TSTP Solution File: ITP011^5 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : ITP011^5 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 03:14:41 EDT 2023
% Result : Timeout 299.46s 300.20s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 2.04/2.22 % Problem : ITP011^5 : TPTP v8.1.2. Bugfixed v7.5.0.
% 2.04/2.23 % Command : do_cvc5 %s %d
% 2.26/2.43 % Computer : n029.cluster.edu
% 2.26/2.43 % Model : x86_64 x86_64
% 2.26/2.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 2.26/2.43 % Memory : 8042.1875MB
% 2.26/2.43 % OS : Linux 3.10.0-693.el7.x86_64
% 2.26/2.43 % CPULimit : 300
% 2.26/2.43 % WCLimit : 300
% 2.26/2.43 % DateTime : Sun Aug 27 16:53:29 EDT 2023
% 2.26/2.43 % CPUTime :
% 5.44/5.65 %----Proving TH0
% 5.44/5.65 %------------------------------------------------------------------------------
% 5.44/5.65 % File : ITP011^5 : TPTP v8.1.2. Bugfixed v7.5.0.
% 5.44/5.65 % Domain : Interactive Theorem Proving
% 5.44/5.65 % Problem : HOL4 set theory export of thm_2Equotient__option_2EOPTION__REL__def.p, chainy mode
% 5.44/5.65 % Version : [BG+19] axioms.
% 5.44/5.65 % English :
% 5.44/5.65
% 5.44/5.65 % Refs : [BG+19] Brown et al. (2019), GRUNGE: A Grand Unified ATP Chall
% 5.44/5.65 % : [Gau20] Gauthier (2020), Email to Geoff Sutcliffe
% 5.44/5.65 % Source : [BG+19]
% 5.44/5.65 % Names : thm_2Equotient__option_2EOPTION__REL__def.p [Gau20]
% 5.44/5.65 % : HL405001^5.p [TPAP]
% 5.44/5.65
% 5.44/5.65 % Status : Theorem
% 5.44/5.65 % Rating : 1.00 v7.5.0
% 5.44/5.65 % Syntax : Number of formulae : 8837 ( 617 unt;1255 typ; 0 def)
% 5.44/5.65 % Number of atoms : 176223 (9032 equ; 0 cnn)
% 5.44/5.65 % Maximal formula atoms : 7693 ( 23 avg)
% 5.44/5.65 % Number of connectives : 432662 ( 916 ~; 485 |;19437 &;389016 @)
% 5.44/5.65 % (3767 <=>;19041 =>; 0 <=; 0 <~>)
% 5.44/5.65 % Maximal formula depth : 368 ( 13 avg)
% 5.44/5.65 % Number of types : 37 ( 35 usr)
% 5.44/5.65 % Number of type conns : 1427 (1427 >; 0 *; 0 +; 0 <<)
% 5.44/5.65 % Number of symbols : 1234 (1231 usr; 284 con; 0-5 aty)
% 5.44/5.65 % Number of variables : 42982 (2775 ^;27329 !;12878 ?;42982 :)
% 5.44/5.65 % SPC : TH0_THM_EQU_NAR
% 5.44/5.65
% 5.44/5.65 % Comments :
% 5.44/5.65 % Bugfixes : v7.5.0 - Bugfixes in axioms and export.
% 5.44/5.65 %------------------------------------------------------------------------------
% 5.44/5.65 %------------------------------------------------------------------------------
% 5.44/5.65 thf(del_tp,type,
% 5.44/5.65 del: $tType ).
% 5.44/5.65
% 5.44/5.65 thf(bool,type,
% 5.44/5.65 bool: del ).
% 5.44/5.65
% 5.44/5.65 thf(ind,type,
% 5.44/5.65 ind: del ).
% 5.44/5.65
% 5.44/5.65 thf(arr,type,
% 5.44/5.65 arr: del > del > del ).
% 5.44/5.65
% 5.44/5.65 thf(mem,type,
% 5.44/5.65 mem: $i > del > $o ).
% 5.44/5.65
% 5.44/5.65 thf(ap,type,
% 5.44/5.65 ap: $i > $i > $i ).
% 5.44/5.65
% 5.44/5.65 thf(lam,type,
% 5.44/5.65 lam: del > ( $i > $i ) > $i ).
% 5.44/5.65
% 5.44/5.65 thf(p,type,
% 5.44/5.65 p: $i > $o ).
% 5.44/5.65
% 5.44/5.65 thf(stp_inj_o,type,
% 5.44/5.65 inj__o: $o > $i ).
% 5.44/5.65
% 5.44/5.65 thf(stp_inj_surj_o,axiom,
% 5.44/5.65 ! [X: $o] :
% 5.44/5.65 ( ( p @ ( inj__o @ X ) )
% 5.44/5.65 = X ) ).
% 5.44/5.65
% 5.44/5.65 thf(stp_inj_mem_o,axiom,
% 5.44/5.65 ! [X: $o] : ( mem @ ( inj__o @ X ) @ bool ) ).
% 5.44/5.65
% 5.44/5.65 thf(stp_iso_mem_o,axiom,
% 5.44/5.65 ! [X: $i] :
% 5.44/5.65 ( ( mem @ X @ bool )
% 5.44/5.65 => ( X
% 5.44/5.65 = ( inj__o @ ( p @ X ) ) ) ) ).
% 5.44/5.65
% 5.44/5.65 thf(ap_tp,axiom,
% 5.44/5.65 ! [A: del,B: del,F: $i] :
% 5.44/5.65 ( ( mem @ F @ ( arr @ A @ B ) )
% 5.44/5.65 => ! [X: $i] :
% 5.44/5.65 ( ( mem @ X @ A )
% 5.44/5.65 => ( mem @ ( ap @ F @ X ) @ B ) ) ) ).
% 5.44/5.65
% 5.44/5.65 thf(lam_tp,axiom,
% 5.44/5.65 ! [A: del,B: del,F: $i > $i] :
% 5.44/5.65 ( ! [X: $i] :
% 5.44/5.65 ( ( mem @ X @ A )
% 5.44/5.65 => ( mem @ ( F @ X ) @ B ) )
% 5.44/5.65 => ( mem @ ( lam @ A @ F ) @ ( arr @ A @ B ) ) ) ).
% 5.44/5.65
% 5.44/5.65 thf(funcext,axiom,
% 5.44/5.65 ! [A: del,B: del,F: $i] :
% 5.44/5.65 ( ( mem @ F @ ( arr @ A @ B ) )
% 5.44/5.65 => ! [G: $i] :
% 5.44/5.65 ( ( mem @ G @ ( arr @ A @ B ) )
% 5.44/5.65 => ( ! [X: $i] :
% 5.44/5.65 ( ( mem @ X @ A )
% 5.44/5.65 => ( ( ap @ F @ X )
% 5.44/5.65 = ( ap @ G @ X ) ) )
% 5.44/5.65 => ( F = G ) ) ) ) ).
% 5.44/5.65
% 5.44/5.65 thf(beta,axiom,
% 5.44/5.65 ! [A: del,F: $i > $i,X: $i] :
% 5.44/5.65 ( ( mem @ X @ A )
% 5.44/5.65 => ( ( ap @ ( lam @ A @ F ) @ X )
% 5.44/5.65 = ( F @ X ) ) ) ).
% 5.44/5.65
% 5.44/5.65 %------------------------------------------------------------------------------
% 5.44/5.65 %------------------------------------------------------------------------------
% 5.44/5.65 thf(tp_c_2Emin_2E_3D,type,
% 5.44/5.65 c_2Emin_2E_3D: del > $i ).
% 5.44/5.65
% 5.44/5.65 thf(mem_c_2Emin_2E_3D,axiom,
% 5.44/5.65 ! [A_27a: del] : ( mem @ ( c_2Emin_2E_3D @ A_27a ) @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) ) ).
% 5.44/5.65
% 5.44/5.65 thf(ax_eq_p,axiom,
% 5.44/5.65 ! [A: del,X: $i] :
% 5.44/5.65 ( ( mem @ X @ A )
% 5.44/5.65 => ! [Y: $i] :
% 5.44/5.65 ( ( mem @ Y @ A )
% 5.44/5.65 => ( ( p @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A ) @ X ) @ Y ) )
% 5.44/5.65 <=> ( X = Y ) ) ) ) ).
% 5.44/5.65
% 5.44/5.65 thf(tp_c_2Emin_2E_3D_3D_3E,type,
% 5.44/5.65 c_2Emin_2E_3D_3D_3E: $i ).
% 5.44/5.65
% 5.44/5.65 thf(mem_c_2Emin_2E_3D_3D_3E,axiom,
% 5.44/5.65 mem @ c_2Emin_2E_3D_3D_3E @ ( arr @ bool @ ( arr @ bool @ bool ) ) ).
% 5.44/5.65
% 5.44/5.65 thf(ax_imp_p,axiom,
% 5.44/5.65 ! [Q: $i] :
% 5.44/5.65 ( ( mem @ Q @ bool )
% 5.44/5.65 => ! [R: $i] :
% 5.44/5.65 ( ( mem @ R @ bool )
% 5.44/5.65 => ( ( p @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ Q ) @ R ) )
% 5.44/5.65 <=> ( ( p @ Q )
% 5.44/5.65 => ( p @ R ) ) ) ) ) ).
% 5.44/5.65
% 5.44/5.65 thf(tp_c_2Emin_2E_40,type,
% 5.44/5.65 c_2Emin_2E_40: del > $i ).
% 5.44/5.65
% 5.44/5.65 thf(mem_c_2Emin_2E_40,axiom,
% 5.44/5.65 ! [A_27a: del] : ( mem @ ( c_2Emin_2E_40 @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ A_27a ) ) ).
% 5.44/5.65
% 5.44/5.65 %------------------------------------------------------------------------------
% 5.44/5.65 %------------------------------------------------------------------------------
% 5.44/5.65 thf(tp_ty_2Ebool_2Eitself,type,
% 5.44/5.65 ty_2Ebool_2Eitself: del > del ).
% 5.44/5.65
% 5.44/5.65 thf(tp_c_2Ebool_2E_21,type,
% 5.44/5.65 c_2Ebool_2E_21: del > $i ).
% 5.44/5.65
% 5.44/5.65 thf(mem_c_2Ebool_2E_21,axiom,
% 5.44/5.65 ! [A_27a: del] : ( mem @ ( c_2Ebool_2E_21 @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) ) ).
% 5.44/5.65
% 5.44/5.65 thf(ax_all_p,axiom,
% 5.44/5.65 ! [A: del,Q: $i] :
% 5.44/5.65 ( ( mem @ Q @ ( arr @ A @ bool ) )
% 5.44/5.65 => ( ( p @ ( ap @ ( c_2Ebool_2E_21 @ A ) @ Q ) )
% 5.44/5.65 <=> ! [X: $i] :
% 5.44/5.65 ( ( mem @ X @ A )
% 5.44/5.65 => ( p @ ( ap @ Q @ X ) ) ) ) ) ).
% 5.44/5.65
% 5.44/5.65 thf(tp_c_2Ebool_2E_2F_5C,type,
% 5.44/5.65 c_2Ebool_2E_2F_5C: $i ).
% 5.44/5.65
% 5.44/5.65 thf(mem_c_2Ebool_2E_2F_5C,axiom,
% 5.44/5.65 mem @ c_2Ebool_2E_2F_5C @ ( arr @ bool @ ( arr @ bool @ bool ) ) ).
% 5.44/5.65
% 5.44/5.65 thf(ax_and_p,axiom,
% 5.44/5.65 ! [Q: $i] :
% 5.44/5.65 ( ( mem @ Q @ bool )
% 5.44/5.65 => ! [R: $i] :
% 5.44/5.65 ( ( mem @ R @ bool )
% 5.44/5.65 => ( ( p @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ Q ) @ R ) )
% 5.44/5.65 <=> ( ( p @ Q )
% 5.44/5.65 & ( p @ R ) ) ) ) ) ).
% 5.44/5.65
% 5.44/5.65 thf(tp_c_2Ebool_2E_3F,type,
% 5.44/5.65 c_2Ebool_2E_3F: del > $i ).
% 5.44/5.65
% 5.44/5.65 thf(mem_c_2Ebool_2E_3F,axiom,
% 5.44/5.65 ! [A_27a: del] : ( mem @ ( c_2Ebool_2E_3F @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) ) ).
% 5.44/5.65
% 5.44/5.65 thf(ax_ex_p,axiom,
% 5.44/5.65 ! [A: del,Q: $i] :
% 5.44/5.65 ( ( mem @ Q @ ( arr @ A @ bool ) )
% 5.44/5.65 => ( ( p @ ( ap @ ( c_2Ebool_2E_3F @ A ) @ Q ) )
% 5.44/5.65 <=> ? [X: $i] :
% 5.44/5.65 ( ( mem @ X @ A )
% 5.44/5.65 & ( p @ ( ap @ Q @ X ) ) ) ) ) ).
% 5.44/5.65
% 5.44/5.65 thf(tp_c_2Ebool_2E_3F_21,type,
% 5.44/5.65 c_2Ebool_2E_3F_21: del > $i ).
% 5.44/5.65
% 5.44/5.65 thf(mem_c_2Ebool_2E_3F_21,axiom,
% 5.44/5.65 ! [A_27a: del] : ( mem @ ( c_2Ebool_2E_3F_21 @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) ) ).
% 5.44/5.65
% 5.44/5.65 thf(tp_c_2Ebool_2EARB,type,
% 5.44/5.65 c_2Ebool_2EARB: del > $i ).
% 5.44/5.65
% 5.44/5.65 thf(mem_c_2Ebool_2EARB,axiom,
% 5.44/5.65 ! [A_27a: del] : ( mem @ ( c_2Ebool_2EARB @ A_27a ) @ A_27a ) ).
% 5.44/5.65
% 5.44/5.65 thf(tp_c_2Ebool_2EBOUNDED,type,
% 5.44/5.65 c_2Ebool_2EBOUNDED: $i ).
% 5.44/5.65
% 5.44/5.65 thf(mem_c_2Ebool_2EBOUNDED,axiom,
% 5.44/5.65 mem @ c_2Ebool_2EBOUNDED @ ( arr @ bool @ bool ) ).
% 5.44/5.65
% 5.44/5.65 thf(tp_c_2Ebool_2ECOND,type,
% 5.44/5.65 c_2Ebool_2ECOND: del > $i ).
% 5.44/5.65
% 5.44/5.65 thf(mem_c_2Ebool_2ECOND,axiom,
% 5.44/5.65 ! [A_27a: del] : ( mem @ ( c_2Ebool_2ECOND @ A_27a ) @ ( arr @ bool @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) ) ).
% 5.44/5.65
% 5.44/5.65 thf(tp_c_2Ebool_2EDATATYPE,type,
% 5.44/5.65 c_2Ebool_2EDATATYPE: del > $i ).
% 5.44/5.65
% 5.44/5.65 thf(mem_c_2Ebool_2EDATATYPE,axiom,
% 5.44/5.65 ! [A_27a: del] : ( mem @ ( c_2Ebool_2EDATATYPE @ A_27a ) @ ( arr @ A_27a @ bool ) ) ).
% 5.44/5.65
% 5.44/5.65 thf(tp_c_2Ebool_2EF,type,
% 5.44/5.65 c_2Ebool_2EF: $i ).
% 5.44/5.65
% 5.44/5.65 thf(mem_c_2Ebool_2EF,axiom,
% 5.44/5.65 mem @ c_2Ebool_2EF @ bool ).
% 5.44/5.65
% 5.44/5.65 thf(ax_false_p,axiom,
% 5.44/5.65 ~ ( p @ c_2Ebool_2EF ) ).
% 5.44/5.65
% 5.44/5.65 thf(tp_c_2Ebool_2EIN,type,
% 5.44/5.65 c_2Ebool_2EIN: del > $i ).
% 5.44/5.65
% 5.44/5.65 thf(mem_c_2Ebool_2EIN,axiom,
% 5.44/5.65 ! [A_27a: del] : ( mem @ ( c_2Ebool_2EIN @ A_27a ) @ ( arr @ A_27a @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) ) ) ).
% 5.44/5.65
% 5.44/5.65 thf(tp_c_2Ebool_2ELET,type,
% 5.44/5.65 c_2Ebool_2ELET: del > del > $i ).
% 5.44/5.65
% 5.44/5.65 thf(mem_c_2Ebool_2ELET,axiom,
% 5.44/5.65 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Ebool_2ELET @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ A_27b ) @ ( arr @ A_27a @ A_27b ) ) ) ).
% 5.44/5.65
% 5.44/5.65 thf(tp_c_2Ebool_2EONE__ONE,type,
% 5.44/5.65 c_2Ebool_2EONE__ONE: del > del > $i ).
% 5.44/5.65
% 5.44/5.65 thf(mem_c_2Ebool_2EONE__ONE,axiom,
% 5.44/5.65 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Ebool_2EONE__ONE @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ A_27b ) @ bool ) ) ).
% 5.44/5.65
% 5.44/5.65 thf(tp_c_2Ebool_2EONTO,type,
% 5.44/5.65 c_2Ebool_2EONTO: del > del > $i ).
% 5.44/5.65
% 5.44/5.65 thf(mem_c_2Ebool_2EONTO,axiom,
% 5.44/5.65 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Ebool_2EONTO @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ A_27b ) @ bool ) ) ).
% 5.44/5.65
% 5.44/5.65 thf(tp_c_2Ebool_2ERES__ABSTRACT,type,
% 5.44/5.65 c_2Ebool_2ERES__ABSTRACT: del > del > $i ).
% 5.44/5.65
% 5.44/5.65 thf(mem_c_2Ebool_2ERES__ABSTRACT,axiom,
% 5.44/5.65 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Ebool_2ERES__ABSTRACT @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( arr @ A_27a @ A_27b ) @ ( arr @ A_27a @ A_27b ) ) ) ) ).
% 5.44/5.65
% 5.44/5.65 thf(tp_c_2Ebool_2ERES__EXISTS,type,
% 5.44/5.65 c_2Ebool_2ERES__EXISTS: del > $i ).
% 5.44/5.65
% 5.44/5.65 thf(mem_c_2Ebool_2ERES__EXISTS,axiom,
% 5.44/5.65 ! [A_27a: del] : ( mem @ ( c_2Ebool_2ERES__EXISTS @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) ) ) ).
% 5.44/5.65
% 5.44/5.65 thf(tp_c_2Ebool_2ERES__EXISTS__UNIQUE,type,
% 5.44/5.65 c_2Ebool_2ERES__EXISTS__UNIQUE: del > $i ).
% 5.44/5.65
% 5.44/5.65 thf(mem_c_2Ebool_2ERES__EXISTS__UNIQUE,axiom,
% 5.44/5.65 ! [A_27a: del] : ( mem @ ( c_2Ebool_2ERES__EXISTS__UNIQUE @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) ) ) ).
% 5.44/5.65
% 5.44/5.65 thf(tp_c_2Ebool_2ERES__FORALL,type,
% 5.44/5.65 c_2Ebool_2ERES__FORALL: del > $i ).
% 5.44/5.65
% 5.44/5.65 thf(mem_c_2Ebool_2ERES__FORALL,axiom,
% 5.44/5.65 ! [A_27a: del] : ( mem @ ( c_2Ebool_2ERES__FORALL @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) ) ) ).
% 5.44/5.65
% 5.44/5.65 thf(tp_c_2Ebool_2ERES__SELECT,type,
% 5.44/5.65 c_2Ebool_2ERES__SELECT: del > $i ).
% 5.44/5.65
% 5.44/5.65 thf(mem_c_2Ebool_2ERES__SELECT,axiom,
% 5.44/5.65 ! [A_27a: del] : ( mem @ ( c_2Ebool_2ERES__SELECT @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( arr @ A_27a @ bool ) @ A_27a ) ) ) ).
% 5.44/5.65
% 5.44/5.65 thf(tp_c_2Ebool_2ET,type,
% 5.44/5.65 c_2Ebool_2ET: $i ).
% 5.44/5.65
% 5.44/5.65 thf(mem_c_2Ebool_2ET,axiom,
% 5.44/5.65 mem @ c_2Ebool_2ET @ bool ).
% 5.44/5.65
% 5.44/5.65 thf(ax_true_p,axiom,
% 5.44/5.65 p @ c_2Ebool_2ET ).
% 5.44/5.65
% 5.44/5.65 thf(tp_c_2Ebool_2ETYPE__DEFINITION,type,
% 5.44/5.65 c_2Ebool_2ETYPE__DEFINITION: del > del > $i ).
% 5.44/5.65
% 5.44/5.65 thf(mem_c_2Ebool_2ETYPE__DEFINITION,axiom,
% 5.44/5.65 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Ebool_2ETYPE__DEFINITION @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( arr @ A_27b @ A_27a ) @ bool ) ) ) ).
% 5.44/5.65
% 5.44/5.65 thf(tp_c_2Ebool_2E_5C_2F,type,
% 5.44/5.65 c_2Ebool_2E_5C_2F: $i ).
% 5.44/5.65
% 5.44/5.65 thf(mem_c_2Ebool_2E_5C_2F,axiom,
% 5.44/5.65 mem @ c_2Ebool_2E_5C_2F @ ( arr @ bool @ ( arr @ bool @ bool ) ) ).
% 5.44/5.65
% 5.44/5.65 thf(ax_or_p,axiom,
% 5.44/5.65 ! [Q: $i] :
% 5.44/5.65 ( ( mem @ Q @ bool )
% 5.44/5.65 => ! [R: $i] :
% 5.44/5.65 ( ( mem @ R @ bool )
% 5.44/5.65 => ( ( p @ ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ Q ) @ R ) )
% 5.44/5.65 <=> ( ( p @ Q )
% 5.44/5.65 | ( p @ R ) ) ) ) ) ).
% 5.44/5.65
% 5.44/5.65 thf(tp_c_2Ebool_2Eitself__case,type,
% 5.44/5.65 c_2Ebool_2Eitself__case: del > del > $i ).
% 5.44/5.65
% 5.44/5.65 thf(mem_c_2Ebool_2Eitself__case,axiom,
% 5.44/5.65 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Ebool_2Eitself__case @ A_27a @ A_27b ) @ ( arr @ ( ty_2Ebool_2Eitself @ A_27a ) @ ( arr @ A_27b @ A_27b ) ) ) ).
% 5.44/5.65
% 5.44/5.65 thf(tp_c_2Ebool_2Eliteral__case,type,
% 5.44/5.65 c_2Ebool_2Eliteral__case: del > del > $i ).
% 5.44/5.65
% 5.44/5.65 thf(mem_c_2Ebool_2Eliteral__case,axiom,
% 5.44/5.65 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Ebool_2Eliteral__case @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ A_27b ) @ ( arr @ A_27a @ A_27b ) ) ) ).
% 5.44/5.65
% 5.44/5.65 thf(tp_c_2Ebool_2Ethe__value,type,
% 5.44/5.65 c_2Ebool_2Ethe__value: del > $i ).
% 5.44/5.65
% 5.44/5.65 thf(mem_c_2Ebool_2Ethe__value,axiom,
% 5.44/5.65 ! [A_27a: del] : ( mem @ ( c_2Ebool_2Ethe__value @ A_27a ) @ ( ty_2Ebool_2Eitself @ A_27a ) ) ).
% 5.44/5.65
% 5.44/5.65 thf(tp_c_2Ebool_2E_7E,type,
% 5.44/5.65 c_2Ebool_2E_7E: $i ).
% 5.44/5.65
% 5.44/5.65 thf(mem_c_2Ebool_2E_7E,axiom,
% 5.44/5.65 mem @ c_2Ebool_2E_7E @ ( arr @ bool @ bool ) ).
% 5.44/5.65
% 5.44/5.65 thf(ax_neg_p,axiom,
% 5.44/5.65 ! [Q: $i] :
% 5.44/5.65 ( ( mem @ Q @ bool )
% 5.44/5.65 => ( ( p @ ( ap @ c_2Ebool_2E_7E @ Q ) )
% 5.44/5.65 <=> ~ ( p @ Q ) ) ) ).
% 5.44/5.65
% 5.44/5.65 thf(ax_thm_2Ebool_2ET__DEF,axiom,
% 5.44/5.65 ( $true
% 5.44/5.65 <=> ( ( lam @ bool
% 5.44/5.65 @ ^ [V0x: $i] : V0x )
% 5.44/5.65 = ( lam @ bool
% 5.44/5.65 @ ^ [V1x: $i] : V1x ) ) ) ).
% 5.44/5.65
% 5.44/5.65 thf(ax_thm_2Ebool_2EFORALL__DEF,axiom,
% 5.44/5.65 ! [A_27a: del] :
% 5.44/5.65 ( ( c_2Ebool_2E_21 @ A_27a )
% 5.44/5.65 = ( lam @ ( arr @ A_27a @ bool )
% 5.44/5.65 @ ^ [V0P: $i] :
% 5.44/5.65 ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( arr @ A_27a @ bool ) ) @ V0P )
% 5.44/5.65 @ ( lam @ A_27a
% 5.44/5.65 @ ^ [V1x: $i] : c_2Ebool_2ET ) ) ) ) ).
% 5.44/5.65
% 5.44/5.65 thf(ax_thm_2Ebool_2EEXISTS__DEF,axiom,
% 5.44/5.65 ! [A_27a: del] :
% 5.44/5.65 ( ( c_2Ebool_2E_3F @ A_27a )
% 5.44/5.65 = ( lam @ ( arr @ A_27a @ bool )
% 5.44/5.65 @ ^ [V0P: $i] : ( ap @ V0P @ ( ap @ ( c_2Emin_2E_40 @ A_27a ) @ V0P ) ) ) ) ).
% 5.44/5.65
% 5.44/5.65 thf(ax_thm_2Ebool_2EAND__DEF,axiom,
% 5.44/5.65 ( c_2Ebool_2E_2F_5C
% 5.44/5.65 = ( lam @ bool
% 5.44/5.65 @ ^ [V0t1: $i] :
% 5.44/5.65 ( lam @ bool
% 5.44/5.65 @ ^ [V1t2: $i] :
% 5.44/5.65 ( ap @ ( c_2Ebool_2E_21 @ bool )
% 5.44/5.65 @ ( lam @ bool
% 5.44/5.65 @ ^ [V2t: $i] : ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ V0t1 ) @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ V1t2 ) @ V2t ) ) ) @ V2t ) ) ) ) ) ) ).
% 5.44/5.65
% 5.44/5.65 thf(ax_thm_2Ebool_2EOR__DEF,axiom,
% 5.44/5.65 ( c_2Ebool_2E_5C_2F
% 5.44/5.65 = ( lam @ bool
% 5.44/5.65 @ ^ [V0t1: $i] :
% 5.44/5.65 ( lam @ bool
% 5.44/5.65 @ ^ [V1t2: $i] :
% 5.44/5.65 ( ap @ ( c_2Ebool_2E_21 @ bool )
% 5.44/5.65 @ ( lam @ bool
% 5.44/5.65 @ ^ [V2t: $i] : ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ V0t1 ) @ V2t ) ) @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ V1t2 ) @ V2t ) ) @ V2t ) ) ) ) ) ) ) ).
% 5.44/5.65
% 5.44/5.65 thf(ax_thm_2Ebool_2EF__DEF,axiom,
% 5.44/5.65 ( $false
% 5.44/5.65 <=> ! [V0t: $i] :
% 5.44/5.65 ( ( mem @ V0t @ bool )
% 5.44/5.65 => ( p @ V0t ) ) ) ).
% 5.44/5.65
% 5.44/5.65 thf(ax_thm_2Ebool_2ENOT__DEF,axiom,
% 5.44/5.65 ( c_2Ebool_2E_7E
% 5.44/5.65 = ( lam @ bool
% 5.44/5.65 @ ^ [V0t: $i] : ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ V0t ) @ c_2Ebool_2EF ) ) ) ).
% 5.44/5.65
% 5.44/5.65 thf(ax_thm_2Ebool_2EEXISTS__UNIQUE__DEF,axiom,
% 5.44/5.65 ! [A_27a: del] :
% 5.44/5.65 ( ( c_2Ebool_2E_3F_21 @ A_27a )
% 5.44/5.65 = ( lam @ ( arr @ A_27a @ bool )
% 5.44/5.65 @ ^ [V0P: $i] :
% 5.44/5.65 ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( c_2Ebool_2E_3F @ A_27a ) @ V0P ) )
% 5.44/5.65 @ ( ap @ ( c_2Ebool_2E_21 @ A_27a )
% 5.44/5.65 @ ( lam @ A_27a
% 5.44/5.65 @ ^ [V1x: $i] :
% 5.44/5.65 ( ap @ ( c_2Ebool_2E_21 @ A_27a )
% 5.44/5.65 @ ( lam @ A_27a
% 5.44/5.65 @ ^ [V2y: $i] : ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0P @ V1x ) ) @ ( ap @ V0P @ V2y ) ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V1x ) @ V2y ) ) ) ) ) ) ) ) ) ).
% 5.44/5.65
% 5.44/5.65 thf(ax_thm_2Ebool_2ELET__DEF,axiom,
% 5.44/5.65 ! [A_27a: del,A_27b: del] :
% 5.44/5.65 ( ( c_2Ebool_2ELET @ A_27a @ A_27b )
% 5.44/5.65 = ( lam @ ( arr @ A_27a @ A_27b )
% 5.44/5.65 @ ^ [V0f: $i] :
% 5.44/5.65 ( lam @ A_27a
% 5.44/5.65 @ ^ [V1x: $i] : ( ap @ V0f @ V1x ) ) ) ) ).
% 5.44/5.65
% 5.44/5.65 thf(ax_thm_2Ebool_2ECOND__DEF,axiom,
% 5.44/5.65 ! [A_27a: del] :
% 5.44/5.65 ( ( c_2Ebool_2ECOND @ A_27a )
% 5.44/5.65 = ( lam @ bool
% 5.44/5.65 @ ^ [V0t: $i] :
% 5.44/5.65 ( lam @ A_27a
% 5.44/5.65 @ ^ [V1t1: $i] :
% 5.44/5.65 ( lam @ A_27a
% 5.44/5.65 @ ^ [V2t2: $i] :
% 5.44/5.65 ( ap @ ( c_2Emin_2E_40 @ A_27a )
% 5.44/5.65 @ ( lam @ A_27a
% 5.44/5.65 @ ^ [V3x: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ bool ) @ V0t ) @ c_2Ebool_2ET ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V3x ) @ V1t1 ) ) ) @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ bool ) @ V0t ) @ c_2Ebool_2EF ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V3x ) @ V2t2 ) ) ) ) ) ) ) ) ) ).
% 5.44/5.65
% 5.44/5.65 thf(ax_thm_2Ebool_2EONE__ONE__DEF,axiom,
% 5.44/5.65 ! [A_27a: del,A_27b: del] :
% 5.44/5.65 ( ( c_2Ebool_2EONE__ONE @ A_27a @ A_27b )
% 5.44/5.65 = ( lam @ ( arr @ A_27a @ A_27b )
% 5.44/5.65 @ ^ [V0f: $i] :
% 5.44/5.65 ( ap @ ( c_2Ebool_2E_21 @ A_27a )
% 5.44/5.65 @ ( lam @ A_27a
% 5.44/5.65 @ ^ [V1x1: $i] :
% 5.44/5.65 ( ap @ ( c_2Ebool_2E_21 @ A_27a )
% 5.44/5.65 @ ( lam @ A_27a
% 5.44/5.65 @ ^ [V2x2: $i] : ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27b ) @ ( ap @ V0f @ V1x1 ) ) @ ( ap @ V0f @ V2x2 ) ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V1x1 ) @ V2x2 ) ) ) ) ) ) ) ) ).
% 5.44/5.65
% 5.44/5.65 thf(ax_thm_2Ebool_2EONTO__DEF,axiom,
% 5.44/5.65 ! [A_27a: del,A_27b: del] :
% 5.44/5.65 ( ( c_2Ebool_2EONTO @ A_27a @ A_27b )
% 5.44/5.65 = ( lam @ ( arr @ A_27a @ A_27b )
% 5.44/5.65 @ ^ [V0f: $i] :
% 5.44/5.65 ( ap @ ( c_2Ebool_2E_21 @ A_27b )
% 5.44/5.65 @ ( lam @ A_27b
% 5.44/5.65 @ ^ [V1y: $i] :
% 5.44/5.65 ( ap @ ( c_2Ebool_2E_3F @ A_27a )
% 5.44/5.65 @ ( lam @ A_27a
% 5.44/5.65 @ ^ [V2x: $i] : ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27b ) @ V1y ) @ ( ap @ V0f @ V2x ) ) ) ) ) ) ) ) ).
% 5.44/5.65
% 5.44/5.65 thf(ax_thm_2Ebool_2ETYPE__DEFINITION,axiom,
% 5.44/5.65 ! [A_27a: del,A_27b: del] :
% 5.44/5.65 ( ( c_2Ebool_2ETYPE__DEFINITION @ A_27a @ A_27b )
% 5.44/5.65 = ( lam @ ( arr @ A_27a @ bool )
% 5.44/5.65 @ ^ [V0P: $i] :
% 5.44/5.65 ( lam @ ( arr @ A_27b @ A_27a )
% 5.44/5.65 @ ^ [V1rep: $i] :
% 5.44/5.65 ( ap
% 5.44/5.65 @ ( ap @ c_2Ebool_2E_2F_5C
% 5.44/5.65 @ ( ap @ ( c_2Ebool_2E_21 @ A_27b )
% 5.44/5.65 @ ( lam @ A_27b
% 5.44/5.65 @ ^ [V2x_27: $i] :
% 5.44/5.65 ( ap @ ( c_2Ebool_2E_21 @ A_27b )
% 5.44/5.65 @ ( lam @ A_27b
% 5.44/5.65 @ ^ [V3x_27_27: $i] : ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ ( ap @ V1rep @ V2x_27 ) ) @ ( ap @ V1rep @ V3x_27_27 ) ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27b ) @ V2x_27 ) @ V3x_27_27 ) ) ) ) ) ) )
% 5.44/5.65 @ ( ap @ ( c_2Ebool_2E_21 @ A_27a )
% 5.44/5.65 @ ( lam @ A_27a
% 5.44/5.65 @ ^ [V4x: $i] :
% 5.44/5.65 ( ap @ ( ap @ ( c_2Emin_2E_3D @ bool ) @ ( ap @ V0P @ V4x ) )
% 5.44/5.65 @ ( ap @ ( c_2Ebool_2E_3F @ A_27b )
% 5.44/5.65 @ ( lam @ A_27b
% 5.44/5.65 @ ^ [V5x_27: $i] : ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V4x ) @ ( ap @ V1rep @ V5x_27 ) ) ) ) ) ) ) ) ) ) ) ).
% 5.44/5.65
% 5.44/5.65 thf(ax_thm_2Ebool_2EBOOL__CASES__AX,axiom,
% 5.44/5.65 ! [V0t: $i] :
% 5.44/5.65 ( ( mem @ V0t @ bool )
% 5.44/5.65 => ( ( ( p @ V0t )
% 5.44/5.65 <=> $true )
% 5.44/5.65 | ( ( p @ V0t )
% 5.44/5.65 <=> $false ) ) ) ).
% 5.44/5.65
% 5.44/5.65 thf(ax_thm_2Ebool_2EETA__AX,axiom,
% 5.44/5.65 ! [A_27a: del,A_27b: del,V0t: $i] :
% 5.44/5.65 ( ( mem @ V0t @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.65 => ( ( lam @ A_27a
% 5.44/5.65 @ ^ [V1x: $i] : ( ap @ V0t @ V1x ) )
% 5.44/5.65 = V0t ) ) ).
% 5.44/5.65
% 5.44/5.65 thf(ax_thm_2Ebool_2ESELECT__AX,axiom,
% 5.44/5.65 ! [A_27a: del,V0P: $i] :
% 5.44/5.65 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.44/5.65 => ! [V1x: $i] :
% 5.44/5.65 ( ( mem @ V1x @ A_27a )
% 5.44/5.65 => ( ( p @ ( ap @ V0P @ V1x ) )
% 5.44/5.65 => ( p @ ( ap @ V0P @ ( ap @ ( c_2Emin_2E_40 @ A_27a ) @ V0P ) ) ) ) ) ) ).
% 5.44/5.65
% 5.44/5.65 thf(stp_i,type,
% 5.44/5.65 tp__i: $tType ).
% 5.44/5.65
% 5.44/5.65 thf(stp_inj_i,type,
% 5.44/5.65 inj__i: tp__i > $i ).
% 5.44/5.65
% 5.44/5.65 thf(stp_surj_i,type,
% 5.44/5.65 surj__i: $i > tp__i ).
% 5.44/5.65
% 5.44/5.65 thf(stp_inj_surj_i,axiom,
% 5.44/5.65 ! [X: tp__i] :
% 5.44/5.65 ( ( surj__i @ ( inj__i @ X ) )
% 5.44/5.65 = X ) ).
% 5.44/5.65
% 5.44/5.65 thf(stp_inj_mem_i,axiom,
% 5.44/5.65 ! [X: tp__i] : ( mem @ ( inj__i @ X ) @ ind ) ).
% 5.44/5.65
% 5.44/5.65 thf(stp_iso_mem_i,axiom,
% 5.44/5.65 ! [X: $i] :
% 5.44/5.65 ( ( mem @ X @ ind )
% 5.44/5.65 => ( X
% 5.44/5.65 = ( inj__i @ ( surj__i @ X ) ) ) ) ).
% 5.44/5.65
% 5.44/5.65 thf(ax_thm_2Ebool_2EINFINITY__AX,axiom,
% 5.44/5.65 ? [V0f: $i] :
% 5.44/5.65 ( ( mem @ V0f @ ( arr @ ind @ ind ) )
% 5.44/5.65 & ( p @ ( ap @ ( c_2Ebool_2EONE__ONE @ ind @ ind ) @ V0f ) )
% 5.44/5.65 & ~ ( p @ ( ap @ ( c_2Ebool_2EONTO @ ind @ ind ) @ V0f ) ) ) ).
% 5.44/5.65
% 5.44/5.65 thf(ax_thm_2Ebool_2Eliteral__case__DEF,axiom,
% 5.44/5.65 ! [A_27a: del,A_27b: del] :
% 5.44/5.65 ( ( c_2Ebool_2Eliteral__case @ A_27a @ A_27b )
% 5.44/5.65 = ( lam @ ( arr @ A_27a @ A_27b )
% 5.44/5.65 @ ^ [V0f: $i] :
% 5.44/5.65 ( lam @ A_27a
% 5.44/5.65 @ ^ [V1x: $i] : ( ap @ V0f @ V1x ) ) ) ) ).
% 5.44/5.65
% 5.44/5.65 thf(ax_thm_2Ebool_2EIN__DEF,axiom,
% 5.44/5.65 ! [A_27a: del] :
% 5.44/5.65 ( ( c_2Ebool_2EIN @ A_27a )
% 5.44/5.65 = ( lam @ A_27a
% 5.44/5.65 @ ^ [V0x: $i] :
% 5.44/5.65 ( lam @ ( arr @ A_27a @ bool )
% 5.44/5.65 @ ^ [V1f: $i] : ( ap @ V1f @ V0x ) ) ) ) ).
% 5.44/5.65
% 5.44/5.65 thf(ax_thm_2Ebool_2ERES__FORALL__DEF,axiom,
% 5.44/5.65 ! [A_27a: del] :
% 5.44/5.65 ( ( c_2Ebool_2ERES__FORALL @ A_27a )
% 5.44/5.65 = ( lam @ ( arr @ A_27a @ bool )
% 5.44/5.65 @ ^ [V0p: $i] :
% 5.44/5.65 ( lam @ ( arr @ A_27a @ bool )
% 5.44/5.65 @ ^ [V1m: $i] :
% 5.44/5.65 ( ap @ ( c_2Ebool_2E_21 @ A_27a )
% 5.44/5.65 @ ( lam @ A_27a
% 5.44/5.65 @ ^ [V2x: $i] : ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V0p ) ) @ ( ap @ V1m @ V2x ) ) ) ) ) ) ) ).
% 5.44/5.65
% 5.44/5.65 thf(ax_thm_2Ebool_2ERES__EXISTS__DEF,axiom,
% 5.44/5.65 ! [A_27a: del] :
% 5.44/5.65 ( ( c_2Ebool_2ERES__EXISTS @ A_27a )
% 5.44/5.65 = ( lam @ ( arr @ A_27a @ bool )
% 5.44/5.65 @ ^ [V0p: $i] :
% 5.44/5.65 ( lam @ ( arr @ A_27a @ bool )
% 5.44/5.65 @ ^ [V1m: $i] :
% 5.44/5.65 ( ap @ ( c_2Ebool_2E_3F @ A_27a )
% 5.44/5.65 @ ( lam @ A_27a
% 5.44/5.65 @ ^ [V2x: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V0p ) ) @ ( ap @ V1m @ V2x ) ) ) ) ) ) ) ).
% 5.44/5.65
% 5.44/5.65 thf(ax_thm_2Ebool_2ERES__EXISTS__UNIQUE__DEF,axiom,
% 5.44/5.65 ! [A_27a: del] :
% 5.44/5.65 ( ( c_2Ebool_2ERES__EXISTS__UNIQUE @ A_27a )
% 5.44/5.65 = ( lam @ ( arr @ A_27a @ bool )
% 5.44/5.65 @ ^ [V0p: $i] :
% 5.44/5.65 ( lam @ ( arr @ A_27a @ bool )
% 5.44/5.65 @ ^ [V1m: $i] :
% 5.44/5.65 ( ap
% 5.44/5.65 @ ( ap @ c_2Ebool_2E_2F_5C
% 5.44/5.65 @ ( ap @ ( ap @ ( c_2Ebool_2ERES__EXISTS @ A_27a ) @ V0p )
% 5.44/5.65 @ ( lam @ A_27a
% 5.44/5.65 @ ^ [V2x: $i] : ( ap @ V1m @ V2x ) ) ) )
% 5.44/5.65 @ ( ap @ ( ap @ ( c_2Ebool_2ERES__FORALL @ A_27a ) @ V0p )
% 5.44/5.65 @ ( lam @ A_27a
% 5.44/5.65 @ ^ [V3x: $i] :
% 5.44/5.65 ( ap @ ( ap @ ( c_2Ebool_2ERES__FORALL @ A_27a ) @ V0p )
% 5.44/5.65 @ ( lam @ A_27a
% 5.44/5.65 @ ^ [V4y: $i] : ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V1m @ V3x ) ) @ ( ap @ V1m @ V4y ) ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V3x ) @ V4y ) ) ) ) ) ) ) ) ) ) ).
% 5.44/5.65
% 5.44/5.65 thf(ax_thm_2Ebool_2ERES__SELECT__DEF,axiom,
% 5.44/5.65 ! [A_27a: del] :
% 5.44/5.65 ( ( c_2Ebool_2ERES__SELECT @ A_27a )
% 5.44/5.65 = ( lam @ ( arr @ A_27a @ bool )
% 5.44/5.65 @ ^ [V0p: $i] :
% 5.44/5.65 ( lam @ ( arr @ A_27a @ bool )
% 5.44/5.65 @ ^ [V1m: $i] :
% 5.44/5.65 ( ap @ ( c_2Emin_2E_40 @ A_27a )
% 5.44/5.65 @ ( lam @ A_27a
% 5.44/5.65 @ ^ [V2x: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V0p ) ) @ ( ap @ V1m @ V2x ) ) ) ) ) ) ) ).
% 5.44/5.65
% 5.44/5.65 thf(ax_thm_2Ebool_2EBOUNDED__DEF,axiom,
% 5.44/5.65 ( c_2Ebool_2EBOUNDED
% 5.44/5.65 = ( lam @ bool
% 5.44/5.65 @ ^ [V0v: $i] : c_2Ebool_2ET ) ) ).
% 5.44/5.65
% 5.44/5.65 thf(ax_thm_2Ebool_2EDATATYPE__TAG__DEF,axiom,
% 5.44/5.65 ! [A_27a: del] :
% 5.44/5.65 ( ( c_2Ebool_2EDATATYPE @ A_27a )
% 5.44/5.65 = ( lam @ A_27a
% 5.44/5.65 @ ^ [V0x: $i] : c_2Ebool_2ET ) ) ).
% 5.44/5.65
% 5.44/5.65 thf(conj_thm_2Ebool_2ETRUTH,axiom,
% 5.44/5.65 $true ).
% 5.44/5.65
% 5.44/5.65 thf(conj_thm_2Ebool_2EIMP__ANTISYM__AX,axiom,
% 5.44/5.65 ! [V0t1: $i] :
% 5.44/5.65 ( ( mem @ V0t1 @ bool )
% 5.44/5.65 => ! [V1t2: $i] :
% 5.44/5.65 ( ( mem @ V1t2 @ bool )
% 5.44/5.65 => ( ( ( p @ V0t1 )
% 5.44/5.65 => ( p @ V1t2 ) )
% 5.44/5.65 => ( ( ( p @ V1t2 )
% 5.44/5.65 => ( p @ V0t1 ) )
% 5.44/5.65 => ( ( p @ V0t1 )
% 5.44/5.65 <=> ( p @ V1t2 ) ) ) ) ) ) ).
% 5.44/5.65
% 5.44/5.65 thf(conj_thm_2Ebool_2EFALSITY,axiom,
% 5.44/5.65 ! [V0t: $i] :
% 5.44/5.65 ( ( mem @ V0t @ bool )
% 5.44/5.65 => ( $false
% 5.44/5.65 => ( p @ V0t ) ) ) ).
% 5.44/5.65
% 5.44/5.65 thf(conj_thm_2Ebool_2EETA__THM,axiom,
% 5.44/5.65 ! [A_27a: del,A_27b: del,V0M: $i] :
% 5.44/5.65 ( ( mem @ V0M @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.65 => ( ( lam @ A_27a
% 5.44/5.65 @ ^ [V1x: $i] : ( ap @ V0M @ V1x ) )
% 5.44/5.65 = V0M ) ) ).
% 5.44/5.65
% 5.44/5.65 thf(conj_thm_2Ebool_2EEXCLUDED__MIDDLE,axiom,
% 5.44/5.65 ! [V0t: $i] :
% 5.44/5.65 ( ( mem @ V0t @ bool )
% 5.44/5.66 => ( ( p @ V0t )
% 5.44/5.66 | ~ ( p @ V0t ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2EBETA__THM,axiom,
% 5.44/5.66 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.66 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.66 => ! [V1y: $i] :
% 5.44/5.66 ( ( mem @ V1y @ A_27a )
% 5.44/5.66 => ( ( ap
% 5.44/5.66 @ ( lam @ A_27a
% 5.44/5.66 @ ^ [V2x: $i] : ( ap @ V0f @ V2x ) )
% 5.44/5.66 @ V1y )
% 5.44/5.66 = ( ap @ V0f @ V1y ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2ELET__THM,axiom,
% 5.44/5.66 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.66 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.66 => ! [V1x: $i] :
% 5.44/5.66 ( ( mem @ V1x @ A_27a )
% 5.44/5.66 => ( ( ap @ ( ap @ ( c_2Ebool_2ELET @ A_27a @ A_27b ) @ V0f ) @ V1x )
% 5.44/5.66 = ( ap @ V0f @ V1x ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2EFORALL__THM,axiom,
% 5.44/5.66 ! [A_27a: del,V0f: $i] :
% 5.44/5.66 ( ( mem @ V0f @ ( arr @ A_27a @ bool ) )
% 5.44/5.66 => ( ( p @ ( ap @ ( c_2Ebool_2E_21 @ A_27a ) @ V0f ) )
% 5.44/5.66 <=> ! [V1x: $i] :
% 5.44/5.66 ( ( mem @ V1x @ A_27a )
% 5.44/5.66 => ( p @ ( ap @ V0f @ V1x ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2EEXISTS__THM,axiom,
% 5.44/5.66 ! [A_27a: del,V0f: $i] :
% 5.44/5.66 ( ( mem @ V0f @ ( arr @ A_27a @ bool ) )
% 5.44/5.66 => ( ( p @ ( ap @ ( c_2Ebool_2E_3F @ A_27a ) @ V0f ) )
% 5.44/5.66 <=> ? [V1x: $i] :
% 5.44/5.66 ( ( mem @ V1x @ A_27a )
% 5.44/5.66 & ( p @ ( ap @ V0f @ V1x ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2EABS__SIMP,axiom,
% 5.44/5.66 ! [A_27a: del,A_27b: del,V0t1: $i] :
% 5.44/5.66 ( ( mem @ V0t1 @ A_27a )
% 5.44/5.66 => ! [V1t2: $i] :
% 5.44/5.66 ( ( mem @ V1t2 @ A_27b )
% 5.44/5.66 => ( ( ap
% 5.44/5.66 @ ( lam @ A_27b
% 5.44/5.66 @ ^ [V2x: $i] : V0t1 )
% 5.44/5.66 @ V1t2 )
% 5.44/5.66 = V0t1 ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2EFORALL__SIMP,axiom,
% 5.44/5.66 ! [A_27a: del,V0t: $i] :
% 5.44/5.66 ( ( mem @ V0t @ bool )
% 5.44/5.66 => ( ! [V1x: $i] :
% 5.44/5.66 ( ( mem @ V1x @ A_27a )
% 5.44/5.66 => ( p @ V0t ) )
% 5.44/5.66 <=> ( p @ V0t ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2EEXISTS__SIMP,axiom,
% 5.44/5.66 ! [A_27a: del,V0t: $i] :
% 5.44/5.66 ( ( mem @ V0t @ bool )
% 5.44/5.66 => ( ? [V1x: $i] :
% 5.44/5.66 ( ( mem @ V1x @ A_27a )
% 5.44/5.66 & ( p @ V0t ) )
% 5.44/5.66 <=> ( p @ V0t ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2EAND__INTRO__THM,axiom,
% 5.44/5.66 ! [V0t1: $i] :
% 5.44/5.66 ( ( mem @ V0t1 @ bool )
% 5.44/5.66 => ! [V1t2: $i] :
% 5.44/5.66 ( ( mem @ V1t2 @ bool )
% 5.44/5.66 => ( ( p @ V0t1 )
% 5.44/5.66 => ( ( p @ V1t2 )
% 5.44/5.66 => ( ( p @ V0t1 )
% 5.44/5.66 & ( p @ V1t2 ) ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2EAND1__THM,axiom,
% 5.44/5.66 ! [V0t1: $i] :
% 5.44/5.66 ( ( mem @ V0t1 @ bool )
% 5.44/5.66 => ! [V1t2: $i] :
% 5.44/5.66 ( ( mem @ V1t2 @ bool )
% 5.44/5.66 => ( ( ( p @ V0t1 )
% 5.44/5.66 & ( p @ V1t2 ) )
% 5.44/5.66 => ( p @ V0t1 ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2EAND2__THM,axiom,
% 5.44/5.66 ! [V0t1: $i] :
% 5.44/5.66 ( ( mem @ V0t1 @ bool )
% 5.44/5.66 => ! [V1t2: $i] :
% 5.44/5.66 ( ( mem @ V1t2 @ bool )
% 5.44/5.66 => ( ( ( p @ V0t1 )
% 5.44/5.66 & ( p @ V1t2 ) )
% 5.44/5.66 => ( p @ V1t2 ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2ECONJ__SYM,axiom,
% 5.44/5.66 ! [V0t1: $i] :
% 5.44/5.66 ( ( mem @ V0t1 @ bool )
% 5.44/5.66 => ! [V1t2: $i] :
% 5.44/5.66 ( ( mem @ V1t2 @ bool )
% 5.44/5.66 => ( ( ( p @ V0t1 )
% 5.44/5.66 & ( p @ V1t2 ) )
% 5.44/5.66 <=> ( ( p @ V1t2 )
% 5.44/5.66 & ( p @ V0t1 ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2ECONJ__COMM,axiom,
% 5.44/5.66 ! [V0t1: $i] :
% 5.44/5.66 ( ( mem @ V0t1 @ bool )
% 5.44/5.66 => ! [V1t2: $i] :
% 5.44/5.66 ( ( mem @ V1t2 @ bool )
% 5.44/5.66 => ( ( ( p @ V0t1 )
% 5.44/5.66 & ( p @ V1t2 ) )
% 5.44/5.66 <=> ( ( p @ V1t2 )
% 5.44/5.66 & ( p @ V0t1 ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2ECONJ__ASSOC,axiom,
% 5.44/5.66 ! [V0t1: $i] :
% 5.44/5.66 ( ( mem @ V0t1 @ bool )
% 5.44/5.66 => ! [V1t2: $i] :
% 5.44/5.66 ( ( mem @ V1t2 @ bool )
% 5.44/5.66 => ! [V2t3: $i] :
% 5.44/5.66 ( ( mem @ V2t3 @ bool )
% 5.44/5.66 => ( ( ( p @ V0t1 )
% 5.44/5.66 & ( p @ V1t2 )
% 5.44/5.66 & ( p @ V2t3 ) )
% 5.44/5.66 <=> ( ( p @ V0t1 )
% 5.44/5.66 & ( p @ V1t2 )
% 5.44/5.66 & ( p @ V2t3 ) ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2EOR__INTRO__THM1,axiom,
% 5.44/5.66 ! [V0t1: $i] :
% 5.44/5.66 ( ( mem @ V0t1 @ bool )
% 5.44/5.66 => ! [V1t2: $i] :
% 5.44/5.66 ( ( mem @ V1t2 @ bool )
% 5.44/5.66 => ( ( p @ V0t1 )
% 5.44/5.66 => ( ( p @ V0t1 )
% 5.44/5.66 | ( p @ V1t2 ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2EOR__INTRO__THM2,axiom,
% 5.44/5.66 ! [V0t1: $i] :
% 5.44/5.66 ( ( mem @ V0t1 @ bool )
% 5.44/5.66 => ! [V1t2: $i] :
% 5.44/5.66 ( ( mem @ V1t2 @ bool )
% 5.44/5.66 => ( ( p @ V1t2 )
% 5.44/5.66 => ( ( p @ V0t1 )
% 5.44/5.66 | ( p @ V1t2 ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2EOR__ELIM__THM,axiom,
% 5.44/5.66 ! [V0t: $i] :
% 5.44/5.66 ( ( mem @ V0t @ bool )
% 5.44/5.66 => ! [V1t1: $i] :
% 5.44/5.66 ( ( mem @ V1t1 @ bool )
% 5.44/5.66 => ! [V2t2: $i] :
% 5.44/5.66 ( ( mem @ V2t2 @ bool )
% 5.44/5.66 => ( ( ( p @ V1t1 )
% 5.44/5.66 | ( p @ V2t2 ) )
% 5.44/5.66 => ( ( ( p @ V1t1 )
% 5.44/5.66 => ( p @ V0t ) )
% 5.44/5.66 => ( ( ( p @ V2t2 )
% 5.44/5.66 => ( p @ V0t ) )
% 5.44/5.66 => ( p @ V0t ) ) ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2EIMP__F,axiom,
% 5.44/5.66 ! [V0t: $i] :
% 5.44/5.66 ( ( mem @ V0t @ bool )
% 5.44/5.66 => ( ( ( p @ V0t )
% 5.44/5.66 => $false )
% 5.44/5.66 => ~ ( p @ V0t ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2EF__IMP,axiom,
% 5.44/5.66 ! [V0t: $i] :
% 5.44/5.66 ( ( mem @ V0t @ bool )
% 5.44/5.66 => ( ~ ( p @ V0t )
% 5.44/5.66 => ( ( p @ V0t )
% 5.44/5.66 => $false ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2ENOT__F,axiom,
% 5.44/5.66 ! [V0t: $i] :
% 5.44/5.66 ( ( mem @ V0t @ bool )
% 5.44/5.66 => ( ~ ( p @ V0t )
% 5.44/5.66 => ( ( p @ V0t )
% 5.44/5.66 <=> $false ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2ENOT__AND,axiom,
% 5.44/5.66 ! [V0t: $i] :
% 5.44/5.66 ( ( mem @ V0t @ bool )
% 5.44/5.66 => ~ ( ( p @ V0t )
% 5.44/5.66 & ~ ( p @ V0t ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2EAND__CLAUSES,axiom,
% 5.44/5.66 ! [V0t: $i] :
% 5.44/5.66 ( ( mem @ V0t @ bool )
% 5.44/5.66 => ( ( ( $true
% 5.44/5.66 & ( p @ V0t ) )
% 5.44/5.66 <=> ( p @ V0t ) )
% 5.44/5.66 & ( ( ( p @ V0t )
% 5.44/5.66 & $true )
% 5.44/5.66 <=> ( p @ V0t ) )
% 5.44/5.66 & ( ( $false
% 5.44/5.66 & ( p @ V0t ) )
% 5.44/5.66 <=> $false )
% 5.44/5.66 & ( ( ( p @ V0t )
% 5.44/5.66 & $false )
% 5.44/5.66 <=> $false )
% 5.44/5.66 & ( ( ( p @ V0t )
% 5.44/5.66 & ( p @ V0t ) )
% 5.44/5.66 <=> ( p @ V0t ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2EOR__CLAUSES,axiom,
% 5.44/5.66 ! [V0t: $i] :
% 5.44/5.66 ( ( mem @ V0t @ bool )
% 5.44/5.66 => ( ( ( $true
% 5.44/5.66 | ( p @ V0t ) )
% 5.44/5.66 <=> $true )
% 5.44/5.66 & ( ( ( p @ V0t )
% 5.44/5.66 | $true )
% 5.44/5.66 <=> $true )
% 5.44/5.66 & ( ( $false
% 5.44/5.66 | ( p @ V0t ) )
% 5.44/5.66 <=> ( p @ V0t ) )
% 5.44/5.66 & ( ( ( p @ V0t )
% 5.44/5.66 | $false )
% 5.44/5.66 <=> ( p @ V0t ) )
% 5.44/5.66 & ( ( ( p @ V0t )
% 5.44/5.66 | ( p @ V0t ) )
% 5.44/5.66 <=> ( p @ V0t ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2EIMP__CLAUSES,axiom,
% 5.44/5.66 ! [V0t: $i] :
% 5.44/5.66 ( ( mem @ V0t @ bool )
% 5.44/5.66 => ( ( ( $true
% 5.44/5.66 => ( p @ V0t ) )
% 5.44/5.66 <=> ( p @ V0t ) )
% 5.44/5.66 & ( ( ( p @ V0t )
% 5.44/5.66 => $true )
% 5.44/5.66 <=> $true )
% 5.44/5.66 & ( ( $false
% 5.44/5.66 => ( p @ V0t ) )
% 5.44/5.66 <=> $true )
% 5.44/5.66 & ( ( ( p @ V0t )
% 5.44/5.66 => ( p @ V0t ) )
% 5.44/5.66 <=> $true )
% 5.44/5.66 & ( ( ( p @ V0t )
% 5.44/5.66 => $false )
% 5.44/5.66 <=> ~ ( p @ V0t ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2ENOT__CLAUSES,axiom,
% 5.44/5.66 ( ! [V0t: $i] :
% 5.44/5.66 ( ( mem @ V0t @ bool )
% 5.44/5.66 => ( ~ ~ ( p @ V0t )
% 5.44/5.66 <=> ( p @ V0t ) ) )
% 5.44/5.66 & ( ~ $true
% 5.44/5.66 <=> $false )
% 5.44/5.66 & ( ~ $false
% 5.44/5.66 <=> $true ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2EEQ__REFL,axiom,
% 5.44/5.66 ! [A_27a: del,V0x: $i] :
% 5.44/5.66 ( ( mem @ V0x @ A_27a )
% 5.44/5.66 => ( V0x = V0x ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2EREFL__CLAUSE,axiom,
% 5.44/5.66 ! [A_27a: del,V0x: $i] :
% 5.44/5.66 ( ( mem @ V0x @ A_27a )
% 5.44/5.66 => ( ( V0x = V0x )
% 5.44/5.66 <=> $true ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2EEQ__SYM,axiom,
% 5.44/5.66 ! [A_27a: del,V0x: $i] :
% 5.44/5.66 ( ( mem @ V0x @ A_27a )
% 5.44/5.66 => ! [V1y: $i] :
% 5.44/5.66 ( ( mem @ V1y @ A_27a )
% 5.44/5.66 => ( ( V0x = V1y )
% 5.44/5.66 => ( V1y = V0x ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2EEQ__SYM__EQ,axiom,
% 5.44/5.66 ! [A_27a: del,V0x: $i] :
% 5.44/5.66 ( ( mem @ V0x @ A_27a )
% 5.44/5.66 => ! [V1y: $i] :
% 5.44/5.66 ( ( mem @ V1y @ A_27a )
% 5.44/5.66 => ( ( V0x = V1y )
% 5.44/5.66 <=> ( V1y = V0x ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2EEQ__EXT,axiom,
% 5.44/5.66 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.66 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.66 => ! [V1g: $i] :
% 5.44/5.66 ( ( mem @ V1g @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.66 => ( ! [V2x: $i] :
% 5.44/5.66 ( ( mem @ V2x @ A_27a )
% 5.44/5.66 => ( ( ap @ V0f @ V2x )
% 5.44/5.66 = ( ap @ V1g @ V2x ) ) )
% 5.44/5.66 => ( V0f = V1g ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2EFUN__EQ__THM,axiom,
% 5.44/5.66 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.66 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.66 => ! [V1g: $i] :
% 5.44/5.66 ( ( mem @ V1g @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.66 => ( ( V0f = V1g )
% 5.44/5.66 <=> ! [V2x: $i] :
% 5.44/5.66 ( ( mem @ V2x @ A_27a )
% 5.44/5.66 => ( ( ap @ V0f @ V2x )
% 5.44/5.66 = ( ap @ V1g @ V2x ) ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2EEQ__TRANS,axiom,
% 5.44/5.66 ! [A_27a: del,V0x: $i] :
% 5.44/5.66 ( ( mem @ V0x @ A_27a )
% 5.44/5.66 => ! [V1y: $i] :
% 5.44/5.66 ( ( mem @ V1y @ A_27a )
% 5.44/5.66 => ! [V2z: $i] :
% 5.44/5.66 ( ( mem @ V2z @ A_27a )
% 5.44/5.66 => ( ( ( V0x = V1y )
% 5.44/5.66 & ( V1y = V2z ) )
% 5.44/5.66 => ( V0x = V2z ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2EBOOL__EQ__DISTINCT,axiom,
% 5.44/5.66 ( ~ ( $true
% 5.44/5.66 <=> $false )
% 5.44/5.66 & ~ ( $false
% 5.44/5.66 <=> $true ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2EEQ__CLAUSES,axiom,
% 5.44/5.66 ! [V0t: $i] :
% 5.44/5.66 ( ( mem @ V0t @ bool )
% 5.44/5.66 => ( ( ( $true
% 5.44/5.66 <=> ( p @ V0t ) )
% 5.44/5.66 <=> ( p @ V0t ) )
% 5.44/5.66 & ( ( ( p @ V0t )
% 5.44/5.66 <=> $true )
% 5.44/5.66 <=> ( p @ V0t ) )
% 5.44/5.66 & ( ( $false
% 5.44/5.66 <=> ( p @ V0t ) )
% 5.44/5.66 <=> ~ ( p @ V0t ) )
% 5.44/5.66 & ( ( ( p @ V0t )
% 5.44/5.66 <=> $false )
% 5.44/5.66 <=> ~ ( p @ V0t ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2ECOND__CLAUSES,axiom,
% 5.44/5.66 ! [A_27a: del,V0t1: $i] :
% 5.44/5.66 ( ( mem @ V0t1 @ A_27a )
% 5.44/5.66 => ! [V1t2: $i] :
% 5.44/5.66 ( ( mem @ V1t2 @ A_27a )
% 5.44/5.66 => ( ( ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ A_27a ) @ c_2Ebool_2ET ) @ V0t1 ) @ V1t2 )
% 5.44/5.66 = V0t1 )
% 5.44/5.66 & ( ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ A_27a ) @ c_2Ebool_2EF ) @ V0t1 ) @ V1t2 )
% 5.44/5.66 = V1t2 ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2ECOND__ID,axiom,
% 5.44/5.66 ! [A_27a: del,V0b: $i] :
% 5.44/5.66 ( ( mem @ V0b @ bool )
% 5.44/5.66 => ! [V1t: $i] :
% 5.44/5.66 ( ( mem @ V1t @ A_27a )
% 5.44/5.66 => ( ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ A_27a ) @ V0b ) @ V1t ) @ V1t )
% 5.44/5.66 = V1t ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2ESELECT__THM,axiom,
% 5.44/5.66 ! [A_27a: del,V0P: $i] :
% 5.44/5.66 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.44/5.66 => ( ( p
% 5.44/5.66 @ ( ap @ V0P
% 5.44/5.66 @ ( ap @ ( c_2Emin_2E_40 @ A_27a )
% 5.44/5.66 @ ( lam @ A_27a
% 5.44/5.66 @ ^ [V1x: $i] : ( ap @ V0P @ V1x ) ) ) ) )
% 5.44/5.66 <=> ? [V2x: $i] :
% 5.44/5.66 ( ( mem @ V2x @ A_27a )
% 5.44/5.66 & ( p @ ( ap @ V0P @ V2x ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2ESELECT__REFL,axiom,
% 5.44/5.66 ! [A_27a: del,V0x: $i] :
% 5.44/5.66 ( ( mem @ V0x @ A_27a )
% 5.44/5.66 => ( ( ap @ ( c_2Emin_2E_40 @ A_27a )
% 5.44/5.66 @ ( lam @ A_27a
% 5.44/5.66 @ ^ [V1y: $i] : ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V1y ) @ V0x ) ) )
% 5.44/5.66 = V0x ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2ESELECT__REFL__2,axiom,
% 5.44/5.66 ! [A_27a: del,V0x: $i] :
% 5.44/5.66 ( ( mem @ V0x @ A_27a )
% 5.44/5.66 => ( ( ap @ ( c_2Emin_2E_40 @ A_27a )
% 5.44/5.66 @ ( lam @ A_27a
% 5.44/5.66 @ ^ [V1y: $i] : ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V0x ) @ V1y ) ) )
% 5.44/5.66 = V0x ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2ESELECT__UNIQUE,axiom,
% 5.44/5.66 ! [A_27a: del,V0P: $i] :
% 5.44/5.66 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.44/5.66 => ! [V1x: $i] :
% 5.44/5.66 ( ( mem @ V1x @ A_27a )
% 5.44/5.66 => ( ! [V2y: $i] :
% 5.44/5.66 ( ( mem @ V2y @ A_27a )
% 5.44/5.66 => ( ( p @ ( ap @ V0P @ V2y ) )
% 5.44/5.66 <=> ( V2y = V1x ) ) )
% 5.44/5.66 => ( ( ap @ ( c_2Emin_2E_40 @ A_27a ) @ V0P )
% 5.44/5.66 = V1x ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2ESELECT__ELIM__THM,axiom,
% 5.44/5.66 ! [A_27a: del,V0P: $i] :
% 5.44/5.66 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.44/5.66 => ! [V1Q: $i] :
% 5.44/5.66 ( ( mem @ V1Q @ ( arr @ A_27a @ bool ) )
% 5.44/5.66 => ( ( ? [V2x: $i] :
% 5.44/5.66 ( ( mem @ V2x @ A_27a )
% 5.44/5.66 & ( p @ ( ap @ V0P @ V2x ) ) )
% 5.44/5.66 & ! [V3x: $i] :
% 5.44/5.66 ( ( mem @ V3x @ A_27a )
% 5.44/5.66 => ( ( p @ ( ap @ V0P @ V3x ) )
% 5.44/5.66 => ( p @ ( ap @ V1Q @ V3x ) ) ) ) )
% 5.44/5.66 => ( p @ ( ap @ V1Q @ ( ap @ ( c_2Emin_2E_40 @ A_27a ) @ V0P ) ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2ENOT__FORALL__THM,axiom,
% 5.44/5.66 ! [A_27a: del,V0P: $i] :
% 5.44/5.66 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.44/5.66 => ( ~ ! [V1x: $i] :
% 5.44/5.66 ( ( mem @ V1x @ A_27a )
% 5.44/5.66 => ( p @ ( ap @ V0P @ V1x ) ) )
% 5.44/5.66 <=> ? [V2x: $i] :
% 5.44/5.66 ( ( mem @ V2x @ A_27a )
% 5.44/5.66 & ~ ( p @ ( ap @ V0P @ V2x ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2ENOT__EXISTS__THM,axiom,
% 5.44/5.66 ! [A_27a: del,V0P: $i] :
% 5.44/5.66 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.44/5.66 => ( ~ ? [V1x: $i] :
% 5.44/5.66 ( ( mem @ V1x @ A_27a )
% 5.44/5.66 & ( p @ ( ap @ V0P @ V1x ) ) )
% 5.44/5.66 <=> ! [V2x: $i] :
% 5.44/5.66 ( ( mem @ V2x @ A_27a )
% 5.44/5.66 => ~ ( p @ ( ap @ V0P @ V2x ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2EFORALL__AND__THM,axiom,
% 5.44/5.66 ! [A_27a: del,V0P: $i] :
% 5.44/5.66 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.44/5.66 => ! [V1Q: $i] :
% 5.44/5.66 ( ( mem @ V1Q @ ( arr @ A_27a @ bool ) )
% 5.44/5.66 => ( ! [V2x: $i] :
% 5.44/5.66 ( ( mem @ V2x @ A_27a )
% 5.44/5.66 => ( ( p @ ( ap @ V0P @ V2x ) )
% 5.44/5.66 & ( p @ ( ap @ V1Q @ V2x ) ) ) )
% 5.44/5.66 <=> ( ! [V3x: $i] :
% 5.44/5.66 ( ( mem @ V3x @ A_27a )
% 5.44/5.66 => ( p @ ( ap @ V0P @ V3x ) ) )
% 5.44/5.66 & ! [V4x: $i] :
% 5.44/5.66 ( ( mem @ V4x @ A_27a )
% 5.44/5.66 => ( p @ ( ap @ V1Q @ V4x ) ) ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2ELEFT__AND__FORALL__THM,axiom,
% 5.44/5.66 ! [A_27a: del,V0P: $i] :
% 5.44/5.66 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.44/5.66 => ! [V1Q: $i] :
% 5.44/5.66 ( ( mem @ V1Q @ bool )
% 5.44/5.66 => ( ( ! [V2x: $i] :
% 5.44/5.66 ( ( mem @ V2x @ A_27a )
% 5.44/5.66 => ( p @ ( ap @ V0P @ V2x ) ) )
% 5.44/5.66 & ( p @ V1Q ) )
% 5.44/5.66 <=> ! [V3x: $i] :
% 5.44/5.66 ( ( mem @ V3x @ A_27a )
% 5.44/5.66 => ( ( p @ ( ap @ V0P @ V3x ) )
% 5.44/5.66 & ( p @ V1Q ) ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2ERIGHT__AND__FORALL__THM,axiom,
% 5.44/5.66 ! [A_27a: del,V0P: $i] :
% 5.44/5.66 ( ( mem @ V0P @ bool )
% 5.44/5.66 => ! [V1Q: $i] :
% 5.44/5.66 ( ( mem @ V1Q @ ( arr @ A_27a @ bool ) )
% 5.44/5.66 => ( ( ( p @ V0P )
% 5.44/5.66 & ! [V2x: $i] :
% 5.44/5.66 ( ( mem @ V2x @ A_27a )
% 5.44/5.66 => ( p @ ( ap @ V1Q @ V2x ) ) ) )
% 5.44/5.66 <=> ! [V3x: $i] :
% 5.44/5.66 ( ( mem @ V3x @ A_27a )
% 5.44/5.66 => ( ( p @ V0P )
% 5.44/5.66 & ( p @ ( ap @ V1Q @ V3x ) ) ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2EEXISTS__OR__THM,axiom,
% 5.44/5.66 ! [A_27a: del,V0P: $i] :
% 5.44/5.66 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.44/5.66 => ! [V1Q: $i] :
% 5.44/5.66 ( ( mem @ V1Q @ ( arr @ A_27a @ bool ) )
% 5.44/5.66 => ( ? [V2x: $i] :
% 5.44/5.66 ( ( mem @ V2x @ A_27a )
% 5.44/5.66 & ( ( p @ ( ap @ V0P @ V2x ) )
% 5.44/5.66 | ( p @ ( ap @ V1Q @ V2x ) ) ) )
% 5.44/5.66 <=> ( ? [V3x: $i] :
% 5.44/5.66 ( ( mem @ V3x @ A_27a )
% 5.44/5.66 & ( p @ ( ap @ V0P @ V3x ) ) )
% 5.44/5.66 | ? [V4x: $i] :
% 5.44/5.66 ( ( mem @ V4x @ A_27a )
% 5.44/5.66 & ( p @ ( ap @ V1Q @ V4x ) ) ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2ELEFT__OR__EXISTS__THM,axiom,
% 5.44/5.66 ! [A_27a: del,V0P: $i] :
% 5.44/5.66 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.44/5.66 => ! [V1Q: $i] :
% 5.44/5.66 ( ( mem @ V1Q @ bool )
% 5.44/5.66 => ( ( ? [V2x: $i] :
% 5.44/5.66 ( ( mem @ V2x @ A_27a )
% 5.44/5.66 & ( p @ ( ap @ V0P @ V2x ) ) )
% 5.44/5.66 | ( p @ V1Q ) )
% 5.44/5.66 <=> ? [V3x: $i] :
% 5.44/5.66 ( ( mem @ V3x @ A_27a )
% 5.44/5.66 & ( ( p @ ( ap @ V0P @ V3x ) )
% 5.44/5.66 | ( p @ V1Q ) ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2ERIGHT__OR__EXISTS__THM,axiom,
% 5.44/5.66 ! [A_27a: del,V0P: $i] :
% 5.44/5.66 ( ( mem @ V0P @ bool )
% 5.44/5.66 => ! [V1Q: $i] :
% 5.44/5.66 ( ( mem @ V1Q @ ( arr @ A_27a @ bool ) )
% 5.44/5.66 => ( ( ( p @ V0P )
% 5.44/5.66 | ? [V2x: $i] :
% 5.44/5.66 ( ( mem @ V2x @ A_27a )
% 5.44/5.66 & ( p @ ( ap @ V1Q @ V2x ) ) ) )
% 5.44/5.66 <=> ? [V3x: $i] :
% 5.44/5.66 ( ( mem @ V3x @ A_27a )
% 5.44/5.66 & ( ( p @ V0P )
% 5.44/5.66 | ( p @ ( ap @ V1Q @ V3x ) ) ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2EBOTH__EXISTS__AND__THM,axiom,
% 5.44/5.66 ! [A_27a: del,V0P: $i] :
% 5.44/5.66 ( ( mem @ V0P @ bool )
% 5.44/5.66 => ! [V1Q: $i] :
% 5.44/5.66 ( ( mem @ V1Q @ bool )
% 5.44/5.66 => ( ? [V2x: $i] :
% 5.44/5.66 ( ( mem @ V2x @ A_27a )
% 5.44/5.66 & ( p @ V0P )
% 5.44/5.66 & ( p @ V1Q ) )
% 5.44/5.66 <=> ( ? [V3x: $i] :
% 5.44/5.66 ( ( mem @ V3x @ A_27a )
% 5.44/5.66 & ( p @ V0P ) )
% 5.44/5.66 & ? [V4x: $i] :
% 5.44/5.66 ( ( mem @ V4x @ A_27a )
% 5.44/5.66 & ( p @ V1Q ) ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2ELEFT__EXISTS__AND__THM,axiom,
% 5.44/5.66 ! [A_27a: del,V0P: $i] :
% 5.44/5.66 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.44/5.66 => ! [V1Q: $i] :
% 5.44/5.66 ( ( mem @ V1Q @ bool )
% 5.44/5.66 => ( ? [V2x: $i] :
% 5.44/5.66 ( ( mem @ V2x @ A_27a )
% 5.44/5.66 & ( p @ ( ap @ V0P @ V2x ) )
% 5.44/5.66 & ( p @ V1Q ) )
% 5.44/5.66 <=> ( ? [V3x: $i] :
% 5.44/5.66 ( ( mem @ V3x @ A_27a )
% 5.44/5.66 & ( p @ ( ap @ V0P @ V3x ) ) )
% 5.44/5.66 & ( p @ V1Q ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2ERIGHT__EXISTS__AND__THM,axiom,
% 5.44/5.66 ! [A_27a: del,V0P: $i] :
% 5.44/5.66 ( ( mem @ V0P @ bool )
% 5.44/5.66 => ! [V1Q: $i] :
% 5.44/5.66 ( ( mem @ V1Q @ ( arr @ A_27a @ bool ) )
% 5.44/5.66 => ( ? [V2x: $i] :
% 5.44/5.66 ( ( mem @ V2x @ A_27a )
% 5.44/5.66 & ( p @ V0P )
% 5.44/5.66 & ( p @ ( ap @ V1Q @ V2x ) ) )
% 5.44/5.66 <=> ( ( p @ V0P )
% 5.44/5.66 & ? [V3x: $i] :
% 5.44/5.66 ( ( mem @ V3x @ A_27a )
% 5.44/5.66 & ( p @ ( ap @ V1Q @ V3x ) ) ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2EBOTH__FORALL__OR__THM,axiom,
% 5.44/5.66 ! [A_27a: del,V0P: $i] :
% 5.44/5.66 ( ( mem @ V0P @ bool )
% 5.44/5.66 => ! [V1Q: $i] :
% 5.44/5.66 ( ( mem @ V1Q @ bool )
% 5.44/5.66 => ( ! [V2x: $i] :
% 5.44/5.66 ( ( mem @ V2x @ A_27a )
% 5.44/5.66 => ( ( p @ V0P )
% 5.44/5.66 | ( p @ V1Q ) ) )
% 5.44/5.66 <=> ( ! [V3x: $i] :
% 5.44/5.66 ( ( mem @ V3x @ A_27a )
% 5.44/5.66 => ( p @ V0P ) )
% 5.44/5.66 | ! [V4x: $i] :
% 5.44/5.66 ( ( mem @ V4x @ A_27a )
% 5.44/5.66 => ( p @ V1Q ) ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2ELEFT__FORALL__OR__THM,axiom,
% 5.44/5.66 ! [A_27a: del,V0Q: $i] :
% 5.44/5.66 ( ( mem @ V0Q @ bool )
% 5.44/5.66 => ! [V1P: $i] :
% 5.44/5.66 ( ( mem @ V1P @ ( arr @ A_27a @ bool ) )
% 5.44/5.66 => ( ! [V2x: $i] :
% 5.44/5.66 ( ( mem @ V2x @ A_27a )
% 5.44/5.66 => ( ( p @ ( ap @ V1P @ V2x ) )
% 5.44/5.66 | ( p @ V0Q ) ) )
% 5.44/5.66 <=> ( ! [V3x: $i] :
% 5.44/5.66 ( ( mem @ V3x @ A_27a )
% 5.44/5.66 => ( p @ ( ap @ V1P @ V3x ) ) )
% 5.44/5.66 | ( p @ V0Q ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2ERIGHT__FORALL__OR__THM,axiom,
% 5.44/5.66 ! [A_27a: del,V0P: $i] :
% 5.44/5.66 ( ( mem @ V0P @ bool )
% 5.44/5.66 => ! [V1Q: $i] :
% 5.44/5.66 ( ( mem @ V1Q @ ( arr @ A_27a @ bool ) )
% 5.44/5.66 => ( ! [V2x: $i] :
% 5.44/5.66 ( ( mem @ V2x @ A_27a )
% 5.44/5.66 => ( ( p @ V0P )
% 5.44/5.66 | ( p @ ( ap @ V1Q @ V2x ) ) ) )
% 5.44/5.66 <=> ( ( p @ V0P )
% 5.44/5.66 | ! [V3x: $i] :
% 5.44/5.66 ( ( mem @ V3x @ A_27a )
% 5.44/5.66 => ( p @ ( ap @ V1Q @ V3x ) ) ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2EBOTH__FORALL__IMP__THM,axiom,
% 5.44/5.66 ! [A_27a: del,V0P: $i] :
% 5.44/5.66 ( ( mem @ V0P @ bool )
% 5.44/5.66 => ! [V1Q: $i] :
% 5.44/5.66 ( ( mem @ V1Q @ bool )
% 5.44/5.66 => ( ! [V2x: $i] :
% 5.44/5.66 ( ( mem @ V2x @ A_27a )
% 5.44/5.66 => ( ( p @ V0P )
% 5.44/5.66 => ( p @ V1Q ) ) )
% 5.44/5.66 <=> ( ? [V3x: $i] :
% 5.44/5.66 ( ( mem @ V3x @ A_27a )
% 5.44/5.66 & ( p @ V0P ) )
% 5.44/5.66 => ! [V4x: $i] :
% 5.44/5.66 ( ( mem @ V4x @ A_27a )
% 5.44/5.66 => ( p @ V1Q ) ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2ELEFT__FORALL__IMP__THM,axiom,
% 5.44/5.66 ! [A_27a: del,V0P: $i] :
% 5.44/5.66 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.44/5.66 => ! [V1Q: $i] :
% 5.44/5.66 ( ( mem @ V1Q @ bool )
% 5.44/5.66 => ( ! [V2x: $i] :
% 5.44/5.66 ( ( mem @ V2x @ A_27a )
% 5.44/5.66 => ( ( p @ ( ap @ V0P @ V2x ) )
% 5.44/5.66 => ( p @ V1Q ) ) )
% 5.44/5.66 <=> ( ? [V3x: $i] :
% 5.44/5.66 ( ( mem @ V3x @ A_27a )
% 5.44/5.66 & ( p @ ( ap @ V0P @ V3x ) ) )
% 5.44/5.66 => ( p @ V1Q ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2ERIGHT__FORALL__IMP__THM,axiom,
% 5.44/5.66 ! [A_27a: del,V0P: $i] :
% 5.44/5.66 ( ( mem @ V0P @ bool )
% 5.44/5.66 => ! [V1Q: $i] :
% 5.44/5.66 ( ( mem @ V1Q @ ( arr @ A_27a @ bool ) )
% 5.44/5.66 => ( ! [V2x: $i] :
% 5.44/5.66 ( ( mem @ V2x @ A_27a )
% 5.44/5.66 => ( ( p @ V0P )
% 5.44/5.66 => ( p @ ( ap @ V1Q @ V2x ) ) ) )
% 5.44/5.66 <=> ( ( p @ V0P )
% 5.44/5.66 => ! [V3x: $i] :
% 5.44/5.66 ( ( mem @ V3x @ A_27a )
% 5.44/5.66 => ( p @ ( ap @ V1Q @ V3x ) ) ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2EBOTH__EXISTS__IMP__THM,axiom,
% 5.44/5.66 ! [A_27a: del,V0P: $i] :
% 5.44/5.66 ( ( mem @ V0P @ bool )
% 5.44/5.66 => ! [V1Q: $i] :
% 5.44/5.66 ( ( mem @ V1Q @ bool )
% 5.44/5.66 => ( ? [V2x: $i] :
% 5.44/5.66 ( ( mem @ V2x @ A_27a )
% 5.44/5.66 & ( ( p @ V0P )
% 5.44/5.66 => ( p @ V1Q ) ) )
% 5.44/5.66 <=> ( ! [V3x: $i] :
% 5.44/5.66 ( ( mem @ V3x @ A_27a )
% 5.44/5.66 => ( p @ V0P ) )
% 5.44/5.66 => ? [V4x: $i] :
% 5.44/5.66 ( ( mem @ V4x @ A_27a )
% 5.44/5.66 & ( p @ V1Q ) ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2ELEFT__EXISTS__IMP__THM,axiom,
% 5.44/5.66 ! [A_27a: del,V0P: $i] :
% 5.44/5.66 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.44/5.66 => ! [V1Q: $i] :
% 5.44/5.66 ( ( mem @ V1Q @ bool )
% 5.44/5.66 => ( ? [V2x: $i] :
% 5.44/5.66 ( ( mem @ V2x @ A_27a )
% 5.44/5.66 & ( ( p @ ( ap @ V0P @ V2x ) )
% 5.44/5.66 => ( p @ V1Q ) ) )
% 5.44/5.66 <=> ( ! [V3x: $i] :
% 5.44/5.66 ( ( mem @ V3x @ A_27a )
% 5.44/5.66 => ( p @ ( ap @ V0P @ V3x ) ) )
% 5.44/5.66 => ( p @ V1Q ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2ERIGHT__EXISTS__IMP__THM,axiom,
% 5.44/5.66 ! [A_27a: del,V0P: $i] :
% 5.44/5.66 ( ( mem @ V0P @ bool )
% 5.44/5.66 => ! [V1Q: $i] :
% 5.44/5.66 ( ( mem @ V1Q @ ( arr @ A_27a @ bool ) )
% 5.44/5.66 => ( ? [V2x: $i] :
% 5.44/5.66 ( ( mem @ V2x @ A_27a )
% 5.44/5.66 & ( ( p @ V0P )
% 5.44/5.66 => ( p @ ( ap @ V1Q @ V2x ) ) ) )
% 5.44/5.66 <=> ( ( p @ V0P )
% 5.44/5.66 => ? [V3x: $i] :
% 5.44/5.66 ( ( mem @ V3x @ A_27a )
% 5.44/5.66 & ( p @ ( ap @ V1Q @ V3x ) ) ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2EOR__IMP__THM,axiom,
% 5.44/5.66 ! [V0A: $i] :
% 5.44/5.66 ( ( mem @ V0A @ bool )
% 5.44/5.66 => ! [V1B: $i] :
% 5.44/5.66 ( ( mem @ V1B @ bool )
% 5.44/5.66 => ( ( ( p @ V0A )
% 5.44/5.66 <=> ( ( p @ V1B )
% 5.44/5.66 | ( p @ V0A ) ) )
% 5.44/5.66 <=> ( ( p @ V1B )
% 5.44/5.66 => ( p @ V0A ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2ENOT__IMP,axiom,
% 5.44/5.66 ! [V0A: $i] :
% 5.44/5.66 ( ( mem @ V0A @ bool )
% 5.44/5.66 => ! [V1B: $i] :
% 5.44/5.66 ( ( mem @ V1B @ bool )
% 5.44/5.66 => ( ~ ( ( p @ V0A )
% 5.44/5.66 => ( p @ V1B ) )
% 5.44/5.66 <=> ( ( p @ V0A )
% 5.44/5.66 & ~ ( p @ V1B ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2EDISJ__ASSOC,axiom,
% 5.44/5.66 ! [V0A: $i] :
% 5.44/5.66 ( ( mem @ V0A @ bool )
% 5.44/5.66 => ! [V1B: $i] :
% 5.44/5.66 ( ( mem @ V1B @ bool )
% 5.44/5.66 => ! [V2C: $i] :
% 5.44/5.66 ( ( mem @ V2C @ bool )
% 5.44/5.66 => ( ( ( p @ V0A )
% 5.44/5.66 | ( p @ V1B )
% 5.44/5.66 | ( p @ V2C ) )
% 5.44/5.66 <=> ( ( p @ V0A )
% 5.44/5.66 | ( p @ V1B )
% 5.44/5.66 | ( p @ V2C ) ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2EDISJ__SYM,axiom,
% 5.44/5.66 ! [V0A: $i] :
% 5.44/5.66 ( ( mem @ V0A @ bool )
% 5.44/5.66 => ! [V1B: $i] :
% 5.44/5.66 ( ( mem @ V1B @ bool )
% 5.44/5.66 => ( ( ( p @ V0A )
% 5.44/5.66 | ( p @ V1B ) )
% 5.44/5.66 <=> ( ( p @ V1B )
% 5.44/5.66 | ( p @ V0A ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2EDISJ__COMM,axiom,
% 5.44/5.66 ! [V0A: $i] :
% 5.44/5.66 ( ( mem @ V0A @ bool )
% 5.44/5.66 => ! [V1B: $i] :
% 5.44/5.66 ( ( mem @ V1B @ bool )
% 5.44/5.66 => ( ( ( p @ V0A )
% 5.44/5.66 | ( p @ V1B ) )
% 5.44/5.66 <=> ( ( p @ V1B )
% 5.44/5.66 | ( p @ V0A ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2EDE__MORGAN__THM,axiom,
% 5.44/5.66 ! [V0A: $i] :
% 5.44/5.66 ( ( mem @ V0A @ bool )
% 5.44/5.66 => ! [V1B: $i] :
% 5.44/5.66 ( ( mem @ V1B @ bool )
% 5.44/5.66 => ( ( ~ ( ( p @ V0A )
% 5.44/5.66 & ( p @ V1B ) )
% 5.44/5.66 <=> ( ~ ( p @ V0A )
% 5.44/5.66 | ~ ( p @ V1B ) ) )
% 5.44/5.66 & ( ~ ( ( p @ V0A )
% 5.44/5.66 | ( p @ V1B ) )
% 5.44/5.66 <=> ( ~ ( p @ V0A )
% 5.44/5.66 & ~ ( p @ V1B ) ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2ELEFT__AND__OVER__OR,axiom,
% 5.44/5.66 ! [V0A: $i] :
% 5.44/5.66 ( ( mem @ V0A @ bool )
% 5.44/5.66 => ! [V1B: $i] :
% 5.44/5.66 ( ( mem @ V1B @ bool )
% 5.44/5.66 => ! [V2C: $i] :
% 5.44/5.66 ( ( mem @ V2C @ bool )
% 5.44/5.66 => ( ( ( p @ V0A )
% 5.44/5.66 & ( ( p @ V1B )
% 5.44/5.66 | ( p @ V2C ) ) )
% 5.44/5.66 <=> ( ( ( p @ V0A )
% 5.44/5.66 & ( p @ V1B ) )
% 5.44/5.66 | ( ( p @ V0A )
% 5.44/5.66 & ( p @ V2C ) ) ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2ERIGHT__AND__OVER__OR,axiom,
% 5.44/5.66 ! [V0A: $i] :
% 5.44/5.66 ( ( mem @ V0A @ bool )
% 5.44/5.66 => ! [V1B: $i] :
% 5.44/5.66 ( ( mem @ V1B @ bool )
% 5.44/5.66 => ! [V2C: $i] :
% 5.44/5.66 ( ( mem @ V2C @ bool )
% 5.44/5.66 => ( ( ( ( p @ V1B )
% 5.44/5.66 | ( p @ V2C ) )
% 5.44/5.66 & ( p @ V0A ) )
% 5.44/5.66 <=> ( ( ( p @ V1B )
% 5.44/5.66 & ( p @ V0A ) )
% 5.44/5.66 | ( ( p @ V2C )
% 5.44/5.66 & ( p @ V0A ) ) ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2ELEFT__OR__OVER__AND,axiom,
% 5.44/5.66 ! [V0A: $i] :
% 5.44/5.66 ( ( mem @ V0A @ bool )
% 5.44/5.66 => ! [V1B: $i] :
% 5.44/5.66 ( ( mem @ V1B @ bool )
% 5.44/5.66 => ! [V2C: $i] :
% 5.44/5.66 ( ( mem @ V2C @ bool )
% 5.44/5.66 => ( ( ( p @ V0A )
% 5.44/5.66 | ( ( p @ V1B )
% 5.44/5.66 & ( p @ V2C ) ) )
% 5.44/5.66 <=> ( ( ( p @ V0A )
% 5.44/5.66 | ( p @ V1B ) )
% 5.44/5.66 & ( ( p @ V0A )
% 5.44/5.66 | ( p @ V2C ) ) ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2ERIGHT__OR__OVER__AND,axiom,
% 5.44/5.66 ! [V0A: $i] :
% 5.44/5.66 ( ( mem @ V0A @ bool )
% 5.44/5.66 => ! [V1B: $i] :
% 5.44/5.66 ( ( mem @ V1B @ bool )
% 5.44/5.66 => ! [V2C: $i] :
% 5.44/5.66 ( ( mem @ V2C @ bool )
% 5.44/5.66 => ( ( ( ( p @ V1B )
% 5.44/5.66 & ( p @ V2C ) )
% 5.44/5.66 | ( p @ V0A ) )
% 5.44/5.66 <=> ( ( ( p @ V1B )
% 5.44/5.66 | ( p @ V0A ) )
% 5.44/5.66 & ( ( p @ V2C )
% 5.44/5.66 | ( p @ V0A ) ) ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2EIMP__DISJ__THM,axiom,
% 5.44/5.66 ! [V0A: $i] :
% 5.44/5.66 ( ( mem @ V0A @ bool )
% 5.44/5.66 => ! [V1B: $i] :
% 5.44/5.66 ( ( mem @ V1B @ bool )
% 5.44/5.66 => ( ( ( p @ V0A )
% 5.44/5.66 => ( p @ V1B ) )
% 5.44/5.66 <=> ( ~ ( p @ V0A )
% 5.44/5.66 | ( p @ V1B ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2EDISJ__IMP__THM,axiom,
% 5.44/5.66 ! [V0P: $i] :
% 5.44/5.66 ( ( mem @ V0P @ bool )
% 5.44/5.66 => ! [V1Q: $i] :
% 5.44/5.66 ( ( mem @ V1Q @ bool )
% 5.44/5.66 => ! [V2R: $i] :
% 5.44/5.66 ( ( mem @ V2R @ bool )
% 5.44/5.66 => ( ( ( ( p @ V0P )
% 5.44/5.66 | ( p @ V1Q ) )
% 5.44/5.66 => ( p @ V2R ) )
% 5.44/5.66 <=> ( ( ( p @ V0P )
% 5.44/5.66 => ( p @ V2R ) )
% 5.44/5.66 & ( ( p @ V1Q )
% 5.44/5.66 => ( p @ V2R ) ) ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2EIMP__CONJ__THM,axiom,
% 5.44/5.66 ! [V0P: $i] :
% 5.44/5.66 ( ( mem @ V0P @ bool )
% 5.44/5.66 => ! [V1Q: $i] :
% 5.44/5.66 ( ( mem @ V1Q @ bool )
% 5.44/5.66 => ! [V2R: $i] :
% 5.44/5.66 ( ( mem @ V2R @ bool )
% 5.44/5.66 => ( ( ( p @ V0P )
% 5.44/5.66 => ( ( p @ V1Q )
% 5.44/5.66 & ( p @ V2R ) ) )
% 5.44/5.66 <=> ( ( ( p @ V0P )
% 5.44/5.66 => ( p @ V1Q ) )
% 5.44/5.66 & ( ( p @ V0P )
% 5.44/5.66 => ( p @ V2R ) ) ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2EIMP__F__EQ__F,axiom,
% 5.44/5.66 ! [V0t: $i] :
% 5.44/5.66 ( ( mem @ V0t @ bool )
% 5.44/5.66 => ( ( ( p @ V0t )
% 5.44/5.66 => $false )
% 5.44/5.66 <=> ( ( p @ V0t )
% 5.44/5.66 <=> $false ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2EAND__IMP__INTRO,axiom,
% 5.44/5.66 ! [V0t1: $i] :
% 5.44/5.66 ( ( mem @ V0t1 @ bool )
% 5.44/5.66 => ! [V1t2: $i] :
% 5.44/5.66 ( ( mem @ V1t2 @ bool )
% 5.44/5.66 => ! [V2t3: $i] :
% 5.44/5.66 ( ( mem @ V2t3 @ bool )
% 5.44/5.66 => ( ( ( p @ V0t1 )
% 5.44/5.66 => ( ( p @ V1t2 )
% 5.44/5.66 => ( p @ V2t3 ) ) )
% 5.44/5.66 <=> ( ( ( p @ V0t1 )
% 5.44/5.66 & ( p @ V1t2 ) )
% 5.44/5.66 => ( p @ V2t3 ) ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2EEQ__IMP__THM,axiom,
% 5.44/5.66 ! [V0t1: $i] :
% 5.44/5.66 ( ( mem @ V0t1 @ bool )
% 5.44/5.66 => ! [V1t2: $i] :
% 5.44/5.66 ( ( mem @ V1t2 @ bool )
% 5.44/5.66 => ( ( ( p @ V0t1 )
% 5.44/5.66 <=> ( p @ V1t2 ) )
% 5.44/5.66 <=> ( ( ( p @ V0t1 )
% 5.44/5.66 => ( p @ V1t2 ) )
% 5.44/5.66 & ( ( p @ V1t2 )
% 5.44/5.66 => ( p @ V0t1 ) ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2EEQ__EXPAND,axiom,
% 5.44/5.66 ! [V0t1: $i] :
% 5.44/5.66 ( ( mem @ V0t1 @ bool )
% 5.44/5.66 => ! [V1t2: $i] :
% 5.44/5.66 ( ( mem @ V1t2 @ bool )
% 5.44/5.66 => ( ( ( p @ V0t1 )
% 5.44/5.66 <=> ( p @ V1t2 ) )
% 5.44/5.66 <=> ( ( ( p @ V0t1 )
% 5.44/5.66 & ( p @ V1t2 ) )
% 5.44/5.66 | ( ~ ( p @ V0t1 )
% 5.44/5.66 & ~ ( p @ V1t2 ) ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2ECOND__RATOR,axiom,
% 5.44/5.66 ! [A_27a: del,A_27b: del,V0b: $i] :
% 5.44/5.66 ( ( mem @ V0b @ bool )
% 5.44/5.66 => ! [V1f: $i] :
% 5.44/5.66 ( ( mem @ V1f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.66 => ! [V2g: $i] :
% 5.44/5.66 ( ( mem @ V2g @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.66 => ! [V3x: $i] :
% 5.44/5.66 ( ( mem @ V3x @ A_27a )
% 5.44/5.66 => ( ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( arr @ A_27a @ A_27b ) ) @ V0b ) @ V1f ) @ V2g ) @ V3x )
% 5.44/5.66 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ A_27b ) @ V0b ) @ ( ap @ V1f @ V3x ) ) @ ( ap @ V2g @ V3x ) ) ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2ECOND__RAND,axiom,
% 5.44/5.66 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.66 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.66 => ! [V1b: $i] :
% 5.44/5.66 ( ( mem @ V1b @ bool )
% 5.44/5.66 => ! [V2x: $i] :
% 5.44/5.66 ( ( mem @ V2x @ A_27a )
% 5.44/5.66 => ! [V3y: $i] :
% 5.44/5.66 ( ( mem @ V3y @ A_27a )
% 5.44/5.66 => ( ( ap @ V0f @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ A_27a ) @ V1b ) @ V2x ) @ V3y ) )
% 5.44/5.66 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ A_27b ) @ V1b ) @ ( ap @ V0f @ V2x ) ) @ ( ap @ V0f @ V3y ) ) ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2ECOND__ABS,axiom,
% 5.44/5.66 ! [A_27a: del,A_27b: del,V0b: $i] :
% 5.44/5.66 ( ( mem @ V0b @ bool )
% 5.44/5.66 => ! [V1f: $i] :
% 5.44/5.66 ( ( mem @ V1f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.66 => ! [V2g: $i] :
% 5.44/5.66 ( ( mem @ V2g @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.66 => ( ( lam @ A_27a
% 5.44/5.66 @ ^ [V3x: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ A_27b ) @ V0b ) @ ( ap @ V1f @ V3x ) ) @ ( ap @ V2g @ V3x ) ) )
% 5.44/5.66 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( arr @ A_27a @ A_27b ) ) @ V0b ) @ V1f ) @ V2g ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2ECOND__EXPAND,axiom,
% 5.44/5.66 ! [V0b: $i] :
% 5.44/5.66 ( ( mem @ V0b @ bool )
% 5.44/5.66 => ! [V1t1: $i] :
% 5.44/5.66 ( ( mem @ V1t1 @ bool )
% 5.44/5.66 => ! [V2t2: $i] :
% 5.44/5.66 ( ( mem @ V2t2 @ bool )
% 5.44/5.66 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ bool ) @ V0b ) @ V1t1 ) @ V2t2 ) )
% 5.44/5.66 <=> ( ( ~ ( p @ V0b )
% 5.44/5.66 | ( p @ V1t1 ) )
% 5.44/5.66 & ( ( p @ V0b )
% 5.44/5.66 | ( p @ V2t2 ) ) ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2ECOND__EXPAND__IMP,axiom,
% 5.44/5.66 ! [V0b: $i] :
% 5.44/5.66 ( ( mem @ V0b @ bool )
% 5.44/5.66 => ! [V1t1: $i] :
% 5.44/5.66 ( ( mem @ V1t1 @ bool )
% 5.44/5.66 => ! [V2t2: $i] :
% 5.44/5.66 ( ( mem @ V2t2 @ bool )
% 5.44/5.66 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ bool ) @ V0b ) @ V1t1 ) @ V2t2 ) )
% 5.44/5.66 <=> ( ( ( p @ V0b )
% 5.44/5.66 => ( p @ V1t1 ) )
% 5.44/5.66 & ( ~ ( p @ V0b )
% 5.44/5.66 => ( p @ V2t2 ) ) ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2ECOND__EXPAND__OR,axiom,
% 5.44/5.66 ! [V0b: $i] :
% 5.44/5.66 ( ( mem @ V0b @ bool )
% 5.44/5.66 => ! [V1t1: $i] :
% 5.44/5.66 ( ( mem @ V1t1 @ bool )
% 5.44/5.66 => ! [V2t2: $i] :
% 5.44/5.66 ( ( mem @ V2t2 @ bool )
% 5.44/5.66 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ bool ) @ V0b ) @ V1t1 ) @ V2t2 ) )
% 5.44/5.66 <=> ( ( ( p @ V0b )
% 5.44/5.66 & ( p @ V1t1 ) )
% 5.44/5.66 | ( ~ ( p @ V0b )
% 5.44/5.66 & ( p @ V2t2 ) ) ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2ETYPE__DEFINITION__THM,axiom,
% 5.44/5.66 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.44/5.66 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.44/5.66 => ! [V1rep: $i] :
% 5.44/5.66 ( ( mem @ V1rep @ ( arr @ A_27b @ A_27a ) )
% 5.44/5.66 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2ETYPE__DEFINITION @ A_27a @ A_27b ) @ V0P ) @ V1rep ) )
% 5.44/5.66 <=> ( ! [V2x_27: $i] :
% 5.44/5.66 ( ( mem @ V2x_27 @ A_27b )
% 5.44/5.66 => ! [V3x_27_27: $i] :
% 5.44/5.66 ( ( mem @ V3x_27_27 @ A_27b )
% 5.44/5.66 => ( ( ( ap @ V1rep @ V2x_27 )
% 5.44/5.66 = ( ap @ V1rep @ V3x_27_27 ) )
% 5.44/5.66 => ( V2x_27 = V3x_27_27 ) ) ) )
% 5.44/5.66 & ! [V4x: $i] :
% 5.44/5.66 ( ( mem @ V4x @ A_27a )
% 5.44/5.66 => ( ( p @ ( ap @ V0P @ V4x ) )
% 5.44/5.66 <=> ? [V5x_27: $i] :
% 5.44/5.66 ( ( mem @ V5x_27 @ A_27b )
% 5.44/5.66 & ( V4x
% 5.44/5.66 = ( ap @ V1rep @ V5x_27 ) ) ) ) ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2EONTO__THM,axiom,
% 5.44/5.66 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.66 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.66 => ( ( p @ ( ap @ ( c_2Ebool_2EONTO @ A_27a @ A_27b ) @ V0f ) )
% 5.44/5.66 <=> ! [V1y: $i] :
% 5.44/5.66 ( ( mem @ V1y @ A_27b )
% 5.44/5.66 => ? [V2x: $i] :
% 5.44/5.66 ( ( mem @ V2x @ A_27a )
% 5.44/5.66 & ( V1y
% 5.44/5.66 = ( ap @ V0f @ V2x ) ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2EONE__ONE__THM,axiom,
% 5.44/5.66 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.66 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.66 => ( ( p @ ( ap @ ( c_2Ebool_2EONE__ONE @ A_27a @ A_27b ) @ V0f ) )
% 5.44/5.66 <=> ! [V1x1: $i] :
% 5.44/5.66 ( ( mem @ V1x1 @ A_27a )
% 5.44/5.66 => ! [V2x2: $i] :
% 5.44/5.66 ( ( mem @ V2x2 @ A_27a )
% 5.44/5.66 => ( ( ( ap @ V0f @ V1x1 )
% 5.44/5.66 = ( ap @ V0f @ V2x2 ) )
% 5.44/5.66 => ( V1x1 = V2x2 ) ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2EABS__REP__THM,axiom,
% 5.44/5.66 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.44/5.66 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.44/5.66 => ( ? [V1rep: $i] :
% 5.44/5.66 ( ( mem @ V1rep @ ( arr @ A_27b @ A_27a ) )
% 5.44/5.66 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2ETYPE__DEFINITION @ A_27a @ A_27b ) @ V0P ) @ V1rep ) ) )
% 5.44/5.66 => ? [V2rep: $i] :
% 5.44/5.66 ( ( mem @ V2rep @ ( arr @ A_27b @ A_27a ) )
% 5.44/5.66 & ? [V3abs: $i] :
% 5.44/5.66 ( ( mem @ V3abs @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.66 & ! [V4a: $i] :
% 5.44/5.66 ( ( mem @ V4a @ A_27b )
% 5.44/5.66 => ( ( ap @ V3abs @ ( ap @ V2rep @ V4a ) )
% 5.44/5.66 = V4a ) )
% 5.44/5.66 & ! [V5r: $i] :
% 5.44/5.66 ( ( mem @ V5r @ A_27a )
% 5.44/5.66 => ( ( p @ ( ap @ V0P @ V5r ) )
% 5.44/5.66 <=> ( ( ap @ V2rep @ ( ap @ V3abs @ V5r ) )
% 5.44/5.66 = V5r ) ) ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2ELET__RAND,axiom,
% 5.44/5.66 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.44/5.66 ( ( mem @ V0P @ ( arr @ A_27b @ bool ) )
% 5.44/5.66 => ! [V1N: $i] :
% 5.44/5.66 ( ( mem @ V1N @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.66 => ! [V2M: $i] :
% 5.44/5.66 ( ( mem @ V2M @ A_27a )
% 5.44/5.66 => ( ( p
% 5.44/5.66 @ ( ap @ V0P
% 5.44/5.66 @ ( ap
% 5.44/5.66 @ ( ap @ ( c_2Ebool_2ELET @ A_27a @ A_27b )
% 5.44/5.66 @ ( lam @ A_27a
% 5.44/5.66 @ ^ [V3x: $i] : ( ap @ V1N @ V3x ) ) )
% 5.44/5.66 @ V2M ) ) )
% 5.44/5.66 <=> ( p
% 5.44/5.66 @ ( ap
% 5.44/5.66 @ ( ap @ ( c_2Ebool_2ELET @ A_27a @ bool )
% 5.44/5.66 @ ( lam @ A_27a
% 5.44/5.66 @ ^ [V4x: $i] : ( ap @ V0P @ ( ap @ V1N @ V4x ) ) ) )
% 5.44/5.66 @ V2M ) ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2ELET__RATOR,axiom,
% 5.44/5.66 ! [A_27a: del,A_27b: del,A_27c: del,V0N: $i] :
% 5.44/5.66 ( ( mem @ V0N @ ( arr @ A_27a @ ( arr @ A_27b @ A_27c ) ) )
% 5.44/5.66 => ! [V1M: $i] :
% 5.44/5.66 ( ( mem @ V1M @ A_27a )
% 5.44/5.66 => ! [V2b: $i] :
% 5.44/5.66 ( ( mem @ V2b @ A_27b )
% 5.44/5.66 => ( ( ap
% 5.44/5.66 @ ( ap
% 5.44/5.66 @ ( ap @ ( c_2Ebool_2ELET @ A_27a @ ( arr @ A_27b @ A_27c ) )
% 5.44/5.66 @ ( lam @ A_27a
% 5.44/5.66 @ ^ [V3x: $i] : ( ap @ V0N @ V3x ) ) )
% 5.44/5.66 @ V1M )
% 5.44/5.66 @ V2b )
% 5.44/5.66 = ( ap
% 5.44/5.66 @ ( ap @ ( c_2Ebool_2ELET @ A_27a @ A_27c )
% 5.44/5.66 @ ( lam @ A_27a
% 5.44/5.66 @ ^ [V4x: $i] : ( ap @ ( ap @ V0N @ V4x ) @ V2b ) ) )
% 5.44/5.66 @ V1M ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2ESWAP__FORALL__THM,axiom,
% 5.44/5.66 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.44/5.66 ( ( mem @ V0P @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.66 => ( ! [V1x: $i] :
% 5.44/5.66 ( ( mem @ V1x @ A_27a )
% 5.44/5.66 => ! [V2y: $i] :
% 5.44/5.66 ( ( mem @ V2y @ A_27b )
% 5.44/5.66 => ( p @ ( ap @ ( ap @ V0P @ V1x ) @ V2y ) ) ) )
% 5.44/5.66 <=> ! [V3y: $i] :
% 5.44/5.66 ( ( mem @ V3y @ A_27b )
% 5.44/5.66 => ! [V4x: $i] :
% 5.44/5.66 ( ( mem @ V4x @ A_27a )
% 5.44/5.66 => ( p @ ( ap @ ( ap @ V0P @ V4x ) @ V3y ) ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2ESWAP__EXISTS__THM,axiom,
% 5.44/5.66 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.44/5.66 ( ( mem @ V0P @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.66 => ( ? [V1x: $i] :
% 5.44/5.66 ( ( mem @ V1x @ A_27a )
% 5.44/5.66 & ? [V2y: $i] :
% 5.44/5.66 ( ( mem @ V2y @ A_27b )
% 5.44/5.66 & ( p @ ( ap @ ( ap @ V0P @ V1x ) @ V2y ) ) ) )
% 5.44/5.66 <=> ? [V3y: $i] :
% 5.44/5.66 ( ( mem @ V3y @ A_27b )
% 5.44/5.66 & ? [V4x: $i] :
% 5.44/5.66 ( ( mem @ V4x @ A_27a )
% 5.44/5.66 & ( p @ ( ap @ ( ap @ V0P @ V4x ) @ V3y ) ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2EEXISTS__UNIQUE__THM,axiom,
% 5.44/5.66 ! [A_27a: del,V0P: $i] :
% 5.44/5.66 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.44/5.66 => ( ( p
% 5.44/5.66 @ ( ap @ ( c_2Ebool_2E_3F_21 @ A_27a )
% 5.44/5.66 @ ( lam @ A_27a
% 5.44/5.66 @ ^ [V1x: $i] : ( ap @ V0P @ V1x ) ) ) )
% 5.44/5.66 <=> ( ? [V2x: $i] :
% 5.44/5.66 ( ( mem @ V2x @ A_27a )
% 5.44/5.66 & ( p @ ( ap @ V0P @ V2x ) ) )
% 5.44/5.66 & ! [V3x: $i] :
% 5.44/5.66 ( ( mem @ V3x @ A_27a )
% 5.44/5.66 => ! [V4y: $i] :
% 5.44/5.66 ( ( mem @ V4y @ A_27a )
% 5.44/5.66 => ( ( ( p @ ( ap @ V0P @ V3x ) )
% 5.44/5.66 & ( p @ ( ap @ V0P @ V4y ) ) )
% 5.44/5.66 => ( V3x = V4y ) ) ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2ELET__CONG,axiom,
% 5.44/5.66 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.66 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.66 => ! [V1g: $i] :
% 5.44/5.66 ( ( mem @ V1g @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.66 => ! [V2M: $i] :
% 5.44/5.66 ( ( mem @ V2M @ A_27a )
% 5.44/5.66 => ! [V3N: $i] :
% 5.44/5.66 ( ( mem @ V3N @ A_27a )
% 5.44/5.66 => ( ( ( V2M = V3N )
% 5.44/5.66 & ! [V4x: $i] :
% 5.44/5.66 ( ( mem @ V4x @ A_27a )
% 5.44/5.66 => ( ( V4x = V3N )
% 5.44/5.66 => ( ( ap @ V0f @ V4x )
% 5.44/5.66 = ( ap @ V1g @ V4x ) ) ) ) )
% 5.44/5.66 => ( ( ap @ ( ap @ ( c_2Ebool_2ELET @ A_27a @ A_27b ) @ V0f ) @ V2M )
% 5.44/5.66 = ( ap @ ( ap @ ( c_2Ebool_2ELET @ A_27a @ A_27b ) @ V1g ) @ V3N ) ) ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2EIMP__CONG,axiom,
% 5.44/5.66 ! [V0x: $i] :
% 5.44/5.66 ( ( mem @ V0x @ bool )
% 5.44/5.66 => ! [V1x_27: $i] :
% 5.44/5.66 ( ( mem @ V1x_27 @ bool )
% 5.44/5.66 => ! [V2y: $i] :
% 5.44/5.66 ( ( mem @ V2y @ bool )
% 5.44/5.66 => ! [V3y_27: $i] :
% 5.44/5.66 ( ( mem @ V3y_27 @ bool )
% 5.44/5.66 => ( ( ( ( p @ V0x )
% 5.44/5.66 <=> ( p @ V1x_27 ) )
% 5.44/5.66 & ( ( p @ V1x_27 )
% 5.44/5.66 => ( ( p @ V2y )
% 5.44/5.66 <=> ( p @ V3y_27 ) ) ) )
% 5.44/5.66 => ( ( ( p @ V0x )
% 5.44/5.66 => ( p @ V2y ) )
% 5.44/5.66 <=> ( ( p @ V1x_27 )
% 5.44/5.66 => ( p @ V3y_27 ) ) ) ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2EAND__CONG,axiom,
% 5.44/5.66 ! [V0P: $i] :
% 5.44/5.66 ( ( mem @ V0P @ bool )
% 5.44/5.66 => ! [V1P_27: $i] :
% 5.44/5.66 ( ( mem @ V1P_27 @ bool )
% 5.44/5.66 => ! [V2Q: $i] :
% 5.44/5.66 ( ( mem @ V2Q @ bool )
% 5.44/5.66 => ! [V3Q_27: $i] :
% 5.44/5.66 ( ( mem @ V3Q_27 @ bool )
% 5.44/5.66 => ( ( ( ( p @ V2Q )
% 5.44/5.66 => ( ( p @ V0P )
% 5.44/5.66 <=> ( p @ V1P_27 ) ) )
% 5.44/5.66 & ( ( p @ V1P_27 )
% 5.44/5.66 => ( ( p @ V2Q )
% 5.44/5.66 <=> ( p @ V3Q_27 ) ) ) )
% 5.44/5.66 => ( ( ( p @ V0P )
% 5.44/5.66 & ( p @ V2Q ) )
% 5.44/5.66 <=> ( ( p @ V1P_27 )
% 5.44/5.66 & ( p @ V3Q_27 ) ) ) ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2ELEFT__AND__CONG,axiom,
% 5.44/5.66 ! [V0P: $i] :
% 5.44/5.66 ( ( mem @ V0P @ bool )
% 5.44/5.66 => ! [V1P_27: $i] :
% 5.44/5.66 ( ( mem @ V1P_27 @ bool )
% 5.44/5.66 => ! [V2Q: $i] :
% 5.44/5.66 ( ( mem @ V2Q @ bool )
% 5.44/5.66 => ! [V3Q_27: $i] :
% 5.44/5.66 ( ( mem @ V3Q_27 @ bool )
% 5.44/5.66 => ( ( ( ( p @ V0P )
% 5.44/5.66 <=> ( p @ V1P_27 ) )
% 5.44/5.66 & ( ( p @ V1P_27 )
% 5.44/5.66 => ( ( p @ V2Q )
% 5.44/5.66 <=> ( p @ V3Q_27 ) ) ) )
% 5.44/5.66 => ( ( ( p @ V0P )
% 5.44/5.66 & ( p @ V2Q ) )
% 5.44/5.66 <=> ( ( p @ V1P_27 )
% 5.44/5.66 & ( p @ V3Q_27 ) ) ) ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2EOR__CONG,axiom,
% 5.44/5.66 ! [V0P: $i] :
% 5.44/5.66 ( ( mem @ V0P @ bool )
% 5.44/5.66 => ! [V1P_27: $i] :
% 5.44/5.66 ( ( mem @ V1P_27 @ bool )
% 5.44/5.66 => ! [V2Q: $i] :
% 5.44/5.66 ( ( mem @ V2Q @ bool )
% 5.44/5.66 => ! [V3Q_27: $i] :
% 5.44/5.66 ( ( mem @ V3Q_27 @ bool )
% 5.44/5.66 => ( ( ( ~ ( p @ V2Q )
% 5.44/5.66 => ( ( p @ V0P )
% 5.44/5.66 <=> ( p @ V1P_27 ) ) )
% 5.44/5.66 & ( ~ ( p @ V1P_27 )
% 5.44/5.66 => ( ( p @ V2Q )
% 5.44/5.66 <=> ( p @ V3Q_27 ) ) ) )
% 5.44/5.66 => ( ( ( p @ V0P )
% 5.44/5.66 | ( p @ V2Q ) )
% 5.44/5.66 <=> ( ( p @ V1P_27 )
% 5.44/5.66 | ( p @ V3Q_27 ) ) ) ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2ELEFT__OR__CONG,axiom,
% 5.44/5.66 ! [V0P: $i] :
% 5.44/5.66 ( ( mem @ V0P @ bool )
% 5.44/5.66 => ! [V1P_27: $i] :
% 5.44/5.66 ( ( mem @ V1P_27 @ bool )
% 5.44/5.66 => ! [V2Q: $i] :
% 5.44/5.66 ( ( mem @ V2Q @ bool )
% 5.44/5.66 => ! [V3Q_27: $i] :
% 5.44/5.66 ( ( mem @ V3Q_27 @ bool )
% 5.44/5.66 => ( ( ( ( p @ V0P )
% 5.44/5.66 <=> ( p @ V1P_27 ) )
% 5.44/5.66 & ( ~ ( p @ V1P_27 )
% 5.44/5.66 => ( ( p @ V2Q )
% 5.44/5.66 <=> ( p @ V3Q_27 ) ) ) )
% 5.44/5.66 => ( ( ( p @ V0P )
% 5.44/5.66 | ( p @ V2Q ) )
% 5.44/5.66 <=> ( ( p @ V1P_27 )
% 5.44/5.66 | ( p @ V3Q_27 ) ) ) ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2ECOND__CONG,axiom,
% 5.44/5.66 ! [A_27a: del,V0P: $i] :
% 5.44/5.66 ( ( mem @ V0P @ bool )
% 5.44/5.66 => ! [V1Q: $i] :
% 5.44/5.66 ( ( mem @ V1Q @ bool )
% 5.44/5.66 => ! [V2x: $i] :
% 5.44/5.66 ( ( mem @ V2x @ A_27a )
% 5.44/5.66 => ! [V3x_27: $i] :
% 5.44/5.66 ( ( mem @ V3x_27 @ A_27a )
% 5.44/5.66 => ! [V4y: $i] :
% 5.44/5.66 ( ( mem @ V4y @ A_27a )
% 5.44/5.66 => ! [V5y_27: $i] :
% 5.44/5.66 ( ( mem @ V5y_27 @ A_27a )
% 5.44/5.66 => ( ( ( ( p @ V0P )
% 5.44/5.66 <=> ( p @ V1Q ) )
% 5.44/5.66 & ( ( p @ V1Q )
% 5.44/5.66 => ( V2x = V3x_27 ) )
% 5.44/5.66 & ( ~ ( p @ V1Q )
% 5.44/5.66 => ( V4y = V5y_27 ) ) )
% 5.44/5.66 => ( ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ A_27a ) @ V0P ) @ V2x ) @ V4y )
% 5.44/5.66 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ A_27a ) @ V1Q ) @ V3x_27 ) @ V5y_27 ) ) ) ) ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2ERES__FORALL__CONG,axiom,
% 5.44/5.66 ! [A_27a: del,V0P: $i] :
% 5.44/5.66 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.44/5.66 => ! [V1Q: $i] :
% 5.44/5.66 ( ( mem @ V1Q @ ( arr @ A_27a @ bool ) )
% 5.44/5.66 => ! [V2f: $i] :
% 5.44/5.66 ( ( mem @ V2f @ ( arr @ A_27a @ bool ) )
% 5.44/5.66 => ! [V3g: $i] :
% 5.44/5.66 ( ( mem @ V3g @ ( arr @ A_27a @ bool ) )
% 5.44/5.66 => ( ( V0P = V1Q )
% 5.44/5.66 => ( ! [V4x: $i] :
% 5.44/5.66 ( ( mem @ V4x @ A_27a )
% 5.44/5.66 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V4x ) @ V1Q ) )
% 5.44/5.66 => ( ( p @ ( ap @ V2f @ V4x ) )
% 5.44/5.66 <=> ( p @ ( ap @ V3g @ V4x ) ) ) ) )
% 5.44/5.66 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2ERES__FORALL @ A_27a ) @ V0P ) @ V2f ) )
% 5.44/5.66 <=> ( p @ ( ap @ ( ap @ ( c_2Ebool_2ERES__FORALL @ A_27a ) @ V1Q ) @ V3g ) ) ) ) ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2ERES__EXISTS__CONG,axiom,
% 5.44/5.66 ! [A_27a: del,V0P: $i] :
% 5.44/5.66 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.44/5.66 => ! [V1Q: $i] :
% 5.44/5.66 ( ( mem @ V1Q @ ( arr @ A_27a @ bool ) )
% 5.44/5.66 => ! [V2f: $i] :
% 5.44/5.66 ( ( mem @ V2f @ ( arr @ A_27a @ bool ) )
% 5.44/5.66 => ! [V3g: $i] :
% 5.44/5.66 ( ( mem @ V3g @ ( arr @ A_27a @ bool ) )
% 5.44/5.66 => ( ( V0P = V1Q )
% 5.44/5.66 => ( ! [V4x: $i] :
% 5.44/5.66 ( ( mem @ V4x @ A_27a )
% 5.44/5.66 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V4x ) @ V1Q ) )
% 5.44/5.66 => ( ( p @ ( ap @ V2f @ V4x ) )
% 5.44/5.66 <=> ( p @ ( ap @ V3g @ V4x ) ) ) ) )
% 5.44/5.66 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2ERES__EXISTS @ A_27a ) @ V0P ) @ V2f ) )
% 5.44/5.66 <=> ( p @ ( ap @ ( ap @ ( c_2Ebool_2ERES__EXISTS @ A_27a ) @ V1Q ) @ V3g ) ) ) ) ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2EMONO__AND,axiom,
% 5.44/5.66 ! [V0x: $i] :
% 5.44/5.66 ( ( mem @ V0x @ bool )
% 5.44/5.66 => ! [V1y: $i] :
% 5.44/5.66 ( ( mem @ V1y @ bool )
% 5.44/5.66 => ! [V2z: $i] :
% 5.44/5.66 ( ( mem @ V2z @ bool )
% 5.44/5.66 => ! [V3w: $i] :
% 5.44/5.66 ( ( mem @ V3w @ bool )
% 5.44/5.66 => ( ( ( ( p @ V0x )
% 5.44/5.66 => ( p @ V1y ) )
% 5.44/5.66 & ( ( p @ V2z )
% 5.44/5.66 => ( p @ V3w ) ) )
% 5.44/5.66 => ( ( ( p @ V0x )
% 5.44/5.66 & ( p @ V2z ) )
% 5.44/5.66 => ( ( p @ V1y )
% 5.44/5.66 & ( p @ V3w ) ) ) ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2EMONO__OR,axiom,
% 5.44/5.66 ! [V0x: $i] :
% 5.44/5.66 ( ( mem @ V0x @ bool )
% 5.44/5.66 => ! [V1y: $i] :
% 5.44/5.66 ( ( mem @ V1y @ bool )
% 5.44/5.66 => ! [V2z: $i] :
% 5.44/5.66 ( ( mem @ V2z @ bool )
% 5.44/5.66 => ! [V3w: $i] :
% 5.44/5.66 ( ( mem @ V3w @ bool )
% 5.44/5.66 => ( ( ( ( p @ V0x )
% 5.44/5.66 => ( p @ V1y ) )
% 5.44/5.66 & ( ( p @ V2z )
% 5.44/5.66 => ( p @ V3w ) ) )
% 5.44/5.66 => ( ( ( p @ V0x )
% 5.44/5.66 | ( p @ V2z ) )
% 5.44/5.66 => ( ( p @ V1y )
% 5.44/5.66 | ( p @ V3w ) ) ) ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2EMONO__IMP,axiom,
% 5.44/5.66 ! [V0y: $i] :
% 5.44/5.66 ( ( mem @ V0y @ bool )
% 5.44/5.66 => ! [V1x: $i] :
% 5.44/5.66 ( ( mem @ V1x @ bool )
% 5.44/5.66 => ! [V2z: $i] :
% 5.44/5.66 ( ( mem @ V2z @ bool )
% 5.44/5.66 => ! [V3w: $i] :
% 5.44/5.66 ( ( mem @ V3w @ bool )
% 5.44/5.66 => ( ( ( ( p @ V0y )
% 5.44/5.66 => ( p @ V1x ) )
% 5.44/5.66 & ( ( p @ V2z )
% 5.44/5.66 => ( p @ V3w ) ) )
% 5.44/5.66 => ( ( ( p @ V1x )
% 5.44/5.66 => ( p @ V2z ) )
% 5.44/5.66 => ( ( p @ V0y )
% 5.44/5.66 => ( p @ V3w ) ) ) ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2EMONO__NOT,axiom,
% 5.44/5.66 ! [V0y: $i] :
% 5.44/5.66 ( ( mem @ V0y @ bool )
% 5.44/5.66 => ! [V1x: $i] :
% 5.44/5.66 ( ( mem @ V1x @ bool )
% 5.44/5.66 => ( ( ( p @ V0y )
% 5.44/5.66 => ( p @ V1x ) )
% 5.44/5.66 => ( ~ ( p @ V1x )
% 5.44/5.66 => ~ ( p @ V0y ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2EMONO__NOT__EQ,axiom,
% 5.44/5.66 ! [V0y: $i] :
% 5.44/5.66 ( ( mem @ V0y @ bool )
% 5.44/5.66 => ! [V1x: $i] :
% 5.44/5.66 ( ( mem @ V1x @ bool )
% 5.44/5.66 => ( ( ( p @ V0y )
% 5.44/5.66 => ( p @ V1x ) )
% 5.44/5.66 <=> ( ~ ( p @ V1x )
% 5.44/5.66 => ~ ( p @ V0y ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2EMONO__ALL,axiom,
% 5.44/5.66 ! [A_27a: del,V0P: $i] :
% 5.44/5.66 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.44/5.66 => ! [V1Q: $i] :
% 5.44/5.66 ( ( mem @ V1Q @ ( arr @ A_27a @ bool ) )
% 5.44/5.66 => ( ! [V2x: $i] :
% 5.44/5.66 ( ( mem @ V2x @ A_27a )
% 5.44/5.66 => ( ( p @ ( ap @ V0P @ V2x ) )
% 5.44/5.66 => ( p @ ( ap @ V1Q @ V2x ) ) ) )
% 5.44/5.66 => ( ! [V3x: $i] :
% 5.44/5.66 ( ( mem @ V3x @ A_27a )
% 5.44/5.66 => ( p @ ( ap @ V0P @ V3x ) ) )
% 5.44/5.66 => ! [V4x: $i] :
% 5.44/5.66 ( ( mem @ V4x @ A_27a )
% 5.44/5.66 => ( p @ ( ap @ V1Q @ V4x ) ) ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2EMONO__EXISTS,axiom,
% 5.44/5.66 ! [A_27a: del,V0P: $i] :
% 5.44/5.66 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.44/5.66 => ! [V1Q: $i] :
% 5.44/5.66 ( ( mem @ V1Q @ ( arr @ A_27a @ bool ) )
% 5.44/5.66 => ( ! [V2x: $i] :
% 5.44/5.66 ( ( mem @ V2x @ A_27a )
% 5.44/5.66 => ( ( p @ ( ap @ V0P @ V2x ) )
% 5.44/5.66 => ( p @ ( ap @ V1Q @ V2x ) ) ) )
% 5.44/5.66 => ( ? [V3x: $i] :
% 5.44/5.66 ( ( mem @ V3x @ A_27a )
% 5.44/5.66 & ( p @ ( ap @ V0P @ V3x ) ) )
% 5.44/5.66 => ? [V4x: $i] :
% 5.44/5.66 ( ( mem @ V4x @ A_27a )
% 5.44/5.66 & ( p @ ( ap @ V1Q @ V4x ) ) ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2EMONO__COND,axiom,
% 5.44/5.66 ! [V0x: $i] :
% 5.44/5.66 ( ( mem @ V0x @ bool )
% 5.44/5.66 => ! [V1y: $i] :
% 5.44/5.66 ( ( mem @ V1y @ bool )
% 5.44/5.66 => ! [V2z: $i] :
% 5.44/5.66 ( ( mem @ V2z @ bool )
% 5.44/5.66 => ! [V3w: $i] :
% 5.44/5.66 ( ( mem @ V3w @ bool )
% 5.44/5.66 => ! [V4b: $i] :
% 5.44/5.66 ( ( mem @ V4b @ bool )
% 5.44/5.66 => ( ( ( p @ V0x )
% 5.44/5.66 => ( p @ V1y ) )
% 5.44/5.66 => ( ( ( p @ V2z )
% 5.44/5.66 => ( p @ V3w ) )
% 5.44/5.66 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ bool ) @ V4b ) @ V0x ) @ V2z ) )
% 5.44/5.66 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ bool ) @ V4b ) @ V1y ) @ V3w ) ) ) ) ) ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2EEXISTS__REFL,axiom,
% 5.44/5.66 ! [A_27a: del,V0a: $i] :
% 5.44/5.66 ( ( mem @ V0a @ A_27a )
% 5.44/5.66 => ? [V1x: $i] :
% 5.44/5.66 ( ( mem @ V1x @ A_27a )
% 5.44/5.66 & ( V1x = V0a ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2EEXISTS__UNIQUE__REFL,axiom,
% 5.44/5.66 ! [A_27a: del,V0a: $i] :
% 5.44/5.66 ( ( mem @ V0a @ A_27a )
% 5.44/5.66 => ( p
% 5.44/5.66 @ ( ap @ ( c_2Ebool_2E_3F_21 @ A_27a )
% 5.44/5.66 @ ( lam @ A_27a
% 5.44/5.66 @ ^ [V1x: $i] : ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V1x ) @ V0a ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2EUNWIND__THM1,axiom,
% 5.44/5.66 ! [A_27a: del,V0P: $i] :
% 5.44/5.66 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.44/5.66 => ! [V1a: $i] :
% 5.44/5.66 ( ( mem @ V1a @ A_27a )
% 5.44/5.66 => ( ? [V2x: $i] :
% 5.44/5.66 ( ( mem @ V2x @ A_27a )
% 5.44/5.66 & ( V1a = V2x )
% 5.44/5.66 & ( p @ ( ap @ V0P @ V2x ) ) )
% 5.44/5.66 <=> ( p @ ( ap @ V0P @ V1a ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2EUNWIND__THM2,axiom,
% 5.44/5.66 ! [A_27a: del,V0P: $i] :
% 5.44/5.66 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.44/5.66 => ! [V1a: $i] :
% 5.44/5.66 ( ( mem @ V1a @ A_27a )
% 5.44/5.66 => ( ? [V2x: $i] :
% 5.44/5.66 ( ( mem @ V2x @ A_27a )
% 5.44/5.66 & ( V2x = V1a )
% 5.44/5.66 & ( p @ ( ap @ V0P @ V2x ) ) )
% 5.44/5.66 <=> ( p @ ( ap @ V0P @ V1a ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2EUNWIND__FORALL__THM1,axiom,
% 5.44/5.66 ! [A_27a: del,V0f: $i] :
% 5.44/5.66 ( ( mem @ V0f @ ( arr @ A_27a @ bool ) )
% 5.44/5.66 => ! [V1v: $i] :
% 5.44/5.66 ( ( mem @ V1v @ A_27a )
% 5.44/5.66 => ( ! [V2x: $i] :
% 5.44/5.66 ( ( mem @ V2x @ A_27a )
% 5.44/5.66 => ( ( V1v = V2x )
% 5.44/5.66 => ( p @ ( ap @ V0f @ V2x ) ) ) )
% 5.44/5.66 <=> ( p @ ( ap @ V0f @ V1v ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2EUNWIND__FORALL__THM2,axiom,
% 5.44/5.66 ! [A_27a: del,V0f: $i] :
% 5.44/5.66 ( ( mem @ V0f @ ( arr @ A_27a @ bool ) )
% 5.44/5.66 => ! [V1v: $i] :
% 5.44/5.66 ( ( mem @ V1v @ A_27a )
% 5.44/5.66 => ( ! [V2x: $i] :
% 5.44/5.66 ( ( mem @ V2x @ A_27a )
% 5.44/5.66 => ( ( V2x = V1v )
% 5.44/5.66 => ( p @ ( ap @ V0f @ V2x ) ) ) )
% 5.44/5.66 <=> ( p @ ( ap @ V0f @ V1v ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2ESKOLEM__THM,axiom,
% 5.44/5.66 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.44/5.66 ( ( mem @ V0P @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.66 => ( ! [V1x: $i] :
% 5.44/5.66 ( ( mem @ V1x @ A_27a )
% 5.44/5.66 => ? [V2y: $i] :
% 5.44/5.66 ( ( mem @ V2y @ A_27b )
% 5.44/5.66 & ( p @ ( ap @ ( ap @ V0P @ V1x ) @ V2y ) ) ) )
% 5.44/5.66 <=> ? [V3f: $i] :
% 5.44/5.66 ( ( mem @ V3f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.66 & ! [V4x: $i] :
% 5.44/5.66 ( ( mem @ V4x @ A_27a )
% 5.44/5.66 => ( p @ ( ap @ ( ap @ V0P @ V4x ) @ ( ap @ V3f @ V4x ) ) ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2Ebool__case__thm,axiom,
% 5.44/5.66 ! [A_27a: del] :
% 5.44/5.66 ( ! [V0t1: $i] :
% 5.44/5.66 ( ( mem @ V0t1 @ A_27a )
% 5.44/5.66 => ! [V1t2: $i] :
% 5.44/5.66 ( ( mem @ V1t2 @ A_27a )
% 5.44/5.66 => ( ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ A_27a ) @ c_2Ebool_2ET ) @ V0t1 ) @ V1t2 )
% 5.44/5.66 = V0t1 ) ) )
% 5.44/5.66 & ! [V2t1: $i] :
% 5.44/5.66 ( ( mem @ V2t1 @ A_27a )
% 5.44/5.66 => ! [V3t2: $i] :
% 5.44/5.66 ( ( mem @ V3t2 @ A_27a )
% 5.44/5.66 => ( ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ A_27a ) @ c_2Ebool_2EF ) @ V2t1 ) @ V3t2 )
% 5.44/5.66 = V3t2 ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2Ebool__case__ID,axiom,
% 5.44/5.66 ! [A_27a: del,V0b: $i] :
% 5.44/5.66 ( ( mem @ V0b @ bool )
% 5.44/5.66 => ! [V1t: $i] :
% 5.44/5.66 ( ( mem @ V1t @ A_27a )
% 5.44/5.66 => ( ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ A_27a ) @ V0b ) @ V1t ) @ V1t )
% 5.44/5.66 = V1t ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2EboolAxiom,axiom,
% 5.44/5.66 ! [A_27a: del,V0t1: $i] :
% 5.44/5.66 ( ( mem @ V0t1 @ A_27a )
% 5.44/5.66 => ! [V1t2: $i] :
% 5.44/5.66 ( ( mem @ V1t2 @ A_27a )
% 5.44/5.66 => ? [V2fn: $i] :
% 5.44/5.66 ( ( mem @ V2fn @ ( arr @ bool @ A_27a ) )
% 5.44/5.66 & ( ( ap @ V2fn @ c_2Ebool_2ET )
% 5.44/5.66 = V0t1 )
% 5.44/5.66 & ( ( ap @ V2fn @ c_2Ebool_2EF )
% 5.44/5.66 = V1t2 ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2Ebool__INDUCT,axiom,
% 5.44/5.66 ! [V0P: $i] :
% 5.44/5.66 ( ( mem @ V0P @ ( arr @ bool @ bool ) )
% 5.44/5.66 => ( ( ( p @ ( ap @ V0P @ c_2Ebool_2ET ) )
% 5.44/5.66 & ( p @ ( ap @ V0P @ c_2Ebool_2EF ) ) )
% 5.44/5.66 => ! [V1b: $i] :
% 5.44/5.66 ( ( mem @ V1b @ bool )
% 5.44/5.66 => ( p @ ( ap @ V0P @ V1b ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2Ebool__case__CONG,axiom,
% 5.44/5.66 ! [A_27a: del,V0P: $i] :
% 5.44/5.66 ( ( mem @ V0P @ bool )
% 5.44/5.66 => ! [V1Q: $i] :
% 5.44/5.66 ( ( mem @ V1Q @ bool )
% 5.44/5.66 => ! [V2x: $i] :
% 5.44/5.66 ( ( mem @ V2x @ A_27a )
% 5.44/5.66 => ! [V3x_27: $i] :
% 5.44/5.66 ( ( mem @ V3x_27 @ A_27a )
% 5.44/5.66 => ! [V4y: $i] :
% 5.44/5.66 ( ( mem @ V4y @ A_27a )
% 5.44/5.66 => ! [V5y_27: $i] :
% 5.44/5.66 ( ( mem @ V5y_27 @ A_27a )
% 5.44/5.66 => ( ( ( ( p @ V0P )
% 5.44/5.66 <=> ( p @ V1Q ) )
% 5.44/5.66 & ( ( p @ V1Q )
% 5.44/5.66 => ( V2x = V3x_27 ) )
% 5.44/5.66 & ( ~ ( p @ V1Q )
% 5.44/5.66 => ( V4y = V5y_27 ) ) )
% 5.44/5.66 => ( ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ A_27a ) @ V0P ) @ V2x ) @ V4y )
% 5.44/5.66 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ A_27a ) @ V1Q ) @ V3x_27 ) @ V5y_27 ) ) ) ) ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2EFORALL__BOOL,axiom,
% 5.44/5.66 ! [V0P: $i] :
% 5.44/5.66 ( ( mem @ V0P @ ( arr @ bool @ bool ) )
% 5.44/5.66 => ( ! [V1b: $i] :
% 5.44/5.66 ( ( mem @ V1b @ bool )
% 5.44/5.66 => ( p @ ( ap @ V0P @ V1b ) ) )
% 5.44/5.66 <=> ( ( p @ ( ap @ V0P @ c_2Ebool_2ET ) )
% 5.44/5.66 & ( p @ ( ap @ V0P @ c_2Ebool_2EF ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2EUEXISTS__OR__THM,axiom,
% 5.44/5.66 ! [A_27a: del,V0P: $i] :
% 5.44/5.66 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.44/5.66 => ! [V1Q: $i] :
% 5.44/5.66 ( ( mem @ V1Q @ ( arr @ A_27a @ bool ) )
% 5.44/5.66 => ( ( p
% 5.44/5.66 @ ( ap @ ( c_2Ebool_2E_3F_21 @ A_27a )
% 5.44/5.66 @ ( lam @ A_27a
% 5.44/5.66 @ ^ [V2x: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V0P @ V2x ) ) @ ( ap @ V1Q @ V2x ) ) ) ) )
% 5.44/5.66 => ( ( p
% 5.44/5.66 @ ( ap @ ( c_2Ebool_2E_3F_21 @ A_27a )
% 5.44/5.66 @ ( lam @ A_27a
% 5.44/5.66 @ ^ [V3x: $i] : ( ap @ V0P @ V3x ) ) ) )
% 5.44/5.66 | ( p
% 5.44/5.66 @ ( ap @ ( c_2Ebool_2E_3F_21 @ A_27a )
% 5.44/5.66 @ ( lam @ A_27a
% 5.44/5.66 @ ^ [V4x: $i] : ( ap @ V1Q @ V4x ) ) ) ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2EUEXISTS__SIMP,axiom,
% 5.44/5.66 ! [A_27a: del,V0t: $i] :
% 5.44/5.66 ( ( mem @ V0t @ bool )
% 5.44/5.66 => ( ( p
% 5.44/5.66 @ ( ap @ ( c_2Ebool_2E_3F_21 @ A_27a )
% 5.44/5.66 @ ( lam @ A_27a
% 5.44/5.66 @ ^ [V1x: $i] : V0t ) ) )
% 5.44/5.66 <=> ( ( p @ V0t )
% 5.44/5.66 & ! [V2x: $i] :
% 5.44/5.66 ( ( mem @ V2x @ A_27a )
% 5.44/5.66 => ! [V3y: $i] :
% 5.44/5.66 ( ( mem @ V3y @ A_27a )
% 5.44/5.66 => ( V2x = V3y ) ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(ax_thm_2Ebool_2ERES__ABSTRACT__DEF,axiom,
% 5.44/5.66 ! [A_27a: del,A_27b: del] :
% 5.44/5.66 ( ! [V0p: $i] :
% 5.44/5.66 ( ( mem @ V0p @ ( arr @ A_27a @ bool ) )
% 5.44/5.66 => ! [V1m: $i] :
% 5.44/5.66 ( ( mem @ V1m @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.66 => ! [V2x: $i] :
% 5.44/5.66 ( ( mem @ V2x @ A_27a )
% 5.44/5.66 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V0p ) )
% 5.44/5.66 => ( ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ERES__ABSTRACT @ A_27a @ A_27b ) @ V0p ) @ V1m ) @ V2x )
% 5.44/5.66 = ( ap @ V1m @ V2x ) ) ) ) ) )
% 5.44/5.66 & ! [V3p: $i] :
% 5.44/5.66 ( ( mem @ V3p @ ( arr @ A_27a @ bool ) )
% 5.44/5.66 => ! [V4m1: $i] :
% 5.44/5.66 ( ( mem @ V4m1 @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.66 => ! [V5m2: $i] :
% 5.44/5.66 ( ( mem @ V5m2 @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.66 => ( ! [V6x: $i] :
% 5.44/5.66 ( ( mem @ V6x @ A_27a )
% 5.44/5.66 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V6x ) @ V3p ) )
% 5.44/5.66 => ( ( ap @ V4m1 @ V6x )
% 5.44/5.66 = ( ap @ V5m2 @ V6x ) ) ) )
% 5.44/5.66 => ( ( ap @ ( ap @ ( c_2Ebool_2ERES__ABSTRACT @ A_27a @ A_27b ) @ V3p ) @ V4m1 )
% 5.44/5.66 = ( ap @ ( ap @ ( c_2Ebool_2ERES__ABSTRACT @ A_27a @ A_27b ) @ V3p ) @ V5m2 ) ) ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2ERES__FORALL__THM,axiom,
% 5.44/5.66 ! [A_27a: del,V0P: $i] :
% 5.44/5.66 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.44/5.66 => ! [V1f: $i] :
% 5.44/5.66 ( ( mem @ V1f @ ( arr @ A_27a @ bool ) )
% 5.44/5.66 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2ERES__FORALL @ A_27a ) @ V0P ) @ V1f ) )
% 5.44/5.66 <=> ! [V2x: $i] :
% 5.44/5.66 ( ( mem @ V2x @ A_27a )
% 5.44/5.66 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V0P ) )
% 5.44/5.66 => ( p @ ( ap @ V1f @ V2x ) ) ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2ERES__EXISTS__THM,axiom,
% 5.44/5.66 ! [A_27a: del,V0P: $i] :
% 5.44/5.66 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.44/5.66 => ! [V1f: $i] :
% 5.44/5.66 ( ( mem @ V1f @ ( arr @ A_27a @ bool ) )
% 5.44/5.66 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2ERES__EXISTS @ A_27a ) @ V0P ) @ V1f ) )
% 5.44/5.66 <=> ? [V2x: $i] :
% 5.44/5.66 ( ( mem @ V2x @ A_27a )
% 5.44/5.66 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V0P ) )
% 5.44/5.66 & ( p @ ( ap @ V1f @ V2x ) ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2ERES__EXISTS__UNIQUE__THM,axiom,
% 5.44/5.66 ! [A_27a: del,V0P: $i] :
% 5.44/5.66 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.44/5.66 => ! [V1f: $i] :
% 5.44/5.66 ( ( mem @ V1f @ ( arr @ A_27a @ bool ) )
% 5.44/5.66 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2ERES__EXISTS__UNIQUE @ A_27a ) @ V0P ) @ V1f ) )
% 5.44/5.66 <=> ( ( p
% 5.44/5.66 @ ( ap @ ( ap @ ( c_2Ebool_2ERES__EXISTS @ A_27a ) @ V0P )
% 5.44/5.66 @ ( lam @ A_27a
% 5.44/5.66 @ ^ [V2x: $i] : ( ap @ V1f @ V2x ) ) ) )
% 5.44/5.66 & ( p
% 5.44/5.66 @ ( ap @ ( ap @ ( c_2Ebool_2ERES__FORALL @ A_27a ) @ V0P )
% 5.44/5.66 @ ( lam @ A_27a
% 5.44/5.66 @ ^ [V3x: $i] :
% 5.44/5.66 ( ap @ ( ap @ ( c_2Ebool_2ERES__FORALL @ A_27a ) @ V0P )
% 5.44/5.66 @ ( lam @ A_27a
% 5.44/5.66 @ ^ [V4y: $i] : ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V1f @ V3x ) ) @ ( ap @ V1f @ V4y ) ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V3x ) @ V4y ) ) ) ) ) ) ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2ERES__SELECT__THM,axiom,
% 5.44/5.66 ! [A_27a: del,V0P: $i] :
% 5.44/5.66 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.44/5.66 => ! [V1f: $i] :
% 5.44/5.66 ( ( mem @ V1f @ ( arr @ A_27a @ bool ) )
% 5.44/5.66 => ( ( ap @ ( ap @ ( c_2Ebool_2ERES__SELECT @ A_27a ) @ V0P ) @ V1f )
% 5.44/5.66 = ( ap @ ( c_2Emin_2E_40 @ A_27a )
% 5.44/5.66 @ ( lam @ A_27a
% 5.44/5.66 @ ^ [V2x: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V0P ) ) @ ( ap @ V1f @ V2x ) ) ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2ERES__FORALL__TRUE,axiom,
% 5.44/5.66 ! [A_27a: del,V0P: $i] :
% 5.44/5.66 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.44/5.66 => ( ( p
% 5.44/5.66 @ ( ap @ ( ap @ ( c_2Ebool_2ERES__FORALL @ A_27a ) @ V0P )
% 5.44/5.66 @ ( lam @ A_27a
% 5.44/5.66 @ ^ [V1x: $i] : c_2Ebool_2ET ) ) )
% 5.44/5.66 <=> $true ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2ERES__EXISTS__FALSE,axiom,
% 5.44/5.66 ! [A_27a: del,V0P: $i] :
% 5.44/5.66 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.44/5.66 => ( ( p
% 5.44/5.66 @ ( ap @ ( ap @ ( c_2Ebool_2ERES__EXISTS @ A_27a ) @ V0P )
% 5.44/5.66 @ ( lam @ A_27a
% 5.44/5.66 @ ^ [V1x: $i] : c_2Ebool_2EF ) ) )
% 5.44/5.66 <=> $false ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2EBOOL__FUN__CASES__THM,axiom,
% 5.44/5.66 ! [V0f: $i] :
% 5.44/5.66 ( ( mem @ V0f @ ( arr @ bool @ bool ) )
% 5.44/5.66 => ( ( V0f
% 5.44/5.66 = ( lam @ bool
% 5.44/5.66 @ ^ [V1b: $i] : c_2Ebool_2ET ) )
% 5.44/5.66 | ( V0f
% 5.44/5.66 = ( lam @ bool
% 5.44/5.66 @ ^ [V2b: $i] : c_2Ebool_2EF ) )
% 5.44/5.66 | ( V0f
% 5.44/5.66 = ( lam @ bool
% 5.44/5.66 @ ^ [V3b: $i] : V3b ) )
% 5.44/5.66 | ( V0f
% 5.44/5.66 = ( lam @ bool
% 5.44/5.66 @ ^ [V4b: $i] : ( ap @ c_2Ebool_2E_7E @ V4b ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2EBOOL__FUN__INDUCT,axiom,
% 5.44/5.66 ! [V0P: $i] :
% 5.44/5.66 ( ( mem @ V0P @ ( arr @ ( arr @ bool @ bool ) @ bool ) )
% 5.44/5.66 => ( ( ( p
% 5.44/5.66 @ ( ap @ V0P
% 5.44/5.66 @ ( lam @ bool
% 5.44/5.66 @ ^ [V1b: $i] : c_2Ebool_2ET ) ) )
% 5.44/5.66 & ( p
% 5.44/5.66 @ ( ap @ V0P
% 5.44/5.66 @ ( lam @ bool
% 5.44/5.66 @ ^ [V2b: $i] : c_2Ebool_2EF ) ) )
% 5.44/5.66 & ( p
% 5.44/5.66 @ ( ap @ V0P
% 5.44/5.66 @ ( lam @ bool
% 5.44/5.66 @ ^ [V3b: $i] : V3b ) ) )
% 5.44/5.66 & ( p
% 5.44/5.66 @ ( ap @ V0P
% 5.44/5.66 @ ( lam @ bool
% 5.44/5.66 @ ^ [V4b: $i] : ( ap @ c_2Ebool_2E_7E @ V4b ) ) ) ) )
% 5.44/5.66 => ! [V5f: $i] :
% 5.44/5.66 ( ( mem @ V5f @ ( arr @ bool @ bool ) )
% 5.44/5.66 => ( p @ ( ap @ V0P @ V5f ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2Eliteral__case__THM,axiom,
% 5.44/5.66 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.66 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.66 => ! [V1x: $i] :
% 5.44/5.66 ( ( mem @ V1x @ A_27a )
% 5.44/5.66 => ( ( ap @ ( ap @ ( c_2Ebool_2Eliteral__case @ A_27a @ A_27b ) @ V0f ) @ V1x )
% 5.44/5.66 = ( ap @ V0f @ V1x ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2Eliteral__case__RAND,axiom,
% 5.44/5.66 ! [A_27a: del,A_27b: del,A_27c: del,V0P: $i] :
% 5.44/5.66 ( ( mem @ V0P @ ( arr @ A_27b @ A_27c ) )
% 5.44/5.66 => ! [V1N: $i] :
% 5.44/5.66 ( ( mem @ V1N @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.66 => ! [V2M: $i] :
% 5.44/5.66 ( ( mem @ V2M @ A_27a )
% 5.44/5.66 => ( ( ap @ V0P
% 5.44/5.66 @ ( ap
% 5.44/5.66 @ ( ap @ ( c_2Ebool_2Eliteral__case @ A_27a @ A_27b )
% 5.44/5.66 @ ( lam @ A_27a
% 5.44/5.66 @ ^ [V3x: $i] : ( ap @ V1N @ V3x ) ) )
% 5.44/5.66 @ V2M ) )
% 5.44/5.66 = ( ap
% 5.44/5.66 @ ( ap @ ( c_2Ebool_2Eliteral__case @ A_27a @ A_27c )
% 5.44/5.66 @ ( lam @ A_27a
% 5.44/5.66 @ ^ [V4x: $i] : ( ap @ V0P @ ( ap @ V1N @ V4x ) ) ) )
% 5.44/5.66 @ V2M ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2Eliteral__case__RATOR,axiom,
% 5.44/5.66 ! [A_27a: del,A_27b: del,A_27c: del,V0N: $i] :
% 5.44/5.66 ( ( mem @ V0N @ ( arr @ A_27a @ ( arr @ A_27b @ A_27c ) ) )
% 5.44/5.66 => ! [V1M: $i] :
% 5.44/5.66 ( ( mem @ V1M @ A_27a )
% 5.44/5.66 => ! [V2b: $i] :
% 5.44/5.66 ( ( mem @ V2b @ A_27b )
% 5.44/5.66 => ( ( ap
% 5.44/5.66 @ ( ap
% 5.44/5.66 @ ( ap @ ( c_2Ebool_2Eliteral__case @ A_27a @ ( arr @ A_27b @ A_27c ) )
% 5.44/5.66 @ ( lam @ A_27a
% 5.44/5.66 @ ^ [V3x: $i] : ( ap @ V0N @ V3x ) ) )
% 5.44/5.66 @ V1M )
% 5.44/5.66 @ V2b )
% 5.44/5.66 = ( ap
% 5.44/5.66 @ ( ap @ ( c_2Ebool_2Eliteral__case @ A_27a @ A_27c )
% 5.44/5.66 @ ( lam @ A_27a
% 5.44/5.66 @ ^ [V4x: $i] : ( ap @ ( ap @ V0N @ V4x ) @ V2b ) ) )
% 5.44/5.66 @ V1M ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2Eliteral__case__CONG,axiom,
% 5.44/5.66 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.66 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.66 => ! [V1g: $i] :
% 5.44/5.66 ( ( mem @ V1g @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.66 => ! [V2M: $i] :
% 5.44/5.66 ( ( mem @ V2M @ A_27a )
% 5.44/5.66 => ! [V3N: $i] :
% 5.44/5.66 ( ( mem @ V3N @ A_27a )
% 5.44/5.66 => ( ( ( V2M = V3N )
% 5.44/5.66 & ! [V4x: $i] :
% 5.44/5.66 ( ( mem @ V4x @ A_27a )
% 5.44/5.66 => ( ( V4x = V3N )
% 5.44/5.66 => ( ( ap @ V0f @ V4x )
% 5.44/5.66 = ( ap @ V1g @ V4x ) ) ) ) )
% 5.44/5.66 => ( ( ap @ ( ap @ ( c_2Ebool_2Eliteral__case @ A_27a @ A_27b ) @ V0f ) @ V2M )
% 5.44/5.66 = ( ap @ ( ap @ ( c_2Ebool_2Eliteral__case @ A_27a @ A_27b ) @ V1g ) @ V3N ) ) ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2Eliteral__case__id,axiom,
% 5.44/5.66 ! [A_27a: del,A_27b: del,V0a: $i] :
% 5.44/5.66 ( ( mem @ V0a @ A_27a )
% 5.44/5.66 => ! [V1t: $i] :
% 5.44/5.66 ( ( mem @ V1t @ A_27b )
% 5.44/5.66 => ! [V2u: $i] :
% 5.44/5.66 ( ( mem @ V2u @ A_27b )
% 5.44/5.66 => ( ( ap
% 5.44/5.66 @ ( ap @ ( c_2Ebool_2Eliteral__case @ A_27a @ A_27b )
% 5.44/5.66 @ ( lam @ A_27a
% 5.44/5.66 @ ^ [V3x: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ A_27b ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V3x ) @ V0a ) ) @ V1t ) @ V2u ) ) )
% 5.44/5.66 @ V0a )
% 5.44/5.66 = V1t ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2EBOUNDED__THM,axiom,
% 5.44/5.66 ! [V0v: $i] :
% 5.44/5.66 ( ( mem @ V0v @ bool )
% 5.44/5.66 => ( ( p @ ( ap @ c_2Ebool_2EBOUNDED @ V0v ) )
% 5.44/5.66 <=> $true ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2ELCOMM__THM,axiom,
% 5.44/5.66 ! [A_27a: del,V0f: $i] :
% 5.44/5.66 ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.44/5.66 => ( ! [V1x: $i] :
% 5.44/5.66 ( ( mem @ V1x @ A_27a )
% 5.44/5.66 => ! [V2y: $i] :
% 5.44/5.66 ( ( mem @ V2y @ A_27a )
% 5.44/5.66 => ! [V3z: $i] :
% 5.44/5.66 ( ( mem @ V3z @ A_27a )
% 5.44/5.66 => ( ( ap @ ( ap @ V0f @ V1x ) @ ( ap @ ( ap @ V0f @ V2y ) @ V3z ) )
% 5.44/5.66 = ( ap @ ( ap @ V0f @ ( ap @ ( ap @ V0f @ V1x ) @ V2y ) ) @ V3z ) ) ) ) )
% 5.44/5.66 => ( ! [V4x: $i] :
% 5.44/5.66 ( ( mem @ V4x @ A_27a )
% 5.44/5.66 => ! [V5y: $i] :
% 5.44/5.66 ( ( mem @ V5y @ A_27a )
% 5.44/5.66 => ( ( ap @ ( ap @ V0f @ V4x ) @ V5y )
% 5.44/5.66 = ( ap @ ( ap @ V0f @ V5y ) @ V4x ) ) ) )
% 5.44/5.66 => ! [V6x: $i] :
% 5.44/5.66 ( ( mem @ V6x @ A_27a )
% 5.44/5.66 => ! [V7y: $i] :
% 5.44/5.66 ( ( mem @ V7y @ A_27a )
% 5.44/5.66 => ! [V8z: $i] :
% 5.44/5.66 ( ( mem @ V8z @ A_27a )
% 5.44/5.66 => ( ( ap @ ( ap @ V0f @ V6x ) @ ( ap @ ( ap @ V0f @ V7y ) @ V8z ) )
% 5.44/5.66 = ( ap @ ( ap @ V0f @ V7y ) @ ( ap @ ( ap @ V0f @ V6x ) @ V8z ) ) ) ) ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2EDATATYPE__TAG__THM,axiom,
% 5.44/5.66 ! [A_27a: del,V0x: $i] :
% 5.44/5.66 ( ( mem @ V0x @ A_27a )
% 5.44/5.66 => ( ( p @ ( ap @ ( c_2Ebool_2EDATATYPE @ A_27a ) @ V0x ) )
% 5.44/5.66 <=> $true ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2EDATATYPE__BOOL,axiom,
% 5.44/5.66 ! [V0bool: $i] :
% 5.44/5.66 ( ( mem @ V0bool @ ( arr @ bool @ ( arr @ bool @ bool ) ) )
% 5.44/5.66 => ( ( p @ ( ap @ ( c_2Ebool_2EDATATYPE @ bool ) @ ( ap @ ( ap @ V0bool @ c_2Ebool_2ET ) @ c_2Ebool_2EF ) ) )
% 5.44/5.66 <=> $true ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(ax_thm_2Ebool_2Eitself__TY__DEF,axiom,
% 5.44/5.66 ! [A_27a: del] :
% 5.44/5.66 ? [V0rep: $i] :
% 5.44/5.66 ( ( mem @ V0rep @ ( arr @ ( ty_2Ebool_2Eitself @ A_27a ) @ A_27a ) )
% 5.44/5.66 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2ETYPE__DEFINITION @ A_27a @ ( ty_2Ebool_2Eitself @ A_27a ) ) @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ ( c_2Ebool_2EARB @ A_27a ) ) ) @ V0rep ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2EITSELF__UNIQUE,axiom,
% 5.44/5.66 ! [A_27a: del,V0i: $i] :
% 5.44/5.66 ( ( mem @ V0i @ ( ty_2Ebool_2Eitself @ A_27a ) )
% 5.44/5.66 => ( V0i
% 5.44/5.66 = ( c_2Ebool_2Ethe__value @ A_27a ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2Eitself__Axiom,axiom,
% 5.44/5.66 ! [A_27a: del,A_27b: del,V0e: $i] :
% 5.44/5.66 ( ( mem @ V0e @ A_27b )
% 5.44/5.66 => ? [V1f: $i] :
% 5.44/5.66 ( ( mem @ V1f @ ( arr @ ( ty_2Ebool_2Eitself @ A_27a ) @ A_27b ) )
% 5.44/5.66 & ( ( ap @ V1f @ ( c_2Ebool_2Ethe__value @ A_27a ) )
% 5.44/5.66 = V0e ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2Eitself__induction,axiom,
% 5.44/5.66 ! [A_27a: del,V0P: $i] :
% 5.44/5.66 ( ( mem @ V0P @ ( arr @ ( ty_2Ebool_2Eitself @ A_27a ) @ bool ) )
% 5.44/5.66 => ( ( p @ ( ap @ V0P @ ( c_2Ebool_2Ethe__value @ A_27a ) ) )
% 5.44/5.66 => ! [V1i: $i] :
% 5.44/5.66 ( ( mem @ V1i @ ( ty_2Ebool_2Eitself @ A_27a ) )
% 5.44/5.66 => ( p @ ( ap @ V0P @ V1i ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(ax_thm_2Ebool_2Eitself__case__thm,axiom,
% 5.44/5.66 ! [A_27a: del,A_27b: del,V0b: $i] :
% 5.44/5.66 ( ( mem @ V0b @ A_27b )
% 5.44/5.66 => ( ( ap @ ( ap @ ( c_2Ebool_2Eitself__case @ A_27a @ A_27b ) @ ( c_2Ebool_2Ethe__value @ A_27a ) ) @ V0b )
% 5.44/5.66 = V0b ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2EFORALL__itself,axiom,
% 5.44/5.66 ! [A_27a: del,V0P: $i] :
% 5.44/5.66 ( ( mem @ V0P @ ( arr @ ( ty_2Ebool_2Eitself @ A_27a ) @ bool ) )
% 5.44/5.66 => ( ! [V1x: $i] :
% 5.44/5.66 ( ( mem @ V1x @ ( ty_2Ebool_2Eitself @ A_27a ) )
% 5.44/5.66 => ( p @ ( ap @ V0P @ V1x ) ) )
% 5.44/5.66 <=> ( p @ ( ap @ V0P @ ( c_2Ebool_2Ethe__value @ A_27a ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2EEXISTS__itself,axiom,
% 5.44/5.66 ! [A_27a: del,V0P: $i] :
% 5.44/5.66 ( ( mem @ V0P @ ( arr @ ( ty_2Ebool_2Eitself @ A_27a ) @ bool ) )
% 5.44/5.66 => ( ? [V1x: $i] :
% 5.44/5.66 ( ( mem @ V1x @ ( ty_2Ebool_2Eitself @ A_27a ) )
% 5.44/5.66 & ( p @ ( ap @ V0P @ V1x ) ) )
% 5.44/5.66 <=> ( p @ ( ap @ V0P @ ( c_2Ebool_2Ethe__value @ A_27a ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2EPULL__EXISTS,axiom,
% 5.44/5.66 ! [A_27a: del,V0P: $i] :
% 5.44/5.66 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.44/5.66 => ! [V1Q: $i] :
% 5.44/5.66 ( ( mem @ V1Q @ bool )
% 5.44/5.66 => ( ( ( ? [V2x: $i] :
% 5.44/5.66 ( ( mem @ V2x @ A_27a )
% 5.44/5.66 & ( p @ ( ap @ V0P @ V2x ) ) )
% 5.44/5.66 => ( p @ V1Q ) )
% 5.44/5.66 <=> ! [V3x: $i] :
% 5.44/5.66 ( ( mem @ V3x @ A_27a )
% 5.44/5.66 => ( ( p @ ( ap @ V0P @ V3x ) )
% 5.44/5.66 => ( p @ V1Q ) ) ) )
% 5.44/5.66 & ( ( ? [V4x: $i] :
% 5.44/5.66 ( ( mem @ V4x @ A_27a )
% 5.44/5.66 & ( p @ ( ap @ V0P @ V4x ) ) )
% 5.44/5.66 & ( p @ V1Q ) )
% 5.44/5.66 <=> ? [V5x: $i] :
% 5.44/5.66 ( ( mem @ V5x @ A_27a )
% 5.44/5.66 & ( p @ ( ap @ V0P @ V5x ) )
% 5.44/5.66 & ( p @ V1Q ) ) )
% 5.44/5.66 & ( ( ( p @ V1Q )
% 5.44/5.66 & ? [V6x: $i] :
% 5.44/5.66 ( ( mem @ V6x @ A_27a )
% 5.44/5.66 & ( p @ ( ap @ V0P @ V6x ) ) ) )
% 5.44/5.66 <=> ? [V7x: $i] :
% 5.44/5.66 ( ( mem @ V7x @ A_27a )
% 5.44/5.66 & ( p @ V1Q )
% 5.44/5.66 & ( p @ ( ap @ V0P @ V7x ) ) ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2EPULL__FORALL,axiom,
% 5.44/5.66 ! [A_27a: del,V0P: $i] :
% 5.44/5.66 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.44/5.66 => ! [V1Q: $i] :
% 5.44/5.66 ( ( mem @ V1Q @ bool )
% 5.44/5.66 => ( ( ( ( p @ V1Q )
% 5.44/5.66 => ! [V2x: $i] :
% 5.44/5.66 ( ( mem @ V2x @ A_27a )
% 5.44/5.66 => ( p @ ( ap @ V0P @ V2x ) ) ) )
% 5.44/5.66 <=> ! [V3x: $i] :
% 5.44/5.66 ( ( mem @ V3x @ A_27a )
% 5.44/5.66 => ( ( p @ V1Q )
% 5.44/5.66 => ( p @ ( ap @ V0P @ V3x ) ) ) ) )
% 5.44/5.66 & ( ( ! [V4x: $i] :
% 5.44/5.66 ( ( mem @ V4x @ A_27a )
% 5.44/5.66 => ( p @ ( ap @ V0P @ V4x ) ) )
% 5.44/5.66 & ( p @ V1Q ) )
% 5.44/5.66 <=> ! [V5x: $i] :
% 5.44/5.66 ( ( mem @ V5x @ A_27a )
% 5.44/5.66 => ( ( p @ ( ap @ V0P @ V5x ) )
% 5.44/5.66 & ( p @ V1Q ) ) ) )
% 5.44/5.66 & ( ( ( p @ V1Q )
% 5.44/5.66 & ! [V6x: $i] :
% 5.44/5.66 ( ( mem @ V6x @ A_27a )
% 5.44/5.66 => ( p @ ( ap @ V0P @ V6x ) ) ) )
% 5.44/5.66 <=> ! [V7x: $i] :
% 5.44/5.66 ( ( mem @ V7x @ A_27a )
% 5.44/5.66 => ( ( p @ V1Q )
% 5.44/5.66 & ( p @ ( ap @ V0P @ V7x ) ) ) ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2EPEIRCE,axiom,
% 5.44/5.66 ! [V0P: $i] :
% 5.44/5.66 ( ( mem @ V0P @ bool )
% 5.44/5.66 => ! [V1Q: $i] :
% 5.44/5.66 ( ( mem @ V1Q @ bool )
% 5.44/5.66 => ( ( ( ( p @ V0P )
% 5.44/5.66 => ( p @ V1Q ) )
% 5.44/5.66 => ( p @ V0P ) )
% 5.44/5.66 => ( p @ V0P ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2EJRH__INDUCT__UTIL,axiom,
% 5.44/5.66 ! [A_27a: del,V0P: $i] :
% 5.44/5.66 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.44/5.66 => ! [V1t: $i] :
% 5.44/5.66 ( ( mem @ V1t @ A_27a )
% 5.44/5.66 => ( ! [V2x: $i] :
% 5.44/5.66 ( ( mem @ V2x @ A_27a )
% 5.44/5.66 => ( ( V2x = V1t )
% 5.44/5.66 => ( p @ ( ap @ V0P @ V2x ) ) ) )
% 5.44/5.66 => ( p @ ( ap @ ( c_2Ebool_2E_3F @ A_27a ) @ V0P ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Ebool_2EDISJ__EQ__IMP,axiom,
% 5.44/5.66 ! [V0A: $i] :
% 5.44/5.66 ( ( mem @ V0A @ bool )
% 5.44/5.66 => ! [V1B: $i] :
% 5.44/5.66 ( ( mem @ V1B @ bool )
% 5.44/5.66 => ( ( ( p @ V0A )
% 5.44/5.66 | ( p @ V1B ) )
% 5.44/5.66 <=> ( ~ ( p @ V0A )
% 5.44/5.66 => ( p @ V1B ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 %------------------------------------------------------------------------------
% 5.44/5.66 %------------------------------------------------------------------------------
% 5.44/5.66 thf(tp_c_2EConseqConv_2EASM__MARKER,type,
% 5.44/5.66 c_2EConseqConv_2EASM__MARKER: $i ).
% 5.44/5.66
% 5.44/5.66 thf(mem_c_2EConseqConv_2EASM__MARKER,axiom,
% 5.44/5.66 mem @ c_2EConseqConv_2EASM__MARKER @ ( arr @ bool @ ( arr @ bool @ bool ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2EConseqConv_2Eforall__eq__thm,axiom,
% 5.44/5.66 ! [A_27a: del,V0P: $i] :
% 5.44/5.66 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.44/5.66 => ! [V1Q: $i] :
% 5.44/5.66 ( ( mem @ V1Q @ ( arr @ A_27a @ bool ) )
% 5.44/5.66 => ( ! [V2s: $i] :
% 5.44/5.66 ( ( mem @ V2s @ A_27a )
% 5.44/5.66 => ( ( p @ ( ap @ V0P @ V2s ) )
% 5.44/5.66 <=> ( p @ ( ap @ V1Q @ V2s ) ) ) )
% 5.44/5.66 => ( ! [V3s: $i] :
% 5.44/5.66 ( ( mem @ V3s @ A_27a )
% 5.44/5.66 => ( p @ ( ap @ V0P @ V3s ) ) )
% 5.44/5.66 <=> ! [V4s: $i] :
% 5.44/5.66 ( ( mem @ V4s @ A_27a )
% 5.44/5.66 => ( p @ ( ap @ V1Q @ V4s ) ) ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2EConseqConv_2Eexists__eq__thm,axiom,
% 5.44/5.66 ! [A_27a: del,V0P: $i] :
% 5.44/5.66 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.44/5.66 => ! [V1Q: $i] :
% 5.44/5.66 ( ( mem @ V1Q @ ( arr @ A_27a @ bool ) )
% 5.44/5.66 => ( ! [V2s: $i] :
% 5.44/5.66 ( ( mem @ V2s @ A_27a )
% 5.44/5.66 => ( ( p @ ( ap @ V0P @ V2s ) )
% 5.44/5.66 <=> ( p @ ( ap @ V1Q @ V2s ) ) ) )
% 5.44/5.66 => ( ? [V3s: $i] :
% 5.44/5.66 ( ( mem @ V3s @ A_27a )
% 5.44/5.66 & ( p @ ( ap @ V0P @ V3s ) ) )
% 5.44/5.66 <=> ? [V4s: $i] :
% 5.44/5.66 ( ( mem @ V4s @ A_27a )
% 5.44/5.66 & ( p @ ( ap @ V1Q @ V4s ) ) ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2EConseqConv_2Etrue__imp,axiom,
% 5.44/5.66 ! [V0t: $i] :
% 5.44/5.66 ( ( mem @ V0t @ bool )
% 5.44/5.66 => ( ( p @ V0t )
% 5.44/5.66 => $true ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2EConseqConv_2Efalse__imp,axiom,
% 5.44/5.66 ! [V0t: $i] :
% 5.44/5.66 ( ( mem @ V0t @ bool )
% 5.44/5.66 => ( $false
% 5.44/5.66 => ( p @ V0t ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2EConseqConv_2ENOT__CLAUSES__X,axiom,
% 5.44/5.66 ! [V0t: $i] :
% 5.44/5.66 ( ( mem @ V0t @ bool )
% 5.44/5.66 => ( ~ ~ ( p @ V0t )
% 5.44/5.66 <=> ( p @ V0t ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2EConseqConv_2ENOT__CLAUSES__T,axiom,
% 5.44/5.66 ( ~ $true
% 5.44/5.66 <=> $false ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2EConseqConv_2ENOT__CLAUSES__F,axiom,
% 5.44/5.66 ( ~ $false
% 5.44/5.66 <=> $true ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2EConseqConv_2EIMP__CONG__conj__strengthen,axiom,
% 5.44/5.66 ! [V0x: $i] :
% 5.44/5.66 ( ( mem @ V0x @ bool )
% 5.44/5.66 => ! [V1x_27: $i] :
% 5.44/5.66 ( ( mem @ V1x_27 @ bool )
% 5.44/5.66 => ! [V2y: $i] :
% 5.44/5.66 ( ( mem @ V2y @ bool )
% 5.44/5.66 => ! [V3y_27: $i] :
% 5.44/5.66 ( ( mem @ V3y_27 @ bool )
% 5.44/5.66 => ( ( ( ( p @ V2y )
% 5.44/5.66 => ( ( p @ V1x_27 )
% 5.44/5.66 => ( p @ V0x ) ) )
% 5.44/5.66 & ( ( p @ V1x_27 )
% 5.44/5.66 => ( ( p @ V3y_27 )
% 5.44/5.66 => ( p @ V2y ) ) ) )
% 5.44/5.66 => ( ( ( p @ V1x_27 )
% 5.44/5.66 & ( p @ V3y_27 ) )
% 5.44/5.66 => ( ( p @ V0x )
% 5.44/5.66 & ( p @ V2y ) ) ) ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2EConseqConv_2EIMP__CONG__conj__weaken,axiom,
% 5.44/5.66 ! [V0x: $i] :
% 5.44/5.66 ( ( mem @ V0x @ bool )
% 5.44/5.66 => ! [V1x_27: $i] :
% 5.44/5.66 ( ( mem @ V1x_27 @ bool )
% 5.44/5.66 => ! [V2y: $i] :
% 5.44/5.66 ( ( mem @ V2y @ bool )
% 5.44/5.66 => ! [V3y_27: $i] :
% 5.44/5.66 ( ( mem @ V3y_27 @ bool )
% 5.44/5.66 => ( ( ( ( p @ V2y )
% 5.44/5.66 => ( ( p @ V0x )
% 5.44/5.66 => ( p @ V1x_27 ) ) )
% 5.44/5.66 & ( ( p @ V1x_27 )
% 5.44/5.66 => ( ( p @ V2y )
% 5.44/5.66 => ( p @ V3y_27 ) ) ) )
% 5.44/5.66 => ( ( ( p @ V0x )
% 5.44/5.66 & ( p @ V2y ) )
% 5.44/5.66 => ( ( p @ V1x_27 )
% 5.44/5.66 & ( p @ V3y_27 ) ) ) ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2EConseqConv_2EAND__CLAUSES__TX,axiom,
% 5.44/5.66 ! [V0t: $i] :
% 5.44/5.66 ( ( mem @ V0t @ bool )
% 5.44/5.66 => ( ( $true
% 5.44/5.66 & ( p @ V0t ) )
% 5.44/5.66 <=> ( p @ V0t ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2EConseqConv_2EAND__CLAUSES__XT,axiom,
% 5.44/5.66 ! [V0t: $i] :
% 5.44/5.66 ( ( mem @ V0t @ bool )
% 5.44/5.66 => ( ( ( p @ V0t )
% 5.44/5.66 & $true )
% 5.44/5.66 <=> ( p @ V0t ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2EConseqConv_2EAND__CLAUSES__FX,axiom,
% 5.44/5.66 ! [V0t: $i] :
% 5.44/5.66 ( ( mem @ V0t @ bool )
% 5.44/5.66 => ( ( $false
% 5.44/5.66 & ( p @ V0t ) )
% 5.44/5.66 <=> $false ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2EConseqConv_2EAND__CLAUSES__XF,axiom,
% 5.44/5.66 ! [V0t: $i] :
% 5.44/5.66 ( ( mem @ V0t @ bool )
% 5.44/5.66 => ( ( ( p @ V0t )
% 5.44/5.66 & $false )
% 5.44/5.66 <=> $false ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2EConseqConv_2EAND__CLAUSES__XX,axiom,
% 5.44/5.66 ! [V0t: $i] :
% 5.44/5.66 ( ( mem @ V0t @ bool )
% 5.44/5.66 => ( ( ( p @ V0t )
% 5.44/5.66 & ( p @ V0t ) )
% 5.44/5.66 <=> ( p @ V0t ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2EConseqConv_2EIMP__CONG__disj__strengthen,axiom,
% 5.44/5.66 ! [V0x: $i] :
% 5.44/5.66 ( ( mem @ V0x @ bool )
% 5.44/5.66 => ! [V1x_27: $i] :
% 5.44/5.66 ( ( mem @ V1x_27 @ bool )
% 5.44/5.66 => ! [V2y: $i] :
% 5.44/5.66 ( ( mem @ V2y @ bool )
% 5.44/5.66 => ! [V3y_27: $i] :
% 5.44/5.66 ( ( mem @ V3y_27 @ bool )
% 5.44/5.66 => ( ( ( ~ ( p @ V2y )
% 5.44/5.66 => ( ( p @ V1x_27 )
% 5.44/5.66 => ( p @ V0x ) ) )
% 5.44/5.66 & ( ~ ( p @ V1x_27 )
% 5.44/5.66 => ( ( p @ V3y_27 )
% 5.44/5.66 => ( p @ V2y ) ) ) )
% 5.44/5.66 => ( ( ( p @ V1x_27 )
% 5.44/5.66 | ( p @ V3y_27 ) )
% 5.44/5.66 => ( ( p @ V0x )
% 5.44/5.66 | ( p @ V2y ) ) ) ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2EConseqConv_2EIMP__CONG__disj__weaken,axiom,
% 5.44/5.66 ! [V0x: $i] :
% 5.44/5.66 ( ( mem @ V0x @ bool )
% 5.44/5.66 => ! [V1x_27: $i] :
% 5.44/5.66 ( ( mem @ V1x_27 @ bool )
% 5.44/5.66 => ! [V2y: $i] :
% 5.44/5.66 ( ( mem @ V2y @ bool )
% 5.44/5.66 => ! [V3y_27: $i] :
% 5.44/5.66 ( ( mem @ V3y_27 @ bool )
% 5.44/5.66 => ( ( ( ~ ( p @ V2y )
% 5.44/5.66 => ( ( p @ V0x )
% 5.44/5.66 => ( p @ V1x_27 ) ) )
% 5.44/5.66 & ( ~ ( p @ V1x_27 )
% 5.44/5.66 => ( ( p @ V2y )
% 5.44/5.66 => ( p @ V3y_27 ) ) ) )
% 5.44/5.66 => ( ( ( p @ V0x )
% 5.44/5.66 | ( p @ V2y ) )
% 5.44/5.66 => ( ( p @ V1x_27 )
% 5.44/5.66 | ( p @ V3y_27 ) ) ) ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2EConseqConv_2EOR__CLAUSES__TX,axiom,
% 5.44/5.66 ! [V0t: $i] :
% 5.44/5.66 ( ( mem @ V0t @ bool )
% 5.44/5.66 => ( ( $true
% 5.44/5.66 | ( p @ V0t ) )
% 5.44/5.66 <=> $true ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2EConseqConv_2EOR__CLAUSES__XT,axiom,
% 5.44/5.66 ! [V0t: $i] :
% 5.44/5.66 ( ( mem @ V0t @ bool )
% 5.44/5.66 => ( ( ( p @ V0t )
% 5.44/5.66 | $true )
% 5.44/5.66 <=> $true ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2EConseqConv_2EOR__CLAUSES__FX,axiom,
% 5.44/5.66 ! [V0t: $i] :
% 5.44/5.66 ( ( mem @ V0t @ bool )
% 5.44/5.66 => ( ( $false
% 5.44/5.66 | ( p @ V0t ) )
% 5.44/5.66 <=> ( p @ V0t ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2EConseqConv_2EOR__CLAUSES__XF,axiom,
% 5.44/5.66 ! [V0t: $i] :
% 5.44/5.66 ( ( mem @ V0t @ bool )
% 5.44/5.66 => ( ( ( p @ V0t )
% 5.44/5.66 | $false )
% 5.44/5.66 <=> ( p @ V0t ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2EConseqConv_2EOR__CLAUSES__XX,axiom,
% 5.44/5.66 ! [V0t: $i] :
% 5.44/5.66 ( ( mem @ V0t @ bool )
% 5.44/5.66 => ( ( ( p @ V0t )
% 5.44/5.66 | ( p @ V0t ) )
% 5.44/5.66 <=> ( p @ V0t ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2EConseqConv_2EIMP__CONG__imp__strengthen,axiom,
% 5.44/5.66 ! [V0x: $i] :
% 5.44/5.66 ( ( mem @ V0x @ bool )
% 5.44/5.66 => ! [V1x_27: $i] :
% 5.44/5.66 ( ( mem @ V1x_27 @ bool )
% 5.44/5.66 => ! [V2y: $i] :
% 5.44/5.66 ( ( mem @ V2y @ bool )
% 5.44/5.66 => ! [V3y_27: $i] :
% 5.44/5.66 ( ( mem @ V3y_27 @ bool )
% 5.44/5.66 => ( ( ( ( p @ V0x )
% 5.44/5.66 => ( ( p @ V3y_27 )
% 5.44/5.66 => ( p @ V2y ) ) )
% 5.44/5.66 & ( ~ ( p @ V3y_27 )
% 5.44/5.66 => ( ( p @ V0x )
% 5.44/5.66 => ( p @ V1x_27 ) ) ) )
% 5.44/5.66 => ( ( ( p @ V1x_27 )
% 5.44/5.66 => ( p @ V3y_27 ) )
% 5.44/5.66 => ( ( p @ V0x )
% 5.44/5.66 => ( p @ V2y ) ) ) ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2EConseqConv_2EIMP__CONG__imp__weaken,axiom,
% 5.44/5.66 ! [V0x: $i] :
% 5.44/5.66 ( ( mem @ V0x @ bool )
% 5.44/5.66 => ! [V1x_27: $i] :
% 5.44/5.66 ( ( mem @ V1x_27 @ bool )
% 5.44/5.66 => ! [V2y: $i] :
% 5.44/5.66 ( ( mem @ V2y @ bool )
% 5.44/5.66 => ! [V3y_27: $i] :
% 5.44/5.66 ( ( mem @ V3y_27 @ bool )
% 5.44/5.66 => ( ( ( ( p @ V0x )
% 5.44/5.66 => ( ( p @ V2y )
% 5.44/5.66 => ( p @ V3y_27 ) ) )
% 5.44/5.66 & ( ~ ( p @ V3y_27 )
% 5.44/5.66 => ( ( p @ V1x_27 )
% 5.44/5.66 => ( p @ V0x ) ) ) )
% 5.44/5.66 => ( ( ( p @ V0x )
% 5.44/5.66 => ( p @ V2y ) )
% 5.44/5.66 => ( ( p @ V1x_27 )
% 5.44/5.66 => ( p @ V3y_27 ) ) ) ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2EConseqConv_2EIMP__CONG__simple__imp__strengthen,axiom,
% 5.44/5.66 ! [V0x: $i] :
% 5.44/5.66 ( ( mem @ V0x @ bool )
% 5.44/5.66 => ! [V1x_27: $i] :
% 5.44/5.66 ( ( mem @ V1x_27 @ bool )
% 5.44/5.66 => ! [V2y: $i] :
% 5.44/5.66 ( ( mem @ V2y @ bool )
% 5.44/5.66 => ! [V3y_27: $i] :
% 5.44/5.66 ( ( mem @ V3y_27 @ bool )
% 5.44/5.66 => ( ( ( ( p @ V0x )
% 5.44/5.66 => ( p @ V1x_27 ) )
% 5.44/5.66 & ( ( p @ V1x_27 )
% 5.44/5.66 => ( ( p @ V3y_27 )
% 5.44/5.66 => ( p @ V2y ) ) ) )
% 5.44/5.66 => ( ( ( p @ V1x_27 )
% 5.44/5.66 => ( p @ V3y_27 ) )
% 5.44/5.66 => ( ( p @ V0x )
% 5.44/5.66 => ( p @ V2y ) ) ) ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2EConseqConv_2EIMP__CONG__simple__imp__weaken,axiom,
% 5.44/5.66 ! [V0x: $i] :
% 5.44/5.66 ( ( mem @ V0x @ bool )
% 5.44/5.66 => ! [V1x_27: $i] :
% 5.44/5.66 ( ( mem @ V1x_27 @ bool )
% 5.44/5.66 => ! [V2y: $i] :
% 5.44/5.66 ( ( mem @ V2y @ bool )
% 5.44/5.66 => ! [V3y_27: $i] :
% 5.44/5.66 ( ( mem @ V3y_27 @ bool )
% 5.44/5.66 => ( ( ( ( p @ V1x_27 )
% 5.44/5.66 => ( p @ V0x ) )
% 5.44/5.66 & ( ( p @ V1x_27 )
% 5.44/5.66 => ( ( p @ V2y )
% 5.44/5.66 => ( p @ V3y_27 ) ) ) )
% 5.44/5.66 => ( ( ( p @ V0x )
% 5.44/5.66 => ( p @ V2y ) )
% 5.44/5.66 => ( ( p @ V1x_27 )
% 5.44/5.66 => ( p @ V3y_27 ) ) ) ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2EConseqConv_2EIMP__CLAUSES__TX,axiom,
% 5.44/5.66 ! [V0t: $i] :
% 5.44/5.66 ( ( mem @ V0t @ bool )
% 5.44/5.66 => ( ( $true
% 5.44/5.66 => ( p @ V0t ) )
% 5.44/5.66 <=> ( p @ V0t ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2EConseqConv_2EIMP__CLAUSES__XT,axiom,
% 5.44/5.66 ! [V0t: $i] :
% 5.44/5.66 ( ( mem @ V0t @ bool )
% 5.44/5.66 => ( ( ( p @ V0t )
% 5.44/5.66 => $true )
% 5.44/5.66 <=> $true ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2EConseqConv_2EIMP__CLAUSES__FX,axiom,
% 5.44/5.66 ! [V0t: $i] :
% 5.44/5.66 ( ( mem @ V0t @ bool )
% 5.44/5.66 => ( ( $false
% 5.44/5.66 => ( p @ V0t ) )
% 5.44/5.66 <=> $true ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2EConseqConv_2EIMP__CLAUSES__XX,axiom,
% 5.44/5.66 ! [V0t: $i] :
% 5.44/5.66 ( ( mem @ V0t @ bool )
% 5.44/5.66 => ( ( ( p @ V0t )
% 5.44/5.66 => ( p @ V0t ) )
% 5.44/5.66 <=> $true ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2EConseqConv_2EIMP__CLAUSES__XF,axiom,
% 5.44/5.66 ! [V0t: $i] :
% 5.44/5.66 ( ( mem @ V0t @ bool )
% 5.44/5.66 => ( ( ( p @ V0t )
% 5.44/5.66 => $false )
% 5.44/5.66 <=> ~ ( p @ V0t ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2EConseqConv_2EIMP__CONG__cond__simple,axiom,
% 5.44/5.66 ! [V0c: $i] :
% 5.44/5.66 ( ( mem @ V0c @ bool )
% 5.44/5.66 => ! [V1x: $i] :
% 5.44/5.66 ( ( mem @ V1x @ bool )
% 5.44/5.66 => ! [V2x_27: $i] :
% 5.44/5.66 ( ( mem @ V2x_27 @ bool )
% 5.44/5.66 => ! [V3y: $i] :
% 5.44/5.66 ( ( mem @ V3y @ bool )
% 5.44/5.66 => ! [V4y_27: $i] :
% 5.44/5.66 ( ( mem @ V4y_27 @ bool )
% 5.44/5.66 => ( ( ( ( p @ V2x_27 )
% 5.44/5.66 => ( p @ V1x ) )
% 5.44/5.66 & ( ( p @ V4y_27 )
% 5.44/5.66 => ( p @ V3y ) ) )
% 5.44/5.66 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ bool ) @ V0c ) @ V2x_27 ) @ V4y_27 ) )
% 5.44/5.66 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ bool ) @ V0c ) @ V1x ) @ V3y ) ) ) ) ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2EConseqConv_2EIMP__CONG__cond,axiom,
% 5.44/5.66 ! [V0c: $i] :
% 5.44/5.66 ( ( mem @ V0c @ bool )
% 5.44/5.66 => ! [V1x: $i] :
% 5.44/5.66 ( ( mem @ V1x @ bool )
% 5.44/5.66 => ! [V2x_27: $i] :
% 5.44/5.66 ( ( mem @ V2x_27 @ bool )
% 5.44/5.66 => ! [V3y: $i] :
% 5.44/5.66 ( ( mem @ V3y @ bool )
% 5.44/5.66 => ! [V4y_27: $i] :
% 5.44/5.66 ( ( mem @ V4y_27 @ bool )
% 5.44/5.66 => ( ( ( ( p @ V0c )
% 5.44/5.66 => ( ( p @ V2x_27 )
% 5.44/5.66 => ( p @ V1x ) ) )
% 5.44/5.66 & ( ~ ( p @ V0c )
% 5.44/5.66 => ( ( p @ V4y_27 )
% 5.44/5.66 => ( p @ V3y ) ) ) )
% 5.44/5.66 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ bool ) @ V0c ) @ V2x_27 ) @ V4y_27 ) )
% 5.44/5.66 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ bool ) @ V0c ) @ V1x ) @ V3y ) ) ) ) ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2EConseqConv_2ECOND__CLAUSES__CT,axiom,
% 5.44/5.66 ! [A_27a: del,V0t1: $i] :
% 5.44/5.66 ( ( mem @ V0t1 @ A_27a )
% 5.44/5.66 => ! [V1t2: $i] :
% 5.44/5.66 ( ( mem @ V1t2 @ A_27a )
% 5.44/5.66 => ( ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ A_27a ) @ c_2Ebool_2ET ) @ V0t1 ) @ V1t2 )
% 5.44/5.66 = V0t1 ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2EConseqConv_2ECOND__CLAUSES__CF,axiom,
% 5.44/5.66 ! [A_27a: del,V0t1: $i] :
% 5.44/5.66 ( ( mem @ V0t1 @ A_27a )
% 5.44/5.66 => ! [V1t2: $i] :
% 5.44/5.66 ( ( mem @ V1t2 @ A_27a )
% 5.44/5.66 => ( ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ A_27a ) @ c_2Ebool_2EF ) @ V0t1 ) @ V1t2 )
% 5.44/5.66 = V1t2 ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2EConseqConv_2ECOND__CLAUSES__ID,axiom,
% 5.44/5.66 ! [A_27a: del,V0b: $i] :
% 5.44/5.66 ( ( mem @ V0b @ bool )
% 5.44/5.66 => ! [V1t: $i] :
% 5.44/5.66 ( ( mem @ V1t @ A_27a )
% 5.44/5.66 => ( ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ A_27a ) @ V0b ) @ V1t ) @ V1t )
% 5.44/5.66 = V1t ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2EConseqConv_2ECOND__CLAUSES__TT,axiom,
% 5.44/5.66 ! [V0c: $i] :
% 5.44/5.66 ( ( mem @ V0c @ bool )
% 5.44/5.66 => ! [V1x: $i] :
% 5.44/5.66 ( ( mem @ V1x @ bool )
% 5.44/5.66 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ bool ) @ V0c ) @ c_2Ebool_2ET ) @ V1x ) )
% 5.44/5.66 <=> ( ~ ( p @ V0c )
% 5.44/5.66 => ( p @ V1x ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2EConseqConv_2ECOND__CLAUSES__FT,axiom,
% 5.44/5.66 ! [V0c: $i] :
% 5.44/5.66 ( ( mem @ V0c @ bool )
% 5.44/5.66 => ! [V1x: $i] :
% 5.44/5.66 ( ( mem @ V1x @ bool )
% 5.44/5.66 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ bool ) @ V0c ) @ V1x ) @ c_2Ebool_2ET ) )
% 5.44/5.66 <=> ( ( p @ V0c )
% 5.44/5.66 => ( p @ V1x ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2EConseqConv_2ECOND__CLAUSES__TF,axiom,
% 5.44/5.66 ! [V0c: $i] :
% 5.44/5.66 ( ( mem @ V0c @ bool )
% 5.44/5.66 => ! [V1x: $i] :
% 5.44/5.66 ( ( mem @ V1x @ bool )
% 5.44/5.66 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ bool ) @ V0c ) @ c_2Ebool_2EF ) @ V1x ) )
% 5.44/5.66 <=> ( ~ ( p @ V0c )
% 5.44/5.66 & ( p @ V1x ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2EConseqConv_2ECOND__CLAUSES__FF,axiom,
% 5.44/5.66 ! [V0c: $i] :
% 5.44/5.66 ( ( mem @ V0c @ bool )
% 5.44/5.66 => ! [V1x: $i] :
% 5.44/5.66 ( ( mem @ V1x @ bool )
% 5.44/5.66 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ bool ) @ V0c ) @ V1x ) @ c_2Ebool_2EF ) )
% 5.44/5.66 <=> ( ( p @ V0c )
% 5.44/5.66 & ( p @ V1x ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(ax_thm_2EConseqConv_2EASM__MARKER__DEF,axiom,
% 5.44/5.66 ( c_2EConseqConv_2EASM__MARKER
% 5.44/5.66 = ( lam @ bool
% 5.44/5.66 @ ^ [V0y: $i] :
% 5.44/5.66 ( lam @ bool
% 5.44/5.66 @ ^ [V1x: $i] : V1x ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2EConseqConv_2EASM__MARKER__THM,axiom,
% 5.44/5.66 ! [V0y: $i] :
% 5.44/5.66 ( ( mem @ V0y @ bool )
% 5.44/5.66 => ! [V1x: $i] :
% 5.44/5.66 ( ( mem @ V1x @ bool )
% 5.44/5.66 => ( ( p @ ( ap @ ( ap @ c_2EConseqConv_2EASM__MARKER @ V0y ) @ V1x ) )
% 5.44/5.66 <=> ( p @ V1x ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 %------------------------------------------------------------------------------
% 5.44/5.66 %------------------------------------------------------------------------------
% 5.44/5.66 thf(conj_thm_2Esat_2EAND__IMP,axiom,
% 5.44/5.66 ! [V0A: $i] :
% 5.44/5.66 ( ( mem @ V0A @ bool )
% 5.44/5.66 => ! [V1B: $i] :
% 5.44/5.66 ( ( mem @ V1B @ bool )
% 5.44/5.66 => ! [V2C: $i] :
% 5.44/5.66 ( ( mem @ V2C @ bool )
% 5.44/5.66 => ( ( ( ( p @ V0A )
% 5.44/5.66 & ( p @ V1B ) )
% 5.44/5.66 => ( p @ V2C ) )
% 5.44/5.66 <=> ( ( p @ V0A )
% 5.44/5.66 => ( ( p @ V1B )
% 5.44/5.66 => ( p @ V2C ) ) ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Esat_2ENOT__NOT,axiom,
% 5.44/5.66 ! [V0t: $i] :
% 5.44/5.66 ( ( mem @ V0t @ bool )
% 5.44/5.66 => ( ~ ~ ( p @ V0t )
% 5.44/5.66 <=> ( p @ V0t ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Esat_2EAND__INV,axiom,
% 5.44/5.66 ! [V0A: $i] :
% 5.44/5.66 ( ( mem @ V0A @ bool )
% 5.44/5.66 => ( ( ~ ( p @ V0A )
% 5.44/5.66 & ( p @ V0A ) )
% 5.44/5.66 <=> $false ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Esat_2EAND__INV__IMP,axiom,
% 5.44/5.66 ! [V0A: $i] :
% 5.44/5.66 ( ( mem @ V0A @ bool )
% 5.44/5.66 => ( ( p @ V0A )
% 5.44/5.66 => ( ~ ( p @ V0A )
% 5.44/5.66 => $false ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Esat_2EOR__DUAL,axiom,
% 5.44/5.66 ! [V0A: $i] :
% 5.44/5.66 ( ( mem @ V0A @ bool )
% 5.44/5.66 => ! [V1B: $i] :
% 5.44/5.66 ( ( mem @ V1B @ bool )
% 5.44/5.66 => ( ( ~ ( ( p @ V0A )
% 5.44/5.66 | ( p @ V1B ) )
% 5.44/5.66 => $false )
% 5.44/5.66 <=> ( ~ ( p @ V0A )
% 5.44/5.66 => ( ~ ( p @ V1B )
% 5.44/5.66 => $false ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Esat_2EOR__DUAL2,axiom,
% 5.44/5.66 ! [V0A: $i] :
% 5.44/5.66 ( ( mem @ V0A @ bool )
% 5.44/5.66 => ! [V1B: $i] :
% 5.44/5.66 ( ( mem @ V1B @ bool )
% 5.44/5.66 => ( ( ~ ( ( p @ V0A )
% 5.44/5.66 | ( p @ V1B ) )
% 5.44/5.66 => $false )
% 5.44/5.66 <=> ( ( ( p @ V0A )
% 5.44/5.66 => $false )
% 5.44/5.66 => ( ~ ( p @ V1B )
% 5.44/5.66 => $false ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Esat_2EOR__DUAL3,axiom,
% 5.44/5.66 ! [V0A: $i] :
% 5.44/5.66 ( ( mem @ V0A @ bool )
% 5.44/5.66 => ! [V1B: $i] :
% 5.44/5.66 ( ( mem @ V1B @ bool )
% 5.44/5.66 => ( ( ~ ( ~ ( p @ V0A )
% 5.44/5.66 | ( p @ V1B ) )
% 5.44/5.66 => $false )
% 5.44/5.66 <=> ( ( p @ V0A )
% 5.44/5.66 => ( ~ ( p @ V1B )
% 5.44/5.66 => $false ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Esat_2EAND__INV2,axiom,
% 5.44/5.66 ! [V0A: $i] :
% 5.44/5.66 ( ( mem @ V0A @ bool )
% 5.44/5.66 => ( ( ~ ( p @ V0A )
% 5.44/5.66 => $false )
% 5.44/5.66 => ( ( ( p @ V0A )
% 5.44/5.66 => $false )
% 5.44/5.66 => $false ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Esat_2ENOT__ELIM2,axiom,
% 5.44/5.66 ! [V0A: $i] :
% 5.44/5.66 ( ( mem @ V0A @ bool )
% 5.44/5.66 => ( ( ~ ( p @ V0A )
% 5.44/5.66 => $false )
% 5.44/5.66 <=> ( p @ V0A ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Esat_2EEQT__Imp1,axiom,
% 5.44/5.66 ! [V0b: $i] :
% 5.44/5.66 ( ( mem @ V0b @ bool )
% 5.44/5.66 => ( ( p @ V0b )
% 5.44/5.66 => ( ( p @ V0b )
% 5.44/5.66 <=> $true ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Esat_2EEQF__Imp1,axiom,
% 5.44/5.66 ! [V0b: $i] :
% 5.44/5.66 ( ( mem @ V0b @ bool )
% 5.44/5.66 => ( ~ ( p @ V0b )
% 5.44/5.66 => ( ( p @ V0b )
% 5.44/5.66 <=> $false ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Esat_2Edc__eq,axiom,
% 5.44/5.66 ! [V0p: $i] :
% 5.44/5.66 ( ( mem @ V0p @ bool )
% 5.44/5.66 => ! [V1q: $i] :
% 5.44/5.66 ( ( mem @ V1q @ bool )
% 5.44/5.66 => ! [V2r: $i] :
% 5.44/5.66 ( ( mem @ V2r @ bool )
% 5.44/5.66 => ( ( ( p @ V0p )
% 5.44/5.66 <=> ( ( p @ V1q )
% 5.44/5.66 <=> ( p @ V2r ) ) )
% 5.44/5.66 <=> ( ( ( p @ V0p )
% 5.44/5.66 | ( p @ V1q )
% 5.44/5.66 | ( p @ V2r ) )
% 5.44/5.66 & ( ( p @ V0p )
% 5.44/5.66 | ~ ( p @ V2r )
% 5.44/5.66 | ~ ( p @ V1q ) )
% 5.44/5.66 & ( ( p @ V1q )
% 5.44/5.66 | ~ ( p @ V2r )
% 5.44/5.66 | ~ ( p @ V0p ) )
% 5.44/5.66 & ( ( p @ V2r )
% 5.44/5.66 | ~ ( p @ V1q )
% 5.44/5.66 | ~ ( p @ V0p ) ) ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Esat_2Edc__conj,axiom,
% 5.44/5.66 ! [V0p: $i] :
% 5.44/5.66 ( ( mem @ V0p @ bool )
% 5.44/5.66 => ! [V1q: $i] :
% 5.44/5.66 ( ( mem @ V1q @ bool )
% 5.44/5.66 => ! [V2r: $i] :
% 5.44/5.66 ( ( mem @ V2r @ bool )
% 5.44/5.66 => ( ( ( p @ V0p )
% 5.44/5.66 <=> ( ( p @ V1q )
% 5.44/5.66 & ( p @ V2r ) ) )
% 5.44/5.66 <=> ( ( ( p @ V0p )
% 5.44/5.66 | ~ ( p @ V1q )
% 5.44/5.66 | ~ ( p @ V2r ) )
% 5.44/5.66 & ( ( p @ V1q )
% 5.44/5.66 | ~ ( p @ V0p ) )
% 5.44/5.66 & ( ( p @ V2r )
% 5.44/5.66 | ~ ( p @ V0p ) ) ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Esat_2Edc__disj,axiom,
% 5.44/5.66 ! [V0p: $i] :
% 5.44/5.66 ( ( mem @ V0p @ bool )
% 5.44/5.66 => ! [V1q: $i] :
% 5.44/5.66 ( ( mem @ V1q @ bool )
% 5.44/5.66 => ! [V2r: $i] :
% 5.44/5.66 ( ( mem @ V2r @ bool )
% 5.44/5.66 => ( ( ( p @ V0p )
% 5.44/5.66 <=> ( ( p @ V1q )
% 5.44/5.66 | ( p @ V2r ) ) )
% 5.44/5.66 <=> ( ( ( p @ V0p )
% 5.44/5.66 | ~ ( p @ V1q ) )
% 5.44/5.66 & ( ( p @ V0p )
% 5.44/5.66 | ~ ( p @ V2r ) )
% 5.44/5.66 & ( ( p @ V1q )
% 5.44/5.66 | ( p @ V2r )
% 5.44/5.66 | ~ ( p @ V0p ) ) ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Esat_2Edc__imp,axiom,
% 5.44/5.66 ! [V0p: $i] :
% 5.44/5.66 ( ( mem @ V0p @ bool )
% 5.44/5.66 => ! [V1q: $i] :
% 5.44/5.66 ( ( mem @ V1q @ bool )
% 5.44/5.66 => ! [V2r: $i] :
% 5.44/5.66 ( ( mem @ V2r @ bool )
% 5.44/5.66 => ( ( ( p @ V0p )
% 5.44/5.66 <=> ( ( p @ V1q )
% 5.44/5.66 => ( p @ V2r ) ) )
% 5.44/5.66 <=> ( ( ( p @ V0p )
% 5.44/5.66 | ( p @ V1q ) )
% 5.44/5.66 & ( ( p @ V0p )
% 5.44/5.66 | ~ ( p @ V2r ) )
% 5.44/5.66 & ( ~ ( p @ V1q )
% 5.44/5.66 | ( p @ V2r )
% 5.44/5.66 | ~ ( p @ V0p ) ) ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Esat_2Edc__neg,axiom,
% 5.44/5.66 ! [V0p: $i] :
% 5.44/5.66 ( ( mem @ V0p @ bool )
% 5.44/5.66 => ! [V1q: $i] :
% 5.44/5.66 ( ( mem @ V1q @ bool )
% 5.44/5.66 => ( ( ( p @ V0p )
% 5.44/5.66 <=> ~ ( p @ V1q ) )
% 5.44/5.66 <=> ( ( ( p @ V0p )
% 5.44/5.66 | ( p @ V1q ) )
% 5.44/5.66 & ( ~ ( p @ V1q )
% 5.44/5.66 | ~ ( p @ V0p ) ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Esat_2Edc__cond,axiom,
% 5.44/5.66 ! [V0p: $i] :
% 5.44/5.66 ( ( mem @ V0p @ bool )
% 5.44/5.66 => ! [V1q: $i] :
% 5.44/5.66 ( ( mem @ V1q @ bool )
% 5.44/5.66 => ! [V2r: $i] :
% 5.44/5.66 ( ( mem @ V2r @ bool )
% 5.44/5.66 => ! [V3s: $i] :
% 5.44/5.66 ( ( mem @ V3s @ bool )
% 5.44/5.66 => ( ( ( p @ V0p )
% 5.44/5.66 <=> ( p @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ bool ) @ V1q ) @ V2r ) @ V3s ) ) )
% 5.44/5.66 <=> ( ( ( p @ V0p )
% 5.44/5.66 | ( p @ V1q )
% 5.44/5.66 | ~ ( p @ V3s ) )
% 5.44/5.66 & ( ( p @ V0p )
% 5.44/5.66 | ~ ( p @ V2r )
% 5.44/5.66 | ~ ( p @ V1q ) )
% 5.44/5.66 & ( ( p @ V0p )
% 5.44/5.66 | ~ ( p @ V2r )
% 5.44/5.66 | ~ ( p @ V3s ) )
% 5.44/5.66 & ( ~ ( p @ V1q )
% 5.44/5.66 | ( p @ V2r )
% 5.44/5.66 | ~ ( p @ V0p ) )
% 5.44/5.66 & ( ( p @ V1q )
% 5.44/5.66 | ( p @ V3s )
% 5.44/5.66 | ~ ( p @ V0p ) ) ) ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Esat_2Epth__ni1,axiom,
% 5.44/5.66 ! [V0p: $i] :
% 5.44/5.66 ( ( mem @ V0p @ bool )
% 5.44/5.66 => ! [V1q: $i] :
% 5.44/5.66 ( ( mem @ V1q @ bool )
% 5.44/5.66 => ( ~ ( ( p @ V0p )
% 5.44/5.66 => ( p @ V1q ) )
% 5.44/5.66 => ( p @ V0p ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Esat_2Epth__ni2,axiom,
% 5.44/5.66 ! [V0p: $i] :
% 5.44/5.66 ( ( mem @ V0p @ bool )
% 5.44/5.66 => ! [V1q: $i] :
% 5.44/5.66 ( ( mem @ V1q @ bool )
% 5.44/5.66 => ( ~ ( ( p @ V0p )
% 5.44/5.66 => ( p @ V1q ) )
% 5.44/5.66 => ~ ( p @ V1q ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Esat_2Epth__no1,axiom,
% 5.44/5.66 ! [V0p: $i] :
% 5.44/5.66 ( ( mem @ V0p @ bool )
% 5.44/5.66 => ! [V1q: $i] :
% 5.44/5.66 ( ( mem @ V1q @ bool )
% 5.44/5.66 => ( ~ ( ( p @ V0p )
% 5.44/5.66 | ( p @ V1q ) )
% 5.44/5.66 => ~ ( p @ V0p ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Esat_2Epth__no2,axiom,
% 5.44/5.66 ! [V0p: $i] :
% 5.44/5.66 ( ( mem @ V0p @ bool )
% 5.44/5.66 => ! [V1q: $i] :
% 5.44/5.66 ( ( mem @ V1q @ bool )
% 5.44/5.66 => ( ~ ( ( p @ V0p )
% 5.44/5.66 | ( p @ V1q ) )
% 5.44/5.66 => ~ ( p @ V1q ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Esat_2Epth__an1,axiom,
% 5.44/5.66 ! [V0p: $i] :
% 5.44/5.66 ( ( mem @ V0p @ bool )
% 5.44/5.66 => ! [V1q: $i] :
% 5.44/5.66 ( ( mem @ V1q @ bool )
% 5.44/5.66 => ( ( ( p @ V0p )
% 5.44/5.66 & ( p @ V1q ) )
% 5.44/5.66 => ( p @ V0p ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Esat_2Epth__an2,axiom,
% 5.44/5.66 ! [V0p: $i] :
% 5.44/5.66 ( ( mem @ V0p @ bool )
% 5.44/5.66 => ! [V1q: $i] :
% 5.44/5.66 ( ( mem @ V1q @ bool )
% 5.44/5.66 => ( ( ( p @ V0p )
% 5.44/5.66 & ( p @ V1q ) )
% 5.44/5.66 => ( p @ V1q ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Esat_2Epth__nn,axiom,
% 5.44/5.66 ! [V0p: $i] :
% 5.44/5.66 ( ( mem @ V0p @ bool )
% 5.44/5.66 => ( ~ ~ ( p @ V0p )
% 5.44/5.66 => ( p @ V0p ) ) ) ).
% 5.44/5.66
% 5.44/5.66 %------------------------------------------------------------------------------
% 5.44/5.66 %------------------------------------------------------------------------------
% 5.44/5.66 thf(tp_c_2EnormalForms_2EEXT__POINT,type,
% 5.44/5.66 c_2EnormalForms_2EEXT__POINT: del > del > $i ).
% 5.44/5.66
% 5.44/5.66 thf(mem_c_2EnormalForms_2EEXT__POINT,axiom,
% 5.44/5.66 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2EnormalForms_2EEXT__POINT @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ A_27b ) @ A_27a ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(tp_c_2EnormalForms_2EUNIV__POINT,type,
% 5.44/5.66 c_2EnormalForms_2EUNIV__POINT: del > $i ).
% 5.44/5.66
% 5.44/5.66 thf(mem_c_2EnormalForms_2EUNIV__POINT,axiom,
% 5.44/5.66 ! [A_27a: del] : ( mem @ ( c_2EnormalForms_2EUNIV__POINT @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ A_27a ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(ax_thm_2EnormalForms_2EEXT__POINT__DEF,axiom,
% 5.44/5.66 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.66 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.66 => ! [V1g: $i] :
% 5.44/5.66 ( ( mem @ V1g @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.66 => ( ( ( ap @ V0f @ ( ap @ ( ap @ ( c_2EnormalForms_2EEXT__POINT @ A_27a @ A_27b ) @ V0f ) @ V1g ) )
% 5.44/5.66 = ( ap @ V1g @ ( ap @ ( ap @ ( c_2EnormalForms_2EEXT__POINT @ A_27a @ A_27b ) @ V0f ) @ V1g ) ) )
% 5.44/5.66 => ( V0f = V1g ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2EnormalForms_2EEXT__POINT,axiom,
% 5.44/5.66 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.66 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.66 => ! [V1g: $i] :
% 5.44/5.66 ( ( mem @ V1g @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.66 => ( ( ( ap @ V0f @ ( ap @ ( ap @ ( c_2EnormalForms_2EEXT__POINT @ A_27a @ A_27b ) @ V0f ) @ V1g ) )
% 5.44/5.66 = ( ap @ V1g @ ( ap @ ( ap @ ( c_2EnormalForms_2EEXT__POINT @ A_27a @ A_27b ) @ V0f ) @ V1g ) ) )
% 5.44/5.66 <=> ( V0f = V1g ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(ax_thm_2EnormalForms_2EUNIV__POINT__DEF,axiom,
% 5.44/5.66 ! [A_27a: del,V0p: $i] :
% 5.44/5.66 ( ( mem @ V0p @ ( arr @ A_27a @ bool ) )
% 5.44/5.66 => ( ( p @ ( ap @ V0p @ ( ap @ ( c_2EnormalForms_2EUNIV__POINT @ A_27a ) @ V0p ) ) )
% 5.44/5.66 => ! [V1x: $i] :
% 5.44/5.66 ( ( mem @ V1x @ A_27a )
% 5.44/5.66 => ( p @ ( ap @ V0p @ V1x ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2EnormalForms_2EUNIV__POINT,axiom,
% 5.44/5.66 ! [A_27a: del,V0p: $i] :
% 5.44/5.66 ( ( mem @ V0p @ ( arr @ A_27a @ bool ) )
% 5.44/5.66 => ( ( p @ ( ap @ V0p @ ( ap @ ( c_2EnormalForms_2EUNIV__POINT @ A_27a ) @ V0p ) ) )
% 5.44/5.66 <=> ! [V1x: $i] :
% 5.44/5.66 ( ( mem @ V1x @ A_27a )
% 5.44/5.66 => ( p @ ( ap @ V0p @ V1x ) ) ) ) ) ).
% 5.44/5.66
% 5.44/5.66 %------------------------------------------------------------------------------
% 5.44/5.66 %------------------------------------------------------------------------------
% 5.44/5.66 thf(tp_c_2Emarker_2E_3A_2D,type,
% 5.44/5.66 c_2Emarker_2E_3A_2D: $i ).
% 5.44/5.66
% 5.44/5.66 thf(mem_c_2Emarker_2E_3A_2D,axiom,
% 5.44/5.66 mem @ c_2Emarker_2E_3A_2D @ ( arr @ ind @ ( arr @ bool @ bool ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(tp_c_2Emarker_2EAC,type,
% 5.44/5.66 c_2Emarker_2EAC: $i ).
% 5.44/5.66
% 5.44/5.66 thf(mem_c_2Emarker_2EAC,axiom,
% 5.44/5.66 mem @ c_2Emarker_2EAC @ ( arr @ bool @ ( arr @ bool @ bool ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(tp_c_2Emarker_2EAbbrev,type,
% 5.44/5.66 c_2Emarker_2EAbbrev: $i ).
% 5.44/5.66
% 5.44/5.66 thf(mem_c_2Emarker_2EAbbrev,axiom,
% 5.44/5.66 mem @ c_2Emarker_2EAbbrev @ ( arr @ bool @ bool ) ).
% 5.44/5.66
% 5.44/5.66 thf(tp_c_2Emarker_2ECong,type,
% 5.44/5.66 c_2Emarker_2ECong: $i ).
% 5.44/5.66
% 5.44/5.66 thf(mem_c_2Emarker_2ECong,axiom,
% 5.44/5.66 mem @ c_2Emarker_2ECong @ ( arr @ bool @ bool ) ).
% 5.44/5.66
% 5.44/5.66 thf(tp_c_2Emarker_2EIfCases,type,
% 5.44/5.66 c_2Emarker_2EIfCases: $i ).
% 5.44/5.66
% 5.44/5.66 thf(mem_c_2Emarker_2EIfCases,axiom,
% 5.44/5.66 mem @ c_2Emarker_2EIfCases @ bool ).
% 5.44/5.66
% 5.44/5.66 thf(tp_c_2Emarker_2Estmarker,type,
% 5.44/5.66 c_2Emarker_2Estmarker: del > $i ).
% 5.44/5.66
% 5.44/5.66 thf(mem_c_2Emarker_2Estmarker,axiom,
% 5.44/5.66 ! [A_27a: del] : ( mem @ ( c_2Emarker_2Estmarker @ A_27a ) @ ( arr @ A_27a @ A_27a ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(tp_c_2Emarker_2Eunint,type,
% 5.44/5.66 c_2Emarker_2Eunint: del > $i ).
% 5.44/5.66
% 5.44/5.66 thf(mem_c_2Emarker_2Eunint,axiom,
% 5.44/5.66 ! [A_27a: del] : ( mem @ ( c_2Emarker_2Eunint @ A_27a ) @ ( arr @ A_27a @ A_27a ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(ax_thm_2Emarker_2Estmarker__def,axiom,
% 5.44/5.66 ! [A_27a: del,V0x: $i] :
% 5.44/5.66 ( ( mem @ V0x @ A_27a )
% 5.44/5.66 => ( ( ap @ ( c_2Emarker_2Estmarker @ A_27a ) @ V0x )
% 5.44/5.66 = V0x ) ) ).
% 5.44/5.66
% 5.44/5.66 thf(conj_thm_2Emarker_2Emove__left__conj,axiom,
% 5.44/5.66 ! [V0p: $i] :
% 5.44/5.66 ( ( mem @ V0p @ bool )
% 5.44/5.66 => ! [V1q: $i] :
% 5.44/5.66 ( ( mem @ V1q @ bool )
% 5.44/5.66 => ! [V2m: $i] :
% 5.44/5.66 ( ( mem @ V2m @ bool )
% 5.44/5.66 => ( ( ( ( p @ V0p )
% 5.44/5.66 & ( p @ ( ap @ ( c_2Emarker_2Estmarker @ bool ) @ V2m ) ) )
% 5.44/5.66 <=> ( ( p @ ( ap @ ( c_2Emarker_2Estmarker @ bool ) @ V2m ) )
% 5.44/5.67 & ( p @ V0p ) ) )
% 5.44/5.67 & ( ( ( p @ ( ap @ ( c_2Emarker_2Estmarker @ bool ) @ V2m ) )
% 5.44/5.67 & ( p @ V0p )
% 5.44/5.67 & ( p @ V1q ) )
% 5.44/5.67 <=> ( ( p @ ( ap @ ( c_2Emarker_2Estmarker @ bool ) @ V2m ) )
% 5.44/5.67 & ( p @ V0p )
% 5.44/5.67 & ( p @ V1q ) ) )
% 5.44/5.67 & ( ( ( p @ V0p )
% 5.44/5.67 & ( p @ ( ap @ ( c_2Emarker_2Estmarker @ bool ) @ V2m ) )
% 5.44/5.67 & ( p @ V1q ) )
% 5.44/5.67 <=> ( ( p @ ( ap @ ( c_2Emarker_2Estmarker @ bool ) @ V2m ) )
% 5.44/5.67 & ( p @ V0p )
% 5.44/5.67 & ( p @ V1q ) ) ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Emarker_2Emove__right__conj,axiom,
% 5.44/5.67 ! [V0p: $i] :
% 5.44/5.67 ( ( mem @ V0p @ bool )
% 5.44/5.67 => ! [V1q: $i] :
% 5.44/5.67 ( ( mem @ V1q @ bool )
% 5.44/5.67 => ! [V2m: $i] :
% 5.44/5.67 ( ( mem @ V2m @ bool )
% 5.44/5.67 => ( ( ( ( p @ ( ap @ ( c_2Emarker_2Estmarker @ bool ) @ V2m ) )
% 5.44/5.67 & ( p @ V0p ) )
% 5.44/5.67 <=> ( ( p @ V0p )
% 5.44/5.67 & ( p @ ( ap @ ( c_2Emarker_2Estmarker @ bool ) @ V2m ) ) ) )
% 5.44/5.67 & ( ( ( p @ V0p )
% 5.44/5.67 & ( p @ V1q )
% 5.44/5.67 & ( p @ ( ap @ ( c_2Emarker_2Estmarker @ bool ) @ V2m ) ) )
% 5.44/5.67 <=> ( ( p @ V0p )
% 5.44/5.67 & ( p @ V1q )
% 5.44/5.67 & ( p @ ( ap @ ( c_2Emarker_2Estmarker @ bool ) @ V2m ) ) ) )
% 5.44/5.67 & ( ( ( p @ V0p )
% 5.44/5.67 & ( p @ ( ap @ ( c_2Emarker_2Estmarker @ bool ) @ V2m ) )
% 5.44/5.67 & ( p @ V1q ) )
% 5.44/5.67 <=> ( ( p @ V0p )
% 5.44/5.67 & ( p @ V1q )
% 5.44/5.67 & ( p @ ( ap @ ( c_2Emarker_2Estmarker @ bool ) @ V2m ) ) ) ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Emarker_2Emove__left__disj,axiom,
% 5.44/5.67 ! [V0p: $i] :
% 5.44/5.67 ( ( mem @ V0p @ bool )
% 5.44/5.67 => ! [V1q: $i] :
% 5.44/5.67 ( ( mem @ V1q @ bool )
% 5.44/5.67 => ! [V2m: $i] :
% 5.44/5.67 ( ( mem @ V2m @ bool )
% 5.44/5.67 => ( ( ( ( p @ V0p )
% 5.44/5.67 | ( p @ ( ap @ ( c_2Emarker_2Estmarker @ bool ) @ V2m ) ) )
% 5.44/5.67 <=> ( ( p @ ( ap @ ( c_2Emarker_2Estmarker @ bool ) @ V2m ) )
% 5.44/5.67 | ( p @ V0p ) ) )
% 5.44/5.67 & ( ( ( p @ ( ap @ ( c_2Emarker_2Estmarker @ bool ) @ V2m ) )
% 5.44/5.67 | ( p @ V0p )
% 5.44/5.67 | ( p @ V1q ) )
% 5.44/5.67 <=> ( ( p @ ( ap @ ( c_2Emarker_2Estmarker @ bool ) @ V2m ) )
% 5.44/5.67 | ( p @ V0p )
% 5.44/5.67 | ( p @ V1q ) ) )
% 5.44/5.67 & ( ( ( p @ V0p )
% 5.44/5.67 | ( p @ ( ap @ ( c_2Emarker_2Estmarker @ bool ) @ V2m ) )
% 5.44/5.67 | ( p @ V1q ) )
% 5.44/5.67 <=> ( ( p @ ( ap @ ( c_2Emarker_2Estmarker @ bool ) @ V2m ) )
% 5.44/5.67 | ( p @ V0p )
% 5.44/5.67 | ( p @ V1q ) ) ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Emarker_2Emove__right__disj,axiom,
% 5.44/5.67 ! [V0p: $i] :
% 5.44/5.67 ( ( mem @ V0p @ bool )
% 5.44/5.67 => ! [V1q: $i] :
% 5.44/5.67 ( ( mem @ V1q @ bool )
% 5.44/5.67 => ! [V2m: $i] :
% 5.44/5.67 ( ( mem @ V2m @ bool )
% 5.44/5.67 => ( ( ( ( p @ ( ap @ ( c_2Emarker_2Estmarker @ bool ) @ V2m ) )
% 5.44/5.67 | ( p @ V0p ) )
% 5.44/5.67 <=> ( ( p @ V0p )
% 5.44/5.67 | ( p @ ( ap @ ( c_2Emarker_2Estmarker @ bool ) @ V2m ) ) ) )
% 5.44/5.67 & ( ( ( p @ V0p )
% 5.44/5.67 | ( p @ V1q )
% 5.44/5.67 | ( p @ ( ap @ ( c_2Emarker_2Estmarker @ bool ) @ V2m ) ) )
% 5.44/5.67 <=> ( ( p @ V0p )
% 5.44/5.67 | ( p @ V1q )
% 5.44/5.67 | ( p @ ( ap @ ( c_2Emarker_2Estmarker @ bool ) @ V2m ) ) ) )
% 5.44/5.67 & ( ( ( p @ V0p )
% 5.44/5.67 | ( p @ ( ap @ ( c_2Emarker_2Estmarker @ bool ) @ V2m ) )
% 5.44/5.67 | ( p @ V1q ) )
% 5.44/5.67 <=> ( ( p @ V0p )
% 5.44/5.67 | ( p @ V1q )
% 5.44/5.67 | ( p @ ( ap @ ( c_2Emarker_2Estmarker @ bool ) @ V2m ) ) ) ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(ax_thm_2Emarker_2Eunint__def,axiom,
% 5.44/5.67 ! [A_27a: del,V0x: $i] :
% 5.44/5.67 ( ( mem @ V0x @ A_27a )
% 5.44/5.67 => ( ( ap @ ( c_2Emarker_2Eunint @ A_27a ) @ V0x )
% 5.44/5.67 = V0x ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(ax_thm_2Emarker_2EAbbrev__def,axiom,
% 5.44/5.67 ! [V0x: $i] :
% 5.44/5.67 ( ( mem @ V0x @ bool )
% 5.44/5.67 => ( ( p @ ( ap @ c_2Emarker_2EAbbrev @ V0x ) )
% 5.44/5.67 <=> ( p @ V0x ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(ax_thm_2Emarker_2EIfCases__def,axiom,
% 5.44/5.67 ( ( p @ c_2Emarker_2EIfCases )
% 5.44/5.67 <=> $true ) ).
% 5.44/5.67
% 5.44/5.67 thf(ax_thm_2Emarker_2EAC__DEF,axiom,
% 5.44/5.67 ! [V0b1: $i] :
% 5.44/5.67 ( ( mem @ V0b1 @ bool )
% 5.44/5.67 => ! [V1b2: $i] :
% 5.44/5.67 ( ( mem @ V1b2 @ bool )
% 5.44/5.67 => ( ( p @ ( ap @ ( ap @ c_2Emarker_2EAC @ V0b1 ) @ V1b2 ) )
% 5.44/5.67 <=> ( ( p @ V0b1 )
% 5.44/5.67 & ( p @ V1b2 ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(ax_thm_2Emarker_2ECong__def,axiom,
% 5.44/5.67 ! [V0x: $i] :
% 5.44/5.67 ( ( mem @ V0x @ bool )
% 5.44/5.67 => ( ( p @ ( ap @ c_2Emarker_2ECong @ V0x ) )
% 5.44/5.67 <=> ( p @ V0x ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(ax_thm_2Emarker_2Elabel__def,axiom,
% 5.44/5.67 ! [V0lab: tp__i,V1argument: $i] :
% 5.44/5.67 ( ( mem @ V1argument @ bool )
% 5.44/5.67 => ( ( p @ ( ap @ ( ap @ c_2Emarker_2E_3A_2D @ ( inj__i @ V0lab ) ) @ V1argument ) )
% 5.44/5.67 <=> ( p @ V1argument ) ) ) ).
% 5.44/5.67
% 5.44/5.67 %------------------------------------------------------------------------------
% 5.44/5.67 %------------------------------------------------------------------------------
% 5.44/5.67 thf(tp_c_2Ecombin_2E_3A_3E,type,
% 5.44/5.67 c_2Ecombin_2E_3A_3E: del > del > $i ).
% 5.44/5.67
% 5.44/5.67 thf(mem_c_2Ecombin_2E_3A_3E,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Ecombin_2E_3A_3E @ A_27a @ A_27b ) @ ( arr @ A_27b @ ( arr @ ( arr @ A_27b @ A_27a ) @ A_27a ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(tp_c_2Ecombin_2EASSOC,type,
% 5.44/5.67 c_2Ecombin_2EASSOC: del > $i ).
% 5.44/5.67
% 5.44/5.67 thf(mem_c_2Ecombin_2EASSOC,axiom,
% 5.44/5.67 ! [A_27a: del] : ( mem @ ( c_2Ecombin_2EASSOC @ A_27a ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ bool ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(tp_c_2Ecombin_2EC,type,
% 5.44/5.67 c_2Ecombin_2EC: del > del > del > $i ).
% 5.44/5.67
% 5.44/5.67 thf(mem_c_2Ecombin_2EC,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del,A_27c: del] : ( mem @ ( c_2Ecombin_2EC @ A_27a @ A_27b @ A_27c ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27b @ A_27c ) ) @ ( arr @ A_27b @ ( arr @ A_27a @ A_27c ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(tp_c_2Ecombin_2ECOMM,type,
% 5.44/5.67 c_2Ecombin_2ECOMM: del > del > $i ).
% 5.44/5.67
% 5.44/5.67 thf(mem_c_2Ecombin_2ECOMM,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Ecombin_2ECOMM @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27b ) ) @ bool ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(tp_c_2Ecombin_2EFAIL,type,
% 5.44/5.67 c_2Ecombin_2EFAIL: del > del > $i ).
% 5.44/5.67
% 5.44/5.67 thf(mem_c_2Ecombin_2EFAIL,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Ecombin_2EFAIL @ A_27a @ A_27b ) @ ( arr @ A_27a @ ( arr @ A_27b @ A_27a ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(tp_c_2Ecombin_2EFCOMM,type,
% 5.44/5.67 c_2Ecombin_2EFCOMM: del > del > del > $i ).
% 5.44/5.67
% 5.44/5.67 thf(mem_c_2Ecombin_2EFCOMM,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del,A_27c: del] : ( mem @ ( c_2Ecombin_2EFCOMM @ A_27a @ A_27b @ A_27c ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27b @ A_27a ) ) @ ( arr @ ( arr @ A_27c @ ( arr @ A_27a @ A_27a ) ) @ bool ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(tp_c_2Ecombin_2EI,type,
% 5.44/5.67 c_2Ecombin_2EI: del > $i ).
% 5.44/5.67
% 5.44/5.67 thf(mem_c_2Ecombin_2EI,axiom,
% 5.44/5.67 ! [A_27a: del] : ( mem @ ( c_2Ecombin_2EI @ A_27a ) @ ( arr @ A_27a @ A_27a ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(tp_c_2Ecombin_2EK,type,
% 5.44/5.67 c_2Ecombin_2EK: del > del > $i ).
% 5.44/5.67
% 5.44/5.67 thf(mem_c_2Ecombin_2EK,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Ecombin_2EK @ A_27a @ A_27b ) @ ( arr @ A_27a @ ( arr @ A_27b @ A_27a ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(tp_c_2Ecombin_2ELEFT__ID,type,
% 5.44/5.67 c_2Ecombin_2ELEFT__ID: del > del > $i ).
% 5.44/5.67
% 5.44/5.67 thf(mem_c_2Ecombin_2ELEFT__ID,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Ecombin_2ELEFT__ID @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27b @ A_27b ) ) @ ( arr @ A_27a @ bool ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(tp_c_2Ecombin_2EMONOID,type,
% 5.44/5.67 c_2Ecombin_2EMONOID: del > $i ).
% 5.44/5.67
% 5.44/5.67 thf(mem_c_2Ecombin_2EMONOID,axiom,
% 5.44/5.67 ! [A_27a: del] : ( mem @ ( c_2Ecombin_2EMONOID @ A_27a ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ bool ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(tp_c_2Ecombin_2ERIGHT__ID,type,
% 5.44/5.67 c_2Ecombin_2ERIGHT__ID: del > del > $i ).
% 5.44/5.67
% 5.44/5.67 thf(mem_c_2Ecombin_2ERIGHT__ID,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Ecombin_2ERIGHT__ID @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27b @ A_27a ) ) @ ( arr @ A_27b @ bool ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(tp_c_2Ecombin_2ES,type,
% 5.44/5.67 c_2Ecombin_2ES: del > del > del > $i ).
% 5.44/5.67
% 5.44/5.67 thf(mem_c_2Ecombin_2ES,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del,A_27c: del] : ( mem @ ( c_2Ecombin_2ES @ A_27a @ A_27b @ A_27c ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27b @ A_27c ) ) @ ( arr @ ( arr @ A_27a @ A_27b ) @ ( arr @ A_27a @ A_27c ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(tp_c_2Ecombin_2EUPDATE,type,
% 5.44/5.67 c_2Ecombin_2EUPDATE: del > del > $i ).
% 5.44/5.67
% 5.44/5.67 thf(mem_c_2Ecombin_2EUPDATE,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Ecombin_2EUPDATE @ A_27a @ A_27b ) @ ( arr @ A_27a @ ( arr @ A_27b @ ( arr @ ( arr @ A_27a @ A_27b ) @ ( arr @ A_27a @ A_27b ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(tp_c_2Ecombin_2EW,type,
% 5.44/5.67 c_2Ecombin_2EW: del > del > $i ).
% 5.44/5.67
% 5.44/5.67 thf(mem_c_2Ecombin_2EW,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Ecombin_2EW @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27b ) ) @ ( arr @ A_27a @ A_27b ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(tp_c_2Ecombin_2Eo,type,
% 5.44/5.67 c_2Ecombin_2Eo: del > del > del > $i ).
% 5.44/5.67
% 5.44/5.67 thf(mem_c_2Ecombin_2Eo,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del,A_27c: del] : ( mem @ ( c_2Ecombin_2Eo @ A_27a @ A_27b @ A_27c ) @ ( arr @ ( arr @ A_27c @ A_27b ) @ ( arr @ ( arr @ A_27a @ A_27c ) @ ( arr @ A_27a @ A_27b ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(ax_thm_2Ecombin_2EK__DEF,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del] :
% 5.44/5.67 ( ( c_2Ecombin_2EK @ A_27a @ A_27b )
% 5.44/5.67 = ( lam @ A_27a
% 5.44/5.67 @ ^ [V0x: $i] :
% 5.44/5.67 ( lam @ A_27b
% 5.44/5.67 @ ^ [V1y: $i] : V0x ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(ax_thm_2Ecombin_2ES__DEF,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del,A_27c: del] :
% 5.44/5.67 ( ( c_2Ecombin_2ES @ A_27a @ A_27b @ A_27c )
% 5.44/5.67 = ( lam @ ( arr @ A_27a @ ( arr @ A_27b @ A_27c ) )
% 5.44/5.67 @ ^ [V0f: $i] :
% 5.44/5.67 ( lam @ ( arr @ A_27a @ A_27b )
% 5.44/5.67 @ ^ [V1g: $i] :
% 5.44/5.67 ( lam @ A_27a
% 5.44/5.67 @ ^ [V2x: $i] : ( ap @ ( ap @ V0f @ V2x ) @ ( ap @ V1g @ V2x ) ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(ax_thm_2Ecombin_2EI__DEF,axiom,
% 5.44/5.67 ! [A_27a: del] :
% 5.44/5.67 ( ( c_2Ecombin_2EI @ A_27a )
% 5.44/5.67 = ( ap @ ( ap @ ( c_2Ecombin_2ES @ A_27a @ ( arr @ A_27a @ A_27a ) @ A_27a ) @ ( c_2Ecombin_2EK @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) @ ( c_2Ecombin_2EK @ A_27a @ A_27a ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(ax_thm_2Ecombin_2EC__DEF,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del,A_27c: del] :
% 5.44/5.67 ( ( c_2Ecombin_2EC @ A_27a @ A_27b @ A_27c )
% 5.44/5.67 = ( lam @ ( arr @ A_27a @ ( arr @ A_27b @ A_27c ) )
% 5.44/5.67 @ ^ [V0f: $i] :
% 5.44/5.67 ( lam @ A_27b
% 5.44/5.67 @ ^ [V1x: $i] :
% 5.44/5.67 ( lam @ A_27a
% 5.44/5.67 @ ^ [V2y: $i] : ( ap @ ( ap @ V0f @ V2y ) @ V1x ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(ax_thm_2Ecombin_2EW__DEF,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del] :
% 5.44/5.67 ( ( c_2Ecombin_2EW @ A_27a @ A_27b )
% 5.44/5.67 = ( lam @ ( arr @ A_27a @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.67 @ ^ [V0f: $i] :
% 5.44/5.67 ( lam @ A_27a
% 5.44/5.67 @ ^ [V1x: $i] : ( ap @ ( ap @ V0f @ V1x ) @ V1x ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(ax_thm_2Ecombin_2Eo__DEF,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.44/5.67 ( ( mem @ V0f @ ( arr @ A_27c @ A_27b ) )
% 5.44/5.67 => ! [V1g: $i] :
% 5.44/5.67 ( ( mem @ V1g @ ( arr @ A_27a @ A_27c ) )
% 5.44/5.67 => ( ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27a @ A_27b @ A_27c ) @ V0f ) @ V1g )
% 5.44/5.67 = ( lam @ A_27a
% 5.44/5.67 @ ^ [V2x: $i] : ( ap @ V0f @ ( ap @ V1g @ V2x ) ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(ax_thm_2Ecombin_2EAPP__DEF,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del,V0x: $i] :
% 5.44/5.67 ( ( mem @ V0x @ A_27b )
% 5.44/5.67 => ! [V1f: $i] :
% 5.44/5.67 ( ( mem @ V1f @ ( arr @ A_27b @ A_27a ) )
% 5.44/5.67 => ( ( ap @ ( ap @ ( c_2Ecombin_2E_3A_3E @ A_27a @ A_27b ) @ V0x ) @ V1f )
% 5.44/5.67 = ( ap @ V1f @ V0x ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(ax_thm_2Ecombin_2EUPDATE__def,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del,V0a: $i] :
% 5.44/5.67 ( ( mem @ V0a @ A_27a )
% 5.44/5.67 => ! [V1b: $i] :
% 5.44/5.67 ( ( mem @ V1b @ A_27b )
% 5.44/5.67 => ( ( ap @ ( ap @ ( c_2Ecombin_2EUPDATE @ A_27a @ A_27b ) @ V0a ) @ V1b )
% 5.44/5.67 = ( lam @ ( arr @ A_27a @ A_27b )
% 5.44/5.67 @ ^ [V2f: $i] :
% 5.44/5.67 ( lam @ A_27a
% 5.44/5.67 @ ^ [V3c: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ A_27b ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V0a ) @ V3c ) ) @ V1b ) @ ( ap @ V2f @ V3c ) ) ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Ecombin_2Eo__THM,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.44/5.67 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.67 => ! [V1g: $i] :
% 5.44/5.67 ( ( mem @ V1g @ ( arr @ A_27c @ A_27a ) )
% 5.44/5.67 => ! [V2x: $i] :
% 5.44/5.67 ( ( mem @ V2x @ A_27c )
% 5.44/5.67 => ( ( ap @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27c @ A_27b @ A_27a ) @ V0f ) @ V1g ) @ V2x )
% 5.44/5.67 = ( ap @ V0f @ ( ap @ V1g @ V2x ) ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Ecombin_2Eo__ASSOC,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0f: $i] :
% 5.44/5.67 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.67 => ! [V1g: $i] :
% 5.44/5.67 ( ( mem @ V1g @ ( arr @ A_27c @ A_27a ) )
% 5.44/5.67 => ! [V2h: $i] :
% 5.44/5.67 ( ( mem @ V2h @ ( arr @ A_27d @ A_27c ) )
% 5.44/5.67 => ( ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27d @ A_27b @ A_27a ) @ V0f ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27d @ A_27a @ A_27c ) @ V1g ) @ V2h ) )
% 5.44/5.67 = ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27d @ A_27b @ A_27c ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27c @ A_27b @ A_27a ) @ V0f ) @ V1g ) ) @ V2h ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Ecombin_2Eo__ABS__L,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.44/5.67 ( ( mem @ V0f @ ( arr @ A_27a @ A_27c ) )
% 5.44/5.67 => ! [V1g: $i] :
% 5.44/5.67 ( ( mem @ V1g @ ( arr @ A_27b @ A_27a ) )
% 5.44/5.67 => ( ( ap
% 5.44/5.67 @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ A_27c @ A_27a )
% 5.44/5.67 @ ( lam @ A_27a
% 5.44/5.67 @ ^ [V2x: $i] : ( ap @ V0f @ V2x ) ) )
% 5.44/5.67 @ V1g )
% 5.44/5.67 = ( lam @ A_27b
% 5.44/5.67 @ ^ [V3x: $i] : ( ap @ V0f @ ( ap @ V1g @ V3x ) ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Ecombin_2Eo__ABS__R,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.44/5.67 ( ( mem @ V0f @ ( arr @ A_27c @ A_27b ) )
% 5.44/5.67 => ! [V1g: $i] :
% 5.44/5.67 ( ( mem @ V1g @ ( arr @ A_27a @ A_27c ) )
% 5.44/5.67 => ( ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27a @ A_27b @ A_27c ) @ V0f )
% 5.44/5.67 @ ( lam @ A_27a
% 5.44/5.67 @ ^ [V2x: $i] : ( ap @ V1g @ V2x ) ) )
% 5.44/5.67 = ( lam @ A_27a
% 5.44/5.67 @ ^ [V3x: $i] : ( ap @ V0f @ ( ap @ V1g @ V3x ) ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Ecombin_2EK__THM,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del,V0x: $i] :
% 5.44/5.67 ( ( mem @ V0x @ A_27a )
% 5.44/5.67 => ! [V1y: $i] :
% 5.44/5.67 ( ( mem @ V1y @ A_27b )
% 5.44/5.67 => ( ( ap @ ( ap @ ( c_2Ecombin_2EK @ A_27a @ A_27b ) @ V0x ) @ V1y )
% 5.44/5.67 = V0x ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Ecombin_2ES__THM,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.44/5.67 ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27b @ A_27c ) ) )
% 5.44/5.67 => ! [V1g: $i] :
% 5.44/5.67 ( ( mem @ V1g @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.67 => ! [V2x: $i] :
% 5.44/5.67 ( ( mem @ V2x @ A_27a )
% 5.44/5.67 => ( ( ap @ ( ap @ ( ap @ ( c_2Ecombin_2ES @ A_27a @ A_27b @ A_27c ) @ V0f ) @ V1g ) @ V2x )
% 5.44/5.67 = ( ap @ ( ap @ V0f @ V2x ) @ ( ap @ V1g @ V2x ) ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Ecombin_2ES__ABS__L,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.44/5.67 ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27c @ A_27b ) ) )
% 5.44/5.67 => ! [V1g: $i] :
% 5.44/5.67 ( ( mem @ V1g @ ( arr @ A_27a @ A_27c ) )
% 5.44/5.67 => ( ( ap
% 5.44/5.67 @ ( ap @ ( c_2Ecombin_2ES @ A_27a @ A_27c @ A_27b )
% 5.44/5.67 @ ( lam @ A_27a
% 5.44/5.67 @ ^ [V2x: $i] : ( ap @ V0f @ V2x ) ) )
% 5.44/5.67 @ V1g )
% 5.44/5.67 = ( lam @ A_27a
% 5.44/5.67 @ ^ [V3x: $i] : ( ap @ ( ap @ V0f @ V3x ) @ ( ap @ V1g @ V3x ) ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Ecombin_2ES__ABS__R,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.44/5.67 ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27c @ A_27b ) ) )
% 5.44/5.67 => ! [V1g: $i] :
% 5.44/5.67 ( ( mem @ V1g @ ( arr @ A_27a @ A_27c ) )
% 5.44/5.67 => ( ( ap @ ( ap @ ( c_2Ecombin_2ES @ A_27a @ A_27c @ A_27b ) @ V0f )
% 5.44/5.67 @ ( lam @ A_27a
% 5.44/5.67 @ ^ [V2x: $i] : ( ap @ V1g @ V2x ) ) )
% 5.44/5.67 = ( lam @ A_27a
% 5.44/5.67 @ ^ [V3x: $i] : ( ap @ ( ap @ V0f @ V3x ) @ ( ap @ V1g @ V3x ) ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Ecombin_2EC__THM,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.44/5.67 ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27b @ A_27c ) ) )
% 5.44/5.67 => ! [V1x: $i] :
% 5.44/5.67 ( ( mem @ V1x @ A_27b )
% 5.44/5.67 => ! [V2y: $i] :
% 5.44/5.67 ( ( mem @ V2y @ A_27a )
% 5.44/5.67 => ( ( ap @ ( ap @ ( ap @ ( c_2Ecombin_2EC @ A_27a @ A_27b @ A_27c ) @ V0f ) @ V1x ) @ V2y )
% 5.44/5.67 = ( ap @ ( ap @ V0f @ V2y ) @ V1x ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Ecombin_2EC__ABS__L,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.44/5.67 ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27c @ A_27b ) ) )
% 5.44/5.67 => ! [V1y: $i] :
% 5.44/5.67 ( ( mem @ V1y @ A_27c )
% 5.44/5.67 => ( ( ap
% 5.44/5.67 @ ( ap @ ( c_2Ecombin_2EC @ A_27a @ A_27c @ A_27b )
% 5.44/5.67 @ ( lam @ A_27a
% 5.44/5.67 @ ^ [V2x: $i] : ( ap @ V0f @ V2x ) ) )
% 5.44/5.67 @ V1y )
% 5.44/5.67 = ( lam @ A_27a
% 5.44/5.67 @ ^ [V3x: $i] : ( ap @ ( ap @ V0f @ V3x ) @ V1y ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Ecombin_2EW__THM,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.67 ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27a @ A_27b ) ) )
% 5.44/5.67 => ! [V1x: $i] :
% 5.44/5.67 ( ( mem @ V1x @ A_27a )
% 5.44/5.67 => ( ( ap @ ( ap @ ( c_2Ecombin_2EW @ A_27a @ A_27b ) @ V0f ) @ V1x )
% 5.44/5.67 = ( ap @ ( ap @ V0f @ V1x ) @ V1x ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Ecombin_2EI__THM,axiom,
% 5.44/5.67 ! [A_27a: del,V0x: $i] :
% 5.44/5.67 ( ( mem @ V0x @ A_27a )
% 5.44/5.67 => ( ( ap @ ( c_2Ecombin_2EI @ A_27a ) @ V0x )
% 5.44/5.67 = V0x ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Ecombin_2EI__o__ID,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.67 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.67 => ( ( ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27a @ A_27b @ A_27b ) @ ( c_2Ecombin_2EI @ A_27b ) ) @ V0f )
% 5.44/5.67 = V0f )
% 5.44/5.67 & ( ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27a @ A_27b @ A_27a ) @ V0f ) @ ( c_2Ecombin_2EI @ A_27a ) )
% 5.44/5.67 = V0f ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Ecombin_2EK__o__THM,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,A_27e: del,A_27f: del] :
% 5.44/5.67 ( ! [V0f: $i] :
% 5.44/5.67 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.67 => ! [V1v: $i] :
% 5.44/5.67 ( ( mem @ V1v @ A_27c )
% 5.44/5.67 => ( ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27a @ A_27c @ A_27b ) @ ( ap @ ( c_2Ecombin_2EK @ A_27c @ A_27b ) @ V1v ) ) @ V0f )
% 5.44/5.67 = ( ap @ ( c_2Ecombin_2EK @ A_27c @ A_27a ) @ V1v ) ) ) )
% 5.44/5.67 & ! [V2f: $i] :
% 5.44/5.67 ( ( mem @ V2f @ ( arr @ A_27d @ A_27e ) )
% 5.44/5.67 => ! [V3v: $i] :
% 5.44/5.67 ( ( mem @ V3v @ A_27d )
% 5.44/5.67 => ( ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27f @ A_27e @ A_27d ) @ V2f ) @ ( ap @ ( c_2Ecombin_2EK @ A_27d @ A_27f ) @ V3v ) )
% 5.44/5.67 = ( ap @ ( c_2Ecombin_2EK @ A_27e @ A_27f ) @ ( ap @ V2f @ V3v ) ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Ecombin_2EUPDATE__APPLY,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del] :
% 5.44/5.67 ( ! [V0a: $i] :
% 5.44/5.67 ( ( mem @ V0a @ A_27a )
% 5.44/5.67 => ! [V1x: $i] :
% 5.44/5.67 ( ( mem @ V1x @ A_27b )
% 5.44/5.67 => ! [V2f: $i] :
% 5.44/5.67 ( ( mem @ V2f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.67 => ( ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Ecombin_2EUPDATE @ A_27a @ A_27b ) @ V0a ) @ V1x ) @ V2f ) @ V0a )
% 5.44/5.67 = V1x ) ) ) )
% 5.44/5.67 & ! [V3a: $i] :
% 5.44/5.67 ( ( mem @ V3a @ A_27c )
% 5.44/5.67 => ! [V4b: $i] :
% 5.44/5.67 ( ( mem @ V4b @ A_27c )
% 5.44/5.67 => ! [V5x: $i] :
% 5.44/5.67 ( ( mem @ V5x @ A_27d )
% 5.44/5.67 => ! [V6f: $i] :
% 5.44/5.67 ( ( mem @ V6f @ ( arr @ A_27c @ A_27d ) )
% 5.44/5.67 => ( ( V3a != V4b )
% 5.44/5.67 => ( ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Ecombin_2EUPDATE @ A_27c @ A_27d ) @ V3a ) @ V5x ) @ V6f ) @ V4b )
% 5.44/5.67 = ( ap @ V6f @ V4b ) ) ) ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Ecombin_2EAPPLY__UPDATE__THM,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.67 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.67 => ! [V1a: $i] :
% 5.44/5.67 ( ( mem @ V1a @ A_27a )
% 5.44/5.67 => ! [V2b: $i] :
% 5.44/5.67 ( ( mem @ V2b @ A_27b )
% 5.44/5.67 => ! [V3c: $i] :
% 5.44/5.67 ( ( mem @ V3c @ A_27a )
% 5.44/5.67 => ( ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Ecombin_2EUPDATE @ A_27a @ A_27b ) @ V1a ) @ V2b ) @ V0f ) @ V3c )
% 5.44/5.67 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ A_27b ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V1a ) @ V3c ) ) @ V2b ) @ ( ap @ V0f @ V3c ) ) ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Ecombin_2EUPDATE__COMMUTES,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.67 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.67 => ! [V1a: $i] :
% 5.44/5.67 ( ( mem @ V1a @ A_27a )
% 5.44/5.67 => ! [V2b: $i] :
% 5.44/5.67 ( ( mem @ V2b @ A_27a )
% 5.44/5.67 => ! [V3c: $i] :
% 5.44/5.67 ( ( mem @ V3c @ A_27b )
% 5.44/5.67 => ! [V4d: $i] :
% 5.44/5.67 ( ( mem @ V4d @ A_27b )
% 5.44/5.67 => ( ( V1a != V2b )
% 5.44/5.67 => ( ( ap @ ( ap @ ( ap @ ( c_2Ecombin_2EUPDATE @ A_27a @ A_27b ) @ V1a ) @ V3c ) @ ( ap @ ( ap @ ( ap @ ( c_2Ecombin_2EUPDATE @ A_27a @ A_27b ) @ V2b ) @ V4d ) @ V0f ) )
% 5.44/5.67 = ( ap @ ( ap @ ( ap @ ( c_2Ecombin_2EUPDATE @ A_27a @ A_27b ) @ V2b ) @ V4d ) @ ( ap @ ( ap @ ( ap @ ( c_2Ecombin_2EUPDATE @ A_27a @ A_27b ) @ V1a ) @ V3c ) @ V0f ) ) ) ) ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Ecombin_2EUPDATE__EQ,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.67 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.67 => ! [V1a: $i] :
% 5.44/5.67 ( ( mem @ V1a @ A_27a )
% 5.44/5.67 => ! [V2b: $i] :
% 5.44/5.67 ( ( mem @ V2b @ A_27b )
% 5.44/5.67 => ! [V3c: $i] :
% 5.44/5.67 ( ( mem @ V3c @ A_27b )
% 5.44/5.67 => ( ( ap @ ( ap @ ( ap @ ( c_2Ecombin_2EUPDATE @ A_27a @ A_27b ) @ V1a ) @ V3c ) @ ( ap @ ( ap @ ( ap @ ( c_2Ecombin_2EUPDATE @ A_27a @ A_27b ) @ V1a ) @ V2b ) @ V0f ) )
% 5.44/5.67 = ( ap @ ( ap @ ( ap @ ( c_2Ecombin_2EUPDATE @ A_27a @ A_27b ) @ V1a ) @ V3c ) @ V0f ) ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Ecombin_2EUPDATE__APPLY__ID,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.67 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.67 => ! [V1a: $i] :
% 5.44/5.67 ( ( mem @ V1a @ A_27a )
% 5.44/5.67 => ! [V2b: $i] :
% 5.44/5.67 ( ( mem @ V2b @ A_27b )
% 5.44/5.67 => ( ( ( ap @ V0f @ V1a )
% 5.44/5.67 = V2b )
% 5.44/5.67 <=> ( ( ap @ ( ap @ ( ap @ ( c_2Ecombin_2EUPDATE @ A_27a @ A_27b ) @ V1a ) @ V2b ) @ V0f )
% 5.44/5.67 = V0f ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Ecombin_2EUPDATE__APPLY__IMP__ID,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.67 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.67 => ! [V1b: $i] :
% 5.44/5.67 ( ( mem @ V1b @ A_27b )
% 5.44/5.67 => ! [V2a: $i] :
% 5.44/5.67 ( ( mem @ V2a @ A_27a )
% 5.44/5.67 => ( ( ( ap @ V0f @ V2a )
% 5.44/5.67 = V1b )
% 5.44/5.67 => ( ( ap @ ( ap @ ( ap @ ( c_2Ecombin_2EUPDATE @ A_27a @ A_27b ) @ V2a ) @ V1b ) @ V0f )
% 5.44/5.67 = V0f ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Ecombin_2EAPPLY__UPDATE__ID,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.67 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.67 => ! [V1a: $i] :
% 5.44/5.67 ( ( mem @ V1a @ A_27a )
% 5.44/5.67 => ( ( ap @ ( ap @ ( ap @ ( c_2Ecombin_2EUPDATE @ A_27a @ A_27b ) @ V1a ) @ ( ap @ V0f @ V1a ) ) @ V0f )
% 5.44/5.67 = V0f ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Ecombin_2EUPD11__SAME__BASE,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.67 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.67 => ! [V1a: $i] :
% 5.44/5.67 ( ( mem @ V1a @ A_27a )
% 5.44/5.67 => ! [V2b: $i] :
% 5.44/5.67 ( ( mem @ V2b @ A_27a )
% 5.44/5.67 => ! [V3c: $i] :
% 5.44/5.67 ( ( mem @ V3c @ A_27b )
% 5.44/5.67 => ! [V4d: $i] :
% 5.44/5.67 ( ( mem @ V4d @ A_27b )
% 5.44/5.67 => ( ( ( ap @ ( ap @ ( ap @ ( c_2Ecombin_2EUPDATE @ A_27a @ A_27b ) @ V1a ) @ V3c ) @ V0f )
% 5.44/5.67 = ( ap @ ( ap @ ( ap @ ( c_2Ecombin_2EUPDATE @ A_27a @ A_27b ) @ V2b ) @ V4d ) @ V0f ) )
% 5.44/5.67 <=> ( ( ( V1a = V2b )
% 5.44/5.67 & ( V3c = V4d ) )
% 5.44/5.67 | ( ( V1a != V2b )
% 5.44/5.67 & ( ( ap @ ( ap @ ( ap @ ( c_2Ecombin_2EUPDATE @ A_27a @ A_27b ) @ V1a ) @ V3c ) @ V0f )
% 5.44/5.67 = V0f )
% 5.44/5.67 & ( ( ap @ ( ap @ ( ap @ ( c_2Ecombin_2EUPDATE @ A_27a @ A_27b ) @ V2b ) @ V4d ) @ V0f )
% 5.44/5.67 = V0f ) ) ) ) ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Ecombin_2ESAME__KEY__UPDATE__DIFFER,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0f: $i] :
% 5.44/5.67 ( ( mem @ V0f @ ( arr @ A_27c @ A_27d ) )
% 5.44/5.67 => ! [V1f1: $i] :
% 5.44/5.67 ( ( mem @ V1f1 @ A_27a )
% 5.44/5.67 => ! [V2f2: $i] :
% 5.44/5.67 ( ( mem @ V2f2 @ A_27b )
% 5.44/5.67 => ! [V3a: $i] :
% 5.44/5.67 ( ( mem @ V3a @ A_27c )
% 5.44/5.67 => ! [V4b: $i] :
% 5.44/5.67 ( ( mem @ V4b @ A_27d )
% 5.44/5.67 => ! [V5c: $i] :
% 5.44/5.67 ( ( mem @ V5c @ A_27d )
% 5.44/5.67 => ( ( V4b != V5c )
% 5.44/5.67 => ( ( ap @ ( ap @ ( ap @ ( c_2Ecombin_2EUPDATE @ A_27c @ A_27d ) @ V3a ) @ V4b ) @ V0f )
% 5.44/5.67 != ( ap @ ( ap @ ( ap @ ( c_2Ecombin_2EUPDATE @ A_27c @ A_27d ) @ V3a ) @ V5c ) @ V0f ) ) ) ) ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Ecombin_2EUPD11__SAME__KEY__AND__BASE,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.67 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.67 => ! [V1a: $i] :
% 5.44/5.67 ( ( mem @ V1a @ A_27a )
% 5.44/5.67 => ! [V2b: $i] :
% 5.44/5.67 ( ( mem @ V2b @ A_27b )
% 5.44/5.67 => ! [V3c: $i] :
% 5.44/5.67 ( ( mem @ V3c @ A_27b )
% 5.44/5.67 => ( ( ( ap @ ( ap @ ( ap @ ( c_2Ecombin_2EUPDATE @ A_27a @ A_27b ) @ V1a ) @ V2b ) @ V0f )
% 5.44/5.67 = ( ap @ ( ap @ ( ap @ ( c_2Ecombin_2EUPDATE @ A_27a @ A_27b ) @ V1a ) @ V3c ) @ V0f ) )
% 5.44/5.67 <=> ( V2b = V3c ) ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Ecombin_2EUPD__SAME__KEY__UNWIND,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del,V0f1: $i] :
% 5.44/5.67 ( ( mem @ V0f1 @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.67 => ! [V1f2: $i] :
% 5.44/5.67 ( ( mem @ V1f2 @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.67 => ! [V2a: $i] :
% 5.44/5.67 ( ( mem @ V2a @ A_27a )
% 5.44/5.67 => ! [V3b: $i] :
% 5.44/5.67 ( ( mem @ V3b @ A_27b )
% 5.44/5.67 => ! [V4c: $i] :
% 5.44/5.67 ( ( mem @ V4c @ A_27b )
% 5.44/5.67 => ( ( ( ap @ ( ap @ ( ap @ ( c_2Ecombin_2EUPDATE @ A_27a @ A_27b ) @ V2a ) @ V3b ) @ V0f1 )
% 5.44/5.67 = ( ap @ ( ap @ ( ap @ ( c_2Ecombin_2EUPDATE @ A_27a @ A_27b ) @ V2a ) @ V4c ) @ V1f2 ) )
% 5.44/5.67 => ( ( V3b = V4c )
% 5.44/5.67 & ! [V5v: $i] :
% 5.44/5.67 ( ( mem @ V5v @ A_27b )
% 5.44/5.67 => ( ( ap @ ( ap @ ( ap @ ( c_2Ecombin_2EUPDATE @ A_27a @ A_27b ) @ V2a ) @ V5v ) @ V0f1 )
% 5.44/5.67 = ( ap @ ( ap @ ( ap @ ( c_2Ecombin_2EUPDATE @ A_27a @ A_27b ) @ V2a ) @ V5v ) @ V1f2 ) ) ) ) ) ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Ecombin_2EGEN__LET__RAND,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del,A_27c: del,V0P: $i] :
% 5.44/5.67 ( ( mem @ V0P @ ( arr @ A_27b @ A_27a ) )
% 5.44/5.67 => ! [V1f: $i] :
% 5.44/5.67 ( ( mem @ V1f @ ( arr @ A_27c @ A_27b ) )
% 5.44/5.67 => ! [V2v: $i] :
% 5.44/5.67 ( ( mem @ V2v @ A_27c )
% 5.44/5.67 => ( ( ap @ V0P @ ( ap @ ( ap @ ( c_2Ebool_2ELET @ A_27c @ A_27b ) @ V1f ) @ V2v ) )
% 5.44/5.67 = ( ap @ ( ap @ ( c_2Ebool_2ELET @ A_27c @ A_27a ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27c @ A_27a @ A_27b ) @ V0P ) @ V1f ) ) @ V2v ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Ecombin_2EGEN__LET__RATOR,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.44/5.67 ( ( mem @ V0f @ ( arr @ A_27b @ ( arr @ A_27c @ A_27a ) ) )
% 5.44/5.67 => ! [V1v: $i] :
% 5.44/5.67 ( ( mem @ V1v @ A_27b )
% 5.44/5.67 => ! [V2x: $i] :
% 5.44/5.67 ( ( mem @ V2x @ A_27c )
% 5.44/5.67 => ( ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ELET @ A_27b @ ( arr @ A_27c @ A_27a ) ) @ V0f ) @ V1v ) @ V2x )
% 5.44/5.67 = ( ap @ ( ap @ ( c_2Ebool_2ELET @ A_27b @ A_27a ) @ ( ap @ ( ap @ ( c_2Ecombin_2EC @ A_27b @ A_27c @ A_27a ) @ V0f ) @ V2x ) ) @ V1v ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Ecombin_2ELET__FORALL__ELIM,axiom,
% 5.44/5.67 ! [A_27a: del,V0f: $i] :
% 5.44/5.67 ( ( mem @ V0f @ ( arr @ A_27a @ bool ) )
% 5.44/5.67 => ! [V1v: $i] :
% 5.44/5.67 ( ( mem @ V1v @ A_27a )
% 5.44/5.67 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2ELET @ A_27a @ bool ) @ V0f ) @ V1v ) )
% 5.44/5.67 <=> ( p @ ( ap @ ( c_2Ebool_2E_21 @ A_27a ) @ ( ap @ ( ap @ ( c_2Ecombin_2ES @ A_27a @ bool @ bool ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27a @ ( arr @ bool @ bool ) @ bool ) @ c_2Emin_2E_3D_3D_3E ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27a @ bool @ bool ) @ c_2Emarker_2EAbbrev ) @ ( ap @ ( ap @ ( c_2Ecombin_2EC @ A_27a @ A_27a @ bool ) @ ( c_2Emin_2E_3D @ A_27a ) ) @ V1v ) ) ) ) @ V0f ) ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Ecombin_2EGEN__literal__case__RAND,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del,A_27c: del,V0P: $i] :
% 5.44/5.67 ( ( mem @ V0P @ ( arr @ A_27b @ A_27a ) )
% 5.44/5.67 => ! [V1f: $i] :
% 5.44/5.67 ( ( mem @ V1f @ ( arr @ A_27c @ A_27b ) )
% 5.44/5.67 => ! [V2v: $i] :
% 5.44/5.67 ( ( mem @ V2v @ A_27c )
% 5.44/5.67 => ( ( ap @ V0P @ ( ap @ ( ap @ ( c_2Ebool_2Eliteral__case @ A_27c @ A_27b ) @ V1f ) @ V2v ) )
% 5.44/5.67 = ( ap @ ( ap @ ( c_2Ebool_2Eliteral__case @ A_27c @ A_27a ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27c @ A_27a @ A_27b ) @ V0P ) @ V1f ) ) @ V2v ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Ecombin_2EGEN__literal__case__RATOR,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.44/5.67 ( ( mem @ V0f @ ( arr @ A_27b @ ( arr @ A_27c @ A_27a ) ) )
% 5.44/5.67 => ! [V1v: $i] :
% 5.44/5.67 ( ( mem @ V1v @ A_27b )
% 5.44/5.67 => ! [V2x: $i] :
% 5.44/5.67 ( ( mem @ V2x @ A_27c )
% 5.44/5.67 => ( ( ap @ ( ap @ ( ap @ ( c_2Ebool_2Eliteral__case @ A_27b @ ( arr @ A_27c @ A_27a ) ) @ V0f ) @ V1v ) @ V2x )
% 5.44/5.67 = ( ap @ ( ap @ ( c_2Ebool_2Eliteral__case @ A_27b @ A_27a ) @ ( ap @ ( ap @ ( c_2Ecombin_2EC @ A_27b @ A_27c @ A_27a ) @ V0f ) @ V2x ) ) @ V1v ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Ecombin_2Eliteral__case__FORALL__ELIM,axiom,
% 5.44/5.67 ! [A_27a: del,V0f: $i] :
% 5.44/5.67 ( ( mem @ V0f @ ( arr @ A_27a @ bool ) )
% 5.44/5.67 => ! [V1v: $i] :
% 5.44/5.67 ( ( mem @ V1v @ A_27a )
% 5.44/5.67 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2Eliteral__case @ A_27a @ bool ) @ V0f ) @ V1v ) )
% 5.44/5.67 <=> ( p @ ( ap @ ( c_2Ebool_2E_21 @ A_27a ) @ ( ap @ ( ap @ ( c_2Ecombin_2ES @ A_27a @ bool @ bool ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27a @ ( arr @ bool @ bool ) @ bool ) @ c_2Emin_2E_3D_3D_3E ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27a @ bool @ bool ) @ c_2Emarker_2EAbbrev ) @ ( ap @ ( ap @ ( c_2Ecombin_2EC @ A_27a @ A_27a @ bool ) @ ( c_2Emin_2E_3D @ A_27a ) ) @ V1v ) ) ) ) @ V0f ) ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(ax_thm_2Ecombin_2EASSOC__DEF,axiom,
% 5.44/5.67 ! [A_27a: del,V0f: $i] :
% 5.44/5.67 ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.44/5.67 => ( ( p @ ( ap @ ( c_2Ecombin_2EASSOC @ A_27a ) @ V0f ) )
% 5.44/5.67 <=> ! [V1x: $i] :
% 5.44/5.67 ( ( mem @ V1x @ A_27a )
% 5.44/5.67 => ! [V2y: $i] :
% 5.44/5.67 ( ( mem @ V2y @ A_27a )
% 5.44/5.67 => ! [V3z: $i] :
% 5.44/5.67 ( ( mem @ V3z @ A_27a )
% 5.44/5.67 => ( ( ap @ ( ap @ V0f @ V1x ) @ ( ap @ ( ap @ V0f @ V2y ) @ V3z ) )
% 5.44/5.67 = ( ap @ ( ap @ V0f @ ( ap @ ( ap @ V0f @ V1x ) @ V2y ) ) @ V3z ) ) ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(ax_thm_2Ecombin_2ECOMM__DEF,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.67 ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27a @ A_27b ) ) )
% 5.44/5.67 => ( ( p @ ( ap @ ( c_2Ecombin_2ECOMM @ A_27a @ A_27b ) @ V0f ) )
% 5.44/5.67 <=> ! [V1x: $i] :
% 5.44/5.67 ( ( mem @ V1x @ A_27a )
% 5.44/5.67 => ! [V2y: $i] :
% 5.44/5.67 ( ( mem @ V2y @ A_27a )
% 5.44/5.67 => ( ( ap @ ( ap @ V0f @ V1x ) @ V2y )
% 5.44/5.67 = ( ap @ ( ap @ V0f @ V2y ) @ V1x ) ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(ax_thm_2Ecombin_2EFCOMM__DEF,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.44/5.67 ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27b @ A_27a ) ) )
% 5.44/5.67 => ! [V1g: $i] :
% 5.44/5.67 ( ( mem @ V1g @ ( arr @ A_27c @ ( arr @ A_27a @ A_27a ) ) )
% 5.44/5.67 => ( ( p @ ( ap @ ( ap @ ( c_2Ecombin_2EFCOMM @ A_27a @ A_27b @ A_27c ) @ V0f ) @ V1g ) )
% 5.44/5.67 <=> ! [V2x: $i] :
% 5.44/5.67 ( ( mem @ V2x @ A_27c )
% 5.44/5.67 => ! [V3y: $i] :
% 5.44/5.67 ( ( mem @ V3y @ A_27a )
% 5.44/5.67 => ! [V4z: $i] :
% 5.44/5.67 ( ( mem @ V4z @ A_27b )
% 5.44/5.67 => ( ( ap @ ( ap @ V1g @ V2x ) @ ( ap @ ( ap @ V0f @ V3y ) @ V4z ) )
% 5.44/5.67 = ( ap @ ( ap @ V0f @ ( ap @ ( ap @ V1g @ V2x ) @ V3y ) ) @ V4z ) ) ) ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(ax_thm_2Ecombin_2ERIGHT__ID__DEF,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.67 ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27b @ A_27a ) ) )
% 5.44/5.67 => ! [V1e: $i] :
% 5.44/5.67 ( ( mem @ V1e @ A_27b )
% 5.44/5.67 => ( ( p @ ( ap @ ( ap @ ( c_2Ecombin_2ERIGHT__ID @ A_27a @ A_27b ) @ V0f ) @ V1e ) )
% 5.44/5.67 <=> ! [V2x: $i] :
% 5.44/5.67 ( ( mem @ V2x @ A_27a )
% 5.44/5.67 => ( ( ap @ ( ap @ V0f @ V2x ) @ V1e )
% 5.44/5.67 = V2x ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(ax_thm_2Ecombin_2ELEFT__ID__DEF,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.67 ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27b @ A_27b ) ) )
% 5.44/5.67 => ! [V1e: $i] :
% 5.44/5.67 ( ( mem @ V1e @ A_27a )
% 5.44/5.67 => ( ( p @ ( ap @ ( ap @ ( c_2Ecombin_2ELEFT__ID @ A_27a @ A_27b ) @ V0f ) @ V1e ) )
% 5.44/5.67 <=> ! [V2x: $i] :
% 5.44/5.67 ( ( mem @ V2x @ A_27b )
% 5.44/5.67 => ( ( ap @ ( ap @ V0f @ V1e ) @ V2x )
% 5.44/5.67 = V2x ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(ax_thm_2Ecombin_2EMONOID__DEF,axiom,
% 5.44/5.67 ! [A_27a: del,V0f: $i] :
% 5.44/5.67 ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.44/5.67 => ! [V1e: $i] :
% 5.44/5.67 ( ( mem @ V1e @ A_27a )
% 5.44/5.67 => ( ( p @ ( ap @ ( ap @ ( c_2Ecombin_2EMONOID @ A_27a ) @ V0f ) @ V1e ) )
% 5.44/5.67 <=> ( ( p @ ( ap @ ( c_2Ecombin_2EASSOC @ A_27a ) @ V0f ) )
% 5.44/5.67 & ( p @ ( ap @ ( ap @ ( c_2Ecombin_2ERIGHT__ID @ A_27a @ A_27a ) @ V0f ) @ V1e ) )
% 5.44/5.67 & ( p @ ( ap @ ( ap @ ( c_2Ecombin_2ELEFT__ID @ A_27a @ A_27a ) @ V0f ) @ V1e ) ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Ecombin_2EASSOC__CONJ,axiom,
% 5.44/5.67 p @ ( ap @ ( c_2Ecombin_2EASSOC @ bool ) @ c_2Ebool_2E_2F_5C ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Ecombin_2EASSOC__SYM,axiom,
% 5.44/5.67 ! [A_27a: del,V0f: $i] :
% 5.44/5.67 ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.44/5.67 => ( ( p @ ( ap @ ( c_2Ecombin_2EASSOC @ A_27a ) @ V0f ) )
% 5.44/5.67 <=> ! [V1x: $i] :
% 5.44/5.67 ( ( mem @ V1x @ A_27a )
% 5.44/5.67 => ! [V2y: $i] :
% 5.44/5.67 ( ( mem @ V2y @ A_27a )
% 5.44/5.67 => ! [V3z: $i] :
% 5.44/5.67 ( ( mem @ V3z @ A_27a )
% 5.44/5.67 => ( ( ap @ ( ap @ V0f @ ( ap @ ( ap @ V0f @ V1x ) @ V2y ) ) @ V3z )
% 5.44/5.67 = ( ap @ ( ap @ V0f @ V1x ) @ ( ap @ ( ap @ V0f @ V2y ) @ V3z ) ) ) ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Ecombin_2EASSOC__DISJ,axiom,
% 5.44/5.67 p @ ( ap @ ( c_2Ecombin_2EASSOC @ bool ) @ c_2Ebool_2E_5C_2F ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Ecombin_2EFCOMM__ASSOC,axiom,
% 5.44/5.67 ! [A_27a: del,V0f: $i] :
% 5.44/5.67 ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.44/5.67 => ( ( p @ ( ap @ ( ap @ ( c_2Ecombin_2EFCOMM @ A_27a @ A_27a @ A_27a ) @ V0f ) @ V0f ) )
% 5.44/5.67 <=> ( p @ ( ap @ ( c_2Ecombin_2EASSOC @ A_27a ) @ V0f ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Ecombin_2EMONOID__CONJ__T,axiom,
% 5.44/5.67 p @ ( ap @ ( ap @ ( c_2Ecombin_2EMONOID @ bool ) @ c_2Ebool_2E_2F_5C ) @ c_2Ebool_2ET ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Ecombin_2EMONOID__DISJ__F,axiom,
% 5.44/5.67 p @ ( ap @ ( ap @ ( c_2Ecombin_2EMONOID @ bool ) @ c_2Ebool_2E_5C_2F ) @ c_2Ebool_2EF ) ).
% 5.44/5.67
% 5.44/5.67 thf(ax_thm_2Ecombin_2EFAIL__DEF,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del] :
% 5.44/5.67 ( ( c_2Ecombin_2EFAIL @ A_27a @ A_27b )
% 5.44/5.67 = ( lam @ A_27a
% 5.44/5.67 @ ^ [V0x: $i] :
% 5.44/5.67 ( lam @ A_27b
% 5.44/5.67 @ ^ [V1y: $i] : V0x ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Ecombin_2EFAIL__THM,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del,V0x: $i] :
% 5.44/5.67 ( ( mem @ V0x @ A_27a )
% 5.44/5.67 => ! [V1y: $i] :
% 5.44/5.67 ( ( mem @ V1y @ A_27b )
% 5.44/5.67 => ( ( ap @ ( ap @ ( c_2Ecombin_2EFAIL @ A_27a @ A_27b ) @ V0x ) @ V1y )
% 5.44/5.67 = V0x ) ) ) ).
% 5.44/5.67
% 5.44/5.67 %------------------------------------------------------------------------------
% 5.44/5.67 %------------------------------------------------------------------------------
% 5.44/5.67 thf(tp_ty_2Enum_2Enum,type,
% 5.44/5.67 ty_2Enum_2Enum: del ).
% 5.44/5.67
% 5.44/5.67 thf(stp_ty_2Enum_2Enum,type,
% 5.44/5.67 tp__ty_2Enum_2Enum: $tType ).
% 5.44/5.67
% 5.44/5.67 thf(stp_inj_ty_2Enum_2Enum,type,
% 5.44/5.67 inj__ty_2Enum_2Enum: tp__ty_2Enum_2Enum > $i ).
% 5.44/5.67
% 5.44/5.67 thf(stp_surj_ty_2Enum_2Enum,type,
% 5.44/5.67 surj__ty_2Enum_2Enum: $i > tp__ty_2Enum_2Enum ).
% 5.44/5.67
% 5.44/5.67 thf(stp_inj_surj_ty_2Enum_2Enum,axiom,
% 5.44/5.67 ! [X: tp__ty_2Enum_2Enum] :
% 5.44/5.67 ( ( surj__ty_2Enum_2Enum @ ( inj__ty_2Enum_2Enum @ X ) )
% 5.44/5.67 = X ) ).
% 5.44/5.67
% 5.44/5.67 thf(stp_inj_mem_ty_2Enum_2Enum,axiom,
% 5.44/5.67 ! [X: tp__ty_2Enum_2Enum] : ( mem @ ( inj__ty_2Enum_2Enum @ X ) @ ty_2Enum_2Enum ) ).
% 5.44/5.67
% 5.44/5.67 thf(stp_iso_mem_ty_2Enum_2Enum,axiom,
% 5.44/5.67 ! [X: $i] :
% 5.44/5.67 ( ( mem @ X @ ty_2Enum_2Enum )
% 5.44/5.67 => ( X
% 5.44/5.67 = ( inj__ty_2Enum_2Enum @ ( surj__ty_2Enum_2Enum @ X ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(tp_c_2Enum_2E0,type,
% 5.44/5.67 c_2Enum_2E0: $i ).
% 5.44/5.67
% 5.44/5.67 thf(mem_c_2Enum_2E0,axiom,
% 5.44/5.67 mem @ c_2Enum_2E0 @ ty_2Enum_2Enum ).
% 5.44/5.67
% 5.44/5.67 thf(stp_fo_c_2Enum_2E0,type,
% 5.44/5.67 fo__c_2Enum_2E0: tp__ty_2Enum_2Enum ).
% 5.44/5.67
% 5.44/5.67 thf(stp_eq_fo_c_2Enum_2E0,axiom,
% 5.44/5.67 ( ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 )
% 5.44/5.67 = c_2Enum_2E0 ) ).
% 5.44/5.67
% 5.44/5.67 thf(tp_c_2Enum_2EABS__num,type,
% 5.44/5.67 c_2Enum_2EABS__num: $i ).
% 5.44/5.67
% 5.44/5.67 thf(mem_c_2Enum_2EABS__num,axiom,
% 5.44/5.67 mem @ c_2Enum_2EABS__num @ ( arr @ ind @ ty_2Enum_2Enum ) ).
% 5.44/5.67
% 5.44/5.67 thf(stp_fo_c_2Enum_2EABS__num,type,
% 5.44/5.67 fo__c_2Enum_2EABS__num: tp__i > tp__ty_2Enum_2Enum ).
% 5.44/5.67
% 5.44/5.67 thf(stp_eq_fo_c_2Enum_2EABS__num,axiom,
% 5.44/5.67 ! [X0: tp__i] :
% 5.44/5.67 ( ( inj__ty_2Enum_2Enum @ ( fo__c_2Enum_2EABS__num @ X0 ) )
% 5.44/5.67 = ( ap @ c_2Enum_2EABS__num @ ( inj__i @ X0 ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(tp_c_2Enum_2EIS__NUM__REP,type,
% 5.44/5.67 c_2Enum_2EIS__NUM__REP: $i ).
% 5.44/5.67
% 5.44/5.67 thf(mem_c_2Enum_2EIS__NUM__REP,axiom,
% 5.44/5.67 mem @ c_2Enum_2EIS__NUM__REP @ ( arr @ ind @ bool ) ).
% 5.44/5.67
% 5.44/5.67 thf(tp_c_2Enum_2EREP__num,type,
% 5.44/5.67 c_2Enum_2EREP__num: $i ).
% 5.44/5.67
% 5.44/5.67 thf(mem_c_2Enum_2EREP__num,axiom,
% 5.44/5.67 mem @ c_2Enum_2EREP__num @ ( arr @ ty_2Enum_2Enum @ ind ) ).
% 5.44/5.67
% 5.44/5.67 thf(stp_fo_c_2Enum_2EREP__num,type,
% 5.44/5.67 fo__c_2Enum_2EREP__num: tp__ty_2Enum_2Enum > tp__i ).
% 5.44/5.67
% 5.44/5.67 thf(stp_eq_fo_c_2Enum_2EREP__num,axiom,
% 5.44/5.67 ! [X0: tp__ty_2Enum_2Enum] :
% 5.44/5.67 ( ( inj__i @ ( fo__c_2Enum_2EREP__num @ X0 ) )
% 5.44/5.67 = ( ap @ c_2Enum_2EREP__num @ ( inj__ty_2Enum_2Enum @ X0 ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(tp_c_2Enum_2ESUC,type,
% 5.44/5.67 c_2Enum_2ESUC: $i ).
% 5.44/5.67
% 5.44/5.67 thf(mem_c_2Enum_2ESUC,axiom,
% 5.44/5.67 mem @ c_2Enum_2ESUC @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ).
% 5.44/5.67
% 5.44/5.67 thf(stp_fo_c_2Enum_2ESUC,type,
% 5.44/5.67 fo__c_2Enum_2ESUC: tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum ).
% 5.44/5.67
% 5.44/5.67 thf(stp_eq_fo_c_2Enum_2ESUC,axiom,
% 5.44/5.67 ! [X0: tp__ty_2Enum_2Enum] :
% 5.44/5.67 ( ( inj__ty_2Enum_2Enum @ ( fo__c_2Enum_2ESUC @ X0 ) )
% 5.44/5.67 = ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ X0 ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(tp_c_2Enum_2ESUC__REP,type,
% 5.44/5.67 c_2Enum_2ESUC__REP: $i ).
% 5.44/5.67
% 5.44/5.67 thf(mem_c_2Enum_2ESUC__REP,axiom,
% 5.44/5.67 mem @ c_2Enum_2ESUC__REP @ ( arr @ ind @ ind ) ).
% 5.44/5.67
% 5.44/5.67 thf(stp_fo_c_2Enum_2ESUC__REP,type,
% 5.44/5.67 fo__c_2Enum_2ESUC__REP: tp__i > tp__i ).
% 5.44/5.67
% 5.44/5.67 thf(stp_eq_fo_c_2Enum_2ESUC__REP,axiom,
% 5.44/5.67 ! [X0: tp__i] :
% 5.44/5.67 ( ( inj__i @ ( fo__c_2Enum_2ESUC__REP @ X0 ) )
% 5.44/5.67 = ( ap @ c_2Enum_2ESUC__REP @ ( inj__i @ X0 ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(tp_c_2Enum_2EZERO__REP,type,
% 5.44/5.67 c_2Enum_2EZERO__REP: $i ).
% 5.44/5.67
% 5.44/5.67 thf(mem_c_2Enum_2EZERO__REP,axiom,
% 5.44/5.67 mem @ c_2Enum_2EZERO__REP @ ind ).
% 5.44/5.67
% 5.44/5.67 thf(stp_fo_c_2Enum_2EZERO__REP,type,
% 5.44/5.67 fo__c_2Enum_2EZERO__REP: tp__i ).
% 5.44/5.67
% 5.44/5.67 thf(stp_eq_fo_c_2Enum_2EZERO__REP,axiom,
% 5.44/5.67 ( ( inj__i @ fo__c_2Enum_2EZERO__REP )
% 5.44/5.67 = c_2Enum_2EZERO__REP ) ).
% 5.44/5.67
% 5.44/5.67 thf(ax_thm_2Enum_2ESUC__REP__DEF,axiom,
% 5.44/5.67 ( ( p @ ( ap @ ( c_2Ebool_2EONE__ONE @ ind @ ind ) @ c_2Enum_2ESUC__REP ) )
% 5.44/5.67 & ~ ( p @ ( ap @ ( c_2Ebool_2EONTO @ ind @ ind ) @ c_2Enum_2ESUC__REP ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(ax_thm_2Enum_2EZERO__REP__DEF,axiom,
% 5.44/5.67 ! [V0y: tp__i] :
% 5.44/5.67 ( fo__c_2Enum_2EZERO__REP
% 5.44/5.67 != ( surj__i @ ( ap @ c_2Enum_2ESUC__REP @ ( inj__i @ V0y ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(ax_thm_2Enum_2EIS__NUM__REP,axiom,
% 5.44/5.67 ! [V0m: tp__i] :
% 5.44/5.67 ( ( p @ ( ap @ c_2Enum_2EIS__NUM__REP @ ( inj__i @ V0m ) ) )
% 5.44/5.67 <=> ! [V1P: $i] :
% 5.44/5.67 ( ( mem @ V1P @ ( arr @ ind @ bool ) )
% 5.44/5.67 => ( ( ( p @ ( ap @ V1P @ ( inj__i @ fo__c_2Enum_2EZERO__REP ) ) )
% 5.44/5.67 & ! [V2n: tp__i] :
% 5.44/5.67 ( ( p @ ( ap @ V1P @ ( inj__i @ V2n ) ) )
% 5.44/5.67 => ( p @ ( ap @ V1P @ ( ap @ c_2Enum_2ESUC__REP @ ( inj__i @ V2n ) ) ) ) ) )
% 5.44/5.67 => ( p @ ( ap @ V1P @ ( inj__i @ V0m ) ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(ax_thm_2Enum_2Enum__TY__DEF,axiom,
% 5.44/5.67 ? [V0rep: $i] :
% 5.44/5.67 ( ( mem @ V0rep @ ( arr @ ty_2Enum_2Enum @ ind ) )
% 5.44/5.67 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2ETYPE__DEFINITION @ ind @ ty_2Enum_2Enum ) @ c_2Enum_2EIS__NUM__REP ) @ V0rep ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(ax_thm_2Enum_2Enum__ISO__DEF,axiom,
% 5.44/5.67 ( ! [V0a: tp__ty_2Enum_2Enum] :
% 5.44/5.67 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enum_2EABS__num @ ( ap @ c_2Enum_2EREP__num @ ( inj__ty_2Enum_2Enum @ V0a ) ) ) )
% 5.44/5.67 = V0a )
% 5.44/5.67 & ! [V1r: tp__i] :
% 5.44/5.67 ( ( p @ ( ap @ c_2Enum_2EIS__NUM__REP @ ( inj__i @ V1r ) ) )
% 5.44/5.67 <=> ( ( surj__i @ ( ap @ c_2Enum_2EREP__num @ ( ap @ c_2Enum_2EABS__num @ ( inj__i @ V1r ) ) ) )
% 5.44/5.67 = V1r ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(ax_thm_2Enum_2EZERO__DEF,axiom,
% 5.44/5.67 ( fo__c_2Enum_2E0
% 5.44/5.67 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enum_2EABS__num @ ( inj__i @ fo__c_2Enum_2EZERO__REP ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(ax_thm_2Enum_2ESUC__DEF,axiom,
% 5.44/5.67 ! [V0m: tp__ty_2Enum_2Enum] :
% 5.44/5.67 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0m ) ) )
% 5.44/5.67 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enum_2EABS__num @ ( ap @ c_2Enum_2ESUC__REP @ ( ap @ c_2Enum_2EREP__num @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Enum_2ENOT__SUC,axiom,
% 5.44/5.67 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.67 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.67 != fo__c_2Enum_2E0 ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Enum_2EINV__SUC,axiom,
% 5.44/5.67 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.67 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0m ) ) )
% 5.44/5.67 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.44/5.67 => ( V0m = V1n ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Enum_2EINDUCTION,axiom,
% 5.44/5.67 ! [V0P: $i] :
% 5.44/5.67 ( ( mem @ V0P @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.44/5.67 => ( ( ( p @ ( ap @ V0P @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.44/5.67 & ! [V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.67 ( ( p @ ( ap @ V0P @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.67 => ( p @ ( ap @ V0P @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ) )
% 5.44/5.67 => ! [V2n: tp__ty_2Enum_2Enum] : ( p @ ( ap @ V0P @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 %------------------------------------------------------------------------------
% 5.44/5.67 %------------------------------------------------------------------------------
% 5.44/5.67 thf(tp_ty_2Eone_2Eone,type,
% 5.44/5.67 ty_2Eone_2Eone: del ).
% 5.44/5.67
% 5.44/5.67 thf(stp_ty_2Eone_2Eone,type,
% 5.44/5.67 tp__ty_2Eone_2Eone: $tType ).
% 5.44/5.67
% 5.44/5.67 thf(stp_inj_ty_2Eone_2Eone,type,
% 5.44/5.67 inj__ty_2Eone_2Eone: tp__ty_2Eone_2Eone > $i ).
% 5.44/5.67
% 5.44/5.67 thf(stp_surj_ty_2Eone_2Eone,type,
% 5.44/5.67 surj__ty_2Eone_2Eone: $i > tp__ty_2Eone_2Eone ).
% 5.44/5.67
% 5.44/5.67 thf(stp_inj_surj_ty_2Eone_2Eone,axiom,
% 5.44/5.67 ! [X: tp__ty_2Eone_2Eone] :
% 5.44/5.67 ( ( surj__ty_2Eone_2Eone @ ( inj__ty_2Eone_2Eone @ X ) )
% 5.44/5.67 = X ) ).
% 5.44/5.67
% 5.44/5.67 thf(stp_inj_mem_ty_2Eone_2Eone,axiom,
% 5.44/5.67 ! [X: tp__ty_2Eone_2Eone] : ( mem @ ( inj__ty_2Eone_2Eone @ X ) @ ty_2Eone_2Eone ) ).
% 5.44/5.67
% 5.44/5.67 thf(stp_iso_mem_ty_2Eone_2Eone,axiom,
% 5.44/5.67 ! [X: $i] :
% 5.44/5.67 ( ( mem @ X @ ty_2Eone_2Eone )
% 5.44/5.67 => ( X
% 5.44/5.67 = ( inj__ty_2Eone_2Eone @ ( surj__ty_2Eone_2Eone @ X ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(tp_c_2Eone_2Eone,type,
% 5.44/5.67 c_2Eone_2Eone: $i ).
% 5.44/5.67
% 5.44/5.67 thf(mem_c_2Eone_2Eone,axiom,
% 5.44/5.67 mem @ c_2Eone_2Eone @ ty_2Eone_2Eone ).
% 5.44/5.67
% 5.44/5.67 thf(stp_fo_c_2Eone_2Eone,type,
% 5.44/5.67 fo__c_2Eone_2Eone: tp__ty_2Eone_2Eone ).
% 5.44/5.67
% 5.44/5.67 thf(stp_eq_fo_c_2Eone_2Eone,axiom,
% 5.44/5.67 ( ( inj__ty_2Eone_2Eone @ fo__c_2Eone_2Eone )
% 5.44/5.67 = c_2Eone_2Eone ) ).
% 5.44/5.67
% 5.44/5.67 thf(tp_c_2Eone_2Eone__CASE,type,
% 5.44/5.67 c_2Eone_2Eone__CASE: del > $i ).
% 5.44/5.67
% 5.44/5.67 thf(mem_c_2Eone_2Eone__CASE,axiom,
% 5.44/5.67 ! [A_27a: del] : ( mem @ ( c_2Eone_2Eone__CASE @ A_27a ) @ ( arr @ ty_2Eone_2Eone @ ( arr @ A_27a @ A_27a ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(ax_thm_2Eone_2Eone__TY__DEF,axiom,
% 5.44/5.67 ? [V0rep: $i] :
% 5.44/5.67 ( ( mem @ V0rep @ ( arr @ ty_2Eone_2Eone @ bool ) )
% 5.44/5.67 & ( p
% 5.44/5.67 @ ( ap
% 5.44/5.67 @ ( ap @ ( c_2Ebool_2ETYPE__DEFINITION @ bool @ ty_2Eone_2Eone )
% 5.44/5.67 @ ( lam @ bool
% 5.44/5.67 @ ^ [V1b: $i] : V1b ) )
% 5.44/5.67 @ V0rep ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Eone_2Eone__axiom,axiom,
% 5.44/5.67 ! [A_27a: del,V0f: $i] :
% 5.44/5.67 ( ( mem @ V0f @ ( arr @ A_27a @ ty_2Eone_2Eone ) )
% 5.44/5.67 => ! [V1g: $i] :
% 5.44/5.67 ( ( mem @ V1g @ ( arr @ A_27a @ ty_2Eone_2Eone ) )
% 5.44/5.67 => ( V0f = V1g ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(ax_thm_2Eone_2Eone__DEF,axiom,
% 5.44/5.67 ( fo__c_2Eone_2Eone
% 5.44/5.67 = ( surj__ty_2Eone_2Eone
% 5.44/5.67 @ ( ap @ ( c_2Emin_2E_40 @ ty_2Eone_2Eone )
% 5.44/5.67 @ ( lam @ ty_2Eone_2Eone
% 5.44/5.67 @ ^ [V0x: $i] : c_2Ebool_2ET ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Eone_2Eone,axiom,
% 5.44/5.67 ! [V0v: tp__ty_2Eone_2Eone] : ( V0v = fo__c_2Eone_2Eone ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Eone_2Eone__Axiom,axiom,
% 5.44/5.67 ! [A_27a: del,V0e: $i] :
% 5.44/5.67 ( ( mem @ V0e @ A_27a )
% 5.44/5.67 => ( p
% 5.44/5.67 @ ( ap @ ( c_2Ebool_2E_3F_21 @ ( arr @ ty_2Eone_2Eone @ A_27a ) )
% 5.44/5.67 @ ( lam @ ( arr @ ty_2Eone_2Eone @ A_27a )
% 5.44/5.67 @ ^ [V1fn: $i] : ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ ( ap @ V1fn @ ( inj__ty_2Eone_2Eone @ fo__c_2Eone_2Eone ) ) ) @ V0e ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Eone_2Eone__prim__rec,axiom,
% 5.44/5.67 ! [A_27a: del,V0e: $i] :
% 5.44/5.67 ( ( mem @ V0e @ A_27a )
% 5.44/5.67 => ? [V1fn: $i] :
% 5.44/5.67 ( ( mem @ V1fn @ ( arr @ ty_2Eone_2Eone @ A_27a ) )
% 5.44/5.67 & ( ( ap @ V1fn @ ( inj__ty_2Eone_2Eone @ fo__c_2Eone_2Eone ) )
% 5.44/5.67 = V0e ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Eone_2Eone__induction,axiom,
% 5.44/5.67 ! [V0P: $i] :
% 5.44/5.67 ( ( mem @ V0P @ ( arr @ ty_2Eone_2Eone @ bool ) )
% 5.44/5.67 => ( ( p @ ( ap @ V0P @ ( inj__ty_2Eone_2Eone @ fo__c_2Eone_2Eone ) ) )
% 5.44/5.67 => ! [V1x: tp__ty_2Eone_2Eone] : ( p @ ( ap @ V0P @ ( inj__ty_2Eone_2Eone @ V1x ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Eone_2EFORALL__ONE,axiom,
% 5.44/5.67 ! [V0P: $i] :
% 5.44/5.67 ( ( mem @ V0P @ ( arr @ ty_2Eone_2Eone @ bool ) )
% 5.44/5.67 => ( ! [V1x: tp__ty_2Eone_2Eone] : ( p @ ( ap @ V0P @ ( inj__ty_2Eone_2Eone @ V1x ) ) )
% 5.44/5.67 <=> ( p @ ( ap @ V0P @ ( inj__ty_2Eone_2Eone @ fo__c_2Eone_2Eone ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(ax_thm_2Eone_2Eone__case__def,axiom,
% 5.44/5.67 ! [A_27a: del,V0u: tp__ty_2Eone_2Eone,V1x: $i] :
% 5.44/5.67 ( ( mem @ V1x @ A_27a )
% 5.44/5.67 => ( ( ap @ ( ap @ ( c_2Eone_2Eone__CASE @ A_27a ) @ ( inj__ty_2Eone_2Eone @ V0u ) ) @ V1x )
% 5.44/5.67 = V1x ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Eone_2Eone__case__thm,axiom,
% 5.44/5.67 ! [A_27a: del,V0x: $i] :
% 5.44/5.67 ( ( mem @ V0x @ A_27a )
% 5.44/5.67 => ( ( ap @ ( ap @ ( c_2Eone_2Eone__CASE @ A_27a ) @ ( inj__ty_2Eone_2Eone @ fo__c_2Eone_2Eone ) ) @ V0x )
% 5.44/5.67 = V0x ) ) ).
% 5.44/5.67
% 5.44/5.67 %------------------------------------------------------------------------------
% 5.44/5.67 %------------------------------------------------------------------------------
% 5.44/5.67 thf(tp_ty_2Esum_2Esum,type,
% 5.44/5.67 ty_2Esum_2Esum: del > del > del ).
% 5.44/5.67
% 5.44/5.67 thf(tp_c_2Esum_2E_2B_2B,type,
% 5.44/5.67 c_2Esum_2E_2B_2B: del > del > del > del > $i ).
% 5.44/5.67
% 5.44/5.67 thf(mem_c_2Esum_2E_2B_2B,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del] : ( mem @ ( c_2Esum_2E_2B_2B @ A_27a @ A_27b @ A_27c @ A_27d ) @ ( arr @ ( arr @ A_27a @ A_27c ) @ ( arr @ ( arr @ A_27b @ A_27d ) @ ( arr @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) @ ( ty_2Esum_2Esum @ A_27c @ A_27d ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(tp_c_2Esum_2EABS__sum,type,
% 5.44/5.67 c_2Esum_2EABS__sum: del > del > $i ).
% 5.44/5.67
% 5.44/5.67 thf(mem_c_2Esum_2EABS__sum,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Esum_2EABS__sum @ A_27a @ A_27b ) @ ( arr @ ( arr @ bool @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) ) @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(tp_c_2Esum_2EINL,type,
% 5.44/5.67 c_2Esum_2EINL: del > del > $i ).
% 5.44/5.67
% 5.44/5.67 thf(mem_c_2Esum_2EINL,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Esum_2EINL @ A_27a @ A_27b ) @ ( arr @ A_27a @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(tp_c_2Esum_2EINR,type,
% 5.44/5.67 c_2Esum_2EINR: del > del > $i ).
% 5.44/5.67
% 5.44/5.67 thf(mem_c_2Esum_2EINR,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Esum_2EINR @ A_27a @ A_27b ) @ ( arr @ A_27b @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(tp_c_2Esum_2EISL,type,
% 5.44/5.67 c_2Esum_2EISL: del > del > $i ).
% 5.44/5.67
% 5.44/5.67 thf(mem_c_2Esum_2EISL,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Esum_2EISL @ A_27a @ A_27b ) @ ( arr @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) @ bool ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(tp_c_2Esum_2EISR,type,
% 5.44/5.67 c_2Esum_2EISR: del > del > $i ).
% 5.44/5.67
% 5.44/5.67 thf(mem_c_2Esum_2EISR,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Esum_2EISR @ A_27a @ A_27b ) @ ( arr @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) @ bool ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(tp_c_2Esum_2EIS__SUM__REP,type,
% 5.44/5.67 c_2Esum_2EIS__SUM__REP: del > del > $i ).
% 5.44/5.67
% 5.44/5.67 thf(mem_c_2Esum_2EIS__SUM__REP,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Esum_2EIS__SUM__REP @ A_27a @ A_27b ) @ ( arr @ ( arr @ bool @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) ) @ bool ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(tp_c_2Esum_2EOUTL,type,
% 5.44/5.67 c_2Esum_2EOUTL: del > del > $i ).
% 5.44/5.67
% 5.44/5.67 thf(mem_c_2Esum_2EOUTL,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Esum_2EOUTL @ A_27a @ A_27b ) @ ( arr @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) @ A_27a ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(tp_c_2Esum_2EOUTR,type,
% 5.44/5.67 c_2Esum_2EOUTR: del > del > $i ).
% 5.44/5.67
% 5.44/5.67 thf(mem_c_2Esum_2EOUTR,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Esum_2EOUTR @ A_27a @ A_27b ) @ ( arr @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) @ A_27b ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(tp_c_2Esum_2EREP__sum,type,
% 5.44/5.67 c_2Esum_2EREP__sum: del > del > $i ).
% 5.44/5.67
% 5.44/5.67 thf(mem_c_2Esum_2EREP__sum,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Esum_2EREP__sum @ A_27a @ A_27b ) @ ( arr @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) @ ( arr @ bool @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(tp_c_2Esum_2ESUM__ALL,type,
% 5.44/5.67 c_2Esum_2ESUM__ALL: del > del > $i ).
% 5.44/5.67
% 5.44/5.67 thf(mem_c_2Esum_2ESUM__ALL,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Esum_2ESUM__ALL @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( arr @ A_27b @ bool ) @ ( arr @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) @ bool ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(tp_c_2Esum_2Esum__CASE,type,
% 5.44/5.67 c_2Esum_2Esum__CASE: del > del > del > $i ).
% 5.44/5.67
% 5.44/5.67 thf(mem_c_2Esum_2Esum__CASE,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del,A_27c: del] : ( mem @ ( c_2Esum_2Esum__CASE @ A_27a @ A_27b @ A_27c ) @ ( arr @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ A_27c ) @ ( arr @ ( arr @ A_27b @ A_27c ) @ A_27c ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(ax_thm_2Esum_2EIS__SUM__REP,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.67 ( ( mem @ V0f @ ( arr @ bool @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) ) )
% 5.44/5.67 => ( ( p @ ( ap @ ( c_2Esum_2EIS__SUM__REP @ A_27a @ A_27b ) @ V0f ) )
% 5.44/5.67 <=> ? [V1v1: $i] :
% 5.44/5.67 ( ( mem @ V1v1 @ A_27a )
% 5.44/5.67 & ? [V2v2: $i] :
% 5.44/5.67 ( ( mem @ V2v2 @ A_27b )
% 5.44/5.67 & ( ( V0f
% 5.44/5.67 = ( lam @ bool
% 5.44/5.67 @ ^ [V3b: $i] :
% 5.44/5.67 ( lam @ A_27a
% 5.44/5.67 @ ^ [V4x: $i] :
% 5.44/5.67 ( lam @ A_27b
% 5.44/5.67 @ ^ [V5y: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V4x ) @ V1v1 ) ) @ V3b ) ) ) ) )
% 5.44/5.67 | ( V0f
% 5.44/5.67 = ( lam @ bool
% 5.44/5.67 @ ^ [V6b: $i] :
% 5.44/5.67 ( lam @ A_27a
% 5.44/5.67 @ ^ [V7x: $i] :
% 5.44/5.67 ( lam @ A_27b
% 5.44/5.67 @ ^ [V8y: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27b ) @ V8y ) @ V2v2 ) ) @ ( ap @ c_2Ebool_2E_7E @ V6b ) ) ) ) ) ) ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(ax_thm_2Esum_2Esum__TY__DEF,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del] :
% 5.44/5.67 ? [V0rep: $i] :
% 5.44/5.67 ( ( mem @ V0rep @ ( arr @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) @ ( arr @ bool @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) ) ) )
% 5.44/5.67 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2ETYPE__DEFINITION @ ( arr @ bool @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) ) @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) ) @ ( c_2Esum_2EIS__SUM__REP @ A_27a @ A_27b ) ) @ V0rep ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(ax_thm_2Esum_2Esum__ISO__DEF,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del] :
% 5.44/5.67 ( ! [V0a: $i] :
% 5.44/5.67 ( ( mem @ V0a @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) )
% 5.44/5.67 => ( ( ap @ ( c_2Esum_2EABS__sum @ A_27a @ A_27b ) @ ( ap @ ( c_2Esum_2EREP__sum @ A_27a @ A_27b ) @ V0a ) )
% 5.44/5.67 = V0a ) )
% 5.44/5.67 & ! [V1r: $i] :
% 5.44/5.67 ( ( mem @ V1r @ ( arr @ bool @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) ) )
% 5.44/5.67 => ( ( p @ ( ap @ ( c_2Esum_2EIS__SUM__REP @ A_27a @ A_27b ) @ V1r ) )
% 5.44/5.67 <=> ( ( ap @ ( c_2Esum_2EREP__sum @ A_27a @ A_27b ) @ ( ap @ ( c_2Esum_2EABS__sum @ A_27a @ A_27b ) @ V1r ) )
% 5.44/5.67 = V1r ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(ax_thm_2Esum_2EINL__DEF,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del,V0e: $i] :
% 5.44/5.67 ( ( mem @ V0e @ A_27a )
% 5.44/5.67 => ( ( ap @ ( c_2Esum_2EINL @ A_27a @ A_27b ) @ V0e )
% 5.44/5.67 = ( ap @ ( c_2Esum_2EABS__sum @ A_27a @ A_27b )
% 5.44/5.67 @ ( lam @ bool
% 5.44/5.67 @ ^ [V1b: $i] :
% 5.44/5.67 ( lam @ A_27a
% 5.44/5.67 @ ^ [V2x: $i] :
% 5.44/5.67 ( lam @ A_27b
% 5.44/5.67 @ ^ [V3y: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V2x ) @ V0e ) ) @ V1b ) ) ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(ax_thm_2Esum_2EINR__DEF,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del,V0e: $i] :
% 5.44/5.67 ( ( mem @ V0e @ A_27b )
% 5.44/5.67 => ( ( ap @ ( c_2Esum_2EINR @ A_27a @ A_27b ) @ V0e )
% 5.44/5.67 = ( ap @ ( c_2Esum_2EABS__sum @ A_27a @ A_27b )
% 5.44/5.67 @ ( lam @ bool
% 5.44/5.67 @ ^ [V1b: $i] :
% 5.44/5.67 ( lam @ A_27a
% 5.44/5.67 @ ^ [V2x: $i] :
% 5.44/5.67 ( lam @ A_27b
% 5.44/5.67 @ ^ [V3y: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27b ) @ V3y ) @ V0e ) ) @ ( ap @ c_2Ebool_2E_7E @ V1b ) ) ) ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Esum_2EINL__11,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del,V0x: $i] :
% 5.44/5.67 ( ( mem @ V0x @ A_27a )
% 5.44/5.67 => ! [V1y: $i] :
% 5.44/5.67 ( ( mem @ V1y @ A_27a )
% 5.44/5.67 => ( ( ( ap @ ( c_2Esum_2EINL @ A_27a @ A_27b ) @ V0x )
% 5.44/5.67 = ( ap @ ( c_2Esum_2EINL @ A_27a @ A_27b ) @ V1y ) )
% 5.44/5.67 <=> ( V0x = V1y ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Esum_2EINR__11,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del,V0x: $i] :
% 5.44/5.67 ( ( mem @ V0x @ A_27b )
% 5.44/5.67 => ! [V1y: $i] :
% 5.44/5.67 ( ( mem @ V1y @ A_27b )
% 5.44/5.67 => ( ( ( ap @ ( c_2Esum_2EINR @ A_27a @ A_27b ) @ V0x )
% 5.44/5.67 = ( ap @ ( c_2Esum_2EINR @ A_27a @ A_27b ) @ V1y ) )
% 5.44/5.67 <=> ( V0x = V1y ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Esum_2EINR__INL__11,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del] :
% 5.44/5.67 ( ! [V0y: $i] :
% 5.44/5.67 ( ( mem @ V0y @ A_27a )
% 5.44/5.67 => ! [V1x: $i] :
% 5.44/5.67 ( ( mem @ V1x @ A_27a )
% 5.44/5.67 => ( ( ( ap @ ( c_2Esum_2EINL @ A_27a @ A_27b ) @ V1x )
% 5.44/5.67 = ( ap @ ( c_2Esum_2EINL @ A_27a @ A_27b ) @ V0y ) )
% 5.44/5.67 <=> ( V1x = V0y ) ) ) )
% 5.44/5.67 & ! [V2y: $i] :
% 5.44/5.67 ( ( mem @ V2y @ A_27b )
% 5.44/5.67 => ! [V3x: $i] :
% 5.44/5.67 ( ( mem @ V3x @ A_27b )
% 5.44/5.67 => ( ( ( ap @ ( c_2Esum_2EINR @ A_27a @ A_27b ) @ V3x )
% 5.44/5.67 = ( ap @ ( c_2Esum_2EINR @ A_27a @ A_27b ) @ V2y ) )
% 5.44/5.67 <=> ( V3x = V2y ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Esum_2EINR__neq__INL,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del,V0v1: $i] :
% 5.44/5.67 ( ( mem @ V0v1 @ A_27a )
% 5.44/5.67 => ! [V1v2: $i] :
% 5.44/5.67 ( ( mem @ V1v2 @ A_27b )
% 5.44/5.67 => ( ( ap @ ( c_2Esum_2EINR @ A_27a @ A_27b ) @ V1v2 )
% 5.44/5.67 != ( ap @ ( c_2Esum_2EINL @ A_27a @ A_27b ) @ V0v1 ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Esum_2Esum__axiom,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.44/5.67 ( ( mem @ V0f @ ( arr @ A_27a @ A_27c ) )
% 5.44/5.67 => ! [V1g: $i] :
% 5.44/5.67 ( ( mem @ V1g @ ( arr @ A_27b @ A_27c ) )
% 5.44/5.67 => ( p
% 5.44/5.67 @ ( ap @ ( c_2Ebool_2E_3F_21 @ ( arr @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) @ A_27c ) )
% 5.44/5.67 @ ( lam @ ( arr @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) @ A_27c )
% 5.44/5.67 @ ^ [V2h: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( arr @ A_27a @ A_27c ) ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27a @ A_27c @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) ) @ V2h ) @ ( c_2Esum_2EINL @ A_27a @ A_27b ) ) ) @ V0f ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( arr @ A_27b @ A_27c ) ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ A_27c @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) ) @ V2h ) @ ( c_2Esum_2EINR @ A_27a @ A_27b ) ) ) @ V1g ) ) ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Esum_2Esum__INDUCT,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.44/5.67 ( ( mem @ V0P @ ( arr @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) @ bool ) )
% 5.44/5.67 => ( ( ! [V1x: $i] :
% 5.44/5.67 ( ( mem @ V1x @ A_27a )
% 5.44/5.67 => ( p @ ( ap @ V0P @ ( ap @ ( c_2Esum_2EINL @ A_27a @ A_27b ) @ V1x ) ) ) )
% 5.44/5.67 & ! [V2y: $i] :
% 5.44/5.67 ( ( mem @ V2y @ A_27b )
% 5.44/5.67 => ( p @ ( ap @ V0P @ ( ap @ ( c_2Esum_2EINR @ A_27a @ A_27b ) @ V2y ) ) ) ) )
% 5.44/5.67 => ! [V3s: $i] :
% 5.44/5.67 ( ( mem @ V3s @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) )
% 5.44/5.67 => ( p @ ( ap @ V0P @ V3s ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Esum_2EFORALL__SUM,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.44/5.67 ( ( mem @ V0P @ ( arr @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) @ bool ) )
% 5.44/5.67 => ( ! [V1s: $i] :
% 5.44/5.67 ( ( mem @ V1s @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) )
% 5.44/5.67 => ( p @ ( ap @ V0P @ V1s ) ) )
% 5.44/5.67 <=> ( ! [V2x: $i] :
% 5.44/5.67 ( ( mem @ V2x @ A_27a )
% 5.44/5.67 => ( p @ ( ap @ V0P @ ( ap @ ( c_2Esum_2EINL @ A_27a @ A_27b ) @ V2x ) ) ) )
% 5.44/5.67 & ! [V3y: $i] :
% 5.44/5.67 ( ( mem @ V3y @ A_27b )
% 5.44/5.67 => ( p @ ( ap @ V0P @ ( ap @ ( c_2Esum_2EINR @ A_27a @ A_27b ) @ V3y ) ) ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Esum_2EEXISTS__SUM,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.44/5.67 ( ( mem @ V0P @ ( arr @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) @ bool ) )
% 5.44/5.67 => ( ? [V1s: $i] :
% 5.44/5.67 ( ( mem @ V1s @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) )
% 5.44/5.67 & ( p @ ( ap @ V0P @ V1s ) ) )
% 5.44/5.67 <=> ( ? [V2x: $i] :
% 5.44/5.67 ( ( mem @ V2x @ A_27a )
% 5.44/5.67 & ( p @ ( ap @ V0P @ ( ap @ ( c_2Esum_2EINL @ A_27a @ A_27b ) @ V2x ) ) ) )
% 5.44/5.67 | ? [V3y: $i] :
% 5.44/5.67 ( ( mem @ V3y @ A_27b )
% 5.44/5.67 & ( p @ ( ap @ V0P @ ( ap @ ( c_2Esum_2EINR @ A_27a @ A_27b ) @ V3y ) ) ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Esum_2Esum__Axiom,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.44/5.67 ( ( mem @ V0f @ ( arr @ A_27a @ A_27c ) )
% 5.44/5.67 => ! [V1g: $i] :
% 5.44/5.67 ( ( mem @ V1g @ ( arr @ A_27b @ A_27c ) )
% 5.44/5.67 => ? [V2h: $i] :
% 5.44/5.67 ( ( mem @ V2h @ ( arr @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) @ A_27c ) )
% 5.44/5.67 & ! [V3x: $i] :
% 5.44/5.67 ( ( mem @ V3x @ A_27a )
% 5.44/5.67 => ( ( ap @ V2h @ ( ap @ ( c_2Esum_2EINL @ A_27a @ A_27b ) @ V3x ) )
% 5.44/5.67 = ( ap @ V0f @ V3x ) ) )
% 5.44/5.67 & ! [V4y: $i] :
% 5.44/5.67 ( ( mem @ V4y @ A_27b )
% 5.44/5.67 => ( ( ap @ V2h @ ( ap @ ( c_2Esum_2EINR @ A_27a @ A_27b ) @ V4y ) )
% 5.44/5.67 = ( ap @ V1g @ V4y ) ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Esum_2Esum__CASES,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del,V0ss: $i] :
% 5.44/5.67 ( ( mem @ V0ss @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) )
% 5.44/5.67 => ( ? [V1x: $i] :
% 5.44/5.67 ( ( mem @ V1x @ A_27a )
% 5.44/5.67 & ( V0ss
% 5.44/5.67 = ( ap @ ( c_2Esum_2EINL @ A_27a @ A_27b ) @ V1x ) ) )
% 5.44/5.67 | ? [V2y: $i] :
% 5.44/5.67 ( ( mem @ V2y @ A_27b )
% 5.44/5.67 & ( V0ss
% 5.44/5.67 = ( ap @ ( c_2Esum_2EINR @ A_27a @ A_27b ) @ V2y ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Esum_2Esum__distinct,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del,V0x: $i] :
% 5.44/5.67 ( ( mem @ V0x @ A_27a )
% 5.44/5.67 => ! [V1y: $i] :
% 5.44/5.67 ( ( mem @ V1y @ A_27b )
% 5.44/5.67 => ( ( ap @ ( c_2Esum_2EINL @ A_27a @ A_27b ) @ V0x )
% 5.44/5.67 != ( ap @ ( c_2Esum_2EINR @ A_27a @ A_27b ) @ V1y ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Esum_2Esum__distinct1,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del,V0x: $i] :
% 5.44/5.67 ( ( mem @ V0x @ A_27a )
% 5.44/5.67 => ! [V1y: $i] :
% 5.44/5.67 ( ( mem @ V1y @ A_27b )
% 5.44/5.67 => ( ( ap @ ( c_2Esum_2EINR @ A_27a @ A_27b ) @ V1y )
% 5.44/5.67 != ( ap @ ( c_2Esum_2EINL @ A_27a @ A_27b ) @ V0x ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(ax_thm_2Esum_2EISL,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del] :
% 5.44/5.67 ( ! [V0x: $i] :
% 5.44/5.67 ( ( mem @ V0x @ A_27a )
% 5.44/5.67 => ( p @ ( ap @ ( c_2Esum_2EISL @ A_27a @ A_27b ) @ ( ap @ ( c_2Esum_2EINL @ A_27a @ A_27b ) @ V0x ) ) ) )
% 5.44/5.67 & ! [V1y: $i] :
% 5.44/5.67 ( ( mem @ V1y @ A_27b )
% 5.44/5.67 => ~ ( p @ ( ap @ ( c_2Esum_2EISL @ A_27a @ A_27b ) @ ( ap @ ( c_2Esum_2EINR @ A_27a @ A_27b ) @ V1y ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(ax_thm_2Esum_2EISR,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del] :
% 5.44/5.67 ( ! [V0x: $i] :
% 5.44/5.67 ( ( mem @ V0x @ A_27b )
% 5.44/5.67 => ( p @ ( ap @ ( c_2Esum_2EISR @ A_27a @ A_27b ) @ ( ap @ ( c_2Esum_2EINR @ A_27a @ A_27b ) @ V0x ) ) ) )
% 5.44/5.67 & ! [V1y: $i] :
% 5.44/5.67 ( ( mem @ V1y @ A_27a )
% 5.44/5.67 => ~ ( p @ ( ap @ ( c_2Esum_2EISR @ A_27a @ A_27b ) @ ( ap @ ( c_2Esum_2EINL @ A_27a @ A_27b ) @ V1y ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(ax_thm_2Esum_2EOUTL,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del,V0x: $i] :
% 5.44/5.67 ( ( mem @ V0x @ A_27a )
% 5.44/5.67 => ( ( ap @ ( c_2Esum_2EOUTL @ A_27a @ A_27b ) @ ( ap @ ( c_2Esum_2EINL @ A_27a @ A_27b ) @ V0x ) )
% 5.44/5.67 = V0x ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(ax_thm_2Esum_2EOUTR,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del,V0x: $i] :
% 5.44/5.67 ( ( mem @ V0x @ A_27b )
% 5.44/5.67 => ( ( ap @ ( c_2Esum_2EOUTR @ A_27a @ A_27b ) @ ( ap @ ( c_2Esum_2EINR @ A_27a @ A_27b ) @ V0x ) )
% 5.44/5.67 = V0x ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Esum_2EISL__OR__ISR,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del,V0x: $i] :
% 5.44/5.67 ( ( mem @ V0x @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) )
% 5.44/5.67 => ( ( p @ ( ap @ ( c_2Esum_2EISL @ A_27a @ A_27b ) @ V0x ) )
% 5.44/5.67 | ( p @ ( ap @ ( c_2Esum_2EISR @ A_27a @ A_27b ) @ V0x ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Esum_2EINL,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del,V0x: $i] :
% 5.44/5.67 ( ( mem @ V0x @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) )
% 5.44/5.67 => ( ( p @ ( ap @ ( c_2Esum_2EISL @ A_27a @ A_27b ) @ V0x ) )
% 5.44/5.67 => ( ( ap @ ( c_2Esum_2EINL @ A_27a @ A_27b ) @ ( ap @ ( c_2Esum_2EOUTL @ A_27a @ A_27b ) @ V0x ) )
% 5.44/5.67 = V0x ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Esum_2EINR,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del,V0x: $i] :
% 5.44/5.67 ( ( mem @ V0x @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) )
% 5.44/5.67 => ( ( p @ ( ap @ ( c_2Esum_2EISR @ A_27a @ A_27b ) @ V0x ) )
% 5.44/5.67 => ( ( ap @ ( c_2Esum_2EINR @ A_27a @ A_27b ) @ ( ap @ ( c_2Esum_2EOUTR @ A_27a @ A_27b ) @ V0x ) )
% 5.44/5.67 = V0x ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(ax_thm_2Esum_2Esum__case__def,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del,A_27c: del] :
% 5.44/5.67 ( ! [V0x: $i] :
% 5.44/5.67 ( ( mem @ V0x @ A_27a )
% 5.44/5.67 => ! [V1f: $i] :
% 5.44/5.67 ( ( mem @ V1f @ ( arr @ A_27a @ A_27c ) )
% 5.44/5.67 => ! [V2f1: $i] :
% 5.44/5.67 ( ( mem @ V2f1 @ ( arr @ A_27b @ A_27c ) )
% 5.44/5.67 => ( ( ap @ ( ap @ ( ap @ ( c_2Esum_2Esum__CASE @ A_27a @ A_27b @ A_27c ) @ ( ap @ ( c_2Esum_2EINL @ A_27a @ A_27b ) @ V0x ) ) @ V1f ) @ V2f1 )
% 5.44/5.67 = ( ap @ V1f @ V0x ) ) ) ) )
% 5.44/5.67 & ! [V3y: $i] :
% 5.44/5.67 ( ( mem @ V3y @ A_27b )
% 5.44/5.67 => ! [V4f: $i] :
% 5.44/5.67 ( ( mem @ V4f @ ( arr @ A_27a @ A_27c ) )
% 5.44/5.67 => ! [V5f1: $i] :
% 5.44/5.67 ( ( mem @ V5f1 @ ( arr @ A_27b @ A_27c ) )
% 5.44/5.67 => ( ( ap @ ( ap @ ( ap @ ( c_2Esum_2Esum__CASE @ A_27a @ A_27b @ A_27c ) @ ( ap @ ( c_2Esum_2EINR @ A_27a @ A_27b ) @ V3y ) ) @ V4f ) @ V5f1 )
% 5.44/5.67 = ( ap @ V5f1 @ V3y ) ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Esum_2Esum__case__cong,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del,A_27c: del,V0f_27: $i] :
% 5.44/5.67 ( ( mem @ V0f_27 @ ( arr @ A_27a @ A_27c ) )
% 5.44/5.67 => ! [V1f1_27: $i] :
% 5.44/5.67 ( ( mem @ V1f1_27 @ ( arr @ A_27b @ A_27c ) )
% 5.44/5.67 => ! [V2M: $i] :
% 5.44/5.67 ( ( mem @ V2M @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) )
% 5.44/5.67 => ! [V3M_27: $i] :
% 5.44/5.67 ( ( mem @ V3M_27 @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) )
% 5.44/5.67 => ! [V4f: $i] :
% 5.44/5.67 ( ( mem @ V4f @ ( arr @ A_27a @ A_27c ) )
% 5.44/5.67 => ! [V5f1: $i] :
% 5.44/5.67 ( ( mem @ V5f1 @ ( arr @ A_27b @ A_27c ) )
% 5.44/5.67 => ( ( ( V2M = V3M_27 )
% 5.44/5.67 & ! [V6x: $i] :
% 5.44/5.67 ( ( mem @ V6x @ A_27a )
% 5.44/5.67 => ( ( V3M_27
% 5.44/5.67 = ( ap @ ( c_2Esum_2EINL @ A_27a @ A_27b ) @ V6x ) )
% 5.44/5.67 => ( ( ap @ V4f @ V6x )
% 5.44/5.67 = ( ap @ V0f_27 @ V6x ) ) ) )
% 5.44/5.67 & ! [V7y: $i] :
% 5.44/5.67 ( ( mem @ V7y @ A_27b )
% 5.44/5.67 => ( ( V3M_27
% 5.44/5.67 = ( ap @ ( c_2Esum_2EINR @ A_27a @ A_27b ) @ V7y ) )
% 5.44/5.67 => ( ( ap @ V5f1 @ V7y )
% 5.44/5.67 = ( ap @ V1f1_27 @ V7y ) ) ) ) )
% 5.44/5.67 => ( ( ap @ ( ap @ ( ap @ ( c_2Esum_2Esum__CASE @ A_27a @ A_27b @ A_27c ) @ V2M ) @ V4f ) @ V5f1 )
% 5.44/5.67 = ( ap @ ( ap @ ( ap @ ( c_2Esum_2Esum__CASE @ A_27a @ A_27b @ A_27c ) @ V3M_27 ) @ V0f_27 ) @ V1f1_27 ) ) ) ) ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(ax_thm_2Esum_2ESUM__MAP__def,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del] :
% 5.44/5.67 ( ! [V0f: $i] :
% 5.44/5.67 ( ( mem @ V0f @ ( arr @ A_27a @ A_27c ) )
% 5.44/5.67 => ! [V1g: $i] :
% 5.44/5.67 ( ( mem @ V1g @ ( arr @ A_27b @ A_27d ) )
% 5.44/5.67 => ! [V2a: $i] :
% 5.44/5.67 ( ( mem @ V2a @ A_27a )
% 5.44/5.67 => ( ( ap @ ( ap @ ( ap @ ( c_2Esum_2E_2B_2B @ A_27a @ A_27b @ A_27c @ A_27d ) @ V0f ) @ V1g ) @ ( ap @ ( c_2Esum_2EINL @ A_27a @ A_27b ) @ V2a ) )
% 5.44/5.67 = ( ap @ ( c_2Esum_2EINL @ A_27c @ A_27d ) @ ( ap @ V0f @ V2a ) ) ) ) ) )
% 5.44/5.67 & ! [V3f: $i] :
% 5.44/5.67 ( ( mem @ V3f @ ( arr @ A_27a @ A_27c ) )
% 5.44/5.67 => ! [V4g: $i] :
% 5.44/5.67 ( ( mem @ V4g @ ( arr @ A_27b @ A_27d ) )
% 5.44/5.67 => ! [V5b: $i] :
% 5.44/5.67 ( ( mem @ V5b @ A_27b )
% 5.44/5.67 => ( ( ap @ ( ap @ ( ap @ ( c_2Esum_2E_2B_2B @ A_27a @ A_27b @ A_27c @ A_27d ) @ V3f ) @ V4g ) @ ( ap @ ( c_2Esum_2EINR @ A_27a @ A_27b ) @ V5b ) )
% 5.44/5.67 = ( ap @ ( c_2Esum_2EINR @ A_27c @ A_27d ) @ ( ap @ V4g @ V5b ) ) ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Esum_2ESUM__MAP,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0f: $i] :
% 5.44/5.67 ( ( mem @ V0f @ ( arr @ A_27a @ A_27c ) )
% 5.44/5.67 => ! [V1g: $i] :
% 5.44/5.67 ( ( mem @ V1g @ ( arr @ A_27b @ A_27d ) )
% 5.44/5.67 => ! [V2z: $i] :
% 5.44/5.67 ( ( mem @ V2z @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) )
% 5.44/5.67 => ( ( ap @ ( ap @ ( ap @ ( c_2Esum_2E_2B_2B @ A_27a @ A_27b @ A_27c @ A_27d ) @ V0f ) @ V1g ) @ V2z )
% 5.44/5.67 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Esum_2Esum @ A_27c @ A_27d ) ) @ ( ap @ ( c_2Esum_2EISL @ A_27a @ A_27b ) @ V2z ) ) @ ( ap @ ( c_2Esum_2EINL @ A_27c @ A_27d ) @ ( ap @ V0f @ ( ap @ ( c_2Esum_2EOUTL @ A_27a @ A_27b ) @ V2z ) ) ) ) @ ( ap @ ( c_2Esum_2EINR @ A_27c @ A_27d ) @ ( ap @ V1g @ ( ap @ ( c_2Esum_2EOUTR @ A_27a @ A_27b ) @ V2z ) ) ) ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Esum_2ESUM__MAP__CASE,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0f: $i] :
% 5.44/5.67 ( ( mem @ V0f @ ( arr @ A_27a @ A_27c ) )
% 5.44/5.67 => ! [V1g: $i] :
% 5.44/5.67 ( ( mem @ V1g @ ( arr @ A_27b @ A_27d ) )
% 5.44/5.67 => ! [V2z: $i] :
% 5.44/5.67 ( ( mem @ V2z @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) )
% 5.44/5.67 => ( ( ap @ ( ap @ ( ap @ ( c_2Esum_2E_2B_2B @ A_27a @ A_27b @ A_27c @ A_27d ) @ V0f ) @ V1g ) @ V2z )
% 5.44/5.67 = ( ap @ ( ap @ ( ap @ ( c_2Esum_2Esum__CASE @ A_27a @ A_27b @ ( ty_2Esum_2Esum @ A_27c @ A_27d ) ) @ V2z ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27a @ ( ty_2Esum_2Esum @ A_27c @ A_27d ) @ A_27c ) @ ( c_2Esum_2EINL @ A_27c @ A_27d ) ) @ V0f ) ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Esum_2Esum @ A_27c @ A_27d ) @ A_27d ) @ ( c_2Esum_2EINR @ A_27c @ A_27d ) ) @ V1g ) ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Esum_2ESUM__MAP__I,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del] :
% 5.44/5.67 ( ( ap @ ( ap @ ( c_2Esum_2E_2B_2B @ A_27a @ A_27b @ A_27a @ A_27b ) @ ( c_2Ecombin_2EI @ A_27a ) ) @ ( c_2Ecombin_2EI @ A_27b ) )
% 5.44/5.67 = ( c_2Ecombin_2EI @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Esum_2Econd__sum__expand,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,A_27e: del,A_27f: del,A_27g: del,A_27h: del,V0P: $i] :
% 5.44/5.67 ( ( mem @ V0P @ bool )
% 5.44/5.67 => ( ! [V1x: $i] :
% 5.44/5.67 ( ( mem @ V1x @ A_27a )
% 5.44/5.67 => ! [V2y: $i] :
% 5.44/5.67 ( ( mem @ V2y @ A_27b )
% 5.44/5.67 => ! [V3z: $i] :
% 5.44/5.67 ( ( mem @ V3z @ A_27a )
% 5.44/5.67 => ( ( ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Esum_2Esum @ A_27b @ A_27a ) ) @ V0P ) @ ( ap @ ( c_2Esum_2EINR @ A_27b @ A_27a ) @ V1x ) ) @ ( ap @ ( c_2Esum_2EINL @ A_27b @ A_27a ) @ V2y ) )
% 5.44/5.67 = ( ap @ ( c_2Esum_2EINR @ A_27b @ A_27a ) @ V3z ) )
% 5.44/5.67 <=> ( ( p @ V0P )
% 5.44/5.67 & ( V3z = V1x ) ) ) ) ) )
% 5.44/5.67 & ! [V4x: $i] :
% 5.44/5.67 ( ( mem @ V4x @ A_27c )
% 5.44/5.67 => ! [V5y: $i] :
% 5.44/5.67 ( ( mem @ V5y @ A_27d )
% 5.44/5.67 => ! [V6z: $i] :
% 5.44/5.67 ( ( mem @ V6z @ A_27d )
% 5.44/5.67 => ( ( ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Esum_2Esum @ A_27d @ A_27c ) ) @ V0P ) @ ( ap @ ( c_2Esum_2EINR @ A_27d @ A_27c ) @ V4x ) ) @ ( ap @ ( c_2Esum_2EINL @ A_27d @ A_27c ) @ V5y ) )
% 5.44/5.67 = ( ap @ ( c_2Esum_2EINL @ A_27d @ A_27c ) @ V6z ) )
% 5.44/5.67 <=> ( ~ ( p @ V0P )
% 5.44/5.67 & ( V6z = V5y ) ) ) ) ) )
% 5.44/5.67 & ! [V7x: $i] :
% 5.44/5.67 ( ( mem @ V7x @ A_27e )
% 5.44/5.67 => ! [V8y: $i] :
% 5.44/5.67 ( ( mem @ V8y @ A_27f )
% 5.44/5.67 => ! [V9z: $i] :
% 5.44/5.67 ( ( mem @ V9z @ A_27e )
% 5.44/5.67 => ( ( ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Esum_2Esum @ A_27e @ A_27f ) ) @ V0P ) @ ( ap @ ( c_2Esum_2EINL @ A_27e @ A_27f ) @ V7x ) ) @ ( ap @ ( c_2Esum_2EINR @ A_27e @ A_27f ) @ V8y ) )
% 5.44/5.67 = ( ap @ ( c_2Esum_2EINL @ A_27e @ A_27f ) @ V9z ) )
% 5.44/5.67 <=> ( ( p @ V0P )
% 5.44/5.67 & ( V9z = V7x ) ) ) ) ) )
% 5.44/5.67 & ! [V10x: $i] :
% 5.44/5.67 ( ( mem @ V10x @ A_27g )
% 5.44/5.67 => ! [V11y: $i] :
% 5.44/5.67 ( ( mem @ V11y @ A_27h )
% 5.44/5.67 => ! [V12z: $i] :
% 5.44/5.67 ( ( mem @ V12z @ A_27h )
% 5.44/5.67 => ( ( ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Esum_2Esum @ A_27g @ A_27h ) ) @ V0P ) @ ( ap @ ( c_2Esum_2EINL @ A_27g @ A_27h ) @ V10x ) ) @ ( ap @ ( c_2Esum_2EINR @ A_27g @ A_27h ) @ V11y ) )
% 5.44/5.67 = ( ap @ ( c_2Esum_2EINR @ A_27g @ A_27h ) @ V12z ) )
% 5.44/5.67 <=> ( ~ ( p @ V0P )
% 5.44/5.67 & ( V12z = V11y ) ) ) ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Esum_2ENOT__ISL__ISR,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del,V0x: $i] :
% 5.44/5.67 ( ( mem @ V0x @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) )
% 5.44/5.67 => ( ~ ( p @ ( ap @ ( c_2Esum_2EISL @ A_27a @ A_27b ) @ V0x ) )
% 5.44/5.67 <=> ( p @ ( ap @ ( c_2Esum_2EISR @ A_27a @ A_27b ) @ V0x ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Esum_2ENOT__ISR__ISL,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del,V0x: $i] :
% 5.44/5.67 ( ( mem @ V0x @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) )
% 5.44/5.67 => ( ~ ( p @ ( ap @ ( c_2Esum_2EISR @ A_27a @ A_27b ) @ V0x ) )
% 5.44/5.67 <=> ( p @ ( ap @ ( c_2Esum_2EISL @ A_27a @ A_27b ) @ V0x ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(ax_thm_2Esum_2ESUM__ALL__def,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del] :
% 5.44/5.67 ( ! [V0P: $i] :
% 5.44/5.67 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.44/5.67 => ! [V1Q: $i] :
% 5.44/5.67 ( ( mem @ V1Q @ ( arr @ A_27b @ bool ) )
% 5.44/5.67 => ! [V2x: $i] :
% 5.44/5.67 ( ( mem @ V2x @ A_27a )
% 5.44/5.67 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Esum_2ESUM__ALL @ A_27a @ A_27b ) @ V0P ) @ V1Q ) @ ( ap @ ( c_2Esum_2EINL @ A_27a @ A_27b ) @ V2x ) ) )
% 5.44/5.67 <=> ( p @ ( ap @ V0P @ V2x ) ) ) ) ) )
% 5.44/5.67 & ! [V3P: $i] :
% 5.44/5.67 ( ( mem @ V3P @ ( arr @ A_27a @ bool ) )
% 5.44/5.67 => ! [V4Q: $i] :
% 5.44/5.67 ( ( mem @ V4Q @ ( arr @ A_27b @ bool ) )
% 5.44/5.67 => ! [V5y: $i] :
% 5.44/5.67 ( ( mem @ V5y @ A_27b )
% 5.44/5.67 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Esum_2ESUM__ALL @ A_27a @ A_27b ) @ V3P ) @ V4Q ) @ ( ap @ ( c_2Esum_2EINR @ A_27a @ A_27b ) @ V5y ) ) )
% 5.44/5.67 <=> ( p @ ( ap @ V4Q @ V5y ) ) ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Esum_2ESUM__ALL__MONO,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.44/5.67 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.44/5.67 => ! [V1P_27: $i] :
% 5.44/5.67 ( ( mem @ V1P_27 @ ( arr @ A_27a @ bool ) )
% 5.44/5.67 => ! [V2Q: $i] :
% 5.44/5.67 ( ( mem @ V2Q @ ( arr @ A_27b @ bool ) )
% 5.44/5.67 => ! [V3Q_27: $i] :
% 5.44/5.67 ( ( mem @ V3Q_27 @ ( arr @ A_27b @ bool ) )
% 5.44/5.67 => ! [V4s: $i] :
% 5.44/5.67 ( ( mem @ V4s @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) )
% 5.44/5.67 => ( ( ! [V5x: $i] :
% 5.44/5.67 ( ( mem @ V5x @ A_27a )
% 5.44/5.67 => ( ( p @ ( ap @ V0P @ V5x ) )
% 5.44/5.67 => ( p @ ( ap @ V1P_27 @ V5x ) ) ) )
% 5.44/5.67 & ! [V6y: $i] :
% 5.44/5.67 ( ( mem @ V6y @ A_27b )
% 5.44/5.67 => ( ( p @ ( ap @ V2Q @ V6y ) )
% 5.44/5.67 => ( p @ ( ap @ V3Q_27 @ V6y ) ) ) ) )
% 5.44/5.67 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Esum_2ESUM__ALL @ A_27a @ A_27b ) @ V0P ) @ V2Q ) @ V4s ) )
% 5.44/5.67 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Esum_2ESUM__ALL @ A_27a @ A_27b ) @ V1P_27 ) @ V3Q_27 ) @ V4s ) ) ) ) ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Esum_2ESUM__ALL__CONG,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.44/5.67 ( ( mem @ V0s @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) )
% 5.44/5.67 => ! [V1s_27: $i] :
% 5.44/5.67 ( ( mem @ V1s_27 @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) )
% 5.44/5.67 => ! [V2P: $i] :
% 5.44/5.67 ( ( mem @ V2P @ ( arr @ A_27a @ bool ) )
% 5.44/5.67 => ! [V3P_27: $i] :
% 5.44/5.67 ( ( mem @ V3P_27 @ ( arr @ A_27a @ bool ) )
% 5.44/5.67 => ! [V4Q: $i] :
% 5.44/5.67 ( ( mem @ V4Q @ ( arr @ A_27b @ bool ) )
% 5.44/5.67 => ! [V5Q_27: $i] :
% 5.44/5.67 ( ( mem @ V5Q_27 @ ( arr @ A_27b @ bool ) )
% 5.44/5.67 => ( ( ( V0s = V1s_27 )
% 5.44/5.67 & ! [V6a: $i] :
% 5.44/5.67 ( ( mem @ V6a @ A_27a )
% 5.44/5.67 => ( ( V1s_27
% 5.44/5.67 = ( ap @ ( c_2Esum_2EINL @ A_27a @ A_27b ) @ V6a ) )
% 5.44/5.67 => ( ( p @ ( ap @ V2P @ V6a ) )
% 5.44/5.67 <=> ( p @ ( ap @ V3P_27 @ V6a ) ) ) ) )
% 5.44/5.67 & ! [V7b: $i] :
% 5.44/5.67 ( ( mem @ V7b @ A_27b )
% 5.44/5.67 => ( ( V1s_27
% 5.44/5.67 = ( ap @ ( c_2Esum_2EINR @ A_27a @ A_27b ) @ V7b ) )
% 5.44/5.67 => ( ( p @ ( ap @ V4Q @ V7b ) )
% 5.44/5.67 <=> ( p @ ( ap @ V5Q_27 @ V7b ) ) ) ) ) )
% 5.44/5.67 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Esum_2ESUM__ALL @ A_27a @ A_27b ) @ V2P ) @ V4Q ) @ V0s ) )
% 5.44/5.67 <=> ( p @ ( ap @ ( ap @ ( ap @ ( c_2Esum_2ESUM__ALL @ A_27a @ A_27b ) @ V3P_27 ) @ V5Q_27 ) @ V1s_27 ) ) ) ) ) ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Esum_2Edatatype__sum,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del,A_27c: del,V0sum: $i] :
% 5.44/5.67 ( ( mem @ V0sum @ ( arr @ ( arr @ A_27a @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) ) @ ( arr @ ( arr @ A_27b @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) ) @ A_27c ) ) )
% 5.44/5.67 => ( p @ ( ap @ ( c_2Ebool_2EDATATYPE @ A_27c ) @ ( ap @ ( ap @ V0sum @ ( c_2Esum_2EINL @ A_27a @ A_27b ) ) @ ( c_2Esum_2EINR @ A_27a @ A_27b ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 %------------------------------------------------------------------------------
% 5.44/5.67 %------------------------------------------------------------------------------
% 5.44/5.67 thf(tp_c_2Erelation_2ECR,type,
% 5.44/5.67 c_2Erelation_2ECR: del > $i ).
% 5.44/5.67
% 5.44/5.67 thf(mem_c_2Erelation_2ECR,axiom,
% 5.44/5.67 ! [A_27a: del] : ( mem @ ( c_2Erelation_2ECR @ A_27a ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) @ bool ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(tp_c_2Erelation_2EEMPTY__REL,type,
% 5.44/5.67 c_2Erelation_2EEMPTY__REL: del > $i ).
% 5.44/5.67
% 5.44/5.67 thf(mem_c_2Erelation_2EEMPTY__REL,axiom,
% 5.44/5.67 ! [A_27a: del] : ( mem @ ( c_2Erelation_2EEMPTY__REL @ A_27a ) @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(tp_c_2Erelation_2EEQC,type,
% 5.44/5.67 c_2Erelation_2EEQC: del > $i ).
% 5.44/5.67
% 5.44/5.67 thf(mem_c_2Erelation_2EEQC,axiom,
% 5.44/5.67 ! [A_27a: del] : ( mem @ ( c_2Erelation_2EEQC @ A_27a ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(tp_c_2Erelation_2EIDEM,type,
% 5.44/5.67 c_2Erelation_2EIDEM: del > $i ).
% 5.44/5.67
% 5.44/5.67 thf(mem_c_2Erelation_2EIDEM,axiom,
% 5.44/5.67 ! [A_27z: del] : ( mem @ ( c_2Erelation_2EIDEM @ A_27z ) @ ( arr @ ( arr @ A_27z @ A_27z ) @ bool ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(tp_c_2Erelation_2EINDUCTIVE__INVARIANT,type,
% 5.44/5.67 c_2Erelation_2EINDUCTIVE__INVARIANT: del > del > $i ).
% 5.44/5.67
% 5.44/5.67 thf(mem_c_2Erelation_2EINDUCTIVE__INVARIANT,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Erelation_2EINDUCTIVE__INVARIANT @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) @ ( arr @ ( arr @ ( arr @ A_27a @ A_27b ) @ ( arr @ A_27a @ A_27b ) ) @ bool ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(tp_c_2Erelation_2EINDUCTIVE__INVARIANT__ON,type,
% 5.44/5.67 c_2Erelation_2EINDUCTIVE__INVARIANT__ON: del > del > $i ).
% 5.44/5.67
% 5.44/5.67 thf(mem_c_2Erelation_2EINDUCTIVE__INVARIANT__ON,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Erelation_2EINDUCTIVE__INVARIANT__ON @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) @ ( arr @ ( arr @ ( arr @ A_27a @ A_27b ) @ ( arr @ A_27a @ A_27b ) ) @ bool ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(tp_c_2Erelation_2EINVOL,type,
% 5.44/5.67 c_2Erelation_2EINVOL: del > $i ).
% 5.44/5.67
% 5.44/5.67 thf(mem_c_2Erelation_2EINVOL,axiom,
% 5.44/5.67 ! [A_27z: del] : ( mem @ ( c_2Erelation_2EINVOL @ A_27z ) @ ( arr @ ( arr @ A_27z @ A_27z ) @ bool ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(tp_c_2Erelation_2ELinearOrder,type,
% 5.44/5.67 c_2Erelation_2ELinearOrder: del > $i ).
% 5.44/5.67
% 5.44/5.67 thf(mem_c_2Erelation_2ELinearOrder,axiom,
% 5.44/5.67 ! [A_27a: del] : ( mem @ ( c_2Erelation_2ELinearOrder @ A_27a ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) @ bool ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(tp_c_2Erelation_2EO,type,
% 5.44/5.67 c_2Erelation_2EO: del > del > del > $i ).
% 5.44/5.67
% 5.44/5.67 thf(mem_c_2Erelation_2EO,axiom,
% 5.44/5.67 ! [A_27g: del,A_27h: del,A_27k: del] : ( mem @ ( c_2Erelation_2EO @ A_27g @ A_27h @ A_27k ) @ ( arr @ ( arr @ A_27h @ ( arr @ A_27k @ bool ) ) @ ( arr @ ( arr @ A_27g @ ( arr @ A_27h @ bool ) ) @ ( arr @ A_27g @ ( arr @ A_27k @ bool ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(tp_c_2Erelation_2EOrder,type,
% 5.44/5.67 c_2Erelation_2EOrder: del > $i ).
% 5.44/5.67
% 5.44/5.67 thf(mem_c_2Erelation_2EOrder,axiom,
% 5.44/5.67 ! [A_27g: del] : ( mem @ ( c_2Erelation_2EOrder @ A_27g ) @ ( arr @ ( arr @ A_27g @ ( arr @ A_27g @ bool ) ) @ bool ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(tp_c_2Erelation_2EPreOrder,type,
% 5.44/5.67 c_2Erelation_2EPreOrder: del > $i ).
% 5.44/5.67
% 5.44/5.67 thf(mem_c_2Erelation_2EPreOrder,axiom,
% 5.44/5.67 ! [A_27a: del] : ( mem @ ( c_2Erelation_2EPreOrder @ A_27a ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) @ bool ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(tp_c_2Erelation_2ERC,type,
% 5.44/5.67 c_2Erelation_2ERC: del > $i ).
% 5.44/5.67
% 5.44/5.67 thf(mem_c_2Erelation_2ERC,axiom,
% 5.44/5.67 ! [A_27a: del] : ( mem @ ( c_2Erelation_2ERC @ A_27a ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(tp_c_2Erelation_2ERCOMPL,type,
% 5.44/5.67 c_2Erelation_2ERCOMPL: del > del > $i ).
% 5.44/5.67
% 5.44/5.67 thf(mem_c_2Erelation_2ERCOMPL,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Erelation_2ERCOMPL @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(tp_c_2Erelation_2ERDOM,type,
% 5.44/5.67 c_2Erelation_2ERDOM: del > del > $i ).
% 5.44/5.67
% 5.44/5.67 thf(mem_c_2Erelation_2ERDOM,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Erelation_2ERDOM @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) @ ( arr @ A_27a @ bool ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(tp_c_2Erelation_2ERDOM__DELETE,type,
% 5.44/5.67 c_2Erelation_2ERDOM__DELETE: del > del > $i ).
% 5.44/5.67
% 5.44/5.67 thf(mem_c_2Erelation_2ERDOM__DELETE,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Erelation_2ERDOM__DELETE @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(tp_c_2Erelation_2ERESTRICT,type,
% 5.44/5.67 c_2Erelation_2ERESTRICT: del > del > $i ).
% 5.44/5.67
% 5.44/5.67 thf(mem_c_2Erelation_2ERESTRICT,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Erelation_2ERESTRICT @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27b ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(tp_c_2Erelation_2ERINTER,type,
% 5.44/5.67 c_2Erelation_2ERINTER: del > del > $i ).
% 5.44/5.67
% 5.44/5.67 thf(mem_c_2Erelation_2ERINTER,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Erelation_2ERINTER @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(tp_c_2Erelation_2ERRANGE,type,
% 5.44/5.67 c_2Erelation_2ERRANGE: del > del > $i ).
% 5.44/5.67
% 5.44/5.67 thf(mem_c_2Erelation_2ERRANGE,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Erelation_2ERRANGE @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) @ ( arr @ A_27b @ bool ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(tp_c_2Erelation_2ERRESTRICT,type,
% 5.44/5.67 c_2Erelation_2ERRESTRICT: del > del > $i ).
% 5.44/5.67
% 5.44/5.67 thf(mem_c_2Erelation_2ERRESTRICT,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Erelation_2ERRESTRICT @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(tp_c_2Erelation_2ERSUBSET,type,
% 5.44/5.67 c_2Erelation_2ERSUBSET: del > del > $i ).
% 5.44/5.67
% 5.44/5.67 thf(mem_c_2Erelation_2ERSUBSET,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Erelation_2ERSUBSET @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) @ bool ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(tp_c_2Erelation_2ERTC,type,
% 5.44/5.67 c_2Erelation_2ERTC: del > $i ).
% 5.44/5.67
% 5.44/5.67 thf(mem_c_2Erelation_2ERTC,axiom,
% 5.44/5.67 ! [A_27a: del] : ( mem @ ( c_2Erelation_2ERTC @ A_27a ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(tp_c_2Erelation_2ERUNION,type,
% 5.44/5.67 c_2Erelation_2ERUNION: del > del > $i ).
% 5.44/5.67
% 5.44/5.67 thf(mem_c_2Erelation_2ERUNION,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Erelation_2ERUNION @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(tp_c_2Erelation_2ERUNIV,type,
% 5.44/5.67 c_2Erelation_2ERUNIV: del > del > $i ).
% 5.44/5.67
% 5.44/5.67 thf(mem_c_2Erelation_2ERUNIV,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Erelation_2ERUNIV @ A_27a @ A_27b ) @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(tp_c_2Erelation_2ESC,type,
% 5.44/5.67 c_2Erelation_2ESC: del > $i ).
% 5.44/5.67
% 5.44/5.67 thf(mem_c_2Erelation_2ESC,axiom,
% 5.44/5.67 ! [A_27a: del] : ( mem @ ( c_2Erelation_2ESC @ A_27a ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(tp_c_2Erelation_2ESN,type,
% 5.44/5.67 c_2Erelation_2ESN: del > $i ).
% 5.44/5.67
% 5.44/5.67 thf(mem_c_2Erelation_2ESN,axiom,
% 5.44/5.67 ! [A_27a: del] : ( mem @ ( c_2Erelation_2ESN @ A_27a ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) @ bool ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(tp_c_2Erelation_2ESTRORD,type,
% 5.44/5.67 c_2Erelation_2ESTRORD: del > $i ).
% 5.44/5.67
% 5.44/5.67 thf(mem_c_2Erelation_2ESTRORD,axiom,
% 5.44/5.67 ! [A_27a: del] : ( mem @ ( c_2Erelation_2ESTRORD @ A_27a ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(tp_c_2Erelation_2EStrongLinearOrder,type,
% 5.44/5.67 c_2Erelation_2EStrongLinearOrder: del > $i ).
% 5.44/5.67
% 5.44/5.67 thf(mem_c_2Erelation_2EStrongLinearOrder,axiom,
% 5.44/5.67 ! [A_27a: del] : ( mem @ ( c_2Erelation_2EStrongLinearOrder @ A_27a ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) @ bool ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(tp_c_2Erelation_2EStrongOrder,type,
% 5.44/5.67 c_2Erelation_2EStrongOrder: del > $i ).
% 5.44/5.67
% 5.44/5.67 thf(mem_c_2Erelation_2EStrongOrder,axiom,
% 5.44/5.67 ! [A_27g: del] : ( mem @ ( c_2Erelation_2EStrongOrder @ A_27g ) @ ( arr @ ( arr @ A_27g @ ( arr @ A_27g @ bool ) ) @ bool ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(tp_c_2Erelation_2ETC,type,
% 5.44/5.67 c_2Erelation_2ETC: del > $i ).
% 5.44/5.67
% 5.44/5.67 thf(mem_c_2Erelation_2ETC,axiom,
% 5.44/5.67 ! [A_27a: del] : ( mem @ ( c_2Erelation_2ETC @ A_27a ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(tp_c_2Erelation_2EWCR,type,
% 5.44/5.67 c_2Erelation_2EWCR: del > $i ).
% 5.44/5.67
% 5.44/5.67 thf(mem_c_2Erelation_2EWCR,axiom,
% 5.44/5.67 ! [A_27a: del] : ( mem @ ( c_2Erelation_2EWCR @ A_27a ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) @ bool ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(tp_c_2Erelation_2EWF,type,
% 5.44/5.67 c_2Erelation_2EWF: del > $i ).
% 5.44/5.67
% 5.44/5.67 thf(mem_c_2Erelation_2EWF,axiom,
% 5.44/5.67 ! [A_27a: del] : ( mem @ ( c_2Erelation_2EWF @ A_27a ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) @ bool ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(tp_c_2Erelation_2EWFP,type,
% 5.44/5.67 c_2Erelation_2EWFP: del > $i ).
% 5.44/5.67
% 5.44/5.67 thf(mem_c_2Erelation_2EWFP,axiom,
% 5.44/5.67 ! [A_27a: del] : ( mem @ ( c_2Erelation_2EWFP @ A_27a ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) @ ( arr @ A_27a @ bool ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(tp_c_2Erelation_2EWFREC,type,
% 5.44/5.67 c_2Erelation_2EWFREC: del > del > $i ).
% 5.44/5.67
% 5.44/5.67 thf(mem_c_2Erelation_2EWFREC,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Erelation_2EWFREC @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) @ ( arr @ ( arr @ ( arr @ A_27a @ A_27b ) @ ( arr @ A_27a @ A_27b ) ) @ ( arr @ A_27a @ A_27b ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(tp_c_2Erelation_2EWeakLinearOrder,type,
% 5.44/5.67 c_2Erelation_2EWeakLinearOrder: del > $i ).
% 5.44/5.67
% 5.44/5.67 thf(mem_c_2Erelation_2EWeakLinearOrder,axiom,
% 5.44/5.67 ! [A_27a: del] : ( mem @ ( c_2Erelation_2EWeakLinearOrder @ A_27a ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) @ bool ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(tp_c_2Erelation_2EWeakOrder,type,
% 5.44/5.67 c_2Erelation_2EWeakOrder: del > $i ).
% 5.44/5.67
% 5.44/5.67 thf(mem_c_2Erelation_2EWeakOrder,axiom,
% 5.44/5.67 ! [A_27g: del] : ( mem @ ( c_2Erelation_2EWeakOrder @ A_27g ) @ ( arr @ ( arr @ A_27g @ ( arr @ A_27g @ bool ) ) @ bool ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(tp_c_2Erelation_2Eantisymmetric,type,
% 5.44/5.67 c_2Erelation_2Eantisymmetric: del > $i ).
% 5.44/5.67
% 5.44/5.67 thf(mem_c_2Erelation_2Eantisymmetric,axiom,
% 5.44/5.67 ! [A_27a: del] : ( mem @ ( c_2Erelation_2Eantisymmetric @ A_27a ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) @ bool ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(tp_c_2Erelation_2Eapprox,type,
% 5.44/5.67 c_2Erelation_2Eapprox: del > del > $i ).
% 5.44/5.67
% 5.44/5.67 thf(mem_c_2Erelation_2Eapprox,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Erelation_2Eapprox @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) @ ( arr @ ( arr @ ( arr @ A_27a @ A_27b ) @ ( arr @ A_27a @ A_27b ) ) @ ( arr @ A_27a @ ( arr @ ( arr @ A_27a @ A_27b ) @ bool ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(tp_c_2Erelation_2Ediag,type,
% 5.44/5.67 c_2Erelation_2Ediag: del > $i ).
% 5.44/5.67
% 5.44/5.67 thf(mem_c_2Erelation_2Ediag,axiom,
% 5.44/5.67 ! [A_27a: del] : ( mem @ ( c_2Erelation_2Ediag @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(tp_c_2Erelation_2Ediamond,type,
% 5.44/5.67 c_2Erelation_2Ediamond: del > $i ).
% 5.44/5.67
% 5.44/5.67 thf(mem_c_2Erelation_2Ediamond,axiom,
% 5.44/5.67 ! [A_27a: del] : ( mem @ ( c_2Erelation_2Ediamond @ A_27a ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) @ bool ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(tp_c_2Erelation_2Eequivalence,type,
% 5.44/5.67 c_2Erelation_2Eequivalence: del > $i ).
% 5.44/5.67
% 5.44/5.67 thf(mem_c_2Erelation_2Eequivalence,axiom,
% 5.44/5.67 ! [A_27a: del] : ( mem @ ( c_2Erelation_2Eequivalence @ A_27a ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) @ bool ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(tp_c_2Erelation_2Einv,type,
% 5.44/5.67 c_2Erelation_2Einv: del > del > $i ).
% 5.44/5.67
% 5.44/5.67 thf(mem_c_2Erelation_2Einv,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Erelation_2Einv @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) @ ( arr @ A_27b @ ( arr @ A_27a @ bool ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(tp_c_2Erelation_2Einv__image,type,
% 5.44/5.67 c_2Erelation_2Einv__image: del > del > $i ).
% 5.44/5.67
% 5.44/5.67 thf(mem_c_2Erelation_2Einv__image,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Erelation_2Einv__image @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27b @ ( arr @ A_27b @ bool ) ) @ ( arr @ ( arr @ A_27a @ A_27b ) @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(tp_c_2Erelation_2Eirreflexive,type,
% 5.44/5.67 c_2Erelation_2Eirreflexive: del > $i ).
% 5.44/5.67
% 5.44/5.67 thf(mem_c_2Erelation_2Eirreflexive,axiom,
% 5.44/5.67 ! [A_27a: del] : ( mem @ ( c_2Erelation_2Eirreflexive @ A_27a ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) @ bool ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(tp_c_2Erelation_2Enf,type,
% 5.44/5.67 c_2Erelation_2Enf: del > del > $i ).
% 5.44/5.67
% 5.44/5.67 thf(mem_c_2Erelation_2Enf,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Erelation_2Enf @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) @ ( arr @ A_27a @ bool ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(tp_c_2Erelation_2Ercdiamond,type,
% 5.44/5.67 c_2Erelation_2Ercdiamond: del > $i ).
% 5.44/5.67
% 5.44/5.67 thf(mem_c_2Erelation_2Ercdiamond,axiom,
% 5.44/5.67 ! [A_27a: del] : ( mem @ ( c_2Erelation_2Ercdiamond @ A_27a ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) @ bool ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(tp_c_2Erelation_2Ereflexive,type,
% 5.44/5.67 c_2Erelation_2Ereflexive: del > $i ).
% 5.44/5.67
% 5.44/5.67 thf(mem_c_2Erelation_2Ereflexive,axiom,
% 5.44/5.67 ! [A_27a: del] : ( mem @ ( c_2Erelation_2Ereflexive @ A_27a ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) @ bool ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(tp_c_2Erelation_2Esymmetric,type,
% 5.44/5.67 c_2Erelation_2Esymmetric: del > $i ).
% 5.44/5.67
% 5.44/5.67 thf(mem_c_2Erelation_2Esymmetric,axiom,
% 5.44/5.67 ! [A_27a: del] : ( mem @ ( c_2Erelation_2Esymmetric @ A_27a ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) @ bool ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(tp_c_2Erelation_2Ethe__fun,type,
% 5.44/5.67 c_2Erelation_2Ethe__fun: del > del > $i ).
% 5.44/5.67
% 5.44/5.67 thf(mem_c_2Erelation_2Ethe__fun,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Erelation_2Ethe__fun @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) @ ( arr @ ( arr @ ( arr @ A_27a @ A_27b ) @ ( arr @ A_27a @ A_27b ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27b ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(tp_c_2Erelation_2Etotal,type,
% 5.44/5.67 c_2Erelation_2Etotal: del > $i ).
% 5.44/5.67
% 5.44/5.67 thf(mem_c_2Erelation_2Etotal,axiom,
% 5.44/5.67 ! [A_27a: del] : ( mem @ ( c_2Erelation_2Etotal @ A_27a ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) @ bool ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(tp_c_2Erelation_2Etransitive,type,
% 5.44/5.67 c_2Erelation_2Etransitive: del > $i ).
% 5.44/5.67
% 5.44/5.67 thf(mem_c_2Erelation_2Etransitive,axiom,
% 5.44/5.67 ! [A_27a: del] : ( mem @ ( c_2Erelation_2Etransitive @ A_27a ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) @ bool ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(tp_c_2Erelation_2Etrichotomous,type,
% 5.44/5.67 c_2Erelation_2Etrichotomous: del > $i ).
% 5.44/5.67
% 5.44/5.67 thf(mem_c_2Erelation_2Etrichotomous,axiom,
% 5.44/5.67 ! [A_27a: del] : ( mem @ ( c_2Erelation_2Etrichotomous @ A_27a ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) @ bool ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(ax_thm_2Erelation_2Etransitive__def,axiom,
% 5.44/5.67 ! [A_27a: del,V0R: $i] :
% 5.44/5.67 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.67 => ( ( p @ ( ap @ ( c_2Erelation_2Etransitive @ A_27a ) @ V0R ) )
% 5.44/5.67 <=> ! [V1x: $i] :
% 5.44/5.67 ( ( mem @ V1x @ A_27a )
% 5.44/5.67 => ! [V2y: $i] :
% 5.44/5.67 ( ( mem @ V2y @ A_27a )
% 5.44/5.67 => ! [V3z: $i] :
% 5.44/5.67 ( ( mem @ V3z @ A_27a )
% 5.44/5.67 => ( ( ( p @ ( ap @ ( ap @ V0R @ V1x ) @ V2y ) )
% 5.44/5.67 & ( p @ ( ap @ ( ap @ V0R @ V2y ) @ V3z ) ) )
% 5.44/5.67 => ( p @ ( ap @ ( ap @ V0R @ V1x ) @ V3z ) ) ) ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(ax_thm_2Erelation_2Ereflexive__def,axiom,
% 5.44/5.67 ! [A_27a: del,V0R: $i] :
% 5.44/5.67 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.67 => ( ( p @ ( ap @ ( c_2Erelation_2Ereflexive @ A_27a ) @ V0R ) )
% 5.44/5.67 <=> ! [V1x: $i] :
% 5.44/5.67 ( ( mem @ V1x @ A_27a )
% 5.44/5.67 => ( p @ ( ap @ ( ap @ V0R @ V1x ) @ V1x ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(ax_thm_2Erelation_2Eirreflexive__def,axiom,
% 5.44/5.67 ! [A_27a: del,V0R: $i] :
% 5.44/5.67 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.67 => ( ( p @ ( ap @ ( c_2Erelation_2Eirreflexive @ A_27a ) @ V0R ) )
% 5.44/5.67 <=> ! [V1x: $i] :
% 5.44/5.67 ( ( mem @ V1x @ A_27a )
% 5.44/5.67 => ~ ( p @ ( ap @ ( ap @ V0R @ V1x ) @ V1x ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(ax_thm_2Erelation_2Esymmetric__def,axiom,
% 5.44/5.67 ! [A_27a: del,V0R: $i] :
% 5.44/5.67 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.67 => ( ( p @ ( ap @ ( c_2Erelation_2Esymmetric @ A_27a ) @ V0R ) )
% 5.44/5.67 <=> ! [V1x: $i] :
% 5.44/5.67 ( ( mem @ V1x @ A_27a )
% 5.44/5.67 => ! [V2y: $i] :
% 5.44/5.67 ( ( mem @ V2y @ A_27a )
% 5.44/5.67 => ( ( p @ ( ap @ ( ap @ V0R @ V1x ) @ V2y ) )
% 5.44/5.67 <=> ( p @ ( ap @ ( ap @ V0R @ V2y ) @ V1x ) ) ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(ax_thm_2Erelation_2Eantisymmetric__def,axiom,
% 5.44/5.67 ! [A_27a: del,V0R: $i] :
% 5.44/5.67 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.67 => ( ( p @ ( ap @ ( c_2Erelation_2Eantisymmetric @ A_27a ) @ V0R ) )
% 5.44/5.67 <=> ! [V1x: $i] :
% 5.44/5.67 ( ( mem @ V1x @ A_27a )
% 5.44/5.67 => ! [V2y: $i] :
% 5.44/5.67 ( ( mem @ V2y @ A_27a )
% 5.44/5.67 => ( ( ( p @ ( ap @ ( ap @ V0R @ V1x ) @ V2y ) )
% 5.44/5.67 & ( p @ ( ap @ ( ap @ V0R @ V2y ) @ V1x ) ) )
% 5.44/5.67 => ( V1x = V2y ) ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(ax_thm_2Erelation_2Eequivalence__def,axiom,
% 5.44/5.67 ! [A_27a: del,V0R: $i] :
% 5.44/5.67 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.67 => ( ( p @ ( ap @ ( c_2Erelation_2Eequivalence @ A_27a ) @ V0R ) )
% 5.44/5.67 <=> ( ( p @ ( ap @ ( c_2Erelation_2Ereflexive @ A_27a ) @ V0R ) )
% 5.44/5.67 & ( p @ ( ap @ ( c_2Erelation_2Esymmetric @ A_27a ) @ V0R ) )
% 5.44/5.67 & ( p @ ( ap @ ( c_2Erelation_2Etransitive @ A_27a ) @ V0R ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(ax_thm_2Erelation_2Etotal__def,axiom,
% 5.44/5.67 ! [A_27a: del,V0R: $i] :
% 5.44/5.67 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.67 => ( ( p @ ( ap @ ( c_2Erelation_2Etotal @ A_27a ) @ V0R ) )
% 5.44/5.67 <=> ! [V1x: $i] :
% 5.44/5.67 ( ( mem @ V1x @ A_27a )
% 5.44/5.67 => ! [V2y: $i] :
% 5.44/5.67 ( ( mem @ V2y @ A_27a )
% 5.44/5.67 => ( ( p @ ( ap @ ( ap @ V0R @ V1x ) @ V2y ) )
% 5.44/5.67 | ( p @ ( ap @ ( ap @ V0R @ V2y ) @ V1x ) ) ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(ax_thm_2Erelation_2Etrichotomous,axiom,
% 5.44/5.67 ! [A_27a: del,V0R: $i] :
% 5.44/5.67 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.67 => ( ( p @ ( ap @ ( c_2Erelation_2Etrichotomous @ A_27a ) @ V0R ) )
% 5.44/5.67 <=> ! [V1a: $i] :
% 5.44/5.67 ( ( mem @ V1a @ A_27a )
% 5.44/5.67 => ! [V2b: $i] :
% 5.44/5.67 ( ( mem @ V2b @ A_27a )
% 5.44/5.67 => ( ( p @ ( ap @ ( ap @ V0R @ V1a ) @ V2b ) )
% 5.44/5.67 | ( p @ ( ap @ ( ap @ V0R @ V2b ) @ V1a ) )
% 5.44/5.67 | ( V1a = V2b ) ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(ax_thm_2Erelation_2ETC__DEF,axiom,
% 5.44/5.67 ! [A_27a: del,V0R: $i] :
% 5.44/5.67 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.67 => ! [V1a: $i] :
% 5.44/5.67 ( ( mem @ V1a @ A_27a )
% 5.44/5.67 => ! [V2b: $i] :
% 5.44/5.67 ( ( mem @ V2b @ A_27a )
% 5.44/5.67 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ETC @ A_27a ) @ V0R ) @ V1a ) @ V2b ) )
% 5.44/5.67 <=> ! [V3P: $i] :
% 5.44/5.67 ( ( mem @ V3P @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.67 => ( ( ! [V4x: $i] :
% 5.44/5.67 ( ( mem @ V4x @ A_27a )
% 5.44/5.67 => ! [V5y: $i] :
% 5.44/5.67 ( ( mem @ V5y @ A_27a )
% 5.44/5.67 => ( ( p @ ( ap @ ( ap @ V0R @ V4x ) @ V5y ) )
% 5.44/5.67 => ( p @ ( ap @ ( ap @ V3P @ V4x ) @ V5y ) ) ) ) )
% 5.44/5.67 & ! [V6x: $i] :
% 5.44/5.67 ( ( mem @ V6x @ A_27a )
% 5.44/5.67 => ! [V7y: $i] :
% 5.44/5.67 ( ( mem @ V7y @ A_27a )
% 5.44/5.67 => ! [V8z: $i] :
% 5.44/5.67 ( ( mem @ V8z @ A_27a )
% 5.44/5.67 => ( ( ( p @ ( ap @ ( ap @ V3P @ V6x ) @ V7y ) )
% 5.44/5.67 & ( p @ ( ap @ ( ap @ V3P @ V7y ) @ V8z ) ) )
% 5.44/5.67 => ( p @ ( ap @ ( ap @ V3P @ V6x ) @ V8z ) ) ) ) ) ) )
% 5.44/5.67 => ( p @ ( ap @ ( ap @ V3P @ V1a ) @ V2b ) ) ) ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(ax_thm_2Erelation_2ERTC__DEF,axiom,
% 5.44/5.67 ! [A_27a: del,V0R: $i] :
% 5.44/5.67 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.67 => ! [V1a: $i] :
% 5.44/5.67 ( ( mem @ V1a @ A_27a )
% 5.44/5.67 => ! [V2b: $i] :
% 5.44/5.67 ( ( mem @ V2b @ A_27a )
% 5.44/5.67 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ERTC @ A_27a ) @ V0R ) @ V1a ) @ V2b ) )
% 5.44/5.67 <=> ! [V3P: $i] :
% 5.44/5.67 ( ( mem @ V3P @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.67 => ( ( ! [V4x: $i] :
% 5.44/5.67 ( ( mem @ V4x @ A_27a )
% 5.44/5.67 => ( p @ ( ap @ ( ap @ V3P @ V4x ) @ V4x ) ) )
% 5.44/5.67 & ! [V5x: $i] :
% 5.44/5.67 ( ( mem @ V5x @ A_27a )
% 5.44/5.67 => ! [V6y: $i] :
% 5.44/5.67 ( ( mem @ V6y @ A_27a )
% 5.44/5.67 => ! [V7z: $i] :
% 5.44/5.67 ( ( mem @ V7z @ A_27a )
% 5.44/5.67 => ( ( ( p @ ( ap @ ( ap @ V0R @ V5x ) @ V6y ) )
% 5.44/5.67 & ( p @ ( ap @ ( ap @ V3P @ V6y ) @ V7z ) ) )
% 5.44/5.67 => ( p @ ( ap @ ( ap @ V3P @ V5x ) @ V7z ) ) ) ) ) ) )
% 5.44/5.67 => ( p @ ( ap @ ( ap @ V3P @ V1a ) @ V2b ) ) ) ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(ax_thm_2Erelation_2ERC__DEF,axiom,
% 5.44/5.67 ! [A_27a: del,V0R: $i] :
% 5.44/5.67 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.67 => ! [V1x: $i] :
% 5.44/5.67 ( ( mem @ V1x @ A_27a )
% 5.44/5.67 => ! [V2y: $i] :
% 5.44/5.67 ( ( mem @ V2y @ A_27a )
% 5.44/5.67 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ERC @ A_27a ) @ V0R ) @ V1x ) @ V2y ) )
% 5.44/5.67 <=> ( ( V1x = V2y )
% 5.44/5.67 | ( p @ ( ap @ ( ap @ V0R @ V1x ) @ V2y ) ) ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(ax_thm_2Erelation_2ESC__DEF,axiom,
% 5.44/5.67 ! [A_27a: del,V0R: $i] :
% 5.44/5.67 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.67 => ! [V1x: $i] :
% 5.44/5.67 ( ( mem @ V1x @ A_27a )
% 5.44/5.67 => ! [V2y: $i] :
% 5.44/5.67 ( ( mem @ V2y @ A_27a )
% 5.44/5.67 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ESC @ A_27a ) @ V0R ) @ V1x ) @ V2y ) )
% 5.44/5.67 <=> ( ( p @ ( ap @ ( ap @ V0R @ V1x ) @ V2y ) )
% 5.44/5.67 | ( p @ ( ap @ ( ap @ V0R @ V2y ) @ V1x ) ) ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(ax_thm_2Erelation_2EEQC__DEF,axiom,
% 5.44/5.67 ! [A_27a: del,V0R: $i] :
% 5.44/5.67 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.67 => ( ( ap @ ( c_2Erelation_2EEQC @ A_27a ) @ V0R )
% 5.44/5.67 = ( ap @ ( c_2Erelation_2ERC @ A_27a ) @ ( ap @ ( c_2Erelation_2ETC @ A_27a ) @ ( ap @ ( c_2Erelation_2ESC @ A_27a ) @ V0R ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Erelation_2ESC__SYMMETRIC,axiom,
% 5.44/5.67 ! [A_27a: del,V0R: $i] :
% 5.44/5.67 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.67 => ( p @ ( ap @ ( c_2Erelation_2Esymmetric @ A_27a ) @ ( ap @ ( c_2Erelation_2ESC @ A_27a ) @ V0R ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Erelation_2ETC__TRANSITIVE,axiom,
% 5.44/5.67 ! [A_27a: del,V0R: $i] :
% 5.44/5.67 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.67 => ( p @ ( ap @ ( c_2Erelation_2Etransitive @ A_27a ) @ ( ap @ ( c_2Erelation_2ETC @ A_27a ) @ V0R ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Erelation_2ERTC__INDUCT,axiom,
% 5.44/5.67 ! [A_27a: del,V0R: $i] :
% 5.44/5.67 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.67 => ! [V1P: $i] :
% 5.44/5.67 ( ( mem @ V1P @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.67 => ( ( ! [V2x: $i] :
% 5.44/5.67 ( ( mem @ V2x @ A_27a )
% 5.44/5.67 => ( p @ ( ap @ ( ap @ V1P @ V2x ) @ V2x ) ) )
% 5.44/5.67 & ! [V3x: $i] :
% 5.44/5.67 ( ( mem @ V3x @ A_27a )
% 5.44/5.67 => ! [V4y: $i] :
% 5.44/5.67 ( ( mem @ V4y @ A_27a )
% 5.44/5.67 => ! [V5z: $i] :
% 5.44/5.67 ( ( mem @ V5z @ A_27a )
% 5.44/5.67 => ( ( ( p @ ( ap @ ( ap @ V0R @ V3x ) @ V4y ) )
% 5.44/5.67 & ( p @ ( ap @ ( ap @ V1P @ V4y ) @ V5z ) ) )
% 5.44/5.67 => ( p @ ( ap @ ( ap @ V1P @ V3x ) @ V5z ) ) ) ) ) ) )
% 5.44/5.67 => ! [V6x: $i] :
% 5.44/5.67 ( ( mem @ V6x @ A_27a )
% 5.44/5.67 => ! [V7y: $i] :
% 5.44/5.67 ( ( mem @ V7y @ A_27a )
% 5.44/5.67 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ERTC @ A_27a ) @ V0R ) @ V6x ) @ V7y ) )
% 5.44/5.67 => ( p @ ( ap @ ( ap @ V1P @ V6x ) @ V7y ) ) ) ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Erelation_2ETC__RULES,axiom,
% 5.44/5.67 ! [A_27a: del,V0R: $i] :
% 5.44/5.67 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.67 => ( ! [V1x: $i] :
% 5.44/5.67 ( ( mem @ V1x @ A_27a )
% 5.44/5.67 => ! [V2y: $i] :
% 5.44/5.67 ( ( mem @ V2y @ A_27a )
% 5.44/5.67 => ( ( p @ ( ap @ ( ap @ V0R @ V1x ) @ V2y ) )
% 5.44/5.67 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ETC @ A_27a ) @ V0R ) @ V1x ) @ V2y ) ) ) ) )
% 5.44/5.67 & ! [V3x: $i] :
% 5.44/5.67 ( ( mem @ V3x @ A_27a )
% 5.44/5.67 => ! [V4y: $i] :
% 5.44/5.67 ( ( mem @ V4y @ A_27a )
% 5.44/5.67 => ! [V5z: $i] :
% 5.44/5.67 ( ( mem @ V5z @ A_27a )
% 5.44/5.67 => ( ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ETC @ A_27a ) @ V0R ) @ V3x ) @ V4y ) )
% 5.44/5.67 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ETC @ A_27a ) @ V0R ) @ V4y ) @ V5z ) ) )
% 5.44/5.67 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ETC @ A_27a ) @ V0R ) @ V3x ) @ V5z ) ) ) ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Erelation_2ERTC__RULES,axiom,
% 5.44/5.67 ! [A_27a: del,V0R: $i] :
% 5.44/5.67 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.67 => ( ! [V1x: $i] :
% 5.44/5.67 ( ( mem @ V1x @ A_27a )
% 5.44/5.67 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ERTC @ A_27a ) @ V0R ) @ V1x ) @ V1x ) ) )
% 5.44/5.67 & ! [V2x: $i] :
% 5.44/5.67 ( ( mem @ V2x @ A_27a )
% 5.44/5.67 => ! [V3y: $i] :
% 5.44/5.67 ( ( mem @ V3y @ A_27a )
% 5.44/5.67 => ! [V4z: $i] :
% 5.44/5.67 ( ( mem @ V4z @ A_27a )
% 5.44/5.67 => ( ( ( p @ ( ap @ ( ap @ V0R @ V2x ) @ V3y ) )
% 5.44/5.67 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ERTC @ A_27a ) @ V0R ) @ V3y ) @ V4z ) ) )
% 5.44/5.67 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ERTC @ A_27a ) @ V0R ) @ V2x ) @ V4z ) ) ) ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Erelation_2ERTC__REFL,axiom,
% 5.44/5.67 ! [A_27a: del,V0R: $i] :
% 5.44/5.67 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.67 => ! [V1x: $i] :
% 5.44/5.67 ( ( mem @ V1x @ A_27a )
% 5.44/5.67 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ERTC @ A_27a ) @ V0R ) @ V1x ) @ V1x ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Erelation_2ERTC__SINGLE,axiom,
% 5.44/5.67 ! [A_27a: del,V0R: $i] :
% 5.44/5.67 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.67 => ! [V1x: $i] :
% 5.44/5.67 ( ( mem @ V1x @ A_27a )
% 5.44/5.67 => ! [V2y: $i] :
% 5.44/5.67 ( ( mem @ V2y @ A_27a )
% 5.44/5.67 => ( ( p @ ( ap @ ( ap @ V0R @ V1x ) @ V2y ) )
% 5.44/5.67 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ERTC @ A_27a ) @ V0R ) @ V1x ) @ V2y ) ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Erelation_2ERTC__STRONG__INDUCT,axiom,
% 5.44/5.67 ! [A_27a: del,V0R: $i] :
% 5.44/5.67 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.67 => ! [V1P: $i] :
% 5.44/5.67 ( ( mem @ V1P @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.67 => ( ( ! [V2x: $i] :
% 5.44/5.67 ( ( mem @ V2x @ A_27a )
% 5.44/5.67 => ( p @ ( ap @ ( ap @ V1P @ V2x ) @ V2x ) ) )
% 5.44/5.67 & ! [V3x: $i] :
% 5.44/5.67 ( ( mem @ V3x @ A_27a )
% 5.44/5.67 => ! [V4y: $i] :
% 5.44/5.67 ( ( mem @ V4y @ A_27a )
% 5.44/5.67 => ! [V5z: $i] :
% 5.44/5.67 ( ( mem @ V5z @ A_27a )
% 5.44/5.67 => ( ( ( p @ ( ap @ ( ap @ V0R @ V3x ) @ V4y ) )
% 5.44/5.67 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ERTC @ A_27a ) @ V0R ) @ V4y ) @ V5z ) )
% 5.44/5.67 & ( p @ ( ap @ ( ap @ V1P @ V4y ) @ V5z ) ) )
% 5.44/5.67 => ( p @ ( ap @ ( ap @ V1P @ V3x ) @ V5z ) ) ) ) ) ) )
% 5.44/5.67 => ! [V6x: $i] :
% 5.44/5.67 ( ( mem @ V6x @ A_27a )
% 5.44/5.67 => ! [V7y: $i] :
% 5.44/5.67 ( ( mem @ V7y @ A_27a )
% 5.44/5.67 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ERTC @ A_27a ) @ V0R ) @ V6x ) @ V7y ) )
% 5.44/5.67 => ( p @ ( ap @ ( ap @ V1P @ V6x ) @ V7y ) ) ) ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Erelation_2ERTC__RTC,axiom,
% 5.44/5.67 ! [A_27a: del,V0R: $i] :
% 5.44/5.67 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.67 => ! [V1x: $i] :
% 5.44/5.67 ( ( mem @ V1x @ A_27a )
% 5.44/5.67 => ! [V2y: $i] :
% 5.44/5.67 ( ( mem @ V2y @ A_27a )
% 5.44/5.67 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ERTC @ A_27a ) @ V0R ) @ V1x ) @ V2y ) )
% 5.44/5.67 => ! [V3z: $i] :
% 5.44/5.67 ( ( mem @ V3z @ A_27a )
% 5.44/5.67 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ERTC @ A_27a ) @ V0R ) @ V2y ) @ V3z ) )
% 5.44/5.67 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ERTC @ A_27a ) @ V0R ) @ V1x ) @ V3z ) ) ) ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Erelation_2ERTC__TRANSITIVE,axiom,
% 5.44/5.67 ! [A_27a: del,V0R: $i] :
% 5.44/5.67 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.67 => ( p @ ( ap @ ( c_2Erelation_2Etransitive @ A_27a ) @ ( ap @ ( c_2Erelation_2ERTC @ A_27a ) @ V0R ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Erelation_2Etransitive__RTC,axiom,
% 5.44/5.67 ! [A_27a: del,V0R: $i] :
% 5.44/5.67 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.67 => ( p @ ( ap @ ( c_2Erelation_2Etransitive @ A_27a ) @ ( ap @ ( c_2Erelation_2ERTC @ A_27a ) @ V0R ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Erelation_2ERTC__REFLEXIVE,axiom,
% 5.44/5.67 ! [A_27a: del,V0R: $i] :
% 5.44/5.67 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.67 => ( p @ ( ap @ ( c_2Erelation_2Ereflexive @ A_27a ) @ ( ap @ ( c_2Erelation_2ERTC @ A_27a ) @ V0R ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Erelation_2Ereflexive__RTC,axiom,
% 5.44/5.67 ! [A_27a: del,V0R: $i] :
% 5.44/5.67 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.67 => ( p @ ( ap @ ( c_2Erelation_2Ereflexive @ A_27a ) @ ( ap @ ( c_2Erelation_2ERTC @ A_27a ) @ V0R ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Erelation_2ERC__REFLEXIVE,axiom,
% 5.44/5.67 ! [A_27a: del,V0R: $i] :
% 5.44/5.67 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.67 => ( p @ ( ap @ ( c_2Erelation_2Ereflexive @ A_27a ) @ ( ap @ ( c_2Erelation_2ERC @ A_27a ) @ V0R ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Erelation_2Ereflexive__RC,axiom,
% 5.44/5.67 ! [A_27a: del,V0R: $i] :
% 5.44/5.67 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.67 => ( p @ ( ap @ ( c_2Erelation_2Ereflexive @ A_27a ) @ ( ap @ ( c_2Erelation_2ERC @ A_27a ) @ V0R ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Erelation_2ERC__lifts__monotonicities,axiom,
% 5.44/5.67 ! [A_27a: del,V0R: $i] :
% 5.44/5.67 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.67 => ! [V1f: $i] :
% 5.44/5.67 ( ( mem @ V1f @ ( arr @ A_27a @ A_27a ) )
% 5.44/5.67 => ( ! [V2x: $i] :
% 5.44/5.67 ( ( mem @ V2x @ A_27a )
% 5.44/5.67 => ! [V3y: $i] :
% 5.44/5.67 ( ( mem @ V3y @ A_27a )
% 5.44/5.67 => ( ( p @ ( ap @ ( ap @ V0R @ V2x ) @ V3y ) )
% 5.44/5.67 => ( p @ ( ap @ ( ap @ V0R @ ( ap @ V1f @ V2x ) ) @ ( ap @ V1f @ V3y ) ) ) ) ) )
% 5.44/5.67 => ! [V4x: $i] :
% 5.44/5.67 ( ( mem @ V4x @ A_27a )
% 5.44/5.67 => ! [V5y: $i] :
% 5.44/5.67 ( ( mem @ V5y @ A_27a )
% 5.44/5.67 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ERC @ A_27a ) @ V0R ) @ V4x ) @ V5y ) )
% 5.44/5.67 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ERC @ A_27a ) @ V0R ) @ ( ap @ V1f @ V4x ) ) @ ( ap @ V1f @ V5y ) ) ) ) ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Erelation_2ERC__MONOTONE,axiom,
% 5.44/5.67 ! [A_27a: del,V0R: $i] :
% 5.44/5.67 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.67 => ! [V1Q: $i] :
% 5.44/5.67 ( ( mem @ V1Q @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.67 => ! [V2x: $i] :
% 5.44/5.67 ( ( mem @ V2x @ A_27a )
% 5.44/5.67 => ! [V3y: $i] :
% 5.44/5.67 ( ( mem @ V3y @ A_27a )
% 5.44/5.67 => ( ! [V4x: $i] :
% 5.44/5.67 ( ( mem @ V4x @ A_27a )
% 5.44/5.67 => ! [V5y: $i] :
% 5.44/5.67 ( ( mem @ V5y @ A_27a )
% 5.44/5.67 => ( ( p @ ( ap @ ( ap @ V0R @ V4x ) @ V5y ) )
% 5.44/5.67 => ( p @ ( ap @ ( ap @ V1Q @ V4x ) @ V5y ) ) ) ) )
% 5.44/5.67 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ERC @ A_27a ) @ V0R ) @ V2x ) @ V3y ) )
% 5.44/5.67 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ERC @ A_27a ) @ V1Q ) @ V2x ) @ V3y ) ) ) ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Erelation_2ERC__lifts__invariants,axiom,
% 5.44/5.67 ! [A_27a: del,V0P: $i] :
% 5.44/5.67 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.44/5.67 => ! [V1R: $i] :
% 5.44/5.67 ( ( mem @ V1R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.67 => ( ! [V2x: $i] :
% 5.44/5.67 ( ( mem @ V2x @ A_27a )
% 5.44/5.67 => ! [V3y: $i] :
% 5.44/5.67 ( ( mem @ V3y @ A_27a )
% 5.44/5.67 => ( ( ( p @ ( ap @ V0P @ V2x ) )
% 5.44/5.67 & ( p @ ( ap @ ( ap @ V1R @ V2x ) @ V3y ) ) )
% 5.44/5.67 => ( p @ ( ap @ V0P @ V3y ) ) ) ) )
% 5.44/5.67 => ! [V4x: $i] :
% 5.44/5.67 ( ( mem @ V4x @ A_27a )
% 5.44/5.67 => ! [V5y: $i] :
% 5.44/5.67 ( ( mem @ V5y @ A_27a )
% 5.44/5.67 => ( ( ( p @ ( ap @ V0P @ V4x ) )
% 5.44/5.67 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ERC @ A_27a ) @ V1R ) @ V4x ) @ V5y ) ) )
% 5.44/5.67 => ( p @ ( ap @ V0P @ V5y ) ) ) ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Erelation_2ERC__lifts__equalities,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.44/5.67 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.67 => ! [V1f: $i] :
% 5.44/5.67 ( ( mem @ V1f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.67 => ( ! [V2x: $i] :
% 5.44/5.67 ( ( mem @ V2x @ A_27a )
% 5.44/5.67 => ! [V3y: $i] :
% 5.44/5.67 ( ( mem @ V3y @ A_27a )
% 5.44/5.67 => ( ( p @ ( ap @ ( ap @ V0R @ V2x ) @ V3y ) )
% 5.44/5.67 => ( ( ap @ V1f @ V2x )
% 5.44/5.67 = ( ap @ V1f @ V3y ) ) ) ) )
% 5.44/5.67 => ! [V4x: $i] :
% 5.44/5.67 ( ( mem @ V4x @ A_27a )
% 5.44/5.67 => ! [V5y: $i] :
% 5.44/5.67 ( ( mem @ V5y @ A_27a )
% 5.44/5.67 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ERC @ A_27a ) @ V0R ) @ V4x ) @ V5y ) )
% 5.44/5.67 => ( ( ap @ V1f @ V4x )
% 5.44/5.67 = ( ap @ V1f @ V5y ) ) ) ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Erelation_2ESC__lifts__monotonicities,axiom,
% 5.44/5.67 ! [A_27a: del,V0R: $i] :
% 5.44/5.67 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.67 => ! [V1f: $i] :
% 5.44/5.67 ( ( mem @ V1f @ ( arr @ A_27a @ A_27a ) )
% 5.44/5.67 => ( ! [V2x: $i] :
% 5.44/5.67 ( ( mem @ V2x @ A_27a )
% 5.44/5.67 => ! [V3y: $i] :
% 5.44/5.67 ( ( mem @ V3y @ A_27a )
% 5.44/5.67 => ( ( p @ ( ap @ ( ap @ V0R @ V2x ) @ V3y ) )
% 5.44/5.67 => ( p @ ( ap @ ( ap @ V0R @ ( ap @ V1f @ V2x ) ) @ ( ap @ V1f @ V3y ) ) ) ) ) )
% 5.44/5.67 => ! [V4x: $i] :
% 5.44/5.67 ( ( mem @ V4x @ A_27a )
% 5.44/5.67 => ! [V5y: $i] :
% 5.44/5.67 ( ( mem @ V5y @ A_27a )
% 5.44/5.67 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ESC @ A_27a ) @ V0R ) @ V4x ) @ V5y ) )
% 5.44/5.67 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ESC @ A_27a ) @ V0R ) @ ( ap @ V1f @ V4x ) ) @ ( ap @ V1f @ V5y ) ) ) ) ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Erelation_2ESC__lifts__equalities,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.44/5.67 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.67 => ! [V1f: $i] :
% 5.44/5.67 ( ( mem @ V1f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.67 => ( ! [V2x: $i] :
% 5.44/5.67 ( ( mem @ V2x @ A_27a )
% 5.44/5.67 => ! [V3y: $i] :
% 5.44/5.67 ( ( mem @ V3y @ A_27a )
% 5.44/5.67 => ( ( p @ ( ap @ ( ap @ V0R @ V2x ) @ V3y ) )
% 5.44/5.67 => ( ( ap @ V1f @ V2x )
% 5.44/5.67 = ( ap @ V1f @ V3y ) ) ) ) )
% 5.44/5.67 => ! [V4x: $i] :
% 5.44/5.67 ( ( mem @ V4x @ A_27a )
% 5.44/5.67 => ! [V5y: $i] :
% 5.44/5.67 ( ( mem @ V5y @ A_27a )
% 5.44/5.67 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ESC @ A_27a ) @ V0R ) @ V4x ) @ V5y ) )
% 5.44/5.67 => ( ( ap @ V1f @ V4x )
% 5.44/5.67 = ( ap @ V1f @ V5y ) ) ) ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Erelation_2ESC__MONOTONE,axiom,
% 5.44/5.67 ! [A_27a: del,V0R: $i] :
% 5.44/5.67 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.67 => ! [V1Q: $i] :
% 5.44/5.67 ( ( mem @ V1Q @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.67 => ! [V2x: $i] :
% 5.44/5.67 ( ( mem @ V2x @ A_27a )
% 5.44/5.67 => ! [V3y: $i] :
% 5.44/5.67 ( ( mem @ V3y @ A_27a )
% 5.44/5.67 => ( ! [V4x: $i] :
% 5.44/5.67 ( ( mem @ V4x @ A_27a )
% 5.44/5.67 => ! [V5y: $i] :
% 5.44/5.67 ( ( mem @ V5y @ A_27a )
% 5.44/5.67 => ( ( p @ ( ap @ ( ap @ V0R @ V4x ) @ V5y ) )
% 5.44/5.67 => ( p @ ( ap @ ( ap @ V1Q @ V4x ) @ V5y ) ) ) ) )
% 5.44/5.67 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ESC @ A_27a ) @ V0R ) @ V2x ) @ V3y ) )
% 5.44/5.67 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ESC @ A_27a ) @ V1Q ) @ V2x ) @ V3y ) ) ) ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Erelation_2Esymmetric__RC,axiom,
% 5.44/5.67 ! [A_27a: del,V0R: $i] :
% 5.44/5.67 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.67 => ( ( p @ ( ap @ ( c_2Erelation_2Esymmetric @ A_27a ) @ ( ap @ ( c_2Erelation_2ERC @ A_27a ) @ V0R ) ) )
% 5.44/5.67 <=> ( p @ ( ap @ ( c_2Erelation_2Esymmetric @ A_27a ) @ V0R ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Erelation_2Eantisymmetric__RC,axiom,
% 5.44/5.67 ! [A_27a: del,V0R: $i] :
% 5.44/5.67 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.67 => ( ( p @ ( ap @ ( c_2Erelation_2Eantisymmetric @ A_27a ) @ ( ap @ ( c_2Erelation_2ERC @ A_27a ) @ V0R ) ) )
% 5.44/5.67 <=> ( p @ ( ap @ ( c_2Erelation_2Eantisymmetric @ A_27a ) @ V0R ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Erelation_2Etransitive__RC,axiom,
% 5.44/5.67 ! [A_27a: del,V0R: $i] :
% 5.44/5.67 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.67 => ( ( p @ ( ap @ ( c_2Erelation_2Etransitive @ A_27a ) @ V0R ) )
% 5.44/5.67 => ( p @ ( ap @ ( c_2Erelation_2Etransitive @ A_27a ) @ ( ap @ ( c_2Erelation_2ERC @ A_27a ) @ V0R ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Erelation_2ETC__SUBSET,axiom,
% 5.44/5.67 ! [A_27a: del,V0R: $i] :
% 5.44/5.67 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.67 => ! [V1x: $i] :
% 5.44/5.67 ( ( mem @ V1x @ A_27a )
% 5.44/5.67 => ! [V2y: $i] :
% 5.44/5.67 ( ( mem @ V2y @ A_27a )
% 5.44/5.67 => ( ( p @ ( ap @ ( ap @ V0R @ V1x ) @ V2y ) )
% 5.44/5.67 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ETC @ A_27a ) @ V0R ) @ V1x ) @ V2y ) ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Erelation_2ERTC__SUBSET,axiom,
% 5.44/5.67 ! [A_27a: del,V0R: $i] :
% 5.44/5.67 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.67 => ! [V1x: $i] :
% 5.44/5.67 ( ( mem @ V1x @ A_27a )
% 5.44/5.67 => ! [V2y: $i] :
% 5.44/5.67 ( ( mem @ V2y @ A_27a )
% 5.44/5.67 => ( ( p @ ( ap @ ( ap @ V0R @ V1x ) @ V2y ) )
% 5.44/5.67 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ERTC @ A_27a ) @ V0R ) @ V1x ) @ V2y ) ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Erelation_2ERC__SUBSET,axiom,
% 5.44/5.67 ! [A_27a: del,V0R: $i] :
% 5.44/5.67 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.67 => ! [V1x: $i] :
% 5.44/5.67 ( ( mem @ V1x @ A_27a )
% 5.44/5.67 => ! [V2y: $i] :
% 5.44/5.67 ( ( mem @ V2y @ A_27a )
% 5.44/5.67 => ( ( p @ ( ap @ ( ap @ V0R @ V1x ) @ V2y ) )
% 5.44/5.67 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ERC @ A_27a ) @ V0R ) @ V1x ) @ V2y ) ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Erelation_2ERC__RTC,axiom,
% 5.44/5.67 ! [A_27a: del,V0R: $i] :
% 5.44/5.67 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.67 => ! [V1x: $i] :
% 5.44/5.67 ( ( mem @ V1x @ A_27a )
% 5.44/5.67 => ! [V2y: $i] :
% 5.44/5.67 ( ( mem @ V2y @ A_27a )
% 5.44/5.67 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ERC @ A_27a ) @ V0R ) @ V1x ) @ V2y ) )
% 5.44/5.67 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ERTC @ A_27a ) @ V0R ) @ V1x ) @ V2y ) ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Erelation_2ETC__INDUCT,axiom,
% 5.44/5.67 ! [A_27a: del,V0R: $i] :
% 5.44/5.67 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.67 => ! [V1P: $i] :
% 5.44/5.67 ( ( mem @ V1P @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.67 => ( ( ! [V2x: $i] :
% 5.44/5.67 ( ( mem @ V2x @ A_27a )
% 5.44/5.67 => ! [V3y: $i] :
% 5.44/5.67 ( ( mem @ V3y @ A_27a )
% 5.44/5.67 => ( ( p @ ( ap @ ( ap @ V0R @ V2x ) @ V3y ) )
% 5.44/5.67 => ( p @ ( ap @ ( ap @ V1P @ V2x ) @ V3y ) ) ) ) )
% 5.44/5.67 & ! [V4x: $i] :
% 5.44/5.67 ( ( mem @ V4x @ A_27a )
% 5.44/5.67 => ! [V5y: $i] :
% 5.44/5.67 ( ( mem @ V5y @ A_27a )
% 5.44/5.67 => ! [V6z: $i] :
% 5.44/5.67 ( ( mem @ V6z @ A_27a )
% 5.44/5.67 => ( ( ( p @ ( ap @ ( ap @ V1P @ V4x ) @ V5y ) )
% 5.44/5.67 & ( p @ ( ap @ ( ap @ V1P @ V5y ) @ V6z ) ) )
% 5.44/5.67 => ( p @ ( ap @ ( ap @ V1P @ V4x ) @ V6z ) ) ) ) ) ) )
% 5.44/5.67 => ! [V7u: $i] :
% 5.44/5.67 ( ( mem @ V7u @ A_27a )
% 5.44/5.67 => ! [V8v: $i] :
% 5.44/5.67 ( ( mem @ V8v @ A_27a )
% 5.44/5.67 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ETC @ A_27a ) @ V0R ) @ V7u ) @ V8v ) )
% 5.44/5.67 => ( p @ ( ap @ ( ap @ V1P @ V7u ) @ V8v ) ) ) ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Erelation_2ETC__INDUCT__LEFT1,axiom,
% 5.44/5.67 ! [A_27a: del,V0R: $i] :
% 5.44/5.67 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.67 => ! [V1P: $i] :
% 5.44/5.67 ( ( mem @ V1P @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.67 => ( ( ! [V2x: $i] :
% 5.44/5.67 ( ( mem @ V2x @ A_27a )
% 5.44/5.67 => ! [V3y: $i] :
% 5.44/5.67 ( ( mem @ V3y @ A_27a )
% 5.44/5.67 => ( ( p @ ( ap @ ( ap @ V0R @ V2x ) @ V3y ) )
% 5.44/5.67 => ( p @ ( ap @ ( ap @ V1P @ V2x ) @ V3y ) ) ) ) )
% 5.44/5.67 & ! [V4x: $i] :
% 5.44/5.67 ( ( mem @ V4x @ A_27a )
% 5.44/5.67 => ! [V5y: $i] :
% 5.44/5.67 ( ( mem @ V5y @ A_27a )
% 5.44/5.67 => ! [V6z: $i] :
% 5.44/5.67 ( ( mem @ V6z @ A_27a )
% 5.44/5.67 => ( ( ( p @ ( ap @ ( ap @ V0R @ V4x ) @ V5y ) )
% 5.44/5.67 & ( p @ ( ap @ ( ap @ V1P @ V5y ) @ V6z ) ) )
% 5.44/5.67 => ( p @ ( ap @ ( ap @ V1P @ V4x ) @ V6z ) ) ) ) ) ) )
% 5.44/5.67 => ! [V7x: $i] :
% 5.44/5.67 ( ( mem @ V7x @ A_27a )
% 5.44/5.67 => ! [V8y: $i] :
% 5.44/5.67 ( ( mem @ V8y @ A_27a )
% 5.44/5.67 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ETC @ A_27a ) @ V0R ) @ V7x ) @ V8y ) )
% 5.44/5.67 => ( p @ ( ap @ ( ap @ V1P @ V7x ) @ V8y ) ) ) ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Erelation_2ETC__INDUCT__RIGHT1,axiom,
% 5.44/5.67 ! [A_27a: del,V0R: $i] :
% 5.44/5.67 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.67 => ! [V1P: $i] :
% 5.44/5.67 ( ( mem @ V1P @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.67 => ( ( ! [V2x: $i] :
% 5.44/5.67 ( ( mem @ V2x @ A_27a )
% 5.44/5.67 => ! [V3y: $i] :
% 5.44/5.67 ( ( mem @ V3y @ A_27a )
% 5.44/5.67 => ( ( p @ ( ap @ ( ap @ V0R @ V2x ) @ V3y ) )
% 5.44/5.67 => ( p @ ( ap @ ( ap @ V1P @ V2x ) @ V3y ) ) ) ) )
% 5.44/5.67 & ! [V4x: $i] :
% 5.44/5.67 ( ( mem @ V4x @ A_27a )
% 5.44/5.67 => ! [V5y: $i] :
% 5.44/5.67 ( ( mem @ V5y @ A_27a )
% 5.44/5.67 => ! [V6z: $i] :
% 5.44/5.67 ( ( mem @ V6z @ A_27a )
% 5.44/5.67 => ( ( ( p @ ( ap @ ( ap @ V1P @ V4x ) @ V5y ) )
% 5.44/5.67 & ( p @ ( ap @ ( ap @ V0R @ V5y ) @ V6z ) ) )
% 5.44/5.67 => ( p @ ( ap @ ( ap @ V1P @ V4x ) @ V6z ) ) ) ) ) ) )
% 5.44/5.67 => ! [V7x: $i] :
% 5.44/5.67 ( ( mem @ V7x @ A_27a )
% 5.44/5.67 => ! [V8y: $i] :
% 5.44/5.67 ( ( mem @ V8y @ A_27a )
% 5.44/5.67 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ETC @ A_27a ) @ V0R ) @ V7x ) @ V8y ) )
% 5.44/5.67 => ( p @ ( ap @ ( ap @ V1P @ V7x ) @ V8y ) ) ) ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Erelation_2ETC__STRONG__INDUCT,axiom,
% 5.44/5.67 ! [A_27a: del,V0R: $i] :
% 5.44/5.67 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.67 => ! [V1P: $i] :
% 5.44/5.67 ( ( mem @ V1P @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.67 => ( ( ! [V2x: $i] :
% 5.44/5.67 ( ( mem @ V2x @ A_27a )
% 5.44/5.67 => ! [V3y: $i] :
% 5.44/5.67 ( ( mem @ V3y @ A_27a )
% 5.44/5.67 => ( ( p @ ( ap @ ( ap @ V0R @ V2x ) @ V3y ) )
% 5.44/5.67 => ( p @ ( ap @ ( ap @ V1P @ V2x ) @ V3y ) ) ) ) )
% 5.44/5.67 & ! [V4x: $i] :
% 5.44/5.67 ( ( mem @ V4x @ A_27a )
% 5.44/5.67 => ! [V5y: $i] :
% 5.44/5.67 ( ( mem @ V5y @ A_27a )
% 5.44/5.67 => ! [V6z: $i] :
% 5.44/5.67 ( ( mem @ V6z @ A_27a )
% 5.44/5.67 => ( ( ( p @ ( ap @ ( ap @ V1P @ V4x ) @ V5y ) )
% 5.44/5.67 & ( p @ ( ap @ ( ap @ V1P @ V5y ) @ V6z ) )
% 5.44/5.67 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ETC @ A_27a ) @ V0R ) @ V4x ) @ V5y ) )
% 5.44/5.67 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ETC @ A_27a ) @ V0R ) @ V5y ) @ V6z ) ) )
% 5.44/5.67 => ( p @ ( ap @ ( ap @ V1P @ V4x ) @ V6z ) ) ) ) ) ) )
% 5.44/5.67 => ! [V7u: $i] :
% 5.44/5.67 ( ( mem @ V7u @ A_27a )
% 5.44/5.67 => ! [V8v: $i] :
% 5.44/5.67 ( ( mem @ V8v @ A_27a )
% 5.44/5.67 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ETC @ A_27a ) @ V0R ) @ V7u ) @ V8v ) )
% 5.44/5.67 => ( p @ ( ap @ ( ap @ V1P @ V7u ) @ V8v ) ) ) ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Erelation_2ETC__STRONG__INDUCT__LEFT1,axiom,
% 5.44/5.67 ! [A_27a: del,V0R: $i] :
% 5.44/5.67 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.67 => ! [V1P: $i] :
% 5.44/5.67 ( ( mem @ V1P @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.67 => ( ( ! [V2x: $i] :
% 5.44/5.67 ( ( mem @ V2x @ A_27a )
% 5.44/5.67 => ! [V3y: $i] :
% 5.44/5.67 ( ( mem @ V3y @ A_27a )
% 5.44/5.67 => ( ( p @ ( ap @ ( ap @ V0R @ V2x ) @ V3y ) )
% 5.44/5.67 => ( p @ ( ap @ ( ap @ V1P @ V2x ) @ V3y ) ) ) ) )
% 5.44/5.67 & ! [V4x: $i] :
% 5.44/5.67 ( ( mem @ V4x @ A_27a )
% 5.44/5.67 => ! [V5y: $i] :
% 5.44/5.67 ( ( mem @ V5y @ A_27a )
% 5.44/5.67 => ! [V6z: $i] :
% 5.44/5.67 ( ( mem @ V6z @ A_27a )
% 5.44/5.67 => ( ( ( p @ ( ap @ ( ap @ V0R @ V4x ) @ V5y ) )
% 5.44/5.67 & ( p @ ( ap @ ( ap @ V1P @ V5y ) @ V6z ) )
% 5.44/5.67 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ETC @ A_27a ) @ V0R ) @ V5y ) @ V6z ) ) )
% 5.44/5.67 => ( p @ ( ap @ ( ap @ V1P @ V4x ) @ V6z ) ) ) ) ) ) )
% 5.44/5.67 => ! [V7u: $i] :
% 5.44/5.67 ( ( mem @ V7u @ A_27a )
% 5.44/5.67 => ! [V8v: $i] :
% 5.44/5.67 ( ( mem @ V8v @ A_27a )
% 5.44/5.67 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ETC @ A_27a ) @ V0R ) @ V7u ) @ V8v ) )
% 5.44/5.67 => ( p @ ( ap @ ( ap @ V1P @ V7u ) @ V8v ) ) ) ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Erelation_2ETC__STRONG__INDUCT__RIGHT1,axiom,
% 5.44/5.67 ! [A_27a: del,V0R: $i] :
% 5.44/5.67 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.67 => ! [V1P: $i] :
% 5.44/5.67 ( ( mem @ V1P @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.67 => ( ( ! [V2x: $i] :
% 5.44/5.67 ( ( mem @ V2x @ A_27a )
% 5.44/5.67 => ! [V3y: $i] :
% 5.44/5.67 ( ( mem @ V3y @ A_27a )
% 5.44/5.67 => ( ( p @ ( ap @ ( ap @ V0R @ V2x ) @ V3y ) )
% 5.44/5.67 => ( p @ ( ap @ ( ap @ V1P @ V2x ) @ V3y ) ) ) ) )
% 5.44/5.67 & ! [V4x: $i] :
% 5.44/5.67 ( ( mem @ V4x @ A_27a )
% 5.44/5.67 => ! [V5y: $i] :
% 5.44/5.67 ( ( mem @ V5y @ A_27a )
% 5.44/5.67 => ! [V6z: $i] :
% 5.44/5.67 ( ( mem @ V6z @ A_27a )
% 5.44/5.67 => ( ( ( p @ ( ap @ ( ap @ V1P @ V4x ) @ V5y ) )
% 5.44/5.67 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ETC @ A_27a ) @ V0R ) @ V4x ) @ V5y ) )
% 5.44/5.67 & ( p @ ( ap @ ( ap @ V0R @ V5y ) @ V6z ) ) )
% 5.44/5.67 => ( p @ ( ap @ ( ap @ V1P @ V4x ) @ V6z ) ) ) ) ) ) )
% 5.44/5.67 => ! [V7u: $i] :
% 5.44/5.67 ( ( mem @ V7u @ A_27a )
% 5.44/5.67 => ! [V8v: $i] :
% 5.44/5.67 ( ( mem @ V8v @ A_27a )
% 5.44/5.67 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ETC @ A_27a ) @ V0R ) @ V7u ) @ V8v ) )
% 5.44/5.67 => ( p @ ( ap @ ( ap @ V1P @ V7u ) @ V8v ) ) ) ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Erelation_2ETC__INDUCT__ALT__LEFT,axiom,
% 5.44/5.67 ! [A_27a: del,V0b: $i] :
% 5.44/5.67 ( ( mem @ V0b @ A_27a )
% 5.44/5.67 => ! [V1R: $i] :
% 5.44/5.67 ( ( mem @ V1R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.67 => ! [V2Q: $i] :
% 5.44/5.67 ( ( mem @ V2Q @ ( arr @ A_27a @ bool ) )
% 5.44/5.67 => ( ( ! [V3x: $i] :
% 5.44/5.67 ( ( mem @ V3x @ A_27a )
% 5.44/5.67 => ( ( p @ ( ap @ ( ap @ V1R @ V3x ) @ V0b ) )
% 5.44/5.67 => ( p @ ( ap @ V2Q @ V3x ) ) ) )
% 5.44/5.67 & ! [V4x: $i] :
% 5.44/5.67 ( ( mem @ V4x @ A_27a )
% 5.44/5.67 => ! [V5y: $i] :
% 5.44/5.67 ( ( mem @ V5y @ A_27a )
% 5.44/5.67 => ( ( ( p @ ( ap @ ( ap @ V1R @ V4x ) @ V5y ) )
% 5.44/5.67 & ( p @ ( ap @ V2Q @ V5y ) ) )
% 5.44/5.67 => ( p @ ( ap @ V2Q @ V4x ) ) ) ) ) )
% 5.44/5.67 => ! [V6a: $i] :
% 5.44/5.67 ( ( mem @ V6a @ A_27a )
% 5.44/5.67 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ETC @ A_27a ) @ V1R ) @ V6a ) @ V0b ) )
% 5.44/5.67 => ( p @ ( ap @ V2Q @ V6a ) ) ) ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Erelation_2ETC__INDUCT__ALT__RIGHT,axiom,
% 5.44/5.67 ! [A_27a: del,V0a: $i] :
% 5.44/5.67 ( ( mem @ V0a @ A_27a )
% 5.44/5.67 => ! [V1R: $i] :
% 5.44/5.67 ( ( mem @ V1R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.67 => ! [V2Q: $i] :
% 5.44/5.67 ( ( mem @ V2Q @ ( arr @ A_27a @ bool ) )
% 5.44/5.67 => ( ( ! [V3y: $i] :
% 5.44/5.67 ( ( mem @ V3y @ A_27a )
% 5.44/5.67 => ( ( p @ ( ap @ ( ap @ V1R @ V0a ) @ V3y ) )
% 5.44/5.67 => ( p @ ( ap @ V2Q @ V3y ) ) ) )
% 5.44/5.67 & ! [V4x: $i] :
% 5.44/5.67 ( ( mem @ V4x @ A_27a )
% 5.44/5.67 => ! [V5y: $i] :
% 5.44/5.67 ( ( mem @ V5y @ A_27a )
% 5.44/5.67 => ( ( ( p @ ( ap @ V2Q @ V4x ) )
% 5.44/5.67 & ( p @ ( ap @ ( ap @ V1R @ V4x ) @ V5y ) ) )
% 5.44/5.67 => ( p @ ( ap @ V2Q @ V5y ) ) ) ) ) )
% 5.44/5.67 => ! [V6b: $i] :
% 5.44/5.67 ( ( mem @ V6b @ A_27a )
% 5.44/5.67 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ETC @ A_27a ) @ V1R ) @ V0a ) @ V6b ) )
% 5.44/5.67 => ( p @ ( ap @ V2Q @ V6b ) ) ) ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Erelation_2ETC__lifts__monotonicities,axiom,
% 5.44/5.67 ! [A_27a: del,V0R: $i] :
% 5.44/5.67 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.67 => ! [V1f: $i] :
% 5.44/5.67 ( ( mem @ V1f @ ( arr @ A_27a @ A_27a ) )
% 5.44/5.67 => ( ! [V2x: $i] :
% 5.44/5.67 ( ( mem @ V2x @ A_27a )
% 5.44/5.67 => ! [V3y: $i] :
% 5.44/5.67 ( ( mem @ V3y @ A_27a )
% 5.44/5.67 => ( ( p @ ( ap @ ( ap @ V0R @ V2x ) @ V3y ) )
% 5.44/5.67 => ( p @ ( ap @ ( ap @ V0R @ ( ap @ V1f @ V2x ) ) @ ( ap @ V1f @ V3y ) ) ) ) ) )
% 5.44/5.67 => ! [V4x: $i] :
% 5.44/5.67 ( ( mem @ V4x @ A_27a )
% 5.44/5.67 => ! [V5y: $i] :
% 5.44/5.67 ( ( mem @ V5y @ A_27a )
% 5.44/5.67 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ETC @ A_27a ) @ V0R ) @ V4x ) @ V5y ) )
% 5.44/5.67 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ETC @ A_27a ) @ V0R ) @ ( ap @ V1f @ V4x ) ) @ ( ap @ V1f @ V5y ) ) ) ) ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Erelation_2ETC__lifts__invariants,axiom,
% 5.44/5.67 ! [A_27a: del,V0P: $i] :
% 5.44/5.67 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.44/5.67 => ! [V1R: $i] :
% 5.44/5.67 ( ( mem @ V1R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.67 => ( ! [V2x: $i] :
% 5.44/5.67 ( ( mem @ V2x @ A_27a )
% 5.44/5.67 => ! [V3y: $i] :
% 5.44/5.67 ( ( mem @ V3y @ A_27a )
% 5.44/5.67 => ( ( ( p @ ( ap @ V0P @ V2x ) )
% 5.44/5.67 & ( p @ ( ap @ ( ap @ V1R @ V2x ) @ V3y ) ) )
% 5.44/5.67 => ( p @ ( ap @ V0P @ V3y ) ) ) ) )
% 5.44/5.67 => ! [V4x: $i] :
% 5.44/5.67 ( ( mem @ V4x @ A_27a )
% 5.44/5.67 => ! [V5y: $i] :
% 5.44/5.67 ( ( mem @ V5y @ A_27a )
% 5.44/5.67 => ( ( ( p @ ( ap @ V0P @ V4x ) )
% 5.44/5.67 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ETC @ A_27a ) @ V1R ) @ V4x ) @ V5y ) ) )
% 5.44/5.67 => ( p @ ( ap @ V0P @ V5y ) ) ) ) ) ) ) ) ).
% 5.44/5.67
% 5.44/5.67 thf(conj_thm_2Erelation_2ETC__lifts__equalities,axiom,
% 5.44/5.67 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.44/5.67 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.67 => ! [V1f: $i] :
% 5.44/5.67 ( ( mem @ V1f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.67 => ( ! [V2x: $i] :
% 5.44/5.67 ( ( mem @ V2x @ A_27a )
% 5.44/5.67 => ! [V3y: $i] :
% 5.44/5.67 ( ( mem @ V3y @ A_27a )
% 5.44/5.67 => ( ( p @ ( ap @ ( ap @ V0R @ V2x ) @ V3y ) )
% 5.44/5.67 => ( ( ap @ V1f @ V2x )
% 5.44/5.67 = ( ap @ V1f @ V3y ) ) ) ) )
% 5.44/5.67 => ! [V4x: $i] :
% 5.44/5.67 ( ( mem @ V4x @ A_27a )
% 5.44/5.68 => ! [V5y: $i] :
% 5.44/5.68 ( ( mem @ V5y @ A_27a )
% 5.44/5.68 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ETC @ A_27a ) @ V0R ) @ V4x ) @ V5y ) )
% 5.44/5.68 => ( ( ap @ V1f @ V4x )
% 5.44/5.68 = ( ap @ V1f @ V5y ) ) ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2ETC__lifts__transitive__relations,axiom,
% 5.44/5.68 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ! [V1Q: $i] :
% 5.44/5.68 ( ( mem @ V1Q @ ( arr @ A_27b @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.68 => ! [V2f: $i] :
% 5.44/5.68 ( ( mem @ V2f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.68 => ( ( ! [V3x: $i] :
% 5.44/5.68 ( ( mem @ V3x @ A_27a )
% 5.44/5.68 => ! [V4y: $i] :
% 5.44/5.68 ( ( mem @ V4y @ A_27a )
% 5.44/5.68 => ( ( p @ ( ap @ ( ap @ V0R @ V3x ) @ V4y ) )
% 5.44/5.68 => ( p @ ( ap @ ( ap @ V1Q @ ( ap @ V2f @ V3x ) ) @ ( ap @ V2f @ V4y ) ) ) ) ) )
% 5.44/5.68 & ( p @ ( ap @ ( c_2Erelation_2Etransitive @ A_27b ) @ V1Q ) ) )
% 5.44/5.68 => ! [V5x: $i] :
% 5.44/5.68 ( ( mem @ V5x @ A_27a )
% 5.44/5.68 => ! [V6y: $i] :
% 5.44/5.68 ( ( mem @ V6y @ A_27a )
% 5.44/5.68 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ETC @ A_27a ) @ V0R ) @ V5x ) @ V6y ) )
% 5.44/5.68 => ( p @ ( ap @ ( ap @ V1Q @ ( ap @ V2f @ V5x ) ) @ ( ap @ V2f @ V6y ) ) ) ) ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2ETC__implies__one__step,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ! [V1x: $i] :
% 5.44/5.68 ( ( mem @ V1x @ A_27a )
% 5.44/5.68 => ! [V2y: $i] :
% 5.44/5.68 ( ( mem @ V2y @ A_27a )
% 5.44/5.68 => ( ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ETC @ A_27a ) @ V0R ) @ V1x ) @ V2y ) )
% 5.44/5.68 & ( V1x != V2y ) )
% 5.44/5.68 => ? [V3z: $i] :
% 5.44/5.68 ( ( mem @ V3z @ A_27a )
% 5.44/5.68 & ( p @ ( ap @ ( ap @ V0R @ V1x ) @ V3z ) )
% 5.44/5.68 & ( V1x != V3z ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2ETC__RTC,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ! [V1x: $i] :
% 5.44/5.68 ( ( mem @ V1x @ A_27a )
% 5.44/5.68 => ! [V2y: $i] :
% 5.44/5.68 ( ( mem @ V2y @ A_27a )
% 5.44/5.68 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ETC @ A_27a ) @ V0R ) @ V1x ) @ V2y ) )
% 5.44/5.68 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ERTC @ A_27a ) @ V0R ) @ V1x ) @ V2y ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2ERTC__TC__RC,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ! [V1x: $i] :
% 5.44/5.68 ( ( mem @ V1x @ A_27a )
% 5.44/5.68 => ! [V2y: $i] :
% 5.44/5.68 ( ( mem @ V2y @ A_27a )
% 5.44/5.68 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ERTC @ A_27a ) @ V0R ) @ V1x ) @ V2y ) )
% 5.44/5.68 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ERC @ A_27a ) @ V0R ) @ V1x ) @ V2y ) )
% 5.44/5.68 | ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ETC @ A_27a ) @ V0R ) @ V1x ) @ V2y ) ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2ETC__RC__EQNS,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ( ( ( ap @ ( c_2Erelation_2ERC @ A_27a ) @ ( ap @ ( c_2Erelation_2ETC @ A_27a ) @ V0R ) )
% 5.44/5.68 = ( ap @ ( c_2Erelation_2ERTC @ A_27a ) @ V0R ) )
% 5.44/5.68 & ( ( ap @ ( c_2Erelation_2ETC @ A_27a ) @ ( ap @ ( c_2Erelation_2ERC @ A_27a ) @ V0R ) )
% 5.44/5.68 = ( ap @ ( c_2Erelation_2ERTC @ A_27a ) @ V0R ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2ERTC__ALT__DEF,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ! [V1a: $i] :
% 5.44/5.68 ( ( mem @ V1a @ A_27a )
% 5.44/5.68 => ! [V2b: $i] :
% 5.44/5.68 ( ( mem @ V2b @ A_27a )
% 5.44/5.68 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ERTC @ A_27a ) @ V0R ) @ V1a ) @ V2b ) )
% 5.44/5.68 <=> ! [V3Q: $i] :
% 5.44/5.68 ( ( mem @ V3Q @ ( arr @ A_27a @ bool ) )
% 5.44/5.68 => ( ( ( p @ ( ap @ V3Q @ V2b ) )
% 5.44/5.68 & ! [V4x: $i] :
% 5.44/5.68 ( ( mem @ V4x @ A_27a )
% 5.44/5.68 => ! [V5y: $i] :
% 5.44/5.68 ( ( mem @ V5y @ A_27a )
% 5.44/5.68 => ( ( ( p @ ( ap @ ( ap @ V0R @ V4x ) @ V5y ) )
% 5.44/5.68 & ( p @ ( ap @ V3Q @ V5y ) ) )
% 5.44/5.68 => ( p @ ( ap @ V3Q @ V4x ) ) ) ) ) )
% 5.44/5.68 => ( p @ ( ap @ V3Q @ V1a ) ) ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2ERTC__ALT__INDUCT,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ! [V1Q: $i] :
% 5.44/5.68 ( ( mem @ V1Q @ ( arr @ A_27a @ bool ) )
% 5.44/5.68 => ! [V2b: $i] :
% 5.44/5.68 ( ( mem @ V2b @ A_27a )
% 5.44/5.68 => ( ( ( p @ ( ap @ V1Q @ V2b ) )
% 5.44/5.68 & ! [V3x: $i] :
% 5.44/5.68 ( ( mem @ V3x @ A_27a )
% 5.44/5.68 => ! [V4y: $i] :
% 5.44/5.68 ( ( mem @ V4y @ A_27a )
% 5.44/5.68 => ( ( ( p @ ( ap @ ( ap @ V0R @ V3x ) @ V4y ) )
% 5.44/5.68 & ( p @ ( ap @ V1Q @ V4y ) ) )
% 5.44/5.68 => ( p @ ( ap @ V1Q @ V3x ) ) ) ) ) )
% 5.44/5.68 => ! [V5x: $i] :
% 5.44/5.68 ( ( mem @ V5x @ A_27a )
% 5.44/5.68 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ERTC @ A_27a ) @ V0R ) @ V5x ) @ V2b ) )
% 5.44/5.68 => ( p @ ( ap @ V1Q @ V5x ) ) ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2ERTC__ALT__RIGHT__DEF,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ! [V1a: $i] :
% 5.44/5.68 ( ( mem @ V1a @ A_27a )
% 5.44/5.68 => ! [V2b: $i] :
% 5.44/5.68 ( ( mem @ V2b @ A_27a )
% 5.44/5.68 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ERTC @ A_27a ) @ V0R ) @ V1a ) @ V2b ) )
% 5.44/5.68 <=> ! [V3Q: $i] :
% 5.44/5.68 ( ( mem @ V3Q @ ( arr @ A_27a @ bool ) )
% 5.44/5.68 => ( ( ( p @ ( ap @ V3Q @ V1a ) )
% 5.44/5.68 & ! [V4y: $i] :
% 5.44/5.68 ( ( mem @ V4y @ A_27a )
% 5.44/5.68 => ! [V5z: $i] :
% 5.44/5.68 ( ( mem @ V5z @ A_27a )
% 5.44/5.68 => ( ( ( p @ ( ap @ V3Q @ V4y ) )
% 5.44/5.68 & ( p @ ( ap @ ( ap @ V0R @ V4y ) @ V5z ) ) )
% 5.44/5.68 => ( p @ ( ap @ V3Q @ V5z ) ) ) ) ) )
% 5.44/5.68 => ( p @ ( ap @ V3Q @ V2b ) ) ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2ERTC__ALT__RIGHT__INDUCT,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ! [V1Q: $i] :
% 5.44/5.68 ( ( mem @ V1Q @ ( arr @ A_27a @ bool ) )
% 5.44/5.68 => ! [V2a: $i] :
% 5.44/5.68 ( ( mem @ V2a @ A_27a )
% 5.44/5.68 => ( ( ( p @ ( ap @ V1Q @ V2a ) )
% 5.44/5.68 & ! [V3y: $i] :
% 5.44/5.68 ( ( mem @ V3y @ A_27a )
% 5.44/5.68 => ! [V4z: $i] :
% 5.44/5.68 ( ( mem @ V4z @ A_27a )
% 5.44/5.68 => ( ( ( p @ ( ap @ V1Q @ V3y ) )
% 5.44/5.68 & ( p @ ( ap @ ( ap @ V0R @ V3y ) @ V4z ) ) )
% 5.44/5.68 => ( p @ ( ap @ V1Q @ V4z ) ) ) ) ) )
% 5.44/5.68 => ! [V5z: $i] :
% 5.44/5.68 ( ( mem @ V5z @ A_27a )
% 5.44/5.68 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ERTC @ A_27a ) @ V0R ) @ V2a ) @ V5z ) )
% 5.44/5.68 => ( p @ ( ap @ V1Q @ V5z ) ) ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2ERTC__INDUCT__RIGHT1,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ! [V1P: $i] :
% 5.44/5.68 ( ( mem @ V1P @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ( ( ! [V2x: $i] :
% 5.44/5.68 ( ( mem @ V2x @ A_27a )
% 5.44/5.68 => ( p @ ( ap @ ( ap @ V1P @ V2x ) @ V2x ) ) )
% 5.44/5.68 & ! [V3x: $i] :
% 5.44/5.68 ( ( mem @ V3x @ A_27a )
% 5.44/5.68 => ! [V4y: $i] :
% 5.44/5.68 ( ( mem @ V4y @ A_27a )
% 5.44/5.68 => ! [V5z: $i] :
% 5.44/5.68 ( ( mem @ V5z @ A_27a )
% 5.44/5.68 => ( ( ( p @ ( ap @ ( ap @ V1P @ V3x ) @ V4y ) )
% 5.44/5.68 & ( p @ ( ap @ ( ap @ V0R @ V4y ) @ V5z ) ) )
% 5.44/5.68 => ( p @ ( ap @ ( ap @ V1P @ V3x ) @ V5z ) ) ) ) ) ) )
% 5.44/5.68 => ! [V6x: $i] :
% 5.44/5.68 ( ( mem @ V6x @ A_27a )
% 5.44/5.68 => ! [V7y: $i] :
% 5.44/5.68 ( ( mem @ V7y @ A_27a )
% 5.44/5.68 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ERTC @ A_27a ) @ V0R ) @ V6x ) @ V7y ) )
% 5.44/5.68 => ( p @ ( ap @ ( ap @ V1P @ V6x ) @ V7y ) ) ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2ERTC__RULES__RIGHT1,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ( ! [V1x: $i] :
% 5.44/5.68 ( ( mem @ V1x @ A_27a )
% 5.44/5.68 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ERTC @ A_27a ) @ V0R ) @ V1x ) @ V1x ) ) )
% 5.44/5.68 & ! [V2x: $i] :
% 5.44/5.68 ( ( mem @ V2x @ A_27a )
% 5.44/5.68 => ! [V3y: $i] :
% 5.44/5.68 ( ( mem @ V3y @ A_27a )
% 5.44/5.68 => ! [V4z: $i] :
% 5.44/5.68 ( ( mem @ V4z @ A_27a )
% 5.44/5.68 => ( ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ERTC @ A_27a ) @ V0R ) @ V2x ) @ V3y ) )
% 5.44/5.68 & ( p @ ( ap @ ( ap @ V0R @ V3y ) @ V4z ) ) )
% 5.44/5.68 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ERTC @ A_27a ) @ V0R ) @ V2x ) @ V4z ) ) ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2ERTC__STRONG__INDUCT__RIGHT1,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ! [V1P: $i] :
% 5.44/5.68 ( ( mem @ V1P @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ( ( ! [V2x: $i] :
% 5.44/5.68 ( ( mem @ V2x @ A_27a )
% 5.44/5.68 => ( p @ ( ap @ ( ap @ V1P @ V2x ) @ V2x ) ) )
% 5.44/5.68 & ! [V3x: $i] :
% 5.44/5.68 ( ( mem @ V3x @ A_27a )
% 5.44/5.68 => ! [V4y: $i] :
% 5.44/5.68 ( ( mem @ V4y @ A_27a )
% 5.44/5.68 => ! [V5z: $i] :
% 5.44/5.68 ( ( mem @ V5z @ A_27a )
% 5.44/5.68 => ( ( ( p @ ( ap @ ( ap @ V1P @ V3x ) @ V4y ) )
% 5.44/5.68 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ERTC @ A_27a ) @ V0R ) @ V3x ) @ V4y ) )
% 5.44/5.68 & ( p @ ( ap @ ( ap @ V0R @ V4y ) @ V5z ) ) )
% 5.44/5.68 => ( p @ ( ap @ ( ap @ V1P @ V3x ) @ V5z ) ) ) ) ) ) )
% 5.44/5.68 => ! [V6x: $i] :
% 5.44/5.68 ( ( mem @ V6x @ A_27a )
% 5.44/5.68 => ! [V7y: $i] :
% 5.44/5.68 ( ( mem @ V7y @ A_27a )
% 5.44/5.68 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ERTC @ A_27a ) @ V0R ) @ V6x ) @ V7y ) )
% 5.44/5.68 => ( p @ ( ap @ ( ap @ V1P @ V6x ) @ V7y ) ) ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2EEXTEND__RTC__TC,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ! [V1x: $i] :
% 5.44/5.68 ( ( mem @ V1x @ A_27a )
% 5.44/5.68 => ! [V2y: $i] :
% 5.44/5.68 ( ( mem @ V2y @ A_27a )
% 5.44/5.68 => ! [V3z: $i] :
% 5.44/5.68 ( ( mem @ V3z @ A_27a )
% 5.44/5.68 => ( ( ( p @ ( ap @ ( ap @ V0R @ V1x ) @ V2y ) )
% 5.44/5.68 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ERTC @ A_27a ) @ V0R ) @ V2y ) @ V3z ) ) )
% 5.44/5.68 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ETC @ A_27a ) @ V0R ) @ V1x ) @ V3z ) ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2EEXTEND__RTC__TC__EQN,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ! [V1x: $i] :
% 5.44/5.68 ( ( mem @ V1x @ A_27a )
% 5.44/5.68 => ! [V2z: $i] :
% 5.44/5.68 ( ( mem @ V2z @ A_27a )
% 5.44/5.68 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ETC @ A_27a ) @ V0R ) @ V1x ) @ V2z ) )
% 5.44/5.68 <=> ? [V3y: $i] :
% 5.44/5.68 ( ( mem @ V3y @ A_27a )
% 5.44/5.68 & ( p @ ( ap @ ( ap @ V0R @ V1x ) @ V3y ) )
% 5.44/5.68 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ERTC @ A_27a ) @ V0R ) @ V3y ) @ V2z ) ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2Ereflexive__RC__identity,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ( ( p @ ( ap @ ( c_2Erelation_2Ereflexive @ A_27a ) @ V0R ) )
% 5.44/5.68 => ( ( ap @ ( c_2Erelation_2ERC @ A_27a ) @ V0R )
% 5.44/5.68 = V0R ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2Esymmetric__SC__identity,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ( ( p @ ( ap @ ( c_2Erelation_2Esymmetric @ A_27a ) @ V0R ) )
% 5.44/5.68 => ( ( ap @ ( c_2Erelation_2ESC @ A_27a ) @ V0R )
% 5.44/5.68 = V0R ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2Etransitive__TC__identity,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ( ( p @ ( ap @ ( c_2Erelation_2Etransitive @ A_27a ) @ V0R ) )
% 5.44/5.68 => ( ( ap @ ( c_2Erelation_2ETC @ A_27a ) @ V0R )
% 5.44/5.68 = V0R ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2ERC__IDEM,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ( ( ap @ ( c_2Erelation_2ERC @ A_27a ) @ ( ap @ ( c_2Erelation_2ERC @ A_27a ) @ V0R ) )
% 5.44/5.68 = ( ap @ ( c_2Erelation_2ERC @ A_27a ) @ V0R ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2ESC__IDEM,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ( ( ap @ ( c_2Erelation_2ESC @ A_27a ) @ ( ap @ ( c_2Erelation_2ESC @ A_27a ) @ V0R ) )
% 5.44/5.68 = ( ap @ ( c_2Erelation_2ESC @ A_27a ) @ V0R ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2ETC__IDEM,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ( ( ap @ ( c_2Erelation_2ETC @ A_27a ) @ ( ap @ ( c_2Erelation_2ETC @ A_27a ) @ V0R ) )
% 5.44/5.68 = ( ap @ ( c_2Erelation_2ETC @ A_27a ) @ V0R ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2ERC__MOVES__OUT,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ( ( ( ap @ ( c_2Erelation_2ESC @ A_27a ) @ ( ap @ ( c_2Erelation_2ERC @ A_27a ) @ V0R ) )
% 5.44/5.68 = ( ap @ ( c_2Erelation_2ERC @ A_27a ) @ ( ap @ ( c_2Erelation_2ESC @ A_27a ) @ V0R ) ) )
% 5.44/5.68 & ( ( ap @ ( c_2Erelation_2ERC @ A_27a ) @ ( ap @ ( c_2Erelation_2ERC @ A_27a ) @ V0R ) )
% 5.44/5.68 = ( ap @ ( c_2Erelation_2ERC @ A_27a ) @ V0R ) )
% 5.44/5.68 & ( ( ap @ ( c_2Erelation_2ETC @ A_27a ) @ ( ap @ ( c_2Erelation_2ERC @ A_27a ) @ V0R ) )
% 5.44/5.68 = ( ap @ ( c_2Erelation_2ERC @ A_27a ) @ ( ap @ ( c_2Erelation_2ETC @ A_27a ) @ V0R ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2Esymmetric__TC,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ( ( p @ ( ap @ ( c_2Erelation_2Esymmetric @ A_27a ) @ V0R ) )
% 5.44/5.68 => ( p @ ( ap @ ( c_2Erelation_2Esymmetric @ A_27a ) @ ( ap @ ( c_2Erelation_2ETC @ A_27a ) @ V0R ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2Ereflexive__TC,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ( ( p @ ( ap @ ( c_2Erelation_2Ereflexive @ A_27a ) @ V0R ) )
% 5.44/5.68 => ( p @ ( ap @ ( c_2Erelation_2Ereflexive @ A_27a ) @ ( ap @ ( c_2Erelation_2ETC @ A_27a ) @ V0R ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2EEQC__EQUIVALENCE,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ( p @ ( ap @ ( c_2Erelation_2Eequivalence @ A_27a ) @ ( ap @ ( c_2Erelation_2EEQC @ A_27a ) @ V0R ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2EEQC__IDEM,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ( ( ap @ ( c_2Erelation_2EEQC @ A_27a ) @ ( ap @ ( c_2Erelation_2EEQC @ A_27a ) @ V0R ) )
% 5.44/5.68 = ( ap @ ( c_2Erelation_2EEQC @ A_27a ) @ V0R ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2ERTC__IDEM,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ( ( ap @ ( c_2Erelation_2ERTC @ A_27a ) @ ( ap @ ( c_2Erelation_2ERTC @ A_27a ) @ V0R ) )
% 5.44/5.68 = ( ap @ ( c_2Erelation_2ERTC @ A_27a ) @ V0R ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2ERTC__CASES1,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ! [V1x: $i] :
% 5.44/5.68 ( ( mem @ V1x @ A_27a )
% 5.44/5.68 => ! [V2y: $i] :
% 5.44/5.68 ( ( mem @ V2y @ A_27a )
% 5.44/5.68 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ERTC @ A_27a ) @ V0R ) @ V1x ) @ V2y ) )
% 5.44/5.68 <=> ( ( V1x = V2y )
% 5.44/5.68 | ? [V3u: $i] :
% 5.44/5.68 ( ( mem @ V3u @ A_27a )
% 5.44/5.68 & ( p @ ( ap @ ( ap @ V0R @ V1x ) @ V3u ) )
% 5.44/5.68 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ERTC @ A_27a ) @ V0R ) @ V3u ) @ V2y ) ) ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2ERTC__CASES__TC,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ! [V1x: $i] :
% 5.44/5.68 ( ( mem @ V1x @ A_27a )
% 5.44/5.68 => ! [V2y: $i] :
% 5.44/5.68 ( ( mem @ V2y @ A_27a )
% 5.44/5.68 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ERTC @ A_27a ) @ V0R ) @ V1x ) @ V2y ) )
% 5.44/5.68 <=> ( ( V1x = V2y )
% 5.44/5.68 | ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ETC @ A_27a ) @ V0R ) @ V1x ) @ V2y ) ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2ERTC__CASES2,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ! [V1x: $i] :
% 5.44/5.68 ( ( mem @ V1x @ A_27a )
% 5.44/5.68 => ! [V2y: $i] :
% 5.44/5.68 ( ( mem @ V2y @ A_27a )
% 5.44/5.68 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ERTC @ A_27a ) @ V0R ) @ V1x ) @ V2y ) )
% 5.44/5.68 <=> ( ( V1x = V2y )
% 5.44/5.68 | ? [V3u: $i] :
% 5.44/5.68 ( ( mem @ V3u @ A_27a )
% 5.44/5.68 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ERTC @ A_27a ) @ V0R ) @ V1x ) @ V3u ) )
% 5.44/5.68 & ( p @ ( ap @ ( ap @ V0R @ V3u ) @ V2y ) ) ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2ERTC__CASES__RTC__TWICE,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ! [V1x: $i] :
% 5.44/5.68 ( ( mem @ V1x @ A_27a )
% 5.44/5.68 => ! [V2y: $i] :
% 5.44/5.68 ( ( mem @ V2y @ A_27a )
% 5.44/5.68 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ERTC @ A_27a ) @ V0R ) @ V1x ) @ V2y ) )
% 5.44/5.68 <=> ? [V3u: $i] :
% 5.44/5.68 ( ( mem @ V3u @ A_27a )
% 5.44/5.68 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ERTC @ A_27a ) @ V0R ) @ V1x ) @ V3u ) )
% 5.44/5.68 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ERTC @ A_27a ) @ V0R ) @ V3u ) @ V2y ) ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2ETC__CASES1__E,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ! [V1x: $i] :
% 5.44/5.68 ( ( mem @ V1x @ A_27a )
% 5.44/5.68 => ! [V2z: $i] :
% 5.44/5.68 ( ( mem @ V2z @ A_27a )
% 5.44/5.68 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ETC @ A_27a ) @ V0R ) @ V1x ) @ V2z ) )
% 5.44/5.68 => ( ( p @ ( ap @ ( ap @ V0R @ V1x ) @ V2z ) )
% 5.44/5.68 | ? [V3y: $i] :
% 5.44/5.68 ( ( mem @ V3y @ A_27a )
% 5.44/5.68 & ( p @ ( ap @ ( ap @ V0R @ V1x ) @ V3y ) )
% 5.44/5.68 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ETC @ A_27a ) @ V0R ) @ V3y ) @ V2z ) ) ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2ETC__CASES1,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ! [V1x: $i] :
% 5.44/5.68 ( ( mem @ V1x @ A_27a )
% 5.44/5.68 => ! [V2z: $i] :
% 5.44/5.68 ( ( mem @ V2z @ A_27a )
% 5.44/5.68 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ETC @ A_27a ) @ V0R ) @ V1x ) @ V2z ) )
% 5.44/5.68 <=> ( ( p @ ( ap @ ( ap @ V0R @ V1x ) @ V2z ) )
% 5.44/5.68 | ? [V3y: $i] :
% 5.44/5.68 ( ( mem @ V3y @ A_27a )
% 5.44/5.68 & ( p @ ( ap @ ( ap @ V0R @ V1x ) @ V3y ) )
% 5.44/5.68 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ETC @ A_27a ) @ V0R ) @ V3y ) @ V2z ) ) ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2ETC__CASES2__E,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ! [V1x: $i] :
% 5.44/5.68 ( ( mem @ V1x @ A_27a )
% 5.44/5.68 => ! [V2z: $i] :
% 5.44/5.68 ( ( mem @ V2z @ A_27a )
% 5.44/5.68 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ETC @ A_27a ) @ V0R ) @ V1x ) @ V2z ) )
% 5.44/5.68 => ( ( p @ ( ap @ ( ap @ V0R @ V1x ) @ V2z ) )
% 5.44/5.68 | ? [V3y: $i] :
% 5.44/5.68 ( ( mem @ V3y @ A_27a )
% 5.44/5.68 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ETC @ A_27a ) @ V0R ) @ V1x ) @ V3y ) )
% 5.44/5.68 & ( p @ ( ap @ ( ap @ V0R @ V3y ) @ V2z ) ) ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2ETC__CASES2,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ! [V1x: $i] :
% 5.44/5.68 ( ( mem @ V1x @ A_27a )
% 5.44/5.68 => ! [V2z: $i] :
% 5.44/5.68 ( ( mem @ V2z @ A_27a )
% 5.44/5.68 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ETC @ A_27a ) @ V0R ) @ V1x ) @ V2z ) )
% 5.44/5.68 <=> ( ( p @ ( ap @ ( ap @ V0R @ V1x ) @ V2z ) )
% 5.44/5.68 | ? [V3y: $i] :
% 5.44/5.68 ( ( mem @ V3y @ A_27a )
% 5.44/5.68 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ETC @ A_27a ) @ V0R ) @ V1x ) @ V3y ) )
% 5.44/5.68 & ( p @ ( ap @ ( ap @ V0R @ V3y ) @ V2z ) ) ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2ETC__MONOTONE,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ! [V1Q: $i] :
% 5.44/5.68 ( ( mem @ V1Q @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ! [V2x: $i] :
% 5.44/5.68 ( ( mem @ V2x @ A_27a )
% 5.44/5.68 => ! [V3y: $i] :
% 5.44/5.68 ( ( mem @ V3y @ A_27a )
% 5.44/5.68 => ( ! [V4x: $i] :
% 5.44/5.68 ( ( mem @ V4x @ A_27a )
% 5.44/5.68 => ! [V5y: $i] :
% 5.44/5.68 ( ( mem @ V5y @ A_27a )
% 5.44/5.68 => ( ( p @ ( ap @ ( ap @ V0R @ V4x ) @ V5y ) )
% 5.44/5.68 => ( p @ ( ap @ ( ap @ V1Q @ V4x ) @ V5y ) ) ) ) )
% 5.44/5.68 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ETC @ A_27a ) @ V0R ) @ V2x ) @ V3y ) )
% 5.44/5.68 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ETC @ A_27a ) @ V1Q ) @ V2x ) @ V3y ) ) ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2ERTC__MONOTONE,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ! [V1Q: $i] :
% 5.44/5.68 ( ( mem @ V1Q @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ! [V2x: $i] :
% 5.44/5.68 ( ( mem @ V2x @ A_27a )
% 5.44/5.68 => ! [V3y: $i] :
% 5.44/5.68 ( ( mem @ V3y @ A_27a )
% 5.44/5.68 => ( ! [V4x: $i] :
% 5.44/5.68 ( ( mem @ V4x @ A_27a )
% 5.44/5.68 => ! [V5y: $i] :
% 5.44/5.68 ( ( mem @ V5y @ A_27a )
% 5.44/5.68 => ( ( p @ ( ap @ ( ap @ V0R @ V4x ) @ V5y ) )
% 5.44/5.68 => ( p @ ( ap @ ( ap @ V1Q @ V4x ) @ V5y ) ) ) ) )
% 5.44/5.68 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ERTC @ A_27a ) @ V0R ) @ V2x ) @ V3y ) )
% 5.44/5.68 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ERTC @ A_27a ) @ V1Q ) @ V2x ) @ V3y ) ) ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2EEQC__INDUCTION,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ! [V1P: $i] :
% 5.44/5.68 ( ( mem @ V1P @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ( ( ! [V2x: $i] :
% 5.44/5.68 ( ( mem @ V2x @ A_27a )
% 5.44/5.68 => ! [V3y: $i] :
% 5.44/5.68 ( ( mem @ V3y @ A_27a )
% 5.44/5.68 => ( ( p @ ( ap @ ( ap @ V0R @ V2x ) @ V3y ) )
% 5.44/5.68 => ( p @ ( ap @ ( ap @ V1P @ V2x ) @ V3y ) ) ) ) )
% 5.44/5.68 & ! [V4x: $i] :
% 5.44/5.68 ( ( mem @ V4x @ A_27a )
% 5.44/5.68 => ( p @ ( ap @ ( ap @ V1P @ V4x ) @ V4x ) ) )
% 5.44/5.68 & ! [V5x: $i] :
% 5.44/5.68 ( ( mem @ V5x @ A_27a )
% 5.44/5.68 => ! [V6y: $i] :
% 5.44/5.68 ( ( mem @ V6y @ A_27a )
% 5.44/5.68 => ( ( p @ ( ap @ ( ap @ V1P @ V5x ) @ V6y ) )
% 5.44/5.68 => ( p @ ( ap @ ( ap @ V1P @ V6y ) @ V5x ) ) ) ) )
% 5.44/5.68 & ! [V7x: $i] :
% 5.44/5.68 ( ( mem @ V7x @ A_27a )
% 5.44/5.68 => ! [V8y: $i] :
% 5.44/5.68 ( ( mem @ V8y @ A_27a )
% 5.44/5.68 => ! [V9z: $i] :
% 5.44/5.68 ( ( mem @ V9z @ A_27a )
% 5.44/5.68 => ( ( ( p @ ( ap @ ( ap @ V1P @ V7x ) @ V8y ) )
% 5.44/5.68 & ( p @ ( ap @ ( ap @ V1P @ V8y ) @ V9z ) ) )
% 5.44/5.68 => ( p @ ( ap @ ( ap @ V1P @ V7x ) @ V9z ) ) ) ) ) ) )
% 5.44/5.68 => ! [V10x: $i] :
% 5.44/5.68 ( ( mem @ V10x @ A_27a )
% 5.44/5.68 => ! [V11y: $i] :
% 5.44/5.68 ( ( mem @ V11y @ A_27a )
% 5.44/5.68 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2EEQC @ A_27a ) @ V0R ) @ V10x ) @ V11y ) )
% 5.44/5.68 => ( p @ ( ap @ ( ap @ V1P @ V10x ) @ V11y ) ) ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2EEQC__REFL,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ! [V1x: $i] :
% 5.44/5.68 ( ( mem @ V1x @ A_27a )
% 5.44/5.68 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2EEQC @ A_27a ) @ V0R ) @ V1x ) @ V1x ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2EEQC__R,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ! [V1x: $i] :
% 5.44/5.68 ( ( mem @ V1x @ A_27a )
% 5.44/5.68 => ! [V2y: $i] :
% 5.44/5.68 ( ( mem @ V2y @ A_27a )
% 5.44/5.68 => ( ( p @ ( ap @ ( ap @ V0R @ V1x ) @ V2y ) )
% 5.44/5.68 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2EEQC @ A_27a ) @ V0R ) @ V1x ) @ V2y ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2EEQC__SYM,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ! [V1x: $i] :
% 5.44/5.68 ( ( mem @ V1x @ A_27a )
% 5.44/5.68 => ! [V2y: $i] :
% 5.44/5.68 ( ( mem @ V2y @ A_27a )
% 5.44/5.68 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2EEQC @ A_27a ) @ V0R ) @ V1x ) @ V2y ) )
% 5.44/5.68 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2EEQC @ A_27a ) @ V0R ) @ V2y ) @ V1x ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2EEQC__TRANS,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ! [V1x: $i] :
% 5.44/5.68 ( ( mem @ V1x @ A_27a )
% 5.44/5.68 => ! [V2y: $i] :
% 5.44/5.68 ( ( mem @ V2y @ A_27a )
% 5.44/5.68 => ! [V3z: $i] :
% 5.44/5.68 ( ( mem @ V3z @ A_27a )
% 5.44/5.68 => ( ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2EEQC @ A_27a ) @ V0R ) @ V1x ) @ V2y ) )
% 5.44/5.68 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2EEQC @ A_27a ) @ V0R ) @ V2y ) @ V3z ) ) )
% 5.44/5.68 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2EEQC @ A_27a ) @ V0R ) @ V1x ) @ V3z ) ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2Etransitive__EQC,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ( p @ ( ap @ ( c_2Erelation_2Etransitive @ A_27a ) @ ( ap @ ( c_2Erelation_2EEQC @ A_27a ) @ V0R ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2Esymmetric__EQC,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ( p @ ( ap @ ( c_2Erelation_2Esymmetric @ A_27a ) @ ( ap @ ( c_2Erelation_2EEQC @ A_27a ) @ V0R ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2Ereflexive__EQC,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ( p @ ( ap @ ( c_2Erelation_2Ereflexive @ A_27a ) @ ( ap @ ( c_2Erelation_2EEQC @ A_27a ) @ V0R ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2EEQC__MOVES__IN,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ( ( ( ap @ ( c_2Erelation_2EEQC @ A_27a ) @ ( ap @ ( c_2Erelation_2ERC @ A_27a ) @ V0R ) )
% 5.44/5.68 = ( ap @ ( c_2Erelation_2EEQC @ A_27a ) @ V0R ) )
% 5.44/5.68 & ( ( ap @ ( c_2Erelation_2EEQC @ A_27a ) @ ( ap @ ( c_2Erelation_2ESC @ A_27a ) @ V0R ) )
% 5.44/5.68 = ( ap @ ( c_2Erelation_2EEQC @ A_27a ) @ V0R ) )
% 5.44/5.68 & ( ( ap @ ( c_2Erelation_2EEQC @ A_27a ) @ ( ap @ ( c_2Erelation_2ETC @ A_27a ) @ V0R ) )
% 5.44/5.68 = ( ap @ ( c_2Erelation_2EEQC @ A_27a ) @ V0R ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2ESTRONG__EQC__INDUCTION,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ! [V1P: $i] :
% 5.44/5.68 ( ( mem @ V1P @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ( ( ! [V2x: $i] :
% 5.44/5.68 ( ( mem @ V2x @ A_27a )
% 5.44/5.68 => ! [V3y: $i] :
% 5.44/5.68 ( ( mem @ V3y @ A_27a )
% 5.44/5.68 => ( ( p @ ( ap @ ( ap @ V0R @ V2x ) @ V3y ) )
% 5.44/5.68 => ( p @ ( ap @ ( ap @ V1P @ V2x ) @ V3y ) ) ) ) )
% 5.44/5.68 & ! [V4x: $i] :
% 5.44/5.68 ( ( mem @ V4x @ A_27a )
% 5.44/5.68 => ( p @ ( ap @ ( ap @ V1P @ V4x ) @ V4x ) ) )
% 5.44/5.68 & ! [V5x: $i] :
% 5.44/5.68 ( ( mem @ V5x @ A_27a )
% 5.44/5.68 => ! [V6y: $i] :
% 5.44/5.68 ( ( mem @ V6y @ A_27a )
% 5.44/5.68 => ( ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2EEQC @ A_27a ) @ V0R ) @ V5x ) @ V6y ) )
% 5.44/5.68 & ( p @ ( ap @ ( ap @ V1P @ V5x ) @ V6y ) ) )
% 5.44/5.68 => ( p @ ( ap @ ( ap @ V1P @ V6y ) @ V5x ) ) ) ) )
% 5.44/5.68 & ! [V7x: $i] :
% 5.44/5.68 ( ( mem @ V7x @ A_27a )
% 5.44/5.68 => ! [V8y: $i] :
% 5.44/5.68 ( ( mem @ V8y @ A_27a )
% 5.44/5.68 => ! [V9z: $i] :
% 5.44/5.68 ( ( mem @ V9z @ A_27a )
% 5.44/5.68 => ( ( ( p @ ( ap @ ( ap @ V1P @ V7x ) @ V8y ) )
% 5.44/5.68 & ( p @ ( ap @ ( ap @ V1P @ V8y ) @ V9z ) )
% 5.44/5.68 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2EEQC @ A_27a ) @ V0R ) @ V7x ) @ V8y ) )
% 5.44/5.68 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2EEQC @ A_27a ) @ V0R ) @ V8y ) @ V9z ) ) )
% 5.44/5.68 => ( p @ ( ap @ ( ap @ V1P @ V7x ) @ V9z ) ) ) ) ) ) )
% 5.44/5.68 => ! [V10x: $i] :
% 5.44/5.68 ( ( mem @ V10x @ A_27a )
% 5.44/5.68 => ! [V11y: $i] :
% 5.44/5.68 ( ( mem @ V11y @ A_27a )
% 5.44/5.68 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2EEQC @ A_27a ) @ V0R ) @ V10x ) @ V11y ) )
% 5.44/5.68 => ( p @ ( ap @ ( ap @ V1P @ V10x ) @ V11y ) ) ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2EALT__equivalence,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ( ( p @ ( ap @ ( c_2Erelation_2Eequivalence @ A_27a ) @ V0R ) )
% 5.44/5.68 <=> ! [V1x: $i] :
% 5.44/5.68 ( ( mem @ V1x @ A_27a )
% 5.44/5.68 => ! [V2y: $i] :
% 5.44/5.68 ( ( mem @ V2y @ A_27a )
% 5.44/5.68 => ( ( p @ ( ap @ ( ap @ V0R @ V1x ) @ V2y ) )
% 5.44/5.68 <=> ( ( ap @ V0R @ V1x )
% 5.44/5.68 = ( ap @ V0R @ V2y ) ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2EEQC__MONOTONE,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ! [V1R_27: $i] :
% 5.44/5.68 ( ( mem @ V1R_27 @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ! [V2x: $i] :
% 5.44/5.68 ( ( mem @ V2x @ A_27a )
% 5.44/5.68 => ! [V3y: $i] :
% 5.44/5.68 ( ( mem @ V3y @ A_27a )
% 5.44/5.68 => ( ! [V4x: $i] :
% 5.44/5.68 ( ( mem @ V4x @ A_27a )
% 5.44/5.68 => ! [V5y: $i] :
% 5.44/5.68 ( ( mem @ V5y @ A_27a )
% 5.44/5.68 => ( ( p @ ( ap @ ( ap @ V0R @ V4x ) @ V5y ) )
% 5.44/5.68 => ( p @ ( ap @ ( ap @ V1R_27 @ V4x ) @ V5y ) ) ) ) )
% 5.44/5.68 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2EEQC @ A_27a ) @ V0R ) @ V2x ) @ V3y ) )
% 5.44/5.68 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2EEQC @ A_27a ) @ V1R_27 ) @ V2x ) @ V3y ) ) ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2ERTC__EQC,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ! [V1x: $i] :
% 5.44/5.68 ( ( mem @ V1x @ A_27a )
% 5.44/5.68 => ! [V2y: $i] :
% 5.44/5.68 ( ( mem @ V2y @ A_27a )
% 5.44/5.68 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ERTC @ A_27a ) @ V0R ) @ V1x ) @ V2y ) )
% 5.44/5.68 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2EEQC @ A_27a ) @ V0R ) @ V1x ) @ V2y ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2ERTC__lifts__monotonicities,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ! [V1f: $i] :
% 5.44/5.68 ( ( mem @ V1f @ ( arr @ A_27a @ A_27a ) )
% 5.44/5.68 => ( ! [V2x: $i] :
% 5.44/5.68 ( ( mem @ V2x @ A_27a )
% 5.44/5.68 => ! [V3y: $i] :
% 5.44/5.68 ( ( mem @ V3y @ A_27a )
% 5.44/5.68 => ( ( p @ ( ap @ ( ap @ V0R @ V2x ) @ V3y ) )
% 5.44/5.68 => ( p @ ( ap @ ( ap @ V0R @ ( ap @ V1f @ V2x ) ) @ ( ap @ V1f @ V3y ) ) ) ) ) )
% 5.44/5.68 => ! [V4x: $i] :
% 5.44/5.68 ( ( mem @ V4x @ A_27a )
% 5.44/5.68 => ! [V5y: $i] :
% 5.44/5.68 ( ( mem @ V5y @ A_27a )
% 5.44/5.68 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ERTC @ A_27a ) @ V0R ) @ V4x ) @ V5y ) )
% 5.44/5.68 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ERTC @ A_27a ) @ V0R ) @ ( ap @ V1f @ V4x ) ) @ ( ap @ V1f @ V5y ) ) ) ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2ERTC__lifts__reflexive__transitive__relations,axiom,
% 5.44/5.68 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ! [V1Q: $i] :
% 5.44/5.68 ( ( mem @ V1Q @ ( arr @ A_27b @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.68 => ! [V2f: $i] :
% 5.44/5.68 ( ( mem @ V2f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.68 => ( ( ! [V3x: $i] :
% 5.44/5.68 ( ( mem @ V3x @ A_27a )
% 5.44/5.68 => ! [V4y: $i] :
% 5.44/5.68 ( ( mem @ V4y @ A_27a )
% 5.44/5.68 => ( ( p @ ( ap @ ( ap @ V0R @ V3x ) @ V4y ) )
% 5.44/5.68 => ( p @ ( ap @ ( ap @ V1Q @ ( ap @ V2f @ V3x ) ) @ ( ap @ V2f @ V4y ) ) ) ) ) )
% 5.44/5.68 & ( p @ ( ap @ ( c_2Erelation_2Ereflexive @ A_27b ) @ V1Q ) )
% 5.44/5.68 & ( p @ ( ap @ ( c_2Erelation_2Etransitive @ A_27b ) @ V1Q ) ) )
% 5.44/5.68 => ! [V5x: $i] :
% 5.44/5.68 ( ( mem @ V5x @ A_27a )
% 5.44/5.68 => ! [V6y: $i] :
% 5.44/5.68 ( ( mem @ V6y @ A_27a )
% 5.44/5.68 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ERTC @ A_27a ) @ V0R ) @ V5x ) @ V6y ) )
% 5.44/5.68 => ( p @ ( ap @ ( ap @ V1Q @ ( ap @ V2f @ V5x ) ) @ ( ap @ V2f @ V6y ) ) ) ) ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2ERTC__lifts__equalities,axiom,
% 5.44/5.68 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ! [V1f: $i] :
% 5.44/5.68 ( ( mem @ V1f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.68 => ( ! [V2x: $i] :
% 5.44/5.68 ( ( mem @ V2x @ A_27a )
% 5.44/5.68 => ! [V3y: $i] :
% 5.44/5.68 ( ( mem @ V3y @ A_27a )
% 5.44/5.68 => ( ( p @ ( ap @ ( ap @ V0R @ V2x ) @ V3y ) )
% 5.44/5.68 => ( ( ap @ V1f @ V2x )
% 5.44/5.68 = ( ap @ V1f @ V3y ) ) ) ) )
% 5.44/5.68 => ! [V4x: $i] :
% 5.44/5.68 ( ( mem @ V4x @ A_27a )
% 5.44/5.68 => ! [V5y: $i] :
% 5.44/5.68 ( ( mem @ V5y @ A_27a )
% 5.44/5.68 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ERTC @ A_27a ) @ V0R ) @ V4x ) @ V5y ) )
% 5.44/5.68 => ( ( ap @ V1f @ V4x )
% 5.44/5.68 = ( ap @ V1f @ V5y ) ) ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2ERTC__lifts__invariants,axiom,
% 5.44/5.68 ! [A_27a: del,V0P: $i] :
% 5.44/5.68 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.44/5.68 => ! [V1R: $i] :
% 5.44/5.68 ( ( mem @ V1R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ( ! [V2x: $i] :
% 5.44/5.68 ( ( mem @ V2x @ A_27a )
% 5.44/5.68 => ! [V3y: $i] :
% 5.44/5.68 ( ( mem @ V3y @ A_27a )
% 5.44/5.68 => ( ( ( p @ ( ap @ V0P @ V2x ) )
% 5.44/5.68 & ( p @ ( ap @ ( ap @ V1R @ V2x ) @ V3y ) ) )
% 5.44/5.68 => ( p @ ( ap @ V0P @ V3y ) ) ) ) )
% 5.44/5.68 => ! [V4x: $i] :
% 5.44/5.68 ( ( mem @ V4x @ A_27a )
% 5.44/5.68 => ! [V5y: $i] :
% 5.44/5.68 ( ( mem @ V5y @ A_27a )
% 5.44/5.68 => ( ( ( p @ ( ap @ V0P @ V4x ) )
% 5.44/5.68 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ERTC @ A_27a ) @ V1R ) @ V4x ) @ V5y ) ) )
% 5.44/5.68 => ( p @ ( ap @ V0P @ V5y ) ) ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(ax_thm_2Erelation_2EWF__DEF,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ( ( p @ ( ap @ ( c_2Erelation_2EWF @ A_27a ) @ V0R ) )
% 5.44/5.68 <=> ! [V1B: $i] :
% 5.44/5.68 ( ( mem @ V1B @ ( arr @ A_27a @ bool ) )
% 5.44/5.68 => ( ? [V2w: $i] :
% 5.44/5.68 ( ( mem @ V2w @ A_27a )
% 5.44/5.68 & ( p @ ( ap @ V1B @ V2w ) ) )
% 5.44/5.68 => ? [V3min: $i] :
% 5.44/5.68 ( ( mem @ V3min @ A_27a )
% 5.44/5.68 & ( p @ ( ap @ V1B @ V3min ) )
% 5.44/5.68 & ! [V4b: $i] :
% 5.44/5.68 ( ( mem @ V4b @ A_27a )
% 5.44/5.68 => ( ( p @ ( ap @ ( ap @ V0R @ V4b ) @ V3min ) )
% 5.44/5.68 => ~ ( p @ ( ap @ V1B @ V4b ) ) ) ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2EWF__INDUCTION__THM,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ( ( p @ ( ap @ ( c_2Erelation_2EWF @ A_27a ) @ V0R ) )
% 5.44/5.68 => ! [V1P: $i] :
% 5.44/5.68 ( ( mem @ V1P @ ( arr @ A_27a @ bool ) )
% 5.44/5.68 => ( ! [V2x: $i] :
% 5.44/5.68 ( ( mem @ V2x @ A_27a )
% 5.44/5.68 => ( ! [V3y: $i] :
% 5.44/5.68 ( ( mem @ V3y @ A_27a )
% 5.44/5.68 => ( ( p @ ( ap @ ( ap @ V0R @ V3y ) @ V2x ) )
% 5.44/5.68 => ( p @ ( ap @ V1P @ V3y ) ) ) )
% 5.44/5.68 => ( p @ ( ap @ V1P @ V2x ) ) ) )
% 5.44/5.68 => ! [V4x: $i] :
% 5.44/5.68 ( ( mem @ V4x @ A_27a )
% 5.44/5.68 => ( p @ ( ap @ V1P @ V4x ) ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2EINDUCTION__WF__THM,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ( ! [V1P: $i] :
% 5.44/5.68 ( ( mem @ V1P @ ( arr @ A_27a @ bool ) )
% 5.44/5.68 => ( ! [V2x: $i] :
% 5.44/5.68 ( ( mem @ V2x @ A_27a )
% 5.44/5.68 => ( ! [V3y: $i] :
% 5.44/5.68 ( ( mem @ V3y @ A_27a )
% 5.44/5.68 => ( ( p @ ( ap @ ( ap @ V0R @ V3y ) @ V2x ) )
% 5.44/5.68 => ( p @ ( ap @ V1P @ V3y ) ) ) )
% 5.44/5.68 => ( p @ ( ap @ V1P @ V2x ) ) ) )
% 5.44/5.68 => ! [V4x: $i] :
% 5.44/5.68 ( ( mem @ V4x @ A_27a )
% 5.44/5.68 => ( p @ ( ap @ V1P @ V4x ) ) ) ) )
% 5.44/5.68 => ( p @ ( ap @ ( c_2Erelation_2EWF @ A_27a ) @ V0R ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2EWF__EQ__INDUCTION__THM,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ( ( p @ ( ap @ ( c_2Erelation_2EWF @ A_27a ) @ V0R ) )
% 5.44/5.68 <=> ! [V1P: $i] :
% 5.44/5.68 ( ( mem @ V1P @ ( arr @ A_27a @ bool ) )
% 5.44/5.68 => ( ! [V2x: $i] :
% 5.44/5.68 ( ( mem @ V2x @ A_27a )
% 5.44/5.68 => ( ! [V3y: $i] :
% 5.44/5.68 ( ( mem @ V3y @ A_27a )
% 5.44/5.68 => ( ( p @ ( ap @ ( ap @ V0R @ V3y ) @ V2x ) )
% 5.44/5.68 => ( p @ ( ap @ V1P @ V3y ) ) ) )
% 5.44/5.68 => ( p @ ( ap @ V1P @ V2x ) ) ) )
% 5.44/5.68 => ! [V4x: $i] :
% 5.44/5.68 ( ( mem @ V4x @ A_27a )
% 5.44/5.68 => ( p @ ( ap @ V1P @ V4x ) ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2EWF__NOT__REFL,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ! [V1x: $i] :
% 5.44/5.68 ( ( mem @ V1x @ A_27a )
% 5.44/5.68 => ! [V2y: $i] :
% 5.44/5.68 ( ( mem @ V2y @ A_27a )
% 5.44/5.68 => ( ( p @ ( ap @ ( c_2Erelation_2EWF @ A_27a ) @ V0R ) )
% 5.44/5.68 => ( ( p @ ( ap @ ( ap @ V0R @ V1x ) @ V2y ) )
% 5.44/5.68 => ( V1x != V2y ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2EWF__irreflexive,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ( ( p @ ( ap @ ( c_2Erelation_2EWF @ A_27a ) @ V0R ) )
% 5.44/5.68 => ( p @ ( ap @ ( c_2Erelation_2Eirreflexive @ A_27a ) @ V0R ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(ax_thm_2Erelation_2EEMPTY__REL__DEF,axiom,
% 5.44/5.68 ! [A_27a: del,V0x: $i] :
% 5.44/5.68 ( ( mem @ V0x @ A_27a )
% 5.44/5.68 => ! [V1y: $i] :
% 5.44/5.68 ( ( mem @ V1y @ A_27a )
% 5.44/5.68 => ( ( p @ ( ap @ ( ap @ ( c_2Erelation_2EEMPTY__REL @ A_27a ) @ V0x ) @ V1y ) )
% 5.44/5.68 <=> $false ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2EWF__EMPTY__REL,axiom,
% 5.44/5.68 ! [A_27a: del] : ( p @ ( ap @ ( c_2Erelation_2EWF @ A_27a ) @ ( c_2Erelation_2EEMPTY__REL @ A_27a ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2EWF__SUBSET,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ! [V1P: $i] :
% 5.44/5.68 ( ( mem @ V1P @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ( ( ( p @ ( ap @ ( c_2Erelation_2EWF @ A_27a ) @ V0R ) )
% 5.44/5.68 & ! [V2x: $i] :
% 5.44/5.68 ( ( mem @ V2x @ A_27a )
% 5.44/5.68 => ! [V3y: $i] :
% 5.44/5.68 ( ( mem @ V3y @ A_27a )
% 5.44/5.68 => ( ( p @ ( ap @ ( ap @ V1P @ V2x ) @ V3y ) )
% 5.44/5.68 => ( p @ ( ap @ ( ap @ V0R @ V2x ) @ V3y ) ) ) ) ) )
% 5.44/5.68 => ( p @ ( ap @ ( c_2Erelation_2EWF @ A_27a ) @ V1P ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2EWF__TC,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ( ( p @ ( ap @ ( c_2Erelation_2EWF @ A_27a ) @ V0R ) )
% 5.44/5.68 => ( p @ ( ap @ ( c_2Erelation_2EWF @ A_27a ) @ ( ap @ ( c_2Erelation_2ETC @ A_27a ) @ V0R ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2EWF__TC__EQN,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ( ( p @ ( ap @ ( c_2Erelation_2EWF @ A_27a ) @ ( ap @ ( c_2Erelation_2ETC @ A_27a ) @ V0R ) ) )
% 5.44/5.68 <=> ( p @ ( ap @ ( c_2Erelation_2EWF @ A_27a ) @ V0R ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2EWF__noloops,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ! [V1x: $i] :
% 5.44/5.68 ( ( mem @ V1x @ A_27a )
% 5.44/5.68 => ! [V2y: $i] :
% 5.44/5.68 ( ( mem @ V2y @ A_27a )
% 5.44/5.68 => ( ( p @ ( ap @ ( c_2Erelation_2EWF @ A_27a ) @ V0R ) )
% 5.44/5.68 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ETC @ A_27a ) @ V0R ) @ V1x ) @ V2y ) )
% 5.44/5.68 => ( V1x != V2y ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2EWF__antisymmetric,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ( ( p @ ( ap @ ( c_2Erelation_2EWF @ A_27a ) @ V0R ) )
% 5.44/5.68 => ( p @ ( ap @ ( c_2Erelation_2Eantisymmetric @ A_27a ) @ V0R ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(ax_thm_2Erelation_2Einv__image__def,axiom,
% 5.44/5.68 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27b @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.68 => ! [V1f: $i] :
% 5.44/5.68 ( ( mem @ V1f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.68 => ( ( ap @ ( ap @ ( c_2Erelation_2Einv__image @ A_27a @ A_27b ) @ V0R ) @ V1f )
% 5.44/5.68 = ( lam @ A_27a
% 5.44/5.68 @ ^ [V2x: $i] :
% 5.44/5.68 ( lam @ A_27a
% 5.44/5.68 @ ^ [V3y: $i] : ( ap @ ( ap @ V0R @ ( ap @ V1f @ V2x ) ) @ ( ap @ V1f @ V3y ) ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2Einv__image__thm,axiom,
% 5.44/5.68 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27b @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.68 => ! [V1f: $i] :
% 5.44/5.68 ( ( mem @ V1f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.68 => ! [V2x: $i] :
% 5.44/5.68 ( ( mem @ V2x @ A_27a )
% 5.44/5.68 => ! [V3y: $i] :
% 5.44/5.68 ( ( mem @ V3y @ A_27a )
% 5.44/5.68 => ( ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2Einv__image @ A_27a @ A_27b ) @ V0R ) @ V1f ) @ V2x ) @ V3y ) )
% 5.44/5.68 <=> ( p @ ( ap @ ( ap @ V0R @ ( ap @ V1f @ V2x ) ) @ ( ap @ V1f @ V3y ) ) ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2EWF__inv__image,axiom,
% 5.44/5.68 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27b @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.68 => ! [V1f: $i] :
% 5.44/5.68 ( ( mem @ V1f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.68 => ( ( p @ ( ap @ ( c_2Erelation_2EWF @ A_27b ) @ V0R ) )
% 5.44/5.68 => ( p @ ( ap @ ( c_2Erelation_2EWF @ A_27a ) @ ( ap @ ( ap @ ( c_2Erelation_2Einv__image @ A_27a @ A_27b ) @ V0R ) @ V1f ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2Etotal__inv__image,axiom,
% 5.44/5.68 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ! [V1f: $i] :
% 5.44/5.68 ( ( mem @ V1f @ ( arr @ A_27b @ A_27a ) )
% 5.44/5.68 => ( ( p @ ( ap @ ( c_2Erelation_2Etotal @ A_27a ) @ V0R ) )
% 5.44/5.68 => ( p @ ( ap @ ( c_2Erelation_2Etotal @ A_27b ) @ ( ap @ ( ap @ ( c_2Erelation_2Einv__image @ A_27b @ A_27a ) @ V0R ) @ V1f ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2Ereflexive__inv__image,axiom,
% 5.44/5.68 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ! [V1f: $i] :
% 5.44/5.68 ( ( mem @ V1f @ ( arr @ A_27b @ A_27a ) )
% 5.44/5.68 => ( ( p @ ( ap @ ( c_2Erelation_2Ereflexive @ A_27a ) @ V0R ) )
% 5.44/5.68 => ( p @ ( ap @ ( c_2Erelation_2Ereflexive @ A_27b ) @ ( ap @ ( ap @ ( c_2Erelation_2Einv__image @ A_27b @ A_27a ) @ V0R ) @ V1f ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2Esymmetric__inv__image,axiom,
% 5.44/5.68 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ! [V1f: $i] :
% 5.44/5.68 ( ( mem @ V1f @ ( arr @ A_27b @ A_27a ) )
% 5.44/5.68 => ( ( p @ ( ap @ ( c_2Erelation_2Esymmetric @ A_27a ) @ V0R ) )
% 5.44/5.68 => ( p @ ( ap @ ( c_2Erelation_2Esymmetric @ A_27b ) @ ( ap @ ( ap @ ( c_2Erelation_2Einv__image @ A_27b @ A_27a ) @ V0R ) @ V1f ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2Etransitive__inv__image,axiom,
% 5.44/5.68 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ! [V1f: $i] :
% 5.44/5.68 ( ( mem @ V1f @ ( arr @ A_27b @ A_27a ) )
% 5.44/5.68 => ( ( p @ ( ap @ ( c_2Erelation_2Etransitive @ A_27a ) @ V0R ) )
% 5.44/5.68 => ( p @ ( ap @ ( c_2Erelation_2Etransitive @ A_27b ) @ ( ap @ ( ap @ ( c_2Erelation_2Einv__image @ A_27b @ A_27a ) @ V0R ) @ V1f ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(ax_thm_2Erelation_2ERESTRICT__DEF,axiom,
% 5.44/5.68 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.68 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.68 => ! [V1R: $i] :
% 5.44/5.68 ( ( mem @ V1R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ! [V2x: $i] :
% 5.44/5.68 ( ( mem @ V2x @ A_27a )
% 5.44/5.68 => ( ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ERESTRICT @ A_27a @ A_27b ) @ V0f ) @ V1R ) @ V2x )
% 5.44/5.68 = ( lam @ A_27a
% 5.44/5.68 @ ^ [V3y: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ A_27b ) @ ( ap @ ( ap @ V1R @ V3y ) @ V2x ) ) @ ( ap @ V0f @ V3y ) ) @ ( c_2Ebool_2EARB @ A_27b ) ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2ERESTRICT__LEMMA,axiom,
% 5.44/5.68 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.68 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.68 => ! [V1R: $i] :
% 5.44/5.68 ( ( mem @ V1R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ! [V2y: $i] :
% 5.44/5.68 ( ( mem @ V2y @ A_27a )
% 5.44/5.68 => ! [V3z: $i] :
% 5.44/5.68 ( ( mem @ V3z @ A_27a )
% 5.44/5.68 => ( ( p @ ( ap @ ( ap @ V1R @ V2y ) @ V3z ) )
% 5.44/5.68 => ( ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ERESTRICT @ A_27a @ A_27b ) @ V0f ) @ V1R ) @ V3z ) @ V2y )
% 5.44/5.68 = ( ap @ V0f @ V2y ) ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(ax_thm_2Erelation_2Eapprox__def,axiom,
% 5.44/5.68 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ! [V1M: $i] :
% 5.44/5.68 ( ( mem @ V1M @ ( arr @ ( arr @ A_27a @ A_27b ) @ ( arr @ A_27a @ A_27b ) ) )
% 5.44/5.68 => ! [V2x: $i] :
% 5.44/5.68 ( ( mem @ V2x @ A_27a )
% 5.44/5.68 => ! [V3f: $i] :
% 5.44/5.68 ( ( mem @ V3f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.68 => ( ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2Eapprox @ A_27a @ A_27b ) @ V0R ) @ V1M ) @ V2x ) @ V3f ) )
% 5.44/5.68 <=> ( V3f
% 5.44/5.68 = ( ap
% 5.44/5.68 @ ( ap
% 5.44/5.68 @ ( ap @ ( c_2Erelation_2ERESTRICT @ A_27a @ A_27b )
% 5.44/5.68 @ ( lam @ A_27a
% 5.44/5.68 @ ^ [V4y: $i] : ( ap @ ( ap @ V1M @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ERESTRICT @ A_27a @ A_27b ) @ V3f ) @ V0R ) @ V4y ) ) @ V4y ) ) )
% 5.44/5.68 @ V0R )
% 5.44/5.68 @ V2x ) ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(ax_thm_2Erelation_2Ethe__fun__def,axiom,
% 5.44/5.68 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ! [V1M: $i] :
% 5.44/5.68 ( ( mem @ V1M @ ( arr @ ( arr @ A_27a @ A_27b ) @ ( arr @ A_27a @ A_27b ) ) )
% 5.44/5.68 => ! [V2x: $i] :
% 5.44/5.68 ( ( mem @ V2x @ A_27a )
% 5.44/5.68 => ( ( ap @ ( ap @ ( ap @ ( c_2Erelation_2Ethe__fun @ A_27a @ A_27b ) @ V0R ) @ V1M ) @ V2x )
% 5.44/5.68 = ( ap @ ( c_2Emin_2E_40 @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.68 @ ( lam @ ( arr @ A_27a @ A_27b )
% 5.44/5.68 @ ^ [V3f: $i] : ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2Eapprox @ A_27a @ A_27b ) @ V0R ) @ V1M ) @ V2x ) @ V3f ) ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(ax_thm_2Erelation_2EWFREC__DEF,axiom,
% 5.44/5.68 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ! [V1M: $i] :
% 5.44/5.68 ( ( mem @ V1M @ ( arr @ ( arr @ A_27a @ A_27b ) @ ( arr @ A_27a @ A_27b ) ) )
% 5.44/5.68 => ( ( ap @ ( ap @ ( c_2Erelation_2EWFREC @ A_27a @ A_27b ) @ V0R ) @ V1M )
% 5.44/5.68 = ( lam @ A_27a
% 5.44/5.68 @ ^ [V2x: $i] :
% 5.44/5.68 ( ap
% 5.44/5.68 @ ( ap @ V1M
% 5.44/5.68 @ ( ap
% 5.44/5.68 @ ( ap
% 5.44/5.68 @ ( ap @ ( c_2Erelation_2ERESTRICT @ A_27a @ A_27b )
% 5.44/5.68 @ ( ap
% 5.44/5.68 @ ( ap @ ( ap @ ( c_2Erelation_2Ethe__fun @ A_27a @ A_27b ) @ ( ap @ ( c_2Erelation_2ETC @ A_27a ) @ V0R ) )
% 5.44/5.68 @ ( lam @ ( arr @ A_27a @ A_27b )
% 5.44/5.68 @ ^ [V3f: $i] :
% 5.44/5.68 ( lam @ A_27a
% 5.44/5.68 @ ^ [V4v: $i] : ( ap @ ( ap @ V1M @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ERESTRICT @ A_27a @ A_27b ) @ V3f ) @ V0R ) @ V4v ) ) @ V4v ) ) ) )
% 5.44/5.68 @ V2x ) )
% 5.44/5.68 @ V0R )
% 5.44/5.68 @ V2x ) )
% 5.44/5.68 @ V2x ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2EWFREC__THM,axiom,
% 5.44/5.68 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ! [V1M: $i] :
% 5.44/5.68 ( ( mem @ V1M @ ( arr @ ( arr @ A_27a @ A_27b ) @ ( arr @ A_27a @ A_27b ) ) )
% 5.44/5.68 => ( ( p @ ( ap @ ( c_2Erelation_2EWF @ A_27a ) @ V0R ) )
% 5.44/5.68 => ! [V2x: $i] :
% 5.44/5.68 ( ( mem @ V2x @ A_27a )
% 5.44/5.68 => ( ( ap @ ( ap @ ( ap @ ( c_2Erelation_2EWFREC @ A_27a @ A_27b ) @ V0R ) @ V1M ) @ V2x )
% 5.44/5.68 = ( ap @ ( ap @ V1M @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ERESTRICT @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Erelation_2EWFREC @ A_27a @ A_27b ) @ V0R ) @ V1M ) ) @ V0R ) @ V2x ) ) @ V2x ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2EWFREC__COROLLARY,axiom,
% 5.44/5.68 ! [A_27a: del,A_27b: del,V0M: $i] :
% 5.44/5.68 ( ( mem @ V0M @ ( arr @ ( arr @ A_27a @ A_27b ) @ ( arr @ A_27a @ A_27b ) ) )
% 5.44/5.68 => ! [V1R: $i] :
% 5.44/5.68 ( ( mem @ V1R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ! [V2f: $i] :
% 5.44/5.68 ( ( mem @ V2f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.68 => ( ( V2f
% 5.44/5.68 = ( ap @ ( ap @ ( c_2Erelation_2EWFREC @ A_27a @ A_27b ) @ V1R ) @ V0M ) )
% 5.44/5.68 => ( ( p @ ( ap @ ( c_2Erelation_2EWF @ A_27a ) @ V1R ) )
% 5.44/5.68 => ! [V3x: $i] :
% 5.44/5.68 ( ( mem @ V3x @ A_27a )
% 5.44/5.68 => ( ( ap @ V2f @ V3x )
% 5.44/5.68 = ( ap @ ( ap @ V0M @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ERESTRICT @ A_27a @ A_27b ) @ V2f ) @ V1R ) @ V3x ) ) @ V3x ) ) ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2EWF__RECURSION__THM,axiom,
% 5.44/5.68 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ( ( p @ ( ap @ ( c_2Erelation_2EWF @ A_27a ) @ V0R ) )
% 5.44/5.68 => ! [V1M: $i] :
% 5.44/5.68 ( ( mem @ V1M @ ( arr @ ( arr @ A_27a @ A_27b ) @ ( arr @ A_27a @ A_27b ) ) )
% 5.44/5.68 => ( p
% 5.44/5.68 @ ( ap @ ( c_2Ebool_2E_3F_21 @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.68 @ ( lam @ ( arr @ A_27a @ A_27b )
% 5.44/5.68 @ ^ [V2f: $i] :
% 5.44/5.68 ( ap @ ( c_2Ebool_2E_21 @ A_27a )
% 5.44/5.68 @ ( lam @ A_27a
% 5.44/5.68 @ ^ [V3x: $i] : ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27b ) @ ( ap @ V2f @ V3x ) ) @ ( ap @ ( ap @ V1M @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ERESTRICT @ A_27a @ A_27b ) @ V2f ) @ V0R ) @ V3x ) ) @ V3x ) ) ) ) ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(ax_thm_2Erelation_2EWFP__DEF,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ! [V1a: $i] :
% 5.44/5.68 ( ( mem @ V1a @ A_27a )
% 5.44/5.68 => ( ( p @ ( ap @ ( ap @ ( c_2Erelation_2EWFP @ A_27a ) @ V0R ) @ V1a ) )
% 5.44/5.68 <=> ! [V2P: $i] :
% 5.44/5.68 ( ( mem @ V2P @ ( arr @ A_27a @ bool ) )
% 5.44/5.68 => ( ! [V3x: $i] :
% 5.44/5.68 ( ( mem @ V3x @ A_27a )
% 5.44/5.68 => ( ! [V4y: $i] :
% 5.44/5.68 ( ( mem @ V4y @ A_27a )
% 5.44/5.68 => ( ( p @ ( ap @ ( ap @ V0R @ V4y ) @ V3x ) )
% 5.44/5.68 => ( p @ ( ap @ V2P @ V4y ) ) ) )
% 5.44/5.68 => ( p @ ( ap @ V2P @ V3x ) ) ) )
% 5.44/5.68 => ( p @ ( ap @ V2P @ V1a ) ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2EWFP__RULES,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ! [V1x: $i] :
% 5.44/5.68 ( ( mem @ V1x @ A_27a )
% 5.44/5.68 => ( ! [V2y: $i] :
% 5.44/5.68 ( ( mem @ V2y @ A_27a )
% 5.44/5.68 => ( ( p @ ( ap @ ( ap @ V0R @ V2y ) @ V1x ) )
% 5.44/5.68 => ( p @ ( ap @ ( ap @ ( c_2Erelation_2EWFP @ A_27a ) @ V0R ) @ V2y ) ) ) )
% 5.44/5.68 => ( p @ ( ap @ ( ap @ ( c_2Erelation_2EWFP @ A_27a ) @ V0R ) @ V1x ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2EWFP__INDUCT,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ! [V1P: $i] :
% 5.44/5.68 ( ( mem @ V1P @ ( arr @ A_27a @ bool ) )
% 5.44/5.68 => ( ! [V2x: $i] :
% 5.44/5.68 ( ( mem @ V2x @ A_27a )
% 5.44/5.68 => ( ! [V3y: $i] :
% 5.44/5.68 ( ( mem @ V3y @ A_27a )
% 5.44/5.68 => ( ( p @ ( ap @ ( ap @ V0R @ V3y ) @ V2x ) )
% 5.44/5.68 => ( p @ ( ap @ V1P @ V3y ) ) ) )
% 5.44/5.68 => ( p @ ( ap @ V1P @ V2x ) ) ) )
% 5.44/5.68 => ! [V4x: $i] :
% 5.44/5.68 ( ( mem @ V4x @ A_27a )
% 5.44/5.68 => ( ( p @ ( ap @ ( ap @ ( c_2Erelation_2EWFP @ A_27a ) @ V0R ) @ V4x ) )
% 5.44/5.68 => ( p @ ( ap @ V1P @ V4x ) ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2EWFP__CASES,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ! [V1x: $i] :
% 5.44/5.68 ( ( mem @ V1x @ A_27a )
% 5.44/5.68 => ( ( p @ ( ap @ ( ap @ ( c_2Erelation_2EWFP @ A_27a ) @ V0R ) @ V1x ) )
% 5.44/5.68 <=> ! [V2y: $i] :
% 5.44/5.68 ( ( mem @ V2y @ A_27a )
% 5.44/5.68 => ( ( p @ ( ap @ ( ap @ V0R @ V2y ) @ V1x ) )
% 5.44/5.68 => ( p @ ( ap @ ( ap @ ( c_2Erelation_2EWFP @ A_27a ) @ V0R ) @ V2y ) ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2EWFP__STRONG__INDUCT,axiom,
% 5.44/5.68 ! [A_27a: del,V0P: $i] :
% 5.44/5.68 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.44/5.68 => ! [V1R: $i] :
% 5.44/5.68 ( ( mem @ V1R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ( ! [V2x: $i] :
% 5.44/5.68 ( ( mem @ V2x @ A_27a )
% 5.44/5.68 => ( ( ( p @ ( ap @ ( ap @ ( c_2Erelation_2EWFP @ A_27a ) @ V1R ) @ V2x ) )
% 5.44/5.68 & ! [V3y: $i] :
% 5.44/5.68 ( ( mem @ V3y @ A_27a )
% 5.44/5.68 => ( ( p @ ( ap @ ( ap @ V1R @ V3y ) @ V2x ) )
% 5.44/5.68 => ( p @ ( ap @ V0P @ V3y ) ) ) ) )
% 5.44/5.68 => ( p @ ( ap @ V0P @ V2x ) ) ) )
% 5.44/5.68 => ! [V4x: $i] :
% 5.44/5.68 ( ( mem @ V4x @ A_27a )
% 5.44/5.68 => ( ( p @ ( ap @ ( ap @ ( c_2Erelation_2EWFP @ A_27a ) @ V1R ) @ V4x ) )
% 5.44/5.68 => ( p @ ( ap @ V0P @ V4x ) ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2EWF__EQ__WFP,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ( ( p @ ( ap @ ( c_2Erelation_2EWF @ A_27a ) @ V0R ) )
% 5.44/5.68 <=> ! [V1x: $i] :
% 5.44/5.68 ( ( mem @ V1x @ A_27a )
% 5.44/5.68 => ( p @ ( ap @ ( ap @ ( c_2Erelation_2EWFP @ A_27a ) @ V0R ) @ V1x ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(ax_thm_2Erelation_2EINDUCTIVE__INVARIANT__DEF,axiom,
% 5.44/5.68 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ! [V1P: $i] :
% 5.44/5.68 ( ( mem @ V1P @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.68 => ! [V2M: $i] :
% 5.44/5.68 ( ( mem @ V2M @ ( arr @ ( arr @ A_27a @ A_27b ) @ ( arr @ A_27a @ A_27b ) ) )
% 5.44/5.68 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2EINDUCTIVE__INVARIANT @ A_27a @ A_27b ) @ V0R ) @ V1P ) @ V2M ) )
% 5.44/5.68 <=> ! [V3f: $i] :
% 5.44/5.68 ( ( mem @ V3f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.68 => ! [V4x: $i] :
% 5.44/5.68 ( ( mem @ V4x @ A_27a )
% 5.44/5.68 => ( ! [V5y: $i] :
% 5.44/5.68 ( ( mem @ V5y @ A_27a )
% 5.44/5.68 => ( ( p @ ( ap @ ( ap @ V0R @ V5y ) @ V4x ) )
% 5.44/5.68 => ( p @ ( ap @ ( ap @ V1P @ V5y ) @ ( ap @ V3f @ V5y ) ) ) ) )
% 5.44/5.68 => ( p @ ( ap @ ( ap @ V1P @ V4x ) @ ( ap @ ( ap @ V2M @ V3f ) @ V4x ) ) ) ) ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(ax_thm_2Erelation_2EINDUCTIVE__INVARIANT__ON__DEF,axiom,
% 5.44/5.68 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ! [V1D: $i] :
% 5.44/5.68 ( ( mem @ V1D @ ( arr @ A_27a @ bool ) )
% 5.44/5.68 => ! [V2P: $i] :
% 5.44/5.68 ( ( mem @ V2P @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.68 => ! [V3M: $i] :
% 5.44/5.68 ( ( mem @ V3M @ ( arr @ ( arr @ A_27a @ A_27b ) @ ( arr @ A_27a @ A_27b ) ) )
% 5.44/5.68 => ( ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2EINDUCTIVE__INVARIANT__ON @ A_27a @ A_27b ) @ V0R ) @ V1D ) @ V2P ) @ V3M ) )
% 5.44/5.68 <=> ! [V4f: $i] :
% 5.44/5.68 ( ( mem @ V4f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.68 => ! [V5x: $i] :
% 5.44/5.68 ( ( mem @ V5x @ A_27a )
% 5.44/5.68 => ( ( ( p @ ( ap @ V1D @ V5x ) )
% 5.44/5.68 & ! [V6y: $i] :
% 5.44/5.68 ( ( mem @ V6y @ A_27a )
% 5.44/5.68 => ( ( p @ ( ap @ V1D @ V6y ) )
% 5.44/5.68 => ( ( p @ ( ap @ ( ap @ V0R @ V6y ) @ V5x ) )
% 5.44/5.68 => ( p @ ( ap @ ( ap @ V2P @ V6y ) @ ( ap @ V4f @ V6y ) ) ) ) ) ) )
% 5.44/5.68 => ( p @ ( ap @ ( ap @ V2P @ V5x ) @ ( ap @ ( ap @ V3M @ V4f ) @ V5x ) ) ) ) ) ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2EINDUCTIVE__INVARIANT__WFREC,axiom,
% 5.44/5.68 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ! [V1P: $i] :
% 5.44/5.68 ( ( mem @ V1P @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.68 => ! [V2M: $i] :
% 5.44/5.68 ( ( mem @ V2M @ ( arr @ ( arr @ A_27a @ A_27b ) @ ( arr @ A_27a @ A_27b ) ) )
% 5.44/5.68 => ( ( ( p @ ( ap @ ( c_2Erelation_2EWF @ A_27a ) @ V0R ) )
% 5.44/5.68 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2EINDUCTIVE__INVARIANT @ A_27a @ A_27b ) @ V0R ) @ V1P ) @ V2M ) ) )
% 5.44/5.68 => ! [V3x: $i] :
% 5.44/5.68 ( ( mem @ V3x @ A_27a )
% 5.44/5.68 => ( p @ ( ap @ ( ap @ V1P @ V3x ) @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2EWFREC @ A_27a @ A_27b ) @ V0R ) @ V2M ) @ V3x ) ) ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2ETFL__INDUCTIVE__INVARIANT__WFREC,axiom,
% 5.44/5.68 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.68 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.68 => ! [V1R: $i] :
% 5.44/5.68 ( ( mem @ V1R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ! [V2P: $i] :
% 5.44/5.68 ( ( mem @ V2P @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.68 => ! [V3M: $i] :
% 5.44/5.68 ( ( mem @ V3M @ ( arr @ ( arr @ A_27a @ A_27b ) @ ( arr @ A_27a @ A_27b ) ) )
% 5.44/5.68 => ! [V4x: $i] :
% 5.44/5.68 ( ( mem @ V4x @ A_27a )
% 5.44/5.68 => ( ( ( V0f
% 5.44/5.68 = ( ap @ ( ap @ ( c_2Erelation_2EWFREC @ A_27a @ A_27b ) @ V1R ) @ V3M ) )
% 5.44/5.68 & ( p @ ( ap @ ( c_2Erelation_2EWF @ A_27a ) @ V1R ) )
% 5.44/5.68 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2EINDUCTIVE__INVARIANT @ A_27a @ A_27b ) @ V1R ) @ V2P ) @ V3M ) ) )
% 5.44/5.68 => ( p @ ( ap @ ( ap @ V2P @ V4x ) @ ( ap @ V0f @ V4x ) ) ) ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2EINDUCTIVE__INVARIANT__ON__WFREC,axiom,
% 5.44/5.68 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ! [V1P: $i] :
% 5.44/5.68 ( ( mem @ V1P @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.68 => ! [V2M: $i] :
% 5.44/5.68 ( ( mem @ V2M @ ( arr @ ( arr @ A_27a @ A_27b ) @ ( arr @ A_27a @ A_27b ) ) )
% 5.44/5.68 => ! [V3D: $i] :
% 5.44/5.68 ( ( mem @ V3D @ ( arr @ A_27a @ bool ) )
% 5.44/5.68 => ! [V4x: $i] :
% 5.44/5.68 ( ( mem @ V4x @ A_27a )
% 5.44/5.68 => ( ( ( p @ ( ap @ ( c_2Erelation_2EWF @ A_27a ) @ V0R ) )
% 5.44/5.68 & ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2EINDUCTIVE__INVARIANT__ON @ A_27a @ A_27b ) @ V0R ) @ V3D ) @ V1P ) @ V2M ) )
% 5.44/5.68 & ( p @ ( ap @ V3D @ V4x ) ) )
% 5.44/5.68 => ( p @ ( ap @ ( ap @ V1P @ V4x ) @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2EWFREC @ A_27a @ A_27b ) @ V0R ) @ V2M ) @ V4x ) ) ) ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2ETFL__INDUCTIVE__INVARIANT__ON__WFREC,axiom,
% 5.44/5.68 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.68 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.68 => ! [V1R: $i] :
% 5.44/5.68 ( ( mem @ V1R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ! [V2D: $i] :
% 5.44/5.68 ( ( mem @ V2D @ ( arr @ A_27a @ bool ) )
% 5.44/5.68 => ! [V3P: $i] :
% 5.44/5.68 ( ( mem @ V3P @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.68 => ! [V4M: $i] :
% 5.44/5.68 ( ( mem @ V4M @ ( arr @ ( arr @ A_27a @ A_27b ) @ ( arr @ A_27a @ A_27b ) ) )
% 5.44/5.68 => ! [V5x: $i] :
% 5.44/5.68 ( ( mem @ V5x @ A_27a )
% 5.44/5.68 => ( ( ( V0f
% 5.44/5.68 = ( ap @ ( ap @ ( c_2Erelation_2EWFREC @ A_27a @ A_27b ) @ V1R ) @ V4M ) )
% 5.44/5.68 & ( p @ ( ap @ ( c_2Erelation_2EWF @ A_27a ) @ V1R ) )
% 5.44/5.68 & ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2EINDUCTIVE__INVARIANT__ON @ A_27a @ A_27b ) @ V1R ) @ V2D ) @ V3P ) @ V4M ) )
% 5.44/5.68 & ( p @ ( ap @ V2D @ V5x ) ) )
% 5.44/5.68 => ( p @ ( ap @ ( ap @ V3P @ V5x ) @ ( ap @ V0f @ V5x ) ) ) ) ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(ax_thm_2Erelation_2Einv__DEF,axiom,
% 5.44/5.68 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.68 => ! [V1x: $i] :
% 5.44/5.68 ( ( mem @ V1x @ A_27b )
% 5.44/5.68 => ! [V2y: $i] :
% 5.44/5.68 ( ( mem @ V2y @ A_27a )
% 5.44/5.68 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2Einv @ A_27a @ A_27b ) @ V0R ) @ V1x ) @ V2y ) )
% 5.44/5.68 <=> ( p @ ( ap @ ( ap @ V0R @ V2y ) @ V1x ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2Einv__inv,axiom,
% 5.44/5.68 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.68 => ( ( ap @ ( c_2Erelation_2Einv @ A_27b @ A_27a ) @ ( ap @ ( c_2Erelation_2Einv @ A_27a @ A_27b ) @ V0R ) )
% 5.44/5.68 = V0R ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2Einv__RC,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ( ( ap @ ( c_2Erelation_2Einv @ A_27a @ A_27a ) @ ( ap @ ( c_2Erelation_2ERC @ A_27a ) @ V0R ) )
% 5.44/5.68 = ( ap @ ( c_2Erelation_2ERC @ A_27a ) @ ( ap @ ( c_2Erelation_2Einv @ A_27a @ A_27a ) @ V0R ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2Einv__SC,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ( ( ( ap @ ( c_2Erelation_2Einv @ A_27a @ A_27a ) @ ( ap @ ( c_2Erelation_2ESC @ A_27a ) @ V0R ) )
% 5.44/5.68 = ( ap @ ( c_2Erelation_2ESC @ A_27a ) @ V0R ) )
% 5.44/5.68 & ( ( ap @ ( c_2Erelation_2ESC @ A_27a ) @ ( ap @ ( c_2Erelation_2Einv @ A_27a @ A_27a ) @ V0R ) )
% 5.44/5.68 = ( ap @ ( c_2Erelation_2ESC @ A_27a ) @ V0R ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2Einv__TC,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ( ( ap @ ( c_2Erelation_2Einv @ A_27a @ A_27a ) @ ( ap @ ( c_2Erelation_2ETC @ A_27a ) @ V0R ) )
% 5.44/5.68 = ( ap @ ( c_2Erelation_2ETC @ A_27a ) @ ( ap @ ( c_2Erelation_2Einv @ A_27a @ A_27a ) @ V0R ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2Einv__EQC,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ( ( ( ap @ ( c_2Erelation_2Einv @ A_27a @ A_27a ) @ ( ap @ ( c_2Erelation_2EEQC @ A_27a ) @ V0R ) )
% 5.44/5.68 = ( ap @ ( c_2Erelation_2EEQC @ A_27a ) @ V0R ) )
% 5.44/5.68 & ( ( ap @ ( c_2Erelation_2EEQC @ A_27a ) @ ( ap @ ( c_2Erelation_2Einv @ A_27a @ A_27a ) @ V0R ) )
% 5.44/5.68 = ( ap @ ( c_2Erelation_2EEQC @ A_27a ) @ V0R ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2Einv__MOVES__OUT,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ( ( ( ap @ ( c_2Erelation_2Einv @ A_27a @ A_27a ) @ ( ap @ ( c_2Erelation_2Einv @ A_27a @ A_27a ) @ V0R ) )
% 5.44/5.68 = V0R )
% 5.44/5.68 & ( ( ap @ ( c_2Erelation_2ESC @ A_27a ) @ ( ap @ ( c_2Erelation_2Einv @ A_27a @ A_27a ) @ V0R ) )
% 5.44/5.68 = ( ap @ ( c_2Erelation_2ESC @ A_27a ) @ V0R ) )
% 5.44/5.68 & ( ( ap @ ( c_2Erelation_2ERC @ A_27a ) @ ( ap @ ( c_2Erelation_2Einv @ A_27a @ A_27a ) @ V0R ) )
% 5.44/5.68 = ( ap @ ( c_2Erelation_2Einv @ A_27a @ A_27a ) @ ( ap @ ( c_2Erelation_2ERC @ A_27a ) @ V0R ) ) )
% 5.44/5.68 & ( ( ap @ ( c_2Erelation_2ETC @ A_27a ) @ ( ap @ ( c_2Erelation_2Einv @ A_27a @ A_27a ) @ V0R ) )
% 5.44/5.68 = ( ap @ ( c_2Erelation_2Einv @ A_27a @ A_27a ) @ ( ap @ ( c_2Erelation_2ETC @ A_27a ) @ V0R ) ) )
% 5.44/5.68 & ( ( ap @ ( c_2Erelation_2ERTC @ A_27a ) @ ( ap @ ( c_2Erelation_2Einv @ A_27a @ A_27a ) @ V0R ) )
% 5.44/5.68 = ( ap @ ( c_2Erelation_2Einv @ A_27a @ A_27a ) @ ( ap @ ( c_2Erelation_2ERTC @ A_27a ) @ V0R ) ) )
% 5.44/5.68 & ( ( ap @ ( c_2Erelation_2EEQC @ A_27a ) @ ( ap @ ( c_2Erelation_2Einv @ A_27a @ A_27a ) @ V0R ) )
% 5.44/5.68 = ( ap @ ( c_2Erelation_2EEQC @ A_27a ) @ V0R ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2Ereflexive__inv,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ( ( p @ ( ap @ ( c_2Erelation_2Ereflexive @ A_27a ) @ ( ap @ ( c_2Erelation_2Einv @ A_27a @ A_27a ) @ V0R ) ) )
% 5.44/5.68 <=> ( p @ ( ap @ ( c_2Erelation_2Ereflexive @ A_27a ) @ V0R ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2Eirreflexive__inv,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ( ( p @ ( ap @ ( c_2Erelation_2Eirreflexive @ A_27a ) @ ( ap @ ( c_2Erelation_2Einv @ A_27a @ A_27a ) @ V0R ) ) )
% 5.44/5.68 <=> ( p @ ( ap @ ( c_2Erelation_2Eirreflexive @ A_27a ) @ V0R ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2Esymmetric__inv,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ( ( p @ ( ap @ ( c_2Erelation_2Esymmetric @ A_27a ) @ ( ap @ ( c_2Erelation_2Einv @ A_27a @ A_27a ) @ V0R ) ) )
% 5.44/5.68 <=> ( p @ ( ap @ ( c_2Erelation_2Esymmetric @ A_27a ) @ V0R ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2Eantisymmetric__inv,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ( ( p @ ( ap @ ( c_2Erelation_2Eantisymmetric @ A_27a ) @ ( ap @ ( c_2Erelation_2Einv @ A_27a @ A_27a ) @ V0R ) ) )
% 5.44/5.68 <=> ( p @ ( ap @ ( c_2Erelation_2Eantisymmetric @ A_27a ) @ V0R ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2Etransitive__inv,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ( ( p @ ( ap @ ( c_2Erelation_2Etransitive @ A_27a ) @ ( ap @ ( c_2Erelation_2Einv @ A_27a @ A_27a ) @ V0R ) ) )
% 5.44/5.68 <=> ( p @ ( ap @ ( c_2Erelation_2Etransitive @ A_27a ) @ V0R ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2Esymmetric__inv__identity,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ( ( p @ ( ap @ ( c_2Erelation_2Esymmetric @ A_27a ) @ V0R ) )
% 5.44/5.68 => ( ( ap @ ( c_2Erelation_2Einv @ A_27a @ A_27a ) @ V0R )
% 5.44/5.68 = V0R ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2Eequivalence__inv__identity,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ( ( p @ ( ap @ ( c_2Erelation_2Eequivalence @ A_27a ) @ V0R ) )
% 5.44/5.68 => ( ( ap @ ( c_2Erelation_2Einv @ A_27a @ A_27a ) @ V0R )
% 5.44/5.68 = V0R ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(ax_thm_2Erelation_2EINVOL__DEF,axiom,
% 5.44/5.68 ! [A_27z: del,V0f: $i] :
% 5.44/5.68 ( ( mem @ V0f @ ( arr @ A_27z @ A_27z ) )
% 5.44/5.68 => ( ( p @ ( ap @ ( c_2Erelation_2EINVOL @ A_27z ) @ V0f ) )
% 5.44/5.68 <=> ( ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27z @ A_27z @ A_27z ) @ V0f ) @ V0f )
% 5.44/5.68 = ( c_2Ecombin_2EI @ A_27z ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2EINVOL,axiom,
% 5.44/5.68 ! [A_27z: del,V0f: $i] :
% 5.44/5.68 ( ( mem @ V0f @ ( arr @ A_27z @ A_27z ) )
% 5.44/5.68 => ( ( p @ ( ap @ ( c_2Erelation_2EINVOL @ A_27z ) @ V0f ) )
% 5.44/5.68 <=> ! [V1x: $i] :
% 5.44/5.68 ( ( mem @ V1x @ A_27z )
% 5.44/5.68 => ( ( ap @ V0f @ ( ap @ V0f @ V1x ) )
% 5.44/5.68 = V1x ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2EINVOL__ONE__ONE,axiom,
% 5.44/5.68 ! [A_27z: del,V0f: $i] :
% 5.44/5.68 ( ( mem @ V0f @ ( arr @ A_27z @ A_27z ) )
% 5.44/5.68 => ( ( p @ ( ap @ ( c_2Erelation_2EINVOL @ A_27z ) @ V0f ) )
% 5.44/5.68 => ! [V1a: $i] :
% 5.44/5.68 ( ( mem @ V1a @ A_27z )
% 5.44/5.68 => ! [V2b: $i] :
% 5.44/5.68 ( ( mem @ V2b @ A_27z )
% 5.44/5.68 => ( ( ( ap @ V0f @ V1a )
% 5.44/5.68 = ( ap @ V0f @ V2b ) )
% 5.44/5.68 <=> ( V1a = V2b ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2EINVOL__ONE__ENO,axiom,
% 5.44/5.68 ! [A_27z: del,V0f: $i] :
% 5.44/5.68 ( ( mem @ V0f @ ( arr @ A_27z @ A_27z ) )
% 5.44/5.68 => ( ( p @ ( ap @ ( c_2Erelation_2EINVOL @ A_27z ) @ V0f ) )
% 5.44/5.68 => ! [V1a: $i] :
% 5.44/5.68 ( ( mem @ V1a @ A_27z )
% 5.44/5.68 => ! [V2b: $i] :
% 5.44/5.68 ( ( mem @ V2b @ A_27z )
% 5.44/5.68 => ( ( ( ap @ V0f @ V1a )
% 5.44/5.68 = V2b )
% 5.44/5.68 <=> ( V1a
% 5.44/5.68 = ( ap @ V0f @ V2b ) ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2ENOT__INVOL,axiom,
% 5.44/5.68 p @ ( ap @ ( c_2Erelation_2EINVOL @ bool ) @ c_2Ebool_2E_7E ) ).
% 5.44/5.68
% 5.44/5.68 thf(ax_thm_2Erelation_2EIDEM__DEF,axiom,
% 5.44/5.68 ! [A_27z: del,V0f: $i] :
% 5.44/5.68 ( ( mem @ V0f @ ( arr @ A_27z @ A_27z ) )
% 5.44/5.68 => ( ( p @ ( ap @ ( c_2Erelation_2EIDEM @ A_27z ) @ V0f ) )
% 5.44/5.68 <=> ( ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27z @ A_27z @ A_27z ) @ V0f ) @ V0f )
% 5.44/5.68 = V0f ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2EIDEM,axiom,
% 5.44/5.68 ! [A_27z: del,V0f: $i] :
% 5.44/5.68 ( ( mem @ V0f @ ( arr @ A_27z @ A_27z ) )
% 5.44/5.68 => ( ( p @ ( ap @ ( c_2Erelation_2EIDEM @ A_27z ) @ V0f ) )
% 5.44/5.68 <=> ! [V1x: $i] :
% 5.44/5.68 ( ( mem @ V1x @ A_27z )
% 5.44/5.68 => ( ( ap @ V0f @ ( ap @ V0f @ V1x ) )
% 5.44/5.68 = ( ap @ V0f @ V1x ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2Einv__INVOL,axiom,
% 5.44/5.68 ! [A_27a: del] : ( p @ ( ap @ ( c_2Erelation_2EINVOL @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) ) @ ( c_2Erelation_2Einv @ A_27a @ A_27a ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(ax_thm_2Erelation_2EO__DEF,axiom,
% 5.44/5.68 ! [A_27g: del,A_27h: del,A_27k: del,V0R1: $i] :
% 5.44/5.68 ( ( mem @ V0R1 @ ( arr @ A_27h @ ( arr @ A_27k @ bool ) ) )
% 5.44/5.68 => ! [V1R2: $i] :
% 5.44/5.68 ( ( mem @ V1R2 @ ( arr @ A_27g @ ( arr @ A_27h @ bool ) ) )
% 5.44/5.68 => ! [V2x: $i] :
% 5.44/5.68 ( ( mem @ V2x @ A_27g )
% 5.44/5.68 => ! [V3z: $i] :
% 5.44/5.68 ( ( mem @ V3z @ A_27k )
% 5.44/5.68 => ( ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2EO @ A_27g @ A_27h @ A_27k ) @ V0R1 ) @ V1R2 ) @ V2x ) @ V3z ) )
% 5.44/5.68 <=> ? [V4y: $i] :
% 5.44/5.68 ( ( mem @ V4y @ A_27h )
% 5.44/5.68 & ( p @ ( ap @ ( ap @ V1R2 @ V2x ) @ V4y ) )
% 5.44/5.68 & ( p @ ( ap @ ( ap @ V0R1 @ V4y ) @ V3z ) ) ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2Einv__O,axiom,
% 5.44/5.68 ! [A_27a: del,A_27b: del,A_27c: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.68 => ! [V1R_27: $i] :
% 5.44/5.68 ( ( mem @ V1R_27 @ ( arr @ A_27c @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ( ( ap @ ( c_2Erelation_2Einv @ A_27c @ A_27b ) @ ( ap @ ( ap @ ( c_2Erelation_2EO @ A_27c @ A_27a @ A_27b ) @ V0R ) @ V1R_27 ) )
% 5.44/5.68 = ( ap @ ( ap @ ( c_2Erelation_2EO @ A_27b @ A_27a @ A_27c ) @ ( ap @ ( c_2Erelation_2Einv @ A_27c @ A_27a ) @ V1R_27 ) ) @ ( ap @ ( c_2Erelation_2Einv @ A_27a @ A_27b ) @ V0R ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(ax_thm_2Erelation_2ERSUBSET,axiom,
% 5.44/5.68 ! [A_27a: del,A_27b: del,V0R1: $i] :
% 5.44/5.68 ( ( mem @ V0R1 @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.68 => ! [V1R2: $i] :
% 5.44/5.68 ( ( mem @ V1R2 @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.68 => ( ( p @ ( ap @ ( ap @ ( c_2Erelation_2ERSUBSET @ A_27a @ A_27b ) @ V0R1 ) @ V1R2 ) )
% 5.44/5.68 <=> ! [V2x: $i] :
% 5.44/5.68 ( ( mem @ V2x @ A_27a )
% 5.44/5.68 => ! [V3y: $i] :
% 5.44/5.68 ( ( mem @ V3y @ A_27b )
% 5.44/5.68 => ( ( p @ ( ap @ ( ap @ V0R1 @ V2x ) @ V3y ) )
% 5.44/5.68 => ( p @ ( ap @ ( ap @ V1R2 @ V2x ) @ V3y ) ) ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2Eirreflexive__RSUBSET,axiom,
% 5.44/5.68 ! [A_27a: del,V0R1: $i] :
% 5.44/5.68 ( ( mem @ V0R1 @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ! [V1R2: $i] :
% 5.44/5.68 ( ( mem @ V1R2 @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ( ( ( p @ ( ap @ ( c_2Erelation_2Eirreflexive @ A_27a ) @ V1R2 ) )
% 5.44/5.68 & ( p @ ( ap @ ( ap @ ( c_2Erelation_2ERSUBSET @ A_27a @ A_27a ) @ V0R1 ) @ V1R2 ) ) )
% 5.44/5.68 => ( p @ ( ap @ ( c_2Erelation_2Eirreflexive @ A_27a ) @ V0R1 ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(ax_thm_2Erelation_2ERUNION,axiom,
% 5.44/5.68 ! [A_27a: del,A_27b: del,V0R1: $i] :
% 5.44/5.68 ( ( mem @ V0R1 @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.68 => ! [V1R2: $i] :
% 5.44/5.68 ( ( mem @ V1R2 @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.68 => ! [V2x: $i] :
% 5.44/5.68 ( ( mem @ V2x @ A_27a )
% 5.44/5.68 => ! [V3y: $i] :
% 5.44/5.68 ( ( mem @ V3y @ A_27b )
% 5.44/5.68 => ( ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ERUNION @ A_27a @ A_27b ) @ V0R1 ) @ V1R2 ) @ V2x ) @ V3y ) )
% 5.44/5.68 <=> ( ( p @ ( ap @ ( ap @ V0R1 @ V2x ) @ V3y ) )
% 5.44/5.68 | ( p @ ( ap @ ( ap @ V1R2 @ V2x ) @ V3y ) ) ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2ERUNION__COMM,axiom,
% 5.44/5.68 ! [A_27a: del,A_27b: del,V0R1: $i] :
% 5.44/5.68 ( ( mem @ V0R1 @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.68 => ! [V1R2: $i] :
% 5.44/5.68 ( ( mem @ V1R2 @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.68 => ( ( ap @ ( ap @ ( c_2Erelation_2ERUNION @ A_27a @ A_27b ) @ V0R1 ) @ V1R2 )
% 5.44/5.68 = ( ap @ ( ap @ ( c_2Erelation_2ERUNION @ A_27a @ A_27b ) @ V1R2 ) @ V0R1 ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2ERUNION__ASSOC,axiom,
% 5.44/5.68 ! [A_27a: del,A_27b: del,V0R1: $i] :
% 5.44/5.68 ( ( mem @ V0R1 @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.68 => ! [V1R2: $i] :
% 5.44/5.68 ( ( mem @ V1R2 @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.68 => ! [V2R3: $i] :
% 5.44/5.68 ( ( mem @ V2R3 @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.68 => ( ( ap @ ( ap @ ( c_2Erelation_2ERUNION @ A_27a @ A_27b ) @ V0R1 ) @ ( ap @ ( ap @ ( c_2Erelation_2ERUNION @ A_27a @ A_27b ) @ V1R2 ) @ V2R3 ) )
% 5.44/5.68 = ( ap @ ( ap @ ( c_2Erelation_2ERUNION @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Erelation_2ERUNION @ A_27a @ A_27b ) @ V0R1 ) @ V1R2 ) ) @ V2R3 ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(ax_thm_2Erelation_2ERINTER,axiom,
% 5.44/5.68 ! [A_27a: del,A_27b: del,V0R1: $i] :
% 5.44/5.68 ( ( mem @ V0R1 @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.68 => ! [V1R2: $i] :
% 5.44/5.68 ( ( mem @ V1R2 @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.68 => ! [V2x: $i] :
% 5.44/5.68 ( ( mem @ V2x @ A_27a )
% 5.44/5.68 => ! [V3y: $i] :
% 5.44/5.68 ( ( mem @ V3y @ A_27b )
% 5.44/5.68 => ( ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ERINTER @ A_27a @ A_27b ) @ V0R1 ) @ V1R2 ) @ V2x ) @ V3y ) )
% 5.44/5.68 <=> ( ( p @ ( ap @ ( ap @ V0R1 @ V2x ) @ V3y ) )
% 5.44/5.68 & ( p @ ( ap @ ( ap @ V1R2 @ V2x ) @ V3y ) ) ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2ERINTER__COMM,axiom,
% 5.44/5.68 ! [A_27a: del,A_27b: del,V0R1: $i] :
% 5.44/5.68 ( ( mem @ V0R1 @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.68 => ! [V1R2: $i] :
% 5.44/5.68 ( ( mem @ V1R2 @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.68 => ( ( ap @ ( ap @ ( c_2Erelation_2ERINTER @ A_27a @ A_27b ) @ V0R1 ) @ V1R2 )
% 5.44/5.68 = ( ap @ ( ap @ ( c_2Erelation_2ERINTER @ A_27a @ A_27b ) @ V1R2 ) @ V0R1 ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2ERINTER__ASSOC,axiom,
% 5.44/5.68 ! [A_27a: del,A_27b: del,V0R1: $i] :
% 5.44/5.68 ( ( mem @ V0R1 @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.68 => ! [V1R2: $i] :
% 5.44/5.68 ( ( mem @ V1R2 @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.68 => ! [V2R3: $i] :
% 5.44/5.68 ( ( mem @ V2R3 @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.68 => ( ( ap @ ( ap @ ( c_2Erelation_2ERINTER @ A_27a @ A_27b ) @ V0R1 ) @ ( ap @ ( ap @ ( c_2Erelation_2ERINTER @ A_27a @ A_27b ) @ V1R2 ) @ V2R3 ) )
% 5.44/5.68 = ( ap @ ( ap @ ( c_2Erelation_2ERINTER @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Erelation_2ERINTER @ A_27a @ A_27b ) @ V0R1 ) @ V1R2 ) ) @ V2R3 ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2Eantisymmetric__RINTER,axiom,
% 5.44/5.68 ! [A_27a: del,V0R1: $i] :
% 5.44/5.68 ( ( mem @ V0R1 @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ! [V1R2: $i] :
% 5.44/5.68 ( ( mem @ V1R2 @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ( ( ( p @ ( ap @ ( c_2Erelation_2Eantisymmetric @ A_27a ) @ V0R1 ) )
% 5.44/5.68 => ( p @ ( ap @ ( c_2Erelation_2Eantisymmetric @ A_27a ) @ ( ap @ ( ap @ ( c_2Erelation_2ERINTER @ A_27a @ A_27a ) @ V0R1 ) @ V1R2 ) ) ) )
% 5.44/5.68 & ( ( p @ ( ap @ ( c_2Erelation_2Eantisymmetric @ A_27a ) @ V1R2 ) )
% 5.44/5.68 => ( p @ ( ap @ ( c_2Erelation_2Eantisymmetric @ A_27a ) @ ( ap @ ( ap @ ( c_2Erelation_2ERINTER @ A_27a @ A_27a ) @ V0R1 ) @ V1R2 ) ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2Etransitive__RINTER,axiom,
% 5.44/5.68 ! [A_27a: del,V0R1: $i] :
% 5.44/5.68 ( ( mem @ V0R1 @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ! [V1R2: $i] :
% 5.44/5.68 ( ( mem @ V1R2 @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ( ( ( p @ ( ap @ ( c_2Erelation_2Etransitive @ A_27a ) @ V0R1 ) )
% 5.44/5.68 & ( p @ ( ap @ ( c_2Erelation_2Etransitive @ A_27a ) @ V1R2 ) ) )
% 5.44/5.68 => ( p @ ( ap @ ( c_2Erelation_2Etransitive @ A_27a ) @ ( ap @ ( ap @ ( c_2Erelation_2ERINTER @ A_27a @ A_27a ) @ V0R1 ) @ V1R2 ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(ax_thm_2Erelation_2ERCOMPL,axiom,
% 5.44/5.68 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.68 => ! [V1x: $i] :
% 5.44/5.68 ( ( mem @ V1x @ A_27a )
% 5.44/5.68 => ! [V2y: $i] :
% 5.44/5.68 ( ( mem @ V2y @ A_27b )
% 5.44/5.68 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ERCOMPL @ A_27a @ A_27b ) @ V0R ) @ V1x ) @ V2y ) )
% 5.44/5.68 <=> ~ ( p @ ( ap @ ( ap @ V0R @ V1x ) @ V2y ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2Ereflexive__Id__RSUBSET,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ( ( p @ ( ap @ ( c_2Erelation_2Ereflexive @ A_27a ) @ V0R ) )
% 5.44/5.68 <=> ( p @ ( ap @ ( ap @ ( c_2Erelation_2ERSUBSET @ A_27a @ A_27a ) @ ( c_2Emin_2E_3D @ A_27a ) ) @ V0R ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2Esymmetric__inv__RSUBSET,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ( ( p @ ( ap @ ( c_2Erelation_2Esymmetric @ A_27a ) @ V0R ) )
% 5.44/5.68 <=> ( p @ ( ap @ ( ap @ ( c_2Erelation_2ERSUBSET @ A_27a @ A_27a ) @ ( ap @ ( c_2Erelation_2Einv @ A_27a @ A_27a ) @ V0R ) ) @ V0R ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2Etransitive__O__RSUBSET,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ( ( p @ ( ap @ ( c_2Erelation_2Etransitive @ A_27a ) @ V0R ) )
% 5.44/5.68 <=> ( p @ ( ap @ ( ap @ ( c_2Erelation_2ERSUBSET @ A_27a @ A_27a ) @ ( ap @ ( ap @ ( c_2Erelation_2EO @ A_27a @ A_27a @ A_27a ) @ V0R ) @ V0R ) ) @ V0R ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(ax_thm_2Erelation_2EPreOrder,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ( ( p @ ( ap @ ( c_2Erelation_2EPreOrder @ A_27a ) @ V0R ) )
% 5.44/5.68 <=> ( ( p @ ( ap @ ( c_2Erelation_2Ereflexive @ A_27a ) @ V0R ) )
% 5.44/5.68 & ( p @ ( ap @ ( c_2Erelation_2Etransitive @ A_27a ) @ V0R ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(ax_thm_2Erelation_2EOrder,axiom,
% 5.44/5.68 ! [A_27g: del,V0Z: $i] :
% 5.44/5.68 ( ( mem @ V0Z @ ( arr @ A_27g @ ( arr @ A_27g @ bool ) ) )
% 5.44/5.68 => ( ( p @ ( ap @ ( c_2Erelation_2EOrder @ A_27g ) @ V0Z ) )
% 5.44/5.68 <=> ( ( p @ ( ap @ ( c_2Erelation_2Eantisymmetric @ A_27g ) @ V0Z ) )
% 5.44/5.68 & ( p @ ( ap @ ( c_2Erelation_2Etransitive @ A_27g ) @ V0Z ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(ax_thm_2Erelation_2EWeakOrder,axiom,
% 5.44/5.68 ! [A_27g: del,V0Z: $i] :
% 5.44/5.68 ( ( mem @ V0Z @ ( arr @ A_27g @ ( arr @ A_27g @ bool ) ) )
% 5.44/5.68 => ( ( p @ ( ap @ ( c_2Erelation_2EWeakOrder @ A_27g ) @ V0Z ) )
% 5.44/5.68 <=> ( ( p @ ( ap @ ( c_2Erelation_2Ereflexive @ A_27g ) @ V0Z ) )
% 5.44/5.68 & ( p @ ( ap @ ( c_2Erelation_2Eantisymmetric @ A_27g ) @ V0Z ) )
% 5.44/5.68 & ( p @ ( ap @ ( c_2Erelation_2Etransitive @ A_27g ) @ V0Z ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(ax_thm_2Erelation_2EStrongOrder,axiom,
% 5.44/5.68 ! [A_27g: del,V0Z: $i] :
% 5.44/5.68 ( ( mem @ V0Z @ ( arr @ A_27g @ ( arr @ A_27g @ bool ) ) )
% 5.44/5.68 => ( ( p @ ( ap @ ( c_2Erelation_2EStrongOrder @ A_27g ) @ V0Z ) )
% 5.44/5.68 <=> ( ( p @ ( ap @ ( c_2Erelation_2Eirreflexive @ A_27g ) @ V0Z ) )
% 5.44/5.68 & ( p @ ( ap @ ( c_2Erelation_2Etransitive @ A_27g ) @ V0Z ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2Eirrefl__trans__implies__antisym,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ( ( ( p @ ( ap @ ( c_2Erelation_2Eirreflexive @ A_27a ) @ V0R ) )
% 5.44/5.68 & ( p @ ( ap @ ( c_2Erelation_2Etransitive @ A_27a ) @ V0R ) ) )
% 5.44/5.68 => ( p @ ( ap @ ( c_2Erelation_2Eantisymmetric @ A_27a ) @ V0R ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2EStrongOrd__Ord,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ( ( p @ ( ap @ ( c_2Erelation_2EStrongOrder @ A_27a ) @ V0R ) )
% 5.44/5.68 => ( p @ ( ap @ ( c_2Erelation_2EOrder @ A_27a ) @ V0R ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2EWeakOrd__Ord,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ( ( p @ ( ap @ ( c_2Erelation_2EWeakOrder @ A_27a ) @ V0R ) )
% 5.44/5.68 => ( p @ ( ap @ ( c_2Erelation_2EOrder @ A_27a ) @ V0R ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2EWeakOrder__EQ,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ( ( p @ ( ap @ ( c_2Erelation_2EWeakOrder @ A_27a ) @ V0R ) )
% 5.44/5.68 => ! [V1y: $i] :
% 5.44/5.68 ( ( mem @ V1y @ A_27a )
% 5.44/5.68 => ! [V2z: $i] :
% 5.44/5.68 ( ( mem @ V2z @ A_27a )
% 5.44/5.68 => ( ( V1y = V2z )
% 5.44/5.68 <=> ( ( p @ ( ap @ ( ap @ V0R @ V1y ) @ V2z ) )
% 5.44/5.68 & ( p @ ( ap @ ( ap @ V0R @ V2z ) @ V1y ) ) ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2ERSUBSET__ANTISYM,axiom,
% 5.44/5.68 ! [A_27a: del,A_27b: del,V0R1: $i] :
% 5.44/5.68 ( ( mem @ V0R1 @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.68 => ! [V1R2: $i] :
% 5.44/5.68 ( ( mem @ V1R2 @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.68 => ( ( ( p @ ( ap @ ( ap @ ( c_2Erelation_2ERSUBSET @ A_27a @ A_27b ) @ V0R1 ) @ V1R2 ) )
% 5.44/5.68 & ( p @ ( ap @ ( ap @ ( c_2Erelation_2ERSUBSET @ A_27a @ A_27b ) @ V1R2 ) @ V0R1 ) ) )
% 5.44/5.68 => ( V0R1 = V1R2 ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2ERSUBSET__antisymmetric,axiom,
% 5.44/5.68 ! [A_27a: del,A_27b: del] : ( p @ ( ap @ ( c_2Erelation_2Eantisymmetric @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) ) @ ( c_2Erelation_2ERSUBSET @ A_27a @ A_27b ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2ERSUBSET__WeakOrder,axiom,
% 5.44/5.68 ! [A_27a: del,A_27b: del] : ( p @ ( ap @ ( c_2Erelation_2EWeakOrder @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) ) @ ( c_2Erelation_2ERSUBSET @ A_27a @ A_27b ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2EEqIsBothRSUBSET,axiom,
% 5.44/5.68 ! [A_27a: del,A_27b: del,V0y: $i] :
% 5.44/5.68 ( ( mem @ V0y @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.68 => ! [V1z: $i] :
% 5.44/5.68 ( ( mem @ V1z @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.68 => ( ( V0y = V1z )
% 5.44/5.68 <=> ( ( p @ ( ap @ ( ap @ ( c_2Erelation_2ERSUBSET @ A_27a @ A_27b ) @ V0y ) @ V1z ) )
% 5.44/5.68 & ( p @ ( ap @ ( ap @ ( c_2Erelation_2ERSUBSET @ A_27a @ A_27b ) @ V1z ) @ V0y ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(ax_thm_2Erelation_2ESTRORD,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ! [V1a: $i] :
% 5.44/5.68 ( ( mem @ V1a @ A_27a )
% 5.44/5.68 => ! [V2b: $i] :
% 5.44/5.68 ( ( mem @ V2b @ A_27a )
% 5.44/5.68 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ESTRORD @ A_27a ) @ V0R ) @ V1a ) @ V2b ) )
% 5.44/5.68 <=> ( ( p @ ( ap @ ( ap @ V0R @ V1a ) @ V2b ) )
% 5.44/5.68 & ( V1a != V2b ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2ESTRORD__AND__NOT__Id,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ( ( ap @ ( c_2Erelation_2ESTRORD @ A_27a ) @ V0R )
% 5.44/5.68 = ( ap @ ( ap @ ( c_2Erelation_2ERINTER @ A_27a @ A_27a ) @ V0R ) @ ( ap @ ( c_2Erelation_2ERCOMPL @ A_27a @ A_27a ) @ ( c_2Emin_2E_3D @ A_27a ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2ERC__OR__Id,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ( ( ap @ ( c_2Erelation_2ERC @ A_27a ) @ V0R )
% 5.44/5.68 = ( ap @ ( ap @ ( c_2Erelation_2ERUNION @ A_27a @ A_27a ) @ V0R ) @ ( c_2Emin_2E_3D @ A_27a ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2ERC__Weak,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ( ( p @ ( ap @ ( c_2Erelation_2EOrder @ A_27a ) @ V0R ) )
% 5.44/5.68 <=> ( p @ ( ap @ ( c_2Erelation_2EWeakOrder @ A_27a ) @ ( ap @ ( c_2Erelation_2ERC @ A_27a ) @ V0R ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2ESTRORD__Strong,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ( ( p @ ( ap @ ( c_2Erelation_2EOrder @ A_27a ) @ V0R ) )
% 5.44/5.68 <=> ( p @ ( ap @ ( c_2Erelation_2EStrongOrder @ A_27a ) @ ( ap @ ( c_2Erelation_2ESTRORD @ A_27a ) @ V0R ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2ESTRORD__RC,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ( ( p @ ( ap @ ( c_2Erelation_2EStrongOrder @ A_27a ) @ V0R ) )
% 5.44/5.68 => ( ( ap @ ( c_2Erelation_2ESTRORD @ A_27a ) @ ( ap @ ( c_2Erelation_2ERC @ A_27a ) @ V0R ) )
% 5.44/5.68 = V0R ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2ERC__STRORD,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ( ( p @ ( ap @ ( c_2Erelation_2EWeakOrder @ A_27a ) @ V0R ) )
% 5.44/5.68 => ( ( ap @ ( c_2Erelation_2ERC @ A_27a ) @ ( ap @ ( c_2Erelation_2ESTRORD @ A_27a ) @ V0R ) )
% 5.44/5.68 = V0R ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2EIDEM__STRORD,axiom,
% 5.44/5.68 ! [A_27a: del] : ( p @ ( ap @ ( c_2Erelation_2EIDEM @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) ) @ ( c_2Erelation_2ESTRORD @ A_27a ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2EIDEM__RC,axiom,
% 5.44/5.68 ! [A_27a: del] : ( p @ ( ap @ ( c_2Erelation_2EIDEM @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) ) @ ( c_2Erelation_2ERC @ A_27a ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2EIDEM__SC,axiom,
% 5.44/5.68 ! [A_27a: del] : ( p @ ( ap @ ( c_2Erelation_2EIDEM @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) ) @ ( c_2Erelation_2ESC @ A_27a ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2EIDEM__TC,axiom,
% 5.44/5.68 ! [A_27a: del] : ( p @ ( ap @ ( c_2Erelation_2EIDEM @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) ) @ ( c_2Erelation_2ETC @ A_27a ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2EIDEM__RTC,axiom,
% 5.44/5.68 ! [A_27a: del] : ( p @ ( ap @ ( c_2Erelation_2EIDEM @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) ) @ ( c_2Erelation_2ERTC @ A_27a ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2Etrichotomous__STRORD,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ( ( p @ ( ap @ ( c_2Erelation_2Etrichotomous @ A_27a ) @ ( ap @ ( c_2Erelation_2ESTRORD @ A_27a ) @ V0R ) ) )
% 5.44/5.68 <=> ( p @ ( ap @ ( c_2Erelation_2Etrichotomous @ A_27a ) @ V0R ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2Etrichotomous__RC,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ( ( p @ ( ap @ ( c_2Erelation_2Etrichotomous @ A_27a ) @ ( ap @ ( c_2Erelation_2ERC @ A_27a ) @ V0R ) ) )
% 5.44/5.68 <=> ( p @ ( ap @ ( c_2Erelation_2Etrichotomous @ A_27a ) @ V0R ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(ax_thm_2Erelation_2ELinearOrder,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ( ( p @ ( ap @ ( c_2Erelation_2ELinearOrder @ A_27a ) @ V0R ) )
% 5.44/5.68 <=> ( ( p @ ( ap @ ( c_2Erelation_2EOrder @ A_27a ) @ V0R ) )
% 5.44/5.68 & ( p @ ( ap @ ( c_2Erelation_2Etrichotomous @ A_27a ) @ V0R ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(ax_thm_2Erelation_2EStrongLinearOrder,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ( ( p @ ( ap @ ( c_2Erelation_2EStrongLinearOrder @ A_27a ) @ V0R ) )
% 5.44/5.68 <=> ( ( p @ ( ap @ ( c_2Erelation_2EStrongOrder @ A_27a ) @ V0R ) )
% 5.44/5.68 & ( p @ ( ap @ ( c_2Erelation_2Etrichotomous @ A_27a ) @ V0R ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(ax_thm_2Erelation_2EWeakLinearOrder,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ( ( p @ ( ap @ ( c_2Erelation_2EWeakLinearOrder @ A_27a ) @ V0R ) )
% 5.44/5.68 <=> ( ( p @ ( ap @ ( c_2Erelation_2EWeakOrder @ A_27a ) @ V0R ) )
% 5.44/5.68 & ( p @ ( ap @ ( c_2Erelation_2Etrichotomous @ A_27a ) @ V0R ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2EWeakLinearOrder__dichotomy,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ( ( p @ ( ap @ ( c_2Erelation_2EWeakLinearOrder @ A_27a ) @ V0R ) )
% 5.44/5.68 <=> ( ( p @ ( ap @ ( c_2Erelation_2EWeakOrder @ A_27a ) @ V0R ) )
% 5.44/5.68 & ! [V1a: $i] :
% 5.44/5.68 ( ( mem @ V1a @ A_27a )
% 5.44/5.68 => ! [V2b: $i] :
% 5.44/5.68 ( ( mem @ V2b @ A_27a )
% 5.44/5.68 => ( ( p @ ( ap @ ( ap @ V0R @ V1a ) @ V2b ) )
% 5.44/5.68 | ( p @ ( ap @ ( ap @ V0R @ V2b ) @ V1a ) ) ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(ax_thm_2Erelation_2Ediag__def,axiom,
% 5.44/5.68 ! [A_27a: del,V0A: $i] :
% 5.44/5.68 ( ( mem @ V0A @ ( arr @ A_27a @ bool ) )
% 5.44/5.68 => ! [V1x: $i] :
% 5.44/5.68 ( ( mem @ V1x @ A_27a )
% 5.44/5.68 => ! [V2y: $i] :
% 5.44/5.68 ( ( mem @ V2y @ A_27a )
% 5.44/5.68 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2Ediag @ A_27a ) @ V0A ) @ V1x ) @ V2y ) )
% 5.44/5.68 <=> ( ( V1x = V2y )
% 5.44/5.68 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V1x ) @ V0A ) ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2EO__ASSOC,axiom,
% 5.44/5.68 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0R1: $i] :
% 5.44/5.68 ( ( mem @ V0R1 @ ( arr @ A_27c @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.68 => ! [V1R2: $i] :
% 5.44/5.68 ( ( mem @ V1R2 @ ( arr @ A_27d @ ( arr @ A_27c @ bool ) ) )
% 5.44/5.68 => ! [V2R3: $i] :
% 5.44/5.68 ( ( mem @ V2R3 @ ( arr @ A_27a @ ( arr @ A_27d @ bool ) ) )
% 5.44/5.68 => ( ( ap @ ( ap @ ( c_2Erelation_2EO @ A_27a @ A_27c @ A_27b ) @ V0R1 ) @ ( ap @ ( ap @ ( c_2Erelation_2EO @ A_27a @ A_27d @ A_27c ) @ V1R2 ) @ V2R3 ) )
% 5.44/5.68 = ( ap @ ( ap @ ( c_2Erelation_2EO @ A_27a @ A_27d @ A_27b ) @ ( ap @ ( ap @ ( c_2Erelation_2EO @ A_27d @ A_27c @ A_27b ) @ V0R1 ) @ V1R2 ) ) @ V2R3 ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2EId__O,axiom,
% 5.44/5.68 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.68 => ( ( ap @ ( ap @ ( c_2Erelation_2EO @ A_27a @ A_27b @ A_27b ) @ ( c_2Emin_2E_3D @ A_27b ) ) @ V0R )
% 5.44/5.68 = V0R ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2EO__Id,axiom,
% 5.44/5.68 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.68 => ( ( ap @ ( ap @ ( c_2Erelation_2EO @ A_27a @ A_27a @ A_27b ) @ V0R ) @ ( c_2Emin_2E_3D @ A_27a ) )
% 5.44/5.68 = V0R ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2EO__MONO,axiom,
% 5.44/5.68 ! [A_27a: del,A_27b: del,A_27c: del,V0R1: $i] :
% 5.44/5.68 ( ( mem @ V0R1 @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.68 => ! [V1R2: $i] :
% 5.44/5.68 ( ( mem @ V1R2 @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.68 => ! [V2S1: $i] :
% 5.44/5.68 ( ( mem @ V2S1 @ ( arr @ A_27c @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ! [V3S2: $i] :
% 5.44/5.68 ( ( mem @ V3S2 @ ( arr @ A_27c @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ( ( ( p @ ( ap @ ( ap @ ( c_2Erelation_2ERSUBSET @ A_27a @ A_27b ) @ V0R1 ) @ V1R2 ) )
% 5.44/5.68 & ( p @ ( ap @ ( ap @ ( c_2Erelation_2ERSUBSET @ A_27c @ A_27a ) @ V2S1 ) @ V3S2 ) ) )
% 5.44/5.68 => ( p @ ( ap @ ( ap @ ( c_2Erelation_2ERSUBSET @ A_27c @ A_27b ) @ ( ap @ ( ap @ ( c_2Erelation_2EO @ A_27c @ A_27a @ A_27b ) @ V0R1 ) @ V2S1 ) ) @ ( ap @ ( ap @ ( c_2Erelation_2EO @ A_27c @ A_27a @ A_27b ) @ V1R2 ) @ V3S2 ) ) ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2Einv__Id,axiom,
% 5.44/5.68 ! [A_27a: del] :
% 5.44/5.68 ( ( ap @ ( c_2Erelation_2Einv @ A_27a @ A_27a ) @ ( c_2Emin_2E_3D @ A_27a ) )
% 5.44/5.68 = ( c_2Emin_2E_3D @ A_27a ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2Einv__diag,axiom,
% 5.44/5.68 ! [A_27a: del,V0A: $i] :
% 5.44/5.68 ( ( mem @ V0A @ ( arr @ A_27a @ bool ) )
% 5.44/5.68 => ( ( ap @ ( c_2Erelation_2Einv @ A_27a @ A_27a ) @ ( ap @ ( c_2Erelation_2Ediag @ A_27a ) @ V0A ) )
% 5.44/5.68 = ( ap @ ( c_2Erelation_2Ediag @ A_27a ) @ V0A ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(ax_thm_2Erelation_2ERDOM__DEF,axiom,
% 5.44/5.68 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.68 => ! [V1x: $i] :
% 5.44/5.68 ( ( mem @ V1x @ A_27a )
% 5.44/5.68 => ( ( p @ ( ap @ ( ap @ ( c_2Erelation_2ERDOM @ A_27a @ A_27b ) @ V0R ) @ V1x ) )
% 5.44/5.68 <=> ? [V2y: $i] :
% 5.44/5.68 ( ( mem @ V2y @ A_27b )
% 5.44/5.68 & ( p @ ( ap @ ( ap @ V0R @ V1x ) @ V2y ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2EIN__RDOM,axiom,
% 5.44/5.68 ! [A_27a: del,A_27b: del,V0x: $i] :
% 5.44/5.68 ( ( mem @ V0x @ A_27a )
% 5.44/5.68 => ! [V1R: $i] :
% 5.44/5.68 ( ( mem @ V1R @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.68 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0x ) @ ( ap @ ( c_2Erelation_2ERDOM @ A_27a @ A_27b ) @ V1R ) ) )
% 5.44/5.68 <=> ? [V2y: $i] :
% 5.44/5.68 ( ( mem @ V2y @ A_27b )
% 5.44/5.68 & ( p @ ( ap @ ( ap @ V1R @ V0x ) @ V2y ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(ax_thm_2Erelation_2ERRANGE,axiom,
% 5.44/5.68 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.68 => ! [V1y: $i] :
% 5.44/5.68 ( ( mem @ V1y @ A_27b )
% 5.44/5.68 => ( ( p @ ( ap @ ( ap @ ( c_2Erelation_2ERRANGE @ A_27a @ A_27b ) @ V0R ) @ V1y ) )
% 5.44/5.68 <=> ? [V2x: $i] :
% 5.44/5.68 ( ( mem @ V2x @ A_27a )
% 5.44/5.68 & ( p @ ( ap @ ( ap @ V0R @ V2x ) @ V1y ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2EIN__RRANGE,axiom,
% 5.44/5.68 ! [A_27a: del,A_27b: del,V0y: $i] :
% 5.44/5.68 ( ( mem @ V0y @ A_27a )
% 5.44/5.68 => ! [V1R: $i] :
% 5.44/5.68 ( ( mem @ V1R @ ( arr @ A_27b @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0y ) @ ( ap @ ( c_2Erelation_2ERRANGE @ A_27b @ A_27a ) @ V1R ) ) )
% 5.44/5.68 <=> ? [V2x: $i] :
% 5.44/5.68 ( ( mem @ V2x @ A_27b )
% 5.44/5.68 & ( p @ ( ap @ ( ap @ V1R @ V2x ) @ V0y ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2EIN__RDOM__RUNION,axiom,
% 5.44/5.68 ! [A_27a: del,A_27b: del,V0x: $i] :
% 5.44/5.68 ( ( mem @ V0x @ A_27a )
% 5.44/5.68 => ! [V1R1: $i] :
% 5.44/5.68 ( ( mem @ V1R1 @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.68 => ! [V2R2: $i] :
% 5.44/5.68 ( ( mem @ V2R2 @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.68 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0x ) @ ( ap @ ( c_2Erelation_2ERDOM @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Erelation_2ERUNION @ A_27a @ A_27b ) @ V1R1 ) @ V2R2 ) ) ) )
% 5.44/5.68 <=> ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0x ) @ ( ap @ ( c_2Erelation_2ERDOM @ A_27a @ A_27b ) @ V1R1 ) ) )
% 5.44/5.68 | ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0x ) @ ( ap @ ( c_2Erelation_2ERDOM @ A_27a @ A_27b ) @ V2R2 ) ) ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(ax_thm_2Erelation_2ERUNIV,axiom,
% 5.44/5.68 ! [A_27a: del,A_27b: del,V0x: $i] :
% 5.44/5.68 ( ( mem @ V0x @ A_27a )
% 5.44/5.68 => ! [V1y: $i] :
% 5.44/5.68 ( ( mem @ V1y @ A_27b )
% 5.44/5.68 => ( ( p @ ( ap @ ( ap @ ( c_2Erelation_2ERUNIV @ A_27a @ A_27b ) @ V0x ) @ V1y ) )
% 5.44/5.68 <=> $true ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2ERUNIV__SUBSET,axiom,
% 5.44/5.68 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.68 => ( ( ( p @ ( ap @ ( ap @ ( c_2Erelation_2ERSUBSET @ A_27a @ A_27b ) @ ( c_2Erelation_2ERUNIV @ A_27a @ A_27b ) ) @ V0R ) )
% 5.44/5.68 <=> ( V0R
% 5.44/5.68 = ( c_2Erelation_2ERUNIV @ A_27a @ A_27b ) ) )
% 5.44/5.68 & ( p @ ( ap @ ( ap @ ( c_2Erelation_2ERSUBSET @ A_27a @ A_27b ) @ V0R ) @ ( c_2Erelation_2ERUNIV @ A_27a @ A_27b ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2EREMPTY__SUBSET,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ( ( p @ ( ap @ ( ap @ ( c_2Erelation_2ERSUBSET @ A_27a @ A_27a ) @ ( c_2Erelation_2EEMPTY__REL @ A_27a ) ) @ V0R ) )
% 5.44/5.68 & ( ( p @ ( ap @ ( ap @ ( c_2Erelation_2ERSUBSET @ A_27a @ A_27a ) @ V0R ) @ ( c_2Erelation_2EEMPTY__REL @ A_27a ) ) )
% 5.44/5.68 <=> ( V0R
% 5.44/5.68 = ( c_2Erelation_2EEMPTY__REL @ A_27a ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(ax_thm_2Erelation_2ERRESTRICT__DEF,axiom,
% 5.44/5.68 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.68 => ! [V1s: $i] :
% 5.44/5.68 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.68 => ! [V2x: $i] :
% 5.44/5.68 ( ( mem @ V2x @ A_27a )
% 5.44/5.68 => ! [V3y: $i] :
% 5.44/5.68 ( ( mem @ V3y @ A_27b )
% 5.44/5.68 => ( ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ERRESTRICT @ A_27a @ A_27b ) @ V0R ) @ V1s ) @ V2x ) @ V3y ) )
% 5.44/5.68 <=> ( ( p @ ( ap @ ( ap @ V0R @ V2x ) @ V3y ) )
% 5.44/5.68 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V1s ) ) ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2EIN__RDOM__RRESTRICT,axiom,
% 5.44/5.68 ! [A_27a: del,A_27b: del,V0x: $i] :
% 5.44/5.68 ( ( mem @ V0x @ A_27a )
% 5.44/5.68 => ! [V1R: $i] :
% 5.44/5.68 ( ( mem @ V1R @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.68 => ! [V2s: $i] :
% 5.44/5.68 ( ( mem @ V2s @ ( arr @ A_27a @ bool ) )
% 5.44/5.68 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0x ) @ ( ap @ ( c_2Erelation_2ERDOM @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Erelation_2ERRESTRICT @ A_27a @ A_27b ) @ V1R ) @ V2s ) ) ) )
% 5.44/5.68 <=> ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0x ) @ ( ap @ ( c_2Erelation_2ERDOM @ A_27a @ A_27b ) @ V1R ) ) )
% 5.44/5.68 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0x ) @ V2s ) ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(ax_thm_2Erelation_2ERDOM__DELETE__DEF,axiom,
% 5.44/5.68 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.68 => ! [V1x: $i] :
% 5.44/5.68 ( ( mem @ V1x @ A_27a )
% 5.44/5.68 => ! [V2u: $i] :
% 5.44/5.68 ( ( mem @ V2u @ A_27a )
% 5.44/5.68 => ! [V3v: $i] :
% 5.44/5.68 ( ( mem @ V3v @ A_27b )
% 5.44/5.68 => ( ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ERDOM__DELETE @ A_27a @ A_27b ) @ V0R ) @ V1x ) @ V2u ) @ V3v ) )
% 5.44/5.68 <=> ( ( p @ ( ap @ ( ap @ V0R @ V2u ) @ V3v ) )
% 5.44/5.68 & ( V2u != V1x ) ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2EIN__RDOM__DELETE,axiom,
% 5.44/5.68 ! [A_27a: del,A_27b: del,V0x: $i] :
% 5.44/5.68 ( ( mem @ V0x @ A_27a )
% 5.44/5.68 => ! [V1R: $i] :
% 5.44/5.68 ( ( mem @ V1R @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.68 => ! [V2k: $i] :
% 5.44/5.68 ( ( mem @ V2k @ A_27a )
% 5.44/5.68 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0x ) @ ( ap @ ( c_2Erelation_2ERDOM @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Erelation_2ERDOM__DELETE @ A_27a @ A_27b ) @ V1R ) @ V2k ) ) ) )
% 5.44/5.68 <=> ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0x ) @ ( ap @ ( c_2Erelation_2ERDOM @ A_27a @ A_27b ) @ V1R ) ) )
% 5.44/5.68 & ( V0x != V2k ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(ax_thm_2Erelation_2Ediamond__def,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ( ( p @ ( ap @ ( c_2Erelation_2Ediamond @ A_27a ) @ V0R ) )
% 5.44/5.68 <=> ! [V1x: $i] :
% 5.44/5.68 ( ( mem @ V1x @ A_27a )
% 5.44/5.68 => ! [V2y: $i] :
% 5.44/5.68 ( ( mem @ V2y @ A_27a )
% 5.44/5.68 => ! [V3z: $i] :
% 5.44/5.68 ( ( mem @ V3z @ A_27a )
% 5.44/5.68 => ( ( ( p @ ( ap @ ( ap @ V0R @ V1x ) @ V2y ) )
% 5.44/5.68 & ( p @ ( ap @ ( ap @ V0R @ V1x ) @ V3z ) ) )
% 5.44/5.68 => ? [V4u: $i] :
% 5.44/5.68 ( ( mem @ V4u @ A_27a )
% 5.44/5.68 & ( p @ ( ap @ ( ap @ V0R @ V2y ) @ V4u ) )
% 5.44/5.68 & ( p @ ( ap @ ( ap @ V0R @ V3z ) @ V4u ) ) ) ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(ax_thm_2Erelation_2Ercdiamond__def,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ( ( p @ ( ap @ ( c_2Erelation_2Ercdiamond @ A_27a ) @ V0R ) )
% 5.44/5.68 <=> ! [V1x: $i] :
% 5.44/5.68 ( ( mem @ V1x @ A_27a )
% 5.44/5.68 => ! [V2y: $i] :
% 5.44/5.68 ( ( mem @ V2y @ A_27a )
% 5.44/5.68 => ! [V3z: $i] :
% 5.44/5.68 ( ( mem @ V3z @ A_27a )
% 5.44/5.68 => ( ( ( p @ ( ap @ ( ap @ V0R @ V1x ) @ V2y ) )
% 5.44/5.68 & ( p @ ( ap @ ( ap @ V0R @ V1x ) @ V3z ) ) )
% 5.44/5.68 => ? [V4u: $i] :
% 5.44/5.68 ( ( mem @ V4u @ A_27a )
% 5.44/5.68 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ERC @ A_27a ) @ V0R ) @ V2y ) @ V4u ) )
% 5.44/5.68 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ERC @ A_27a ) @ V0R ) @ V3z ) @ V4u ) ) ) ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(ax_thm_2Erelation_2ECR__def,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ( ( p @ ( ap @ ( c_2Erelation_2ECR @ A_27a ) @ V0R ) )
% 5.44/5.68 <=> ( p @ ( ap @ ( c_2Erelation_2Ediamond @ A_27a ) @ ( ap @ ( c_2Erelation_2ERTC @ A_27a ) @ V0R ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(ax_thm_2Erelation_2EWCR__def,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ( ( p @ ( ap @ ( c_2Erelation_2EWCR @ A_27a ) @ V0R ) )
% 5.44/5.68 <=> ! [V1x: $i] :
% 5.44/5.68 ( ( mem @ V1x @ A_27a )
% 5.44/5.68 => ! [V2y: $i] :
% 5.44/5.68 ( ( mem @ V2y @ A_27a )
% 5.44/5.68 => ! [V3z: $i] :
% 5.44/5.68 ( ( mem @ V3z @ A_27a )
% 5.44/5.68 => ( ( ( p @ ( ap @ ( ap @ V0R @ V1x ) @ V2y ) )
% 5.44/5.68 & ( p @ ( ap @ ( ap @ V0R @ V1x ) @ V3z ) ) )
% 5.44/5.68 => ? [V4u: $i] :
% 5.44/5.68 ( ( mem @ V4u @ A_27a )
% 5.44/5.68 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ERTC @ A_27a ) @ V0R ) @ V2y ) @ V4u ) )
% 5.44/5.68 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ERTC @ A_27a ) @ V0R ) @ V3z ) @ V4u ) ) ) ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(ax_thm_2Erelation_2ESN__def,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ( ( p @ ( ap @ ( c_2Erelation_2ESN @ A_27a ) @ V0R ) )
% 5.44/5.68 <=> ( p @ ( ap @ ( c_2Erelation_2EWF @ A_27a ) @ ( ap @ ( c_2Erelation_2Einv @ A_27a @ A_27a ) @ V0R ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(ax_thm_2Erelation_2Enf__def,axiom,
% 5.44/5.68 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.68 => ! [V1x: $i] :
% 5.44/5.68 ( ( mem @ V1x @ A_27a )
% 5.44/5.68 => ( ( p @ ( ap @ ( ap @ ( c_2Erelation_2Enf @ A_27a @ A_27b ) @ V0R ) @ V1x ) )
% 5.44/5.68 <=> ! [V2y: $i] :
% 5.44/5.68 ( ( mem @ V2y @ A_27b )
% 5.44/5.68 => ~ ( p @ ( ap @ ( ap @ V0R @ V1x ) @ V2y ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2Ercdiamond__diamond,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ( ( p @ ( ap @ ( c_2Erelation_2Ercdiamond @ A_27a ) @ V0R ) )
% 5.44/5.68 <=> ( p @ ( ap @ ( c_2Erelation_2Ediamond @ A_27a ) @ ( ap @ ( c_2Erelation_2ERC @ A_27a ) @ V0R ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2Ediamond__RC__diamond,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ( ( p @ ( ap @ ( c_2Erelation_2Ediamond @ A_27a ) @ V0R ) )
% 5.44/5.68 => ( p @ ( ap @ ( c_2Erelation_2Ediamond @ A_27a ) @ ( ap @ ( c_2Erelation_2ERC @ A_27a ) @ V0R ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2Ediamond__TC__diamond,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ( ( p @ ( ap @ ( c_2Erelation_2Ediamond @ A_27a ) @ V0R ) )
% 5.44/5.68 => ( p @ ( ap @ ( c_2Erelation_2Ediamond @ A_27a ) @ ( ap @ ( c_2Erelation_2ETC @ A_27a ) @ V0R ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2Eestablish__CR,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ( ( ( p @ ( ap @ ( c_2Erelation_2Ercdiamond @ A_27a ) @ V0R ) )
% 5.44/5.68 => ( p @ ( ap @ ( c_2Erelation_2ECR @ A_27a ) @ V0R ) ) )
% 5.44/5.68 & ( ( p @ ( ap @ ( c_2Erelation_2Ediamond @ A_27a ) @ V0R ) )
% 5.44/5.68 => ( p @ ( ap @ ( c_2Erelation_2ECR @ A_27a ) @ V0R ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Erelation_2ENewmans__lemma,axiom,
% 5.44/5.68 ! [A_27a: del,V0R: $i] :
% 5.44/5.68 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.68 => ( ( ( p @ ( ap @ ( c_2Erelation_2EWCR @ A_27a ) @ V0R ) )
% 5.44/5.68 & ( p @ ( ap @ ( c_2Erelation_2ESN @ A_27a ) @ V0R ) ) )
% 5.44/5.68 => ( p @ ( ap @ ( c_2Erelation_2ECR @ A_27a ) @ V0R ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 %------------------------------------------------------------------------------
% 5.44/5.68 %------------------------------------------------------------------------------
% 5.44/5.68 thf(tp_ty_2Eoption_2Eoption,type,
% 5.44/5.68 ty_2Eoption_2Eoption: del > del ).
% 5.44/5.68
% 5.44/5.68 thf(tp_c_2Eoption_2EIS__NONE,type,
% 5.44/5.68 c_2Eoption_2EIS__NONE: del > $i ).
% 5.44/5.68
% 5.44/5.68 thf(mem_c_2Eoption_2EIS__NONE,axiom,
% 5.44/5.68 ! [A_27a: del] : ( mem @ ( c_2Eoption_2EIS__NONE @ A_27a ) @ ( arr @ ( ty_2Eoption_2Eoption @ A_27a ) @ bool ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(tp_c_2Eoption_2EIS__SOME,type,
% 5.44/5.68 c_2Eoption_2EIS__SOME: del > $i ).
% 5.44/5.68
% 5.44/5.68 thf(mem_c_2Eoption_2EIS__SOME,axiom,
% 5.44/5.68 ! [A_27a: del] : ( mem @ ( c_2Eoption_2EIS__SOME @ A_27a ) @ ( arr @ ( ty_2Eoption_2Eoption @ A_27a ) @ bool ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(tp_c_2Eoption_2ENONE,type,
% 5.44/5.68 c_2Eoption_2ENONE: del > $i ).
% 5.44/5.68
% 5.44/5.68 thf(mem_c_2Eoption_2ENONE,axiom,
% 5.44/5.68 ! [A_27a: del] : ( mem @ ( c_2Eoption_2ENONE @ A_27a ) @ ( ty_2Eoption_2Eoption @ A_27a ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(tp_c_2Eoption_2EOPTION__ALL,type,
% 5.44/5.68 c_2Eoption_2EOPTION__ALL: del > $i ).
% 5.44/5.68
% 5.44/5.68 thf(mem_c_2Eoption_2EOPTION__ALL,axiom,
% 5.44/5.68 ! [A_27a: del] : ( mem @ ( c_2Eoption_2EOPTION__ALL @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( ty_2Eoption_2Eoption @ A_27a ) @ bool ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(tp_c_2Eoption_2EOPTION__APPLY,type,
% 5.44/5.68 c_2Eoption_2EOPTION__APPLY: del > del > $i ).
% 5.44/5.68
% 5.44/5.68 thf(mem_c_2Eoption_2EOPTION__APPLY,axiom,
% 5.44/5.68 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Eoption_2EOPTION__APPLY @ A_27a @ A_27b ) @ ( arr @ ( ty_2Eoption_2Eoption @ ( arr @ A_27b @ A_27a ) ) @ ( arr @ ( ty_2Eoption_2Eoption @ A_27b ) @ ( ty_2Eoption_2Eoption @ A_27a ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(tp_c_2Eoption_2EOPTION__BIND,type,
% 5.44/5.68 c_2Eoption_2EOPTION__BIND: del > del > $i ).
% 5.44/5.68
% 5.44/5.68 thf(mem_c_2Eoption_2EOPTION__BIND,axiom,
% 5.44/5.68 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Eoption_2EOPTION__BIND @ A_27a @ A_27b ) @ ( arr @ ( ty_2Eoption_2Eoption @ A_27b ) @ ( arr @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ ( ty_2Eoption_2Eoption @ A_27a ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(tp_c_2Eoption_2EOPTION__CHOICE,type,
% 5.44/5.68 c_2Eoption_2EOPTION__CHOICE: del > $i ).
% 5.44/5.68
% 5.44/5.68 thf(mem_c_2Eoption_2EOPTION__CHOICE,axiom,
% 5.44/5.68 ! [A_27a: del] : ( mem @ ( c_2Eoption_2EOPTION__CHOICE @ A_27a ) @ ( arr @ ( ty_2Eoption_2Eoption @ A_27a ) @ ( arr @ ( ty_2Eoption_2Eoption @ A_27a ) @ ( ty_2Eoption_2Eoption @ A_27a ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(stp_c_ty_2Eoption_2Eoption_ty_2Eone_2Eone,type,
% 5.44/5.68 tp__c_ty_2Eoption_2Eoption_ty_2Eone_2Eone: $tType ).
% 5.44/5.68
% 5.44/5.68 thf(stp_inj_c_ty_2Eoption_2Eoption_ty_2Eone_2Eone,type,
% 5.44/5.68 inj__c_ty_2Eoption_2Eoption_ty_2Eone_2Eone: tp__c_ty_2Eoption_2Eoption_ty_2Eone_2Eone > $i ).
% 5.44/5.68
% 5.44/5.68 thf(stp_surj_c_ty_2Eoption_2Eoption_ty_2Eone_2Eone,type,
% 5.44/5.68 surj__c_ty_2Eoption_2Eoption_ty_2Eone_2Eone: $i > tp__c_ty_2Eoption_2Eoption_ty_2Eone_2Eone ).
% 5.44/5.68
% 5.44/5.68 thf(stp_inj_surj_c_ty_2Eoption_2Eoption_ty_2Eone_2Eone,axiom,
% 5.44/5.68 ! [X: tp__c_ty_2Eoption_2Eoption_ty_2Eone_2Eone] :
% 5.44/5.68 ( ( surj__c_ty_2Eoption_2Eoption_ty_2Eone_2Eone @ ( inj__c_ty_2Eoption_2Eoption_ty_2Eone_2Eone @ X ) )
% 5.44/5.68 = X ) ).
% 5.44/5.68
% 5.44/5.68 thf(stp_inj_mem_c_ty_2Eoption_2Eoption_ty_2Eone_2Eone,axiom,
% 5.44/5.68 ! [X: tp__c_ty_2Eoption_2Eoption_ty_2Eone_2Eone] : ( mem @ ( inj__c_ty_2Eoption_2Eoption_ty_2Eone_2Eone @ X ) @ ( ty_2Eoption_2Eoption @ ty_2Eone_2Eone ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(stp_iso_mem_c_ty_2Eoption_2Eoption_ty_2Eone_2Eone,axiom,
% 5.44/5.68 ! [X: $i] :
% 5.44/5.68 ( ( mem @ X @ ( ty_2Eoption_2Eoption @ ty_2Eone_2Eone ) )
% 5.44/5.68 => ( X
% 5.44/5.68 = ( inj__c_ty_2Eoption_2Eoption_ty_2Eone_2Eone @ ( surj__c_ty_2Eoption_2Eoption_ty_2Eone_2Eone @ X ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(tp_c_2Eoption_2EOPTION__GUARD,type,
% 5.44/5.68 c_2Eoption_2EOPTION__GUARD: $i ).
% 5.44/5.68
% 5.44/5.68 thf(mem_c_2Eoption_2EOPTION__GUARD,axiom,
% 5.44/5.68 mem @ c_2Eoption_2EOPTION__GUARD @ ( arr @ bool @ ( ty_2Eoption_2Eoption @ ty_2Eone_2Eone ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(tp_c_2Eoption_2EOPTION__IGNORE__BIND,type,
% 5.44/5.68 c_2Eoption_2EOPTION__IGNORE__BIND: del > del > $i ).
% 5.44/5.68
% 5.44/5.68 thf(mem_c_2Eoption_2EOPTION__IGNORE__BIND,axiom,
% 5.44/5.68 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Eoption_2EOPTION__IGNORE__BIND @ A_27a @ A_27b ) @ ( arr @ ( ty_2Eoption_2Eoption @ A_27b ) @ ( arr @ ( ty_2Eoption_2Eoption @ A_27a ) @ ( ty_2Eoption_2Eoption @ A_27a ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(tp_c_2Eoption_2EOPTION__JOIN,type,
% 5.44/5.68 c_2Eoption_2EOPTION__JOIN: del > $i ).
% 5.44/5.68
% 5.44/5.68 thf(mem_c_2Eoption_2EOPTION__JOIN,axiom,
% 5.44/5.68 ! [A_27a: del] : ( mem @ ( c_2Eoption_2EOPTION__JOIN @ A_27a ) @ ( arr @ ( ty_2Eoption_2Eoption @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ ( ty_2Eoption_2Eoption @ A_27a ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(tp_c_2Eoption_2EOPTION__MAP,type,
% 5.44/5.68 c_2Eoption_2EOPTION__MAP: del > del > $i ).
% 5.44/5.68
% 5.44/5.68 thf(mem_c_2Eoption_2EOPTION__MAP,axiom,
% 5.44/5.68 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Eoption_2EOPTION__MAP @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ A_27b ) @ ( arr @ ( ty_2Eoption_2Eoption @ A_27a ) @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(tp_c_2Eoption_2EOPTION__MAP2,type,
% 5.44/5.68 c_2Eoption_2EOPTION__MAP2: del > del > del > $i ).
% 5.44/5.68
% 5.44/5.68 thf(mem_c_2Eoption_2EOPTION__MAP2,axiom,
% 5.44/5.68 ! [A_27a: del,A_27b: del,A_27c: del] : ( mem @ ( c_2Eoption_2EOPTION__MAP2 @ A_27a @ A_27b @ A_27c ) @ ( arr @ ( arr @ A_27b @ ( arr @ A_27c @ A_27a ) ) @ ( arr @ ( ty_2Eoption_2Eoption @ A_27b ) @ ( arr @ ( ty_2Eoption_2Eoption @ A_27c ) @ ( ty_2Eoption_2Eoption @ A_27a ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(tp_c_2Eoption_2EOPTION__MCOMP,type,
% 5.44/5.68 c_2Eoption_2EOPTION__MCOMP: del > del > del > $i ).
% 5.44/5.68
% 5.44/5.68 thf(mem_c_2Eoption_2EOPTION__MCOMP,axiom,
% 5.44/5.68 ! [A_27a: del,A_27b: del,A_27c: del] : ( mem @ ( c_2Eoption_2EOPTION__MCOMP @ A_27a @ A_27b @ A_27c ) @ ( arr @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ ( arr @ ( arr @ A_27c @ ( ty_2Eoption_2Eoption @ A_27b ) ) @ ( arr @ A_27c @ ( ty_2Eoption_2Eoption @ A_27a ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(tp_c_2Eoption_2EOPTREL,type,
% 5.44/5.68 c_2Eoption_2EOPTREL: del > del > $i ).
% 5.44/5.68
% 5.44/5.68 thf(mem_c_2Eoption_2EOPTREL,axiom,
% 5.44/5.68 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Eoption_2EOPTREL @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) @ ( arr @ ( ty_2Eoption_2Eoption @ A_27a ) @ ( arr @ ( ty_2Eoption_2Eoption @ A_27b ) @ bool ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(tp_c_2Eoption_2ESOME,type,
% 5.44/5.68 c_2Eoption_2ESOME: del > $i ).
% 5.44/5.68
% 5.44/5.68 thf(mem_c_2Eoption_2ESOME,axiom,
% 5.44/5.68 ! [A_27a: del] : ( mem @ ( c_2Eoption_2ESOME @ A_27a ) @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27a ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(tp_c_2Eoption_2ETHE,type,
% 5.44/5.68 c_2Eoption_2ETHE: del > $i ).
% 5.44/5.68
% 5.44/5.68 thf(mem_c_2Eoption_2ETHE,axiom,
% 5.44/5.68 ! [A_27a: del] : ( mem @ ( c_2Eoption_2ETHE @ A_27a ) @ ( arr @ ( ty_2Eoption_2Eoption @ A_27a ) @ A_27a ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(tp_c_2Eoption_2Eoption__ABS,type,
% 5.44/5.68 c_2Eoption_2Eoption__ABS: del > $i ).
% 5.44/5.68
% 5.44/5.68 thf(mem_c_2Eoption_2Eoption__ABS,axiom,
% 5.44/5.68 ! [A_27a: del] : ( mem @ ( c_2Eoption_2Eoption__ABS @ A_27a ) @ ( arr @ ( ty_2Esum_2Esum @ A_27a @ ty_2Eone_2Eone ) @ ( ty_2Eoption_2Eoption @ A_27a ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(tp_c_2Eoption_2Eoption__CASE,type,
% 5.44/5.68 c_2Eoption_2Eoption__CASE: del > del > $i ).
% 5.44/5.68
% 5.44/5.68 thf(mem_c_2Eoption_2Eoption__CASE,axiom,
% 5.44/5.68 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Eoption_2Eoption__CASE @ A_27a @ A_27b ) @ ( arr @ ( ty_2Eoption_2Eoption @ A_27a ) @ ( arr @ A_27b @ ( arr @ ( arr @ A_27a @ A_27b ) @ A_27b ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(tp_c_2Eoption_2Eoption__REP,type,
% 5.44/5.68 c_2Eoption_2Eoption__REP: del > $i ).
% 5.44/5.68
% 5.44/5.68 thf(mem_c_2Eoption_2Eoption__REP,axiom,
% 5.44/5.68 ! [A_27a: del] : ( mem @ ( c_2Eoption_2Eoption__REP @ A_27a ) @ ( arr @ ( ty_2Eoption_2Eoption @ A_27a ) @ ( ty_2Esum_2Esum @ A_27a @ ty_2Eone_2Eone ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(tp_c_2Eoption_2Esome,type,
% 5.44/5.68 c_2Eoption_2Esome: del > $i ).
% 5.44/5.68
% 5.44/5.68 thf(mem_c_2Eoption_2Esome,axiom,
% 5.44/5.68 ! [A_27a: del] : ( mem @ ( c_2Eoption_2Esome @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( ty_2Eoption_2Eoption @ A_27a ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(ax_thm_2Eoption_2Eoption__TY__DEF,axiom,
% 5.44/5.68 ! [A_27a: del] :
% 5.44/5.68 ? [V0rep: $i] :
% 5.44/5.68 ( ( mem @ V0rep @ ( arr @ ( ty_2Eoption_2Eoption @ A_27a ) @ ( ty_2Esum_2Esum @ A_27a @ ty_2Eone_2Eone ) ) )
% 5.44/5.68 & ( p
% 5.44/5.68 @ ( ap
% 5.44/5.68 @ ( ap @ ( c_2Ebool_2ETYPE__DEFINITION @ ( ty_2Esum_2Esum @ A_27a @ ty_2Eone_2Eone ) @ ( ty_2Eoption_2Eoption @ A_27a ) )
% 5.44/5.68 @ ( lam @ ( ty_2Esum_2Esum @ A_27a @ ty_2Eone_2Eone )
% 5.44/5.68 @ ^ [V1x: $i] : c_2Ebool_2ET ) )
% 5.44/5.68 @ V0rep ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(ax_thm_2Eoption_2Eoption__REP__ABS__DEF,axiom,
% 5.44/5.68 ! [A_27a: del] :
% 5.44/5.68 ( ! [V0a: $i] :
% 5.44/5.68 ( ( mem @ V0a @ ( ty_2Eoption_2Eoption @ A_27a ) )
% 5.44/5.68 => ( ( ap @ ( c_2Eoption_2Eoption__ABS @ A_27a ) @ ( ap @ ( c_2Eoption_2Eoption__REP @ A_27a ) @ V0a ) )
% 5.44/5.68 = V0a ) )
% 5.44/5.68 & ! [V1r: $i] :
% 5.44/5.68 ( ( mem @ V1r @ ( ty_2Esum_2Esum @ A_27a @ ty_2Eone_2Eone ) )
% 5.44/5.68 => ( ( p
% 5.44/5.68 @ ( ap
% 5.44/5.68 @ ( lam @ ( ty_2Esum_2Esum @ A_27a @ ty_2Eone_2Eone )
% 5.44/5.68 @ ^ [V2x: $i] : c_2Ebool_2ET )
% 5.44/5.68 @ V1r ) )
% 5.44/5.68 <=> ( ( ap @ ( c_2Eoption_2Eoption__REP @ A_27a ) @ ( ap @ ( c_2Eoption_2Eoption__ABS @ A_27a ) @ V1r ) )
% 5.44/5.68 = V1r ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(ax_thm_2Eoption_2ESOME__DEF,axiom,
% 5.44/5.68 ! [A_27a: del,V0x: $i] :
% 5.44/5.68 ( ( mem @ V0x @ A_27a )
% 5.44/5.68 => ( ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V0x )
% 5.44/5.68 = ( ap @ ( c_2Eoption_2Eoption__ABS @ A_27a ) @ ( ap @ ( c_2Esum_2EINL @ A_27a @ ty_2Eone_2Eone ) @ V0x ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(ax_thm_2Eoption_2ENONE__DEF,axiom,
% 5.44/5.68 ! [A_27a: del] :
% 5.44/5.68 ( ( c_2Eoption_2ENONE @ A_27a )
% 5.44/5.68 = ( ap @ ( c_2Eoption_2Eoption__ABS @ A_27a ) @ ( ap @ ( c_2Esum_2EINR @ A_27a @ ty_2Eone_2Eone ) @ ( inj__ty_2Eone_2Eone @ fo__c_2Eone_2Eone ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Eoption_2Eoption__Axiom,axiom,
% 5.44/5.68 ! [A_27a: del,A_27b: del,V0e: $i] :
% 5.44/5.68 ( ( mem @ V0e @ A_27b )
% 5.44/5.68 => ! [V1f: $i] :
% 5.44/5.68 ( ( mem @ V1f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.68 => ? [V2fn: $i] :
% 5.44/5.68 ( ( mem @ V2fn @ ( arr @ ( ty_2Eoption_2Eoption @ A_27a ) @ A_27b ) )
% 5.44/5.68 & ( ( ap @ V2fn @ ( c_2Eoption_2ENONE @ A_27a ) )
% 5.44/5.68 = V0e )
% 5.44/5.68 & ! [V3x: $i] :
% 5.44/5.68 ( ( mem @ V3x @ A_27a )
% 5.44/5.68 => ( ( ap @ V2fn @ ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V3x ) )
% 5.44/5.68 = ( ap @ V1f @ V3x ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Eoption_2Eoption__induction,axiom,
% 5.44/5.68 ! [A_27a: del,V0P: $i] :
% 5.44/5.68 ( ( mem @ V0P @ ( arr @ ( ty_2Eoption_2Eoption @ A_27a ) @ bool ) )
% 5.44/5.68 => ( ( ( p @ ( ap @ V0P @ ( c_2Eoption_2ENONE @ A_27a ) ) )
% 5.44/5.68 & ! [V1a: $i] :
% 5.44/5.68 ( ( mem @ V1a @ A_27a )
% 5.44/5.68 => ( p @ ( ap @ V0P @ ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V1a ) ) ) ) )
% 5.44/5.68 => ! [V2x: $i] :
% 5.44/5.68 ( ( mem @ V2x @ ( ty_2Eoption_2Eoption @ A_27a ) )
% 5.44/5.68 => ( p @ ( ap @ V0P @ V2x ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Eoption_2Eoption__nchotomy,axiom,
% 5.44/5.68 ! [A_27a: del,V0opt: $i] :
% 5.44/5.68 ( ( mem @ V0opt @ ( ty_2Eoption_2Eoption @ A_27a ) )
% 5.44/5.68 => ( ( V0opt
% 5.44/5.68 = ( c_2Eoption_2ENONE @ A_27a ) )
% 5.44/5.68 | ? [V1x: $i] :
% 5.44/5.68 ( ( mem @ V1x @ A_27a )
% 5.44/5.68 & ( V0opt
% 5.44/5.68 = ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V1x ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(ax_thm_2Eoption_2Eoption__case__def,axiom,
% 5.44/5.68 ! [A_27a: del,A_27b: del] :
% 5.44/5.68 ( ! [V0v: $i] :
% 5.44/5.68 ( ( mem @ V0v @ A_27b )
% 5.44/5.68 => ! [V1f: $i] :
% 5.44/5.68 ( ( mem @ V1f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.68 => ( ( ap @ ( ap @ ( ap @ ( c_2Eoption_2Eoption__CASE @ A_27a @ A_27b ) @ ( c_2Eoption_2ENONE @ A_27a ) ) @ V0v ) @ V1f )
% 5.44/5.68 = V0v ) ) )
% 5.44/5.68 & ! [V2x: $i] :
% 5.44/5.68 ( ( mem @ V2x @ A_27a )
% 5.44/5.68 => ! [V3v: $i] :
% 5.44/5.68 ( ( mem @ V3v @ A_27b )
% 5.44/5.68 => ! [V4f: $i] :
% 5.44/5.68 ( ( mem @ V4f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.68 => ( ( ap @ ( ap @ ( ap @ ( c_2Eoption_2Eoption__CASE @ A_27a @ A_27b ) @ ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V2x ) ) @ V3v ) @ V4f )
% 5.44/5.68 = ( ap @ V4f @ V2x ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Eoption_2EFORALL__OPTION,axiom,
% 5.44/5.68 ! [A_27a: del,V0P: $i] :
% 5.44/5.68 ( ( mem @ V0P @ ( arr @ ( ty_2Eoption_2Eoption @ A_27a ) @ bool ) )
% 5.44/5.68 => ( ! [V1opt: $i] :
% 5.44/5.68 ( ( mem @ V1opt @ ( ty_2Eoption_2Eoption @ A_27a ) )
% 5.44/5.68 => ( p @ ( ap @ V0P @ V1opt ) ) )
% 5.44/5.68 <=> ( ( p @ ( ap @ V0P @ ( c_2Eoption_2ENONE @ A_27a ) ) )
% 5.44/5.68 & ! [V2x: $i] :
% 5.44/5.68 ( ( mem @ V2x @ A_27a )
% 5.44/5.68 => ( p @ ( ap @ V0P @ ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V2x ) ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Eoption_2EEXISTS__OPTION,axiom,
% 5.44/5.68 ! [A_27a: del,V0P: $i] :
% 5.44/5.68 ( ( mem @ V0P @ ( arr @ ( ty_2Eoption_2Eoption @ A_27a ) @ bool ) )
% 5.44/5.68 => ( ? [V1opt: $i] :
% 5.44/5.68 ( ( mem @ V1opt @ ( ty_2Eoption_2Eoption @ A_27a ) )
% 5.44/5.68 & ( p @ ( ap @ V0P @ V1opt ) ) )
% 5.44/5.68 <=> ( ( p @ ( ap @ V0P @ ( c_2Eoption_2ENONE @ A_27a ) ) )
% 5.44/5.68 | ? [V2x: $i] :
% 5.44/5.68 ( ( mem @ V2x @ A_27a )
% 5.44/5.68 & ( p @ ( ap @ V0P @ ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V2x ) ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Eoption_2ESOME__11,axiom,
% 5.44/5.68 ! [A_27a: del,V0x: $i] :
% 5.44/5.68 ( ( mem @ V0x @ A_27a )
% 5.44/5.68 => ! [V1y: $i] :
% 5.44/5.68 ( ( mem @ V1y @ A_27a )
% 5.44/5.68 => ( ( ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V0x )
% 5.44/5.68 = ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V1y ) )
% 5.44/5.68 <=> ( V0x = V1y ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Eoption_2ENOT__NONE__SOME,axiom,
% 5.44/5.68 ! [A_27a: del,V0x: $i] :
% 5.44/5.68 ( ( mem @ V0x @ A_27a )
% 5.44/5.68 => ( ( c_2Eoption_2ENONE @ A_27a )
% 5.44/5.68 != ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V0x ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Eoption_2ENOT__SOME__NONE,axiom,
% 5.44/5.68 ! [A_27a: del,V0x: $i] :
% 5.44/5.68 ( ( mem @ V0x @ A_27a )
% 5.44/5.68 => ( ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V0x )
% 5.44/5.68 != ( c_2Eoption_2ENONE @ A_27a ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(ax_thm_2Eoption_2EOPTION__MAP__DEF,axiom,
% 5.44/5.68 ! [A_27a: del,A_27b: del] :
% 5.44/5.68 ( ! [V0f: $i] :
% 5.44/5.68 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.68 => ! [V1x: $i] :
% 5.44/5.68 ( ( mem @ V1x @ A_27a )
% 5.44/5.68 => ( ( ap @ ( ap @ ( c_2Eoption_2EOPTION__MAP @ A_27a @ A_27b ) @ V0f ) @ ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V1x ) )
% 5.44/5.68 = ( ap @ ( c_2Eoption_2ESOME @ A_27b ) @ ( ap @ V0f @ V1x ) ) ) ) )
% 5.44/5.68 & ! [V2f: $i] :
% 5.44/5.68 ( ( mem @ V2f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.68 => ( ( ap @ ( ap @ ( c_2Eoption_2EOPTION__MAP @ A_27a @ A_27b ) @ V2f ) @ ( c_2Eoption_2ENONE @ A_27a ) )
% 5.44/5.68 = ( c_2Eoption_2ENONE @ A_27b ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(ax_thm_2Eoption_2EIS__SOME__DEF,axiom,
% 5.44/5.68 ! [A_27a: del] :
% 5.44/5.68 ( ! [V0x: $i] :
% 5.44/5.68 ( ( mem @ V0x @ A_27a )
% 5.44/5.68 => ( ( p @ ( ap @ ( c_2Eoption_2EIS__SOME @ A_27a ) @ ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V0x ) ) )
% 5.44/5.68 <=> $true ) )
% 5.44/5.68 & ( ( p @ ( ap @ ( c_2Eoption_2EIS__SOME @ A_27a ) @ ( c_2Eoption_2ENONE @ A_27a ) ) )
% 5.44/5.68 <=> $false ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(ax_thm_2Eoption_2EIS__NONE__DEF,axiom,
% 5.44/5.68 ! [A_27a: del] :
% 5.44/5.68 ( ! [V0x: $i] :
% 5.44/5.68 ( ( mem @ V0x @ A_27a )
% 5.44/5.68 => ( ( p @ ( ap @ ( c_2Eoption_2EIS__NONE @ A_27a ) @ ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V0x ) ) )
% 5.44/5.68 <=> $false ) )
% 5.44/5.68 & ( ( p @ ( ap @ ( c_2Eoption_2EIS__NONE @ A_27a ) @ ( c_2Eoption_2ENONE @ A_27a ) ) )
% 5.44/5.68 <=> $true ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(ax_thm_2Eoption_2ETHE__DEF,axiom,
% 5.44/5.68 ! [A_27a: del,V0x: $i] :
% 5.44/5.68 ( ( mem @ V0x @ A_27a )
% 5.44/5.68 => ( ( ap @ ( c_2Eoption_2ETHE @ A_27a ) @ ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V0x ) )
% 5.44/5.68 = V0x ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(ax_thm_2Eoption_2EOPTION__MAP2__DEF,axiom,
% 5.44/5.68 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.44/5.68 ( ( mem @ V0f @ ( arr @ A_27b @ ( arr @ A_27c @ A_27a ) ) )
% 5.44/5.68 => ! [V1x: $i] :
% 5.44/5.68 ( ( mem @ V1x @ ( ty_2Eoption_2Eoption @ A_27b ) )
% 5.44/5.68 => ! [V2y: $i] :
% 5.44/5.68 ( ( mem @ V2y @ ( ty_2Eoption_2Eoption @ A_27c ) )
% 5.44/5.68 => ( ( ap @ ( ap @ ( ap @ ( c_2Eoption_2EOPTION__MAP2 @ A_27a @ A_27b @ A_27c ) @ V0f ) @ V1x ) @ V2y )
% 5.44/5.68 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( c_2Eoption_2EIS__SOME @ A_27b ) @ V1x ) ) @ ( ap @ ( c_2Eoption_2EIS__SOME @ A_27c ) @ V2y ) ) ) @ ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ ( ap @ ( ap @ V0f @ ( ap @ ( c_2Eoption_2ETHE @ A_27b ) @ V1x ) ) @ ( ap @ ( c_2Eoption_2ETHE @ A_27c ) @ V2y ) ) ) ) @ ( c_2Eoption_2ENONE @ A_27a ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(ax_thm_2Eoption_2EOPTION__JOIN__DEF,axiom,
% 5.44/5.68 ! [A_27a: del] :
% 5.44/5.68 ( ( ( ap @ ( c_2Eoption_2EOPTION__JOIN @ A_27a ) @ ( c_2Eoption_2ENONE @ ( ty_2Eoption_2Eoption @ A_27a ) ) )
% 5.44/5.68 = ( c_2Eoption_2ENONE @ A_27a ) )
% 5.44/5.68 & ! [V0x: $i] :
% 5.44/5.68 ( ( mem @ V0x @ ( ty_2Eoption_2Eoption @ A_27a ) )
% 5.44/5.68 => ( ( ap @ ( c_2Eoption_2EOPTION__JOIN @ A_27a ) @ ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ V0x ) )
% 5.44/5.68 = V0x ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Eoption_2EOPTION__MAP2__THM,axiom,
% 5.44/5.68 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.44/5.68 ( ( mem @ V0f @ ( arr @ A_27b @ ( arr @ A_27c @ A_27a ) ) )
% 5.44/5.68 => ! [V1x: $i] :
% 5.44/5.68 ( ( mem @ V1x @ A_27b )
% 5.44/5.68 => ! [V2y: $i] :
% 5.44/5.68 ( ( mem @ V2y @ A_27c )
% 5.44/5.68 => ( ( ( ap @ ( ap @ ( ap @ ( c_2Eoption_2EOPTION__MAP2 @ A_27a @ A_27b @ A_27c ) @ V0f ) @ ( ap @ ( c_2Eoption_2ESOME @ A_27b ) @ V1x ) ) @ ( ap @ ( c_2Eoption_2ESOME @ A_27c ) @ V2y ) )
% 5.44/5.68 = ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ ( ap @ ( ap @ V0f @ V1x ) @ V2y ) ) )
% 5.44/5.68 & ( ( ap @ ( ap @ ( ap @ ( c_2Eoption_2EOPTION__MAP2 @ A_27a @ A_27b @ A_27c ) @ V0f ) @ ( ap @ ( c_2Eoption_2ESOME @ A_27b ) @ V1x ) ) @ ( c_2Eoption_2ENONE @ A_27c ) )
% 5.44/5.68 = ( c_2Eoption_2ENONE @ A_27a ) )
% 5.44/5.68 & ( ( ap @ ( ap @ ( ap @ ( c_2Eoption_2EOPTION__MAP2 @ A_27a @ A_27b @ A_27c ) @ V0f ) @ ( c_2Eoption_2ENONE @ A_27b ) ) @ ( ap @ ( c_2Eoption_2ESOME @ A_27c ) @ V2y ) )
% 5.44/5.68 = ( c_2Eoption_2ENONE @ A_27a ) )
% 5.44/5.68 & ( ( ap @ ( ap @ ( ap @ ( c_2Eoption_2EOPTION__MAP2 @ A_27a @ A_27b @ A_27c ) @ V0f ) @ ( c_2Eoption_2ENONE @ A_27b ) ) @ ( c_2Eoption_2ENONE @ A_27c ) )
% 5.44/5.68 = ( c_2Eoption_2ENONE @ A_27a ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Eoption_2EIS__SOME__EXISTS,axiom,
% 5.44/5.68 ! [A_27a: del,V0opt: $i] :
% 5.44/5.68 ( ( mem @ V0opt @ ( ty_2Eoption_2Eoption @ A_27a ) )
% 5.44/5.68 => ( ( p @ ( ap @ ( c_2Eoption_2EIS__SOME @ A_27a ) @ V0opt ) )
% 5.44/5.68 <=> ? [V1x: $i] :
% 5.44/5.68 ( ( mem @ V1x @ A_27a )
% 5.44/5.68 & ( V0opt
% 5.44/5.68 = ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V1x ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Eoption_2EIS__NONE__EQ__NONE,axiom,
% 5.44/5.68 ! [A_27a: del,V0x: $i] :
% 5.44/5.68 ( ( mem @ V0x @ ( ty_2Eoption_2Eoption @ A_27a ) )
% 5.44/5.68 => ( ( p @ ( ap @ ( c_2Eoption_2EIS__NONE @ A_27a ) @ V0x ) )
% 5.44/5.68 <=> ( V0x
% 5.44/5.68 = ( c_2Eoption_2ENONE @ A_27a ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Eoption_2ENOT__IS__SOME__EQ__NONE,axiom,
% 5.44/5.68 ! [A_27a: del,V0x: $i] :
% 5.44/5.68 ( ( mem @ V0x @ ( ty_2Eoption_2Eoption @ A_27a ) )
% 5.44/5.68 => ( ~ ( p @ ( ap @ ( c_2Eoption_2EIS__SOME @ A_27a ) @ V0x ) )
% 5.44/5.68 <=> ( V0x
% 5.44/5.68 = ( c_2Eoption_2ENONE @ A_27a ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Eoption_2Eoption__case__ID,axiom,
% 5.44/5.68 ! [A_27a: del,V0x: $i] :
% 5.44/5.68 ( ( mem @ V0x @ ( ty_2Eoption_2Eoption @ A_27a ) )
% 5.44/5.68 => ( ( ap @ ( ap @ ( ap @ ( c_2Eoption_2Eoption__CASE @ A_27a @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ V0x ) @ ( c_2Eoption_2ENONE @ A_27a ) ) @ ( c_2Eoption_2ESOME @ A_27a ) )
% 5.44/5.68 = V0x ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Eoption_2Eoption__case__SOME__ID,axiom,
% 5.44/5.68 ! [A_27a: del,V0x: $i] :
% 5.44/5.68 ( ( mem @ V0x @ ( ty_2Eoption_2Eoption @ A_27a ) )
% 5.44/5.68 => ( ( ap @ ( ap @ ( ap @ ( c_2Eoption_2Eoption__CASE @ A_27a @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ V0x ) @ V0x ) @ ( c_2Eoption_2ESOME @ A_27a ) )
% 5.44/5.68 = V0x ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Eoption_2Eoption__CLAUSES,axiom,
% 5.44/5.68 ! [A_27a: del,A_27b: del,V0e: $i] :
% 5.44/5.68 ( ( mem @ V0e @ A_27b )
% 5.44/5.68 => ! [V1f: $i] :
% 5.44/5.68 ( ( mem @ V1f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.68 => ! [V2e: $i] :
% 5.44/5.68 ( ( mem @ V2e @ ( ty_2Eoption_2Eoption @ A_27a ) )
% 5.44/5.68 => ( ! [V3x: $i] :
% 5.44/5.68 ( ( mem @ V3x @ A_27a )
% 5.44/5.68 => ! [V4y: $i] :
% 5.44/5.68 ( ( mem @ V4y @ A_27a )
% 5.44/5.68 => ( ( ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V3x )
% 5.44/5.68 = ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V4y ) )
% 5.44/5.68 <=> ( V3x = V4y ) ) ) )
% 5.44/5.68 & ! [V5x: $i] :
% 5.44/5.68 ( ( mem @ V5x @ A_27a )
% 5.44/5.68 => ( ( ap @ ( c_2Eoption_2ETHE @ A_27a ) @ ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V5x ) )
% 5.44/5.68 = V5x ) )
% 5.44/5.68 & ! [V6x: $i] :
% 5.44/5.68 ( ( mem @ V6x @ A_27a )
% 5.44/5.68 => ( ( c_2Eoption_2ENONE @ A_27a )
% 5.44/5.68 != ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V6x ) ) )
% 5.44/5.68 & ! [V7x: $i] :
% 5.44/5.68 ( ( mem @ V7x @ A_27a )
% 5.44/5.68 => ( ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V7x )
% 5.44/5.68 != ( c_2Eoption_2ENONE @ A_27a ) ) )
% 5.44/5.68 & ! [V8x: $i] :
% 5.44/5.68 ( ( mem @ V8x @ A_27a )
% 5.44/5.68 => ( ( p @ ( ap @ ( c_2Eoption_2EIS__SOME @ A_27a ) @ ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V8x ) ) )
% 5.44/5.68 <=> $true ) )
% 5.44/5.68 & ( ( p @ ( ap @ ( c_2Eoption_2EIS__SOME @ A_27a ) @ ( c_2Eoption_2ENONE @ A_27a ) ) )
% 5.44/5.68 <=> $false )
% 5.44/5.68 & ! [V9x: $i] :
% 5.44/5.68 ( ( mem @ V9x @ ( ty_2Eoption_2Eoption @ A_27a ) )
% 5.44/5.68 => ( ( p @ ( ap @ ( c_2Eoption_2EIS__NONE @ A_27a ) @ V9x ) )
% 5.44/5.68 <=> ( V9x
% 5.44/5.68 = ( c_2Eoption_2ENONE @ A_27a ) ) ) )
% 5.44/5.68 & ! [V10x: $i] :
% 5.44/5.68 ( ( mem @ V10x @ ( ty_2Eoption_2Eoption @ A_27a ) )
% 5.44/5.68 => ( ~ ( p @ ( ap @ ( c_2Eoption_2EIS__SOME @ A_27a ) @ V10x ) )
% 5.44/5.68 <=> ( V10x
% 5.44/5.68 = ( c_2Eoption_2ENONE @ A_27a ) ) ) )
% 5.44/5.68 & ! [V11x: $i] :
% 5.44/5.68 ( ( mem @ V11x @ ( ty_2Eoption_2Eoption @ A_27a ) )
% 5.44/5.68 => ( ( p @ ( ap @ ( c_2Eoption_2EIS__SOME @ A_27a ) @ V11x ) )
% 5.44/5.68 => ( ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ ( ap @ ( c_2Eoption_2ETHE @ A_27a ) @ V11x ) )
% 5.44/5.68 = V11x ) ) )
% 5.44/5.68 & ! [V12x: $i] :
% 5.44/5.68 ( ( mem @ V12x @ ( ty_2Eoption_2Eoption @ A_27a ) )
% 5.44/5.68 => ( ( ap @ ( ap @ ( ap @ ( c_2Eoption_2Eoption__CASE @ A_27a @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ V12x ) @ ( c_2Eoption_2ENONE @ A_27a ) ) @ ( c_2Eoption_2ESOME @ A_27a ) )
% 5.44/5.68 = V12x ) )
% 5.44/5.68 & ! [V13x: $i] :
% 5.44/5.68 ( ( mem @ V13x @ ( ty_2Eoption_2Eoption @ A_27a ) )
% 5.44/5.68 => ( ( ap @ ( ap @ ( ap @ ( c_2Eoption_2Eoption__CASE @ A_27a @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ V13x ) @ V13x ) @ ( c_2Eoption_2ESOME @ A_27a ) )
% 5.44/5.68 = V13x ) )
% 5.44/5.68 & ! [V14x: $i] :
% 5.44/5.68 ( ( mem @ V14x @ ( ty_2Eoption_2Eoption @ A_27a ) )
% 5.44/5.68 => ( ( p @ ( ap @ ( c_2Eoption_2EIS__NONE @ A_27a ) @ V14x ) )
% 5.44/5.68 => ( ( ap @ ( ap @ ( ap @ ( c_2Eoption_2Eoption__CASE @ A_27a @ A_27b ) @ V14x ) @ V0e ) @ V1f )
% 5.44/5.68 = V0e ) ) )
% 5.44/5.68 & ! [V15x: $i] :
% 5.44/5.68 ( ( mem @ V15x @ ( ty_2Eoption_2Eoption @ A_27a ) )
% 5.44/5.68 => ( ( p @ ( ap @ ( c_2Eoption_2EIS__SOME @ A_27a ) @ V15x ) )
% 5.44/5.68 => ( ( ap @ ( ap @ ( ap @ ( c_2Eoption_2Eoption__CASE @ A_27a @ A_27b ) @ V15x ) @ V0e ) @ V1f )
% 5.44/5.68 = ( ap @ V1f @ ( ap @ ( c_2Eoption_2ETHE @ A_27a ) @ V15x ) ) ) ) )
% 5.44/5.68 & ! [V16x: $i] :
% 5.44/5.68 ( ( mem @ V16x @ ( ty_2Eoption_2Eoption @ A_27a ) )
% 5.44/5.68 => ( ( p @ ( ap @ ( c_2Eoption_2EIS__SOME @ A_27a ) @ V16x ) )
% 5.44/5.68 => ( ( ap @ ( ap @ ( ap @ ( c_2Eoption_2Eoption__CASE @ A_27a @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ V16x ) @ V2e ) @ ( c_2Eoption_2ESOME @ A_27a ) )
% 5.44/5.68 = V16x ) ) )
% 5.44/5.68 & ! [V17v: $i] :
% 5.44/5.68 ( ( mem @ V17v @ A_27b )
% 5.44/5.68 => ! [V18f: $i] :
% 5.44/5.68 ( ( mem @ V18f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.68 => ( ( ap @ ( ap @ ( ap @ ( c_2Eoption_2Eoption__CASE @ A_27a @ A_27b ) @ ( c_2Eoption_2ENONE @ A_27a ) ) @ V17v ) @ V18f )
% 5.44/5.68 = V17v ) ) )
% 5.44/5.68 & ! [V19x: $i] :
% 5.44/5.68 ( ( mem @ V19x @ A_27a )
% 5.44/5.68 => ! [V20v: $i] :
% 5.44/5.68 ( ( mem @ V20v @ A_27b )
% 5.44/5.68 => ! [V21f: $i] :
% 5.44/5.68 ( ( mem @ V21f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.68 => ( ( ap @ ( ap @ ( ap @ ( c_2Eoption_2Eoption__CASE @ A_27a @ A_27b ) @ ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V19x ) ) @ V20v ) @ V21f )
% 5.44/5.68 = ( ap @ V21f @ V19x ) ) ) ) )
% 5.44/5.68 & ! [V22f: $i] :
% 5.44/5.68 ( ( mem @ V22f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.68 => ! [V23x: $i] :
% 5.44/5.68 ( ( mem @ V23x @ A_27a )
% 5.44/5.68 => ( ( ap @ ( ap @ ( c_2Eoption_2EOPTION__MAP @ A_27a @ A_27b ) @ V22f ) @ ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V23x ) )
% 5.44/5.68 = ( ap @ ( c_2Eoption_2ESOME @ A_27b ) @ ( ap @ V22f @ V23x ) ) ) ) )
% 5.44/5.68 & ! [V24f: $i] :
% 5.44/5.68 ( ( mem @ V24f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.68 => ( ( ap @ ( ap @ ( c_2Eoption_2EOPTION__MAP @ A_27a @ A_27b ) @ V24f ) @ ( c_2Eoption_2ENONE @ A_27a ) )
% 5.44/5.68 = ( c_2Eoption_2ENONE @ A_27b ) ) )
% 5.44/5.68 & ( ( ap @ ( c_2Eoption_2EOPTION__JOIN @ A_27a ) @ ( c_2Eoption_2ENONE @ ( ty_2Eoption_2Eoption @ A_27a ) ) )
% 5.44/5.68 = ( c_2Eoption_2ENONE @ A_27a ) )
% 5.44/5.68 & ! [V25x: $i] :
% 5.44/5.68 ( ( mem @ V25x @ ( ty_2Eoption_2Eoption @ A_27a ) )
% 5.44/5.68 => ( ( ap @ ( c_2Eoption_2EOPTION__JOIN @ A_27a ) @ ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ V25x ) )
% 5.44/5.68 = V25x ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Eoption_2Eoption__case__compute,axiom,
% 5.44/5.68 ! [A_27a: del,A_27b: del,V0x: $i] :
% 5.44/5.68 ( ( mem @ V0x @ ( ty_2Eoption_2Eoption @ A_27a ) )
% 5.44/5.68 => ! [V1e: $i] :
% 5.44/5.68 ( ( mem @ V1e @ A_27b )
% 5.44/5.68 => ! [V2f: $i] :
% 5.44/5.68 ( ( mem @ V2f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.68 => ( ( ap @ ( ap @ ( ap @ ( c_2Eoption_2Eoption__CASE @ A_27a @ A_27b ) @ V0x ) @ V1e ) @ V2f )
% 5.44/5.68 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ A_27b ) @ ( ap @ ( c_2Eoption_2EIS__SOME @ A_27a ) @ V0x ) ) @ ( ap @ V2f @ ( ap @ ( c_2Eoption_2ETHE @ A_27a ) @ V0x ) ) ) @ V1e ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Eoption_2EIF__EQUALS__OPTION,axiom,
% 5.44/5.68 ! [A_27a: del,V0P: $i] :
% 5.44/5.68 ( ( mem @ V0P @ bool )
% 5.44/5.68 => ! [V1x: $i] :
% 5.44/5.68 ( ( mem @ V1x @ A_27a )
% 5.44/5.68 => ! [V2y: $i] :
% 5.44/5.68 ( ( mem @ V2y @ A_27a )
% 5.44/5.68 => ( ( ( ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ V0P ) @ ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V1x ) ) @ ( c_2Eoption_2ENONE @ A_27a ) )
% 5.44/5.68 = ( c_2Eoption_2ENONE @ A_27a ) )
% 5.44/5.68 <=> ~ ( p @ V0P ) )
% 5.44/5.68 & ( ( ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ V0P ) @ ( c_2Eoption_2ENONE @ A_27a ) ) @ ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V1x ) )
% 5.44/5.68 = ( c_2Eoption_2ENONE @ A_27a ) )
% 5.44/5.68 <=> ( p @ V0P ) )
% 5.44/5.68 & ( ( ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ V0P ) @ ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V1x ) ) @ ( c_2Eoption_2ENONE @ A_27a ) )
% 5.44/5.68 = ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V2y ) )
% 5.44/5.68 <=> ( ( p @ V0P )
% 5.44/5.68 & ( V1x = V2y ) ) )
% 5.44/5.68 & ( ( ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ V0P ) @ ( c_2Eoption_2ENONE @ A_27a ) ) @ ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V1x ) )
% 5.44/5.68 = ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V2y ) )
% 5.44/5.68 <=> ( ~ ( p @ V0P )
% 5.44/5.68 & ( V1x = V2y ) ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Eoption_2EIF__NONE__EQUALS__OPTION,axiom,
% 5.44/5.68 ! [A_27a: del,V0P: $i] :
% 5.44/5.68 ( ( mem @ V0P @ bool )
% 5.44/5.68 => ! [V1X: $i] :
% 5.44/5.68 ( ( mem @ V1X @ ( ty_2Eoption_2Eoption @ A_27a ) )
% 5.44/5.68 => ! [V2x: $i] :
% 5.44/5.68 ( ( mem @ V2x @ A_27a )
% 5.44/5.68 => ( ( ( ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ V0P ) @ V1X ) @ ( c_2Eoption_2ENONE @ A_27a ) )
% 5.44/5.68 = ( c_2Eoption_2ENONE @ A_27a ) )
% 5.44/5.68 <=> ( ( p @ V0P )
% 5.44/5.68 => ( p @ ( ap @ ( c_2Eoption_2EIS__NONE @ A_27a ) @ V1X ) ) ) )
% 5.44/5.68 & ( ( ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ V0P ) @ ( c_2Eoption_2ENONE @ A_27a ) ) @ V1X )
% 5.44/5.68 = ( c_2Eoption_2ENONE @ A_27a ) )
% 5.44/5.68 <=> ( ( p @ ( ap @ ( c_2Eoption_2EIS__SOME @ A_27a ) @ V1X ) )
% 5.44/5.68 => ( p @ V0P ) ) )
% 5.44/5.68 & ( ( ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ V0P ) @ V1X ) @ ( c_2Eoption_2ENONE @ A_27a ) )
% 5.44/5.68 = ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V2x ) )
% 5.44/5.68 <=> ( ( p @ V0P )
% 5.44/5.68 & ( V1X
% 5.44/5.68 = ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V2x ) ) ) )
% 5.44/5.68 & ( ( ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ V0P ) @ ( c_2Eoption_2ENONE @ A_27a ) ) @ V1X )
% 5.44/5.68 = ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V2x ) )
% 5.44/5.68 <=> ( ~ ( p @ V0P )
% 5.44/5.68 & ( V1X
% 5.44/5.68 = ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V2x ) ) ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Eoption_2EOPTION__MAP__EQ__SOME,axiom,
% 5.44/5.68 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.68 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.68 => ! [V1x: $i] :
% 5.44/5.68 ( ( mem @ V1x @ ( ty_2Eoption_2Eoption @ A_27a ) )
% 5.44/5.68 => ! [V2y: $i] :
% 5.44/5.68 ( ( mem @ V2y @ A_27b )
% 5.44/5.68 => ( ( ( ap @ ( ap @ ( c_2Eoption_2EOPTION__MAP @ A_27a @ A_27b ) @ V0f ) @ V1x )
% 5.44/5.68 = ( ap @ ( c_2Eoption_2ESOME @ A_27b ) @ V2y ) )
% 5.44/5.68 <=> ? [V3z: $i] :
% 5.44/5.68 ( ( mem @ V3z @ A_27a )
% 5.44/5.68 & ( V1x
% 5.44/5.68 = ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V3z ) )
% 5.44/5.68 & ( V2y
% 5.44/5.68 = ( ap @ V0f @ V3z ) ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Eoption_2EOPTION__MAP__EQ__NONE,axiom,
% 5.44/5.68 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.68 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.68 => ! [V1x: $i] :
% 5.44/5.68 ( ( mem @ V1x @ ( ty_2Eoption_2Eoption @ A_27a ) )
% 5.44/5.68 => ( ( ( ap @ ( ap @ ( c_2Eoption_2EOPTION__MAP @ A_27a @ A_27b ) @ V0f ) @ V1x )
% 5.44/5.68 = ( c_2Eoption_2ENONE @ A_27b ) )
% 5.44/5.68 <=> ( V1x
% 5.44/5.68 = ( c_2Eoption_2ENONE @ A_27a ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Eoption_2EOPTION__MAP__EQ__NONE__both__ways,axiom,
% 5.44/5.68 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.68 ( ( mem @ V0f @ ( arr @ A_27b @ A_27a ) )
% 5.44/5.68 => ! [V1x: $i] :
% 5.44/5.68 ( ( mem @ V1x @ ( ty_2Eoption_2Eoption @ A_27b ) )
% 5.44/5.68 => ( ( ( ( ap @ ( ap @ ( c_2Eoption_2EOPTION__MAP @ A_27b @ A_27a ) @ V0f ) @ V1x )
% 5.44/5.68 = ( c_2Eoption_2ENONE @ A_27a ) )
% 5.44/5.68 <=> ( V1x
% 5.44/5.68 = ( c_2Eoption_2ENONE @ A_27b ) ) )
% 5.44/5.68 & ( ( ( c_2Eoption_2ENONE @ A_27a )
% 5.44/5.68 = ( ap @ ( ap @ ( c_2Eoption_2EOPTION__MAP @ A_27b @ A_27a ) @ V0f ) @ V1x ) )
% 5.44/5.68 <=> ( V1x
% 5.44/5.68 = ( c_2Eoption_2ENONE @ A_27b ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Eoption_2EOPTION__MAP__COMPOSE,axiom,
% 5.44/5.68 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.44/5.68 ( ( mem @ V0f @ ( arr @ A_27c @ A_27b ) )
% 5.44/5.68 => ! [V1g: $i] :
% 5.44/5.68 ( ( mem @ V1g @ ( arr @ A_27a @ A_27c ) )
% 5.44/5.68 => ! [V2x: $i] :
% 5.44/5.68 ( ( mem @ V2x @ ( ty_2Eoption_2Eoption @ A_27a ) )
% 5.44/5.68 => ( ( ap @ ( ap @ ( c_2Eoption_2EOPTION__MAP @ A_27c @ A_27b ) @ V0f ) @ ( ap @ ( ap @ ( c_2Eoption_2EOPTION__MAP @ A_27a @ A_27c ) @ V1g ) @ V2x ) )
% 5.44/5.68 = ( ap @ ( ap @ ( c_2Eoption_2EOPTION__MAP @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27a @ A_27b @ A_27c ) @ V0f ) @ V1g ) ) @ V2x ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Eoption_2EOPTION__MAP__CONG,axiom,
% 5.44/5.68 ! [A_27a: del,A_27b: del,V0opt1: $i] :
% 5.44/5.68 ( ( mem @ V0opt1 @ ( ty_2Eoption_2Eoption @ A_27a ) )
% 5.44/5.68 => ! [V1opt2: $i] :
% 5.44/5.68 ( ( mem @ V1opt2 @ ( ty_2Eoption_2Eoption @ A_27a ) )
% 5.44/5.68 => ! [V2f1: $i] :
% 5.44/5.68 ( ( mem @ V2f1 @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.68 => ! [V3f2: $i] :
% 5.44/5.68 ( ( mem @ V3f2 @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.68 => ( ( ( V0opt1 = V1opt2 )
% 5.44/5.68 & ! [V4x: $i] :
% 5.44/5.68 ( ( mem @ V4x @ A_27a )
% 5.44/5.68 => ( ( V1opt2
% 5.44/5.68 = ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V4x ) )
% 5.44/5.68 => ( ( ap @ V2f1 @ V4x )
% 5.44/5.68 = ( ap @ V3f2 @ V4x ) ) ) ) )
% 5.44/5.68 => ( ( ap @ ( ap @ ( c_2Eoption_2EOPTION__MAP @ A_27a @ A_27b ) @ V2f1 ) @ V0opt1 )
% 5.44/5.68 = ( ap @ ( ap @ ( c_2Eoption_2EOPTION__MAP @ A_27a @ A_27b ) @ V3f2 ) @ V1opt2 ) ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Eoption_2EIS__SOME__MAP,axiom,
% 5.44/5.68 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.68 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.68 => ! [V1x: $i] :
% 5.44/5.68 ( ( mem @ V1x @ ( ty_2Eoption_2Eoption @ A_27a ) )
% 5.44/5.68 => ( ( p @ ( ap @ ( c_2Eoption_2EIS__SOME @ A_27b ) @ ( ap @ ( ap @ ( c_2Eoption_2EOPTION__MAP @ A_27a @ A_27b ) @ V0f ) @ V1x ) ) )
% 5.44/5.68 <=> ( p @ ( ap @ ( c_2Eoption_2EIS__SOME @ A_27a ) @ V1x ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Eoption_2EOPTION__JOIN__EQ__SOME,axiom,
% 5.44/5.68 ! [A_27a: del,V0x: $i] :
% 5.44/5.68 ( ( mem @ V0x @ ( ty_2Eoption_2Eoption @ ( ty_2Eoption_2Eoption @ A_27a ) ) )
% 5.44/5.68 => ! [V1y: $i] :
% 5.44/5.68 ( ( mem @ V1y @ A_27a )
% 5.44/5.68 => ( ( ( ap @ ( c_2Eoption_2EOPTION__JOIN @ A_27a ) @ V0x )
% 5.44/5.68 = ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V1y ) )
% 5.44/5.68 <=> ( V0x
% 5.44/5.68 = ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V1y ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Eoption_2EOPTION__MAP2__SOME,axiom,
% 5.44/5.68 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.44/5.68 ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27b @ A_27c ) ) )
% 5.44/5.68 => ! [V1o1: $i] :
% 5.44/5.68 ( ( mem @ V1o1 @ ( ty_2Eoption_2Eoption @ A_27a ) )
% 5.44/5.68 => ! [V2o2: $i] :
% 5.44/5.68 ( ( mem @ V2o2 @ ( ty_2Eoption_2Eoption @ A_27b ) )
% 5.44/5.68 => ! [V3v: $i] :
% 5.44/5.68 ( ( mem @ V3v @ A_27c )
% 5.44/5.68 => ( ( ( ap @ ( ap @ ( ap @ ( c_2Eoption_2EOPTION__MAP2 @ A_27c @ A_27a @ A_27b ) @ V0f ) @ V1o1 ) @ V2o2 )
% 5.44/5.68 = ( ap @ ( c_2Eoption_2ESOME @ A_27c ) @ V3v ) )
% 5.44/5.68 <=> ? [V4x1: $i] :
% 5.44/5.68 ( ( mem @ V4x1 @ A_27a )
% 5.44/5.68 & ? [V5x2: $i] :
% 5.44/5.68 ( ( mem @ V5x2 @ A_27b )
% 5.44/5.68 & ( V1o1
% 5.44/5.68 = ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V4x1 ) )
% 5.44/5.68 & ( V2o2
% 5.44/5.68 = ( ap @ ( c_2Eoption_2ESOME @ A_27b ) @ V5x2 ) )
% 5.44/5.68 & ( V3v
% 5.44/5.68 = ( ap @ ( ap @ V0f @ V4x1 ) @ V5x2 ) ) ) ) ) ) ) ) ) ).
% 5.44/5.68
% 5.44/5.68 thf(conj_thm_2Eoption_2EOPTION__MAP2__NONE,axiom,
% 5.44/5.68 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.44/5.68 ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27b @ A_27c ) ) )
% 5.44/5.69 => ! [V1o1: $i] :
% 5.44/5.69 ( ( mem @ V1o1 @ ( ty_2Eoption_2Eoption @ A_27a ) )
% 5.44/5.69 => ! [V2o2: $i] :
% 5.44/5.69 ( ( mem @ V2o2 @ ( ty_2Eoption_2Eoption @ A_27b ) )
% 5.44/5.69 => ( ( ( ap @ ( ap @ ( ap @ ( c_2Eoption_2EOPTION__MAP2 @ A_27c @ A_27a @ A_27b ) @ V0f ) @ V1o1 ) @ V2o2 )
% 5.44/5.69 = ( c_2Eoption_2ENONE @ A_27c ) )
% 5.44/5.69 <=> ( ( V1o1
% 5.44/5.69 = ( c_2Eoption_2ENONE @ A_27a ) )
% 5.44/5.69 | ( V2o2
% 5.44/5.69 = ( c_2Eoption_2ENONE @ A_27b ) ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Eoption_2EOPTION__MAP2__cong,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del,A_27c: del,V0x1: $i] :
% 5.44/5.69 ( ( mem @ V0x1 @ ( ty_2Eoption_2Eoption @ A_27a ) )
% 5.44/5.69 => ! [V1x2: $i] :
% 5.44/5.69 ( ( mem @ V1x2 @ ( ty_2Eoption_2Eoption @ A_27a ) )
% 5.44/5.69 => ! [V2y1: $i] :
% 5.44/5.69 ( ( mem @ V2y1 @ ( ty_2Eoption_2Eoption @ A_27b ) )
% 5.44/5.69 => ! [V3y2: $i] :
% 5.44/5.69 ( ( mem @ V3y2 @ ( ty_2Eoption_2Eoption @ A_27b ) )
% 5.44/5.69 => ! [V4f1: $i] :
% 5.44/5.69 ( ( mem @ V4f1 @ ( arr @ A_27a @ ( arr @ A_27b @ A_27c ) ) )
% 5.44/5.69 => ! [V5f2: $i] :
% 5.44/5.69 ( ( mem @ V5f2 @ ( arr @ A_27a @ ( arr @ A_27b @ A_27c ) ) )
% 5.44/5.69 => ( ( ( V0x1 = V1x2 )
% 5.44/5.69 & ( V2y1 = V3y2 )
% 5.44/5.69 & ! [V6x: $i] :
% 5.44/5.69 ( ( mem @ V6x @ A_27a )
% 5.44/5.69 => ! [V7y: $i] :
% 5.44/5.69 ( ( mem @ V7y @ A_27b )
% 5.44/5.69 => ( ( ( V1x2
% 5.44/5.69 = ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V6x ) )
% 5.44/5.69 & ( V3y2
% 5.44/5.69 = ( ap @ ( c_2Eoption_2ESOME @ A_27b ) @ V7y ) ) )
% 5.44/5.69 => ( ( ap @ ( ap @ V4f1 @ V6x ) @ V7y )
% 5.44/5.69 = ( ap @ ( ap @ V5f2 @ V6x ) @ V7y ) ) ) ) ) )
% 5.44/5.69 => ( ( ap @ ( ap @ ( ap @ ( c_2Eoption_2EOPTION__MAP2 @ A_27c @ A_27a @ A_27b ) @ V4f1 ) @ V0x1 ) @ V2y1 )
% 5.44/5.69 = ( ap @ ( ap @ ( ap @ ( c_2Eoption_2EOPTION__MAP2 @ A_27c @ A_27a @ A_27b ) @ V5f2 ) @ V1x2 ) @ V3y2 ) ) ) ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Eoption_2EOPTION__MAP__CASE,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.69 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.69 => ! [V1x: $i] :
% 5.44/5.69 ( ( mem @ V1x @ ( ty_2Eoption_2Eoption @ A_27a ) )
% 5.44/5.69 => ( ( ap @ ( ap @ ( c_2Eoption_2EOPTION__MAP @ A_27a @ A_27b ) @ V0f ) @ V1x )
% 5.44/5.69 = ( ap @ ( ap @ ( ap @ ( c_2Eoption_2Eoption__CASE @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) @ V1x ) @ ( c_2Eoption_2ENONE @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) @ A_27b ) @ ( c_2Eoption_2ESOME @ A_27b ) ) @ V0f ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(ax_thm_2Eoption_2EOPTION__BIND__def,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del] :
% 5.44/5.69 ( ! [V0f: $i] :
% 5.44/5.69 ( ( mem @ V0f @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27a ) ) )
% 5.44/5.69 => ( ( ap @ ( ap @ ( c_2Eoption_2EOPTION__BIND @ A_27a @ A_27b ) @ ( c_2Eoption_2ENONE @ A_27b ) ) @ V0f )
% 5.44/5.69 = ( c_2Eoption_2ENONE @ A_27a ) ) )
% 5.44/5.69 & ! [V1x: $i] :
% 5.44/5.69 ( ( mem @ V1x @ A_27b )
% 5.44/5.69 => ! [V2f: $i] :
% 5.44/5.69 ( ( mem @ V2f @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27a ) ) )
% 5.44/5.69 => ( ( ap @ ( ap @ ( c_2Eoption_2EOPTION__BIND @ A_27a @ A_27b ) @ ( ap @ ( c_2Eoption_2ESOME @ A_27b ) @ V1x ) ) @ V2f )
% 5.44/5.69 = ( ap @ V2f @ V1x ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Eoption_2EOPTION__BIND__cong,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del,V0o1: $i] :
% 5.44/5.69 ( ( mem @ V0o1 @ ( ty_2Eoption_2Eoption @ A_27a ) )
% 5.44/5.69 => ! [V1o2: $i] :
% 5.44/5.69 ( ( mem @ V1o2 @ ( ty_2Eoption_2Eoption @ A_27a ) )
% 5.44/5.69 => ! [V2f1: $i] :
% 5.44/5.69 ( ( mem @ V2f1 @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) )
% 5.44/5.69 => ! [V3f2: $i] :
% 5.44/5.69 ( ( mem @ V3f2 @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) )
% 5.44/5.69 => ( ( ( V0o1 = V1o2 )
% 5.44/5.69 & ! [V4x: $i] :
% 5.44/5.69 ( ( mem @ V4x @ A_27a )
% 5.44/5.69 => ( ( V1o2
% 5.44/5.69 = ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V4x ) )
% 5.44/5.69 => ( ( ap @ V2f1 @ V4x )
% 5.44/5.69 = ( ap @ V3f2 @ V4x ) ) ) ) )
% 5.44/5.69 => ( ( ap @ ( ap @ ( c_2Eoption_2EOPTION__BIND @ A_27b @ A_27a ) @ V0o1 ) @ V2f1 )
% 5.44/5.69 = ( ap @ ( ap @ ( c_2Eoption_2EOPTION__BIND @ A_27b @ A_27a ) @ V1o2 ) @ V3f2 ) ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Eoption_2EOPTION__BIND__EQUALS__OPTION,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del,V0p: $i] :
% 5.44/5.69 ( ( mem @ V0p @ ( ty_2Eoption_2Eoption @ A_27a ) )
% 5.44/5.69 => ! [V1f: $i] :
% 5.44/5.69 ( ( mem @ V1f @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) )
% 5.44/5.69 => ! [V2y: $i] :
% 5.44/5.69 ( ( mem @ V2y @ A_27b )
% 5.44/5.69 => ( ( ( ( ap @ ( ap @ ( c_2Eoption_2EOPTION__BIND @ A_27b @ A_27a ) @ V0p ) @ V1f )
% 5.44/5.69 = ( c_2Eoption_2ENONE @ A_27b ) )
% 5.44/5.69 <=> ( ( V0p
% 5.44/5.69 = ( c_2Eoption_2ENONE @ A_27a ) )
% 5.44/5.69 | ? [V3x: $i] :
% 5.44/5.69 ( ( mem @ V3x @ A_27a )
% 5.44/5.69 & ( V0p
% 5.44/5.69 = ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V3x ) )
% 5.44/5.69 & ( ( ap @ V1f @ V3x )
% 5.44/5.69 = ( c_2Eoption_2ENONE @ A_27b ) ) ) ) )
% 5.44/5.69 & ( ( ( ap @ ( ap @ ( c_2Eoption_2EOPTION__BIND @ A_27b @ A_27a ) @ V0p ) @ V1f )
% 5.44/5.69 = ( ap @ ( c_2Eoption_2ESOME @ A_27b ) @ V2y ) )
% 5.44/5.69 <=> ? [V4x: $i] :
% 5.44/5.69 ( ( mem @ V4x @ A_27a )
% 5.44/5.69 & ( V0p
% 5.44/5.69 = ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V4x ) )
% 5.44/5.69 & ( ( ap @ V1f @ V4x )
% 5.44/5.69 = ( ap @ ( c_2Eoption_2ESOME @ A_27b ) @ V2y ) ) ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Eoption_2EIS__SOME__BIND,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del,V0x: $i] :
% 5.44/5.69 ( ( mem @ V0x @ ( ty_2Eoption_2Eoption @ A_27a ) )
% 5.44/5.69 => ! [V1g: $i] :
% 5.44/5.69 ( ( mem @ V1g @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) )
% 5.44/5.69 => ( ( p @ ( ap @ ( c_2Eoption_2EIS__SOME @ A_27b ) @ ( ap @ ( ap @ ( c_2Eoption_2EOPTION__BIND @ A_27b @ A_27a ) @ V0x ) @ V1g ) ) )
% 5.44/5.69 => ( p @ ( ap @ ( c_2Eoption_2EIS__SOME @ A_27a ) @ V0x ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(ax_thm_2Eoption_2EOPTION__IGNORE__BIND__def,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del,V0m1: $i] :
% 5.44/5.69 ( ( mem @ V0m1 @ ( ty_2Eoption_2Eoption @ A_27b ) )
% 5.44/5.69 => ! [V1m2: $i] :
% 5.44/5.69 ( ( mem @ V1m2 @ ( ty_2Eoption_2Eoption @ A_27a ) )
% 5.44/5.69 => ( ( ap @ ( ap @ ( c_2Eoption_2EOPTION__IGNORE__BIND @ A_27a @ A_27b ) @ V0m1 ) @ V1m2 )
% 5.44/5.69 = ( ap @ ( ap @ ( c_2Eoption_2EOPTION__BIND @ A_27a @ A_27b ) @ V0m1 ) @ ( ap @ ( c_2Ecombin_2EK @ ( ty_2Eoption_2Eoption @ A_27a ) @ A_27b ) @ V1m2 ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Eoption_2EOPTION__IGNORE__BIND__thm,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del,A_27c: del,V0m: $i] :
% 5.44/5.69 ( ( mem @ V0m @ ( ty_2Eoption_2Eoption @ A_27a ) )
% 5.44/5.69 => ! [V1v: $i] :
% 5.44/5.69 ( ( mem @ V1v @ A_27c )
% 5.44/5.69 => ( ( ( ap @ ( ap @ ( c_2Eoption_2EOPTION__IGNORE__BIND @ A_27a @ A_27b ) @ ( c_2Eoption_2ENONE @ A_27b ) ) @ V0m )
% 5.44/5.69 = ( c_2Eoption_2ENONE @ A_27a ) )
% 5.44/5.69 & ( ( ap @ ( ap @ ( c_2Eoption_2EOPTION__IGNORE__BIND @ A_27a @ A_27c ) @ ( ap @ ( c_2Eoption_2ESOME @ A_27c ) @ V1v ) ) @ V0m )
% 5.44/5.69 = V0m ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Eoption_2EOPTION__IGNORE__BIND__EQUALS__OPTION,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del,V0m1: $i] :
% 5.44/5.69 ( ( mem @ V0m1 @ ( ty_2Eoption_2Eoption @ A_27a ) )
% 5.44/5.69 => ! [V1m2: $i] :
% 5.44/5.69 ( ( mem @ V1m2 @ ( ty_2Eoption_2Eoption @ A_27b ) )
% 5.44/5.69 => ! [V2y: $i] :
% 5.44/5.69 ( ( mem @ V2y @ A_27b )
% 5.44/5.69 => ( ( ( ( ap @ ( ap @ ( c_2Eoption_2EOPTION__IGNORE__BIND @ A_27b @ A_27a ) @ V0m1 ) @ V1m2 )
% 5.44/5.69 = ( c_2Eoption_2ENONE @ A_27b ) )
% 5.44/5.69 <=> ( ( V0m1
% 5.44/5.69 = ( c_2Eoption_2ENONE @ A_27a ) )
% 5.44/5.69 | ( V1m2
% 5.44/5.69 = ( c_2Eoption_2ENONE @ A_27b ) ) ) )
% 5.44/5.69 & ( ( ( ap @ ( ap @ ( c_2Eoption_2EOPTION__IGNORE__BIND @ A_27b @ A_27a ) @ V0m1 ) @ V1m2 )
% 5.44/5.69 = ( ap @ ( c_2Eoption_2ESOME @ A_27b ) @ V2y ) )
% 5.44/5.69 <=> ? [V3x: $i] :
% 5.44/5.69 ( ( mem @ V3x @ A_27a )
% 5.44/5.69 & ( V0m1
% 5.44/5.69 = ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V3x ) )
% 5.44/5.69 & ( V1m2
% 5.44/5.69 = ( ap @ ( c_2Eoption_2ESOME @ A_27b ) @ V2y ) ) ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(ax_thm_2Eoption_2EOPTION__GUARD__def,axiom,
% 5.44/5.69 ( ( ( surj__c_ty_2Eoption_2Eoption_ty_2Eone_2Eone @ ( ap @ c_2Eoption_2EOPTION__GUARD @ c_2Ebool_2ET ) )
% 5.44/5.69 = ( surj__c_ty_2Eoption_2Eoption_ty_2Eone_2Eone @ ( ap @ ( c_2Eoption_2ESOME @ ty_2Eone_2Eone ) @ ( inj__ty_2Eone_2Eone @ fo__c_2Eone_2Eone ) ) ) )
% 5.44/5.69 & ( ( surj__c_ty_2Eoption_2Eoption_ty_2Eone_2Eone @ ( ap @ c_2Eoption_2EOPTION__GUARD @ c_2Ebool_2EF ) )
% 5.44/5.69 = ( surj__c_ty_2Eoption_2Eoption_ty_2Eone_2Eone @ ( c_2Eoption_2ENONE @ ty_2Eone_2Eone ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Eoption_2EOPTION__GUARD__COND,axiom,
% 5.44/5.69 ! [V0b: $i] :
% 5.44/5.69 ( ( mem @ V0b @ bool )
% 5.44/5.69 => ( ( surj__c_ty_2Eoption_2Eoption_ty_2Eone_2Eone @ ( ap @ c_2Eoption_2EOPTION__GUARD @ V0b ) )
% 5.44/5.69 = ( surj__c_ty_2Eoption_2Eoption_ty_2Eone_2Eone @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Eoption_2Eoption @ ty_2Eone_2Eone ) ) @ V0b ) @ ( ap @ ( c_2Eoption_2ESOME @ ty_2Eone_2Eone ) @ ( inj__ty_2Eone_2Eone @ fo__c_2Eone_2Eone ) ) ) @ ( c_2Eoption_2ENONE @ ty_2Eone_2Eone ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Eoption_2EOPTION__GUARD__EQ__THM,axiom,
% 5.44/5.69 ! [V0b: $i] :
% 5.44/5.69 ( ( mem @ V0b @ bool )
% 5.44/5.69 => ( ( ( ( surj__c_ty_2Eoption_2Eoption_ty_2Eone_2Eone @ ( ap @ c_2Eoption_2EOPTION__GUARD @ V0b ) )
% 5.44/5.69 = ( surj__c_ty_2Eoption_2Eoption_ty_2Eone_2Eone @ ( ap @ ( c_2Eoption_2ESOME @ ty_2Eone_2Eone ) @ ( inj__ty_2Eone_2Eone @ fo__c_2Eone_2Eone ) ) ) )
% 5.44/5.69 <=> ( p @ V0b ) )
% 5.44/5.69 & ( ( ( surj__c_ty_2Eoption_2Eoption_ty_2Eone_2Eone @ ( ap @ c_2Eoption_2EOPTION__GUARD @ V0b ) )
% 5.44/5.69 = ( surj__c_ty_2Eoption_2Eoption_ty_2Eone_2Eone @ ( c_2Eoption_2ENONE @ ty_2Eone_2Eone ) ) )
% 5.44/5.69 <=> ~ ( p @ V0b ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(ax_thm_2Eoption_2EOPTION__CHOICE__def,axiom,
% 5.44/5.69 ! [A_27a: del] :
% 5.44/5.69 ( ! [V0m2: $i] :
% 5.44/5.69 ( ( mem @ V0m2 @ ( ty_2Eoption_2Eoption @ A_27a ) )
% 5.44/5.69 => ( ( ap @ ( ap @ ( c_2Eoption_2EOPTION__CHOICE @ A_27a ) @ ( c_2Eoption_2ENONE @ A_27a ) ) @ V0m2 )
% 5.44/5.69 = V0m2 ) )
% 5.44/5.69 & ! [V1x: $i] :
% 5.44/5.69 ( ( mem @ V1x @ A_27a )
% 5.44/5.69 => ! [V2m2: $i] :
% 5.44/5.69 ( ( mem @ V2m2 @ ( ty_2Eoption_2Eoption @ A_27a ) )
% 5.44/5.69 => ( ( ap @ ( ap @ ( c_2Eoption_2EOPTION__CHOICE @ A_27a ) @ ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V1x ) ) @ V2m2 )
% 5.44/5.69 = ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V1x ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Eoption_2EOPTION__CHOICE__EQ__NONE,axiom,
% 5.44/5.69 ! [A_27a: del,V0m1: $i] :
% 5.44/5.69 ( ( mem @ V0m1 @ ( ty_2Eoption_2Eoption @ A_27a ) )
% 5.44/5.69 => ! [V1m2: $i] :
% 5.44/5.69 ( ( mem @ V1m2 @ ( ty_2Eoption_2Eoption @ A_27a ) )
% 5.44/5.69 => ( ( ( ap @ ( ap @ ( c_2Eoption_2EOPTION__CHOICE @ A_27a ) @ V0m1 ) @ V1m2 )
% 5.44/5.69 = ( c_2Eoption_2ENONE @ A_27a ) )
% 5.44/5.69 <=> ( ( V0m1
% 5.44/5.69 = ( c_2Eoption_2ENONE @ A_27a ) )
% 5.44/5.69 & ( V1m2
% 5.44/5.69 = ( c_2Eoption_2ENONE @ A_27a ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Eoption_2EOPTION__CHOICE__NONE,axiom,
% 5.44/5.69 ! [A_27a: del,V0m1: $i] :
% 5.44/5.69 ( ( mem @ V0m1 @ ( ty_2Eoption_2Eoption @ A_27a ) )
% 5.44/5.69 => ( ( ap @ ( ap @ ( c_2Eoption_2EOPTION__CHOICE @ A_27a ) @ V0m1 ) @ ( c_2Eoption_2ENONE @ A_27a ) )
% 5.44/5.69 = V0m1 ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(ax_thm_2Eoption_2EOPTION__MCOMP__def,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del,A_27c: del,V0g: $i] :
% 5.44/5.69 ( ( mem @ V0g @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27a ) ) )
% 5.44/5.69 => ! [V1f: $i] :
% 5.44/5.69 ( ( mem @ V1f @ ( arr @ A_27c @ ( ty_2Eoption_2Eoption @ A_27b ) ) )
% 5.44/5.69 => ! [V2m: $i] :
% 5.44/5.69 ( ( mem @ V2m @ A_27c )
% 5.44/5.69 => ( ( ap @ ( ap @ ( ap @ ( c_2Eoption_2EOPTION__MCOMP @ A_27a @ A_27b @ A_27c ) @ V0g ) @ V1f ) @ V2m )
% 5.44/5.69 = ( ap @ ( ap @ ( c_2Eoption_2EOPTION__BIND @ A_27a @ A_27b ) @ ( ap @ V1f @ V2m ) ) @ V0g ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Eoption_2EOPTION__MCOMP__ASSOC,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0f: $i] :
% 5.44/5.69 ( ( mem @ V0f @ ( arr @ A_27d @ ( ty_2Eoption_2Eoption @ A_27c ) ) )
% 5.44/5.69 => ! [V1g: $i] :
% 5.44/5.69 ( ( mem @ V1g @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27d ) ) )
% 5.44/5.69 => ! [V2h: $i] :
% 5.44/5.69 ( ( mem @ V2h @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) )
% 5.44/5.69 => ( ( ap @ ( ap @ ( c_2Eoption_2EOPTION__MCOMP @ A_27c @ A_27d @ A_27a ) @ V0f ) @ ( ap @ ( ap @ ( c_2Eoption_2EOPTION__MCOMP @ A_27d @ A_27b @ A_27a ) @ V1g ) @ V2h ) )
% 5.44/5.69 = ( ap @ ( ap @ ( c_2Eoption_2EOPTION__MCOMP @ A_27c @ A_27b @ A_27a ) @ ( ap @ ( ap @ ( c_2Eoption_2EOPTION__MCOMP @ A_27c @ A_27d @ A_27b ) @ V0f ) @ V1g ) ) @ V2h ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Eoption_2EOPTION__MCOMP__ID,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0g: $i] :
% 5.44/5.69 ( ( mem @ V0g @ ( arr @ A_27c @ ( ty_2Eoption_2Eoption @ A_27d ) ) )
% 5.44/5.69 => ! [V1f: $i] :
% 5.44/5.69 ( ( mem @ V1f @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) )
% 5.44/5.69 => ( ( ( ap @ ( ap @ ( c_2Eoption_2EOPTION__MCOMP @ A_27d @ A_27c @ A_27c ) @ V0g ) @ ( c_2Eoption_2ESOME @ A_27c ) )
% 5.44/5.69 = V0g )
% 5.44/5.69 & ( ( ap @ ( ap @ ( c_2Eoption_2EOPTION__MCOMP @ A_27b @ A_27b @ A_27a ) @ ( c_2Eoption_2ESOME @ A_27b ) ) @ V1f )
% 5.44/5.69 = V1f ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(ax_thm_2Eoption_2EOPTION__APPLY__def,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del] :
% 5.44/5.69 ( ! [V0x: $i] :
% 5.44/5.69 ( ( mem @ V0x @ ( ty_2Eoption_2Eoption @ A_27b ) )
% 5.44/5.69 => ( ( ap @ ( ap @ ( c_2Eoption_2EOPTION__APPLY @ A_27a @ A_27b ) @ ( c_2Eoption_2ENONE @ ( arr @ A_27b @ A_27a ) ) ) @ V0x )
% 5.44/5.69 = ( c_2Eoption_2ENONE @ A_27a ) ) )
% 5.44/5.69 & ! [V1f: $i] :
% 5.44/5.69 ( ( mem @ V1f @ ( arr @ A_27b @ A_27a ) )
% 5.44/5.69 => ! [V2x: $i] :
% 5.44/5.69 ( ( mem @ V2x @ ( ty_2Eoption_2Eoption @ A_27b ) )
% 5.44/5.69 => ( ( ap @ ( ap @ ( c_2Eoption_2EOPTION__APPLY @ A_27a @ A_27b ) @ ( ap @ ( c_2Eoption_2ESOME @ ( arr @ A_27b @ A_27a ) ) @ V1f ) ) @ V2x )
% 5.44/5.69 = ( ap @ ( ap @ ( c_2Eoption_2EOPTION__MAP @ A_27b @ A_27a ) @ V1f ) @ V2x ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Eoption_2EOPTION__APPLY__MAP2,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.44/5.69 ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27b @ A_27c ) ) )
% 5.44/5.69 => ! [V1x: $i] :
% 5.44/5.69 ( ( mem @ V1x @ ( ty_2Eoption_2Eoption @ A_27a ) )
% 5.44/5.69 => ! [V2y: $i] :
% 5.44/5.69 ( ( mem @ V2y @ ( ty_2Eoption_2Eoption @ A_27b ) )
% 5.44/5.69 => ( ( ap @ ( ap @ ( c_2Eoption_2EOPTION__APPLY @ A_27c @ A_27b ) @ ( ap @ ( ap @ ( c_2Eoption_2EOPTION__MAP @ A_27a @ ( arr @ A_27b @ A_27c ) ) @ V0f ) @ V1x ) ) @ V2y )
% 5.44/5.69 = ( ap @ ( ap @ ( ap @ ( c_2Eoption_2EOPTION__MAP2 @ A_27c @ A_27a @ A_27b ) @ V0f ) @ V1x ) @ V2y ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Eoption_2ESOME__SOME__APPLY,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.69 ( ( mem @ V0f @ ( arr @ A_27b @ A_27a ) )
% 5.44/5.69 => ! [V1x: $i] :
% 5.44/5.69 ( ( mem @ V1x @ A_27b )
% 5.44/5.69 => ( ( ap @ ( ap @ ( c_2Eoption_2EOPTION__APPLY @ A_27a @ A_27b ) @ ( ap @ ( c_2Eoption_2ESOME @ ( arr @ A_27b @ A_27a ) ) @ V0f ) ) @ ( ap @ ( c_2Eoption_2ESOME @ A_27b ) @ V1x ) )
% 5.44/5.69 = ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ ( ap @ V0f @ V1x ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Eoption_2ESOME__APPLY__PERMUTE,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.69 ( ( mem @ V0f @ ( ty_2Eoption_2Eoption @ ( arr @ A_27a @ A_27b ) ) )
% 5.44/5.69 => ! [V1x: $i] :
% 5.44/5.69 ( ( mem @ V1x @ A_27a )
% 5.44/5.69 => ( ( ap @ ( ap @ ( c_2Eoption_2EOPTION__APPLY @ A_27b @ A_27a ) @ V0f ) @ ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V1x ) )
% 5.44/5.69 = ( ap
% 5.44/5.69 @ ( ap @ ( c_2Eoption_2EOPTION__APPLY @ A_27b @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.69 @ ( ap @ ( c_2Eoption_2ESOME @ ( arr @ ( arr @ A_27a @ A_27b ) @ A_27b ) )
% 5.44/5.69 @ ( lam @ ( arr @ A_27a @ A_27b )
% 5.44/5.69 @ ^ [V2f: $i] : ( ap @ V2f @ V1x ) ) ) )
% 5.44/5.69 @ V0f ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Eoption_2EOPTION__APPLY__o,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.44/5.69 ( ( mem @ V0f @ ( ty_2Eoption_2Eoption @ ( arr @ A_27b @ A_27c ) ) )
% 5.44/5.69 => ! [V1g: $i] :
% 5.44/5.69 ( ( mem @ V1g @ ( ty_2Eoption_2Eoption @ ( arr @ A_27a @ A_27b ) ) )
% 5.44/5.69 => ! [V2x: $i] :
% 5.44/5.69 ( ( mem @ V2x @ ( ty_2Eoption_2Eoption @ A_27a ) )
% 5.44/5.69 => ( ( ap @ ( ap @ ( c_2Eoption_2EOPTION__APPLY @ A_27c @ A_27a ) @ ( ap @ ( ap @ ( c_2Eoption_2EOPTION__APPLY @ ( arr @ A_27a @ A_27c ) @ ( arr @ A_27a @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Eoption_2EOPTION__APPLY @ ( arr @ ( arr @ A_27a @ A_27b ) @ ( arr @ A_27a @ A_27c ) ) @ ( arr @ A_27b @ A_27c ) ) @ ( ap @ ( c_2Eoption_2ESOME @ ( arr @ ( arr @ A_27b @ A_27c ) @ ( arr @ ( arr @ A_27a @ A_27b ) @ ( arr @ A_27a @ A_27c ) ) ) ) @ ( c_2Ecombin_2Eo @ A_27a @ A_27c @ A_27b ) ) ) @ V0f ) ) @ V1g ) ) @ V2x )
% 5.44/5.69 = ( ap @ ( ap @ ( c_2Eoption_2EOPTION__APPLY @ A_27c @ A_27b ) @ V0f ) @ ( ap @ ( ap @ ( c_2Eoption_2EOPTION__APPLY @ A_27b @ A_27a ) @ V1g ) @ V2x ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(ax_thm_2Eoption_2EOPTREL__def,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.44/5.69 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.69 => ! [V1x: $i] :
% 5.44/5.69 ( ( mem @ V1x @ ( ty_2Eoption_2Eoption @ A_27a ) )
% 5.44/5.69 => ! [V2y: $i] :
% 5.44/5.69 ( ( mem @ V2y @ ( ty_2Eoption_2Eoption @ A_27b ) )
% 5.44/5.69 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Eoption_2EOPTREL @ A_27a @ A_27b ) @ V0R ) @ V1x ) @ V2y ) )
% 5.44/5.69 <=> ( ( ( V1x
% 5.44/5.69 = ( c_2Eoption_2ENONE @ A_27a ) )
% 5.44/5.69 & ( V2y
% 5.44/5.69 = ( c_2Eoption_2ENONE @ A_27b ) ) )
% 5.44/5.69 | ? [V3x0: $i] :
% 5.44/5.69 ( ( mem @ V3x0 @ A_27a )
% 5.44/5.69 & ? [V4y0: $i] :
% 5.44/5.69 ( ( mem @ V4y0 @ A_27b )
% 5.44/5.69 & ( V1x
% 5.44/5.69 = ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V3x0 ) )
% 5.44/5.69 & ( V2y
% 5.44/5.69 = ( ap @ ( c_2Eoption_2ESOME @ A_27b ) @ V4y0 ) )
% 5.44/5.69 & ( p @ ( ap @ ( ap @ V0R @ V3x0 ) @ V4y0 ) ) ) ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Eoption_2EOPTREL__MONO,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.44/5.69 ( ( mem @ V0P @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.69 => ! [V1Q: $i] :
% 5.44/5.69 ( ( mem @ V1Q @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.69 => ! [V2x: $i] :
% 5.44/5.69 ( ( mem @ V2x @ ( ty_2Eoption_2Eoption @ A_27a ) )
% 5.44/5.69 => ! [V3y: $i] :
% 5.44/5.69 ( ( mem @ V3y @ ( ty_2Eoption_2Eoption @ A_27b ) )
% 5.44/5.69 => ( ! [V4x: $i] :
% 5.44/5.69 ( ( mem @ V4x @ A_27a )
% 5.44/5.69 => ! [V5y: $i] :
% 5.44/5.69 ( ( mem @ V5y @ A_27b )
% 5.44/5.69 => ( ( p @ ( ap @ ( ap @ V0P @ V4x ) @ V5y ) )
% 5.44/5.69 => ( p @ ( ap @ ( ap @ V1Q @ V4x ) @ V5y ) ) ) ) )
% 5.44/5.69 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Eoption_2EOPTREL @ A_27a @ A_27b ) @ V0P ) @ V2x ) @ V3y ) )
% 5.44/5.69 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Eoption_2EOPTREL @ A_27a @ A_27b ) @ V1Q ) @ V2x ) @ V3y ) ) ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Eoption_2EOPTREL__refl,axiom,
% 5.44/5.69 ! [A_27a: del,V0R: $i] :
% 5.44/5.69 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.69 => ( ! [V1x: $i] :
% 5.44/5.69 ( ( mem @ V1x @ A_27a )
% 5.44/5.69 => ( p @ ( ap @ ( ap @ V0R @ V1x ) @ V1x ) ) )
% 5.44/5.69 => ! [V2x: $i] :
% 5.44/5.69 ( ( mem @ V2x @ ( ty_2Eoption_2Eoption @ A_27a ) )
% 5.44/5.69 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Eoption_2EOPTREL @ A_27a @ A_27a ) @ V0R ) @ V2x ) @ V2x ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(ax_thm_2Eoption_2Esome__def,axiom,
% 5.44/5.69 ! [A_27a: del,V0P: $i] :
% 5.44/5.69 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.44/5.69 => ( ( ap @ ( c_2Eoption_2Esome @ A_27a ) @ V0P )
% 5.44/5.69 = ( ap
% 5.44/5.69 @ ( ap
% 5.44/5.69 @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Eoption_2Eoption @ A_27a ) )
% 5.44/5.69 @ ( ap @ ( c_2Ebool_2E_3F @ A_27a )
% 5.44/5.69 @ ( lam @ A_27a
% 5.44/5.69 @ ^ [V1x: $i] : ( ap @ V0P @ V1x ) ) ) )
% 5.44/5.69 @ ( ap @ ( c_2Eoption_2ESOME @ A_27a )
% 5.44/5.69 @ ( ap @ ( c_2Emin_2E_40 @ A_27a )
% 5.44/5.69 @ ( lam @ A_27a
% 5.44/5.69 @ ^ [V2x: $i] : ( ap @ V0P @ V2x ) ) ) ) )
% 5.44/5.69 @ ( c_2Eoption_2ENONE @ A_27a ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Eoption_2Esome__intro,axiom,
% 5.44/5.69 ! [A_27a: del,V0P: $i] :
% 5.44/5.69 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.44/5.69 => ! [V1Q: $i] :
% 5.44/5.69 ( ( mem @ V1Q @ ( arr @ ( ty_2Eoption_2Eoption @ A_27a ) @ bool ) )
% 5.44/5.69 => ( ( ! [V2x: $i] :
% 5.44/5.69 ( ( mem @ V2x @ A_27a )
% 5.44/5.69 => ( ( p @ ( ap @ V0P @ V2x ) )
% 5.44/5.69 => ( p @ ( ap @ V1Q @ ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V2x ) ) ) ) )
% 5.44/5.69 & ( ! [V3x: $i] :
% 5.44/5.69 ( ( mem @ V3x @ A_27a )
% 5.44/5.69 => ~ ( p @ ( ap @ V0P @ V3x ) ) )
% 5.44/5.69 => ( p @ ( ap @ V1Q @ ( c_2Eoption_2ENONE @ A_27a ) ) ) ) )
% 5.44/5.69 => ( p @ ( ap @ V1Q @ ( ap @ ( c_2Eoption_2Esome @ A_27a ) @ V0P ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Eoption_2Esome__elim,axiom,
% 5.44/5.69 ! [A_27a: del,V0Q: $i] :
% 5.44/5.69 ( ( mem @ V0Q @ ( arr @ ( ty_2Eoption_2Eoption @ A_27a ) @ bool ) )
% 5.44/5.69 => ! [V1P: $i] :
% 5.44/5.69 ( ( mem @ V1P @ ( arr @ A_27a @ bool ) )
% 5.44/5.69 => ( ( p @ ( ap @ V0Q @ ( ap @ ( c_2Eoption_2Esome @ A_27a ) @ V1P ) ) )
% 5.44/5.69 => ( ? [V2x: $i] :
% 5.44/5.69 ( ( mem @ V2x @ A_27a )
% 5.44/5.69 & ( p @ ( ap @ V1P @ V2x ) )
% 5.44/5.69 & ( p @ ( ap @ V0Q @ ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V2x ) ) ) )
% 5.44/5.69 | ( ! [V3x: $i] :
% 5.44/5.69 ( ( mem @ V3x @ A_27a )
% 5.44/5.69 => ~ ( p @ ( ap @ V1P @ V3x ) ) )
% 5.44/5.69 & ( p @ ( ap @ V0Q @ ( c_2Eoption_2ENONE @ A_27a ) ) ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Eoption_2Esome__F,axiom,
% 5.44/5.69 ! [A_27a: del] :
% 5.44/5.69 ( ( ap @ ( c_2Eoption_2Esome @ A_27a )
% 5.44/5.69 @ ( lam @ A_27a
% 5.44/5.69 @ ^ [V0x: $i] : c_2Ebool_2EF ) )
% 5.44/5.69 = ( c_2Eoption_2ENONE @ A_27a ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Eoption_2Esome__EQ,axiom,
% 5.44/5.69 ! [A_27a: del,V0y: $i] :
% 5.44/5.69 ( ( mem @ V0y @ A_27a )
% 5.44/5.69 => ( ( ( ap @ ( c_2Eoption_2Esome @ A_27a )
% 5.44/5.69 @ ( lam @ A_27a
% 5.44/5.69 @ ^ [V1x: $i] : ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V1x ) @ V0y ) ) )
% 5.44/5.69 = ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V0y ) )
% 5.44/5.69 & ( ( ap @ ( c_2Eoption_2Esome @ A_27a )
% 5.44/5.69 @ ( lam @ A_27a
% 5.44/5.69 @ ^ [V2x: $i] : ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V0y ) @ V2x ) ) )
% 5.44/5.69 = ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V0y ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Eoption_2Eoption__case__cong,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del,V0v_27: $i] :
% 5.44/5.69 ( ( mem @ V0v_27 @ A_27b )
% 5.44/5.69 => ! [V1f_27: $i] :
% 5.44/5.69 ( ( mem @ V1f_27 @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.69 => ! [V2M: $i] :
% 5.44/5.69 ( ( mem @ V2M @ ( ty_2Eoption_2Eoption @ A_27a ) )
% 5.44/5.69 => ! [V3M_27: $i] :
% 5.44/5.69 ( ( mem @ V3M_27 @ ( ty_2Eoption_2Eoption @ A_27a ) )
% 5.44/5.69 => ! [V4v: $i] :
% 5.44/5.69 ( ( mem @ V4v @ A_27b )
% 5.44/5.69 => ! [V5f: $i] :
% 5.44/5.69 ( ( mem @ V5f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.69 => ( ( ( V2M = V3M_27 )
% 5.44/5.69 & ( ( V3M_27
% 5.44/5.69 = ( c_2Eoption_2ENONE @ A_27a ) )
% 5.44/5.69 => ( V4v = V0v_27 ) )
% 5.44/5.69 & ! [V6x: $i] :
% 5.44/5.69 ( ( mem @ V6x @ A_27a )
% 5.44/5.69 => ( ( V3M_27
% 5.44/5.69 = ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V6x ) )
% 5.44/5.69 => ( ( ap @ V5f @ V6x )
% 5.44/5.69 = ( ap @ V1f_27 @ V6x ) ) ) ) )
% 5.44/5.69 => ( ( ap @ ( ap @ ( ap @ ( c_2Eoption_2Eoption__CASE @ A_27a @ A_27b ) @ V2M ) @ V4v ) @ V5f )
% 5.44/5.69 = ( ap @ ( ap @ ( ap @ ( c_2Eoption_2Eoption__CASE @ A_27a @ A_27b ) @ V3M_27 ) @ V0v_27 ) @ V1f_27 ) ) ) ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(ax_thm_2Eoption_2EOPTION__ALL__def,axiom,
% 5.44/5.69 ! [A_27a: del] :
% 5.44/5.69 ( ! [V0P: $i] :
% 5.44/5.69 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.44/5.69 => ( ( p @ ( ap @ ( ap @ ( c_2Eoption_2EOPTION__ALL @ A_27a ) @ V0P ) @ ( c_2Eoption_2ENONE @ A_27a ) ) )
% 5.44/5.69 <=> $true ) )
% 5.44/5.69 & ! [V1P: $i] :
% 5.44/5.69 ( ( mem @ V1P @ ( arr @ A_27a @ bool ) )
% 5.44/5.69 => ! [V2x: $i] :
% 5.44/5.69 ( ( mem @ V2x @ A_27a )
% 5.44/5.69 => ( ( p @ ( ap @ ( ap @ ( c_2Eoption_2EOPTION__ALL @ A_27a ) @ V1P ) @ ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V2x ) ) )
% 5.44/5.69 <=> ( p @ ( ap @ V1P @ V2x ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Eoption_2EOPTION__ALL__MONO,axiom,
% 5.44/5.69 ! [A_27a: del,V0P: $i] :
% 5.44/5.69 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.44/5.69 => ! [V1P_27: $i] :
% 5.44/5.69 ( ( mem @ V1P_27 @ ( arr @ A_27a @ bool ) )
% 5.44/5.69 => ! [V2opt: $i] :
% 5.44/5.69 ( ( mem @ V2opt @ ( ty_2Eoption_2Eoption @ A_27a ) )
% 5.44/5.69 => ( ! [V3x: $i] :
% 5.44/5.69 ( ( mem @ V3x @ A_27a )
% 5.44/5.69 => ( ( p @ ( ap @ V0P @ V3x ) )
% 5.44/5.69 => ( p @ ( ap @ V1P_27 @ V3x ) ) ) )
% 5.44/5.69 => ( ( p @ ( ap @ ( ap @ ( c_2Eoption_2EOPTION__ALL @ A_27a ) @ V0P ) @ V2opt ) )
% 5.44/5.69 => ( p @ ( ap @ ( ap @ ( c_2Eoption_2EOPTION__ALL @ A_27a ) @ V1P_27 ) @ V2opt ) ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Eoption_2EOPTION__ALL__CONG,axiom,
% 5.44/5.69 ! [A_27a: del,V0opt: $i] :
% 5.44/5.69 ( ( mem @ V0opt @ ( ty_2Eoption_2Eoption @ A_27a ) )
% 5.44/5.69 => ! [V1opt_27: $i] :
% 5.44/5.69 ( ( mem @ V1opt_27 @ ( ty_2Eoption_2Eoption @ A_27a ) )
% 5.44/5.69 => ! [V2P: $i] :
% 5.44/5.69 ( ( mem @ V2P @ ( arr @ A_27a @ bool ) )
% 5.44/5.69 => ! [V3P_27: $i] :
% 5.44/5.69 ( ( mem @ V3P_27 @ ( arr @ A_27a @ bool ) )
% 5.44/5.69 => ( ( ( V0opt = V1opt_27 )
% 5.44/5.69 & ! [V4x: $i] :
% 5.44/5.69 ( ( mem @ V4x @ A_27a )
% 5.44/5.69 => ( ( V1opt_27
% 5.44/5.69 = ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V4x ) )
% 5.44/5.69 => ( ( p @ ( ap @ V2P @ V4x ) )
% 5.44/5.69 <=> ( p @ ( ap @ V3P_27 @ V4x ) ) ) ) ) )
% 5.44/5.69 => ( ( p @ ( ap @ ( ap @ ( c_2Eoption_2EOPTION__ALL @ A_27a ) @ V2P ) @ V0opt ) )
% 5.44/5.69 <=> ( p @ ( ap @ ( ap @ ( c_2Eoption_2EOPTION__ALL @ A_27a ) @ V3P_27 ) @ V1opt_27 ) ) ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Eoption_2Eoption__case__eq,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del,V0opt: $i] :
% 5.44/5.69 ( ( mem @ V0opt @ ( ty_2Eoption_2Eoption @ A_27a ) )
% 5.44/5.69 => ! [V1nc: $i] :
% 5.44/5.69 ( ( mem @ V1nc @ A_27b )
% 5.44/5.69 => ! [V2sc: $i] :
% 5.44/5.69 ( ( mem @ V2sc @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.69 => ! [V3v: $i] :
% 5.44/5.69 ( ( mem @ V3v @ A_27b )
% 5.44/5.69 => ( ( ( ap @ ( ap @ ( ap @ ( c_2Eoption_2Eoption__CASE @ A_27a @ A_27b ) @ V0opt ) @ V1nc ) @ V2sc )
% 5.44/5.69 = V3v )
% 5.44/5.69 <=> ( ( ( V0opt
% 5.44/5.69 = ( c_2Eoption_2ENONE @ A_27a ) )
% 5.44/5.69 & ( V1nc = V3v ) )
% 5.44/5.69 | ? [V4x: $i] :
% 5.44/5.69 ( ( mem @ V4x @ A_27a )
% 5.44/5.69 & ( V0opt
% 5.44/5.69 = ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V4x ) )
% 5.44/5.69 & ( ( ap @ V2sc @ V4x )
% 5.44/5.69 = V3v ) ) ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Eoption_2Eoption__Induct,axiom,
% 5.44/5.69 ! [A_27a: del,V0P: $i] :
% 5.44/5.69 ( ( mem @ V0P @ ( arr @ ( ty_2Eoption_2Eoption @ A_27a ) @ bool ) )
% 5.44/5.69 => ( ( ! [V1a: $i] :
% 5.44/5.69 ( ( mem @ V1a @ A_27a )
% 5.44/5.69 => ( p @ ( ap @ V0P @ ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V1a ) ) ) )
% 5.44/5.69 & ( p @ ( ap @ V0P @ ( c_2Eoption_2ENONE @ A_27a ) ) ) )
% 5.44/5.69 => ! [V2x: $i] :
% 5.44/5.69 ( ( mem @ V2x @ ( ty_2Eoption_2Eoption @ A_27a ) )
% 5.44/5.69 => ( p @ ( ap @ V0P @ V2x ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Eoption_2Eoption__CASES,axiom,
% 5.44/5.69 ! [A_27a: del,V0opt: $i] :
% 5.44/5.69 ( ( mem @ V0opt @ ( ty_2Eoption_2Eoption @ A_27a ) )
% 5.44/5.69 => ( ? [V1x: $i] :
% 5.44/5.69 ( ( mem @ V1x @ A_27a )
% 5.44/5.69 & ( V0opt
% 5.44/5.69 = ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V1x ) ) )
% 5.44/5.69 | ( V0opt
% 5.44/5.69 = ( c_2Eoption_2ENONE @ A_27a ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Eoption_2Edatatype__option,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del,V0option: $i] :
% 5.44/5.69 ( ( mem @ V0option @ ( arr @ ( ty_2Eoption_2Eoption @ A_27a ) @ ( arr @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ A_27b ) ) )
% 5.44/5.69 => ( p @ ( ap @ ( c_2Ebool_2EDATATYPE @ A_27b ) @ ( ap @ ( ap @ V0option @ ( c_2Eoption_2ENONE @ A_27a ) ) @ ( c_2Eoption_2ESOME @ A_27a ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 %------------------------------------------------------------------------------
% 5.44/5.69 %------------------------------------------------------------------------------
% 5.44/5.69 thf(tp_ty_2Epair_2Eprod,type,
% 5.44/5.69 ty_2Epair_2Eprod: del > del > del ).
% 5.44/5.69
% 5.44/5.69 thf(tp_c_2Epair_2E_23_23,type,
% 5.44/5.69 c_2Epair_2E_23_23: del > del > del > del > $i ).
% 5.44/5.69
% 5.44/5.69 thf(mem_c_2Epair_2E_23_23,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del] : ( mem @ ( c_2Epair_2E_23_23 @ A_27a @ A_27b @ A_27c @ A_27d ) @ ( arr @ ( arr @ A_27a @ A_27c ) @ ( arr @ ( arr @ A_27b @ A_27d ) @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ ( ty_2Epair_2Eprod @ A_27c @ A_27d ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(tp_c_2Epair_2E_2C,type,
% 5.44/5.69 c_2Epair_2E_2C: del > del > $i ).
% 5.44/5.69
% 5.44/5.69 thf(mem_c_2Epair_2E_2C,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ ( arr @ A_27a @ ( arr @ A_27b @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(tp_c_2Epair_2EABS__prod,type,
% 5.44/5.69 c_2Epair_2EABS__prod: del > del > $i ).
% 5.44/5.69
% 5.44/5.69 thf(mem_c_2Epair_2EABS__prod,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Epair_2EABS__prod @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(tp_c_2Epair_2ECURRY,type,
% 5.44/5.69 c_2Epair_2ECURRY: del > del > del > $i ).
% 5.44/5.69
% 5.44/5.69 thf(mem_c_2Epair_2ECURRY,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del,A_27c: del] : ( mem @ ( c_2Epair_2ECURRY @ A_27a @ A_27b @ A_27c ) @ ( arr @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ A_27c ) @ ( arr @ A_27a @ ( arr @ A_27b @ A_27c ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(tp_c_2Epair_2EFST,type,
% 5.44/5.69 c_2Epair_2EFST: del > del > $i ).
% 5.44/5.69
% 5.44/5.69 thf(mem_c_2Epair_2EFST,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Epair_2EFST @ A_27a @ A_27b ) @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ A_27a ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(tp_c_2Epair_2ELEX,type,
% 5.44/5.69 c_2Epair_2ELEX: del > del > $i ).
% 5.44/5.69
% 5.44/5.69 thf(mem_c_2Epair_2ELEX,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Epair_2ELEX @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) @ ( arr @ ( arr @ A_27b @ ( arr @ A_27b @ bool ) ) @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ bool ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(tp_c_2Epair_2EPROD__ALL,type,
% 5.44/5.69 c_2Epair_2EPROD__ALL: del > del > $i ).
% 5.44/5.69
% 5.44/5.69 thf(mem_c_2Epair_2EPROD__ALL,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Epair_2EPROD__ALL @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( arr @ A_27b @ bool ) @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ bool ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(tp_c_2Epair_2EREP__prod,type,
% 5.44/5.69 c_2Epair_2EREP__prod: del > del > $i ).
% 5.44/5.69
% 5.44/5.69 thf(mem_c_2Epair_2EREP__prod,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Epair_2EREP__prod @ A_27a @ A_27b ) @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(tp_c_2Epair_2ERPROD,type,
% 5.44/5.69 c_2Epair_2ERPROD: del > del > $i ).
% 5.44/5.69
% 5.44/5.69 thf(mem_c_2Epair_2ERPROD,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Epair_2ERPROD @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) @ ( arr @ ( arr @ A_27b @ ( arr @ A_27b @ bool ) ) @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ bool ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(tp_c_2Epair_2ESND,type,
% 5.44/5.69 c_2Epair_2ESND: del > del > $i ).
% 5.44/5.69
% 5.44/5.69 thf(mem_c_2Epair_2ESND,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Epair_2ESND @ A_27a @ A_27b ) @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ A_27b ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(tp_c_2Epair_2ESWAP,type,
% 5.44/5.69 c_2Epair_2ESWAP: del > del > $i ).
% 5.44/5.69
% 5.44/5.69 thf(mem_c_2Epair_2ESWAP,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Epair_2ESWAP @ A_27a @ A_27b ) @ ( arr @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(tp_c_2Epair_2EUNCURRY,type,
% 5.44/5.69 c_2Epair_2EUNCURRY: del > del > del > $i ).
% 5.44/5.69
% 5.44/5.69 thf(mem_c_2Epair_2EUNCURRY,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del,A_27c: del] : ( mem @ ( c_2Epair_2EUNCURRY @ A_27a @ A_27b @ A_27c ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27b @ A_27c ) ) @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ A_27c ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(tp_c_2Epair_2Epair__CASE,type,
% 5.44/5.69 c_2Epair_2Epair__CASE: del > del > del > $i ).
% 5.44/5.69
% 5.44/5.69 thf(mem_c_2Epair_2Epair__CASE,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del,A_27c: del] : ( mem @ ( c_2Epair_2Epair__CASE @ A_27a @ A_27b @ A_27c ) @ ( arr @ ( ty_2Epair_2Eprod @ A_27b @ A_27c ) @ ( arr @ ( arr @ A_27b @ ( arr @ A_27c @ A_27a ) ) @ A_27a ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(ax_thm_2Epair_2Eprod__TY__DEF,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del] :
% 5.44/5.69 ? [V0rep: $i] :
% 5.44/5.69 ( ( mem @ V0rep @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) ) )
% 5.44/5.69 & ( p
% 5.44/5.69 @ ( ap
% 5.44/5.69 @ ( ap @ ( c_2Ebool_2ETYPE__DEFINITION @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) )
% 5.44/5.69 @ ( lam @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) )
% 5.44/5.69 @ ^ [V1p: $i] :
% 5.44/5.69 ( ap @ ( c_2Ebool_2E_3F @ A_27a )
% 5.44/5.69 @ ( lam @ A_27a
% 5.44/5.69 @ ^ [V2x: $i] :
% 5.44/5.69 ( ap @ ( c_2Ebool_2E_3F @ A_27b )
% 5.44/5.69 @ ( lam @ A_27b
% 5.44/5.69 @ ^ [V3y: $i] :
% 5.44/5.69 ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) ) @ V1p )
% 5.44/5.69 @ ( lam @ A_27a
% 5.44/5.69 @ ^ [V4a: $i] :
% 5.44/5.69 ( lam @ A_27b
% 5.44/5.69 @ ^ [V5b: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V4a ) @ V2x ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27b ) @ V5b ) @ V3y ) ) ) ) ) ) ) ) ) ) )
% 5.44/5.69 @ V0rep ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(ax_thm_2Epair_2EABS__REP__prod,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del] :
% 5.44/5.69 ( ! [V0a: $i] :
% 5.44/5.69 ( ( mem @ V0a @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) )
% 5.44/5.69 => ( ( ap @ ( c_2Epair_2EABS__prod @ A_27a @ A_27b ) @ ( ap @ ( c_2Epair_2EREP__prod @ A_27a @ A_27b ) @ V0a ) )
% 5.44/5.69 = V0a ) )
% 5.44/5.69 & ! [V1r: $i] :
% 5.44/5.69 ( ( mem @ V1r @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.69 => ( ( p
% 5.44/5.69 @ ( ap
% 5.44/5.69 @ ( lam @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) )
% 5.44/5.69 @ ^ [V2p: $i] :
% 5.44/5.69 ( ap @ ( c_2Ebool_2E_3F @ A_27a )
% 5.44/5.69 @ ( lam @ A_27a
% 5.44/5.69 @ ^ [V3x: $i] :
% 5.44/5.69 ( ap @ ( c_2Ebool_2E_3F @ A_27b )
% 5.44/5.69 @ ( lam @ A_27b
% 5.44/5.69 @ ^ [V4y: $i] :
% 5.44/5.69 ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) ) @ V2p )
% 5.44/5.69 @ ( lam @ A_27a
% 5.44/5.69 @ ^ [V5a: $i] :
% 5.44/5.69 ( lam @ A_27b
% 5.44/5.69 @ ^ [V6b: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V5a ) @ V3x ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27b ) @ V6b ) @ V4y ) ) ) ) ) ) ) ) ) )
% 5.44/5.69 @ V1r ) )
% 5.44/5.69 <=> ( ( ap @ ( c_2Epair_2EREP__prod @ A_27a @ A_27b ) @ ( ap @ ( c_2Epair_2EABS__prod @ A_27a @ A_27b ) @ V1r ) )
% 5.44/5.69 = V1r ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(ax_thm_2Epair_2ECOMMA__DEF,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del,V0x: $i] :
% 5.44/5.69 ( ( mem @ V0x @ A_27a )
% 5.44/5.69 => ! [V1y: $i] :
% 5.44/5.69 ( ( mem @ V1y @ A_27b )
% 5.44/5.69 => ( ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V0x ) @ V1y )
% 5.44/5.69 = ( ap @ ( c_2Epair_2EABS__prod @ A_27a @ A_27b )
% 5.44/5.69 @ ( lam @ A_27a
% 5.44/5.69 @ ^ [V2a: $i] :
% 5.44/5.69 ( lam @ A_27b
% 5.44/5.69 @ ^ [V3b: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V2a ) @ V0x ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27b ) @ V3b ) @ V1y ) ) ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Epair_2EPAIR__EQ,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del,V0x: $i] :
% 5.44/5.69 ( ( mem @ V0x @ A_27a )
% 5.44/5.69 => ! [V1y: $i] :
% 5.44/5.69 ( ( mem @ V1y @ A_27b )
% 5.44/5.69 => ! [V2a: $i] :
% 5.44/5.69 ( ( mem @ V2a @ A_27a )
% 5.44/5.69 => ! [V3b: $i] :
% 5.44/5.69 ( ( mem @ V3b @ A_27b )
% 5.44/5.69 => ( ( ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V0x ) @ V1y )
% 5.44/5.69 = ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V2a ) @ V3b ) )
% 5.44/5.69 <=> ( ( V0x = V2a )
% 5.44/5.69 & ( V1y = V3b ) ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Epair_2ECLOSED__PAIR__EQ,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del,V0x: $i] :
% 5.44/5.69 ( ( mem @ V0x @ A_27a )
% 5.44/5.69 => ! [V1y: $i] :
% 5.44/5.69 ( ( mem @ V1y @ A_27b )
% 5.44/5.69 => ! [V2a: $i] :
% 5.44/5.69 ( ( mem @ V2a @ A_27a )
% 5.44/5.69 => ! [V3b: $i] :
% 5.44/5.69 ( ( mem @ V3b @ A_27b )
% 5.44/5.69 => ( ( ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V0x ) @ V1y )
% 5.44/5.69 = ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V2a ) @ V3b ) )
% 5.44/5.69 <=> ( ( V0x = V2a )
% 5.44/5.69 & ( V1y = V3b ) ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Epair_2EABS__PAIR__THM,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del,V0x: $i] :
% 5.44/5.69 ( ( mem @ V0x @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) )
% 5.44/5.69 => ? [V1q: $i] :
% 5.44/5.69 ( ( mem @ V1q @ A_27a )
% 5.44/5.69 & ? [V2r: $i] :
% 5.44/5.69 ( ( mem @ V2r @ A_27b )
% 5.44/5.69 & ( V0x
% 5.44/5.69 = ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V1q ) @ V2r ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Epair_2Epair__CASES,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del,V0x: $i] :
% 5.44/5.69 ( ( mem @ V0x @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) )
% 5.44/5.69 => ? [V1q: $i] :
% 5.44/5.69 ( ( mem @ V1q @ A_27a )
% 5.44/5.69 & ? [V2r: $i] :
% 5.44/5.69 ( ( mem @ V2r @ A_27b )
% 5.44/5.69 & ( V0x
% 5.44/5.69 = ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V1q ) @ V2r ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(ax_thm_2Epair_2EPAIR,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del,V0x: $i] :
% 5.44/5.69 ( ( mem @ V0x @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) )
% 5.44/5.69 => ( ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ ( ap @ ( c_2Epair_2EFST @ A_27a @ A_27b ) @ V0x ) ) @ ( ap @ ( c_2Epair_2ESND @ A_27a @ A_27b ) @ V0x ) )
% 5.44/5.69 = V0x ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Epair_2EFST,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del,V0x: $i] :
% 5.44/5.69 ( ( mem @ V0x @ A_27a )
% 5.44/5.69 => ! [V1y: $i] :
% 5.44/5.69 ( ( mem @ V1y @ A_27b )
% 5.44/5.69 => ( ( ap @ ( c_2Epair_2EFST @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V0x ) @ V1y ) )
% 5.44/5.69 = V0x ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Epair_2ESND,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del,V0x: $i] :
% 5.44/5.69 ( ( mem @ V0x @ A_27a )
% 5.44/5.69 => ! [V1y: $i] :
% 5.44/5.69 ( ( mem @ V1y @ A_27b )
% 5.44/5.69 => ( ( ap @ ( c_2Epair_2ESND @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V0x ) @ V1y ) )
% 5.44/5.69 = V1y ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Epair_2EPAIR__FST__SND__EQ,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del,V0p: $i] :
% 5.44/5.69 ( ( mem @ V0p @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) )
% 5.44/5.69 => ! [V1q: $i] :
% 5.44/5.69 ( ( mem @ V1q @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) )
% 5.44/5.69 => ( ( V0p = V1q )
% 5.44/5.69 <=> ( ( ( ap @ ( c_2Epair_2EFST @ A_27a @ A_27b ) @ V0p )
% 5.44/5.69 = ( ap @ ( c_2Epair_2EFST @ A_27a @ A_27b ) @ V1q ) )
% 5.44/5.69 & ( ( ap @ ( c_2Epair_2ESND @ A_27a @ A_27b ) @ V0p )
% 5.44/5.69 = ( ap @ ( c_2Epair_2ESND @ A_27a @ A_27b ) @ V1q ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(ax_thm_2Epair_2ESWAP__def,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del,V0a: $i] :
% 5.44/5.69 ( ( mem @ V0a @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) )
% 5.44/5.69 => ( ( ap @ ( c_2Epair_2ESWAP @ A_27a @ A_27b ) @ V0a )
% 5.44/5.69 = ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ ( ap @ ( c_2Epair_2ESND @ A_27b @ A_27a ) @ V0a ) ) @ ( ap @ ( c_2Epair_2EFST @ A_27b @ A_27a ) @ V0a ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(ax_thm_2Epair_2ECURRY__DEF,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.44/5.69 ( ( mem @ V0f @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ A_27c ) )
% 5.44/5.69 => ! [V1x: $i] :
% 5.44/5.69 ( ( mem @ V1x @ A_27a )
% 5.44/5.69 => ! [V2y: $i] :
% 5.44/5.69 ( ( mem @ V2y @ A_27b )
% 5.44/5.69 => ( ( ap @ ( ap @ ( ap @ ( c_2Epair_2ECURRY @ A_27a @ A_27b @ A_27c ) @ V0f ) @ V1x ) @ V2y )
% 5.44/5.69 = ( ap @ V0f @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V1x ) @ V2y ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(ax_thm_2Epair_2EUNCURRY,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.44/5.69 ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27b @ A_27c ) ) )
% 5.44/5.69 => ! [V1v: $i] :
% 5.44/5.69 ( ( mem @ V1v @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) )
% 5.44/5.69 => ( ( ap @ ( ap @ ( c_2Epair_2EUNCURRY @ A_27a @ A_27b @ A_27c ) @ V0f ) @ V1v )
% 5.44/5.69 = ( ap @ ( ap @ V0f @ ( ap @ ( c_2Epair_2EFST @ A_27a @ A_27b ) @ V1v ) ) @ ( ap @ ( c_2Epair_2ESND @ A_27a @ A_27b ) @ V1v ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Epair_2EUNCURRY__VAR,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.44/5.69 ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27b @ A_27c ) ) )
% 5.44/5.69 => ! [V1v: $i] :
% 5.44/5.69 ( ( mem @ V1v @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) )
% 5.44/5.69 => ( ( ap @ ( ap @ ( c_2Epair_2EUNCURRY @ A_27a @ A_27b @ A_27c ) @ V0f ) @ V1v )
% 5.44/5.69 = ( ap @ ( ap @ V0f @ ( ap @ ( c_2Epair_2EFST @ A_27a @ A_27b ) @ V1v ) ) @ ( ap @ ( c_2Epair_2ESND @ A_27a @ A_27b ) @ V1v ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Epair_2EELIM__UNCURRY,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.44/5.69 ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27b @ A_27c ) ) )
% 5.44/5.69 => ( ( ap @ ( c_2Epair_2EUNCURRY @ A_27a @ A_27b @ A_27c ) @ V0f )
% 5.44/5.69 = ( lam @ ( ty_2Epair_2Eprod @ A_27a @ A_27b )
% 5.44/5.69 @ ^ [V1x: $i] : ( ap @ ( ap @ V0f @ ( ap @ ( c_2Epair_2EFST @ A_27a @ A_27b ) @ V1x ) ) @ ( ap @ ( c_2Epair_2ESND @ A_27a @ A_27b ) @ V1x ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Epair_2EUNCURRY__DEF,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.44/5.69 ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27b @ A_27c ) ) )
% 5.44/5.69 => ! [V1x: $i] :
% 5.44/5.69 ( ( mem @ V1x @ A_27a )
% 5.44/5.69 => ! [V2y: $i] :
% 5.44/5.69 ( ( mem @ V2y @ A_27b )
% 5.44/5.69 => ( ( ap @ ( ap @ ( c_2Epair_2EUNCURRY @ A_27a @ A_27b @ A_27c ) @ V0f ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V1x ) @ V2y ) )
% 5.44/5.69 = ( ap @ ( ap @ V0f @ V1x ) @ V2y ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Epair_2ECURRY__UNCURRY__THM,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.44/5.69 ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27b @ A_27c ) ) )
% 5.44/5.69 => ( ( ap @ ( c_2Epair_2ECURRY @ A_27a @ A_27b @ A_27c ) @ ( ap @ ( c_2Epair_2EUNCURRY @ A_27a @ A_27b @ A_27c ) @ V0f ) )
% 5.44/5.69 = V0f ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Epair_2EUNCURRY__CURRY__THM,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.44/5.69 ( ( mem @ V0f @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ A_27c ) )
% 5.44/5.69 => ( ( ap @ ( c_2Epair_2EUNCURRY @ A_27a @ A_27b @ A_27c ) @ ( ap @ ( c_2Epair_2ECURRY @ A_27a @ A_27b @ A_27c ) @ V0f ) )
% 5.44/5.69 = V0f ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Epair_2ECURRY__ONE__ONE__THM,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.44/5.69 ( ( mem @ V0f @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ A_27c ) )
% 5.44/5.69 => ! [V1g: $i] :
% 5.44/5.69 ( ( mem @ V1g @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ A_27c ) )
% 5.44/5.69 => ( ( ( ap @ ( c_2Epair_2ECURRY @ A_27a @ A_27b @ A_27c ) @ V0f )
% 5.44/5.69 = ( ap @ ( c_2Epair_2ECURRY @ A_27a @ A_27b @ A_27c ) @ V1g ) )
% 5.44/5.69 <=> ( V0f = V1g ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Epair_2EUNCURRY__ONE__ONE__THM,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.44/5.69 ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27b @ A_27c ) ) )
% 5.44/5.69 => ! [V1g: $i] :
% 5.44/5.69 ( ( mem @ V1g @ ( arr @ A_27a @ ( arr @ A_27b @ A_27c ) ) )
% 5.44/5.69 => ( ( ( ap @ ( c_2Epair_2EUNCURRY @ A_27a @ A_27b @ A_27c ) @ V0f )
% 5.44/5.69 = ( ap @ ( c_2Epair_2EUNCURRY @ A_27a @ A_27b @ A_27c ) @ V1g ) )
% 5.44/5.69 <=> ( V0f = V1g ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Epair_2Epair__Axiom,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.44/5.69 ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27b @ A_27c ) ) )
% 5.44/5.69 => ? [V1fn: $i] :
% 5.44/5.69 ( ( mem @ V1fn @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ A_27c ) )
% 5.44/5.69 & ! [V2x: $i] :
% 5.44/5.69 ( ( mem @ V2x @ A_27a )
% 5.44/5.69 => ! [V3y: $i] :
% 5.44/5.69 ( ( mem @ V3y @ A_27b )
% 5.44/5.69 => ( ( ap @ V1fn @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V2x ) @ V3y ) )
% 5.44/5.69 = ( ap @ ( ap @ V0f @ V2x ) @ V3y ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Epair_2EUNCURRY__CONG,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del,A_27c: del,V0f_27: $i] :
% 5.44/5.69 ( ( mem @ V0f_27 @ ( arr @ A_27a @ ( arr @ A_27b @ A_27c ) ) )
% 5.44/5.69 => ! [V1f: $i] :
% 5.44/5.69 ( ( mem @ V1f @ ( arr @ A_27a @ ( arr @ A_27b @ A_27c ) ) )
% 5.44/5.69 => ! [V2M_27: $i] :
% 5.44/5.69 ( ( mem @ V2M_27 @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) )
% 5.44/5.69 => ! [V3M: $i] :
% 5.44/5.69 ( ( mem @ V3M @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) )
% 5.44/5.69 => ( ( ( V3M = V2M_27 )
% 5.44/5.69 & ! [V4x: $i] :
% 5.44/5.69 ( ( mem @ V4x @ A_27a )
% 5.44/5.69 => ! [V5y: $i] :
% 5.44/5.69 ( ( mem @ V5y @ A_27b )
% 5.44/5.69 => ( ( V2M_27
% 5.44/5.69 = ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V4x ) @ V5y ) )
% 5.44/5.69 => ( ( ap @ ( ap @ V1f @ V4x ) @ V5y )
% 5.44/5.69 = ( ap @ ( ap @ V0f_27 @ V4x ) @ V5y ) ) ) ) ) )
% 5.44/5.69 => ( ( ap @ ( ap @ ( c_2Epair_2EUNCURRY @ A_27a @ A_27b @ A_27c ) @ V1f ) @ V3M )
% 5.44/5.69 = ( ap @ ( ap @ ( c_2Epair_2EUNCURRY @ A_27a @ A_27b @ A_27c ) @ V0f_27 ) @ V2M_27 ) ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Epair_2ELAMBDA__PROD,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del,A_27c: del,V0P: $i] :
% 5.44/5.69 ( ( mem @ V0P @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ A_27c ) )
% 5.44/5.69 => ( ( lam @ ( ty_2Epair_2Eprod @ A_27a @ A_27b )
% 5.44/5.69 @ ^ [V1p: $i] : ( ap @ V0P @ V1p ) )
% 5.44/5.69 = ( ap @ ( c_2Epair_2EUNCURRY @ A_27a @ A_27b @ A_27c )
% 5.44/5.69 @ ( lam @ A_27a
% 5.44/5.69 @ ^ [V2p1: $i] :
% 5.44/5.69 ( lam @ A_27b
% 5.44/5.69 @ ^ [V3p2: $i] : ( ap @ V0P @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V2p1 ) @ V3p2 ) ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Epair_2EEXISTS__PROD,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.44/5.69 ( ( mem @ V0P @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ bool ) )
% 5.44/5.69 => ( ? [V1p: $i] :
% 5.44/5.69 ( ( mem @ V1p @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) )
% 5.44/5.69 & ( p @ ( ap @ V0P @ V1p ) ) )
% 5.44/5.69 <=> ? [V2p__1: $i] :
% 5.44/5.69 ( ( mem @ V2p__1 @ A_27a )
% 5.44/5.69 & ? [V3p__2: $i] :
% 5.44/5.69 ( ( mem @ V3p__2 @ A_27b )
% 5.44/5.69 & ( p @ ( ap @ V0P @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V2p__1 ) @ V3p__2 ) ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Epair_2EFORALL__PROD,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.44/5.69 ( ( mem @ V0P @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ bool ) )
% 5.44/5.69 => ( ! [V1p: $i] :
% 5.44/5.69 ( ( mem @ V1p @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) )
% 5.44/5.69 => ( p @ ( ap @ V0P @ V1p ) ) )
% 5.44/5.69 <=> ! [V2p__1: $i] :
% 5.44/5.69 ( ( mem @ V2p__1 @ A_27a )
% 5.44/5.69 => ! [V3p__2: $i] :
% 5.44/5.69 ( ( mem @ V3p__2 @ A_27b )
% 5.44/5.69 => ( p @ ( ap @ V0P @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V2p__1 ) @ V3p__2 ) ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Epair_2Epair__induction,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.44/5.69 ( ( mem @ V0P @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ bool ) )
% 5.44/5.69 => ( ! [V1p__1: $i] :
% 5.44/5.69 ( ( mem @ V1p__1 @ A_27a )
% 5.44/5.69 => ! [V2p__2: $i] :
% 5.44/5.69 ( ( mem @ V2p__2 @ A_27b )
% 5.44/5.69 => ( p @ ( ap @ V0P @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V1p__1 ) @ V2p__2 ) ) ) ) )
% 5.44/5.69 => ! [V3p: $i] :
% 5.44/5.69 ( ( mem @ V3p @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) )
% 5.44/5.69 => ( p @ ( ap @ V0P @ V3p ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(ax_thm_2Epair_2EPROD__ALL__def,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.44/5.69 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.44/5.69 => ! [V1Q: $i] :
% 5.44/5.69 ( ( mem @ V1Q @ ( arr @ A_27b @ bool ) )
% 5.44/5.69 => ! [V2p: $i] :
% 5.44/5.69 ( ( mem @ V2p @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) )
% 5.44/5.69 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epair_2EPROD__ALL @ A_27a @ A_27b ) @ V0P ) @ V1Q ) @ V2p ) )
% 5.44/5.69 <=> ( ( p @ ( ap @ V0P @ ( ap @ ( c_2Epair_2EFST @ A_27a @ A_27b ) @ V2p ) ) )
% 5.44/5.69 & ( p @ ( ap @ V1Q @ ( ap @ ( c_2Epair_2ESND @ A_27a @ A_27b ) @ V2p ) ) ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Epair_2EPROD__ALL__THM,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.44/5.69 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.44/5.69 => ! [V1Q: $i] :
% 5.44/5.69 ( ( mem @ V1Q @ ( arr @ A_27b @ bool ) )
% 5.44/5.69 => ! [V2x: $i] :
% 5.44/5.69 ( ( mem @ V2x @ A_27a )
% 5.44/5.69 => ! [V3y: $i] :
% 5.44/5.69 ( ( mem @ V3y @ A_27b )
% 5.44/5.69 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epair_2EPROD__ALL @ A_27a @ A_27b ) @ V0P ) @ V1Q ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V2x ) @ V3y ) ) )
% 5.44/5.69 <=> ( ( p @ ( ap @ V0P @ V2x ) )
% 5.44/5.69 & ( p @ ( ap @ V1Q @ V3y ) ) ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Epair_2EPROD__ALL__MONO,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.44/5.69 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.44/5.69 => ! [V1P_27: $i] :
% 5.44/5.69 ( ( mem @ V1P_27 @ ( arr @ A_27a @ bool ) )
% 5.44/5.69 => ! [V2Q: $i] :
% 5.44/5.69 ( ( mem @ V2Q @ ( arr @ A_27b @ bool ) )
% 5.44/5.69 => ! [V3Q_27: $i] :
% 5.44/5.69 ( ( mem @ V3Q_27 @ ( arr @ A_27b @ bool ) )
% 5.44/5.69 => ! [V4p: $i] :
% 5.44/5.69 ( ( mem @ V4p @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) )
% 5.44/5.69 => ( ( ! [V5x: $i] :
% 5.44/5.69 ( ( mem @ V5x @ A_27a )
% 5.44/5.69 => ( ( p @ ( ap @ V0P @ V5x ) )
% 5.44/5.69 => ( p @ ( ap @ V1P_27 @ V5x ) ) ) )
% 5.44/5.69 & ! [V6y: $i] :
% 5.44/5.69 ( ( mem @ V6y @ A_27b )
% 5.44/5.69 => ( ( p @ ( ap @ V2Q @ V6y ) )
% 5.44/5.69 => ( p @ ( ap @ V3Q_27 @ V6y ) ) ) ) )
% 5.44/5.69 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epair_2EPROD__ALL @ A_27a @ A_27b ) @ V0P ) @ V2Q ) @ V4p ) )
% 5.44/5.69 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epair_2EPROD__ALL @ A_27a @ A_27b ) @ V1P_27 ) @ V3Q_27 ) @ V4p ) ) ) ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Epair_2EPROD__ALL__CONG,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del,V0p: $i] :
% 5.44/5.69 ( ( mem @ V0p @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) )
% 5.44/5.69 => ! [V1p_27: $i] :
% 5.44/5.69 ( ( mem @ V1p_27 @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) )
% 5.44/5.69 => ! [V2P: $i] :
% 5.44/5.69 ( ( mem @ V2P @ ( arr @ A_27a @ bool ) )
% 5.44/5.69 => ! [V3P_27: $i] :
% 5.44/5.69 ( ( mem @ V3P_27 @ ( arr @ A_27a @ bool ) )
% 5.44/5.69 => ! [V4Q: $i] :
% 5.44/5.69 ( ( mem @ V4Q @ ( arr @ A_27b @ bool ) )
% 5.44/5.69 => ! [V5Q_27: $i] :
% 5.44/5.69 ( ( mem @ V5Q_27 @ ( arr @ A_27b @ bool ) )
% 5.44/5.69 => ( ( ( V0p = V1p_27 )
% 5.44/5.69 & ! [V6x: $i] :
% 5.44/5.69 ( ( mem @ V6x @ A_27a )
% 5.44/5.69 => ! [V7y: $i] :
% 5.44/5.69 ( ( mem @ V7y @ A_27b )
% 5.44/5.69 => ( ( V1p_27
% 5.44/5.69 = ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V6x ) @ V7y ) )
% 5.44/5.69 => ( ( p @ ( ap @ V2P @ V6x ) )
% 5.44/5.69 <=> ( p @ ( ap @ V3P_27 @ V6x ) ) ) ) ) )
% 5.44/5.69 & ! [V8x: $i] :
% 5.44/5.69 ( ( mem @ V8x @ A_27a )
% 5.44/5.69 => ! [V9y: $i] :
% 5.44/5.69 ( ( mem @ V9y @ A_27b )
% 5.44/5.69 => ( ( V1p_27
% 5.44/5.69 = ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V8x ) @ V9y ) )
% 5.44/5.69 => ( ( p @ ( ap @ V4Q @ V9y ) )
% 5.44/5.69 <=> ( p @ ( ap @ V5Q_27 @ V9y ) ) ) ) ) ) )
% 5.44/5.69 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epair_2EPROD__ALL @ A_27a @ A_27b ) @ V2P ) @ V4Q ) @ V0p ) )
% 5.44/5.69 <=> ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epair_2EPROD__ALL @ A_27a @ A_27b ) @ V3P_27 ) @ V5Q_27 ) @ V1p_27 ) ) ) ) ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Epair_2EELIM__PEXISTS,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.44/5.69 ( ( mem @ V0P @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.69 => ( ? [V1p: $i] :
% 5.44/5.69 ( ( mem @ V1p @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) )
% 5.44/5.69 & ( p @ ( ap @ ( ap @ V0P @ ( ap @ ( c_2Epair_2EFST @ A_27a @ A_27b ) @ V1p ) ) @ ( ap @ ( c_2Epair_2ESND @ A_27a @ A_27b ) @ V1p ) ) ) )
% 5.44/5.69 <=> ? [V2p1: $i] :
% 5.44/5.69 ( ( mem @ V2p1 @ A_27a )
% 5.44/5.69 & ? [V3p2: $i] :
% 5.44/5.69 ( ( mem @ V3p2 @ A_27b )
% 5.44/5.69 & ( p @ ( ap @ ( ap @ V0P @ V2p1 ) @ V3p2 ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Epair_2EELIM__PFORALL,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.44/5.69 ( ( mem @ V0P @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.69 => ( ! [V1p: $i] :
% 5.44/5.69 ( ( mem @ V1p @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) )
% 5.44/5.69 => ( p @ ( ap @ ( ap @ V0P @ ( ap @ ( c_2Epair_2EFST @ A_27a @ A_27b ) @ V1p ) ) @ ( ap @ ( c_2Epair_2ESND @ A_27a @ A_27b ) @ V1p ) ) ) )
% 5.44/5.69 <=> ! [V2p1: $i] :
% 5.44/5.69 ( ( mem @ V2p1 @ A_27a )
% 5.44/5.69 => ! [V3p2: $i] :
% 5.44/5.69 ( ( mem @ V3p2 @ A_27b )
% 5.44/5.69 => ( p @ ( ap @ ( ap @ V0P @ V2p1 ) @ V3p2 ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Epair_2EPFORALL__THM,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.44/5.69 ( ( mem @ V0P @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.69 => ( ! [V1x: $i] :
% 5.44/5.69 ( ( mem @ V1x @ A_27a )
% 5.44/5.69 => ! [V2y: $i] :
% 5.44/5.69 ( ( mem @ V2y @ A_27b )
% 5.44/5.69 => ( p @ ( ap @ ( ap @ V0P @ V1x ) @ V2y ) ) ) )
% 5.44/5.69 <=> ( p
% 5.44/5.69 @ ( ap @ ( c_2Ebool_2E_21 @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) )
% 5.44/5.69 @ ( ap @ ( c_2Epair_2EUNCURRY @ A_27a @ A_27b @ bool )
% 5.44/5.69 @ ( lam @ A_27a
% 5.44/5.69 @ ^ [V3x: $i] :
% 5.44/5.69 ( lam @ A_27b
% 5.44/5.69 @ ^ [V4y: $i] : ( ap @ ( ap @ V0P @ V3x ) @ V4y ) ) ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Epair_2EPEXISTS__THM,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.44/5.69 ( ( mem @ V0P @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.69 => ( ? [V1x: $i] :
% 5.44/5.69 ( ( mem @ V1x @ A_27a )
% 5.44/5.69 & ? [V2y: $i] :
% 5.44/5.69 ( ( mem @ V2y @ A_27b )
% 5.44/5.69 & ( p @ ( ap @ ( ap @ V0P @ V1x ) @ V2y ) ) ) )
% 5.44/5.69 <=> ( p
% 5.44/5.69 @ ( ap @ ( c_2Ebool_2E_3F @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) )
% 5.44/5.69 @ ( ap @ ( c_2Epair_2EUNCURRY @ A_27a @ A_27b @ bool )
% 5.44/5.69 @ ( lam @ A_27a
% 5.44/5.69 @ ^ [V3x: $i] :
% 5.44/5.69 ( lam @ A_27b
% 5.44/5.69 @ ^ [V4y: $i] : ( ap @ ( ap @ V0P @ V3x ) @ V4y ) ) ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Epair_2EELIM__PEXISTS__EVAL,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.44/5.69 ( ( mem @ V0P @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.69 => ( ( p
% 5.44/5.69 @ ( ap @ ( c_2Ebool_2E_3F @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) )
% 5.44/5.69 @ ( ap @ ( c_2Epair_2EUNCURRY @ A_27a @ A_27b @ bool )
% 5.44/5.69 @ ( lam @ A_27a
% 5.44/5.69 @ ^ [V1x: $i] : ( ap @ V0P @ V1x ) ) ) ) )
% 5.44/5.69 <=> ? [V2x: $i] :
% 5.44/5.69 ( ( mem @ V2x @ A_27a )
% 5.44/5.69 & ( p @ ( ap @ ( c_2Ebool_2E_3F @ A_27b ) @ ( ap @ V0P @ V2x ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Epair_2EELIM__PFORALL__EVAL,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.44/5.69 ( ( mem @ V0P @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.69 => ( ( p
% 5.44/5.69 @ ( ap @ ( c_2Ebool_2E_21 @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) )
% 5.44/5.69 @ ( ap @ ( c_2Epair_2EUNCURRY @ A_27a @ A_27b @ bool )
% 5.44/5.69 @ ( lam @ A_27a
% 5.44/5.69 @ ^ [V1x: $i] : ( ap @ V0P @ V1x ) ) ) ) )
% 5.44/5.69 <=> ! [V2x: $i] :
% 5.44/5.69 ( ( mem @ V2x @ A_27a )
% 5.44/5.69 => ( p @ ( ap @ ( c_2Ebool_2E_21 @ A_27b ) @ ( ap @ V0P @ V2x ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(ax_thm_2Epair_2EPAIR__MAP,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0f: $i] :
% 5.44/5.69 ( ( mem @ V0f @ ( arr @ A_27a @ A_27c ) )
% 5.44/5.69 => ! [V1g: $i] :
% 5.44/5.69 ( ( mem @ V1g @ ( arr @ A_27b @ A_27d ) )
% 5.44/5.69 => ! [V2p: $i] :
% 5.44/5.69 ( ( mem @ V2p @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) )
% 5.44/5.69 => ( ( ap @ ( ap @ ( ap @ ( c_2Epair_2E_23_23 @ A_27a @ A_27b @ A_27c @ A_27d ) @ V0f ) @ V1g ) @ V2p )
% 5.44/5.69 = ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27c @ A_27d ) @ ( ap @ V0f @ ( ap @ ( c_2Epair_2EFST @ A_27a @ A_27b ) @ V2p ) ) ) @ ( ap @ V1g @ ( ap @ ( c_2Epair_2ESND @ A_27a @ A_27b ) @ V2p ) ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Epair_2EPAIR__MAP__THM,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0f: $i] :
% 5.44/5.69 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.69 => ! [V1g: $i] :
% 5.44/5.69 ( ( mem @ V1g @ ( arr @ A_27c @ A_27d ) )
% 5.44/5.69 => ! [V2x: $i] :
% 5.44/5.69 ( ( mem @ V2x @ A_27a )
% 5.44/5.69 => ! [V3y: $i] :
% 5.44/5.69 ( ( mem @ V3y @ A_27c )
% 5.44/5.69 => ( ( ap @ ( ap @ ( ap @ ( c_2Epair_2E_23_23 @ A_27a @ A_27c @ A_27b @ A_27d ) @ V0f ) @ V1g ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27c ) @ V2x ) @ V3y ) )
% 5.44/5.69 = ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27b @ A_27d ) @ ( ap @ V0f @ V2x ) ) @ ( ap @ V1g @ V3y ) ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Epair_2EFST__PAIR__MAP,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0p: $i] :
% 5.44/5.69 ( ( mem @ V0p @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) )
% 5.44/5.69 => ! [V1f: $i] :
% 5.44/5.69 ( ( mem @ V1f @ ( arr @ A_27a @ A_27c ) )
% 5.44/5.69 => ! [V2g: $i] :
% 5.44/5.69 ( ( mem @ V2g @ ( arr @ A_27b @ A_27d ) )
% 5.44/5.69 => ( ( ap @ ( c_2Epair_2EFST @ A_27c @ A_27d ) @ ( ap @ ( ap @ ( ap @ ( c_2Epair_2E_23_23 @ A_27a @ A_27b @ A_27c @ A_27d ) @ V1f ) @ V2g ) @ V0p ) )
% 5.44/5.69 = ( ap @ V1f @ ( ap @ ( c_2Epair_2EFST @ A_27a @ A_27b ) @ V0p ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Epair_2ESND__PAIR__MAP,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0p: $i] :
% 5.44/5.69 ( ( mem @ V0p @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) )
% 5.44/5.69 => ! [V1f: $i] :
% 5.44/5.69 ( ( mem @ V1f @ ( arr @ A_27a @ A_27c ) )
% 5.44/5.69 => ! [V2g: $i] :
% 5.44/5.69 ( ( mem @ V2g @ ( arr @ A_27b @ A_27d ) )
% 5.44/5.69 => ( ( ap @ ( c_2Epair_2ESND @ A_27c @ A_27d ) @ ( ap @ ( ap @ ( ap @ ( c_2Epair_2E_23_23 @ A_27a @ A_27b @ A_27c @ A_27d ) @ V1f ) @ V2g ) @ V0p ) )
% 5.44/5.69 = ( ap @ V2g @ ( ap @ ( c_2Epair_2ESND @ A_27a @ A_27b ) @ V0p ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Epair_2ELET2__RAND,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0P: $i] :
% 5.44/5.69 ( ( mem @ V0P @ ( arr @ A_27c @ A_27d ) )
% 5.44/5.69 => ! [V1M: $i] :
% 5.44/5.69 ( ( mem @ V1M @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) )
% 5.44/5.69 => ! [V2N: $i] :
% 5.44/5.69 ( ( mem @ V2N @ ( arr @ A_27a @ ( arr @ A_27b @ A_27c ) ) )
% 5.44/5.69 => ( ( ap @ V0P
% 5.44/5.69 @ ( ap
% 5.44/5.69 @ ( ap @ ( c_2Ebool_2ELET @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ A_27c )
% 5.44/5.69 @ ( ap @ ( c_2Epair_2EUNCURRY @ A_27a @ A_27b @ A_27c )
% 5.44/5.69 @ ( lam @ A_27a
% 5.44/5.69 @ ^ [V3x: $i] :
% 5.44/5.69 ( lam @ A_27b
% 5.44/5.69 @ ^ [V4y: $i] : ( ap @ ( ap @ V2N @ V3x ) @ V4y ) ) ) ) )
% 5.44/5.69 @ V1M ) )
% 5.44/5.69 = ( ap
% 5.44/5.69 @ ( ap @ ( c_2Ebool_2ELET @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ A_27d )
% 5.44/5.69 @ ( ap @ ( c_2Epair_2EUNCURRY @ A_27a @ A_27b @ A_27d )
% 5.44/5.69 @ ( lam @ A_27a
% 5.44/5.69 @ ^ [V5x: $i] :
% 5.44/5.69 ( lam @ A_27b
% 5.44/5.69 @ ^ [V6y: $i] : ( ap @ V0P @ ( ap @ ( ap @ V2N @ V5x ) @ V6y ) ) ) ) ) )
% 5.44/5.69 @ V1M ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Epair_2ELET2__RATOR,axiom,
% 5.44/5.69 ! [A_27a1: del,A_27a2: del,A_27b: del,A_27c: del,V0M: $i] :
% 5.44/5.69 ( ( mem @ V0M @ ( ty_2Epair_2Eprod @ A_27a1 @ A_27a2 ) )
% 5.44/5.69 => ! [V1N: $i] :
% 5.44/5.69 ( ( mem @ V1N @ ( arr @ A_27a1 @ ( arr @ A_27a2 @ ( arr @ A_27b @ A_27c ) ) ) )
% 5.44/5.69 => ! [V2b: $i] :
% 5.44/5.69 ( ( mem @ V2b @ A_27b )
% 5.44/5.69 => ( ( ap
% 5.44/5.69 @ ( ap
% 5.44/5.69 @ ( ap @ ( c_2Ebool_2ELET @ ( ty_2Epair_2Eprod @ A_27a1 @ A_27a2 ) @ ( arr @ A_27b @ A_27c ) )
% 5.44/5.69 @ ( ap @ ( c_2Epair_2EUNCURRY @ A_27a1 @ A_27a2 @ ( arr @ A_27b @ A_27c ) )
% 5.44/5.69 @ ( lam @ A_27a1
% 5.44/5.69 @ ^ [V3x: $i] :
% 5.44/5.69 ( lam @ A_27a2
% 5.44/5.69 @ ^ [V4y: $i] : ( ap @ ( ap @ V1N @ V3x ) @ V4y ) ) ) ) )
% 5.44/5.69 @ V0M )
% 5.44/5.69 @ V2b )
% 5.44/5.69 = ( ap
% 5.44/5.69 @ ( ap @ ( c_2Ebool_2ELET @ ( ty_2Epair_2Eprod @ A_27a1 @ A_27a2 ) @ A_27c )
% 5.44/5.69 @ ( ap @ ( c_2Epair_2EUNCURRY @ A_27a1 @ A_27a2 @ A_27c )
% 5.44/5.69 @ ( lam @ A_27a1
% 5.44/5.69 @ ^ [V5x: $i] :
% 5.44/5.69 ( lam @ A_27a2
% 5.44/5.69 @ ^ [V6y: $i] : ( ap @ ( ap @ ( ap @ V1N @ V5x ) @ V6y ) @ V2b ) ) ) ) )
% 5.44/5.69 @ V0M ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Epair_2Eo__UNCURRY__R,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0f: $i] :
% 5.44/5.69 ( ( mem @ V0f @ ( arr @ A_27d @ A_27c ) )
% 5.44/5.69 => ! [V1g: $i] :
% 5.44/5.69 ( ( mem @ V1g @ ( arr @ A_27a @ ( arr @ A_27b @ A_27d ) ) )
% 5.44/5.69 => ( ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ A_27c @ A_27d ) @ V0f ) @ ( ap @ ( c_2Epair_2EUNCURRY @ A_27a @ A_27b @ A_27d ) @ V1g ) )
% 5.44/5.69 = ( ap @ ( c_2Epair_2EUNCURRY @ A_27a @ A_27b @ A_27c ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27a @ ( arr @ A_27b @ A_27c ) @ ( arr @ A_27b @ A_27d ) ) @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ A_27c @ A_27d ) @ V0f ) ) @ V1g ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Epair_2EC__UNCURRY__L,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0f: $i] :
% 5.44/5.69 ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27b @ ( arr @ A_27d @ A_27c ) ) ) )
% 5.44/5.69 => ! [V1x: $i] :
% 5.44/5.69 ( ( mem @ V1x @ A_27d )
% 5.44/5.69 => ( ( ap @ ( ap @ ( c_2Ecombin_2EC @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ A_27d @ A_27c ) @ ( ap @ ( c_2Epair_2EUNCURRY @ A_27a @ A_27b @ ( arr @ A_27d @ A_27c ) ) @ V0f ) ) @ V1x )
% 5.44/5.69 = ( ap @ ( c_2Epair_2EUNCURRY @ A_27a @ A_27b @ A_27c ) @ ( ap @ ( ap @ ( c_2Ecombin_2EC @ A_27a @ A_27d @ ( arr @ A_27b @ A_27c ) ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27a @ ( arr @ A_27d @ ( arr @ A_27b @ A_27c ) ) @ ( arr @ A_27b @ ( arr @ A_27d @ A_27c ) ) ) @ ( c_2Ecombin_2EC @ A_27b @ A_27d @ A_27c ) ) @ V0f ) ) @ V1x ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Epair_2ES__UNCURRY__R,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0f: $i] :
% 5.44/5.69 ( ( mem @ V0f @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ ( arr @ A_27d @ A_27c ) ) )
% 5.44/5.69 => ! [V1g: $i] :
% 5.44/5.69 ( ( mem @ V1g @ ( arr @ A_27a @ ( arr @ A_27b @ A_27d ) ) )
% 5.44/5.69 => ( ( ap @ ( ap @ ( c_2Ecombin_2ES @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ A_27d @ A_27c ) @ V0f ) @ ( ap @ ( c_2Epair_2EUNCURRY @ A_27a @ A_27b @ A_27d ) @ V1g ) )
% 5.44/5.69 = ( ap @ ( c_2Epair_2EUNCURRY @ A_27a @ A_27b @ A_27c ) @ ( ap @ ( ap @ ( c_2Ecombin_2ES @ A_27a @ ( arr @ A_27b @ A_27d ) @ ( arr @ A_27b @ A_27c ) ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27a @ ( arr @ ( arr @ A_27b @ A_27d ) @ ( arr @ A_27b @ A_27c ) ) @ ( arr @ A_27b @ ( arr @ A_27d @ A_27c ) ) ) @ ( c_2Ecombin_2ES @ A_27b @ A_27d @ A_27c ) ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27a @ ( arr @ A_27b @ ( arr @ A_27d @ A_27c ) ) @ ( arr @ A_27b @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) ) @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( arr @ A_27d @ A_27c ) @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ V0f ) ) @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) ) ) ) @ V1g ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Epair_2EFORALL__UNCURRY,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.69 ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.69 => ( ( p @ ( ap @ ( c_2Ebool_2E_21 @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( ap @ ( c_2Epair_2EUNCURRY @ A_27a @ A_27b @ bool ) @ V0f ) ) )
% 5.44/5.69 <=> ( p @ ( ap @ ( c_2Ebool_2E_21 @ A_27a ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27a @ bool @ ( arr @ A_27b @ bool ) ) @ ( c_2Ebool_2E_21 @ A_27b ) ) @ V0f ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Epair_2EPAIR__FUN__THM,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del,A_27c: del,V0P: $i] :
% 5.44/5.69 ( ( mem @ V0P @ ( arr @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27c ) ) @ bool ) )
% 5.44/5.69 => ( ( p
% 5.44/5.69 @ ( ap @ ( c_2Ebool_2E_3F_21 @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27c ) ) )
% 5.44/5.69 @ ( lam @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27c ) )
% 5.44/5.69 @ ^ [V1f: $i] : ( ap @ V0P @ V1f ) ) ) )
% 5.44/5.69 <=> ( p
% 5.44/5.69 @ ( ap @ ( c_2Ebool_2E_3F_21 @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ A_27b ) @ ( arr @ A_27a @ A_27c ) ) )
% 5.44/5.69 @ ( lam @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ A_27b ) @ ( arr @ A_27a @ A_27c ) )
% 5.44/5.69 @ ^ [V2p: $i] :
% 5.44/5.69 ( ap @ V0P
% 5.44/5.69 @ ( lam @ A_27a
% 5.44/5.69 @ ^ [V3a: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27b @ A_27c ) @ ( ap @ ( ap @ ( c_2Epair_2EFST @ ( arr @ A_27a @ A_27b ) @ ( arr @ A_27a @ A_27c ) ) @ V2p ) @ V3a ) ) @ ( ap @ ( ap @ ( c_2Epair_2ESND @ ( arr @ A_27a @ A_27b ) @ ( arr @ A_27a @ A_27c ) ) @ V2p ) @ V3a ) ) ) ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(ax_thm_2Epair_2Epair__CASE__def,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del,A_27c: del,V0p: $i] :
% 5.44/5.69 ( ( mem @ V0p @ ( ty_2Epair_2Eprod @ A_27b @ A_27c ) )
% 5.44/5.69 => ! [V1f: $i] :
% 5.44/5.69 ( ( mem @ V1f @ ( arr @ A_27b @ ( arr @ A_27c @ A_27a ) ) )
% 5.44/5.69 => ( ( ap @ ( ap @ ( c_2Epair_2Epair__CASE @ A_27a @ A_27b @ A_27c ) @ V0p ) @ V1f )
% 5.44/5.69 = ( ap @ ( ap @ V1f @ ( ap @ ( c_2Epair_2EFST @ A_27b @ A_27c ) @ V0p ) ) @ ( ap @ ( c_2Epair_2ESND @ A_27b @ A_27c ) @ V0p ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Epair_2Epair__case__thm,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del,A_27c: del,V0x: $i] :
% 5.44/5.69 ( ( mem @ V0x @ A_27b )
% 5.44/5.69 => ! [V1y: $i] :
% 5.44/5.69 ( ( mem @ V1y @ A_27c )
% 5.44/5.69 => ! [V2f: $i] :
% 5.44/5.69 ( ( mem @ V2f @ ( arr @ A_27b @ ( arr @ A_27c @ A_27a ) ) )
% 5.44/5.69 => ( ( ap @ ( ap @ ( c_2Epair_2Epair__CASE @ A_27a @ A_27b @ A_27c ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27b @ A_27c ) @ V0x ) @ V1y ) ) @ V2f )
% 5.44/5.69 = ( ap @ ( ap @ V2f @ V0x ) @ V1y ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Epair_2Epair__case__def,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del,A_27c: del,V0x: $i] :
% 5.44/5.69 ( ( mem @ V0x @ A_27b )
% 5.44/5.69 => ! [V1y: $i] :
% 5.44/5.69 ( ( mem @ V1y @ A_27c )
% 5.44/5.69 => ! [V2f: $i] :
% 5.44/5.69 ( ( mem @ V2f @ ( arr @ A_27b @ ( arr @ A_27c @ A_27a ) ) )
% 5.44/5.69 => ( ( ap @ ( ap @ ( c_2Epair_2Epair__CASE @ A_27a @ A_27b @ A_27c ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27b @ A_27c ) @ V0x ) @ V1y ) ) @ V2f )
% 5.44/5.69 = ( ap @ ( ap @ V2f @ V0x ) @ V1y ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Epair_2Epair__case__cong,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del,A_27c: del,V0f_27: $i] :
% 5.44/5.69 ( ( mem @ V0f_27 @ ( arr @ A_27b @ ( arr @ A_27c @ A_27a ) ) )
% 5.44/5.69 => ! [V1M: $i] :
% 5.44/5.69 ( ( mem @ V1M @ ( ty_2Epair_2Eprod @ A_27b @ A_27c ) )
% 5.44/5.69 => ! [V2M_27: $i] :
% 5.44/5.69 ( ( mem @ V2M_27 @ ( ty_2Epair_2Eprod @ A_27b @ A_27c ) )
% 5.44/5.69 => ! [V3f: $i] :
% 5.44/5.69 ( ( mem @ V3f @ ( arr @ A_27b @ ( arr @ A_27c @ A_27a ) ) )
% 5.44/5.69 => ( ( ( V1M = V2M_27 )
% 5.44/5.69 & ! [V4x: $i] :
% 5.44/5.69 ( ( mem @ V4x @ A_27b )
% 5.44/5.69 => ! [V5y: $i] :
% 5.44/5.69 ( ( mem @ V5y @ A_27c )
% 5.44/5.69 => ( ( V2M_27
% 5.44/5.69 = ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27b @ A_27c ) @ V4x ) @ V5y ) )
% 5.44/5.69 => ( ( ap @ ( ap @ V3f @ V4x ) @ V5y )
% 5.44/5.69 = ( ap @ ( ap @ V0f_27 @ V4x ) @ V5y ) ) ) ) ) )
% 5.44/5.69 => ( ( ap @ ( ap @ ( c_2Epair_2Epair__CASE @ A_27a @ A_27b @ A_27c ) @ V1M ) @ V3f )
% 5.44/5.69 = ( ap @ ( ap @ ( c_2Epair_2Epair__CASE @ A_27a @ A_27b @ A_27c ) @ V2M_27 ) @ V0f_27 ) ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Epair_2Epair__case__eq,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del,A_27c: del,V0p: $i] :
% 5.44/5.69 ( ( mem @ V0p @ ( ty_2Epair_2Eprod @ A_27b @ A_27c ) )
% 5.44/5.69 => ! [V1f: $i] :
% 5.44/5.69 ( ( mem @ V1f @ ( arr @ A_27b @ ( arr @ A_27c @ A_27a ) ) )
% 5.44/5.69 => ! [V2v: $i] :
% 5.44/5.69 ( ( mem @ V2v @ A_27a )
% 5.44/5.69 => ( ( ( ap @ ( ap @ ( c_2Epair_2Epair__CASE @ A_27a @ A_27b @ A_27c ) @ V0p ) @ V1f )
% 5.44/5.69 = V2v )
% 5.44/5.69 <=> ? [V3x: $i] :
% 5.44/5.69 ( ( mem @ V3x @ A_27b )
% 5.44/5.69 & ? [V4y: $i] :
% 5.44/5.69 ( ( mem @ V4y @ A_27c )
% 5.44/5.69 & ( V0p
% 5.44/5.69 = ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27b @ A_27c ) @ V3x ) @ V4y ) )
% 5.44/5.69 & ( ( ap @ ( ap @ V1f @ V3x ) @ V4y )
% 5.44/5.69 = V2v ) ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Epair_2Edatatype__pair,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del,A_27c: del,V0pair: $i] :
% 5.44/5.69 ( ( mem @ V0pair @ ( arr @ ( arr @ A_27a @ ( arr @ A_27b @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) ) @ A_27c ) )
% 5.44/5.69 => ( p @ ( ap @ ( c_2Ebool_2EDATATYPE @ A_27c ) @ ( ap @ V0pair @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(ax_thm_2Epair_2ELEX__DEF,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del,V0R1: $i] :
% 5.44/5.69 ( ( mem @ V0R1 @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.69 => ! [V1R2: $i] :
% 5.44/5.69 ( ( mem @ V1R2 @ ( arr @ A_27b @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.69 => ( ( ap @ ( ap @ ( c_2Epair_2ELEX @ A_27a @ A_27b ) @ V0R1 ) @ V1R2 )
% 5.44/5.69 = ( ap @ ( c_2Epair_2EUNCURRY @ A_27a @ A_27b @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ bool ) )
% 5.44/5.69 @ ( lam @ A_27a
% 5.44/5.69 @ ^ [V2s: $i] :
% 5.44/5.69 ( lam @ A_27b
% 5.44/5.69 @ ^ [V3t: $i] :
% 5.44/5.69 ( ap @ ( c_2Epair_2EUNCURRY @ A_27a @ A_27b @ bool )
% 5.44/5.69 @ ( lam @ A_27a
% 5.44/5.69 @ ^ [V4u: $i] :
% 5.44/5.69 ( lam @ A_27b
% 5.44/5.69 @ ^ [V5v: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ ( ap @ V0R1 @ V2s ) @ V4u ) ) @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V2s ) @ V4u ) ) @ ( ap @ ( ap @ V1R2 @ V3t ) @ V5v ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Epair_2ELEX__DEF__THM,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del,V0R1: $i] :
% 5.44/5.69 ( ( mem @ V0R1 @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.69 => ! [V1R2: $i] :
% 5.44/5.69 ( ( mem @ V1R2 @ ( arr @ A_27b @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.69 => ! [V2a: $i] :
% 5.44/5.69 ( ( mem @ V2a @ A_27a )
% 5.44/5.69 => ! [V3b: $i] :
% 5.44/5.69 ( ( mem @ V3b @ A_27b )
% 5.44/5.69 => ! [V4c: $i] :
% 5.44/5.69 ( ( mem @ V4c @ A_27a )
% 5.44/5.69 => ! [V5d: $i] :
% 5.44/5.69 ( ( mem @ V5d @ A_27b )
% 5.44/5.69 => ( ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Epair_2ELEX @ A_27a @ A_27b ) @ V0R1 ) @ V1R2 ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V2a ) @ V3b ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V4c ) @ V5d ) ) )
% 5.44/5.69 <=> ( ( p @ ( ap @ ( ap @ V0R1 @ V2a ) @ V4c ) )
% 5.44/5.69 | ( ( V2a = V4c )
% 5.44/5.69 & ( p @ ( ap @ ( ap @ V1R2 @ V3b ) @ V5d ) ) ) ) ) ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Epair_2ELEX__MONO,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del,V0R1: $i] :
% 5.44/5.69 ( ( mem @ V0R1 @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.69 => ! [V1R2: $i] :
% 5.44/5.69 ( ( mem @ V1R2 @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.69 => ! [V2R3: $i] :
% 5.44/5.69 ( ( mem @ V2R3 @ ( arr @ A_27b @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.69 => ! [V3R4: $i] :
% 5.44/5.69 ( ( mem @ V3R4 @ ( arr @ A_27b @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.69 => ! [V4x: $i] :
% 5.44/5.69 ( ( mem @ V4x @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) )
% 5.44/5.69 => ! [V5y: $i] :
% 5.44/5.69 ( ( mem @ V5y @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) )
% 5.44/5.69 => ( ( ! [V6x: $i] :
% 5.44/5.69 ( ( mem @ V6x @ A_27a )
% 5.44/5.69 => ! [V7y: $i] :
% 5.44/5.69 ( ( mem @ V7y @ A_27a )
% 5.44/5.69 => ( ( p @ ( ap @ ( ap @ V0R1 @ V6x ) @ V7y ) )
% 5.44/5.69 => ( p @ ( ap @ ( ap @ V1R2 @ V6x ) @ V7y ) ) ) ) )
% 5.44/5.69 & ! [V8x: $i] :
% 5.44/5.69 ( ( mem @ V8x @ A_27b )
% 5.44/5.69 => ! [V9y: $i] :
% 5.44/5.69 ( ( mem @ V9y @ A_27b )
% 5.44/5.69 => ( ( p @ ( ap @ ( ap @ V2R3 @ V8x ) @ V9y ) )
% 5.44/5.69 => ( p @ ( ap @ ( ap @ V3R4 @ V8x ) @ V9y ) ) ) ) ) )
% 5.44/5.69 => ( ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Epair_2ELEX @ A_27a @ A_27b ) @ V0R1 ) @ V2R3 ) @ V4x ) @ V5y ) )
% 5.44/5.69 => ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Epair_2ELEX @ A_27a @ A_27b ) @ V1R2 ) @ V3R4 ) @ V4x ) @ V5y ) ) ) ) ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Epair_2EWF__LEX,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.44/5.69 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.69 => ! [V1Q: $i] :
% 5.44/5.69 ( ( mem @ V1Q @ ( arr @ A_27b @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.69 => ( ( ( p @ ( ap @ ( c_2Erelation_2EWF @ A_27a ) @ V0R ) )
% 5.44/5.69 & ( p @ ( ap @ ( c_2Erelation_2EWF @ A_27b ) @ V1Q ) ) )
% 5.44/5.69 => ( p @ ( ap @ ( c_2Erelation_2EWF @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Epair_2ELEX @ A_27a @ A_27b ) @ V0R ) @ V1Q ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(ax_thm_2Epair_2ERPROD__DEF,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del,V0R1: $i] :
% 5.44/5.69 ( ( mem @ V0R1 @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.69 => ! [V1R2: $i] :
% 5.44/5.69 ( ( mem @ V1R2 @ ( arr @ A_27b @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.69 => ( ( ap @ ( ap @ ( c_2Epair_2ERPROD @ A_27a @ A_27b ) @ V0R1 ) @ V1R2 )
% 5.44/5.69 = ( ap @ ( c_2Epair_2EUNCURRY @ A_27a @ A_27b @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ bool ) )
% 5.44/5.69 @ ( lam @ A_27a
% 5.44/5.69 @ ^ [V2s: $i] :
% 5.44/5.69 ( lam @ A_27b
% 5.44/5.69 @ ^ [V3t: $i] :
% 5.44/5.69 ( ap @ ( c_2Epair_2EUNCURRY @ A_27a @ A_27b @ bool )
% 5.44/5.69 @ ( lam @ A_27a
% 5.44/5.69 @ ^ [V4u: $i] :
% 5.44/5.69 ( lam @ A_27b
% 5.44/5.69 @ ^ [V5v: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ V0R1 @ V2s ) @ V4u ) ) @ ( ap @ ( ap @ V1R2 @ V3t ) @ V5v ) ) ) ) ) ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Epair_2EWF__RPROD,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.44/5.69 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.69 => ! [V1Q: $i] :
% 5.44/5.69 ( ( mem @ V1Q @ ( arr @ A_27b @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.69 => ( ( ( p @ ( ap @ ( c_2Erelation_2EWF @ A_27a ) @ V0R ) )
% 5.44/5.69 & ( p @ ( ap @ ( c_2Erelation_2EWF @ A_27b ) @ V1Q ) ) )
% 5.44/5.69 => ( p @ ( ap @ ( c_2Erelation_2EWF @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Epair_2ERPROD @ A_27a @ A_27b ) @ V0R ) @ V1Q ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Epair_2Etotal__LEX,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del,V0R1: $i] :
% 5.44/5.69 ( ( mem @ V0R1 @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.69 => ! [V1R2: $i] :
% 5.44/5.69 ( ( mem @ V1R2 @ ( arr @ A_27b @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.69 => ( ( ( p @ ( ap @ ( c_2Erelation_2Etotal @ A_27a ) @ V0R1 ) )
% 5.44/5.69 & ( p @ ( ap @ ( c_2Erelation_2Etotal @ A_27b ) @ V1R2 ) ) )
% 5.44/5.69 => ( p @ ( ap @ ( c_2Erelation_2Etotal @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Epair_2ELEX @ A_27a @ A_27b ) @ V0R1 ) @ V1R2 ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Epair_2Etransitive__LEX,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del,V0R1: $i] :
% 5.44/5.69 ( ( mem @ V0R1 @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.69 => ! [V1R2: $i] :
% 5.44/5.69 ( ( mem @ V1R2 @ ( arr @ A_27b @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.69 => ( ( ( p @ ( ap @ ( c_2Erelation_2Etransitive @ A_27a ) @ V0R1 ) )
% 5.44/5.69 & ( p @ ( ap @ ( c_2Erelation_2Etransitive @ A_27b ) @ V1R2 ) ) )
% 5.44/5.69 => ( p @ ( ap @ ( c_2Erelation_2Etransitive @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Epair_2ELEX @ A_27a @ A_27b ) @ V0R1 ) @ V1R2 ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Epair_2Ereflexive__LEX,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del,V0R1: $i] :
% 5.44/5.69 ( ( mem @ V0R1 @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.69 => ! [V1R2: $i] :
% 5.44/5.69 ( ( mem @ V1R2 @ ( arr @ A_27b @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.69 => ( ( p @ ( ap @ ( c_2Erelation_2Ereflexive @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Epair_2ELEX @ A_27a @ A_27b ) @ V0R1 ) @ V1R2 ) ) )
% 5.44/5.69 <=> ( ( p @ ( ap @ ( c_2Erelation_2Ereflexive @ A_27a ) @ V0R1 ) )
% 5.44/5.69 | ( p @ ( ap @ ( c_2Erelation_2Ereflexive @ A_27b ) @ V1R2 ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Epair_2Esymmetric__LEX,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del,V0R1: $i] :
% 5.44/5.69 ( ( mem @ V0R1 @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.69 => ! [V1R2: $i] :
% 5.44/5.69 ( ( mem @ V1R2 @ ( arr @ A_27b @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.69 => ( ( ( p @ ( ap @ ( c_2Erelation_2Esymmetric @ A_27a ) @ V0R1 ) )
% 5.44/5.69 & ( p @ ( ap @ ( c_2Erelation_2Esymmetric @ A_27b ) @ V1R2 ) ) )
% 5.44/5.69 => ( p @ ( ap @ ( c_2Erelation_2Esymmetric @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Epair_2ELEX @ A_27a @ A_27b ) @ V0R1 ) @ V1R2 ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Epair_2ELEX__CONG,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del,V0R1: $i] :
% 5.44/5.69 ( ( mem @ V0R1 @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.69 => ! [V1R2: $i] :
% 5.44/5.69 ( ( mem @ V1R2 @ ( arr @ A_27b @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.69 => ! [V2v1: $i] :
% 5.44/5.69 ( ( mem @ V2v1 @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) )
% 5.44/5.69 => ! [V3v2: $i] :
% 5.44/5.69 ( ( mem @ V3v2 @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) )
% 5.44/5.69 => ! [V4R1_27: $i] :
% 5.44/5.69 ( ( mem @ V4R1_27 @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.69 => ! [V5R2_27: $i] :
% 5.44/5.69 ( ( mem @ V5R2_27 @ ( arr @ A_27b @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.69 => ! [V6v1_27: $i] :
% 5.44/5.69 ( ( mem @ V6v1_27 @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) )
% 5.44/5.69 => ! [V7v2_27: $i] :
% 5.44/5.69 ( ( mem @ V7v2_27 @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) )
% 5.44/5.69 => ( ( ( V2v1 = V6v1_27 )
% 5.44/5.69 & ( V3v2 = V7v2_27 )
% 5.44/5.69 & ! [V8a: $i] :
% 5.44/5.69 ( ( mem @ V8a @ A_27a )
% 5.44/5.69 => ! [V9b: $i] :
% 5.44/5.69 ( ( mem @ V9b @ A_27b )
% 5.44/5.69 => ! [V10c: $i] :
% 5.44/5.69 ( ( mem @ V10c @ A_27a )
% 5.44/5.69 => ! [V11d: $i] :
% 5.44/5.69 ( ( mem @ V11d @ A_27b )
% 5.44/5.69 => ( ( ( V6v1_27
% 5.44/5.69 = ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V8a ) @ V9b ) )
% 5.44/5.69 & ( V7v2_27
% 5.44/5.69 = ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V10c ) @ V11d ) ) )
% 5.44/5.69 => ( ( p @ ( ap @ ( ap @ V0R1 @ V8a ) @ V10c ) )
% 5.44/5.69 <=> ( p @ ( ap @ ( ap @ V4R1_27 @ V8a ) @ V10c ) ) ) ) ) ) ) )
% 5.44/5.69 & ! [V12a: $i] :
% 5.44/5.69 ( ( mem @ V12a @ A_27a )
% 5.44/5.69 => ! [V13b: $i] :
% 5.44/5.69 ( ( mem @ V13b @ A_27b )
% 5.44/5.69 => ! [V14c: $i] :
% 5.44/5.69 ( ( mem @ V14c @ A_27a )
% 5.44/5.69 => ! [V15d: $i] :
% 5.44/5.69 ( ( mem @ V15d @ A_27b )
% 5.44/5.69 => ( ( ( V6v1_27
% 5.44/5.69 = ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V12a ) @ V13b ) )
% 5.44/5.69 & ( V7v2_27
% 5.44/5.69 = ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V14c ) @ V15d ) )
% 5.44/5.69 & ( V12a = V14c ) )
% 5.44/5.69 => ( ( p @ ( ap @ ( ap @ V1R2 @ V13b ) @ V15d ) )
% 5.44/5.69 <=> ( p @ ( ap @ ( ap @ V5R2_27 @ V13b ) @ V15d ) ) ) ) ) ) ) ) )
% 5.44/5.69 => ( ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Epair_2ELEX @ A_27a @ A_27b ) @ V0R1 ) @ V1R2 ) @ V2v1 ) @ V3v2 ) )
% 5.44/5.69 <=> ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Epair_2ELEX @ A_27a @ A_27b ) @ V4R1_27 ) @ V5R2_27 ) @ V6v1_27 ) @ V7v2_27 ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Epair_2EFST__EQ__EQUIV,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del,V0p: $i] :
% 5.44/5.69 ( ( mem @ V0p @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) )
% 5.44/5.69 => ! [V1x: $i] :
% 5.44/5.69 ( ( mem @ V1x @ A_27a )
% 5.44/5.69 => ( ( ( ap @ ( c_2Epair_2EFST @ A_27a @ A_27b ) @ V0p )
% 5.44/5.69 = V1x )
% 5.44/5.69 <=> ? [V2y: $i] :
% 5.44/5.69 ( ( mem @ V2y @ A_27b )
% 5.44/5.69 & ( V0p
% 5.44/5.69 = ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V1x ) @ V2y ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Epair_2ESND__EQ__EQUIV,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del,V0p: $i] :
% 5.44/5.69 ( ( mem @ V0p @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) )
% 5.44/5.69 => ! [V1y: $i] :
% 5.44/5.69 ( ( mem @ V1y @ A_27a )
% 5.44/5.69 => ( ( ( ap @ ( c_2Epair_2ESND @ A_27b @ A_27a ) @ V0p )
% 5.44/5.69 = V1y )
% 5.44/5.69 <=> ? [V2x: $i] :
% 5.44/5.69 ( ( mem @ V2x @ A_27b )
% 5.44/5.69 & ( V0p
% 5.44/5.69 = ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27b @ A_27a ) @ V2x ) @ V1y ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 %------------------------------------------------------------------------------
% 5.44/5.69 %------------------------------------------------------------------------------
% 5.44/5.69 thf(tp_c_2Eprim__rec_2E_3C,type,
% 5.44/5.69 c_2Eprim__rec_2E_3C: $i ).
% 5.44/5.69
% 5.44/5.69 thf(mem_c_2Eprim__rec_2E_3C,axiom,
% 5.44/5.69 mem @ c_2Eprim__rec_2E_3C @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ bool ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(tp_c_2Eprim__rec_2EPRE,type,
% 5.44/5.69 c_2Eprim__rec_2EPRE: $i ).
% 5.44/5.69
% 5.44/5.69 thf(mem_c_2Eprim__rec_2EPRE,axiom,
% 5.44/5.69 mem @ c_2Eprim__rec_2EPRE @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ).
% 5.44/5.69
% 5.44/5.69 thf(stp_fo_c_2Eprim__rec_2EPRE,type,
% 5.44/5.69 fo__c_2Eprim__rec_2EPRE: tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum ).
% 5.44/5.69
% 5.44/5.69 thf(stp_eq_fo_c_2Eprim__rec_2EPRE,axiom,
% 5.44/5.69 ! [X0: tp__ty_2Enum_2Enum] :
% 5.44/5.69 ( ( inj__ty_2Enum_2Enum @ ( fo__c_2Eprim__rec_2EPRE @ X0 ) )
% 5.44/5.69 = ( ap @ c_2Eprim__rec_2EPRE @ ( inj__ty_2Enum_2Enum @ X0 ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(tp_c_2Eprim__rec_2EPRIM__REC,type,
% 5.44/5.69 c_2Eprim__rec_2EPRIM__REC: del > $i ).
% 5.44/5.69
% 5.44/5.69 thf(mem_c_2Eprim__rec_2EPRIM__REC,axiom,
% 5.44/5.69 ! [A_27a: del] : ( mem @ ( c_2Eprim__rec_2EPRIM__REC @ A_27a ) @ ( arr @ A_27a @ ( arr @ ( arr @ A_27a @ ( arr @ ty_2Enum_2Enum @ A_27a ) ) @ ( arr @ ty_2Enum_2Enum @ A_27a ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(tp_c_2Eprim__rec_2EPRIM__REC__FUN,type,
% 5.44/5.69 c_2Eprim__rec_2EPRIM__REC__FUN: del > $i ).
% 5.44/5.69
% 5.44/5.69 thf(mem_c_2Eprim__rec_2EPRIM__REC__FUN,axiom,
% 5.44/5.69 ! [A_27a: del] : ( mem @ ( c_2Eprim__rec_2EPRIM__REC__FUN @ A_27a ) @ ( arr @ A_27a @ ( arr @ ( arr @ A_27a @ ( arr @ ty_2Enum_2Enum @ A_27a ) ) @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ A_27a ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(tp_c_2Eprim__rec_2ESIMP__REC,type,
% 5.44/5.69 c_2Eprim__rec_2ESIMP__REC: del > $i ).
% 5.44/5.69
% 5.44/5.69 thf(mem_c_2Eprim__rec_2ESIMP__REC,axiom,
% 5.44/5.69 ! [A_27a: del] : ( mem @ ( c_2Eprim__rec_2ESIMP__REC @ A_27a ) @ ( arr @ A_27a @ ( arr @ ( arr @ A_27a @ A_27a ) @ ( arr @ ty_2Enum_2Enum @ A_27a ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(tp_c_2Eprim__rec_2ESIMP__REC__REL,type,
% 5.44/5.69 c_2Eprim__rec_2ESIMP__REC__REL: del > $i ).
% 5.44/5.69
% 5.44/5.69 thf(mem_c_2Eprim__rec_2ESIMP__REC__REL,axiom,
% 5.44/5.69 ! [A_27a: del] : ( mem @ ( c_2Eprim__rec_2ESIMP__REC__REL @ A_27a ) @ ( arr @ ( arr @ ty_2Enum_2Enum @ A_27a ) @ ( arr @ A_27a @ ( arr @ ( arr @ A_27a @ A_27a ) @ ( arr @ ty_2Enum_2Enum @ bool ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(tp_c_2Eprim__rec_2Emeasure,type,
% 5.44/5.69 c_2Eprim__rec_2Emeasure: del > $i ).
% 5.44/5.69
% 5.44/5.69 thf(mem_c_2Eprim__rec_2Emeasure,axiom,
% 5.44/5.69 ! [A_27a: del] : ( mem @ ( c_2Eprim__rec_2Emeasure @ A_27a ) @ ( arr @ ( arr @ A_27a @ ty_2Enum_2Enum ) @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(tp_c_2Eprim__rec_2Ewellfounded,type,
% 5.44/5.69 c_2Eprim__rec_2Ewellfounded: del > $i ).
% 5.44/5.69
% 5.44/5.69 thf(mem_c_2Eprim__rec_2Ewellfounded,axiom,
% 5.44/5.69 ! [A_27a: del] : ( mem @ ( c_2Eprim__rec_2Ewellfounded @ A_27a ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) @ bool ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(ax_thm_2Eprim__rec_2ELESS__DEF,axiom,
% 5.44/5.69 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.69 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.69 <=> ? [V2P: $i] :
% 5.44/5.69 ( ( mem @ V2P @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.44/5.69 & ! [V3n: tp__ty_2Enum_2Enum] :
% 5.44/5.69 ( ( p @ ( ap @ V2P @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) )
% 5.44/5.69 => ( p @ ( ap @ V2P @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) )
% 5.44/5.69 & ( p @ ( ap @ V2P @ ( inj__ty_2Enum_2Enum @ V0m ) ) )
% 5.44/5.69 & ~ ( p @ ( ap @ V2P @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Eprim__rec_2EINV__SUC__EQ,axiom,
% 5.44/5.69 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.69 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0m ) ) )
% 5.44/5.69 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.44/5.69 <=> ( V0m = V1n ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(ax_thm_2Eprim__rec_2EPRE__DEF,axiom,
% 5.44/5.69 ! [V0m: tp__ty_2Enum_2Enum] :
% 5.44/5.69 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Eprim__rec_2EPRE @ ( inj__ty_2Enum_2Enum @ V0m ) ) )
% 5.44/5.69 = ( surj__ty_2Enum_2Enum
% 5.44/5.69 @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) )
% 5.44/5.69 @ ( ap @ ( c_2Emin_2E_40 @ ty_2Enum_2Enum )
% 5.44/5.69 @ ( lam @ ty_2Enum_2Enum
% 5.44/5.69 @ ^ [V1n: $i] : ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( ap @ c_2Enum_2ESUC @ V1n ) ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Eprim__rec_2EPRE,axiom,
% 5.44/5.69 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Eprim__rec_2EPRE @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.44/5.69 = fo__c_2Enum_2E0 )
% 5.44/5.69 & ! [V0m: tp__ty_2Enum_2Enum] :
% 5.44/5.69 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Eprim__rec_2EPRE @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) )
% 5.44/5.69 = V0m ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Eprim__rec_2ELESS__REFL,axiom,
% 5.44/5.69 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.69 ~ ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Eprim__rec_2ESUC__LESS,axiom,
% 5.44/5.69 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.69 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.69 => ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Eprim__rec_2ENOT__LESS__0,axiom,
% 5.44/5.69 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.69 ~ ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Eprim__rec_2ELESS__0,axiom,
% 5.44/5.69 ! [V0n: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Eprim__rec_2ELESS__0__0,axiom,
% 5.44/5.69 p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Eprim__rec_2ELESS__MONO,axiom,
% 5.44/5.69 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.69 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.69 => ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Eprim__rec_2ELESS__MONO__REV,axiom,
% 5.44/5.69 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.69 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.44/5.69 => ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Eprim__rec_2ELESS__MONO__EQ,axiom,
% 5.44/5.69 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.69 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.44/5.69 <=> ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Eprim__rec_2ETC__IM__RTC__SUC,axiom,
% 5.44/5.69 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.69 ( ( p
% 5.44/5.69 @ ( ap
% 5.44/5.69 @ ( ap
% 5.44/5.69 @ ( ap @ ( c_2Erelation_2ETC @ ty_2Enum_2Enum )
% 5.44/5.69 @ ( lam @ ty_2Enum_2Enum
% 5.44/5.69 @ ^ [V2x: $i] :
% 5.44/5.69 ( lam @ ty_2Enum_2Enum
% 5.44/5.69 @ ^ [V3y: $i] : ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ V3y ) @ ( ap @ c_2Enum_2ESUC @ V2x ) ) ) ) )
% 5.44/5.69 @ ( inj__ty_2Enum_2Enum @ V0m ) )
% 5.44/5.69 @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.44/5.69 <=> ( p
% 5.44/5.69 @ ( ap
% 5.44/5.69 @ ( ap
% 5.44/5.69 @ ( ap @ ( c_2Erelation_2ERTC @ ty_2Enum_2Enum )
% 5.44/5.69 @ ( lam @ ty_2Enum_2Enum
% 5.44/5.69 @ ^ [V4x: $i] :
% 5.44/5.69 ( lam @ ty_2Enum_2Enum
% 5.44/5.69 @ ^ [V5y: $i] : ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ V5y ) @ ( ap @ c_2Enum_2ESUC @ V4x ) ) ) ) )
% 5.44/5.69 @ ( inj__ty_2Enum_2Enum @ V0m ) )
% 5.44/5.69 @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Eprim__rec_2ERTC__IM__TC,axiom,
% 5.44/5.69 ! [A_27a: del,V0f: $i] :
% 5.44/5.69 ( ( mem @ V0f @ ( arr @ A_27a @ A_27a ) )
% 5.44/5.69 => ! [V1m: $i] :
% 5.44/5.69 ( ( mem @ V1m @ A_27a )
% 5.44/5.69 => ! [V2n: $i] :
% 5.44/5.69 ( ( mem @ V2n @ A_27a )
% 5.44/5.69 => ( ( p
% 5.44/5.69 @ ( ap
% 5.44/5.69 @ ( ap
% 5.44/5.69 @ ( ap @ ( c_2Erelation_2ERTC @ A_27a )
% 5.44/5.69 @ ( lam @ A_27a
% 5.44/5.69 @ ^ [V3x: $i] :
% 5.44/5.69 ( lam @ A_27a
% 5.44/5.69 @ ^ [V4y: $i] : ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V4y ) @ ( ap @ V0f @ V3x ) ) ) ) )
% 5.44/5.69 @ ( ap @ V0f @ V1m ) )
% 5.44/5.69 @ V2n ) )
% 5.44/5.69 <=> ( p
% 5.44/5.69 @ ( ap
% 5.44/5.69 @ ( ap
% 5.44/5.69 @ ( ap @ ( c_2Erelation_2ETC @ A_27a )
% 5.44/5.69 @ ( lam @ A_27a
% 5.44/5.69 @ ^ [V5x: $i] :
% 5.44/5.69 ( lam @ A_27a
% 5.44/5.69 @ ^ [V6y: $i] : ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V6y ) @ ( ap @ V0f @ V5x ) ) ) ) )
% 5.44/5.69 @ V1m )
% 5.44/5.69 @ V2n ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Eprim__rec_2ELESS__ALT,axiom,
% 5.44/5.69 ( c_2Eprim__rec_2E_3C
% 5.44/5.69 = ( ap @ ( c_2Erelation_2ETC @ ty_2Enum_2Enum )
% 5.44/5.69 @ ( lam @ ty_2Enum_2Enum
% 5.44/5.69 @ ^ [V0x: $i] :
% 5.44/5.69 ( lam @ ty_2Enum_2Enum
% 5.44/5.69 @ ^ [V1y: $i] : ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ V1y ) @ ( ap @ c_2Enum_2ESUC @ V0x ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Eprim__rec_2ELESS__SUC__REFL,axiom,
% 5.44/5.69 ! [V0n: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Eprim__rec_2ELESS__SUC,axiom,
% 5.44/5.69 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.69 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.69 => ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Eprim__rec_2ELESS__LEMMA1,axiom,
% 5.44/5.69 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.69 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.44/5.69 => ( ( V0m = V1n )
% 5.44/5.69 | ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Eprim__rec_2ELESS__LEMMA2,axiom,
% 5.44/5.69 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.69 ( ( ( V0m = V1n )
% 5.44/5.69 | ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.44/5.69 => ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Eprim__rec_2ELESS__THM,axiom,
% 5.44/5.69 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.69 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.44/5.69 <=> ( ( V0m = V1n )
% 5.44/5.69 | ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Eprim__rec_2ELESS__SUC__IMP,axiom,
% 5.44/5.69 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.69 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.44/5.69 => ( ( V0m != V1n )
% 5.44/5.69 => ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Eprim__rec_2EEQ__LESS,axiom,
% 5.44/5.69 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.69 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0m ) ) )
% 5.44/5.69 = V1n )
% 5.44/5.69 => ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Eprim__rec_2ESUC__ID,axiom,
% 5.44/5.69 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.69 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.69 != V0n ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Eprim__rec_2ENOT__LESS__EQ,axiom,
% 5.44/5.69 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.69 ( ( V0m = V1n )
% 5.44/5.69 => ~ ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Eprim__rec_2ELESS__NOT__EQ,axiom,
% 5.44/5.69 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.69 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.69 => ( V0m != V1n ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(ax_thm_2Eprim__rec_2ESIMP__REC__REL,axiom,
% 5.44/5.69 ! [A_27a: del,V0fun: $i] :
% 5.44/5.69 ( ( mem @ V0fun @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.44/5.69 => ! [V1x: $i] :
% 5.44/5.69 ( ( mem @ V1x @ A_27a )
% 5.44/5.69 => ! [V2f: $i] :
% 5.44/5.69 ( ( mem @ V2f @ ( arr @ A_27a @ A_27a ) )
% 5.44/5.69 => ! [V3n: tp__ty_2Enum_2Enum] :
% 5.44/5.69 ( ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Eprim__rec_2ESIMP__REC__REL @ A_27a ) @ V0fun ) @ V1x ) @ V2f ) @ ( inj__ty_2Enum_2Enum @ V3n ) ) )
% 5.44/5.69 <=> ( ( ( ap @ V0fun @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) )
% 5.44/5.69 = V1x )
% 5.44/5.69 & ! [V4m: tp__ty_2Enum_2Enum] :
% 5.44/5.69 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V4m ) ) @ ( inj__ty_2Enum_2Enum @ V3n ) ) )
% 5.44/5.69 => ( ( ap @ V0fun @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V4m ) ) )
% 5.44/5.69 = ( ap @ V2f @ ( ap @ V0fun @ ( inj__ty_2Enum_2Enum @ V4m ) ) ) ) ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Eprim__rec_2ESIMP__REC__EXISTS,axiom,
% 5.44/5.69 ! [A_27a: del,V0x: $i] :
% 5.44/5.69 ( ( mem @ V0x @ A_27a )
% 5.44/5.69 => ! [V1f: $i] :
% 5.44/5.69 ( ( mem @ V1f @ ( arr @ A_27a @ A_27a ) )
% 5.44/5.69 => ! [V2n: tp__ty_2Enum_2Enum] :
% 5.44/5.69 ? [V3fun: $i] :
% 5.44/5.69 ( ( mem @ V3fun @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.44/5.69 & ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Eprim__rec_2ESIMP__REC__REL @ A_27a ) @ V3fun ) @ V0x ) @ V1f ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Eprim__rec_2ESIMP__REC__REL__UNIQUE,axiom,
% 5.44/5.69 ! [A_27a: del,V0x: $i] :
% 5.44/5.69 ( ( mem @ V0x @ A_27a )
% 5.44/5.69 => ! [V1f: $i] :
% 5.44/5.69 ( ( mem @ V1f @ ( arr @ A_27a @ A_27a ) )
% 5.44/5.69 => ! [V2g1: $i] :
% 5.44/5.69 ( ( mem @ V2g1 @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.44/5.69 => ! [V3g2: $i] :
% 5.44/5.69 ( ( mem @ V3g2 @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.44/5.69 => ! [V4m1: tp__ty_2Enum_2Enum,V5m2: tp__ty_2Enum_2Enum] :
% 5.44/5.69 ( ( ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Eprim__rec_2ESIMP__REC__REL @ A_27a ) @ V2g1 ) @ V0x ) @ V1f ) @ ( inj__ty_2Enum_2Enum @ V4m1 ) ) )
% 5.44/5.69 & ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Eprim__rec_2ESIMP__REC__REL @ A_27a ) @ V3g2 ) @ V0x ) @ V1f ) @ ( inj__ty_2Enum_2Enum @ V5m2 ) ) ) )
% 5.44/5.69 => ! [V6n: tp__ty_2Enum_2Enum] :
% 5.44/5.69 ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V6n ) ) @ ( inj__ty_2Enum_2Enum @ V4m1 ) ) )
% 5.44/5.69 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V6n ) ) @ ( inj__ty_2Enum_2Enum @ V5m2 ) ) ) )
% 5.44/5.69 => ( ( ap @ V2g1 @ ( inj__ty_2Enum_2Enum @ V6n ) )
% 5.44/5.69 = ( ap @ V3g2 @ ( inj__ty_2Enum_2Enum @ V6n ) ) ) ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Eprim__rec_2ESIMP__REC__REL__UNIQUE__RESULT,axiom,
% 5.44/5.69 ! [A_27a: del,V0x: $i] :
% 5.44/5.69 ( ( mem @ V0x @ A_27a )
% 5.44/5.69 => ! [V1f: $i] :
% 5.44/5.69 ( ( mem @ V1f @ ( arr @ A_27a @ A_27a ) )
% 5.44/5.69 => ! [V2n: tp__ty_2Enum_2Enum] :
% 5.44/5.69 ( p
% 5.44/5.69 @ ( ap @ ( c_2Ebool_2E_3F_21 @ A_27a )
% 5.44/5.69 @ ( lam @ A_27a
% 5.44/5.69 @ ^ [V3y: $i] :
% 5.44/5.69 ( ap @ ( c_2Ebool_2E_3F @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.44/5.69 @ ( lam @ ( arr @ ty_2Enum_2Enum @ A_27a )
% 5.44/5.69 @ ^ [V4g: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Eprim__rec_2ESIMP__REC__REL @ A_27a ) @ V4g ) @ V0x ) @ V1f ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V3y ) @ ( ap @ V4g @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) ) ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(ax_thm_2Eprim__rec_2ESIMP__REC,axiom,
% 5.44/5.69 ! [A_27a: del,V0x: $i] :
% 5.44/5.69 ( ( mem @ V0x @ A_27a )
% 5.44/5.69 => ! [V1f_27: $i] :
% 5.44/5.69 ( ( mem @ V1f_27 @ ( arr @ A_27a @ A_27a ) )
% 5.44/5.69 => ! [V2n: tp__ty_2Enum_2Enum] :
% 5.44/5.69 ? [V3g: $i] :
% 5.44/5.69 ( ( mem @ V3g @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.44/5.69 & ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Eprim__rec_2ESIMP__REC__REL @ A_27a ) @ V3g ) @ V0x ) @ V1f_27 ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) )
% 5.44/5.69 & ( ( ap @ ( ap @ ( ap @ ( c_2Eprim__rec_2ESIMP__REC @ A_27a ) @ V0x ) @ V1f_27 ) @ ( inj__ty_2Enum_2Enum @ V2n ) )
% 5.44/5.69 = ( ap @ V3g @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Eprim__rec_2ELESS__SUC__SUC,axiom,
% 5.44/5.69 ! [V0m: tp__ty_2Enum_2Enum] :
% 5.44/5.69 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) )
% 5.44/5.69 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( ap @ c_2Enum_2ESUC @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Eprim__rec_2ESIMP__REC__THM,axiom,
% 5.44/5.69 ! [A_27a: del,V0x: $i] :
% 5.44/5.69 ( ( mem @ V0x @ A_27a )
% 5.44/5.69 => ! [V1f: $i] :
% 5.44/5.69 ( ( mem @ V1f @ ( arr @ A_27a @ A_27a ) )
% 5.44/5.69 => ( ( ( ap @ ( ap @ ( ap @ ( c_2Eprim__rec_2ESIMP__REC @ A_27a ) @ V0x ) @ V1f ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) )
% 5.44/5.69 = V0x )
% 5.44/5.69 & ! [V2m: tp__ty_2Enum_2Enum] :
% 5.44/5.69 ( ( ap @ ( ap @ ( ap @ ( c_2Eprim__rec_2ESIMP__REC @ A_27a ) @ V0x ) @ V1f ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V2m ) ) )
% 5.44/5.69 = ( ap @ V1f @ ( ap @ ( ap @ ( ap @ ( c_2Eprim__rec_2ESIMP__REC @ A_27a ) @ V0x ) @ V1f ) @ ( inj__ty_2Enum_2Enum @ V2m ) ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(ax_thm_2Eprim__rec_2EPRIM__REC__FUN,axiom,
% 5.44/5.69 ! [A_27a: del,V0x: $i] :
% 5.44/5.69 ( ( mem @ V0x @ A_27a )
% 5.44/5.69 => ! [V1f: $i] :
% 5.44/5.69 ( ( mem @ V1f @ ( arr @ A_27a @ ( arr @ ty_2Enum_2Enum @ A_27a ) ) )
% 5.44/5.69 => ( ( ap @ ( ap @ ( c_2Eprim__rec_2EPRIM__REC__FUN @ A_27a ) @ V0x ) @ V1f )
% 5.44/5.69 = ( ap
% 5.44/5.69 @ ( ap @ ( c_2Eprim__rec_2ESIMP__REC @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.44/5.69 @ ( lam @ ty_2Enum_2Enum
% 5.44/5.69 @ ^ [V2n: $i] : V0x ) )
% 5.44/5.69 @ ( lam @ ( arr @ ty_2Enum_2Enum @ A_27a )
% 5.44/5.69 @ ^ [V3fun: $i] :
% 5.44/5.69 ( lam @ ty_2Enum_2Enum
% 5.44/5.69 @ ^ [V4n: $i] : ( ap @ ( ap @ V1f @ ( ap @ V3fun @ ( ap @ c_2Eprim__rec_2EPRE @ V4n ) ) ) @ V4n ) ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Eprim__rec_2EPRIM__REC__EQN,axiom,
% 5.44/5.69 ! [A_27a: del,V0x: $i] :
% 5.44/5.69 ( ( mem @ V0x @ A_27a )
% 5.44/5.69 => ! [V1f: $i] :
% 5.44/5.69 ( ( mem @ V1f @ ( arr @ A_27a @ ( arr @ ty_2Enum_2Enum @ A_27a ) ) )
% 5.44/5.69 => ( ! [V2n: tp__ty_2Enum_2Enum] :
% 5.44/5.69 ( ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Eprim__rec_2EPRIM__REC__FUN @ A_27a ) @ V0x ) @ V1f ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) )
% 5.44/5.69 = V0x )
% 5.44/5.69 & ! [V3m: tp__ty_2Enum_2Enum,V4n: tp__ty_2Enum_2Enum] :
% 5.44/5.69 ( ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Eprim__rec_2EPRIM__REC__FUN @ A_27a ) @ V0x ) @ V1f ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V3m ) ) ) @ ( inj__ty_2Enum_2Enum @ V4n ) )
% 5.44/5.69 = ( ap @ ( ap @ V1f @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Eprim__rec_2EPRIM__REC__FUN @ A_27a ) @ V0x ) @ V1f ) @ ( inj__ty_2Enum_2Enum @ V3m ) ) @ ( ap @ c_2Eprim__rec_2EPRE @ ( inj__ty_2Enum_2Enum @ V4n ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V4n ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(ax_thm_2Eprim__rec_2EPRIM__REC,axiom,
% 5.44/5.69 ! [A_27a: del,V0x: $i] :
% 5.44/5.69 ( ( mem @ V0x @ A_27a )
% 5.44/5.69 => ! [V1f: $i] :
% 5.44/5.69 ( ( mem @ V1f @ ( arr @ A_27a @ ( arr @ ty_2Enum_2Enum @ A_27a ) ) )
% 5.44/5.69 => ! [V2m: tp__ty_2Enum_2Enum] :
% 5.44/5.69 ( ( ap @ ( ap @ ( ap @ ( c_2Eprim__rec_2EPRIM__REC @ A_27a ) @ V0x ) @ V1f ) @ ( inj__ty_2Enum_2Enum @ V2m ) )
% 5.44/5.69 = ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Eprim__rec_2EPRIM__REC__FUN @ A_27a ) @ V0x ) @ V1f ) @ ( inj__ty_2Enum_2Enum @ V2m ) ) @ ( ap @ c_2Eprim__rec_2EPRE @ ( inj__ty_2Enum_2Enum @ V2m ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Eprim__rec_2EPRIM__REC__THM,axiom,
% 5.44/5.69 ! [A_27a: del,V0x: $i] :
% 5.44/5.69 ( ( mem @ V0x @ A_27a )
% 5.44/5.69 => ! [V1f: $i] :
% 5.44/5.69 ( ( mem @ V1f @ ( arr @ A_27a @ ( arr @ ty_2Enum_2Enum @ A_27a ) ) )
% 5.44/5.69 => ( ( ( ap @ ( ap @ ( ap @ ( c_2Eprim__rec_2EPRIM__REC @ A_27a ) @ V0x ) @ V1f ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) )
% 5.44/5.69 = V0x )
% 5.44/5.69 & ! [V2m: tp__ty_2Enum_2Enum] :
% 5.44/5.69 ( ( ap @ ( ap @ ( ap @ ( c_2Eprim__rec_2EPRIM__REC @ A_27a ) @ V0x ) @ V1f ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V2m ) ) )
% 5.44/5.69 = ( ap @ ( ap @ V1f @ ( ap @ ( ap @ ( ap @ ( c_2Eprim__rec_2EPRIM__REC @ A_27a ) @ V0x ) @ V1f ) @ ( inj__ty_2Enum_2Enum @ V2m ) ) ) @ ( inj__ty_2Enum_2Enum @ V2m ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Eprim__rec_2EDC,axiom,
% 5.44/5.69 ! [A_27a: del,V0P: $i] :
% 5.44/5.69 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.44/5.69 => ! [V1R: $i] :
% 5.44/5.69 ( ( mem @ V1R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.69 => ! [V2a: $i] :
% 5.44/5.69 ( ( mem @ V2a @ A_27a )
% 5.44/5.69 => ( ( ( p @ ( ap @ V0P @ V2a ) )
% 5.44/5.69 & ! [V3x: $i] :
% 5.44/5.69 ( ( mem @ V3x @ A_27a )
% 5.44/5.69 => ( ( p @ ( ap @ V0P @ V3x ) )
% 5.44/5.69 => ? [V4y: $i] :
% 5.44/5.69 ( ( mem @ V4y @ A_27a )
% 5.44/5.69 & ( p @ ( ap @ V0P @ V4y ) )
% 5.44/5.69 & ( p @ ( ap @ ( ap @ V1R @ V3x ) @ V4y ) ) ) ) ) )
% 5.44/5.69 => ? [V5f: $i] :
% 5.44/5.69 ( ( mem @ V5f @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.44/5.69 & ( ( ap @ V5f @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) )
% 5.44/5.69 = V2a )
% 5.44/5.69 & ! [V6n: tp__ty_2Enum_2Enum] :
% 5.44/5.69 ( ( p @ ( ap @ V0P @ ( ap @ V5f @ ( inj__ty_2Enum_2Enum @ V6n ) ) ) )
% 5.44/5.69 & ( p @ ( ap @ ( ap @ V1R @ ( ap @ V5f @ ( inj__ty_2Enum_2Enum @ V6n ) ) ) @ ( ap @ V5f @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V6n ) ) ) ) ) ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Eprim__rec_2Enum__Axiom__old,axiom,
% 5.44/5.69 ! [A_27a: del,V0e: $i] :
% 5.44/5.69 ( ( mem @ V0e @ A_27a )
% 5.44/5.69 => ! [V1f: $i] :
% 5.44/5.69 ( ( mem @ V1f @ ( arr @ A_27a @ ( arr @ ty_2Enum_2Enum @ A_27a ) ) )
% 5.44/5.69 => ( p
% 5.44/5.69 @ ( ap @ ( c_2Ebool_2E_3F_21 @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.44/5.69 @ ( lam @ ( arr @ ty_2Enum_2Enum @ A_27a )
% 5.44/5.69 @ ^ [V2fn1: $i] :
% 5.44/5.69 ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ ( ap @ V2fn1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) @ V0e ) )
% 5.44/5.69 @ ( ap @ ( c_2Ebool_2E_21 @ ty_2Enum_2Enum )
% 5.44/5.69 @ ( lam @ ty_2Enum_2Enum
% 5.44/5.69 @ ^ [V3n: $i] : ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ ( ap @ V2fn1 @ ( ap @ c_2Enum_2ESUC @ V3n ) ) ) @ ( ap @ ( ap @ V1f @ ( ap @ V2fn1 @ V3n ) ) @ V3n ) ) ) ) ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Eprim__rec_2Enum__Axiom,axiom,
% 5.44/5.69 ! [A_27a: del,V0e: $i] :
% 5.44/5.69 ( ( mem @ V0e @ A_27a )
% 5.44/5.69 => ! [V1f: $i] :
% 5.44/5.69 ( ( mem @ V1f @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ A_27a ) ) )
% 5.44/5.69 => ? [V2fn: $i] :
% 5.44/5.69 ( ( mem @ V2fn @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.44/5.69 & ( ( ap @ V2fn @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) )
% 5.44/5.69 = V0e )
% 5.44/5.69 & ! [V3n: tp__ty_2Enum_2Enum] :
% 5.44/5.69 ( ( ap @ V2fn @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V3n ) ) )
% 5.44/5.69 = ( ap @ ( ap @ V1f @ ( inj__ty_2Enum_2Enum @ V3n ) ) @ ( ap @ V2fn @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(ax_thm_2Eprim__rec_2Ewellfounded__def,axiom,
% 5.44/5.69 ! [A_27a: del,V0R: $i] :
% 5.44/5.69 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.69 => ( ( p @ ( ap @ ( c_2Eprim__rec_2Ewellfounded @ A_27a ) @ V0R ) )
% 5.44/5.69 <=> ~ ? [V1f: $i] :
% 5.44/5.69 ( ( mem @ V1f @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.44/5.69 & ! [V2n: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ V0R @ ( ap @ V1f @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) @ ( ap @ V1f @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Eprim__rec_2EWF__IFF__WELLFOUNDED,axiom,
% 5.44/5.69 ! [A_27a: del,V0R: $i] :
% 5.44/5.69 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.69 => ( ( p @ ( ap @ ( c_2Erelation_2EWF @ A_27a ) @ V0R ) )
% 5.44/5.69 <=> ( p @ ( ap @ ( c_2Eprim__rec_2Ewellfounded @ A_27a ) @ V0R ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Eprim__rec_2EWF__PRED,axiom,
% 5.44/5.69 ( p
% 5.44/5.69 @ ( ap @ ( c_2Erelation_2EWF @ ty_2Enum_2Enum )
% 5.44/5.69 @ ( lam @ ty_2Enum_2Enum
% 5.44/5.69 @ ^ [V0x: $i] :
% 5.44/5.69 ( lam @ ty_2Enum_2Enum
% 5.44/5.69 @ ^ [V1y: $i] : ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ V1y ) @ ( ap @ c_2Enum_2ESUC @ V0x ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Eprim__rec_2EWF__LESS,axiom,
% 5.44/5.69 p @ ( ap @ ( c_2Erelation_2EWF @ ty_2Enum_2Enum ) @ c_2Eprim__rec_2E_3C ) ).
% 5.44/5.69
% 5.44/5.69 thf(ax_thm_2Eprim__rec_2Emeasure__def,axiom,
% 5.44/5.69 ! [A_27a: del] :
% 5.44/5.69 ( ( c_2Eprim__rec_2Emeasure @ A_27a )
% 5.44/5.69 = ( ap @ ( c_2Erelation_2Einv__image @ A_27a @ ty_2Enum_2Enum ) @ c_2Eprim__rec_2E_3C ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Eprim__rec_2EWF__measure,axiom,
% 5.44/5.69 ! [A_27a: del,V0m: $i] :
% 5.44/5.69 ( ( mem @ V0m @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.44/5.69 => ( p @ ( ap @ ( c_2Erelation_2EWF @ A_27a ) @ ( ap @ ( c_2Eprim__rec_2Emeasure @ A_27a ) @ V0m ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Eprim__rec_2Emeasure__thm,axiom,
% 5.44/5.69 ! [A_27a: del,V0f: $i] :
% 5.44/5.69 ( ( mem @ V0f @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.44/5.69 => ! [V1x: $i] :
% 5.44/5.69 ( ( mem @ V1x @ A_27a )
% 5.44/5.69 => ! [V2y: $i] :
% 5.44/5.69 ( ( mem @ V2y @ A_27a )
% 5.44/5.69 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Eprim__rec_2Emeasure @ A_27a ) @ V0f ) @ V1x ) @ V2y ) )
% 5.44/5.69 <=> ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ V0f @ V1x ) ) @ ( ap @ V0f @ V2y ) ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 %------------------------------------------------------------------------------
% 5.44/5.69 %------------------------------------------------------------------------------
% 5.44/5.69 thf(tp_c_2Eposet_2Ebottom,type,
% 5.44/5.69 c_2Eposet_2Ebottom: del > $i ).
% 5.44/5.69
% 5.44/5.69 thf(mem_c_2Eposet_2Ebottom,axiom,
% 5.44/5.69 ! [A_27a: del] : ( mem @ ( c_2Eposet_2Ebottom @ A_27a ) @ ( arr @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) ) @ ( arr @ A_27a @ bool ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(tp_c_2Eposet_2Ecarrier,type,
% 5.44/5.69 c_2Eposet_2Ecarrier: del > $i ).
% 5.44/5.69
% 5.44/5.69 thf(mem_c_2Eposet_2Ecarrier,axiom,
% 5.44/5.69 ! [A_27a: del] : ( mem @ ( c_2Eposet_2Ecarrier @ A_27a ) @ ( arr @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) ) @ ( arr @ A_27a @ bool ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(tp_c_2Eposet_2Echain,type,
% 5.44/5.69 c_2Eposet_2Echain: del > $i ).
% 5.44/5.69
% 5.44/5.69 thf(mem_c_2Eposet_2Echain,axiom,
% 5.44/5.69 ! [A_27a: del] : ( mem @ ( c_2Eposet_2Echain @ A_27a ) @ ( arr @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) ) @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(tp_c_2Eposet_2Ecomplete,type,
% 5.44/5.69 c_2Eposet_2Ecomplete: del > $i ).
% 5.44/5.69
% 5.44/5.69 thf(mem_c_2Eposet_2Ecomplete,axiom,
% 5.44/5.69 ! [A_27a: del] : ( mem @ ( c_2Eposet_2Ecomplete @ A_27a ) @ ( arr @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) ) @ bool ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(tp_c_2Eposet_2Econtinuous,type,
% 5.44/5.69 c_2Eposet_2Econtinuous: del > $i ).
% 5.44/5.69
% 5.44/5.69 thf(mem_c_2Eposet_2Econtinuous,axiom,
% 5.44/5.69 ! [A_27a: del] : ( mem @ ( c_2Eposet_2Econtinuous @ A_27a ) @ ( arr @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) ) @ ( arr @ ( arr @ A_27a @ A_27a ) @ bool ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(tp_c_2Eposet_2Edown__continuous,type,
% 5.44/5.69 c_2Eposet_2Edown__continuous: del > $i ).
% 5.44/5.69
% 5.44/5.69 thf(mem_c_2Eposet_2Edown__continuous,axiom,
% 5.44/5.69 ! [A_27a: del] : ( mem @ ( c_2Eposet_2Edown__continuous @ A_27a ) @ ( arr @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) ) @ ( arr @ ( arr @ A_27a @ A_27a ) @ bool ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(tp_c_2Eposet_2Efunction,type,
% 5.44/5.69 c_2Eposet_2Efunction: del > del > $i ).
% 5.44/5.69
% 5.44/5.69 thf(mem_c_2Eposet_2Efunction,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Eposet_2Efunction @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( arr @ A_27b @ bool ) @ ( arr @ ( arr @ A_27a @ A_27b ) @ bool ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(tp_c_2Eposet_2Egfp,type,
% 5.44/5.69 c_2Eposet_2Egfp: del > $i ).
% 5.44/5.69
% 5.44/5.69 thf(mem_c_2Eposet_2Egfp,axiom,
% 5.44/5.69 ! [A_27a: del] : ( mem @ ( c_2Eposet_2Egfp @ A_27a ) @ ( arr @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) ) @ ( arr @ ( arr @ A_27a @ A_27a ) @ ( arr @ A_27a @ bool ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(tp_c_2Eposet_2Eglb,type,
% 5.44/5.69 c_2Eposet_2Eglb: del > $i ).
% 5.44/5.69
% 5.44/5.69 thf(mem_c_2Eposet_2Eglb,axiom,
% 5.44/5.69 ! [A_27a: del] : ( mem @ ( c_2Eposet_2Eglb @ A_27a ) @ ( arr @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ bool ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(tp_c_2Eposet_2Elfp,type,
% 5.44/5.69 c_2Eposet_2Elfp: del > $i ).
% 5.44/5.69
% 5.44/5.69 thf(mem_c_2Eposet_2Elfp,axiom,
% 5.44/5.69 ! [A_27a: del] : ( mem @ ( c_2Eposet_2Elfp @ A_27a ) @ ( arr @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) ) @ ( arr @ ( arr @ A_27a @ A_27a ) @ ( arr @ A_27a @ bool ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(tp_c_2Eposet_2Elub,type,
% 5.44/5.69 c_2Eposet_2Elub: del > $i ).
% 5.44/5.69
% 5.44/5.69 thf(mem_c_2Eposet_2Elub,axiom,
% 5.44/5.69 ! [A_27a: del] : ( mem @ ( c_2Eposet_2Elub @ A_27a ) @ ( arr @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ bool ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(tp_c_2Eposet_2Emonotonic,type,
% 5.44/5.69 c_2Eposet_2Emonotonic: del > $i ).
% 5.44/5.69
% 5.44/5.69 thf(mem_c_2Eposet_2Emonotonic,axiom,
% 5.44/5.69 ! [A_27a: del] : ( mem @ ( c_2Eposet_2Emonotonic @ A_27a ) @ ( arr @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) ) @ ( arr @ ( arr @ A_27a @ A_27a ) @ bool ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(tp_c_2Eposet_2Epointwise__lift,type,
% 5.44/5.69 c_2Eposet_2Epointwise__lift: del > del > $i ).
% 5.44/5.69
% 5.44/5.69 thf(mem_c_2Eposet_2Epointwise__lift,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Eposet_2Epointwise__lift @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( ty_2Epair_2Eprod @ ( arr @ A_27b @ bool ) @ ( arr @ A_27b @ ( arr @ A_27b @ bool ) ) ) @ ( ty_2Epair_2Eprod @ ( arr @ ( arr @ A_27a @ A_27b ) @ bool ) @ ( arr @ ( arr @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ A_27b ) @ bool ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(tp_c_2Eposet_2Eposet,type,
% 5.44/5.69 c_2Eposet_2Eposet: del > $i ).
% 5.44/5.69
% 5.44/5.69 thf(mem_c_2Eposet_2Eposet,axiom,
% 5.44/5.69 ! [A_27a: del] : ( mem @ ( c_2Eposet_2Eposet @ A_27a ) @ ( arr @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) ) @ bool ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(tp_c_2Eposet_2Erelation,type,
% 5.44/5.69 c_2Eposet_2Erelation: del > $i ).
% 5.44/5.69
% 5.44/5.69 thf(mem_c_2Eposet_2Erelation,axiom,
% 5.44/5.69 ! [A_27a: del] : ( mem @ ( c_2Eposet_2Erelation @ A_27a ) @ ( arr @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(tp_c_2Eposet_2Etop,type,
% 5.44/5.69 c_2Eposet_2Etop: del > $i ).
% 5.44/5.69
% 5.44/5.69 thf(mem_c_2Eposet_2Etop,axiom,
% 5.44/5.69 ! [A_27a: del] : ( mem @ ( c_2Eposet_2Etop @ A_27a ) @ ( arr @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) ) @ ( arr @ A_27a @ bool ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(tp_c_2Eposet_2Eup__continuous,type,
% 5.44/5.69 c_2Eposet_2Eup__continuous: del > $i ).
% 5.44/5.69
% 5.44/5.69 thf(mem_c_2Eposet_2Eup__continuous,axiom,
% 5.44/5.69 ! [A_27a: del] : ( mem @ ( c_2Eposet_2Eup__continuous @ A_27a ) @ ( arr @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) ) @ ( arr @ ( arr @ A_27a @ A_27a ) @ bool ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(ax_thm_2Eposet_2Efunction__def,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del,V0a: $i] :
% 5.44/5.69 ( ( mem @ V0a @ ( arr @ A_27a @ bool ) )
% 5.44/5.69 => ! [V1b: $i] :
% 5.44/5.69 ( ( mem @ V1b @ ( arr @ A_27b @ bool ) )
% 5.44/5.69 => ! [V2f: $i] :
% 5.44/5.69 ( ( mem @ V2f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.69 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Eposet_2Efunction @ A_27a @ A_27b ) @ V0a ) @ V1b ) @ V2f ) )
% 5.44/5.69 <=> ! [V3x: $i] :
% 5.44/5.69 ( ( mem @ V3x @ A_27a )
% 5.44/5.69 => ( ( p @ ( ap @ V0a @ V3x ) )
% 5.44/5.69 => ( p @ ( ap @ V1b @ ( ap @ V2f @ V3x ) ) ) ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(ax_thm_2Eposet_2Eposet__def,axiom,
% 5.44/5.69 ! [A_27a: del,V0s: $i] :
% 5.44/5.69 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.69 => ! [V1r: $i] :
% 5.44/5.69 ( ( mem @ V1r @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.69 => ( ( p @ ( ap @ ( c_2Eposet_2Eposet @ A_27a ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) ) @ V0s ) @ V1r ) ) )
% 5.44/5.69 <=> ( ? [V2x: $i] :
% 5.44/5.69 ( ( mem @ V2x @ A_27a )
% 5.44/5.69 & ( p @ ( ap @ V0s @ V2x ) ) )
% 5.44/5.69 & ! [V3x: $i] :
% 5.44/5.69 ( ( mem @ V3x @ A_27a )
% 5.44/5.69 => ( ( p @ ( ap @ V0s @ V3x ) )
% 5.44/5.69 => ( p @ ( ap @ ( ap @ V1r @ V3x ) @ V3x ) ) ) )
% 5.44/5.69 & ! [V4x: $i] :
% 5.44/5.69 ( ( mem @ V4x @ A_27a )
% 5.44/5.69 => ! [V5y: $i] :
% 5.44/5.69 ( ( mem @ V5y @ A_27a )
% 5.44/5.69 => ( ( ( p @ ( ap @ V0s @ V4x ) )
% 5.44/5.69 & ( p @ ( ap @ V0s @ V5y ) )
% 5.44/5.69 & ( p @ ( ap @ ( ap @ V1r @ V4x ) @ V5y ) )
% 5.44/5.69 & ( p @ ( ap @ ( ap @ V1r @ V5y ) @ V4x ) ) )
% 5.44/5.69 => ( V4x = V5y ) ) ) )
% 5.44/5.69 & ! [V6x: $i] :
% 5.44/5.69 ( ( mem @ V6x @ A_27a )
% 5.44/5.69 => ! [V7y: $i] :
% 5.44/5.69 ( ( mem @ V7y @ A_27a )
% 5.44/5.69 => ! [V8z: $i] :
% 5.44/5.69 ( ( mem @ V8z @ A_27a )
% 5.44/5.69 => ( ( ( p @ ( ap @ V0s @ V6x ) )
% 5.44/5.69 & ( p @ ( ap @ V0s @ V7y ) )
% 5.44/5.69 & ( p @ ( ap @ V0s @ V8z ) )
% 5.44/5.69 & ( p @ ( ap @ ( ap @ V1r @ V6x ) @ V7y ) )
% 5.44/5.69 & ( p @ ( ap @ ( ap @ V1r @ V7y ) @ V8z ) ) )
% 5.44/5.69 => ( p @ ( ap @ ( ap @ V1r @ V6x ) @ V8z ) ) ) ) ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(ax_thm_2Eposet_2Ecarrier__def,axiom,
% 5.44/5.69 ! [A_27a: del,V0s: $i] :
% 5.44/5.69 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.69 => ! [V1r: $i] :
% 5.44/5.69 ( ( mem @ V1r @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.69 => ( ( ap @ ( c_2Eposet_2Ecarrier @ A_27a ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) ) @ V0s ) @ V1r ) )
% 5.44/5.69 = V0s ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(ax_thm_2Eposet_2Erelation__def,axiom,
% 5.44/5.69 ! [A_27a: del,V0s: $i] :
% 5.44/5.69 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.69 => ! [V1r: $i] :
% 5.44/5.69 ( ( mem @ V1r @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.69 => ( ( ap @ ( c_2Eposet_2Erelation @ A_27a ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) ) @ V0s ) @ V1r ) )
% 5.44/5.69 = V1r ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(ax_thm_2Eposet_2Etop__def,axiom,
% 5.44/5.69 ! [A_27a: del,V0s: $i] :
% 5.44/5.69 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.69 => ! [V1r: $i] :
% 5.44/5.69 ( ( mem @ V1r @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.69 => ! [V2x: $i] :
% 5.44/5.69 ( ( mem @ V2x @ A_27a )
% 5.44/5.69 => ( ( p @ ( ap @ ( ap @ ( c_2Eposet_2Etop @ A_27a ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) ) @ V0s ) @ V1r ) ) @ V2x ) )
% 5.44/5.69 <=> ( ( p @ ( ap @ V0s @ V2x ) )
% 5.44/5.69 & ! [V3y: $i] :
% 5.44/5.69 ( ( mem @ V3y @ A_27a )
% 5.44/5.69 => ( ( p @ ( ap @ V0s @ V3y ) )
% 5.44/5.69 => ( p @ ( ap @ ( ap @ V1r @ V3y ) @ V2x ) ) ) ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(ax_thm_2Eposet_2Ebottom__def,axiom,
% 5.44/5.69 ! [A_27a: del,V0s: $i] :
% 5.44/5.69 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.69 => ! [V1r: $i] :
% 5.44/5.69 ( ( mem @ V1r @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.69 => ! [V2x: $i] :
% 5.44/5.69 ( ( mem @ V2x @ A_27a )
% 5.44/5.69 => ( ( p @ ( ap @ ( ap @ ( c_2Eposet_2Ebottom @ A_27a ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) ) @ V0s ) @ V1r ) ) @ V2x ) )
% 5.44/5.69 <=> ( ( p @ ( ap @ V0s @ V2x ) )
% 5.44/5.69 & ! [V3y: $i] :
% 5.44/5.69 ( ( mem @ V3y @ A_27a )
% 5.44/5.69 => ( ( p @ ( ap @ V0s @ V3y ) )
% 5.44/5.69 => ( p @ ( ap @ ( ap @ V1r @ V2x ) @ V3y ) ) ) ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(ax_thm_2Eposet_2Echain__def,axiom,
% 5.44/5.69 ! [A_27a: del,V0s: $i] :
% 5.44/5.69 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.69 => ! [V1r: $i] :
% 5.44/5.69 ( ( mem @ V1r @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.69 => ! [V2c: $i] :
% 5.44/5.69 ( ( mem @ V2c @ ( arr @ A_27a @ bool ) )
% 5.44/5.69 => ( ( p @ ( ap @ ( ap @ ( c_2Eposet_2Echain @ A_27a ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) ) @ V0s ) @ V1r ) ) @ V2c ) )
% 5.44/5.69 <=> ! [V3x: $i] :
% 5.44/5.69 ( ( mem @ V3x @ A_27a )
% 5.44/5.69 => ! [V4y: $i] :
% 5.44/5.69 ( ( mem @ V4y @ A_27a )
% 5.44/5.69 => ( ( ( p @ ( ap @ V0s @ V3x ) )
% 5.44/5.69 & ( p @ ( ap @ V0s @ V4y ) )
% 5.44/5.69 & ( p @ ( ap @ V2c @ V3x ) )
% 5.44/5.69 & ( p @ ( ap @ V2c @ V4y ) ) )
% 5.44/5.69 => ( ( p @ ( ap @ ( ap @ V1r @ V3x ) @ V4y ) )
% 5.44/5.69 | ( p @ ( ap @ ( ap @ V1r @ V4y ) @ V3x ) ) ) ) ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(ax_thm_2Eposet_2Elub__def,axiom,
% 5.44/5.69 ! [A_27a: del,V0s: $i] :
% 5.44/5.69 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.69 => ! [V1r: $i] :
% 5.44/5.69 ( ( mem @ V1r @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.69 => ! [V2p: $i] :
% 5.44/5.69 ( ( mem @ V2p @ ( arr @ A_27a @ bool ) )
% 5.44/5.69 => ! [V3x: $i] :
% 5.44/5.69 ( ( mem @ V3x @ A_27a )
% 5.44/5.69 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Eposet_2Elub @ A_27a ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) ) @ V0s ) @ V1r ) ) @ V2p ) @ V3x ) )
% 5.44/5.69 <=> ( ( p @ ( ap @ V0s @ V3x ) )
% 5.44/5.69 & ! [V4y: $i] :
% 5.44/5.69 ( ( mem @ V4y @ A_27a )
% 5.44/5.69 => ( ( ( p @ ( ap @ V0s @ V4y ) )
% 5.44/5.69 & ( p @ ( ap @ V2p @ V4y ) ) )
% 5.44/5.69 => ( p @ ( ap @ ( ap @ V1r @ V4y ) @ V3x ) ) ) )
% 5.44/5.69 & ! [V5z: $i] :
% 5.44/5.69 ( ( mem @ V5z @ A_27a )
% 5.44/5.69 => ( ( ( p @ ( ap @ V0s @ V5z ) )
% 5.44/5.69 & ! [V6y: $i] :
% 5.44/5.69 ( ( mem @ V6y @ A_27a )
% 5.44/5.69 => ( ( ( p @ ( ap @ V0s @ V6y ) )
% 5.44/5.69 & ( p @ ( ap @ V2p @ V6y ) ) )
% 5.44/5.69 => ( p @ ( ap @ ( ap @ V1r @ V6y ) @ V5z ) ) ) ) )
% 5.44/5.69 => ( p @ ( ap @ ( ap @ V1r @ V3x ) @ V5z ) ) ) ) ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(ax_thm_2Eposet_2Eglb__def,axiom,
% 5.44/5.69 ! [A_27a: del,V0s: $i] :
% 5.44/5.69 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.69 => ! [V1r: $i] :
% 5.44/5.69 ( ( mem @ V1r @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.69 => ! [V2p: $i] :
% 5.44/5.69 ( ( mem @ V2p @ ( arr @ A_27a @ bool ) )
% 5.44/5.69 => ! [V3x: $i] :
% 5.44/5.69 ( ( mem @ V3x @ A_27a )
% 5.44/5.69 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Eposet_2Eglb @ A_27a ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) ) @ V0s ) @ V1r ) ) @ V2p ) @ V3x ) )
% 5.44/5.69 <=> ( ( p @ ( ap @ V0s @ V3x ) )
% 5.44/5.69 & ! [V4y: $i] :
% 5.44/5.69 ( ( mem @ V4y @ A_27a )
% 5.44/5.69 => ( ( ( p @ ( ap @ V0s @ V4y ) )
% 5.44/5.69 & ( p @ ( ap @ V2p @ V4y ) ) )
% 5.44/5.69 => ( p @ ( ap @ ( ap @ V1r @ V3x ) @ V4y ) ) ) )
% 5.44/5.69 & ! [V5z: $i] :
% 5.44/5.69 ( ( mem @ V5z @ A_27a )
% 5.44/5.69 => ( ( ( p @ ( ap @ V0s @ V5z ) )
% 5.44/5.69 & ! [V6y: $i] :
% 5.44/5.69 ( ( mem @ V6y @ A_27a )
% 5.44/5.69 => ( ( ( p @ ( ap @ V0s @ V6y ) )
% 5.44/5.69 & ( p @ ( ap @ V2p @ V6y ) ) )
% 5.44/5.69 => ( p @ ( ap @ ( ap @ V1r @ V5z ) @ V6y ) ) ) ) )
% 5.44/5.69 => ( p @ ( ap @ ( ap @ V1r @ V5z ) @ V3x ) ) ) ) ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(ax_thm_2Eposet_2Ecomplete__def,axiom,
% 5.44/5.69 ! [A_27a: del,V0p: $i] :
% 5.44/5.69 ( ( mem @ V0p @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) ) )
% 5.44/5.69 => ( ( p @ ( ap @ ( c_2Eposet_2Ecomplete @ A_27a ) @ V0p ) )
% 5.44/5.69 <=> ! [V1c: $i] :
% 5.44/5.69 ( ( mem @ V1c @ ( arr @ A_27a @ bool ) )
% 5.44/5.69 => ( ? [V2x: $i] :
% 5.44/5.69 ( ( mem @ V2x @ A_27a )
% 5.44/5.69 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Eposet_2Elub @ A_27a ) @ V0p ) @ V1c ) @ V2x ) ) )
% 5.44/5.69 & ? [V3x: $i] :
% 5.44/5.69 ( ( mem @ V3x @ A_27a )
% 5.44/5.69 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Eposet_2Eglb @ A_27a ) @ V0p ) @ V1c ) @ V3x ) ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Eposet_2Eposet__nonempty,axiom,
% 5.44/5.69 ! [A_27a: del,V0s: $i] :
% 5.44/5.69 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.69 => ! [V1r: $i] :
% 5.44/5.69 ( ( mem @ V1r @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.69 => ( ( p @ ( ap @ ( c_2Eposet_2Eposet @ A_27a ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) ) @ V0s ) @ V1r ) ) )
% 5.44/5.69 => ? [V2x: $i] :
% 5.44/5.69 ( ( mem @ V2x @ A_27a )
% 5.44/5.69 & ( p @ ( ap @ V0s @ V2x ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Eposet_2Eposet__refl,axiom,
% 5.44/5.69 ! [A_27a: del,V0s: $i] :
% 5.44/5.69 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.69 => ! [V1r: $i] :
% 5.44/5.69 ( ( mem @ V1r @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.69 => ! [V2x: $i] :
% 5.44/5.69 ( ( mem @ V2x @ A_27a )
% 5.44/5.69 => ( ( ( p @ ( ap @ ( c_2Eposet_2Eposet @ A_27a ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) ) @ V0s ) @ V1r ) ) )
% 5.44/5.69 & ( p @ ( ap @ V0s @ V2x ) ) )
% 5.44/5.69 => ( p @ ( ap @ ( ap @ V1r @ V2x ) @ V2x ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Eposet_2Eposet__antisym,axiom,
% 5.44/5.69 ! [A_27a: del,V0s: $i] :
% 5.44/5.69 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.69 => ! [V1r: $i] :
% 5.44/5.69 ( ( mem @ V1r @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.69 => ! [V2x: $i] :
% 5.44/5.69 ( ( mem @ V2x @ A_27a )
% 5.44/5.69 => ! [V3y: $i] :
% 5.44/5.69 ( ( mem @ V3y @ A_27a )
% 5.44/5.69 => ( ( ( p @ ( ap @ ( c_2Eposet_2Eposet @ A_27a ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) ) @ V0s ) @ V1r ) ) )
% 5.44/5.69 & ( p @ ( ap @ V0s @ V2x ) )
% 5.44/5.69 & ( p @ ( ap @ V0s @ V3y ) )
% 5.44/5.69 & ( p @ ( ap @ ( ap @ V1r @ V2x ) @ V3y ) )
% 5.44/5.69 & ( p @ ( ap @ ( ap @ V1r @ V3y ) @ V2x ) ) )
% 5.44/5.69 => ( V2x = V3y ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Eposet_2Eposet__trans,axiom,
% 5.44/5.69 ! [A_27a: del,V0s: $i] :
% 5.44/5.69 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.69 => ! [V1r: $i] :
% 5.44/5.69 ( ( mem @ V1r @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.69 => ! [V2x: $i] :
% 5.44/5.69 ( ( mem @ V2x @ A_27a )
% 5.44/5.69 => ! [V3y: $i] :
% 5.44/5.69 ( ( mem @ V3y @ A_27a )
% 5.44/5.69 => ! [V4z: $i] :
% 5.44/5.69 ( ( mem @ V4z @ A_27a )
% 5.44/5.69 => ( ( ( p @ ( ap @ ( c_2Eposet_2Eposet @ A_27a ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) ) @ V0s ) @ V1r ) ) )
% 5.44/5.69 & ( p @ ( ap @ V0s @ V2x ) )
% 5.44/5.69 & ( p @ ( ap @ V0s @ V3y ) )
% 5.44/5.69 & ( p @ ( ap @ V0s @ V4z ) )
% 5.44/5.69 & ( p @ ( ap @ ( ap @ V1r @ V2x ) @ V3y ) )
% 5.44/5.69 & ( p @ ( ap @ ( ap @ V1r @ V3y ) @ V4z ) ) )
% 5.44/5.69 => ( p @ ( ap @ ( ap @ V1r @ V2x ) @ V4z ) ) ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Eposet_2Elub__pred,axiom,
% 5.44/5.69 ! [A_27a: del,V0s: $i] :
% 5.44/5.69 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.69 => ! [V1r: $i] :
% 5.44/5.69 ( ( mem @ V1r @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.69 => ! [V2p: $i] :
% 5.44/5.69 ( ( mem @ V2p @ ( arr @ A_27a @ bool ) )
% 5.44/5.69 => ! [V3x: $i] :
% 5.44/5.69 ( ( mem @ V3x @ A_27a )
% 5.44/5.69 => ( ( p
% 5.44/5.69 @ ( ap
% 5.44/5.69 @ ( ap @ ( ap @ ( c_2Eposet_2Elub @ A_27a ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) ) @ V0s ) @ V1r ) )
% 5.44/5.69 @ ( lam @ A_27a
% 5.44/5.69 @ ^ [V4j: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0s @ V4j ) ) @ ( ap @ V2p @ V4j ) ) ) )
% 5.44/5.69 @ V3x ) )
% 5.44/5.69 <=> ( p @ ( ap @ ( ap @ ( ap @ ( c_2Eposet_2Elub @ A_27a ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) ) @ V0s ) @ V1r ) ) @ V2p ) @ V3x ) ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Eposet_2Eglb__pred,axiom,
% 5.44/5.69 ! [A_27a: del,V0s: $i] :
% 5.44/5.69 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.69 => ! [V1r: $i] :
% 5.44/5.69 ( ( mem @ V1r @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.69 => ! [V2p: $i] :
% 5.44/5.69 ( ( mem @ V2p @ ( arr @ A_27a @ bool ) )
% 5.44/5.69 => ! [V3x: $i] :
% 5.44/5.69 ( ( mem @ V3x @ A_27a )
% 5.44/5.69 => ( ( p
% 5.44/5.69 @ ( ap
% 5.44/5.69 @ ( ap @ ( ap @ ( c_2Eposet_2Eglb @ A_27a ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) ) @ V0s ) @ V1r ) )
% 5.44/5.69 @ ( lam @ A_27a
% 5.44/5.69 @ ^ [V4j: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0s @ V4j ) ) @ ( ap @ V2p @ V4j ) ) ) )
% 5.44/5.69 @ V3x ) )
% 5.44/5.69 <=> ( p @ ( ap @ ( ap @ ( ap @ ( c_2Eposet_2Eglb @ A_27a ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) ) @ V0s ) @ V1r ) ) @ V2p ) @ V3x ) ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Eposet_2Ecomplete__up,axiom,
% 5.44/5.69 ! [A_27a: del,V0p: $i] :
% 5.44/5.69 ( ( mem @ V0p @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) ) )
% 5.44/5.69 => ! [V1c: $i] :
% 5.44/5.69 ( ( mem @ V1c @ ( arr @ A_27a @ bool ) )
% 5.44/5.69 => ( ( p @ ( ap @ ( c_2Eposet_2Ecomplete @ A_27a ) @ V0p ) )
% 5.44/5.69 => ? [V2x: $i] :
% 5.44/5.69 ( ( mem @ V2x @ A_27a )
% 5.44/5.69 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Eposet_2Elub @ A_27a ) @ V0p ) @ V1c ) @ V2x ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Eposet_2Ecomplete__down,axiom,
% 5.44/5.69 ! [A_27a: del,V0p: $i] :
% 5.44/5.69 ( ( mem @ V0p @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) ) )
% 5.44/5.69 => ! [V1c: $i] :
% 5.44/5.69 ( ( mem @ V1c @ ( arr @ A_27a @ bool ) )
% 5.44/5.69 => ( ( p @ ( ap @ ( c_2Eposet_2Ecomplete @ A_27a ) @ V0p ) )
% 5.44/5.69 => ? [V2x: $i] :
% 5.44/5.69 ( ( mem @ V2x @ A_27a )
% 5.44/5.69 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Eposet_2Eglb @ A_27a ) @ V0p ) @ V1c ) @ V2x ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Eposet_2Ecomplete__top,axiom,
% 5.44/5.69 ! [A_27a: del,V0p: $i] :
% 5.44/5.69 ( ( mem @ V0p @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) ) )
% 5.44/5.69 => ( ( ( p @ ( ap @ ( c_2Eposet_2Eposet @ A_27a ) @ V0p ) )
% 5.44/5.69 & ( p @ ( ap @ ( c_2Eposet_2Ecomplete @ A_27a ) @ V0p ) ) )
% 5.44/5.69 => ? [V1x: $i] :
% 5.44/5.69 ( ( mem @ V1x @ A_27a )
% 5.44/5.69 & ( p @ ( ap @ ( ap @ ( c_2Eposet_2Etop @ A_27a ) @ V0p ) @ V1x ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Eposet_2Ecomplete__bottom,axiom,
% 5.44/5.69 ! [A_27a: del,V0p: $i] :
% 5.44/5.69 ( ( mem @ V0p @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) ) )
% 5.44/5.69 => ( ( ( p @ ( ap @ ( c_2Eposet_2Eposet @ A_27a ) @ V0p ) )
% 5.44/5.69 & ( p @ ( ap @ ( c_2Eposet_2Ecomplete @ A_27a ) @ V0p ) ) )
% 5.44/5.69 => ? [V1x: $i] :
% 5.44/5.69 ( ( mem @ V1x @ A_27a )
% 5.44/5.69 & ( p @ ( ap @ ( ap @ ( c_2Eposet_2Ebottom @ A_27a ) @ V0p ) @ V1x ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(ax_thm_2Eposet_2Epointwise__lift__def,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del,V0t: $i] :
% 5.44/5.69 ( ( mem @ V0t @ ( arr @ A_27a @ bool ) )
% 5.44/5.69 => ! [V1s: $i] :
% 5.44/5.69 ( ( mem @ V1s @ ( arr @ A_27b @ bool ) )
% 5.44/5.69 => ! [V2r: $i] :
% 5.44/5.69 ( ( mem @ V2r @ ( arr @ A_27b @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.69 => ( ( ap @ ( ap @ ( c_2Eposet_2Epointwise__lift @ A_27a @ A_27b ) @ V0t ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( arr @ A_27b @ bool ) @ ( arr @ A_27b @ ( arr @ A_27b @ bool ) ) ) @ V1s ) @ V2r ) )
% 5.44/5.69 = ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( arr @ ( arr @ A_27a @ A_27b ) @ bool ) @ ( arr @ ( arr @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ A_27b ) @ bool ) ) ) @ ( ap @ ( ap @ ( c_2Eposet_2Efunction @ A_27a @ A_27b ) @ V0t ) @ V1s ) )
% 5.44/5.69 @ ( lam @ ( arr @ A_27a @ A_27b )
% 5.44/5.69 @ ^ [V3f: $i] :
% 5.44/5.69 ( lam @ ( arr @ A_27a @ A_27b )
% 5.44/5.69 @ ^ [V4g: $i] :
% 5.44/5.69 ( ap @ ( c_2Ebool_2E_21 @ A_27a )
% 5.44/5.69 @ ( lam @ A_27a
% 5.44/5.69 @ ^ [V5x: $i] : ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ V0t @ V5x ) ) @ ( ap @ ( ap @ V2r @ ( ap @ V3f @ V5x ) ) @ ( ap @ V4g @ V5x ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Eposet_2Ecomplete__pointwise,axiom,
% 5.44/5.69 ! [A_27a: del,A_27b: del,V0p: $i] :
% 5.44/5.69 ( ( mem @ V0p @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) ) )
% 5.44/5.69 => ! [V1t: $i] :
% 5.44/5.69 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.44/5.69 => ( ( p @ ( ap @ ( c_2Eposet_2Ecomplete @ A_27a ) @ V0p ) )
% 5.44/5.69 => ( p @ ( ap @ ( c_2Eposet_2Ecomplete @ ( arr @ A_27b @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Eposet_2Epointwise__lift @ A_27b @ A_27a ) @ V1t ) @ V0p ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(ax_thm_2Eposet_2Emonotonic__def,axiom,
% 5.44/5.69 ! [A_27a: del,V0s: $i] :
% 5.44/5.69 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.69 => ! [V1r: $i] :
% 5.44/5.69 ( ( mem @ V1r @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.69 => ! [V2f: $i] :
% 5.44/5.69 ( ( mem @ V2f @ ( arr @ A_27a @ A_27a ) )
% 5.44/5.69 => ( ( p @ ( ap @ ( ap @ ( c_2Eposet_2Emonotonic @ A_27a ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) ) @ V0s ) @ V1r ) ) @ V2f ) )
% 5.44/5.69 <=> ! [V3x: $i] :
% 5.44/5.69 ( ( mem @ V3x @ A_27a )
% 5.44/5.69 => ! [V4y: $i] :
% 5.44/5.69 ( ( mem @ V4y @ A_27a )
% 5.44/5.69 => ( ( ( p @ ( ap @ V0s @ V3x ) )
% 5.44/5.69 & ( p @ ( ap @ V0s @ V4y ) )
% 5.44/5.69 & ( p @ ( ap @ ( ap @ V1r @ V3x ) @ V4y ) ) )
% 5.44/5.69 => ( p @ ( ap @ ( ap @ V1r @ ( ap @ V2f @ V3x ) ) @ ( ap @ V2f @ V4y ) ) ) ) ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(ax_thm_2Eposet_2Eup__continuous__def,axiom,
% 5.44/5.69 ! [A_27a: del,V0s: $i] :
% 5.44/5.69 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.69 => ! [V1r: $i] :
% 5.44/5.69 ( ( mem @ V1r @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.69 => ! [V2f: $i] :
% 5.44/5.69 ( ( mem @ V2f @ ( arr @ A_27a @ A_27a ) )
% 5.44/5.69 => ( ( p @ ( ap @ ( ap @ ( c_2Eposet_2Eup__continuous @ A_27a ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) ) @ V0s ) @ V1r ) ) @ V2f ) )
% 5.44/5.69 <=> ! [V3c: $i] :
% 5.44/5.69 ( ( mem @ V3c @ ( arr @ A_27a @ bool ) )
% 5.44/5.69 => ! [V4x: $i] :
% 5.44/5.69 ( ( mem @ V4x @ A_27a )
% 5.44/5.69 => ( ( ( p @ ( ap @ ( ap @ ( c_2Eposet_2Echain @ A_27a ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) ) @ V0s ) @ V1r ) ) @ V3c ) )
% 5.44/5.69 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Eposet_2Elub @ A_27a ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) ) @ V0s ) @ V1r ) ) @ V3c ) @ V4x ) ) )
% 5.44/5.69 => ( p
% 5.44/5.69 @ ( ap
% 5.44/5.69 @ ( ap @ ( ap @ ( c_2Eposet_2Elub @ A_27a ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) ) @ V0s ) @ V1r ) )
% 5.44/5.69 @ ( lam @ A_27a
% 5.44/5.69 @ ^ [V5y: $i] :
% 5.44/5.69 ( ap @ ( c_2Ebool_2E_3F @ A_27a )
% 5.44/5.69 @ ( lam @ A_27a
% 5.44/5.69 @ ^ [V6z: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0s @ V6z ) ) @ ( ap @ V3c @ V6z ) ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V5y ) @ ( ap @ V2f @ V6z ) ) ) ) ) ) )
% 5.44/5.69 @ ( ap @ V2f @ V4x ) ) ) ) ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(ax_thm_2Eposet_2Edown__continuous__def,axiom,
% 5.44/5.69 ! [A_27a: del,V0s: $i] :
% 5.44/5.69 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.69 => ! [V1r: $i] :
% 5.44/5.69 ( ( mem @ V1r @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.69 => ! [V2f: $i] :
% 5.44/5.69 ( ( mem @ V2f @ ( arr @ A_27a @ A_27a ) )
% 5.44/5.69 => ( ( p @ ( ap @ ( ap @ ( c_2Eposet_2Edown__continuous @ A_27a ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) ) @ V0s ) @ V1r ) ) @ V2f ) )
% 5.44/5.69 <=> ! [V3c: $i] :
% 5.44/5.69 ( ( mem @ V3c @ ( arr @ A_27a @ bool ) )
% 5.44/5.69 => ! [V4x: $i] :
% 5.44/5.69 ( ( mem @ V4x @ A_27a )
% 5.44/5.69 => ( ( ( p @ ( ap @ ( ap @ ( c_2Eposet_2Echain @ A_27a ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) ) @ V0s ) @ V1r ) ) @ V3c ) )
% 5.44/5.69 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Eposet_2Eglb @ A_27a ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) ) @ V0s ) @ V1r ) ) @ V3c ) @ V4x ) ) )
% 5.44/5.69 => ( p
% 5.44/5.69 @ ( ap
% 5.44/5.69 @ ( ap @ ( ap @ ( c_2Eposet_2Eglb @ A_27a ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) ) @ V0s ) @ V1r ) )
% 5.44/5.69 @ ( lam @ A_27a
% 5.44/5.69 @ ^ [V5y: $i] :
% 5.44/5.69 ( ap @ ( c_2Ebool_2E_3F @ A_27a )
% 5.44/5.69 @ ( lam @ A_27a
% 5.44/5.69 @ ^ [V6z: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0s @ V6z ) ) @ ( ap @ V3c @ V6z ) ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V5y ) @ ( ap @ V2f @ V6z ) ) ) ) ) ) )
% 5.44/5.69 @ ( ap @ V2f @ V4x ) ) ) ) ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(ax_thm_2Eposet_2Econtinuous__def,axiom,
% 5.44/5.69 ! [A_27a: del,V0p: $i] :
% 5.44/5.69 ( ( mem @ V0p @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) ) )
% 5.44/5.69 => ! [V1f: $i] :
% 5.44/5.69 ( ( mem @ V1f @ ( arr @ A_27a @ A_27a ) )
% 5.44/5.69 => ( ( p @ ( ap @ ( ap @ ( c_2Eposet_2Econtinuous @ A_27a ) @ V0p ) @ V1f ) )
% 5.44/5.69 <=> ( ( p @ ( ap @ ( ap @ ( c_2Eposet_2Eup__continuous @ A_27a ) @ V0p ) @ V1f ) )
% 5.44/5.69 & ( p @ ( ap @ ( ap @ ( c_2Eposet_2Edown__continuous @ A_27a ) @ V0p ) @ V1f ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(ax_thm_2Eposet_2Elfp__def,axiom,
% 5.44/5.69 ! [A_27a: del,V0s: $i] :
% 5.44/5.69 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.69 => ! [V1r: $i] :
% 5.44/5.69 ( ( mem @ V1r @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.69 => ! [V2f: $i] :
% 5.44/5.69 ( ( mem @ V2f @ ( arr @ A_27a @ A_27a ) )
% 5.44/5.69 => ! [V3x: $i] :
% 5.44/5.69 ( ( mem @ V3x @ A_27a )
% 5.44/5.69 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Eposet_2Elfp @ A_27a ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) ) @ V0s ) @ V1r ) ) @ V2f ) @ V3x ) )
% 5.44/5.69 <=> ( ( p @ ( ap @ V0s @ V3x ) )
% 5.44/5.69 & ( ( ap @ V2f @ V3x )
% 5.44/5.69 = V3x )
% 5.44/5.69 & ! [V4y: $i] :
% 5.44/5.69 ( ( mem @ V4y @ A_27a )
% 5.44/5.69 => ( ( ( p @ ( ap @ V0s @ V4y ) )
% 5.44/5.69 & ( p @ ( ap @ ( ap @ V1r @ ( ap @ V2f @ V4y ) ) @ V4y ) ) )
% 5.44/5.69 => ( p @ ( ap @ ( ap @ V1r @ V3x ) @ V4y ) ) ) ) ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(ax_thm_2Eposet_2Egfp__def,axiom,
% 5.44/5.69 ! [A_27a: del,V0s: $i] :
% 5.44/5.69 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.69 => ! [V1r: $i] :
% 5.44/5.69 ( ( mem @ V1r @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.69 => ! [V2f: $i] :
% 5.44/5.69 ( ( mem @ V2f @ ( arr @ A_27a @ A_27a ) )
% 5.44/5.69 => ! [V3x: $i] :
% 5.44/5.69 ( ( mem @ V3x @ A_27a )
% 5.44/5.69 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Eposet_2Egfp @ A_27a ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) ) @ V0s ) @ V1r ) ) @ V2f ) @ V3x ) )
% 5.44/5.69 <=> ( ( p @ ( ap @ V0s @ V3x ) )
% 5.44/5.69 & ( ( ap @ V2f @ V3x )
% 5.44/5.69 = V3x )
% 5.44/5.69 & ! [V4y: $i] :
% 5.44/5.69 ( ( mem @ V4y @ A_27a )
% 5.44/5.69 => ( ( ( p @ ( ap @ V0s @ V4y ) )
% 5.44/5.69 & ( p @ ( ap @ ( ap @ V1r @ V4y ) @ ( ap @ V2f @ V4y ) ) ) )
% 5.44/5.69 => ( p @ ( ap @ ( ap @ V1r @ V4y ) @ V3x ) ) ) ) ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Eposet_2Elfp__unique,axiom,
% 5.44/5.69 ! [A_27a: del,V0p: $i] :
% 5.44/5.69 ( ( mem @ V0p @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) ) )
% 5.44/5.69 => ! [V1f: $i] :
% 5.44/5.69 ( ( mem @ V1f @ ( arr @ A_27a @ A_27a ) )
% 5.44/5.69 => ! [V2x: $i] :
% 5.44/5.69 ( ( mem @ V2x @ A_27a )
% 5.44/5.69 => ! [V3x_27: $i] :
% 5.44/5.69 ( ( mem @ V3x_27 @ A_27a )
% 5.44/5.69 => ( ( ( p @ ( ap @ ( c_2Eposet_2Eposet @ A_27a ) @ V0p ) )
% 5.44/5.69 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Eposet_2Elfp @ A_27a ) @ V0p ) @ V1f ) @ V2x ) )
% 5.44/5.69 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Eposet_2Elfp @ A_27a ) @ V0p ) @ V1f ) @ V3x_27 ) ) )
% 5.44/5.69 => ( V2x = V3x_27 ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Eposet_2Egfp__unique,axiom,
% 5.44/5.69 ! [A_27a: del,V0p: $i] :
% 5.44/5.69 ( ( mem @ V0p @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) ) )
% 5.44/5.69 => ! [V1f: $i] :
% 5.44/5.69 ( ( mem @ V1f @ ( arr @ A_27a @ A_27a ) )
% 5.44/5.69 => ! [V2x: $i] :
% 5.44/5.69 ( ( mem @ V2x @ A_27a )
% 5.44/5.69 => ! [V3x_27: $i] :
% 5.44/5.69 ( ( mem @ V3x_27 @ A_27a )
% 5.44/5.69 => ( ( ( p @ ( ap @ ( c_2Eposet_2Eposet @ A_27a ) @ V0p ) )
% 5.44/5.69 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Eposet_2Egfp @ A_27a ) @ V0p ) @ V1f ) @ V2x ) )
% 5.44/5.69 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Eposet_2Egfp @ A_27a ) @ V0p ) @ V1f ) @ V3x_27 ) ) )
% 5.44/5.69 => ( V2x = V3x_27 ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Eposet_2Eknaster__tarski__lfp,axiom,
% 5.44/5.69 ! [A_27a: del,V0p: $i] :
% 5.44/5.69 ( ( mem @ V0p @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) ) )
% 5.44/5.69 => ! [V1f: $i] :
% 5.44/5.69 ( ( mem @ V1f @ ( arr @ A_27a @ A_27a ) )
% 5.44/5.69 => ( ( ( p @ ( ap @ ( c_2Eposet_2Eposet @ A_27a ) @ V0p ) )
% 5.44/5.69 & ( p @ ( ap @ ( c_2Eposet_2Ecomplete @ A_27a ) @ V0p ) )
% 5.44/5.69 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Eposet_2Efunction @ A_27a @ A_27a ) @ ( ap @ ( c_2Eposet_2Ecarrier @ A_27a ) @ V0p ) ) @ ( ap @ ( c_2Eposet_2Ecarrier @ A_27a ) @ V0p ) ) @ V1f ) )
% 5.44/5.69 & ( p @ ( ap @ ( ap @ ( c_2Eposet_2Emonotonic @ A_27a ) @ V0p ) @ V1f ) ) )
% 5.44/5.69 => ? [V2x: $i] :
% 5.44/5.69 ( ( mem @ V2x @ A_27a )
% 5.44/5.69 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Eposet_2Elfp @ A_27a ) @ V0p ) @ V1f ) @ V2x ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Eposet_2Eknaster__tarski__gfp,axiom,
% 5.44/5.69 ! [A_27a: del,V0p: $i] :
% 5.44/5.69 ( ( mem @ V0p @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) ) )
% 5.44/5.69 => ! [V1f: $i] :
% 5.44/5.69 ( ( mem @ V1f @ ( arr @ A_27a @ A_27a ) )
% 5.44/5.69 => ( ( ( p @ ( ap @ ( c_2Eposet_2Eposet @ A_27a ) @ V0p ) )
% 5.44/5.69 & ( p @ ( ap @ ( c_2Eposet_2Ecomplete @ A_27a ) @ V0p ) )
% 5.44/5.69 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Eposet_2Efunction @ A_27a @ A_27a ) @ ( ap @ ( c_2Eposet_2Ecarrier @ A_27a ) @ V0p ) ) @ ( ap @ ( c_2Eposet_2Ecarrier @ A_27a ) @ V0p ) ) @ V1f ) )
% 5.44/5.69 & ( p @ ( ap @ ( ap @ ( c_2Eposet_2Emonotonic @ A_27a ) @ V0p ) @ V1f ) ) )
% 5.44/5.69 => ? [V2x: $i] :
% 5.44/5.69 ( ( mem @ V2x @ A_27a )
% 5.44/5.69 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Eposet_2Egfp @ A_27a ) @ V0p ) @ V1f ) @ V2x ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(conj_thm_2Eposet_2Eknaster__tarski,axiom,
% 5.44/5.69 ! [A_27a: del,V0p: $i] :
% 5.44/5.69 ( ( mem @ V0p @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) ) )
% 5.44/5.69 => ! [V1f: $i] :
% 5.44/5.69 ( ( mem @ V1f @ ( arr @ A_27a @ A_27a ) )
% 5.44/5.69 => ( ( ( p @ ( ap @ ( c_2Eposet_2Eposet @ A_27a ) @ V0p ) )
% 5.44/5.69 & ( p @ ( ap @ ( c_2Eposet_2Ecomplete @ A_27a ) @ V0p ) )
% 5.44/5.69 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Eposet_2Efunction @ A_27a @ A_27a ) @ ( ap @ ( c_2Eposet_2Ecarrier @ A_27a ) @ V0p ) ) @ ( ap @ ( c_2Eposet_2Ecarrier @ A_27a ) @ V0p ) ) @ V1f ) )
% 5.44/5.69 & ( p @ ( ap @ ( ap @ ( c_2Eposet_2Emonotonic @ A_27a ) @ V0p ) @ V1f ) ) )
% 5.44/5.69 => ( ? [V2x: $i] :
% 5.44/5.69 ( ( mem @ V2x @ A_27a )
% 5.44/5.69 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Eposet_2Elfp @ A_27a ) @ V0p ) @ V1f ) @ V2x ) ) )
% 5.44/5.69 & ? [V3x: $i] :
% 5.44/5.69 ( ( mem @ V3x @ A_27a )
% 5.44/5.69 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Eposet_2Egfp @ A_27a ) @ V0p ) @ V1f ) @ V3x ) ) ) ) ) ) ) ).
% 5.44/5.69
% 5.44/5.69 %------------------------------------------------------------------------------
% 5.44/5.69 %------------------------------------------------------------------------------
% 5.44/5.69 thf(tp_c_2Earithmetic_2E_2A,type,
% 5.44/5.69 c_2Earithmetic_2E_2A: $i ).
% 5.44/5.69
% 5.44/5.69 thf(mem_c_2Earithmetic_2E_2A,axiom,
% 5.44/5.69 mem @ c_2Earithmetic_2E_2A @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(stp_fo_c_2Earithmetic_2E_2A,type,
% 5.44/5.69 fo__c_2Earithmetic_2E_2A: tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum ).
% 5.44/5.69
% 5.44/5.69 thf(stp_eq_fo_c_2Earithmetic_2E_2A,axiom,
% 5.44/5.69 ! [X0: tp__ty_2Enum_2Enum,X1: tp__ty_2Enum_2Enum] :
% 5.44/5.69 ( ( inj__ty_2Enum_2Enum @ ( fo__c_2Earithmetic_2E_2A @ X0 @ X1 ) )
% 5.44/5.69 = ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ X0 ) ) @ ( inj__ty_2Enum_2Enum @ X1 ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(tp_c_2Earithmetic_2E_2B,type,
% 5.44/5.69 c_2Earithmetic_2E_2B: $i ).
% 5.44/5.69
% 5.44/5.69 thf(mem_c_2Earithmetic_2E_2B,axiom,
% 5.44/5.69 mem @ c_2Earithmetic_2E_2B @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(stp_fo_c_2Earithmetic_2E_2B,type,
% 5.44/5.69 fo__c_2Earithmetic_2E_2B: tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum ).
% 5.44/5.69
% 5.44/5.69 thf(stp_eq_fo_c_2Earithmetic_2E_2B,axiom,
% 5.44/5.69 ! [X0: tp__ty_2Enum_2Enum,X1: tp__ty_2Enum_2Enum] :
% 5.44/5.69 ( ( inj__ty_2Enum_2Enum @ ( fo__c_2Earithmetic_2E_2B @ X0 @ X1 ) )
% 5.44/5.69 = ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ X0 ) ) @ ( inj__ty_2Enum_2Enum @ X1 ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(tp_c_2Earithmetic_2E_2D,type,
% 5.44/5.69 c_2Earithmetic_2E_2D: $i ).
% 5.44/5.69
% 5.44/5.69 thf(mem_c_2Earithmetic_2E_2D,axiom,
% 5.44/5.69 mem @ c_2Earithmetic_2E_2D @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(stp_fo_c_2Earithmetic_2E_2D,type,
% 5.44/5.69 fo__c_2Earithmetic_2E_2D: tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum ).
% 5.44/5.69
% 5.44/5.69 thf(stp_eq_fo_c_2Earithmetic_2E_2D,axiom,
% 5.44/5.69 ! [X0: tp__ty_2Enum_2Enum,X1: tp__ty_2Enum_2Enum] :
% 5.44/5.69 ( ( inj__ty_2Enum_2Enum @ ( fo__c_2Earithmetic_2E_2D @ X0 @ X1 ) )
% 5.44/5.69 = ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ X0 ) ) @ ( inj__ty_2Enum_2Enum @ X1 ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(tp_c_2Earithmetic_2E_3C_3D,type,
% 5.44/5.69 c_2Earithmetic_2E_3C_3D: $i ).
% 5.44/5.69
% 5.44/5.69 thf(mem_c_2Earithmetic_2E_3C_3D,axiom,
% 5.44/5.69 mem @ c_2Earithmetic_2E_3C_3D @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ bool ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(tp_c_2Earithmetic_2E_3E,type,
% 5.44/5.69 c_2Earithmetic_2E_3E: $i ).
% 5.44/5.69
% 5.44/5.69 thf(mem_c_2Earithmetic_2E_3E,axiom,
% 5.44/5.69 mem @ c_2Earithmetic_2E_3E @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ bool ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(tp_c_2Earithmetic_2E_3E_3D,type,
% 5.44/5.69 c_2Earithmetic_2E_3E_3D: $i ).
% 5.44/5.69
% 5.44/5.69 thf(mem_c_2Earithmetic_2E_3E_3D,axiom,
% 5.44/5.69 mem @ c_2Earithmetic_2E_3E_3D @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ bool ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(tp_c_2Earithmetic_2EABS__DIFF,type,
% 5.44/5.69 c_2Earithmetic_2EABS__DIFF: $i ).
% 5.44/5.69
% 5.44/5.69 thf(mem_c_2Earithmetic_2EABS__DIFF,axiom,
% 5.44/5.69 mem @ c_2Earithmetic_2EABS__DIFF @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(stp_fo_c_2Earithmetic_2EABS__DIFF,type,
% 5.44/5.69 fo__c_2Earithmetic_2EABS__DIFF: tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum ).
% 5.44/5.69
% 5.44/5.69 thf(stp_eq_fo_c_2Earithmetic_2EABS__DIFF,axiom,
% 5.44/5.69 ! [X0: tp__ty_2Enum_2Enum,X1: tp__ty_2Enum_2Enum] :
% 5.44/5.69 ( ( inj__ty_2Enum_2Enum @ ( fo__c_2Earithmetic_2EABS__DIFF @ X0 @ X1 ) )
% 5.44/5.69 = ( ap @ ( ap @ c_2Earithmetic_2EABS__DIFF @ ( inj__ty_2Enum_2Enum @ X0 ) ) @ ( inj__ty_2Enum_2Enum @ X1 ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(tp_c_2Earithmetic_2EBIT1,type,
% 5.44/5.69 c_2Earithmetic_2EBIT1: $i ).
% 5.44/5.69
% 5.44/5.69 thf(mem_c_2Earithmetic_2EBIT1,axiom,
% 5.44/5.69 mem @ c_2Earithmetic_2EBIT1 @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ).
% 5.44/5.69
% 5.44/5.69 thf(stp_fo_c_2Earithmetic_2EBIT1,type,
% 5.44/5.69 fo__c_2Earithmetic_2EBIT1: tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum ).
% 5.44/5.69
% 5.44/5.69 thf(stp_eq_fo_c_2Earithmetic_2EBIT1,axiom,
% 5.44/5.69 ! [X0: tp__ty_2Enum_2Enum] :
% 5.44/5.69 ( ( inj__ty_2Enum_2Enum @ ( fo__c_2Earithmetic_2EBIT1 @ X0 ) )
% 5.44/5.69 = ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ X0 ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(tp_c_2Earithmetic_2EBIT2,type,
% 5.44/5.69 c_2Earithmetic_2EBIT2: $i ).
% 5.44/5.69
% 5.44/5.69 thf(mem_c_2Earithmetic_2EBIT2,axiom,
% 5.44/5.69 mem @ c_2Earithmetic_2EBIT2 @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ).
% 5.44/5.69
% 5.44/5.69 thf(stp_fo_c_2Earithmetic_2EBIT2,type,
% 5.44/5.69 fo__c_2Earithmetic_2EBIT2: tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum ).
% 5.44/5.69
% 5.44/5.69 thf(stp_eq_fo_c_2Earithmetic_2EBIT2,axiom,
% 5.44/5.69 ! [X0: tp__ty_2Enum_2Enum] :
% 5.44/5.69 ( ( inj__ty_2Enum_2Enum @ ( fo__c_2Earithmetic_2EBIT2 @ X0 ) )
% 5.44/5.69 = ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ X0 ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(tp_c_2Earithmetic_2EDIV,type,
% 5.44/5.69 c_2Earithmetic_2EDIV: $i ).
% 5.44/5.69
% 5.44/5.69 thf(mem_c_2Earithmetic_2EDIV,axiom,
% 5.44/5.69 mem @ c_2Earithmetic_2EDIV @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(stp_fo_c_2Earithmetic_2EDIV,type,
% 5.44/5.69 fo__c_2Earithmetic_2EDIV: tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum ).
% 5.44/5.69
% 5.44/5.69 thf(stp_eq_fo_c_2Earithmetic_2EDIV,axiom,
% 5.44/5.69 ! [X0: tp__ty_2Enum_2Enum,X1: tp__ty_2Enum_2Enum] :
% 5.44/5.69 ( ( inj__ty_2Enum_2Enum @ ( fo__c_2Earithmetic_2EDIV @ X0 @ X1 ) )
% 5.44/5.69 = ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( inj__ty_2Enum_2Enum @ X0 ) ) @ ( inj__ty_2Enum_2Enum @ X1 ) ) ) ).
% 5.44/5.69
% 5.44/5.69 thf(tp_c_2Earithmetic_2EDIV2,type,
% 5.44/5.69 c_2Earithmetic_2EDIV2: $i ).
% 5.44/5.69
% 5.44/5.69 thf(mem_c_2Earithmetic_2EDIV2,axiom,
% 5.44/5.69 mem @ c_2Earithmetic_2EDIV2 @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ).
% 5.44/5.69
% 5.44/5.69 thf(stp_fo_c_2Earithmetic_2EDIV2,type,
% 5.44/5.70 fo__c_2Earithmetic_2EDIV2: tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum ).
% 5.44/5.70
% 5.44/5.70 thf(stp_eq_fo_c_2Earithmetic_2EDIV2,axiom,
% 5.44/5.70 ! [X0: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( inj__ty_2Enum_2Enum @ ( fo__c_2Earithmetic_2EDIV2 @ X0 ) )
% 5.44/5.70 = ( ap @ c_2Earithmetic_2EDIV2 @ ( inj__ty_2Enum_2Enum @ X0 ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(stp_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum,type,
% 5.44/5.70 tp__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum: $tType ).
% 5.44/5.70
% 5.44/5.70 thf(stp_inj_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum,type,
% 5.44/5.70 inj__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum: tp__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum > $i ).
% 5.44/5.70
% 5.44/5.70 thf(stp_surj_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum,type,
% 5.44/5.70 surj__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum: $i > tp__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum ).
% 5.44/5.70
% 5.44/5.70 thf(stp_inj_surj_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum,axiom,
% 5.44/5.70 ! [X: tp__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum] :
% 5.44/5.70 ( ( surj__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum @ ( inj__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum @ X ) )
% 5.44/5.70 = X ) ).
% 5.44/5.70
% 5.44/5.70 thf(stp_inj_mem_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum,axiom,
% 5.44/5.70 ! [X: tp__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum] : ( mem @ ( inj__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum @ X ) @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(stp_iso_mem_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum,axiom,
% 5.44/5.70 ! [X: $i] :
% 5.44/5.70 ( ( mem @ X @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) )
% 5.44/5.70 => ( X
% 5.44/5.70 = ( inj__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum @ ( surj__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum @ X ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(stp_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum,type,
% 5.44/5.70 tp__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum: $tType ).
% 5.44/5.70
% 5.44/5.70 thf(stp_inj_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum,type,
% 5.44/5.70 inj__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum: tp__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum > $i ).
% 5.44/5.70
% 5.44/5.70 thf(stp_surj_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum,type,
% 5.44/5.70 surj__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum: $i > tp__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum ).
% 5.44/5.70
% 5.44/5.70 thf(stp_inj_surj_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum,axiom,
% 5.44/5.70 ! [X: tp__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum] :
% 5.44/5.70 ( ( surj__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum @ ( inj__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum @ X ) )
% 5.44/5.70 = X ) ).
% 5.44/5.70
% 5.44/5.70 thf(stp_inj_mem_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum,axiom,
% 5.44/5.70 ! [X: tp__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum] : ( mem @ ( inj__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum @ X ) @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(stp_iso_mem_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum,axiom,
% 5.44/5.70 ! [X: $i] :
% 5.44/5.70 ( ( mem @ X @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.44/5.70 => ( X
% 5.44/5.70 = ( inj__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum @ ( surj__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum @ X ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(tp_c_2Earithmetic_2EDIVMOD,type,
% 5.44/5.70 c_2Earithmetic_2EDIVMOD: $i ).
% 5.44/5.70
% 5.44/5.70 thf(mem_c_2Earithmetic_2EDIVMOD,axiom,
% 5.44/5.70 mem @ c_2Earithmetic_2EDIVMOD @ ( arr @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(tp_c_2Earithmetic_2EEVEN,type,
% 5.44/5.70 c_2Earithmetic_2EEVEN: $i ).
% 5.44/5.70
% 5.44/5.70 thf(mem_c_2Earithmetic_2EEVEN,axiom,
% 5.44/5.70 mem @ c_2Earithmetic_2EEVEN @ ( arr @ ty_2Enum_2Enum @ bool ) ).
% 5.44/5.70
% 5.44/5.70 thf(tp_c_2Earithmetic_2EEXP,type,
% 5.44/5.70 c_2Earithmetic_2EEXP: $i ).
% 5.44/5.70
% 5.44/5.70 thf(mem_c_2Earithmetic_2EEXP,axiom,
% 5.44/5.70 mem @ c_2Earithmetic_2EEXP @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(stp_fo_c_2Earithmetic_2EEXP,type,
% 5.44/5.70 fo__c_2Earithmetic_2EEXP: tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum ).
% 5.44/5.70
% 5.44/5.70 thf(stp_eq_fo_c_2Earithmetic_2EEXP,axiom,
% 5.44/5.70 ! [X0: tp__ty_2Enum_2Enum,X1: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( inj__ty_2Enum_2Enum @ ( fo__c_2Earithmetic_2EEXP @ X0 @ X1 ) )
% 5.44/5.70 = ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( inj__ty_2Enum_2Enum @ X0 ) ) @ ( inj__ty_2Enum_2Enum @ X1 ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(tp_c_2Earithmetic_2EFACT,type,
% 5.44/5.70 c_2Earithmetic_2EFACT: $i ).
% 5.44/5.70
% 5.44/5.70 thf(mem_c_2Earithmetic_2EFACT,axiom,
% 5.44/5.70 mem @ c_2Earithmetic_2EFACT @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ).
% 5.44/5.70
% 5.44/5.70 thf(stp_fo_c_2Earithmetic_2EFACT,type,
% 5.44/5.70 fo__c_2Earithmetic_2EFACT: tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum ).
% 5.44/5.70
% 5.44/5.70 thf(stp_eq_fo_c_2Earithmetic_2EFACT,axiom,
% 5.44/5.70 ! [X0: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( inj__ty_2Enum_2Enum @ ( fo__c_2Earithmetic_2EFACT @ X0 ) )
% 5.44/5.70 = ( ap @ c_2Earithmetic_2EFACT @ ( inj__ty_2Enum_2Enum @ X0 ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(tp_c_2Earithmetic_2EFUNPOW,type,
% 5.44/5.70 c_2Earithmetic_2EFUNPOW: del > $i ).
% 5.44/5.70
% 5.44/5.70 thf(mem_c_2Earithmetic_2EFUNPOW,axiom,
% 5.44/5.70 ! [A_27a: del] : ( mem @ ( c_2Earithmetic_2EFUNPOW @ A_27a ) @ ( arr @ ( arr @ A_27a @ A_27a ) @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ A_27a ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(tp_c_2Earithmetic_2EMAX,type,
% 5.44/5.70 c_2Earithmetic_2EMAX: $i ).
% 5.44/5.70
% 5.44/5.70 thf(mem_c_2Earithmetic_2EMAX,axiom,
% 5.44/5.70 mem @ c_2Earithmetic_2EMAX @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(stp_fo_c_2Earithmetic_2EMAX,type,
% 5.44/5.70 fo__c_2Earithmetic_2EMAX: tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum ).
% 5.44/5.70
% 5.44/5.70 thf(stp_eq_fo_c_2Earithmetic_2EMAX,axiom,
% 5.44/5.70 ! [X0: tp__ty_2Enum_2Enum,X1: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( inj__ty_2Enum_2Enum @ ( fo__c_2Earithmetic_2EMAX @ X0 @ X1 ) )
% 5.44/5.70 = ( ap @ ( ap @ c_2Earithmetic_2EMAX @ ( inj__ty_2Enum_2Enum @ X0 ) ) @ ( inj__ty_2Enum_2Enum @ X1 ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(tp_c_2Earithmetic_2EMIN,type,
% 5.44/5.70 c_2Earithmetic_2EMIN: $i ).
% 5.44/5.70
% 5.44/5.70 thf(mem_c_2Earithmetic_2EMIN,axiom,
% 5.44/5.70 mem @ c_2Earithmetic_2EMIN @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(stp_fo_c_2Earithmetic_2EMIN,type,
% 5.44/5.70 fo__c_2Earithmetic_2EMIN: tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum ).
% 5.44/5.70
% 5.44/5.70 thf(stp_eq_fo_c_2Earithmetic_2EMIN,axiom,
% 5.44/5.70 ! [X0: tp__ty_2Enum_2Enum,X1: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( inj__ty_2Enum_2Enum @ ( fo__c_2Earithmetic_2EMIN @ X0 @ X1 ) )
% 5.44/5.70 = ( ap @ ( ap @ c_2Earithmetic_2EMIN @ ( inj__ty_2Enum_2Enum @ X0 ) ) @ ( inj__ty_2Enum_2Enum @ X1 ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(tp_c_2Earithmetic_2EMOD,type,
% 5.44/5.70 c_2Earithmetic_2EMOD: $i ).
% 5.44/5.70
% 5.44/5.70 thf(mem_c_2Earithmetic_2EMOD,axiom,
% 5.44/5.70 mem @ c_2Earithmetic_2EMOD @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(stp_fo_c_2Earithmetic_2EMOD,type,
% 5.44/5.70 fo__c_2Earithmetic_2EMOD: tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum ).
% 5.44/5.70
% 5.44/5.70 thf(stp_eq_fo_c_2Earithmetic_2EMOD,axiom,
% 5.44/5.70 ! [X0: tp__ty_2Enum_2Enum,X1: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( inj__ty_2Enum_2Enum @ ( fo__c_2Earithmetic_2EMOD @ X0 @ X1 ) )
% 5.44/5.70 = ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ X0 ) ) @ ( inj__ty_2Enum_2Enum @ X1 ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(tp_c_2Earithmetic_2EMODEQ,type,
% 5.44/5.70 c_2Earithmetic_2EMODEQ: $i ).
% 5.44/5.70
% 5.44/5.70 thf(mem_c_2Earithmetic_2EMODEQ,axiom,
% 5.44/5.70 mem @ c_2Earithmetic_2EMODEQ @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ bool ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(tp_c_2Earithmetic_2ENRC,type,
% 5.44/5.70 c_2Earithmetic_2ENRC: del > $i ).
% 5.44/5.70
% 5.44/5.70 thf(mem_c_2Earithmetic_2ENRC,axiom,
% 5.44/5.70 ! [A_27a: del] : ( mem @ ( c_2Earithmetic_2ENRC @ A_27a ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(tp_c_2Earithmetic_2ENUMERAL,type,
% 5.44/5.70 c_2Earithmetic_2ENUMERAL: $i ).
% 5.44/5.70
% 5.44/5.70 thf(mem_c_2Earithmetic_2ENUMERAL,axiom,
% 5.44/5.70 mem @ c_2Earithmetic_2ENUMERAL @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ).
% 5.44/5.70
% 5.44/5.70 thf(stp_fo_c_2Earithmetic_2ENUMERAL,type,
% 5.44/5.70 fo__c_2Earithmetic_2ENUMERAL: tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum ).
% 5.44/5.70
% 5.44/5.70 thf(stp_eq_fo_c_2Earithmetic_2ENUMERAL,axiom,
% 5.44/5.70 ! [X0: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( inj__ty_2Enum_2Enum @ ( fo__c_2Earithmetic_2ENUMERAL @ X0 ) )
% 5.44/5.70 = ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ X0 ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(tp_c_2Earithmetic_2EODD,type,
% 5.44/5.70 c_2Earithmetic_2EODD: $i ).
% 5.44/5.70
% 5.44/5.70 thf(mem_c_2Earithmetic_2EODD,axiom,
% 5.44/5.70 mem @ c_2Earithmetic_2EODD @ ( arr @ ty_2Enum_2Enum @ bool ) ).
% 5.44/5.70
% 5.44/5.70 thf(tp_c_2Earithmetic_2EZERO,type,
% 5.44/5.70 c_2Earithmetic_2EZERO: $i ).
% 5.44/5.70
% 5.44/5.70 thf(mem_c_2Earithmetic_2EZERO,axiom,
% 5.44/5.70 mem @ c_2Earithmetic_2EZERO @ ty_2Enum_2Enum ).
% 5.44/5.70
% 5.44/5.70 thf(stp_fo_c_2Earithmetic_2EZERO,type,
% 5.44/5.70 fo__c_2Earithmetic_2EZERO: tp__ty_2Enum_2Enum ).
% 5.44/5.70
% 5.44/5.70 thf(stp_eq_fo_c_2Earithmetic_2EZERO,axiom,
% 5.44/5.70 ( ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO )
% 5.44/5.70 = c_2Earithmetic_2EZERO ) ).
% 5.44/5.70
% 5.44/5.70 thf(tp_c_2Earithmetic_2Efindq,type,
% 5.44/5.70 c_2Earithmetic_2Efindq: $i ).
% 5.44/5.70
% 5.44/5.70 thf(mem_c_2Earithmetic_2Efindq,axiom,
% 5.44/5.70 mem @ c_2Earithmetic_2Efindq @ ( arr @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) @ ty_2Enum_2Enum ) ).
% 5.44/5.70
% 5.44/5.70 thf(stp_fo_c_2Earithmetic_2Efindq,type,
% 5.44/5.70 fo__c_2Earithmetic_2Efindq: tp__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum > tp__ty_2Enum_2Enum ).
% 5.44/5.70
% 5.44/5.70 thf(stp_eq_fo_c_2Earithmetic_2Efindq,axiom,
% 5.44/5.70 ! [X0: tp__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum] :
% 5.44/5.70 ( ( inj__ty_2Enum_2Enum @ ( fo__c_2Earithmetic_2Efindq @ X0 ) )
% 5.44/5.70 = ( ap @ c_2Earithmetic_2Efindq @ ( inj__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum @ X0 ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(tp_c_2Earithmetic_2Enat__elim____magic,type,
% 5.44/5.70 c_2Earithmetic_2Enat__elim____magic: $i ).
% 5.44/5.70
% 5.44/5.70 thf(mem_c_2Earithmetic_2Enat__elim____magic,axiom,
% 5.44/5.70 mem @ c_2Earithmetic_2Enat__elim____magic @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ).
% 5.44/5.70
% 5.44/5.70 thf(stp_fo_c_2Earithmetic_2Enat__elim____magic,type,
% 5.44/5.70 fo__c_2Earithmetic_2Enat__elim____magic: tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum ).
% 5.44/5.70
% 5.44/5.70 thf(stp_eq_fo_c_2Earithmetic_2Enat__elim____magic,axiom,
% 5.44/5.70 ! [X0: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( inj__ty_2Enum_2Enum @ ( fo__c_2Earithmetic_2Enat__elim____magic @ X0 ) )
% 5.44/5.70 = ( ap @ c_2Earithmetic_2Enat__elim____magic @ ( inj__ty_2Enum_2Enum @ X0 ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(tp_c_2Earithmetic_2Enum__CASE,type,
% 5.44/5.70 c_2Earithmetic_2Enum__CASE: del > $i ).
% 5.44/5.70
% 5.44/5.70 thf(mem_c_2Earithmetic_2Enum__CASE,axiom,
% 5.44/5.70 ! [A_27a: del] : ( mem @ ( c_2Earithmetic_2Enum__CASE @ A_27a ) @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ ( arr @ ( arr @ ty_2Enum_2Enum @ A_27a ) @ A_27a ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(ax_thm_2Earithmetic_2EADD,axiom,
% 5.44/5.70 ( ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.70 = V0n )
% 5.44/5.70 & ! [V1m: tp__ty_2Enum_2Enum,V2n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enum_2ESUC @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(ax_thm_2Earithmetic_2ENUMERAL__DEF,axiom,
% 5.44/5.70 ! [V0x: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V0x ) ) )
% 5.44/5.70 = V0x ) ).
% 5.44/5.70
% 5.44/5.70 thf(ax_thm_2Earithmetic_2EALT__ZERO,axiom,
% 5.44/5.70 fo__c_2Earithmetic_2EZERO = fo__c_2Enum_2E0 ).
% 5.44/5.70
% 5.44/5.70 thf(ax_thm_2Earithmetic_2EBIT1,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(ax_thm_2Earithmetic_2EBIT2,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ c_2Enum_2ESUC @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(ax_thm_2Earithmetic_2Enat__elim____magic,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2Enat__elim____magic @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.70 = V0n ) ).
% 5.44/5.70
% 5.44/5.70 thf(ax_thm_2Earithmetic_2ESUB,axiom,
% 5.44/5.70 ( ! [V0m: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) )
% 5.44/5.70 = fo__c_2Enum_2E0 )
% 5.44/5.70 & ! [V1m: tp__ty_2Enum_2Enum,V2n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ c_2Enum_2ESUC @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(ax_thm_2Earithmetic_2EMULT,axiom,
% 5.44/5.70 ( ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.70 = fo__c_2Enum_2E0 )
% 5.44/5.70 & ! [V1m: tp__ty_2Enum_2Enum,V2n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(ax_thm_2Earithmetic_2EEXP,axiom,
% 5.44/5.70 ( ! [V0m: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.44/5.70 & ! [V1m: tp__ty_2Enum_2Enum,V2n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(ax_thm_2Earithmetic_2EGREATER__DEF,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 <=> ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(ax_thm_2Earithmetic_2ELESS__OR__EQ,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 <=> ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 | ( V0m = V1n ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(ax_thm_2Earithmetic_2EGREATER__OR__EQ,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 <=> ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 | ( V0m = V1n ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(ax_thm_2Earithmetic_2EEVEN,axiom,
% 5.44/5.70 ( ( ( p @ ( ap @ c_2Earithmetic_2EEVEN @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.44/5.70 <=> $true )
% 5.44/5.70 & ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ c_2Earithmetic_2EEVEN @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) )
% 5.44/5.70 <=> ~ ( p @ ( ap @ c_2Earithmetic_2EEVEN @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(ax_thm_2Earithmetic_2EODD,axiom,
% 5.44/5.70 ( ( ( p @ ( ap @ c_2Earithmetic_2EODD @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.44/5.70 <=> $false )
% 5.44/5.70 & ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ c_2Earithmetic_2EODD @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) )
% 5.44/5.70 <=> ~ ( p @ ( ap @ c_2Earithmetic_2EODD @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(ax_thm_2Earithmetic_2Enum__case__def,axiom,
% 5.44/5.70 ! [A_27a: del] :
% 5.44/5.70 ( ! [V0v: $i] :
% 5.44/5.70 ( ( mem @ V0v @ A_27a )
% 5.44/5.70 => ! [V1f: $i] :
% 5.44/5.70 ( ( mem @ V1f @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.44/5.70 => ( ( ap @ ( ap @ ( ap @ ( c_2Earithmetic_2Enum__CASE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ V0v ) @ V1f )
% 5.44/5.70 = V0v ) ) )
% 5.44/5.70 & ! [V2n: tp__ty_2Enum_2Enum,V3v: $i] :
% 5.44/5.70 ( ( mem @ V3v @ A_27a )
% 5.44/5.70 => ! [V4f: $i] :
% 5.44/5.70 ( ( mem @ V4f @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.44/5.70 => ( ( ap @ ( ap @ ( ap @ ( c_2Earithmetic_2Enum__CASE @ A_27a ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) @ V3v ) @ V4f )
% 5.44/5.70 = ( ap @ V4f @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(ax_thm_2Earithmetic_2EFUNPOW,axiom,
% 5.44/5.70 ! [A_27a: del] :
% 5.44/5.70 ( ! [V0f: $i] :
% 5.44/5.70 ( ( mem @ V0f @ ( arr @ A_27a @ A_27a ) )
% 5.44/5.70 => ! [V1x: $i] :
% 5.44/5.70 ( ( mem @ V1x @ A_27a )
% 5.44/5.70 => ( ( ap @ ( ap @ ( ap @ ( c_2Earithmetic_2EFUNPOW @ A_27a ) @ V0f ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ V1x )
% 5.44/5.70 = V1x ) ) )
% 5.44/5.70 & ! [V2f: $i] :
% 5.44/5.70 ( ( mem @ V2f @ ( arr @ A_27a @ A_27a ) )
% 5.44/5.70 => ! [V3n: tp__ty_2Enum_2Enum,V4x: $i] :
% 5.44/5.70 ( ( mem @ V4x @ A_27a )
% 5.44/5.70 => ( ( ap @ ( ap @ ( ap @ ( c_2Earithmetic_2EFUNPOW @ A_27a ) @ V2f ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) @ V4x )
% 5.44/5.70 = ( ap @ ( ap @ ( ap @ ( c_2Earithmetic_2EFUNPOW @ A_27a ) @ V2f ) @ ( inj__ty_2Enum_2Enum @ V3n ) ) @ ( ap @ V2f @ V4x ) ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(ax_thm_2Earithmetic_2ENRC,axiom,
% 5.44/5.70 ! [A_27a: del] :
% 5.44/5.70 ( ! [V0R: $i] :
% 5.44/5.70 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.70 => ! [V1x: $i] :
% 5.44/5.70 ( ( mem @ V1x @ A_27a )
% 5.44/5.70 => ! [V2y: $i] :
% 5.44/5.70 ( ( mem @ V2y @ A_27a )
% 5.44/5.70 => ( ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Earithmetic_2ENRC @ A_27a ) @ V0R ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ V1x ) @ V2y ) )
% 5.44/5.70 <=> ( V1x = V2y ) ) ) ) )
% 5.44/5.70 & ! [V3R: $i] :
% 5.44/5.70 ( ( mem @ V3R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.70 => ! [V4n: tp__ty_2Enum_2Enum,V5x: $i] :
% 5.44/5.70 ( ( mem @ V5x @ A_27a )
% 5.44/5.70 => ! [V6y: $i] :
% 5.44/5.70 ( ( mem @ V6y @ A_27a )
% 5.44/5.70 => ( ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Earithmetic_2ENRC @ A_27a ) @ V3R ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V4n ) ) ) @ V5x ) @ V6y ) )
% 5.44/5.70 <=> ? [V7z: $i] :
% 5.44/5.70 ( ( mem @ V7z @ A_27a )
% 5.44/5.70 & ( p @ ( ap @ ( ap @ V3R @ V5x ) @ V7z ) )
% 5.44/5.70 & ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Earithmetic_2ENRC @ A_27a ) @ V3R ) @ ( inj__ty_2Enum_2Enum @ V4n ) ) @ V7z ) @ V6y ) ) ) ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EONE,axiom,
% 5.44/5.70 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ETWO,axiom,
% 5.44/5.70 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enum_2ESUC @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ENORM__0,axiom,
% 5.44/5.70 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) )
% 5.44/5.70 = fo__c_2Enum_2E0 ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2Enum__case__compute,axiom,
% 5.44/5.70 ! [A_27a: del,V0f: $i] :
% 5.44/5.70 ( ( mem @ V0f @ A_27a )
% 5.44/5.70 => ! [V1g: $i] :
% 5.44/5.70 ( ( mem @ V1g @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.44/5.70 => ! [V2n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( ap @ ( ap @ ( ap @ ( c_2Earithmetic_2Enum__CASE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ V0f ) @ V1g )
% 5.44/5.70 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ A_27a ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) @ V0f ) @ ( ap @ V1g @ ( ap @ c_2Eprim__rec_2EPRE @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ESUC__NOT,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( fo__c_2Enum_2E0
% 5.44/5.70 != ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EADD__0,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.44/5.70 = V0m ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EADD__SUC,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enum_2ESUC @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EADD__CLAUSES,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) )
% 5.44/5.70 = V0m )
% 5.44/5.70 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.44/5.70 = V0m )
% 5.44/5.70 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enum_2ESUC @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) )
% 5.44/5.70 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enum_2ESUC @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EADD__SYM,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EADD__COMM,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EADD__ASSOC,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum,V2p: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2Enum__CASES,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( V0m = fo__c_2Enum_2E0 )
% 5.44/5.70 | ? [V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( V0m
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ENOT__ZERO__LT__ZERO,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( V0n != fo__c_2Enum_2E0 )
% 5.44/5.70 <=> ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ENOT__LT__ZERO__EQ__ZERO,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ~ ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.70 <=> ( V0n = fo__c_2Enum_2E0 ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ELESS__OR__EQ__ALT,axiom,
% 5.44/5.70 ( c_2Earithmetic_2E_3C_3D
% 5.44/5.70 = ( ap @ ( c_2Erelation_2ERTC @ ty_2Enum_2Enum )
% 5.44/5.70 @ ( lam @ ty_2Enum_2Enum
% 5.44/5.70 @ ^ [V0x: $i] :
% 5.44/5.70 ( lam @ ty_2Enum_2Enum
% 5.44/5.70 @ ^ [V1y: $i] : ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ V1y ) @ ( ap @ c_2Enum_2ESUC @ V0x ) ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ELESS__ADD,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) )
% 5.44/5.70 => ? [V2p: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V2p ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 = V0m ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2Etransitive__LESS,axiom,
% 5.44/5.70 p @ ( ap @ ( c_2Erelation_2Etransitive @ ty_2Enum_2Enum ) @ c_2Eprim__rec_2E_3C ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ELESS__TRANS,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum,V2p: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) )
% 5.44/5.70 => ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ELESS__ANTISYM,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ~ ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ELESS__MONO__REV,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.44/5.70 => ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ELESS__MONO__EQ,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.44/5.70 <=> ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ELESS__EQ__MONO,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum,V1m: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) )
% 5.44/5.70 <=> ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ELESS__LESS__SUC,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ~ ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2Etransitive__measure,axiom,
% 5.44/5.70 ! [A_27a: del,V0f: $i] :
% 5.44/5.70 ( ( mem @ V0f @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.44/5.70 => ( p @ ( ap @ ( c_2Erelation_2Etransitive @ A_27a ) @ ( ap @ ( c_2Eprim__rec_2Emeasure @ A_27a ) @ V0f ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ELESS__EQ,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 <=> ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ELESS__OR,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 => ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EOR__LESS,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 => ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ELESS__EQ__IFF__LESS__SUC,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum,V1m: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) )
% 5.44/5.70 <=> ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ELESS__EQ__IMP__LESS__SUC,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum,V1m: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) )
% 5.44/5.70 => ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EZERO__LESS__EQ,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ELESS__SUC__EQ__COR,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 & ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0m ) ) )
% 5.44/5.70 != V1n ) )
% 5.44/5.70 => ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ELESS__NOT__SUC,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 & ( V1n
% 5.44/5.70 != ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) ) )
% 5.44/5.70 => ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ELESS__0__CASES,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( fo__c_2Enum_2E0 = V0m )
% 5.44/5.70 | ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ELESS__CASES__IMP,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( ~ ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 & ( V0m != V1n ) )
% 5.44/5.70 => ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ELESS__CASES,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 | ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EADD__INV__0,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 = V0m )
% 5.44/5.70 => ( V1n = fo__c_2Enum_2E0 ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ELESS__EQ__ADD,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ELESS__EQ__ADD__EXISTS,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) )
% 5.44/5.70 => ? [V2p: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V2p ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 = V0m ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ELESS__STRONG__ADD,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) )
% 5.44/5.70 => ? [V2p: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 = V0m ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ELESS__EQ__SUC__REFL,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ELESS__ADD__NONZERO,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( V1n != fo__c_2Enum_2E0 )
% 5.44/5.70 => ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ENOT__SUC__LESS__EQ__0,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ~ ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ENOT__LESS,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ~ ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 <=> ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ENOT__LESS__EQUAL,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ~ ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 <=> ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ELESS__EQ__ANTISYM,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ~ ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ELESS__EQ__0,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.44/5.70 <=> ( V0n = fo__c_2Enum_2E0 ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ESUB__0,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) )
% 5.44/5.70 = fo__c_2Enum_2E0 )
% 5.44/5.70 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.44/5.70 = V0m ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ESUB__MONO__EQ,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum,V1m: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ESUB__EQ__0,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 = fo__c_2Enum_2E0 )
% 5.44/5.70 <=> ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EADD1,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0m ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ESUC__SUB1,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.44/5.70 = V0m ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EPRE__SUB1,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Eprim__rec_2EPRE @ ( inj__ty_2Enum_2Enum @ V0m ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EMULT__0,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.44/5.70 = fo__c_2Enum_2E0 ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EMULT__SUC,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EMULT__LEFT__1,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) )
% 5.44/5.70 = V0m ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EMULT__RIGHT__1,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.44/5.70 = V0m ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EMULT__CLAUSES,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) )
% 5.44/5.70 = fo__c_2Enum_2E0 )
% 5.44/5.70 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.44/5.70 = fo__c_2Enum_2E0 )
% 5.44/5.70 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) )
% 5.44/5.70 = V0m )
% 5.44/5.70 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.44/5.70 = V0m )
% 5.44/5.70 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.44/5.70 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EMULT__SYM,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EMULT__COMM,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ERIGHT__ADD__DISTRIB,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum,V2p: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ELEFT__ADD__DISTRIB,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum,V2p: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V2p ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V2p ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V2p ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EMULT__ASSOC,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum,V2p: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ESUB__ADD,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) )
% 5.44/5.70 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 = V0m ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EPRE__SUB,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Eprim__rec_2EPRE @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ c_2Eprim__rec_2EPRE @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EADD__EQ__0,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 = fo__c_2Enum_2E0 )
% 5.44/5.70 <=> ( ( V0m = fo__c_2Enum_2E0 )
% 5.44/5.70 & ( V1n = fo__c_2Enum_2E0 ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EADD__EQ__1,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.44/5.70 <=> ( ( ( V0m
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.44/5.70 & ( V1n = fo__c_2Enum_2E0 ) )
% 5.44/5.70 | ( ( V0m = fo__c_2Enum_2E0 )
% 5.44/5.70 & ( V1n
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EADD__INV__0__EQ,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 = V0m )
% 5.44/5.70 <=> ( V1n = fo__c_2Enum_2E0 ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EPRE__SUC__EQ,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 => ( ( V0m
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Eprim__rec_2EPRE @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.44/5.70 <=> ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0m ) ) )
% 5.44/5.70 = V1n ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EINV__PRE__EQ,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) )
% 5.44/5.70 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.44/5.70 => ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Eprim__rec_2EPRE @ ( inj__ty_2Enum_2Enum @ V0m ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Eprim__rec_2EPRE @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.44/5.70 <=> ( V0m = V1n ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ELESS__SUC__NOT,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 => ~ ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EADD__EQ__SUB,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum,V2p: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) )
% 5.44/5.70 => ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 = V2p )
% 5.44/5.70 <=> ( V0m
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V2p ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ELESS__MONO__ADD,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum,V2p: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 => ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ELESS__MONO__ADD__INV,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum,V2p: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) )
% 5.44/5.70 => ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ELESS__MONO__ADD__EQ,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum,V2p: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) )
% 5.44/5.70 <=> ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ELT__ADD__RCANCEL,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum,V2p: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) )
% 5.44/5.70 <=> ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ELT__ADD__LCANCEL,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum,V2p: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V2p ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V2p ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.44/5.70 <=> ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EEQ__MONO__ADD__EQ,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum,V2p: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) )
% 5.44/5.70 <=> ( V0m = V1n ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ELESS__EQ__MONO__ADD__EQ,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum,V2p: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) )
% 5.44/5.70 <=> ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ELESS__EQ__TRANS,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum,V2p: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) )
% 5.44/5.70 => ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ELESS__EQ__LESS__TRANS,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum,V2p: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) )
% 5.44/5.70 => ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ELESS__LESS__EQ__TRANS,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum,V2p: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) )
% 5.44/5.70 => ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ELESS__EQ__LESS__EQ__MONO,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum,V2p: tp__ty_2Enum_2Enum,V3q: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) )
% 5.44/5.70 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V3q ) ) ) )
% 5.44/5.70 => ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V2p ) ) @ ( inj__ty_2Enum_2Enum @ V3q ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ELESS__EQ__REFL,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ELESS__IMP__LESS__OR__EQ,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 => ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ELESS__MONO__MULT,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum,V2p: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 => ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ELESS__MONO__MULT2,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum,V2i: tp__ty_2Enum_2Enum,V3j: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V2i ) ) )
% 5.44/5.70 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V3j ) ) ) )
% 5.44/5.70 => ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V2i ) ) @ ( inj__ty_2Enum_2Enum @ V3j ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ERIGHT__SUB__DISTRIB,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum,V2p: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ELEFT__SUB__DISTRIB,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum,V2p: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V2p ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V2p ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V2p ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ELESS__ADD__1,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) )
% 5.44/5.70 => ? [V2p: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( V0m
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V2p ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EEXP__ADD,axiom,
% 5.44/5.70 ! [V0p: tp__ty_2Enum_2Enum,V1q: tp__ty_2Enum_2Enum,V2n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0p ) ) @ ( inj__ty_2Enum_2Enum @ V1q ) ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( inj__ty_2Enum_2Enum @ V0p ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( inj__ty_2Enum_2Enum @ V1q ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ENOT__ODD__EQ__EVEN,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum,V1m: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enum_2ESUC @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) )
% 5.44/5.70 != ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ELESS__EQUAL__ANTISYM,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum,V1m: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) )
% 5.44/5.70 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) )
% 5.44/5.70 => ( V0n = V1m ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ELESS__ADD__SUC,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ELESS__OR__EQ__ADD,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum,V1m: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) )
% 5.44/5.70 | ? [V2p: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( V0n
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V2p ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EWOP,axiom,
% 5.44/5.70 ! [V0P: $i] :
% 5.44/5.70 ( ( mem @ V0P @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.44/5.70 => ( ? [V1n: tp__ty_2Enum_2Enum] : ( p @ ( ap @ V0P @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 => ? [V2n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ V0P @ ( inj__ty_2Enum_2Enum @ V2n ) ) )
% 5.44/5.70 & ! [V3m: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V3m ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) )
% 5.44/5.70 => ~ ( p @ ( ap @ V0P @ ( inj__ty_2Enum_2Enum @ V3m ) ) ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ECOMPLETE__INDUCTION,axiom,
% 5.44/5.70 ! [V0P: $i] :
% 5.44/5.70 ( ( mem @ V0P @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.44/5.70 => ( ! [V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ! [V2m: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V2m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 => ( p @ ( ap @ V0P @ ( inj__ty_2Enum_2Enum @ V2m ) ) ) )
% 5.44/5.70 => ( p @ ( ap @ V0P @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.44/5.70 => ! [V3n: tp__ty_2Enum_2Enum] : ( p @ ( ap @ V0P @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EFORALL__NUM__THM,axiom,
% 5.44/5.70 ! [V0P: $i] :
% 5.44/5.70 ( ( mem @ V0P @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.44/5.70 => ( ! [V1n: tp__ty_2Enum_2Enum] : ( p @ ( ap @ V0P @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 <=> ( ( p @ ( ap @ V0P @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.44/5.70 & ! [V2n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ V0P @ ( inj__ty_2Enum_2Enum @ V2n ) ) )
% 5.44/5.70 => ( p @ ( ap @ V0P @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ESUC__SUB,axiom,
% 5.44/5.70 ! [V0a: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0a ) ) ) @ ( inj__ty_2Enum_2Enum @ V0a ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ESUB__PLUS,axiom,
% 5.44/5.70 ! [V0a: tp__ty_2Enum_2Enum,V1b: tp__ty_2Enum_2Enum,V2c: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1b ) ) @ ( inj__ty_2Enum_2Enum @ V2c ) ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) ) @ ( inj__ty_2Enum_2Enum @ V2c ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EINV__PRE__LESS,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) )
% 5.44/5.70 => ! [V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Eprim__rec_2EPRE @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) @ ( ap @ c_2Eprim__rec_2EPRE @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.44/5.70 <=> ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EINV__PRE__LESS__EQ,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.70 => ! [V1m: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Eprim__rec_2EPRE @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) @ ( ap @ c_2Eprim__rec_2EPRE @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) )
% 5.44/5.70 <=> ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EPRE__LESS__EQ,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 => ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Eprim__rec_2EPRE @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) @ ( ap @ c_2Eprim__rec_2EPRE @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ESUB__LESS__EQ,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum,V1m: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ESUB__EQ__EQ__0,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 = V0m )
% 5.44/5.70 <=> ( ( V0m = fo__c_2Enum_2E0 )
% 5.44/5.70 | ( V1n = fo__c_2Enum_2E0 ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ESUB__LESS__0,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum,V1m: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.70 <=> ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ESUB__LESS__OR,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) )
% 5.44/5.70 => ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ELESS__SUB__ADD__LESS,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum,V1m: tp__ty_2Enum_2Enum,V2i: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V2i ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) )
% 5.44/5.70 => ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V2i ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ETIMES2,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ELESS__MULT__MONO,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1i: tp__ty_2Enum_2Enum,V2n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) @ ( inj__ty_2Enum_2Enum @ V1i ) ) ) )
% 5.44/5.70 <=> ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1i ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EMULT__MONO__EQ,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1i: tp__ty_2Enum_2Enum,V2n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) @ ( inj__ty_2Enum_2Enum @ V1i ) ) ) )
% 5.44/5.70 <=> ( V0m = V1i ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EMULT__SUC__EQ,axiom,
% 5.44/5.70 ! [V0p: tp__ty_2Enum_2Enum,V1m: tp__ty_2Enum_2Enum,V2n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0p ) ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0p ) ) ) ) )
% 5.44/5.70 <=> ( V2n = V1m ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EMULT__EXP__MONO,axiom,
% 5.44/5.70 ! [V0p: tp__ty_2Enum_2Enum,V1q: tp__ty_2Enum_2Enum,V2n: tp__ty_2Enum_2Enum,V3m: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1q ) ) ) @ ( inj__ty_2Enum_2Enum @ V0p ) ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V3m ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1q ) ) ) @ ( inj__ty_2Enum_2Enum @ V0p ) ) ) ) )
% 5.44/5.70 <=> ( V2n = V3m ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EEQ__ADD__LCANCEL,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum,V2p: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) )
% 5.44/5.70 <=> ( V1n = V2p ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EEQ__ADD__RCANCEL,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum,V2p: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) )
% 5.44/5.70 <=> ( V0m = V1n ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EEQ__MULT__LCANCEL,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum,V2p: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) )
% 5.44/5.70 <=> ( ( V0m = fo__c_2Enum_2E0 )
% 5.44/5.70 | ( V1n = V2p ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EEQ__MULT__RCANCEL,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum,V2p: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V2p ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) )
% 5.44/5.70 <=> ( ( V0m = fo__c_2Enum_2E0 )
% 5.44/5.70 | ( V1n = V2p ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EADD__SUB,axiom,
% 5.44/5.70 ! [V0a: tp__ty_2Enum_2Enum,V1c: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( inj__ty_2Enum_2Enum @ V1c ) ) ) @ ( inj__ty_2Enum_2Enum @ V1c ) ) )
% 5.44/5.70 = V0a ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ELESS__EQ__ADD__SUB,axiom,
% 5.44/5.70 ! [V0c: tp__ty_2Enum_2Enum,V1b: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0c ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) )
% 5.44/5.70 => ! [V2a: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V2a ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) ) @ ( inj__ty_2Enum_2Enum @ V0c ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V2a ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V1b ) ) @ ( inj__ty_2Enum_2Enum @ V0c ) ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ESUB__EQUAL__0,axiom,
% 5.44/5.70 ! [V0c: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V0c ) ) @ ( inj__ty_2Enum_2Enum @ V0c ) ) )
% 5.44/5.70 = fo__c_2Enum_2E0 ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ELESS__EQ__SUB__LESS,axiom,
% 5.44/5.70 ! [V0a: tp__ty_2Enum_2Enum,V1b: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1b ) ) @ ( inj__ty_2Enum_2Enum @ V0a ) ) )
% 5.44/5.70 => ! [V2c: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) ) @ ( inj__ty_2Enum_2Enum @ V2c ) ) )
% 5.44/5.70 <=> ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1b ) ) @ ( inj__ty_2Enum_2Enum @ V2c ) ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ENOT__SUC__LESS__EQ,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum,V1m: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ~ ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) )
% 5.44/5.70 <=> ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ESUB__SUB,axiom,
% 5.44/5.70 ! [V0b: tp__ty_2Enum_2Enum,V1c: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1c ) ) @ ( inj__ty_2Enum_2Enum @ V0b ) ) )
% 5.44/5.70 => ! [V2a: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V2a ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V0b ) ) @ ( inj__ty_2Enum_2Enum @ V1c ) ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V2a ) ) @ ( inj__ty_2Enum_2Enum @ V1c ) ) ) @ ( inj__ty_2Enum_2Enum @ V0b ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ELESS__IMP__LESS__ADD,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum,V1m: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) )
% 5.44/5.70 => ! [V2p: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ESUB__LESS__EQ__ADD,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1p: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1p ) ) )
% 5.44/5.70 => ! [V2n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V1p ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) )
% 5.44/5.70 <=> ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1p ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ESUB__LESS__SUC,axiom,
% 5.44/5.70 ! [V0p: tp__ty_2Enum_2Enum,V1m: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V0p ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0p ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ESUB__CANCEL,axiom,
% 5.44/5.70 ! [V0p: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum,V2m: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V0p ) ) )
% 5.44/5.70 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V2m ) ) @ ( inj__ty_2Enum_2Enum @ V0p ) ) ) )
% 5.44/5.70 => ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V0p ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V0p ) ) @ ( inj__ty_2Enum_2Enum @ V2m ) ) ) )
% 5.44/5.70 <=> ( V1n = V2m ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ECANCEL__SUB,axiom,
% 5.44/5.70 ! [V0p: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum,V2m: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0p ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0p ) ) @ ( inj__ty_2Enum_2Enum @ V2m ) ) ) )
% 5.44/5.70 => ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V0p ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V2m ) ) @ ( inj__ty_2Enum_2Enum @ V0p ) ) ) )
% 5.44/5.70 <=> ( V1n = V2m ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ENOT__EXP__0,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) )
% 5.44/5.70 != fo__c_2Enum_2E0 ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EZERO__LESS__EXP,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EODD__OR__EVEN,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ? [V1m: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( V0n
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ c_2Enum_2ESUC @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) )
% 5.44/5.70 | ( V0n
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ c_2Enum_2ESUC @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ELESS__EXP__SUC__MONO,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum,V1m: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Enum_2ESUC @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Enum_2ESUC @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ELESS__LESS__CASES,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( V0m = V1n )
% 5.44/5.70 | ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 | ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EGREATER__EQ,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum,V1m: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) )
% 5.44/5.70 <=> ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ELESS__EQ__CASES,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 | ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ELESS__EQUAL__ADD,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 => ? [V2p: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( V1n
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ELESS__EQ__EXISTS,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 <=> ? [V2p: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( V1n
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EMULT__EQ__0,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 = fo__c_2Enum_2E0 )
% 5.44/5.70 <=> ( ( V0m = fo__c_2Enum_2E0 )
% 5.44/5.70 | ( V1n = fo__c_2Enum_2E0 ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EMULT__EQ__1,axiom,
% 5.44/5.70 ! [V0x: tp__ty_2Enum_2Enum,V1y: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( inj__ty_2Enum_2Enum @ V1y ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.44/5.70 <=> ( ( V0x
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.44/5.70 & ( V1y
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EMULT__EQ__ID,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 = V1n )
% 5.44/5.70 <=> ( ( V0m
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.44/5.70 | ( V1n = fo__c_2Enum_2E0 ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ELESS__MULT2,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) )
% 5.44/5.70 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.44/5.70 => ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EZERO__LESS__MULT,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.44/5.70 <=> ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) )
% 5.44/5.70 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EZERO__LESS__ADD,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.44/5.70 <=> ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) )
% 5.44/5.70 | ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(ax_thm_2Earithmetic_2EFACT,axiom,
% 5.44/5.70 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2EFACT @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.44/5.70 & ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2EFACT @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( ap @ c_2Earithmetic_2EFACT @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EFACT__LESS,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ c_2Earithmetic_2EFACT @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EEVEN__ODD,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ c_2Earithmetic_2EEVEN @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.70 <=> ~ ( p @ ( ap @ c_2Earithmetic_2EODD @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EODD__EVEN,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ c_2Earithmetic_2EODD @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.70 <=> ~ ( p @ ( ap @ c_2Earithmetic_2EEVEN @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EEVEN__OR__ODD,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ c_2Earithmetic_2EEVEN @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.70 | ( p @ ( ap @ c_2Earithmetic_2EODD @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EEVEN__AND__ODD,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ~ ( ( p @ ( ap @ c_2Earithmetic_2EEVEN @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.70 & ( p @ ( ap @ c_2Earithmetic_2EODD @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EEVEN__ADD,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ c_2Earithmetic_2EEVEN @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.44/5.70 <=> ( ( p @ ( ap @ c_2Earithmetic_2EEVEN @ ( inj__ty_2Enum_2Enum @ V0m ) ) )
% 5.44/5.70 <=> ( p @ ( ap @ c_2Earithmetic_2EEVEN @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EEVEN__MULT,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ c_2Earithmetic_2EEVEN @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.44/5.70 <=> ( ( p @ ( ap @ c_2Earithmetic_2EEVEN @ ( inj__ty_2Enum_2Enum @ V0m ) ) )
% 5.44/5.70 | ( p @ ( ap @ c_2Earithmetic_2EEVEN @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EODD__ADD,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ c_2Earithmetic_2EODD @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.44/5.70 <=> ~ ( ( p @ ( ap @ c_2Earithmetic_2EODD @ ( inj__ty_2Enum_2Enum @ V0m ) ) )
% 5.44/5.70 <=> ( p @ ( ap @ c_2Earithmetic_2EODD @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EODD__MULT,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ c_2Earithmetic_2EODD @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.44/5.70 <=> ( ( p @ ( ap @ c_2Earithmetic_2EODD @ ( inj__ty_2Enum_2Enum @ V0m ) ) )
% 5.44/5.70 & ( p @ ( ap @ c_2Earithmetic_2EODD @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EEVEN__DOUBLE,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum] : ( p @ ( ap @ c_2Earithmetic_2EEVEN @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EODD__DOUBLE,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum] : ( p @ ( ap @ c_2Earithmetic_2EODD @ ( ap @ c_2Enum_2ESUC @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EEVEN__ODD__EXISTS,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( ( p @ ( ap @ c_2Earithmetic_2EEVEN @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.70 => ? [V1m: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( V0n
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) ) )
% 5.44/5.70 & ( ( p @ ( ap @ c_2Earithmetic_2EODD @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.70 => ? [V2m: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( V0n
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enum_2ESUC @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V2m ) ) ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EEVEN__EXISTS,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ c_2Earithmetic_2EEVEN @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.70 <=> ? [V1m: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( V0n
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EODD__EXISTS,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ c_2Earithmetic_2EODD @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.70 <=> ? [V1m: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( V0n
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enum_2ESUC @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EEVEN__EXP__IFF,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum,V1m: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ c_2Earithmetic_2EEVEN @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) )
% 5.44/5.70 <=> ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.70 & ( p @ ( ap @ c_2Earithmetic_2EEVEN @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EEVEN__EXP,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 & ( p @ ( ap @ c_2Earithmetic_2EEVEN @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) )
% 5.44/5.70 => ( p @ ( ap @ c_2Earithmetic_2EEVEN @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EODD__EXP__IFF,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum,V1m: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ c_2Earithmetic_2EODD @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) )
% 5.44/5.70 <=> ( ( V0n = fo__c_2Enum_2E0 )
% 5.44/5.70 | ( p @ ( ap @ c_2Earithmetic_2EODD @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EODD__EXP,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 & ( p @ ( ap @ c_2Earithmetic_2EODD @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) )
% 5.44/5.70 => ( p @ ( ap @ c_2Earithmetic_2EODD @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EEQ__LESS__EQ,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( V0m = V1n )
% 5.44/5.70 <=> ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EADD__MONO__LESS__EQ,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum,V2p: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) )
% 5.44/5.70 <=> ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ELE__ADD__LCANCEL,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum,V2p: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) )
% 5.44/5.70 <=> ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ELE__ADD__RCANCEL,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum,V2p: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V2p ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) )
% 5.44/5.70 <=> ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ENOT__LEQ,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ~ ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 <=> ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ENOT__NUM__EQ,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( V0m != V1n )
% 5.44/5.70 <=> ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 | ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ENOT__GREATER,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ~ ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 <=> ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ENOT__GREATER__EQ,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ~ ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 <=> ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ESUC__ONE__ADD,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ESUC__ADD__SYM,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enum_2ESUC @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ENOT__SUC__ADD__LESS__EQ,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ~ ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Enum_2ESUC @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EMULT__LESS__EQ__SUC,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum,V2p: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 <=> ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ELE__MULT__LCANCEL,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum,V2p: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) )
% 5.44/5.70 <=> ( ( V0m = fo__c_2Enum_2E0 )
% 5.44/5.70 | ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ELE__MULT__RCANCEL,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum,V2p: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V2p ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.44/5.70 <=> ( ( V1n = fo__c_2Enum_2E0 )
% 5.44/5.70 | ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ELT__MULT__LCANCEL,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum,V2p: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) )
% 5.44/5.70 <=> ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) )
% 5.44/5.70 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ELT__MULT__RCANCEL,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum,V2p: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V2p ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.44/5.70 <=> ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ELT__MULT__CANCEL__LBARE,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.44/5.70 <=> ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) )
% 5.44/5.70 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) )
% 5.44/5.70 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) )
% 5.44/5.70 <=> ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) )
% 5.44/5.70 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ELT__MULT__CANCEL__RBARE,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) )
% 5.44/5.70 <=> ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) )
% 5.44/5.70 & ( V1n = fo__c_2Enum_2E0 ) ) )
% 5.44/5.70 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 <=> ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 & ( V0m = fo__c_2Enum_2E0 ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ELE__MULT__CANCEL__LBARE,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.44/5.70 <=> ( ( V0m = fo__c_2Enum_2E0 )
% 5.44/5.70 | ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) )
% 5.44/5.70 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) )
% 5.44/5.70 <=> ( ( V0m = fo__c_2Enum_2E0 )
% 5.44/5.70 | ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ELE__MULT__CANCEL__RBARE,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) )
% 5.44/5.70 <=> ( ( V0m = fo__c_2Enum_2E0 )
% 5.44/5.70 | ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.44/5.70 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 <=> ( ( V1n = fo__c_2Enum_2E0 )
% 5.44/5.70 | ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ESUB__LEFT__ADD,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum,V2p: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ESUB__RIGHT__ADD,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum,V2p: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ESUB__LEFT__SUB,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum,V2p: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ESUB__RIGHT__SUB,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum,V2p: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ESUB__LEFT__SUC,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enum_2ESUC @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ESUB__LEFT__LESS__EQ,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum,V2p: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) )
% 5.44/5.70 <=> ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 | ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ESUB__RIGHT__LESS__EQ,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum,V2p: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) )
% 5.44/5.70 <=> ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ESUB__LEFT__LESS,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum,V2p: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) )
% 5.44/5.70 <=> ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ESUB__RIGHT__LESS,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum,V2p: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) )
% 5.44/5.70 <=> ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) )
% 5.44/5.70 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ESUB__LEFT__GREATER__EQ,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum,V2p: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) )
% 5.44/5.70 <=> ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ESUB__RIGHT__GREATER__EQ,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum,V2p: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) )
% 5.44/5.70 <=> ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) )
% 5.44/5.70 | ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ESUB__LEFT__GREATER,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum,V2p: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) )
% 5.44/5.70 <=> ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ESUB__RIGHT__GREATER,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum,V2p: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) )
% 5.44/5.70 <=> ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ESUB__LEFT__EQ,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum,V2p: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( V0m
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) )
% 5.44/5.70 <=> ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) )
% 5.44/5.70 = V1n )
% 5.44/5.70 | ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.44/5.70 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ESUB__RIGHT__EQ,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum,V2p: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 = V2p )
% 5.44/5.70 <=> ( ( V0m
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) )
% 5.44/5.70 | ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V2p ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ELE,axiom,
% 5.44/5.70 ( ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.44/5.70 <=> ( V0n = fo__c_2Enum_2E0 ) )
% 5.44/5.70 & ! [V1m: tp__ty_2Enum_2Enum,V2n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) )
% 5.44/5.70 <=> ( ( V1m
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) )
% 5.44/5.70 | ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EDA,axiom,
% 5.44/5.70 ! [V0k: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 => ? [V2r: tp__ty_2Enum_2Enum,V3q: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( V0k
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V3q ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ ( inj__ty_2Enum_2Enum @ V2r ) ) ) )
% 5.44/5.70 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V2r ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(ax_thm_2Earithmetic_2EDIVISION,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.70 => ! [V1k: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( V1k
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( inj__ty_2Enum_2Enum @ V1k ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V1k ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) )
% 5.44/5.70 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V1k ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(ax_thm_2Earithmetic_2EDIV2__def,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2EDIV2 @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EMOD__ONE,axiom,
% 5.44/5.70 ! [V0k: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V0k ) ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) )
% 5.44/5.70 = fo__c_2Enum_2E0 ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EMOD__1,axiom,
% 5.44/5.70 ! [V0k: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V0k ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.44/5.70 = fo__c_2Enum_2E0 ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EDIV__LESS__EQ,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.70 => ! [V1k: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( inj__ty_2Enum_2Enum @ V1k ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( inj__ty_2Enum_2Enum @ V1k ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EDIV__UNIQUE,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum,V1k: tp__ty_2Enum_2Enum,V2q: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ? [V3r: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( V1k
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V2q ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( inj__ty_2Enum_2Enum @ V3r ) ) ) )
% 5.44/5.70 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V3r ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) )
% 5.44/5.70 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( inj__ty_2Enum_2Enum @ V1k ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.70 = V2q ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EMOD__UNIQUE,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum,V1k: tp__ty_2Enum_2Enum,V2r: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ? [V3q: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( V1k
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V3q ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( inj__ty_2Enum_2Enum @ V2r ) ) ) )
% 5.44/5.70 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V2r ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) )
% 5.44/5.70 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V1k ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.70 = V2r ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EDIV__MULT,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum,V1r: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1r ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.70 => ! [V2q: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V2q ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( inj__ty_2Enum_2Enum @ V1r ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.70 = V2q ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ELESS__MOD,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum,V1k: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1k ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.70 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V1k ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.70 = V1k ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EMOD__EQ__0,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.70 => ! [V1k: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V1k ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.70 = fo__c_2Enum_2E0 ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EZERO__MOD,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.70 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.70 = fo__c_2Enum_2E0 ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EZERO__DIV,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.70 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.70 = fo__c_2Enum_2E0 ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EMOD__MULT,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum,V1r: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1r ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.70 => ! [V2q: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V2q ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( inj__ty_2Enum_2Enum @ V1r ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.70 = V1r ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EMOD__TIMES,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.70 => ! [V1q: tp__ty_2Enum_2Enum,V2r: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V1q ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( inj__ty_2Enum_2Enum @ V2r ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V2r ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EMOD__TIMES__SUB,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum,V1q: tp__ty_2Enum_2Enum,V2r: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.70 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V1q ) ) )
% 5.44/5.70 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V2r ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) )
% 5.44/5.70 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V1q ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( inj__ty_2Enum_2Enum @ V2r ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V2r ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EMOD__PLUS,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.70 => ! [V1j: tp__ty_2Enum_2Enum,V2k: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V1j ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V2k ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1j ) ) @ ( inj__ty_2Enum_2Enum @ V2k ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EMOD__MOD,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.70 => ! [V1k: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V1k ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V1k ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ELESS__DIV__EQ__ZERO,axiom,
% 5.44/5.70 ! [V0r: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0r ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( inj__ty_2Enum_2Enum @ V0r ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 = fo__c_2Enum_2E0 ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EMULT__DIV,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum,V1q: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.70 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V1q ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.70 = V1q ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EADD__DIV__ADD__DIV,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.70 => ! [V1x: tp__ty_2Enum_2Enum,V2r: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( inj__ty_2Enum_2Enum @ V2r ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( inj__ty_2Enum_2Enum @ V2r ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EADD__DIV__RWT,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.70 => ! [V1m: tp__ty_2Enum_2Enum,V2p: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.70 = fo__c_2Enum_2E0 )
% 5.44/5.70 | ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V2p ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.70 = fo__c_2Enum_2E0 ) )
% 5.44/5.70 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( inj__ty_2Enum_2Enum @ V2p ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EMOD__MULT__MOD,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) )
% 5.44/5.70 => ! [V2x: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V2x ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V2x ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EDIV__ONE,axiom,
% 5.44/5.70 ! [V0q: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( inj__ty_2Enum_2Enum @ V0q ) ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) )
% 5.44/5.70 = V0q ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EDIV__1,axiom,
% 5.44/5.70 ! [V0q: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( inj__ty_2Enum_2Enum @ V0q ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.44/5.70 = V0q ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EDIVMOD__ID,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.70 => ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.44/5.70 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.70 = fo__c_2Enum_2E0 ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EDIV__DIV__DIV__MULT,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) )
% 5.44/5.70 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.44/5.70 => ! [V2x: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( inj__ty_2Enum_2Enum @ V2x ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( inj__ty_2Enum_2Enum @ V2x ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ESUC__PRE,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) )
% 5.44/5.70 <=> ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enum_2ESUC @ ( ap @ c_2Eprim__rec_2EPRE @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) )
% 5.44/5.70 = V0m ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EDIV__LESS,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum,V1d: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.70 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1d ) ) ) )
% 5.44/5.70 => ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1d ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EMOD__LESS,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 => ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EADD__MODULUS,axiom,
% 5.44/5.70 ( ! [V0n: tp__ty_2Enum_2Enum,V1x: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.70 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) )
% 5.44/5.70 & ! [V2n: tp__ty_2Enum_2Enum,V3x: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) )
% 5.44/5.70 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( inj__ty_2Enum_2Enum @ V3x ) ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V3x ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EADD__MODULUS__LEFT,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum,V1x: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.70 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EADD__MODULUS__RIGHT,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum,V1x: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.70 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EDIV__P,axiom,
% 5.44/5.70 ! [V0P: $i] :
% 5.44/5.70 ( ( mem @ V0P @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.44/5.70 => ! [V1p: tp__ty_2Enum_2Enum,V2q: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V2q ) ) )
% 5.44/5.70 => ( ( p @ ( ap @ V0P @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( inj__ty_2Enum_2Enum @ V1p ) ) @ ( inj__ty_2Enum_2Enum @ V2q ) ) ) )
% 5.44/5.70 <=> ? [V3k: tp__ty_2Enum_2Enum,V4r: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( V1p
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V3k ) ) @ ( inj__ty_2Enum_2Enum @ V2q ) ) ) @ ( inj__ty_2Enum_2Enum @ V4r ) ) ) )
% 5.44/5.70 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V4r ) ) @ ( inj__ty_2Enum_2Enum @ V2q ) ) )
% 5.44/5.70 & ( p @ ( ap @ V0P @ ( inj__ty_2Enum_2Enum @ V3k ) ) ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EDIV__P__UNIV,axiom,
% 5.44/5.70 ! [V0P: $i] :
% 5.44/5.70 ( ( mem @ V0P @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.44/5.70 => ! [V1m: tp__ty_2Enum_2Enum,V2n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) )
% 5.44/5.70 => ( ( p @ ( ap @ V0P @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) )
% 5.44/5.70 <=> ! [V3q: tp__ty_2Enum_2Enum,V4r: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( ( V1m
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V3q ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) @ ( inj__ty_2Enum_2Enum @ V4r ) ) ) )
% 5.44/5.70 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V4r ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) )
% 5.44/5.70 => ( p @ ( ap @ V0P @ ( inj__ty_2Enum_2Enum @ V3q ) ) ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EMOD__P,axiom,
% 5.44/5.70 ! [V0P: $i] :
% 5.44/5.70 ( ( mem @ V0P @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.44/5.70 => ! [V1p: tp__ty_2Enum_2Enum,V2q: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V2q ) ) )
% 5.44/5.70 => ( ( p @ ( ap @ V0P @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V1p ) ) @ ( inj__ty_2Enum_2Enum @ V2q ) ) ) )
% 5.44/5.70 <=> ? [V3k: tp__ty_2Enum_2Enum,V4r: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( V1p
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V3k ) ) @ ( inj__ty_2Enum_2Enum @ V2q ) ) ) @ ( inj__ty_2Enum_2Enum @ V4r ) ) ) )
% 5.44/5.70 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V4r ) ) @ ( inj__ty_2Enum_2Enum @ V2q ) ) )
% 5.44/5.70 & ( p @ ( ap @ V0P @ ( inj__ty_2Enum_2Enum @ V4r ) ) ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EMOD__P__UNIV,axiom,
% 5.44/5.70 ! [V0P: $i] :
% 5.44/5.70 ( ( mem @ V0P @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.44/5.70 => ! [V1m: tp__ty_2Enum_2Enum,V2n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) )
% 5.44/5.70 => ( ( p @ ( ap @ V0P @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) )
% 5.44/5.70 <=> ! [V3q: tp__ty_2Enum_2Enum,V4r: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( ( V1m
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V3q ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) @ ( inj__ty_2Enum_2Enum @ V4r ) ) ) )
% 5.44/5.70 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V4r ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) )
% 5.44/5.70 => ( p @ ( ap @ V0P @ ( inj__ty_2Enum_2Enum @ V4r ) ) ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EMOD__TIMES2,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.70 => ! [V1j: tp__ty_2Enum_2Enum,V2k: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V1j ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V2k ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V1j ) ) @ ( inj__ty_2Enum_2Enum @ V2k ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EMOD__COMMON__FACTOR,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum,V1p: tp__ty_2Enum_2Enum,V2q: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.70 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V2q ) ) ) )
% 5.44/5.70 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V1p ) ) @ ( inj__ty_2Enum_2Enum @ V2q ) ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1p ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V2q ) ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EX__MOD__Y__EQ__X,axiom,
% 5.44/5.70 ! [V0x: tp__ty_2Enum_2Enum,V1y: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V1y ) ) )
% 5.44/5.70 => ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( inj__ty_2Enum_2Enum @ V1y ) ) )
% 5.44/5.70 = V0x )
% 5.44/5.70 <=> ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( inj__ty_2Enum_2Enum @ V1y ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EDIV__LE__MONOTONE,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum,V1x: tp__ty_2Enum_2Enum,V2y: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.70 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( inj__ty_2Enum_2Enum @ V2y ) ) ) )
% 5.44/5.70 => ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( inj__ty_2Enum_2Enum @ V2y ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ELE__LT1,axiom,
% 5.44/5.70 ! [V0x: tp__ty_2Enum_2Enum,V1y: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( inj__ty_2Enum_2Enum @ V1y ) ) )
% 5.44/5.70 <=> ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1y ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EX__LE__DIV,axiom,
% 5.44/5.70 ! [V0x: tp__ty_2Enum_2Enum,V1y: tp__ty_2Enum_2Enum,V2z: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V2z ) ) )
% 5.44/5.70 => ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( inj__ty_2Enum_2Enum @ V1y ) ) @ ( inj__ty_2Enum_2Enum @ V2z ) ) ) )
% 5.44/5.70 <=> ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( inj__ty_2Enum_2Enum @ V2z ) ) ) @ ( inj__ty_2Enum_2Enum @ V1y ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EX__LT__DIV,axiom,
% 5.44/5.70 ! [V0x: tp__ty_2Enum_2Enum,V1y: tp__ty_2Enum_2Enum,V2z: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V2z ) ) )
% 5.44/5.70 => ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( inj__ty_2Enum_2Enum @ V1y ) ) @ ( inj__ty_2Enum_2Enum @ V2z ) ) ) )
% 5.44/5.70 <=> ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V2z ) ) ) @ ( inj__ty_2Enum_2Enum @ V1y ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EDIV__LT__X,axiom,
% 5.44/5.70 ! [V0x: tp__ty_2Enum_2Enum,V1y: tp__ty_2Enum_2Enum,V2z: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V2z ) ) )
% 5.44/5.70 => ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( inj__ty_2Enum_2Enum @ V1y ) ) @ ( inj__ty_2Enum_2Enum @ V2z ) ) ) @ ( inj__ty_2Enum_2Enum @ V0x ) ) )
% 5.44/5.70 <=> ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1y ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( inj__ty_2Enum_2Enum @ V2z ) ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EDIV__LE__X,axiom,
% 5.44/5.70 ! [V0x: tp__ty_2Enum_2Enum,V1y: tp__ty_2Enum_2Enum,V2z: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V2z ) ) )
% 5.44/5.70 => ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( inj__ty_2Enum_2Enum @ V1y ) ) @ ( inj__ty_2Enum_2Enum @ V2z ) ) ) @ ( inj__ty_2Enum_2Enum @ V0x ) ) )
% 5.44/5.70 <=> ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1y ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V2z ) ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EDIV__EQ__X,axiom,
% 5.44/5.70 ! [V0x: tp__ty_2Enum_2Enum,V1y: tp__ty_2Enum_2Enum,V2z: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V2z ) ) )
% 5.44/5.70 => ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( inj__ty_2Enum_2Enum @ V1y ) ) @ ( inj__ty_2Enum_2Enum @ V2z ) ) )
% 5.44/5.70 = V0x )
% 5.44/5.70 <=> ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( inj__ty_2Enum_2Enum @ V2z ) ) ) @ ( inj__ty_2Enum_2Enum @ V1y ) ) )
% 5.44/5.70 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1y ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0x ) ) ) @ ( inj__ty_2Enum_2Enum @ V2z ) ) ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EDIV__MOD__MOD__DIV,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum,V2k: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V2k ) ) ) )
% 5.44/5.70 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ ( inj__ty_2Enum_2Enum @ V2k ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V2k ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EMULT__EQ__DIV,axiom,
% 5.44/5.70 ! [V0x: tp__ty_2Enum_2Enum,V1y: tp__ty_2Enum_2Enum,V2z: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0x ) ) )
% 5.44/5.70 => ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( inj__ty_2Enum_2Enum @ V1y ) ) )
% 5.44/5.70 = V2z )
% 5.44/5.70 <=> ( ( V1y
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( inj__ty_2Enum_2Enum @ V2z ) ) @ ( inj__ty_2Enum_2Enum @ V0x ) ) ) )
% 5.44/5.70 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V2z ) ) @ ( inj__ty_2Enum_2Enum @ V0x ) ) )
% 5.44/5.70 = fo__c_2Enum_2E0 ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ENUMERAL__MULT__EQ__DIV,axiom,
% 5.44/5.70 ! [V0x: tp__ty_2Enum_2Enum,V1y: tp__ty_2Enum_2Enum,V2z: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V0x ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1y ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V2z ) ) ) )
% 5.44/5.70 <=> ( ( V1y
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V2z ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V0x ) ) ) ) ) )
% 5.44/5.70 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V2z ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V0x ) ) ) ) )
% 5.44/5.70 = fo__c_2Enum_2E0 ) ) )
% 5.44/5.70 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V0x ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1y ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V2z ) ) ) )
% 5.44/5.70 <=> ( ( V1y
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V2z ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V0x ) ) ) ) ) )
% 5.44/5.70 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V2z ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V0x ) ) ) ) )
% 5.44/5.70 = fo__c_2Enum_2E0 ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EMOD__EQ__0__DIVISOR,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum,V1k: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.70 => ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V1k ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.70 = fo__c_2Enum_2E0 )
% 5.44/5.70 <=> ? [V2d: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( V1k
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V2d ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EMOD__SUC,axiom,
% 5.44/5.70 ! [V0y: tp__ty_2Enum_2Enum,V1x: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0y ) ) )
% 5.44/5.70 & ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.44/5.70 != ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ c_2Enum_2ESUC @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( inj__ty_2Enum_2Enum @ V0y ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0y ) ) ) ) )
% 5.44/5.70 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( inj__ty_2Enum_2Enum @ V0y ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enum_2ESUC @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( inj__ty_2Enum_2Enum @ V0y ) ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EMOD__SUC__IFF,axiom,
% 5.44/5.70 ! [V0y: tp__ty_2Enum_2Enum,V1x: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0y ) ) )
% 5.44/5.70 => ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( inj__ty_2Enum_2Enum @ V0y ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enum_2ESUC @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( inj__ty_2Enum_2Enum @ V0y ) ) ) ) )
% 5.44/5.70 <=> ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.44/5.70 != ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ c_2Enum_2ESUC @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( inj__ty_2Enum_2Enum @ V0y ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0y ) ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EONE__MOD,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.70 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EONE__MOD__IFF,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.70 <=> ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.70 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EMOD__LESS__EQ,axiom,
% 5.44/5.70 ! [V0y: tp__ty_2Enum_2Enum,V1x: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0y ) ) )
% 5.44/5.70 => ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( inj__ty_2Enum_2Enum @ V0y ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EMOD__LIFT__PLUS,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum,V1k: tp__ty_2Enum_2Enum,V2x: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.70 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1k ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V2x ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) )
% 5.44/5.70 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V2x ) ) @ ( inj__ty_2Enum_2Enum @ V1k ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V2x ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( inj__ty_2Enum_2Enum @ V1k ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EMOD__LIFT__PLUS__IFF,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum,V1x: tp__ty_2Enum_2Enum,V2k: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.70 => ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( inj__ty_2Enum_2Enum @ V2k ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( inj__ty_2Enum_2Enum @ V2k ) ) ) )
% 5.44/5.70 <=> ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V2k ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2Enum__case__cong,axiom,
% 5.44/5.70 ! [A_27a: del,V0v_27: $i] :
% 5.44/5.70 ( ( mem @ V0v_27 @ A_27a )
% 5.44/5.70 => ! [V1f_27: $i] :
% 5.44/5.70 ( ( mem @ V1f_27 @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.44/5.70 => ! [V2M: tp__ty_2Enum_2Enum,V3M_27: tp__ty_2Enum_2Enum,V4v: $i] :
% 5.44/5.70 ( ( mem @ V4v @ A_27a )
% 5.44/5.70 => ! [V5f: $i] :
% 5.44/5.70 ( ( mem @ V5f @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.44/5.70 => ( ( ( V2M = V3M_27 )
% 5.44/5.70 & ( ( V3M_27 = fo__c_2Enum_2E0 )
% 5.44/5.70 => ( V4v = V0v_27 ) )
% 5.44/5.70 & ! [V6n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( V3M_27
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V6n ) ) ) )
% 5.44/5.70 => ( ( ap @ V5f @ ( inj__ty_2Enum_2Enum @ V6n ) )
% 5.44/5.70 = ( ap @ V1f_27 @ ( inj__ty_2Enum_2Enum @ V6n ) ) ) ) )
% 5.44/5.70 => ( ( ap @ ( ap @ ( ap @ ( c_2Earithmetic_2Enum__CASE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V2M ) ) @ V4v ) @ V5f )
% 5.44/5.70 = ( ap @ ( ap @ ( ap @ ( c_2Earithmetic_2Enum__CASE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V3M_27 ) ) @ V0v_27 ) @ V1f_27 ) ) ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ESUC__ELIM__THM,axiom,
% 5.44/5.70 ! [V0P: $i] :
% 5.44/5.70 ( ( mem @ V0P @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ bool ) ) )
% 5.44/5.70 => ( ! [V1n: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ V0P @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 <=> ! [V2n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) )
% 5.44/5.70 => ( p @ ( ap @ ( ap @ V0P @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ESUC__ELIM__NUMERALS,axiom,
% 5.44/5.70 ! [A_27a: del,V0f: $i] :
% 5.44/5.70 ( ( mem @ V0f @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ A_27a ) ) )
% 5.44/5.70 => ! [V1g: $i] :
% 5.44/5.70 ( ( mem @ V1g @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.44/5.70 => ( ! [V2n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( ap @ V1g @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V2n ) ) )
% 5.44/5.70 = ( ap @ ( ap @ V0f @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) )
% 5.44/5.70 <=> ( ! [V3n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( ap @ V1g @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) )
% 5.44/5.70 = ( ap @ ( ap @ V0f @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) ) )
% 5.44/5.70 & ! [V4n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( ap @ V1g @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V4n ) ) ) )
% 5.44/5.70 = ( ap @ ( ap @ V0f @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V4n ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V4n ) ) ) ) ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ESUB__ELIM__THM,axiom,
% 5.44/5.70 ! [V0P: $i] :
% 5.44/5.70 ( ( mem @ V0P @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.44/5.70 => ! [V1a: tp__ty_2Enum_2Enum,V2b: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ V0P @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V1a ) ) @ ( inj__ty_2Enum_2Enum @ V2b ) ) ) )
% 5.44/5.70 <=> ! [V3d: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( ( V2b
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1a ) ) @ ( inj__ty_2Enum_2Enum @ V3d ) ) ) )
% 5.44/5.70 => ( p @ ( ap @ V0P @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) )
% 5.44/5.70 & ( ( V1a
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V2b ) ) @ ( inj__ty_2Enum_2Enum @ V3d ) ) ) )
% 5.44/5.70 => ( p @ ( ap @ V0P @ ( inj__ty_2Enum_2Enum @ V3d ) ) ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EPRE__ELIM__THM,axiom,
% 5.44/5.70 ! [V0P: $i] :
% 5.44/5.70 ( ( mem @ V0P @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.44/5.70 => ! [V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ V0P @ ( ap @ c_2Eprim__rec_2EPRE @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.44/5.70 <=> ! [V2m: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( ( V1n = fo__c_2Enum_2E0 )
% 5.44/5.70 => ( p @ ( ap @ V0P @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) )
% 5.44/5.70 & ( ( V1n
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V2m ) ) ) )
% 5.44/5.70 => ( p @ ( ap @ V0P @ ( inj__ty_2Enum_2Enum @ V2m ) ) ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EMULT__INCREASES,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) )
% 5.44/5.70 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.44/5.70 => ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EEXP__ALWAYS__BIG__ENOUGH,axiom,
% 5.44/5.70 ! [V0b: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0b ) ) )
% 5.44/5.70 => ! [V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ? [V2m: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( inj__ty_2Enum_2Enum @ V0b ) ) @ ( inj__ty_2Enum_2Enum @ V2m ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EEXP__EQ__0,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum,V1m: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) )
% 5.44/5.70 = fo__c_2Enum_2E0 )
% 5.44/5.70 <=> ( ( V0n = fo__c_2Enum_2E0 )
% 5.44/5.70 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EZERO__LT__EXP,axiom,
% 5.44/5.70 ! [V0x: tp__ty_2Enum_2Enum,V1y: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( inj__ty_2Enum_2Enum @ V1y ) ) ) )
% 5.44/5.70 <=> ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0x ) ) )
% 5.44/5.70 | ( V1y = fo__c_2Enum_2E0 ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EEXP__1,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.44/5.70 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.44/5.70 = V0n ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EEXP__EQ__1,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum,V1m: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.44/5.70 <=> ( ( V0n
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.44/5.70 | ( V1m = fo__c_2Enum_2E0 ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EEXP__BASE__LE__MONO,axiom,
% 5.44/5.70 ! [V0b: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0b ) ) )
% 5.44/5.70 => ! [V1n: tp__ty_2Enum_2Enum,V2m: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( inj__ty_2Enum_2Enum @ V0b ) ) @ ( inj__ty_2Enum_2Enum @ V2m ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( inj__ty_2Enum_2Enum @ V0b ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.44/5.70 <=> ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V2m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EEXP__BASE__LT__MONO,axiom,
% 5.44/5.70 ! [V0b: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0b ) ) )
% 5.44/5.70 => ! [V1n: tp__ty_2Enum_2Enum,V2m: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( inj__ty_2Enum_2Enum @ V0b ) ) @ ( inj__ty_2Enum_2Enum @ V2m ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( inj__ty_2Enum_2Enum @ V0b ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.44/5.70 <=> ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V2m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EEXP__BASE__INJECTIVE,axiom,
% 5.44/5.70 ! [V0b: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0b ) ) )
% 5.44/5.70 => ! [V1n: tp__ty_2Enum_2Enum,V2m: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( inj__ty_2Enum_2Enum @ V0b ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( inj__ty_2Enum_2Enum @ V0b ) ) @ ( inj__ty_2Enum_2Enum @ V2m ) ) ) )
% 5.44/5.70 <=> ( V1n = V2m ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EEXP__BASE__LEQ__MONO__IMP,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum,V1m: tp__ty_2Enum_2Enum,V2b: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V2b ) ) )
% 5.44/5.70 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) )
% 5.44/5.70 => ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( inj__ty_2Enum_2Enum @ V2b ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( inj__ty_2Enum_2Enum @ V2b ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EEXP__BASE__LEQ__MONO__SUC__IMP,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum,V2b: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 => ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V2b ) ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V2b ) ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EEXP__BASE__LE__IFF,axiom,
% 5.44/5.70 ! [V0b: tp__ty_2Enum_2Enum,V1m: tp__ty_2Enum_2Enum,V2n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( inj__ty_2Enum_2Enum @ V0b ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( inj__ty_2Enum_2Enum @ V0b ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) )
% 5.44/5.70 <=> ( ( ( V0b = fo__c_2Enum_2E0 )
% 5.44/5.70 & ( V2n = fo__c_2Enum_2E0 ) )
% 5.44/5.70 | ( ( V0b = fo__c_2Enum_2E0 )
% 5.44/5.70 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) )
% 5.44/5.70 | ( V0b
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.44/5.70 | ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0b ) ) )
% 5.44/5.70 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EX__LE__X__EXP,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum,V1x: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.70 => ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EX__LT__EXP__X,axiom,
% 5.44/5.70 ! [V0b: tp__ty_2Enum_2Enum,V1x: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0b ) ) )
% 5.44/5.70 => ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( inj__ty_2Enum_2Enum @ V0b ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EZERO__EXP,axiom,
% 5.44/5.70 ! [V0x: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0x ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EX__LT__EXP__X__IFF,axiom,
% 5.44/5.70 ! [V0x: tp__ty_2Enum_2Enum,V1b: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( inj__ty_2Enum_2Enum @ V1b ) ) @ ( inj__ty_2Enum_2Enum @ V0x ) ) ) )
% 5.44/5.70 <=> ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) )
% 5.44/5.70 | ( V0x = fo__c_2Enum_2E0 ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EEXP__EXP__LT__MONO,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum,V1a: tp__ty_2Enum_2Enum,V2b: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( inj__ty_2Enum_2Enum @ V1a ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( inj__ty_2Enum_2Enum @ V2b ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) )
% 5.44/5.70 <=> ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1a ) ) @ ( inj__ty_2Enum_2Enum @ V2b ) ) )
% 5.44/5.70 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EEXP__EXP__LE__MONO,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum,V1a: tp__ty_2Enum_2Enum,V2b: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( inj__ty_2Enum_2Enum @ V1a ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( inj__ty_2Enum_2Enum @ V2b ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) )
% 5.44/5.70 <=> ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1a ) ) @ ( inj__ty_2Enum_2Enum @ V2b ) ) )
% 5.44/5.70 | ( V0n = fo__c_2Enum_2E0 ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EEXP__EXP__INJECTIVE,axiom,
% 5.44/5.70 ! [V0b1: tp__ty_2Enum_2Enum,V1b2: tp__ty_2Enum_2Enum,V2x: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( inj__ty_2Enum_2Enum @ V0b1 ) ) @ ( inj__ty_2Enum_2Enum @ V2x ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( inj__ty_2Enum_2Enum @ V1b2 ) ) @ ( inj__ty_2Enum_2Enum @ V2x ) ) ) )
% 5.44/5.70 <=> ( ( V2x = fo__c_2Enum_2E0 )
% 5.44/5.70 | ( V0b1 = V1b2 ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EEXP__SUB,axiom,
% 5.44/5.70 ! [V0p: tp__ty_2Enum_2Enum,V1q: tp__ty_2Enum_2Enum,V2n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) )
% 5.44/5.70 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1q ) ) @ ( inj__ty_2Enum_2Enum @ V0p ) ) ) )
% 5.44/5.70 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V0p ) ) @ ( inj__ty_2Enum_2Enum @ V1q ) ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( inj__ty_2Enum_2Enum @ V0p ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( inj__ty_2Enum_2Enum @ V1q ) ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EEXP__SUB__NUMERAL,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum,V1x: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.70 => ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.44/5.70 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EEXP__BASE__MULT,axiom,
% 5.44/5.70 ! [V0z: tp__ty_2Enum_2Enum,V1x: tp__ty_2Enum_2Enum,V2y: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( inj__ty_2Enum_2Enum @ V2y ) ) ) @ ( inj__ty_2Enum_2Enum @ V0z ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( inj__ty_2Enum_2Enum @ V0z ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( inj__ty_2Enum_2Enum @ V2y ) ) @ ( inj__ty_2Enum_2Enum @ V0z ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EEXP__EXP__MULT,axiom,
% 5.44/5.70 ! [V0z: tp__ty_2Enum_2Enum,V1x: tp__ty_2Enum_2Enum,V2y: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V2y ) ) @ ( inj__ty_2Enum_2Enum @ V0z ) ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( inj__ty_2Enum_2Enum @ V2y ) ) ) @ ( inj__ty_2Enum_2Enum @ V0z ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(ax_thm_2Earithmetic_2EMAX__DEF,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMAX @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(ax_thm_2Earithmetic_2EMIN__DEF,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMIN @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EMAX__COMM,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMAX @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMAX @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EMIN__COMM,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMIN @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMIN @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EMAX__ASSOC,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum,V2p: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMAX @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EMAX @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMAX @ ( ap @ ( ap @ c_2Earithmetic_2EMAX @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EMIN__ASSOC,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum,V2p: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMIN @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EMIN @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMIN @ ( ap @ ( ap @ c_2Earithmetic_2EMIN @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EMIN__MAX__EQ,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMIN @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMAX @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.44/5.70 <=> ( V0m = V1n ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EMIN__MAX__LT,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ ( ap @ c_2Earithmetic_2EMIN @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EMAX @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.44/5.70 <=> ( V0m != V1n ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EMIN__MAX__LE,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2EMIN @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EMAX @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EMIN__MAX__PRED,axiom,
% 5.44/5.70 ! [V0P: $i] :
% 5.44/5.70 ( ( mem @ V0P @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.44/5.70 => ! [V1m: tp__ty_2Enum_2Enum,V2n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( ( p @ ( ap @ V0P @ ( inj__ty_2Enum_2Enum @ V1m ) ) )
% 5.44/5.70 & ( p @ ( ap @ V0P @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) )
% 5.44/5.70 => ( ( p @ ( ap @ V0P @ ( ap @ ( ap @ c_2Earithmetic_2EMIN @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) )
% 5.44/5.70 & ( p @ ( ap @ V0P @ ( ap @ ( ap @ c_2Earithmetic_2EMAX @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EMIN__LT,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum,V1m: tp__ty_2Enum_2Enum,V2p: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ ( ap @ c_2Earithmetic_2EMIN @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) )
% 5.44/5.70 <=> ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) )
% 5.44/5.70 | ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) ) )
% 5.44/5.70 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V2p ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EMIN @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) )
% 5.44/5.70 <=> ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V2p ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) )
% 5.44/5.70 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V2p ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EMAX__LT,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum,V1m: tp__ty_2Enum_2Enum,V2p: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V2p ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EMAX @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) )
% 5.44/5.70 <=> ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V2p ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) )
% 5.44/5.70 | ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V2p ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) )
% 5.44/5.70 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ ( ap @ c_2Earithmetic_2EMAX @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) )
% 5.44/5.70 <=> ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) )
% 5.44/5.70 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EMIN__LE,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum,V1m: tp__ty_2Enum_2Enum,V2p: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2EMIN @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) )
% 5.44/5.70 <=> ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) )
% 5.44/5.70 | ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) ) )
% 5.44/5.70 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V2p ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EMIN @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) )
% 5.44/5.70 <=> ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V2p ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) )
% 5.44/5.70 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V2p ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EMAX__LE,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum,V1m: tp__ty_2Enum_2Enum,V2p: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V2p ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EMAX @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) )
% 5.44/5.70 <=> ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V2p ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) )
% 5.44/5.70 | ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V2p ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) )
% 5.44/5.70 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2EMAX @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) )
% 5.44/5.70 <=> ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) )
% 5.44/5.70 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EMIN__0,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMIN @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.44/5.70 = fo__c_2Enum_2E0 )
% 5.44/5.70 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMIN @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.70 = fo__c_2Enum_2E0 ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EMAX__0,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMAX @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.44/5.70 = V0n )
% 5.44/5.70 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMAX @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.70 = V0n ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EMAX__EQ__0,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMAX @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 = fo__c_2Enum_2E0 )
% 5.44/5.70 <=> ( ( V0m = fo__c_2Enum_2E0 )
% 5.44/5.70 & ( V1n = fo__c_2Enum_2E0 ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EMIN__EQ__0,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMIN @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 = fo__c_2Enum_2E0 )
% 5.44/5.70 <=> ( ( V0m = fo__c_2Enum_2E0 )
% 5.44/5.70 | ( V1n = fo__c_2Enum_2E0 ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EMIN__IDEM,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMIN @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.70 = V0n ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EMAX__IDEM,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMAX @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.70 = V0n ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EEXISTS__GREATEST,axiom,
% 5.44/5.70 ! [V0P: $i] :
% 5.44/5.70 ( ( mem @ V0P @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.44/5.70 => ( ( ? [V1x: tp__ty_2Enum_2Enum] : ( p @ ( ap @ V0P @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.44/5.70 & ? [V2x: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ! [V3y: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( inj__ty_2Enum_2Enum @ V3y ) ) @ ( inj__ty_2Enum_2Enum @ V2x ) ) )
% 5.44/5.70 => ~ ( p @ ( ap @ V0P @ ( inj__ty_2Enum_2Enum @ V3y ) ) ) ) )
% 5.44/5.70 <=> ? [V4x: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ V0P @ ( inj__ty_2Enum_2Enum @ V4x ) ) )
% 5.44/5.70 & ! [V5y: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( inj__ty_2Enum_2Enum @ V5y ) ) @ ( inj__ty_2Enum_2Enum @ V4x ) ) )
% 5.44/5.70 => ~ ( p @ ( ap @ V0P @ ( inj__ty_2Enum_2Enum @ V5y ) ) ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EEXISTS__NUM,axiom,
% 5.44/5.70 ! [V0P: $i] :
% 5.44/5.70 ( ( mem @ V0P @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.44/5.70 => ( ? [V1n: tp__ty_2Enum_2Enum] : ( p @ ( ap @ V0P @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 <=> ( ( p @ ( ap @ V0P @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.44/5.70 | ? [V2m: tp__ty_2Enum_2Enum] : ( p @ ( ap @ V0P @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V2m ) ) ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EFORALL__NUM,axiom,
% 5.44/5.70 ! [V0P: $i] :
% 5.44/5.70 ( ( mem @ V0P @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.44/5.70 => ( ! [V1n: tp__ty_2Enum_2Enum] : ( p @ ( ap @ V0P @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.70 <=> ( ( p @ ( ap @ V0P @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.44/5.70 & ! [V2n: tp__ty_2Enum_2Enum] : ( p @ ( ap @ V0P @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EBOUNDED__FORALL__THM,axiom,
% 5.44/5.70 ! [V0P: $i] :
% 5.44/5.70 ( ( mem @ V0P @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.44/5.70 => ! [V1c: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V1c ) ) )
% 5.44/5.70 => ( ! [V2n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( inj__ty_2Enum_2Enum @ V1c ) ) )
% 5.44/5.70 => ( p @ ( ap @ V0P @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) )
% 5.44/5.70 <=> ( ( p @ ( ap @ V0P @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V1c ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.44/5.70 & ! [V3n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V3n ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V1c ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.44/5.70 => ( p @ ( ap @ V0P @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EBOUNDED__EXISTS__THM,axiom,
% 5.44/5.70 ! [V0P: $i] :
% 5.44/5.70 ( ( mem @ V0P @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.44/5.70 => ! [V1c: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V1c ) ) )
% 5.44/5.70 => ( ? [V2n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( inj__ty_2Enum_2Enum @ V1c ) ) )
% 5.44/5.70 & ( p @ ( ap @ V0P @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) )
% 5.44/5.70 <=> ( ( p @ ( ap @ V0P @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V1c ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.44/5.70 | ? [V3n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V3n ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V1c ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.44/5.70 & ( p @ ( ap @ V0P @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2Etransitive__monotone,axiom,
% 5.44/5.70 ! [A_27a: del,V0R: $i] :
% 5.44/5.70 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.70 => ! [V1f: $i] :
% 5.44/5.70 ( ( mem @ V1f @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.44/5.70 => ( ( ( p @ ( ap @ ( c_2Erelation_2Etransitive @ A_27a ) @ V0R ) )
% 5.44/5.70 & ! [V2n: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ V0R @ ( ap @ V1f @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) @ ( ap @ V1f @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) ) )
% 5.44/5.70 => ! [V3m: tp__ty_2Enum_2Enum,V4n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V3m ) ) @ ( inj__ty_2Enum_2Enum @ V4n ) ) )
% 5.44/5.70 => ( p @ ( ap @ ( ap @ V0R @ ( ap @ V1f @ ( inj__ty_2Enum_2Enum @ V3m ) ) ) @ ( ap @ V1f @ ( inj__ty_2Enum_2Enum @ V4n ) ) ) ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ESTRICTLY__INCREASING__TC,axiom,
% 5.44/5.70 ! [V0f: $i] :
% 5.44/5.70 ( ( mem @ V0f @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.44/5.70 => ( ! [V1n: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ V0f @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ ( ap @ V0f @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) )
% 5.44/5.70 => ! [V2m: tp__ty_2Enum_2Enum,V3n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V2m ) ) @ ( inj__ty_2Enum_2Enum @ V3n ) ) )
% 5.44/5.70 => ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ V0f @ ( inj__ty_2Enum_2Enum @ V2m ) ) ) @ ( ap @ V0f @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ESTRICTLY__INCREASING__ONE__ONE,axiom,
% 5.44/5.70 ! [V0f: $i] :
% 5.44/5.70 ( ( mem @ V0f @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.44/5.70 => ( ! [V1n: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ V0f @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ ( ap @ V0f @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) )
% 5.44/5.70 => ( p @ ( ap @ ( c_2Ebool_2EONE__ONE @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ V0f ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EONE__ONE__INV__IMAGE__BOUNDED,axiom,
% 5.44/5.70 ! [V0f: $i] :
% 5.44/5.70 ( ( mem @ V0f @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.44/5.70 => ( ( p @ ( ap @ ( c_2Ebool_2EONE__ONE @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ V0f ) )
% 5.44/5.70 => ! [V1b: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ? [V2a: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ! [V3x: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ V0f @ ( inj__ty_2Enum_2Enum @ V3x ) ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) )
% 5.44/5.70 => ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V3x ) ) @ ( inj__ty_2Enum_2Enum @ V2a ) ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EONE__ONE__UNBOUNDED,axiom,
% 5.44/5.70 ! [V0f: $i] :
% 5.44/5.70 ( ( mem @ V0f @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.44/5.70 => ( ( p @ ( ap @ ( c_2Ebool_2EONE__ONE @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ V0f ) )
% 5.44/5.70 => ! [V1b: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ? [V2n: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1b ) ) @ ( ap @ V0f @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ESTRICTLY__INCREASING__UNBOUNDED,axiom,
% 5.44/5.70 ! [V0f: $i] :
% 5.44/5.70 ( ( mem @ V0f @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.44/5.70 => ( ! [V1n: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ V0f @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ ( ap @ V0f @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) )
% 5.44/5.70 => ! [V2b: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ? [V3n: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V2b ) ) @ ( ap @ V0f @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ENOT__STRICTLY__DECREASING,axiom,
% 5.44/5.70 ! [V0f: $i] :
% 5.44/5.70 ( ( mem @ V0f @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.44/5.70 => ~ ! [V1n: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ V0f @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) @ ( ap @ V0f @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(ax_thm_2Earithmetic_2EABS__DIFF__def,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum,V1m: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EABS__DIFF @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EABS__DIFF__SYM,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum,V1m: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EABS__DIFF @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EABS__DIFF @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EABS__DIFF__COMM,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum,V1m: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EABS__DIFF @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EABS__DIFF @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EABS__DIFF__EQS,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EABS__DIFF @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.70 = fo__c_2Enum_2E0 ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EABS__DIFF__EQ__0,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum,V1m: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EABS__DIFF @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) )
% 5.44/5.70 = fo__c_2Enum_2E0 )
% 5.44/5.70 <=> ( V0n = V1m ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EABS__DIFF__ZERO,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EABS__DIFF @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.44/5.70 = V0n )
% 5.44/5.70 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EABS__DIFF @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.70 = V0n ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EABS__DIFF__SUC,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum,V1m: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EABS__DIFF @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EABS__DIFF @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EABS__DIFF__SUC__LE,axiom,
% 5.44/5.70 ! [V0x: tp__ty_2Enum_2Enum,V1z: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2EABS__DIFF @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1z ) ) ) ) @ ( ap @ c_2Enum_2ESUC @ ( ap @ ( ap @ c_2Earithmetic_2EABS__DIFF @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( inj__ty_2Enum_2Enum @ V1z ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EABS__DIFF__PLUS__LE,axiom,
% 5.44/5.70 ! [V0x: tp__ty_2Enum_2Enum,V1z: tp__ty_2Enum_2Enum,V2y: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2EABS__DIFF @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V2y ) ) @ ( inj__ty_2Enum_2Enum @ V1z ) ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V2y ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EABS__DIFF @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( inj__ty_2Enum_2Enum @ V1z ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EABS__DIFF__LE__SUM,axiom,
% 5.44/5.70 ! [V0x: tp__ty_2Enum_2Enum,V1z: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2EABS__DIFF @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( inj__ty_2Enum_2Enum @ V1z ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( inj__ty_2Enum_2Enum @ V1z ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EABS__DIFF__TRIANGLE__lem,axiom,
% 5.44/5.70 ! [V0x: tp__ty_2Enum_2Enum,V1y: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ c_2Earithmetic_2EABS__DIFF @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( inj__ty_2Enum_2Enum @ V1y ) ) ) @ ( inj__ty_2Enum_2Enum @ V1y ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EABS__DIFF__TRIANGLE,axiom,
% 5.44/5.70 ! [V0x: tp__ty_2Enum_2Enum,V1y: tp__ty_2Enum_2Enum,V2z: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2EABS__DIFF @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( inj__ty_2Enum_2Enum @ V2z ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ c_2Earithmetic_2EABS__DIFF @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( inj__ty_2Enum_2Enum @ V1y ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EABS__DIFF @ ( inj__ty_2Enum_2Enum @ V1y ) ) @ ( inj__ty_2Enum_2Enum @ V2z ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EABS__DIFF__ADD__SAME,axiom,
% 5.44/5.70 ! [V0n: tp__ty_2Enum_2Enum,V1m: tp__ty_2Enum_2Enum,V2p: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EABS__DIFF @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) )
% 5.44/5.70 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EABS__DIFF @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ELE__SUB__RCANCEL,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum,V2p: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V2p ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) )
% 5.44/5.70 <=> ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) )
% 5.44/5.70 | ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ELT__SUB__RCANCEL,axiom,
% 5.44/5.70 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum,V2p: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V2p ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) )
% 5.44/5.70 <=> ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) )
% 5.44/5.70 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ELE__SUB__LCANCEL,axiom,
% 5.44/5.70 ! [V0z: tp__ty_2Enum_2Enum,V1y: tp__ty_2Enum_2Enum,V2x: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V2x ) ) @ ( inj__ty_2Enum_2Enum @ V1y ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V2x ) ) @ ( inj__ty_2Enum_2Enum @ V0z ) ) ) )
% 5.44/5.70 <=> ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0z ) ) @ ( inj__ty_2Enum_2Enum @ V1y ) ) )
% 5.44/5.70 | ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V2x ) ) @ ( inj__ty_2Enum_2Enum @ V1y ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ELT__SUB__LCANCEL,axiom,
% 5.44/5.70 ! [V0z: tp__ty_2Enum_2Enum,V1y: tp__ty_2Enum_2Enum,V2x: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V2x ) ) @ ( inj__ty_2Enum_2Enum @ V1y ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V2x ) ) @ ( inj__ty_2Enum_2Enum @ V0z ) ) ) )
% 5.44/5.70 <=> ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0z ) ) @ ( inj__ty_2Enum_2Enum @ V1y ) ) )
% 5.44/5.70 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0z ) ) @ ( inj__ty_2Enum_2Enum @ V2x ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EABS__DIFF__SUMS,axiom,
% 5.44/5.70 ! [V0n1: tp__ty_2Enum_2Enum,V1n2: tp__ty_2Enum_2Enum,V2m1: tp__ty_2Enum_2Enum,V3m2: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2EABS__DIFF @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0n1 ) ) @ ( inj__ty_2Enum_2Enum @ V1n2 ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V2m1 ) ) @ ( inj__ty_2Enum_2Enum @ V3m2 ) ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ c_2Earithmetic_2EABS__DIFF @ ( inj__ty_2Enum_2Enum @ V0n1 ) ) @ ( inj__ty_2Enum_2Enum @ V2m1 ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EABS__DIFF @ ( inj__ty_2Enum_2Enum @ V1n2 ) ) @ ( inj__ty_2Enum_2Enum @ V3m2 ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EFUNPOW__SUC,axiom,
% 5.44/5.70 ! [A_27a: del,V0f: $i] :
% 5.44/5.70 ( ( mem @ V0f @ ( arr @ A_27a @ A_27a ) )
% 5.44/5.70 => ! [V1n: tp__ty_2Enum_2Enum,V2x: $i] :
% 5.44/5.70 ( ( mem @ V2x @ A_27a )
% 5.44/5.70 => ( ( ap @ ( ap @ ( ap @ ( c_2Earithmetic_2EFUNPOW @ A_27a ) @ V0f ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ V2x )
% 5.44/5.70 = ( ap @ V0f @ ( ap @ ( ap @ ( ap @ ( c_2Earithmetic_2EFUNPOW @ A_27a ) @ V0f ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ V2x ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EFUNPOW__0,axiom,
% 5.44/5.70 ! [A_27a: del,V0f: $i] :
% 5.44/5.70 ( ( mem @ V0f @ ( arr @ A_27a @ A_27a ) )
% 5.44/5.70 => ! [V1x: $i] :
% 5.44/5.70 ( ( mem @ V1x @ A_27a )
% 5.44/5.70 => ( ( ap @ ( ap @ ( ap @ ( c_2Earithmetic_2EFUNPOW @ A_27a ) @ V0f ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ V1x )
% 5.44/5.70 = V1x ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EFUNPOW__ADD,axiom,
% 5.44/5.70 ! [A_27a: del,V0f: $i] :
% 5.44/5.70 ( ( mem @ V0f @ ( arr @ A_27a @ A_27a ) )
% 5.44/5.70 => ! [V1x: $i] :
% 5.44/5.70 ( ( mem @ V1x @ A_27a )
% 5.44/5.70 => ! [V2m: tp__ty_2Enum_2Enum,V3n: tp__ty_2Enum_2Enum] :
% 5.44/5.70 ( ( ap @ ( ap @ ( ap @ ( c_2Earithmetic_2EFUNPOW @ A_27a ) @ V0f ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V2m ) ) @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) @ V1x )
% 5.44/5.70 = ( ap @ ( ap @ ( ap @ ( c_2Earithmetic_2EFUNPOW @ A_27a ) @ V0f ) @ ( inj__ty_2Enum_2Enum @ V2m ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Earithmetic_2EFUNPOW @ A_27a ) @ V0f ) @ ( inj__ty_2Enum_2Enum @ V3n ) ) @ V1x ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2EFUNPOW__1,axiom,
% 5.44/5.70 ! [A_27a: del,V0f: $i] :
% 5.44/5.70 ( ( mem @ V0f @ ( arr @ A_27a @ A_27a ) )
% 5.44/5.70 => ! [V1x: $i] :
% 5.44/5.70 ( ( mem @ V1x @ A_27a )
% 5.44/5.70 => ( ( ap @ ( ap @ ( ap @ ( c_2Earithmetic_2EFUNPOW @ A_27a ) @ V0f ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ V1x )
% 5.44/5.70 = ( ap @ V0f @ V1x ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ENRC__0,axiom,
% 5.44/5.70 ! [A_27a: del,V0R: $i] :
% 5.44/5.70 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.70 => ! [V1x: $i] :
% 5.44/5.70 ( ( mem @ V1x @ A_27a )
% 5.44/5.70 => ! [V2y: $i] :
% 5.44/5.70 ( ( mem @ V2y @ A_27a )
% 5.44/5.70 => ( ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Earithmetic_2ENRC @ A_27a ) @ V0R ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ V1x ) @ V2y ) )
% 5.44/5.70 <=> ( V1x = V2y ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ENRC__1,axiom,
% 5.44/5.70 ! [A_27a: del,V0R: $i] :
% 5.44/5.70 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.70 => ! [V1x: $i] :
% 5.44/5.70 ( ( mem @ V1x @ A_27a )
% 5.44/5.70 => ! [V2y: $i] :
% 5.44/5.70 ( ( mem @ V2y @ A_27a )
% 5.44/5.70 => ( ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Earithmetic_2ENRC @ A_27a ) @ V0R ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ V1x ) @ V2y ) )
% 5.44/5.70 <=> ( p @ ( ap @ ( ap @ V0R @ V1x ) @ V2y ) ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ENRC__ADD__I,axiom,
% 5.44/5.70 ! [A_27a: del,V0R: $i] :
% 5.44/5.70 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.70 => ! [V1m: tp__ty_2Enum_2Enum,V2n: tp__ty_2Enum_2Enum,V3x: $i] :
% 5.44/5.70 ( ( mem @ V3x @ A_27a )
% 5.44/5.70 => ! [V4y: $i] :
% 5.44/5.70 ( ( mem @ V4y @ A_27a )
% 5.44/5.70 => ! [V5z: $i] :
% 5.44/5.70 ( ( mem @ V5z @ A_27a )
% 5.44/5.70 => ( ( ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Earithmetic_2ENRC @ A_27a ) @ V0R ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ V3x ) @ V4y ) )
% 5.44/5.70 & ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Earithmetic_2ENRC @ A_27a ) @ V0R ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ V4y ) @ V5z ) ) )
% 5.44/5.70 => ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Earithmetic_2ENRC @ A_27a ) @ V0R ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) @ V3x ) @ V5z ) ) ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ENRC__ADD__E,axiom,
% 5.44/5.70 ! [A_27a: del,V0R: $i] :
% 5.44/5.70 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.70 => ! [V1m: tp__ty_2Enum_2Enum,V2n: tp__ty_2Enum_2Enum,V3x: $i] :
% 5.44/5.70 ( ( mem @ V3x @ A_27a )
% 5.44/5.70 => ! [V4z: $i] :
% 5.44/5.70 ( ( mem @ V4z @ A_27a )
% 5.44/5.70 => ( ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Earithmetic_2ENRC @ A_27a ) @ V0R ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) @ V3x ) @ V4z ) )
% 5.44/5.70 => ? [V5y: $i] :
% 5.44/5.70 ( ( mem @ V5y @ A_27a )
% 5.44/5.70 & ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Earithmetic_2ENRC @ A_27a ) @ V0R ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ V3x ) @ V5y ) )
% 5.44/5.70 & ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Earithmetic_2ENRC @ A_27a ) @ V0R ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ V5y ) @ V4z ) ) ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ENRC__ADD__EQN,axiom,
% 5.44/5.70 ! [A_27a: del,V0R: $i] :
% 5.44/5.70 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.70 => ! [V1m: tp__ty_2Enum_2Enum,V2n: tp__ty_2Enum_2Enum,V3x: $i] :
% 5.44/5.70 ( ( mem @ V3x @ A_27a )
% 5.44/5.70 => ! [V4z: $i] :
% 5.44/5.70 ( ( mem @ V4z @ A_27a )
% 5.44/5.70 => ( ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Earithmetic_2ENRC @ A_27a ) @ V0R ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) @ V3x ) @ V4z ) )
% 5.44/5.70 <=> ? [V5y: $i] :
% 5.44/5.70 ( ( mem @ V5y @ A_27a )
% 5.44/5.70 & ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Earithmetic_2ENRC @ A_27a ) @ V0R ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ V3x ) @ V5y ) )
% 5.44/5.70 & ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Earithmetic_2ENRC @ A_27a ) @ V0R ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ V5y ) @ V4z ) ) ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ENRC__SUC__RECURSE__LEFT,axiom,
% 5.44/5.70 ! [A_27a: del,V0R: $i] :
% 5.44/5.70 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.70 => ! [V1n: tp__ty_2Enum_2Enum,V2x: $i] :
% 5.44/5.70 ( ( mem @ V2x @ A_27a )
% 5.44/5.70 => ! [V3y: $i] :
% 5.44/5.70 ( ( mem @ V3y @ A_27a )
% 5.44/5.70 => ( ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Earithmetic_2ENRC @ A_27a ) @ V0R ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ V2x ) @ V3y ) )
% 5.44/5.70 <=> ? [V4z: $i] :
% 5.44/5.70 ( ( mem @ V4z @ A_27a )
% 5.44/5.70 & ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Earithmetic_2ENRC @ A_27a ) @ V0R ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ V2x ) @ V4z ) )
% 5.44/5.70 & ( p @ ( ap @ ( ap @ V0R @ V4z ) @ V3y ) ) ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ENRC__RTC,axiom,
% 5.44/5.70 ! [A_27a: del,V0R: $i] :
% 5.44/5.70 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.70 => ! [V1n: tp__ty_2Enum_2Enum,V2x: $i] :
% 5.44/5.70 ( ( mem @ V2x @ A_27a )
% 5.44/5.70 => ! [V3y: $i] :
% 5.44/5.70 ( ( mem @ V3y @ A_27a )
% 5.44/5.70 => ( ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Earithmetic_2ENRC @ A_27a ) @ V0R ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ V2x ) @ V3y ) )
% 5.44/5.70 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ERTC @ A_27a ) @ V0R ) @ V2x ) @ V3y ) ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ERTC__NRC,axiom,
% 5.44/5.70 ! [A_27a: del,V0R: $i] :
% 5.44/5.70 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.70 => ! [V1x: $i] :
% 5.44/5.70 ( ( mem @ V1x @ A_27a )
% 5.44/5.70 => ! [V2y: $i] :
% 5.44/5.70 ( ( mem @ V2y @ A_27a )
% 5.44/5.70 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ERTC @ A_27a ) @ V0R ) @ V1x ) @ V2y ) )
% 5.44/5.70 => ? [V3n: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Earithmetic_2ENRC @ A_27a ) @ V0R ) @ ( inj__ty_2Enum_2Enum @ V3n ) ) @ V1x ) @ V2y ) ) ) ) ) ) ).
% 5.44/5.70
% 5.44/5.70 thf(conj_thm_2Earithmetic_2ERTC__eq__NRC,axiom,
% 5.44/5.70 ! [A_27a: del,V0R: $i] :
% 5.44/5.70 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.70 => ! [V1x: $i] :
% 5.44/5.71 ( ( mem @ V1x @ A_27a )
% 5.44/5.71 => ! [V2y: $i] :
% 5.44/5.71 ( ( mem @ V2y @ A_27a )
% 5.44/5.71 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ERTC @ A_27a ) @ V0R ) @ V1x ) @ V2y ) )
% 5.44/5.71 <=> ? [V3n: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Earithmetic_2ENRC @ A_27a ) @ V0R ) @ ( inj__ty_2Enum_2Enum @ V3n ) ) @ V1x ) @ V2y ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Earithmetic_2ETC__eq__NRC,axiom,
% 5.44/5.71 ! [A_27a: del,V0R: $i] :
% 5.44/5.71 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.71 => ! [V1x: $i] :
% 5.44/5.71 ( ( mem @ V1x @ A_27a )
% 5.44/5.71 => ! [V2y: $i] :
% 5.44/5.71 ( ( mem @ V2y @ A_27a )
% 5.44/5.71 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ETC @ A_27a ) @ V0R ) @ V1x ) @ V2y ) )
% 5.44/5.71 <=> ? [V3n: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Earithmetic_2ENRC @ A_27a ) @ V0R ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) @ V1x ) @ V2y ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Earithmetic_2ELESS__EQUAL__DIFF,axiom,
% 5.44/5.71 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.71 => ? [V2k: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( V0m
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V2k ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Earithmetic_2EMOD__2,axiom,
% 5.44/5.71 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ c_2Earithmetic_2EEVEN @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Earithmetic_2EEVEN__MOD2,axiom,
% 5.44/5.71 ! [V0x: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( p @ ( ap @ c_2Earithmetic_2EEVEN @ ( inj__ty_2Enum_2Enum @ V0x ) ) )
% 5.44/5.71 <=> ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.44/5.71 = fo__c_2Enum_2E0 ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Earithmetic_2ESUC__MOD,axiom,
% 5.44/5.71 ! [V0n: tp__ty_2Enum_2Enum,V1a: tp__ty_2Enum_2Enum,V2b: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.71 => ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1a ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V2b ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) )
% 5.44/5.71 <=> ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V1a ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V2b ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Earithmetic_2EADD__MOD,axiom,
% 5.44/5.71 ! [V0n: tp__ty_2Enum_2Enum,V1a: tp__ty_2Enum_2Enum,V2b: tp__ty_2Enum_2Enum,V3p: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.71 => ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1a ) ) @ ( inj__ty_2Enum_2Enum @ V3p ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V2b ) ) @ ( inj__ty_2Enum_2Enum @ V3p ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) )
% 5.44/5.71 <=> ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V1a ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V2b ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Earithmetic_2EMOD__ELIM,axiom,
% 5.44/5.71 ! [V0P: $i] :
% 5.44/5.71 ( ( mem @ V0P @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.44/5.71 => ! [V1x: tp__ty_2Enum_2Enum,V2n: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) )
% 5.44/5.71 & ( p @ ( ap @ V0P @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.44/5.71 & ! [V3y: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( p @ ( ap @ V0P @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V3y ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) )
% 5.44/5.71 => ( p @ ( ap @ V0P @ ( inj__ty_2Enum_2Enum @ V3y ) ) ) ) )
% 5.44/5.71 => ( p @ ( ap @ V0P @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Earithmetic_2EDOUBLE__LT,axiom,
% 5.44/5.71 ! [V0p: tp__ty_2Enum_2Enum,V1q: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0p ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1q ) ) ) )
% 5.44/5.71 <=> ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0p ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1q ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Earithmetic_2EEXP2__LT,axiom,
% 5.44/5.71 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) )
% 5.44/5.71 <=> ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Earithmetic_2ESUB__LESS,axiom,
% 5.44/5.71 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.71 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) )
% 5.44/5.71 => ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Earithmetic_2ESUB__MOD,axiom,
% 5.44/5.71 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.71 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) )
% 5.44/5.71 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Earithmetic_2EONE__LT__MULT__IMP,axiom,
% 5.44/5.71 ! [V0p: tp__ty_2Enum_2Enum,V1q: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0p ) ) )
% 5.44/5.71 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V1q ) ) ) )
% 5.44/5.71 => ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V0p ) ) @ ( inj__ty_2Enum_2Enum @ V1q ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Earithmetic_2EONE__LT__MULT,axiom,
% 5.44/5.71 ! [V0x: tp__ty_2Enum_2Enum,V1y: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( inj__ty_2Enum_2Enum @ V1y ) ) ) )
% 5.44/5.71 <=> ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0x ) ) )
% 5.44/5.71 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1y ) ) ) )
% 5.44/5.71 | ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V1y ) ) )
% 5.44/5.71 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0x ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Earithmetic_2EONE__LT__EXP,axiom,
% 5.44/5.71 ! [V0x: tp__ty_2Enum_2Enum,V1y: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( inj__ty_2Enum_2Enum @ V1y ) ) ) )
% 5.44/5.71 <=> ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0x ) ) )
% 5.44/5.71 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V1y ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(ax_thm_2Earithmetic_2Efindq__def,axiom,
% 5.44/5.71 ( c_2Earithmetic_2Efindq
% 5.44/5.71 = ( ap
% 5.44/5.71 @ ( ap @ ( c_2Erelation_2EWFREC @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) @ ty_2Enum_2Enum )
% 5.44/5.71 @ ( ap @ ( c_2Eprim__rec_2Emeasure @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) )
% 5.44/5.71 @ ( ap @ ( c_2Epair_2EUNCURRY @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ty_2Enum_2Enum )
% 5.44/5.71 @ ( lam @ ty_2Enum_2Enum
% 5.44/5.71 @ ^ [V0a: $i] :
% 5.44/5.71 ( ap @ ( c_2Epair_2EUNCURRY @ ty_2Enum_2Enum @ ty_2Enum_2Enum @ ty_2Enum_2Enum )
% 5.44/5.71 @ ( lam @ ty_2Enum_2Enum
% 5.44/5.71 @ ^ [V1m: $i] :
% 5.44/5.71 ( lam @ ty_2Enum_2Enum
% 5.44/5.71 @ ^ [V2n: $i] : ( ap @ ( ap @ c_2Earithmetic_2E_2D @ V1m ) @ V2n ) ) ) ) ) ) ) )
% 5.44/5.71 @ ( lam @ ( arr @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) @ ty_2Enum_2Enum )
% 5.44/5.71 @ ^ [V3f: $i] :
% 5.44/5.71 ( ap @ ( c_2Epair_2EUNCURRY @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ty_2Enum_2Enum )
% 5.44/5.71 @ ( lam @ ty_2Enum_2Enum
% 5.44/5.71 @ ^ [V4a: $i] :
% 5.44/5.71 ( ap @ ( c_2Epair_2EUNCURRY @ ty_2Enum_2Enum @ ty_2Enum_2Enum @ ty_2Enum_2Enum )
% 5.44/5.71 @ ( lam @ ty_2Enum_2Enum
% 5.44/5.71 @ ^ [V5m: $i] :
% 5.44/5.71 ( lam @ ty_2Enum_2Enum
% 5.44/5.71 @ ^ [V6n: $i] :
% 5.44/5.71 ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ V6n ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) @ V4a )
% 5.44/5.71 @ ( ap
% 5.44/5.71 @ ( ap @ ( c_2Ebool_2ELET @ ty_2Enum_2Enum @ ty_2Enum_2Enum )
% 5.44/5.71 @ ( lam @ ty_2Enum_2Enum
% 5.44/5.71 @ ^ [V7d: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ V5m ) @ V7d ) ) @ V4a ) @ ( ap @ V3f @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ V4a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ V5m ) @ V7d ) ) ) ) ) )
% 5.44/5.71 @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ V6n ) ) ) ) ) ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Earithmetic_2Efindq__thm,axiom,
% 5.44/5.71 ! [V0a: tp__ty_2Enum_2Enum,V1m: tp__ty_2Enum_2Enum,V2n: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2Efindq @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum
% 5.44/5.71 @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) @ ( inj__ty_2Enum_2Enum @ V0a ) )
% 5.44/5.71 @ ( ap
% 5.44/5.71 @ ( ap @ ( c_2Ebool_2ELET @ ty_2Enum_2Enum @ ty_2Enum_2Enum )
% 5.44/5.71 @ ( lam @ ty_2Enum_2Enum
% 5.44/5.71 @ ^ [V3d: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ V3d ) ) @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( ap @ c_2Earithmetic_2Efindq @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0a ) ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ V3d ) ) ) ) ) )
% 5.44/5.71 @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Earithmetic_2Efindq__eq__0,axiom,
% 5.44/5.71 ! [V0a: tp__ty_2Enum_2Enum,V1m: tp__ty_2Enum_2Enum,V2n: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2Efindq @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) )
% 5.44/5.71 = fo__c_2Enum_2E0 )
% 5.44/5.71 <=> ( V0a = fo__c_2Enum_2E0 ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Earithmetic_2Efindq__divisor,axiom,
% 5.44/5.71 ! [V0n: tp__ty_2Enum_2Enum,V1m: tp__ty_2Enum_2Enum,V2a: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) )
% 5.44/5.71 => ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ c_2Earithmetic_2Efindq @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) @ ( inj__ty_2Enum_2Enum @ V2a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V2a ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(ax_thm_2Earithmetic_2EDIVMOD__DEF,axiom,
% 5.44/5.71 ( c_2Earithmetic_2EDIVMOD
% 5.44/5.71 = ( ap @ ( ap @ ( c_2Erelation_2EWFREC @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) @ ( ap @ ( c_2Eprim__rec_2Emeasure @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) @ ( c_2Epair_2EFST @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) @ ( c_2Epair_2ESND @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) ) ) )
% 5.44/5.71 @ ( lam @ ( arr @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.44/5.71 @ ^ [V0f: $i] :
% 5.44/5.71 ( ap @ ( c_2Epair_2EUNCURRY @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.44/5.71 @ ( lam @ ty_2Enum_2Enum
% 5.44/5.71 @ ^ [V1a: $i] :
% 5.44/5.71 ( ap @ ( c_2Epair_2EUNCURRY @ ty_2Enum_2Enum @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.44/5.71 @ ( lam @ ty_2Enum_2Enum
% 5.44/5.71 @ ^ [V2m: $i] :
% 5.44/5.71 ( lam @ ty_2Enum_2Enum
% 5.44/5.71 @ ^ [V3n: $i] :
% 5.44/5.71 ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ V3n ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.44/5.71 @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ V2m ) @ V3n ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ V1a ) @ V2m ) )
% 5.44/5.71 @ ( ap
% 5.44/5.71 @ ( ap @ ( c_2Ebool_2ELET @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.44/5.71 @ ( lam @ ty_2Enum_2Enum
% 5.44/5.71 @ ^ [V4q: $i] : ( ap @ V0f @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ V1a ) @ V4q ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ V2m ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ V3n ) @ V4q ) ) ) @ V3n ) ) ) ) )
% 5.44/5.71 @ ( ap @ c_2Earithmetic_2Efindq @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ V2m ) @ V3n ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Earithmetic_2EDIVMOD__THM,axiom,
% 5.44/5.71 ! [V0a: tp__ty_2Enum_2Enum,V1m: tp__ty_2Enum_2Enum,V2n: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( surj__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2EDIVMOD @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) )
% 5.44/5.71 = ( surj__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum
% 5.44/5.71 @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.44/5.71 @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) )
% 5.44/5.71 @ ( ap
% 5.44/5.71 @ ( ap @ ( c_2Ebool_2ELET @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.44/5.71 @ ( lam @ ty_2Enum_2Enum
% 5.44/5.71 @ ^ [V3q: $i] : ( ap @ c_2Earithmetic_2EDIVMOD @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ V3q ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ V3q ) ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) ) )
% 5.44/5.71 @ ( ap @ c_2Earithmetic_2Efindq @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Earithmetic_2EMOD__SUB,axiom,
% 5.44/5.71 ! [V0n: tp__ty_2Enum_2Enum,V1q: tp__ty_2Enum_2Enum,V2m: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.71 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1q ) ) ) @ ( inj__ty_2Enum_2Enum @ V2m ) ) ) )
% 5.44/5.71 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V2m ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1q ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V2m ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Earithmetic_2EDIV__SUB,axiom,
% 5.44/5.71 ! [V0n: tp__ty_2Enum_2Enum,V1q: tp__ty_2Enum_2Enum,V2m: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.71 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1q ) ) ) @ ( inj__ty_2Enum_2Enum @ V2m ) ) ) )
% 5.44/5.71 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V2m ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1q ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( inj__ty_2Enum_2Enum @ V2m ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( inj__ty_2Enum_2Enum @ V1q ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Earithmetic_2EDIVMOD__CORRECT,axiom,
% 5.44/5.71 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum,V2a: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.71 => ( ( surj__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2EDIVMOD @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) @ ( inj__ty_2Enum_2Enum @ V2a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) )
% 5.44/5.71 = ( surj__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V2a ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Earithmetic_2EDIVMOD__CALC,axiom,
% 5.44/5.71 ( ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.71 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Epair_2EFST @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( ap @ c_2Earithmetic_2EDIVMOD @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ) ) ) )
% 5.44/5.71 & ! [V2m: tp__ty_2Enum_2Enum,V3n: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V3n ) ) )
% 5.44/5.71 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V2m ) ) @ ( inj__ty_2Enum_2Enum @ V3n ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Epair_2ESND @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( ap @ c_2Earithmetic_2EDIVMOD @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V2m ) ) @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(ax_thm_2Earithmetic_2EMODEQ__DEF,axiom,
% 5.44/5.71 ! [V0n: tp__ty_2Enum_2Enum,V1m1: tp__ty_2Enum_2Enum,V2m2: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( p @ ( ap @ ( ap @ ( ap @ c_2Earithmetic_2EMODEQ @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1m1 ) ) @ ( inj__ty_2Enum_2Enum @ V2m2 ) ) )
% 5.44/5.71 <=> ? [V3a: tp__ty_2Enum_2Enum,V4b: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V3a ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( inj__ty_2Enum_2Enum @ V1m1 ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V4b ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( inj__ty_2Enum_2Enum @ V2m2 ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Earithmetic_2EMODEQ__0__CONG,axiom,
% 5.44/5.71 ! [V0m1: tp__ty_2Enum_2Enum,V1m2: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( p @ ( ap @ ( ap @ ( ap @ c_2Earithmetic_2EMODEQ @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0m1 ) ) @ ( inj__ty_2Enum_2Enum @ V1m2 ) ) )
% 5.44/5.71 <=> ( V0m1 = V1m2 ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Earithmetic_2EMODEQ__NONZERO__MODEQUALITY,axiom,
% 5.44/5.71 ! [V0n: tp__ty_2Enum_2Enum,V1m1: tp__ty_2Enum_2Enum,V2m2: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.71 => ( ( p @ ( ap @ ( ap @ ( ap @ c_2Earithmetic_2EMODEQ @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1m1 ) ) @ ( inj__ty_2Enum_2Enum @ V2m2 ) ) )
% 5.44/5.71 <=> ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V1m1 ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V2m2 ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Earithmetic_2EMODEQ__THM,axiom,
% 5.44/5.71 ! [V0n: tp__ty_2Enum_2Enum,V1m1: tp__ty_2Enum_2Enum,V2m2: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( p @ ( ap @ ( ap @ ( ap @ c_2Earithmetic_2EMODEQ @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1m1 ) ) @ ( inj__ty_2Enum_2Enum @ V2m2 ) ) )
% 5.44/5.71 <=> ( ( ( V0n = fo__c_2Enum_2E0 )
% 5.44/5.71 & ( V1m1 = V2m2 ) )
% 5.44/5.71 | ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.71 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V1m1 ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V2m2 ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Earithmetic_2EMODEQ__INTRO__CONG,axiom,
% 5.44/5.71 ! [V0n: tp__ty_2Enum_2Enum,V1e0: tp__ty_2Enum_2Enum,V2e1: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.71 => ( ( p @ ( ap @ ( ap @ ( ap @ c_2Earithmetic_2EMODEQ @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1e0 ) ) @ ( inj__ty_2Enum_2Enum @ V2e1 ) ) )
% 5.44/5.71 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V1e0 ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V2e1 ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Earithmetic_2EMODEQ__PLUS__CONG,axiom,
% 5.44/5.71 ! [V0n: tp__ty_2Enum_2Enum,V1x0: tp__ty_2Enum_2Enum,V2x1: tp__ty_2Enum_2Enum,V3y0: tp__ty_2Enum_2Enum,V4y1: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( p @ ( ap @ ( ap @ ( ap @ c_2Earithmetic_2EMODEQ @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1x0 ) ) @ ( inj__ty_2Enum_2Enum @ V2x1 ) ) )
% 5.44/5.71 => ( ( p @ ( ap @ ( ap @ ( ap @ c_2Earithmetic_2EMODEQ @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V3y0 ) ) @ ( inj__ty_2Enum_2Enum @ V4y1 ) ) )
% 5.44/5.71 => ( p @ ( ap @ ( ap @ ( ap @ c_2Earithmetic_2EMODEQ @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x0 ) ) @ ( inj__ty_2Enum_2Enum @ V3y0 ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V2x1 ) ) @ ( inj__ty_2Enum_2Enum @ V4y1 ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Earithmetic_2EMODEQ__MULT__CONG,axiom,
% 5.44/5.71 ! [V0n: tp__ty_2Enum_2Enum,V1x0: tp__ty_2Enum_2Enum,V2x1: tp__ty_2Enum_2Enum,V3y0: tp__ty_2Enum_2Enum,V4y1: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( p @ ( ap @ ( ap @ ( ap @ c_2Earithmetic_2EMODEQ @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1x0 ) ) @ ( inj__ty_2Enum_2Enum @ V2x1 ) ) )
% 5.44/5.71 => ( ( p @ ( ap @ ( ap @ ( ap @ c_2Earithmetic_2EMODEQ @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V3y0 ) ) @ ( inj__ty_2Enum_2Enum @ V4y1 ) ) )
% 5.44/5.71 => ( p @ ( ap @ ( ap @ ( ap @ c_2Earithmetic_2EMODEQ @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V1x0 ) ) @ ( inj__ty_2Enum_2Enum @ V3y0 ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V2x1 ) ) @ ( inj__ty_2Enum_2Enum @ V4y1 ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Earithmetic_2EMODEQ__REFL,axiom,
% 5.44/5.71 ! [V0n: tp__ty_2Enum_2Enum,V1x: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ ( ap @ c_2Earithmetic_2EMODEQ @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Earithmetic_2EMODEQ__SUC__CONG,axiom,
% 5.44/5.71 ! [V0n: tp__ty_2Enum_2Enum,V1x: tp__ty_2Enum_2Enum,V2y: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( p @ ( ap @ ( ap @ ( ap @ c_2Earithmetic_2EMODEQ @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( inj__ty_2Enum_2Enum @ V2y ) ) )
% 5.44/5.71 => ( p @ ( ap @ ( ap @ ( ap @ c_2Earithmetic_2EMODEQ @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V2y ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Earithmetic_2EMODEQ__EXP__CONG,axiom,
% 5.44/5.71 ! [V0n: tp__ty_2Enum_2Enum,V1x: tp__ty_2Enum_2Enum,V2y: tp__ty_2Enum_2Enum,V3e: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( p @ ( ap @ ( ap @ ( ap @ c_2Earithmetic_2EMODEQ @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( inj__ty_2Enum_2Enum @ V2y ) ) )
% 5.44/5.71 => ( p @ ( ap @ ( ap @ ( ap @ c_2Earithmetic_2EMODEQ @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( inj__ty_2Enum_2Enum @ V3e ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( inj__ty_2Enum_2Enum @ V2y ) ) @ ( inj__ty_2Enum_2Enum @ V3e ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Earithmetic_2EEXP__MOD,axiom,
% 5.44/5.71 ! [V0n: tp__ty_2Enum_2Enum,V1x: tp__ty_2Enum_2Enum,V2e: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.71 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( inj__ty_2Enum_2Enum @ V2e ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( inj__ty_2Enum_2Enum @ V2e ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Earithmetic_2EMODEQ__SYM,axiom,
% 5.44/5.71 ! [V0n: tp__ty_2Enum_2Enum,V1x: tp__ty_2Enum_2Enum,V2y: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( p @ ( ap @ ( ap @ ( ap @ c_2Earithmetic_2EMODEQ @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( inj__ty_2Enum_2Enum @ V2y ) ) )
% 5.44/5.71 <=> ( p @ ( ap @ ( ap @ ( ap @ c_2Earithmetic_2EMODEQ @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V2y ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Earithmetic_2EMODEQ__TRANS,axiom,
% 5.44/5.71 ! [V0n: tp__ty_2Enum_2Enum,V1x: tp__ty_2Enum_2Enum,V2y: tp__ty_2Enum_2Enum,V3z: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( ( p @ ( ap @ ( ap @ ( ap @ c_2Earithmetic_2EMODEQ @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( inj__ty_2Enum_2Enum @ V2y ) ) )
% 5.44/5.71 & ( p @ ( ap @ ( ap @ ( ap @ c_2Earithmetic_2EMODEQ @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V2y ) ) @ ( inj__ty_2Enum_2Enum @ V3z ) ) ) )
% 5.44/5.71 => ( p @ ( ap @ ( ap @ ( ap @ c_2Earithmetic_2EMODEQ @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( inj__ty_2Enum_2Enum @ V3z ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Earithmetic_2EMODEQ__NUMERAL,axiom,
% 5.44/5.71 ! [V0n: tp__ty_2Enum_2Enum,V1m: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) )
% 5.44/5.71 => ( p @ ( ap @ ( ap @ ( ap @ c_2Earithmetic_2EMODEQ @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) ) )
% 5.44/5.71 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) )
% 5.44/5.71 => ( p @ ( ap @ ( ap @ ( ap @ c_2Earithmetic_2EMODEQ @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) ) )
% 5.44/5.71 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) )
% 5.44/5.71 => ( p @ ( ap @ ( ap @ ( ap @ c_2Earithmetic_2EMODEQ @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) ) )
% 5.44/5.71 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) )
% 5.44/5.71 => ( p @ ( ap @ ( ap @ ( ap @ c_2Earithmetic_2EMODEQ @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Earithmetic_2EMODEQ__MOD,axiom,
% 5.44/5.71 ! [V0n: tp__ty_2Enum_2Enum,V1x: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.71 => ( p @ ( ap @ ( ap @ ( ap @ c_2Earithmetic_2EMODEQ @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Earithmetic_2EMODEQ__0,axiom,
% 5.44/5.71 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.71 => ( p @ ( ap @ ( ap @ ( ap @ c_2Earithmetic_2EMODEQ @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Earithmetic_2Enum__case__eq,axiom,
% 5.44/5.71 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1zc: $i] :
% 5.44/5.71 ( ( mem @ V1zc @ A_27a )
% 5.44/5.71 => ! [V2sc: $i] :
% 5.44/5.71 ( ( mem @ V2sc @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.44/5.71 => ! [V3v: $i] :
% 5.44/5.71 ( ( mem @ V3v @ A_27a )
% 5.44/5.71 => ( ( ( ap @ ( ap @ ( ap @ ( c_2Earithmetic_2Enum__CASE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1zc ) @ V2sc )
% 5.44/5.71 = V3v )
% 5.44/5.71 <=> ( ( ( V0n = fo__c_2Enum_2E0 )
% 5.44/5.71 & ( V1zc = V3v ) )
% 5.44/5.71 | ? [V4x: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( V0n
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V4x ) ) ) )
% 5.44/5.71 & ( ( ap @ V2sc @ ( inj__ty_2Enum_2Enum @ V4x ) )
% 5.44/5.71 = V3v ) ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Earithmetic_2Edatatype__num,axiom,
% 5.44/5.71 ! [A_27a: del,V0num: $i] :
% 5.44/5.71 ( ( mem @ V0num @ ( arr @ ty_2Enum_2Enum @ ( arr @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ A_27a ) ) )
% 5.44/5.71 => ( p @ ( ap @ ( c_2Ebool_2EDATATYPE @ A_27a ) @ ( ap @ ( ap @ V0num @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ c_2Enum_2ESUC ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 %------------------------------------------------------------------------------
% 5.44/5.71 %------------------------------------------------------------------------------
% 5.44/5.71 thf(tp_c_2Ewhile_2EHOARE__SPEC,type,
% 5.44/5.71 c_2Ewhile_2EHOARE__SPEC: del > del > $i ).
% 5.44/5.71
% 5.44/5.71 thf(mem_c_2Ewhile_2EHOARE__SPEC,axiom,
% 5.44/5.71 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Ewhile_2EHOARE__SPEC @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( arr @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27b @ bool ) @ bool ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(tp_c_2Ewhile_2ELEAST,type,
% 5.44/5.71 c_2Ewhile_2ELEAST: $i ).
% 5.44/5.71
% 5.44/5.71 thf(mem_c_2Ewhile_2ELEAST,axiom,
% 5.44/5.71 mem @ c_2Ewhile_2ELEAST @ ( arr @ ( arr @ ty_2Enum_2Enum @ bool ) @ ty_2Enum_2Enum ) ).
% 5.44/5.71
% 5.44/5.71 thf(stp_c_ty_2Eoption_2Eoption_ty_2Enum_2Enum,type,
% 5.44/5.71 tp__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum: $tType ).
% 5.44/5.71
% 5.44/5.71 thf(stp_inj_c_ty_2Eoption_2Eoption_ty_2Enum_2Enum,type,
% 5.44/5.71 inj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum: tp__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum > $i ).
% 5.44/5.71
% 5.44/5.71 thf(stp_surj_c_ty_2Eoption_2Eoption_ty_2Enum_2Enum,type,
% 5.44/5.71 surj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum: $i > tp__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum ).
% 5.44/5.71
% 5.44/5.71 thf(stp_inj_surj_c_ty_2Eoption_2Eoption_ty_2Enum_2Enum,axiom,
% 5.44/5.71 ! [X: tp__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum] :
% 5.44/5.71 ( ( surj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ ( inj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ X ) )
% 5.44/5.71 = X ) ).
% 5.44/5.71
% 5.44/5.71 thf(stp_inj_mem_c_ty_2Eoption_2Eoption_ty_2Enum_2Enum,axiom,
% 5.44/5.71 ! [X: tp__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum] : ( mem @ ( inj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ X ) @ ( ty_2Eoption_2Eoption @ ty_2Enum_2Enum ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(stp_iso_mem_c_ty_2Eoption_2Eoption_ty_2Enum_2Enum,axiom,
% 5.44/5.71 ! [X: $i] :
% 5.44/5.71 ( ( mem @ X @ ( ty_2Eoption_2Eoption @ ty_2Enum_2Enum ) )
% 5.44/5.71 => ( X
% 5.44/5.71 = ( inj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ ( surj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ X ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(tp_c_2Ewhile_2EOLEAST,type,
% 5.44/5.71 c_2Ewhile_2EOLEAST: $i ).
% 5.44/5.71
% 5.44/5.71 thf(mem_c_2Ewhile_2EOLEAST,axiom,
% 5.44/5.71 mem @ c_2Ewhile_2EOLEAST @ ( arr @ ( arr @ ty_2Enum_2Enum @ bool ) @ ( ty_2Eoption_2Eoption @ ty_2Enum_2Enum ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(tp_c_2Ewhile_2EOWHILE,type,
% 5.44/5.71 c_2Ewhile_2EOWHILE: del > $i ).
% 5.44/5.71
% 5.44/5.71 thf(mem_c_2Ewhile_2EOWHILE,axiom,
% 5.44/5.71 ! [A_27a: del] : ( mem @ ( c_2Ewhile_2EOWHILE @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( arr @ A_27a @ A_27a ) @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27a ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(tp_c_2Ewhile_2EWHILE,type,
% 5.44/5.71 c_2Ewhile_2EWHILE: del > $i ).
% 5.44/5.71
% 5.44/5.71 thf(mem_c_2Ewhile_2EWHILE,axiom,
% 5.44/5.71 ! [A_27a: del] : ( mem @ ( c_2Ewhile_2EWHILE @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( arr @ A_27a @ A_27a ) @ ( arr @ A_27a @ A_27a ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Ewhile_2EITERATION,axiom,
% 5.44/5.71 ! [A_27a: del,V0P: $i] :
% 5.44/5.71 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.44/5.71 => ! [V1g: $i] :
% 5.44/5.71 ( ( mem @ V1g @ ( arr @ A_27a @ A_27a ) )
% 5.44/5.71 => ? [V2f: $i] :
% 5.44/5.71 ( ( mem @ V2f @ ( arr @ A_27a @ A_27a ) )
% 5.44/5.71 & ! [V3x: $i] :
% 5.44/5.71 ( ( mem @ V3x @ A_27a )
% 5.44/5.71 => ( ( ap @ V2f @ V3x )
% 5.44/5.71 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ A_27a ) @ ( ap @ V0P @ V3x ) ) @ V3x ) @ ( ap @ V2f @ ( ap @ V1g @ V3x ) ) ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(ax_thm_2Ewhile_2EWHILE,axiom,
% 5.44/5.71 ! [A_27a: del,V0P: $i] :
% 5.44/5.71 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.44/5.71 => ! [V1g: $i] :
% 5.44/5.71 ( ( mem @ V1g @ ( arr @ A_27a @ A_27a ) )
% 5.44/5.71 => ! [V2x: $i] :
% 5.44/5.71 ( ( mem @ V2x @ A_27a )
% 5.44/5.71 => ( ( ap @ ( ap @ ( ap @ ( c_2Ewhile_2EWHILE @ A_27a ) @ V0P ) @ V1g ) @ V2x )
% 5.44/5.71 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ A_27a ) @ ( ap @ V0P @ V2x ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ewhile_2EWHILE @ A_27a ) @ V0P ) @ V1g ) @ ( ap @ V1g @ V2x ) ) ) @ V2x ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Ewhile_2EWHILE__INDUCTION,axiom,
% 5.44/5.71 ! [A_27a: del,V0B: $i] :
% 5.44/5.71 ( ( mem @ V0B @ ( arr @ A_27a @ bool ) )
% 5.44/5.71 => ! [V1C: $i] :
% 5.44/5.71 ( ( mem @ V1C @ ( arr @ A_27a @ A_27a ) )
% 5.44/5.71 => ! [V2R: $i] :
% 5.44/5.71 ( ( mem @ V2R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.71 => ( ( ( p @ ( ap @ ( c_2Erelation_2EWF @ A_27a ) @ V2R ) )
% 5.44/5.71 & ! [V3s: $i] :
% 5.44/5.71 ( ( mem @ V3s @ A_27a )
% 5.44/5.71 => ( ( p @ ( ap @ V0B @ V3s ) )
% 5.44/5.71 => ( p @ ( ap @ ( ap @ V2R @ ( ap @ V1C @ V3s ) ) @ V3s ) ) ) ) )
% 5.44/5.71 => ! [V4P: $i] :
% 5.44/5.71 ( ( mem @ V4P @ ( arr @ A_27a @ bool ) )
% 5.44/5.71 => ( ! [V5s: $i] :
% 5.44/5.71 ( ( mem @ V5s @ A_27a )
% 5.44/5.71 => ( ( ( p @ ( ap @ V0B @ V5s ) )
% 5.44/5.71 => ( p @ ( ap @ V4P @ ( ap @ V1C @ V5s ) ) ) )
% 5.44/5.71 => ( p @ ( ap @ V4P @ V5s ) ) ) )
% 5.44/5.71 => ! [V6v: $i] :
% 5.44/5.71 ( ( mem @ V6v @ A_27a )
% 5.44/5.71 => ( p @ ( ap @ V4P @ V6v ) ) ) ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(ax_thm_2Ewhile_2EHOARE__SPEC__DEF,axiom,
% 5.44/5.71 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.44/5.71 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.44/5.71 => ! [V1C: $i] :
% 5.44/5.71 ( ( mem @ V1C @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.71 => ! [V2Q: $i] :
% 5.44/5.71 ( ( mem @ V2Q @ ( arr @ A_27b @ bool ) )
% 5.44/5.71 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Ewhile_2EHOARE__SPEC @ A_27a @ A_27b ) @ V0P ) @ V1C ) @ V2Q ) )
% 5.44/5.71 <=> ! [V3s: $i] :
% 5.44/5.71 ( ( mem @ V3s @ A_27a )
% 5.44/5.71 => ( ( p @ ( ap @ V0P @ V3s ) )
% 5.44/5.71 => ( p @ ( ap @ V2Q @ ( ap @ V1C @ V3s ) ) ) ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Ewhile_2EWHILE__RULE,axiom,
% 5.44/5.71 ! [A_27a: del,V0P: $i] :
% 5.44/5.71 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.44/5.71 => ! [V1R: $i] :
% 5.44/5.71 ( ( mem @ V1R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.71 => ! [V2B: $i] :
% 5.44/5.71 ( ( mem @ V2B @ ( arr @ A_27a @ bool ) )
% 5.44/5.71 => ! [V3C: $i] :
% 5.44/5.71 ( ( mem @ V3C @ ( arr @ A_27a @ A_27a ) )
% 5.44/5.71 => ( ( ( p @ ( ap @ ( c_2Erelation_2EWF @ A_27a ) @ V1R ) )
% 5.44/5.71 & ! [V4s: $i] :
% 5.44/5.71 ( ( mem @ V4s @ A_27a )
% 5.44/5.71 => ( ( p @ ( ap @ V2B @ V4s ) )
% 5.44/5.71 => ( p @ ( ap @ ( ap @ V1R @ ( ap @ V3C @ V4s ) ) @ V4s ) ) ) ) )
% 5.44/5.71 => ( ( p
% 5.44/5.71 @ ( ap
% 5.44/5.71 @ ( ap
% 5.44/5.71 @ ( ap @ ( c_2Ewhile_2EHOARE__SPEC @ A_27a @ A_27a )
% 5.44/5.71 @ ( lam @ A_27a
% 5.44/5.71 @ ^ [V5s: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0P @ V5s ) ) @ ( ap @ V2B @ V5s ) ) ) )
% 5.44/5.71 @ V3C )
% 5.44/5.71 @ V0P ) )
% 5.44/5.71 => ( p
% 5.44/5.71 @ ( ap @ ( ap @ ( ap @ ( c_2Ewhile_2EHOARE__SPEC @ A_27a @ A_27a ) @ V0P ) @ ( ap @ ( ap @ ( c_2Ewhile_2EWHILE @ A_27a ) @ V2B ) @ V3C ) )
% 5.44/5.71 @ ( lam @ A_27a
% 5.44/5.71 @ ^ [V6s: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0P @ V6s ) ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V2B @ V6s ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(ax_thm_2Ewhile_2ELEAST__DEF,axiom,
% 5.44/5.71 ! [V0P: $i] :
% 5.44/5.71 ( ( mem @ V0P @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.44/5.71 => ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Ewhile_2ELEAST @ V0P ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ ( c_2Ewhile_2EWHILE @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ty_2Enum_2Enum @ bool @ bool ) @ c_2Ebool_2E_7E ) @ V0P ) ) @ c_2Enum_2ESUC ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Ewhile_2ELEAST__INTRO,axiom,
% 5.44/5.71 ! [V0P: $i] :
% 5.44/5.71 ( ( mem @ V0P @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.44/5.71 => ! [V1x: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( p @ ( ap @ V0P @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.44/5.71 => ( p @ ( ap @ V0P @ ( ap @ c_2Ewhile_2ELEAST @ V0P ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Ewhile_2ELESS__LEAST,axiom,
% 5.44/5.71 ! [V0P: $i] :
% 5.44/5.71 ( ( mem @ V0P @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.44/5.71 => ! [V1m: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( ap @ c_2Ewhile_2ELEAST @ V0P ) ) )
% 5.44/5.71 => ~ ( p @ ( ap @ V0P @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Ewhile_2EFULL__LEAST__INTRO,axiom,
% 5.44/5.71 ! [V0P: $i] :
% 5.44/5.71 ( ( mem @ V0P @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.44/5.71 => ! [V1x: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( p @ ( ap @ V0P @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.44/5.71 => ( ( p @ ( ap @ V0P @ ( ap @ c_2Ewhile_2ELEAST @ V0P ) ) )
% 5.44/5.71 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Ewhile_2ELEAST @ V0P ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Ewhile_2ELEAST__ELIM,axiom,
% 5.44/5.71 ! [V0Q: $i] :
% 5.44/5.71 ( ( mem @ V0Q @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.44/5.71 => ! [V1P: $i] :
% 5.44/5.71 ( ( mem @ V1P @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.44/5.71 => ( ( ? [V2n: tp__ty_2Enum_2Enum] : ( p @ ( ap @ V1P @ ( inj__ty_2Enum_2Enum @ V2n ) ) )
% 5.44/5.71 & ! [V3n: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( ! [V4m: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V4m ) ) @ ( inj__ty_2Enum_2Enum @ V3n ) ) )
% 5.44/5.71 => ~ ( p @ ( ap @ V1P @ ( inj__ty_2Enum_2Enum @ V4m ) ) ) )
% 5.44/5.71 & ( p @ ( ap @ V1P @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) )
% 5.44/5.71 => ( p @ ( ap @ V0Q @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) ) )
% 5.44/5.71 => ( p @ ( ap @ V0Q @ ( ap @ c_2Ewhile_2ELEAST @ V1P ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Ewhile_2ELEAST__EXISTS,axiom,
% 5.44/5.71 ! [V0p: $i] :
% 5.44/5.71 ( ( mem @ V0p @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.44/5.71 => ( ? [V1n: tp__ty_2Enum_2Enum] : ( p @ ( ap @ V0p @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.71 <=> ( ( p @ ( ap @ V0p @ ( ap @ c_2Ewhile_2ELEAST @ V0p ) ) )
% 5.44/5.71 & ! [V2n: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( ap @ c_2Ewhile_2ELEAST @ V0p ) ) )
% 5.44/5.71 => ~ ( p @ ( ap @ V0p @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Ewhile_2ELEAST__EXISTS__IMP,axiom,
% 5.44/5.71 ! [V0p: $i] :
% 5.44/5.71 ( ( mem @ V0p @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.44/5.71 => ( ? [V1n: tp__ty_2Enum_2Enum] : ( p @ ( ap @ V0p @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.71 => ( ( p @ ( ap @ V0p @ ( ap @ c_2Ewhile_2ELEAST @ V0p ) ) )
% 5.44/5.71 & ! [V2n: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( ap @ c_2Ewhile_2ELEAST @ V0p ) ) )
% 5.44/5.71 => ~ ( p @ ( ap @ V0p @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Ewhile_2ELEAST__EQ,axiom,
% 5.44/5.71 ! [V0x: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( ( surj__ty_2Enum_2Enum
% 5.44/5.71 @ ( ap @ c_2Ewhile_2ELEAST
% 5.44/5.71 @ ( lam @ ty_2Enum_2Enum
% 5.44/5.71 @ ^ [V1n: $i] : ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ V1n ) @ ( inj__ty_2Enum_2Enum @ V0x ) ) ) ) )
% 5.44/5.71 = V0x )
% 5.44/5.71 & ( ( surj__ty_2Enum_2Enum
% 5.44/5.71 @ ( ap @ c_2Ewhile_2ELEAST
% 5.44/5.71 @ ( lam @ ty_2Enum_2Enum
% 5.44/5.71 @ ^ [V2n: $i] : ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ V2n ) ) ) )
% 5.44/5.71 = V0x ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Ewhile_2ELEAST__T,axiom,
% 5.44/5.71 ( ( surj__ty_2Enum_2Enum
% 5.44/5.71 @ ( ap @ c_2Ewhile_2ELEAST
% 5.44/5.71 @ ( lam @ ty_2Enum_2Enum
% 5.44/5.71 @ ^ [V0x: $i] : c_2Ebool_2ET ) ) )
% 5.44/5.71 = fo__c_2Enum_2E0 ) ).
% 5.44/5.71
% 5.44/5.71 thf(ax_thm_2Ewhile_2EOLEAST__def,axiom,
% 5.44/5.71 ! [V0P: $i] :
% 5.44/5.71 ( ( mem @ V0P @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.44/5.71 => ( ( surj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ ( ap @ c_2Ewhile_2EOLEAST @ V0P ) )
% 5.44/5.71 = ( surj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum
% 5.44/5.71 @ ( ap
% 5.44/5.71 @ ( ap
% 5.44/5.71 @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Eoption_2Eoption @ ty_2Enum_2Enum ) )
% 5.44/5.71 @ ( ap @ ( c_2Ebool_2E_3F @ ty_2Enum_2Enum )
% 5.44/5.71 @ ( lam @ ty_2Enum_2Enum
% 5.44/5.71 @ ^ [V1n: $i] : ( ap @ V0P @ V1n ) ) ) )
% 5.44/5.71 @ ( ap @ ( c_2Eoption_2ESOME @ ty_2Enum_2Enum )
% 5.44/5.71 @ ( ap @ c_2Ewhile_2ELEAST
% 5.44/5.71 @ ( lam @ ty_2Enum_2Enum
% 5.44/5.71 @ ^ [V2n: $i] : ( ap @ V0P @ V2n ) ) ) ) )
% 5.44/5.71 @ ( c_2Eoption_2ENONE @ ty_2Enum_2Enum ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Ewhile_2EOLEAST__INTRO,axiom,
% 5.44/5.71 ! [V0P: $i] :
% 5.44/5.71 ( ( mem @ V0P @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.44/5.71 => ! [V1Q: $i] :
% 5.44/5.71 ( ( mem @ V1Q @ ( arr @ ( ty_2Eoption_2Eoption @ ty_2Enum_2Enum ) @ bool ) )
% 5.44/5.71 => ( ( ( ! [V2n: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ~ ( p @ ( ap @ V0P @ ( inj__ty_2Enum_2Enum @ V2n ) ) )
% 5.44/5.71 => ( p @ ( ap @ V1Q @ ( c_2Eoption_2ENONE @ ty_2Enum_2Enum ) ) ) )
% 5.44/5.71 & ! [V3n: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( ( p @ ( ap @ V0P @ ( inj__ty_2Enum_2Enum @ V3n ) ) )
% 5.44/5.71 & ! [V4m: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V4m ) ) @ ( inj__ty_2Enum_2Enum @ V3n ) ) )
% 5.44/5.71 => ~ ( p @ ( ap @ V0P @ ( inj__ty_2Enum_2Enum @ V4m ) ) ) ) )
% 5.44/5.71 => ( p @ ( ap @ V1Q @ ( ap @ ( c_2Eoption_2ESOME @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) ) ) )
% 5.44/5.71 => ( p @ ( ap @ V1Q @ ( ap @ c_2Ewhile_2EOLEAST @ V0P ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Ewhile_2EOLEAST__EQNS,axiom,
% 5.44/5.71 ! [V0x: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( ( surj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum
% 5.44/5.71 @ ( ap @ c_2Ewhile_2EOLEAST
% 5.44/5.71 @ ( lam @ ty_2Enum_2Enum
% 5.44/5.71 @ ^ [V1n: $i] : ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ V1n ) @ ( inj__ty_2Enum_2Enum @ V0x ) ) ) ) )
% 5.44/5.71 = ( surj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ ( ap @ ( c_2Eoption_2ESOME @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V0x ) ) ) )
% 5.44/5.71 & ( ( surj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum
% 5.44/5.71 @ ( ap @ c_2Ewhile_2EOLEAST
% 5.44/5.71 @ ( lam @ ty_2Enum_2Enum
% 5.44/5.71 @ ^ [V2n: $i] : ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ V2n ) ) ) )
% 5.44/5.71 = ( surj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ ( ap @ ( c_2Eoption_2ESOME @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V0x ) ) ) )
% 5.44/5.71 & ( ( surj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum
% 5.44/5.71 @ ( ap @ c_2Ewhile_2EOLEAST
% 5.44/5.71 @ ( lam @ ty_2Enum_2Enum
% 5.44/5.71 @ ^ [V3n: $i] : c_2Ebool_2EF ) ) )
% 5.44/5.71 = ( surj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ ( c_2Eoption_2ENONE @ ty_2Enum_2Enum ) ) )
% 5.44/5.71 & ( ( surj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum
% 5.44/5.71 @ ( ap @ c_2Ewhile_2EOLEAST
% 5.44/5.71 @ ( lam @ ty_2Enum_2Enum
% 5.44/5.71 @ ^ [V4n: $i] : c_2Ebool_2ET ) ) )
% 5.44/5.71 = ( surj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ ( ap @ ( c_2Eoption_2ESOME @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Ewhile_2EOLEAST__EQ__NONE,axiom,
% 5.44/5.71 ! [V0P: $i] :
% 5.44/5.71 ( ( mem @ V0P @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.44/5.71 => ( ( ( surj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ ( ap @ c_2Ewhile_2EOLEAST @ V0P ) )
% 5.44/5.71 = ( surj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ ( c_2Eoption_2ENONE @ ty_2Enum_2Enum ) ) )
% 5.44/5.71 <=> ! [V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ~ ( p @ ( ap @ V0P @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Ewhile_2EOLEAST__EQ__SOME,axiom,
% 5.44/5.71 ! [V0P: $i] :
% 5.44/5.71 ( ( mem @ V0P @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.44/5.71 => ! [V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( ( surj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ ( ap @ c_2Ewhile_2EOLEAST @ V0P ) )
% 5.44/5.71 = ( surj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ ( ap @ ( c_2Eoption_2ESOME @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.44/5.71 <=> ( ( p @ ( ap @ V0P @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.71 & ! [V2m: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V2m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.71 => ~ ( p @ ( ap @ V0P @ ( inj__ty_2Enum_2Enum @ V2m ) ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(ax_thm_2Ewhile_2EOWHILE__def,axiom,
% 5.44/5.71 ! [A_27a: del,V0G: $i] :
% 5.44/5.71 ( ( mem @ V0G @ ( arr @ A_27a @ bool ) )
% 5.44/5.71 => ! [V1f: $i] :
% 5.44/5.71 ( ( mem @ V1f @ ( arr @ A_27a @ A_27a ) )
% 5.44/5.71 => ! [V2s: $i] :
% 5.44/5.71 ( ( mem @ V2s @ A_27a )
% 5.44/5.71 => ( ( ap @ ( ap @ ( ap @ ( c_2Ewhile_2EOWHILE @ A_27a ) @ V0G ) @ V1f ) @ V2s )
% 5.44/5.71 = ( ap
% 5.44/5.71 @ ( ap
% 5.44/5.71 @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Eoption_2Eoption @ A_27a ) )
% 5.44/5.71 @ ( ap @ ( c_2Ebool_2E_3F @ ty_2Enum_2Enum )
% 5.44/5.71 @ ( lam @ ty_2Enum_2Enum
% 5.44/5.71 @ ^ [V3n: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0G @ ( ap @ ( ap @ ( ap @ ( c_2Earithmetic_2EFUNPOW @ A_27a ) @ V1f ) @ V3n ) @ V2s ) ) ) ) ) )
% 5.44/5.71 @ ( ap @ ( c_2Eoption_2ESOME @ A_27a )
% 5.44/5.71 @ ( ap
% 5.44/5.71 @ ( ap @ ( ap @ ( c_2Earithmetic_2EFUNPOW @ A_27a ) @ V1f )
% 5.44/5.71 @ ( ap @ c_2Ewhile_2ELEAST
% 5.44/5.71 @ ( lam @ ty_2Enum_2Enum
% 5.44/5.71 @ ^ [V4n: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0G @ ( ap @ ( ap @ ( ap @ ( c_2Earithmetic_2EFUNPOW @ A_27a ) @ V1f ) @ V4n ) @ V2s ) ) ) ) ) )
% 5.44/5.71 @ V2s ) ) )
% 5.44/5.71 @ ( c_2Eoption_2ENONE @ A_27a ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Ewhile_2EOWHILE__THM,axiom,
% 5.44/5.71 ! [A_27a: del,V0G: $i] :
% 5.44/5.71 ( ( mem @ V0G @ ( arr @ A_27a @ bool ) )
% 5.44/5.71 => ! [V1f: $i] :
% 5.44/5.71 ( ( mem @ V1f @ ( arr @ A_27a @ A_27a ) )
% 5.44/5.71 => ! [V2s: $i] :
% 5.44/5.71 ( ( mem @ V2s @ A_27a )
% 5.44/5.71 => ( ( ap @ ( ap @ ( ap @ ( c_2Ewhile_2EOWHILE @ A_27a ) @ V0G ) @ V1f ) @ V2s )
% 5.44/5.71 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ ( ap @ V0G @ V2s ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ewhile_2EOWHILE @ A_27a ) @ V0G ) @ V1f ) @ ( ap @ V1f @ V2s ) ) ) @ ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V2s ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Ewhile_2EOWHILE__EQ__NONE,axiom,
% 5.44/5.71 ! [A_27a: del,V0G: $i] :
% 5.44/5.71 ( ( mem @ V0G @ ( arr @ A_27a @ bool ) )
% 5.44/5.71 => ! [V1f: $i] :
% 5.44/5.71 ( ( mem @ V1f @ ( arr @ A_27a @ A_27a ) )
% 5.44/5.71 => ! [V2s: $i] :
% 5.44/5.71 ( ( mem @ V2s @ A_27a )
% 5.44/5.71 => ( ( ( ap @ ( ap @ ( ap @ ( c_2Ewhile_2EOWHILE @ A_27a ) @ V0G ) @ V1f ) @ V2s )
% 5.44/5.71 = ( c_2Eoption_2ENONE @ A_27a ) )
% 5.44/5.71 <=> ! [V3n: tp__ty_2Enum_2Enum] : ( p @ ( ap @ V0G @ ( ap @ ( ap @ ( ap @ ( c_2Earithmetic_2EFUNPOW @ A_27a ) @ V1f ) @ ( inj__ty_2Enum_2Enum @ V3n ) ) @ V2s ) ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Ewhile_2EOWHILE__ENDCOND,axiom,
% 5.44/5.71 ! [A_27a: del,V0G: $i] :
% 5.44/5.71 ( ( mem @ V0G @ ( arr @ A_27a @ bool ) )
% 5.44/5.71 => ! [V1f: $i] :
% 5.44/5.71 ( ( mem @ V1f @ ( arr @ A_27a @ A_27a ) )
% 5.44/5.71 => ! [V2s: $i] :
% 5.44/5.71 ( ( mem @ V2s @ A_27a )
% 5.44/5.71 => ! [V3s_27: $i] :
% 5.44/5.71 ( ( mem @ V3s_27 @ A_27a )
% 5.44/5.71 => ( ( ( ap @ ( ap @ ( ap @ ( c_2Ewhile_2EOWHILE @ A_27a ) @ V0G ) @ V1f ) @ V2s )
% 5.44/5.71 = ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V3s_27 ) )
% 5.44/5.71 => ~ ( p @ ( ap @ V0G @ V3s_27 ) ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Ewhile_2EOWHILE__WHILE,axiom,
% 5.44/5.71 ! [A_27a: del,V0G: $i] :
% 5.44/5.71 ( ( mem @ V0G @ ( arr @ A_27a @ bool ) )
% 5.44/5.71 => ! [V1f: $i] :
% 5.44/5.71 ( ( mem @ V1f @ ( arr @ A_27a @ A_27a ) )
% 5.44/5.71 => ! [V2s: $i] :
% 5.44/5.71 ( ( mem @ V2s @ A_27a )
% 5.44/5.71 => ! [V3s_27: $i] :
% 5.44/5.71 ( ( mem @ V3s_27 @ A_27a )
% 5.44/5.71 => ( ( ( ap @ ( ap @ ( ap @ ( c_2Ewhile_2EOWHILE @ A_27a ) @ V0G ) @ V1f ) @ V2s )
% 5.44/5.71 = ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V3s_27 ) )
% 5.44/5.71 => ( ( ap @ ( ap @ ( ap @ ( c_2Ewhile_2EWHILE @ A_27a ) @ V0G ) @ V1f ) @ V2s )
% 5.44/5.71 = V3s_27 ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Ewhile_2EOWHILE__INV__IND,axiom,
% 5.44/5.71 ! [A_27a: del,V0P: $i] :
% 5.44/5.71 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.44/5.71 => ! [V1G: $i] :
% 5.44/5.71 ( ( mem @ V1G @ ( arr @ A_27a @ bool ) )
% 5.44/5.71 => ! [V2f: $i] :
% 5.44/5.71 ( ( mem @ V2f @ ( arr @ A_27a @ A_27a ) )
% 5.44/5.71 => ! [V3s: $i] :
% 5.44/5.71 ( ( mem @ V3s @ A_27a )
% 5.44/5.71 => ( ( ( p @ ( ap @ V0P @ V3s ) )
% 5.44/5.71 & ! [V4x: $i] :
% 5.44/5.71 ( ( mem @ V4x @ A_27a )
% 5.44/5.71 => ( ( ( p @ ( ap @ V0P @ V4x ) )
% 5.44/5.71 & ( p @ ( ap @ V1G @ V4x ) ) )
% 5.44/5.71 => ( p @ ( ap @ V0P @ ( ap @ V2f @ V4x ) ) ) ) ) )
% 5.44/5.71 => ! [V5s_27: $i] :
% 5.44/5.71 ( ( mem @ V5s_27 @ A_27a )
% 5.44/5.71 => ( ( ( ap @ ( ap @ ( ap @ ( c_2Ewhile_2EOWHILE @ A_27a ) @ V1G ) @ V2f ) @ V3s )
% 5.44/5.71 = ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V5s_27 ) )
% 5.44/5.71 => ( p @ ( ap @ V0P @ V5s_27 ) ) ) ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Ewhile_2EOWHILE__IND,axiom,
% 5.44/5.71 ! [A_27a: del,V0P: $i] :
% 5.44/5.71 ( ( mem @ V0P @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.71 => ! [V1G: $i] :
% 5.44/5.71 ( ( mem @ V1G @ ( arr @ A_27a @ bool ) )
% 5.44/5.71 => ! [V2f: $i] :
% 5.44/5.71 ( ( mem @ V2f @ ( arr @ A_27a @ A_27a ) )
% 5.44/5.71 => ( ( ! [V3s: $i] :
% 5.44/5.71 ( ( mem @ V3s @ A_27a )
% 5.44/5.71 => ( ~ ( p @ ( ap @ V1G @ V3s ) )
% 5.44/5.71 => ( p @ ( ap @ ( ap @ V0P @ V3s ) @ V3s ) ) ) )
% 5.44/5.71 & ! [V4s1: $i] :
% 5.44/5.71 ( ( mem @ V4s1 @ A_27a )
% 5.44/5.71 => ! [V5s2: $i] :
% 5.44/5.71 ( ( mem @ V5s2 @ A_27a )
% 5.44/5.71 => ( ( ( p @ ( ap @ V1G @ V4s1 ) )
% 5.44/5.71 & ( p @ ( ap @ ( ap @ V0P @ ( ap @ V2f @ V4s1 ) ) @ V5s2 ) ) )
% 5.44/5.71 => ( p @ ( ap @ ( ap @ V0P @ V4s1 ) @ V5s2 ) ) ) ) ) )
% 5.44/5.71 => ! [V6s1: $i] :
% 5.44/5.71 ( ( mem @ V6s1 @ A_27a )
% 5.44/5.71 => ! [V7s2: $i] :
% 5.44/5.71 ( ( mem @ V7s2 @ A_27a )
% 5.44/5.71 => ( ( ( ap @ ( ap @ ( ap @ ( c_2Ewhile_2EOWHILE @ A_27a ) @ V1G ) @ V2f ) @ V6s1 )
% 5.44/5.71 = ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V7s2 ) )
% 5.44/5.71 => ( p @ ( ap @ ( ap @ V0P @ V6s1 ) @ V7s2 ) ) ) ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 %------------------------------------------------------------------------------
% 5.44/5.71 %------------------------------------------------------------------------------
% 5.44/5.71 thf(tp_c_2Enumeral_2Eexactlog,type,
% 5.44/5.71 c_2Enumeral_2Eexactlog: $i ).
% 5.44/5.71
% 5.44/5.71 thf(mem_c_2Enumeral_2Eexactlog,axiom,
% 5.44/5.71 mem @ c_2Enumeral_2Eexactlog @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ).
% 5.44/5.71
% 5.44/5.71 thf(stp_fo_c_2Enumeral_2Eexactlog,type,
% 5.44/5.71 fo__c_2Enumeral_2Eexactlog: tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum ).
% 5.44/5.71
% 5.44/5.71 thf(stp_eq_fo_c_2Enumeral_2Eexactlog,axiom,
% 5.44/5.71 ! [X0: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( inj__ty_2Enum_2Enum @ ( fo__c_2Enumeral_2Eexactlog @ X0 ) )
% 5.44/5.71 = ( ap @ c_2Enumeral_2Eexactlog @ ( inj__ty_2Enum_2Enum @ X0 ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(tp_c_2Enumeral_2EiBIT__cases,type,
% 5.44/5.71 c_2Enumeral_2EiBIT__cases: del > $i ).
% 5.44/5.71
% 5.44/5.71 thf(mem_c_2Enumeral_2EiBIT__cases,axiom,
% 5.44/5.71 ! [A_27a: del] : ( mem @ ( c_2Enumeral_2EiBIT__cases @ A_27a ) @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ ( arr @ ( arr @ ty_2Enum_2Enum @ A_27a ) @ ( arr @ ( arr @ ty_2Enum_2Enum @ A_27a ) @ A_27a ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(tp_c_2Enumeral_2EiDUB,type,
% 5.44/5.71 c_2Enumeral_2EiDUB: $i ).
% 5.44/5.71
% 5.44/5.71 thf(mem_c_2Enumeral_2EiDUB,axiom,
% 5.44/5.71 mem @ c_2Enumeral_2EiDUB @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ).
% 5.44/5.71
% 5.44/5.71 thf(stp_fo_c_2Enumeral_2EiDUB,type,
% 5.44/5.71 fo__c_2Enumeral_2EiDUB: tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum ).
% 5.44/5.71
% 5.44/5.71 thf(stp_eq_fo_c_2Enumeral_2EiDUB,axiom,
% 5.44/5.71 ! [X0: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( inj__ty_2Enum_2Enum @ ( fo__c_2Enumeral_2EiDUB @ X0 ) )
% 5.44/5.71 = ( ap @ c_2Enumeral_2EiDUB @ ( inj__ty_2Enum_2Enum @ X0 ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(tp_c_2Enumeral_2EiSQR,type,
% 5.44/5.71 c_2Enumeral_2EiSQR: $i ).
% 5.44/5.71
% 5.44/5.71 thf(mem_c_2Enumeral_2EiSQR,axiom,
% 5.44/5.71 mem @ c_2Enumeral_2EiSQR @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ).
% 5.44/5.71
% 5.44/5.71 thf(stp_fo_c_2Enumeral_2EiSQR,type,
% 5.44/5.71 fo__c_2Enumeral_2EiSQR: tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum ).
% 5.44/5.71
% 5.44/5.71 thf(stp_eq_fo_c_2Enumeral_2EiSQR,axiom,
% 5.44/5.71 ! [X0: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( inj__ty_2Enum_2Enum @ ( fo__c_2Enumeral_2EiSQR @ X0 ) )
% 5.44/5.71 = ( ap @ c_2Enumeral_2EiSQR @ ( inj__ty_2Enum_2Enum @ X0 ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(tp_c_2Enumeral_2EiSUB,type,
% 5.44/5.71 c_2Enumeral_2EiSUB: $i ).
% 5.44/5.71
% 5.44/5.71 thf(mem_c_2Enumeral_2EiSUB,axiom,
% 5.44/5.71 mem @ c_2Enumeral_2EiSUB @ ( arr @ bool @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(tp_c_2Enumeral_2EiZ,type,
% 5.44/5.71 c_2Enumeral_2EiZ: $i ).
% 5.44/5.71
% 5.44/5.71 thf(mem_c_2Enumeral_2EiZ,axiom,
% 5.44/5.71 mem @ c_2Enumeral_2EiZ @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ).
% 5.44/5.71
% 5.44/5.71 thf(stp_fo_c_2Enumeral_2EiZ,type,
% 5.44/5.71 fo__c_2Enumeral_2EiZ: tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum ).
% 5.44/5.71
% 5.44/5.71 thf(stp_eq_fo_c_2Enumeral_2EiZ,axiom,
% 5.44/5.71 ! [X0: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( inj__ty_2Enum_2Enum @ ( fo__c_2Enumeral_2EiZ @ X0 ) )
% 5.44/5.71 = ( ap @ c_2Enumeral_2EiZ @ ( inj__ty_2Enum_2Enum @ X0 ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(tp_c_2Enumeral_2EiiSUC,type,
% 5.44/5.71 c_2Enumeral_2EiiSUC: $i ).
% 5.44/5.71
% 5.44/5.71 thf(mem_c_2Enumeral_2EiiSUC,axiom,
% 5.44/5.71 mem @ c_2Enumeral_2EiiSUC @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ).
% 5.44/5.71
% 5.44/5.71 thf(stp_fo_c_2Enumeral_2EiiSUC,type,
% 5.44/5.71 fo__c_2Enumeral_2EiiSUC: tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum ).
% 5.44/5.71
% 5.44/5.71 thf(stp_eq_fo_c_2Enumeral_2EiiSUC,axiom,
% 5.44/5.71 ! [X0: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( inj__ty_2Enum_2Enum @ ( fo__c_2Enumeral_2EiiSUC @ X0 ) )
% 5.44/5.71 = ( ap @ c_2Enumeral_2EiiSUC @ ( inj__ty_2Enum_2Enum @ X0 ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(tp_c_2Enumeral_2Einternal__mult,type,
% 5.44/5.71 c_2Enumeral_2Einternal__mult: $i ).
% 5.44/5.71
% 5.44/5.71 thf(mem_c_2Enumeral_2Einternal__mult,axiom,
% 5.44/5.71 mem @ c_2Enumeral_2Einternal__mult @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(stp_fo_c_2Enumeral_2Einternal__mult,type,
% 5.44/5.71 fo__c_2Enumeral_2Einternal__mult: tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum ).
% 5.44/5.71
% 5.44/5.71 thf(stp_eq_fo_c_2Enumeral_2Einternal__mult,axiom,
% 5.44/5.71 ! [X0: tp__ty_2Enum_2Enum,X1: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( inj__ty_2Enum_2Enum @ ( fo__c_2Enumeral_2Einternal__mult @ X0 @ X1 ) )
% 5.44/5.71 = ( ap @ ( ap @ c_2Enumeral_2Einternal__mult @ ( inj__ty_2Enum_2Enum @ X0 ) ) @ ( inj__ty_2Enum_2Enum @ X1 ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(tp_c_2Enumeral_2Eonecount,type,
% 5.44/5.71 c_2Enumeral_2Eonecount: $i ).
% 5.44/5.71
% 5.44/5.71 thf(mem_c_2Enumeral_2Eonecount,axiom,
% 5.44/5.71 mem @ c_2Enumeral_2Eonecount @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(stp_fo_c_2Enumeral_2Eonecount,type,
% 5.44/5.71 fo__c_2Enumeral_2Eonecount: tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum ).
% 5.44/5.71
% 5.44/5.71 thf(stp_eq_fo_c_2Enumeral_2Eonecount,axiom,
% 5.44/5.71 ! [X0: tp__ty_2Enum_2Enum,X1: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( inj__ty_2Enum_2Enum @ ( fo__c_2Enumeral_2Eonecount @ X0 @ X1 ) )
% 5.44/5.71 = ( ap @ ( ap @ c_2Enumeral_2Eonecount @ ( inj__ty_2Enum_2Enum @ X0 ) ) @ ( inj__ty_2Enum_2Enum @ X1 ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(tp_c_2Enumeral_2Etexp__help,type,
% 5.44/5.71 c_2Enumeral_2Etexp__help: $i ).
% 5.44/5.71
% 5.44/5.71 thf(mem_c_2Enumeral_2Etexp__help,axiom,
% 5.44/5.71 mem @ c_2Enumeral_2Etexp__help @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(stp_fo_c_2Enumeral_2Etexp__help,type,
% 5.44/5.71 fo__c_2Enumeral_2Etexp__help: tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum ).
% 5.44/5.71
% 5.44/5.71 thf(stp_eq_fo_c_2Enumeral_2Etexp__help,axiom,
% 5.44/5.71 ! [X0: tp__ty_2Enum_2Enum,X1: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( inj__ty_2Enum_2Enum @ ( fo__c_2Enumeral_2Etexp__help @ X0 @ X1 ) )
% 5.44/5.71 = ( ap @ ( ap @ c_2Enumeral_2Etexp__help @ ( inj__ty_2Enum_2Enum @ X0 ) ) @ ( inj__ty_2Enum_2Enum @ X1 ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Enumeral_2Enumeral__suc,axiom,
% 5.44/5.71 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) )
% 5.44/5.71 & ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enum_2ESUC @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) )
% 5.44/5.71 & ! [V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enum_2ESUC @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(ax_thm_2Enumeral_2EiZ,axiom,
% 5.44/5.71 ! [V0x: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enumeral_2EiZ @ ( inj__ty_2Enum_2Enum @ V0x ) ) )
% 5.44/5.71 = V0x ) ).
% 5.44/5.71
% 5.44/5.71 thf(ax_thm_2Enumeral_2EiiSUC,axiom,
% 5.44/5.71 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enumeral_2EiiSUC @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enum_2ESUC @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Enumeral_2Enumeral__distrib,axiom,
% 5.44/5.71 ( ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.71 = V0n )
% 5.44/5.71 & ! [V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.44/5.71 = V1n )
% 5.44/5.71 & ! [V2n: tp__ty_2Enum_2Enum,V3m: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V3m ) ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Enumeral_2EiZ @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( inj__ty_2Enum_2Enum @ V3m ) ) ) ) ) )
% 5.44/5.71 & ! [V4n: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V4n ) ) )
% 5.44/5.71 = fo__c_2Enum_2E0 )
% 5.44/5.71 & ! [V5n: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V5n ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.44/5.71 = fo__c_2Enum_2E0 )
% 5.44/5.71 & ! [V6n: tp__ty_2Enum_2Enum,V7m: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V6n ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V7m ) ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V6n ) ) @ ( inj__ty_2Enum_2Enum @ V7m ) ) ) ) )
% 5.44/5.71 & ! [V8n: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V8n ) ) )
% 5.44/5.71 = fo__c_2Enum_2E0 )
% 5.44/5.71 & ! [V9n: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V9n ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.44/5.71 = V9n )
% 5.44/5.71 & ! [V10n: tp__ty_2Enum_2Enum,V11m: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V10n ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V11m ) ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V10n ) ) @ ( inj__ty_2Enum_2Enum @ V11m ) ) ) ) )
% 5.44/5.71 & ! [V12n: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V12n ) ) ) ) )
% 5.44/5.71 = fo__c_2Enum_2E0 )
% 5.44/5.71 & ! [V13n: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V13n ) ) ) ) )
% 5.44/5.71 = fo__c_2Enum_2E0 )
% 5.44/5.71 & ! [V14n: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( inj__ty_2Enum_2Enum @ V14n ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.44/5.71 & ! [V15n: tp__ty_2Enum_2Enum,V16m: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V15n ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V16m ) ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( inj__ty_2Enum_2Enum @ V15n ) ) @ ( inj__ty_2Enum_2Enum @ V16m ) ) ) ) )
% 5.44/5.71 & ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.44/5.71 & ! [V17n: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enum_2ESUC @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V17n ) ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V17n ) ) ) ) )
% 5.44/5.71 & ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Eprim__rec_2EPRE @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.44/5.71 = fo__c_2Enum_2E0 )
% 5.44/5.71 & ! [V18n: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Eprim__rec_2EPRE @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V18n ) ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Eprim__rec_2EPRE @ ( inj__ty_2Enum_2Enum @ V18n ) ) ) ) )
% 5.44/5.71 & ! [V19n: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V19n ) ) )
% 5.44/5.71 = fo__c_2Enum_2E0 )
% 5.44/5.71 <=> ( V19n = fo__c_2Earithmetic_2EZERO ) )
% 5.44/5.71 & ! [V20n: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( fo__c_2Enum_2E0
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V20n ) ) ) )
% 5.44/5.71 <=> ( V20n = fo__c_2Earithmetic_2EZERO ) )
% 5.44/5.71 & ! [V21n: tp__ty_2Enum_2Enum,V22m: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V21n ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V22m ) ) ) )
% 5.44/5.71 <=> ( V21n = V22m ) )
% 5.44/5.71 & ! [V23n: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V23n ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.44/5.71 <=> $false )
% 5.44/5.71 & ! [V24n: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V24n ) ) ) )
% 5.44/5.71 <=> ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) @ ( inj__ty_2Enum_2Enum @ V24n ) ) ) )
% 5.44/5.71 & ! [V25n: tp__ty_2Enum_2Enum,V26m: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V25n ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V26m ) ) ) )
% 5.44/5.71 <=> ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V25n ) ) @ ( inj__ty_2Enum_2Enum @ V26m ) ) ) )
% 5.44/5.71 & ! [V27n: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V27n ) ) )
% 5.44/5.71 <=> $false )
% 5.44/5.71 & ! [V28n: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V28n ) ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.44/5.71 <=> ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) @ ( inj__ty_2Enum_2Enum @ V28n ) ) ) )
% 5.44/5.71 & ! [V29n: tp__ty_2Enum_2Enum,V30m: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V29n ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V30m ) ) ) )
% 5.44/5.71 <=> ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V30m ) ) @ ( inj__ty_2Enum_2Enum @ V29n ) ) ) )
% 5.44/5.71 & ! [V31n: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V31n ) ) )
% 5.44/5.71 <=> $true )
% 5.44/5.71 & ! [V32n: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V32n ) ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.44/5.71 <=> ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V32n ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) )
% 5.44/5.71 & ! [V33n: tp__ty_2Enum_2Enum,V34m: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V33n ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V34m ) ) ) )
% 5.44/5.71 <=> ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V33n ) ) @ ( inj__ty_2Enum_2Enum @ V34m ) ) ) )
% 5.44/5.71 & ! [V35n: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( inj__ty_2Enum_2Enum @ V35n ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.44/5.71 <=> $true )
% 5.44/5.71 & ! [V36n: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V36n ) ) )
% 5.44/5.71 <=> ( V36n = fo__c_2Enum_2E0 ) )
% 5.44/5.71 & ! [V37n: tp__ty_2Enum_2Enum,V38m: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V37n ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V38m ) ) ) )
% 5.44/5.71 <=> ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V38m ) ) @ ( inj__ty_2Enum_2Enum @ V37n ) ) ) )
% 5.44/5.71 & ! [V39n: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( p @ ( ap @ c_2Earithmetic_2EODD @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V39n ) ) ) )
% 5.44/5.71 <=> ( p @ ( ap @ c_2Earithmetic_2EODD @ ( inj__ty_2Enum_2Enum @ V39n ) ) ) )
% 5.44/5.71 & ! [V40n: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( p @ ( ap @ c_2Earithmetic_2EEVEN @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V40n ) ) ) )
% 5.44/5.71 <=> ( p @ ( ap @ c_2Earithmetic_2EEVEN @ ( inj__ty_2Enum_2Enum @ V40n ) ) ) )
% 5.44/5.71 & ~ ( p @ ( ap @ c_2Earithmetic_2EODD @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.44/5.71 & ( p @ ( ap @ c_2Earithmetic_2EEVEN @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Enumeral_2Enumeral__iisuc,axiom,
% 5.44/5.71 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enumeral_2EiiSUC @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) )
% 5.44/5.71 & ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enumeral_2EiiSUC @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) )
% 5.44/5.71 & ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enumeral_2EiiSUC @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Enumeral_2Enumeral__add,axiom,
% 5.44/5.71 ! [V0n: tp__ty_2Enum_2Enum,V1m: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enumeral_2EiZ @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) )
% 5.44/5.71 = V0n )
% 5.44/5.71 & ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enumeral_2EiZ @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) )
% 5.44/5.71 = V0n )
% 5.44/5.71 & ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enumeral_2EiZ @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Enumeral_2EiZ @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) ) ) )
% 5.44/5.71 & ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enumeral_2EiZ @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Enum_2ESUC @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) ) ) )
% 5.44/5.71 & ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enumeral_2EiZ @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Enum_2ESUC @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) ) ) )
% 5.44/5.71 & ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enumeral_2EiZ @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Enum_2ESUC @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) ) ) )
% 5.44/5.71 & ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enum_2ESUC @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) )
% 5.44/5.71 & ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enum_2ESUC @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) )
% 5.44/5.71 & ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enum_2ESUC @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Enum_2ESUC @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) ) ) )
% 5.44/5.71 & ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enum_2ESUC @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Enum_2ESUC @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) ) ) )
% 5.44/5.71 & ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enum_2ESUC @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Enum_2ESUC @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) ) ) )
% 5.44/5.71 & ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enum_2ESUC @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Enumeral_2EiiSUC @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) ) ) )
% 5.44/5.71 & ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enumeral_2EiiSUC @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enumeral_2EiiSUC @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) )
% 5.44/5.71 & ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enumeral_2EiiSUC @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enumeral_2EiiSUC @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) )
% 5.44/5.71 & ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enumeral_2EiiSUC @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Enum_2ESUC @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) ) ) )
% 5.44/5.71 & ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enumeral_2EiiSUC @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Enumeral_2EiiSUC @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) ) ) )
% 5.44/5.71 & ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enumeral_2EiiSUC @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Enumeral_2EiiSUC @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) ) ) )
% 5.44/5.71 & ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enumeral_2EiiSUC @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Enumeral_2EiiSUC @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Enumeral_2Enumeral__eq,axiom,
% 5.44/5.71 ! [V0n: tp__ty_2Enum_2Enum,V1m: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( ( fo__c_2Earithmetic_2EZERO
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) )
% 5.44/5.71 <=> $false )
% 5.44/5.71 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.71 = fo__c_2Earithmetic_2EZERO )
% 5.44/5.71 <=> $false )
% 5.44/5.71 & ( ( fo__c_2Earithmetic_2EZERO
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) )
% 5.44/5.71 <=> $false )
% 5.44/5.71 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.71 = fo__c_2Earithmetic_2EZERO )
% 5.44/5.71 <=> $false )
% 5.44/5.71 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) )
% 5.44/5.71 <=> $false )
% 5.44/5.71 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) )
% 5.44/5.71 <=> $false )
% 5.44/5.71 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) )
% 5.44/5.71 <=> ( V0n = V1m ) )
% 5.44/5.71 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) )
% 5.44/5.71 <=> ( V0n = V1m ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Enumeral_2Enumeral__lt,axiom,
% 5.44/5.71 ! [V0n: tp__ty_2Enum_2Enum,V1m: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) )
% 5.44/5.71 <=> $true )
% 5.44/5.71 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) )
% 5.44/5.71 <=> $true )
% 5.44/5.71 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) )
% 5.44/5.71 <=> $false )
% 5.44/5.71 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) )
% 5.44/5.71 <=> ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) )
% 5.44/5.71 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) )
% 5.44/5.71 <=> ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) )
% 5.44/5.71 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) )
% 5.44/5.71 <=> ~ ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) )
% 5.44/5.71 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) )
% 5.44/5.71 <=> ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Enumeral_2Enumeral__lte,axiom,
% 5.44/5.71 ! [V0n: tp__ty_2Enum_2Enum,V1m: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.71 <=> $true )
% 5.44/5.71 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) )
% 5.44/5.71 <=> $false )
% 5.44/5.71 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) )
% 5.44/5.71 <=> $false )
% 5.44/5.71 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) )
% 5.44/5.71 <=> ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) )
% 5.44/5.71 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) )
% 5.44/5.71 <=> ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) )
% 5.44/5.71 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) )
% 5.44/5.71 <=> ~ ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) )
% 5.44/5.71 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) )
% 5.44/5.71 <=> ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Enumeral_2Enumeral__pre,axiom,
% 5.44/5.71 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Eprim__rec_2EPRE @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) )
% 5.44/5.71 = fo__c_2Earithmetic_2EZERO )
% 5.44/5.71 & ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Eprim__rec_2EPRE @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) )
% 5.44/5.71 = fo__c_2Earithmetic_2EZERO )
% 5.44/5.71 & ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Eprim__rec_2EPRE @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Eprim__rec_2EPRE @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) )
% 5.44/5.71 & ! [V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Eprim__rec_2EPRE @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) )
% 5.44/5.71 & ! [V2n: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Eprim__rec_2EPRE @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Enumeral_2Ebit__initiality,axiom,
% 5.44/5.71 ! [A_27a: del,V0zf: $i] :
% 5.44/5.71 ( ( mem @ V0zf @ A_27a )
% 5.44/5.71 => ! [V1b1f: $i] :
% 5.44/5.71 ( ( mem @ V1b1f @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ A_27a ) ) )
% 5.44/5.71 => ! [V2b2f: $i] :
% 5.44/5.71 ( ( mem @ V2b2f @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ A_27a ) ) )
% 5.44/5.71 => ? [V3f: $i] :
% 5.44/5.71 ( ( mem @ V3f @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.44/5.71 & ( ( ap @ V3f @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) )
% 5.44/5.71 = V0zf )
% 5.44/5.71 & ! [V4n: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( ap @ V3f @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V4n ) ) )
% 5.44/5.71 = ( ap @ ( ap @ V1b1f @ ( inj__ty_2Enum_2Enum @ V4n ) ) @ ( ap @ V3f @ ( inj__ty_2Enum_2Enum @ V4n ) ) ) )
% 5.44/5.71 & ! [V5n: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( ap @ V3f @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V5n ) ) )
% 5.44/5.71 = ( ap @ ( ap @ V2b2f @ ( inj__ty_2Enum_2Enum @ V5n ) ) @ ( ap @ V3f @ ( inj__ty_2Enum_2Enum @ V5n ) ) ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(ax_thm_2Enumeral_2EiBIT__cases,axiom,
% 5.44/5.71 ! [A_27a: del] :
% 5.44/5.71 ( ! [V0zf: $i] :
% 5.44/5.71 ( ( mem @ V0zf @ A_27a )
% 5.44/5.71 => ! [V1bf1: $i] :
% 5.44/5.71 ( ( mem @ V1bf1 @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.44/5.71 => ! [V2bf2: $i] :
% 5.44/5.71 ( ( mem @ V2bf2 @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.44/5.71 => ( ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Enumeral_2EiBIT__cases @ A_27a ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) @ V0zf ) @ V1bf1 ) @ V2bf2 )
% 5.44/5.71 = V0zf ) ) ) )
% 5.44/5.71 & ! [V3n: tp__ty_2Enum_2Enum,V4zf: $i] :
% 5.44/5.71 ( ( mem @ V4zf @ A_27a )
% 5.44/5.71 => ! [V5bf1: $i] :
% 5.44/5.71 ( ( mem @ V5bf1 @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.44/5.71 => ! [V6bf2: $i] :
% 5.44/5.71 ( ( mem @ V6bf2 @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.44/5.71 => ( ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Enumeral_2EiBIT__cases @ A_27a ) @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) @ V4zf ) @ V5bf1 ) @ V6bf2 )
% 5.44/5.71 = ( ap @ V5bf1 @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) ) ) )
% 5.44/5.71 & ! [V7n: tp__ty_2Enum_2Enum,V8zf: $i] :
% 5.44/5.71 ( ( mem @ V8zf @ A_27a )
% 5.44/5.71 => ! [V9bf1: $i] :
% 5.44/5.71 ( ( mem @ V9bf1 @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.44/5.71 => ! [V10bf2: $i] :
% 5.44/5.71 ( ( mem @ V10bf2 @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.44/5.71 => ( ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Enumeral_2EiBIT__cases @ A_27a ) @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V7n ) ) ) @ V8zf ) @ V9bf1 ) @ V10bf2 )
% 5.44/5.71 = ( ap @ V10bf2 @ ( inj__ty_2Enum_2Enum @ V7n ) ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(ax_thm_2Enumeral_2EiDUB,axiom,
% 5.44/5.71 ! [V0x: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enumeral_2EiDUB @ ( inj__ty_2Enum_2Enum @ V0x ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( inj__ty_2Enum_2Enum @ V0x ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(ax_thm_2Enumeral_2EiSUB__DEF,axiom,
% 5.44/5.71 ( ! [V0b: $i] :
% 5.44/5.71 ( ( mem @ V0b @ bool )
% 5.44/5.71 => ! [V1x: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Enumeral_2EiSUB @ V0b ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.44/5.71 = fo__c_2Earithmetic_2EZERO ) )
% 5.44/5.71 & ! [V2b: $i] :
% 5.44/5.71 ( ( mem @ V2b @ bool )
% 5.44/5.71 => ! [V3n: tp__ty_2Enum_2Enum,V4x: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Enumeral_2EiSUB @ V2b ) @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) @ ( inj__ty_2Enum_2Enum @ V4x ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum
% 5.44/5.71 @ ( ap
% 5.44/5.71 @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ V2b )
% 5.44/5.71 @ ( ap
% 5.44/5.71 @ ( ap @ ( ap @ ( ap @ ( c_2Enumeral_2EiBIT__cases @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V4x ) ) @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V3n ) ) )
% 5.44/5.71 @ ( lam @ ty_2Enum_2Enum
% 5.44/5.71 @ ^ [V5m: $i] : ( ap @ c_2Enumeral_2EiDUB @ ( ap @ ( ap @ ( ap @ c_2Enumeral_2EiSUB @ c_2Ebool_2ET ) @ ( inj__ty_2Enum_2Enum @ V3n ) ) @ V5m ) ) ) )
% 5.44/5.71 @ ( lam @ ty_2Enum_2Enum
% 5.44/5.71 @ ^ [V6m: $i] : ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ ( ap @ ( ap @ c_2Enumeral_2EiSUB @ c_2Ebool_2EF ) @ ( inj__ty_2Enum_2Enum @ V3n ) ) @ V6m ) ) ) ) )
% 5.44/5.71 @ ( ap
% 5.44/5.71 @ ( ap @ ( ap @ ( ap @ ( c_2Enumeral_2EiBIT__cases @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V4x ) ) @ ( ap @ c_2Enumeral_2EiDUB @ ( inj__ty_2Enum_2Enum @ V3n ) ) )
% 5.44/5.71 @ ( lam @ ty_2Enum_2Enum
% 5.44/5.71 @ ^ [V7m: $i] : ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ ( ap @ ( ap @ c_2Enumeral_2EiSUB @ c_2Ebool_2EF ) @ ( inj__ty_2Enum_2Enum @ V3n ) ) @ V7m ) ) ) )
% 5.44/5.71 @ ( lam @ ty_2Enum_2Enum
% 5.44/5.71 @ ^ [V8m: $i] : ( ap @ c_2Enumeral_2EiDUB @ ( ap @ ( ap @ ( ap @ c_2Enumeral_2EiSUB @ c_2Ebool_2EF ) @ ( inj__ty_2Enum_2Enum @ V3n ) ) @ V8m ) ) ) ) ) ) ) )
% 5.44/5.71 & ! [V9b: $i] :
% 5.44/5.71 ( ( mem @ V9b @ bool )
% 5.44/5.71 => ! [V10n: tp__ty_2Enum_2Enum,V11x: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Enumeral_2EiSUB @ V9b ) @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V10n ) ) ) @ ( inj__ty_2Enum_2Enum @ V11x ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum
% 5.44/5.71 @ ( ap
% 5.44/5.71 @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ V9b )
% 5.44/5.71 @ ( ap
% 5.44/5.71 @ ( ap @ ( ap @ ( ap @ ( c_2Enumeral_2EiBIT__cases @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V11x ) ) @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V10n ) ) )
% 5.44/5.71 @ ( lam @ ty_2Enum_2Enum
% 5.44/5.71 @ ^ [V12m: $i] : ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ ( ap @ ( ap @ c_2Enumeral_2EiSUB @ c_2Ebool_2ET ) @ ( inj__ty_2Enum_2Enum @ V10n ) ) @ V12m ) ) ) )
% 5.44/5.71 @ ( lam @ ty_2Enum_2Enum
% 5.44/5.71 @ ^ [V13m: $i] : ( ap @ c_2Enumeral_2EiDUB @ ( ap @ ( ap @ ( ap @ c_2Enumeral_2EiSUB @ c_2Ebool_2ET ) @ ( inj__ty_2Enum_2Enum @ V10n ) ) @ V13m ) ) ) ) )
% 5.44/5.71 @ ( ap
% 5.44/5.71 @ ( ap @ ( ap @ ( ap @ ( c_2Enumeral_2EiBIT__cases @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V11x ) ) @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V10n ) ) )
% 5.44/5.71 @ ( lam @ ty_2Enum_2Enum
% 5.44/5.71 @ ^ [V14m: $i] : ( ap @ c_2Enumeral_2EiDUB @ ( ap @ ( ap @ ( ap @ c_2Enumeral_2EiSUB @ c_2Ebool_2ET ) @ ( inj__ty_2Enum_2Enum @ V10n ) ) @ V14m ) ) ) )
% 5.44/5.71 @ ( lam @ ty_2Enum_2Enum
% 5.44/5.71 @ ^ [V15m: $i] : ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ ( ap @ ( ap @ c_2Enumeral_2EiSUB @ c_2Ebool_2EF ) @ ( inj__ty_2Enum_2Enum @ V10n ) ) @ V15m ) ) ) ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Enumeral_2Ebit__induction,axiom,
% 5.44/5.71 ! [V0P: $i] :
% 5.44/5.71 ( ( mem @ V0P @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.44/5.71 => ( ( ( p @ ( ap @ V0P @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) )
% 5.44/5.71 & ! [V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( p @ ( ap @ V0P @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.71 => ( p @ ( ap @ V0P @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) )
% 5.44/5.71 & ! [V2n: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( p @ ( ap @ V0P @ ( inj__ty_2Enum_2Enum @ V2n ) ) )
% 5.44/5.71 => ( p @ ( ap @ V0P @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) ) )
% 5.44/5.71 => ! [V3n: tp__ty_2Enum_2Enum] : ( p @ ( ap @ V0P @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Enumeral_2EiSUB__THM,axiom,
% 5.44/5.71 ! [V0x: tp__ty_2Enum_2Enum,V1b: $i] :
% 5.44/5.71 ( ( mem @ V1b @ bool )
% 5.44/5.71 => ! [V2n: tp__ty_2Enum_2Enum,V3m: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Enumeral_2EiSUB @ V1b ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) @ ( inj__ty_2Enum_2Enum @ V0x ) ) )
% 5.44/5.71 = fo__c_2Earithmetic_2EZERO )
% 5.44/5.71 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Enumeral_2EiSUB @ c_2Ebool_2ET ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) )
% 5.44/5.71 = V2n )
% 5.44/5.71 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Enumeral_2EiSUB @ c_2Ebool_2EF ) @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enumeral_2EiDUB @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) )
% 5.44/5.71 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Enumeral_2EiSUB @ c_2Ebool_2ET ) @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V3m ) ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enumeral_2EiDUB @ ( ap @ ( ap @ ( ap @ c_2Enumeral_2EiSUB @ c_2Ebool_2ET ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( inj__ty_2Enum_2Enum @ V3m ) ) ) ) )
% 5.44/5.71 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Enumeral_2EiSUB @ c_2Ebool_2EF ) @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V3m ) ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ ( ap @ ( ap @ c_2Enumeral_2EiSUB @ c_2Ebool_2EF ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( inj__ty_2Enum_2Enum @ V3m ) ) ) ) )
% 5.44/5.71 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Enumeral_2EiSUB @ c_2Ebool_2ET ) @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V3m ) ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ ( ap @ ( ap @ c_2Enumeral_2EiSUB @ c_2Ebool_2EF ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( inj__ty_2Enum_2Enum @ V3m ) ) ) ) )
% 5.44/5.71 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Enumeral_2EiSUB @ c_2Ebool_2EF ) @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V3m ) ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enumeral_2EiDUB @ ( ap @ ( ap @ ( ap @ c_2Enumeral_2EiSUB @ c_2Ebool_2EF ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( inj__ty_2Enum_2Enum @ V3m ) ) ) ) )
% 5.44/5.71 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Enumeral_2EiSUB @ c_2Ebool_2EF ) @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) )
% 5.44/5.71 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Enumeral_2EiSUB @ c_2Ebool_2ET ) @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V3m ) ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ ( ap @ ( ap @ c_2Enumeral_2EiSUB @ c_2Ebool_2ET ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( inj__ty_2Enum_2Enum @ V3m ) ) ) ) )
% 5.44/5.71 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Enumeral_2EiSUB @ c_2Ebool_2EF ) @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V3m ) ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enumeral_2EiDUB @ ( ap @ ( ap @ ( ap @ c_2Enumeral_2EiSUB @ c_2Ebool_2ET ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( inj__ty_2Enum_2Enum @ V3m ) ) ) ) )
% 5.44/5.71 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Enumeral_2EiSUB @ c_2Ebool_2ET ) @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V3m ) ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enumeral_2EiDUB @ ( ap @ ( ap @ ( ap @ c_2Enumeral_2EiSUB @ c_2Ebool_2ET ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( inj__ty_2Enum_2Enum @ V3m ) ) ) ) )
% 5.44/5.71 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Enumeral_2EiSUB @ c_2Ebool_2EF ) @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V3m ) ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ ( ap @ ( ap @ c_2Enumeral_2EiSUB @ c_2Ebool_2EF ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( inj__ty_2Enum_2Enum @ V3m ) ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Enumeral_2Enumeral__sub,axiom,
% 5.44/5.71 ! [V0n: tp__ty_2Enum_2Enum,V1m: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ ( ap @ ( ap @ c_2Enumeral_2EiSUB @ c_2Ebool_2ET ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Enumeral_2EiDUB__removal,axiom,
% 5.44/5.71 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enumeral_2EiDUB @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Enumeral_2EiDUB @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) )
% 5.44/5.71 & ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enumeral_2EiDUB @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) )
% 5.44/5.71 & ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enumeral_2EiDUB @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) )
% 5.44/5.71 = fo__c_2Earithmetic_2EZERO ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Enumeral_2Enumeral__mult,axiom,
% 5.44/5.71 ! [V0n: tp__ty_2Enum_2Enum,V1m: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.71 = fo__c_2Earithmetic_2EZERO )
% 5.44/5.71 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) )
% 5.44/5.71 = fo__c_2Earithmetic_2EZERO )
% 5.44/5.71 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enumeral_2EiZ @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Enumeral_2EiDUB @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) ) )
% 5.44/5.71 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enumeral_2EiDUB @ ( ap @ c_2Enumeral_2EiZ @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(ax_thm_2Enumeral_2EiSQR,axiom,
% 5.44/5.71 ! [V0x: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enumeral_2EiSQR @ ( inj__ty_2Enum_2Enum @ V0x ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( inj__ty_2Enum_2Enum @ V0x ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Enumeral_2Enumeral__exp,axiom,
% 5.44/5.71 ( ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) )
% 5.44/5.71 & ! [V1n: tp__ty_2Enum_2Enum,V2m: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V2m ) ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ c_2Enumeral_2EiSQR @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V2m ) ) ) ) ) )
% 5.44/5.71 & ! [V3n: tp__ty_2Enum_2Enum,V4m: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( inj__ty_2Enum_2Enum @ V3n ) ) @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V4m ) ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ c_2Enumeral_2EiSQR @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) @ ( ap @ c_2Enumeral_2EiSQR @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( inj__ty_2Enum_2Enum @ V3n ) ) @ ( inj__ty_2Enum_2Enum @ V4m ) ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Enumeral_2Enumeral__evenodd,axiom,
% 5.44/5.71 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( p @ ( ap @ c_2Earithmetic_2EEVEN @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) )
% 5.44/5.71 & ( p @ ( ap @ c_2Earithmetic_2EEVEN @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) )
% 5.44/5.71 & ~ ( p @ ( ap @ c_2Earithmetic_2EEVEN @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) )
% 5.44/5.71 & ~ ( p @ ( ap @ c_2Earithmetic_2EODD @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) )
% 5.44/5.71 & ~ ( p @ ( ap @ c_2Earithmetic_2EODD @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) )
% 5.44/5.71 & ( p @ ( ap @ c_2Earithmetic_2EODD @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Enumeral_2Enumeral__fact,axiom,
% 5.44/5.71 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2EFACT @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.44/5.71 & ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2EFACT @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) @ ( ap @ c_2Earithmetic_2EFACT @ ( ap @ c_2Eprim__rec_2EPRE @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) ) ) )
% 5.44/5.71 & ! [V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2EFACT @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) @ ( ap @ c_2Earithmetic_2EFACT @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Enumeral_2Enumeral__funpow,axiom,
% 5.44/5.71 ! [A_27a: del,V0f: $i] :
% 5.44/5.71 ( ( mem @ V0f @ ( arr @ A_27a @ A_27a ) )
% 5.44/5.71 => ! [V1x: $i] :
% 5.44/5.71 ( ( mem @ V1x @ A_27a )
% 5.44/5.71 => ! [V2n: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( ( ap @ ( ap @ ( ap @ ( c_2Earithmetic_2EFUNPOW @ A_27a ) @ V0f ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ V1x )
% 5.44/5.71 = V1x )
% 5.44/5.71 & ( ( ap @ ( ap @ ( ap @ ( c_2Earithmetic_2EFUNPOW @ A_27a ) @ V0f ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) @ V1x )
% 5.44/5.71 = ( ap @ ( ap @ ( ap @ ( c_2Earithmetic_2EFUNPOW @ A_27a ) @ V0f ) @ ( ap @ c_2Eprim__rec_2EPRE @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) ) @ ( ap @ V0f @ V1x ) ) )
% 5.44/5.71 & ( ( ap @ ( ap @ ( ap @ ( c_2Earithmetic_2EFUNPOW @ A_27a ) @ V0f ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) @ V1x )
% 5.44/5.71 = ( ap @ ( ap @ ( ap @ ( c_2Earithmetic_2EFUNPOW @ A_27a ) @ V0f ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) @ ( ap @ V0f @ V1x ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Enumeral_2Enumeral__MIN,axiom,
% 5.44/5.71 ! [V0x: tp__ty_2Enum_2Enum,V1y: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMIN @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0x ) ) )
% 5.44/5.71 = fo__c_2Enum_2E0 )
% 5.44/5.71 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMIN @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.44/5.71 = fo__c_2Enum_2E0 )
% 5.44/5.71 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMIN @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V0x ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V1y ) ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( inj__ty_2Enum_2Enum @ V1y ) ) ) @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( inj__ty_2Enum_2Enum @ V1y ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Enumeral_2Enumeral__MAX,axiom,
% 5.44/5.71 ! [V0x: tp__ty_2Enum_2Enum,V1y: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMAX @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0x ) ) )
% 5.44/5.71 = V0x )
% 5.44/5.71 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMAX @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.44/5.71 = V0x )
% 5.44/5.71 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMAX @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V0x ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V1y ) ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( inj__ty_2Enum_2Enum @ V1y ) ) ) @ ( inj__ty_2Enum_2Enum @ V1y ) ) @ ( inj__ty_2Enum_2Enum @ V0x ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Enumeral_2Edivmod__POS,axiom,
% 5.44/5.71 ! [V0a: tp__ty_2Enum_2Enum,V1m: tp__ty_2Enum_2Enum,V2n: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) )
% 5.44/5.71 => ( ( surj__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2EDIVMOD @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) )
% 5.44/5.71 = ( surj__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum
% 5.44/5.71 @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) )
% 5.44/5.71 @ ( ap
% 5.44/5.71 @ ( ap @ ( c_2Ebool_2ELET @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.44/5.71 @ ( lam @ ty_2Enum_2Enum
% 5.44/5.71 @ ^ [V3q: $i] : ( ap @ c_2Earithmetic_2EDIVMOD @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ V3q ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ V3q ) ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) ) )
% 5.44/5.71 @ ( ap @ c_2Earithmetic_2Efindq @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Enumeral_2EDIVMOD__NUMERAL__CALC,axiom,
% 5.44/5.71 ( ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Epair_2EFST @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( ap @ c_2Earithmetic_2EDIVMOD @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ) ) ) )
% 5.44/5.71 & ! [V2m: tp__ty_2Enum_2Enum,V3n: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( inj__ty_2Enum_2Enum @ V2m ) ) @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Epair_2EFST @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( ap @ c_2Earithmetic_2EDIVMOD @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V2m ) ) @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) ) ) ) ) )
% 5.44/5.71 & ! [V4m: tp__ty_2Enum_2Enum,V5n: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V4m ) ) @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V5n ) ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Epair_2ESND @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( ap @ c_2Earithmetic_2EDIVMOD @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V4m ) ) @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V5n ) ) ) ) ) ) ) )
% 5.44/5.71 & ! [V6m: tp__ty_2Enum_2Enum,V7n: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V6m ) ) @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V7n ) ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Epair_2ESND @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( ap @ c_2Earithmetic_2EDIVMOD @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V6m ) ) @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V7n ) ) ) ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Enumeral_2Enumeral__div2,axiom,
% 5.44/5.71 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2EDIV2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.44/5.71 = fo__c_2Enum_2E0 )
% 5.44/5.71 & ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2EDIV2 @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) )
% 5.44/5.71 & ! [V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2EDIV2 @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(ax_thm_2Enumeral_2Etexp__help__def,axiom,
% 5.44/5.71 ( ! [V0acc: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Enumeral_2Etexp__help @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0acc ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V0acc ) ) ) )
% 5.44/5.71 & ! [V1n: tp__ty_2Enum_2Enum,V2acc: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Enumeral_2Etexp__help @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ ( inj__ty_2Enum_2Enum @ V2acc ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Enumeral_2Etexp__help @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V2acc ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Enumeral_2Etexp__help__thm,axiom,
% 5.44/5.71 ! [V0n: tp__ty_2Enum_2Enum,V1a: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Enumeral_2Etexp__help @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1a ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1a ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Enumeral_2Etexp__help0,axiom,
% 5.44/5.71 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Enumeral_2Etexp__help @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Enumeral_2Enumeral__texp__help,axiom,
% 5.44/5.71 ! [V0acc: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Enumeral_2Etexp__help @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) @ ( inj__ty_2Enum_2Enum @ V0acc ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V0acc ) ) ) )
% 5.44/5.71 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Enumeral_2Etexp__help @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ ( inj__ty_2Enum_2Enum @ V0acc ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Enumeral_2Etexp__help @ ( ap @ c_2Eprim__rec_2EPRE @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V0acc ) ) ) ) )
% 5.44/5.71 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Enumeral_2Etexp__help @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ ( inj__ty_2Enum_2Enum @ V0acc ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Enumeral_2Etexp__help @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V0acc ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Enumeral_2ETWO__EXP__THM,axiom,
% 5.44/5.71 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.44/5.71 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ ( ap @ c_2Enumeral_2Etexp__help @ ( ap @ c_2Eprim__rec_2EPRE @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.44/5.71 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ ( ap @ c_2Enumeral_2Etexp__help @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(ax_thm_2Enumeral_2Eonecount__def,axiom,
% 5.44/5.71 ( ! [V0x: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Enumeral_2Eonecount @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) @ ( inj__ty_2Enum_2Enum @ V0x ) ) )
% 5.44/5.71 = V0x )
% 5.44/5.71 & ! [V1n: tp__ty_2Enum_2Enum,V2x: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Enumeral_2Eonecount @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ ( inj__ty_2Enum_2Enum @ V2x ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Enumeral_2Eonecount @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V2x ) ) ) ) )
% 5.44/5.71 & ! [V3n: tp__ty_2Enum_2Enum,V4x: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Enumeral_2Eonecount @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) @ ( inj__ty_2Enum_2Enum @ V4x ) ) )
% 5.44/5.71 = fo__c_2Earithmetic_2EZERO ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(ax_thm_2Enumeral_2Eexactlog__def,axiom,
% 5.44/5.71 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enumeral_2Eexactlog @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) )
% 5.44/5.71 = fo__c_2Earithmetic_2EZERO )
% 5.44/5.71 & ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enumeral_2Eexactlog @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) )
% 5.44/5.71 = fo__c_2Earithmetic_2EZERO )
% 5.44/5.71 & ! [V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enumeral_2Eexactlog @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum
% 5.44/5.71 @ ( ap
% 5.44/5.71 @ ( ap @ ( c_2Ebool_2ELET @ ty_2Enum_2Enum @ ty_2Enum_2Enum )
% 5.44/5.71 @ ( lam @ ty_2Enum_2Enum
% 5.44/5.71 @ ^ [V2x: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ V2x ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) @ ( ap @ c_2Earithmetic_2EBIT1 @ V2x ) ) ) )
% 5.44/5.71 @ ( ap @ ( ap @ c_2Enumeral_2Eonecount @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Enumeral_2Eonecount__characterisation,axiom,
% 5.44/5.71 ! [V0n: tp__ty_2Enum_2Enum,V1a: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ ( ap @ c_2Enumeral_2Eonecount @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1a ) ) ) )
% 5.44/5.71 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) )
% 5.44/5.71 => ( V0n
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ ( ap @ c_2Enumeral_2Eonecount @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1a ) ) ) @ ( inj__ty_2Enum_2Enum @ V1a ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Enumeral_2Eexactlog__characterisation,axiom,
% 5.44/5.71 ! [V0n: tp__ty_2Enum_2Enum,V1m: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enumeral_2Eexactlog @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) )
% 5.44/5.71 => ( V0n
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(ax_thm_2Enumeral_2Einternal__mult__def,axiom,
% 5.44/5.71 c_2Enumeral_2Einternal__mult = c_2Earithmetic_2E_2A ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Enumeral_2EDIV2__BIT1,axiom,
% 5.44/5.71 ! [V0x: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2EDIV2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V0x ) ) ) )
% 5.44/5.71 = V0x ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Enumeral_2Eenumeral__mult,axiom,
% 5.44/5.71 ! [V0n: tp__ty_2Enum_2Enum,V1x: tp__ty_2Enum_2Enum,V2y: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.71 = fo__c_2Earithmetic_2EZERO )
% 5.44/5.71 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) )
% 5.44/5.71 = fo__c_2Earithmetic_2EZERO )
% 5.44/5.71 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V2y ) ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Enumeral_2Einternal__mult @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V2y ) ) ) ) )
% 5.44/5.71 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V2y ) ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum
% 5.44/5.71 @ ( ap
% 5.44/5.71 @ ( ap @ ( c_2Ebool_2ELET @ ty_2Enum_2Enum @ ty_2Enum_2Enum )
% 5.44/5.71 @ ( lam @ ty_2Enum_2Enum
% 5.44/5.71 @ ^ [V3n: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ c_2Earithmetic_2EODD @ V3n ) ) @ ( ap @ ( ap @ c_2Enumeral_2Etexp__help @ ( ap @ c_2Earithmetic_2EDIV2 @ V3n ) ) @ ( ap @ c_2Eprim__rec_2EPRE @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) ) ) @ ( ap @ ( ap @ c_2Enumeral_2Einternal__mult @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V2y ) ) ) ) ) )
% 5.44/5.71 @ ( ap @ c_2Enumeral_2Eexactlog @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V2y ) ) ) ) ) )
% 5.44/5.71 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V2y ) ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum
% 5.44/5.71 @ ( ap
% 5.44/5.71 @ ( ap @ ( c_2Ebool_2ELET @ ty_2Enum_2Enum @ ty_2Enum_2Enum )
% 5.44/5.71 @ ( lam @ ty_2Enum_2Enum
% 5.44/5.71 @ ^ [V4m: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ c_2Earithmetic_2EODD @ V4m ) ) @ ( ap @ ( ap @ c_2Enumeral_2Etexp__help @ ( ap @ c_2Earithmetic_2EDIV2 @ V4m ) ) @ ( ap @ c_2Eprim__rec_2EPRE @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V2y ) ) ) ) ) @ ( ap @ ( ap @ c_2Enumeral_2Einternal__mult @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V2y ) ) ) ) ) )
% 5.44/5.71 @ ( ap @ c_2Enumeral_2Eexactlog @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) ) ) )
% 5.44/5.71 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V2y ) ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum
% 5.44/5.71 @ ( ap
% 5.44/5.71 @ ( ap @ ( c_2Ebool_2ELET @ ty_2Enum_2Enum @ ty_2Enum_2Enum )
% 5.44/5.71 @ ( lam @ ty_2Enum_2Enum
% 5.44/5.71 @ ^ [V5m: $i] :
% 5.44/5.71 ( ap
% 5.44/5.71 @ ( ap @ ( c_2Ebool_2ELET @ ty_2Enum_2Enum @ ty_2Enum_2Enum )
% 5.44/5.71 @ ( lam @ ty_2Enum_2Enum
% 5.44/5.71 @ ^ [V6n: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ c_2Earithmetic_2EODD @ V5m ) ) @ ( ap @ ( ap @ c_2Enumeral_2Etexp__help @ ( ap @ c_2Earithmetic_2EDIV2 @ V5m ) ) @ ( ap @ c_2Eprim__rec_2EPRE @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V2y ) ) ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ c_2Earithmetic_2EODD @ V6n ) ) @ ( ap @ ( ap @ c_2Enumeral_2Etexp__help @ ( ap @ c_2Earithmetic_2EDIV2 @ V6n ) ) @ ( ap @ c_2Eprim__rec_2EPRE @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) ) ) @ ( ap @ ( ap @ c_2Enumeral_2Einternal__mult @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V2y ) ) ) ) ) ) )
% 5.44/5.71 @ ( ap @ c_2Enumeral_2Eexactlog @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V2y ) ) ) ) ) )
% 5.44/5.71 @ ( ap @ c_2Enumeral_2Eexactlog @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Enumeral_2Einternal__mult__characterisation,axiom,
% 5.44/5.71 ! [V0n: tp__ty_2Enum_2Enum,V1m: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Enumeral_2Einternal__mult @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.71 = fo__c_2Earithmetic_2EZERO )
% 5.44/5.71 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Enumeral_2Einternal__mult @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) )
% 5.44/5.71 = fo__c_2Earithmetic_2EZERO )
% 5.44/5.71 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Enumeral_2Einternal__mult @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enumeral_2EiZ @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Enumeral_2EiDUB @ ( ap @ ( ap @ c_2Enumeral_2Einternal__mult @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) ) )
% 5.44/5.71 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Enumeral_2Einternal__mult @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enumeral_2EiDUB @ ( ap @ c_2Enumeral_2EiZ @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ c_2Enumeral_2Einternal__mult @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 %------------------------------------------------------------------------------
% 5.44/5.71 %------------------------------------------------------------------------------
% 5.44/5.71 thf(tp_c_2Edivides_2EPRIMES,type,
% 5.44/5.71 c_2Edivides_2EPRIMES: $i ).
% 5.44/5.71
% 5.44/5.71 thf(mem_c_2Edivides_2EPRIMES,axiom,
% 5.44/5.71 mem @ c_2Edivides_2EPRIMES @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ).
% 5.44/5.71
% 5.44/5.71 thf(stp_fo_c_2Edivides_2EPRIMES,type,
% 5.44/5.71 fo__c_2Edivides_2EPRIMES: tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum ).
% 5.44/5.71
% 5.44/5.71 thf(stp_eq_fo_c_2Edivides_2EPRIMES,axiom,
% 5.44/5.71 ! [X0: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( inj__ty_2Enum_2Enum @ ( fo__c_2Edivides_2EPRIMES @ X0 ) )
% 5.44/5.71 = ( ap @ c_2Edivides_2EPRIMES @ ( inj__ty_2Enum_2Enum @ X0 ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(tp_c_2Edivides_2Edivides,type,
% 5.44/5.71 c_2Edivides_2Edivides: $i ).
% 5.44/5.71
% 5.44/5.71 thf(mem_c_2Edivides_2Edivides,axiom,
% 5.44/5.71 mem @ c_2Edivides_2Edivides @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ bool ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(tp_c_2Edivides_2Eprime,type,
% 5.44/5.71 c_2Edivides_2Eprime: $i ).
% 5.44/5.71
% 5.44/5.71 thf(mem_c_2Edivides_2Eprime,axiom,
% 5.44/5.71 mem @ c_2Edivides_2Eprime @ ( arr @ ty_2Enum_2Enum @ bool ) ).
% 5.44/5.71
% 5.44/5.71 thf(ax_thm_2Edivides_2Edivides__def,axiom,
% 5.44/5.71 ! [V0a: tp__ty_2Enum_2Enum,V1b: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( p @ ( ap @ ( ap @ c_2Edivides_2Edivides @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) )
% 5.44/5.71 <=> ? [V2q: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( V1b
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V2q ) ) @ ( inj__ty_2Enum_2Enum @ V0a ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Edivides_2EALL__DIVIDES__0,axiom,
% 5.44/5.71 ! [V0a: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ c_2Edivides_2Edivides @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Edivides_2EZERO__DIVIDES,axiom,
% 5.44/5.71 ! [V0m: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( p @ ( ap @ ( ap @ c_2Edivides_2Edivides @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) )
% 5.44/5.71 <=> ( V0m = fo__c_2Enum_2E0 ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Edivides_2EDIVIDES__REFL,axiom,
% 5.44/5.71 ! [V0a: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ c_2Edivides_2Edivides @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( inj__ty_2Enum_2Enum @ V0a ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Edivides_2EDIVIDES__TRANS,axiom,
% 5.44/5.71 ! [V0a: tp__ty_2Enum_2Enum,V1b: tp__ty_2Enum_2Enum,V2c: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( ( p @ ( ap @ ( ap @ c_2Edivides_2Edivides @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) )
% 5.44/5.71 & ( p @ ( ap @ ( ap @ c_2Edivides_2Edivides @ ( inj__ty_2Enum_2Enum @ V1b ) ) @ ( inj__ty_2Enum_2Enum @ V2c ) ) ) )
% 5.44/5.71 => ( p @ ( ap @ ( ap @ c_2Edivides_2Edivides @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( inj__ty_2Enum_2Enum @ V2c ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Edivides_2EONE__DIVIDES__ALL,axiom,
% 5.44/5.71 ! [V0a: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ c_2Edivides_2Edivides @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0a ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Edivides_2EDIVIDES__ONE,axiom,
% 5.44/5.71 ! [V0x: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( p @ ( ap @ ( ap @ c_2Edivides_2Edivides @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.44/5.71 <=> ( V0x
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Edivides_2EDIVIDES__ADD__1,axiom,
% 5.44/5.71 ! [V0a: tp__ty_2Enum_2Enum,V1b: tp__ty_2Enum_2Enum,V2c: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( ( p @ ( ap @ ( ap @ c_2Edivides_2Edivides @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) )
% 5.44/5.71 & ( p @ ( ap @ ( ap @ c_2Edivides_2Edivides @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( inj__ty_2Enum_2Enum @ V2c ) ) ) )
% 5.44/5.71 => ( p @ ( ap @ ( ap @ c_2Edivides_2Edivides @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1b ) ) @ ( inj__ty_2Enum_2Enum @ V2c ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Edivides_2EDIVIDES__ADD__2,axiom,
% 5.44/5.71 ! [V0a: tp__ty_2Enum_2Enum,V1b: tp__ty_2Enum_2Enum,V2c: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( ( p @ ( ap @ ( ap @ c_2Edivides_2Edivides @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) )
% 5.44/5.71 & ( p @ ( ap @ ( ap @ c_2Edivides_2Edivides @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1b ) ) @ ( inj__ty_2Enum_2Enum @ V2c ) ) ) ) )
% 5.44/5.71 => ( p @ ( ap @ ( ap @ c_2Edivides_2Edivides @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( inj__ty_2Enum_2Enum @ V2c ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Edivides_2EDIVIDES__SUB,axiom,
% 5.44/5.71 ! [V0a: tp__ty_2Enum_2Enum,V1b: tp__ty_2Enum_2Enum,V2c: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( ( p @ ( ap @ ( ap @ c_2Edivides_2Edivides @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) )
% 5.44/5.71 & ( p @ ( ap @ ( ap @ c_2Edivides_2Edivides @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( inj__ty_2Enum_2Enum @ V2c ) ) ) )
% 5.44/5.71 => ( p @ ( ap @ ( ap @ c_2Edivides_2Edivides @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V1b ) ) @ ( inj__ty_2Enum_2Enum @ V2c ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Edivides_2EDIVIDES__LE,axiom,
% 5.44/5.71 ! [V0a: tp__ty_2Enum_2Enum,V1b: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) )
% 5.44/5.71 & ( p @ ( ap @ ( ap @ c_2Edivides_2Edivides @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) ) )
% 5.44/5.71 => ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Edivides_2EDIVIDES__LEQ__OR__ZERO,axiom,
% 5.44/5.71 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( p @ ( ap @ ( ap @ c_2Edivides_2Edivides @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.71 => ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.71 | ( V1n = fo__c_2Enum_2E0 ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Edivides_2ENOT__LT__DIVIDES,axiom,
% 5.44/5.71 ! [V0a: tp__ty_2Enum_2Enum,V1b: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) )
% 5.44/5.71 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1b ) ) @ ( inj__ty_2Enum_2Enum @ V0a ) ) ) )
% 5.44/5.71 => ~ ( p @ ( ap @ ( ap @ c_2Edivides_2Edivides @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Edivides_2EDIVIDES__ANTISYM,axiom,
% 5.44/5.71 ! [V0a: tp__ty_2Enum_2Enum,V1b: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( ( p @ ( ap @ ( ap @ c_2Edivides_2Edivides @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) )
% 5.44/5.71 & ( p @ ( ap @ ( ap @ c_2Edivides_2Edivides @ ( inj__ty_2Enum_2Enum @ V1b ) ) @ ( inj__ty_2Enum_2Enum @ V0a ) ) ) )
% 5.44/5.71 => ( V0a = V1b ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Edivides_2EDIVIDES__MULT,axiom,
% 5.44/5.71 ! [V0a: tp__ty_2Enum_2Enum,V1b: tp__ty_2Enum_2Enum,V2c: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( p @ ( ap @ ( ap @ c_2Edivides_2Edivides @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) )
% 5.44/5.71 => ( p @ ( ap @ ( ap @ c_2Edivides_2Edivides @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V1b ) ) @ ( inj__ty_2Enum_2Enum @ V2c ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Edivides_2EDIVIDES__MULT__LEFT,axiom,
% 5.44/5.71 ! [V0n: tp__ty_2Enum_2Enum,V1m: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( p @ ( ap @ ( ap @ c_2Edivides_2Edivides @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) )
% 5.44/5.71 <=> ( ( V1m = fo__c_2Enum_2E0 )
% 5.44/5.71 | ( V0n
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Edivides_2EDIVIDES__FACT,axiom,
% 5.44/5.71 ! [V0b: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0b ) ) )
% 5.44/5.71 => ( p @ ( ap @ ( ap @ c_2Edivides_2Edivides @ ( inj__ty_2Enum_2Enum @ V0b ) ) @ ( ap @ c_2Earithmetic_2EFACT @ ( inj__ty_2Enum_2Enum @ V0b ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Edivides_2ELEQ__DIVIDES__FACT,axiom,
% 5.44/5.71 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) )
% 5.44/5.71 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.44/5.71 => ( p @ ( ap @ ( ap @ c_2Edivides_2Edivides @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( ap @ c_2Earithmetic_2EFACT @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(ax_thm_2Edivides_2Eprime__def,axiom,
% 5.44/5.71 ! [V0a: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( p @ ( ap @ c_2Edivides_2Eprime @ ( inj__ty_2Enum_2Enum @ V0a ) ) )
% 5.44/5.71 <=> ( ( V0a
% 5.44/5.71 != ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.44/5.71 & ! [V1b: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( p @ ( ap @ ( ap @ c_2Edivides_2Edivides @ ( inj__ty_2Enum_2Enum @ V1b ) ) @ ( inj__ty_2Enum_2Enum @ V0a ) ) )
% 5.44/5.71 => ( ( V1b = V0a )
% 5.44/5.71 | ( V1b
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Edivides_2ENOT__PRIME__0,axiom,
% 5.44/5.71 ~ ( p @ ( ap @ c_2Edivides_2Eprime @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Edivides_2ENOT__PRIME__1,axiom,
% 5.44/5.71 ~ ( p @ ( ap @ c_2Edivides_2Eprime @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Edivides_2EPRIME__2,axiom,
% 5.44/5.71 p @ ( ap @ c_2Edivides_2Eprime @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Edivides_2EPRIME__3,axiom,
% 5.44/5.71 p @ ( ap @ c_2Edivides_2Eprime @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Edivides_2EPRIME__POS,axiom,
% 5.44/5.71 ! [V0p: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( p @ ( ap @ c_2Edivides_2Eprime @ ( inj__ty_2Enum_2Enum @ V0p ) ) )
% 5.44/5.71 => ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0p ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Edivides_2EONE__LT__PRIME,axiom,
% 5.44/5.71 ! [V0p: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( p @ ( ap @ c_2Edivides_2Eprime @ ( inj__ty_2Enum_2Enum @ V0p ) ) )
% 5.44/5.71 => ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0p ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Edivides_2Eprime__divides__only__self,axiom,
% 5.44/5.71 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( ( p @ ( ap @ c_2Edivides_2Eprime @ ( inj__ty_2Enum_2Enum @ V0m ) ) )
% 5.44/5.71 & ( p @ ( ap @ c_2Edivides_2Eprime @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.71 & ( p @ ( ap @ ( ap @ c_2Edivides_2Edivides @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.44/5.71 => ( V0m = V1n ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Edivides_2EPRIME__FACTOR,axiom,
% 5.44/5.71 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( V0n
% 5.44/5.71 != ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.44/5.71 => ? [V1p: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( p @ ( ap @ c_2Edivides_2Eprime @ ( inj__ty_2Enum_2Enum @ V1p ) ) )
% 5.44/5.71 & ( p @ ( ap @ ( ap @ c_2Edivides_2Edivides @ ( inj__ty_2Enum_2Enum @ V1p ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Edivides_2EEUCLID,axiom,
% 5.44/5.71 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ? [V1p: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1p ) ) )
% 5.44/5.71 & ( p @ ( ap @ c_2Edivides_2Eprime @ ( inj__ty_2Enum_2Enum @ V1p ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(ax_thm_2Edivides_2EPRIMES__def,axiom,
% 5.44/5.71 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Edivides_2EPRIMES @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.44/5.71 & ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Edivides_2EPRIMES @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum
% 5.44/5.71 @ ( ap @ c_2Ewhile_2ELEAST
% 5.44/5.71 @ ( lam @ ty_2Enum_2Enum
% 5.44/5.71 @ ^ [V1p: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ c_2Edivides_2Eprime @ V1p ) ) @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Edivides_2EPRIMES @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ V1p ) ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Edivides_2EprimePRIMES,axiom,
% 5.44/5.71 ! [V0n: tp__ty_2Enum_2Enum] : ( p @ ( ap @ c_2Edivides_2Eprime @ ( ap @ c_2Edivides_2EPRIMES @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Edivides_2EINFINITE__PRIMES,axiom,
% 5.44/5.71 ! [V0n: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Edivides_2EPRIMES @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( ap @ c_2Edivides_2EPRIMES @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Edivides_2ELT__PRIMES,axiom,
% 5.44/5.71 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.71 => ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Edivides_2EPRIMES @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) @ ( ap @ c_2Edivides_2EPRIMES @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Edivides_2EPRIMES__11,axiom,
% 5.44/5.71 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Edivides_2EPRIMES @ ( inj__ty_2Enum_2Enum @ V0m ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Edivides_2EPRIMES @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.44/5.71 => ( V0m = V1n ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Edivides_2EINDEX__LESS__PRIMES,axiom,
% 5.44/5.71 ! [V0n: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ c_2Edivides_2EPRIMES @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Edivides_2EEUCLID__PRIMES,axiom,
% 5.44/5.71 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ? [V1i: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ c_2Edivides_2EPRIMES @ ( inj__ty_2Enum_2Enum @ V1i ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Edivides_2ENEXT__LARGER__PRIME,axiom,
% 5.44/5.71 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ? [V1i: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ c_2Edivides_2EPRIMES @ ( inj__ty_2Enum_2Enum @ V1i ) ) ) )
% 5.44/5.71 & ! [V2j: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V2j ) ) @ ( inj__ty_2Enum_2Enum @ V1i ) ) )
% 5.44/5.71 => ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Edivides_2EPRIMES @ ( inj__ty_2Enum_2Enum @ V2j ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Edivides_2EPRIMES__NO__GAP,axiom,
% 5.44/5.71 ! [V0n: tp__ty_2Enum_2Enum,V1p: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Edivides_2EPRIMES @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( inj__ty_2Enum_2Enum @ V1p ) ) )
% 5.44/5.71 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1p ) ) @ ( ap @ c_2Edivides_2EPRIMES @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) )
% 5.44/5.71 & ( p @ ( ap @ c_2Edivides_2Eprime @ ( inj__ty_2Enum_2Enum @ V1p ) ) ) )
% 5.44/5.71 => $false ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Edivides_2EPRIMES__ONTO,axiom,
% 5.44/5.71 ! [V0p: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( p @ ( ap @ c_2Edivides_2Eprime @ ( inj__ty_2Enum_2Enum @ V0p ) ) )
% 5.44/5.71 => ? [V1i: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Edivides_2EPRIMES @ ( inj__ty_2Enum_2Enum @ V1i ) ) )
% 5.44/5.71 = V0p ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Edivides_2EPRIME__INDEX,axiom,
% 5.44/5.71 ! [V0p: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( p @ ( ap @ c_2Edivides_2Eprime @ ( inj__ty_2Enum_2Enum @ V0p ) ) )
% 5.44/5.71 <=> ? [V1i: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( V0p
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Edivides_2EPRIMES @ ( inj__ty_2Enum_2Enum @ V1i ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Edivides_2EONE__LT__PRIMES,axiom,
% 5.44/5.71 ! [V0n: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ c_2Edivides_2EPRIMES @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Edivides_2EZERO__LT__PRIMES,axiom,
% 5.44/5.71 ! [V0n: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ c_2Edivides_2EPRIMES @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Edivides_2Ecompute__divides,axiom,
% 5.44/5.71 ! [V0a: tp__ty_2Enum_2Enum,V1b: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( p @ ( ap @ ( ap @ c_2Edivides_2Edivides @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) )
% 5.44/5.71 <=> ( p @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ bool ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ bool ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ c_2Ebool_2ET ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ bool ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) @ c_2Ebool_2ET ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V1b ) ) @ ( inj__ty_2Enum_2Enum @ V0a ) ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 %------------------------------------------------------------------------------
% 5.44/5.71 %------------------------------------------------------------------------------
% 5.44/5.71 thf(tp_ty_2Eind__type_2Erecspace,type,
% 5.44/5.71 ty_2Eind__type_2Erecspace: del > del ).
% 5.44/5.71
% 5.44/5.71 thf(tp_c_2Eind__type_2EBOTTOM,type,
% 5.44/5.71 c_2Eind__type_2EBOTTOM: del > $i ).
% 5.44/5.71
% 5.44/5.71 thf(mem_c_2Eind__type_2EBOTTOM,axiom,
% 5.44/5.71 ! [A_27a: del] : ( mem @ ( c_2Eind__type_2EBOTTOM @ A_27a ) @ ( ty_2Eind__type_2Erecspace @ A_27a ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(tp_c_2Eind__type_2ECONSTR,type,
% 5.44/5.71 c_2Eind__type_2ECONSTR: del > $i ).
% 5.44/5.71
% 5.44/5.71 thf(mem_c_2Eind__type_2ECONSTR,axiom,
% 5.44/5.71 ! [A_27a: del] : ( mem @ ( c_2Eind__type_2ECONSTR @ A_27a ) @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ ( arr @ ( arr @ ty_2Enum_2Enum @ ( ty_2Eind__type_2Erecspace @ A_27a ) ) @ ( ty_2Eind__type_2Erecspace @ A_27a ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(tp_c_2Eind__type_2EFCONS,type,
% 5.44/5.71 c_2Eind__type_2EFCONS: del > $i ).
% 5.44/5.71
% 5.44/5.71 thf(mem_c_2Eind__type_2EFCONS,axiom,
% 5.44/5.71 ! [A_27a: del] : ( mem @ ( c_2Eind__type_2EFCONS @ A_27a ) @ ( arr @ A_27a @ ( arr @ ( arr @ ty_2Enum_2Enum @ A_27a ) @ ( arr @ ty_2Enum_2Enum @ A_27a ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(tp_c_2Eind__type_2EFNIL,type,
% 5.44/5.71 c_2Eind__type_2EFNIL: del > $i ).
% 5.44/5.71
% 5.44/5.71 thf(mem_c_2Eind__type_2EFNIL,axiom,
% 5.44/5.71 ! [A_27a: del] : ( mem @ ( c_2Eind__type_2EFNIL @ A_27a ) @ ( arr @ ty_2Enum_2Enum @ A_27a ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(tp_c_2Eind__type_2EINJA,type,
% 5.44/5.71 c_2Eind__type_2EINJA: del > $i ).
% 5.44/5.71
% 5.44/5.71 thf(mem_c_2Eind__type_2EINJA,axiom,
% 5.44/5.71 ! [A_27a: del] : ( mem @ ( c_2Eind__type_2EINJA @ A_27a ) @ ( arr @ A_27a @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ bool ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(tp_c_2Eind__type_2EINJF,type,
% 5.44/5.71 c_2Eind__type_2EINJF: del > $i ).
% 5.44/5.71
% 5.44/5.71 thf(mem_c_2Eind__type_2EINJF,axiom,
% 5.44/5.71 ! [A_27a: del] : ( mem @ ( c_2Eind__type_2EINJF @ A_27a ) @ ( arr @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ bool ) ) ) @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ bool ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(tp_c_2Eind__type_2EINJN,type,
% 5.44/5.71 c_2Eind__type_2EINJN: del > $i ).
% 5.44/5.71
% 5.44/5.71 thf(mem_c_2Eind__type_2EINJN,axiom,
% 5.44/5.71 ! [A_27a: del] : ( mem @ ( c_2Eind__type_2EINJN @ A_27a ) @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ bool ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(tp_c_2Eind__type_2EINJP,type,
% 5.44/5.71 c_2Eind__type_2EINJP: del > $i ).
% 5.44/5.71
% 5.44/5.71 thf(mem_c_2Eind__type_2EINJP,axiom,
% 5.44/5.71 ! [A_27a: del] : ( mem @ ( c_2Eind__type_2EINJP @ A_27a ) @ ( arr @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ bool ) ) @ ( arr @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ bool ) ) @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ bool ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(tp_c_2Eind__type_2EISO,type,
% 5.44/5.71 c_2Eind__type_2EISO: del > del > $i ).
% 5.44/5.71
% 5.44/5.71 thf(mem_c_2Eind__type_2EISO,axiom,
% 5.44/5.71 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Eind__type_2EISO @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27b @ A_27a ) @ bool ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(tp_c_2Eind__type_2ENUMFST,type,
% 5.44/5.71 c_2Eind__type_2ENUMFST: $i ).
% 5.44/5.71
% 5.44/5.71 thf(mem_c_2Eind__type_2ENUMFST,axiom,
% 5.44/5.71 mem @ c_2Eind__type_2ENUMFST @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ).
% 5.44/5.71
% 5.44/5.71 thf(stp_fo_c_2Eind__type_2ENUMFST,type,
% 5.44/5.71 fo__c_2Eind__type_2ENUMFST: tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum ).
% 5.44/5.71
% 5.44/5.71 thf(stp_eq_fo_c_2Eind__type_2ENUMFST,axiom,
% 5.44/5.71 ! [X0: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( inj__ty_2Enum_2Enum @ ( fo__c_2Eind__type_2ENUMFST @ X0 ) )
% 5.44/5.71 = ( ap @ c_2Eind__type_2ENUMFST @ ( inj__ty_2Enum_2Enum @ X0 ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(tp_c_2Eind__type_2ENUMLEFT,type,
% 5.44/5.71 c_2Eind__type_2ENUMLEFT: $i ).
% 5.44/5.71
% 5.44/5.71 thf(mem_c_2Eind__type_2ENUMLEFT,axiom,
% 5.44/5.71 mem @ c_2Eind__type_2ENUMLEFT @ ( arr @ ty_2Enum_2Enum @ bool ) ).
% 5.44/5.71
% 5.44/5.71 thf(tp_c_2Eind__type_2ENUMPAIR,type,
% 5.44/5.71 c_2Eind__type_2ENUMPAIR: $i ).
% 5.44/5.71
% 5.44/5.71 thf(mem_c_2Eind__type_2ENUMPAIR,axiom,
% 5.44/5.71 mem @ c_2Eind__type_2ENUMPAIR @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(stp_fo_c_2Eind__type_2ENUMPAIR,type,
% 5.44/5.71 fo__c_2Eind__type_2ENUMPAIR: tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum ).
% 5.44/5.71
% 5.44/5.71 thf(stp_eq_fo_c_2Eind__type_2ENUMPAIR,axiom,
% 5.44/5.71 ! [X0: tp__ty_2Enum_2Enum,X1: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( inj__ty_2Enum_2Enum @ ( fo__c_2Eind__type_2ENUMPAIR @ X0 @ X1 ) )
% 5.44/5.71 = ( ap @ ( ap @ c_2Eind__type_2ENUMPAIR @ ( inj__ty_2Enum_2Enum @ X0 ) ) @ ( inj__ty_2Enum_2Enum @ X1 ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(tp_c_2Eind__type_2ENUMRIGHT,type,
% 5.44/5.71 c_2Eind__type_2ENUMRIGHT: $i ).
% 5.44/5.71
% 5.44/5.71 thf(mem_c_2Eind__type_2ENUMRIGHT,axiom,
% 5.44/5.71 mem @ c_2Eind__type_2ENUMRIGHT @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ).
% 5.44/5.71
% 5.44/5.71 thf(stp_fo_c_2Eind__type_2ENUMRIGHT,type,
% 5.44/5.71 fo__c_2Eind__type_2ENUMRIGHT: tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum ).
% 5.44/5.71
% 5.44/5.71 thf(stp_eq_fo_c_2Eind__type_2ENUMRIGHT,axiom,
% 5.44/5.71 ! [X0: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( inj__ty_2Enum_2Enum @ ( fo__c_2Eind__type_2ENUMRIGHT @ X0 ) )
% 5.44/5.71 = ( ap @ c_2Eind__type_2ENUMRIGHT @ ( inj__ty_2Enum_2Enum @ X0 ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(tp_c_2Eind__type_2ENUMSND,type,
% 5.44/5.71 c_2Eind__type_2ENUMSND: $i ).
% 5.44/5.71
% 5.44/5.71 thf(mem_c_2Eind__type_2ENUMSND,axiom,
% 5.44/5.71 mem @ c_2Eind__type_2ENUMSND @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ).
% 5.44/5.71
% 5.44/5.71 thf(stp_fo_c_2Eind__type_2ENUMSND,type,
% 5.44/5.71 fo__c_2Eind__type_2ENUMSND: tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum ).
% 5.44/5.71
% 5.44/5.71 thf(stp_eq_fo_c_2Eind__type_2ENUMSND,axiom,
% 5.44/5.71 ! [X0: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( inj__ty_2Enum_2Enum @ ( fo__c_2Eind__type_2ENUMSND @ X0 ) )
% 5.44/5.71 = ( ap @ c_2Eind__type_2ENUMSND @ ( inj__ty_2Enum_2Enum @ X0 ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(tp_c_2Eind__type_2ENUMSUM,type,
% 5.44/5.71 c_2Eind__type_2ENUMSUM: $i ).
% 5.44/5.71
% 5.44/5.71 thf(mem_c_2Eind__type_2ENUMSUM,axiom,
% 5.44/5.71 mem @ c_2Eind__type_2ENUMSUM @ ( arr @ bool @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(tp_c_2Eind__type_2EZBOT,type,
% 5.44/5.71 c_2Eind__type_2EZBOT: del > $i ).
% 5.44/5.71
% 5.44/5.71 thf(mem_c_2Eind__type_2EZBOT,axiom,
% 5.44/5.71 ! [A_27a: del] : ( mem @ ( c_2Eind__type_2EZBOT @ A_27a ) @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ bool ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(tp_c_2Eind__type_2EZCONSTR,type,
% 5.44/5.71 c_2Eind__type_2EZCONSTR: del > $i ).
% 5.44/5.71
% 5.44/5.71 thf(mem_c_2Eind__type_2EZCONSTR,axiom,
% 5.44/5.71 ! [A_27a: del] : ( mem @ ( c_2Eind__type_2EZCONSTR @ A_27a ) @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ ( arr @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ bool ) ) ) @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ bool ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(tp_c_2Eind__type_2EZRECSPACE,type,
% 5.44/5.71 c_2Eind__type_2EZRECSPACE: del > $i ).
% 5.44/5.71
% 5.44/5.71 thf(mem_c_2Eind__type_2EZRECSPACE,axiom,
% 5.44/5.71 ! [A_27a: del] : ( mem @ ( c_2Eind__type_2EZRECSPACE @ A_27a ) @ ( arr @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ bool ) ) @ bool ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(tp_c_2Eind__type_2Edest__rec,type,
% 5.44/5.71 c_2Eind__type_2Edest__rec: del > $i ).
% 5.44/5.71
% 5.44/5.71 thf(mem_c_2Eind__type_2Edest__rec,axiom,
% 5.44/5.71 ! [A_27a: del] : ( mem @ ( c_2Eind__type_2Edest__rec @ A_27a ) @ ( arr @ ( ty_2Eind__type_2Erecspace @ A_27a ) @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ bool ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(tp_c_2Eind__type_2Emk__rec,type,
% 5.44/5.71 c_2Eind__type_2Emk__rec: del > $i ).
% 5.44/5.71
% 5.44/5.71 thf(mem_c_2Eind__type_2Emk__rec,axiom,
% 5.44/5.71 ! [A_27a: del] : ( mem @ ( c_2Eind__type_2Emk__rec @ A_27a ) @ ( arr @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ bool ) ) @ ( ty_2Eind__type_2Erecspace @ A_27a ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Eind__type_2EINJ__INVERSE2,axiom,
% 5.44/5.71 ! [A_27A: del,A_27B: del,A_27C: del,V0P: $i] :
% 5.44/5.71 ( ( mem @ V0P @ ( arr @ A_27A @ ( arr @ A_27B @ A_27C ) ) )
% 5.44/5.71 => ( ! [V1x1: $i] :
% 5.44/5.71 ( ( mem @ V1x1 @ A_27A )
% 5.44/5.71 => ! [V2y1: $i] :
% 5.44/5.71 ( ( mem @ V2y1 @ A_27B )
% 5.44/5.71 => ! [V3x2: $i] :
% 5.44/5.71 ( ( mem @ V3x2 @ A_27A )
% 5.44/5.71 => ! [V4y2: $i] :
% 5.44/5.71 ( ( mem @ V4y2 @ A_27B )
% 5.44/5.71 => ( ( ( ap @ ( ap @ V0P @ V1x1 ) @ V2y1 )
% 5.44/5.71 = ( ap @ ( ap @ V0P @ V3x2 ) @ V4y2 ) )
% 5.44/5.71 <=> ( ( V1x1 = V3x2 )
% 5.44/5.71 & ( V2y1 = V4y2 ) ) ) ) ) ) )
% 5.44/5.71 => ? [V5X: $i] :
% 5.44/5.71 ( ( mem @ V5X @ ( arr @ A_27C @ A_27A ) )
% 5.44/5.71 & ? [V6Y: $i] :
% 5.44/5.71 ( ( mem @ V6Y @ ( arr @ A_27C @ A_27B ) )
% 5.44/5.71 & ! [V7x: $i] :
% 5.44/5.71 ( ( mem @ V7x @ A_27A )
% 5.44/5.71 => ! [V8y: $i] :
% 5.44/5.71 ( ( mem @ V8y @ A_27B )
% 5.44/5.71 => ( ( ( ap @ V5X @ ( ap @ ( ap @ V0P @ V7x ) @ V8y ) )
% 5.44/5.71 = V7x )
% 5.44/5.71 & ( ( ap @ V6Y @ ( ap @ ( ap @ V0P @ V7x ) @ V8y ) )
% 5.44/5.71 = V8y ) ) ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(ax_thm_2Eind__type_2ENUMPAIR,axiom,
% 5.44/5.71 ! [V0x: tp__ty_2Enum_2Enum,V1y: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Eind__type_2ENUMPAIR @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( inj__ty_2Enum_2Enum @ V1y ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0x ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1y ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Eind__type_2ENUMPAIR__INJ__LEMMA,axiom,
% 5.44/5.71 ! [V0x1: tp__ty_2Enum_2Enum,V1y1: tp__ty_2Enum_2Enum,V2x2: tp__ty_2Enum_2Enum,V3y2: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Eind__type_2ENUMPAIR @ ( inj__ty_2Enum_2Enum @ V0x1 ) ) @ ( inj__ty_2Enum_2Enum @ V1y1 ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Eind__type_2ENUMPAIR @ ( inj__ty_2Enum_2Enum @ V2x2 ) ) @ ( inj__ty_2Enum_2Enum @ V3y2 ) ) ) )
% 5.44/5.71 => ( V0x1 = V2x2 ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Eind__type_2ENUMPAIR__INJ,axiom,
% 5.44/5.71 ! [V0x1: tp__ty_2Enum_2Enum,V1y1: tp__ty_2Enum_2Enum,V2x2: tp__ty_2Enum_2Enum,V3y2: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Eind__type_2ENUMPAIR @ ( inj__ty_2Enum_2Enum @ V0x1 ) ) @ ( inj__ty_2Enum_2Enum @ V1y1 ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Eind__type_2ENUMPAIR @ ( inj__ty_2Enum_2Enum @ V2x2 ) ) @ ( inj__ty_2Enum_2Enum @ V3y2 ) ) ) )
% 5.44/5.71 <=> ( ( V0x1 = V2x2 )
% 5.44/5.71 & ( V1y1 = V3y2 ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(ax_thm_2Eind__type_2ENUMPAIR__DEST,axiom,
% 5.44/5.71 ! [V0x: tp__ty_2Enum_2Enum,V1y: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Eind__type_2ENUMFST @ ( ap @ ( ap @ c_2Eind__type_2ENUMPAIR @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( inj__ty_2Enum_2Enum @ V1y ) ) ) )
% 5.44/5.71 = V0x )
% 5.44/5.71 & ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Eind__type_2ENUMSND @ ( ap @ ( ap @ c_2Eind__type_2ENUMPAIR @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( inj__ty_2Enum_2Enum @ V1y ) ) ) )
% 5.44/5.71 = V1y ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(ax_thm_2Eind__type_2ENUMSUM,axiom,
% 5.44/5.71 ! [V0b: $i] :
% 5.44/5.71 ( ( mem @ V0b @ bool )
% 5.44/5.71 => ! [V1x: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Eind__type_2ENUMSUM @ V0b ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ V0b ) @ ( ap @ c_2Enum_2ESUC @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Eind__type_2ENUMSUM__INJ,axiom,
% 5.44/5.71 ! [V0b1: $i] :
% 5.44/5.71 ( ( mem @ V0b1 @ bool )
% 5.44/5.71 => ! [V1x1: tp__ty_2Enum_2Enum,V2b2: $i] :
% 5.44/5.71 ( ( mem @ V2b2 @ bool )
% 5.44/5.71 => ! [V3x2: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Eind__type_2ENUMSUM @ V0b1 ) @ ( inj__ty_2Enum_2Enum @ V1x1 ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Eind__type_2ENUMSUM @ V2b2 ) @ ( inj__ty_2Enum_2Enum @ V3x2 ) ) ) )
% 5.44/5.71 <=> ( ( ( p @ V0b1 )
% 5.44/5.71 <=> ( p @ V2b2 ) )
% 5.44/5.71 & ( V1x1 = V3x2 ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(ax_thm_2Eind__type_2ENUMSUM__DEST,axiom,
% 5.44/5.71 ! [V0x: $i] :
% 5.44/5.71 ( ( mem @ V0x @ bool )
% 5.44/5.71 => ! [V1y: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( ( p @ ( ap @ c_2Eind__type_2ENUMLEFT @ ( ap @ ( ap @ c_2Eind__type_2ENUMSUM @ V0x ) @ ( inj__ty_2Enum_2Enum @ V1y ) ) ) )
% 5.44/5.71 <=> ( p @ V0x ) )
% 5.44/5.71 & ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Eind__type_2ENUMRIGHT @ ( ap @ ( ap @ c_2Eind__type_2ENUMSUM @ V0x ) @ ( inj__ty_2Enum_2Enum @ V1y ) ) ) )
% 5.44/5.71 = V1y ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(ax_thm_2Eind__type_2EINJN,axiom,
% 5.44/5.71 ! [A_27a: del,V0m: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( ap @ ( c_2Eind__type_2EINJN @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0m ) )
% 5.44/5.71 = ( lam @ ty_2Enum_2Enum
% 5.44/5.71 @ ^ [V1n: $i] :
% 5.44/5.71 ( lam @ A_27a
% 5.44/5.71 @ ^ [V2a: $i] : ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ V1n ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Eind__type_2EINJN__INJ,axiom,
% 5.44/5.71 ! [A_27a: del,V0n1: tp__ty_2Enum_2Enum,V1n2: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( ( ap @ ( c_2Eind__type_2EINJN @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n1 ) )
% 5.44/5.71 = ( ap @ ( c_2Eind__type_2EINJN @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1n2 ) ) )
% 5.44/5.71 <=> ( V0n1 = V1n2 ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(ax_thm_2Eind__type_2EINJA,axiom,
% 5.44/5.71 ! [A_27a: del,V0a: $i] :
% 5.44/5.71 ( ( mem @ V0a @ A_27a )
% 5.44/5.71 => ( ( ap @ ( c_2Eind__type_2EINJA @ A_27a ) @ V0a )
% 5.44/5.71 = ( lam @ ty_2Enum_2Enum
% 5.44/5.71 @ ^ [V1n: $i] :
% 5.44/5.71 ( lam @ A_27a
% 5.44/5.71 @ ^ [V2b: $i] : ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V2b ) @ V0a ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Eind__type_2EINJA__INJ,axiom,
% 5.44/5.71 ! [A_27a: del,V0a1: $i] :
% 5.44/5.71 ( ( mem @ V0a1 @ A_27a )
% 5.44/5.71 => ! [V1a2: $i] :
% 5.44/5.71 ( ( mem @ V1a2 @ A_27a )
% 5.44/5.71 => ( ( ( ap @ ( c_2Eind__type_2EINJA @ A_27a ) @ V0a1 )
% 5.44/5.71 = ( ap @ ( c_2Eind__type_2EINJA @ A_27a ) @ V1a2 ) )
% 5.44/5.71 <=> ( V0a1 = V1a2 ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(ax_thm_2Eind__type_2EINJF,axiom,
% 5.44/5.71 ! [A_27a: del,V0f: $i] :
% 5.44/5.71 ( ( mem @ V0f @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ bool ) ) ) )
% 5.44/5.71 => ( ( ap @ ( c_2Eind__type_2EINJF @ A_27a ) @ V0f )
% 5.44/5.71 = ( lam @ ty_2Enum_2Enum
% 5.44/5.71 @ ^ [V1n: $i] : ( ap @ ( ap @ V0f @ ( ap @ c_2Eind__type_2ENUMFST @ V1n ) ) @ ( ap @ c_2Eind__type_2ENUMSND @ V1n ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Eind__type_2EINJF__INJ,axiom,
% 5.44/5.71 ! [A_27a: del,V0f1: $i] :
% 5.44/5.71 ( ( mem @ V0f1 @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ bool ) ) ) )
% 5.44/5.71 => ! [V1f2: $i] :
% 5.44/5.71 ( ( mem @ V1f2 @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ bool ) ) ) )
% 5.44/5.71 => ( ( ( ap @ ( c_2Eind__type_2EINJF @ A_27a ) @ V0f1 )
% 5.44/5.71 = ( ap @ ( c_2Eind__type_2EINJF @ A_27a ) @ V1f2 ) )
% 5.44/5.71 <=> ( V0f1 = V1f2 ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(ax_thm_2Eind__type_2EINJP,axiom,
% 5.44/5.71 ! [A_27a: del,V0f1: $i] :
% 5.44/5.71 ( ( mem @ V0f1 @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.71 => ! [V1f2: $i] :
% 5.44/5.71 ( ( mem @ V1f2 @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.71 => ( ( ap @ ( ap @ ( c_2Eind__type_2EINJP @ A_27a ) @ V0f1 ) @ V1f2 )
% 5.44/5.71 = ( lam @ ty_2Enum_2Enum
% 5.44/5.71 @ ^ [V2n: $i] :
% 5.44/5.71 ( lam @ A_27a
% 5.44/5.71 @ ^ [V3a: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ bool ) @ ( ap @ c_2Eind__type_2ENUMLEFT @ V2n ) ) @ ( ap @ ( ap @ V0f1 @ ( ap @ c_2Eind__type_2ENUMRIGHT @ V2n ) ) @ V3a ) ) @ ( ap @ ( ap @ V1f2 @ ( ap @ c_2Eind__type_2ENUMRIGHT @ V2n ) ) @ V3a ) ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Eind__type_2EINJP__INJ,axiom,
% 5.44/5.71 ! [A_27a: del,V0f1: $i] :
% 5.44/5.71 ( ( mem @ V0f1 @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.71 => ! [V1f1_27: $i] :
% 5.44/5.71 ( ( mem @ V1f1_27 @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.71 => ! [V2f2: $i] :
% 5.44/5.71 ( ( mem @ V2f2 @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.71 => ! [V3f2_27: $i] :
% 5.44/5.71 ( ( mem @ V3f2_27 @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.71 => ( ( ( ap @ ( ap @ ( c_2Eind__type_2EINJP @ A_27a ) @ V0f1 ) @ V2f2 )
% 5.44/5.71 = ( ap @ ( ap @ ( c_2Eind__type_2EINJP @ A_27a ) @ V1f1_27 ) @ V3f2_27 ) )
% 5.44/5.71 <=> ( ( V0f1 = V1f1_27 )
% 5.44/5.71 & ( V2f2 = V3f2_27 ) ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(ax_thm_2Eind__type_2EZCONSTR,axiom,
% 5.44/5.71 ! [A_27a: del,V0c: tp__ty_2Enum_2Enum,V1i: $i] :
% 5.44/5.71 ( ( mem @ V1i @ A_27a )
% 5.44/5.71 => ! [V2r: $i] :
% 5.44/5.71 ( ( mem @ V2r @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ bool ) ) ) )
% 5.44/5.71 => ( ( ap @ ( ap @ ( ap @ ( c_2Eind__type_2EZCONSTR @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0c ) ) @ V1i ) @ V2r )
% 5.44/5.71 = ( ap @ ( ap @ ( c_2Eind__type_2EINJP @ A_27a ) @ ( ap @ ( c_2Eind__type_2EINJN @ A_27a ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0c ) ) ) ) @ ( ap @ ( ap @ ( c_2Eind__type_2EINJP @ A_27a ) @ ( ap @ ( c_2Eind__type_2EINJA @ A_27a ) @ V1i ) ) @ ( ap @ ( c_2Eind__type_2EINJF @ A_27a ) @ V2r ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(ax_thm_2Eind__type_2EZBOT,axiom,
% 5.44/5.71 ! [A_27a: del] :
% 5.44/5.71 ( ( c_2Eind__type_2EZBOT @ A_27a )
% 5.44/5.71 = ( ap @ ( ap @ ( c_2Eind__type_2EINJP @ A_27a ) @ ( ap @ ( c_2Eind__type_2EINJN @ A_27a ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.44/5.71 @ ( ap @ ( c_2Emin_2E_40 @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.71 @ ( lam @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ bool ) )
% 5.44/5.71 @ ^ [V0z: $i] : c_2Ebool_2ET ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Eind__type_2EZCONSTR__ZBOT,axiom,
% 5.44/5.71 ! [A_27a: del,V0c: tp__ty_2Enum_2Enum,V1i: $i] :
% 5.44/5.71 ( ( mem @ V1i @ A_27a )
% 5.44/5.71 => ! [V2r: $i] :
% 5.44/5.71 ( ( mem @ V2r @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ bool ) ) ) )
% 5.44/5.71 => ( ( ap @ ( ap @ ( ap @ ( c_2Eind__type_2EZCONSTR @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0c ) ) @ V1i ) @ V2r )
% 5.44/5.71 != ( c_2Eind__type_2EZBOT @ A_27a ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(ax_thm_2Eind__type_2EZRECSPACE__def,axiom,
% 5.44/5.71 ! [A_27a: del] :
% 5.44/5.71 ( ( c_2Eind__type_2EZRECSPACE @ A_27a )
% 5.44/5.71 = ( lam @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ bool ) )
% 5.44/5.71 @ ^ [V0a0: $i] :
% 5.44/5.71 ( ap @ ( c_2Ebool_2E_21 @ ( arr @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ bool ) ) @ bool ) )
% 5.44/5.71 @ ( lam @ ( arr @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ bool ) ) @ bool )
% 5.44/5.71 @ ^ [V1ZRECSPACE_27: $i] :
% 5.44/5.71 ( ap
% 5.44/5.71 @ ( ap @ c_2Emin_2E_3D_3D_3E
% 5.44/5.71 @ ( ap @ ( c_2Ebool_2E_21 @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.71 @ ( lam @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ bool ) )
% 5.44/5.71 @ ^ [V2a0: $i] :
% 5.44/5.71 ( ap
% 5.44/5.71 @ ( ap @ c_2Emin_2E_3D_3D_3E
% 5.44/5.71 @ ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ bool ) ) ) @ V2a0 ) @ ( c_2Eind__type_2EZBOT @ A_27a ) ) )
% 5.44/5.71 @ ( ap @ ( c_2Ebool_2E_3F @ ty_2Enum_2Enum )
% 5.44/5.71 @ ( lam @ ty_2Enum_2Enum
% 5.44/5.71 @ ^ [V3c: $i] :
% 5.44/5.71 ( ap @ ( c_2Ebool_2E_3F @ A_27a )
% 5.44/5.71 @ ( lam @ A_27a
% 5.44/5.71 @ ^ [V4i: $i] :
% 5.44/5.71 ( ap @ ( c_2Ebool_2E_3F @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ bool ) ) ) )
% 5.44/5.71 @ ( lam @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.71 @ ^ [V5r: $i] :
% 5.44/5.71 ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ bool ) ) ) @ V2a0 ) @ ( ap @ ( ap @ ( ap @ ( c_2Eind__type_2EZCONSTR @ A_27a ) @ V3c ) @ V4i ) @ V5r ) ) )
% 5.44/5.71 @ ( ap @ ( c_2Ebool_2E_21 @ ty_2Enum_2Enum )
% 5.44/5.71 @ ( lam @ ty_2Enum_2Enum
% 5.44/5.71 @ ^ [V6n: $i] : ( ap @ V1ZRECSPACE_27 @ ( ap @ V5r @ V6n ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.44/5.71 @ ( ap @ V1ZRECSPACE_27 @ V2a0 ) ) ) ) )
% 5.44/5.71 @ ( ap @ V1ZRECSPACE_27 @ V0a0 ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Eind__type_2EZRECSPACE__rules,axiom,
% 5.44/5.71 ! [A_27a: del] :
% 5.44/5.71 ( ( p @ ( ap @ ( c_2Eind__type_2EZRECSPACE @ A_27a ) @ ( c_2Eind__type_2EZBOT @ A_27a ) ) )
% 5.44/5.71 & ! [V0c: tp__ty_2Enum_2Enum,V1i: $i] :
% 5.44/5.71 ( ( mem @ V1i @ A_27a )
% 5.44/5.71 => ! [V2r: $i] :
% 5.44/5.71 ( ( mem @ V2r @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ bool ) ) ) )
% 5.44/5.71 => ( ! [V3n: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( c_2Eind__type_2EZRECSPACE @ A_27a ) @ ( ap @ V2r @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) )
% 5.44/5.71 => ( p @ ( ap @ ( c_2Eind__type_2EZRECSPACE @ A_27a ) @ ( ap @ ( ap @ ( ap @ ( c_2Eind__type_2EZCONSTR @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0c ) ) @ V1i ) @ V2r ) ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Eind__type_2EZRECSPACE__ind,axiom,
% 5.44/5.71 ! [A_27a: del,V0ZRECSPACE_27: $i] :
% 5.44/5.71 ( ( mem @ V0ZRECSPACE_27 @ ( arr @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ bool ) ) @ bool ) )
% 5.44/5.71 => ( ( ( p @ ( ap @ V0ZRECSPACE_27 @ ( c_2Eind__type_2EZBOT @ A_27a ) ) )
% 5.44/5.71 & ! [V1c: tp__ty_2Enum_2Enum,V2i: $i] :
% 5.44/5.71 ( ( mem @ V2i @ A_27a )
% 5.44/5.71 => ! [V3r: $i] :
% 5.44/5.71 ( ( mem @ V3r @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ bool ) ) ) )
% 5.44/5.71 => ( ! [V4n: tp__ty_2Enum_2Enum] : ( p @ ( ap @ V0ZRECSPACE_27 @ ( ap @ V3r @ ( inj__ty_2Enum_2Enum @ V4n ) ) ) )
% 5.44/5.71 => ( p @ ( ap @ V0ZRECSPACE_27 @ ( ap @ ( ap @ ( ap @ ( c_2Eind__type_2EZCONSTR @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1c ) ) @ V2i ) @ V3r ) ) ) ) ) ) )
% 5.44/5.71 => ! [V5a0: $i] :
% 5.44/5.71 ( ( mem @ V5a0 @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.71 => ( ( p @ ( ap @ ( c_2Eind__type_2EZRECSPACE @ A_27a ) @ V5a0 ) )
% 5.44/5.71 => ( p @ ( ap @ V0ZRECSPACE_27 @ V5a0 ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Eind__type_2EZRECSPACE__strongind,axiom,
% 5.44/5.71 ! [A_27a: del,V0ZRECSPACE_27: $i] :
% 5.44/5.71 ( ( mem @ V0ZRECSPACE_27 @ ( arr @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ bool ) ) @ bool ) )
% 5.44/5.71 => ( ( ( p @ ( ap @ V0ZRECSPACE_27 @ ( c_2Eind__type_2EZBOT @ A_27a ) ) )
% 5.44/5.71 & ! [V1c: tp__ty_2Enum_2Enum,V2i: $i] :
% 5.44/5.71 ( ( mem @ V2i @ A_27a )
% 5.44/5.71 => ! [V3r: $i] :
% 5.44/5.71 ( ( mem @ V3r @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ bool ) ) ) )
% 5.44/5.71 => ( ! [V4n: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( p @ ( ap @ ( c_2Eind__type_2EZRECSPACE @ A_27a ) @ ( ap @ V3r @ ( inj__ty_2Enum_2Enum @ V4n ) ) ) )
% 5.44/5.71 & ( p @ ( ap @ V0ZRECSPACE_27 @ ( ap @ V3r @ ( inj__ty_2Enum_2Enum @ V4n ) ) ) ) )
% 5.44/5.71 => ( p @ ( ap @ V0ZRECSPACE_27 @ ( ap @ ( ap @ ( ap @ ( c_2Eind__type_2EZCONSTR @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1c ) ) @ V2i ) @ V3r ) ) ) ) ) ) )
% 5.44/5.71 => ! [V5a0: $i] :
% 5.44/5.71 ( ( mem @ V5a0 @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.71 => ( ( p @ ( ap @ ( c_2Eind__type_2EZRECSPACE @ A_27a ) @ V5a0 ) )
% 5.44/5.71 => ( p @ ( ap @ V0ZRECSPACE_27 @ V5a0 ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Eind__type_2EZRECSPACE__cases,axiom,
% 5.44/5.71 ! [A_27a: del,V0a0: $i] :
% 5.44/5.71 ( ( mem @ V0a0 @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.71 => ( ( p @ ( ap @ ( c_2Eind__type_2EZRECSPACE @ A_27a ) @ V0a0 ) )
% 5.44/5.71 <=> ( ( V0a0
% 5.44/5.71 = ( c_2Eind__type_2EZBOT @ A_27a ) )
% 5.44/5.71 | ? [V1c: tp__ty_2Enum_2Enum,V2i: $i] :
% 5.44/5.71 ( ( mem @ V2i @ A_27a )
% 5.44/5.71 & ? [V3r: $i] :
% 5.44/5.71 ( ( mem @ V3r @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ bool ) ) ) )
% 5.44/5.71 & ( V0a0
% 5.44/5.71 = ( ap @ ( ap @ ( ap @ ( c_2Eind__type_2EZCONSTR @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1c ) ) @ V2i ) @ V3r ) )
% 5.44/5.71 & ! [V4n: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( c_2Eind__type_2EZRECSPACE @ A_27a ) @ ( ap @ V3r @ ( inj__ty_2Enum_2Enum @ V4n ) ) ) ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(ax_thm_2Eind__type_2Erecspace__TY__DEF,axiom,
% 5.44/5.71 ! [A_27a: del] :
% 5.44/5.71 ? [V0rep: $i] :
% 5.44/5.71 ( ( mem @ V0rep @ ( arr @ ( ty_2Eind__type_2Erecspace @ A_27a ) @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ bool ) ) ) )
% 5.44/5.71 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2ETYPE__DEFINITION @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ bool ) ) @ ( ty_2Eind__type_2Erecspace @ A_27a ) ) @ ( c_2Eind__type_2EZRECSPACE @ A_27a ) ) @ V0rep ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(ax_thm_2Eind__type_2Erecspace__repfns,axiom,
% 5.44/5.71 ! [A_27a: del] :
% 5.44/5.71 ( ! [V0a: $i] :
% 5.44/5.71 ( ( mem @ V0a @ ( ty_2Eind__type_2Erecspace @ A_27a ) )
% 5.44/5.71 => ( ( ap @ ( c_2Eind__type_2Emk__rec @ A_27a ) @ ( ap @ ( c_2Eind__type_2Edest__rec @ A_27a ) @ V0a ) )
% 5.44/5.71 = V0a ) )
% 5.44/5.71 & ! [V1r: $i] :
% 5.44/5.71 ( ( mem @ V1r @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.71 => ( ( p @ ( ap @ ( c_2Eind__type_2EZRECSPACE @ A_27a ) @ V1r ) )
% 5.44/5.71 <=> ( ( ap @ ( c_2Eind__type_2Edest__rec @ A_27a ) @ ( ap @ ( c_2Eind__type_2Emk__rec @ A_27a ) @ V1r ) )
% 5.44/5.71 = V1r ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(ax_thm_2Eind__type_2EBOTTOM,axiom,
% 5.44/5.71 ! [A_27a: del] :
% 5.44/5.71 ( ( c_2Eind__type_2EBOTTOM @ A_27a )
% 5.44/5.71 = ( ap @ ( c_2Eind__type_2Emk__rec @ A_27a ) @ ( c_2Eind__type_2EZBOT @ A_27a ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(ax_thm_2Eind__type_2ECONSTR,axiom,
% 5.44/5.71 ! [A_27a: del,V0c: tp__ty_2Enum_2Enum,V1i: $i] :
% 5.44/5.71 ( ( mem @ V1i @ A_27a )
% 5.44/5.71 => ! [V2r: $i] :
% 5.44/5.71 ( ( mem @ V2r @ ( arr @ ty_2Enum_2Enum @ ( ty_2Eind__type_2Erecspace @ A_27a ) ) )
% 5.44/5.71 => ( ( ap @ ( ap @ ( ap @ ( c_2Eind__type_2ECONSTR @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0c ) ) @ V1i ) @ V2r )
% 5.44/5.71 = ( ap @ ( c_2Eind__type_2Emk__rec @ A_27a )
% 5.44/5.71 @ ( ap @ ( ap @ ( ap @ ( c_2Eind__type_2EZCONSTR @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0c ) ) @ V1i )
% 5.44/5.71 @ ( lam @ ty_2Enum_2Enum
% 5.44/5.71 @ ^ [V3n: $i] : ( ap @ ( c_2Eind__type_2Edest__rec @ A_27a ) @ ( ap @ V2r @ V3n ) ) ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Eind__type_2EMK__REC__INJ,axiom,
% 5.44/5.71 ! [A_27a: del,V0x: $i] :
% 5.44/5.71 ( ( mem @ V0x @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.71 => ! [V1y: $i] :
% 5.44/5.71 ( ( mem @ V1y @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.71 => ( ( ( ap @ ( c_2Eind__type_2Emk__rec @ A_27a ) @ V0x )
% 5.44/5.71 = ( ap @ ( c_2Eind__type_2Emk__rec @ A_27a ) @ V1y ) )
% 5.44/5.71 => ( ( ( p @ ( ap @ ( c_2Eind__type_2EZRECSPACE @ A_27a ) @ V0x ) )
% 5.44/5.71 & ( p @ ( ap @ ( c_2Eind__type_2EZRECSPACE @ A_27a ) @ V1y ) ) )
% 5.44/5.71 => ( V0x = V1y ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Eind__type_2EDEST__REC__INJ,axiom,
% 5.44/5.71 ! [A_27a: del,V0x: $i] :
% 5.44/5.71 ( ( mem @ V0x @ ( ty_2Eind__type_2Erecspace @ A_27a ) )
% 5.44/5.71 => ! [V1y: $i] :
% 5.44/5.71 ( ( mem @ V1y @ ( ty_2Eind__type_2Erecspace @ A_27a ) )
% 5.44/5.71 => ( ( ( ap @ ( c_2Eind__type_2Edest__rec @ A_27a ) @ V0x )
% 5.44/5.71 = ( ap @ ( c_2Eind__type_2Edest__rec @ A_27a ) @ V1y ) )
% 5.44/5.71 <=> ( V0x = V1y ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Eind__type_2ECONSTR__BOT,axiom,
% 5.44/5.71 ! [A_27a: del,V0c: tp__ty_2Enum_2Enum,V1i: $i] :
% 5.44/5.71 ( ( mem @ V1i @ A_27a )
% 5.44/5.71 => ! [V2r: $i] :
% 5.44/5.71 ( ( mem @ V2r @ ( arr @ ty_2Enum_2Enum @ ( ty_2Eind__type_2Erecspace @ A_27a ) ) )
% 5.44/5.71 => ( ( ap @ ( ap @ ( ap @ ( c_2Eind__type_2ECONSTR @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0c ) ) @ V1i ) @ V2r )
% 5.44/5.71 != ( c_2Eind__type_2EBOTTOM @ A_27a ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Eind__type_2ECONSTR__INJ,axiom,
% 5.44/5.71 ! [A_27a: del,V0c1: tp__ty_2Enum_2Enum,V1i1: $i] :
% 5.44/5.71 ( ( mem @ V1i1 @ A_27a )
% 5.44/5.71 => ! [V2r1: $i] :
% 5.44/5.71 ( ( mem @ V2r1 @ ( arr @ ty_2Enum_2Enum @ ( ty_2Eind__type_2Erecspace @ A_27a ) ) )
% 5.44/5.71 => ! [V3c2: tp__ty_2Enum_2Enum,V4i2: $i] :
% 5.44/5.71 ( ( mem @ V4i2 @ A_27a )
% 5.44/5.71 => ! [V5r2: $i] :
% 5.44/5.71 ( ( mem @ V5r2 @ ( arr @ ty_2Enum_2Enum @ ( ty_2Eind__type_2Erecspace @ A_27a ) ) )
% 5.44/5.71 => ( ( ( ap @ ( ap @ ( ap @ ( c_2Eind__type_2ECONSTR @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0c1 ) ) @ V1i1 ) @ V2r1 )
% 5.44/5.71 = ( ap @ ( ap @ ( ap @ ( c_2Eind__type_2ECONSTR @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V3c2 ) ) @ V4i2 ) @ V5r2 ) )
% 5.44/5.71 <=> ( ( V0c1 = V3c2 )
% 5.44/5.71 & ( V1i1 = V4i2 )
% 5.44/5.71 & ( V2r1 = V5r2 ) ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Eind__type_2ECONSTR__IND,axiom,
% 5.44/5.71 ! [A_27a: del,V0P: $i] :
% 5.44/5.71 ( ( mem @ V0P @ ( arr @ ( ty_2Eind__type_2Erecspace @ A_27a ) @ bool ) )
% 5.44/5.71 => ( ( ( p @ ( ap @ V0P @ ( c_2Eind__type_2EBOTTOM @ A_27a ) ) )
% 5.44/5.71 & ! [V1c: tp__ty_2Enum_2Enum,V2i: $i] :
% 5.44/5.71 ( ( mem @ V2i @ A_27a )
% 5.44/5.71 => ! [V3r: $i] :
% 5.44/5.71 ( ( mem @ V3r @ ( arr @ ty_2Enum_2Enum @ ( ty_2Eind__type_2Erecspace @ A_27a ) ) )
% 5.44/5.71 => ( ! [V4n: tp__ty_2Enum_2Enum] : ( p @ ( ap @ V0P @ ( ap @ V3r @ ( inj__ty_2Enum_2Enum @ V4n ) ) ) )
% 5.44/5.71 => ( p @ ( ap @ V0P @ ( ap @ ( ap @ ( ap @ ( c_2Eind__type_2ECONSTR @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1c ) ) @ V2i ) @ V3r ) ) ) ) ) ) )
% 5.44/5.71 => ! [V5x: $i] :
% 5.44/5.71 ( ( mem @ V5x @ ( ty_2Eind__type_2Erecspace @ A_27a ) )
% 5.44/5.71 => ( p @ ( ap @ V0P @ V5x ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Eind__type_2ECONSTR__REC,axiom,
% 5.44/5.71 ! [A_27a: del,A_27b: del,V0Fn: $i] :
% 5.44/5.71 ( ( mem @ V0Fn @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ ( arr @ ( arr @ ty_2Enum_2Enum @ ( ty_2Eind__type_2Erecspace @ A_27a ) ) @ ( arr @ ( arr @ ty_2Enum_2Enum @ A_27b ) @ A_27b ) ) ) ) )
% 5.44/5.71 => ? [V1f: $i] :
% 5.44/5.71 ( ( mem @ V1f @ ( arr @ ( ty_2Eind__type_2Erecspace @ A_27a ) @ A_27b ) )
% 5.44/5.71 & ! [V2c: tp__ty_2Enum_2Enum,V3i: $i] :
% 5.44/5.71 ( ( mem @ V3i @ A_27a )
% 5.44/5.71 => ! [V4r: $i] :
% 5.44/5.71 ( ( mem @ V4r @ ( arr @ ty_2Enum_2Enum @ ( ty_2Eind__type_2Erecspace @ A_27a ) ) )
% 5.44/5.71 => ( ( ap @ V1f @ ( ap @ ( ap @ ( ap @ ( c_2Eind__type_2ECONSTR @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V2c ) ) @ V3i ) @ V4r ) )
% 5.44/5.71 = ( ap @ ( ap @ ( ap @ ( ap @ V0Fn @ ( inj__ty_2Enum_2Enum @ V2c ) ) @ V3i ) @ V4r )
% 5.44/5.71 @ ( lam @ ty_2Enum_2Enum
% 5.44/5.71 @ ^ [V5n: $i] : ( ap @ V1f @ ( ap @ V4r @ V5n ) ) ) ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(ax_thm_2Eind__type_2EFCONS,axiom,
% 5.44/5.71 ! [A_27a: del] :
% 5.44/5.71 ( ! [V0a: $i] :
% 5.44/5.71 ( ( mem @ V0a @ A_27a )
% 5.44/5.71 => ! [V1f: $i] :
% 5.44/5.71 ( ( mem @ V1f @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.44/5.71 => ( ( ap @ ( ap @ ( ap @ ( c_2Eind__type_2EFCONS @ A_27a ) @ V0a ) @ V1f ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) )
% 5.44/5.71 = V0a ) ) )
% 5.44/5.71 & ! [V2a: $i] :
% 5.44/5.71 ( ( mem @ V2a @ A_27a )
% 5.44/5.71 => ! [V3f: $i] :
% 5.44/5.71 ( ( mem @ V3f @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.44/5.71 => ! [V4n: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( ap @ ( ap @ ( ap @ ( c_2Eind__type_2EFCONS @ A_27a ) @ V2a ) @ V3f ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V4n ) ) )
% 5.44/5.71 = ( ap @ V3f @ ( inj__ty_2Enum_2Enum @ V4n ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(ax_thm_2Eind__type_2EFNIL,axiom,
% 5.44/5.71 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( ap @ ( c_2Eind__type_2EFNIL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) )
% 5.44/5.71 = ( c_2Ebool_2EARB @ A_27a ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Eind__type_2EFCONS__DEST,axiom,
% 5.44/5.71 ! [A_27a: del,V0a: $i] :
% 5.44/5.71 ( ( mem @ V0a @ A_27a )
% 5.44/5.71 => ! [V1f: $i] :
% 5.44/5.71 ( ( mem @ V1f @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.44/5.71 => ! [V2n: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( ap @ ( ap @ ( ap @ ( c_2Eind__type_2EFCONS @ A_27a ) @ V0a ) @ V1f ) @ ( inj__ty_2Enum_2Enum @ V2n ) )
% 5.44/5.71 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ A_27a ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) @ V0a ) @ ( ap @ V1f @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(ax_thm_2Eind__type_2EISO,axiom,
% 5.44/5.71 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.71 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.71 => ! [V1g: $i] :
% 5.44/5.71 ( ( mem @ V1g @ ( arr @ A_27b @ A_27a ) )
% 5.44/5.71 => ( ( p @ ( ap @ ( ap @ ( c_2Eind__type_2EISO @ A_27a @ A_27b ) @ V0f ) @ V1g ) )
% 5.44/5.71 <=> ( ! [V2x: $i] :
% 5.44/5.71 ( ( mem @ V2x @ A_27b )
% 5.44/5.71 => ( ( ap @ V0f @ ( ap @ V1g @ V2x ) )
% 5.44/5.71 = V2x ) )
% 5.44/5.71 & ! [V3y: $i] :
% 5.44/5.71 ( ( mem @ V3y @ A_27a )
% 5.44/5.71 => ( ( ap @ V1g @ ( ap @ V0f @ V3y ) )
% 5.44/5.71 = V3y ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Eind__type_2EISO__REFL,axiom,
% 5.44/5.71 ! [A_27a: del] :
% 5.44/5.71 ( p
% 5.44/5.71 @ ( ap
% 5.44/5.71 @ ( ap @ ( c_2Eind__type_2EISO @ A_27a @ A_27a )
% 5.44/5.71 @ ( lam @ A_27a
% 5.44/5.71 @ ^ [V0x: $i] : V0x ) )
% 5.44/5.71 @ ( lam @ A_27a
% 5.44/5.71 @ ^ [V1x: $i] : V1x ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Eind__type_2EISO__FUN,axiom,
% 5.44/5.71 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0f: $i] :
% 5.44/5.71 ( ( mem @ V0f @ ( arr @ A_27a @ A_27c ) )
% 5.44/5.71 => ! [V1f_27: $i] :
% 5.44/5.71 ( ( mem @ V1f_27 @ ( arr @ A_27c @ A_27a ) )
% 5.44/5.71 => ! [V2g: $i] :
% 5.44/5.71 ( ( mem @ V2g @ ( arr @ A_27b @ A_27d ) )
% 5.44/5.71 => ! [V3g_27: $i] :
% 5.44/5.71 ( ( mem @ V3g_27 @ ( arr @ A_27d @ A_27b ) )
% 5.44/5.71 => ( ( ( p @ ( ap @ ( ap @ ( c_2Eind__type_2EISO @ A_27a @ A_27c ) @ V0f ) @ V1f_27 ) )
% 5.44/5.71 & ( p @ ( ap @ ( ap @ ( c_2Eind__type_2EISO @ A_27b @ A_27d ) @ V2g ) @ V3g_27 ) ) )
% 5.44/5.71 => ( p
% 5.44/5.71 @ ( ap
% 5.44/5.71 @ ( ap @ ( c_2Eind__type_2EISO @ ( arr @ A_27a @ A_27b ) @ ( arr @ A_27c @ A_27d ) )
% 5.44/5.71 @ ( lam @ ( arr @ A_27a @ A_27b )
% 5.44/5.71 @ ^ [V4h: $i] :
% 5.44/5.71 ( lam @ A_27c
% 5.44/5.71 @ ^ [V5a_27: $i] : ( ap @ V2g @ ( ap @ V4h @ ( ap @ V1f_27 @ V5a_27 ) ) ) ) ) )
% 5.44/5.71 @ ( lam @ ( arr @ A_27c @ A_27d )
% 5.44/5.71 @ ^ [V6h: $i] :
% 5.44/5.71 ( lam @ A_27a
% 5.44/5.71 @ ^ [V7a: $i] : ( ap @ V3g_27 @ ( ap @ V6h @ ( ap @ V0f @ V7a ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Eind__type_2EISO__USAGE,axiom,
% 5.44/5.71 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.71 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.71 => ! [V1g: $i] :
% 5.44/5.71 ( ( mem @ V1g @ ( arr @ A_27b @ A_27a ) )
% 5.44/5.71 => ( ( p @ ( ap @ ( ap @ ( c_2Eind__type_2EISO @ A_27a @ A_27b ) @ V0f ) @ V1g ) )
% 5.44/5.71 => ( ! [V2P: $i] :
% 5.44/5.71 ( ( mem @ V2P @ ( arr @ A_27a @ bool ) )
% 5.44/5.71 => ( ! [V3x: $i] :
% 5.44/5.71 ( ( mem @ V3x @ A_27a )
% 5.44/5.71 => ( p @ ( ap @ V2P @ V3x ) ) )
% 5.44/5.71 <=> ! [V4x: $i] :
% 5.44/5.71 ( ( mem @ V4x @ A_27b )
% 5.44/5.71 => ( p @ ( ap @ V2P @ ( ap @ V1g @ V4x ) ) ) ) ) )
% 5.44/5.71 & ! [V5P: $i] :
% 5.44/5.71 ( ( mem @ V5P @ ( arr @ A_27a @ bool ) )
% 5.44/5.71 => ( ? [V6x: $i] :
% 5.44/5.71 ( ( mem @ V6x @ A_27a )
% 5.44/5.71 & ( p @ ( ap @ V5P @ V6x ) ) )
% 5.44/5.71 <=> ? [V7x: $i] :
% 5.44/5.71 ( ( mem @ V7x @ A_27b )
% 5.44/5.71 & ( p @ ( ap @ V5P @ ( ap @ V1g @ V7x ) ) ) ) ) )
% 5.44/5.71 & ! [V8a: $i] :
% 5.44/5.71 ( ( mem @ V8a @ A_27a )
% 5.44/5.71 => ! [V9b: $i] :
% 5.44/5.71 ( ( mem @ V9b @ A_27b )
% 5.44/5.71 => ( ( V8a
% 5.44/5.71 = ( ap @ V1g @ V9b ) )
% 5.44/5.71 <=> ( ( ap @ V0f @ V8a )
% 5.44/5.71 = V9b ) ) ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 %------------------------------------------------------------------------------
% 5.44/5.71 %------------------------------------------------------------------------------
% 5.44/5.71 thf(tp_c_2EbasicSize_2Ebool__size,type,
% 5.44/5.71 c_2EbasicSize_2Ebool__size: $i ).
% 5.44/5.71
% 5.44/5.71 thf(mem_c_2EbasicSize_2Ebool__size,axiom,
% 5.44/5.71 mem @ c_2EbasicSize_2Ebool__size @ ( arr @ bool @ ty_2Enum_2Enum ) ).
% 5.44/5.71
% 5.44/5.71 thf(tp_c_2EbasicSize_2Eone__size,type,
% 5.44/5.71 c_2EbasicSize_2Eone__size: $i ).
% 5.44/5.71
% 5.44/5.71 thf(mem_c_2EbasicSize_2Eone__size,axiom,
% 5.44/5.71 mem @ c_2EbasicSize_2Eone__size @ ( arr @ ty_2Eone_2Eone @ ty_2Enum_2Enum ) ).
% 5.44/5.71
% 5.44/5.71 thf(stp_fo_c_2EbasicSize_2Eone__size,type,
% 5.44/5.71 fo__c_2EbasicSize_2Eone__size: tp__ty_2Eone_2Eone > tp__ty_2Enum_2Enum ).
% 5.44/5.71
% 5.44/5.71 thf(stp_eq_fo_c_2EbasicSize_2Eone__size,axiom,
% 5.44/5.71 ! [X0: tp__ty_2Eone_2Eone] :
% 5.44/5.71 ( ( inj__ty_2Enum_2Enum @ ( fo__c_2EbasicSize_2Eone__size @ X0 ) )
% 5.44/5.71 = ( ap @ c_2EbasicSize_2Eone__size @ ( inj__ty_2Eone_2Eone @ X0 ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(tp_c_2EbasicSize_2Eoption__size,type,
% 5.44/5.71 c_2EbasicSize_2Eoption__size: del > $i ).
% 5.44/5.71
% 5.44/5.71 thf(mem_c_2EbasicSize_2Eoption__size,axiom,
% 5.44/5.71 ! [A_27a: del] : ( mem @ ( c_2EbasicSize_2Eoption__size @ A_27a ) @ ( arr @ ( arr @ A_27a @ ty_2Enum_2Enum ) @ ( arr @ ( ty_2Eoption_2Eoption @ A_27a ) @ ty_2Enum_2Enum ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(tp_c_2EbasicSize_2Epair__size,type,
% 5.44/5.71 c_2EbasicSize_2Epair__size: del > del > $i ).
% 5.44/5.71
% 5.44/5.71 thf(mem_c_2EbasicSize_2Epair__size,axiom,
% 5.44/5.71 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2EbasicSize_2Epair__size @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ ty_2Enum_2Enum ) @ ( arr @ ( arr @ A_27b @ ty_2Enum_2Enum ) @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ ty_2Enum_2Enum ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(tp_c_2EbasicSize_2Esum__size,type,
% 5.44/5.71 c_2EbasicSize_2Esum__size: del > del > $i ).
% 5.44/5.71
% 5.44/5.71 thf(mem_c_2EbasicSize_2Esum__size,axiom,
% 5.44/5.71 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2EbasicSize_2Esum__size @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ ty_2Enum_2Enum ) @ ( arr @ ( arr @ A_27b @ ty_2Enum_2Enum ) @ ( arr @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) @ ty_2Enum_2Enum ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(ax_thm_2EbasicSize_2Ebool__size__def,axiom,
% 5.44/5.71 ! [V0b: $i] :
% 5.44/5.71 ( ( mem @ V0b @ bool )
% 5.44/5.71 => ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2EbasicSize_2Ebool__size @ V0b ) )
% 5.44/5.71 = fo__c_2Enum_2E0 ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(ax_thm_2EbasicSize_2Epair__size__def,axiom,
% 5.44/5.71 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.71 ( ( mem @ V0f @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.44/5.71 => ! [V1g: $i] :
% 5.44/5.71 ( ( mem @ V1g @ ( arr @ A_27b @ ty_2Enum_2Enum ) )
% 5.44/5.71 => ( ( ap @ ( ap @ ( c_2EbasicSize_2Epair__size @ A_27a @ A_27b ) @ V0f ) @ V1g )
% 5.44/5.71 = ( ap @ ( c_2Epair_2EUNCURRY @ A_27a @ A_27b @ ty_2Enum_2Enum )
% 5.44/5.71 @ ( lam @ A_27a
% 5.44/5.71 @ ^ [V2x: $i] :
% 5.44/5.71 ( lam @ A_27b
% 5.44/5.71 @ ^ [V3y: $i] : ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ V0f @ V2x ) ) @ ( ap @ V1g @ V3y ) ) ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(ax_thm_2EbasicSize_2Eone__size__def,axiom,
% 5.44/5.71 ! [V0x: tp__ty_2Eone_2Eone] :
% 5.44/5.71 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2EbasicSize_2Eone__size @ ( inj__ty_2Eone_2Eone @ V0x ) ) )
% 5.44/5.71 = fo__c_2Enum_2E0 ) ).
% 5.44/5.71
% 5.44/5.71 thf(ax_thm_2EbasicSize_2Esum__size__def,axiom,
% 5.44/5.71 ! [A_27a: del,A_27b: del] :
% 5.44/5.71 ( ! [V0f: $i] :
% 5.44/5.71 ( ( mem @ V0f @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.44/5.71 => ! [V1g: $i] :
% 5.44/5.71 ( ( mem @ V1g @ ( arr @ A_27b @ ty_2Enum_2Enum ) )
% 5.44/5.71 => ! [V2x: $i] :
% 5.44/5.71 ( ( mem @ V2x @ A_27a )
% 5.44/5.71 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ ( c_2EbasicSize_2Esum__size @ A_27a @ A_27b ) @ V0f ) @ V1g ) @ ( ap @ ( c_2Esum_2EINL @ A_27a @ A_27b ) @ V2x ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ V0f @ V2x ) ) ) ) ) )
% 5.44/5.71 & ! [V3f: $i] :
% 5.44/5.71 ( ( mem @ V3f @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.44/5.71 => ! [V4g: $i] :
% 5.44/5.71 ( ( mem @ V4g @ ( arr @ A_27b @ ty_2Enum_2Enum ) )
% 5.44/5.71 => ! [V5y: $i] :
% 5.44/5.71 ( ( mem @ V5y @ A_27b )
% 5.44/5.71 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ ( c_2EbasicSize_2Esum__size @ A_27a @ A_27b ) @ V3f ) @ V4g ) @ ( ap @ ( c_2Esum_2EINR @ A_27a @ A_27b ) @ V5y ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ V4g @ V5y ) ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(ax_thm_2EbasicSize_2Eoption__size__def,axiom,
% 5.44/5.71 ! [A_27a: del] :
% 5.44/5.71 ( ! [V0f: $i] :
% 5.44/5.71 ( ( mem @ V0f @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.44/5.71 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( c_2EbasicSize_2Eoption__size @ A_27a ) @ V0f ) @ ( c_2Eoption_2ENONE @ A_27a ) ) )
% 5.44/5.71 = fo__c_2Enum_2E0 ) )
% 5.44/5.71 & ! [V1f: $i] :
% 5.44/5.71 ( ( mem @ V1f @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.44/5.71 => ! [V2x: $i] :
% 5.44/5.71 ( ( mem @ V2x @ A_27a )
% 5.44/5.71 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( c_2EbasicSize_2Eoption__size @ A_27a ) @ V1f ) @ ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V2x ) ) )
% 5.44/5.71 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enum_2ESUC @ ( ap @ V1f @ V2x ) ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 %------------------------------------------------------------------------------
% 5.44/5.71 %------------------------------------------------------------------------------
% 5.44/5.71 thf(tp_c_2Elogroot_2ELOG,type,
% 5.44/5.71 c_2Elogroot_2ELOG: $i ).
% 5.44/5.71
% 5.44/5.71 thf(mem_c_2Elogroot_2ELOG,axiom,
% 5.44/5.71 mem @ c_2Elogroot_2ELOG @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(stp_fo_c_2Elogroot_2ELOG,type,
% 5.44/5.71 fo__c_2Elogroot_2ELOG: tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum ).
% 5.44/5.71
% 5.44/5.71 thf(stp_eq_fo_c_2Elogroot_2ELOG,axiom,
% 5.44/5.71 ! [X0: tp__ty_2Enum_2Enum,X1: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( inj__ty_2Enum_2Enum @ ( fo__c_2Elogroot_2ELOG @ X0 @ X1 ) )
% 5.44/5.71 = ( ap @ ( ap @ c_2Elogroot_2ELOG @ ( inj__ty_2Enum_2Enum @ X0 ) ) @ ( inj__ty_2Enum_2Enum @ X1 ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(tp_c_2Elogroot_2EROOT,type,
% 5.44/5.71 c_2Elogroot_2EROOT: $i ).
% 5.44/5.71
% 5.44/5.71 thf(mem_c_2Elogroot_2EROOT,axiom,
% 5.44/5.71 mem @ c_2Elogroot_2EROOT @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(stp_fo_c_2Elogroot_2EROOT,type,
% 5.44/5.71 fo__c_2Elogroot_2EROOT: tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum ).
% 5.44/5.71
% 5.44/5.71 thf(stp_eq_fo_c_2Elogroot_2EROOT,axiom,
% 5.44/5.71 ! [X0: tp__ty_2Enum_2Enum,X1: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( inj__ty_2Enum_2Enum @ ( fo__c_2Elogroot_2EROOT @ X0 @ X1 ) )
% 5.44/5.71 = ( ap @ ( ap @ c_2Elogroot_2EROOT @ ( inj__ty_2Enum_2Enum @ X0 ) ) @ ( inj__ty_2Enum_2Enum @ X1 ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(tp_c_2Elogroot_2ESQRTd,type,
% 5.44/5.71 c_2Elogroot_2ESQRTd: $i ).
% 5.44/5.71
% 5.44/5.71 thf(mem_c_2Elogroot_2ESQRTd,axiom,
% 5.44/5.71 mem @ c_2Elogroot_2ESQRTd @ ( arr @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(tp_c_2Elogroot_2EiSQRT0,type,
% 5.44/5.71 c_2Elogroot_2EiSQRT0: $i ).
% 5.44/5.71
% 5.44/5.71 thf(mem_c_2Elogroot_2EiSQRT0,axiom,
% 5.44/5.71 mem @ c_2Elogroot_2EiSQRT0 @ ( arr @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(tp_c_2Elogroot_2EiSQRT1,type,
% 5.44/5.71 c_2Elogroot_2EiSQRT1: $i ).
% 5.44/5.71
% 5.44/5.71 thf(mem_c_2Elogroot_2EiSQRT1,axiom,
% 5.44/5.71 mem @ c_2Elogroot_2EiSQRT1 @ ( arr @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(tp_c_2Elogroot_2EiSQRT2,type,
% 5.44/5.71 c_2Elogroot_2EiSQRT2: $i ).
% 5.44/5.71
% 5.44/5.71 thf(mem_c_2Elogroot_2EiSQRT2,axiom,
% 5.44/5.71 mem @ c_2Elogroot_2EiSQRT2 @ ( arr @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(tp_c_2Elogroot_2EiSQRT3,type,
% 5.44/5.71 c_2Elogroot_2EiSQRT3: $i ).
% 5.44/5.71
% 5.44/5.71 thf(mem_c_2Elogroot_2EiSQRT3,axiom,
% 5.44/5.71 mem @ c_2Elogroot_2EiSQRT3 @ ( arr @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Elogroot_2ELT__EXP__ISO,axiom,
% 5.44/5.71 ! [V0e: tp__ty_2Enum_2Enum,V1a: tp__ty_2Enum_2Enum,V2b: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0e ) ) )
% 5.44/5.71 => ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1a ) ) @ ( inj__ty_2Enum_2Enum @ V2b ) ) )
% 5.44/5.71 <=> ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( inj__ty_2Enum_2Enum @ V0e ) ) @ ( inj__ty_2Enum_2Enum @ V1a ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( inj__ty_2Enum_2Enum @ V0e ) ) @ ( inj__ty_2Enum_2Enum @ V2b ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Elogroot_2ELE__EXP__ISO,axiom,
% 5.44/5.71 ! [V0e: tp__ty_2Enum_2Enum,V1a: tp__ty_2Enum_2Enum,V2b: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0e ) ) )
% 5.44/5.71 => ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1a ) ) @ ( inj__ty_2Enum_2Enum @ V2b ) ) )
% 5.44/5.71 <=> ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( inj__ty_2Enum_2Enum @ V0e ) ) @ ( inj__ty_2Enum_2Enum @ V1a ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( inj__ty_2Enum_2Enum @ V0e ) ) @ ( inj__ty_2Enum_2Enum @ V2b ) ) ) ) ) ) ).
% 5.44/5.71
% 5.44/5.71 thf(conj_thm_2Elogroot_2EEXP__LT__ISO,axiom,
% 5.44/5.71 ! [V0a: tp__ty_2Enum_2Enum,V1b: tp__ty_2Enum_2Enum,V2r: tp__ty_2Enum_2Enum] :
% 5.44/5.71 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V2r ) ) )
% 5.44/5.72 => ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) )
% 5.44/5.72 <=> ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( inj__ty_2Enum_2Enum @ V2r ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( inj__ty_2Enum_2Enum @ V1b ) ) @ ( inj__ty_2Enum_2Enum @ V2r ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Elogroot_2EEXP__LE__ISO,axiom,
% 5.44/5.72 ! [V0a: tp__ty_2Enum_2Enum,V1b: tp__ty_2Enum_2Enum,V2r: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V2r ) ) )
% 5.44/5.72 => ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) )
% 5.44/5.72 <=> ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( inj__ty_2Enum_2Enum @ V2r ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( inj__ty_2Enum_2Enum @ V1b ) ) @ ( inj__ty_2Enum_2Enum @ V2r ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Elogroot_2EROOT__exists,axiom,
% 5.44/5.72 ! [V0r: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0r ) ) )
% 5.44/5.72 => ? [V2rt: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( inj__ty_2Enum_2Enum @ V2rt ) ) @ ( inj__ty_2Enum_2Enum @ V0r ) ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.72 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V2rt ) ) ) @ ( inj__ty_2Enum_2Enum @ V0r ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(ax_thm_2Elogroot_2EROOT,axiom,
% 5.44/5.72 ! [V0r: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0r ) ) )
% 5.44/5.72 => ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ ( ap @ c_2Elogroot_2EROOT @ ( inj__ty_2Enum_2Enum @ V0r ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ ( inj__ty_2Enum_2Enum @ V0r ) ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.72 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Enum_2ESUC @ ( ap @ ( ap @ c_2Elogroot_2EROOT @ ( inj__ty_2Enum_2Enum @ V0r ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0r ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Elogroot_2EROOT__UNIQUE,axiom,
% 5.44/5.72 ! [V0r: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum,V2p: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( inj__ty_2Enum_2Enum @ V2p ) ) @ ( inj__ty_2Enum_2Enum @ V0r ) ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.72 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) @ ( inj__ty_2Enum_2Enum @ V0r ) ) ) ) )
% 5.44/5.72 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Elogroot_2EROOT @ ( inj__ty_2Enum_2Enum @ V0r ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.72 = V2p ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Elogroot_2ELOG__exists,axiom,
% 5.44/5.72 ? [V0f: $i] :
% 5.44/5.72 ( ( mem @ V0f @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) )
% 5.44/5.72 & ! [V1a: tp__ty_2Enum_2Enum,V2n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1a ) ) )
% 5.44/5.72 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) )
% 5.44/5.72 => ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( inj__ty_2Enum_2Enum @ V1a ) ) @ ( ap @ ( ap @ V0f @ ( inj__ty_2Enum_2Enum @ V1a ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) )
% 5.44/5.72 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( inj__ty_2Enum_2Enum @ V1a ) ) @ ( ap @ c_2Enum_2ESUC @ ( ap @ ( ap @ V0f @ ( inj__ty_2Enum_2Enum @ V1a ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(ax_thm_2Elogroot_2ELOG,axiom,
% 5.44/5.72 ! [V0a: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0a ) ) )
% 5.44/5.72 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.44/5.72 => ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( ap @ ( ap @ c_2Elogroot_2ELOG @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.72 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( ap @ c_2Enum_2ESUC @ ( ap @ ( ap @ c_2Elogroot_2ELOG @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Elogroot_2ELOG__UNIQUE,axiom,
% 5.44/5.72 ! [V0a: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum,V2p: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.72 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) ) ) )
% 5.44/5.72 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Elogroot_2ELOG @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.72 = V2p ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Elogroot_2ELOG__ADD1,axiom,
% 5.44/5.72 ! [V0n: tp__ty_2Enum_2Enum,V1a: tp__ty_2Enum_2Enum,V2b: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.72 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1a ) ) )
% 5.44/5.72 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V2b ) ) ) )
% 5.44/5.72 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Elogroot_2ELOG @ ( inj__ty_2Enum_2Enum @ V1a ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( inj__ty_2Enum_2Enum @ V1a ) ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V2b ) ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enum_2ESUC @ ( ap @ ( ap @ c_2Elogroot_2ELOG @ ( inj__ty_2Enum_2Enum @ V1a ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( inj__ty_2Enum_2Enum @ V1a ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( inj__ty_2Enum_2Enum @ V2b ) ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Elogroot_2ELOG__BASE,axiom,
% 5.44/5.72 ! [V0a: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0a ) ) )
% 5.44/5.72 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Elogroot_2ELOG @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( inj__ty_2Enum_2Enum @ V0a ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Elogroot_2ELOG__EXP,axiom,
% 5.44/5.72 ! [V0n: tp__ty_2Enum_2Enum,V1a: tp__ty_2Enum_2Enum,V2b: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1a ) ) )
% 5.44/5.72 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V2b ) ) ) )
% 5.44/5.72 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Elogroot_2ELOG @ ( inj__ty_2Enum_2Enum @ V1a ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( inj__ty_2Enum_2Enum @ V1a ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( inj__ty_2Enum_2Enum @ V2b ) ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( ap @ c_2Elogroot_2ELOG @ ( inj__ty_2Enum_2Enum @ V1a ) ) @ ( inj__ty_2Enum_2Enum @ V2b ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Elogroot_2ELOG__1,axiom,
% 5.44/5.72 ! [V0a: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0a ) ) )
% 5.44/5.72 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Elogroot_2ELOG @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.44/5.72 = fo__c_2Enum_2E0 ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Elogroot_2ELOG__DIV,axiom,
% 5.44/5.72 ! [V0a: tp__ty_2Enum_2Enum,V1x: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0a ) ) )
% 5.44/5.72 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.44/5.72 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Elogroot_2ELOG @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( ap @ c_2Elogroot_2ELOG @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( inj__ty_2Enum_2Enum @ V0a ) ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Elogroot_2ELOG__ADD,axiom,
% 5.44/5.72 ! [V0a: tp__ty_2Enum_2Enum,V1b: tp__ty_2Enum_2Enum,V2c: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0a ) ) )
% 5.44/5.72 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1b ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( inj__ty_2Enum_2Enum @ V2c ) ) ) ) )
% 5.44/5.72 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Elogroot_2ELOG @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1b ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( inj__ty_2Enum_2Enum @ V2c ) ) ) ) )
% 5.44/5.72 = V2c ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Elogroot_2ELOG__LE__MONO,axiom,
% 5.44/5.72 ! [V0a: tp__ty_2Enum_2Enum,V1x: tp__ty_2Enum_2Enum,V2y: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0a ) ) )
% 5.44/5.72 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.44/5.72 => ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( inj__ty_2Enum_2Enum @ V2y ) ) )
% 5.44/5.72 => ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Elogroot_2ELOG @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( ap @ c_2Elogroot_2ELOG @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( inj__ty_2Enum_2Enum @ V2y ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Elogroot_2ELOG__RWT,axiom,
% 5.44/5.72 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) )
% 5.44/5.72 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.44/5.72 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Elogroot_2ELOG @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ c_2Enum_2ESUC @ ( ap @ ( ap @ c_2Elogroot_2ELOG @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Elogroot_2ELOG__EQ__0,axiom,
% 5.44/5.72 ! [V0a: tp__ty_2Enum_2Enum,V1b: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0a ) ) )
% 5.44/5.72 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) ) )
% 5.44/5.72 => ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Elogroot_2ELOG @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) )
% 5.44/5.72 = fo__c_2Enum_2E0 )
% 5.44/5.72 <=> ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1b ) ) @ ( inj__ty_2Enum_2Enum @ V0a ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Elogroot_2ELOG__MULT,axiom,
% 5.44/5.72 ! [V0b: tp__ty_2Enum_2Enum,V1x: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0b ) ) )
% 5.44/5.72 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.44/5.72 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Elogroot_2ELOG @ ( inj__ty_2Enum_2Enum @ V0b ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V0b ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enum_2ESUC @ ( ap @ ( ap @ c_2Elogroot_2ELOG @ ( inj__ty_2Enum_2Enum @ V0b ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Elogroot_2ELOG__add__digit,axiom,
% 5.44/5.72 ! [V0b: tp__ty_2Enum_2Enum,V1x: tp__ty_2Enum_2Enum,V2y: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0b ) ) )
% 5.44/5.72 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V2y ) ) )
% 5.44/5.72 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( inj__ty_2Enum_2Enum @ V0b ) ) ) )
% 5.44/5.72 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Elogroot_2ELOG @ ( inj__ty_2Enum_2Enum @ V0b ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V0b ) ) @ ( inj__ty_2Enum_2Enum @ V2y ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enum_2ESUC @ ( ap @ ( ap @ c_2Elogroot_2ELOG @ ( inj__ty_2Enum_2Enum @ V0b ) ) @ ( inj__ty_2Enum_2Enum @ V2y ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Elogroot_2EROOT__DIV,axiom,
% 5.44/5.72 ! [V0r: tp__ty_2Enum_2Enum,V1x: tp__ty_2Enum_2Enum,V2y: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0r ) ) )
% 5.44/5.72 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V2y ) ) ) )
% 5.44/5.72 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( ap @ ( ap @ c_2Elogroot_2EROOT @ ( inj__ty_2Enum_2Enum @ V0r ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( inj__ty_2Enum_2Enum @ V2y ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Elogroot_2EROOT @ ( inj__ty_2Enum_2Enum @ V0r ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( inj__ty_2Enum_2Enum @ V2y ) ) @ ( inj__ty_2Enum_2Enum @ V0r ) ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Elogroot_2EROOT__LE__MONO,axiom,
% 5.44/5.72 ! [V0r: tp__ty_2Enum_2Enum,V1x: tp__ty_2Enum_2Enum,V2y: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0r ) ) )
% 5.44/5.72 => ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( inj__ty_2Enum_2Enum @ V2y ) ) )
% 5.44/5.72 => ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Elogroot_2EROOT @ ( inj__ty_2Enum_2Enum @ V0r ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( ap @ c_2Elogroot_2EROOT @ ( inj__ty_2Enum_2Enum @ V0r ) ) @ ( inj__ty_2Enum_2Enum @ V2y ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Elogroot_2EEXP__MUL,axiom,
% 5.44/5.72 ! [V0a: tp__ty_2Enum_2Enum,V1b: tp__ty_2Enum_2Enum,V2c: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) ) @ ( inj__ty_2Enum_2Enum @ V2c ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V1b ) ) @ ( inj__ty_2Enum_2Enum @ V2c ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Elogroot_2ELOG__ROOT,axiom,
% 5.44/5.72 ! [V0a: tp__ty_2Enum_2Enum,V1x: tp__ty_2Enum_2Enum,V2r: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0a ) ) )
% 5.44/5.72 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.44/5.72 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V2r ) ) ) )
% 5.44/5.72 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Elogroot_2ELOG @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( ap @ ( ap @ c_2Elogroot_2EROOT @ ( inj__ty_2Enum_2Enum @ V2r ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( ap @ ( ap @ c_2Elogroot_2ELOG @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( inj__ty_2Enum_2Enum @ V2r ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Elogroot_2ELOG__MOD,axiom,
% 5.44/5.72 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.72 => ( V0n
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( ap @ c_2Elogroot_2ELOG @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( ap @ c_2Elogroot_2ELOG @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Elogroot_2EROOT__COMPUTE,axiom,
% 5.44/5.72 ! [V0r: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0r ) ) )
% 5.44/5.72 => ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Elogroot_2EROOT @ ( inj__ty_2Enum_2Enum @ V0r ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.44/5.72 = fo__c_2Enum_2E0 )
% 5.44/5.72 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Elogroot_2EROOT @ ( inj__ty_2Enum_2Enum @ V0r ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum
% 5.44/5.72 @ ( ap
% 5.44/5.72 @ ( ap @ ( c_2Ebool_2ELET @ ty_2Enum_2Enum @ ty_2Enum_2Enum )
% 5.44/5.72 @ ( lam @ ty_2Enum_2Enum
% 5.44/5.72 @ ^ [V2x: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Enum_2ESUC @ V2x ) ) @ ( inj__ty_2Enum_2Enum @ V0r ) ) ) ) @ V2x ) @ ( ap @ c_2Enum_2ESUC @ V2x ) ) ) )
% 5.44/5.72 @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( ap @ c_2Elogroot_2EROOT @ ( inj__ty_2Enum_2Enum @ V0r ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0r ) ) ) ) ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(ax_thm_2Elogroot_2ESQRTd__def,axiom,
% 5.44/5.72 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum @ ( ap @ c_2Elogroot_2ESQRTd @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.72 = ( surj__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ c_2Elogroot_2EROOT @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ ( ap @ c_2Elogroot_2EROOT @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( ap @ ( ap @ c_2Elogroot_2EROOT @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(ax_thm_2Elogroot_2EiSQRT0__def,axiom,
% 5.44/5.72 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum @ ( ap @ c_2Elogroot_2EiSQRT0 @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.72 = ( surj__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum
% 5.44/5.72 @ ( ap
% 5.44/5.72 @ ( ap @ ( c_2Ebool_2ELET @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.44/5.72 @ ( lam @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum )
% 5.44/5.72 @ ^ [V1p: $i] :
% 5.44/5.72 ( ap
% 5.44/5.72 @ ( ap @ ( c_2Ebool_2ELET @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.44/5.72 @ ( lam @ ty_2Enum_2Enum
% 5.44/5.72 @ ^ [V2d: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ V2d ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( c_2Epair_2EFST @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ V1p ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( c_2Epair_2ESND @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ V1p ) ) ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( ap @ c_2Enum_2ESUC @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( c_2Epair_2EFST @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ V1p ) ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ V2d ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.44/5.72 @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ ( c_2Epair_2ESND @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ V1p ) ) @ ( ap @ ( c_2Epair_2EFST @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ V1p ) ) ) ) )
% 5.44/5.72 @ ( ap @ c_2Elogroot_2ESQRTd @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(ax_thm_2Elogroot_2EiSQRT1__def,axiom,
% 5.44/5.72 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum @ ( ap @ c_2Elogroot_2EiSQRT1 @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.72 = ( surj__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum
% 5.44/5.72 @ ( ap
% 5.44/5.72 @ ( ap @ ( c_2Ebool_2ELET @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.44/5.72 @ ( lam @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum )
% 5.44/5.72 @ ^ [V1p: $i] :
% 5.44/5.72 ( ap
% 5.44/5.72 @ ( ap @ ( c_2Ebool_2ELET @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.44/5.72 @ ( lam @ ty_2Enum_2Enum
% 5.44/5.72 @ ^ [V2d: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ V2d ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( c_2Epair_2EFST @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ V1p ) ) ) @ ( ap @ c_2Enum_2ESUC @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( c_2Epair_2ESND @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ V1p ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( ap @ c_2Enum_2ESUC @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( c_2Epair_2EFST @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ V1p ) ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ V2d ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) )
% 5.44/5.72 @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ c_2Enum_2ESUC @ ( ap @ ( c_2Epair_2ESND @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ V1p ) ) ) @ ( ap @ ( c_2Epair_2EFST @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ V1p ) ) ) ) )
% 5.44/5.72 @ ( ap @ c_2Elogroot_2ESQRTd @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(ax_thm_2Elogroot_2EiSQRT2__def,axiom,
% 5.44/5.72 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum @ ( ap @ c_2Elogroot_2EiSQRT2 @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.72 = ( surj__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum
% 5.44/5.72 @ ( ap
% 5.44/5.72 @ ( ap @ ( c_2Ebool_2ELET @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.44/5.72 @ ( lam @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum )
% 5.44/5.72 @ ^ [V1p: $i] :
% 5.44/5.72 ( ap
% 5.44/5.72 @ ( ap @ ( c_2Ebool_2ELET @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.44/5.72 @ ( lam @ ty_2Enum_2Enum
% 5.44/5.72 @ ^ [V2d: $i] :
% 5.44/5.72 ( ap
% 5.44/5.72 @ ( ap @ ( c_2Ebool_2ELET @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.44/5.72 @ ( lam @ ty_2Enum_2Enum
% 5.44/5.72 @ ^ [V3c: $i] :
% 5.44/5.72 ( ap
% 5.44/5.72 @ ( ap @ ( c_2Ebool_2ELET @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.44/5.72 @ ( lam @ ty_2Enum_2Enum
% 5.44/5.72 @ ^ [V4e: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ V4e ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ V2d ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ V3c ) ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( ap @ c_2Enum_2ESUC @ V2d ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ V4e ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.44/5.72 @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ V3c ) @ V2d ) ) ) )
% 5.44/5.72 @ ( ap @ c_2Enum_2ESUC @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( c_2Epair_2ESND @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ V1p ) ) ) ) ) )
% 5.44/5.72 @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( c_2Epair_2EFST @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ V1p ) ) ) ) )
% 5.44/5.72 @ ( ap @ c_2Elogroot_2ESQRTd @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(ax_thm_2Elogroot_2EiSQRT3__def,axiom,
% 5.44/5.72 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum @ ( ap @ c_2Elogroot_2EiSQRT3 @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.72 = ( surj__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum
% 5.44/5.72 @ ( ap
% 5.44/5.72 @ ( ap @ ( c_2Ebool_2ELET @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.44/5.72 @ ( lam @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum )
% 5.44/5.72 @ ^ [V1p: $i] :
% 5.44/5.72 ( ap
% 5.44/5.72 @ ( ap @ ( c_2Ebool_2ELET @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.44/5.72 @ ( lam @ ty_2Enum_2Enum
% 5.44/5.72 @ ^ [V2d: $i] :
% 5.44/5.72 ( ap
% 5.44/5.72 @ ( ap @ ( c_2Ebool_2ELET @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.44/5.72 @ ( lam @ ty_2Enum_2Enum
% 5.44/5.72 @ ^ [V3c: $i] :
% 5.44/5.72 ( ap
% 5.44/5.72 @ ( ap @ ( c_2Ebool_2ELET @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.44/5.72 @ ( lam @ ty_2Enum_2Enum
% 5.44/5.72 @ ^ [V4e: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ V4e ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ V2d ) @ ( ap @ c_2Enum_2ESUC @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ V3c ) ) ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( ap @ c_2Enum_2ESUC @ V2d ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ V4e ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) )
% 5.44/5.72 @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ c_2Enum_2ESUC @ V3c ) ) @ V2d ) ) ) )
% 5.44/5.72 @ ( ap @ c_2Enum_2ESUC @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( c_2Epair_2ESND @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ V1p ) ) ) ) ) )
% 5.44/5.72 @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( c_2Epair_2EFST @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ V1p ) ) ) ) )
% 5.44/5.72 @ ( ap @ c_2Elogroot_2ESQRTd @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Elogroot_2Enumeral__sqrt,axiom,
% 5.44/5.72 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( ( surj__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum @ ( ap @ c_2Elogroot_2ESQRTd @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) )
% 5.44/5.72 = ( surj__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) )
% 5.44/5.72 & ( ( surj__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum @ ( ap @ c_2Elogroot_2ESQRTd @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) )
% 5.44/5.72 = ( surj__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) )
% 5.44/5.72 & ( ( surj__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum @ ( ap @ c_2Elogroot_2ESQRTd @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) )
% 5.44/5.72 = ( surj__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.44/5.72 & ( ( surj__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum @ ( ap @ c_2Elogroot_2ESQRTd @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) )
% 5.44/5.72 = ( surj__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum @ ( ap @ c_2Elogroot_2EiSQRT3 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) )
% 5.44/5.72 & ( ( surj__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum @ ( ap @ c_2Elogroot_2ESQRTd @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) )
% 5.44/5.72 = ( surj__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum @ ( ap @ c_2Elogroot_2EiSQRT0 @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) )
% 5.44/5.72 & ( ( surj__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum @ ( ap @ c_2Elogroot_2ESQRTd @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) )
% 5.44/5.72 = ( surj__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum @ ( ap @ c_2Elogroot_2EiSQRT1 @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) )
% 5.44/5.72 & ( ( surj__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum @ ( ap @ c_2Elogroot_2ESQRTd @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) )
% 5.44/5.72 = ( surj__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum @ ( ap @ c_2Elogroot_2EiSQRT2 @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) )
% 5.44/5.72 & ( ( surj__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum @ ( ap @ c_2Elogroot_2ESQRTd @ ( ap @ c_2Enum_2ESUC @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) )
% 5.44/5.72 = ( surj__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum @ ( ap @ c_2Elogroot_2EiSQRT0 @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) )
% 5.44/5.72 & ( ( surj__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum @ ( ap @ c_2Elogroot_2ESQRTd @ ( ap @ c_2Enum_2ESUC @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) )
% 5.44/5.72 = ( surj__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum @ ( ap @ c_2Elogroot_2EiSQRT1 @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) )
% 5.44/5.72 & ( ( surj__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum @ ( ap @ c_2Elogroot_2ESQRTd @ ( ap @ c_2Enum_2ESUC @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) )
% 5.44/5.72 = ( surj__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum @ ( ap @ c_2Elogroot_2EiSQRT2 @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) )
% 5.44/5.72 & ( ( surj__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum @ ( ap @ c_2Elogroot_2ESQRTd @ ( ap @ c_2Enum_2ESUC @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) )
% 5.44/5.72 = ( surj__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum @ ( ap @ c_2Elogroot_2EiSQRT3 @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Elogroot_2Enumeral__root2,axiom,
% 5.44/5.72 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Elogroot_2EROOT @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Epair_2EFST @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( ap @ c_2Elogroot_2ESQRTd @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 %------------------------------------------------------------------------------
% 5.44/5.72 %------------------------------------------------------------------------------
% 5.44/5.72 thf(tp_c_2Egcd_2Egcd,type,
% 5.44/5.72 c_2Egcd_2Egcd: $i ).
% 5.44/5.72
% 5.44/5.72 thf(mem_c_2Egcd_2Egcd,axiom,
% 5.44/5.72 mem @ c_2Egcd_2Egcd @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(stp_fo_c_2Egcd_2Egcd,type,
% 5.44/5.72 fo__c_2Egcd_2Egcd: tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum ).
% 5.44/5.72
% 5.44/5.72 thf(stp_eq_fo_c_2Egcd_2Egcd,axiom,
% 5.44/5.72 ! [X0: tp__ty_2Enum_2Enum,X1: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( inj__ty_2Enum_2Enum @ ( fo__c_2Egcd_2Egcd @ X0 @ X1 ) )
% 5.44/5.72 = ( ap @ ( ap @ c_2Egcd_2Egcd @ ( inj__ty_2Enum_2Enum @ X0 ) ) @ ( inj__ty_2Enum_2Enum @ X1 ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(tp_c_2Egcd_2Eis__gcd,type,
% 5.44/5.72 c_2Egcd_2Eis__gcd: $i ).
% 5.44/5.72
% 5.44/5.72 thf(mem_c_2Egcd_2Eis__gcd,axiom,
% 5.44/5.72 mem @ c_2Egcd_2Eis__gcd @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ bool ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(tp_c_2Egcd_2Elcm,type,
% 5.44/5.72 c_2Egcd_2Elcm: $i ).
% 5.44/5.72
% 5.44/5.72 thf(mem_c_2Egcd_2Elcm,axiom,
% 5.44/5.72 mem @ c_2Egcd_2Elcm @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(stp_fo_c_2Egcd_2Elcm,type,
% 5.44/5.72 fo__c_2Egcd_2Elcm: tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum ).
% 5.44/5.72
% 5.44/5.72 thf(stp_eq_fo_c_2Egcd_2Elcm,axiom,
% 5.44/5.72 ! [X0: tp__ty_2Enum_2Enum,X1: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( inj__ty_2Enum_2Enum @ ( fo__c_2Egcd_2Elcm @ X0 @ X1 ) )
% 5.44/5.72 = ( ap @ ( ap @ c_2Egcd_2Elcm @ ( inj__ty_2Enum_2Enum @ X0 ) ) @ ( inj__ty_2Enum_2Enum @ X1 ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(ax_thm_2Egcd_2Eis__gcd__def,axiom,
% 5.44/5.72 ! [V0a: tp__ty_2Enum_2Enum,V1b: tp__ty_2Enum_2Enum,V2c: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( p @ ( ap @ ( ap @ ( ap @ c_2Egcd_2Eis__gcd @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) @ ( inj__ty_2Enum_2Enum @ V2c ) ) )
% 5.44/5.72 <=> ( ( p @ ( ap @ ( ap @ c_2Edivides_2Edivides @ ( inj__ty_2Enum_2Enum @ V2c ) ) @ ( inj__ty_2Enum_2Enum @ V0a ) ) )
% 5.44/5.72 & ( p @ ( ap @ ( ap @ c_2Edivides_2Edivides @ ( inj__ty_2Enum_2Enum @ V2c ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) )
% 5.44/5.72 & ! [V3d: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( ( p @ ( ap @ ( ap @ c_2Edivides_2Edivides @ ( inj__ty_2Enum_2Enum @ V3d ) ) @ ( inj__ty_2Enum_2Enum @ V0a ) ) )
% 5.44/5.72 & ( p @ ( ap @ ( ap @ c_2Edivides_2Edivides @ ( inj__ty_2Enum_2Enum @ V3d ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) ) )
% 5.44/5.72 => ( p @ ( ap @ ( ap @ c_2Edivides_2Edivides @ ( inj__ty_2Enum_2Enum @ V3d ) ) @ ( inj__ty_2Enum_2Enum @ V2c ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Egcd_2EIS__GCD__UNIQUE,axiom,
% 5.44/5.72 ! [V0a: tp__ty_2Enum_2Enum,V1b: tp__ty_2Enum_2Enum,V2c: tp__ty_2Enum_2Enum,V3d: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( ( p @ ( ap @ ( ap @ ( ap @ c_2Egcd_2Eis__gcd @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) @ ( inj__ty_2Enum_2Enum @ V2c ) ) )
% 5.44/5.72 & ( p @ ( ap @ ( ap @ ( ap @ c_2Egcd_2Eis__gcd @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) @ ( inj__ty_2Enum_2Enum @ V3d ) ) ) )
% 5.44/5.72 => ( V2c = V3d ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Egcd_2EIS__GCD__REF,axiom,
% 5.44/5.72 ! [V0a: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ ( ap @ c_2Egcd_2Eis__gcd @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( inj__ty_2Enum_2Enum @ V0a ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Egcd_2EIS__GCD__SYM,axiom,
% 5.44/5.72 ! [V0a: tp__ty_2Enum_2Enum,V1b: tp__ty_2Enum_2Enum,V2c: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( p @ ( ap @ ( ap @ ( ap @ c_2Egcd_2Eis__gcd @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) @ ( inj__ty_2Enum_2Enum @ V2c ) ) )
% 5.44/5.72 <=> ( p @ ( ap @ ( ap @ ( ap @ c_2Egcd_2Eis__gcd @ ( inj__ty_2Enum_2Enum @ V1b ) ) @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( inj__ty_2Enum_2Enum @ V2c ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Egcd_2EIS__GCD__0R,axiom,
% 5.44/5.72 ! [V0a: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ ( ap @ c_2Egcd_2Eis__gcd @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0a ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Egcd_2EIS__GCD__0L,axiom,
% 5.44/5.72 ! [V0a: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ ( ap @ c_2Egcd_2Eis__gcd @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( inj__ty_2Enum_2Enum @ V0a ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Egcd_2EPRIME__IS__GCD,axiom,
% 5.44/5.72 ! [V0p: tp__ty_2Enum_2Enum,V1b: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( p @ ( ap @ c_2Edivides_2Eprime @ ( inj__ty_2Enum_2Enum @ V0p ) ) )
% 5.44/5.72 => ( ( p @ ( ap @ ( ap @ c_2Edivides_2Edivides @ ( inj__ty_2Enum_2Enum @ V0p ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) )
% 5.44/5.72 | ( p @ ( ap @ ( ap @ ( ap @ c_2Egcd_2Eis__gcd @ ( inj__ty_2Enum_2Enum @ V0p ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Egcd_2EIS__GCD__MINUS__L,axiom,
% 5.44/5.72 ! [V0a: tp__ty_2Enum_2Enum,V1b: tp__ty_2Enum_2Enum,V2c: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1b ) ) @ ( inj__ty_2Enum_2Enum @ V0a ) ) )
% 5.44/5.72 & ( p @ ( ap @ ( ap @ ( ap @ c_2Egcd_2Eis__gcd @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) @ ( inj__ty_2Enum_2Enum @ V2c ) ) ) )
% 5.44/5.72 => ( p @ ( ap @ ( ap @ ( ap @ c_2Egcd_2Eis__gcd @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) @ ( inj__ty_2Enum_2Enum @ V2c ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Egcd_2EIS__GCD__MINUS__R,axiom,
% 5.44/5.72 ! [V0a: tp__ty_2Enum_2Enum,V1b: tp__ty_2Enum_2Enum,V2c: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) )
% 5.44/5.72 & ( p @ ( ap @ ( ap @ ( ap @ c_2Egcd_2Eis__gcd @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V1b ) ) @ ( inj__ty_2Enum_2Enum @ V0a ) ) ) @ ( inj__ty_2Enum_2Enum @ V2c ) ) ) )
% 5.44/5.72 => ( p @ ( ap @ ( ap @ ( ap @ c_2Egcd_2Eis__gcd @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) @ ( inj__ty_2Enum_2Enum @ V2c ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Egcd_2Egcd__ind,axiom,
% 5.44/5.72 ! [V0P: $i] :
% 5.44/5.72 ( ( mem @ V0P @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ bool ) ) )
% 5.44/5.72 => ( ( ! [V1y: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ V0P @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V1y ) ) )
% 5.44/5.72 & ! [V2x: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ V0P @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V2x ) ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.44/5.72 & ! [V3x: tp__ty_2Enum_2Enum,V4y: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( ( ~ ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V4y ) ) @ ( inj__ty_2Enum_2Enum @ V3x ) ) )
% 5.44/5.72 => ( p @ ( ap @ ( ap @ V0P @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V3x ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V4y ) ) @ ( inj__ty_2Enum_2Enum @ V3x ) ) ) ) )
% 5.44/5.72 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V4y ) ) @ ( inj__ty_2Enum_2Enum @ V3x ) ) )
% 5.44/5.72 => ( p @ ( ap @ ( ap @ V0P @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V3x ) ) @ ( inj__ty_2Enum_2Enum @ V4y ) ) ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V4y ) ) ) ) ) )
% 5.44/5.72 => ( p @ ( ap @ ( ap @ V0P @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V3x ) ) ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V4y ) ) ) ) ) )
% 5.44/5.72 => ! [V5v: tp__ty_2Enum_2Enum,V6v1: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ V0P @ ( inj__ty_2Enum_2Enum @ V5v ) ) @ ( inj__ty_2Enum_2Enum @ V6v1 ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Egcd_2Egcd__def,axiom,
% 5.44/5.72 ( ! [V0y: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Egcd_2Egcd @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0y ) ) )
% 5.44/5.72 = V0y )
% 5.44/5.72 & ! [V1x: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Egcd_2Egcd @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.44/5.72 & ! [V2y: tp__ty_2Enum_2Enum,V3x: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Egcd_2Egcd @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V3x ) ) ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V2y ) ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V2y ) ) @ ( inj__ty_2Enum_2Enum @ V3x ) ) ) @ ( ap @ ( ap @ c_2Egcd_2Egcd @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V3x ) ) @ ( inj__ty_2Enum_2Enum @ V2y ) ) ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V2y ) ) ) ) @ ( ap @ ( ap @ c_2Egcd_2Egcd @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V3x ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V2y ) ) @ ( inj__ty_2Enum_2Enum @ V3x ) ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Egcd_2Egcd__def__compute,axiom,
% 5.44/5.72 ( ! [V0y: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Egcd_2Egcd @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0y ) ) )
% 5.44/5.72 = V0y )
% 5.44/5.72 & ! [V1x: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Egcd_2Egcd @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) ) )
% 5.44/5.72 & ! [V2x: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Egcd_2Egcd @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V2x ) ) ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V2x ) ) ) ) )
% 5.44/5.72 & ! [V3y: tp__ty_2Enum_2Enum,V4x: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Egcd_2Egcd @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V4x ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V3y ) ) ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V3y ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V4x ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( ap @ c_2Egcd_2Egcd @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V4x ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V3y ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V3y ) ) ) ) ) @ ( ap @ ( ap @ c_2Egcd_2Egcd @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V4x ) ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V3y ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V4x ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) )
% 5.44/5.72 & ! [V5y: tp__ty_2Enum_2Enum,V6x: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Egcd_2Egcd @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V6x ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V5y ) ) ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V5y ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V6x ) ) ) ) ) @ ( ap @ ( ap @ c_2Egcd_2Egcd @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V6x ) ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V5y ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V5y ) ) ) ) ) @ ( ap @ ( ap @ c_2Egcd_2Egcd @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V6x ) ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V5y ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V6x ) ) ) ) ) ) ) )
% 5.44/5.72 & ! [V7y: tp__ty_2Enum_2Enum,V8x: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Egcd_2Egcd @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V8x ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V7y ) ) ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V7y ) ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V8x ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( ap @ c_2Egcd_2Egcd @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V8x ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V7y ) ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V7y ) ) ) ) ) @ ( ap @ ( ap @ c_2Egcd_2Egcd @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V8x ) ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V7y ) ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V8x ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) )
% 5.44/5.72 & ! [V9y: tp__ty_2Enum_2Enum,V10x: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Egcd_2Egcd @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V10x ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V9y ) ) ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V9y ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V10x ) ) ) ) ) @ ( ap @ ( ap @ c_2Egcd_2Egcd @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V10x ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V9y ) ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V9y ) ) ) ) ) @ ( ap @ ( ap @ c_2Egcd_2Egcd @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V10x ) ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V9y ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V10x ) ) ) ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Egcd_2EGCD__IS__GCD,axiom,
% 5.44/5.72 ! [V0a: tp__ty_2Enum_2Enum,V1b: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ ( ap @ c_2Egcd_2Eis__gcd @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) @ ( ap @ ( ap @ c_2Egcd_2Egcd @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Egcd_2EGCD__IS__GREATEST__COMMON__DIVISOR,axiom,
% 5.44/5.72 ! [V0a: tp__ty_2Enum_2Enum,V1b: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( p @ ( ap @ ( ap @ c_2Edivides_2Edivides @ ( ap @ ( ap @ c_2Egcd_2Egcd @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) ) @ ( inj__ty_2Enum_2Enum @ V0a ) ) )
% 5.44/5.72 & ( p @ ( ap @ ( ap @ c_2Edivides_2Edivides @ ( ap @ ( ap @ c_2Egcd_2Egcd @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) )
% 5.44/5.72 & ! [V2d: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( ( p @ ( ap @ ( ap @ c_2Edivides_2Edivides @ ( inj__ty_2Enum_2Enum @ V2d ) ) @ ( inj__ty_2Enum_2Enum @ V0a ) ) )
% 5.44/5.72 & ( p @ ( ap @ ( ap @ c_2Edivides_2Edivides @ ( inj__ty_2Enum_2Enum @ V2d ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) ) )
% 5.44/5.72 => ( p @ ( ap @ ( ap @ c_2Edivides_2Edivides @ ( inj__ty_2Enum_2Enum @ V2d ) ) @ ( ap @ ( ap @ c_2Egcd_2Egcd @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Egcd_2EGCD__REF,axiom,
% 5.44/5.72 ! [V0a: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Egcd_2Egcd @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( inj__ty_2Enum_2Enum @ V0a ) ) )
% 5.44/5.72 = V0a ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Egcd_2EGCD__SYM,axiom,
% 5.44/5.72 ! [V0a: tp__ty_2Enum_2Enum,V1b: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Egcd_2Egcd @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Egcd_2Egcd @ ( inj__ty_2Enum_2Enum @ V1b ) ) @ ( inj__ty_2Enum_2Enum @ V0a ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Egcd_2EGCD__0R,axiom,
% 5.44/5.72 ! [V0a: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Egcd_2Egcd @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.44/5.72 = V0a ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Egcd_2EGCD__0L,axiom,
% 5.44/5.72 ! [V0a: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Egcd_2Egcd @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0a ) ) )
% 5.44/5.72 = V0a ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Egcd_2EGCD__ADD__R,axiom,
% 5.44/5.72 ! [V0a: tp__ty_2Enum_2Enum,V1b: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Egcd_2Egcd @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Egcd_2Egcd @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Egcd_2EGCD__ADD__R__THM,axiom,
% 5.44/5.72 ( ! [V0a: tp__ty_2Enum_2Enum,V1b: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Egcd_2Egcd @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Egcd_2Egcd @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) ) )
% 5.44/5.72 & ! [V2a: tp__ty_2Enum_2Enum,V3b: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Egcd_2Egcd @ ( inj__ty_2Enum_2Enum @ V2a ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V3b ) ) @ ( inj__ty_2Enum_2Enum @ V2a ) ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Egcd_2Egcd @ ( inj__ty_2Enum_2Enum @ V2a ) ) @ ( inj__ty_2Enum_2Enum @ V3b ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Egcd_2EGCD__ADD__L,axiom,
% 5.44/5.72 ! [V0a: tp__ty_2Enum_2Enum,V1b: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Egcd_2Egcd @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) ) @ ( inj__ty_2Enum_2Enum @ V0a ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Egcd_2Egcd @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Egcd_2EGCD__ADD__L__THM,axiom,
% 5.44/5.72 ( ! [V0a: tp__ty_2Enum_2Enum,V1b: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Egcd_2Egcd @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) ) @ ( inj__ty_2Enum_2Enum @ V0a ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Egcd_2Egcd @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) ) )
% 5.44/5.72 & ! [V2a: tp__ty_2Enum_2Enum,V3b: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Egcd_2Egcd @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V3b ) ) @ ( inj__ty_2Enum_2Enum @ V2a ) ) ) @ ( inj__ty_2Enum_2Enum @ V2a ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Egcd_2Egcd @ ( inj__ty_2Enum_2Enum @ V2a ) ) @ ( inj__ty_2Enum_2Enum @ V3b ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Egcd_2EGCD__EQ__0,axiom,
% 5.44/5.72 ! [V0n: tp__ty_2Enum_2Enum,V1m: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Egcd_2Egcd @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) )
% 5.44/5.72 = fo__c_2Enum_2E0 )
% 5.44/5.72 <=> ( ( V0n = fo__c_2Enum_2E0 )
% 5.44/5.72 & ( V1m = fo__c_2Enum_2E0 ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Egcd_2EGCD__1,axiom,
% 5.44/5.72 ! [V0x: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Egcd_2Egcd @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0x ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.44/5.72 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Egcd_2Egcd @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Egcd_2EPRIME__GCD,axiom,
% 5.44/5.72 ! [V0p: tp__ty_2Enum_2Enum,V1b: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( p @ ( ap @ c_2Edivides_2Eprime @ ( inj__ty_2Enum_2Enum @ V0p ) ) )
% 5.44/5.72 => ( ( p @ ( ap @ ( ap @ c_2Edivides_2Edivides @ ( inj__ty_2Enum_2Enum @ V0p ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) )
% 5.44/5.72 | ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Egcd_2Egcd @ ( inj__ty_2Enum_2Enum @ V0p ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Egcd_2EL__EUCLIDES,axiom,
% 5.44/5.72 ! [V0a: tp__ty_2Enum_2Enum,V1b: tp__ty_2Enum_2Enum,V2c: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Egcd_2Egcd @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.44/5.72 & ( p @ ( ap @ ( ap @ c_2Edivides_2Edivides @ ( inj__ty_2Enum_2Enum @ V1b ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( inj__ty_2Enum_2Enum @ V2c ) ) ) ) )
% 5.44/5.72 => ( p @ ( ap @ ( ap @ c_2Edivides_2Edivides @ ( inj__ty_2Enum_2Enum @ V1b ) ) @ ( inj__ty_2Enum_2Enum @ V2c ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Egcd_2EP__EUCLIDES,axiom,
% 5.44/5.72 ! [V0p: tp__ty_2Enum_2Enum,V1a: tp__ty_2Enum_2Enum,V2b: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( ( p @ ( ap @ c_2Edivides_2Eprime @ ( inj__ty_2Enum_2Enum @ V0p ) ) )
% 5.44/5.72 & ( p @ ( ap @ ( ap @ c_2Edivides_2Edivides @ ( inj__ty_2Enum_2Enum @ V0p ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V1a ) ) @ ( inj__ty_2Enum_2Enum @ V2b ) ) ) ) )
% 5.44/5.72 => ( ( p @ ( ap @ ( ap @ c_2Edivides_2Edivides @ ( inj__ty_2Enum_2Enum @ V0p ) ) @ ( inj__ty_2Enum_2Enum @ V1a ) ) )
% 5.44/5.72 | ( p @ ( ap @ ( ap @ c_2Edivides_2Edivides @ ( inj__ty_2Enum_2Enum @ V0p ) ) @ ( inj__ty_2Enum_2Enum @ V2b ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Egcd_2EFACTOR__OUT__GCD,axiom,
% 5.44/5.72 ! [V0n: tp__ty_2Enum_2Enum,V1m: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( ( V0n != fo__c_2Enum_2E0 )
% 5.44/5.72 & ( V1m != fo__c_2Enum_2E0 ) )
% 5.44/5.72 => ? [V2p: tp__ty_2Enum_2Enum,V3q: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( V0n
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V2p ) ) @ ( ap @ ( ap @ c_2Egcd_2Egcd @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) ) )
% 5.44/5.72 & ( V1m
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V3q ) ) @ ( ap @ ( ap @ c_2Egcd_2Egcd @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) ) )
% 5.44/5.72 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Egcd_2Egcd @ ( inj__ty_2Enum_2Enum @ V2p ) ) @ ( inj__ty_2Enum_2Enum @ V3q ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Egcd_2EGCD__SUCfree__ind,axiom,
% 5.44/5.72 ! [V0P: $i] :
% 5.44/5.72 ( ( mem @ V0P @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ bool ) ) )
% 5.44/5.72 => ( ( ! [V1y: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ V0P @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V1y ) ) )
% 5.44/5.72 & ! [V2x: tp__ty_2Enum_2Enum,V3y: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( p @ ( ap @ ( ap @ V0P @ ( inj__ty_2Enum_2Enum @ V2x ) ) @ ( inj__ty_2Enum_2Enum @ V3y ) ) )
% 5.44/5.72 => ( p @ ( ap @ ( ap @ V0P @ ( inj__ty_2Enum_2Enum @ V3y ) ) @ ( inj__ty_2Enum_2Enum @ V2x ) ) ) )
% 5.44/5.72 & ! [V4x: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ V0P @ ( inj__ty_2Enum_2Enum @ V4x ) ) @ ( inj__ty_2Enum_2Enum @ V4x ) ) )
% 5.44/5.72 & ! [V5x: tp__ty_2Enum_2Enum,V6y: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V5x ) ) )
% 5.44/5.72 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V6y ) ) )
% 5.44/5.72 & ( p @ ( ap @ ( ap @ V0P @ ( inj__ty_2Enum_2Enum @ V5x ) ) @ ( inj__ty_2Enum_2Enum @ V6y ) ) ) )
% 5.44/5.72 => ( p @ ( ap @ ( ap @ V0P @ ( inj__ty_2Enum_2Enum @ V5x ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V5x ) ) @ ( inj__ty_2Enum_2Enum @ V6y ) ) ) ) ) )
% 5.44/5.72 => ! [V7m: tp__ty_2Enum_2Enum,V8n: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ V0P @ ( inj__ty_2Enum_2Enum @ V7m ) ) @ ( inj__ty_2Enum_2Enum @ V8n ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Egcd_2ELINEAR__GCD,axiom,
% 5.44/5.72 ! [V0n: tp__ty_2Enum_2Enum,V1m: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( V0n != fo__c_2Enum_2E0 )
% 5.44/5.72 => ? [V2p: tp__ty_2Enum_2Enum,V3q: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V2p ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V3q ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) @ ( ap @ ( ap @ c_2Egcd_2Egcd @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Egcd_2EGCD__EFFICIENTLY,axiom,
% 5.44/5.72 ! [V0a: tp__ty_2Enum_2Enum,V1b: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Egcd_2Egcd @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) @ ( ap @ ( ap @ c_2Egcd_2Egcd @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V1b ) ) @ ( inj__ty_2Enum_2Enum @ V0a ) ) ) @ ( inj__ty_2Enum_2Enum @ V0a ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(ax_thm_2Egcd_2Elcm__def,axiom,
% 5.44/5.72 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Egcd_2Elcm @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ ( ap @ ( ap @ c_2Egcd_2Egcd @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Egcd_2ELCM__IS__LEAST__COMMON__MULTIPLE,axiom,
% 5.44/5.72 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( p @ ( ap @ ( ap @ c_2Edivides_2Edivides @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( ap @ ( ap @ c_2Egcd_2Elcm @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.44/5.72 & ( p @ ( ap @ ( ap @ c_2Edivides_2Edivides @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ ( ap @ c_2Egcd_2Elcm @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.44/5.72 & ! [V2p: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( ( p @ ( ap @ ( ap @ c_2Edivides_2Edivides @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) )
% 5.44/5.72 & ( p @ ( ap @ ( ap @ c_2Edivides_2Edivides @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) )
% 5.44/5.72 => ( p @ ( ap @ ( ap @ c_2Edivides_2Edivides @ ( ap @ ( ap @ c_2Egcd_2Elcm @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Egcd_2ELCM__0,axiom,
% 5.44/5.72 ! [V0x: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Egcd_2Elcm @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0x ) ) )
% 5.44/5.72 = fo__c_2Enum_2E0 )
% 5.44/5.72 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Egcd_2Elcm @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.44/5.72 = fo__c_2Enum_2E0 ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Egcd_2ELCM__1,axiom,
% 5.44/5.72 ! [V0x: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Egcd_2Elcm @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0x ) ) )
% 5.44/5.72 = V0x )
% 5.44/5.72 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Egcd_2Elcm @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.44/5.72 = V0x ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Egcd_2ELCM__COMM,axiom,
% 5.44/5.72 ! [V0a: tp__ty_2Enum_2Enum,V1b: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Egcd_2Elcm @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Egcd_2Elcm @ ( inj__ty_2Enum_2Enum @ V1b ) ) @ ( inj__ty_2Enum_2Enum @ V0a ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Egcd_2ELCM__LE,axiom,
% 5.44/5.72 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) )
% 5.44/5.72 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.44/5.72 => ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( ap @ ( ap @ c_2Egcd_2Elcm @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.44/5.72 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( ap @ ( ap @ c_2Egcd_2Elcm @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Egcd_2ELCM__LEAST,axiom,
% 5.44/5.72 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) )
% 5.44/5.72 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.44/5.72 => ! [V2p: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) )
% 5.44/5.72 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V2p ) ) @ ( ap @ ( ap @ c_2Egcd_2Elcm @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) )
% 5.44/5.72 => ( ~ ( p @ ( ap @ ( ap @ c_2Edivides_2Edivides @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) )
% 5.44/5.72 | ~ ( p @ ( ap @ ( ap @ c_2Edivides_2Edivides @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V2p ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Egcd_2EGCD__COMMON__FACTOR,axiom,
% 5.44/5.72 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum,V2k: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Egcd_2Egcd @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V2k ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V2k ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V2k ) ) @ ( ap @ ( ap @ c_2Egcd_2Egcd @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Egcd_2EGCD__CANCEL__MULT,axiom,
% 5.44/5.72 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum,V2k: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Egcd_2Egcd @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V2k ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.44/5.72 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Egcd_2Egcd @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V2k ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Egcd_2Egcd @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Egcd_2EBINARY__GCD,axiom,
% 5.44/5.72 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( ( ( p @ ( ap @ c_2Earithmetic_2EEVEN @ ( inj__ty_2Enum_2Enum @ V0m ) ) )
% 5.44/5.72 & ( p @ ( ap @ c_2Earithmetic_2EEVEN @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.44/5.72 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Egcd_2Egcd @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( ap @ c_2Egcd_2Egcd @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) )
% 5.44/5.72 & ( ( ( p @ ( ap @ c_2Earithmetic_2EEVEN @ ( inj__ty_2Enum_2Enum @ V0m ) ) )
% 5.44/5.72 & ( p @ ( ap @ c_2Earithmetic_2EODD @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.44/5.72 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Egcd_2Egcd @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Egcd_2Egcd @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 %------------------------------------------------------------------------------
% 5.44/5.72 %------------------------------------------------------------------------------
% 5.44/5.72 thf(tp_c_2Enumpair_2Einvtri,type,
% 5.44/5.72 c_2Enumpair_2Einvtri: $i ).
% 5.44/5.72
% 5.44/5.72 thf(mem_c_2Enumpair_2Einvtri,axiom,
% 5.44/5.72 mem @ c_2Enumpair_2Einvtri @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ).
% 5.44/5.72
% 5.44/5.72 thf(stp_fo_c_2Enumpair_2Einvtri,type,
% 5.44/5.72 fo__c_2Enumpair_2Einvtri: tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum ).
% 5.44/5.72
% 5.44/5.72 thf(stp_eq_fo_c_2Enumpair_2Einvtri,axiom,
% 5.44/5.72 ! [X0: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( inj__ty_2Enum_2Enum @ ( fo__c_2Enumpair_2Einvtri @ X0 ) )
% 5.44/5.72 = ( ap @ c_2Enumpair_2Einvtri @ ( inj__ty_2Enum_2Enum @ X0 ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(tp_c_2Enumpair_2Einvtri0,type,
% 5.44/5.72 c_2Enumpair_2Einvtri0: $i ).
% 5.44/5.72
% 5.44/5.72 thf(mem_c_2Enumpair_2Einvtri0,axiom,
% 5.44/5.72 mem @ c_2Enumpair_2Einvtri0 @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(tp_c_2Enumpair_2Enapp,type,
% 5.44/5.72 c_2Enumpair_2Enapp: $i ).
% 5.44/5.72
% 5.44/5.72 thf(mem_c_2Enumpair_2Enapp,axiom,
% 5.44/5.72 mem @ c_2Enumpair_2Enapp @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(stp_fo_c_2Enumpair_2Enapp,type,
% 5.44/5.72 fo__c_2Enumpair_2Enapp: tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum ).
% 5.44/5.72
% 5.44/5.72 thf(stp_eq_fo_c_2Enumpair_2Enapp,axiom,
% 5.44/5.72 ! [X0: tp__ty_2Enum_2Enum,X1: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( inj__ty_2Enum_2Enum @ ( fo__c_2Enumpair_2Enapp @ X0 @ X1 ) )
% 5.44/5.72 = ( ap @ ( ap @ c_2Enumpair_2Enapp @ ( inj__ty_2Enum_2Enum @ X0 ) ) @ ( inj__ty_2Enum_2Enum @ X1 ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(tp_c_2Enumpair_2Encons,type,
% 5.44/5.72 c_2Enumpair_2Encons: $i ).
% 5.44/5.72
% 5.44/5.72 thf(mem_c_2Enumpair_2Encons,axiom,
% 5.44/5.72 mem @ c_2Enumpair_2Encons @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(stp_fo_c_2Enumpair_2Encons,type,
% 5.44/5.72 fo__c_2Enumpair_2Encons: tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum ).
% 5.44/5.72
% 5.44/5.72 thf(stp_eq_fo_c_2Enumpair_2Encons,axiom,
% 5.44/5.72 ! [X0: tp__ty_2Enum_2Enum,X1: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( inj__ty_2Enum_2Enum @ ( fo__c_2Enumpair_2Encons @ X0 @ X1 ) )
% 5.44/5.72 = ( ap @ ( ap @ c_2Enumpair_2Encons @ ( inj__ty_2Enum_2Enum @ X0 ) ) @ ( inj__ty_2Enum_2Enum @ X1 ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(tp_c_2Enumpair_2Enfoldl,type,
% 5.44/5.72 c_2Enumpair_2Enfoldl: del > $i ).
% 5.44/5.72
% 5.44/5.72 thf(mem_c_2Enumpair_2Enfoldl,axiom,
% 5.44/5.72 ! [A_27a: del] : ( mem @ ( c_2Enumpair_2Enfoldl @ A_27a ) @ ( arr @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ ty_2Enum_2Enum @ A_27a ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(tp_c_2Enumpair_2Enfst,type,
% 5.44/5.72 c_2Enumpair_2Enfst: $i ).
% 5.44/5.72
% 5.44/5.72 thf(mem_c_2Enumpair_2Enfst,axiom,
% 5.44/5.72 mem @ c_2Enumpair_2Enfst @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ).
% 5.44/5.72
% 5.44/5.72 thf(stp_fo_c_2Enumpair_2Enfst,type,
% 5.44/5.72 fo__c_2Enumpair_2Enfst: tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum ).
% 5.44/5.72
% 5.44/5.72 thf(stp_eq_fo_c_2Enumpair_2Enfst,axiom,
% 5.44/5.72 ! [X0: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( inj__ty_2Enum_2Enum @ ( fo__c_2Enumpair_2Enfst @ X0 ) )
% 5.44/5.72 = ( ap @ c_2Enumpair_2Enfst @ ( inj__ty_2Enum_2Enum @ X0 ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(tp_c_2Enumpair_2Enlen,type,
% 5.44/5.72 c_2Enumpair_2Enlen: $i ).
% 5.44/5.72
% 5.44/5.72 thf(mem_c_2Enumpair_2Enlen,axiom,
% 5.44/5.72 mem @ c_2Enumpair_2Enlen @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ).
% 5.44/5.72
% 5.44/5.72 thf(stp_fo_c_2Enumpair_2Enlen,type,
% 5.44/5.72 fo__c_2Enumpair_2Enlen: tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum ).
% 5.44/5.72
% 5.44/5.72 thf(stp_eq_fo_c_2Enumpair_2Enlen,axiom,
% 5.44/5.72 ! [X0: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( inj__ty_2Enum_2Enum @ ( fo__c_2Enumpair_2Enlen @ X0 ) )
% 5.44/5.72 = ( ap @ c_2Enumpair_2Enlen @ ( inj__ty_2Enum_2Enum @ X0 ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(tp_c_2Enumpair_2Enlistrec,type,
% 5.44/5.72 c_2Enumpair_2Enlistrec: del > $i ).
% 5.44/5.72
% 5.44/5.72 thf(mem_c_2Enumpair_2Enlistrec,axiom,
% 5.44/5.72 ! [A_27a: del] : ( mem @ ( c_2Enumpair_2Enlistrec @ A_27a ) @ ( arr @ A_27a @ ( arr @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ A_27a ) ) ) @ ( arr @ ty_2Enum_2Enum @ A_27a ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(tp_c_2Enumpair_2Enmap,type,
% 5.44/5.72 c_2Enumpair_2Enmap: $i ).
% 5.44/5.72
% 5.44/5.72 thf(mem_c_2Enumpair_2Enmap,axiom,
% 5.44/5.72 mem @ c_2Enumpair_2Enmap @ ( arr @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(tp_c_2Enumpair_2Enpair,type,
% 5.44/5.72 c_2Enumpair_2Enpair: $i ).
% 5.44/5.72
% 5.44/5.72 thf(mem_c_2Enumpair_2Enpair,axiom,
% 5.44/5.72 mem @ c_2Enumpair_2Enpair @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(stp_fo_c_2Enumpair_2Enpair,type,
% 5.44/5.72 fo__c_2Enumpair_2Enpair: tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum ).
% 5.44/5.72
% 5.44/5.72 thf(stp_eq_fo_c_2Enumpair_2Enpair,axiom,
% 5.44/5.72 ! [X0: tp__ty_2Enum_2Enum,X1: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( inj__ty_2Enum_2Enum @ ( fo__c_2Enumpair_2Enpair @ X0 @ X1 ) )
% 5.44/5.72 = ( ap @ ( ap @ c_2Enumpair_2Enpair @ ( inj__ty_2Enum_2Enum @ X0 ) ) @ ( inj__ty_2Enum_2Enum @ X1 ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(tp_c_2Enumpair_2Ensnd,type,
% 5.44/5.72 c_2Enumpair_2Ensnd: $i ).
% 5.44/5.72
% 5.44/5.72 thf(mem_c_2Enumpair_2Ensnd,axiom,
% 5.44/5.72 mem @ c_2Enumpair_2Ensnd @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ).
% 5.44/5.72
% 5.44/5.72 thf(stp_fo_c_2Enumpair_2Ensnd,type,
% 5.44/5.72 fo__c_2Enumpair_2Ensnd: tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum ).
% 5.44/5.72
% 5.44/5.72 thf(stp_eq_fo_c_2Enumpair_2Ensnd,axiom,
% 5.44/5.72 ! [X0: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( inj__ty_2Enum_2Enum @ ( fo__c_2Enumpair_2Ensnd @ X0 ) )
% 5.44/5.72 = ( ap @ c_2Enumpair_2Ensnd @ ( inj__ty_2Enum_2Enum @ X0 ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(tp_c_2Enumpair_2Etri,type,
% 5.44/5.72 c_2Enumpair_2Etri: $i ).
% 5.44/5.72
% 5.44/5.72 thf(mem_c_2Enumpair_2Etri,axiom,
% 5.44/5.72 mem @ c_2Enumpair_2Etri @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ).
% 5.44/5.72
% 5.44/5.72 thf(stp_fo_c_2Enumpair_2Etri,type,
% 5.44/5.72 fo__c_2Enumpair_2Etri: tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum ).
% 5.44/5.72
% 5.44/5.72 thf(stp_eq_fo_c_2Enumpair_2Etri,axiom,
% 5.44/5.72 ! [X0: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( inj__ty_2Enum_2Enum @ ( fo__c_2Enumpair_2Etri @ X0 ) )
% 5.44/5.72 = ( ap @ c_2Enumpair_2Etri @ ( inj__ty_2Enum_2Enum @ X0 ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(ax_thm_2Enumpair_2Etri__def,axiom,
% 5.44/5.72 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enumpair_2Etri @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.44/5.72 = fo__c_2Enum_2E0 )
% 5.44/5.72 & ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enumpair_2Etri @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( ap @ c_2Enumpair_2Etri @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Enumpair_2Etri__def__compute,axiom,
% 5.44/5.72 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enumpair_2Etri @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.44/5.72 = fo__c_2Enum_2E0 )
% 5.44/5.72 & ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enumpair_2Etri @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) @ ( ap @ c_2Enumpair_2Etri @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.44/5.72 & ! [V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enumpair_2Etri @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) @ ( ap @ c_2Enumpair_2Etri @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Enumpair_2Etwotri__formula,axiom,
% 5.44/5.72 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ c_2Enumpair_2Etri @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Enumpair_2Etri__formula,axiom,
% 5.44/5.72 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enumpair_2Etri @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Enumpair_2Etri__eq__0,axiom,
% 5.44/5.72 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enumpair_2Etri @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.72 = fo__c_2Enum_2E0 )
% 5.44/5.72 <=> ( V0n = fo__c_2Enum_2E0 ) )
% 5.44/5.72 & ( ( fo__c_2Enum_2E0
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enumpair_2Etri @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) )
% 5.44/5.72 <=> ( V0n = fo__c_2Enum_2E0 ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Enumpair_2Etri__LT__I,axiom,
% 5.44/5.72 ! [V0n: tp__ty_2Enum_2Enum,V1m: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) )
% 5.44/5.72 => ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Enumpair_2Etri @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( ap @ c_2Enumpair_2Etri @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Enumpair_2Etri__LT,axiom,
% 5.44/5.72 ! [V0n: tp__ty_2Enum_2Enum,V1m: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Enumpair_2Etri @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( ap @ c_2Enumpair_2Etri @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) )
% 5.44/5.72 <=> ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Enumpair_2Etri__11,axiom,
% 5.44/5.72 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enumpair_2Etri @ ( inj__ty_2Enum_2Enum @ V0m ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enumpair_2Etri @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.44/5.72 <=> ( V0m = V1n ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Enumpair_2Etri__LE,axiom,
% 5.44/5.72 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Enumpair_2Etri @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) @ ( ap @ c_2Enumpair_2Etri @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.44/5.72 <=> ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Enumpair_2Einvtri0__ind,axiom,
% 5.44/5.72 ! [V0P: $i] :
% 5.44/5.72 ( ( mem @ V0P @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ bool ) ) )
% 5.44/5.72 => ( ! [V1n: tp__ty_2Enum_2Enum,V2a: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( ~ ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V2a ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.44/5.72 => ( p @ ( ap @ ( ap @ V0P @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V2a ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V2a ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.44/5.72 => ( p @ ( ap @ ( ap @ V0P @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V2a ) ) ) )
% 5.44/5.72 => ! [V3v: tp__ty_2Enum_2Enum,V4v1: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ V0P @ ( inj__ty_2Enum_2Enum @ V3v ) ) @ ( inj__ty_2Enum_2Enum @ V4v1 ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Enumpair_2Einvtri0__def,axiom,
% 5.44/5.72 ! [V0n: tp__ty_2Enum_2Enum,V1a: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Enumpair_2Einvtri0 @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1a ) ) )
% 5.44/5.72 = ( surj__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1a ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1a ) ) ) @ ( ap @ ( ap @ c_2Enumpair_2Einvtri0 @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1a ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1a ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(ax_thm_2Enumpair_2Einvtri__def,axiom,
% 5.44/5.72 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enumpair_2Einvtri @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Epair_2ESND @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ c_2Enumpair_2Einvtri0 @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Enumpair_2Einvtri0__thm,axiom,
% 5.44/5.72 ! [V0n: tp__ty_2Enum_2Enum,V1a: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Enumpair_2Etri @ ( ap @ ( c_2Epair_2ESND @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ c_2Enumpair_2Einvtri0 @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1a ) ) ) ) ) @ ( ap @ ( c_2Epair_2EFST @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ c_2Enumpair_2Einvtri0 @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1a ) ) ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ c_2Enumpair_2Etri @ ( inj__ty_2Enum_2Enum @ V1a ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Enumpair_2ESND__invtri0,axiom,
% 5.44/5.72 ! [V0n: tp__ty_2Enum_2Enum,V1a: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ ( c_2Epair_2EFST @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ c_2Enumpair_2Einvtri0 @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1a ) ) ) ) @ ( ap @ c_2Enum_2ESUC @ ( ap @ ( c_2Epair_2ESND @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ c_2Enumpair_2Einvtri0 @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1a ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Enumpair_2Einvtri__lower,axiom,
% 5.44/5.72 ! [V0n: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Enumpair_2Etri @ ( ap @ c_2Enumpair_2Einvtri @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Enumpair_2Einvtri__upper,axiom,
% 5.44/5.72 ! [V0n: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ c_2Enumpair_2Etri @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Enumpair_2Einvtri @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Enumpair_2Einvtri__linverse,axiom,
% 5.44/5.72 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enumpair_2Einvtri @ ( ap @ c_2Enumpair_2Etri @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) )
% 5.44/5.72 = V0n ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Enumpair_2Einvtri__unique,axiom,
% 5.44/5.72 ! [V0y: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Enumpair_2Etri @ ( inj__ty_2Enum_2Enum @ V0y ) ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.72 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ c_2Enumpair_2Etri @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0y ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.44/5.72 => ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enumpair_2Einvtri @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.72 = V0y ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Enumpair_2Einvtri__linverse__r,axiom,
% 5.44/5.72 ! [V0y: tp__ty_2Enum_2Enum,V1x: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0y ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.44/5.72 => ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enumpair_2Einvtri @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Enumpair_2Etri @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( inj__ty_2Enum_2Enum @ V0y ) ) ) )
% 5.44/5.72 = V1x ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Enumpair_2Etri__le,axiom,
% 5.44/5.72 ! [V0n: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ c_2Enumpair_2Etri @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Enumpair_2Einvtri__le,axiom,
% 5.44/5.72 ! [V0n: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Enumpair_2Einvtri @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(ax_thm_2Enumpair_2Enpair__def,axiom,
% 5.44/5.72 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Enumpair_2Enpair @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Enumpair_2Etri @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(ax_thm_2Enumpair_2Enfst__def,axiom,
% 5.44/5.72 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enumpair_2Enfst @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Enumpair_2Etri @ ( ap @ c_2Enumpair_2Einvtri @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) @ ( ap @ c_2Enumpair_2Einvtri @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(ax_thm_2Enumpair_2Ensnd__def,axiom,
% 5.44/5.72 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enumpair_2Ensnd @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ c_2Enumpair_2Etri @ ( ap @ c_2Enumpair_2Einvtri @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Enumpair_2Enfst__npair,axiom,
% 5.44/5.72 ! [V0x: tp__ty_2Enum_2Enum,V1y: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enumpair_2Enfst @ ( ap @ ( ap @ c_2Enumpair_2Enpair @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( inj__ty_2Enum_2Enum @ V1y ) ) ) )
% 5.44/5.72 = V0x ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Enumpair_2Ensnd__npair,axiom,
% 5.44/5.72 ! [V0x: tp__ty_2Enum_2Enum,V1y: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enumpair_2Ensnd @ ( ap @ ( ap @ c_2Enumpair_2Enpair @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( inj__ty_2Enum_2Enum @ V1y ) ) ) )
% 5.44/5.72 = V1y ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Enumpair_2Enpair__cases,axiom,
% 5.44/5.72 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ? [V1x: tp__ty_2Enum_2Enum,V2y: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( V0n
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Enumpair_2Enpair @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( inj__ty_2Enum_2Enum @ V2y ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Enumpair_2Enpair,axiom,
% 5.44/5.72 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Enumpair_2Enpair @ ( ap @ c_2Enumpair_2Enfst @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( ap @ c_2Enumpair_2Ensnd @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) )
% 5.44/5.72 = V0n ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Enumpair_2Enpair__11,axiom,
% 5.44/5.72 ! [V0x1: tp__ty_2Enum_2Enum,V1y1: tp__ty_2Enum_2Enum,V2x2: tp__ty_2Enum_2Enum,V3y2: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Enumpair_2Enpair @ ( inj__ty_2Enum_2Enum @ V0x1 ) ) @ ( inj__ty_2Enum_2Enum @ V1y1 ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Enumpair_2Enpair @ ( inj__ty_2Enum_2Enum @ V2x2 ) ) @ ( inj__ty_2Enum_2Enum @ V3y2 ) ) ) )
% 5.44/5.72 <=> ( ( V0x1 = V2x2 )
% 5.44/5.72 & ( V1y1 = V3y2 ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Enumpair_2Enfst__le,axiom,
% 5.44/5.72 ! [V0n: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Enumpair_2Enfst @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Enumpair_2Ensnd__le,axiom,
% 5.44/5.72 ! [V0n: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Enumpair_2Ensnd @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(ax_thm_2Enumpair_2Encons__def,axiom,
% 5.44/5.72 ! [V0h: tp__ty_2Enum_2Enum,V1t: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Enumpair_2Encons @ ( inj__ty_2Enum_2Enum @ V0h ) ) @ ( inj__ty_2Enum_2Enum @ V1t ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ c_2Enumpair_2Enpair @ ( inj__ty_2Enum_2Enum @ V0h ) ) @ ( inj__ty_2Enum_2Enum @ V1t ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Enumpair_2Encons__11,axiom,
% 5.44/5.72 ! [V0x: tp__ty_2Enum_2Enum,V1y: tp__ty_2Enum_2Enum,V2h: tp__ty_2Enum_2Enum,V3t: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Enumpair_2Encons @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( inj__ty_2Enum_2Enum @ V1y ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Enumpair_2Encons @ ( inj__ty_2Enum_2Enum @ V2h ) ) @ ( inj__ty_2Enum_2Enum @ V3t ) ) ) )
% 5.44/5.72 <=> ( ( V0x = V2h )
% 5.44/5.72 & ( V1y = V3t ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Enumpair_2Encons__not__nnil,axiom,
% 5.44/5.72 ! [V0x: tp__ty_2Enum_2Enum,V1y: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Enumpair_2Encons @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( inj__ty_2Enum_2Enum @ V1y ) ) )
% 5.44/5.72 != fo__c_2Enum_2E0 ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Enumpair_2Enlistrec__ind,axiom,
% 5.44/5.72 ! [A_27a: del,V0P: $i] :
% 5.44/5.72 ( ( mem @ V0P @ ( arr @ A_27a @ ( arr @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ A_27a ) ) ) @ ( arr @ ty_2Enum_2Enum @ bool ) ) ) )
% 5.44/5.72 => ( ! [V1n: $i] :
% 5.44/5.72 ( ( mem @ V1n @ A_27a )
% 5.44/5.72 => ! [V2f: $i] :
% 5.44/5.72 ( ( mem @ V2f @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.44/5.72 => ! [V3l: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( ( V3l != fo__c_2Enum_2E0 )
% 5.44/5.72 => ( p @ ( ap @ ( ap @ ( ap @ V0P @ V1n ) @ V2f ) @ ( ap @ c_2Enumpair_2Ensnd @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V3l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.44/5.72 => ( p @ ( ap @ ( ap @ ( ap @ V0P @ V1n ) @ V2f ) @ ( inj__ty_2Enum_2Enum @ V3l ) ) ) ) ) )
% 5.44/5.72 => ! [V4v: $i] :
% 5.44/5.72 ( ( mem @ V4v @ A_27a )
% 5.44/5.72 => ! [V5v1: $i] :
% 5.44/5.72 ( ( mem @ V5v1 @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.44/5.72 => ! [V6v2: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ ( ap @ V0P @ V4v ) @ V5v1 ) @ ( inj__ty_2Enum_2Enum @ V6v2 ) ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Enumpair_2Enlistrec__def,axiom,
% 5.44/5.72 ! [A_27a: del,V0n: $i] :
% 5.44/5.72 ( ( mem @ V0n @ A_27a )
% 5.44/5.72 => ! [V1l: tp__ty_2Enum_2Enum,V2f: $i] :
% 5.44/5.72 ( ( mem @ V2f @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.44/5.72 => ( ( ap @ ( ap @ ( ap @ ( c_2Enumpair_2Enlistrec @ A_27a ) @ V0n ) @ V2f ) @ ( inj__ty_2Enum_2Enum @ V1l ) )
% 5.44/5.72 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ A_27a ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V1l ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) @ V0n ) @ ( ap @ ( ap @ ( ap @ V2f @ ( ap @ c_2Enumpair_2Enfst @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V1l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ c_2Enumpair_2Ensnd @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V1l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Enumpair_2Enlistrec @ A_27a ) @ V0n ) @ V2f ) @ ( ap @ c_2Enumpair_2Ensnd @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V1l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Enumpair_2Enlistrec__thm,axiom,
% 5.44/5.72 ! [A_27a: del,V0n: $i] :
% 5.44/5.72 ( ( mem @ V0n @ A_27a )
% 5.44/5.72 => ! [V1f: $i] :
% 5.44/5.72 ( ( mem @ V1f @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.44/5.72 => ! [V2h: tp__ty_2Enum_2Enum,V3t: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( ( ap @ ( ap @ ( ap @ ( c_2Enumpair_2Enlistrec @ A_27a ) @ V0n ) @ V1f ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) )
% 5.44/5.72 = V0n )
% 5.44/5.72 & ( ( ap @ ( ap @ ( ap @ ( c_2Enumpair_2Enlistrec @ A_27a ) @ V0n ) @ V1f ) @ ( ap @ ( ap @ c_2Enumpair_2Encons @ ( inj__ty_2Enum_2Enum @ V2h ) ) @ ( inj__ty_2Enum_2Enum @ V3t ) ) )
% 5.44/5.72 = ( ap @ ( ap @ ( ap @ V1f @ ( inj__ty_2Enum_2Enum @ V2h ) ) @ ( inj__ty_2Enum_2Enum @ V3t ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Enumpair_2Enlistrec @ A_27a ) @ V0n ) @ V1f ) @ ( inj__ty_2Enum_2Enum @ V3t ) ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Enumpair_2Enlist__ind,axiom,
% 5.44/5.72 ! [V0P: $i] :
% 5.44/5.72 ( ( mem @ V0P @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.44/5.72 => ( ( ( p @ ( ap @ V0P @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.44/5.72 & ! [V1h: tp__ty_2Enum_2Enum,V2t: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( p @ ( ap @ V0P @ ( inj__ty_2Enum_2Enum @ V2t ) ) )
% 5.44/5.72 => ( p @ ( ap @ V0P @ ( ap @ ( ap @ c_2Enumpair_2Encons @ ( inj__ty_2Enum_2Enum @ V1h ) ) @ ( inj__ty_2Enum_2Enum @ V2t ) ) ) ) ) )
% 5.44/5.72 => ! [V3n: tp__ty_2Enum_2Enum] : ( p @ ( ap @ V0P @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(ax_thm_2Enumpair_2Enlen__def,axiom,
% 5.44/5.72 ( c_2Enumpair_2Enlen
% 5.44/5.72 = ( ap @ ( ap @ ( c_2Enumpair_2Enlistrec @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) )
% 5.44/5.72 @ ( lam @ ty_2Enum_2Enum
% 5.44/5.72 @ ^ [V0n: $i] :
% 5.44/5.72 ( lam @ ty_2Enum_2Enum
% 5.44/5.72 @ ^ [V1t: $i] :
% 5.44/5.72 ( lam @ ty_2Enum_2Enum
% 5.44/5.72 @ ^ [V2r: $i] : ( ap @ ( ap @ c_2Earithmetic_2E_2B @ V2r ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Enumpair_2Enlen__thm,axiom,
% 5.44/5.72 ! [V0h: tp__ty_2Enum_2Enum,V1t: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enumpair_2Enlen @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.44/5.72 = fo__c_2Enum_2E0 )
% 5.44/5.72 & ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enumpair_2Enlen @ ( ap @ ( ap @ c_2Enumpair_2Encons @ ( inj__ty_2Enum_2Enum @ V0h ) ) @ ( inj__ty_2Enum_2Enum @ V1t ) ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Enumpair_2Enlen @ ( inj__ty_2Enum_2Enum @ V1t ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(ax_thm_2Enumpair_2Enmap__def,axiom,
% 5.44/5.72 ! [V0f: $i] :
% 5.44/5.72 ( ( mem @ V0f @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.44/5.72 => ( ( ap @ c_2Enumpair_2Enmap @ V0f )
% 5.44/5.72 = ( ap @ ( ap @ ( c_2Enumpair_2Enlistrec @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) )
% 5.44/5.72 @ ( lam @ ty_2Enum_2Enum
% 5.44/5.72 @ ^ [V1n: $i] :
% 5.44/5.72 ( lam @ ty_2Enum_2Enum
% 5.44/5.72 @ ^ [V2t: $i] :
% 5.44/5.72 ( lam @ ty_2Enum_2Enum
% 5.44/5.72 @ ^ [V3r: $i] : ( ap @ ( ap @ c_2Enumpair_2Encons @ ( ap @ V0f @ V1n ) ) @ V3r ) ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Enumpair_2Enmap__thm,axiom,
% 5.44/5.72 ! [V0f: $i] :
% 5.44/5.72 ( ( mem @ V0f @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.44/5.72 => ! [V1h: tp__ty_2Enum_2Enum,V2t: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Enumpair_2Enmap @ V0f ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.44/5.72 = fo__c_2Enum_2E0 )
% 5.44/5.72 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Enumpair_2Enmap @ V0f ) @ ( ap @ ( ap @ c_2Enumpair_2Encons @ ( inj__ty_2Enum_2Enum @ V1h ) ) @ ( inj__ty_2Enum_2Enum @ V2t ) ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Enumpair_2Encons @ ( ap @ V0f @ ( inj__ty_2Enum_2Enum @ V1h ) ) ) @ ( ap @ ( ap @ c_2Enumpair_2Enmap @ V0f ) @ ( inj__ty_2Enum_2Enum @ V2t ) ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(ax_thm_2Enumpair_2Enfoldl__def,axiom,
% 5.44/5.72 ! [A_27a: del,V0f: $i] :
% 5.44/5.72 ( ( mem @ V0f @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ A_27a ) ) )
% 5.44/5.72 => ! [V1a: $i] :
% 5.44/5.72 ( ( mem @ V1a @ A_27a )
% 5.44/5.72 => ! [V2l: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( ap @ ( ap @ ( ap @ ( c_2Enumpair_2Enfoldl @ A_27a ) @ V0f ) @ V1a ) @ ( inj__ty_2Enum_2Enum @ V2l ) )
% 5.44/5.72 = ( ap
% 5.44/5.72 @ ( ap
% 5.44/5.72 @ ( ap
% 5.44/5.72 @ ( ap @ ( c_2Enumpair_2Enlistrec @ ( arr @ A_27a @ A_27a ) )
% 5.44/5.72 @ ( lam @ A_27a
% 5.44/5.72 @ ^ [V3a: $i] : V3a ) )
% 5.44/5.72 @ ( lam @ ty_2Enum_2Enum
% 5.44/5.72 @ ^ [V4n: $i] :
% 5.44/5.72 ( lam @ ty_2Enum_2Enum
% 5.44/5.72 @ ^ [V5t: $i] :
% 5.44/5.72 ( lam @ ( arr @ A_27a @ A_27a )
% 5.44/5.72 @ ^ [V6r: $i] :
% 5.44/5.72 ( lam @ A_27a
% 5.44/5.72 @ ^ [V7a: $i] : ( ap @ V6r @ ( ap @ ( ap @ V0f @ V4n ) @ V7a ) ) ) ) ) ) )
% 5.44/5.72 @ ( inj__ty_2Enum_2Enum @ V2l ) )
% 5.44/5.72 @ V1a ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Enumpair_2Enfoldl__thm,axiom,
% 5.44/5.72 ! [A_27a: del,V0f: $i] :
% 5.44/5.72 ( ( mem @ V0f @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ A_27a ) ) )
% 5.44/5.72 => ! [V1a: $i] :
% 5.44/5.72 ( ( mem @ V1a @ A_27a )
% 5.44/5.72 => ! [V2h: tp__ty_2Enum_2Enum,V3t: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( ( ap @ ( ap @ ( ap @ ( c_2Enumpair_2Enfoldl @ A_27a ) @ V0f ) @ V1a ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) )
% 5.44/5.72 = V1a )
% 5.44/5.72 & ( ( ap @ ( ap @ ( ap @ ( c_2Enumpair_2Enfoldl @ A_27a ) @ V0f ) @ V1a ) @ ( ap @ ( ap @ c_2Enumpair_2Encons @ ( inj__ty_2Enum_2Enum @ V2h ) ) @ ( inj__ty_2Enum_2Enum @ V3t ) ) )
% 5.44/5.72 = ( ap @ ( ap @ ( ap @ ( c_2Enumpair_2Enfoldl @ A_27a ) @ V0f ) @ ( ap @ ( ap @ V0f @ ( inj__ty_2Enum_2Enum @ V2h ) ) @ V1a ) ) @ ( inj__ty_2Enum_2Enum @ V3t ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(ax_thm_2Enumpair_2Enapp__def,axiom,
% 5.44/5.72 ! [V0l1: tp__ty_2Enum_2Enum,V1l2: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Enumpair_2Enapp @ ( inj__ty_2Enum_2Enum @ V0l1 ) ) @ ( inj__ty_2Enum_2Enum @ V1l2 ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum
% 5.44/5.72 @ ( ap
% 5.44/5.72 @ ( ap @ ( ap @ ( c_2Enumpair_2Enlistrec @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V1l2 ) )
% 5.44/5.72 @ ( lam @ ty_2Enum_2Enum
% 5.44/5.72 @ ^ [V2n: $i] :
% 5.44/5.72 ( lam @ ty_2Enum_2Enum
% 5.44/5.72 @ ^ [V3t: $i] :
% 5.44/5.72 ( lam @ ty_2Enum_2Enum
% 5.44/5.72 @ ^ [V4r: $i] : ( ap @ ( ap @ c_2Enumpair_2Encons @ V2n ) @ V4r ) ) ) ) )
% 5.44/5.72 @ ( inj__ty_2Enum_2Enum @ V0l1 ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Enumpair_2Enapp__thm,axiom,
% 5.44/5.72 ! [V0nlist: tp__ty_2Enum_2Enum,V1h: tp__ty_2Enum_2Enum,V2t: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Enumpair_2Enapp @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0nlist ) ) )
% 5.44/5.72 = V0nlist )
% 5.44/5.72 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Enumpair_2Enapp @ ( ap @ ( ap @ c_2Enumpair_2Encons @ ( inj__ty_2Enum_2Enum @ V1h ) ) @ ( inj__ty_2Enum_2Enum @ V2t ) ) ) @ ( inj__ty_2Enum_2Enum @ V0nlist ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Enumpair_2Encons @ ( inj__ty_2Enum_2Enum @ V1h ) ) @ ( ap @ ( ap @ c_2Enumpair_2Enapp @ ( inj__ty_2Enum_2Enum @ V2t ) ) @ ( inj__ty_2Enum_2Enum @ V0nlist ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Enumpair_2Enlist__cases,axiom,
% 5.44/5.72 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( V0n = fo__c_2Enum_2E0 )
% 5.44/5.72 | ? [V1h: tp__ty_2Enum_2Enum,V2t: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( V0n
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Enumpair_2Encons @ ( inj__ty_2Enum_2Enum @ V1h ) ) @ ( inj__ty_2Enum_2Enum @ V2t ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 %------------------------------------------------------------------------------
% 5.44/5.72 %------------------------------------------------------------------------------
% 5.44/5.72 thf(tp_c_2Ebit_2EBIT,type,
% 5.44/5.72 c_2Ebit_2EBIT: $i ).
% 5.44/5.72
% 5.44/5.72 thf(mem_c_2Ebit_2EBIT,axiom,
% 5.44/5.72 mem @ c_2Ebit_2EBIT @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ bool ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(tp_c_2Ebit_2EBITS,type,
% 5.44/5.72 c_2Ebit_2EBITS: $i ).
% 5.44/5.72
% 5.44/5.72 thf(mem_c_2Ebit_2EBITS,axiom,
% 5.44/5.72 mem @ c_2Ebit_2EBITS @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(stp_fo_c_2Ebit_2EBITS,type,
% 5.44/5.72 fo__c_2Ebit_2EBITS: tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum ).
% 5.44/5.72
% 5.44/5.72 thf(stp_eq_fo_c_2Ebit_2EBITS,axiom,
% 5.44/5.72 ! [X0: tp__ty_2Enum_2Enum,X1: tp__ty_2Enum_2Enum,X2: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( inj__ty_2Enum_2Enum @ ( fo__c_2Ebit_2EBITS @ X0 @ X1 @ X2 ) )
% 5.44/5.72 = ( ap @ ( ap @ ( ap @ c_2Ebit_2EBITS @ ( inj__ty_2Enum_2Enum @ X0 ) ) @ ( inj__ty_2Enum_2Enum @ X1 ) ) @ ( inj__ty_2Enum_2Enum @ X2 ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(tp_c_2Ebit_2EBITV,type,
% 5.44/5.72 c_2Ebit_2EBITV: $i ).
% 5.44/5.72
% 5.44/5.72 thf(mem_c_2Ebit_2EBITV,axiom,
% 5.44/5.72 mem @ c_2Ebit_2EBITV @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(stp_fo_c_2Ebit_2EBITV,type,
% 5.44/5.72 fo__c_2Ebit_2EBITV: tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum ).
% 5.44/5.72
% 5.44/5.72 thf(stp_eq_fo_c_2Ebit_2EBITV,axiom,
% 5.44/5.72 ! [X0: tp__ty_2Enum_2Enum,X1: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( inj__ty_2Enum_2Enum @ ( fo__c_2Ebit_2EBITV @ X0 @ X1 ) )
% 5.44/5.72 = ( ap @ ( ap @ c_2Ebit_2EBITV @ ( inj__ty_2Enum_2Enum @ X0 ) ) @ ( inj__ty_2Enum_2Enum @ X1 ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(tp_c_2Ebit_2EBITWISE,type,
% 5.44/5.72 c_2Ebit_2EBITWISE: $i ).
% 5.44/5.72
% 5.44/5.72 thf(mem_c_2Ebit_2EBITWISE,axiom,
% 5.44/5.72 mem @ c_2Ebit_2EBITWISE @ ( arr @ ty_2Enum_2Enum @ ( arr @ ( arr @ bool @ ( arr @ bool @ bool ) ) @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(tp_c_2Ebit_2EBIT__MODIFY,type,
% 5.44/5.72 c_2Ebit_2EBIT__MODIFY: $i ).
% 5.44/5.72
% 5.44/5.72 thf(mem_c_2Ebit_2EBIT__MODIFY,axiom,
% 5.44/5.72 mem @ c_2Ebit_2EBIT__MODIFY @ ( arr @ ty_2Enum_2Enum @ ( arr @ ( arr @ ty_2Enum_2Enum @ ( arr @ bool @ bool ) ) @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(tp_c_2Ebit_2EBIT__REVERSE,type,
% 5.44/5.72 c_2Ebit_2EBIT__REVERSE: $i ).
% 5.44/5.72
% 5.44/5.72 thf(mem_c_2Ebit_2EBIT__REVERSE,axiom,
% 5.44/5.72 mem @ c_2Ebit_2EBIT__REVERSE @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(stp_fo_c_2Ebit_2EBIT__REVERSE,type,
% 5.44/5.72 fo__c_2Ebit_2EBIT__REVERSE: tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum ).
% 5.44/5.72
% 5.44/5.72 thf(stp_eq_fo_c_2Ebit_2EBIT__REVERSE,axiom,
% 5.44/5.72 ! [X0: tp__ty_2Enum_2Enum,X1: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( inj__ty_2Enum_2Enum @ ( fo__c_2Ebit_2EBIT__REVERSE @ X0 @ X1 ) )
% 5.44/5.72 = ( ap @ ( ap @ c_2Ebit_2EBIT__REVERSE @ ( inj__ty_2Enum_2Enum @ X0 ) ) @ ( inj__ty_2Enum_2Enum @ X1 ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(tp_c_2Ebit_2EDIVMOD__2EXP,type,
% 5.44/5.72 c_2Ebit_2EDIVMOD__2EXP: $i ).
% 5.44/5.72
% 5.44/5.72 thf(mem_c_2Ebit_2EDIVMOD__2EXP,axiom,
% 5.44/5.72 mem @ c_2Ebit_2EDIVMOD__2EXP @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(tp_c_2Ebit_2EDIV__2EXP,type,
% 5.44/5.72 c_2Ebit_2EDIV__2EXP: $i ).
% 5.44/5.72
% 5.44/5.72 thf(mem_c_2Ebit_2EDIV__2EXP,axiom,
% 5.44/5.72 mem @ c_2Ebit_2EDIV__2EXP @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(stp_fo_c_2Ebit_2EDIV__2EXP,type,
% 5.44/5.72 fo__c_2Ebit_2EDIV__2EXP: tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum ).
% 5.44/5.72
% 5.44/5.72 thf(stp_eq_fo_c_2Ebit_2EDIV__2EXP,axiom,
% 5.44/5.72 ! [X0: tp__ty_2Enum_2Enum,X1: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( inj__ty_2Enum_2Enum @ ( fo__c_2Ebit_2EDIV__2EXP @ X0 @ X1 ) )
% 5.44/5.72 = ( ap @ ( ap @ c_2Ebit_2EDIV__2EXP @ ( inj__ty_2Enum_2Enum @ X0 ) ) @ ( inj__ty_2Enum_2Enum @ X1 ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(tp_c_2Ebit_2ELOG2,type,
% 5.44/5.72 c_2Ebit_2ELOG2: $i ).
% 5.44/5.72
% 5.44/5.72 thf(mem_c_2Ebit_2ELOG2,axiom,
% 5.44/5.72 mem @ c_2Ebit_2ELOG2 @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ).
% 5.44/5.72
% 5.44/5.72 thf(stp_fo_c_2Ebit_2ELOG2,type,
% 5.44/5.72 fo__c_2Ebit_2ELOG2: tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum ).
% 5.44/5.72
% 5.44/5.72 thf(stp_eq_fo_c_2Ebit_2ELOG2,axiom,
% 5.44/5.72 ! [X0: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( inj__ty_2Enum_2Enum @ ( fo__c_2Ebit_2ELOG2 @ X0 ) )
% 5.44/5.72 = ( ap @ c_2Ebit_2ELOG2 @ ( inj__ty_2Enum_2Enum @ X0 ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(tp_c_2Ebit_2ELOWEST__SET__BIT,type,
% 5.44/5.72 c_2Ebit_2ELOWEST__SET__BIT: $i ).
% 5.44/5.72
% 5.44/5.72 thf(mem_c_2Ebit_2ELOWEST__SET__BIT,axiom,
% 5.44/5.72 mem @ c_2Ebit_2ELOWEST__SET__BIT @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ).
% 5.44/5.72
% 5.44/5.72 thf(stp_fo_c_2Ebit_2ELOWEST__SET__BIT,type,
% 5.44/5.72 fo__c_2Ebit_2ELOWEST__SET__BIT: tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum ).
% 5.44/5.72
% 5.44/5.72 thf(stp_eq_fo_c_2Ebit_2ELOWEST__SET__BIT,axiom,
% 5.44/5.72 ! [X0: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( inj__ty_2Enum_2Enum @ ( fo__c_2Ebit_2ELOWEST__SET__BIT @ X0 ) )
% 5.44/5.72 = ( ap @ c_2Ebit_2ELOWEST__SET__BIT @ ( inj__ty_2Enum_2Enum @ X0 ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(tp_c_2Ebit_2EMOD__2EXP,type,
% 5.44/5.72 c_2Ebit_2EMOD__2EXP: $i ).
% 5.44/5.72
% 5.44/5.72 thf(mem_c_2Ebit_2EMOD__2EXP,axiom,
% 5.44/5.72 mem @ c_2Ebit_2EMOD__2EXP @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(stp_fo_c_2Ebit_2EMOD__2EXP,type,
% 5.44/5.72 fo__c_2Ebit_2EMOD__2EXP: tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum ).
% 5.44/5.72
% 5.44/5.72 thf(stp_eq_fo_c_2Ebit_2EMOD__2EXP,axiom,
% 5.44/5.72 ! [X0: tp__ty_2Enum_2Enum,X1: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( inj__ty_2Enum_2Enum @ ( fo__c_2Ebit_2EMOD__2EXP @ X0 @ X1 ) )
% 5.44/5.72 = ( ap @ ( ap @ c_2Ebit_2EMOD__2EXP @ ( inj__ty_2Enum_2Enum @ X0 ) ) @ ( inj__ty_2Enum_2Enum @ X1 ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(tp_c_2Ebit_2EMOD__2EXP__EQ,type,
% 5.44/5.72 c_2Ebit_2EMOD__2EXP__EQ: $i ).
% 5.44/5.72
% 5.44/5.72 thf(mem_c_2Ebit_2EMOD__2EXP__EQ,axiom,
% 5.44/5.72 mem @ c_2Ebit_2EMOD__2EXP__EQ @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ bool ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(tp_c_2Ebit_2EMOD__2EXP__MAX,type,
% 5.44/5.72 c_2Ebit_2EMOD__2EXP__MAX: $i ).
% 5.44/5.72
% 5.44/5.72 thf(mem_c_2Ebit_2EMOD__2EXP__MAX,axiom,
% 5.44/5.72 mem @ c_2Ebit_2EMOD__2EXP__MAX @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ bool ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(tp_c_2Ebit_2ESBIT,type,
% 5.44/5.72 c_2Ebit_2ESBIT: $i ).
% 5.44/5.72
% 5.44/5.72 thf(mem_c_2Ebit_2ESBIT,axiom,
% 5.44/5.72 mem @ c_2Ebit_2ESBIT @ ( arr @ bool @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(tp_c_2Ebit_2ESIGN__EXTEND,type,
% 5.44/5.72 c_2Ebit_2ESIGN__EXTEND: $i ).
% 5.44/5.72
% 5.44/5.72 thf(mem_c_2Ebit_2ESIGN__EXTEND,axiom,
% 5.44/5.72 mem @ c_2Ebit_2ESIGN__EXTEND @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(stp_fo_c_2Ebit_2ESIGN__EXTEND,type,
% 5.44/5.72 fo__c_2Ebit_2ESIGN__EXTEND: tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum ).
% 5.44/5.72
% 5.44/5.72 thf(stp_eq_fo_c_2Ebit_2ESIGN__EXTEND,axiom,
% 5.44/5.72 ! [X0: tp__ty_2Enum_2Enum,X1: tp__ty_2Enum_2Enum,X2: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( inj__ty_2Enum_2Enum @ ( fo__c_2Ebit_2ESIGN__EXTEND @ X0 @ X1 @ X2 ) )
% 5.44/5.72 = ( ap @ ( ap @ ( ap @ c_2Ebit_2ESIGN__EXTEND @ ( inj__ty_2Enum_2Enum @ X0 ) ) @ ( inj__ty_2Enum_2Enum @ X1 ) ) @ ( inj__ty_2Enum_2Enum @ X2 ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(tp_c_2Ebit_2ESLICE,type,
% 5.44/5.72 c_2Ebit_2ESLICE: $i ).
% 5.44/5.72
% 5.44/5.72 thf(mem_c_2Ebit_2ESLICE,axiom,
% 5.44/5.72 mem @ c_2Ebit_2ESLICE @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(stp_fo_c_2Ebit_2ESLICE,type,
% 5.44/5.72 fo__c_2Ebit_2ESLICE: tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum ).
% 5.44/5.72
% 5.44/5.72 thf(stp_eq_fo_c_2Ebit_2ESLICE,axiom,
% 5.44/5.72 ! [X0: tp__ty_2Enum_2Enum,X1: tp__ty_2Enum_2Enum,X2: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( inj__ty_2Enum_2Enum @ ( fo__c_2Ebit_2ESLICE @ X0 @ X1 @ X2 ) )
% 5.44/5.72 = ( ap @ ( ap @ ( ap @ c_2Ebit_2ESLICE @ ( inj__ty_2Enum_2Enum @ X0 ) ) @ ( inj__ty_2Enum_2Enum @ X1 ) ) @ ( inj__ty_2Enum_2Enum @ X2 ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(tp_c_2Ebit_2ETIMES__2EXP,type,
% 5.44/5.72 c_2Ebit_2ETIMES__2EXP: $i ).
% 5.44/5.72
% 5.44/5.72 thf(mem_c_2Ebit_2ETIMES__2EXP,axiom,
% 5.44/5.72 mem @ c_2Ebit_2ETIMES__2EXP @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(stp_fo_c_2Ebit_2ETIMES__2EXP,type,
% 5.44/5.72 fo__c_2Ebit_2ETIMES__2EXP: tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum ).
% 5.44/5.72
% 5.44/5.72 thf(stp_eq_fo_c_2Ebit_2ETIMES__2EXP,axiom,
% 5.44/5.72 ! [X0: tp__ty_2Enum_2Enum,X1: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( inj__ty_2Enum_2Enum @ ( fo__c_2Ebit_2ETIMES__2EXP @ X0 @ X1 ) )
% 5.44/5.72 = ( ap @ ( ap @ c_2Ebit_2ETIMES__2EXP @ ( inj__ty_2Enum_2Enum @ X0 ) ) @ ( inj__ty_2Enum_2Enum @ X1 ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(ax_thm_2Ebit_2EMOD__2EXP__def,axiom,
% 5.44/5.72 ! [V0x: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Ebit_2EMOD__2EXP @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0x ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(ax_thm_2Ebit_2EDIV__2EXP__def,axiom,
% 5.44/5.72 ! [V0x: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Ebit_2EDIV__2EXP @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0x ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(ax_thm_2Ebit_2ETIMES__2EXP__def,axiom,
% 5.44/5.72 ! [V0x: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Ebit_2ETIMES__2EXP @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0x ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(ax_thm_2Ebit_2EDIVMOD__2EXP__def,axiom,
% 5.44/5.72 ! [V0x: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Ebit_2EDIVMOD__2EXP @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.72 = ( surj__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0x ) ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0x ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(ax_thm_2Ebit_2ESBIT__def,axiom,
% 5.44/5.72 ! [V0b: $i] :
% 5.44/5.72 ( ( mem @ V0b @ bool )
% 5.44/5.72 => ! [V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Ebit_2ESBIT @ V0b ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ V0b ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(ax_thm_2Ebit_2EBITS__def,axiom,
% 5.44/5.72 ! [V0h: tp__ty_2Enum_2Enum,V1l: tp__ty_2Enum_2Enum,V2n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBITS @ ( inj__ty_2Enum_2Enum @ V0h ) ) @ ( inj__ty_2Enum_2Enum @ V1l ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Ebit_2EMOD__2EXP @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0h ) ) ) @ ( inj__ty_2Enum_2Enum @ V1l ) ) ) @ ( ap @ ( ap @ c_2Ebit_2EDIV__2EXP @ ( inj__ty_2Enum_2Enum @ V1l ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(ax_thm_2Ebit_2EBITV__def,axiom,
% 5.44/5.72 ! [V0n: tp__ty_2Enum_2Enum,V1b: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Ebit_2EBITV @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBITS @ ( inj__ty_2Enum_2Enum @ V1b ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(ax_thm_2Ebit_2EBIT__def,axiom,
% 5.44/5.72 ! [V0b: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( p @ ( ap @ ( ap @ c_2Ebit_2EBIT @ ( inj__ty_2Enum_2Enum @ V0b ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.72 <=> ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBITS @ ( inj__ty_2Enum_2Enum @ V0b ) ) @ ( inj__ty_2Enum_2Enum @ V0b ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(ax_thm_2Ebit_2ESLICE__def,axiom,
% 5.44/5.72 ! [V0h: tp__ty_2Enum_2Enum,V1l: tp__ty_2Enum_2Enum,V2n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Ebit_2ESLICE @ ( inj__ty_2Enum_2Enum @ V0h ) ) @ ( inj__ty_2Enum_2Enum @ V1l ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ ( ap @ c_2Ebit_2EMOD__2EXP @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0h ) ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) @ ( ap @ ( ap @ c_2Ebit_2EMOD__2EXP @ ( inj__ty_2Enum_2Enum @ V1l ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(ax_thm_2Ebit_2ELOG2__def,axiom,
% 5.44/5.72 ( c_2Ebit_2ELOG2
% 5.44/5.72 = ( ap @ c_2Elogroot_2ELOG @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(ax_thm_2Ebit_2ELOWEST__SET__BIT__def,axiom,
% 5.44/5.72 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Ebit_2ELOWEST__SET__BIT @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum
% 5.44/5.72 @ ( ap @ c_2Ewhile_2ELEAST
% 5.44/5.72 @ ( lam @ ty_2Enum_2Enum
% 5.44/5.72 @ ^ [V1i: $i] : ( ap @ ( ap @ c_2Ebit_2EBIT @ V1i ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(ax_thm_2Ebit_2EBIT__REVERSE__def,axiom,
% 5.44/5.72 ( ! [V0x: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Ebit_2EBIT__REVERSE @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0x ) ) )
% 5.44/5.72 = fo__c_2Enum_2E0 )
% 5.44/5.72 & ! [V1n: tp__ty_2Enum_2Enum,V2x: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Ebit_2EBIT__REVERSE @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ ( inj__ty_2Enum_2Enum @ V2x ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ ( ap @ c_2Ebit_2EBIT__REVERSE @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V2x ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( ap @ c_2Ebit_2ESBIT @ ( ap @ ( ap @ c_2Ebit_2EBIT @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V2x ) ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(ax_thm_2Ebit_2EBITWISE__def,axiom,
% 5.44/5.72 ( ! [V0op: $i] :
% 5.44/5.72 ( ( mem @ V0op @ ( arr @ bool @ ( arr @ bool @ bool ) ) )
% 5.44/5.72 => ! [V1x: tp__ty_2Enum_2Enum,V2y: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBITWISE @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ V0op ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( inj__ty_2Enum_2Enum @ V2y ) ) )
% 5.44/5.72 = fo__c_2Enum_2E0 ) )
% 5.44/5.72 & ! [V3n: tp__ty_2Enum_2Enum,V4op: $i] :
% 5.44/5.72 ( ( mem @ V4op @ ( arr @ bool @ ( arr @ bool @ bool ) ) )
% 5.44/5.72 => ! [V5x: tp__ty_2Enum_2Enum,V6y: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBITWISE @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) @ V4op ) @ ( inj__ty_2Enum_2Enum @ V5x ) ) @ ( inj__ty_2Enum_2Enum @ V6y ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBITWISE @ ( inj__ty_2Enum_2Enum @ V3n ) ) @ V4op ) @ ( inj__ty_2Enum_2Enum @ V5x ) ) @ ( inj__ty_2Enum_2Enum @ V6y ) ) ) @ ( ap @ ( ap @ c_2Ebit_2ESBIT @ ( ap @ ( ap @ V4op @ ( ap @ ( ap @ c_2Ebit_2EBIT @ ( inj__ty_2Enum_2Enum @ V3n ) ) @ ( inj__ty_2Enum_2Enum @ V5x ) ) ) @ ( ap @ ( ap @ c_2Ebit_2EBIT @ ( inj__ty_2Enum_2Enum @ V3n ) ) @ ( inj__ty_2Enum_2Enum @ V6y ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(ax_thm_2Ebit_2EBIT__MODIFY__def,axiom,
% 5.44/5.72 ( ! [V0f: $i] :
% 5.44/5.72 ( ( mem @ V0f @ ( arr @ ty_2Enum_2Enum @ ( arr @ bool @ bool ) ) )
% 5.44/5.72 => ! [V1x: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBIT__MODIFY @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ V0f ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.44/5.72 = fo__c_2Enum_2E0 ) )
% 5.44/5.72 & ! [V2n: tp__ty_2Enum_2Enum,V3f: $i] :
% 5.44/5.72 ( ( mem @ V3f @ ( arr @ ty_2Enum_2Enum @ ( arr @ bool @ bool ) ) )
% 5.44/5.72 => ! [V4x: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBIT__MODIFY @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) @ V3f ) @ ( inj__ty_2Enum_2Enum @ V4x ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBIT__MODIFY @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ V3f ) @ ( inj__ty_2Enum_2Enum @ V4x ) ) ) @ ( ap @ ( ap @ c_2Ebit_2ESBIT @ ( ap @ ( ap @ V3f @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( ap @ ( ap @ c_2Ebit_2EBIT @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( inj__ty_2Enum_2Enum @ V4x ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(ax_thm_2Ebit_2ESIGN__EXTEND__def,axiom,
% 5.44/5.72 ! [V0l: tp__ty_2Enum_2Enum,V1h: tp__ty_2Enum_2Enum,V2n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Ebit_2ESIGN__EXTEND @ ( inj__ty_2Enum_2Enum @ V0l ) ) @ ( inj__ty_2Enum_2Enum @ V1h ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum
% 5.44/5.72 @ ( ap
% 5.44/5.72 @ ( ap @ ( c_2Ebool_2ELET @ ty_2Enum_2Enum @ ty_2Enum_2Enum )
% 5.44/5.72 @ ( lam @ ty_2Enum_2Enum
% 5.44/5.72 @ ^ [V3m: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ c_2Ebit_2EBIT @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1h ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0l ) ) ) ) @ V3m ) ) @ V3m ) ) )
% 5.44/5.72 @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0l ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(ax_thm_2Ebit_2EMOD__2EXP__EQ__def,axiom,
% 5.44/5.72 ! [V0n: tp__ty_2Enum_2Enum,V1a: tp__ty_2Enum_2Enum,V2b: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( p @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EMOD__2EXP__EQ @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1a ) ) @ ( inj__ty_2Enum_2Enum @ V2b ) ) )
% 5.44/5.72 <=> ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Ebit_2EMOD__2EXP @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1a ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Ebit_2EMOD__2EXP @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V2b ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(ax_thm_2Ebit_2EMOD__2EXP__MAX__def,axiom,
% 5.44/5.72 ! [V0n: tp__ty_2Enum_2Enum,V1a: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( p @ ( ap @ ( ap @ c_2Ebit_2EMOD__2EXP__MAX @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1a ) ) )
% 5.44/5.72 <=> ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Ebit_2EMOD__2EXP @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1a ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2ELESS__MULT__MONO2,axiom,
% 5.44/5.72 ! [V0a: tp__ty_2Enum_2Enum,V1b: tp__ty_2Enum_2Enum,V2x: tp__ty_2Enum_2Enum,V3y: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( inj__ty_2Enum_2Enum @ V2x ) ) )
% 5.44/5.72 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1b ) ) @ ( inj__ty_2Enum_2Enum @ V3y ) ) ) )
% 5.44/5.72 => ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V2x ) ) @ ( inj__ty_2Enum_2Enum @ V3y ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2ELOG2__UNIQUE,axiom,
% 5.44/5.72 ! [V0n: tp__ty_2Enum_2Enum,V1p: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1p ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.72 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1p ) ) ) ) ) )
% 5.44/5.72 => ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Ebit_2ELOG2 @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.72 = V1p ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2ELOG2__TWOEXP,axiom,
% 5.44/5.72 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Ebit_2ELOG2 @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) )
% 5.44/5.72 = V0n ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2EDIVMOD__2EXP,axiom,
% 5.44/5.72 ! [V0x: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Ebit_2EDIVMOD__2EXP @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.72 = ( surj__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ c_2Ebit_2EDIV__2EXP @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ ( ap @ ( ap @ c_2Ebit_2EMOD__2EXP @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2ESUC__SUB,axiom,
% 5.44/5.72 ! [V0a: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0a ) ) ) @ ( inj__ty_2Enum_2Enum @ V0a ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2EDIV__MULT__1,axiom,
% 5.44/5.72 ! [V0r: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0r ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.72 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V0r ) ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2ENOT__ZERO__ADD1,axiom,
% 5.44/5.72 ! [V0m: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( V0m != fo__c_2Enum_2E0 )
% 5.44/5.72 => ? [V1p: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( V0m
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1p ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2EZERO__LT__TWOEXP,axiom,
% 5.44/5.72 ! [V0n: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2EONE__LE__TWOEXP,axiom,
% 5.44/5.72 ! [V0n: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2ETWOEXP__NOT__ZERO,axiom,
% 5.44/5.72 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.72 != fo__c_2Enum_2E0 ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2EMOD__2EXP__LT,axiom,
% 5.44/5.72 ! [V0n: tp__ty_2Enum_2Enum,V1k: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V1k ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2ETWOEXP__DIVISION,axiom,
% 5.44/5.72 ! [V0n: tp__ty_2Enum_2Enum,V1k: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( V1k
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( inj__ty_2Enum_2Enum @ V1k ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V1k ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2ETWOEXP__MONO,axiom,
% 5.44/5.72 ! [V0a: tp__ty_2Enum_2Enum,V1b: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) )
% 5.44/5.72 => ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0a ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2ETWOEXP__MONO2,axiom,
% 5.44/5.72 ! [V0a: tp__ty_2Enum_2Enum,V1b: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) )
% 5.44/5.72 => ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0a ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2EEXP__SUB__LESS__EQ,axiom,
% 5.44/5.72 ! [V0a: tp__ty_2Enum_2Enum,V1b: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0a ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2EMOD__LEQ,axiom,
% 5.44/5.72 ! [V0a: tp__ty_2Enum_2Enum,V1b: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) )
% 5.44/5.72 => ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) ) @ ( inj__ty_2Enum_2Enum @ V0a ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2EBITS__THM,axiom,
% 5.44/5.72 ! [V0h: tp__ty_2Enum_2Enum,V1l: tp__ty_2Enum_2Enum,V2n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBITS @ ( inj__ty_2Enum_2Enum @ V0h ) ) @ ( inj__ty_2Enum_2Enum @ V1l ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1l ) ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0h ) ) ) @ ( inj__ty_2Enum_2Enum @ V1l ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2EBITSLT__THM,axiom,
% 5.44/5.72 ! [V0h: tp__ty_2Enum_2Enum,V1l: tp__ty_2Enum_2Enum,V2n: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBITS @ ( inj__ty_2Enum_2Enum @ V0h ) ) @ ( inj__ty_2Enum_2Enum @ V1l ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0h ) ) ) @ ( inj__ty_2Enum_2Enum @ V1l ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2EBITSLT__THM2,axiom,
% 5.44/5.72 ! [V0h: tp__ty_2Enum_2Enum,V1l: tp__ty_2Enum_2Enum,V2n: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBITS @ ( inj__ty_2Enum_2Enum @ V0h ) ) @ ( inj__ty_2Enum_2Enum @ V1l ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0h ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2EBITS__THM2,axiom,
% 5.44/5.72 ! [V0h: tp__ty_2Enum_2Enum,V1l: tp__ty_2Enum_2Enum,V2n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBITS @ ( inj__ty_2Enum_2Enum @ V0h ) ) @ ( inj__ty_2Enum_2Enum @ V1l ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0h ) ) ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1l ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2EBITS__LEQ,axiom,
% 5.44/5.72 ! [V0h: tp__ty_2Enum_2Enum,V1l: tp__ty_2Enum_2Enum,V2n: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBITS @ ( inj__ty_2Enum_2Enum @ V0h ) ) @ ( inj__ty_2Enum_2Enum @ V1l ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2EBITS__COMP__THM,axiom,
% 5.44/5.72 ! [V0h1: tp__ty_2Enum_2Enum,V1l1: tp__ty_2Enum_2Enum,V2h2: tp__ty_2Enum_2Enum,V3l2: tp__ty_2Enum_2Enum,V4n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V2h2 ) ) @ ( inj__ty_2Enum_2Enum @ V1l1 ) ) ) @ ( inj__ty_2Enum_2Enum @ V0h1 ) ) )
% 5.44/5.72 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBITS @ ( inj__ty_2Enum_2Enum @ V2h2 ) ) @ ( inj__ty_2Enum_2Enum @ V3l2 ) ) @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBITS @ ( inj__ty_2Enum_2Enum @ V0h1 ) ) @ ( inj__ty_2Enum_2Enum @ V1l1 ) ) @ ( inj__ty_2Enum_2Enum @ V4n ) ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBITS @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V2h2 ) ) @ ( inj__ty_2Enum_2Enum @ V1l1 ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V3l2 ) ) @ ( inj__ty_2Enum_2Enum @ V1l1 ) ) ) @ ( inj__ty_2Enum_2Enum @ V4n ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2EBITS__DIV__THM,axiom,
% 5.44/5.72 ! [V0h: tp__ty_2Enum_2Enum,V1l: tp__ty_2Enum_2Enum,V2x: tp__ty_2Enum_2Enum,V3n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBITS @ ( inj__ty_2Enum_2Enum @ V0h ) ) @ ( inj__ty_2Enum_2Enum @ V1l ) ) @ ( inj__ty_2Enum_2Enum @ V2x ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBITS @ ( inj__ty_2Enum_2Enum @ V0h ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1l ) ) @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) @ ( inj__ty_2Enum_2Enum @ V2x ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2EBITS__LT__HIGH,axiom,
% 5.44/5.72 ! [V0h: tp__ty_2Enum_2Enum,V1l: tp__ty_2Enum_2Enum,V2n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0h ) ) ) ) )
% 5.44/5.72 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBITS @ ( inj__ty_2Enum_2Enum @ V0h ) ) @ ( inj__ty_2Enum_2Enum @ V1l ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1l ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2EBITS__ZERO,axiom,
% 5.44/5.72 ! [V0h: tp__ty_2Enum_2Enum,V1l: tp__ty_2Enum_2Enum,V2n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0h ) ) @ ( inj__ty_2Enum_2Enum @ V1l ) ) )
% 5.44/5.72 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBITS @ ( inj__ty_2Enum_2Enum @ V0h ) ) @ ( inj__ty_2Enum_2Enum @ V1l ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) )
% 5.44/5.72 = fo__c_2Enum_2E0 ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2EBITS__ZERO2,axiom,
% 5.44/5.72 ! [V0h: tp__ty_2Enum_2Enum,V1l: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBITS @ ( inj__ty_2Enum_2Enum @ V0h ) ) @ ( inj__ty_2Enum_2Enum @ V1l ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.44/5.72 = fo__c_2Enum_2E0 ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2EBITS__ZERO3,axiom,
% 5.44/5.72 ! [V0h: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBITS @ ( inj__ty_2Enum_2Enum @ V0h ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0h ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2EBITS__ZERO4,axiom,
% 5.44/5.72 ! [V0h: tp__ty_2Enum_2Enum,V1l: tp__ty_2Enum_2Enum,V2a: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1l ) ) @ ( inj__ty_2Enum_2Enum @ V0h ) ) )
% 5.44/5.72 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBITS @ ( inj__ty_2Enum_2Enum @ V0h ) ) @ ( inj__ty_2Enum_2Enum @ V1l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V2a ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1l ) ) ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBITS @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V0h ) ) @ ( inj__ty_2Enum_2Enum @ V1l ) ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V2a ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2EBITS__ZEROL,axiom,
% 5.44/5.72 ! [V0h: tp__ty_2Enum_2Enum,V1a: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1a ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0h ) ) ) ) )
% 5.44/5.72 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBITS @ ( inj__ty_2Enum_2Enum @ V0h ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V1a ) ) )
% 5.44/5.72 = V1a ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2EBITS__LOG2__ZERO__ID,axiom,
% 5.44/5.72 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.72 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBITS @ ( ap @ c_2Ebit_2ELOG2 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.72 = V0n ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2EBITS__LT__LOW,axiom,
% 5.44/5.72 ! [V0h: tp__ty_2Enum_2Enum,V1l: tp__ty_2Enum_2Enum,V2n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1l ) ) ) )
% 5.44/5.72 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBITS @ ( inj__ty_2Enum_2Enum @ V0h ) ) @ ( inj__ty_2Enum_2Enum @ V1l ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) )
% 5.44/5.72 = fo__c_2Enum_2E0 ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2EBIT__ZERO,axiom,
% 5.44/5.72 ! [V0b: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ~ ( p @ ( ap @ ( ap @ c_2Ebit_2EBIT @ ( inj__ty_2Enum_2Enum @ V0b ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2EBIT__B,axiom,
% 5.44/5.72 ! [V0b: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ c_2Ebit_2EBIT @ ( inj__ty_2Enum_2Enum @ V0b ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0b ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2EBIT__TWO__POW,axiom,
% 5.44/5.72 ! [V0n: tp__ty_2Enum_2Enum,V1m: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( p @ ( ap @ ( ap @ c_2Ebit_2EBIT @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) )
% 5.44/5.72 <=> ( V1m = V0n ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2EBIT__B__NEQ,axiom,
% 5.44/5.72 ! [V0a: tp__ty_2Enum_2Enum,V1b: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( V0a != V1b )
% 5.44/5.72 => ~ ( p @ ( ap @ ( ap @ c_2Ebit_2EBIT @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2EBITS__COMP__THM2,axiom,
% 5.44/5.72 ! [V0h1: tp__ty_2Enum_2Enum,V1l1: tp__ty_2Enum_2Enum,V2h2: tp__ty_2Enum_2Enum,V3l2: tp__ty_2Enum_2Enum,V4n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBITS @ ( inj__ty_2Enum_2Enum @ V2h2 ) ) @ ( inj__ty_2Enum_2Enum @ V3l2 ) ) @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBITS @ ( inj__ty_2Enum_2Enum @ V0h1 ) ) @ ( inj__ty_2Enum_2Enum @ V1l1 ) ) @ ( inj__ty_2Enum_2Enum @ V4n ) ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBITS @ ( ap @ ( ap @ c_2Earithmetic_2EMIN @ ( inj__ty_2Enum_2Enum @ V0h1 ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V2h2 ) ) @ ( inj__ty_2Enum_2Enum @ V1l1 ) ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V3l2 ) ) @ ( inj__ty_2Enum_2Enum @ V1l1 ) ) ) @ ( inj__ty_2Enum_2Enum @ V4n ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2ENOT__MOD2__LEM,axiom,
% 5.44/5.72 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.44/5.72 != fo__c_2Enum_2E0 )
% 5.44/5.72 <=> ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2ENOT__MOD2__LEM2,axiom,
% 5.44/5.72 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.44/5.72 != ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.44/5.72 <=> ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.44/5.72 = fo__c_2Enum_2E0 ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2EODD__MOD2__LEM,axiom,
% 5.44/5.72 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( p @ ( ap @ c_2Earithmetic_2EODD @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.72 <=> ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2EDIV__MULT__THM,axiom,
% 5.44/5.72 ! [V0x: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0x ) ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0x ) ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0x ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2EDIV__MULT__THM2,axiom,
% 5.44/5.72 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2ELESS__EQ__EXP__MULT,axiom,
% 5.44/5.72 ! [V0a: tp__ty_2Enum_2Enum,V1b: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) )
% 5.44/5.72 => ? [V2p: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V2p ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0a ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2ESLICE__THM,axiom,
% 5.44/5.72 ! [V0n: tp__ty_2Enum_2Enum,V1h: tp__ty_2Enum_2Enum,V2l: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Ebit_2ESLICE @ ( inj__ty_2Enum_2Enum @ V1h ) ) @ ( inj__ty_2Enum_2Enum @ V2l ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBITS @ ( inj__ty_2Enum_2Enum @ V1h ) ) @ ( inj__ty_2Enum_2Enum @ V2l ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V2l ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2ESLICELT__THM,axiom,
% 5.44/5.72 ! [V0h: tp__ty_2Enum_2Enum,V1l: tp__ty_2Enum_2Enum,V2n: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ ( ap @ ( ap @ c_2Ebit_2ESLICE @ ( inj__ty_2Enum_2Enum @ V0h ) ) @ ( inj__ty_2Enum_2Enum @ V1l ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0h ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2EBITS__SLICE__THM,axiom,
% 5.44/5.72 ! [V0h: tp__ty_2Enum_2Enum,V1l: tp__ty_2Enum_2Enum,V2n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBITS @ ( inj__ty_2Enum_2Enum @ V0h ) ) @ ( inj__ty_2Enum_2Enum @ V1l ) ) @ ( ap @ ( ap @ ( ap @ c_2Ebit_2ESLICE @ ( inj__ty_2Enum_2Enum @ V0h ) ) @ ( inj__ty_2Enum_2Enum @ V1l ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBITS @ ( inj__ty_2Enum_2Enum @ V0h ) ) @ ( inj__ty_2Enum_2Enum @ V1l ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2EBITS__SLICE__THM2,axiom,
% 5.44/5.72 ! [V0h: tp__ty_2Enum_2Enum,V1h2: tp__ty_2Enum_2Enum,V2l: tp__ty_2Enum_2Enum,V3n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0h ) ) @ ( inj__ty_2Enum_2Enum @ V1h2 ) ) )
% 5.44/5.72 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBITS @ ( inj__ty_2Enum_2Enum @ V1h2 ) ) @ ( inj__ty_2Enum_2Enum @ V2l ) ) @ ( ap @ ( ap @ ( ap @ c_2Ebit_2ESLICE @ ( inj__ty_2Enum_2Enum @ V0h ) ) @ ( inj__ty_2Enum_2Enum @ V2l ) ) @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBITS @ ( inj__ty_2Enum_2Enum @ V0h ) ) @ ( inj__ty_2Enum_2Enum @ V2l ) ) @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2ESLICE__ZERO__THM,axiom,
% 5.44/5.72 ! [V0n: tp__ty_2Enum_2Enum,V1h: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Ebit_2ESLICE @ ( inj__ty_2Enum_2Enum @ V1h ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBITS @ ( inj__ty_2Enum_2Enum @ V1h ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2EMOD__2EXP__MONO,axiom,
% 5.44/5.72 ! [V0n: tp__ty_2Enum_2Enum,V1h: tp__ty_2Enum_2Enum,V2l: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V2l ) ) @ ( inj__ty_2Enum_2Enum @ V1h ) ) )
% 5.44/5.72 => ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V2l ) ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1h ) ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2ESLICE__COMP__THM,axiom,
% 5.44/5.72 ! [V0h: tp__ty_2Enum_2Enum,V1m: tp__ty_2Enum_2Enum,V2l: tp__ty_2Enum_2Enum,V3n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) @ ( inj__ty_2Enum_2Enum @ V0h ) ) )
% 5.44/5.72 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V2l ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) )
% 5.44/5.72 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ ( ap @ c_2Ebit_2ESLICE @ ( inj__ty_2Enum_2Enum @ V0h ) ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) @ ( ap @ ( ap @ ( ap @ c_2Ebit_2ESLICE @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( inj__ty_2Enum_2Enum @ V2l ) ) @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Ebit_2ESLICE @ ( inj__ty_2Enum_2Enum @ V0h ) ) @ ( inj__ty_2Enum_2Enum @ V2l ) ) @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2ESLICE__COMP__RWT,axiom,
% 5.44/5.72 ! [V0h: tp__ty_2Enum_2Enum,V1m_27: tp__ty_2Enum_2Enum,V2m: tp__ty_2Enum_2Enum,V3l: tp__ty_2Enum_2Enum,V4n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V3l ) ) @ ( inj__ty_2Enum_2Enum @ V2m ) ) )
% 5.44/5.72 & ( V1m_27
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V2m ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.44/5.72 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V2m ) ) @ ( inj__ty_2Enum_2Enum @ V0h ) ) ) )
% 5.44/5.72 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ ( ap @ c_2Ebit_2ESLICE @ ( inj__ty_2Enum_2Enum @ V0h ) ) @ ( inj__ty_2Enum_2Enum @ V1m_27 ) ) @ ( inj__ty_2Enum_2Enum @ V4n ) ) ) @ ( ap @ ( ap @ ( ap @ c_2Ebit_2ESLICE @ ( inj__ty_2Enum_2Enum @ V2m ) ) @ ( inj__ty_2Enum_2Enum @ V3l ) ) @ ( inj__ty_2Enum_2Enum @ V4n ) ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Ebit_2ESLICE @ ( inj__ty_2Enum_2Enum @ V0h ) ) @ ( inj__ty_2Enum_2Enum @ V3l ) ) @ ( inj__ty_2Enum_2Enum @ V4n ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2ESLICE__ZERO,axiom,
% 5.44/5.72 ! [V0h: tp__ty_2Enum_2Enum,V1l: tp__ty_2Enum_2Enum,V2n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0h ) ) @ ( inj__ty_2Enum_2Enum @ V1l ) ) )
% 5.44/5.72 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Ebit_2ESLICE @ ( inj__ty_2Enum_2Enum @ V0h ) ) @ ( inj__ty_2Enum_2Enum @ V1l ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) )
% 5.44/5.72 = fo__c_2Enum_2E0 ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2ESLICE__ZERO2,axiom,
% 5.44/5.72 ! [V0l: tp__ty_2Enum_2Enum,V1h: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Ebit_2ESLICE @ ( inj__ty_2Enum_2Enum @ V1h ) ) @ ( inj__ty_2Enum_2Enum @ V0l ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.44/5.72 = fo__c_2Enum_2E0 ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2EBITS__SUM,axiom,
% 5.44/5.72 ! [V0h: tp__ty_2Enum_2Enum,V1l: tp__ty_2Enum_2Enum,V2a: tp__ty_2Enum_2Enum,V3b: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V3b ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1l ) ) ) )
% 5.44/5.72 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBITS @ ( inj__ty_2Enum_2Enum @ V0h ) ) @ ( inj__ty_2Enum_2Enum @ V1l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V2a ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1l ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V3b ) ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBITS @ ( inj__ty_2Enum_2Enum @ V0h ) ) @ ( inj__ty_2Enum_2Enum @ V1l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V2a ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1l ) ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2EBITS__SUM2,axiom,
% 5.44/5.72 ! [V0h: tp__ty_2Enum_2Enum,V1l: tp__ty_2Enum_2Enum,V2a: tp__ty_2Enum_2Enum,V3b: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBITS @ ( inj__ty_2Enum_2Enum @ V0h ) ) @ ( inj__ty_2Enum_2Enum @ V1l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V2a ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0h ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V3b ) ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBITS @ ( inj__ty_2Enum_2Enum @ V0h ) ) @ ( inj__ty_2Enum_2Enum @ V1l ) ) @ ( inj__ty_2Enum_2Enum @ V3b ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2ESLICE__COMP__THM2,axiom,
% 5.44/5.72 ! [V0h: tp__ty_2Enum_2Enum,V1l: tp__ty_2Enum_2Enum,V2x: tp__ty_2Enum_2Enum,V3y: tp__ty_2Enum_2Enum,V4n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0h ) ) @ ( inj__ty_2Enum_2Enum @ V2x ) ) )
% 5.44/5.72 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V3y ) ) @ ( inj__ty_2Enum_2Enum @ V1l ) ) ) )
% 5.44/5.72 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Ebit_2ESLICE @ ( inj__ty_2Enum_2Enum @ V0h ) ) @ ( inj__ty_2Enum_2Enum @ V1l ) ) @ ( ap @ ( ap @ ( ap @ c_2Ebit_2ESLICE @ ( inj__ty_2Enum_2Enum @ V2x ) ) @ ( inj__ty_2Enum_2Enum @ V3y ) ) @ ( inj__ty_2Enum_2Enum @ V4n ) ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Ebit_2ESLICE @ ( inj__ty_2Enum_2Enum @ V0h ) ) @ ( inj__ty_2Enum_2Enum @ V1l ) ) @ ( inj__ty_2Enum_2Enum @ V4n ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2EBITS__SUM3,axiom,
% 5.44/5.72 ! [V0h: tp__ty_2Enum_2Enum,V1a: tp__ty_2Enum_2Enum,V2b: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBITS @ ( inj__ty_2Enum_2Enum @ V0h ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBITS @ ( inj__ty_2Enum_2Enum @ V0h ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V1a ) ) ) @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBITS @ ( inj__ty_2Enum_2Enum @ V0h ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V2b ) ) ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBITS @ ( inj__ty_2Enum_2Enum @ V0h ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1a ) ) @ ( inj__ty_2Enum_2Enum @ V2b ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2EBITS__MUL,axiom,
% 5.44/5.72 ! [V0h: tp__ty_2Enum_2Enum,V1a: tp__ty_2Enum_2Enum,V2b: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBITS @ ( inj__ty_2Enum_2Enum @ V0h ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBITS @ ( inj__ty_2Enum_2Enum @ V0h ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V1a ) ) ) @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBITS @ ( inj__ty_2Enum_2Enum @ V0h ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V2b ) ) ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBITS @ ( inj__ty_2Enum_2Enum @ V0h ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V1a ) ) @ ( inj__ty_2Enum_2Enum @ V2b ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2EBIT__COMP__THM3,axiom,
% 5.44/5.72 ! [V0h: tp__ty_2Enum_2Enum,V1m: tp__ty_2Enum_2Enum,V2l: tp__ty_2Enum_2Enum,V3n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) @ ( inj__ty_2Enum_2Enum @ V0h ) ) )
% 5.44/5.72 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V2l ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) )
% 5.44/5.72 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBITS @ ( inj__ty_2Enum_2Enum @ V0h ) ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) @ ( inj__ty_2Enum_2Enum @ V2l ) ) ) ) ) @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBITS @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( inj__ty_2Enum_2Enum @ V2l ) ) @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBITS @ ( inj__ty_2Enum_2Enum @ V0h ) ) @ ( inj__ty_2Enum_2Enum @ V2l ) ) @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2ENOT__BIT,axiom,
% 5.44/5.72 ! [V0n: tp__ty_2Enum_2Enum,V1a: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ~ ( p @ ( ap @ ( ap @ c_2Ebit_2EBIT @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1a ) ) )
% 5.44/5.72 <=> ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBITS @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1a ) ) )
% 5.44/5.72 = fo__c_2Enum_2E0 ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2ENOT__BITS,axiom,
% 5.44/5.72 ! [V0n: tp__ty_2Enum_2Enum,V1a: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBITS @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1a ) ) )
% 5.44/5.72 != fo__c_2Enum_2E0 )
% 5.44/5.72 <=> ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBITS @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1a ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2ENOT__BITS2,axiom,
% 5.44/5.72 ! [V0n: tp__ty_2Enum_2Enum,V1a: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBITS @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1a ) ) )
% 5.44/5.72 != ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.44/5.72 <=> ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBITS @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1a ) ) )
% 5.44/5.72 = fo__c_2Enum_2E0 ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2EBIT__SLICE,axiom,
% 5.44/5.72 ! [V0n: tp__ty_2Enum_2Enum,V1a: tp__ty_2Enum_2Enum,V2b: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( ( p @ ( ap @ ( ap @ c_2Ebit_2EBIT @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1a ) ) )
% 5.44/5.72 <=> ( p @ ( ap @ ( ap @ c_2Ebit_2EBIT @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V2b ) ) ) )
% 5.44/5.72 <=> ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Ebit_2ESLICE @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1a ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Ebit_2ESLICE @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V2b ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2EBIT__SLICE__LEM,axiom,
% 5.44/5.72 ! [V0y: tp__ty_2Enum_2Enum,V1x: tp__ty_2Enum_2Enum,V2n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Ebit_2ESBIT @ ( ap @ ( ap @ c_2Ebit_2EBIT @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( inj__ty_2Enum_2Enum @ V0y ) ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ ( ap @ ( ap @ c_2Ebit_2ESLICE @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0y ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2EBIT__SLICE__THM,axiom,
% 5.44/5.72 ! [V0x: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Ebit_2ESBIT @ ( ap @ ( ap @ c_2Ebit_2EBIT @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ ( inj__ty_2Enum_2Enum @ V0x ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Ebit_2ESLICE @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2EBIT__SLICE__THM2,axiom,
% 5.44/5.72 ! [V0b: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( p @ ( ap @ ( ap @ c_2Ebit_2EBIT @ ( inj__ty_2Enum_2Enum @ V0b ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.72 <=> ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Ebit_2ESLICE @ ( inj__ty_2Enum_2Enum @ V0b ) ) @ ( inj__ty_2Enum_2Enum @ V0b ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0b ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2EBIT__SLICE__THM3,axiom,
% 5.44/5.72 ! [V0b: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ~ ( p @ ( ap @ ( ap @ c_2Ebit_2EBIT @ ( inj__ty_2Enum_2Enum @ V0b ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.72 <=> ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Ebit_2ESLICE @ ( inj__ty_2Enum_2Enum @ V0b ) ) @ ( inj__ty_2Enum_2Enum @ V0b ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.72 = fo__c_2Enum_2E0 ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2EBIT__SLICE__THM4,axiom,
% 5.44/5.72 ! [V0b: tp__ty_2Enum_2Enum,V1h: tp__ty_2Enum_2Enum,V2l: tp__ty_2Enum_2Enum,V3n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( p @ ( ap @ ( ap @ c_2Ebit_2EBIT @ ( inj__ty_2Enum_2Enum @ V0b ) ) @ ( ap @ ( ap @ ( ap @ c_2Ebit_2ESLICE @ ( inj__ty_2Enum_2Enum @ V1h ) ) @ ( inj__ty_2Enum_2Enum @ V2l ) ) @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) )
% 5.44/5.72 <=> ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V2l ) ) @ ( inj__ty_2Enum_2Enum @ V0b ) ) )
% 5.44/5.72 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0b ) ) @ ( inj__ty_2Enum_2Enum @ V1h ) ) )
% 5.44/5.72 & ( p @ ( ap @ ( ap @ c_2Ebit_2EBIT @ ( inj__ty_2Enum_2Enum @ V0b ) ) @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2ESBIT__DIV,axiom,
% 5.44/5.72 ! [V0b: $i] :
% 5.44/5.72 ( ( mem @ V0b @ bool )
% 5.44/5.72 => ! [V1m: tp__ty_2Enum_2Enum,V2n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) )
% 5.44/5.72 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Ebit_2ESBIT @ V0b ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( ap @ ( ap @ c_2Ebit_2ESBIT @ V0b ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2EBITS__SUC,axiom,
% 5.44/5.72 ! [V0h: tp__ty_2Enum_2Enum,V1l: tp__ty_2Enum_2Enum,V2n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1l ) ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0h ) ) ) )
% 5.44/5.72 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ c_2Ebit_2ESBIT @ ( ap @ ( ap @ c_2Ebit_2EBIT @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0h ) ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0h ) ) ) @ ( inj__ty_2Enum_2Enum @ V1l ) ) ) ) @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBITS @ ( inj__ty_2Enum_2Enum @ V0h ) ) @ ( inj__ty_2Enum_2Enum @ V1l ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBITS @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0h ) ) ) @ ( inj__ty_2Enum_2Enum @ V1l ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2EBITS__SUC__THM,axiom,
% 5.44/5.72 ! [V0h: tp__ty_2Enum_2Enum,V1l: tp__ty_2Enum_2Enum,V2n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBITS @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0h ) ) ) @ ( inj__ty_2Enum_2Enum @ V1l ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0h ) ) ) @ ( inj__ty_2Enum_2Enum @ V1l ) ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ c_2Ebit_2ESBIT @ ( ap @ ( ap @ c_2Ebit_2EBIT @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0h ) ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0h ) ) ) @ ( inj__ty_2Enum_2Enum @ V1l ) ) ) ) @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBITS @ ( inj__ty_2Enum_2Enum @ V0h ) ) @ ( inj__ty_2Enum_2Enum @ V1l ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2EBIT__BITS__THM,axiom,
% 5.44/5.72 ! [V0h: tp__ty_2Enum_2Enum,V1l: tp__ty_2Enum_2Enum,V2a: tp__ty_2Enum_2Enum,V3b: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ! [V4x: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1l ) ) @ ( inj__ty_2Enum_2Enum @ V4x ) ) )
% 5.44/5.72 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V4x ) ) @ ( inj__ty_2Enum_2Enum @ V0h ) ) ) )
% 5.44/5.72 => ( ( p @ ( ap @ ( ap @ c_2Ebit_2EBIT @ ( inj__ty_2Enum_2Enum @ V4x ) ) @ ( inj__ty_2Enum_2Enum @ V2a ) ) )
% 5.44/5.72 <=> ( p @ ( ap @ ( ap @ c_2Ebit_2EBIT @ ( inj__ty_2Enum_2Enum @ V4x ) ) @ ( inj__ty_2Enum_2Enum @ V3b ) ) ) ) )
% 5.44/5.72 <=> ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBITS @ ( inj__ty_2Enum_2Enum @ V0h ) ) @ ( inj__ty_2Enum_2Enum @ V1l ) ) @ ( inj__ty_2Enum_2Enum @ V2a ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBITS @ ( inj__ty_2Enum_2Enum @ V0h ) ) @ ( inj__ty_2Enum_2Enum @ V1l ) ) @ ( inj__ty_2Enum_2Enum @ V3b ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2EBITS__ZERO5,axiom,
% 5.44/5.72 ! [V0n: tp__ty_2Enum_2Enum,V1m: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ! [V2i: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V2i ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.72 => ~ ( p @ ( ap @ ( ap @ c_2Ebit_2EBIT @ ( inj__ty_2Enum_2Enum @ V2i ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) )
% 5.44/5.72 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBITS @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) )
% 5.44/5.72 = fo__c_2Enum_2E0 ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2EBIT0__ODD,axiom,
% 5.44/5.72 ( ( ap @ c_2Ebit_2EBIT @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) )
% 5.44/5.72 = c_2Earithmetic_2EODD ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2EBITV__THM,axiom,
% 5.44/5.72 ! [V0b: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Ebit_2EBITV @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V0b ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Ebit_2ESBIT @ ( ap @ ( ap @ c_2Ebit_2EBIT @ ( inj__ty_2Enum_2Enum @ V0b ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2EADD__BIT0,axiom,
% 5.44/5.72 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( p @ ( ap @ ( ap @ c_2Ebit_2EBIT @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.44/5.72 <=> ~ ( ( p @ ( ap @ ( ap @ c_2Ebit_2EBIT @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) )
% 5.44/5.72 <=> ( p @ ( ap @ ( ap @ c_2Ebit_2EBIT @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2EADD__BITS__SUC,axiom,
% 5.44/5.72 ! [V0n: tp__ty_2Enum_2Enum,V1a: tp__ty_2Enum_2Enum,V2b: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBITS @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1a ) ) @ ( inj__ty_2Enum_2Enum @ V2b ) ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBITS @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( inj__ty_2Enum_2Enum @ V1a ) ) ) @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBITS @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( inj__ty_2Enum_2Enum @ V2b ) ) ) ) @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBITS @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBITS @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V1a ) ) ) @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBITS @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V2b ) ) ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2EADD__BIT__SUC,axiom,
% 5.44/5.72 ! [V0n: tp__ty_2Enum_2Enum,V1a: tp__ty_2Enum_2Enum,V2b: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( p @ ( ap @ ( ap @ c_2Ebit_2EBIT @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1a ) ) @ ( inj__ty_2Enum_2Enum @ V2b ) ) ) )
% 5.44/5.72 <=> ( p @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ bool ) @ ( ap @ ( ap @ c_2Ebit_2EBIT @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBITS @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V1a ) ) ) @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBITS @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V2b ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ bool ) @ ( ap @ ( ap @ c_2Ebit_2EBIT @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( inj__ty_2Enum_2Enum @ V1a ) ) ) @ ( ap @ ( ap @ c_2Ebit_2EBIT @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( inj__ty_2Enum_2Enum @ V2b ) ) ) ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ bool ) @ ( ap @ ( ap @ c_2Ebit_2EBIT @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( inj__ty_2Enum_2Enum @ V1a ) ) ) @ ( ap @ ( ap @ c_2Ebit_2EBIT @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( inj__ty_2Enum_2Enum @ V2b ) ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2EBITWISE__LT__2EXP,axiom,
% 5.44/5.72 ! [V0n: tp__ty_2Enum_2Enum,V1op: $i] :
% 5.44/5.72 ( ( mem @ V1op @ ( arr @ bool @ ( arr @ bool @ bool ) ) )
% 5.44/5.72 => ! [V2a: tp__ty_2Enum_2Enum,V3b: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBITWISE @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1op ) @ ( inj__ty_2Enum_2Enum @ V2a ) ) @ ( inj__ty_2Enum_2Enum @ V3b ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2EBITWISE__THM,axiom,
% 5.44/5.72 ! [V0x: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum,V2op: $i] :
% 5.44/5.72 ( ( mem @ V2op @ ( arr @ bool @ ( arr @ bool @ bool ) ) )
% 5.44/5.72 => ! [V3a: tp__ty_2Enum_2Enum,V4b: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.72 => ( ( p @ ( ap @ ( ap @ c_2Ebit_2EBIT @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( ap @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBITWISE @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ V2op ) @ ( inj__ty_2Enum_2Enum @ V3a ) ) @ ( inj__ty_2Enum_2Enum @ V4b ) ) ) )
% 5.44/5.72 <=> ( p @ ( ap @ ( ap @ V2op @ ( ap @ ( ap @ c_2Ebit_2EBIT @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( inj__ty_2Enum_2Enum @ V3a ) ) ) @ ( ap @ ( ap @ c_2Ebit_2EBIT @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( inj__ty_2Enum_2Enum @ V4b ) ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2EBITWISE__COR,axiom,
% 5.44/5.72 ! [V0x: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum,V2op: $i] :
% 5.44/5.72 ( ( mem @ V2op @ ( arr @ bool @ ( arr @ bool @ bool ) ) )
% 5.44/5.72 => ! [V3a: tp__ty_2Enum_2Enum,V4b: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.72 => ( ( p @ ( ap @ ( ap @ V2op @ ( ap @ ( ap @ c_2Ebit_2EBIT @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( inj__ty_2Enum_2Enum @ V3a ) ) ) @ ( ap @ ( ap @ c_2Ebit_2EBIT @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( inj__ty_2Enum_2Enum @ V4b ) ) ) )
% 5.44/5.72 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( ap @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBITWISE @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ V2op ) @ ( inj__ty_2Enum_2Enum @ V3a ) ) @ ( inj__ty_2Enum_2Enum @ V4b ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0x ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2EBITWISE__NOT__COR,axiom,
% 5.44/5.72 ! [V0x: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum,V2op: $i] :
% 5.44/5.72 ( ( mem @ V2op @ ( arr @ bool @ ( arr @ bool @ bool ) ) )
% 5.44/5.72 => ! [V3a: tp__ty_2Enum_2Enum,V4b: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.72 => ( ~ ( p @ ( ap @ ( ap @ V2op @ ( ap @ ( ap @ c_2Ebit_2EBIT @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( inj__ty_2Enum_2Enum @ V3a ) ) ) @ ( ap @ ( ap @ c_2Ebit_2EBIT @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( inj__ty_2Enum_2Enum @ V4b ) ) ) )
% 5.44/5.72 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( ap @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBITWISE @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ V2op ) @ ( inj__ty_2Enum_2Enum @ V3a ) ) @ ( inj__ty_2Enum_2Enum @ V4b ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0x ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.44/5.72 = fo__c_2Enum_2E0 ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2EBITWISE__BITS,axiom,
% 5.44/5.72 ! [V0wl: tp__ty_2Enum_2Enum,V1op: $i] :
% 5.44/5.72 ( ( mem @ V1op @ ( arr @ bool @ ( arr @ bool @ bool ) ) )
% 5.44/5.72 => ! [V2a: tp__ty_2Enum_2Enum,V3b: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBITWISE @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0wl ) ) ) @ V1op ) @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBITS @ ( inj__ty_2Enum_2Enum @ V0wl ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V2a ) ) ) @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBITS @ ( inj__ty_2Enum_2Enum @ V0wl ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V3b ) ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBITWISE @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0wl ) ) ) @ V1op ) @ ( inj__ty_2Enum_2Enum @ V2a ) ) @ ( inj__ty_2Enum_2Enum @ V3b ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2ENOT__BIT__GT__TWOEXP,axiom,
% 5.44/5.72 ! [V0i: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0i ) ) ) )
% 5.44/5.72 => ~ ( p @ ( ap @ ( ap @ c_2Ebit_2EBIT @ ( inj__ty_2Enum_2Enum @ V0i ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2EBIT__IMP__GE__TWOEXP,axiom,
% 5.44/5.72 ! [V0i: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( p @ ( ap @ ( ap @ c_2Ebit_2EBIT @ ( inj__ty_2Enum_2Enum @ V0i ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.72 => ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0i ) ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2EBITWISE__ONE__COMP__LEM,axiom,
% 5.44/5.72 ! [V0n: tp__ty_2Enum_2Enum,V1a: tp__ty_2Enum_2Enum,V2b: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__ty_2Enum_2Enum
% 5.44/5.72 @ ( ap
% 5.44/5.72 @ ( ap
% 5.44/5.72 @ ( ap @ ( ap @ c_2Ebit_2EBITWISE @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.72 @ ( lam @ bool
% 5.44/5.72 @ ^ [V3x: $i] :
% 5.44/5.72 ( lam @ bool
% 5.44/5.72 @ ^ [V4y: $i] : ( ap @ c_2Ebool_2E_7E @ V3x ) ) ) )
% 5.44/5.72 @ ( inj__ty_2Enum_2Enum @ V1a ) )
% 5.44/5.72 @ ( inj__ty_2Enum_2Enum @ V2b ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBITS @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V1a ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2EBIT__COMPLEMENT,axiom,
% 5.44/5.72 ! [V0n: tp__ty_2Enum_2Enum,V1i: tp__ty_2Enum_2Enum,V2a: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( p @ ( ap @ ( ap @ c_2Ebit_2EBIT @ ( inj__ty_2Enum_2Enum @ V1i ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V2a ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) )
% 5.44/5.72 <=> ( ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V2a ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) )
% 5.44/5.72 = fo__c_2Enum_2E0 )
% 5.44/5.72 & ( V1i = V0n ) )
% 5.44/5.72 | ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V2a ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) )
% 5.44/5.72 != fo__c_2Enum_2E0 )
% 5.44/5.72 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1i ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.72 & ~ ( p @ ( ap @ ( ap @ c_2Ebit_2EBIT @ ( inj__ty_2Enum_2Enum @ V1i ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V2a ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2EBIT__OF__BITS__THM,axiom,
% 5.44/5.72 ! [V0n: tp__ty_2Enum_2Enum,V1h: tp__ty_2Enum_2Enum,V2l: tp__ty_2Enum_2Enum,V3a: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V2l ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( inj__ty_2Enum_2Enum @ V1h ) ) )
% 5.44/5.72 => ( ( p @ ( ap @ ( ap @ c_2Ebit_2EBIT @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBITS @ ( inj__ty_2Enum_2Enum @ V1h ) ) @ ( inj__ty_2Enum_2Enum @ V2l ) ) @ ( inj__ty_2Enum_2Enum @ V3a ) ) ) )
% 5.44/5.72 <=> ( p @ ( ap @ ( ap @ c_2Ebit_2EBIT @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V2l ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( inj__ty_2Enum_2Enum @ V3a ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2EBIT__SHIFT__THM,axiom,
% 5.44/5.72 ! [V0n: tp__ty_2Enum_2Enum,V1a: tp__ty_2Enum_2Enum,V2s: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( p @ ( ap @ ( ap @ c_2Ebit_2EBIT @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V2s ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V1a ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V2s ) ) ) ) )
% 5.44/5.72 <=> ( p @ ( ap @ ( ap @ c_2Ebit_2EBIT @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1a ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2EBIT__SHIFT__THM2,axiom,
% 5.44/5.72 ! [V0n: tp__ty_2Enum_2Enum,V1a: tp__ty_2Enum_2Enum,V2s: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V2s ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.72 => ( ( p @ ( ap @ ( ap @ c_2Ebit_2EBIT @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V1a ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V2s ) ) ) ) )
% 5.44/5.72 <=> ( p @ ( ap @ ( ap @ c_2Ebit_2EBIT @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V2s ) ) ) @ ( inj__ty_2Enum_2Enum @ V1a ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2EBIT__SHIFT__THM3,axiom,
% 5.44/5.72 ! [V0n: tp__ty_2Enum_2Enum,V1a: tp__ty_2Enum_2Enum,V2s: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V2s ) ) )
% 5.44/5.72 => ~ ( p @ ( ap @ ( ap @ c_2Ebit_2EBIT @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V1a ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V2s ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2EBIT__OF__BITS__THM2,axiom,
% 5.44/5.72 ! [V0h: tp__ty_2Enum_2Enum,V1l: tp__ty_2Enum_2Enum,V2x: tp__ty_2Enum_2Enum,V3n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0h ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1l ) ) @ ( inj__ty_2Enum_2Enum @ V2x ) ) ) )
% 5.44/5.72 => ~ ( p @ ( ap @ ( ap @ c_2Ebit_2EBIT @ ( inj__ty_2Enum_2Enum @ V2x ) ) @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBITS @ ( inj__ty_2Enum_2Enum @ V0h ) ) @ ( inj__ty_2Enum_2Enum @ V1l ) ) @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2EBIT__DIV2,axiom,
% 5.44/5.72 ! [V0n: tp__ty_2Enum_2Enum,V1i: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( p @ ( ap @ ( ap @ c_2Ebit_2EBIT @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( inj__ty_2Enum_2Enum @ V1i ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.44/5.72 <=> ( p @ ( ap @ ( ap @ c_2Ebit_2EBIT @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( inj__ty_2Enum_2Enum @ V1i ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2EBIT__SHIFT__THM4,axiom,
% 5.44/5.72 ! [V0n: tp__ty_2Enum_2Enum,V1i: tp__ty_2Enum_2Enum,V2a: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( p @ ( ap @ ( ap @ c_2Ebit_2EBIT @ ( inj__ty_2Enum_2Enum @ V1i ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( inj__ty_2Enum_2Enum @ V2a ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) )
% 5.44/5.72 <=> ( p @ ( ap @ ( ap @ c_2Ebit_2EBIT @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1i ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( inj__ty_2Enum_2Enum @ V2a ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2EDIV__LT,axiom,
% 5.44/5.72 ! [V0n: tp__ty_2Enum_2Enum,V1m: tp__ty_2Enum_2Enum,V2a: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) )
% 5.44/5.72 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V2a ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) ) )
% 5.44/5.72 => ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( inj__ty_2Enum_2Enum @ V2a ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2EMOD__ZERO__GT,axiom,
% 5.44/5.72 ! [V0n: tp__ty_2Enum_2Enum,V1a: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( ( V1a != fo__c_2Enum_2E0 )
% 5.44/5.72 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V1a ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) )
% 5.44/5.72 = fo__c_2Enum_2E0 ) )
% 5.44/5.72 => ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( inj__ty_2Enum_2Enum @ V1a ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2EDIV__GT0,axiom,
% 5.44/5.72 ! [V0a: tp__ty_2Enum_2Enum,V1b: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1b ) ) @ ( inj__ty_2Enum_2Enum @ V0a ) ) )
% 5.44/5.72 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) ) )
% 5.44/5.72 => ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2EDIV__SUB1,axiom,
% 5.44/5.72 ! [V0a: tp__ty_2Enum_2Enum,V1b: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) ) @ ( inj__ty_2Enum_2Enum @ V0a ) ) )
% 5.44/5.72 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) ) )
% 5.44/5.72 = fo__c_2Enum_2E0 ) )
% 5.44/5.72 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2EBIT__EXP__SUB1,axiom,
% 5.44/5.72 ! [V0b: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( p @ ( ap @ ( ap @ c_2Ebit_2EBIT @ ( inj__ty_2Enum_2Enum @ V0b ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.44/5.72 <=> ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0b ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2EBIT__SHIFT__THM5,axiom,
% 5.44/5.72 ! [V0n: tp__ty_2Enum_2Enum,V1m: tp__ty_2Enum_2Enum,V2i: tp__ty_2Enum_2Enum,V3a: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V2i ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) )
% 5.44/5.72 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V3a ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) ) )
% 5.44/5.72 => ( ( p @ ( ap @ ( ap @ c_2Ebit_2EBIT @ ( inj__ty_2Enum_2Enum @ V2i ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( inj__ty_2Enum_2Enum @ V3a ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V3a ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) ) ) )
% 5.44/5.72 <=> ( p @ ( ap @ ( ap @ c_2Ebit_2EBIT @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V2i ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V3a ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2ESBIT__MULT,axiom,
% 5.44/5.72 ! [V0b: $i] :
% 5.44/5.72 ( ( mem @ V0b @ bool )
% 5.44/5.72 => ! [V1m: tp__ty_2Enum_2Enum,V2n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ ( ap @ c_2Ebit_2ESBIT @ V0b ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Ebit_2ESBIT @ V0b ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2EBITWISE__EVAL,axiom,
% 5.44/5.72 ! [V0n: tp__ty_2Enum_2Enum,V1op: $i] :
% 5.44/5.72 ( ( mem @ V1op @ ( arr @ bool @ ( arr @ bool @ bool ) ) )
% 5.44/5.72 => ! [V2a: tp__ty_2Enum_2Enum,V3b: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBITWISE @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ V1op ) @ ( inj__ty_2Enum_2Enum @ V2a ) ) @ ( inj__ty_2Enum_2Enum @ V3b ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBITWISE @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1op ) @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( inj__ty_2Enum_2Enum @ V2a ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( inj__ty_2Enum_2Enum @ V3b ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( ap @ ( ap @ c_2Ebit_2ESBIT @ ( ap @ ( ap @ V1op @ ( ap @ c_2Earithmetic_2EODD @ ( inj__ty_2Enum_2Enum @ V2a ) ) ) @ ( ap @ c_2Earithmetic_2EODD @ ( inj__ty_2Enum_2Enum @ V3b ) ) ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2EMOD__PLUS__RIGHT,axiom,
% 5.44/5.72 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.72 => ! [V1j: tp__ty_2Enum_2Enum,V2k: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1j ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V2k ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1j ) ) @ ( inj__ty_2Enum_2Enum @ V2k ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2EMOD__PLUS__LEFT,axiom,
% 5.44/5.72 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.72 => ! [V1j: tp__ty_2Enum_2Enum,V2k: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V2k ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( inj__ty_2Enum_2Enum @ V1j ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V2k ) ) @ ( inj__ty_2Enum_2Enum @ V1j ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2EMOD__PLUS__1,axiom,
% 5.44/5.72 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.72 => ! [V1x: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.72 = fo__c_2Enum_2E0 )
% 5.44/5.72 <=> ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.44/5.72 = V0n ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2EMOD__ADD__1,axiom,
% 5.44/5.72 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.72 => ! [V1x: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.72 != fo__c_2Enum_2E0 )
% 5.44/5.72 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.72 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2EBIT__REVERSE__THM,axiom,
% 5.44/5.72 ! [V0x: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum,V2a: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.72 => ( ( p @ ( ap @ ( ap @ c_2Ebit_2EBIT @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( ap @ ( ap @ c_2Ebit_2EBIT__REVERSE @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V2a ) ) ) )
% 5.44/5.72 <=> ( p @ ( ap @ ( ap @ c_2Ebit_2EBIT @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0x ) ) ) @ ( inj__ty_2Enum_2Enum @ V2a ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2ELOG2__LE__MONO,axiom,
% 5.44/5.72 ! [V0x: tp__ty_2Enum_2Enum,V1y: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0x ) ) )
% 5.44/5.72 => ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( inj__ty_2Enum_2Enum @ V1y ) ) )
% 5.44/5.72 => ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Ebit_2ELOG2 @ ( inj__ty_2Enum_2Enum @ V0x ) ) ) @ ( ap @ c_2Ebit_2ELOG2 @ ( inj__ty_2Enum_2Enum @ V1y ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2ETWOEXP__LE__IMP__LE__LOG2,axiom,
% 5.44/5.72 ( ! [V0x: tp__ty_2Enum_2Enum,V1y: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0x ) ) ) @ ( inj__ty_2Enum_2Enum @ V1y ) ) )
% 5.44/5.72 => ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( ap @ c_2Ebit_2ELOG2 @ ( inj__ty_2Enum_2Enum @ V1y ) ) ) ) )
% 5.44/5.72 & ! [V2y: tp__ty_2Enum_2Enum,V3x: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V3x ) ) )
% 5.44/5.72 => ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V3x ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V2y ) ) ) )
% 5.44/5.72 => ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Ebit_2ELOG2 @ ( inj__ty_2Enum_2Enum @ V3x ) ) ) @ ( inj__ty_2Enum_2Enum @ V2y ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2ENOT__BIT__GT__LOG2,axiom,
% 5.44/5.72 ! [V0i: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Ebit_2ELOG2 @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ ( inj__ty_2Enum_2Enum @ V0i ) ) )
% 5.44/5.72 => ~ ( p @ ( ap @ ( ap @ c_2Ebit_2EBIT @ ( inj__ty_2Enum_2Enum @ V0i ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2ENOT__BIT__GT__BITWISE,axiom,
% 5.44/5.72 ! [V0i: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum,V2op: $i] :
% 5.44/5.72 ( ( mem @ V2op @ ( arr @ bool @ ( arr @ bool @ bool ) ) )
% 5.44/5.72 => ! [V3a: tp__ty_2Enum_2Enum,V4b: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V0i ) ) )
% 5.44/5.72 => ~ ( p @ ( ap @ ( ap @ c_2Ebit_2EBIT @ ( inj__ty_2Enum_2Enum @ V0i ) ) @ ( ap @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBITWISE @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ V2op ) @ ( inj__ty_2Enum_2Enum @ V3a ) ) @ ( inj__ty_2Enum_2Enum @ V4b ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2ELT__TWOEXP,axiom,
% 5.44/5.72 ! [V0x: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.44/5.72 <=> ( ( V0x = fo__c_2Enum_2E0 )
% 5.44/5.72 | ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Ebit_2ELOG2 @ ( inj__ty_2Enum_2Enum @ V0x ) ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2EBIT__MODIFY__THM,axiom,
% 5.44/5.72 ! [V0x: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum,V2f: $i] :
% 5.44/5.72 ( ( mem @ V2f @ ( arr @ ty_2Enum_2Enum @ ( arr @ bool @ bool ) ) )
% 5.44/5.72 => ! [V3a: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.72 => ( ( p @ ( ap @ ( ap @ c_2Ebit_2EBIT @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBIT__MODIFY @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ V2f ) @ ( inj__ty_2Enum_2Enum @ V3a ) ) ) )
% 5.44/5.72 <=> ( p @ ( ap @ ( ap @ V2f @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( ap @ ( ap @ c_2Ebit_2EBIT @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( inj__ty_2Enum_2Enum @ V3a ) ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2EBIT__SIGN__EXTEND,axiom,
% 5.44/5.72 ! [V0l: tp__ty_2Enum_2Enum,V1h: tp__ty_2Enum_2Enum,V2n: tp__ty_2Enum_2Enum,V3i: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( V0l != fo__c_2Enum_2E0 )
% 5.44/5.72 => ( ( p @ ( ap @ ( ap @ c_2Ebit_2EBIT @ ( inj__ty_2Enum_2Enum @ V3i ) ) @ ( ap @ ( ap @ ( ap @ c_2Ebit_2ESIGN__EXTEND @ ( inj__ty_2Enum_2Enum @ V0l ) ) @ ( inj__ty_2Enum_2Enum @ V1h ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) )
% 5.44/5.72 <=> ( p @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ bool ) @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0l ) ) @ ( inj__ty_2Enum_2Enum @ V1h ) ) ) @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V3i ) ) @ ( inj__ty_2Enum_2Enum @ V0l ) ) ) ) @ ( ap @ ( ap @ c_2Ebit_2EBIT @ ( inj__ty_2Enum_2Enum @ V3i ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0l ) ) ) ) ) @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V3i ) ) @ ( inj__ty_2Enum_2Enum @ V1h ) ) ) @ ( ap @ ( ap @ c_2Ebit_2EBIT @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2EBIT__LOG2,axiom,
% 5.44/5.72 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( V0n != fo__c_2Enum_2E0 )
% 5.44/5.72 => ( p @ ( ap @ ( ap @ c_2Ebit_2EBIT @ ( ap @ c_2Ebit_2ELOG2 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2EEXISTS__BIT__IN__RANGE,axiom,
% 5.44/5.72 ! [V0a: tp__ty_2Enum_2Enum,V1b: tp__ty_2Enum_2Enum,V2n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( ( V2n != fo__c_2Enum_2E0 )
% 5.44/5.72 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0a ) ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) )
% 5.44/5.72 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) ) ) )
% 5.44/5.72 => ? [V3i: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( inj__ty_2Enum_2Enum @ V3i ) ) )
% 5.44/5.72 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V3i ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) )
% 5.44/5.72 & ( p @ ( ap @ ( ap @ c_2Ebit_2EBIT @ ( inj__ty_2Enum_2Enum @ V3i ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2EEXISTS__BIT__LT,axiom,
% 5.44/5.72 ! [V0b: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( ( V1n != fo__c_2Enum_2E0 )
% 5.44/5.72 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0b ) ) ) ) )
% 5.44/5.72 => ? [V2i: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V2i ) ) @ ( inj__ty_2Enum_2Enum @ V0b ) ) )
% 5.44/5.72 & ( p @ ( ap @ ( ap @ c_2Ebit_2EBIT @ ( inj__ty_2Enum_2Enum @ V2i ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Ebit_2ELEAST__THM,axiom,
% 5.44/5.72 ! [V0n: tp__ty_2Enum_2Enum,V1P: $i] :
% 5.44/5.72 ( ( mem @ V1P @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.44/5.72 => ( ( ! [V2m: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V2m ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.72 => ~ ( p @ ( ap @ V1P @ ( inj__ty_2Enum_2Enum @ V2m ) ) ) )
% 5.44/5.72 & ( p @ ( ap @ V1P @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) )
% 5.44/5.72 => ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Ewhile_2ELEAST @ V1P ) )
% 5.44/5.72 = V0n ) ) ) ).
% 5.44/5.72
% 5.44/5.72 %------------------------------------------------------------------------------
% 5.44/5.72 %------------------------------------------------------------------------------
% 5.44/5.72 thf(tp_c_2Epred__set_2EBIGINTER,type,
% 5.44/5.72 c_2Epred__set_2EBIGINTER: del > $i ).
% 5.44/5.72
% 5.44/5.72 thf(mem_c_2Epred__set_2EBIGINTER,axiom,
% 5.44/5.72 ! [A_27a: del] : ( mem @ ( c_2Epred__set_2EBIGINTER @ A_27a ) @ ( arr @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) @ ( arr @ A_27a @ bool ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(tp_c_2Epred__set_2EBIGUNION,type,
% 5.44/5.72 c_2Epred__set_2EBIGUNION: del > $i ).
% 5.44/5.72
% 5.44/5.72 thf(mem_c_2Epred__set_2EBIGUNION,axiom,
% 5.44/5.72 ! [A_27a: del] : ( mem @ ( c_2Epred__set_2EBIGUNION @ A_27a ) @ ( arr @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) @ ( arr @ A_27a @ bool ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(tp_c_2Epred__set_2EBIJ,type,
% 5.44/5.72 c_2Epred__set_2EBIJ: del > del > $i ).
% 5.44/5.72
% 5.44/5.72 thf(mem_c_2Epred__set_2EBIJ,axiom,
% 5.44/5.72 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Epred__set_2EBIJ @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( arr @ A_27b @ bool ) @ bool ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(tp_c_2Epred__set_2ECARD,type,
% 5.44/5.72 c_2Epred__set_2ECARD: del > $i ).
% 5.44/5.72
% 5.44/5.72 thf(mem_c_2Epred__set_2ECARD,axiom,
% 5.44/5.72 ! [A_27a: del] : ( mem @ ( c_2Epred__set_2ECARD @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ ty_2Enum_2Enum ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(tp_c_2Epred__set_2ECHOICE,type,
% 5.44/5.72 c_2Epred__set_2ECHOICE: del > $i ).
% 5.44/5.72
% 5.44/5.72 thf(mem_c_2Epred__set_2ECHOICE,axiom,
% 5.44/5.72 ! [A_27a: del] : ( mem @ ( c_2Epred__set_2ECHOICE @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ A_27a ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(tp_c_2Epred__set_2ECOMPL,type,
% 5.44/5.72 c_2Epred__set_2ECOMPL: del > $i ).
% 5.44/5.72
% 5.44/5.72 thf(mem_c_2Epred__set_2ECOMPL,axiom,
% 5.44/5.72 ! [A_27a: del] : ( mem @ ( c_2Epred__set_2ECOMPL @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ bool ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(tp_c_2Epred__set_2ECROSS,type,
% 5.44/5.72 c_2Epred__set_2ECROSS: del > del > $i ).
% 5.44/5.72
% 5.44/5.72 thf(mem_c_2Epred__set_2ECROSS,axiom,
% 5.44/5.72 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Epred__set_2ECROSS @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( arr @ A_27b @ bool ) @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ bool ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(tp_c_2Epred__set_2EDELETE,type,
% 5.44/5.72 c_2Epred__set_2EDELETE: del > $i ).
% 5.44/5.72
% 5.44/5.72 thf(mem_c_2Epred__set_2EDELETE,axiom,
% 5.44/5.72 ! [A_27a: del] : ( mem @ ( c_2Epred__set_2EDELETE @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(tp_c_2Epred__set_2EDFUNSET,type,
% 5.44/5.72 c_2Epred__set_2EDFUNSET: del > del > $i ).
% 5.44/5.72
% 5.44/5.72 thf(mem_c_2Epred__set_2EDFUNSET,axiom,
% 5.44/5.72 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Epred__set_2EDFUNSET @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) @ ( arr @ ( arr @ A_27a @ A_27b ) @ bool ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(tp_c_2Epred__set_2EDIFF,type,
% 5.44/5.72 c_2Epred__set_2EDIFF: del > $i ).
% 5.44/5.72
% 5.44/5.72 thf(mem_c_2Epred__set_2EDIFF,axiom,
% 5.44/5.72 ! [A_27a: del] : ( mem @ ( c_2Epred__set_2EDIFF @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ bool ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(tp_c_2Epred__set_2EDISJOINT,type,
% 5.44/5.72 c_2Epred__set_2EDISJOINT: del > $i ).
% 5.44/5.72
% 5.44/5.72 thf(mem_c_2Epred__set_2EDISJOINT,axiom,
% 5.44/5.72 ! [A_27a: del] : ( mem @ ( c_2Epred__set_2EDISJOINT @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(tp_c_2Epred__set_2EEMPTY,type,
% 5.44/5.72 c_2Epred__set_2EEMPTY: del > $i ).
% 5.44/5.72
% 5.44/5.72 thf(mem_c_2Epred__set_2EEMPTY,axiom,
% 5.44/5.72 ! [A_27a: del] : ( mem @ ( c_2Epred__set_2EEMPTY @ A_27a ) @ ( arr @ A_27a @ bool ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(tp_c_2Epred__set_2EFINITE,type,
% 5.44/5.72 c_2Epred__set_2EFINITE: del > $i ).
% 5.44/5.72
% 5.44/5.72 thf(mem_c_2Epred__set_2EFINITE,axiom,
% 5.44/5.72 ! [A_27a: del] : ( mem @ ( c_2Epred__set_2EFINITE @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(tp_c_2Epred__set_2EFUNSET,type,
% 5.44/5.72 c_2Epred__set_2EFUNSET: del > del > $i ).
% 5.44/5.72
% 5.44/5.72 thf(mem_c_2Epred__set_2EFUNSET,axiom,
% 5.44/5.72 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Epred__set_2EFUNSET @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( arr @ A_27b @ bool ) @ ( arr @ ( arr @ A_27a @ A_27b ) @ bool ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(tp_c_2Epred__set_2EGSPEC,type,
% 5.44/5.72 c_2Epred__set_2EGSPEC: del > del > $i ).
% 5.44/5.72
% 5.44/5.72 thf(mem_c_2Epred__set_2EGSPEC,axiom,
% 5.44/5.72 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Epred__set_2EGSPEC @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27b @ ( ty_2Epair_2Eprod @ A_27a @ bool ) ) @ ( arr @ A_27a @ bool ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(tp_c_2Epred__set_2EIMAGE,type,
% 5.44/5.72 c_2Epred__set_2EIMAGE: del > del > $i ).
% 5.44/5.72
% 5.44/5.72 thf(mem_c_2Epred__set_2EIMAGE,axiom,
% 5.44/5.72 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Epred__set_2EIMAGE @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ A_27b @ bool ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(tp_c_2Epred__set_2EINJ,type,
% 5.44/5.72 c_2Epred__set_2EINJ: del > del > $i ).
% 5.44/5.72
% 5.44/5.72 thf(mem_c_2Epred__set_2EINJ,axiom,
% 5.44/5.72 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Epred__set_2EINJ @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( arr @ A_27b @ bool ) @ bool ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(tp_c_2Epred__set_2EINSERT,type,
% 5.44/5.72 c_2Epred__set_2EINSERT: del > $i ).
% 5.44/5.72
% 5.44/5.72 thf(mem_c_2Epred__set_2EINSERT,axiom,
% 5.44/5.72 ! [A_27a: del] : ( mem @ ( c_2Epred__set_2EINSERT @ A_27a ) @ ( arr @ A_27a @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ bool ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(tp_c_2Epred__set_2EINTER,type,
% 5.44/5.72 c_2Epred__set_2EINTER: del > $i ).
% 5.44/5.72
% 5.44/5.72 thf(mem_c_2Epred__set_2EINTER,axiom,
% 5.44/5.72 ! [A_27a: del] : ( mem @ ( c_2Epred__set_2EINTER @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ bool ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(tp_c_2Epred__set_2EITSET,type,
% 5.44/5.72 c_2Epred__set_2EITSET: del > del > $i ).
% 5.44/5.72
% 5.44/5.72 thf(mem_c_2Epred__set_2EITSET,axiom,
% 5.44/5.72 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Epred__set_2EITSET @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27b @ A_27b ) ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ A_27b @ A_27b ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(tp_c_2Epred__set_2ELINV,type,
% 5.44/5.72 c_2Epred__set_2ELINV: del > del > $i ).
% 5.44/5.72
% 5.44/5.72 thf(mem_c_2Epred__set_2ELINV,axiom,
% 5.44/5.72 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Epred__set_2ELINV @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ A_27b @ A_27a ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(tp_c_2Epred__set_2ELINV__OPT,type,
% 5.44/5.72 c_2Epred__set_2ELINV__OPT: del > del > $i ).
% 5.44/5.72
% 5.44/5.72 thf(mem_c_2Epred__set_2ELINV__OPT,axiom,
% 5.44/5.72 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Epred__set_2ELINV__OPT @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27a ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(tp_c_2Epred__set_2EMAX__SET,type,
% 5.44/5.72 c_2Epred__set_2EMAX__SET: $i ).
% 5.44/5.72
% 5.44/5.72 thf(mem_c_2Epred__set_2EMAX__SET,axiom,
% 5.44/5.72 mem @ c_2Epred__set_2EMAX__SET @ ( arr @ ( arr @ ty_2Enum_2Enum @ bool ) @ ty_2Enum_2Enum ) ).
% 5.44/5.72
% 5.44/5.72 thf(tp_c_2Epred__set_2EMIN__SET,type,
% 5.44/5.72 c_2Epred__set_2EMIN__SET: $i ).
% 5.44/5.72
% 5.44/5.72 thf(mem_c_2Epred__set_2EMIN__SET,axiom,
% 5.44/5.72 mem @ c_2Epred__set_2EMIN__SET @ ( arr @ ( arr @ ty_2Enum_2Enum @ bool ) @ ty_2Enum_2Enum ) ).
% 5.44/5.72
% 5.44/5.72 thf(tp_c_2Epred__set_2EPOW,type,
% 5.44/5.72 c_2Epred__set_2EPOW: del > $i ).
% 5.44/5.72
% 5.44/5.72 thf(mem_c_2Epred__set_2EPOW,axiom,
% 5.44/5.72 ! [A_27a: del] : ( mem @ ( c_2Epred__set_2EPOW @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(tp_c_2Epred__set_2EPREIMAGE,type,
% 5.44/5.72 c_2Epred__set_2EPREIMAGE: del > del > $i ).
% 5.44/5.72
% 5.44/5.72 thf(mem_c_2Epred__set_2EPREIMAGE,axiom,
% 5.44/5.72 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Epred__set_2EPREIMAGE @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27b @ bool ) @ ( arr @ A_27a @ bool ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(tp_c_2Epred__set_2EPROD__IMAGE,type,
% 5.44/5.72 c_2Epred__set_2EPROD__IMAGE: del > $i ).
% 5.44/5.72
% 5.44/5.72 thf(mem_c_2Epred__set_2EPROD__IMAGE,axiom,
% 5.44/5.72 ! [A_27a: del] : ( mem @ ( c_2Epred__set_2EPROD__IMAGE @ A_27a ) @ ( arr @ ( arr @ A_27a @ ty_2Enum_2Enum ) @ ( arr @ ( arr @ A_27a @ bool ) @ ty_2Enum_2Enum ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(tp_c_2Epred__set_2EPROD__SET,type,
% 5.44/5.72 c_2Epred__set_2EPROD__SET: $i ).
% 5.44/5.72
% 5.44/5.72 thf(mem_c_2Epred__set_2EPROD__SET,axiom,
% 5.44/5.72 mem @ c_2Epred__set_2EPROD__SET @ ( arr @ ( arr @ ty_2Enum_2Enum @ bool ) @ ty_2Enum_2Enum ) ).
% 5.44/5.72
% 5.44/5.72 thf(tp_c_2Epred__set_2EPSUBSET,type,
% 5.44/5.72 c_2Epred__set_2EPSUBSET: del > $i ).
% 5.44/5.72
% 5.44/5.72 thf(mem_c_2Epred__set_2EPSUBSET,axiom,
% 5.44/5.72 ! [A_27a: del] : ( mem @ ( c_2Epred__set_2EPSUBSET @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(tp_c_2Epred__set_2EREL__RESTRICT,type,
% 5.44/5.72 c_2Epred__set_2EREL__RESTRICT: del > $i ).
% 5.44/5.72
% 5.44/5.72 thf(mem_c_2Epred__set_2EREL__RESTRICT,axiom,
% 5.44/5.72 ! [A_27a: del] : ( mem @ ( c_2Epred__set_2EREL__RESTRICT @ A_27a ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(tp_c_2Epred__set_2EREST,type,
% 5.44/5.72 c_2Epred__set_2EREST: del > $i ).
% 5.44/5.72
% 5.44/5.72 thf(mem_c_2Epred__set_2EREST,axiom,
% 5.44/5.72 ! [A_27a: del] : ( mem @ ( c_2Epred__set_2EREST @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ bool ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(tp_c_2Epred__set_2ERINV,type,
% 5.44/5.72 c_2Epred__set_2ERINV: del > del > $i ).
% 5.44/5.72
% 5.44/5.72 thf(mem_c_2Epred__set_2ERINV,axiom,
% 5.44/5.72 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Epred__set_2ERINV @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ A_27b @ A_27a ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(tp_c_2Epred__set_2ESING,type,
% 5.44/5.72 c_2Epred__set_2ESING: del > $i ).
% 5.44/5.72
% 5.44/5.72 thf(mem_c_2Epred__set_2ESING,axiom,
% 5.44/5.72 ! [A_27a: del] : ( mem @ ( c_2Epred__set_2ESING @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(tp_c_2Epred__set_2ESUBSET,type,
% 5.44/5.72 c_2Epred__set_2ESUBSET: del > $i ).
% 5.44/5.72
% 5.44/5.72 thf(mem_c_2Epred__set_2ESUBSET,axiom,
% 5.44/5.72 ! [A_27a: del] : ( mem @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(tp_c_2Epred__set_2ESUM__IMAGE,type,
% 5.44/5.72 c_2Epred__set_2ESUM__IMAGE: del > $i ).
% 5.44/5.72
% 5.44/5.72 thf(mem_c_2Epred__set_2ESUM__IMAGE,axiom,
% 5.44/5.72 ! [A_27a: del] : ( mem @ ( c_2Epred__set_2ESUM__IMAGE @ A_27a ) @ ( arr @ ( arr @ A_27a @ ty_2Enum_2Enum ) @ ( arr @ ( arr @ A_27a @ bool ) @ ty_2Enum_2Enum ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(tp_c_2Epred__set_2ESUM__SET,type,
% 5.44/5.72 c_2Epred__set_2ESUM__SET: $i ).
% 5.44/5.72
% 5.44/5.72 thf(mem_c_2Epred__set_2ESUM__SET,axiom,
% 5.44/5.72 mem @ c_2Epred__set_2ESUM__SET @ ( arr @ ( arr @ ty_2Enum_2Enum @ bool ) @ ty_2Enum_2Enum ) ).
% 5.44/5.72
% 5.44/5.72 thf(tp_c_2Epred__set_2ESURJ,type,
% 5.44/5.72 c_2Epred__set_2ESURJ: del > del > $i ).
% 5.44/5.72
% 5.44/5.72 thf(mem_c_2Epred__set_2ESURJ,axiom,
% 5.44/5.72 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Epred__set_2ESURJ @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( arr @ A_27b @ bool ) @ bool ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(tp_c_2Epred__set_2EUNION,type,
% 5.44/5.72 c_2Epred__set_2EUNION: del > $i ).
% 5.44/5.72
% 5.44/5.72 thf(mem_c_2Epred__set_2EUNION,axiom,
% 5.44/5.72 ! [A_27a: del] : ( mem @ ( c_2Epred__set_2EUNION @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ bool ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(tp_c_2Epred__set_2EUNIV,type,
% 5.44/5.72 c_2Epred__set_2EUNIV: del > $i ).
% 5.44/5.72
% 5.44/5.72 thf(mem_c_2Epred__set_2EUNIV,axiom,
% 5.44/5.72 ! [A_27a: del] : ( mem @ ( c_2Epred__set_2EUNIV @ A_27a ) @ ( arr @ A_27a @ bool ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(tp_c_2Epred__set_2Echooser,type,
% 5.44/5.72 c_2Epred__set_2Echooser: del > $i ).
% 5.44/5.72
% 5.44/5.72 thf(mem_c_2Epred__set_2Echooser,axiom,
% 5.44/5.72 ! [A_27a: del] : ( mem @ ( c_2Epred__set_2Echooser @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ty_2Enum_2Enum @ A_27a ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(tp_c_2Epred__set_2Ecount,type,
% 5.44/5.72 c_2Epred__set_2Ecount: $i ).
% 5.44/5.72
% 5.44/5.72 thf(mem_c_2Epred__set_2Ecount,axiom,
% 5.44/5.72 mem @ c_2Epred__set_2Ecount @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ bool ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(tp_c_2Epred__set_2Ecountable,type,
% 5.44/5.72 c_2Epred__set_2Ecountable: del > $i ).
% 5.44/5.72
% 5.44/5.72 thf(mem_c_2Epred__set_2Ecountable,axiom,
% 5.44/5.72 ! [A_27a: del] : ( mem @ ( c_2Epred__set_2Ecountable @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(tp_c_2Epred__set_2Eenumerate,type,
% 5.44/5.72 c_2Epred__set_2Eenumerate: del > $i ).
% 5.44/5.72
% 5.44/5.72 thf(mem_c_2Epred__set_2Eenumerate,axiom,
% 5.44/5.72 ! [A_27a: del] : ( mem @ ( c_2Epred__set_2Eenumerate @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ty_2Enum_2Enum @ A_27a ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(tp_c_2Epred__set_2Eequiv__on,type,
% 5.44/5.72 c_2Epred__set_2Eequiv__on: del > $i ).
% 5.44/5.72
% 5.44/5.72 thf(mem_c_2Epred__set_2Eequiv__on,axiom,
% 5.44/5.72 ! [A_27a: del] : ( mem @ ( c_2Epred__set_2Eequiv__on @ A_27a ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(tp_c_2Epred__set_2Eis__measure__maximal,type,
% 5.44/5.72 c_2Epred__set_2Eis__measure__maximal: del > $i ).
% 5.44/5.72
% 5.44/5.72 thf(mem_c_2Epred__set_2Eis__measure__maximal,axiom,
% 5.44/5.72 ! [A_27a: del] : ( mem @ ( c_2Epred__set_2Eis__measure__maximal @ A_27a ) @ ( arr @ ( arr @ A_27a @ ty_2Enum_2Enum ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ bool ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(tp_c_2Epred__set_2Enum__to__pair,type,
% 5.44/5.72 c_2Epred__set_2Enum__to__pair: $i ).
% 5.44/5.72
% 5.44/5.72 thf(mem_c_2Epred__set_2Enum__to__pair,axiom,
% 5.44/5.72 mem @ c_2Epred__set_2Enum__to__pair @ ( arr @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(tp_c_2Epred__set_2Epair__to__num,type,
% 5.44/5.72 c_2Epred__set_2Epair__to__num: $i ).
% 5.44/5.72
% 5.44/5.72 thf(mem_c_2Epred__set_2Epair__to__num,axiom,
% 5.44/5.72 mem @ c_2Epred__set_2Epair__to__num @ ( arr @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ty_2Enum_2Enum ) ).
% 5.44/5.72
% 5.44/5.72 thf(stp_fo_c_2Epred__set_2Epair__to__num,type,
% 5.44/5.72 fo__c_2Epred__set_2Epair__to__num: tp__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum > tp__ty_2Enum_2Enum ).
% 5.44/5.72
% 5.44/5.72 thf(stp_eq_fo_c_2Epred__set_2Epair__to__num,axiom,
% 5.44/5.72 ! [X0: tp__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum] :
% 5.44/5.72 ( ( inj__ty_2Enum_2Enum @ ( fo__c_2Epred__set_2Epair__to__num @ X0 ) )
% 5.44/5.72 = ( ap @ c_2Epred__set_2Epair__to__num @ ( inj__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum @ X0 ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(tp_c_2Epred__set_2Epairwise,type,
% 5.44/5.72 c_2Epred__set_2Epairwise: del > $i ).
% 5.44/5.72
% 5.44/5.72 thf(mem_c_2Epred__set_2Epairwise,axiom,
% 5.44/5.72 ! [A_27a: del] : ( mem @ ( c_2Epred__set_2Epairwise @ A_27a ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(tp_c_2Epred__set_2Epartition,type,
% 5.44/5.72 c_2Epred__set_2Epartition: del > $i ).
% 5.44/5.72
% 5.44/5.72 thf(mem_c_2Epred__set_2Epartition,axiom,
% 5.44/5.72 ! [A_27a: del] : ( mem @ ( c_2Epred__set_2Epartition @ A_27a ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(tp_c_2Epred__set_2Eschroeder__close,type,
% 5.44/5.72 c_2Epred__set_2Eschroeder__close: del > $i ).
% 5.44/5.72
% 5.44/5.72 thf(mem_c_2Epred__set_2Eschroeder__close,axiom,
% 5.44/5.72 ! [A_27a: del] : ( mem @ ( c_2Epred__set_2Eschroeder__close @ A_27a ) @ ( arr @ ( arr @ A_27a @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ bool ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Epred__set_2ESPECIFICATION,axiom,
% 5.44/5.72 ! [A_27a: del,V0P: $i] :
% 5.44/5.72 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.44/5.72 => ! [V1x: $i] :
% 5.44/5.72 ( ( mem @ V1x @ A_27a )
% 5.44/5.72 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V1x ) @ V0P ) )
% 5.44/5.72 <=> ( p @ ( ap @ V0P @ V1x ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Epred__set_2EIN__APP,axiom,
% 5.44/5.72 ! [A_27a: del,V0x: $i] :
% 5.44/5.72 ( ( mem @ V0x @ A_27a )
% 5.44/5.72 => ! [V1P: $i] :
% 5.44/5.72 ( ( mem @ V1P @ ( arr @ A_27a @ bool ) )
% 5.44/5.72 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0x ) @ V1P ) )
% 5.44/5.72 <=> ( p @ ( ap @ V1P @ V0x ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Epred__set_2EIN__ABS,axiom,
% 5.44/5.72 ! [A_27a: del,V0x: $i] :
% 5.44/5.72 ( ( mem @ V0x @ A_27a )
% 5.44/5.72 => ! [V1P: $i] :
% 5.44/5.72 ( ( mem @ V1P @ ( arr @ A_27a @ bool ) )
% 5.44/5.72 => ( ( p
% 5.44/5.72 @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0x )
% 5.44/5.72 @ ( lam @ A_27a
% 5.44/5.72 @ ^ [V2x: $i] : ( ap @ V1P @ V2x ) ) ) )
% 5.44/5.72 <=> ( p @ ( ap @ V1P @ V0x ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Epred__set_2EEXTENSION,axiom,
% 5.44/5.72 ! [A_27a: del,V0s: $i] :
% 5.44/5.72 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.72 => ! [V1t: $i] :
% 5.44/5.72 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.44/5.72 => ( ( V0s = V1t )
% 5.44/5.72 <=> ! [V2x: $i] :
% 5.44/5.72 ( ( mem @ V2x @ A_27a )
% 5.44/5.72 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V0s ) )
% 5.44/5.72 <=> ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V1t ) ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Epred__set_2ENOT__EQUAL__SETS,axiom,
% 5.44/5.72 ! [A_27a: del,V0s: $i] :
% 5.44/5.72 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.72 => ! [V1t: $i] :
% 5.44/5.72 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.44/5.72 => ( ( V0s != V1t )
% 5.44/5.72 <=> ? [V2x: $i] :
% 5.44/5.72 ( ( mem @ V2x @ A_27a )
% 5.44/5.72 & ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V1t ) )
% 5.44/5.72 <=> ~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V0s ) ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Epred__set_2ENUM__SET__WOP,axiom,
% 5.44/5.72 ! [V0s: $i] :
% 5.44/5.72 ( ( mem @ V0s @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.44/5.72 => ( ? [V1n: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ V0s ) )
% 5.44/5.72 <=> ? [V2n: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ V0s ) )
% 5.44/5.72 & ! [V3m: tp__ty_2Enum_2Enum] :
% 5.44/5.72 ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V3m ) ) @ V0s ) )
% 5.44/5.72 => ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( inj__ty_2Enum_2Enum @ V3m ) ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(ax_thm_2Epred__set_2EGSPECIFICATION,axiom,
% 5.44/5.72 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.72 ( ( mem @ V0f @ ( arr @ A_27b @ ( ty_2Epair_2Eprod @ A_27a @ bool ) ) )
% 5.44/5.72 => ! [V1v: $i] :
% 5.44/5.72 ( ( mem @ V1v @ A_27a )
% 5.44/5.72 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V1v ) @ ( ap @ ( c_2Epred__set_2EGSPEC @ A_27a @ A_27b ) @ V0f ) ) )
% 5.44/5.72 <=> ? [V2x: $i] :
% 5.44/5.72 ( ( mem @ V2x @ A_27b )
% 5.44/5.72 & ( ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ bool ) @ V1v ) @ c_2Ebool_2ET )
% 5.44/5.72 = ( ap @ V0f @ V2x ) ) ) ) ) ) ).
% 5.44/5.72
% 5.44/5.72 thf(conj_thm_2Epred__set_2EGSPECIFICATION__applied,axiom,
% 5.44/5.72 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.72 ( ( mem @ V0f @ ( arr @ A_27b @ ( ty_2Epair_2Eprod @ A_27a @ bool ) ) )
% 5.44/5.72 => ! [V1v: $i] :
% 5.44/5.72 ( ( mem @ V1v @ A_27a )
% 5.44/5.72 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2EGSPEC @ A_27a @ A_27b ) @ V0f ) @ V1v ) )
% 5.44/5.72 <=> ? [V2x: $i] :
% 5.44/5.72 ( ( mem @ V2x @ A_27b )
% 5.44/5.72 & ( ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ bool ) @ V1v ) @ c_2Ebool_2ET )
% 5.44/5.72 = ( ap @ V0f @ V2x ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EGSPEC__ETA,axiom,
% 5.44/5.73 ! [A_27a: del,V0P: $i] :
% 5.44/5.73 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( ap @ ( c_2Epred__set_2EGSPEC @ A_27a @ A_27a )
% 5.44/5.73 @ ( lam @ A_27a
% 5.44/5.73 @ ^ [V1x: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ bool ) @ V1x ) @ ( ap @ V0P @ V1x ) ) ) )
% 5.44/5.73 = V0P ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EGSPEC__PAIR__ETA,axiom,
% 5.44/5.73 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.44/5.73 ( ( mem @ V0P @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.73 => ( ( ap @ ( c_2Epred__set_2EGSPEC @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) )
% 5.44/5.73 @ ( ap @ ( c_2Epair_2EUNCURRY @ A_27a @ A_27b @ ( ty_2Epair_2Eprod @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ bool ) )
% 5.44/5.73 @ ( lam @ A_27a
% 5.44/5.73 @ ^ [V1x: $i] :
% 5.44/5.73 ( lam @ A_27b
% 5.44/5.73 @ ^ [V2y: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ bool ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V1x ) @ V2y ) ) @ ( ap @ ( ap @ V0P @ V1x ) @ V2y ) ) ) ) ) )
% 5.44/5.73 = ( ap @ ( c_2Epair_2EUNCURRY @ A_27a @ A_27b @ bool ) @ V0P ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EIN__GSPEC__IFF,axiom,
% 5.44/5.73 ! [A_27a: del,V0y: $i] :
% 5.44/5.73 ( ( mem @ V0y @ A_27a )
% 5.44/5.73 => ! [V1P: $i] :
% 5.44/5.73 ( ( mem @ V1P @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( p
% 5.44/5.73 @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0y )
% 5.44/5.73 @ ( ap @ ( c_2Epred__set_2EGSPEC @ A_27a @ A_27a )
% 5.44/5.73 @ ( lam @ A_27a
% 5.44/5.73 @ ^ [V2x: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ bool ) @ V2x ) @ ( ap @ V1P @ V2x ) ) ) ) ) )
% 5.44/5.73 <=> ( p @ ( ap @ V1P @ V0y ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EPAIR__IN__GSPEC__IFF,axiom,
% 5.44/5.73 ! [A_27a: del,A_27b: del,V0x: $i] :
% 5.44/5.73 ( ( mem @ V0x @ A_27a )
% 5.44/5.73 => ! [V1y: $i] :
% 5.44/5.73 ( ( mem @ V1y @ A_27b )
% 5.44/5.73 => ! [V2P: $i] :
% 5.44/5.73 ( ( mem @ V2P @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.73 => ( ( p
% 5.44/5.73 @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V0x ) @ V1y ) )
% 5.44/5.73 @ ( ap @ ( c_2Epred__set_2EGSPEC @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) )
% 5.44/5.73 @ ( ap @ ( c_2Epair_2EUNCURRY @ A_27a @ A_27b @ ( ty_2Epair_2Eprod @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ bool ) )
% 5.44/5.73 @ ( lam @ A_27a
% 5.44/5.73 @ ^ [V3x: $i] :
% 5.44/5.73 ( lam @ A_27b
% 5.44/5.73 @ ^ [V4y: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ bool ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V3x ) @ V4y ) ) @ ( ap @ ( ap @ V2P @ V3x ) @ V4y ) ) ) ) ) ) ) )
% 5.44/5.73 <=> ( p @ ( ap @ ( ap @ V2P @ V0x ) @ V1y ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EIN__GSPEC,axiom,
% 5.44/5.73 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.73 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.73 => ! [V1y: $i] :
% 5.44/5.73 ( ( mem @ V1y @ A_27a )
% 5.44/5.73 => ! [V2x: $i] :
% 5.44/5.73 ( ( mem @ V2x @ A_27b )
% 5.44/5.73 => ! [V3P: $i] :
% 5.44/5.73 ( ( mem @ V3P @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( ( p @ ( ap @ V3P @ V1y ) )
% 5.44/5.73 & ( V2x
% 5.44/5.73 = ( ap @ V0f @ V1y ) ) )
% 5.44/5.73 => ( p
% 5.44/5.73 @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ V2x )
% 5.44/5.73 @ ( ap @ ( c_2Epred__set_2EGSPEC @ A_27b @ A_27a )
% 5.44/5.73 @ ( lam @ A_27a
% 5.44/5.73 @ ^ [V4x: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27b @ bool ) @ ( ap @ V0f @ V4x ) ) @ ( ap @ V3P @ V4x ) ) ) ) ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EPAIR__IN__GSPEC__1,axiom,
% 5.44/5.73 ! [A_27a: del,A_27b: del,V0a: $i] :
% 5.44/5.73 ( ( mem @ V0a @ A_27a )
% 5.44/5.73 => ! [V1b: $i] :
% 5.44/5.73 ( ( mem @ V1b @ A_27b )
% 5.44/5.73 => ! [V2x: $i] :
% 5.44/5.73 ( ( mem @ V2x @ A_27b )
% 5.44/5.73 => ! [V3P: $i] :
% 5.44/5.73 ( ( mem @ V3P @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( p
% 5.44/5.73 @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V0a ) @ V1b ) )
% 5.44/5.73 @ ( ap @ ( c_2Epred__set_2EGSPEC @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ A_27a )
% 5.44/5.73 @ ( lam @ A_27a
% 5.44/5.73 @ ^ [V4y: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ bool ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V4y ) @ V2x ) ) @ ( ap @ V3P @ V4y ) ) ) ) ) )
% 5.44/5.73 <=> ( ( p @ ( ap @ V3P @ V0a ) )
% 5.44/5.73 & ( V1b = V2x ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EPAIR__IN__GSPEC__2,axiom,
% 5.44/5.73 ! [A_27a: del,A_27b: del,V0a: $i] :
% 5.44/5.73 ( ( mem @ V0a @ A_27a )
% 5.44/5.73 => ! [V1b: $i] :
% 5.44/5.73 ( ( mem @ V1b @ A_27b )
% 5.44/5.73 => ! [V2x: $i] :
% 5.44/5.73 ( ( mem @ V2x @ A_27a )
% 5.44/5.73 => ! [V3P: $i] :
% 5.44/5.73 ( ( mem @ V3P @ ( arr @ A_27b @ bool ) )
% 5.44/5.73 => ( ( p
% 5.44/5.73 @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V0a ) @ V1b ) )
% 5.44/5.73 @ ( ap @ ( c_2Epred__set_2EGSPEC @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ A_27b )
% 5.44/5.73 @ ( lam @ A_27b
% 5.44/5.73 @ ^ [V4y: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ bool ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V2x ) @ V4y ) ) @ ( ap @ V3P @ V4y ) ) ) ) ) )
% 5.44/5.73 <=> ( ( p @ ( ap @ V3P @ V1b ) )
% 5.44/5.73 & ( V0a = V2x ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EPAIR__IN__GSPEC__same,axiom,
% 5.44/5.73 ! [A_27a: del,V0a: $i] :
% 5.44/5.73 ( ( mem @ V0a @ A_27a )
% 5.44/5.73 => ! [V1b: $i] :
% 5.44/5.73 ( ( mem @ V1b @ A_27a )
% 5.44/5.73 => ! [V2P: $i] :
% 5.44/5.73 ( ( mem @ V2P @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( p
% 5.44/5.73 @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V0a ) @ V1b ) )
% 5.44/5.73 @ ( ap @ ( c_2Epred__set_2EGSPEC @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ A_27a )
% 5.44/5.73 @ ( lam @ A_27a
% 5.44/5.73 @ ^ [V3x: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V3x ) @ V3x ) ) @ ( ap @ V2P @ V3x ) ) ) ) ) )
% 5.44/5.73 <=> ( ( p @ ( ap @ V2P @ V0a ) )
% 5.44/5.73 & ( V0a = V1b ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2ESET__MINIMUM,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1M: $i] :
% 5.44/5.73 ( ( mem @ V1M @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.44/5.73 => ( ? [V2x: $i] :
% 5.44/5.73 ( ( mem @ V2x @ A_27a )
% 5.44/5.73 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V0s ) ) )
% 5.44/5.73 <=> ? [V3x: $i] :
% 5.44/5.73 ( ( mem @ V3x @ A_27a )
% 5.44/5.73 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3x ) @ V0s ) )
% 5.44/5.73 & ! [V4y: $i] :
% 5.44/5.73 ( ( mem @ V4y @ A_27a )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V4y ) @ V0s ) )
% 5.44/5.73 => ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ V1M @ V3x ) ) @ ( ap @ V1M @ V4y ) ) ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(ax_thm_2Epred__set_2EEMPTY__DEF,axiom,
% 5.44/5.73 ! [A_27a: del] :
% 5.44/5.73 ( ( c_2Epred__set_2EEMPTY @ A_27a )
% 5.44/5.73 = ( lam @ A_27a
% 5.44/5.73 @ ^ [V0x: $i] : c_2Ebool_2EF ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2ENOT__IN__EMPTY,axiom,
% 5.44/5.73 ! [A_27a: del,V0x: $i] :
% 5.44/5.73 ( ( mem @ V0x @ A_27a )
% 5.44/5.73 => ~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0x ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EMEMBER__NOT__EMPTY,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ? [V1x: $i] :
% 5.44/5.73 ( ( mem @ V1x @ A_27a )
% 5.44/5.73 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V1x ) @ V0s ) ) )
% 5.44/5.73 <=> ( V0s
% 5.44/5.73 != ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EEMPTY__applied,axiom,
% 5.44/5.73 ! [A_27a: del,V0x: $i] :
% 5.44/5.73 ( ( mem @ V0x @ A_27a )
% 5.44/5.73 => ( ( p @ ( ap @ ( c_2Epred__set_2EEMPTY @ A_27a ) @ V0x ) )
% 5.44/5.73 <=> $false ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(ax_thm_2Epred__set_2EUNIV__DEF,axiom,
% 5.44/5.73 ! [A_27a: del] :
% 5.44/5.73 ( ( c_2Epred__set_2EUNIV @ A_27a )
% 5.44/5.73 = ( lam @ A_27a
% 5.44/5.73 @ ^ [V0x: $i] : c_2Ebool_2ET ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EIN__UNIV,axiom,
% 5.44/5.73 ! [A_27a: del,V0x: $i] :
% 5.44/5.73 ( ( mem @ V0x @ A_27a )
% 5.44/5.73 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0x ) @ ( c_2Epred__set_2EUNIV @ A_27a ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EUNIV__applied,axiom,
% 5.44/5.73 ! [A_27a: del,V0x: $i] :
% 5.44/5.73 ( ( mem @ V0x @ A_27a )
% 5.44/5.73 => ( p @ ( ap @ ( c_2Epred__set_2EUNIV @ A_27a ) @ V0x ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EUNIV__NOT__EMPTY,axiom,
% 5.44/5.73 ! [A_27a: del] :
% 5.44/5.73 ( ( c_2Epred__set_2EUNIV @ A_27a )
% 5.44/5.73 != ( c_2Epred__set_2EEMPTY @ A_27a ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EEMPTY__NOT__UNIV,axiom,
% 5.44/5.73 ! [A_27a: del] :
% 5.44/5.73 ( ( c_2Epred__set_2EEMPTY @ A_27a )
% 5.44/5.73 != ( c_2Epred__set_2EUNIV @ A_27a ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EEQ__UNIV,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ! [V1x: $i] :
% 5.44/5.73 ( ( mem @ V1x @ A_27a )
% 5.44/5.73 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V1x ) @ V0s ) ) )
% 5.44/5.73 <=> ( V0s
% 5.44/5.73 = ( c_2Epred__set_2EUNIV @ A_27a ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EIN__EQ__UNIV__IMP,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( V0s
% 5.44/5.73 = ( c_2Epred__set_2EUNIV @ A_27a ) )
% 5.44/5.73 => ! [V1v: $i] :
% 5.44/5.73 ( ( mem @ V1v @ A_27a )
% 5.44/5.73 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V1v ) @ V0s ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(ax_thm_2Epred__set_2ESUBSET__DEF,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1t: $i] :
% 5.44/5.73 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V0s ) @ V1t ) )
% 5.44/5.73 <=> ! [V2x: $i] :
% 5.44/5.73 ( ( mem @ V2x @ A_27a )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V0s ) )
% 5.44/5.73 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V1t ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2ESUBSET__THM,axiom,
% 5.44/5.73 ! [A_27a: del,V0P: $i] :
% 5.44/5.73 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1Q: $i] :
% 5.44/5.73 ( ( mem @ V1Q @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V0P ) @ V1Q ) )
% 5.44/5.73 => ! [V2x: $i] :
% 5.44/5.73 ( ( mem @ V2x @ A_27a )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V0P ) )
% 5.44/5.73 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V1Q ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2ESUBSET__applied,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1t: $i] :
% 5.44/5.73 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V0s ) @ V1t ) )
% 5.44/5.73 <=> ! [V2x: $i] :
% 5.44/5.73 ( ( mem @ V2x @ A_27a )
% 5.44/5.73 => ( ( p @ ( ap @ V0s @ V2x ) )
% 5.44/5.73 => ( p @ ( ap @ V1t @ V2x ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2ESUBSET__TRANS,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1t: $i] :
% 5.44/5.73 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V2u: $i] :
% 5.44/5.73 ( ( mem @ V2u @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V0s ) @ V1t ) )
% 5.44/5.73 & ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V1t ) @ V2u ) ) )
% 5.44/5.73 => ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V0s ) @ V2u ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2ESUBSET__REFL,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V0s ) @ V0s ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2ESUBSET__ANTISYM,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1t: $i] :
% 5.44/5.73 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V0s ) @ V1t ) )
% 5.44/5.73 & ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V1t ) @ V0s ) ) )
% 5.44/5.73 => ( V0s = V1t ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EEMPTY__SUBSET,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) @ V0s ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2ESUBSET__EMPTY,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V0s ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) )
% 5.44/5.73 <=> ( V0s
% 5.44/5.73 = ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2ESUBSET__UNIV,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V0s ) @ ( c_2Epred__set_2EUNIV @ A_27a ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EUNIV__SUBSET,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ ( c_2Epred__set_2EUNIV @ A_27a ) ) @ V0s ) )
% 5.44/5.73 <=> ( V0s
% 5.44/5.73 = ( c_2Epred__set_2EUNIV @ A_27a ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EEQ__SUBSET__SUBSET,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1t: $i] :
% 5.44/5.73 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( V0s = V1t )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V0s ) @ V1t ) )
% 5.44/5.73 & ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V1t ) @ V0s ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2ESUBSET__SUBSET__EQ,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1t: $i] :
% 5.44/5.73 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V0s ) @ V1t ) )
% 5.44/5.73 & ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V1t ) @ V0s ) ) )
% 5.44/5.73 <=> ( V0s = V1t ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2ESUBSET__ADD,axiom,
% 5.44/5.73 ! [A_27a: del,V0f: $i] :
% 5.44/5.73 ( ( mem @ V0f @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.73 => ! [V1n: tp__ty_2Enum_2Enum,V2d: tp__ty_2Enum_2Enum] :
% 5.44/5.73 ( ! [V3n: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ ( ap @ V0f @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) @ ( ap @ V0f @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) ) )
% 5.44/5.73 => ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ ( ap @ V0f @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ ( ap @ V0f @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V2d ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EK__SUBSET,axiom,
% 5.44/5.73 ! [A_27a: del,V0x: $i] :
% 5.44/5.73 ( ( mem @ V0x @ bool )
% 5.44/5.73 => ! [V1y: $i] :
% 5.44/5.73 ( ( mem @ V1y @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ ( ap @ ( c_2Ecombin_2EK @ bool @ A_27a ) @ V0x ) ) @ V1y ) )
% 5.44/5.73 <=> ( ~ ( p @ V0x )
% 5.44/5.73 | ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ ( c_2Epred__set_2EUNIV @ A_27a ) ) @ V1y ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2ESUBSET__K,axiom,
% 5.44/5.73 ! [A_27a: del,V0x: $i] :
% 5.44/5.73 ( ( mem @ V0x @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1y: $i] :
% 5.44/5.73 ( ( mem @ V1y @ bool )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V0x ) @ ( ap @ ( c_2Ecombin_2EK @ bool @ A_27a ) @ V1y ) ) )
% 5.44/5.73 <=> ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V0x ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) )
% 5.44/5.73 | ( p @ V1y ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(ax_thm_2Epred__set_2EPSUBSET__DEF,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1t: $i] :
% 5.44/5.73 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2EPSUBSET @ A_27a ) @ V0s ) @ V1t ) )
% 5.44/5.73 <=> ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V0s ) @ V1t ) )
% 5.44/5.73 & ( V0s != V1t ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EPSUBSET__TRANS,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1t: $i] :
% 5.44/5.73 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V2u: $i] :
% 5.44/5.73 ( ( mem @ V2u @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2EPSUBSET @ A_27a ) @ V0s ) @ V1t ) )
% 5.44/5.73 & ( p @ ( ap @ ( ap @ ( c_2Epred__set_2EPSUBSET @ A_27a ) @ V1t ) @ V2u ) ) )
% 5.44/5.73 => ( p @ ( ap @ ( ap @ ( c_2Epred__set_2EPSUBSET @ A_27a ) @ V0s ) @ V2u ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EPSUBSET__IRREFL,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ~ ( p @ ( ap @ ( ap @ ( c_2Epred__set_2EPSUBSET @ A_27a ) @ V0s ) @ V0s ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2ENOT__PSUBSET__EMPTY,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ~ ( p @ ( ap @ ( ap @ ( c_2Epred__set_2EPSUBSET @ A_27a ) @ V0s ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2ENOT__UNIV__PSUBSET,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ~ ( p @ ( ap @ ( ap @ ( c_2Epred__set_2EPSUBSET @ A_27a ) @ ( c_2Epred__set_2EUNIV @ A_27a ) ) @ V0s ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EPSUBSET__UNIV,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2EPSUBSET @ A_27a ) @ V0s ) @ ( c_2Epred__set_2EUNIV @ A_27a ) ) )
% 5.44/5.73 <=> ? [V1x: $i] :
% 5.44/5.73 ( ( mem @ V1x @ A_27a )
% 5.44/5.73 & ~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V1x ) @ V0s ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(ax_thm_2Epred__set_2EUNION__DEF,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1t: $i] :
% 5.44/5.73 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ V0s ) @ V1t )
% 5.44/5.73 = ( ap @ ( c_2Epred__set_2EGSPEC @ A_27a @ A_27a )
% 5.44/5.73 @ ( lam @ A_27a
% 5.44/5.73 @ ^ [V2x: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ bool ) @ V2x ) @ ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V0s ) ) @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V1t ) ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EIN__UNION,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1t: $i] :
% 5.44/5.73 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V2x: $i] :
% 5.44/5.73 ( ( mem @ V2x @ A_27a )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ V0s ) @ V1t ) ) )
% 5.44/5.73 <=> ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V0s ) )
% 5.44/5.73 | ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V1t ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EUNION__applied,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1t: $i] :
% 5.44/5.73 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V2x: $i] :
% 5.44/5.73 ( ( mem @ V2x @ A_27a )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ V0s ) @ V1t ) @ V2x ) )
% 5.44/5.73 <=> ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V0s ) )
% 5.44/5.73 | ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V1t ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EUNION__ASSOC,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1t: $i] :
% 5.44/5.73 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V2u: $i] :
% 5.44/5.73 ( ( mem @ V2u @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ V0s ) @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ V1t ) @ V2u ) )
% 5.44/5.73 = ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ V0s ) @ V1t ) ) @ V2u ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EUNION__IDEMPOT,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ V0s ) @ V0s )
% 5.44/5.73 = V0s ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EUNION__COMM,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1t: $i] :
% 5.44/5.73 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ V0s ) @ V1t )
% 5.44/5.73 = ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ V1t ) @ V0s ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2ESUBSET__UNION,axiom,
% 5.44/5.73 ! [A_27a: del] :
% 5.44/5.73 ( ! [V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1t: $i] :
% 5.44/5.73 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V0s ) @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ V0s ) @ V1t ) ) ) ) )
% 5.44/5.73 & ! [V2s: $i] :
% 5.44/5.73 ( ( mem @ V2s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V3t: $i] :
% 5.44/5.73 ( ( mem @ V3t @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V2s ) @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ V3t ) @ V2s ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EUNION__SUBSET,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1t: $i] :
% 5.44/5.73 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V2u: $i] :
% 5.44/5.73 ( ( mem @ V2u @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ V0s ) @ V1t ) ) @ V2u ) )
% 5.44/5.73 <=> ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V0s ) @ V2u ) )
% 5.44/5.73 & ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V1t ) @ V2u ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2ESUBSET__UNION__ABSORPTION,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1t: $i] :
% 5.44/5.73 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V0s ) @ V1t ) )
% 5.44/5.73 <=> ( ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ V0s ) @ V1t )
% 5.44/5.73 = V1t ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EUNION__EMPTY,axiom,
% 5.44/5.73 ! [A_27a: del] :
% 5.44/5.73 ( ! [V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) @ V0s )
% 5.44/5.73 = V0s ) )
% 5.44/5.73 & ! [V1s: $i] :
% 5.44/5.73 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ V1s ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) )
% 5.44/5.73 = V1s ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EUNION__UNIV,axiom,
% 5.44/5.73 ! [A_27a: del] :
% 5.44/5.73 ( ! [V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ ( c_2Epred__set_2EUNIV @ A_27a ) ) @ V0s )
% 5.44/5.73 = ( c_2Epred__set_2EUNIV @ A_27a ) ) )
% 5.44/5.73 & ! [V1s: $i] :
% 5.44/5.73 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ V1s ) @ ( c_2Epred__set_2EUNIV @ A_27a ) )
% 5.44/5.73 = ( c_2Epred__set_2EUNIV @ A_27a ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EEMPTY__UNION,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1t: $i] :
% 5.44/5.73 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ V0s ) @ V1t )
% 5.44/5.73 = ( c_2Epred__set_2EEMPTY @ A_27a ) )
% 5.44/5.73 <=> ( ( V0s
% 5.44/5.73 = ( c_2Epred__set_2EEMPTY @ A_27a ) )
% 5.44/5.73 & ( V1t
% 5.44/5.73 = ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EFORALL__IN__UNION,axiom,
% 5.44/5.73 ! [A_27a: del,V0P: $i] :
% 5.44/5.73 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1s: $i] :
% 5.44/5.73 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V2t: $i] :
% 5.44/5.73 ( ( mem @ V2t @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ! [V3x: $i] :
% 5.44/5.73 ( ( mem @ V3x @ A_27a )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3x ) @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ V1s ) @ V2t ) ) )
% 5.44/5.73 => ( p @ ( ap @ V0P @ V3x ) ) ) )
% 5.44/5.73 <=> ( ! [V4x: $i] :
% 5.44/5.73 ( ( mem @ V4x @ A_27a )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V4x ) @ V1s ) )
% 5.44/5.73 => ( p @ ( ap @ V0P @ V4x ) ) ) )
% 5.44/5.73 & ! [V5x: $i] :
% 5.44/5.73 ( ( mem @ V5x @ A_27a )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V5x ) @ V2t ) )
% 5.44/5.73 => ( p @ ( ap @ V0P @ V5x ) ) ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(ax_thm_2Epred__set_2EINTER__DEF,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1t: $i] :
% 5.44/5.73 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ V0s ) @ V1t )
% 5.44/5.73 = ( ap @ ( c_2Epred__set_2EGSPEC @ A_27a @ A_27a )
% 5.44/5.73 @ ( lam @ A_27a
% 5.44/5.73 @ ^ [V2x: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ bool ) @ V2x ) @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V0s ) ) @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V1t ) ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EIN__INTER,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1t: $i] :
% 5.44/5.73 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V2x: $i] :
% 5.44/5.73 ( ( mem @ V2x @ A_27a )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ V0s ) @ V1t ) ) )
% 5.44/5.73 <=> ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V0s ) )
% 5.44/5.73 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V1t ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EINTER__applied,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1t: $i] :
% 5.44/5.73 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V2x: $i] :
% 5.44/5.73 ( ( mem @ V2x @ A_27a )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ V0s ) @ V1t ) @ V2x ) )
% 5.44/5.73 <=> ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V0s ) )
% 5.44/5.73 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V1t ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EINTER__ASSOC,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1t: $i] :
% 5.44/5.73 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V2u: $i] :
% 5.44/5.73 ( ( mem @ V2u @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ V0s ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ V1t ) @ V2u ) )
% 5.44/5.73 = ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ V0s ) @ V1t ) ) @ V2u ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EINTER__IDEMPOT,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ V0s ) @ V0s )
% 5.44/5.73 = V0s ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EINTER__COMM,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1t: $i] :
% 5.44/5.73 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ V0s ) @ V1t )
% 5.44/5.73 = ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ V1t ) @ V0s ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EINTER__SUBSET,axiom,
% 5.44/5.73 ! [A_27a: del] :
% 5.44/5.73 ( ! [V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1t: $i] :
% 5.44/5.73 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ V0s ) @ V1t ) ) @ V0s ) ) ) )
% 5.44/5.73 & ! [V2s: $i] :
% 5.44/5.73 ( ( mem @ V2s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V3t: $i] :
% 5.44/5.73 ( ( mem @ V3t @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ V3t ) @ V2s ) ) @ V2s ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2ESUBSET__INTER,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1t: $i] :
% 5.44/5.73 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V2u: $i] :
% 5.44/5.73 ( ( mem @ V2u @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V0s ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ V1t ) @ V2u ) ) )
% 5.44/5.73 <=> ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V0s ) @ V1t ) )
% 5.44/5.73 & ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V0s ) @ V2u ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2ESUBSET__INTER__ABSORPTION,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1t: $i] :
% 5.44/5.73 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V0s ) @ V1t ) )
% 5.44/5.73 <=> ( ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ V0s ) @ V1t )
% 5.44/5.73 = V0s ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2ESUBSET__INTER1,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1t: $i] :
% 5.44/5.73 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V0s ) @ V1t ) )
% 5.44/5.73 => ( ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ V0s ) @ V1t )
% 5.44/5.73 = V0s ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2ESUBSET__INTER2,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1t: $i] :
% 5.44/5.73 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V0s ) @ V1t ) )
% 5.44/5.73 => ( ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ V1t ) @ V0s )
% 5.44/5.73 = V0s ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EINTER__EMPTY,axiom,
% 5.44/5.73 ! [A_27a: del] :
% 5.44/5.73 ( ! [V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) @ V0s )
% 5.44/5.73 = ( c_2Epred__set_2EEMPTY @ A_27a ) ) )
% 5.44/5.73 & ! [V1s: $i] :
% 5.44/5.73 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ V1s ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) )
% 5.44/5.73 = ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EINTER__UNIV,axiom,
% 5.44/5.73 ! [A_27a: del] :
% 5.44/5.73 ( ! [V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ ( c_2Epred__set_2EUNIV @ A_27a ) ) @ V0s )
% 5.44/5.73 = V0s ) )
% 5.44/5.73 & ! [V1s: $i] :
% 5.44/5.73 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ V1s ) @ ( c_2Epred__set_2EUNIV @ A_27a ) )
% 5.44/5.73 = V1s ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EUNION__OVER__INTER,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1t: $i] :
% 5.44/5.73 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V2u: $i] :
% 5.44/5.73 ( ( mem @ V2u @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ V0s ) @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ V1t ) @ V2u ) )
% 5.44/5.73 = ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ V0s ) @ V1t ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ V0s ) @ V2u ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EINTER__OVER__UNION,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1t: $i] :
% 5.44/5.73 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V2u: $i] :
% 5.44/5.73 ( ( mem @ V2u @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ V0s ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ V1t ) @ V2u ) )
% 5.44/5.73 = ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ V0s ) @ V1t ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ V0s ) @ V2u ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(ax_thm_2Epred__set_2EDISJOINT__DEF,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1t: $i] :
% 5.44/5.73 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2EDISJOINT @ A_27a ) @ V0s ) @ V1t ) )
% 5.44/5.73 <=> ( ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ V0s ) @ V1t )
% 5.44/5.73 = ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EIN__DISJOINT,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1t: $i] :
% 5.44/5.73 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2EDISJOINT @ A_27a ) @ V0s ) @ V1t ) )
% 5.44/5.73 <=> ~ ? [V2x: $i] :
% 5.44/5.73 ( ( mem @ V2x @ A_27a )
% 5.44/5.73 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V0s ) )
% 5.44/5.73 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V1t ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EDISJOINT__SYM,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1t: $i] :
% 5.44/5.73 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2EDISJOINT @ A_27a ) @ V0s ) @ V1t ) )
% 5.44/5.73 <=> ( p @ ( ap @ ( ap @ ( c_2Epred__set_2EDISJOINT @ A_27a ) @ V1t ) @ V0s ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EDISJOINT__ALT,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1t: $i] :
% 5.44/5.73 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2EDISJOINT @ A_27a ) @ V0s ) @ V1t ) )
% 5.44/5.73 <=> ! [V2x: $i] :
% 5.44/5.73 ( ( mem @ V2x @ A_27a )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V0s ) )
% 5.44/5.73 => ~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V1t ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EDISJOINT__EMPTY,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2EDISJOINT @ A_27a ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) @ V0s ) )
% 5.44/5.73 & ( p @ ( ap @ ( ap @ ( c_2Epred__set_2EDISJOINT @ A_27a ) @ V0s ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EDISJOINT__EMPTY__REFL,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( V0s
% 5.44/5.73 = ( c_2Epred__set_2EEMPTY @ A_27a ) )
% 5.44/5.73 <=> ( p @ ( ap @ ( ap @ ( c_2Epred__set_2EDISJOINT @ A_27a ) @ V0s ) @ V0s ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EDISJOINT__EMPTY__REFL__RWT,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2EDISJOINT @ A_27a ) @ V0s ) @ V0s ) )
% 5.44/5.73 <=> ( V0s
% 5.44/5.73 = ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EDISJOINT__UNION,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1t: $i] :
% 5.44/5.73 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V2u: $i] :
% 5.44/5.73 ( ( mem @ V2u @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2EDISJOINT @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ V0s ) @ V1t ) ) @ V2u ) )
% 5.44/5.73 <=> ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2EDISJOINT @ A_27a ) @ V0s ) @ V2u ) )
% 5.44/5.73 & ( p @ ( ap @ ( ap @ ( c_2Epred__set_2EDISJOINT @ A_27a ) @ V1t ) @ V2u ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EDISJOINT__UNION__BOTH,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1t: $i] :
% 5.44/5.73 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V2u: $i] :
% 5.44/5.73 ( ( mem @ V2u @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2EDISJOINT @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ V0s ) @ V1t ) ) @ V2u ) )
% 5.44/5.73 <=> ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2EDISJOINT @ A_27a ) @ V0s ) @ V2u ) )
% 5.44/5.73 & ( p @ ( ap @ ( ap @ ( c_2Epred__set_2EDISJOINT @ A_27a ) @ V1t ) @ V2u ) ) ) )
% 5.44/5.73 & ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2EDISJOINT @ A_27a ) @ V2u ) @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ V0s ) @ V1t ) ) )
% 5.44/5.73 <=> ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2EDISJOINT @ A_27a ) @ V0s ) @ V2u ) )
% 5.44/5.73 & ( p @ ( ap @ ( ap @ ( c_2Epred__set_2EDISJOINT @ A_27a ) @ V1t ) @ V2u ) ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EDISJOINT__SUBSET,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1t: $i] :
% 5.44/5.73 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V2u: $i] :
% 5.44/5.73 ( ( mem @ V2u @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2EDISJOINT @ A_27a ) @ V0s ) @ V1t ) )
% 5.44/5.73 & ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V2u ) @ V1t ) ) )
% 5.44/5.73 => ( p @ ( ap @ ( ap @ ( c_2Epred__set_2EDISJOINT @ A_27a ) @ V0s ) @ V2u ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(ax_thm_2Epred__set_2EDIFF__DEF,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1t: $i] :
% 5.44/5.73 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( ap @ ( ap @ ( c_2Epred__set_2EDIFF @ A_27a ) @ V0s ) @ V1t )
% 5.44/5.73 = ( ap @ ( c_2Epred__set_2EGSPEC @ A_27a @ A_27a )
% 5.44/5.73 @ ( lam @ A_27a
% 5.44/5.73 @ ^ [V2x: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ bool ) @ V2x ) @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V0s ) ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V1t ) ) ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EIN__DIFF,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1t: $i] :
% 5.44/5.73 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V2x: $i] :
% 5.44/5.73 ( ( mem @ V2x @ A_27a )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDIFF @ A_27a ) @ V0s ) @ V1t ) ) )
% 5.44/5.73 <=> ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V0s ) )
% 5.44/5.73 & ~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V1t ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EDIFF__applied,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1t: $i] :
% 5.44/5.73 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V2x: $i] :
% 5.44/5.73 ( ( mem @ V2x @ A_27a )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EDIFF @ A_27a ) @ V0s ) @ V1t ) @ V2x ) )
% 5.44/5.73 <=> ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V0s ) )
% 5.44/5.73 & ~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V1t ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EDIFF__EMPTY,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( ap @ ( ap @ ( c_2Epred__set_2EDIFF @ A_27a ) @ V0s ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) )
% 5.44/5.73 = V0s ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EEMPTY__DIFF,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( ap @ ( ap @ ( c_2Epred__set_2EDIFF @ A_27a ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) @ V0s )
% 5.44/5.73 = ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EDIFF__UNIV,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( ap @ ( ap @ ( c_2Epred__set_2EDIFF @ A_27a ) @ V0s ) @ ( c_2Epred__set_2EUNIV @ A_27a ) )
% 5.44/5.73 = ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EDIFF__DIFF,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1t: $i] :
% 5.44/5.73 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( ap @ ( ap @ ( c_2Epred__set_2EDIFF @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDIFF @ A_27a ) @ V0s ) @ V1t ) ) @ V1t )
% 5.44/5.73 = ( ap @ ( ap @ ( c_2Epred__set_2EDIFF @ A_27a ) @ V0s ) @ V1t ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EDIFF__EQ__EMPTY,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( ap @ ( ap @ ( c_2Epred__set_2EDIFF @ A_27a ) @ V0s ) @ V0s )
% 5.44/5.73 = ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EDIFF__SUBSET,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1t: $i] :
% 5.44/5.73 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDIFF @ A_27a ) @ V0s ) @ V1t ) ) @ V0s ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EUNION__DIFF,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1t: $i] :
% 5.44/5.73 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V0s ) @ V1t ) )
% 5.44/5.73 => ( ( ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ V0s ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDIFF @ A_27a ) @ V1t ) @ V0s ) )
% 5.44/5.73 = V1t )
% 5.44/5.73 & ( ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDIFF @ A_27a ) @ V1t ) @ V0s ) ) @ V0s )
% 5.44/5.73 = V1t ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EDIFF__DIFF__SUBSET,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1t: $i] :
% 5.44/5.73 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V1t ) @ V0s ) )
% 5.44/5.73 => ( ( ap @ ( ap @ ( c_2Epred__set_2EDIFF @ A_27a ) @ V0s ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDIFF @ A_27a ) @ V0s ) @ V1t ) )
% 5.44/5.73 = V1t ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EDIFF__UNION,axiom,
% 5.44/5.73 ! [A_27a: del,V0x: $i] :
% 5.44/5.73 ( ( mem @ V0x @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1y: $i] :
% 5.44/5.73 ( ( mem @ V1y @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V2z: $i] :
% 5.44/5.73 ( ( mem @ V2z @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( ap @ ( ap @ ( c_2Epred__set_2EDIFF @ A_27a ) @ V0x ) @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ V1y ) @ V2z ) )
% 5.44/5.73 = ( ap @ ( ap @ ( c_2Epred__set_2EDIFF @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDIFF @ A_27a ) @ V0x ) @ V1y ) ) @ V2z ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EDIFF__COMM,axiom,
% 5.44/5.73 ! [A_27a: del,V0x: $i] :
% 5.44/5.73 ( ( mem @ V0x @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1y: $i] :
% 5.44/5.73 ( ( mem @ V1y @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V2z: $i] :
% 5.44/5.73 ( ( mem @ V2z @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( ap @ ( ap @ ( c_2Epred__set_2EDIFF @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDIFF @ A_27a ) @ V0x ) @ V1y ) ) @ V2z )
% 5.44/5.73 = ( ap @ ( ap @ ( c_2Epred__set_2EDIFF @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDIFF @ A_27a ) @ V0x ) @ V2z ) ) @ V1y ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EDIFF__SAME__UNION,axiom,
% 5.44/5.73 ! [A_27a: del,V0x: $i] :
% 5.44/5.73 ( ( mem @ V0x @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1y: $i] :
% 5.44/5.73 ( ( mem @ V1y @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( ( ap @ ( ap @ ( c_2Epred__set_2EDIFF @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ V0x ) @ V1y ) ) @ V0x )
% 5.44/5.73 = ( ap @ ( ap @ ( c_2Epred__set_2EDIFF @ A_27a ) @ V1y ) @ V0x ) )
% 5.44/5.73 & ( ( ap @ ( ap @ ( c_2Epred__set_2EDIFF @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ V0x ) @ V1y ) ) @ V1y )
% 5.44/5.73 = ( ap @ ( ap @ ( c_2Epred__set_2EDIFF @ A_27a ) @ V0x ) @ V1y ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EDIFF__INTER,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1t: $i] :
% 5.44/5.73 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V2g: $i] :
% 5.44/5.73 ( ( mem @ V2g @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDIFF @ A_27a ) @ V0s ) @ V1t ) ) @ V2g )
% 5.44/5.73 = ( ap @ ( ap @ ( c_2Epred__set_2EDIFF @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ V0s ) @ V2g ) ) @ V1t ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EDIFF__INTER2,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1t: $i] :
% 5.44/5.73 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( ap @ ( ap @ ( c_2Epred__set_2EDIFF @ A_27a ) @ V0s ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ V1t ) @ V0s ) )
% 5.44/5.73 = ( ap @ ( ap @ ( c_2Epred__set_2EDIFF @ A_27a ) @ V0s ) @ V1t ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EDISJOINT__DIFF,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1t: $i] :
% 5.44/5.73 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2EDISJOINT @ A_27a ) @ V1t ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDIFF @ A_27a ) @ V0s ) @ V1t ) ) )
% 5.44/5.73 & ( p @ ( ap @ ( ap @ ( c_2Epred__set_2EDISJOINT @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDIFF @ A_27a ) @ V0s ) @ V1t ) ) @ V1t ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EDISJOINT__DIFFS,axiom,
% 5.44/5.73 ! [A_27a: del,V0g: $i] :
% 5.44/5.73 ( ( mem @ V0g @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.73 => ! [V1f: $i] :
% 5.44/5.73 ( ( mem @ V1f @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.73 => ! [V2m: tp__ty_2Enum_2Enum,V3n: tp__ty_2Enum_2Enum] :
% 5.44/5.73 ( ( ! [V4n: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ ( ap @ V1f @ ( inj__ty_2Enum_2Enum @ V4n ) ) ) @ ( ap @ V1f @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V4n ) ) ) ) )
% 5.44/5.73 & ! [V5n: tp__ty_2Enum_2Enum] :
% 5.44/5.73 ( ( ap @ V0g @ ( inj__ty_2Enum_2Enum @ V5n ) )
% 5.44/5.73 = ( ap @ ( ap @ ( c_2Epred__set_2EDIFF @ A_27a ) @ ( ap @ V1f @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V5n ) ) ) ) @ ( ap @ V1f @ ( inj__ty_2Enum_2Enum @ V5n ) ) ) )
% 5.44/5.73 & ( V2m != V3n ) )
% 5.44/5.73 => ( p @ ( ap @ ( ap @ ( c_2Epred__set_2EDISJOINT @ A_27a ) @ ( ap @ V0g @ ( inj__ty_2Enum_2Enum @ V2m ) ) ) @ ( ap @ V0g @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(ax_thm_2Epred__set_2EINSERT__DEF,axiom,
% 5.44/5.73 ! [A_27a: del,V0x: $i] :
% 5.44/5.73 ( ( mem @ V0x @ A_27a )
% 5.44/5.73 => ! [V1s: $i] :
% 5.44/5.73 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V0x ) @ V1s )
% 5.44/5.73 = ( ap @ ( c_2Epred__set_2EGSPEC @ A_27a @ A_27a )
% 5.44/5.73 @ ( lam @ A_27a
% 5.44/5.73 @ ^ [V2y: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ bool ) @ V2y ) @ ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V2y ) @ V0x ) ) @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2y ) @ V1s ) ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EIN__INSERT,axiom,
% 5.44/5.73 ! [A_27a: del,V0x: $i] :
% 5.44/5.73 ( ( mem @ V0x @ A_27a )
% 5.44/5.73 => ! [V1y: $i] :
% 5.44/5.73 ( ( mem @ V1y @ A_27a )
% 5.44/5.73 => ! [V2s: $i] :
% 5.44/5.73 ( ( mem @ V2s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0x ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V1y ) @ V2s ) ) )
% 5.44/5.73 <=> ( ( V0x = V1y )
% 5.44/5.73 | ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0x ) @ V2s ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EINSERT__applied,axiom,
% 5.44/5.73 ! [A_27a: del,V0x: $i] :
% 5.44/5.73 ( ( mem @ V0x @ A_27a )
% 5.44/5.73 => ! [V1y: $i] :
% 5.44/5.73 ( ( mem @ V1y @ A_27a )
% 5.44/5.73 => ! [V2s: $i] :
% 5.44/5.73 ( ( mem @ V2s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V1y ) @ V2s ) @ V0x ) )
% 5.44/5.73 <=> ( ( V0x = V1y )
% 5.44/5.73 | ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0x ) @ V2s ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2ECOMPONENT,axiom,
% 5.44/5.73 ! [A_27a: del,V0x: $i] :
% 5.44/5.73 ( ( mem @ V0x @ A_27a )
% 5.44/5.73 => ! [V1s: $i] :
% 5.44/5.73 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0x ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V0x ) @ V1s ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2ESET__CASES,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( V0s
% 5.44/5.73 = ( c_2Epred__set_2EEMPTY @ A_27a ) )
% 5.44/5.73 | ? [V1x: $i] :
% 5.44/5.73 ( ( mem @ V1x @ A_27a )
% 5.44/5.73 & ? [V2t: $i] :
% 5.44/5.73 ( ( mem @ V2t @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 & ( V0s
% 5.44/5.73 = ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V1x ) @ V2t ) )
% 5.44/5.73 & ~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V1x ) @ V2t ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EDECOMPOSITION,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1x: $i] :
% 5.44/5.73 ( ( mem @ V1x @ A_27a )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V1x ) @ V0s ) )
% 5.44/5.73 <=> ? [V2t: $i] :
% 5.44/5.73 ( ( mem @ V2t @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 & ( V0s
% 5.44/5.73 = ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V1x ) @ V2t ) )
% 5.44/5.73 & ~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V1x ) @ V2t ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EABSORPTION,axiom,
% 5.44/5.73 ! [A_27a: del,V0x: $i] :
% 5.44/5.73 ( ( mem @ V0x @ A_27a )
% 5.44/5.73 => ! [V1s: $i] :
% 5.44/5.73 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0x ) @ V1s ) )
% 5.44/5.73 <=> ( ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V0x ) @ V1s )
% 5.44/5.73 = V1s ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EABSORPTION__RWT,axiom,
% 5.44/5.73 ! [A_27a: del,V0x: $i] :
% 5.44/5.73 ( ( mem @ V0x @ A_27a )
% 5.44/5.73 => ! [V1s: $i] :
% 5.44/5.73 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0x ) @ V1s ) )
% 5.44/5.73 => ( ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V0x ) @ V1s )
% 5.44/5.73 = V1s ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EINSERT__INSERT,axiom,
% 5.44/5.73 ! [A_27a: del,V0x: $i] :
% 5.44/5.73 ( ( mem @ V0x @ A_27a )
% 5.44/5.73 => ! [V1s: $i] :
% 5.44/5.73 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V0x ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V0x ) @ V1s ) )
% 5.44/5.73 = ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V0x ) @ V1s ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EINSERT__COMM,axiom,
% 5.44/5.73 ! [A_27a: del,V0x: $i] :
% 5.44/5.73 ( ( mem @ V0x @ A_27a )
% 5.44/5.73 => ! [V1y: $i] :
% 5.44/5.73 ( ( mem @ V1y @ A_27a )
% 5.44/5.73 => ! [V2s: $i] :
% 5.44/5.73 ( ( mem @ V2s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V0x ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V1y ) @ V2s ) )
% 5.44/5.73 = ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V1y ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V0x ) @ V2s ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EINSERT__UNIV,axiom,
% 5.44/5.73 ! [A_27a: del,V0x: $i] :
% 5.44/5.73 ( ( mem @ V0x @ A_27a )
% 5.44/5.73 => ( ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V0x ) @ ( c_2Epred__set_2EUNIV @ A_27a ) )
% 5.44/5.73 = ( c_2Epred__set_2EUNIV @ A_27a ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2ENOT__INSERT__EMPTY,axiom,
% 5.44/5.73 ! [A_27a: del,V0x: $i] :
% 5.44/5.73 ( ( mem @ V0x @ A_27a )
% 5.44/5.73 => ! [V1s: $i] :
% 5.44/5.73 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V0x ) @ V1s )
% 5.44/5.73 != ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2ENOT__EMPTY__INSERT,axiom,
% 5.44/5.73 ! [A_27a: del,V0x: $i] :
% 5.44/5.73 ( ( mem @ V0x @ A_27a )
% 5.44/5.73 => ! [V1s: $i] :
% 5.44/5.73 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( c_2Epred__set_2EEMPTY @ A_27a )
% 5.44/5.73 != ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V0x ) @ V1s ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EINSERT__UNION,axiom,
% 5.44/5.73 ! [A_27a: del,V0x: $i] :
% 5.44/5.73 ( ( mem @ V0x @ A_27a )
% 5.44/5.73 => ! [V1s: $i] :
% 5.44/5.73 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V2t: $i] :
% 5.44/5.73 ( ( mem @ V2t @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V0x ) @ V1s ) ) @ V2t )
% 5.44/5.73 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( arr @ A_27a @ bool ) ) @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0x ) @ V2t ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ V1s ) @ V2t ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V0x ) @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ V1s ) @ V2t ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EINSERT__UNION__EQ,axiom,
% 5.44/5.73 ! [A_27a: del,V0x: $i] :
% 5.44/5.73 ( ( mem @ V0x @ A_27a )
% 5.44/5.73 => ! [V1s: $i] :
% 5.44/5.73 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V2t: $i] :
% 5.44/5.73 ( ( mem @ V2t @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V0x ) @ V1s ) ) @ V2t )
% 5.44/5.73 = ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V0x ) @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ V1s ) @ V2t ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EINSERT__INTER,axiom,
% 5.44/5.73 ! [A_27a: del,V0x: $i] :
% 5.44/5.73 ( ( mem @ V0x @ A_27a )
% 5.44/5.73 => ! [V1s: $i] :
% 5.44/5.73 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V2t: $i] :
% 5.44/5.73 ( ( mem @ V2t @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V0x ) @ V1s ) ) @ V2t )
% 5.44/5.73 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( arr @ A_27a @ bool ) ) @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0x ) @ V2t ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V0x ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ V1s ) @ V2t ) ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ V1s ) @ V2t ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EDISJOINT__INSERT,axiom,
% 5.44/5.73 ! [A_27a: del,V0x: $i] :
% 5.44/5.73 ( ( mem @ V0x @ A_27a )
% 5.44/5.73 => ! [V1s: $i] :
% 5.44/5.73 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V2t: $i] :
% 5.44/5.73 ( ( mem @ V2t @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2EDISJOINT @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V0x ) @ V1s ) ) @ V2t ) )
% 5.44/5.73 <=> ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2EDISJOINT @ A_27a ) @ V1s ) @ V2t ) )
% 5.44/5.73 & ~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0x ) @ V2t ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EDISJOINT__INSERT_27,axiom,
% 5.44/5.73 ! [A_27a: del,V0x: $i] :
% 5.44/5.73 ( ( mem @ V0x @ A_27a )
% 5.44/5.73 => ! [V1s: $i] :
% 5.44/5.73 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V2t: $i] :
% 5.44/5.73 ( ( mem @ V2t @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2EDISJOINT @ A_27a ) @ V2t ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V0x ) @ V1s ) ) )
% 5.44/5.73 <=> ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2EDISJOINT @ A_27a ) @ V2t ) @ V1s ) )
% 5.44/5.73 & ~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0x ) @ V2t ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EINSERT__SUBSET,axiom,
% 5.44/5.73 ! [A_27a: del,V0x: $i] :
% 5.44/5.73 ( ( mem @ V0x @ A_27a )
% 5.44/5.73 => ! [V1s: $i] :
% 5.44/5.73 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V2t: $i] :
% 5.44/5.73 ( ( mem @ V2t @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V0x ) @ V1s ) ) @ V2t ) )
% 5.44/5.73 <=> ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0x ) @ V2t ) )
% 5.44/5.73 & ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V1s ) @ V2t ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2ESUBSET__INSERT,axiom,
% 5.44/5.73 ! [A_27a: del,V0x: $i] :
% 5.44/5.73 ( ( mem @ V0x @ A_27a )
% 5.44/5.73 => ! [V1s: $i] :
% 5.44/5.73 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0x ) @ V1s ) )
% 5.44/5.73 => ! [V2t: $i] :
% 5.44/5.73 ( ( mem @ V2t @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V1s ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V0x ) @ V2t ) ) )
% 5.44/5.73 <=> ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V1s ) @ V2t ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EINSERT__DIFF,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1t: $i] :
% 5.44/5.73 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V2x: $i] :
% 5.44/5.73 ( ( mem @ V2x @ A_27a )
% 5.44/5.73 => ( ( ap @ ( ap @ ( c_2Epred__set_2EDIFF @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V2x ) @ V0s ) ) @ V1t )
% 5.44/5.73 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( arr @ A_27a @ bool ) ) @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V1t ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDIFF @ A_27a ) @ V0s ) @ V1t ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V2x ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDIFF @ A_27a ) @ V0s ) @ V1t ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EUNIV__BOOL,axiom,
% 5.44/5.73 ( ( c_2Epred__set_2EUNIV @ bool )
% 5.44/5.73 = ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ bool ) @ c_2Ebool_2ET ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ bool ) @ c_2Ebool_2EF ) @ ( c_2Epred__set_2EEMPTY @ bool ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EFORALL__IN__INSERT,axiom,
% 5.44/5.73 ! [A_27a: del,V0P: $i] :
% 5.44/5.73 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1a: $i] :
% 5.44/5.73 ( ( mem @ V1a @ A_27a )
% 5.44/5.73 => ! [V2s: $i] :
% 5.44/5.73 ( ( mem @ V2s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ! [V3x: $i] :
% 5.44/5.73 ( ( mem @ V3x @ A_27a )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3x ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V1a ) @ V2s ) ) )
% 5.44/5.73 => ( p @ ( ap @ V0P @ V3x ) ) ) )
% 5.44/5.73 <=> ( ( p @ ( ap @ V0P @ V1a ) )
% 5.44/5.73 & ! [V4x: $i] :
% 5.44/5.73 ( ( mem @ V4x @ A_27a )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V4x ) @ V2s ) )
% 5.44/5.73 => ( p @ ( ap @ V0P @ V4x ) ) ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EEXISTS__IN__INSERT,axiom,
% 5.44/5.73 ! [A_27a: del,V0P: $i] :
% 5.44/5.73 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1a: $i] :
% 5.44/5.73 ( ( mem @ V1a @ A_27a )
% 5.44/5.73 => ! [V2s: $i] :
% 5.44/5.73 ( ( mem @ V2s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ? [V3x: $i] :
% 5.44/5.73 ( ( mem @ V3x @ A_27a )
% 5.44/5.73 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3x ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V1a ) @ V2s ) ) )
% 5.44/5.73 & ( p @ ( ap @ V0P @ V3x ) ) )
% 5.44/5.73 <=> ( ( p @ ( ap @ V0P @ V1a ) )
% 5.44/5.73 | ? [V4x: $i] :
% 5.44/5.73 ( ( mem @ V4x @ A_27a )
% 5.44/5.73 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V4x ) @ V2s ) )
% 5.44/5.73 & ( p @ ( ap @ V0P @ V4x ) ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(ax_thm_2Epred__set_2EDELETE__DEF,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1x: $i] :
% 5.44/5.73 ( ( mem @ V1x @ A_27a )
% 5.44/5.73 => ( ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ A_27a ) @ V0s ) @ V1x )
% 5.44/5.73 = ( ap @ ( ap @ ( c_2Epred__set_2EDIFF @ A_27a ) @ V0s ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V1x ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EIN__DELETE,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1x: $i] :
% 5.44/5.73 ( ( mem @ V1x @ A_27a )
% 5.44/5.73 => ! [V2y: $i] :
% 5.44/5.73 ( ( mem @ V2y @ A_27a )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V1x ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ A_27a ) @ V0s ) @ V2y ) ) )
% 5.44/5.73 <=> ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V1x ) @ V0s ) )
% 5.44/5.73 & ( V1x != V2y ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EDELETE__applied,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1x: $i] :
% 5.44/5.73 ( ( mem @ V1x @ A_27a )
% 5.44/5.73 => ! [V2y: $i] :
% 5.44/5.73 ( ( mem @ V2y @ A_27a )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ A_27a ) @ V0s ) @ V2y ) @ V1x ) )
% 5.44/5.73 <=> ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V1x ) @ V0s ) )
% 5.44/5.73 & ( V1x != V2y ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EDELETE__NON__ELEMENT,axiom,
% 5.44/5.73 ! [A_27a: del,V0x: $i] :
% 5.44/5.73 ( ( mem @ V0x @ A_27a )
% 5.44/5.73 => ! [V1s: $i] :
% 5.44/5.73 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0x ) @ V1s ) )
% 5.44/5.73 <=> ( ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ A_27a ) @ V1s ) @ V0x )
% 5.44/5.73 = V1s ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EDELETE__NON__ELEMENT__RWT,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1x: $i] :
% 5.44/5.73 ( ( mem @ V1x @ A_27a )
% 5.44/5.73 => ( ~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V1x ) @ V0s ) )
% 5.44/5.73 => ( ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ A_27a ) @ V0s ) @ V1x )
% 5.44/5.73 = V0s ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EIN__DELETE__EQ,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1x: $i] :
% 5.44/5.73 ( ( mem @ V1x @ A_27a )
% 5.44/5.73 => ! [V2x_27: $i] :
% 5.44/5.73 ( ( mem @ V2x_27 @ A_27a )
% 5.44/5.73 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V1x ) @ V0s ) )
% 5.44/5.73 <=> ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x_27 ) @ V0s ) ) )
% 5.44/5.73 <=> ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V1x ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ A_27a ) @ V0s ) @ V2x_27 ) ) )
% 5.44/5.73 <=> ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x_27 ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ A_27a ) @ V0s ) @ V1x ) ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EEMPTY__DELETE,axiom,
% 5.44/5.73 ! [A_27a: del,V0x: $i] :
% 5.44/5.73 ( ( mem @ V0x @ A_27a )
% 5.44/5.73 => ( ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ A_27a ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) @ V0x )
% 5.44/5.73 = ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EELT__IN__DELETE,axiom,
% 5.44/5.73 ! [A_27a: del,V0x: $i] :
% 5.44/5.73 ( ( mem @ V0x @ A_27a )
% 5.44/5.73 => ! [V1s: $i] :
% 5.44/5.73 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0x ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ A_27a ) @ V1s ) @ V0x ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EDELETE__DELETE,axiom,
% 5.44/5.73 ! [A_27a: del,V0x: $i] :
% 5.44/5.73 ( ( mem @ V0x @ A_27a )
% 5.44/5.73 => ! [V1s: $i] :
% 5.44/5.73 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ A_27a ) @ V1s ) @ V0x ) ) @ V0x )
% 5.44/5.73 = ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ A_27a ) @ V1s ) @ V0x ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EDELETE__COMM,axiom,
% 5.44/5.73 ! [A_27a: del,V0x: $i] :
% 5.44/5.73 ( ( mem @ V0x @ A_27a )
% 5.44/5.73 => ! [V1y: $i] :
% 5.44/5.73 ( ( mem @ V1y @ A_27a )
% 5.44/5.73 => ! [V2s: $i] :
% 5.44/5.73 ( ( mem @ V2s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ A_27a ) @ V2s ) @ V0x ) ) @ V1y )
% 5.44/5.73 = ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ A_27a ) @ V2s ) @ V1y ) ) @ V0x ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EDELETE__SUBSET,axiom,
% 5.44/5.73 ! [A_27a: del,V0x: $i] :
% 5.44/5.73 ( ( mem @ V0x @ A_27a )
% 5.44/5.73 => ! [V1s: $i] :
% 5.44/5.73 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ A_27a ) @ V1s ) @ V0x ) ) @ V1s ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2ESUBSET__DELETE,axiom,
% 5.44/5.73 ! [A_27a: del,V0x: $i] :
% 5.44/5.73 ( ( mem @ V0x @ A_27a )
% 5.44/5.73 => ! [V1s: $i] :
% 5.44/5.73 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V2t: $i] :
% 5.44/5.73 ( ( mem @ V2t @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V1s ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ A_27a ) @ V2t ) @ V0x ) ) )
% 5.44/5.73 <=> ( ~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0x ) @ V1s ) )
% 5.44/5.73 & ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V1s ) @ V2t ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2ESUBSET__INSERT__DELETE,axiom,
% 5.44/5.73 ! [A_27a: del,V0x: $i] :
% 5.44/5.73 ( ( mem @ V0x @ A_27a )
% 5.44/5.73 => ! [V1s: $i] :
% 5.44/5.73 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V2t: $i] :
% 5.44/5.73 ( ( mem @ V2t @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V1s ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V0x ) @ V2t ) ) )
% 5.44/5.73 <=> ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ A_27a ) @ V1s ) @ V0x ) ) @ V2t ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2ESUBSET__OF__INSERT,axiom,
% 5.44/5.73 ! [A_27a: del,V0x: $i] :
% 5.44/5.73 ( ( mem @ V0x @ A_27a )
% 5.44/5.73 => ! [V1s: $i] :
% 5.44/5.73 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V1s ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V0x ) @ V1s ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EDIFF__INSERT,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1t: $i] :
% 5.44/5.73 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V2x: $i] :
% 5.44/5.73 ( ( mem @ V2x @ A_27a )
% 5.44/5.73 => ( ( ap @ ( ap @ ( c_2Epred__set_2EDIFF @ A_27a ) @ V0s ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V2x ) @ V1t ) )
% 5.44/5.73 = ( ap @ ( ap @ ( c_2Epred__set_2EDIFF @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ A_27a ) @ V0s ) @ V2x ) ) @ V1t ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EPSUBSET__INSERT__SUBSET,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1t: $i] :
% 5.44/5.73 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2EPSUBSET @ A_27a ) @ V0s ) @ V1t ) )
% 5.44/5.73 <=> ? [V2x: $i] :
% 5.44/5.73 ( ( mem @ V2x @ A_27a )
% 5.44/5.73 & ~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V0s ) )
% 5.44/5.73 & ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V2x ) @ V0s ) ) @ V1t ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EPSUBSET__MEMBER,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1t: $i] :
% 5.44/5.73 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2EPSUBSET @ A_27a ) @ V0s ) @ V1t ) )
% 5.44/5.73 <=> ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V0s ) @ V1t ) )
% 5.44/5.73 & ? [V2y: $i] :
% 5.44/5.73 ( ( mem @ V2y @ A_27a )
% 5.44/5.73 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2y ) @ V1t ) )
% 5.44/5.73 & ~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2y ) @ V0s ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EDELETE__INSERT,axiom,
% 5.44/5.73 ! [A_27a: del,V0x: $i] :
% 5.44/5.73 ( ( mem @ V0x @ A_27a )
% 5.44/5.73 => ! [V1y: $i] :
% 5.44/5.73 ( ( mem @ V1y @ A_27a )
% 5.44/5.73 => ! [V2s: $i] :
% 5.44/5.73 ( ( mem @ V2s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V0x ) @ V2s ) ) @ V1y )
% 5.44/5.73 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( arr @ A_27a @ bool ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V0x ) @ V1y ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ A_27a ) @ V2s ) @ V1y ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V0x ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ A_27a ) @ V2s ) @ V1y ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EINSERT__DELETE,axiom,
% 5.44/5.73 ! [A_27a: del,V0x: $i] :
% 5.44/5.73 ( ( mem @ V0x @ A_27a )
% 5.44/5.73 => ! [V1s: $i] :
% 5.44/5.73 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0x ) @ V1s ) )
% 5.44/5.73 => ( ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V0x ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ A_27a ) @ V1s ) @ V0x ) )
% 5.44/5.73 = V1s ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EDELETE__INTER,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1t: $i] :
% 5.44/5.73 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V2x: $i] :
% 5.44/5.73 ( ( mem @ V2x @ A_27a )
% 5.44/5.73 => ( ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ A_27a ) @ V0s ) @ V2x ) ) @ V1t )
% 5.44/5.73 = ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ V0s ) @ V1t ) ) @ V2x ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EDISJOINT__DELETE__SYM,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1t: $i] :
% 5.44/5.73 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V2x: $i] :
% 5.44/5.73 ( ( mem @ V2x @ A_27a )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2EDISJOINT @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ A_27a ) @ V0s ) @ V2x ) ) @ V1t ) )
% 5.44/5.73 <=> ( p @ ( ap @ ( ap @ ( c_2Epred__set_2EDISJOINT @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ A_27a ) @ V1t ) @ V2x ) ) @ V0s ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(ax_thm_2Epred__set_2ECHOICE__DEF,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( V0s
% 5.44/5.73 != ( c_2Epred__set_2EEMPTY @ A_27a ) )
% 5.44/5.73 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ ( ap @ ( c_2Epred__set_2ECHOICE @ A_27a ) @ V0s ) ) @ V0s ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(ax_thm_2Epred__set_2EREST__DEF,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( ap @ ( c_2Epred__set_2EREST @ A_27a ) @ V0s )
% 5.44/5.73 = ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ A_27a ) @ V0s ) @ ( ap @ ( c_2Epred__set_2ECHOICE @ A_27a ) @ V0s ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EIN__REST,axiom,
% 5.44/5.73 ! [A_27a: del,V0x: $i] :
% 5.44/5.73 ( ( mem @ V0x @ A_27a )
% 5.44/5.73 => ! [V1s: $i] :
% 5.44/5.73 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0x ) @ ( ap @ ( c_2Epred__set_2EREST @ A_27a ) @ V1s ) ) )
% 5.44/5.73 <=> ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0x ) @ V1s ) )
% 5.44/5.73 & ( V0x
% 5.44/5.73 != ( ap @ ( c_2Epred__set_2ECHOICE @ A_27a ) @ V1s ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EREST__applied,axiom,
% 5.44/5.73 ! [A_27a: del,V0x: $i] :
% 5.44/5.73 ( ( mem @ V0x @ A_27a )
% 5.44/5.73 => ! [V1s: $i] :
% 5.44/5.73 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2EREST @ A_27a ) @ V1s ) @ V0x ) )
% 5.44/5.73 <=> ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0x ) @ V1s ) )
% 5.44/5.73 & ( V0x
% 5.44/5.73 != ( ap @ ( c_2Epred__set_2ECHOICE @ A_27a ) @ V1s ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2ECHOICE__NOT__IN__REST,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ ( ap @ ( c_2Epred__set_2ECHOICE @ A_27a ) @ V0s ) ) @ ( ap @ ( c_2Epred__set_2EREST @ A_27a ) @ V0s ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2ECHOICE__INSERT__REST,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( V0s
% 5.44/5.73 != ( c_2Epred__set_2EEMPTY @ A_27a ) )
% 5.44/5.73 => ( ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ ( ap @ ( c_2Epred__set_2ECHOICE @ A_27a ) @ V0s ) ) @ ( ap @ ( c_2Epred__set_2EREST @ A_27a ) @ V0s ) )
% 5.44/5.73 = V0s ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EREST__SUBSET,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ ( ap @ ( c_2Epred__set_2EREST @ A_27a ) @ V0s ) ) @ V0s ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EREST__PSUBSET,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( V0s
% 5.44/5.73 != ( c_2Epred__set_2EEMPTY @ A_27a ) )
% 5.44/5.73 => ( p @ ( ap @ ( ap @ ( c_2Epred__set_2EPSUBSET @ A_27a ) @ ( ap @ ( c_2Epred__set_2EREST @ A_27a ) @ V0s ) ) @ V0s ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(ax_thm_2Epred__set_2ESING__DEF,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( c_2Epred__set_2ESING @ A_27a ) @ V0s ) )
% 5.44/5.73 <=> ? [V1x: $i] :
% 5.44/5.73 ( ( mem @ V1x @ A_27a )
% 5.44/5.73 & ( V0s
% 5.44/5.73 = ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V1x ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2ESING,axiom,
% 5.44/5.73 ! [A_27a: del,V0x: $i] :
% 5.44/5.73 ( ( mem @ V0x @ A_27a )
% 5.44/5.73 => ( p @ ( ap @ ( c_2Epred__set_2ESING @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V0x ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2ESING__EMPTY,axiom,
% 5.44/5.73 ! [A_27a: del] :
% 5.44/5.73 ( ( p @ ( ap @ ( c_2Epred__set_2ESING @ A_27a ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) )
% 5.44/5.73 <=> $false ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2ESING__INSERT,axiom,
% 5.44/5.73 ! [A_27a: del,V0x: $i] :
% 5.44/5.73 ( ( mem @ V0x @ A_27a )
% 5.44/5.73 => ! [V1s: $i] :
% 5.44/5.73 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( c_2Epred__set_2ESING @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V0x ) @ V1s ) ) )
% 5.44/5.73 <=> ( ( V1s
% 5.44/5.73 = ( c_2Epred__set_2EEMPTY @ A_27a ) )
% 5.44/5.73 | ( V1s
% 5.44/5.73 = ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V0x ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2ESING__UNION,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1t: $i] :
% 5.44/5.73 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( c_2Epred__set_2ESING @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ V0s ) @ V1t ) ) )
% 5.44/5.73 <=> ( ( ( p @ ( ap @ ( c_2Epred__set_2ESING @ A_27a ) @ V0s ) )
% 5.44/5.73 & ( V1t
% 5.44/5.73 = ( c_2Epred__set_2EEMPTY @ A_27a ) ) )
% 5.44/5.73 | ( ( p @ ( ap @ ( c_2Epred__set_2ESING @ A_27a ) @ V1t ) )
% 5.44/5.73 & ( V0s
% 5.44/5.73 = ( c_2Epred__set_2EEMPTY @ A_27a ) ) )
% 5.44/5.73 | ( ( p @ ( ap @ ( c_2Epred__set_2ESING @ A_27a ) @ V0s ) )
% 5.44/5.73 & ( p @ ( ap @ ( c_2Epred__set_2ESING @ A_27a ) @ V1t ) )
% 5.44/5.73 & ( V0s = V1t ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EIN__SING,axiom,
% 5.44/5.73 ! [A_27a: del,V0x: $i] :
% 5.44/5.73 ( ( mem @ V0x @ A_27a )
% 5.44/5.73 => ! [V1y: $i] :
% 5.44/5.73 ( ( mem @ V1y @ A_27a )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0x ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V1y ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) )
% 5.44/5.73 <=> ( V0x = V1y ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2ESING__applied,axiom,
% 5.44/5.73 ! [A_27a: del,V0x: $i] :
% 5.44/5.73 ( ( mem @ V0x @ A_27a )
% 5.44/5.73 => ! [V1y: $i] :
% 5.44/5.73 ( ( mem @ V1y @ A_27a )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V1y ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) @ V0x ) )
% 5.44/5.73 <=> ( V0x = V1y ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2ENOT__SING__EMPTY,axiom,
% 5.44/5.73 ! [A_27a: del,V0x: $i] :
% 5.44/5.73 ( ( mem @ V0x @ A_27a )
% 5.44/5.73 => ( ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V0x ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) )
% 5.44/5.73 != ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2ENOT__EMPTY__SING,axiom,
% 5.44/5.73 ! [A_27a: del,V0x: $i] :
% 5.44/5.73 ( ( mem @ V0x @ A_27a )
% 5.44/5.73 => ( ( c_2Epred__set_2EEMPTY @ A_27a )
% 5.44/5.73 != ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V0x ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EEQUAL__SING,axiom,
% 5.44/5.73 ! [A_27a: del,V0x: $i] :
% 5.44/5.73 ( ( mem @ V0x @ A_27a )
% 5.44/5.73 => ! [V1y: $i] :
% 5.44/5.73 ( ( mem @ V1y @ A_27a )
% 5.44/5.73 => ( ( ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V0x ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) )
% 5.44/5.73 = ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V1y ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) )
% 5.44/5.73 <=> ( V0x = V1y ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EDISJOINT__SING__EMPTY,axiom,
% 5.44/5.73 ! [A_27a: del,V0x: $i] :
% 5.44/5.73 ( ( mem @ V0x @ A_27a )
% 5.44/5.73 => ( p @ ( ap @ ( ap @ ( c_2Epred__set_2EDISJOINT @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V0x ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EINSERT__SING__UNION,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1x: $i] :
% 5.44/5.73 ( ( mem @ V1x @ A_27a )
% 5.44/5.73 => ( ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V1x ) @ V0s )
% 5.44/5.73 = ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V1x ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) @ V0s ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2ESING__DELETE,axiom,
% 5.44/5.73 ! [A_27a: del,V0x: $i] :
% 5.44/5.73 ( ( mem @ V0x @ A_27a )
% 5.44/5.73 => ( ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V0x ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) @ V0x )
% 5.44/5.73 = ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EDELETE__EQ__SING,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1x: $i] :
% 5.44/5.73 ( ( mem @ V1x @ A_27a )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V1x ) @ V0s ) )
% 5.44/5.73 => ( ( ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ A_27a ) @ V0s ) @ V1x )
% 5.44/5.73 = ( c_2Epred__set_2EEMPTY @ A_27a ) )
% 5.44/5.73 <=> ( V0s
% 5.44/5.73 = ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V1x ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2ECHOICE__SING,axiom,
% 5.44/5.73 ! [A_27a: del,V0x: $i] :
% 5.44/5.73 ( ( mem @ V0x @ A_27a )
% 5.44/5.73 => ( ( ap @ ( c_2Epred__set_2ECHOICE @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V0x ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) )
% 5.44/5.73 = V0x ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EREST__SING,axiom,
% 5.44/5.73 ! [A_27a: del,V0x: $i] :
% 5.44/5.73 ( ( mem @ V0x @ A_27a )
% 5.44/5.73 => ( ( ap @ ( c_2Epred__set_2EREST @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V0x ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) )
% 5.44/5.73 = ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2ESING__IFF__EMPTY__REST,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( c_2Epred__set_2ESING @ A_27a ) @ V0s ) )
% 5.44/5.73 <=> ( ( V0s
% 5.44/5.73 != ( c_2Epred__set_2EEMPTY @ A_27a ) )
% 5.44/5.73 & ( ( ap @ ( c_2Epred__set_2EREST @ A_27a ) @ V0s )
% 5.44/5.73 = ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(ax_thm_2Epred__set_2EIMAGE__DEF,axiom,
% 5.44/5.73 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.73 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.73 => ! [V1s: $i] :
% 5.44/5.73 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ A_27b ) @ V0f ) @ V1s )
% 5.44/5.73 = ( ap @ ( c_2Epred__set_2EGSPEC @ A_27b @ A_27a )
% 5.44/5.73 @ ( lam @ A_27a
% 5.44/5.73 @ ^ [V2x: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27b @ bool ) @ ( ap @ V0f @ V2x ) ) @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V1s ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EIN__IMAGE,axiom,
% 5.44/5.73 ! [A_27a: del,A_27b: del,V0y: $i] :
% 5.44/5.73 ( ( mem @ V0y @ A_27b )
% 5.44/5.73 => ! [V1s: $i] :
% 5.44/5.73 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V2f: $i] :
% 5.44/5.73 ( ( mem @ V2f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ V0y ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ A_27b ) @ V2f ) @ V1s ) ) )
% 5.44/5.73 <=> ? [V3x: $i] :
% 5.44/5.73 ( ( mem @ V3x @ A_27a )
% 5.44/5.73 & ( V0y
% 5.44/5.73 = ( ap @ V2f @ V3x ) )
% 5.44/5.73 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3x ) @ V1s ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EIMAGE__applied,axiom,
% 5.44/5.73 ! [A_27a: del,A_27b: del,V0y: $i] :
% 5.44/5.73 ( ( mem @ V0y @ A_27b )
% 5.44/5.73 => ! [V1s: $i] :
% 5.44/5.73 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V2f: $i] :
% 5.44/5.73 ( ( mem @ V2f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ A_27b ) @ V2f ) @ V1s ) @ V0y ) )
% 5.44/5.73 <=> ? [V3x: $i] :
% 5.44/5.73 ( ( mem @ V3x @ A_27a )
% 5.44/5.73 & ( V0y
% 5.44/5.73 = ( ap @ V2f @ V3x ) )
% 5.44/5.73 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3x ) @ V1s ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EIMAGE__IN,axiom,
% 5.44/5.73 ! [A_27a: del,A_27b: del,V0x: $i] :
% 5.44/5.73 ( ( mem @ V0x @ A_27a )
% 5.44/5.73 => ! [V1s: $i] :
% 5.44/5.73 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0x ) @ V1s ) )
% 5.44/5.73 => ! [V2f: $i] :
% 5.44/5.73 ( ( mem @ V2f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.73 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ ( ap @ V2f @ V0x ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ A_27b ) @ V2f ) @ V1s ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EIMAGE__EMPTY,axiom,
% 5.44/5.73 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.73 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.73 => ( ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ A_27b ) @ V0f ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) )
% 5.44/5.73 = ( c_2Epred__set_2EEMPTY @ A_27b ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EIMAGE__ID,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( ap
% 5.44/5.73 @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ A_27a )
% 5.44/5.73 @ ( lam @ A_27a
% 5.44/5.73 @ ^ [V1x: $i] : V1x ) )
% 5.44/5.73 @ V0s )
% 5.44/5.73 = V0s ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EIMAGE__I,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ A_27a ) @ ( c_2Ecombin_2EI @ A_27a ) ) @ V0s )
% 5.44/5.73 = V0s ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EIMAGE__II,axiom,
% 5.44/5.73 ! [A_27a: del] :
% 5.44/5.73 ( ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ A_27a ) @ ( c_2Ecombin_2EI @ A_27a ) )
% 5.44/5.73 = ( c_2Ecombin_2EI @ ( arr @ A_27a @ bool ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EIMAGE__COMPOSE,axiom,
% 5.44/5.73 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.44/5.73 ( ( mem @ V0f @ ( arr @ A_27b @ A_27c ) )
% 5.44/5.73 => ! [V1g: $i] :
% 5.44/5.73 ( ( mem @ V1g @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.73 => ! [V2s: $i] :
% 5.44/5.73 ( ( mem @ V2s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ A_27c ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27a @ A_27c @ A_27b ) @ V0f ) @ V1g ) ) @ V2s )
% 5.44/5.73 = ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27b @ A_27c ) @ V0f ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ A_27b ) @ V1g ) @ V2s ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EIMAGE__INSERT,axiom,
% 5.44/5.73 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.73 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.73 => ! [V1x: $i] :
% 5.44/5.73 ( ( mem @ V1x @ A_27a )
% 5.44/5.73 => ! [V2s: $i] :
% 5.44/5.73 ( ( mem @ V2s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ A_27b ) @ V0f ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V1x ) @ V2s ) )
% 5.44/5.73 = ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27b ) @ ( ap @ V0f @ V1x ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ A_27b ) @ V0f ) @ V2s ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EIMAGE__EQ__EMPTY,axiom,
% 5.44/5.73 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1f: $i] :
% 5.44/5.73 ( ( mem @ V1f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.73 => ( ( ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ A_27b ) @ V1f ) @ V0s )
% 5.44/5.73 = ( c_2Epred__set_2EEMPTY @ A_27b ) )
% 5.44/5.73 <=> ( V0s
% 5.44/5.73 = ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EIMAGE__DELETE,axiom,
% 5.44/5.73 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.73 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.73 => ! [V1x: $i] :
% 5.44/5.73 ( ( mem @ V1x @ A_27a )
% 5.44/5.73 => ! [V2s: $i] :
% 5.44/5.73 ( ( mem @ V2s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V1x ) @ V2s ) )
% 5.44/5.73 => ( ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ A_27b ) @ V0f ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ A_27a ) @ V2s ) @ V1x ) )
% 5.44/5.73 = ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ A_27b ) @ V0f ) @ V2s ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EIMAGE__UNION,axiom,
% 5.44/5.73 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.73 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.73 => ! [V1s: $i] :
% 5.44/5.73 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V2t: $i] :
% 5.44/5.73 ( ( mem @ V2t @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ A_27b ) @ V0f ) @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ V1s ) @ V2t ) )
% 5.44/5.73 = ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27b ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ A_27b ) @ V0f ) @ V1s ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ A_27b ) @ V0f ) @ V2t ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EIMAGE__SUBSET,axiom,
% 5.44/5.73 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1t: $i] :
% 5.44/5.73 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V0s ) @ V1t ) )
% 5.44/5.73 => ! [V2f: $i] :
% 5.44/5.73 ( ( mem @ V2f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.73 => ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27b ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ A_27b ) @ V2f ) @ V0s ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ A_27b ) @ V2f ) @ V1t ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EIMAGE__INTER,axiom,
% 5.44/5.73 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.73 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.73 => ! [V1s: $i] :
% 5.44/5.73 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V2t: $i] :
% 5.44/5.73 ( ( mem @ V2t @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27b ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ A_27b ) @ V0f ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ V1s ) @ V2t ) ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27b ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ A_27b ) @ V0f ) @ V1s ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ A_27b ) @ V0f ) @ V2t ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EIMAGE__11,axiom,
% 5.44/5.73 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.73 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.73 => ! [V1s1: $i] :
% 5.44/5.73 ( ( mem @ V1s1 @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V2s2: $i] :
% 5.44/5.73 ( ( mem @ V2s2 @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ! [V3x: $i] :
% 5.44/5.73 ( ( mem @ V3x @ A_27a )
% 5.44/5.73 => ! [V4y: $i] :
% 5.44/5.73 ( ( mem @ V4y @ A_27a )
% 5.44/5.73 => ( ( ( ap @ V0f @ V3x )
% 5.44/5.73 = ( ap @ V0f @ V4y ) )
% 5.44/5.73 <=> ( V3x = V4y ) ) ) )
% 5.44/5.73 => ( ( ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ A_27b ) @ V0f ) @ V1s1 )
% 5.44/5.73 = ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ A_27b ) @ V0f ) @ V2s2 ) )
% 5.44/5.73 <=> ( V1s1 = V2s2 ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EDISJOINT__IMAGE,axiom,
% 5.44/5.73 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.73 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.73 => ! [V1s1: $i] :
% 5.44/5.73 ( ( mem @ V1s1 @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V2s2: $i] :
% 5.44/5.73 ( ( mem @ V2s2 @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ! [V3x: $i] :
% 5.44/5.73 ( ( mem @ V3x @ A_27a )
% 5.44/5.73 => ! [V4y: $i] :
% 5.44/5.73 ( ( mem @ V4y @ A_27a )
% 5.44/5.73 => ( ( ( ap @ V0f @ V3x )
% 5.44/5.73 = ( ap @ V0f @ V4y ) )
% 5.44/5.73 <=> ( V3x = V4y ) ) ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2EDISJOINT @ A_27b ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ A_27b ) @ V0f ) @ V1s1 ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ A_27b ) @ V0f ) @ V2s2 ) ) )
% 5.44/5.73 <=> ( p @ ( ap @ ( ap @ ( c_2Epred__set_2EDISJOINT @ A_27a ) @ V1s1 ) @ V2s2 ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EIMAGE__CONG,axiom,
% 5.44/5.73 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.73 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.73 => ! [V1s: $i] :
% 5.44/5.73 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V2f_27: $i] :
% 5.44/5.73 ( ( mem @ V2f_27 @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.73 => ! [V3s_27: $i] :
% 5.44/5.73 ( ( mem @ V3s_27 @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( ( V1s = V3s_27 )
% 5.44/5.73 & ! [V4x: $i] :
% 5.44/5.73 ( ( mem @ V4x @ A_27a )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V4x ) @ V3s_27 ) )
% 5.44/5.73 => ( ( ap @ V0f @ V4x )
% 5.44/5.73 = ( ap @ V2f_27 @ V4x ) ) ) ) )
% 5.44/5.73 => ( ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ A_27b ) @ V0f ) @ V1s )
% 5.44/5.73 = ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ A_27b ) @ V2f_27 ) @ V3s_27 ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EGSPEC__IMAGE,axiom,
% 5.44/5.73 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.73 ( ( mem @ V0f @ ( arr @ A_27b @ ( ty_2Epair_2Eprod @ A_27a @ bool ) ) )
% 5.44/5.73 => ( ( ap @ ( c_2Epred__set_2EGSPEC @ A_27a @ A_27b ) @ V0f )
% 5.44/5.73 = ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27b @ A_27a ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ A_27a @ ( ty_2Epair_2Eprod @ A_27a @ bool ) ) @ ( c_2Epair_2EFST @ A_27a @ bool ) ) @ V0f ) ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ bool @ ( ty_2Epair_2Eprod @ A_27a @ bool ) ) @ ( c_2Epair_2ESND @ A_27a @ bool ) ) @ V0f ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EIMAGE__IMAGE,axiom,
% 5.44/5.73 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.44/5.73 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.73 => ! [V1g: $i] :
% 5.44/5.73 ( ( mem @ V1g @ ( arr @ A_27c @ A_27a ) )
% 5.44/5.73 => ! [V2s: $i] :
% 5.44/5.73 ( ( mem @ V2s @ ( arr @ A_27c @ bool ) )
% 5.44/5.73 => ( ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ A_27b ) @ V0f ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27c @ A_27a ) @ V1g ) @ V2s ) )
% 5.44/5.73 = ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27c @ A_27b ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27c @ A_27b @ A_27a ) @ V0f ) @ V1g ) ) @ V2s ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EFORALL__IN__IMAGE,axiom,
% 5.44/5.73 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.44/5.73 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1f: $i] :
% 5.44/5.73 ( ( mem @ V1f @ ( arr @ A_27b @ A_27a ) )
% 5.44/5.73 => ! [V2s: $i] :
% 5.44/5.73 ( ( mem @ V2s @ ( arr @ A_27b @ bool ) )
% 5.44/5.73 => ( ! [V3y: $i] :
% 5.44/5.73 ( ( mem @ V3y @ A_27a )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3y ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27b @ A_27a ) @ V1f ) @ V2s ) ) )
% 5.44/5.73 => ( p @ ( ap @ V0P @ V3y ) ) ) )
% 5.44/5.73 <=> ! [V4x: $i] :
% 5.44/5.73 ( ( mem @ V4x @ A_27b )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ V4x ) @ V2s ) )
% 5.44/5.73 => ( p @ ( ap @ V0P @ ( ap @ V1f @ V4x ) ) ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EEXISTS__IN__IMAGE,axiom,
% 5.44/5.73 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.44/5.73 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1f: $i] :
% 5.44/5.73 ( ( mem @ V1f @ ( arr @ A_27b @ A_27a ) )
% 5.44/5.73 => ! [V2s: $i] :
% 5.44/5.73 ( ( mem @ V2s @ ( arr @ A_27b @ bool ) )
% 5.44/5.73 => ( ? [V3y: $i] :
% 5.44/5.73 ( ( mem @ V3y @ A_27a )
% 5.44/5.73 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3y ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27b @ A_27a ) @ V1f ) @ V2s ) ) )
% 5.44/5.73 & ( p @ ( ap @ V0P @ V3y ) ) )
% 5.44/5.73 <=> ? [V4x: $i] :
% 5.44/5.73 ( ( mem @ V4x @ A_27b )
% 5.44/5.73 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ V4x ) @ V2s ) )
% 5.44/5.73 & ( p @ ( ap @ V0P @ ( ap @ V1f @ V4x ) ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(ax_thm_2Epred__set_2EINJ__DEF,axiom,
% 5.44/5.73 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.73 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.73 => ! [V1s: $i] :
% 5.44/5.73 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V2t: $i] :
% 5.44/5.73 ( ( mem @ V2t @ ( arr @ A_27b @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EINJ @ A_27a @ A_27b ) @ V0f ) @ V1s ) @ V2t ) )
% 5.44/5.73 <=> ( ! [V3x: $i] :
% 5.44/5.73 ( ( mem @ V3x @ A_27a )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3x ) @ V1s ) )
% 5.44/5.73 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ ( ap @ V0f @ V3x ) ) @ V2t ) ) ) )
% 5.44/5.73 & ! [V4x: $i] :
% 5.44/5.73 ( ( mem @ V4x @ A_27a )
% 5.44/5.73 => ! [V5y: $i] :
% 5.44/5.73 ( ( mem @ V5y @ A_27a )
% 5.44/5.73 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V4x ) @ V1s ) )
% 5.44/5.73 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V5y ) @ V1s ) ) )
% 5.44/5.73 => ( ( ( ap @ V0f @ V4x )
% 5.44/5.73 = ( ap @ V0f @ V5y ) )
% 5.44/5.73 => ( V4x = V5y ) ) ) ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EINJ__IFF,axiom,
% 5.44/5.73 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.73 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.73 => ! [V1s: $i] :
% 5.44/5.73 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V2t: $i] :
% 5.44/5.73 ( ( mem @ V2t @ ( arr @ A_27b @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EINJ @ A_27a @ A_27b ) @ V0f ) @ V1s ) @ V2t ) )
% 5.44/5.73 <=> ( ! [V3x: $i] :
% 5.44/5.73 ( ( mem @ V3x @ A_27a )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3x ) @ V1s ) )
% 5.44/5.73 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ ( ap @ V0f @ V3x ) ) @ V2t ) ) ) )
% 5.44/5.73 & ! [V4x: $i] :
% 5.44/5.73 ( ( mem @ V4x @ A_27a )
% 5.44/5.73 => ! [V5y: $i] :
% 5.44/5.73 ( ( mem @ V5y @ A_27a )
% 5.44/5.73 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V4x ) @ V1s ) )
% 5.44/5.73 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V5y ) @ V1s ) ) )
% 5.44/5.73 => ( ( ( ap @ V0f @ V4x )
% 5.44/5.73 = ( ap @ V0f @ V5y ) )
% 5.44/5.73 <=> ( V4x = V5y ) ) ) ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EINJ__ID,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( p
% 5.44/5.73 @ ( ap
% 5.44/5.73 @ ( ap
% 5.44/5.73 @ ( ap @ ( c_2Epred__set_2EINJ @ A_27a @ A_27a )
% 5.44/5.73 @ ( lam @ A_27a
% 5.44/5.73 @ ^ [V1x: $i] : V1x ) )
% 5.44/5.73 @ V0s )
% 5.44/5.73 @ V0s ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EINJ__COMPOSE,axiom,
% 5.44/5.73 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.44/5.73 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.73 => ! [V1g: $i] :
% 5.44/5.73 ( ( mem @ V1g @ ( arr @ A_27b @ A_27c ) )
% 5.44/5.73 => ! [V2s: $i] :
% 5.44/5.73 ( ( mem @ V2s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V3t: $i] :
% 5.44/5.73 ( ( mem @ V3t @ ( arr @ A_27b @ bool ) )
% 5.44/5.73 => ! [V4u: $i] :
% 5.44/5.73 ( ( mem @ V4u @ ( arr @ A_27c @ bool ) )
% 5.44/5.73 => ( ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EINJ @ A_27a @ A_27b ) @ V0f ) @ V2s ) @ V3t ) )
% 5.44/5.73 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EINJ @ A_27b @ A_27c ) @ V1g ) @ V3t ) @ V4u ) ) )
% 5.44/5.73 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EINJ @ A_27a @ A_27c ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27a @ A_27c @ A_27b ) @ V1g ) @ V0f ) ) @ V2s ) @ V4u ) ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EINJ__EMPTY,axiom,
% 5.44/5.73 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.73 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.73 => ( ! [V1s: $i] :
% 5.44/5.73 ( ( mem @ V1s @ ( arr @ A_27b @ bool ) )
% 5.44/5.73 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EINJ @ A_27a @ A_27b ) @ V0f ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) @ V1s ) ) )
% 5.44/5.73 & ! [V2s: $i] :
% 5.44/5.73 ( ( mem @ V2s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EINJ @ A_27a @ A_27b ) @ V0f ) @ V2s ) @ ( c_2Epred__set_2EEMPTY @ A_27b ) ) )
% 5.44/5.73 <=> ( V2s
% 5.44/5.73 = ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EINJ__DELETE,axiom,
% 5.44/5.73 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1t: $i] :
% 5.44/5.73 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.44/5.73 => ! [V2f: $i] :
% 5.44/5.73 ( ( mem @ V2f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EINJ @ A_27a @ A_27b ) @ V2f ) @ V0s ) @ V1t ) )
% 5.44/5.73 => ! [V3e: $i] :
% 5.44/5.73 ( ( mem @ V3e @ A_27a )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3e ) @ V0s ) )
% 5.44/5.73 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EINJ @ A_27a @ A_27b ) @ V2f ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ A_27a ) @ V0s ) @ V3e ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ A_27b ) @ V1t ) @ ( ap @ V2f @ V3e ) ) ) ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EINJ__INSERT,axiom,
% 5.44/5.73 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.73 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.73 => ! [V1x: $i] :
% 5.44/5.73 ( ( mem @ V1x @ A_27a )
% 5.44/5.73 => ! [V2s: $i] :
% 5.44/5.73 ( ( mem @ V2s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V3t: $i] :
% 5.44/5.73 ( ( mem @ V3t @ ( arr @ A_27b @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EINJ @ A_27a @ A_27b ) @ V0f ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V1x ) @ V2s ) ) @ V3t ) )
% 5.44/5.73 <=> ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EINJ @ A_27a @ A_27b ) @ V0f ) @ V2s ) @ V3t ) )
% 5.44/5.73 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ ( ap @ V0f @ V1x ) ) @ V3t ) )
% 5.44/5.73 & ! [V4y: $i] :
% 5.44/5.73 ( ( mem @ V4y @ A_27a )
% 5.44/5.73 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V4y ) @ V2s ) )
% 5.44/5.73 & ( ( ap @ V0f @ V1x )
% 5.44/5.73 = ( ap @ V0f @ V4y ) ) )
% 5.44/5.73 => ( V1x = V4y ) ) ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EINJ__EXTEND,axiom,
% 5.44/5.73 ! [A_27a: del,A_27b: del,V0b: $i] :
% 5.44/5.73 ( ( mem @ V0b @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.73 => ! [V1s: $i] :
% 5.44/5.73 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V2t: $i] :
% 5.44/5.73 ( ( mem @ V2t @ ( arr @ A_27b @ bool ) )
% 5.44/5.73 => ! [V3x: $i] :
% 5.44/5.73 ( ( mem @ V3x @ A_27a )
% 5.44/5.73 => ! [V4y: $i] :
% 5.44/5.73 ( ( mem @ V4y @ A_27b )
% 5.44/5.73 => ( ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EINJ @ A_27a @ A_27b ) @ V0b ) @ V1s ) @ V2t ) )
% 5.44/5.73 & ~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3x ) @ V1s ) )
% 5.44/5.73 & ~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ V4y ) @ V2t ) ) )
% 5.44/5.73 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EINJ @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( ap @ ( c_2Ecombin_2EUPDATE @ A_27a @ A_27b ) @ V3x ) @ V4y ) @ V0b ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V3x ) @ V1s ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27b ) @ V4y ) @ V2t ) ) ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EINJ__SUBSET,axiom,
% 5.44/5.73 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.73 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.73 => ! [V1s: $i] :
% 5.44/5.73 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V2t: $i] :
% 5.44/5.73 ( ( mem @ V2t @ ( arr @ A_27b @ bool ) )
% 5.44/5.73 => ! [V3s0: $i] :
% 5.44/5.73 ( ( mem @ V3s0 @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V4t0: $i] :
% 5.44/5.73 ( ( mem @ V4t0 @ ( arr @ A_27b @ bool ) )
% 5.44/5.73 => ( ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EINJ @ A_27a @ A_27b ) @ V0f ) @ V1s ) @ V2t ) )
% 5.44/5.73 & ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V3s0 ) @ V1s ) )
% 5.44/5.73 & ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27b ) @ V2t ) @ V4t0 ) ) )
% 5.44/5.73 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EINJ @ A_27a @ A_27b ) @ V0f ) @ V3s0 ) @ V4t0 ) ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EINJ__IMAGE,axiom,
% 5.44/5.73 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.73 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.73 => ! [V1s: $i] :
% 5.44/5.73 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V2t: $i] :
% 5.44/5.73 ( ( mem @ V2t @ ( arr @ A_27b @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EINJ @ A_27a @ A_27b ) @ V0f ) @ V1s ) @ V2t ) )
% 5.44/5.73 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EINJ @ A_27a @ A_27b ) @ V0f ) @ V1s ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ A_27b ) @ V0f ) @ V1s ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EINJ__IMAGE__SUBSET,axiom,
% 5.44/5.73 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.73 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.73 => ! [V1s: $i] :
% 5.44/5.73 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V2t: $i] :
% 5.44/5.73 ( ( mem @ V2t @ ( arr @ A_27b @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EINJ @ A_27a @ A_27b ) @ V0f ) @ V1s ) @ V2t ) )
% 5.44/5.73 => ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27b ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ A_27b ) @ V0f ) @ V1s ) ) @ V2t ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(ax_thm_2Epred__set_2ESURJ__DEF,axiom,
% 5.44/5.73 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.73 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.73 => ! [V1s: $i] :
% 5.44/5.73 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V2t: $i] :
% 5.44/5.73 ( ( mem @ V2t @ ( arr @ A_27b @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2ESURJ @ A_27a @ A_27b ) @ V0f ) @ V1s ) @ V2t ) )
% 5.44/5.73 <=> ( ! [V3x: $i] :
% 5.44/5.73 ( ( mem @ V3x @ A_27a )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3x ) @ V1s ) )
% 5.44/5.73 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ ( ap @ V0f @ V3x ) ) @ V2t ) ) ) )
% 5.44/5.73 & ! [V4x: $i] :
% 5.44/5.73 ( ( mem @ V4x @ A_27b )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ V4x ) @ V2t ) )
% 5.44/5.73 => ? [V5y: $i] :
% 5.44/5.73 ( ( mem @ V5y @ A_27a )
% 5.44/5.73 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V5y ) @ V1s ) )
% 5.44/5.73 & ( ( ap @ V0f @ V5y )
% 5.44/5.73 = V4x ) ) ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2ESURJ__ID,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( p
% 5.44/5.73 @ ( ap
% 5.44/5.73 @ ( ap
% 5.44/5.73 @ ( ap @ ( c_2Epred__set_2ESURJ @ A_27a @ A_27a )
% 5.44/5.73 @ ( lam @ A_27a
% 5.44/5.73 @ ^ [V1x: $i] : V1x ) )
% 5.44/5.73 @ V0s )
% 5.44/5.73 @ V0s ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2ESURJ__COMPOSE,axiom,
% 5.44/5.73 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.44/5.73 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.73 => ! [V1g: $i] :
% 5.44/5.73 ( ( mem @ V1g @ ( arr @ A_27b @ A_27c ) )
% 5.44/5.73 => ! [V2s: $i] :
% 5.44/5.73 ( ( mem @ V2s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V3t: $i] :
% 5.44/5.73 ( ( mem @ V3t @ ( arr @ A_27b @ bool ) )
% 5.44/5.73 => ! [V4u: $i] :
% 5.44/5.73 ( ( mem @ V4u @ ( arr @ A_27c @ bool ) )
% 5.44/5.73 => ( ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2ESURJ @ A_27a @ A_27b ) @ V0f ) @ V2s ) @ V3t ) )
% 5.44/5.73 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2ESURJ @ A_27b @ A_27c ) @ V1g ) @ V3t ) @ V4u ) ) )
% 5.44/5.73 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2ESURJ @ A_27a @ A_27c ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27a @ A_27c @ A_27b ) @ V1g ) @ V0f ) ) @ V2s ) @ V4u ) ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2ESURJ__EMPTY,axiom,
% 5.44/5.73 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.73 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.73 => ( ! [V1s: $i] :
% 5.44/5.73 ( ( mem @ V1s @ ( arr @ A_27b @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2ESURJ @ A_27a @ A_27b ) @ V0f ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) @ V1s ) )
% 5.44/5.73 <=> ( V1s
% 5.44/5.73 = ( c_2Epred__set_2EEMPTY @ A_27b ) ) ) )
% 5.44/5.73 & ! [V2s: $i] :
% 5.44/5.73 ( ( mem @ V2s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2ESURJ @ A_27a @ A_27b ) @ V0f ) @ V2s ) @ ( c_2Epred__set_2EEMPTY @ A_27b ) ) )
% 5.44/5.73 <=> ( V2s
% 5.44/5.73 = ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EIMAGE__SURJ,axiom,
% 5.44/5.73 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.73 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.73 => ! [V1s: $i] :
% 5.44/5.73 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V2t: $i] :
% 5.44/5.73 ( ( mem @ V2t @ ( arr @ A_27b @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2ESURJ @ A_27a @ A_27b ) @ V0f ) @ V1s ) @ V2t ) )
% 5.44/5.73 <=> ( ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ A_27b ) @ V0f ) @ V1s )
% 5.44/5.73 = V2t ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2ESURJ__IMAGE,axiom,
% 5.44/5.73 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.73 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.73 => ! [V1s: $i] :
% 5.44/5.73 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2ESURJ @ A_27a @ A_27b ) @ V0f ) @ V1s ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ A_27b ) @ V0f ) @ V1s ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2ESURJ__IMP__INJ,axiom,
% 5.44/5.73 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1t: $i] :
% 5.44/5.73 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.44/5.73 => ( ? [V2f: $i] :
% 5.44/5.73 ( ( mem @ V2f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.73 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2ESURJ @ A_27a @ A_27b ) @ V2f ) @ V0s ) @ V1t ) ) )
% 5.44/5.73 => ? [V3g: $i] :
% 5.44/5.73 ( ( mem @ V3g @ ( arr @ A_27b @ A_27a ) )
% 5.44/5.73 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EINJ @ A_27b @ A_27a ) @ V3g ) @ V1t ) @ V0s ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(ax_thm_2Epred__set_2EBIJ__DEF,axiom,
% 5.44/5.73 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.73 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.73 => ! [V1s: $i] :
% 5.44/5.73 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V2t: $i] :
% 5.44/5.73 ( ( mem @ V2t @ ( arr @ A_27b @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EBIJ @ A_27a @ A_27b ) @ V0f ) @ V1s ) @ V2t ) )
% 5.44/5.73 <=> ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EINJ @ A_27a @ A_27b ) @ V0f ) @ V1s ) @ V2t ) )
% 5.44/5.73 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2ESURJ @ A_27a @ A_27b ) @ V0f ) @ V1s ) @ V2t ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EBIJ__ID,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( p
% 5.44/5.73 @ ( ap
% 5.44/5.73 @ ( ap
% 5.44/5.73 @ ( ap @ ( c_2Epred__set_2EBIJ @ A_27a @ A_27a )
% 5.44/5.73 @ ( lam @ A_27a
% 5.44/5.73 @ ^ [V1x: $i] : V1x ) )
% 5.44/5.73 @ V0s )
% 5.44/5.73 @ V0s ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EBIJ__IMP__11,axiom,
% 5.44/5.73 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.73 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EBIJ @ A_27a @ A_27b ) @ V0f ) @ ( c_2Epred__set_2EUNIV @ A_27a ) ) @ ( c_2Epred__set_2EUNIV @ A_27b ) ) )
% 5.44/5.73 => ! [V1x: $i] :
% 5.44/5.73 ( ( mem @ V1x @ A_27a )
% 5.44/5.73 => ! [V2y: $i] :
% 5.44/5.73 ( ( mem @ V2y @ A_27a )
% 5.44/5.73 => ( ( ( ap @ V0f @ V1x )
% 5.44/5.73 = ( ap @ V0f @ V2y ) )
% 5.44/5.73 <=> ( V1x = V2y ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EBIJ__EMPTY,axiom,
% 5.44/5.73 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.73 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.73 => ( ! [V1s: $i] :
% 5.44/5.73 ( ( mem @ V1s @ ( arr @ A_27b @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EBIJ @ A_27a @ A_27b ) @ V0f ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) @ V1s ) )
% 5.44/5.73 <=> ( V1s
% 5.44/5.73 = ( c_2Epred__set_2EEMPTY @ A_27b ) ) ) )
% 5.44/5.73 & ! [V2s: $i] :
% 5.44/5.73 ( ( mem @ V2s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EBIJ @ A_27a @ A_27b ) @ V0f ) @ V2s ) @ ( c_2Epred__set_2EEMPTY @ A_27b ) ) )
% 5.44/5.73 <=> ( V2s
% 5.44/5.73 = ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EBIJ__COMPOSE,axiom,
% 5.44/5.73 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.44/5.73 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.73 => ! [V1g: $i] :
% 5.44/5.73 ( ( mem @ V1g @ ( arr @ A_27b @ A_27c ) )
% 5.44/5.73 => ! [V2s: $i] :
% 5.44/5.73 ( ( mem @ V2s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V3t: $i] :
% 5.44/5.73 ( ( mem @ V3t @ ( arr @ A_27b @ bool ) )
% 5.44/5.73 => ! [V4u: $i] :
% 5.44/5.73 ( ( mem @ V4u @ ( arr @ A_27c @ bool ) )
% 5.44/5.73 => ( ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EBIJ @ A_27a @ A_27b ) @ V0f ) @ V2s ) @ V3t ) )
% 5.44/5.73 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EBIJ @ A_27b @ A_27c ) @ V1g ) @ V3t ) @ V4u ) ) )
% 5.44/5.73 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EBIJ @ A_27a @ A_27c ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27a @ A_27c @ A_27b ) @ V1g ) @ V0f ) ) @ V2s ) @ V4u ) ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EBIJ__DELETE,axiom,
% 5.44/5.73 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1t: $i] :
% 5.44/5.73 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.44/5.73 => ! [V2f: $i] :
% 5.44/5.73 ( ( mem @ V2f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EBIJ @ A_27a @ A_27b ) @ V2f ) @ V0s ) @ V1t ) )
% 5.44/5.73 => ! [V3e: $i] :
% 5.44/5.73 ( ( mem @ V3e @ A_27a )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3e ) @ V0s ) )
% 5.44/5.73 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EBIJ @ A_27a @ A_27b ) @ V2f ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ A_27a ) @ V0s ) @ V3e ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ A_27b ) @ V1t ) @ ( ap @ V2f @ V3e ) ) ) ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EINJ__IMAGE__BIJ,axiom,
% 5.44/5.73 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1f: $i] :
% 5.44/5.73 ( ( mem @ V1f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.73 => ( ? [V2t: $i] :
% 5.44/5.73 ( ( mem @ V2t @ ( arr @ A_27b @ bool ) )
% 5.44/5.73 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EINJ @ A_27a @ A_27b ) @ V1f ) @ V0s ) @ V2t ) ) )
% 5.44/5.73 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EBIJ @ A_27a @ A_27b ) @ V1f ) @ V0s ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ A_27b ) @ V1f ) @ V0s ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EINJ__BIJ__SUBSET,axiom,
% 5.44/5.73 ! [A_27a: del,A_27b: del,V0s0: $i] :
% 5.44/5.73 ( ( mem @ V0s0 @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1s: $i] :
% 5.44/5.73 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V2f: $i] :
% 5.44/5.73 ( ( mem @ V2f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.73 => ! [V3t: $i] :
% 5.44/5.73 ( ( mem @ V3t @ ( arr @ A_27b @ bool ) )
% 5.44/5.73 => ( ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V0s0 ) @ V1s ) )
% 5.44/5.73 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EINJ @ A_27a @ A_27b ) @ V2f ) @ V1s ) @ V3t ) ) )
% 5.44/5.73 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EBIJ @ A_27a @ A_27b ) @ V2f ) @ V0s0 ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ A_27b ) @ V2f ) @ V0s0 ) ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EBIJ__SYM__IMP,axiom,
% 5.44/5.73 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1t: $i] :
% 5.44/5.73 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.44/5.73 => ( ? [V2f: $i] :
% 5.44/5.73 ( ( mem @ V2f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.73 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EBIJ @ A_27a @ A_27b ) @ V2f ) @ V0s ) @ V1t ) ) )
% 5.44/5.73 => ? [V3g: $i] :
% 5.44/5.73 ( ( mem @ V3g @ ( arr @ A_27b @ A_27a ) )
% 5.44/5.73 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EBIJ @ A_27b @ A_27a ) @ V3g ) @ V1t ) @ V0s ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EBIJ__SYM,axiom,
% 5.44/5.73 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1t: $i] :
% 5.44/5.73 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.44/5.73 => ( ? [V2f: $i] :
% 5.44/5.73 ( ( mem @ V2f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.73 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EBIJ @ A_27a @ A_27b ) @ V2f ) @ V0s ) @ V1t ) ) )
% 5.44/5.73 <=> ? [V3g: $i] :
% 5.44/5.73 ( ( mem @ V3g @ ( arr @ A_27b @ A_27a ) )
% 5.44/5.73 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EBIJ @ A_27b @ A_27a ) @ V3g ) @ V1t ) @ V0s ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EBIJ__TRANS,axiom,
% 5.44/5.73 ! [A_27a: del,A_27b: del,A_27c: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1t: $i] :
% 5.44/5.73 ( ( mem @ V1t @ ( arr @ A_27c @ bool ) )
% 5.44/5.73 => ! [V2u: $i] :
% 5.44/5.73 ( ( mem @ V2u @ ( arr @ A_27b @ bool ) )
% 5.44/5.73 => ( ( ? [V3f: $i] :
% 5.44/5.73 ( ( mem @ V3f @ ( arr @ A_27a @ A_27c ) )
% 5.44/5.73 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EBIJ @ A_27a @ A_27c ) @ V3f ) @ V0s ) @ V1t ) ) )
% 5.44/5.73 & ? [V4g: $i] :
% 5.44/5.73 ( ( mem @ V4g @ ( arr @ A_27c @ A_27b ) )
% 5.44/5.73 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EBIJ @ A_27c @ A_27b ) @ V4g ) @ V1t ) @ V2u ) ) ) )
% 5.44/5.73 => ? [V5h: $i] :
% 5.44/5.73 ( ( mem @ V5h @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.73 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EBIJ @ A_27a @ A_27b ) @ V5h ) @ V0s ) @ V2u ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EBIJ__INV,axiom,
% 5.44/5.73 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.73 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.73 => ! [V1s: $i] :
% 5.44/5.73 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V2t: $i] :
% 5.44/5.73 ( ( mem @ V2t @ ( arr @ A_27b @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EBIJ @ A_27a @ A_27b ) @ V0f ) @ V1s ) @ V2t ) )
% 5.44/5.73 => ? [V3g: $i] :
% 5.44/5.73 ( ( mem @ V3g @ ( arr @ A_27b @ A_27a ) )
% 5.44/5.73 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EBIJ @ A_27b @ A_27a ) @ V3g ) @ V2t ) @ V1s ) )
% 5.44/5.73 & ! [V4x: $i] :
% 5.44/5.73 ( ( mem @ V4x @ A_27a )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V4x ) @ V1s ) )
% 5.44/5.73 => ( ( ap @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27a @ A_27a @ A_27b ) @ V3g ) @ V0f ) @ V4x )
% 5.44/5.73 = V4x ) ) )
% 5.44/5.73 & ! [V5x: $i] :
% 5.44/5.73 ( ( mem @ V5x @ A_27b )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ V5x ) @ V2t ) )
% 5.44/5.73 => ( ( ap @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ A_27b @ A_27a ) @ V0f ) @ V3g ) @ V5x )
% 5.44/5.73 = V5x ) ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(ax_thm_2Epred__set_2EFUNSET,axiom,
% 5.44/5.73 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.44/5.73 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1Q: $i] :
% 5.44/5.73 ( ( mem @ V1Q @ ( arr @ A_27b @ bool ) )
% 5.44/5.73 => ( ( ap @ ( ap @ ( c_2Epred__set_2EFUNSET @ A_27a @ A_27b ) @ V0P ) @ V1Q )
% 5.44/5.73 = ( lam @ ( arr @ A_27a @ A_27b )
% 5.44/5.73 @ ^ [V2f: $i] :
% 5.44/5.73 ( ap @ ( c_2Ebool_2E_21 @ A_27a )
% 5.44/5.73 @ ( lam @ A_27a
% 5.44/5.73 @ ^ [V3x: $i] : ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3x ) @ V0P ) ) @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ ( ap @ V2f @ V3x ) ) @ V1Q ) ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(ax_thm_2Epred__set_2EDFUNSET,axiom,
% 5.44/5.73 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.44/5.73 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1Q: $i] :
% 5.44/5.73 ( ( mem @ V1Q @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.73 => ( ( ap @ ( ap @ ( c_2Epred__set_2EDFUNSET @ A_27a @ A_27b ) @ V0P ) @ V1Q )
% 5.44/5.73 = ( lam @ ( arr @ A_27a @ A_27b )
% 5.44/5.73 @ ^ [V2f: $i] :
% 5.44/5.73 ( ap @ ( c_2Ebool_2E_21 @ A_27a )
% 5.44/5.73 @ ( lam @ A_27a
% 5.44/5.73 @ ^ [V3x: $i] : ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3x ) @ V0P ) ) @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ ( ap @ V2f @ V3x ) ) @ ( ap @ V1Q @ V3x ) ) ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EIN__FUNSET,axiom,
% 5.44/5.73 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.73 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.73 => ! [V1P: $i] :
% 5.44/5.73 ( ( mem @ V1P @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V2Q: $i] :
% 5.44/5.73 ( ( mem @ V2Q @ ( arr @ A_27b @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( arr @ A_27a @ A_27b ) ) @ V0f ) @ ( ap @ ( ap @ ( c_2Epred__set_2EFUNSET @ A_27a @ A_27b ) @ V1P ) @ V2Q ) ) )
% 5.44/5.73 <=> ! [V3x: $i] :
% 5.44/5.73 ( ( mem @ V3x @ A_27a )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3x ) @ V1P ) )
% 5.44/5.73 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ ( ap @ V0f @ V3x ) ) @ V2Q ) ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EFUNSET__applied,axiom,
% 5.44/5.73 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.73 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.73 => ! [V1P: $i] :
% 5.44/5.73 ( ( mem @ V1P @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V2Q: $i] :
% 5.44/5.73 ( ( mem @ V2Q @ ( arr @ A_27b @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EFUNSET @ A_27a @ A_27b ) @ V1P ) @ V2Q ) @ V0f ) )
% 5.44/5.73 <=> ! [V3x: $i] :
% 5.44/5.73 ( ( mem @ V3x @ A_27a )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3x ) @ V1P ) )
% 5.44/5.73 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ ( ap @ V0f @ V3x ) ) @ V2Q ) ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EIN__DFUNSET,axiom,
% 5.44/5.73 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.73 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.73 => ! [V1P: $i] :
% 5.44/5.73 ( ( mem @ V1P @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V2Q: $i] :
% 5.44/5.73 ( ( mem @ V2Q @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( arr @ A_27a @ A_27b ) ) @ V0f ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDFUNSET @ A_27a @ A_27b ) @ V1P ) @ V2Q ) ) )
% 5.44/5.73 <=> ! [V3x: $i] :
% 5.44/5.73 ( ( mem @ V3x @ A_27a )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3x ) @ V1P ) )
% 5.44/5.73 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ ( ap @ V0f @ V3x ) ) @ ( ap @ V2Q @ V3x ) ) ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EDFUNSET__applied,axiom,
% 5.44/5.73 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.73 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.73 => ! [V1P: $i] :
% 5.44/5.73 ( ( mem @ V1P @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V2Q: $i] :
% 5.44/5.73 ( ( mem @ V2Q @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EDFUNSET @ A_27a @ A_27b ) @ V1P ) @ V2Q ) @ V0f ) )
% 5.44/5.73 <=> ! [V3x: $i] :
% 5.44/5.73 ( ( mem @ V3x @ A_27a )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3x ) @ V1P ) )
% 5.44/5.73 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ ( ap @ V0f @ V3x ) ) @ ( ap @ V2Q @ V3x ) ) ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EFUNSET__THM,axiom,
% 5.44/5.73 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1t: $i] :
% 5.44/5.73 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.44/5.73 => ! [V2f: $i] :
% 5.44/5.73 ( ( mem @ V2f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.73 => ! [V3x: $i] :
% 5.44/5.73 ( ( mem @ V3x @ A_27a )
% 5.44/5.73 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( arr @ A_27a @ A_27b ) ) @ V2f ) @ ( ap @ ( ap @ ( c_2Epred__set_2EFUNSET @ A_27a @ A_27b ) @ V0s ) @ V1t ) ) )
% 5.44/5.73 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3x ) @ V0s ) ) )
% 5.44/5.73 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ ( ap @ V2f @ V3x ) ) @ V1t ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EUNIV__FUNSET__UNIV,axiom,
% 5.44/5.73 ! [A_27a: del,A_27b: del] :
% 5.44/5.73 ( ( ap @ ( ap @ ( c_2Epred__set_2EFUNSET @ A_27a @ A_27b ) @ ( c_2Epred__set_2EUNIV @ A_27a ) ) @ ( c_2Epred__set_2EUNIV @ A_27b ) )
% 5.44/5.73 = ( c_2Epred__set_2EUNIV @ ( arr @ A_27a @ A_27b ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EFUNSET__DFUNSET,axiom,
% 5.44/5.73 ! [A_27a: del,A_27b: del,V0x: $i] :
% 5.44/5.73 ( ( mem @ V0x @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1y: $i] :
% 5.44/5.73 ( ( mem @ V1y @ ( arr @ A_27b @ bool ) )
% 5.44/5.73 => ( ( ap @ ( ap @ ( c_2Epred__set_2EFUNSET @ A_27a @ A_27b ) @ V0x ) @ V1y )
% 5.44/5.73 = ( ap @ ( ap @ ( c_2Epred__set_2EDFUNSET @ A_27a @ A_27b ) @ V0x ) @ ( ap @ ( c_2Ecombin_2EK @ ( arr @ A_27b @ bool ) @ A_27a ) @ V1y ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EEMPTY__FUNSET,axiom,
% 5.44/5.73 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27b @ bool ) )
% 5.44/5.73 => ( ( ap @ ( ap @ ( c_2Epred__set_2EFUNSET @ A_27a @ A_27b ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) @ V0s )
% 5.44/5.73 = ( c_2Epred__set_2EUNIV @ ( arr @ A_27a @ A_27b ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EFUNSET__EMPTY,axiom,
% 5.44/5.73 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1f: $i] :
% 5.44/5.73 ( ( mem @ V1f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( arr @ A_27a @ A_27b ) ) @ V1f ) @ ( ap @ ( ap @ ( c_2Epred__set_2EFUNSET @ A_27a @ A_27b ) @ V0s ) @ ( c_2Epred__set_2EEMPTY @ A_27b ) ) ) )
% 5.44/5.73 <=> ( V0s
% 5.44/5.73 = ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EFUNSET__INTER,axiom,
% 5.44/5.73 ! [A_27a: del,A_27b: del,V0a: $i] :
% 5.44/5.73 ( ( mem @ V0a @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1b: $i] :
% 5.44/5.73 ( ( mem @ V1b @ ( arr @ A_27b @ bool ) )
% 5.44/5.73 => ! [V2c: $i] :
% 5.44/5.73 ( ( mem @ V2c @ ( arr @ A_27b @ bool ) )
% 5.44/5.73 => ( ( ap @ ( ap @ ( c_2Epred__set_2EFUNSET @ A_27a @ A_27b ) @ V0a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27b ) @ V1b ) @ V2c ) )
% 5.44/5.73 = ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ ( arr @ A_27a @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2EFUNSET @ A_27a @ A_27b ) @ V0a ) @ V1b ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2EFUNSET @ A_27a @ A_27b ) @ V0a ) @ V2c ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(ax_thm_2Epred__set_2Eschroeder__close__def,axiom,
% 5.44/5.73 ! [A_27a: del,V0f: $i] :
% 5.44/5.73 ( ( mem @ V0f @ ( arr @ A_27a @ A_27a ) )
% 5.44/5.73 => ! [V1s: $i] :
% 5.44/5.73 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V2x: $i] :
% 5.44/5.73 ( ( mem @ V2x @ A_27a )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2Eschroeder__close @ A_27a ) @ V0f ) @ V1s ) @ V2x ) )
% 5.44/5.73 <=> ? [V3n: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ ( ap @ ( ap @ ( ap @ ( c_2Earithmetic_2EFUNPOW @ ( arr @ A_27a @ bool ) ) @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ A_27a ) @ V0f ) ) @ ( inj__ty_2Enum_2Enum @ V3n ) ) @ V1s ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2ESCHROEDER__CLOSE,axiom,
% 5.44/5.73 ! [A_27a: del,V0x: $i] :
% 5.44/5.73 ( ( mem @ V0x @ A_27a )
% 5.44/5.73 => ! [V1f: $i] :
% 5.44/5.73 ( ( mem @ V1f @ ( arr @ A_27a @ A_27a ) )
% 5.44/5.73 => ! [V2s: $i] :
% 5.44/5.73 ( ( mem @ V2s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0x ) @ ( ap @ ( ap @ ( c_2Epred__set_2Eschroeder__close @ A_27a ) @ V1f ) @ V2s ) ) )
% 5.44/5.73 <=> ? [V3n: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0x ) @ ( ap @ ( ap @ ( ap @ ( c_2Earithmetic_2EFUNPOW @ ( arr @ A_27a @ bool ) ) @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ A_27a ) @ V1f ) ) @ ( inj__ty_2Enum_2Enum @ V3n ) ) @ V2s ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2ESCHROEDER__CLOSED,axiom,
% 5.44/5.73 ! [A_27a: del,V0f: $i] :
% 5.44/5.73 ( ( mem @ V0f @ ( arr @ A_27a @ A_27a ) )
% 5.44/5.73 => ! [V1s: $i] :
% 5.44/5.73 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ A_27a ) @ V0f ) @ ( ap @ ( ap @ ( c_2Epred__set_2Eschroeder__close @ A_27a ) @ V0f ) @ V1s ) ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2Eschroeder__close @ A_27a ) @ V0f ) @ V1s ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2ESCHROEDER__CLOSE__SUBSET,axiom,
% 5.44/5.73 ! [A_27a: del,V0f: $i] :
% 5.44/5.73 ( ( mem @ V0f @ ( arr @ A_27a @ A_27a ) )
% 5.44/5.73 => ! [V1s: $i] :
% 5.44/5.73 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V1s ) @ ( ap @ ( ap @ ( c_2Epred__set_2Eschroeder__close @ A_27a ) @ V0f ) @ V1s ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2ESCHROEDER__CLOSE__SET,axiom,
% 5.44/5.73 ! [A_27a: del,V0f: $i] :
% 5.44/5.73 ( ( mem @ V0f @ ( arr @ A_27a @ A_27a ) )
% 5.44/5.73 => ! [V1s: $i] :
% 5.44/5.73 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V2t: $i] :
% 5.44/5.73 ( ( mem @ V2t @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( arr @ A_27a @ A_27a ) ) @ V0f ) @ ( ap @ ( ap @ ( c_2Epred__set_2EFUNSET @ A_27a @ A_27a ) @ V1s ) @ V1s ) ) )
% 5.44/5.73 & ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V2t ) @ V1s ) ) )
% 5.44/5.73 => ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2Eschroeder__close @ A_27a ) @ V0f ) @ V2t ) ) @ V1s ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2ESCHROEDER__BERNSTEIN__AUTO,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1t: $i] :
% 5.44/5.73 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V1t ) @ V0s ) )
% 5.44/5.73 & ? [V2f: $i] :
% 5.44/5.73 ( ( mem @ V2f @ ( arr @ A_27a @ A_27a ) )
% 5.44/5.73 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EINJ @ A_27a @ A_27a ) @ V2f ) @ V0s ) @ V1t ) ) ) )
% 5.44/5.73 => ? [V3g: $i] :
% 5.44/5.73 ( ( mem @ V3g @ ( arr @ A_27a @ A_27a ) )
% 5.44/5.73 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EBIJ @ A_27a @ A_27a ) @ V3g ) @ V0s ) @ V1t ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2ESCHROEDER__BERNSTEIN,axiom,
% 5.44/5.73 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1t: $i] :
% 5.44/5.73 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.44/5.73 => ( ( ? [V2f: $i] :
% 5.44/5.73 ( ( mem @ V2f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.73 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EINJ @ A_27a @ A_27b ) @ V2f ) @ V0s ) @ V1t ) ) )
% 5.44/5.73 & ? [V3g: $i] :
% 5.44/5.73 ( ( mem @ V3g @ ( arr @ A_27b @ A_27a ) )
% 5.44/5.73 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EINJ @ A_27b @ A_27a ) @ V3g ) @ V1t ) @ V0s ) ) ) )
% 5.44/5.73 => ? [V4h: $i] :
% 5.44/5.73 ( ( mem @ V4h @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.73 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EBIJ @ A_27a @ A_27b ) @ V4h ) @ V0s ) @ V1t ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EBIJ__INJ__SURJ,axiom,
% 5.44/5.73 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1t: $i] :
% 5.44/5.73 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.44/5.73 => ( ( ? [V2f: $i] :
% 5.44/5.73 ( ( mem @ V2f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.73 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EINJ @ A_27a @ A_27b ) @ V2f ) @ V0s ) @ V1t ) ) )
% 5.44/5.73 & ? [V3g: $i] :
% 5.44/5.73 ( ( mem @ V3g @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.73 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2ESURJ @ A_27a @ A_27b ) @ V3g ) @ V0s ) @ V1t ) ) ) )
% 5.44/5.73 => ? [V4h: $i] :
% 5.44/5.73 ( ( mem @ V4h @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.73 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EBIJ @ A_27a @ A_27b ) @ V4h ) @ V0s ) @ V1t ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EBIJ__ALT,axiom,
% 5.44/5.73 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.73 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.73 => ! [V1s: $i] :
% 5.44/5.73 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V2t: $i] :
% 5.44/5.73 ( ( mem @ V2t @ ( arr @ A_27b @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EBIJ @ A_27a @ A_27b ) @ V0f ) @ V1s ) @ V2t ) )
% 5.44/5.73 <=> ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( arr @ A_27a @ A_27b ) ) @ V0f ) @ ( ap @ ( ap @ ( c_2Epred__set_2EFUNSET @ A_27a @ A_27b ) @ V1s ) @ V2t ) ) )
% 5.44/5.73 & ! [V3y: $i] :
% 5.44/5.73 ( ( mem @ V3y @ A_27b )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ V3y ) @ V2t ) )
% 5.44/5.73 => ( p
% 5.44/5.73 @ ( ap @ ( c_2Ebool_2E_3F_21 @ A_27a )
% 5.44/5.73 @ ( lam @ A_27a
% 5.44/5.73 @ ^ [V4x: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V4x ) @ V1s ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27b ) @ V3y ) @ ( ap @ V0f @ V4x ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EBIJ__INSERT__IMP,axiom,
% 5.44/5.73 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.73 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.73 => ! [V1e: $i] :
% 5.44/5.73 ( ( mem @ V1e @ A_27a )
% 5.44/5.73 => ! [V2s: $i] :
% 5.44/5.73 ( ( mem @ V2s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V3t: $i] :
% 5.44/5.73 ( ( mem @ V3t @ ( arr @ A_27b @ bool ) )
% 5.44/5.73 => ( ( ~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V1e ) @ V2s ) )
% 5.44/5.73 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EBIJ @ A_27a @ A_27b ) @ V0f ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V1e ) @ V2s ) ) @ V3t ) ) )
% 5.44/5.73 => ? [V4u: $i] :
% 5.44/5.73 ( ( mem @ V4u @ ( arr @ A_27b @ bool ) )
% 5.44/5.73 & ( ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27b ) @ ( ap @ V0f @ V1e ) ) @ V4u )
% 5.44/5.73 = V3t )
% 5.44/5.73 & ~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ ( ap @ V0f @ V1e ) ) @ V4u ) )
% 5.44/5.73 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EBIJ @ A_27a @ A_27b ) @ V0f ) @ V2s ) @ V4u ) ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EBIJ__IMAGE,axiom,
% 5.44/5.73 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.73 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.73 => ! [V1s: $i] :
% 5.44/5.73 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V2t: $i] :
% 5.44/5.73 ( ( mem @ V2t @ ( arr @ A_27b @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EBIJ @ A_27a @ A_27b ) @ V0f ) @ V1s ) @ V2t ) )
% 5.44/5.73 => ( V2t
% 5.44/5.73 = ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ A_27b ) @ V0f ) @ V1s ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(ax_thm_2Epred__set_2ELINV__OPT__def,axiom,
% 5.44/5.73 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.73 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.73 => ! [V1s: $i] :
% 5.44/5.73 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V2y: $i] :
% 5.44/5.73 ( ( mem @ V2y @ A_27b )
% 5.44/5.73 => ( ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2ELINV__OPT @ A_27a @ A_27b ) @ V0f ) @ V1s ) @ V2y )
% 5.44/5.73 = ( ap
% 5.44/5.73 @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ V2y ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ A_27b ) @ V0f ) @ V1s ) ) )
% 5.44/5.73 @ ( ap @ ( c_2Eoption_2ESOME @ A_27a )
% 5.44/5.73 @ ( ap @ ( c_2Emin_2E_40 @ A_27a )
% 5.44/5.73 @ ( lam @ A_27a
% 5.44/5.73 @ ^ [V3x: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3x ) @ V1s ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27b ) @ ( ap @ V0f @ V3x ) ) @ V2y ) ) ) ) ) )
% 5.44/5.73 @ ( c_2Eoption_2ENONE @ A_27a ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2ELINV__OPT__THM,axiom,
% 5.44/5.73 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.73 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.73 => ! [V1s: $i] :
% 5.44/5.73 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V2y: $i] :
% 5.44/5.73 ( ( mem @ V2y @ A_27b )
% 5.44/5.73 => ! [V3x: $i] :
% 5.44/5.73 ( ( mem @ V3x @ A_27a )
% 5.44/5.73 => ( ( ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2ELINV__OPT @ A_27a @ A_27b ) @ V0f ) @ V1s ) @ V2y )
% 5.44/5.73 = ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V3x ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3x ) @ V1s ) )
% 5.44/5.73 & ( ( ap @ V0f @ V3x )
% 5.44/5.73 = V2y ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EINJ__LINV__OPT__IMAGE,axiom,
% 5.44/5.73 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.73 ( ( mem @ V0f @ ( arr @ A_27b @ A_27a ) )
% 5.44/5.73 => ! [V1s: $i] :
% 5.44/5.73 ( ( mem @ V1s @ ( arr @ A_27b @ bool ) )
% 5.44/5.73 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EINJ @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2ELINV__OPT @ A_27b @ A_27a ) @ V0f ) @ V1s ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27b @ A_27a ) @ V0f ) @ V1s ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27b @ ( ty_2Eoption_2Eoption @ A_27b ) ) @ ( c_2Eoption_2ESOME @ A_27b ) ) @ V1s ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EINJ__LINV__OPT,axiom,
% 5.44/5.73 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.73 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.73 => ! [V1s: $i] :
% 5.44/5.73 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V2t: $i] :
% 5.44/5.73 ( ( mem @ V2t @ ( arr @ A_27b @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EINJ @ A_27a @ A_27b ) @ V0f ) @ V1s ) @ V2t ) )
% 5.44/5.73 => ! [V3x: $i] :
% 5.44/5.73 ( ( mem @ V3x @ A_27a )
% 5.44/5.73 => ! [V4y: $i] :
% 5.44/5.73 ( ( mem @ V4y @ A_27b )
% 5.44/5.73 => ( ( ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2ELINV__OPT @ A_27a @ A_27b ) @ V0f ) @ V1s ) @ V4y )
% 5.44/5.73 = ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V3x ) )
% 5.44/5.73 <=> ( ( V4y
% 5.44/5.73 = ( ap @ V0f @ V3x ) )
% 5.44/5.73 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3x ) @ V1s ) )
% 5.44/5.73 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ V4y ) @ V2t ) ) ) ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(ax_thm_2Epred__set_2ELINV__LO,axiom,
% 5.44/5.73 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.73 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.73 => ! [V1s: $i] :
% 5.44/5.73 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V2y: $i] :
% 5.44/5.73 ( ( mem @ V2y @ A_27b )
% 5.44/5.73 => ( ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2ELINV @ A_27a @ A_27b ) @ V0f ) @ V1s ) @ V2y )
% 5.44/5.73 = ( ap @ ( c_2Eoption_2ETHE @ A_27a ) @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2ELINV__OPT @ A_27a @ A_27b ) @ V0f ) @ V1s ) @ V2y ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2ELINV__DEF,axiom,
% 5.44/5.73 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.73 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.73 => ! [V1s: $i] :
% 5.44/5.73 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V2t: $i] :
% 5.44/5.73 ( ( mem @ V2t @ ( arr @ A_27b @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EINJ @ A_27a @ A_27b ) @ V0f ) @ V1s ) @ V2t ) )
% 5.44/5.73 => ! [V3x: $i] :
% 5.44/5.73 ( ( mem @ V3x @ A_27a )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3x ) @ V1s ) )
% 5.44/5.73 => ( ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2ELINV @ A_27a @ A_27b ) @ V0f ) @ V1s ) @ ( ap @ V0f @ V3x ) )
% 5.44/5.73 = V3x ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EBIJ__LINV__INV,axiom,
% 5.44/5.73 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.73 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.73 => ! [V1s: $i] :
% 5.44/5.73 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V2t: $i] :
% 5.44/5.73 ( ( mem @ V2t @ ( arr @ A_27b @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EBIJ @ A_27a @ A_27b ) @ V0f ) @ V1s ) @ V2t ) )
% 5.44/5.73 => ! [V3x: $i] :
% 5.44/5.73 ( ( mem @ V3x @ A_27b )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ V3x ) @ V2t ) )
% 5.44/5.73 => ( ( ap @ V0f @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2ELINV @ A_27a @ A_27b ) @ V0f ) @ V1s ) @ V3x ) )
% 5.44/5.73 = V3x ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EBIJ__LINV__BIJ,axiom,
% 5.44/5.73 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.73 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.73 => ! [V1s: $i] :
% 5.44/5.73 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V2t: $i] :
% 5.44/5.73 ( ( mem @ V2t @ ( arr @ A_27b @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EBIJ @ A_27a @ A_27b ) @ V0f ) @ V1s ) @ V2t ) )
% 5.44/5.73 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EBIJ @ A_27b @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2ELINV @ A_27a @ A_27b ) @ V0f ) @ V1s ) ) @ V2t ) @ V1s ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EBIJ__IFF__INV,axiom,
% 5.44/5.73 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.73 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.73 => ! [V1s: $i] :
% 5.44/5.73 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V2t: $i] :
% 5.44/5.73 ( ( mem @ V2t @ ( arr @ A_27b @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EBIJ @ A_27a @ A_27b ) @ V0f ) @ V1s ) @ V2t ) )
% 5.44/5.73 <=> ( ! [V3x: $i] :
% 5.44/5.73 ( ( mem @ V3x @ A_27a )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3x ) @ V1s ) )
% 5.44/5.73 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ ( ap @ V0f @ V3x ) ) @ V2t ) ) ) )
% 5.44/5.73 & ? [V4g: $i] :
% 5.44/5.73 ( ( mem @ V4g @ ( arr @ A_27b @ A_27a ) )
% 5.44/5.73 & ! [V5x: $i] :
% 5.44/5.73 ( ( mem @ V5x @ A_27b )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ V5x ) @ V2t ) )
% 5.44/5.73 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ ( ap @ V4g @ V5x ) ) @ V1s ) ) ) )
% 5.44/5.73 & ! [V6x: $i] :
% 5.44/5.73 ( ( mem @ V6x @ A_27a )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V6x ) @ V1s ) )
% 5.44/5.73 => ( ( ap @ V4g @ ( ap @ V0f @ V6x ) )
% 5.44/5.73 = V6x ) ) )
% 5.44/5.73 & ! [V7x: $i] :
% 5.44/5.73 ( ( mem @ V7x @ A_27b )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ V7x ) @ V2t ) )
% 5.44/5.73 => ( ( ap @ V0f @ ( ap @ V4g @ V7x ) )
% 5.44/5.73 = V7x ) ) ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EBIJ__INSERT,axiom,
% 5.44/5.73 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.73 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.73 => ! [V1e: $i] :
% 5.44/5.73 ( ( mem @ V1e @ A_27a )
% 5.44/5.73 => ! [V2s: $i] :
% 5.44/5.73 ( ( mem @ V2s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V3t: $i] :
% 5.44/5.73 ( ( mem @ V3t @ ( arr @ A_27b @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EBIJ @ A_27a @ A_27b ) @ V0f ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V1e ) @ V2s ) ) @ V3t ) )
% 5.44/5.73 <=> ( ( ~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V1e ) @ V2s ) )
% 5.44/5.73 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ ( ap @ V0f @ V1e ) ) @ V3t ) )
% 5.44/5.73 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EBIJ @ A_27a @ A_27b ) @ V0f ) @ V2s ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ A_27b ) @ V3t ) @ ( ap @ V0f @ V1e ) ) ) ) )
% 5.44/5.73 | ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V1e ) @ V2s ) )
% 5.44/5.73 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EBIJ @ A_27a @ A_27b ) @ V0f ) @ V2s ) @ V3t ) ) ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(ax_thm_2Epred__set_2ERINV__LO,axiom,
% 5.44/5.73 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.73 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.73 => ! [V1s: $i] :
% 5.44/5.73 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V2y: $i] :
% 5.44/5.73 ( ( mem @ V2y @ A_27b )
% 5.44/5.73 => ( ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2ERINV @ A_27a @ A_27b ) @ V0f ) @ V1s ) @ V2y )
% 5.44/5.73 = ( ap @ ( c_2Eoption_2ETHE @ A_27a ) @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2ELINV__OPT @ A_27a @ A_27b ) @ V0f ) @ V1s ) @ V2y ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2ERINV__DEF,axiom,
% 5.44/5.73 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.73 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.73 => ! [V1s: $i] :
% 5.44/5.73 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V2t: $i] :
% 5.44/5.73 ( ( mem @ V2t @ ( arr @ A_27b @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2ESURJ @ A_27a @ A_27b ) @ V0f ) @ V1s ) @ V2t ) )
% 5.44/5.73 => ! [V3x: $i] :
% 5.44/5.73 ( ( mem @ V3x @ A_27b )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ V3x ) @ V2t ) )
% 5.44/5.73 => ( ( ap @ V0f @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2ERINV @ A_27a @ A_27b ) @ V0f ) @ V1s ) @ V3x ) )
% 5.44/5.73 = V3x ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2ESURJ__INJ__INV,axiom,
% 5.44/5.73 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.73 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.73 => ! [V1s: $i] :
% 5.44/5.73 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V2t: $i] :
% 5.44/5.73 ( ( mem @ V2t @ ( arr @ A_27b @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2ESURJ @ A_27a @ A_27b ) @ V0f ) @ V1s ) @ V2t ) )
% 5.44/5.73 => ? [V3g: $i] :
% 5.44/5.73 ( ( mem @ V3g @ ( arr @ A_27b @ A_27a ) )
% 5.44/5.73 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EINJ @ A_27b @ A_27a ) @ V3g ) @ V2t ) @ V1s ) )
% 5.44/5.73 & ! [V4y: $i] :
% 5.44/5.73 ( ( mem @ V4y @ A_27b )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ V4y ) @ V2t ) )
% 5.44/5.73 => ( ( ap @ V0f @ ( ap @ V3g @ V4y ) )
% 5.44/5.73 = V4y ) ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(ax_thm_2Epred__set_2EFINITE__DEF,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.44/5.73 <=> ! [V1P: $i] :
% 5.44/5.73 ( ( mem @ V1P @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) )
% 5.44/5.73 => ( ( ( p @ ( ap @ V1P @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) )
% 5.44/5.73 & ! [V2s: $i] :
% 5.44/5.73 ( ( mem @ V2s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ V1P @ V2s ) )
% 5.44/5.73 => ! [V3e: $i] :
% 5.44/5.73 ( ( mem @ V3e @ A_27a )
% 5.44/5.73 => ( p @ ( ap @ V1P @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V3e ) @ V2s ) ) ) ) ) ) )
% 5.44/5.73 => ( p @ ( ap @ V1P @ V0s ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EFINITE__EMPTY,axiom,
% 5.44/5.73 ! [A_27a: del] : ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EFINITE__INDUCT,axiom,
% 5.44/5.73 ! [A_27a: del,V0P: $i] :
% 5.44/5.73 ( ( mem @ V0P @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) )
% 5.44/5.73 => ( ( ( p @ ( ap @ V0P @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) )
% 5.44/5.73 & ! [V1s: $i] :
% 5.44/5.73 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V1s ) )
% 5.44/5.73 & ( p @ ( ap @ V0P @ V1s ) ) )
% 5.44/5.73 => ! [V2e: $i] :
% 5.44/5.73 ( ( mem @ V2e @ A_27a )
% 5.44/5.73 => ( ~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2e ) @ V1s ) )
% 5.44/5.73 => ( p @ ( ap @ V0P @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V2e ) @ V1s ) ) ) ) ) ) ) )
% 5.44/5.73 => ! [V3s: $i] :
% 5.44/5.73 ( ( mem @ V3s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V3s ) )
% 5.44/5.73 => ( p @ ( ap @ V0P @ V3s ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EFINITE__INSERT,axiom,
% 5.44/5.73 ! [A_27a: del,V0x: $i] :
% 5.44/5.73 ( ( mem @ V0x @ A_27a )
% 5.44/5.73 => ! [V1s: $i] :
% 5.44/5.73 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V0x ) @ V1s ) ) )
% 5.44/5.73 <=> ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V1s ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EFINITE__DELETE,axiom,
% 5.44/5.73 ! [A_27a: del,V0x: $i] :
% 5.44/5.73 ( ( mem @ V0x @ A_27a )
% 5.44/5.73 => ! [V1s: $i] :
% 5.44/5.73 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ A_27a ) @ V1s ) @ V0x ) ) )
% 5.44/5.73 <=> ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V1s ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EFINITE__REST,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.44/5.73 => ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ ( ap @ ( c_2Epred__set_2EREST @ A_27a ) @ V0s ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EFINITE__REST__EQ,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ ( ap @ ( c_2Epred__set_2EREST @ A_27a ) @ V0s ) ) )
% 5.44/5.73 <=> ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EFINITE__UNION,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1t: $i] :
% 5.44/5.73 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ V0s ) @ V1t ) ) )
% 5.44/5.73 <=> ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.44/5.73 & ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V1t ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EINTER__FINITE,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.44/5.73 => ! [V1t: $i] :
% 5.44/5.73 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ V0s ) @ V1t ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2ESUBSET__FINITE,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.44/5.73 => ! [V1t: $i] :
% 5.44/5.73 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V1t ) @ V0s ) )
% 5.44/5.73 => ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V1t ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2ESUBSET__FINITE__I,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1t: $i] :
% 5.44/5.73 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.44/5.73 & ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V1t ) @ V0s ) ) )
% 5.44/5.73 => ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V1t ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EPSUBSET__FINITE,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.44/5.73 => ! [V1t: $i] :
% 5.44/5.73 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2EPSUBSET @ A_27a ) @ V1t ) @ V0s ) )
% 5.44/5.73 => ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V1t ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EFINITE__DIFF,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.44/5.73 => ! [V1t: $i] :
% 5.44/5.73 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDIFF @ A_27a ) @ V0s ) @ V1t ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EFINITE__DIFF__down,axiom,
% 5.44/5.73 ! [A_27a: del,V0P: $i] :
% 5.44/5.73 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1Q: $i] :
% 5.44/5.73 ( ( mem @ V1Q @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDIFF @ A_27a ) @ V0P ) @ V1Q ) ) )
% 5.44/5.73 & ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V1Q ) ) )
% 5.44/5.73 => ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0P ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EFINITE__SING,axiom,
% 5.44/5.73 ! [A_27a: del,V0x: $i] :
% 5.44/5.73 ( ( mem @ V0x @ A_27a )
% 5.44/5.73 => ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V0x ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2ESING__FINITE,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( c_2Epred__set_2ESING @ A_27a ) @ V0s ) )
% 5.44/5.73 => ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EIMAGE__FINITE,axiom,
% 5.44/5.73 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.44/5.73 => ! [V1f: $i] :
% 5.44/5.73 ( ( mem @ V1f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.73 => ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27b ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ A_27b ) @ V1f ) @ V0s ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EFINITELY__INJECTIVE__IMAGE__FINITE,axiom,
% 5.44/5.73 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.73 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.73 => ( ! [V1x: $i] :
% 5.44/5.73 ( ( mem @ V1x @ A_27b )
% 5.44/5.73 => ( p
% 5.44/5.73 @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a )
% 5.44/5.73 @ ( ap @ ( c_2Epred__set_2EGSPEC @ A_27a @ A_27a )
% 5.44/5.73 @ ( lam @ A_27a
% 5.44/5.73 @ ^ [V2y: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ bool ) @ V2y ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27b ) @ V1x ) @ ( ap @ V0f @ V2y ) ) ) ) ) ) ) )
% 5.44/5.73 => ! [V3s: $i] :
% 5.44/5.73 ( ( mem @ V3s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27b ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ A_27b ) @ V0f ) @ V3s ) ) )
% 5.44/5.73 <=> ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V3s ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EINJECTIVE__IMAGE__FINITE,axiom,
% 5.44/5.73 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.73 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.73 => ( ! [V1x: $i] :
% 5.44/5.73 ( ( mem @ V1x @ A_27a )
% 5.44/5.73 => ! [V2y: $i] :
% 5.44/5.73 ( ( mem @ V2y @ A_27a )
% 5.44/5.73 => ( ( ( ap @ V0f @ V1x )
% 5.44/5.73 = ( ap @ V0f @ V2y ) )
% 5.44/5.73 <=> ( V1x = V2y ) ) ) )
% 5.44/5.73 => ! [V3s: $i] :
% 5.44/5.73 ( ( mem @ V3s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27b ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ A_27b ) @ V0f ) @ V3s ) ) )
% 5.44/5.73 <=> ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V3s ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EFINITE__INJ,axiom,
% 5.44/5.73 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.73 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.73 => ! [V1s: $i] :
% 5.44/5.73 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V2t: $i] :
% 5.44/5.73 ( ( mem @ V2t @ ( arr @ A_27b @ bool ) )
% 5.44/5.73 => ( ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EINJ @ A_27a @ A_27b ) @ V0f ) @ V1s ) @ V2t ) )
% 5.44/5.73 & ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27b ) @ V2t ) ) )
% 5.44/5.73 => ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V1s ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(ax_thm_2Epred__set_2EREL__RESTRICT__DEF,axiom,
% 5.44/5.73 ! [A_27a: del,V0R: $i] :
% 5.44/5.73 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.73 => ! [V1s: $i] :
% 5.44/5.73 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V2x: $i] :
% 5.44/5.73 ( ( mem @ V2x @ A_27a )
% 5.44/5.73 => ! [V3y: $i] :
% 5.44/5.73 ( ( mem @ V3y @ A_27a )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EREL__RESTRICT @ A_27a ) @ V0R ) @ V1s ) @ V2x ) @ V3y ) )
% 5.44/5.73 <=> ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V1s ) )
% 5.44/5.73 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3y ) @ V1s ) )
% 5.44/5.73 & ( p @ ( ap @ ( ap @ V0R @ V2x ) @ V3y ) ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EREL__RESTRICT__EMPTY,axiom,
% 5.44/5.73 ! [A_27a: del,V0R: $i] :
% 5.44/5.73 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.73 => ( ( ap @ ( ap @ ( c_2Epred__set_2EREL__RESTRICT @ A_27a ) @ V0R ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) )
% 5.44/5.73 = ( c_2Erelation_2EEMPTY__REL @ A_27a ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2EREL__RESTRICT__SUBSET,axiom,
% 5.44/5.73 ! [A_27a: del,V0s1: $i] :
% 5.44/5.73 ( ( mem @ V0s1 @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1s2: $i] :
% 5.44/5.73 ( ( mem @ V1s2 @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V2R: $i] :
% 5.44/5.73 ( ( mem @ V2R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V0s1 ) @ V1s2 ) )
% 5.44/5.73 => ( p @ ( ap @ ( ap @ ( c_2Erelation_2ERSUBSET @ A_27a @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EREL__RESTRICT @ A_27a ) @ V2R ) @ V0s1 ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2EREL__RESTRICT @ A_27a ) @ V2R ) @ V1s2 ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(ax_thm_2Epred__set_2ECARD__DEF,axiom,
% 5.44/5.73 ! [A_27a: del] :
% 5.44/5.73 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) )
% 5.44/5.73 = fo__c_2Enum_2E0 )
% 5.44/5.73 & ! [V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.44/5.73 => ! [V1x: $i] :
% 5.44/5.73 ( ( mem @ V1x @ A_27a )
% 5.44/5.73 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V1x ) @ V0s ) ) )
% 5.44/5.73 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V1x ) @ V0s ) ) @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ V0s ) ) @ ( ap @ c_2Enum_2ESUC @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ V0s ) ) ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2ECARD__EMPTY,axiom,
% 5.44/5.73 ! [A_27a: del] :
% 5.44/5.73 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) )
% 5.44/5.73 = fo__c_2Enum_2E0 ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2ECARD__INSERT,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.44/5.73 => ! [V1x: $i] :
% 5.44/5.73 ( ( mem @ V1x @ A_27a )
% 5.44/5.73 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V1x ) @ V0s ) ) )
% 5.44/5.73 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V1x ) @ V0s ) ) @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ V0s ) ) @ ( ap @ c_2Enum_2ESUC @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ V0s ) ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2ECARD__EQ__0,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.44/5.73 => ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ V0s ) )
% 5.44/5.73 = fo__c_2Enum_2E0 )
% 5.44/5.73 <=> ( V0s
% 5.44/5.73 = ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2ECARD__DELETE,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.44/5.73 => ! [V1x: $i] :
% 5.44/5.73 ( ( mem @ V1x @ A_27a )
% 5.44/5.73 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ A_27a ) @ V0s ) @ V1x ) ) )
% 5.44/5.73 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V1x ) @ V0s ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ V0s ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ V0s ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2ECARD__INTER__LESS__EQ,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.44/5.73 => ! [V1t: $i] :
% 5.44/5.73 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ V0s ) @ V1t ) ) ) @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ V0s ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2ECARD__UNION,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.44/5.73 => ! [V1t: $i] :
% 5.44/5.73 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V1t ) )
% 5.44/5.73 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ V0s ) @ V1t ) ) ) @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ V0s ) @ V1t ) ) ) )
% 5.44/5.73 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ V0s ) ) @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ V1t ) ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2ECARD__UNION__EQN,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1t: $i] :
% 5.44/5.73 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.44/5.73 & ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V1t ) ) )
% 5.44/5.73 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ V0s ) @ V1t ) ) )
% 5.44/5.73 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ V0s ) ) @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ V1t ) ) ) @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ V0s ) @ V1t ) ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2ECARD__SUBSET,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.44/5.73 => ! [V1t: $i] :
% 5.44/5.73 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V1t ) @ V0s ) )
% 5.44/5.73 => ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ V1t ) ) @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ V0s ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2ECARD__PSUBSET,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.44/5.73 => ! [V1t: $i] :
% 5.44/5.73 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2EPSUBSET @ A_27a ) @ V1t ) @ V0s ) )
% 5.44/5.73 => ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ V1t ) ) @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ V0s ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2ESUBSET__EQ__CARD,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.44/5.73 => ! [V1t: $i] :
% 5.44/5.73 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V1t ) )
% 5.44/5.73 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ V0s ) )
% 5.44/5.73 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ V1t ) ) )
% 5.44/5.73 & ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V0s ) @ V1t ) ) )
% 5.44/5.73 => ( V0s = V1t ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2ECARD__SING,axiom,
% 5.44/5.73 ! [A_27a: del,V0x: $i] :
% 5.44/5.73 ( ( mem @ V0x @ A_27a )
% 5.44/5.73 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V0x ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) )
% 5.44/5.73 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2ESING__IFF__CARD1,axiom,
% 5.44/5.73 ! [A_27a: del,V0s: $i] :
% 5.44/5.73 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( c_2Epred__set_2ESING @ A_27a ) @ V0s ) )
% 5.44/5.73 <=> ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ V0s ) )
% 5.44/5.73 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.44/5.73 & ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2ECARD__DIFF,axiom,
% 5.44/5.73 ! [A_27a: del,V0t: $i] :
% 5.44/5.73 ( ( mem @ V0t @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0t ) )
% 5.44/5.73 => ! [V1s: $i] :
% 5.44/5.73 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V1s ) )
% 5.44/5.73 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDIFF @ A_27a ) @ V1s ) @ V0t ) ) )
% 5.44/5.73 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ V1s ) ) @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ V1s ) @ V0t ) ) ) ) ) ) ) ) ) ).
% 5.44/5.73
% 5.44/5.73 thf(conj_thm_2Epred__set_2ECARD__DIFF__EQN,axiom,
% 5.44/5.73 ! [A_27a: del,V0t: $i] :
% 5.44/5.73 ( ( mem @ V0t @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ! [V1s: $i] :
% 5.44/5.73 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.73 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V1s ) )
% 5.44/5.74 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDIFF @ A_27a ) @ V1s ) @ V0t ) ) )
% 5.44/5.74 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ V1s ) ) @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ V1s ) @ V0t ) ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2ELESS__CARD__DIFF,axiom,
% 5.44/5.74 ! [A_27a: del,V0t: $i] :
% 5.44/5.74 ( ( mem @ V0t @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0t ) )
% 5.44/5.74 => ! [V1s: $i] :
% 5.44/5.74 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V1s ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ V0t ) ) @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ V1s ) ) )
% 5.44/5.74 => ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDIFF @ A_27a ) @ V1s ) @ V0t ) ) ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EBIJ__FINITE,axiom,
% 5.44/5.74 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.74 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.74 => ! [V1s: $i] :
% 5.44/5.74 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V2t: $i] :
% 5.44/5.74 ( ( mem @ V2t @ ( arr @ A_27b @ bool ) )
% 5.44/5.74 => ( ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EBIJ @ A_27a @ A_27b ) @ V0f ) @ V1s ) @ V2t ) )
% 5.44/5.74 & ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V1s ) ) )
% 5.44/5.74 => ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27b ) @ V2t ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EBIJ__FINITE__SUBSET,axiom,
% 5.44/5.74 ! [A_27a: del,V0f: $i] :
% 5.44/5.74 ( ( mem @ V0f @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.44/5.74 => ! [V1s: $i] :
% 5.44/5.74 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V2t: $i] :
% 5.44/5.74 ( ( mem @ V2t @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EBIJ @ ty_2Enum_2Enum @ A_27a ) @ V0f ) @ ( c_2Epred__set_2EUNIV @ ty_2Enum_2Enum ) ) @ V1s ) )
% 5.44/5.74 & ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V2t ) )
% 5.44/5.74 & ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V2t ) @ V1s ) ) )
% 5.44/5.74 => ? [V3N: tp__ty_2Enum_2Enum] :
% 5.44/5.74 ! [V4n: tp__ty_2Enum_2Enum] :
% 5.44/5.74 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V3N ) ) @ ( inj__ty_2Enum_2Enum @ V4n ) ) )
% 5.44/5.74 => ~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ ( ap @ V0f @ ( inj__ty_2Enum_2Enum @ V4n ) ) ) @ V2t ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EFINITE__BIJ,axiom,
% 5.44/5.74 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.74 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.74 => ! [V1s: $i] :
% 5.44/5.74 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V2t: $i] :
% 5.44/5.74 ( ( mem @ V2t @ ( arr @ A_27b @ bool ) )
% 5.44/5.74 => ( ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V1s ) )
% 5.44/5.74 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EBIJ @ A_27a @ A_27b ) @ V0f ) @ V1s ) @ V2t ) ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27b ) @ V2t ) )
% 5.44/5.74 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ V1s ) )
% 5.44/5.74 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Epred__set_2ECARD @ A_27b ) @ V2t ) ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EFINITE__BIJ__CARD,axiom,
% 5.44/5.74 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.74 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.74 => ! [V1s: $i] :
% 5.44/5.74 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V2t: $i] :
% 5.44/5.74 ( ( mem @ V2t @ ( arr @ A_27b @ bool ) )
% 5.44/5.74 => ( ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V1s ) )
% 5.44/5.74 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EBIJ @ A_27a @ A_27b ) @ V0f ) @ V1s ) @ V2t ) ) )
% 5.44/5.74 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ V1s ) )
% 5.44/5.74 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Epred__set_2ECARD @ A_27b ) @ V2t ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EFINITE__BIJ__CARD__EQ,axiom,
% 5.44/5.74 ! [A_27a: del,A_27b: del,V0S: $i] :
% 5.44/5.74 ( ( mem @ V0S @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0S ) )
% 5.44/5.74 => ! [V1t: $i] :
% 5.44/5.74 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.44/5.74 => ! [V2f: $i] :
% 5.44/5.74 ( ( mem @ V2f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.74 => ( ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EBIJ @ A_27a @ A_27b ) @ V2f ) @ V0S ) @ V1t ) )
% 5.44/5.74 & ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27b ) @ V1t ) ) )
% 5.44/5.74 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ V0S ) )
% 5.44/5.74 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Epred__set_2ECARD @ A_27b ) @ V1t ) ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2ECARD__INJ__IMAGE,axiom,
% 5.44/5.74 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.74 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.74 => ! [V1s: $i] :
% 5.44/5.74 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( ! [V2x: $i] :
% 5.44/5.74 ( ( mem @ V2x @ A_27a )
% 5.44/5.74 => ! [V3y: $i] :
% 5.44/5.74 ( ( mem @ V3y @ A_27a )
% 5.44/5.74 => ( ( ( ap @ V0f @ V2x )
% 5.44/5.74 = ( ap @ V0f @ V3y ) )
% 5.44/5.74 <=> ( V2x = V3y ) ) ) )
% 5.44/5.74 & ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V1s ) ) )
% 5.44/5.74 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Epred__set_2ECARD @ A_27b ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ A_27b ) @ V0f ) @ V1s ) ) )
% 5.44/5.74 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ V1s ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2ECARD__IMAGE,axiom,
% 5.44/5.74 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.74 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.74 => ! [V1s: $i] :
% 5.44/5.74 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V1s ) )
% 5.44/5.74 => ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( c_2Epred__set_2ECARD @ A_27b ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ A_27b ) @ V0f ) @ V1s ) ) ) @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ V1s ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2ESURJ__CARD,axiom,
% 5.44/5.74 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.74 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.74 => ! [V1s: $i] :
% 5.44/5.74 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V1s ) )
% 5.44/5.74 => ! [V2t: $i] :
% 5.44/5.74 ( ( mem @ V2t @ ( arr @ A_27b @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2ESURJ @ A_27a @ A_27b ) @ V0f ) @ V1s ) @ V2t ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27b ) @ V2t ) )
% 5.44/5.74 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( c_2Epred__set_2ECARD @ A_27b ) @ V2t ) ) @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ V1s ) ) ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EFINITE__SURJ,axiom,
% 5.44/5.74 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.44/5.74 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V1f: $i] :
% 5.44/5.74 ( ( mem @ V1f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.74 => ! [V2t: $i] :
% 5.44/5.74 ( ( mem @ V2t @ ( arr @ A_27b @ bool ) )
% 5.44/5.74 => ( ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.44/5.74 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2ESURJ @ A_27a @ A_27b ) @ V1f ) @ V0s ) @ V2t ) ) )
% 5.44/5.74 => ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27b ) @ V2t ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EFINITE__SURJ__BIJ,axiom,
% 5.44/5.74 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.44/5.74 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V1f: $i] :
% 5.44/5.74 ( ( mem @ V1f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.74 => ! [V2t: $i] :
% 5.44/5.74 ( ( mem @ V2t @ ( arr @ A_27b @ bool ) )
% 5.44/5.74 => ( ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.44/5.74 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2ESURJ @ A_27a @ A_27b ) @ V1f ) @ V0s ) @ V2t ) )
% 5.44/5.74 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Epred__set_2ECARD @ A_27b ) @ V2t ) )
% 5.44/5.74 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ V0s ) ) ) )
% 5.44/5.74 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EBIJ @ A_27a @ A_27b ) @ V1f ) @ V0s ) @ V2t ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EFINITE__COMPLETE__INDUCTION,axiom,
% 5.44/5.74 ! [A_27a: del,V0P: $i] :
% 5.44/5.74 ( ( mem @ V0P @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) )
% 5.44/5.74 => ( ! [V1x: $i] :
% 5.44/5.74 ( ( mem @ V1x @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ! [V2y: $i] :
% 5.44/5.74 ( ( mem @ V2y @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2EPSUBSET @ A_27a ) @ V2y ) @ V1x ) )
% 5.44/5.74 => ( p @ ( ap @ V0P @ V2y ) ) ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V1x ) )
% 5.44/5.74 => ( p @ ( ap @ V0P @ V1x ) ) ) ) )
% 5.44/5.74 => ! [V3x: $i] :
% 5.44/5.74 ( ( mem @ V3x @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V3x ) )
% 5.44/5.74 => ( p @ ( ap @ V0P @ V3x ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EINJ__CARD__IMAGE,axiom,
% 5.44/5.74 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.74 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.74 => ! [V1t: $i] :
% 5.44/5.74 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.44/5.74 => ! [V2s: $i] :
% 5.44/5.74 ( ( mem @ V2s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V2s ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EINJ @ A_27a @ A_27b ) @ V0f ) @ V2s ) @ V1t ) )
% 5.44/5.74 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Epred__set_2ECARD @ A_27b ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ A_27b ) @ V0f ) @ V2s ) ) )
% 5.44/5.74 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ V2s ) ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EINJ__CARD,axiom,
% 5.44/5.74 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.74 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.74 => ! [V1s: $i] :
% 5.44/5.74 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V2t: $i] :
% 5.44/5.74 ( ( mem @ V2t @ ( arr @ A_27b @ bool ) )
% 5.44/5.74 => ( ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EINJ @ A_27a @ A_27b ) @ V0f ) @ V1s ) @ V2t ) )
% 5.44/5.74 & ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27b ) @ V2t ) ) )
% 5.44/5.74 => ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ V1s ) ) @ ( ap @ ( c_2Epred__set_2ECARD @ A_27b ) @ V2t ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EPHP,axiom,
% 5.44/5.74 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.74 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.74 => ! [V1s: $i] :
% 5.44/5.74 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V2t: $i] :
% 5.44/5.74 ( ( mem @ V2t @ ( arr @ A_27b @ bool ) )
% 5.44/5.74 => ( ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27b ) @ V2t ) )
% 5.44/5.74 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ ( c_2Epred__set_2ECARD @ A_27b ) @ V2t ) ) @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ V1s ) ) ) )
% 5.44/5.74 => ~ ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EINJ @ A_27a @ A_27b ) @ V0f ) @ V1s ) @ V2t ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EINJ__CARD__IMAGE__EQ,axiom,
% 5.44/5.74 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.74 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.74 => ! [V1s: $i] :
% 5.44/5.74 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V2t: $i] :
% 5.44/5.74 ( ( mem @ V2t @ ( arr @ A_27b @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EINJ @ A_27a @ A_27b ) @ V0f ) @ V1s ) @ V2t ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V1s ) )
% 5.44/5.74 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Epred__set_2ECARD @ A_27b ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ A_27b ) @ V0f ) @ V1s ) ) )
% 5.44/5.74 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ V1s ) ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(ax_thm_2Epred__set_2Ecount__def,axiom,
% 5.44/5.74 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.74 ( ( ap @ c_2Epred__set_2Ecount @ ( inj__ty_2Enum_2Enum @ V0n ) )
% 5.44/5.74 = ( ap @ ( c_2Epred__set_2EGSPEC @ ty_2Enum_2Enum @ ty_2Enum_2Enum )
% 5.44/5.74 @ ( lam @ ty_2Enum_2Enum
% 5.44/5.74 @ ^ [V1m: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ bool ) @ V1m ) @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ V1m ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EIN__COUNT,axiom,
% 5.44/5.74 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.74 ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( ap @ c_2Epred__set_2Ecount @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.44/5.74 <=> ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2ECOUNT__applied,axiom,
% 5.44/5.74 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.74 ( ( p @ ( ap @ ( ap @ c_2Epred__set_2Ecount @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) )
% 5.44/5.74 <=> ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2ECOUNT__ZERO,axiom,
% 5.44/5.74 ( ( ap @ c_2Epred__set_2Ecount @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) )
% 5.44/5.74 = ( c_2Epred__set_2EEMPTY @ ty_2Enum_2Enum ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2ECOUNT__SUC,axiom,
% 5.44/5.74 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.74 ( ( ap @ c_2Epred__set_2Ecount @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.74 = ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ c_2Epred__set_2Ecount @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EFINITE__COUNT,axiom,
% 5.44/5.74 ! [V0n: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ ty_2Enum_2Enum ) @ ( ap @ c_2Epred__set_2Ecount @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2ECARD__COUNT,axiom,
% 5.44/5.74 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.74 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Epred__set_2ECARD @ ty_2Enum_2Enum ) @ ( ap @ c_2Epred__set_2Ecount @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) )
% 5.44/5.74 = V0n ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2ECOUNT__11,axiom,
% 5.44/5.74 ! [V0n1: tp__ty_2Enum_2Enum,V1n2: tp__ty_2Enum_2Enum] :
% 5.44/5.74 ( ( ( ap @ c_2Epred__set_2Ecount @ ( inj__ty_2Enum_2Enum @ V0n1 ) )
% 5.44/5.74 = ( ap @ c_2Epred__set_2Ecount @ ( inj__ty_2Enum_2Enum @ V1n2 ) ) )
% 5.44/5.74 <=> ( V0n1 = V1n2 ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2ENOT__IN__FINITE,axiom,
% 5.44/5.74 ! [A_27a: del] :
% 5.44/5.74 ( ~ ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ ( c_2Epred__set_2EUNIV @ A_27a ) ) )
% 5.44/5.74 <=> ! [V0s: $i] :
% 5.44/5.74 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.44/5.74 => ? [V1x: $i] :
% 5.44/5.74 ( ( mem @ V1x @ A_27a )
% 5.44/5.74 & ~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V1x ) @ V0s ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EINFINITE__INHAB,axiom,
% 5.44/5.74 ! [A_27a: del,V0P: $i] :
% 5.44/5.74 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ~ ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0P ) )
% 5.44/5.74 => ? [V1x: $i] :
% 5.44/5.74 ( ( mem @ V1x @ A_27a )
% 5.44/5.74 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V1x ) @ V0P ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EIMAGE__11__INFINITE,axiom,
% 5.44/5.74 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.74 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.74 => ( ! [V1x: $i] :
% 5.44/5.74 ( ( mem @ V1x @ A_27a )
% 5.44/5.74 => ! [V2y: $i] :
% 5.44/5.74 ( ( mem @ V2y @ A_27a )
% 5.44/5.74 => ( ( ( ap @ V0f @ V1x )
% 5.44/5.74 = ( ap @ V0f @ V2y ) )
% 5.44/5.74 => ( V1x = V2y ) ) ) )
% 5.44/5.74 => ! [V3s: $i] :
% 5.44/5.74 ( ( mem @ V3s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ~ ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V3s ) )
% 5.44/5.74 => ~ ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27b ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ A_27b ) @ V0f ) @ V3s ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EINFINITE__SUBSET,axiom,
% 5.44/5.74 ! [A_27a: del,V0s: $i] :
% 5.44/5.74 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ~ ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.44/5.74 => ! [V1t: $i] :
% 5.44/5.74 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V0s ) @ V1t ) )
% 5.44/5.74 => ~ ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V1t ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EIN__INFINITE__NOT__FINITE,axiom,
% 5.44/5.74 ! [A_27a: del,V0s: $i] :
% 5.44/5.74 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V1t: $i] :
% 5.44/5.74 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( ~ ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.44/5.74 & ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V1t ) ) )
% 5.44/5.74 => ? [V2x: $i] :
% 5.44/5.74 ( ( mem @ V2x @ A_27a )
% 5.44/5.74 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V0s ) )
% 5.44/5.74 & ~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V1t ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EINFINITE__INJ,axiom,
% 5.44/5.74 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.74 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.74 => ! [V1s: $i] :
% 5.44/5.74 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V2t: $i] :
% 5.44/5.74 ( ( mem @ V2t @ ( arr @ A_27b @ bool ) )
% 5.44/5.74 => ( ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EINJ @ A_27a @ A_27b ) @ V0f ) @ V1s ) @ V2t ) )
% 5.44/5.74 & ~ ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V1s ) ) )
% 5.44/5.74 => ~ ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27b ) @ V2t ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EINFINITE__INJ__NOT__SURJ,axiom,
% 5.44/5.74 ! [A_27a: del,V0s: $i] :
% 5.44/5.74 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ~ ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.44/5.74 <=> ? [V1f: $i] :
% 5.44/5.74 ( ( mem @ V1f @ ( arr @ A_27a @ A_27a ) )
% 5.44/5.74 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EINJ @ A_27a @ A_27a ) @ V1f ) @ V0s ) @ V0s ) )
% 5.44/5.74 & ~ ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2ESURJ @ A_27a @ A_27a ) @ V1f ) @ V0s ) @ V0s ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EINFINITE__UNIV,axiom,
% 5.44/5.74 ! [A_27a: del] :
% 5.44/5.74 ( ~ ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ ( c_2Epred__set_2EUNIV @ A_27a ) ) )
% 5.44/5.74 <=> ? [V0f: $i] :
% 5.44/5.74 ( ( mem @ V0f @ ( arr @ A_27a @ A_27a ) )
% 5.44/5.74 & ! [V1x: $i] :
% 5.44/5.74 ( ( mem @ V1x @ A_27a )
% 5.44/5.74 => ! [V2y: $i] :
% 5.44/5.74 ( ( mem @ V2y @ A_27a )
% 5.44/5.74 => ( ( ( ap @ V0f @ V1x )
% 5.44/5.74 = ( ap @ V0f @ V2y ) )
% 5.44/5.74 => ( V1x = V2y ) ) ) )
% 5.44/5.74 & ? [V3y: $i] :
% 5.44/5.74 ( ( mem @ V3y @ A_27a )
% 5.44/5.74 & ! [V4x: $i] :
% 5.44/5.74 ( ( mem @ V4x @ A_27a )
% 5.44/5.74 => ( ( ap @ V0f @ V4x )
% 5.44/5.74 != V3y ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EINFINITE__NUM__UNIV,axiom,
% 5.44/5.74 ~ ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ ty_2Enum_2Enum ) @ ( c_2Epred__set_2EUNIV @ ty_2Enum_2Enum ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EFINITE__PSUBSET__INFINITE,axiom,
% 5.44/5.74 ! [A_27a: del,V0s: $i] :
% 5.44/5.74 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ~ ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.44/5.74 <=> ! [V1t: $i] :
% 5.44/5.74 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V1t ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V1t ) @ V0s ) )
% 5.44/5.74 => ( p @ ( ap @ ( ap @ ( c_2Epred__set_2EPSUBSET @ A_27a ) @ V1t ) @ V0s ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EFINITE__PSUBSET__UNIV,axiom,
% 5.44/5.74 ! [A_27a: del] :
% 5.44/5.74 ( ~ ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ ( c_2Epred__set_2EUNIV @ A_27a ) ) )
% 5.44/5.74 <=> ! [V0s: $i] :
% 5.44/5.74 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.44/5.74 => ( p @ ( ap @ ( ap @ ( c_2Epred__set_2EPSUBSET @ A_27a ) @ V0s ) @ ( c_2Epred__set_2EUNIV @ A_27a ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EINFINITE__DIFF__FINITE,axiom,
% 5.44/5.74 ! [A_27a: del,V0s: $i] :
% 5.44/5.74 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V1t: $i] :
% 5.44/5.74 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( ~ ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.44/5.74 & ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V1t ) ) )
% 5.44/5.74 => ( ( ap @ ( ap @ ( c_2Epred__set_2EDIFF @ A_27a ) @ V0s ) @ V1t )
% 5.44/5.74 != ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EFINITE__BIJ__COUNT__EQ,axiom,
% 5.44/5.74 ! [A_27a: del,V0s: $i] :
% 5.44/5.74 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.44/5.74 <=> ? [V1c: $i] :
% 5.44/5.74 ( ( mem @ V1c @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.44/5.74 & ? [V2n: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EBIJ @ ty_2Enum_2Enum @ A_27a ) @ V1c ) @ ( ap @ c_2Epred__set_2Ecount @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) @ V0s ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EFINITE__BIJ__COUNT,axiom,
% 5.44/5.74 ! [A_27a: del,V0s: $i] :
% 5.44/5.74 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.44/5.74 => ? [V1f: $i] :
% 5.44/5.74 ( ( mem @ V1f @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.44/5.74 & ? [V2b: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EBIJ @ ty_2Enum_2Enum @ A_27a ) @ V1f ) @ ( ap @ c_2Epred__set_2Ecount @ ( inj__ty_2Enum_2Enum @ V2b ) ) ) @ V0s ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EFINITE__ISO__NUM,axiom,
% 5.44/5.74 ! [A_27a: del,V0s: $i] :
% 5.44/5.74 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.44/5.74 => ? [V1f: $i] :
% 5.44/5.74 ( ( mem @ V1f @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.44/5.74 & ! [V2n: tp__ty_2Enum_2Enum,V3m: tp__ty_2Enum_2Enum] :
% 5.44/5.74 ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ V0s ) ) )
% 5.44/5.74 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V3m ) ) @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ V0s ) ) ) )
% 5.44/5.74 => ( ( ( ap @ V1f @ ( inj__ty_2Enum_2Enum @ V2n ) )
% 5.44/5.74 = ( ap @ V1f @ ( inj__ty_2Enum_2Enum @ V3m ) ) )
% 5.44/5.74 => ( V2n = V3m ) ) )
% 5.44/5.74 & ( V0s
% 5.44/5.74 = ( ap @ ( c_2Epred__set_2EGSPEC @ A_27a @ ty_2Enum_2Enum )
% 5.44/5.74 @ ( lam @ ty_2Enum_2Enum
% 5.44/5.74 @ ^ [V4n: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ bool ) @ ( ap @ V1f @ V4n ) ) @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ V4n ) @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ V0s ) ) ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EFINITE__WEAK__ENUMERATE,axiom,
% 5.44/5.74 ! [A_27a: del,V0s: $i] :
% 5.44/5.74 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.44/5.74 <=> ? [V1f: $i] :
% 5.44/5.74 ( ( mem @ V1f @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.44/5.74 & ? [V2b: tp__ty_2Enum_2Enum] :
% 5.44/5.74 ! [V3e: $i] :
% 5.44/5.74 ( ( mem @ V3e @ A_27a )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3e ) @ V0s ) )
% 5.44/5.74 <=> ? [V4n: tp__ty_2Enum_2Enum] :
% 5.44/5.74 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V4n ) ) @ ( inj__ty_2Enum_2Enum @ V2b ) ) )
% 5.44/5.74 & ( V3e
% 5.44/5.74 = ( ap @ V1f @ ( inj__ty_2Enum_2Enum @ V4n ) ) ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EFINITE__WF__noloops,axiom,
% 5.44/5.74 ! [A_27a: del,V0R: $i] :
% 5.44/5.74 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.74 => ! [V1s: $i] :
% 5.44/5.74 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V1s ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( c_2Erelation_2EWF @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EREL__RESTRICT @ A_27a ) @ V0R ) @ V1s ) ) )
% 5.44/5.74 <=> ( p @ ( ap @ ( c_2Erelation_2Eirreflexive @ A_27a ) @ ( ap @ ( c_2Erelation_2ETC @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EREL__RESTRICT @ A_27a ) @ V0R ) @ V1s ) ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EFINITE__StrongOrder__WF,axiom,
% 5.44/5.74 ! [A_27a: del,V0R: $i] :
% 5.44/5.74 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.74 => ! [V1s: $i] :
% 5.44/5.74 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V1s ) )
% 5.44/5.74 & ( p @ ( ap @ ( c_2Erelation_2EStrongOrder @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EREL__RESTRICT @ A_27a ) @ V0R ) @ V1s ) ) ) )
% 5.44/5.74 => ( p @ ( ap @ ( c_2Erelation_2EWF @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EREL__RESTRICT @ A_27a ) @ V0R ) @ V1s ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(ax_thm_2Epred__set_2EBIGUNION,axiom,
% 5.44/5.74 ! [A_27a: del,V0P: $i] :
% 5.44/5.74 ( ( mem @ V0P @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) )
% 5.44/5.74 => ( ( ap @ ( c_2Epred__set_2EBIGUNION @ A_27a ) @ V0P )
% 5.44/5.74 = ( ap @ ( c_2Epred__set_2EGSPEC @ A_27a @ A_27a )
% 5.44/5.74 @ ( lam @ A_27a
% 5.44/5.74 @ ^ [V1x: $i] :
% 5.44/5.74 ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ bool ) @ V1x )
% 5.44/5.74 @ ( ap @ ( c_2Ebool_2E_3F @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 @ ( lam @ ( arr @ A_27a @ bool )
% 5.44/5.74 @ ^ [V2s: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( arr @ A_27a @ bool ) ) @ V2s ) @ V0P ) ) @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V1x ) @ V2s ) ) ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EIN__BIGUNION,axiom,
% 5.44/5.74 ! [A_27a: del,V0x: $i] :
% 5.44/5.74 ( ( mem @ V0x @ A_27a )
% 5.44/5.74 => ! [V1sos: $i] :
% 5.44/5.74 ( ( mem @ V1sos @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0x ) @ ( ap @ ( c_2Epred__set_2EBIGUNION @ A_27a ) @ V1sos ) ) )
% 5.44/5.74 <=> ? [V2s: $i] :
% 5.44/5.74 ( ( mem @ V2s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0x ) @ V2s ) )
% 5.44/5.74 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( arr @ A_27a @ bool ) ) @ V2s ) @ V1sos ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EBIGUNION__applied,axiom,
% 5.44/5.74 ! [A_27a: del,V0x: $i] :
% 5.44/5.74 ( ( mem @ V0x @ A_27a )
% 5.44/5.74 => ! [V1sos: $i] :
% 5.44/5.74 ( ( mem @ V1sos @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2EBIGUNION @ A_27a ) @ V1sos ) @ V0x ) )
% 5.44/5.74 <=> ? [V2s: $i] :
% 5.44/5.74 ( ( mem @ V2s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0x ) @ V2s ) )
% 5.44/5.74 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( arr @ A_27a @ bool ) ) @ V2s ) @ V1sos ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EIN__BIGUNION__IMAGE,axiom,
% 5.44/5.74 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.74 ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.74 => ! [V1s: $i] :
% 5.44/5.74 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V2y: $i] :
% 5.44/5.74 ( ( mem @ V2y @ A_27b )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ V2y ) @ ( ap @ ( c_2Epred__set_2EBIGUNION @ A_27b ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ ( arr @ A_27b @ bool ) ) @ V0f ) @ V1s ) ) ) )
% 5.44/5.74 <=> ? [V3x: $i] :
% 5.44/5.74 ( ( mem @ V3x @ A_27a )
% 5.44/5.74 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3x ) @ V1s ) )
% 5.44/5.74 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ V2y ) @ ( ap @ V0f @ V3x ) ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EBIGUNION__EMPTY,axiom,
% 5.44/5.74 ! [A_27a: del] :
% 5.44/5.74 ( ( ap @ ( c_2Epred__set_2EBIGUNION @ A_27a ) @ ( c_2Epred__set_2EEMPTY @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.74 = ( c_2Epred__set_2EEMPTY @ A_27a ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EBIGUNION__EQ__EMPTY,axiom,
% 5.44/5.74 ! [A_27a: del,V0P: $i] :
% 5.44/5.74 ( ( mem @ V0P @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) )
% 5.44/5.74 => ( ( ( ( ap @ ( c_2Epred__set_2EBIGUNION @ A_27a ) @ V0P )
% 5.44/5.74 = ( c_2Epred__set_2EEMPTY @ A_27a ) )
% 5.44/5.74 <=> ( ( V0P
% 5.44/5.74 = ( c_2Epred__set_2EEMPTY @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.74 | ( V0P
% 5.44/5.74 = ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ ( arr @ A_27a @ bool ) ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) @ ( c_2Epred__set_2EEMPTY @ ( arr @ A_27a @ bool ) ) ) ) ) )
% 5.44/5.74 & ( ( ( c_2Epred__set_2EEMPTY @ A_27a )
% 5.44/5.74 = ( ap @ ( c_2Epred__set_2EBIGUNION @ A_27a ) @ V0P ) )
% 5.44/5.74 <=> ( ( V0P
% 5.44/5.74 = ( c_2Epred__set_2EEMPTY @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.74 | ( V0P
% 5.44/5.74 = ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ ( arr @ A_27a @ bool ) ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) @ ( c_2Epred__set_2EEMPTY @ ( arr @ A_27a @ bool ) ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EBIGUNION__SING,axiom,
% 5.44/5.74 ! [A_27a: del,V0x: $i] :
% 5.44/5.74 ( ( mem @ V0x @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( ap @ ( c_2Epred__set_2EBIGUNION @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ ( arr @ A_27a @ bool ) ) @ V0x ) @ ( c_2Epred__set_2EEMPTY @ ( arr @ A_27a @ bool ) ) ) )
% 5.44/5.74 = V0x ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EBIGUNION__PAIR,axiom,
% 5.44/5.74 ! [A_27a: del,V0s: $i] :
% 5.44/5.74 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V1t: $i] :
% 5.44/5.74 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( ap @ ( c_2Epred__set_2EBIGUNION @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ ( arr @ A_27a @ bool ) ) @ V0s ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ ( arr @ A_27a @ bool ) ) @ V1t ) @ ( c_2Epred__set_2EEMPTY @ ( arr @ A_27a @ bool ) ) ) ) )
% 5.44/5.74 = ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ V0s ) @ V1t ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EBIGUNION__UNION,axiom,
% 5.44/5.74 ! [A_27a: del,V0s1: $i] :
% 5.44/5.74 ( ( mem @ V0s1 @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) )
% 5.44/5.74 => ! [V1s2: $i] :
% 5.44/5.74 ( ( mem @ V1s2 @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) )
% 5.44/5.74 => ( ( ap @ ( c_2Epred__set_2EBIGUNION @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ ( arr @ A_27a @ bool ) ) @ V0s1 ) @ V1s2 ) )
% 5.44/5.74 = ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ ( ap @ ( c_2Epred__set_2EBIGUNION @ A_27a ) @ V0s1 ) ) @ ( ap @ ( c_2Epred__set_2EBIGUNION @ A_27a ) @ V1s2 ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EDISJOINT__BIGUNION,axiom,
% 5.44/5.74 ! [A_27a: del] :
% 5.44/5.74 ( ! [V0s: $i] :
% 5.44/5.74 ( ( mem @ V0s @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) )
% 5.44/5.74 => ! [V1t: $i] :
% 5.44/5.74 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2EDISJOINT @ A_27a ) @ ( ap @ ( c_2Epred__set_2EBIGUNION @ A_27a ) @ V0s ) ) @ V1t ) )
% 5.44/5.74 <=> ! [V2s_27: $i] :
% 5.44/5.74 ( ( mem @ V2s_27 @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( arr @ A_27a @ bool ) ) @ V2s_27 ) @ V0s ) )
% 5.44/5.74 => ( p @ ( ap @ ( ap @ ( c_2Epred__set_2EDISJOINT @ A_27a ) @ V2s_27 ) @ V1t ) ) ) ) ) ) )
% 5.44/5.74 & ! [V3s: $i] :
% 5.44/5.74 ( ( mem @ V3s @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) )
% 5.44/5.74 => ! [V4t: $i] :
% 5.44/5.74 ( ( mem @ V4t @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2EDISJOINT @ A_27a ) @ V4t ) @ ( ap @ ( c_2Epred__set_2EBIGUNION @ A_27a ) @ V3s ) ) )
% 5.44/5.74 <=> ! [V5s_27: $i] :
% 5.44/5.74 ( ( mem @ V5s_27 @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( arr @ A_27a @ bool ) ) @ V5s_27 ) @ V3s ) )
% 5.44/5.74 => ( p @ ( ap @ ( ap @ ( c_2Epred__set_2EDISJOINT @ A_27a ) @ V4t ) @ V5s_27 ) ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EBIGUNION__INSERT,axiom,
% 5.44/5.74 ! [A_27a: del,V0s: $i] :
% 5.44/5.74 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V1P: $i] :
% 5.44/5.74 ( ( mem @ V1P @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) )
% 5.44/5.74 => ( ( ap @ ( c_2Epred__set_2EBIGUNION @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ ( arr @ A_27a @ bool ) ) @ V0s ) @ V1P ) )
% 5.44/5.74 = ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ V0s ) @ ( ap @ ( c_2Epred__set_2EBIGUNION @ A_27a ) @ V1P ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EBIGUNION__SUBSET,axiom,
% 5.44/5.74 ! [A_27a: del,V0X: $i] :
% 5.44/5.74 ( ( mem @ V0X @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V1P: $i] :
% 5.44/5.74 ( ( mem @ V1P @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ ( ap @ ( c_2Epred__set_2EBIGUNION @ A_27a ) @ V1P ) ) @ V0X ) )
% 5.44/5.74 <=> ! [V2Y: $i] :
% 5.44/5.74 ( ( mem @ V2Y @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( arr @ A_27a @ bool ) ) @ V2Y ) @ V1P ) )
% 5.44/5.74 => ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V2Y ) @ V0X ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EBIGUNION__IMAGE__UNIV,axiom,
% 5.44/5.74 ! [A_27a: del,V0f: $i] :
% 5.44/5.74 ( ( mem @ V0f @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.74 => ! [V1N: tp__ty_2Enum_2Enum] :
% 5.44/5.74 ( ! [V2n: tp__ty_2Enum_2Enum] :
% 5.44/5.74 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1N ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) )
% 5.44/5.74 => ( ( ap @ V0f @ ( inj__ty_2Enum_2Enum @ V2n ) )
% 5.44/5.74 = ( c_2Epred__set_2EEMPTY @ A_27a ) ) )
% 5.44/5.74 => ( ( ap @ ( c_2Epred__set_2EBIGUNION @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ ty_2Enum_2Enum @ ( arr @ A_27a @ bool ) ) @ V0f ) @ ( c_2Epred__set_2EUNIV @ ty_2Enum_2Enum ) ) )
% 5.44/5.74 = ( ap @ ( c_2Epred__set_2EBIGUNION @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ ty_2Enum_2Enum @ ( arr @ A_27a @ bool ) ) @ V0f ) @ ( ap @ c_2Epred__set_2Ecount @ ( inj__ty_2Enum_2Enum @ V1N ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EFINITE__BIGUNION,axiom,
% 5.44/5.74 ! [A_27a: del,V0P: $i] :
% 5.44/5.74 ( ( mem @ V0P @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) )
% 5.44/5.74 => ( ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ ( arr @ A_27a @ bool ) ) @ V0P ) )
% 5.44/5.74 & ! [V1s: $i] :
% 5.44/5.74 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( arr @ A_27a @ bool ) ) @ V1s ) @ V0P ) )
% 5.44/5.74 => ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V1s ) ) ) ) )
% 5.44/5.74 => ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ ( ap @ ( c_2Epred__set_2EBIGUNION @ A_27a ) @ V0P ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EFINITE__BIGUNION__EQ,axiom,
% 5.44/5.74 ! [A_27a: del,V0P: $i] :
% 5.44/5.74 ( ( mem @ V0P @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ ( ap @ ( c_2Epred__set_2EBIGUNION @ A_27a ) @ V0P ) ) )
% 5.44/5.74 <=> ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ ( arr @ A_27a @ bool ) ) @ V0P ) )
% 5.44/5.74 & ! [V1s: $i] :
% 5.44/5.74 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( arr @ A_27a @ bool ) ) @ V1s ) @ V0P ) )
% 5.44/5.74 => ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V1s ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2ESUBSET__BIGUNION__I,axiom,
% 5.44/5.74 ! [A_27a: del,V0x: $i] :
% 5.44/5.74 ( ( mem @ V0x @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V1P: $i] :
% 5.44/5.74 ( ( mem @ V1P @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( arr @ A_27a @ bool ) ) @ V0x ) @ V1P ) )
% 5.44/5.74 => ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V0x ) @ ( ap @ ( c_2Epred__set_2EBIGUNION @ A_27a ) @ V1P ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2ECARD__BIGUNION__SAME__SIZED__SETS,axiom,
% 5.44/5.74 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1s: $i] :
% 5.44/5.74 ( ( mem @ V1s @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) )
% 5.44/5.74 => ( ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ ( arr @ A_27a @ bool ) ) @ V1s ) )
% 5.44/5.74 & ! [V2e: $i] :
% 5.44/5.74 ( ( mem @ V2e @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( arr @ A_27a @ bool ) ) @ V2e ) @ V1s ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V2e ) )
% 5.44/5.74 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ V2e ) )
% 5.44/5.74 = V0n ) ) ) )
% 5.44/5.74 & ! [V3e1: $i] :
% 5.44/5.74 ( ( mem @ V3e1 @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V4e2: $i] :
% 5.44/5.74 ( ( mem @ V4e2 @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( arr @ A_27a @ bool ) ) @ V3e1 ) @ V1s ) )
% 5.44/5.74 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( arr @ A_27a @ bool ) ) @ V4e2 ) @ V1s ) )
% 5.44/5.74 & ( V3e1 != V4e2 ) )
% 5.44/5.74 => ( p @ ( ap @ ( ap @ ( c_2Epred__set_2EDISJOINT @ A_27a ) @ V3e1 ) @ V4e2 ) ) ) ) ) )
% 5.44/5.74 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ ( ap @ ( c_2Epred__set_2EBIGUNION @ A_27a ) @ V1s ) ) )
% 5.44/5.74 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ ( c_2Epred__set_2ECARD @ ( arr @ A_27a @ bool ) ) @ V1s ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EDISJOINT__COUNT,axiom,
% 5.44/5.74 ! [A_27a: del,V0f: $i] :
% 5.44/5.74 ( ( mem @ V0f @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.74 => ( ! [V1m: tp__ty_2Enum_2Enum,V2n: tp__ty_2Enum_2Enum] :
% 5.44/5.74 ( ( V1m != V2n )
% 5.44/5.74 => ( p @ ( ap @ ( ap @ ( c_2Epred__set_2EDISJOINT @ A_27a ) @ ( ap @ V0f @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) @ ( ap @ V0f @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) )
% 5.44/5.74 => ! [V3n: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ ( c_2Epred__set_2EDISJOINT @ A_27a ) @ ( ap @ V0f @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) @ ( ap @ ( c_2Epred__set_2EBIGUNION @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ ty_2Enum_2Enum @ ( arr @ A_27a @ bool ) ) @ V0f ) @ ( ap @ c_2Epred__set_2Ecount @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EFORALL__IN__BIGUNION,axiom,
% 5.44/5.74 ! [A_27a: del,V0P: $i] :
% 5.44/5.74 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V1s: $i] :
% 5.44/5.74 ( ( mem @ V1s @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) )
% 5.44/5.74 => ( ! [V2x: $i] :
% 5.44/5.74 ( ( mem @ V2x @ A_27a )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ ( ap @ ( c_2Epred__set_2EBIGUNION @ A_27a ) @ V1s ) ) )
% 5.44/5.74 => ( p @ ( ap @ V0P @ V2x ) ) ) )
% 5.44/5.74 <=> ! [V3t: $i] :
% 5.44/5.74 ( ( mem @ V3t @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V4x: $i] :
% 5.44/5.74 ( ( mem @ V4x @ A_27a )
% 5.44/5.74 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( arr @ A_27a @ bool ) ) @ V3t ) @ V1s ) )
% 5.44/5.74 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V4x ) @ V3t ) ) )
% 5.44/5.74 => ( p @ ( ap @ V0P @ V4x ) ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(ax_thm_2Epred__set_2EBIGINTER,axiom,
% 5.44/5.74 ! [A_27a: del,V0P: $i] :
% 5.44/5.74 ( ( mem @ V0P @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) )
% 5.44/5.74 => ( ( ap @ ( c_2Epred__set_2EBIGINTER @ A_27a ) @ V0P )
% 5.44/5.74 = ( ap @ ( c_2Epred__set_2EGSPEC @ A_27a @ A_27a )
% 5.44/5.74 @ ( lam @ A_27a
% 5.44/5.74 @ ^ [V1x: $i] :
% 5.44/5.74 ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ bool ) @ V1x )
% 5.44/5.74 @ ( ap @ ( c_2Ebool_2E_21 @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 @ ( lam @ ( arr @ A_27a @ bool )
% 5.44/5.74 @ ^ [V2s: $i] : ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( arr @ A_27a @ bool ) ) @ V2s ) @ V0P ) ) @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V1x ) @ V2s ) ) ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EIN__BIGINTER,axiom,
% 5.44/5.74 ! [A_27a: del,V0x: $i] :
% 5.44/5.74 ( ( mem @ V0x @ A_27a )
% 5.44/5.74 => ! [V1B: $i] :
% 5.44/5.74 ( ( mem @ V1B @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0x ) @ ( ap @ ( c_2Epred__set_2EBIGINTER @ A_27a ) @ V1B ) ) )
% 5.44/5.74 <=> ! [V2P: $i] :
% 5.44/5.74 ( ( mem @ V2P @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( arr @ A_27a @ bool ) ) @ V2P ) @ V1B ) )
% 5.44/5.74 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0x ) @ V2P ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EBIGINTER__applied,axiom,
% 5.44/5.74 ! [A_27a: del,V0B: $i] :
% 5.44/5.74 ( ( mem @ V0B @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) )
% 5.44/5.74 => ! [V1x: $i] :
% 5.44/5.74 ( ( mem @ V1x @ A_27a )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2EBIGINTER @ A_27a ) @ V0B ) @ V1x ) )
% 5.44/5.74 <=> ! [V2P: $i] :
% 5.44/5.74 ( ( mem @ V2P @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( arr @ A_27a @ bool ) ) @ V2P ) @ V0B ) )
% 5.44/5.74 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V1x ) @ V2P ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EIN__BIGINTER__IMAGE,axiom,
% 5.44/5.74 ! [A_27a: del,A_27b: del,V0x: $i] :
% 5.44/5.74 ( ( mem @ V0x @ A_27a )
% 5.44/5.74 => ! [V1f: $i] :
% 5.44/5.74 ( ( mem @ V1f @ ( arr @ A_27b @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.74 => ! [V2s: $i] :
% 5.44/5.74 ( ( mem @ V2s @ ( arr @ A_27b @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0x ) @ ( ap @ ( c_2Epred__set_2EBIGINTER @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27b @ ( arr @ A_27a @ bool ) ) @ V1f ) @ V2s ) ) ) )
% 5.44/5.74 <=> ! [V3y: $i] :
% 5.44/5.74 ( ( mem @ V3y @ A_27b )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ V3y ) @ V2s ) )
% 5.44/5.74 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0x ) @ ( ap @ V1f @ V3y ) ) ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EBIGINTER__INSERT,axiom,
% 5.44/5.74 ! [A_27a: del,V0P: $i] :
% 5.44/5.74 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V1B: $i] :
% 5.44/5.74 ( ( mem @ V1B @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) )
% 5.44/5.74 => ( ( ap @ ( c_2Epred__set_2EBIGINTER @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ ( arr @ A_27a @ bool ) ) @ V0P ) @ V1B ) )
% 5.44/5.74 = ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ V0P ) @ ( ap @ ( c_2Epred__set_2EBIGINTER @ A_27a ) @ V1B ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EBIGINTER__EMPTY,axiom,
% 5.44/5.74 ! [A_27a: del] :
% 5.44/5.74 ( ( ap @ ( c_2Epred__set_2EBIGINTER @ A_27a ) @ ( c_2Epred__set_2EEMPTY @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.74 = ( c_2Epred__set_2EUNIV @ A_27a ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EBIGINTER__INTER,axiom,
% 5.44/5.74 ! [A_27a: del,V0P: $i] :
% 5.44/5.74 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V1Q: $i] :
% 5.44/5.74 ( ( mem @ V1Q @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( ap @ ( c_2Epred__set_2EBIGINTER @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ ( arr @ A_27a @ bool ) ) @ V0P ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ ( arr @ A_27a @ bool ) ) @ V1Q ) @ ( c_2Epred__set_2EEMPTY @ ( arr @ A_27a @ bool ) ) ) ) )
% 5.44/5.74 = ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ V0P ) @ V1Q ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EBIGINTER__SING,axiom,
% 5.44/5.74 ! [A_27a: del,V0P: $i] :
% 5.44/5.74 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( ap @ ( c_2Epred__set_2EBIGINTER @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ ( arr @ A_27a @ bool ) ) @ V0P ) @ ( c_2Epred__set_2EEMPTY @ ( arr @ A_27a @ bool ) ) ) )
% 5.44/5.74 = V0P ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2ESUBSET__BIGINTER,axiom,
% 5.44/5.74 ! [A_27a: del,V0X: $i] :
% 5.44/5.74 ( ( mem @ V0X @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V1P: $i] :
% 5.44/5.74 ( ( mem @ V1P @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V0X ) @ ( ap @ ( c_2Epred__set_2EBIGINTER @ A_27a ) @ V1P ) ) )
% 5.44/5.74 <=> ! [V2Y: $i] :
% 5.44/5.74 ( ( mem @ V2Y @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( arr @ A_27a @ bool ) ) @ V2Y ) @ V1P ) )
% 5.44/5.74 => ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V0X ) @ V2Y ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EDISJOINT__BIGINTER,axiom,
% 5.44/5.74 ! [A_27a: del,V0X: $i] :
% 5.44/5.74 ( ( mem @ V0X @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V1Y: $i] :
% 5.44/5.74 ( ( mem @ V1Y @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V2P: $i] :
% 5.44/5.74 ( ( mem @ V2P @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) )
% 5.44/5.74 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( arr @ A_27a @ bool ) ) @ V1Y ) @ V2P ) )
% 5.44/5.74 & ( p @ ( ap @ ( ap @ ( c_2Epred__set_2EDISJOINT @ A_27a ) @ V1Y ) @ V0X ) ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2EDISJOINT @ A_27a ) @ V0X ) @ ( ap @ ( c_2Epred__set_2EBIGINTER @ A_27a ) @ V2P ) ) )
% 5.44/5.74 & ( p @ ( ap @ ( ap @ ( c_2Epred__set_2EDISJOINT @ A_27a ) @ ( ap @ ( c_2Epred__set_2EBIGINTER @ A_27a ) @ V2P ) ) @ V0X ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EBIGINTER__UNION,axiom,
% 5.44/5.74 ! [A_27a: del,V0s1: $i] :
% 5.44/5.74 ( ( mem @ V0s1 @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) )
% 5.44/5.74 => ! [V1s2: $i] :
% 5.44/5.74 ( ( mem @ V1s2 @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) )
% 5.44/5.74 => ( ( ap @ ( c_2Epred__set_2EBIGINTER @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ ( arr @ A_27a @ bool ) ) @ V0s1 ) @ V1s2 ) )
% 5.44/5.74 = ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ ( ap @ ( c_2Epred__set_2EBIGINTER @ A_27a ) @ V0s1 ) ) @ ( ap @ ( c_2Epred__set_2EBIGINTER @ A_27a ) @ V1s2 ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EBIGINTER__SUBSET,axiom,
% 5.44/5.74 ! [A_27a: del,V0sp: $i] :
% 5.44/5.74 ( ( mem @ V0sp @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V1s: $i] :
% 5.44/5.74 ( ( mem @ V1s @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) )
% 5.44/5.74 => ( ( ! [V2t: $i] :
% 5.44/5.74 ( ( mem @ V2t @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( arr @ A_27a @ bool ) ) @ V2t ) @ V1s ) )
% 5.44/5.74 => ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V2t ) @ V0sp ) ) ) )
% 5.44/5.74 & ( V1s
% 5.44/5.74 != ( c_2Epred__set_2EEMPTY @ ( arr @ A_27a @ bool ) ) ) )
% 5.44/5.74 => ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ ( ap @ ( c_2Epred__set_2EBIGINTER @ A_27a ) @ V1s ) ) @ V0sp ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EDIFF__BIGINTER1,axiom,
% 5.44/5.74 ! [A_27a: del,V0sp: $i] :
% 5.44/5.74 ( ( mem @ V0sp @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V1s: $i] :
% 5.44/5.74 ( ( mem @ V1s @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) )
% 5.44/5.74 => ( ( ap @ ( ap @ ( c_2Epred__set_2EDIFF @ A_27a ) @ V0sp ) @ ( ap @ ( c_2Epred__set_2EBIGINTER @ A_27a ) @ V1s ) )
% 5.44/5.74 = ( ap @ ( c_2Epred__set_2EBIGUNION @ A_27a )
% 5.44/5.74 @ ( ap
% 5.44/5.74 @ ( ap @ ( c_2Epred__set_2EIMAGE @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 @ ( lam @ ( arr @ A_27a @ bool )
% 5.44/5.74 @ ^ [V2u: $i] : ( ap @ ( ap @ ( c_2Epred__set_2EDIFF @ A_27a ) @ V0sp ) @ V2u ) ) )
% 5.44/5.74 @ V1s ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EDIFF__BIGINTER,axiom,
% 5.44/5.74 ! [A_27a: del,V0sp: $i] :
% 5.44/5.74 ( ( mem @ V0sp @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V1s: $i] :
% 5.44/5.74 ( ( mem @ V1s @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) )
% 5.44/5.74 => ( ( ! [V2t: $i] :
% 5.44/5.74 ( ( mem @ V2t @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( arr @ A_27a @ bool ) ) @ V2t ) @ V1s ) )
% 5.44/5.74 => ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V2t ) @ V0sp ) ) ) )
% 5.44/5.74 & ( V1s
% 5.44/5.74 != ( c_2Epred__set_2EEMPTY @ ( arr @ A_27a @ bool ) ) ) )
% 5.44/5.74 => ( ( ap @ ( c_2Epred__set_2EBIGINTER @ A_27a ) @ V1s )
% 5.44/5.74 = ( ap @ ( ap @ ( c_2Epred__set_2EDIFF @ A_27a ) @ V0sp )
% 5.44/5.74 @ ( ap @ ( c_2Epred__set_2EBIGUNION @ A_27a )
% 5.44/5.74 @ ( ap
% 5.44/5.74 @ ( ap @ ( c_2Epred__set_2EIMAGE @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 @ ( lam @ ( arr @ A_27a @ bool )
% 5.44/5.74 @ ^ [V3u: $i] : ( ap @ ( ap @ ( c_2Epred__set_2EDIFF @ A_27a ) @ V0sp ) @ V3u ) ) )
% 5.44/5.74 @ V1s ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EFINITE__BIGINTER,axiom,
% 5.44/5.74 ! [A_27a: del,V0P: $i] :
% 5.44/5.74 ( ( mem @ V0P @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) )
% 5.44/5.74 => ( ? [V1s: $i] :
% 5.44/5.74 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( arr @ A_27a @ bool ) ) @ V1s ) @ V0P ) )
% 5.44/5.74 & ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V1s ) ) )
% 5.44/5.74 => ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ ( ap @ ( c_2Epred__set_2EBIGINTER @ A_27a ) @ V0P ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(ax_thm_2Epred__set_2ECROSS__DEF,axiom,
% 5.44/5.74 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.44/5.74 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V1Q: $i] :
% 5.44/5.74 ( ( mem @ V1Q @ ( arr @ A_27b @ bool ) )
% 5.44/5.74 => ( ( ap @ ( ap @ ( c_2Epred__set_2ECROSS @ A_27a @ A_27b ) @ V0P ) @ V1Q )
% 5.44/5.74 = ( ap @ ( c_2Epred__set_2EGSPEC @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) )
% 5.44/5.74 @ ( lam @ ( ty_2Epair_2Eprod @ A_27a @ A_27b )
% 5.44/5.74 @ ^ [V2p: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ bool ) @ V2p ) @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ ( ap @ ( c_2Epair_2EFST @ A_27a @ A_27b ) @ V2p ) ) @ V0P ) ) @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ ( ap @ ( c_2Epair_2ESND @ A_27a @ A_27b ) @ V2p ) ) @ V1Q ) ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EIN__CROSS,axiom,
% 5.44/5.74 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.44/5.74 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V1Q: $i] :
% 5.44/5.74 ( ( mem @ V1Q @ ( arr @ A_27b @ bool ) )
% 5.44/5.74 => ! [V2x: $i] :
% 5.44/5.74 ( ( mem @ V2x @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ V2x ) @ ( ap @ ( ap @ ( c_2Epred__set_2ECROSS @ A_27a @ A_27b ) @ V0P ) @ V1Q ) ) )
% 5.44/5.74 <=> ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ ( ap @ ( c_2Epair_2EFST @ A_27a @ A_27b ) @ V2x ) ) @ V0P ) )
% 5.44/5.74 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ ( ap @ ( c_2Epair_2ESND @ A_27a @ A_27b ) @ V2x ) ) @ V1Q ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2ECROSS__applied,axiom,
% 5.44/5.74 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.44/5.74 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V1Q: $i] :
% 5.44/5.74 ( ( mem @ V1Q @ ( arr @ A_27b @ bool ) )
% 5.44/5.74 => ! [V2x: $i] :
% 5.44/5.74 ( ( mem @ V2x @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2ECROSS @ A_27a @ A_27b ) @ V0P ) @ V1Q ) @ V2x ) )
% 5.44/5.74 <=> ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ ( ap @ ( c_2Epair_2EFST @ A_27a @ A_27b ) @ V2x ) ) @ V0P ) )
% 5.44/5.74 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ ( ap @ ( c_2Epair_2ESND @ A_27a @ A_27b ) @ V2x ) ) @ V1Q ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2ECROSS__EMPTY,axiom,
% 5.44/5.74 ! [A_27a: del,A_27b: del,A_27c: del,V0P: $i] :
% 5.44/5.74 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( ( ap @ ( ap @ ( c_2Epred__set_2ECROSS @ A_27a @ A_27b ) @ V0P ) @ ( c_2Epred__set_2EEMPTY @ A_27b ) )
% 5.44/5.74 = ( c_2Epred__set_2EEMPTY @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) )
% 5.44/5.74 & ( ( ap @ ( ap @ ( c_2Epred__set_2ECROSS @ A_27c @ A_27a ) @ ( c_2Epred__set_2EEMPTY @ A_27c ) ) @ V0P )
% 5.44/5.74 = ( c_2Epred__set_2EEMPTY @ ( ty_2Epair_2Eprod @ A_27c @ A_27a ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2ECROSS__EMPTY__EQN,axiom,
% 5.44/5.74 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.44/5.74 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V1t: $i] :
% 5.44/5.74 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.44/5.74 => ( ( ( ap @ ( ap @ ( c_2Epred__set_2ECROSS @ A_27a @ A_27b ) @ V0s ) @ V1t )
% 5.44/5.74 = ( c_2Epred__set_2EEMPTY @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) )
% 5.44/5.74 <=> ( ( V0s
% 5.44/5.74 = ( c_2Epred__set_2EEMPTY @ A_27a ) )
% 5.44/5.74 | ( V1t
% 5.44/5.74 = ( c_2Epred__set_2EEMPTY @ A_27b ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2ECROSS__INSERT__LEFT,axiom,
% 5.44/5.74 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.44/5.74 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V1Q: $i] :
% 5.44/5.74 ( ( mem @ V1Q @ ( arr @ A_27b @ bool ) )
% 5.44/5.74 => ! [V2x: $i] :
% 5.44/5.74 ( ( mem @ V2x @ A_27a )
% 5.44/5.74 => ( ( ap @ ( ap @ ( c_2Epred__set_2ECROSS @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V2x ) @ V0P ) ) @ V1Q )
% 5.44/5.74 = ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2ECROSS @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V2x ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) @ V1Q ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2ECROSS @ A_27a @ A_27b ) @ V0P ) @ V1Q ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2ECROSS__INSERT__RIGHT,axiom,
% 5.44/5.74 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.44/5.74 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V1Q: $i] :
% 5.44/5.74 ( ( mem @ V1Q @ ( arr @ A_27b @ bool ) )
% 5.44/5.74 => ! [V2x: $i] :
% 5.44/5.74 ( ( mem @ V2x @ A_27b )
% 5.44/5.74 => ( ( ap @ ( ap @ ( c_2Epred__set_2ECROSS @ A_27a @ A_27b ) @ V0P ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27b ) @ V2x ) @ V1Q ) )
% 5.44/5.74 = ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2ECROSS @ A_27a @ A_27b ) @ V0P ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27b ) @ V2x ) @ ( c_2Epred__set_2EEMPTY @ A_27b ) ) ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2ECROSS @ A_27a @ A_27b ) @ V0P ) @ V1Q ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EFINITE__CROSS,axiom,
% 5.44/5.74 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.44/5.74 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V1Q: $i] :
% 5.44/5.74 ( ( mem @ V1Q @ ( arr @ A_27b @ bool ) )
% 5.44/5.74 => ( ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0P ) )
% 5.44/5.74 & ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27b ) @ V1Q ) ) )
% 5.44/5.74 => ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2ECROSS @ A_27a @ A_27b ) @ V0P ) @ V1Q ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2ECROSS__SINGS,axiom,
% 5.44/5.74 ! [A_27a: del,A_27b: del,V0x: $i] :
% 5.44/5.74 ( ( mem @ V0x @ A_27a )
% 5.44/5.74 => ! [V1y: $i] :
% 5.44/5.74 ( ( mem @ V1y @ A_27b )
% 5.44/5.74 => ( ( ap @ ( ap @ ( c_2Epred__set_2ECROSS @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V0x ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27b ) @ V1y ) @ ( c_2Epred__set_2EEMPTY @ A_27b ) ) )
% 5.44/5.74 = ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V0x ) @ V1y ) ) @ ( c_2Epred__set_2EEMPTY @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2ECARD__SING__CROSS,axiom,
% 5.44/5.74 ! [A_27a: del,A_27b: del,V0x: $i] :
% 5.44/5.74 ( ( mem @ V0x @ A_27a )
% 5.44/5.74 => ! [V1P: $i] :
% 5.44/5.74 ( ( mem @ V1P @ ( arr @ A_27b @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27b ) @ V1P ) )
% 5.44/5.74 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Epred__set_2ECARD @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2ECROSS @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V0x ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) @ V1P ) ) )
% 5.44/5.74 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Epred__set_2ECARD @ A_27b ) @ V1P ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2ECARD__CROSS,axiom,
% 5.44/5.74 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.44/5.74 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V1Q: $i] :
% 5.44/5.74 ( ( mem @ V1Q @ ( arr @ A_27b @ bool ) )
% 5.44/5.74 => ( ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0P ) )
% 5.44/5.74 & ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27b ) @ V1Q ) ) )
% 5.44/5.74 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Epred__set_2ECARD @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2ECROSS @ A_27a @ A_27b ) @ V0P ) @ V1Q ) ) )
% 5.44/5.74 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ V0P ) ) @ ( ap @ ( c_2Epred__set_2ECARD @ A_27b ) @ V1Q ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2ECROSS__SUBSET,axiom,
% 5.44/5.74 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.44/5.74 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V1Q: $i] :
% 5.44/5.74 ( ( mem @ V1Q @ ( arr @ A_27b @ bool ) )
% 5.44/5.74 => ! [V2P0: $i] :
% 5.44/5.74 ( ( mem @ V2P0 @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V3Q0: $i] :
% 5.44/5.74 ( ( mem @ V3Q0 @ ( arr @ A_27b @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2ECROSS @ A_27a @ A_27b ) @ V2P0 ) @ V3Q0 ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2ECROSS @ A_27a @ A_27b ) @ V0P ) @ V1Q ) ) )
% 5.44/5.74 <=> ( ( V2P0
% 5.44/5.74 = ( c_2Epred__set_2EEMPTY @ A_27a ) )
% 5.44/5.74 | ( V3Q0
% 5.44/5.74 = ( c_2Epred__set_2EEMPTY @ A_27b ) )
% 5.44/5.74 | ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V2P0 ) @ V0P ) )
% 5.44/5.74 & ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27b ) @ V3Q0 ) @ V1Q ) ) ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EFINITE__CROSS__EQ,axiom,
% 5.44/5.74 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.44/5.74 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V1Q: $i] :
% 5.44/5.74 ( ( mem @ V1Q @ ( arr @ A_27b @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2ECROSS @ A_27a @ A_27b ) @ V0P ) @ V1Q ) ) )
% 5.44/5.74 <=> ( ( V0P
% 5.44/5.74 = ( c_2Epred__set_2EEMPTY @ A_27a ) )
% 5.44/5.74 | ( V1Q
% 5.44/5.74 = ( c_2Epred__set_2EEMPTY @ A_27b ) )
% 5.44/5.74 | ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0P ) )
% 5.44/5.74 & ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27b ) @ V1Q ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2ECROSS__UNIV,axiom,
% 5.44/5.74 ! [A_27a: del,A_27b: del] :
% 5.44/5.74 ( ( c_2Epred__set_2EUNIV @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) )
% 5.44/5.74 = ( ap @ ( ap @ ( c_2Epred__set_2ECROSS @ A_27a @ A_27b ) @ ( c_2Epred__set_2EUNIV @ A_27a ) ) @ ( c_2Epred__set_2EUNIV @ A_27b ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EINFINITE__PAIR__UNIV,axiom,
% 5.44/5.74 ! [A_27a: del,A_27b: del] :
% 5.44/5.74 ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( c_2Epred__set_2EUNIV @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) ) )
% 5.44/5.74 <=> ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ ( c_2Epred__set_2EUNIV @ A_27a ) ) )
% 5.44/5.74 & ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27b ) @ ( c_2Epred__set_2EUNIV @ A_27b ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2ESUM__UNIV,axiom,
% 5.44/5.74 ! [A_27a: del,A_27b: del] :
% 5.44/5.74 ( ( c_2Epred__set_2EUNIV @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) )
% 5.44/5.74 = ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) ) @ ( c_2Esum_2EINL @ A_27a @ A_27b ) ) @ ( c_2Epred__set_2EUNIV @ A_27a ) ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27b @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) ) @ ( c_2Esum_2EINR @ A_27a @ A_27b ) ) @ ( c_2Epred__set_2EUNIV @ A_27b ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EINJ__INL,axiom,
% 5.44/5.74 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.44/5.74 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V1t: $i] :
% 5.44/5.74 ( ( mem @ V1t @ ( arr @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) @ bool ) )
% 5.44/5.74 => ( ! [V2x: $i] :
% 5.44/5.74 ( ( mem @ V2x @ A_27a )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V0s ) )
% 5.44/5.74 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) ) @ ( ap @ ( c_2Esum_2EINL @ A_27a @ A_27b ) @ V2x ) ) @ V1t ) ) ) )
% 5.44/5.74 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EINJ @ A_27a @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) ) @ ( c_2Esum_2EINL @ A_27a @ A_27b ) ) @ V0s ) @ V1t ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EINJ__INR,axiom,
% 5.44/5.74 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.44/5.74 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V1t: $i] :
% 5.44/5.74 ( ( mem @ V1t @ ( arr @ ( ty_2Esum_2Esum @ A_27b @ A_27a ) @ bool ) )
% 5.44/5.74 => ( ! [V2x: $i] :
% 5.44/5.74 ( ( mem @ V2x @ A_27a )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V0s ) )
% 5.44/5.74 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Esum_2Esum @ A_27b @ A_27a ) ) @ ( ap @ ( c_2Esum_2EINR @ A_27b @ A_27a ) @ V2x ) ) @ V1t ) ) ) )
% 5.44/5.74 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EINJ @ A_27a @ ( ty_2Esum_2Esum @ A_27b @ A_27a ) ) @ ( c_2Esum_2EINR @ A_27b @ A_27a ) ) @ V0s ) @ V1t ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(ax_thm_2Epred__set_2ECOMPL__DEF,axiom,
% 5.44/5.74 ! [A_27a: del,V0P: $i] :
% 5.44/5.74 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( ap @ ( c_2Epred__set_2ECOMPL @ A_27a ) @ V0P )
% 5.44/5.74 = ( ap @ ( ap @ ( c_2Epred__set_2EDIFF @ A_27a ) @ ( c_2Epred__set_2EUNIV @ A_27a ) ) @ V0P ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EIN__COMPL,axiom,
% 5.44/5.74 ! [A_27a: del,V0x: $i] :
% 5.44/5.74 ( ( mem @ V0x @ A_27a )
% 5.44/5.74 => ! [V1s: $i] :
% 5.44/5.74 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0x ) @ ( ap @ ( c_2Epred__set_2ECOMPL @ A_27a ) @ V1s ) ) )
% 5.44/5.74 <=> ~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0x ) @ V1s ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2ECOMPL__applied,axiom,
% 5.44/5.74 ! [A_27a: del,V0x: $i] :
% 5.44/5.74 ( ( mem @ V0x @ A_27a )
% 5.44/5.74 => ! [V1s: $i] :
% 5.44/5.74 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ECOMPL @ A_27a ) @ V1s ) @ V0x ) )
% 5.44/5.74 <=> ~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0x ) @ V1s ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2ECOMPL__COMPL,axiom,
% 5.44/5.74 ! [A_27a: del,V0s: $i] :
% 5.44/5.74 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( ap @ ( c_2Epred__set_2ECOMPL @ A_27a ) @ ( ap @ ( c_2Epred__set_2ECOMPL @ A_27a ) @ V0s ) )
% 5.44/5.74 = V0s ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2ECOMPL__CLAUSES,axiom,
% 5.44/5.74 ! [A_27a: del,V0s: $i] :
% 5.44/5.74 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ ( ap @ ( c_2Epred__set_2ECOMPL @ A_27a ) @ V0s ) ) @ V0s )
% 5.44/5.74 = ( c_2Epred__set_2EEMPTY @ A_27a ) )
% 5.44/5.74 & ( ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ ( ap @ ( c_2Epred__set_2ECOMPL @ A_27a ) @ V0s ) ) @ V0s )
% 5.44/5.74 = ( c_2Epred__set_2EUNIV @ A_27a ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2ECOMPL__SPLITS,axiom,
% 5.44/5.74 ! [A_27a: del,V0p: $i] :
% 5.44/5.74 ( ( mem @ V0p @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V1q: $i] :
% 5.44/5.74 ( ( mem @ V1q @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ V0p ) @ V1q ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ ( ap @ ( c_2Epred__set_2ECOMPL @ A_27a ) @ V0p ) ) @ V1q ) )
% 5.44/5.74 = V1q ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EINTER__UNION__COMPL,axiom,
% 5.44/5.74 ! [A_27a: del,V0s: $i] :
% 5.44/5.74 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V1t: $i] :
% 5.44/5.74 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ V0s ) @ V1t )
% 5.44/5.74 = ( ap @ ( c_2Epred__set_2ECOMPL @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ ( ap @ ( c_2Epred__set_2ECOMPL @ A_27a ) @ V0s ) ) @ ( ap @ ( c_2Epred__set_2ECOMPL @ A_27a ) @ V1t ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2ECOMPL__EMPTY,axiom,
% 5.44/5.74 ! [A_27a: del] :
% 5.44/5.74 ( ( ap @ ( c_2Epred__set_2ECOMPL @ A_27a ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) )
% 5.44/5.74 = ( c_2Epred__set_2EUNIV @ A_27a ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2ECOMPL__INTER,axiom,
% 5.44/5.74 ! [A_27a: del,V0x: $i] :
% 5.44/5.74 ( ( mem @ V0x @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ V0x ) @ ( ap @ ( c_2Epred__set_2ECOMPL @ A_27a ) @ V0x ) )
% 5.44/5.74 = ( c_2Epred__set_2EEMPTY @ A_27a ) )
% 5.44/5.74 & ( ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ ( ap @ ( c_2Epred__set_2ECOMPL @ A_27a ) @ V0x ) ) @ V0x )
% 5.44/5.74 = ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2ECOMPL__UNION,axiom,
% 5.44/5.74 ! [A_27a: del,V0s: $i] :
% 5.44/5.74 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V1t: $i] :
% 5.44/5.74 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( ap @ ( c_2Epred__set_2ECOMPL @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ V0s ) @ V1t ) )
% 5.44/5.74 = ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ ( ap @ ( c_2Epred__set_2ECOMPL @ A_27a ) @ V0s ) ) @ ( ap @ ( c_2Epred__set_2ECOMPL @ A_27a ) @ V1t ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EITSET__ind,axiom,
% 5.44/5.74 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.74 ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27b @ A_27b ) ) )
% 5.44/5.74 => ! [V1P: $i] :
% 5.44/5.74 ( ( mem @ V1P @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.74 => ( ! [V2s: $i] :
% 5.44/5.74 ( ( mem @ V2s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V3b: $i] :
% 5.44/5.74 ( ( mem @ V3b @ A_27b )
% 5.44/5.74 => ( ( ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V2s ) )
% 5.44/5.74 & ( V2s
% 5.44/5.74 != ( c_2Epred__set_2EEMPTY @ A_27a ) ) )
% 5.44/5.74 => ( p @ ( ap @ ( ap @ V1P @ ( ap @ ( c_2Epred__set_2EREST @ A_27a ) @ V2s ) ) @ ( ap @ ( ap @ V0f @ ( ap @ ( c_2Epred__set_2ECHOICE @ A_27a ) @ V2s ) ) @ V3b ) ) ) )
% 5.44/5.74 => ( p @ ( ap @ ( ap @ V1P @ V2s ) @ V3b ) ) ) ) )
% 5.44/5.74 => ! [V4v: $i] :
% 5.44/5.74 ( ( mem @ V4v @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V5v1: $i] :
% 5.44/5.74 ( ( mem @ V5v1 @ A_27b )
% 5.44/5.74 => ( p @ ( ap @ ( ap @ V1P @ V4v ) @ V5v1 ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EITSET__def,axiom,
% 5.44/5.74 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.44/5.74 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V1f: $i] :
% 5.44/5.74 ( ( mem @ V1f @ ( arr @ A_27a @ ( arr @ A_27b @ A_27b ) ) )
% 5.44/5.74 => ! [V2b: $i] :
% 5.44/5.74 ( ( mem @ V2b @ A_27b )
% 5.44/5.74 => ( ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EITSET @ A_27a @ A_27b ) @ V1f ) @ V0s ) @ V2b )
% 5.44/5.74 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ A_27b ) @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ A_27b ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( arr @ A_27a @ bool ) ) @ V0s ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) @ V2b ) @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EITSET @ A_27a @ A_27b ) @ V1f ) @ ( ap @ ( c_2Epred__set_2EREST @ A_27a ) @ V0s ) ) @ ( ap @ ( ap @ V1f @ ( ap @ ( c_2Epred__set_2ECHOICE @ A_27a ) @ V0s ) ) @ V2b ) ) ) ) @ ( c_2Ebool_2EARB @ A_27b ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EITSET__IND,axiom,
% 5.44/5.74 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.74 ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27b @ A_27b ) ) )
% 5.44/5.74 => ! [V1P: $i] :
% 5.44/5.74 ( ( mem @ V1P @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.74 => ( ! [V2s: $i] :
% 5.44/5.74 ( ( mem @ V2s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V3b: $i] :
% 5.44/5.74 ( ( mem @ V3b @ A_27b )
% 5.44/5.74 => ( ( ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V2s ) )
% 5.44/5.74 & ( V2s
% 5.44/5.74 != ( c_2Epred__set_2EEMPTY @ A_27a ) ) )
% 5.44/5.74 => ( p @ ( ap @ ( ap @ V1P @ ( ap @ ( c_2Epred__set_2EREST @ A_27a ) @ V2s ) ) @ ( ap @ ( ap @ V0f @ ( ap @ ( c_2Epred__set_2ECHOICE @ A_27a ) @ V2s ) ) @ V3b ) ) ) )
% 5.44/5.74 => ( p @ ( ap @ ( ap @ V1P @ V2s ) @ V3b ) ) ) ) )
% 5.44/5.74 => ! [V4v: $i] :
% 5.44/5.74 ( ( mem @ V4v @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V5v1: $i] :
% 5.44/5.74 ( ( mem @ V5v1 @ A_27b )
% 5.44/5.74 => ( p @ ( ap @ ( ap @ V1P @ V4v ) @ V5v1 ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EITSET__THM,axiom,
% 5.44/5.74 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.44/5.74 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V1f: $i] :
% 5.44/5.74 ( ( mem @ V1f @ ( arr @ A_27a @ ( arr @ A_27b @ A_27b ) ) )
% 5.44/5.74 => ! [V2b: $i] :
% 5.44/5.74 ( ( mem @ V2b @ A_27b )
% 5.44/5.74 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.44/5.74 => ( ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EITSET @ A_27a @ A_27b ) @ V1f ) @ V0s ) @ V2b )
% 5.44/5.74 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ A_27b ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( arr @ A_27a @ bool ) ) @ V0s ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) @ V2b ) @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EITSET @ A_27a @ A_27b ) @ V1f ) @ ( ap @ ( c_2Epred__set_2EREST @ A_27a ) @ V0s ) ) @ ( ap @ ( ap @ V1f @ ( ap @ ( c_2Epred__set_2ECHOICE @ A_27a ) @ V0s ) ) @ V2b ) ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EITSET__EMPTY,axiom,
% 5.44/5.74 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.74 ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27b @ A_27b ) ) )
% 5.44/5.74 => ! [V1b: $i] :
% 5.44/5.74 ( ( mem @ V1b @ A_27b )
% 5.44/5.74 => ( ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EITSET @ A_27a @ A_27b ) @ V0f ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) @ V1b )
% 5.44/5.74 = V1b ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EITSET__INSERT,axiom,
% 5.44/5.74 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.44/5.74 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.44/5.74 => ! [V1f: $i] :
% 5.44/5.74 ( ( mem @ V1f @ ( arr @ A_27a @ ( arr @ A_27b @ A_27b ) ) )
% 5.44/5.74 => ! [V2x: $i] :
% 5.44/5.74 ( ( mem @ V2x @ A_27a )
% 5.44/5.74 => ! [V3b: $i] :
% 5.44/5.74 ( ( mem @ V3b @ A_27b )
% 5.44/5.74 => ( ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EITSET @ A_27a @ A_27b ) @ V1f ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V2x ) @ V0s ) ) @ V3b )
% 5.44/5.74 = ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EITSET @ A_27a @ A_27b ) @ V1f ) @ ( ap @ ( c_2Epred__set_2EREST @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V2x ) @ V0s ) ) ) @ ( ap @ ( ap @ V1f @ ( ap @ ( c_2Epred__set_2ECHOICE @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V2x ) @ V0s ) ) ) @ V3b ) ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2ECOMMUTING__ITSET__INSERT,axiom,
% 5.44/5.74 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.74 ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27b @ A_27b ) ) )
% 5.44/5.74 => ! [V1s: $i] :
% 5.44/5.74 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( ! [V2x: $i] :
% 5.44/5.74 ( ( mem @ V2x @ A_27a )
% 5.44/5.74 => ! [V3y: $i] :
% 5.44/5.74 ( ( mem @ V3y @ A_27a )
% 5.44/5.74 => ! [V4z: $i] :
% 5.44/5.74 ( ( mem @ V4z @ A_27b )
% 5.44/5.74 => ( ( ap @ ( ap @ V0f @ V2x ) @ ( ap @ ( ap @ V0f @ V3y ) @ V4z ) )
% 5.44/5.74 = ( ap @ ( ap @ V0f @ V3y ) @ ( ap @ ( ap @ V0f @ V2x ) @ V4z ) ) ) ) ) )
% 5.44/5.74 & ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V1s ) ) )
% 5.44/5.74 => ! [V5x: $i] :
% 5.44/5.74 ( ( mem @ V5x @ A_27a )
% 5.44/5.74 => ! [V6b: $i] :
% 5.44/5.74 ( ( mem @ V6b @ A_27b )
% 5.44/5.74 => ( ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EITSET @ A_27a @ A_27b ) @ V0f ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V5x ) @ V1s ) ) @ V6b )
% 5.44/5.74 = ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EITSET @ A_27a @ A_27b ) @ V0f ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ A_27a ) @ V1s ) @ V5x ) ) @ ( ap @ ( ap @ V0f @ V5x ) @ V6b ) ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2ECOMMUTING__ITSET__RECURSES,axiom,
% 5.44/5.74 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.74 ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27b @ A_27b ) ) )
% 5.44/5.74 => ! [V1e: $i] :
% 5.44/5.74 ( ( mem @ V1e @ A_27a )
% 5.44/5.74 => ! [V2s: $i] :
% 5.44/5.74 ( ( mem @ V2s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V3b: $i] :
% 5.44/5.74 ( ( mem @ V3b @ A_27b )
% 5.44/5.74 => ( ( ! [V4x: $i] :
% 5.44/5.74 ( ( mem @ V4x @ A_27a )
% 5.44/5.74 => ! [V5y: $i] :
% 5.44/5.74 ( ( mem @ V5y @ A_27a )
% 5.44/5.74 => ! [V6z: $i] :
% 5.44/5.74 ( ( mem @ V6z @ A_27b )
% 5.44/5.74 => ( ( ap @ ( ap @ V0f @ V4x ) @ ( ap @ ( ap @ V0f @ V5y ) @ V6z ) )
% 5.44/5.74 = ( ap @ ( ap @ V0f @ V5y ) @ ( ap @ ( ap @ V0f @ V4x ) @ V6z ) ) ) ) ) )
% 5.44/5.74 & ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V2s ) ) )
% 5.44/5.74 => ( ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EITSET @ A_27a @ A_27b ) @ V0f ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V1e ) @ V2s ) ) @ V3b )
% 5.44/5.74 = ( ap @ ( ap @ V0f @ V1e ) @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EITSET @ A_27a @ A_27b ) @ V0f ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ A_27a ) @ V2s ) @ V1e ) ) @ V3b ) ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(ax_thm_2Epred__set_2ESUM__IMAGE__DEF,axiom,
% 5.44/5.74 ! [A_27a: del,V0f: $i] :
% 5.44/5.74 ( ( mem @ V0f @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.44/5.74 => ! [V1s: $i] :
% 5.44/5.74 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( c_2Epred__set_2ESUM__IMAGE @ A_27a ) @ V0f ) @ V1s ) )
% 5.44/5.74 = ( surj__ty_2Enum_2Enum
% 5.44/5.74 @ ( ap
% 5.44/5.74 @ ( ap
% 5.44/5.74 @ ( ap @ ( c_2Epred__set_2EITSET @ A_27a @ ty_2Enum_2Enum )
% 5.44/5.74 @ ( lam @ A_27a
% 5.44/5.74 @ ^ [V2e: $i] :
% 5.44/5.74 ( lam @ ty_2Enum_2Enum
% 5.44/5.74 @ ^ [V3acc: $i] : ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ V0f @ V2e ) ) @ V3acc ) ) ) )
% 5.44/5.74 @ V1s )
% 5.44/5.74 @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2ESUM__IMAGE__THM,axiom,
% 5.44/5.74 ! [A_27a: del,V0f: $i] :
% 5.44/5.74 ( ( mem @ V0f @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.44/5.74 => ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( c_2Epred__set_2ESUM__IMAGE @ A_27a ) @ V0f ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) )
% 5.44/5.74 = fo__c_2Enum_2E0 )
% 5.44/5.74 & ! [V1e: $i] :
% 5.44/5.74 ( ( mem @ V1e @ A_27a )
% 5.44/5.74 => ! [V2s: $i] :
% 5.44/5.74 ( ( mem @ V2s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V2s ) )
% 5.44/5.74 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( c_2Epred__set_2ESUM__IMAGE @ A_27a ) @ V0f ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V1e ) @ V2s ) ) )
% 5.44/5.74 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ V0f @ V1e ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2ESUM__IMAGE @ A_27a ) @ V0f ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ A_27a ) @ V2s ) @ V1e ) ) ) ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2ESUM__IMAGE__SING,axiom,
% 5.44/5.74 ! [A_27a: del,V0f: $i] :
% 5.44/5.74 ( ( mem @ V0f @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.44/5.74 => ! [V1e: $i] :
% 5.44/5.74 ( ( mem @ V1e @ A_27a )
% 5.44/5.74 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( c_2Epred__set_2ESUM__IMAGE @ A_27a ) @ V0f ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V1e ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) )
% 5.44/5.74 = ( surj__ty_2Enum_2Enum @ ( ap @ V0f @ V1e ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2ESUM__IMAGE__SUBSET__LE,axiom,
% 5.44/5.74 ! [A_27a: del,V0f: $i] :
% 5.44/5.74 ( ( mem @ V0f @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.44/5.74 => ! [V1s: $i] :
% 5.44/5.74 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V2t: $i] :
% 5.44/5.74 ( ( mem @ V2t @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V1s ) )
% 5.44/5.74 & ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V2t ) @ V1s ) ) )
% 5.44/5.74 => ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ ( c_2Epred__set_2ESUM__IMAGE @ A_27a ) @ V0f ) @ V2t ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2ESUM__IMAGE @ A_27a ) @ V0f ) @ V1s ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2ESUM__IMAGE__IN__LE,axiom,
% 5.44/5.74 ! [A_27a: del,V0f: $i] :
% 5.44/5.74 ( ( mem @ V0f @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.44/5.74 => ! [V1s: $i] :
% 5.44/5.74 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V2e: $i] :
% 5.44/5.74 ( ( mem @ V2e @ A_27a )
% 5.44/5.74 => ( ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V1s ) )
% 5.44/5.74 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2e ) @ V1s ) ) )
% 5.44/5.74 => ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ V0f @ V2e ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2ESUM__IMAGE @ A_27a ) @ V0f ) @ V1s ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2ESUM__IMAGE__DELETE,axiom,
% 5.44/5.74 ! [A_27a: del,V0f: $i] :
% 5.44/5.74 ( ( mem @ V0f @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.44/5.74 => ! [V1s: $i] :
% 5.44/5.74 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V1s ) )
% 5.44/5.74 => ! [V2e: $i] :
% 5.44/5.74 ( ( mem @ V2e @ A_27a )
% 5.44/5.74 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( c_2Epred__set_2ESUM__IMAGE @ A_27a ) @ V0f ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ A_27a ) @ V1s ) @ V2e ) ) )
% 5.44/5.74 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2e ) @ V1s ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ ( ap @ ( c_2Epred__set_2ESUM__IMAGE @ A_27a ) @ V0f ) @ V1s ) ) @ ( ap @ V0f @ V2e ) ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2ESUM__IMAGE @ A_27a ) @ V0f ) @ V1s ) ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2ESUM__IMAGE__UNION,axiom,
% 5.44/5.74 ! [A_27a: del,V0f: $i] :
% 5.44/5.74 ( ( mem @ V0f @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.44/5.74 => ! [V1s: $i] :
% 5.44/5.74 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V2t: $i] :
% 5.44/5.74 ( ( mem @ V2t @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V1s ) )
% 5.44/5.74 & ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V2t ) ) )
% 5.44/5.74 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( c_2Epred__set_2ESUM__IMAGE @ A_27a ) @ V0f ) @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ V1s ) @ V2t ) ) )
% 5.44/5.74 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ ( c_2Epred__set_2ESUM__IMAGE @ A_27a ) @ V0f ) @ V1s ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2ESUM__IMAGE @ A_27a ) @ V0f ) @ V2t ) ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2ESUM__IMAGE @ A_27a ) @ V0f ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ V1s ) @ V2t ) ) ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2ESUM__IMAGE__lower__bound,axiom,
% 5.44/5.74 ! [A_27a: del,V0f: $i] :
% 5.44/5.74 ( ( mem @ V0f @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.44/5.74 => ! [V1s: $i] :
% 5.44/5.74 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V1s ) )
% 5.44/5.74 => ! [V2n: tp__ty_2Enum_2Enum] :
% 5.44/5.74 ( ! [V3x: $i] :
% 5.44/5.74 ( ( mem @ V3x @ A_27a )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3x ) @ V1s ) )
% 5.44/5.74 => ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( ap @ V0f @ V3x ) ) ) ) )
% 5.44/5.74 => ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ V1s ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2ESUM__IMAGE @ A_27a ) @ V0f ) @ V1s ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2ESUM__IMAGE__upper__bound,axiom,
% 5.44/5.74 ! [A_27a: del,V0f: $i] :
% 5.44/5.74 ( ( mem @ V0f @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.44/5.74 => ! [V1s: $i] :
% 5.44/5.74 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V1s ) )
% 5.44/5.74 => ! [V2n: tp__ty_2Enum_2Enum] :
% 5.44/5.74 ( ! [V3x: $i] :
% 5.44/5.74 ( ( mem @ V3x @ A_27a )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3x ) @ V1s ) )
% 5.44/5.74 => ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ V0f @ V3x ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) )
% 5.44/5.74 => ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ ( c_2Epred__set_2ESUM__IMAGE @ A_27a ) @ V0f ) @ V1s ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ V1s ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2ESUM__SAME__IMAGE,axiom,
% 5.44/5.74 ! [A_27a: del,V0P: $i] :
% 5.44/5.74 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0P ) )
% 5.44/5.74 => ! [V1f: $i] :
% 5.44/5.74 ( ( mem @ V1f @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.44/5.74 => ! [V2p: $i] :
% 5.44/5.74 ( ( mem @ V2p @ A_27a )
% 5.44/5.74 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2p ) @ V0P ) )
% 5.44/5.74 & ! [V3q: $i] :
% 5.44/5.74 ( ( mem @ V3q @ A_27a )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3q ) @ V0P ) )
% 5.44/5.74 => ( ( surj__ty_2Enum_2Enum @ ( ap @ V1f @ V2p ) )
% 5.44/5.74 = ( surj__ty_2Enum_2Enum @ ( ap @ V1f @ V3q ) ) ) ) ) )
% 5.44/5.74 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( c_2Epred__set_2ESUM__IMAGE @ A_27a ) @ V1f ) @ V0P ) )
% 5.44/5.74 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ V0P ) ) @ ( ap @ V1f @ V2p ) ) ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2ESUM__IMAGE__CONG,axiom,
% 5.44/5.74 ! [A_27a: del,V0s1: $i] :
% 5.44/5.74 ( ( mem @ V0s1 @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V1s2: $i] :
% 5.44/5.74 ( ( mem @ V1s2 @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V2f1: $i] :
% 5.44/5.74 ( ( mem @ V2f1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.44/5.74 => ! [V3f2: $i] :
% 5.44/5.74 ( ( mem @ V3f2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.44/5.74 => ( ( ( V0s1 = V1s2 )
% 5.44/5.74 & ! [V4x: $i] :
% 5.44/5.74 ( ( mem @ V4x @ A_27a )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V4x ) @ V1s2 ) )
% 5.44/5.74 => ( ( surj__ty_2Enum_2Enum @ ( ap @ V2f1 @ V4x ) )
% 5.44/5.74 = ( surj__ty_2Enum_2Enum @ ( ap @ V3f2 @ V4x ) ) ) ) ) )
% 5.44/5.74 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( c_2Epred__set_2ESUM__IMAGE @ A_27a ) @ V2f1 ) @ V0s1 ) )
% 5.44/5.74 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( c_2Epred__set_2ESUM__IMAGE @ A_27a ) @ V3f2 ) @ V1s2 ) ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2ESUM__IMAGE__ZERO,axiom,
% 5.44/5.74 ! [A_27a: del,V0f: $i] :
% 5.44/5.74 ( ( mem @ V0f @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.44/5.74 => ! [V1s: $i] :
% 5.44/5.74 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V1s ) )
% 5.44/5.74 => ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( c_2Epred__set_2ESUM__IMAGE @ A_27a ) @ V0f ) @ V1s ) )
% 5.44/5.74 = fo__c_2Enum_2E0 )
% 5.44/5.74 <=> ! [V2x: $i] :
% 5.44/5.74 ( ( mem @ V2x @ A_27a )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V1s ) )
% 5.44/5.74 => ( ( surj__ty_2Enum_2Enum @ ( ap @ V0f @ V2x ) )
% 5.44/5.74 = fo__c_2Enum_2E0 ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EABS__DIFF__SUM__IMAGE,axiom,
% 5.44/5.74 ! [A_27a: del,V0f: $i] :
% 5.44/5.74 ( ( mem @ V0f @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.44/5.74 => ! [V1g: $i] :
% 5.44/5.74 ( ( mem @ V1g @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.44/5.74 => ! [V2s: $i] :
% 5.44/5.74 ( ( mem @ V2s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V2s ) )
% 5.44/5.74 => ( p
% 5.44/5.74 @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2EABS__DIFF @ ( ap @ ( ap @ ( c_2Epred__set_2ESUM__IMAGE @ A_27a ) @ V0f ) @ V2s ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2ESUM__IMAGE @ A_27a ) @ V1g ) @ V2s ) ) )
% 5.44/5.74 @ ( ap
% 5.44/5.74 @ ( ap @ ( c_2Epred__set_2ESUM__IMAGE @ A_27a )
% 5.44/5.74 @ ( lam @ A_27a
% 5.44/5.74 @ ^ [V3x: $i] : ( ap @ ( ap @ c_2Earithmetic_2EABS__DIFF @ ( ap @ V0f @ V3x ) ) @ ( ap @ V1g @ V3x ) ) ) )
% 5.44/5.74 @ V2s ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2ESUM__IMAGE__MONO__LESS__EQ,axiom,
% 5.44/5.74 ! [A_27a: del,V0f: $i] :
% 5.44/5.74 ( ( mem @ V0f @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.44/5.74 => ! [V1g: $i] :
% 5.44/5.74 ( ( mem @ V1g @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.44/5.74 => ! [V2s: $i] :
% 5.44/5.74 ( ( mem @ V2s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V2s ) )
% 5.44/5.74 => ( ! [V3x: $i] :
% 5.44/5.74 ( ( mem @ V3x @ A_27a )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3x ) @ V2s ) )
% 5.44/5.74 => ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ V0f @ V3x ) ) @ ( ap @ V1g @ V3x ) ) ) ) )
% 5.44/5.74 => ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ ( c_2Epred__set_2ESUM__IMAGE @ A_27a ) @ V0f ) @ V2s ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2ESUM__IMAGE @ A_27a ) @ V1g ) @ V2s ) ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2ESUM__IMAGE__MONO__LESS,axiom,
% 5.44/5.74 ! [A_27a: del,V0f: $i] :
% 5.44/5.74 ( ( mem @ V0f @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.44/5.74 => ! [V1g: $i] :
% 5.44/5.74 ( ( mem @ V1g @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.44/5.74 => ! [V2s: $i] :
% 5.44/5.74 ( ( mem @ V2s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V2s ) )
% 5.44/5.74 => ( ( ? [V3x: $i] :
% 5.44/5.74 ( ( mem @ V3x @ A_27a )
% 5.44/5.74 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3x ) @ V2s ) )
% 5.44/5.74 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ V0f @ V3x ) ) @ ( ap @ V1g @ V3x ) ) ) )
% 5.44/5.74 & ! [V4x: $i] :
% 5.44/5.74 ( ( mem @ V4x @ A_27a )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V4x ) @ V2s ) )
% 5.44/5.74 => ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ V0f @ V4x ) ) @ ( ap @ V1g @ V4x ) ) ) ) ) )
% 5.44/5.74 => ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ ( ap @ ( c_2Epred__set_2ESUM__IMAGE @ A_27a ) @ V0f ) @ V2s ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2ESUM__IMAGE @ A_27a ) @ V1g ) @ V2s ) ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2ESUM__IMAGE__INJ__o,axiom,
% 5.44/5.74 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.44/5.74 ( ( mem @ V0s @ ( arr @ A_27b @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27b ) @ V0s ) )
% 5.44/5.74 => ! [V1g: $i] :
% 5.44/5.74 ( ( mem @ V1g @ ( arr @ A_27b @ A_27a ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EINJ @ A_27b @ A_27a ) @ V1g ) @ V0s ) @ ( c_2Epred__set_2EUNIV @ A_27a ) ) )
% 5.44/5.74 => ! [V2f: $i] :
% 5.44/5.74 ( ( mem @ V2f @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.44/5.74 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( c_2Epred__set_2ESUM__IMAGE @ A_27a ) @ V2f ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27b @ A_27a ) @ V1g ) @ V0s ) ) )
% 5.44/5.74 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( c_2Epred__set_2ESUM__IMAGE @ A_27b ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ty_2Enum_2Enum @ A_27a ) @ V2f ) @ V1g ) ) @ V0s ) ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2ESUM__IMAGE__PERMUTES,axiom,
% 5.44/5.74 ! [A_27a: del,V0s: $i] :
% 5.44/5.74 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.44/5.74 => ! [V1g: $i] :
% 5.44/5.74 ( ( mem @ V1g @ ( arr @ A_27a @ A_27a ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EBIJ @ A_27a @ A_27a ) @ V1g ) @ V0s ) @ V0s ) )
% 5.44/5.74 => ! [V2f: $i] :
% 5.44/5.74 ( ( mem @ V2f @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.44/5.74 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( c_2Epred__set_2ESUM__IMAGE @ A_27a ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27a @ ty_2Enum_2Enum @ A_27a ) @ V2f ) @ V1g ) ) @ V0s ) )
% 5.44/5.74 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( c_2Epred__set_2ESUM__IMAGE @ A_27a ) @ V2f ) @ V0s ) ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(ax_thm_2Epred__set_2ESUM__SET__DEF,axiom,
% 5.44/5.74 ( c_2Epred__set_2ESUM__SET
% 5.44/5.74 = ( ap @ ( c_2Epred__set_2ESUM__IMAGE @ ty_2Enum_2Enum ) @ ( c_2Ecombin_2EI @ ty_2Enum_2Enum ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2ESUM__SET__THM,axiom,
% 5.44/5.74 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Epred__set_2ESUM__SET @ ( c_2Epred__set_2EEMPTY @ ty_2Enum_2Enum ) ) )
% 5.44/5.74 = fo__c_2Enum_2E0 )
% 5.44/5.74 & ! [V0x: tp__ty_2Enum_2Enum,V1s: $i] :
% 5.44/5.74 ( ( mem @ V1s @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ ty_2Enum_2Enum ) @ V1s ) )
% 5.44/5.74 => ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Epred__set_2ESUM__SET @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ V1s ) ) )
% 5.44/5.74 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( ap @ c_2Epred__set_2ESUM__SET @ ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ ty_2Enum_2Enum ) @ V1s ) @ ( inj__ty_2Enum_2Enum @ V0x ) ) ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2ESUM__SET__EMPTY,axiom,
% 5.44/5.74 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Epred__set_2ESUM__SET @ ( c_2Epred__set_2EEMPTY @ ty_2Enum_2Enum ) ) )
% 5.44/5.74 = fo__c_2Enum_2E0 ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2ESUM__SET__SING,axiom,
% 5.44/5.74 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.74 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Epred__set_2ESUM__SET @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( c_2Epred__set_2EEMPTY @ ty_2Enum_2Enum ) ) ) )
% 5.44/5.74 = V0n ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2ESUM__SET__SUBSET__LE,axiom,
% 5.44/5.74 ! [V0s: $i] :
% 5.44/5.74 ( ( mem @ V0s @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.44/5.74 => ! [V1t: $i] :
% 5.44/5.74 ( ( mem @ V1t @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.44/5.74 => ( ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ ty_2Enum_2Enum ) @ V1t ) )
% 5.44/5.74 & ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ ty_2Enum_2Enum ) @ V0s ) @ V1t ) ) )
% 5.44/5.74 => ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Epred__set_2ESUM__SET @ V0s ) ) @ ( ap @ c_2Epred__set_2ESUM__SET @ V1t ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2ESUM__SET__IN__LE,axiom,
% 5.44/5.74 ! [V0x: tp__ty_2Enum_2Enum,V1s: $i] :
% 5.44/5.74 ( ( mem @ V1s @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.44/5.74 => ( ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ ty_2Enum_2Enum ) @ V1s ) )
% 5.44/5.74 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ V1s ) ) )
% 5.44/5.74 => ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( ap @ c_2Epred__set_2ESUM__SET @ V1s ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2ESUM__SET__DELETE,axiom,
% 5.44/5.74 ! [V0s: $i] :
% 5.44/5.74 ( ( mem @ V0s @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ ty_2Enum_2Enum ) @ V0s ) )
% 5.44/5.74 => ! [V1e: tp__ty_2Enum_2Enum] :
% 5.44/5.74 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Epred__set_2ESUM__SET @ ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ ty_2Enum_2Enum ) @ V0s ) @ ( inj__ty_2Enum_2Enum @ V1e ) ) ) )
% 5.44/5.74 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V1e ) ) @ V0s ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ c_2Epred__set_2ESUM__SET @ V0s ) ) @ ( inj__ty_2Enum_2Enum @ V1e ) ) ) @ ( ap @ c_2Epred__set_2ESUM__SET @ V0s ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2ESUM__SET__UNION,axiom,
% 5.44/5.74 ! [V0s: $i] :
% 5.44/5.74 ( ( mem @ V0s @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.44/5.74 => ! [V1t: $i] :
% 5.44/5.74 ( ( mem @ V1t @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.44/5.74 => ( ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ ty_2Enum_2Enum ) @ V0s ) )
% 5.44/5.74 & ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ ty_2Enum_2Enum ) @ V1t ) ) )
% 5.44/5.74 => ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Epred__set_2ESUM__SET @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ ty_2Enum_2Enum ) @ V0s ) @ V1t ) ) )
% 5.44/5.74 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Epred__set_2ESUM__SET @ V0s ) ) @ ( ap @ c_2Epred__set_2ESUM__SET @ V1t ) ) ) @ ( ap @ c_2Epred__set_2ESUM__SET @ ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ ty_2Enum_2Enum ) @ V0s ) @ V1t ) ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(ax_thm_2Epred__set_2EPROD__IMAGE__DEF,axiom,
% 5.44/5.74 ! [A_27a: del,V0f: $i] :
% 5.44/5.74 ( ( mem @ V0f @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.44/5.74 => ! [V1s: $i] :
% 5.44/5.74 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( c_2Epred__set_2EPROD__IMAGE @ A_27a ) @ V0f ) @ V1s ) )
% 5.44/5.74 = ( surj__ty_2Enum_2Enum
% 5.44/5.74 @ ( ap
% 5.44/5.74 @ ( ap
% 5.44/5.74 @ ( ap @ ( c_2Epred__set_2EITSET @ A_27a @ ty_2Enum_2Enum )
% 5.44/5.74 @ ( lam @ A_27a
% 5.44/5.74 @ ^ [V2e: $i] :
% 5.44/5.74 ( lam @ ty_2Enum_2Enum
% 5.44/5.74 @ ^ [V3acc: $i] : ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ V0f @ V2e ) ) @ V3acc ) ) ) )
% 5.44/5.74 @ V1s )
% 5.44/5.74 @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EPROD__IMAGE__THM,axiom,
% 5.44/5.74 ! [A_27a: del,V0f: $i] :
% 5.44/5.74 ( ( mem @ V0f @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.44/5.74 => ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( c_2Epred__set_2EPROD__IMAGE @ A_27a ) @ V0f ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) )
% 5.44/5.74 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.44/5.74 & ! [V1e: $i] :
% 5.44/5.74 ( ( mem @ V1e @ A_27a )
% 5.44/5.74 => ! [V2s: $i] :
% 5.44/5.74 ( ( mem @ V2s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V2s ) )
% 5.44/5.74 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( c_2Epred__set_2EPROD__IMAGE @ A_27a ) @ V0f ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V1e ) @ V2s ) ) )
% 5.44/5.74 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ V0f @ V1e ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2EPROD__IMAGE @ A_27a ) @ V0f ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ A_27a ) @ V2s ) @ V1e ) ) ) ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(ax_thm_2Epred__set_2EPROD__SET__DEF,axiom,
% 5.44/5.74 ( c_2Epred__set_2EPROD__SET
% 5.44/5.74 = ( ap @ ( c_2Epred__set_2EPROD__IMAGE @ ty_2Enum_2Enum ) @ ( c_2Ecombin_2EI @ ty_2Enum_2Enum ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EPROD__SET__THM,axiom,
% 5.44/5.74 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Epred__set_2EPROD__SET @ ( c_2Epred__set_2EEMPTY @ ty_2Enum_2Enum ) ) )
% 5.44/5.74 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.44/5.74 & ! [V0x: tp__ty_2Enum_2Enum,V1s: $i] :
% 5.44/5.74 ( ( mem @ V1s @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ ty_2Enum_2Enum ) @ V1s ) )
% 5.44/5.74 => ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Epred__set_2EPROD__SET @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ V1s ) ) )
% 5.44/5.74 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( ap @ c_2Epred__set_2EPROD__SET @ ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ ty_2Enum_2Enum ) @ V1s ) @ ( inj__ty_2Enum_2Enum @ V0x ) ) ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EPROD__SET__EMPTY,axiom,
% 5.44/5.74 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Epred__set_2EPROD__SET @ ( c_2Epred__set_2EEMPTY @ ty_2Enum_2Enum ) ) )
% 5.44/5.74 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EPROD__SET__IMAGE__REDUCTION,axiom,
% 5.44/5.74 ! [A_27a: del,V0f: $i] :
% 5.44/5.74 ( ( mem @ V0f @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.44/5.74 => ! [V1s: $i] :
% 5.44/5.74 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V2x: $i] :
% 5.44/5.74 ( ( mem @ V2x @ A_27a )
% 5.44/5.74 => ( ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ ty_2Enum_2Enum ) @ V0f ) @ V1s ) ) )
% 5.44/5.74 & ~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ty_2Enum_2Enum ) @ ( ap @ V0f @ V2x ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ ty_2Enum_2Enum ) @ V0f ) @ V1s ) ) ) )
% 5.44/5.74 => ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Epred__set_2EPROD__SET @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ ty_2Enum_2Enum ) @ V0f ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V2x ) @ V1s ) ) ) )
% 5.44/5.74 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ V0f @ V2x ) ) @ ( ap @ c_2Epred__set_2EPROD__SET @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ ty_2Enum_2Enum ) @ V0f ) @ V1s ) ) ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(ax_thm_2Epred__set_2EMAX__SET__DEF,axiom,
% 5.44/5.74 ! [V0s: $i] :
% 5.44/5.74 ( ( mem @ V0s @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ ty_2Enum_2Enum ) @ V0s ) )
% 5.44/5.74 => ( ( ( V0s
% 5.44/5.74 != ( c_2Epred__set_2EEMPTY @ ty_2Enum_2Enum ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ty_2Enum_2Enum ) @ ( ap @ c_2Epred__set_2EMAX__SET @ V0s ) ) @ V0s ) )
% 5.44/5.74 & ! [V1y: tp__ty_2Enum_2Enum] :
% 5.44/5.74 ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V1y ) ) @ V0s ) )
% 5.44/5.74 => ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1y ) ) @ ( ap @ c_2Epred__set_2EMAX__SET @ V0s ) ) ) ) ) )
% 5.44/5.74 & ( ( V0s
% 5.44/5.74 = ( c_2Epred__set_2EEMPTY @ ty_2Enum_2Enum ) )
% 5.44/5.74 => ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Epred__set_2EMAX__SET @ V0s ) )
% 5.44/5.74 = fo__c_2Enum_2E0 ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EMAX__SET__THM,axiom,
% 5.44/5.74 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Epred__set_2EMAX__SET @ ( c_2Epred__set_2EEMPTY @ ty_2Enum_2Enum ) ) )
% 5.44/5.74 = fo__c_2Enum_2E0 )
% 5.44/5.74 & ! [V0e: tp__ty_2Enum_2Enum,V1s: $i] :
% 5.44/5.74 ( ( mem @ V1s @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ ty_2Enum_2Enum ) @ V1s ) )
% 5.44/5.74 => ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Epred__set_2EMAX__SET @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V0e ) ) @ V1s ) ) )
% 5.44/5.74 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMAX @ ( inj__ty_2Enum_2Enum @ V0e ) ) @ ( ap @ c_2Epred__set_2EMAX__SET @ V1s ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EMAX__SET__REWRITES,axiom,
% 5.44/5.74 ! [V0e: tp__ty_2Enum_2Enum] :
% 5.44/5.74 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Epred__set_2EMAX__SET @ ( c_2Epred__set_2EEMPTY @ ty_2Enum_2Enum ) ) )
% 5.44/5.74 = fo__c_2Enum_2E0 )
% 5.44/5.74 & ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Epred__set_2EMAX__SET @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V0e ) ) @ ( c_2Epred__set_2EEMPTY @ ty_2Enum_2Enum ) ) ) )
% 5.44/5.74 = V0e ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EMAX__SET__ELIM,axiom,
% 5.44/5.74 ! [V0P: $i] :
% 5.44/5.74 ( ( mem @ V0P @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.44/5.74 => ! [V1Q: $i] :
% 5.44/5.74 ( ( mem @ V1Q @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.44/5.74 => ( ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ ty_2Enum_2Enum ) @ V0P ) )
% 5.44/5.74 & ( ( V0P
% 5.44/5.74 = ( c_2Epred__set_2EEMPTY @ ty_2Enum_2Enum ) )
% 5.44/5.74 => ( p @ ( ap @ V1Q @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) )
% 5.44/5.74 & ! [V2x: tp__ty_2Enum_2Enum] :
% 5.44/5.74 ( ( ! [V3y: tp__ty_2Enum_2Enum] :
% 5.44/5.74 ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V3y ) ) @ V0P ) )
% 5.44/5.74 => ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V3y ) ) @ ( inj__ty_2Enum_2Enum @ V2x ) ) ) )
% 5.44/5.74 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V2x ) ) @ V0P ) ) )
% 5.44/5.74 => ( p @ ( ap @ V1Q @ ( inj__ty_2Enum_2Enum @ V2x ) ) ) ) )
% 5.44/5.74 => ( p @ ( ap @ V1Q @ ( ap @ c_2Epred__set_2EMAX__SET @ V0P ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(ax_thm_2Epred__set_2EMIN__SET__DEF,axiom,
% 5.44/5.74 c_2Epred__set_2EMIN__SET = c_2Ewhile_2ELEAST ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EMIN__SET__ELIM,axiom,
% 5.44/5.74 ! [V0P: $i] :
% 5.44/5.74 ( ( mem @ V0P @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.44/5.74 => ! [V1Q: $i] :
% 5.44/5.74 ( ( mem @ V1Q @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.44/5.74 => ( ( ( V0P
% 5.44/5.74 != ( c_2Epred__set_2EEMPTY @ ty_2Enum_2Enum ) )
% 5.44/5.74 & ! [V2x: tp__ty_2Enum_2Enum] :
% 5.44/5.74 ( ( ! [V3y: tp__ty_2Enum_2Enum] :
% 5.44/5.74 ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V3y ) ) @ V0P ) )
% 5.44/5.74 => ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V2x ) ) @ ( inj__ty_2Enum_2Enum @ V3y ) ) ) )
% 5.44/5.74 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V2x ) ) @ V0P ) ) )
% 5.44/5.74 => ( p @ ( ap @ V1Q @ ( inj__ty_2Enum_2Enum @ V2x ) ) ) ) )
% 5.44/5.74 => ( p @ ( ap @ V1Q @ ( ap @ c_2Epred__set_2EMIN__SET @ V0P ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EMIN__SET__THM,axiom,
% 5.44/5.74 ( ! [V0e: tp__ty_2Enum_2Enum] :
% 5.44/5.74 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Epred__set_2EMIN__SET @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V0e ) ) @ ( c_2Epred__set_2EEMPTY @ ty_2Enum_2Enum ) ) ) )
% 5.44/5.74 = V0e )
% 5.44/5.74 & ! [V1s: $i] :
% 5.44/5.74 ( ( mem @ V1s @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.44/5.74 => ! [V2e1: tp__ty_2Enum_2Enum,V3e2: tp__ty_2Enum_2Enum] :
% 5.44/5.74 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Epred__set_2EMIN__SET @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V2e1 ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V3e2 ) ) @ V1s ) ) ) )
% 5.44/5.74 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMIN @ ( inj__ty_2Enum_2Enum @ V2e1 ) ) @ ( ap @ c_2Epred__set_2EMIN__SET @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V3e2 ) ) @ V1s ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EMIN__SET__LEM,axiom,
% 5.44/5.74 ! [V0s: $i] :
% 5.44/5.74 ( ( mem @ V0s @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.44/5.74 => ( ( V0s
% 5.44/5.74 != ( c_2Epred__set_2EEMPTY @ ty_2Enum_2Enum ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ty_2Enum_2Enum ) @ ( ap @ c_2Epred__set_2EMIN__SET @ V0s ) ) @ V0s ) )
% 5.44/5.74 & ! [V1x: tp__ty_2Enum_2Enum] :
% 5.44/5.74 ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ V0s ) )
% 5.44/5.74 => ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Epred__set_2EMIN__SET @ V0s ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2ESUBSET__MIN__SET,axiom,
% 5.44/5.74 ! [A_27a: del,V0I: $i] :
% 5.44/5.74 ( ( mem @ V0I @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.44/5.74 => ! [V1J: $i] :
% 5.44/5.74 ( ( mem @ V1J @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.44/5.74 => ! [V2n: $i] :
% 5.44/5.74 ( ( mem @ V2n @ A_27a )
% 5.44/5.74 => ( ( ( V0I
% 5.44/5.74 != ( c_2Epred__set_2EEMPTY @ ty_2Enum_2Enum ) )
% 5.44/5.74 & ( V1J
% 5.44/5.74 != ( c_2Epred__set_2EEMPTY @ ty_2Enum_2Enum ) )
% 5.44/5.74 & ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ ty_2Enum_2Enum ) @ V0I ) @ V1J ) ) )
% 5.44/5.74 => ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Epred__set_2EMIN__SET @ V1J ) ) @ ( ap @ c_2Epred__set_2EMIN__SET @ V0I ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2ESUBSET__MAX__SET,axiom,
% 5.44/5.74 ! [V0I: $i] :
% 5.44/5.74 ( ( mem @ V0I @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.44/5.74 => ! [V1J: $i] :
% 5.44/5.74 ( ( mem @ V1J @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.44/5.74 => ( ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ ty_2Enum_2Enum ) @ V0I ) )
% 5.44/5.74 & ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ ty_2Enum_2Enum ) @ V1J ) )
% 5.44/5.74 & ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ ty_2Enum_2Enum ) @ V0I ) @ V1J ) ) )
% 5.44/5.74 => ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Epred__set_2EMAX__SET @ V0I ) ) @ ( ap @ c_2Epred__set_2EMAX__SET @ V1J ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EMIN__SET__LEQ__MAX__SET,axiom,
% 5.44/5.74 ! [V0s: $i] :
% 5.44/5.74 ( ( mem @ V0s @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.44/5.74 => ( ( ( V0s
% 5.44/5.74 != ( c_2Epred__set_2EEMPTY @ ty_2Enum_2Enum ) )
% 5.44/5.74 & ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ ty_2Enum_2Enum ) @ V0s ) ) )
% 5.44/5.74 => ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Epred__set_2EMIN__SET @ V0s ) ) @ ( ap @ c_2Epred__set_2EMAX__SET @ V0s ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EMIN__SET__UNION,axiom,
% 5.44/5.74 ! [V0A: $i] :
% 5.44/5.74 ( ( mem @ V0A @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.44/5.74 => ! [V1B: $i] :
% 5.44/5.74 ( ( mem @ V1B @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.44/5.74 => ( ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ ty_2Enum_2Enum ) @ V0A ) )
% 5.44/5.74 & ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ ty_2Enum_2Enum ) @ V1B ) )
% 5.44/5.74 & ( V0A
% 5.44/5.74 != ( c_2Epred__set_2EEMPTY @ ty_2Enum_2Enum ) )
% 5.44/5.74 & ( V1B
% 5.44/5.74 != ( c_2Epred__set_2EEMPTY @ ty_2Enum_2Enum ) ) )
% 5.44/5.74 => ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Epred__set_2EMIN__SET @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ ty_2Enum_2Enum ) @ V0A ) @ V1B ) ) )
% 5.44/5.74 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMIN @ ( ap @ c_2Epred__set_2EMIN__SET @ V0A ) ) @ ( ap @ c_2Epred__set_2EMIN__SET @ V1B ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EMAX__SET__UNION,axiom,
% 5.44/5.74 ! [V0A: $i] :
% 5.44/5.74 ( ( mem @ V0A @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.44/5.74 => ! [V1B: $i] :
% 5.44/5.74 ( ( mem @ V1B @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.44/5.74 => ( ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ ty_2Enum_2Enum ) @ V0A ) )
% 5.44/5.74 & ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ ty_2Enum_2Enum ) @ V1B ) ) )
% 5.44/5.74 => ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Epred__set_2EMAX__SET @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ ty_2Enum_2Enum ) @ V0A ) @ V1B ) ) )
% 5.44/5.74 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMAX @ ( ap @ c_2Epred__set_2EMAX__SET @ V0A ) ) @ ( ap @ c_2Epred__set_2EMAX__SET @ V1B ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(ax_thm_2Epred__set_2EPOW__DEF,axiom,
% 5.44/5.74 ! [A_27a: del,V0set: $i] :
% 5.44/5.74 ( ( mem @ V0set @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( ap @ ( c_2Epred__set_2EPOW @ A_27a ) @ V0set )
% 5.44/5.74 = ( ap @ ( c_2Epred__set_2EGSPEC @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 @ ( lam @ ( arr @ A_27a @ bool )
% 5.44/5.74 @ ^ [V1s: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( arr @ A_27a @ bool ) @ bool ) @ V1s ) @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V1s ) @ V0set ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EIN__POW,axiom,
% 5.44/5.74 ! [A_27a: del,V0set: $i] :
% 5.44/5.74 ( ( mem @ V0set @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V1e: $i] :
% 5.44/5.74 ( ( mem @ V1e @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( arr @ A_27a @ bool ) ) @ V1e ) @ ( ap @ ( c_2Epred__set_2EPOW @ A_27a ) @ V0set ) ) )
% 5.44/5.74 <=> ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V1e ) @ V0set ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EUNIV__FUN__TO__BOOL,axiom,
% 5.44/5.74 ! [A_27a: del] :
% 5.44/5.74 ( ( c_2Epred__set_2EUNIV @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 = ( ap @ ( c_2Epred__set_2EPOW @ A_27a ) @ ( c_2Epred__set_2EUNIV @ A_27a ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2ESUBSET__POW,axiom,
% 5.44/5.74 ! [A_27a: del,V0s1: $i] :
% 5.44/5.74 ( ( mem @ V0s1 @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V1s2: $i] :
% 5.44/5.74 ( ( mem @ V1s2 @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V0s1 ) @ V1s2 ) )
% 5.44/5.74 => ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ ( arr @ A_27a @ bool ) ) @ ( ap @ ( c_2Epred__set_2EPOW @ A_27a ) @ V0s1 ) ) @ ( ap @ ( c_2Epred__set_2EPOW @ A_27a ) @ V1s2 ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2ESUBSET__INSERT__RIGHT,axiom,
% 5.44/5.74 ! [A_27a: del,V0e: $i] :
% 5.44/5.74 ( ( mem @ V0e @ A_27a )
% 5.44/5.74 => ! [V1s1: $i] :
% 5.44/5.74 ( ( mem @ V1s1 @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V2s2: $i] :
% 5.44/5.74 ( ( mem @ V2s2 @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V1s1 ) @ V2s2 ) )
% 5.44/5.74 => ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V1s1 ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V0e ) @ V2s2 ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2ESUBSET__DELETE__BOTH,axiom,
% 5.44/5.74 ! [A_27a: del,V0s1: $i] :
% 5.44/5.74 ( ( mem @ V0s1 @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V1s2: $i] :
% 5.44/5.74 ( ( mem @ V1s2 @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V2x: $i] :
% 5.44/5.74 ( ( mem @ V2x @ A_27a )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V0s1 ) @ V1s2 ) )
% 5.44/5.74 => ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ A_27a ) @ V0s1 ) @ V2x ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ A_27a ) @ V1s2 ) @ V2x ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EPOW__EMPTY,axiom,
% 5.44/5.74 ! [A_27a: del,V0s: $i] :
% 5.44/5.74 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( ap @ ( c_2Epred__set_2EPOW @ A_27a ) @ V0s )
% 5.44/5.74 != ( c_2Epred__set_2EEMPTY @ ( arr @ A_27a @ bool ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EPOW__INSERT,axiom,
% 5.44/5.74 ! [A_27a: del,V0e: $i] :
% 5.44/5.74 ( ( mem @ V0e @ A_27a )
% 5.44/5.74 => ! [V1s: $i] :
% 5.44/5.74 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( ap @ ( c_2Epred__set_2EPOW @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V0e ) @ V1s ) )
% 5.44/5.74 = ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ ( arr @ A_27a @ bool ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ bool ) ) @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V0e ) ) @ ( ap @ ( c_2Epred__set_2EPOW @ A_27a ) @ V1s ) ) ) @ ( ap @ ( c_2Epred__set_2EPOW @ A_27a ) @ V1s ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EPOW__EQNS,axiom,
% 5.44/5.74 ! [A_27a: del] :
% 5.44/5.74 ( ( ( ap @ ( c_2Epred__set_2EPOW @ A_27a ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) )
% 5.44/5.74 = ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ ( arr @ A_27a @ bool ) ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) @ ( c_2Epred__set_2EEMPTY @ ( arr @ A_27a @ bool ) ) ) )
% 5.44/5.74 & ! [V0e: $i] :
% 5.44/5.74 ( ( mem @ V0e @ A_27a )
% 5.44/5.74 => ! [V1s: $i] :
% 5.44/5.74 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( ap @ ( c_2Epred__set_2EPOW @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V0e ) @ V1s ) )
% 5.44/5.74 = ( ap
% 5.44/5.74 @ ( ap @ ( c_2Ebool_2ELET @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) )
% 5.44/5.74 @ ( lam @ ( arr @ ( arr @ A_27a @ bool ) @ bool )
% 5.44/5.74 @ ^ [V2ps: $i] : ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ ( arr @ A_27a @ bool ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ bool ) ) @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V0e ) ) @ V2ps ) ) @ V2ps ) ) )
% 5.44/5.74 @ ( ap @ ( c_2Epred__set_2EPOW @ A_27a ) @ V1s ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EFINITE__POW,axiom,
% 5.44/5.74 ! [A_27a: del,V0s: $i] :
% 5.44/5.74 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.44/5.74 => ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ ( arr @ A_27a @ bool ) ) @ ( ap @ ( c_2Epred__set_2EPOW @ A_27a ) @ V0s ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2ECARD__POW,axiom,
% 5.44/5.74 ! [A_27a: del,V0s: $i] :
% 5.44/5.74 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.44/5.74 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Epred__set_2ECARD @ ( arr @ A_27a @ bool ) ) @ ( ap @ ( c_2Epred__set_2EPOW @ A_27a ) @ V0s ) ) )
% 5.44/5.74 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ V0s ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EGSPEC__F,axiom,
% 5.44/5.74 ! [A_27a: del] :
% 5.44/5.74 ( ( ap @ ( c_2Epred__set_2EGSPEC @ A_27a @ A_27a )
% 5.44/5.74 @ ( lam @ A_27a
% 5.44/5.74 @ ^ [V0x: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ bool ) @ V0x ) @ c_2Ebool_2EF ) ) )
% 5.44/5.74 = ( c_2Epred__set_2EEMPTY @ A_27a ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EGSPEC__T,axiom,
% 5.44/5.74 ! [A_27a: del] :
% 5.44/5.74 ( ( ap @ ( c_2Epred__set_2EGSPEC @ A_27a @ A_27a )
% 5.44/5.74 @ ( lam @ A_27a
% 5.44/5.74 @ ^ [V0x: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ bool ) @ V0x ) @ c_2Ebool_2ET ) ) )
% 5.44/5.74 = ( c_2Epred__set_2EUNIV @ A_27a ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EGSPEC__ID,axiom,
% 5.44/5.74 ! [A_27a: del,V0y: $i] :
% 5.44/5.74 ( ( mem @ V0y @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( ap @ ( c_2Epred__set_2EGSPEC @ A_27a @ A_27a )
% 5.44/5.74 @ ( lam @ A_27a
% 5.44/5.74 @ ^ [V1x: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ bool ) @ V1x ) @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V1x ) @ V0y ) ) ) )
% 5.44/5.74 = V0y ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EGSPEC__EQ,axiom,
% 5.44/5.74 ! [A_27a: del,V0y: $i] :
% 5.44/5.74 ( ( mem @ V0y @ A_27a )
% 5.44/5.74 => ( ( ap @ ( c_2Epred__set_2EGSPEC @ A_27a @ A_27a )
% 5.44/5.74 @ ( lam @ A_27a
% 5.44/5.74 @ ^ [V1x: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ bool ) @ V1x ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V1x ) @ V0y ) ) ) )
% 5.44/5.74 = ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V0y ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EGSPEC__EQ2,axiom,
% 5.44/5.74 ! [A_27a: del,V0y: $i] :
% 5.44/5.74 ( ( mem @ V0y @ A_27a )
% 5.44/5.74 => ( ( ap @ ( c_2Epred__set_2EGSPEC @ A_27a @ A_27a )
% 5.44/5.74 @ ( lam @ A_27a
% 5.44/5.74 @ ^ [V1x: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ bool ) @ V1x ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V0y ) @ V1x ) ) ) )
% 5.44/5.74 = ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V0y ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EGSPEC__F__COND,axiom,
% 5.44/5.74 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.74 ( ( mem @ V0f @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ bool ) ) )
% 5.44/5.74 => ( ! [V1x: $i] :
% 5.44/5.74 ( ( mem @ V1x @ A_27a )
% 5.44/5.74 => ~ ( p @ ( ap @ ( c_2Epair_2ESND @ A_27b @ bool ) @ ( ap @ V0f @ V1x ) ) ) )
% 5.44/5.74 => ( ( ap @ ( c_2Epred__set_2EGSPEC @ A_27b @ A_27a ) @ V0f )
% 5.44/5.74 = ( c_2Epred__set_2EEMPTY @ A_27b ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EGSPEC__AND,axiom,
% 5.44/5.74 ! [A_27a: del,V0P: $i] :
% 5.44/5.74 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V1Q: $i] :
% 5.44/5.74 ( ( mem @ V1Q @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( ap @ ( c_2Epred__set_2EGSPEC @ A_27a @ A_27a )
% 5.44/5.74 @ ( lam @ A_27a
% 5.44/5.74 @ ^ [V2x: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ bool ) @ V2x ) @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0P @ V2x ) ) @ ( ap @ V1Q @ V2x ) ) ) ) )
% 5.44/5.74 = ( ap
% 5.44/5.74 @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a )
% 5.44/5.74 @ ( ap @ ( c_2Epred__set_2EGSPEC @ A_27a @ A_27a )
% 5.44/5.74 @ ( lam @ A_27a
% 5.44/5.74 @ ^ [V3x: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ bool ) @ V3x ) @ ( ap @ V0P @ V3x ) ) ) ) )
% 5.44/5.74 @ ( ap @ ( c_2Epred__set_2EGSPEC @ A_27a @ A_27a )
% 5.44/5.74 @ ( lam @ A_27a
% 5.44/5.74 @ ^ [V4x: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ bool ) @ V4x ) @ ( ap @ V1Q @ V4x ) ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EGSPEC__OR,axiom,
% 5.44/5.74 ! [A_27a: del,V0P: $i] :
% 5.44/5.74 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V1Q: $i] :
% 5.44/5.74 ( ( mem @ V1Q @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( ap @ ( c_2Epred__set_2EGSPEC @ A_27a @ A_27a )
% 5.44/5.74 @ ( lam @ A_27a
% 5.44/5.74 @ ^ [V2x: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ bool ) @ V2x ) @ ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V0P @ V2x ) ) @ ( ap @ V1Q @ V2x ) ) ) ) )
% 5.44/5.74 = ( ap
% 5.44/5.74 @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a )
% 5.44/5.74 @ ( ap @ ( c_2Epred__set_2EGSPEC @ A_27a @ A_27a )
% 5.44/5.74 @ ( lam @ A_27a
% 5.44/5.74 @ ^ [V3x: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ bool ) @ V3x ) @ ( ap @ V0P @ V3x ) ) ) ) )
% 5.44/5.74 @ ( ap @ ( c_2Epred__set_2EGSPEC @ A_27a @ A_27a )
% 5.44/5.74 @ ( lam @ A_27a
% 5.44/5.74 @ ^ [V4x: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ bool ) @ V4x ) @ ( ap @ V1Q @ V4x ) ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(ax_thm_2Epred__set_2Eequiv__on__def,axiom,
% 5.44/5.74 ! [A_27a: del,V0R: $i] :
% 5.44/5.74 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.74 => ! [V1s: $i] :
% 5.44/5.74 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2Eequiv__on @ A_27a ) @ V0R ) @ V1s ) )
% 5.44/5.74 <=> ( ! [V2x: $i] :
% 5.44/5.74 ( ( mem @ V2x @ A_27a )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V1s ) )
% 5.44/5.74 => ( p @ ( ap @ ( ap @ V0R @ V2x ) @ V2x ) ) ) )
% 5.44/5.74 & ! [V3x: $i] :
% 5.44/5.74 ( ( mem @ V3x @ A_27a )
% 5.44/5.74 => ! [V4y: $i] :
% 5.44/5.74 ( ( mem @ V4y @ A_27a )
% 5.44/5.74 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3x ) @ V1s ) )
% 5.44/5.74 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V4y ) @ V1s ) ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ V0R @ V3x ) @ V4y ) )
% 5.44/5.74 <=> ( p @ ( ap @ ( ap @ V0R @ V4y ) @ V3x ) ) ) ) ) )
% 5.44/5.74 & ! [V5x: $i] :
% 5.44/5.74 ( ( mem @ V5x @ A_27a )
% 5.44/5.74 => ! [V6y: $i] :
% 5.44/5.74 ( ( mem @ V6y @ A_27a )
% 5.44/5.74 => ! [V7z: $i] :
% 5.44/5.74 ( ( mem @ V7z @ A_27a )
% 5.44/5.74 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V5x ) @ V1s ) )
% 5.44/5.74 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V6y ) @ V1s ) )
% 5.44/5.74 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V7z ) @ V1s ) )
% 5.44/5.74 & ( p @ ( ap @ ( ap @ V0R @ V5x ) @ V6y ) )
% 5.44/5.74 & ( p @ ( ap @ ( ap @ V0R @ V6y ) @ V7z ) ) )
% 5.44/5.74 => ( p @ ( ap @ ( ap @ V0R @ V5x ) @ V7z ) ) ) ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(ax_thm_2Epred__set_2Epartition__def,axiom,
% 5.44/5.74 ! [A_27a: del,V0R: $i] :
% 5.44/5.74 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.74 => ! [V1s: $i] :
% 5.44/5.74 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( ap @ ( ap @ ( c_2Epred__set_2Epartition @ A_27a ) @ V0R ) @ V1s )
% 5.44/5.74 = ( ap @ ( c_2Epred__set_2EGSPEC @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 @ ( lam @ ( arr @ A_27a @ bool )
% 5.44/5.74 @ ^ [V2t: $i] :
% 5.44/5.74 ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( arr @ A_27a @ bool ) @ bool ) @ V2t )
% 5.44/5.74 @ ( ap @ ( c_2Ebool_2E_3F @ A_27a )
% 5.44/5.74 @ ( lam @ A_27a
% 5.44/5.74 @ ^ [V3x: $i] :
% 5.44/5.74 ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3x ) @ V1s ) )
% 5.44/5.74 @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( arr @ A_27a @ bool ) ) @ V2t )
% 5.44/5.74 @ ( ap @ ( c_2Epred__set_2EGSPEC @ A_27a @ A_27a )
% 5.44/5.74 @ ( lam @ A_27a
% 5.44/5.74 @ ^ [V4y: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ bool ) @ V4y ) @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V4y ) @ V1s ) ) @ ( ap @ ( ap @ V0R @ V3x ) @ V4y ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EBIGUNION__partition,axiom,
% 5.44/5.74 ! [A_27a: del,V0R: $i] :
% 5.44/5.74 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.74 => ! [V1s: $i] :
% 5.44/5.74 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2Eequiv__on @ A_27a ) @ V0R ) @ V1s ) )
% 5.44/5.74 => ( ( ap @ ( c_2Epred__set_2EBIGUNION @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2Epartition @ A_27a ) @ V0R ) @ V1s ) )
% 5.44/5.74 = V1s ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EEMPTY__NOT__IN__partition,axiom,
% 5.44/5.74 ! [A_27a: del,V0R: $i] :
% 5.44/5.74 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.74 => ! [V1s: $i] :
% 5.44/5.74 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2Eequiv__on @ A_27a ) @ V0R ) @ V1s ) )
% 5.44/5.74 => ~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( arr @ A_27a @ bool ) ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2Epartition @ A_27a ) @ V0R ) @ V1s ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2Epartition__elements__disjoint,axiom,
% 5.44/5.74 ! [A_27a: del,V0R: $i] :
% 5.44/5.74 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.74 => ! [V1s: $i] :
% 5.44/5.74 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2Eequiv__on @ A_27a ) @ V0R ) @ V1s ) )
% 5.44/5.74 => ! [V2t1: $i] :
% 5.44/5.74 ( ( mem @ V2t1 @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V3t2: $i] :
% 5.44/5.74 ( ( mem @ V3t2 @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( arr @ A_27a @ bool ) ) @ V2t1 ) @ ( ap @ ( ap @ ( c_2Epred__set_2Epartition @ A_27a ) @ V0R ) @ V1s ) ) )
% 5.44/5.74 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( arr @ A_27a @ bool ) ) @ V3t2 ) @ ( ap @ ( ap @ ( c_2Epred__set_2Epartition @ A_27a ) @ V0R ) @ V1s ) ) )
% 5.44/5.74 & ( V2t1 != V3t2 ) )
% 5.44/5.74 => ( p @ ( ap @ ( ap @ ( c_2Epred__set_2EDISJOINT @ A_27a ) @ V2t1 ) @ V3t2 ) ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2Epartition__elements__interrelate,axiom,
% 5.44/5.74 ! [A_27a: del,V0R: $i] :
% 5.44/5.74 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.74 => ! [V1s: $i] :
% 5.44/5.74 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2Eequiv__on @ A_27a ) @ V0R ) @ V1s ) )
% 5.44/5.74 => ! [V2t: $i] :
% 5.44/5.74 ( ( mem @ V2t @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( arr @ A_27a @ bool ) ) @ V2t ) @ ( ap @ ( ap @ ( c_2Epred__set_2Epartition @ A_27a ) @ V0R ) @ V1s ) ) )
% 5.44/5.74 => ! [V3x: $i] :
% 5.44/5.74 ( ( mem @ V3x @ A_27a )
% 5.44/5.74 => ! [V4y: $i] :
% 5.44/5.74 ( ( mem @ V4y @ A_27a )
% 5.44/5.74 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3x ) @ V2t ) )
% 5.44/5.74 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V4y ) @ V2t ) ) )
% 5.44/5.74 => ( p @ ( ap @ ( ap @ V0R @ V3x ) @ V4y ) ) ) ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2Epartition__SUBSET,axiom,
% 5.44/5.74 ! [A_27a: del,V0R: $i] :
% 5.44/5.74 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.74 => ! [V1s: $i] :
% 5.44/5.74 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V2t: $i] :
% 5.44/5.74 ( ( mem @ V2t @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( arr @ A_27a @ bool ) ) @ V2t ) @ ( ap @ ( ap @ ( c_2Epred__set_2Epartition @ A_27a ) @ V0R ) @ V1s ) ) )
% 5.44/5.74 => ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V2t ) @ V1s ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EFINITE__partition,axiom,
% 5.44/5.74 ! [A_27a: del,V0R: $i] :
% 5.44/5.74 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.74 => ! [V1s: $i] :
% 5.44/5.74 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V1s ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ ( arr @ A_27a @ bool ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2Epartition @ A_27a ) @ V0R ) @ V1s ) ) )
% 5.44/5.74 & ! [V2t: $i] :
% 5.44/5.74 ( ( mem @ V2t @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( arr @ A_27a @ bool ) ) @ V2t ) @ ( ap @ ( ap @ ( c_2Epred__set_2Epartition @ A_27a ) @ V0R ) @ V1s ) ) )
% 5.44/5.74 => ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V2t ) ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2Epartition__CARD,axiom,
% 5.44/5.74 ! [A_27a: del,V0R: $i] :
% 5.44/5.74 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.74 => ! [V1s: $i] :
% 5.44/5.74 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2Eequiv__on @ A_27a ) @ V0R ) @ V1s ) )
% 5.44/5.74 & ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V1s ) ) )
% 5.44/5.74 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ V1s ) )
% 5.44/5.74 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( c_2Epred__set_2ESUM__IMAGE @ ( arr @ A_27a @ bool ) ) @ ( c_2Epred__set_2ECARD @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2Epartition @ A_27a ) @ V0R ) @ V1s ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(ax_thm_2Epred__set_2Epairwise__def,axiom,
% 5.44/5.74 ! [A_27a: del,V0P: $i] :
% 5.44/5.74 ( ( mem @ V0P @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.74 => ! [V1s: $i] :
% 5.44/5.74 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2Epairwise @ A_27a ) @ V0P ) @ V1s ) )
% 5.44/5.74 <=> ! [V2e1: $i] :
% 5.44/5.74 ( ( mem @ V2e1 @ A_27a )
% 5.44/5.74 => ! [V3e2: $i] :
% 5.44/5.74 ( ( mem @ V3e2 @ A_27a )
% 5.44/5.74 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2e1 ) @ V1s ) )
% 5.44/5.74 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3e2 ) @ V1s ) ) )
% 5.44/5.74 => ( p @ ( ap @ ( ap @ V0P @ V2e1 ) @ V3e2 ) ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2Epairwise__UNION,axiom,
% 5.44/5.74 ! [A_27a: del,V0R: $i] :
% 5.44/5.74 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.74 => ! [V1s1: $i] :
% 5.44/5.74 ( ( mem @ V1s1 @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V2s2: $i] :
% 5.44/5.74 ( ( mem @ V2s2 @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2Epairwise @ A_27a ) @ V0R ) @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ V1s1 ) @ V2s2 ) ) )
% 5.44/5.74 <=> ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2Epairwise @ A_27a ) @ V0R ) @ V1s1 ) )
% 5.44/5.74 & ( p @ ( ap @ ( ap @ ( c_2Epred__set_2Epairwise @ A_27a ) @ V0R ) @ V2s2 ) )
% 5.44/5.74 & ! [V3x: $i] :
% 5.44/5.74 ( ( mem @ V3x @ A_27a )
% 5.44/5.74 => ! [V4y: $i] :
% 5.44/5.74 ( ( mem @ V4y @ A_27a )
% 5.44/5.74 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3x ) @ V1s1 ) )
% 5.44/5.74 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V4y ) @ V2s2 ) ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ V0R @ V3x ) @ V4y ) )
% 5.44/5.74 & ( p @ ( ap @ ( ap @ V0R @ V4y ) @ V3x ) ) ) ) ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2Epairwise__SUBSET,axiom,
% 5.44/5.74 ! [A_27a: del,V0R: $i] :
% 5.44/5.74 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.74 => ! [V1s: $i] :
% 5.44/5.74 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V2t: $i] :
% 5.44/5.74 ( ( mem @ V2t @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2Epairwise @ A_27a ) @ V0R ) @ V2t ) )
% 5.44/5.74 & ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V1s ) @ V2t ) ) )
% 5.44/5.74 => ( p @ ( ap @ ( ap @ ( c_2Epred__set_2Epairwise @ A_27a ) @ V0R ) @ V1s ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EKoenigsLemma,axiom,
% 5.44/5.74 ! [A_27a: del,V0R: $i] :
% 5.44/5.74 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.74 => ( ! [V1x: $i] :
% 5.44/5.74 ( ( mem @ V1x @ A_27a )
% 5.44/5.74 => ( p
% 5.44/5.74 @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a )
% 5.44/5.74 @ ( ap @ ( c_2Epred__set_2EGSPEC @ A_27a @ A_27a )
% 5.44/5.74 @ ( lam @ A_27a
% 5.44/5.74 @ ^ [V2y: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ bool ) @ V2y ) @ ( ap @ ( ap @ V0R @ V1x ) @ V2y ) ) ) ) ) ) )
% 5.44/5.74 => ! [V3x: $i] :
% 5.44/5.74 ( ( mem @ V3x @ A_27a )
% 5.44/5.74 => ( ~ ( p
% 5.44/5.74 @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a )
% 5.44/5.74 @ ( ap @ ( c_2Epred__set_2EGSPEC @ A_27a @ A_27a )
% 5.44/5.74 @ ( lam @ A_27a
% 5.44/5.74 @ ^ [V4y: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ bool ) @ V4y ) @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ERTC @ A_27a ) @ V0R ) @ V3x ) @ V4y ) ) ) ) ) )
% 5.44/5.74 => ? [V5f: $i] :
% 5.44/5.74 ( ( mem @ V5f @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.44/5.74 & ( ( ap @ V5f @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) )
% 5.44/5.74 = V3x )
% 5.44/5.74 & ! [V6n: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ V0R @ ( ap @ V5f @ ( inj__ty_2Enum_2Enum @ V6n ) ) ) @ ( ap @ V5f @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V6n ) ) ) ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EKoenigsLemma__WF,axiom,
% 5.44/5.74 ! [A_27a: del,V0R: $i] :
% 5.44/5.74 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.74 => ( ( ! [V1x: $i] :
% 5.44/5.74 ( ( mem @ V1x @ A_27a )
% 5.44/5.74 => ( p
% 5.44/5.74 @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a )
% 5.44/5.74 @ ( ap @ ( c_2Epred__set_2EGSPEC @ A_27a @ A_27a )
% 5.44/5.74 @ ( lam @ A_27a
% 5.44/5.74 @ ^ [V2y: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ bool ) @ V2y ) @ ( ap @ ( ap @ V0R @ V1x ) @ V2y ) ) ) ) ) ) )
% 5.44/5.74 & ( p @ ( ap @ ( c_2Erelation_2EWF @ A_27a ) @ ( ap @ ( c_2Erelation_2Einv @ A_27a @ A_27a ) @ V0R ) ) ) )
% 5.44/5.74 => ! [V3x: $i] :
% 5.44/5.74 ( ( mem @ V3x @ A_27a )
% 5.44/5.74 => ( p
% 5.44/5.74 @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a )
% 5.44/5.74 @ ( ap @ ( c_2Epred__set_2EGSPEC @ A_27a @ A_27a )
% 5.44/5.74 @ ( lam @ A_27a
% 5.44/5.74 @ ^ [V4y: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ bool ) @ V4y ) @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ERTC @ A_27a ) @ V0R ) @ V3x ) @ V4y ) ) ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2ESET__EQ__SUBSET,axiom,
% 5.44/5.74 ! [A_27a: del,V0s1: $i] :
% 5.44/5.74 ( ( mem @ V0s1 @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V1s2: $i] :
% 5.44/5.74 ( ( mem @ V1s2 @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( V0s1 = V1s2 )
% 5.44/5.74 <=> ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V0s1 ) @ V1s2 ) )
% 5.44/5.74 & ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V1s2 ) @ V0s1 ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EPSUBSET__EQN,axiom,
% 5.44/5.74 ! [A_27a: del,V0s1: $i] :
% 5.44/5.74 ( ( mem @ V0s1 @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V1s2: $i] :
% 5.44/5.74 ( ( mem @ V1s2 @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2EPSUBSET @ A_27a ) @ V0s1 ) @ V1s2 ) )
% 5.44/5.74 <=> ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V0s1 ) @ V1s2 ) )
% 5.44/5.74 & ~ ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V1s2 ) @ V0s1 ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EPSUBSET__SUBSET__TRANS,axiom,
% 5.44/5.74 ! [A_27a: del,V0s: $i] :
% 5.44/5.74 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V1t: $i] :
% 5.44/5.74 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V2u: $i] :
% 5.44/5.74 ( ( mem @ V2u @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2EPSUBSET @ A_27a ) @ V0s ) @ V1t ) )
% 5.44/5.74 & ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V1t ) @ V2u ) ) )
% 5.44/5.74 => ( p @ ( ap @ ( ap @ ( c_2Epred__set_2EPSUBSET @ A_27a ) @ V0s ) @ V2u ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2ESUBSET__PSUBSET__TRANS,axiom,
% 5.44/5.74 ! [A_27a: del,V0s: $i] :
% 5.44/5.74 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V1t: $i] :
% 5.44/5.74 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V2u: $i] :
% 5.44/5.74 ( ( mem @ V2u @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V0s ) @ V1t ) )
% 5.44/5.74 & ( p @ ( ap @ ( ap @ ( c_2Epred__set_2EPSUBSET @ A_27a ) @ V1t ) @ V2u ) ) )
% 5.44/5.74 => ( p @ ( ap @ ( ap @ ( c_2Epred__set_2EPSUBSET @ A_27a ) @ V0s ) @ V2u ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2ECROSS__EQNS,axiom,
% 5.44/5.74 ! [A_27a: del,A_27b: del,V0a: $i] :
% 5.44/5.74 ( ( mem @ V0a @ A_27a )
% 5.44/5.74 => ! [V1s1: $i] :
% 5.44/5.74 ( ( mem @ V1s1 @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V2s2: $i] :
% 5.44/5.74 ( ( mem @ V2s2 @ ( arr @ A_27b @ bool ) )
% 5.44/5.74 => ( ( ( ap @ ( ap @ ( c_2Epred__set_2ECROSS @ A_27a @ A_27b ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) @ V2s2 )
% 5.44/5.74 = ( c_2Epred__set_2EEMPTY @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) )
% 5.44/5.74 & ( ( ap @ ( ap @ ( c_2Epred__set_2ECROSS @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V0a ) @ V1s1 ) ) @ V2s2 )
% 5.44/5.74 = ( ap
% 5.44/5.74 @ ( ap @ ( c_2Epred__set_2EUNION @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) )
% 5.44/5.74 @ ( ap
% 5.44/5.74 @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27b @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) )
% 5.44/5.74 @ ( lam @ A_27b
% 5.44/5.74 @ ^ [V3y: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V0a ) @ V3y ) ) )
% 5.44/5.74 @ V2s2 ) )
% 5.44/5.74 @ ( ap @ ( ap @ ( c_2Epred__set_2ECROSS @ A_27a @ A_27b ) @ V1s1 ) @ V2s2 ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2Ecount__EQN,axiom,
% 5.44/5.74 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.74 ( ( ap @ c_2Epred__set_2Ecount @ ( inj__ty_2Enum_2Enum @ V0n ) )
% 5.44/5.74 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( arr @ ty_2Enum_2Enum @ bool ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) @ ( c_2Epred__set_2EEMPTY @ ty_2Enum_2Enum ) )
% 5.44/5.74 @ ( ap
% 5.44/5.74 @ ( ap @ ( c_2Ebool_2ELET @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.44/5.74 @ ( lam @ ty_2Enum_2Enum
% 5.44/5.74 @ ^ [V1p: $i] : ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ ty_2Enum_2Enum ) @ V1p ) @ ( ap @ c_2Epred__set_2Ecount @ V1p ) ) ) )
% 5.44/5.74 @ ( ap @ c_2Eprim__rec_2EPRE @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EUNIQUE__MEMBER__SING,axiom,
% 5.44/5.74 ! [A_27a: del,V0x: $i] :
% 5.44/5.74 ( ( mem @ V0x @ A_27a )
% 5.44/5.74 => ! [V1s: $i] :
% 5.44/5.74 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0x ) @ V1s ) )
% 5.44/5.74 & ! [V2y: $i] :
% 5.44/5.74 ( ( mem @ V2y @ A_27a )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2y ) @ V1s ) )
% 5.44/5.74 => ( V0x = V2y ) ) ) )
% 5.44/5.74 <=> ( V1s
% 5.44/5.74 = ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V0x ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2Einj__surj,axiom,
% 5.44/5.74 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.74 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.74 => ! [V1s: $i] :
% 5.44/5.74 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V2t: $i] :
% 5.44/5.74 ( ( mem @ V2t @ ( arr @ A_27b @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EINJ @ A_27a @ A_27b ) @ V0f ) @ V1s ) @ V2t ) )
% 5.44/5.74 => ( ( V1s
% 5.44/5.74 = ( c_2Epred__set_2EEMPTY @ A_27a ) )
% 5.44/5.74 | ? [V3f_27: $i] :
% 5.44/5.74 ( ( mem @ V3f_27 @ ( arr @ A_27b @ A_27a ) )
% 5.44/5.74 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2ESURJ @ A_27b @ A_27a ) @ V3f_27 ) @ V2t ) @ V1s ) ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2Einfinite__rest,axiom,
% 5.44/5.74 ! [A_27a: del,V0s: $i] :
% 5.44/5.74 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ~ ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.44/5.74 => ~ ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ ( ap @ ( c_2Epred__set_2EREST @ A_27a ) @ V0s ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(ax_thm_2Epred__set_2Echooser__def,axiom,
% 5.44/5.74 ! [A_27a: del] :
% 5.44/5.74 ( ! [V0s: $i] :
% 5.44/5.74 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( ap @ ( ap @ ( c_2Epred__set_2Echooser @ A_27a ) @ V0s ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) )
% 5.44/5.74 = ( ap @ ( c_2Epred__set_2ECHOICE @ A_27a ) @ V0s ) ) )
% 5.44/5.74 & ! [V1s: $i] :
% 5.44/5.74 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V2n: tp__ty_2Enum_2Enum] :
% 5.44/5.74 ( ( ap @ ( ap @ ( c_2Epred__set_2Echooser @ A_27a ) @ V1s ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V2n ) ) )
% 5.44/5.74 = ( ap @ ( ap @ ( c_2Epred__set_2Echooser @ A_27a ) @ ( ap @ ( c_2Epred__set_2EREST @ A_27a ) @ V1s ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2Echooser__def__compute,axiom,
% 5.44/5.74 ! [A_27a: del] :
% 5.44/5.74 ( ! [V0s: $i] :
% 5.44/5.74 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( ap @ ( ap @ ( c_2Epred__set_2Echooser @ A_27a ) @ V0s ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) )
% 5.44/5.74 = ( ap @ ( c_2Epred__set_2ECHOICE @ A_27a ) @ V0s ) ) )
% 5.44/5.74 & ! [V1s: $i] :
% 5.44/5.74 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V2n: tp__ty_2Enum_2Enum] :
% 5.44/5.74 ( ( ap @ ( ap @ ( c_2Epred__set_2Echooser @ A_27a ) @ V1s ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) )
% 5.44/5.74 = ( ap @ ( ap @ ( c_2Epred__set_2Echooser @ A_27a ) @ ( ap @ ( c_2Epred__set_2EREST @ A_27a ) @ V1s ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.44/5.74 & ! [V3s: $i] :
% 5.44/5.74 ( ( mem @ V3s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V4n: tp__ty_2Enum_2Enum] :
% 5.44/5.74 ( ( ap @ ( ap @ ( c_2Epred__set_2Echooser @ A_27a ) @ V3s ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V4n ) ) ) )
% 5.44/5.74 = ( ap @ ( ap @ ( c_2Epred__set_2Echooser @ A_27a ) @ ( ap @ ( c_2Epred__set_2EREST @ A_27a ) @ V3s ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V4n ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2Einfinite__num__inj,axiom,
% 5.44/5.74 ! [A_27a: del,V0s: $i] :
% 5.44/5.74 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ~ ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.44/5.74 <=> ? [V1f: $i] :
% 5.44/5.74 ( ( mem @ V1f @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.44/5.74 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EINJ @ ty_2Enum_2Enum @ A_27a ) @ V1f ) @ ( c_2Epred__set_2EUNIV @ ty_2Enum_2Enum ) ) @ V0s ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(ax_thm_2Epred__set_2Ecountable__def,axiom,
% 5.44/5.74 ! [A_27a: del,V0s: $i] :
% 5.44/5.74 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27a ) @ V0s ) )
% 5.44/5.74 <=> ? [V1f: $i] :
% 5.44/5.74 ( ( mem @ V1f @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.44/5.74 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EINJ @ A_27a @ ty_2Enum_2Enum ) @ V1f ) @ V0s ) @ ( c_2Epred__set_2EUNIV @ ty_2Enum_2Enum ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2Ecountable__image__nats,axiom,
% 5.44/5.74 ! [A_27a: del,V0f: $i] :
% 5.44/5.74 ( ( mem @ V0f @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.44/5.74 => ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ ty_2Enum_2Enum @ A_27a ) @ V0f ) @ ( c_2Epred__set_2EUNIV @ ty_2Enum_2Enum ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2Ecountable__surj,axiom,
% 5.44/5.74 ! [A_27a: del,V0s: $i] :
% 5.44/5.74 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27a ) @ V0s ) )
% 5.44/5.74 <=> ( ( V0s
% 5.44/5.74 = ( c_2Epred__set_2EEMPTY @ A_27a ) )
% 5.44/5.74 | ? [V1f: $i] :
% 5.44/5.74 ( ( mem @ V1f @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.44/5.74 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2ESURJ @ ty_2Enum_2Enum @ A_27a ) @ V1f ) @ ( c_2Epred__set_2EUNIV @ ty_2Enum_2Enum ) ) @ V0s ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2Enum__countable,axiom,
% 5.44/5.74 p @ ( ap @ ( c_2Epred__set_2Ecountable @ ty_2Enum_2Enum ) @ ( c_2Epred__set_2EUNIV @ ty_2Enum_2Enum ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2Esubset__countable,axiom,
% 5.44/5.74 ! [A_27a: del,V0s: $i] :
% 5.44/5.74 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V1t: $i] :
% 5.44/5.74 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27a ) @ V0s ) )
% 5.44/5.74 & ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V1t ) @ V0s ) ) )
% 5.44/5.74 => ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27a ) @ V1t ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2Eimage__countable,axiom,
% 5.44/5.74 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.74 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.74 => ! [V1s: $i] :
% 5.44/5.74 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27a ) @ V1s ) )
% 5.44/5.74 => ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27b ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ A_27b ) @ V0f ) @ V1s ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2ECOUNTABLE__ALT,axiom,
% 5.44/5.74 ! [A_27a: del,V0s: $i] :
% 5.44/5.74 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27a ) @ V0s ) )
% 5.44/5.74 <=> ? [V1f: $i] :
% 5.44/5.74 ( ( mem @ V1f @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.44/5.74 & ! [V2x: $i] :
% 5.44/5.74 ( ( mem @ V2x @ A_27a )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V0s ) )
% 5.44/5.74 => ? [V3n: tp__ty_2Enum_2Enum] :
% 5.44/5.74 ( ( ap @ V1f @ ( inj__ty_2Enum_2Enum @ V3n ) )
% 5.44/5.74 = V2x ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2ECOUNTABLE__SUBSET,axiom,
% 5.44/5.74 ! [A_27a: del,V0s: $i] :
% 5.44/5.74 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V1t: $i] :
% 5.44/5.74 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V0s ) @ V1t ) )
% 5.44/5.74 & ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27a ) @ V1t ) ) )
% 5.44/5.74 => ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27a ) @ V0s ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2Efinite__countable,axiom,
% 5.44/5.74 ! [A_27a: del,V0s: $i] :
% 5.44/5.74 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.44/5.74 => ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27a ) @ V0s ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2ECOUNTABLE__COUNT,axiom,
% 5.44/5.74 ! [V0n: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ ty_2Enum_2Enum ) @ ( ap @ c_2Epred__set_2Ecount @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2ECOUNTABLE__NUM,axiom,
% 5.44/5.74 ! [V0s: $i] :
% 5.44/5.74 ( ( mem @ V0s @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.44/5.74 => ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ ty_2Enum_2Enum ) @ V0s ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2ECOUNTABLE__IMAGE__NUM,axiom,
% 5.44/5.74 ! [A_27a: del,V0f: $i] :
% 5.44/5.74 ( ( mem @ V0f @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.44/5.74 => ! [V1s: $i] :
% 5.44/5.74 ( ( mem @ V1s @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.44/5.74 => ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ ty_2Enum_2Enum @ A_27a ) @ V0f ) @ V1s ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(ax_thm_2Epred__set_2Enum__to__pair__def,axiom,
% 5.44/5.74 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.74 ( ( surj__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum @ ( ap @ c_2Epred__set_2Enum__to__pair @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.74 = ( surj__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( ap @ c_2Enumpair_2Enfst @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( ap @ c_2Enumpair_2Ensnd @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(ax_thm_2Epred__set_2Epair__to__num__def,axiom,
% 5.44/5.74 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.74 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Epred__set_2Epair__to__num @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.44/5.74 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Enumpair_2Enpair @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2Epair__to__num__formula,axiom,
% 5.44/5.74 ! [V0x: tp__ty_2Enum_2Enum,V1y: tp__ty_2Enum_2Enum] :
% 5.44/5.74 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Epred__set_2Epair__to__num @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( inj__ty_2Enum_2Enum @ V1y ) ) ) )
% 5.44/5.74 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( inj__ty_2Enum_2Enum @ V1y ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( inj__ty_2Enum_2Enum @ V1y ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1y ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2Epair__to__num__inv,axiom,
% 5.44/5.74 ( ! [V0x: tp__ty_2Enum_2Enum] :
% 5.44/5.74 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Epred__set_2Epair__to__num @ ( ap @ c_2Epred__set_2Enum__to__pair @ ( inj__ty_2Enum_2Enum @ V0x ) ) ) )
% 5.44/5.74 = V0x )
% 5.44/5.74 & ! [V1x: tp__ty_2Enum_2Enum,V2y: tp__ty_2Enum_2Enum] :
% 5.44/5.74 ( ( surj__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum @ ( ap @ c_2Epred__set_2Enum__to__pair @ ( ap @ c_2Epred__set_2Epair__to__num @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( inj__ty_2Enum_2Enum @ V2y ) ) ) ) )
% 5.44/5.74 = ( surj__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( inj__ty_2Enum_2Enum @ V2y ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2Ecross__countable,axiom,
% 5.44/5.74 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.44/5.74 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V1t: $i] :
% 5.44/5.74 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.44/5.74 => ( ( ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27a ) @ V0s ) )
% 5.44/5.74 & ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27b ) @ V1t ) ) )
% 5.44/5.74 => ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2ECROSS @ A_27a @ A_27b ) @ V0s ) @ V1t ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2Einter__countable,axiom,
% 5.44/5.74 ! [A_27a: del,V0s: $i] :
% 5.44/5.74 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V1t: $i] :
% 5.44/5.74 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27a ) @ V0s ) )
% 5.44/5.74 | ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27a ) @ V1t ) ) )
% 5.44/5.74 => ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ V0s ) @ V1t ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2Einj__countable,axiom,
% 5.44/5.74 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.74 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.74 => ! [V1s: $i] :
% 5.44/5.74 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V2t: $i] :
% 5.44/5.74 ( ( mem @ V2t @ ( arr @ A_27b @ bool ) )
% 5.44/5.74 => ( ( ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27b ) @ V2t ) )
% 5.44/5.74 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EINJ @ A_27a @ A_27b ) @ V0f ) @ V1s ) @ V2t ) ) )
% 5.44/5.74 => ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27a ) @ V1s ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2Ebigunion__countable,axiom,
% 5.44/5.74 ! [A_27a: del,V0s: $i] :
% 5.44/5.74 ( ( mem @ V0s @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) )
% 5.44/5.74 => ( ( ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ ( arr @ A_27a @ bool ) ) @ V0s ) )
% 5.44/5.74 & ! [V1x: $i] :
% 5.44/5.74 ( ( mem @ V1x @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( arr @ A_27a @ bool ) ) @ V1x ) @ V0s ) )
% 5.44/5.74 => ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27a ) @ V1x ) ) ) ) )
% 5.44/5.74 => ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27a ) @ ( ap @ ( c_2Epred__set_2EBIGUNION @ A_27a ) @ V0s ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2Eunion__countable,axiom,
% 5.44/5.74 ! [A_27a: del,V0s: $i] :
% 5.44/5.74 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V1t: $i] :
% 5.44/5.74 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27a ) @ V0s ) )
% 5.44/5.74 & ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27a ) @ V1t ) ) )
% 5.44/5.74 => ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ V0s ) @ V1t ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2Eunion__countable__IFF,axiom,
% 5.44/5.74 ! [A_27a: del,V0s: $i] :
% 5.44/5.74 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V1t: $i] :
% 5.44/5.74 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ V0s ) @ V1t ) ) )
% 5.44/5.74 <=> ( ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27a ) @ V0s ) )
% 5.44/5.74 & ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27a ) @ V1t ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2Einj__image__countable__IFF,axiom,
% 5.44/5.74 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.74 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.74 => ! [V1s: $i] :
% 5.44/5.74 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EINJ @ A_27a @ A_27b ) @ V0f ) @ V1s ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ A_27b ) @ V0f ) @ V1s ) ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27b ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ A_27b ) @ V0f ) @ V1s ) ) )
% 5.44/5.74 <=> ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27a ) @ V1s ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2Epow__no__surj,axiom,
% 5.44/5.74 ! [A_27a: del,V0s: $i] :
% 5.44/5.74 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ~ ? [V1f: $i] :
% 5.44/5.74 ( ( mem @ V1f @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.74 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2ESURJ @ A_27a @ ( arr @ A_27a @ bool ) ) @ V1f ) @ V0s ) @ ( ap @ ( c_2Epred__set_2EPOW @ A_27a ) @ V0s ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2Einfinite__pow__uncountable,axiom,
% 5.44/5.74 ! [A_27a: del,V0s: $i] :
% 5.44/5.74 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ~ ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.44/5.74 => ~ ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ ( arr @ A_27a @ bool ) ) @ ( ap @ ( c_2Epred__set_2EPOW @ A_27a ) @ V0s ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2Ecountable__Usum,axiom,
% 5.44/5.74 ! [A_27a: del,A_27b: del] :
% 5.44/5.74 ( ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) ) @ ( c_2Epred__set_2EUNIV @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) ) ) )
% 5.44/5.74 <=> ( ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27a ) @ ( c_2Epred__set_2EUNIV @ A_27a ) ) )
% 5.44/5.74 & ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27b ) @ ( c_2Epred__set_2EUNIV @ A_27b ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2Ecountable__EMPTY,axiom,
% 5.44/5.74 ! [A_27a: del] : ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27a ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2Ecountable__INSERT,axiom,
% 5.44/5.74 ! [A_27a: del,V0x: $i] :
% 5.44/5.74 ( ( mem @ V0x @ A_27a )
% 5.44/5.74 => ! [V1s: $i] :
% 5.44/5.74 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V0x ) @ V1s ) ) )
% 5.44/5.74 <=> ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27a ) @ V1s ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2Ecross__countable__IFF,axiom,
% 5.44/5.74 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.44/5.74 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V1t: $i] :
% 5.44/5.74 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2ECROSS @ A_27a @ A_27b ) @ V0s ) @ V1t ) ) )
% 5.44/5.74 <=> ( ( V0s
% 5.44/5.74 = ( c_2Epred__set_2EEMPTY @ A_27a ) )
% 5.44/5.74 | ( V1t
% 5.44/5.74 = ( c_2Epred__set_2EEMPTY @ A_27b ) )
% 5.44/5.74 | ( ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27a ) @ V0s ) )
% 5.44/5.74 & ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27b ) @ V1t ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2Ecountable__Uprod,axiom,
% 5.44/5.74 ! [A_27a: del,A_27b: del] :
% 5.44/5.74 ( ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( c_2Epred__set_2EUNIV @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) ) )
% 5.44/5.74 <=> ( ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27a ) @ ( c_2Epred__set_2EUNIV @ A_27a ) ) )
% 5.44/5.74 & ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27b ) @ ( c_2Epred__set_2EUNIV @ A_27b ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EEXPLICIT__ENUMERATE__MONO,axiom,
% 5.44/5.74 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1s: $i] :
% 5.44/5.74 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ ( ap @ ( ap @ ( ap @ ( c_2Earithmetic_2EFUNPOW @ ( arr @ A_27a @ bool ) ) @ ( c_2Epred__set_2EREST @ A_27a ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1s ) ) @ V1s ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EEXPLICIT__ENUMERATE__NOT__EMPTY,axiom,
% 5.44/5.74 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1s: $i] :
% 5.44/5.74 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ~ ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V1s ) )
% 5.44/5.74 => ( ( ap @ ( ap @ ( ap @ ( c_2Earithmetic_2EFUNPOW @ ( arr @ A_27a @ bool ) ) @ ( c_2Epred__set_2EREST @ A_27a ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1s )
% 5.44/5.74 != ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EINFINITE__EXPLICIT__ENUMERATE,axiom,
% 5.44/5.74 ! [A_27a: del,V0s: $i] :
% 5.44/5.74 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ~ ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.44/5.74 => ( p
% 5.44/5.74 @ ( ap
% 5.44/5.74 @ ( ap
% 5.44/5.74 @ ( ap @ ( c_2Epred__set_2EINJ @ ty_2Enum_2Enum @ A_27a )
% 5.44/5.74 @ ( lam @ ty_2Enum_2Enum
% 5.44/5.74 @ ^ [V1n: $i] : ( ap @ ( c_2Epred__set_2ECHOICE @ A_27a ) @ ( ap @ ( ap @ ( ap @ ( c_2Earithmetic_2EFUNPOW @ ( arr @ A_27a @ bool ) ) @ ( c_2Epred__set_2EREST @ A_27a ) ) @ V1n ) @ V0s ) ) ) )
% 5.44/5.74 @ ( c_2Epred__set_2EUNIV @ ty_2Enum_2Enum ) )
% 5.44/5.74 @ V0s ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EBIJ__NUM__COUNTABLE,axiom,
% 5.44/5.74 ! [A_27a: del,V0s: $i] :
% 5.44/5.74 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ? [V1f: $i] :
% 5.44/5.74 ( ( mem @ V1f @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.44/5.74 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EBIJ @ ty_2Enum_2Enum @ A_27a ) @ V1f ) @ ( c_2Epred__set_2EUNIV @ ty_2Enum_2Enum ) ) @ V0s ) ) )
% 5.44/5.74 => ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27a ) @ V0s ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(ax_thm_2Epred__set_2Eenumerate__def,axiom,
% 5.44/5.74 ! [A_27a: del,V0s: $i] :
% 5.44/5.74 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( ap @ ( c_2Epred__set_2Eenumerate @ A_27a ) @ V0s )
% 5.44/5.74 = ( ap @ ( c_2Emin_2E_40 @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.44/5.74 @ ( lam @ ( arr @ ty_2Enum_2Enum @ A_27a )
% 5.44/5.74 @ ^ [V1f: $i] : ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EBIJ @ ty_2Enum_2Enum @ A_27a ) @ V1f ) @ ( c_2Epred__set_2EUNIV @ ty_2Enum_2Enum ) ) @ V0s ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EENUMERATE,axiom,
% 5.44/5.74 ! [A_27a: del,V0s: $i] :
% 5.44/5.74 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ? [V1f: $i] :
% 5.44/5.74 ( ( mem @ V1f @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.44/5.74 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EBIJ @ ty_2Enum_2Enum @ A_27a ) @ V1f ) @ ( c_2Epred__set_2EUNIV @ ty_2Enum_2Enum ) ) @ V0s ) ) )
% 5.44/5.74 <=> ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EBIJ @ ty_2Enum_2Enum @ A_27a ) @ ( ap @ ( c_2Epred__set_2Eenumerate @ A_27a ) @ V0s ) ) @ ( c_2Epred__set_2EUNIV @ ty_2Enum_2Enum ) ) @ V0s ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2ECOUNTABLE__ALT__BIJ,axiom,
% 5.44/5.74 ! [A_27a: del,V0s: $i] :
% 5.44/5.74 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27a ) @ V0s ) )
% 5.44/5.74 <=> ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.44/5.74 | ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EBIJ @ ty_2Enum_2Enum @ A_27a ) @ ( ap @ ( c_2Epred__set_2Eenumerate @ A_27a ) @ V0s ) ) @ ( c_2Epred__set_2EUNIV @ ty_2Enum_2Enum ) ) @ V0s ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2ECOUNTABLE__ENUM,axiom,
% 5.44/5.74 ! [A_27a: del,V0c: $i] :
% 5.44/5.74 ( ( mem @ V0c @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27a ) @ V0c ) )
% 5.44/5.74 <=> ( ( V0c
% 5.44/5.74 = ( c_2Epred__set_2EEMPTY @ A_27a ) )
% 5.44/5.74 | ? [V1f: $i] :
% 5.44/5.74 ( ( mem @ V1f @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.44/5.74 & ( V0c
% 5.44/5.74 = ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ ty_2Enum_2Enum @ A_27a ) @ V1f ) @ ( c_2Epred__set_2EUNIV @ ty_2Enum_2Enum ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EIMAGE__BIGUNION,axiom,
% 5.44/5.74 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.74 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.74 => ! [V1M: $i] :
% 5.44/5.74 ( ( mem @ V1M @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) )
% 5.44/5.74 => ( ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ A_27b ) @ V0f ) @ ( ap @ ( c_2Epred__set_2EBIGUNION @ A_27a ) @ V1M ) )
% 5.44/5.74 = ( ap @ ( c_2Epred__set_2EBIGUNION @ A_27b ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ ( arr @ A_27a @ bool ) @ ( arr @ A_27b @ bool ) ) @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ A_27b ) @ V0f ) ) @ V1M ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2ESUBSET__DIFF,axiom,
% 5.44/5.74 ! [A_27a: del,V0s1: $i] :
% 5.44/5.74 ( ( mem @ V0s1 @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V1s2: $i] :
% 5.44/5.74 ( ( mem @ V1s2 @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V2s3: $i] :
% 5.44/5.74 ( ( mem @ V2s3 @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V0s1 ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDIFF @ A_27a ) @ V1s2 ) @ V2s3 ) ) )
% 5.44/5.74 <=> ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V0s1 ) @ V1s2 ) )
% 5.44/5.74 & ( p @ ( ap @ ( ap @ ( c_2Epred__set_2EDISJOINT @ A_27a ) @ V0s1 ) @ V2s3 ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EINTER__SUBSET__EQN,axiom,
% 5.44/5.74 ! [A_27a: del,V0A: $i] :
% 5.44/5.74 ( ( mem @ V0A @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V1B: $i] :
% 5.44/5.74 ( ( mem @ V1B @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( ( ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ V0A ) @ V1B )
% 5.44/5.74 = V0A )
% 5.44/5.74 <=> ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V0A ) @ V1B ) ) )
% 5.44/5.74 & ( ( ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ V0A ) @ V1B )
% 5.44/5.74 = V1B )
% 5.44/5.74 <=> ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V1B ) @ V0A ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EPSUBSET__SING,axiom,
% 5.44/5.74 ! [A_27a: del,V0s: $i] :
% 5.44/5.74 ( ( mem @ V0s @ A_27a )
% 5.44/5.74 => ! [V1x: $i] :
% 5.44/5.74 ( ( mem @ V1x @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2EPSUBSET @ A_27a ) @ V1x ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V0s ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) )
% 5.44/5.74 <=> ( V1x
% 5.44/5.74 = ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EINTER__UNION,axiom,
% 5.44/5.74 ! [A_27a: del,V0A: $i] :
% 5.44/5.74 ( ( mem @ V0A @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V1B: $i] :
% 5.44/5.74 ( ( mem @ V1B @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ V0A ) @ V1B ) ) @ V0A )
% 5.44/5.74 = V0A )
% 5.44/5.74 & ( ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ V1B ) @ V0A ) ) @ V0A )
% 5.44/5.74 = V0A )
% 5.44/5.74 & ( ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ V0A ) @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ V0A ) @ V1B ) )
% 5.44/5.74 = V0A )
% 5.44/5.74 & ( ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ V0A ) @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ V1B ) @ V0A ) )
% 5.44/5.74 = V0A ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EUNION__DELETE,axiom,
% 5.44/5.74 ! [A_27a: del,V0A: $i] :
% 5.44/5.74 ( ( mem @ V0A @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V1B: $i] :
% 5.44/5.74 ( ( mem @ V1B @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V2x: $i] :
% 5.44/5.74 ( ( mem @ V2x @ A_27a )
% 5.44/5.74 => ( ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ V0A ) @ V1B ) ) @ V2x )
% 5.44/5.74 = ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ A_27a ) @ V0A ) @ V2x ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ A_27a ) @ V1B ) @ V2x ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EDELETE__SUBSET__INSERT,axiom,
% 5.44/5.74 ! [A_27a: del,V0s: $i] :
% 5.44/5.74 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V1e: $i] :
% 5.44/5.74 ( ( mem @ V1e @ A_27a )
% 5.44/5.74 => ! [V2s2: $i] :
% 5.44/5.74 ( ( mem @ V2s2 @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ A_27a ) @ V0s ) @ V1e ) ) @ V2s2 ) )
% 5.44/5.74 <=> ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V0s ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V1e ) @ V2s2 ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EIN__INSERT__EXPAND,axiom,
% 5.44/5.74 ! [A_27a: del,V0x: $i] :
% 5.44/5.74 ( ( mem @ V0x @ A_27a )
% 5.44/5.74 => ! [V1y: $i] :
% 5.44/5.74 ( ( mem @ V1y @ A_27a )
% 5.44/5.74 => ! [V2P: $i] :
% 5.44/5.74 ( ( mem @ V2P @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0x ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V1y ) @ V2P ) ) )
% 5.44/5.74 <=> ( ( V0x = V1y )
% 5.44/5.74 | ( ( V0x != V1y )
% 5.44/5.74 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0x ) @ V2P ) ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EFINITE__INTER,axiom,
% 5.44/5.74 ! [A_27a: del,V0s1: $i] :
% 5.44/5.74 ( ( mem @ V0s1 @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V1s2: $i] :
% 5.44/5.74 ( ( mem @ V1s2 @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s1 ) )
% 5.44/5.74 | ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V1s2 ) ) )
% 5.44/5.74 => ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ V0s1 ) @ V1s2 ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EINSERT__EQ__SING,axiom,
% 5.44/5.74 ! [A_27a: del,V0s: $i] :
% 5.44/5.74 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V1x: $i] :
% 5.44/5.74 ( ( mem @ V1x @ A_27a )
% 5.44/5.74 => ! [V2y: $i] :
% 5.44/5.74 ( ( mem @ V2y @ A_27a )
% 5.44/5.74 => ( ( ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V1x ) @ V0s )
% 5.44/5.74 = ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V2y ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) )
% 5.44/5.74 <=> ( ( V1x = V2y )
% 5.44/5.74 & ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V0s ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V2y ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2ECARD__UNION__LE,axiom,
% 5.44/5.74 ! [A_27a: del,V0s: $i] :
% 5.44/5.74 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V1t: $i] :
% 5.44/5.74 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.44/5.74 & ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V1t ) ) )
% 5.44/5.74 => ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ V0s ) @ V1t ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ V0s ) ) @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ V1t ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EIMAGE__SUBSET__gen,axiom,
% 5.44/5.74 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.74 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.74 => ! [V1s: $i] :
% 5.44/5.74 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V2u: $i] :
% 5.44/5.74 ( ( mem @ V2u @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V3t: $i] :
% 5.44/5.74 ( ( mem @ V3t @ ( arr @ A_27b @ bool ) )
% 5.44/5.74 => ( ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V1s ) @ V2u ) )
% 5.44/5.74 & ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27b ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ A_27b ) @ V0f ) @ V2u ) ) @ V3t ) ) )
% 5.44/5.74 => ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27b ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ A_27b ) @ V0f ) @ V1s ) ) @ V3t ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2ECARD__REST,axiom,
% 5.44/5.74 ! [A_27a: del,V0s: $i] :
% 5.44/5.74 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.44/5.74 & ( V0s
% 5.44/5.74 != ( c_2Epred__set_2EEMPTY @ A_27a ) ) )
% 5.44/5.74 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ ( ap @ ( c_2Epred__set_2EREST @ A_27a ) @ V0s ) ) )
% 5.44/5.74 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ V0s ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2ESUBSET__DIFF__EMPTY,axiom,
% 5.44/5.74 ! [A_27a: del,V0s: $i] :
% 5.44/5.74 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V1t: $i] :
% 5.44/5.74 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( ( ap @ ( ap @ ( c_2Epred__set_2EDIFF @ A_27a ) @ V0s ) @ V1t )
% 5.44/5.74 = ( c_2Epred__set_2EEMPTY @ A_27a ) )
% 5.44/5.74 <=> ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V0s ) @ V1t ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EDIFF__INTER__SUBSET,axiom,
% 5.44/5.74 ! [A_27a: del,V0r: $i] :
% 5.44/5.74 ( ( mem @ V0r @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V1s: $i] :
% 5.44/5.74 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V2t: $i] :
% 5.44/5.74 ( ( mem @ V2t @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V0r ) @ V1s ) )
% 5.44/5.74 => ( ( ap @ ( ap @ ( c_2Epred__set_2EDIFF @ A_27a ) @ V0r ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ V1s ) @ V2t ) )
% 5.44/5.74 = ( ap @ ( ap @ ( c_2Epred__set_2EDIFF @ A_27a ) @ V0r ) @ V2t ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EUNION__DIFF__2,axiom,
% 5.44/5.74 ! [A_27a: del,V0s: $i] :
% 5.44/5.74 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V1t: $i] :
% 5.44/5.74 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ V0s ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDIFF @ A_27a ) @ V0s ) @ V1t ) )
% 5.44/5.74 = V0s ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2Ecount__add,axiom,
% 5.44/5.74 ! [V0n: tp__ty_2Enum_2Enum,V1m: tp__ty_2Enum_2Enum] :
% 5.44/5.74 ( ( ap @ c_2Epred__set_2Ecount @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) )
% 5.44/5.74 = ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ ty_2Enum_2Enum ) @ ( ap @ c_2Epred__set_2Ecount @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( ap @ c_2Epred__set_2Ecount @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EIMAGE__EQ__SING,axiom,
% 5.44/5.74 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.74 ( ( mem @ V0f @ ( arr @ A_27b @ A_27a ) )
% 5.44/5.74 => ! [V1s: $i] :
% 5.44/5.74 ( ( mem @ V1s @ ( arr @ A_27b @ bool ) )
% 5.44/5.74 => ! [V2z: $i] :
% 5.44/5.74 ( ( mem @ V2z @ A_27a )
% 5.44/5.74 => ( ( ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27b @ A_27a ) @ V0f ) @ V1s )
% 5.44/5.74 = ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V2z ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) )
% 5.44/5.74 <=> ( ( V1s
% 5.44/5.74 != ( c_2Epred__set_2EEMPTY @ A_27b ) )
% 5.44/5.74 & ! [V3x: $i] :
% 5.44/5.74 ( ( mem @ V3x @ A_27b )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ V3x ) @ V1s ) )
% 5.44/5.74 => ( ( ap @ V0f @ V3x )
% 5.44/5.74 = V2z ) ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2Ecount__add1,axiom,
% 5.44/5.74 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.74 ( ( ap @ c_2Epred__set_2Ecount @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.44/5.74 = ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ c_2Epred__set_2Ecount @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2Ecompl__insert,axiom,
% 5.44/5.74 ! [A_27a: del,V0s: $i] :
% 5.44/5.74 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V1x: $i] :
% 5.44/5.74 ( ( mem @ V1x @ A_27a )
% 5.44/5.74 => ( ( ap @ ( c_2Epred__set_2ECOMPL @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V1x ) @ V0s ) )
% 5.44/5.74 = ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ A_27a ) @ ( ap @ ( c_2Epred__set_2ECOMPL @ A_27a ) @ V0s ) ) @ V1x ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2Ein__max__set,axiom,
% 5.44/5.74 ! [V0s: $i] :
% 5.44/5.74 ( ( mem @ V0s @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ ty_2Enum_2Enum ) @ V0s ) )
% 5.44/5.74 => ! [V1x: tp__ty_2Enum_2Enum] :
% 5.44/5.74 ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ V0s ) )
% 5.44/5.74 => ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Epred__set_2EMAX__SET @ V0s ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(ax_thm_2Epred__set_2EPREIMAGE__def,axiom,
% 5.44/5.74 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.74 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.74 => ! [V1s: $i] :
% 5.44/5.74 ( ( mem @ V1s @ ( arr @ A_27b @ bool ) )
% 5.44/5.74 => ( ( ap @ ( ap @ ( c_2Epred__set_2EPREIMAGE @ A_27a @ A_27b ) @ V0f ) @ V1s )
% 5.44/5.74 = ( ap @ ( c_2Epred__set_2EGSPEC @ A_27a @ A_27a )
% 5.44/5.74 @ ( lam @ A_27a
% 5.44/5.74 @ ^ [V2x: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ bool ) @ V2x ) @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ ( ap @ V0f @ V2x ) ) @ V1s ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EPREIMAGE__ALT,axiom,
% 5.44/5.74 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.74 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.74 => ! [V1s: $i] :
% 5.44/5.74 ( ( mem @ V1s @ ( arr @ A_27b @ bool ) )
% 5.44/5.74 => ( ( ap @ ( ap @ ( c_2Epred__set_2EPREIMAGE @ A_27a @ A_27b ) @ V0f ) @ V1s )
% 5.44/5.74 = ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27a @ bool @ A_27b ) @ V1s ) @ V0f ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EIN__PREIMAGE,axiom,
% 5.44/5.74 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.74 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.74 => ! [V1s: $i] :
% 5.44/5.74 ( ( mem @ V1s @ ( arr @ A_27b @ bool ) )
% 5.44/5.74 => ! [V2x: $i] :
% 5.44/5.74 ( ( mem @ V2x @ A_27a )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ ( ap @ ( ap @ ( c_2Epred__set_2EPREIMAGE @ A_27a @ A_27b ) @ V0f ) @ V1s ) ) )
% 5.44/5.74 <=> ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ ( ap @ V0f @ V2x ) ) @ V1s ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EPREIMAGE__applied,axiom,
% 5.44/5.74 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.74 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.74 => ! [V1s: $i] :
% 5.44/5.74 ( ( mem @ V1s @ ( arr @ A_27b @ bool ) )
% 5.44/5.74 => ! [V2x: $i] :
% 5.44/5.74 ( ( mem @ V2x @ A_27a )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EPREIMAGE @ A_27a @ A_27b ) @ V0f ) @ V1s ) @ V2x ) )
% 5.44/5.74 <=> ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ ( ap @ V0f @ V2x ) ) @ V1s ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EPREIMAGE__EMPTY,axiom,
% 5.44/5.74 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.74 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.74 => ( ( ap @ ( ap @ ( c_2Epred__set_2EPREIMAGE @ A_27a @ A_27b ) @ V0f ) @ ( c_2Epred__set_2EEMPTY @ A_27b ) )
% 5.44/5.74 = ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EPREIMAGE__UNIV,axiom,
% 5.44/5.74 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.74 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.74 => ( ( ap @ ( ap @ ( c_2Epred__set_2EPREIMAGE @ A_27a @ A_27b ) @ V0f ) @ ( c_2Epred__set_2EUNIV @ A_27b ) )
% 5.44/5.74 = ( c_2Epred__set_2EUNIV @ A_27a ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EPREIMAGE__COMPL,axiom,
% 5.44/5.74 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.74 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.74 => ! [V1s: $i] :
% 5.44/5.74 ( ( mem @ V1s @ ( arr @ A_27b @ bool ) )
% 5.44/5.74 => ( ( ap @ ( ap @ ( c_2Epred__set_2EPREIMAGE @ A_27a @ A_27b ) @ V0f ) @ ( ap @ ( c_2Epred__set_2ECOMPL @ A_27b ) @ V1s ) )
% 5.44/5.74 = ( ap @ ( c_2Epred__set_2ECOMPL @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EPREIMAGE @ A_27a @ A_27b ) @ V0f ) @ V1s ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EPREIMAGE__UNION,axiom,
% 5.44/5.74 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.74 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.74 => ! [V1s: $i] :
% 5.44/5.74 ( ( mem @ V1s @ ( arr @ A_27b @ bool ) )
% 5.44/5.74 => ! [V2t: $i] :
% 5.44/5.74 ( ( mem @ V2t @ ( arr @ A_27b @ bool ) )
% 5.44/5.74 => ( ( ap @ ( ap @ ( c_2Epred__set_2EPREIMAGE @ A_27a @ A_27b ) @ V0f ) @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27b ) @ V1s ) @ V2t ) )
% 5.44/5.74 = ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EPREIMAGE @ A_27a @ A_27b ) @ V0f ) @ V1s ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2EPREIMAGE @ A_27a @ A_27b ) @ V0f ) @ V2t ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EPREIMAGE__INTER,axiom,
% 5.44/5.74 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.74 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.74 => ! [V1s: $i] :
% 5.44/5.74 ( ( mem @ V1s @ ( arr @ A_27b @ bool ) )
% 5.44/5.74 => ! [V2t: $i] :
% 5.44/5.74 ( ( mem @ V2t @ ( arr @ A_27b @ bool ) )
% 5.44/5.74 => ( ( ap @ ( ap @ ( c_2Epred__set_2EPREIMAGE @ A_27a @ A_27b ) @ V0f ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27b ) @ V1s ) @ V2t ) )
% 5.44/5.74 = ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EPREIMAGE @ A_27a @ A_27b ) @ V0f ) @ V1s ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2EPREIMAGE @ A_27a @ A_27b ) @ V0f ) @ V2t ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EPREIMAGE__BIGUNION,axiom,
% 5.44/5.74 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.74 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.74 => ! [V1s: $i] :
% 5.44/5.74 ( ( mem @ V1s @ ( arr @ ( arr @ A_27b @ bool ) @ bool ) )
% 5.44/5.74 => ( ( ap @ ( ap @ ( c_2Epred__set_2EPREIMAGE @ A_27a @ A_27b ) @ V0f ) @ ( ap @ ( c_2Epred__set_2EBIGUNION @ A_27b ) @ V1s ) )
% 5.44/5.74 = ( ap @ ( c_2Epred__set_2EBIGUNION @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ ( arr @ A_27b @ bool ) @ ( arr @ A_27a @ bool ) ) @ ( ap @ ( c_2Epred__set_2EPREIMAGE @ A_27a @ A_27b ) @ V0f ) ) @ V1s ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EPREIMAGE__COMP,axiom,
% 5.44/5.74 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.44/5.74 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.74 => ! [V1g: $i] :
% 5.44/5.74 ( ( mem @ V1g @ ( arr @ A_27b @ A_27c ) )
% 5.44/5.74 => ! [V2s: $i] :
% 5.44/5.74 ( ( mem @ V2s @ ( arr @ A_27c @ bool ) )
% 5.44/5.74 => ( ( ap @ ( ap @ ( c_2Epred__set_2EPREIMAGE @ A_27a @ A_27b ) @ V0f ) @ ( ap @ ( ap @ ( c_2Epred__set_2EPREIMAGE @ A_27b @ A_27c ) @ V1g ) @ V2s ) )
% 5.44/5.74 = ( ap @ ( ap @ ( c_2Epred__set_2EPREIMAGE @ A_27a @ A_27c ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27a @ A_27c @ A_27b ) @ V1g ) @ V0f ) ) @ V2s ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EPREIMAGE__DIFF,axiom,
% 5.44/5.74 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.74 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.74 => ! [V1s: $i] :
% 5.44/5.74 ( ( mem @ V1s @ ( arr @ A_27b @ bool ) )
% 5.44/5.74 => ! [V2t: $i] :
% 5.44/5.74 ( ( mem @ V2t @ ( arr @ A_27b @ bool ) )
% 5.44/5.74 => ( ( ap @ ( ap @ ( c_2Epred__set_2EPREIMAGE @ A_27a @ A_27b ) @ V0f ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDIFF @ A_27b ) @ V1s ) @ V2t ) )
% 5.44/5.74 = ( ap @ ( ap @ ( c_2Epred__set_2EDIFF @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EPREIMAGE @ A_27a @ A_27b ) @ V0f ) @ V1s ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2EPREIMAGE @ A_27a @ A_27b ) @ V0f ) @ V2t ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EPREIMAGE__I,axiom,
% 5.44/5.74 ! [A_27a: del] :
% 5.44/5.74 ( ( ap @ ( c_2Epred__set_2EPREIMAGE @ A_27a @ A_27a ) @ ( c_2Ecombin_2EI @ A_27a ) )
% 5.44/5.74 = ( c_2Ecombin_2EI @ ( arr @ A_27a @ bool ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EPREIMAGE__K,axiom,
% 5.44/5.74 ! [A_27a: del,A_27b: del,V0x: $i] :
% 5.44/5.74 ( ( mem @ V0x @ A_27a )
% 5.44/5.74 => ! [V1s: $i] :
% 5.44/5.74 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( ap @ ( ap @ ( c_2Epred__set_2EPREIMAGE @ A_27b @ A_27a ) @ ( ap @ ( c_2Ecombin_2EK @ A_27a @ A_27b ) @ V0x ) ) @ V1s )
% 5.44/5.74 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( arr @ A_27b @ bool ) ) @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0x ) @ V1s ) ) @ ( c_2Epred__set_2EUNIV @ A_27b ) ) @ ( c_2Epred__set_2EEMPTY @ A_27b ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EPREIMAGE__DISJOINT,axiom,
% 5.44/5.74 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.74 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.74 => ! [V1s: $i] :
% 5.44/5.74 ( ( mem @ V1s @ ( arr @ A_27b @ bool ) )
% 5.44/5.74 => ! [V2t: $i] :
% 5.44/5.74 ( ( mem @ V2t @ ( arr @ A_27b @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2EDISJOINT @ A_27b ) @ V1s ) @ V2t ) )
% 5.44/5.74 => ( p @ ( ap @ ( ap @ ( c_2Epred__set_2EDISJOINT @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EPREIMAGE @ A_27a @ A_27b ) @ V0f ) @ V1s ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2EPREIMAGE @ A_27a @ A_27b ) @ V0f ) @ V2t ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EPREIMAGE__SUBSET,axiom,
% 5.44/5.74 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.74 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.74 => ! [V1s: $i] :
% 5.44/5.74 ( ( mem @ V1s @ ( arr @ A_27b @ bool ) )
% 5.44/5.74 => ! [V2t: $i] :
% 5.44/5.74 ( ( mem @ V2t @ ( arr @ A_27b @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27b ) @ V1s ) @ V2t ) )
% 5.44/5.74 => ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EPREIMAGE @ A_27a @ A_27b ) @ V0f ) @ V1s ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2EPREIMAGE @ A_27a @ A_27b ) @ V0f ) @ V2t ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EPREIMAGE__CROSS,axiom,
% 5.44/5.74 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.44/5.74 ( ( mem @ V0f @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27c ) ) )
% 5.44/5.74 => ! [V1a: $i] :
% 5.44/5.74 ( ( mem @ V1a @ ( arr @ A_27b @ bool ) )
% 5.44/5.74 => ! [V2b: $i] :
% 5.44/5.74 ( ( mem @ V2b @ ( arr @ A_27c @ bool ) )
% 5.44/5.74 => ( ( ap @ ( ap @ ( c_2Epred__set_2EPREIMAGE @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27c ) ) @ V0f ) @ ( ap @ ( ap @ ( c_2Epred__set_2ECROSS @ A_27b @ A_27c ) @ V1a ) @ V2b ) )
% 5.44/5.74 = ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EPREIMAGE @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27a @ A_27b @ ( ty_2Epair_2Eprod @ A_27b @ A_27c ) ) @ ( c_2Epair_2EFST @ A_27b @ A_27c ) ) @ V0f ) ) @ V1a ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2EPREIMAGE @ A_27a @ A_27c ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27a @ A_27c @ ( ty_2Epair_2Eprod @ A_27b @ A_27c ) ) @ ( c_2Epair_2ESND @ A_27b @ A_27c ) ) @ V0f ) ) @ V2b ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EPREIMAGE__COMPL__INTER,axiom,
% 5.44/5.74 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.74 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.74 => ! [V1t: $i] :
% 5.44/5.74 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.44/5.74 => ! [V2sp: $i] :
% 5.44/5.74 ( ( mem @ V2sp @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EPREIMAGE @ A_27a @ A_27b ) @ V0f ) @ ( ap @ ( c_2Epred__set_2ECOMPL @ A_27b ) @ V1t ) ) ) @ V2sp )
% 5.44/5.74 = ( ap @ ( ap @ ( c_2Epred__set_2EDIFF @ A_27a ) @ V2sp ) @ ( ap @ ( ap @ ( c_2Epred__set_2EPREIMAGE @ A_27a @ A_27b ) @ V0f ) @ V1t ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EPREIMAGE__IMAGE,axiom,
% 5.44/5.74 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.74 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.74 => ! [V1s: $i] :
% 5.44/5.74 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V1s ) @ ( ap @ ( ap @ ( c_2Epred__set_2EPREIMAGE @ A_27a @ A_27b ) @ V0f ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ A_27b ) @ V0f ) @ V1s ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EIMAGE__PREIMAGE,axiom,
% 5.44/5.74 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.74 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.74 => ! [V1s: $i] :
% 5.44/5.74 ( ( mem @ V1s @ ( arr @ A_27b @ bool ) )
% 5.44/5.74 => ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27b ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ A_27b ) @ V0f ) @ ( ap @ ( ap @ ( c_2Epred__set_2EPREIMAGE @ A_27a @ A_27b ) @ V0f ) @ V1s ) ) ) @ V1s ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(ax_thm_2Epred__set_2Eis__measure__maximal__def,axiom,
% 5.44/5.74 ! [A_27a: del,V0m: $i] :
% 5.44/5.74 ( ( mem @ V0m @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.44/5.74 => ! [V1s: $i] :
% 5.44/5.74 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V2x: $i] :
% 5.44/5.74 ( ( mem @ V2x @ A_27a )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2Eis__measure__maximal @ A_27a ) @ V0m ) @ V1s ) @ V2x ) )
% 5.44/5.74 <=> ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V1s ) )
% 5.44/5.74 & ! [V3y: $i] :
% 5.44/5.74 ( ( mem @ V3y @ A_27a )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3y ) @ V1s ) )
% 5.44/5.74 => ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ V0m @ V3y ) ) @ ( ap @ V0m @ V2x ) ) ) ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2EFINITE__is__measure__maximal,axiom,
% 5.44/5.74 ! [A_27a: del,V0m: $i] :
% 5.44/5.74 ( ( mem @ V0m @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.44/5.74 => ! [V1s: $i] :
% 5.44/5.74 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V1s ) )
% 5.44/5.74 & ( V1s
% 5.44/5.74 != ( c_2Epred__set_2EEMPTY @ A_27a ) ) )
% 5.44/5.74 => ? [V2x: $i] :
% 5.44/5.74 ( ( mem @ V2x @ A_27a )
% 5.44/5.74 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2Eis__measure__maximal @ A_27a ) @ V0m ) @ V1s ) @ V2x ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2Eis__measure__maximal__SING,axiom,
% 5.44/5.74 ! [A_27a: del,V0m: $i] :
% 5.44/5.74 ( ( mem @ V0m @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.44/5.74 => ! [V1x: $i] :
% 5.44/5.74 ( ( mem @ V1x @ A_27a )
% 5.44/5.74 => ! [V2y: $i] :
% 5.44/5.74 ( ( mem @ V2y @ A_27a )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2Eis__measure__maximal @ A_27a ) @ V0m ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V1x ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) @ V2y ) )
% 5.44/5.74 <=> ( V2y = V1x ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2Epred__set_2Eis__measure__maximal__INSERT,axiom,
% 5.44/5.74 ! [A_27a: del,V0x: $i] :
% 5.44/5.74 ( ( mem @ V0x @ A_27a )
% 5.44/5.74 => ! [V1s: $i] :
% 5.44/5.74 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V2m: $i] :
% 5.44/5.74 ( ( mem @ V2m @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.44/5.74 => ! [V3e: $i] :
% 5.44/5.74 ( ( mem @ V3e @ A_27a )
% 5.44/5.74 => ! [V4y: $i] :
% 5.44/5.74 ( ( mem @ V4y @ A_27a )
% 5.44/5.74 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0x ) @ V1s ) )
% 5.44/5.74 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ V2m @ V3e ) ) @ ( ap @ V2m @ V0x ) ) ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2Eis__measure__maximal @ A_27a ) @ V2m ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V3e ) @ V1s ) ) @ V4y ) )
% 5.44/5.74 <=> ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2Eis__measure__maximal @ A_27a ) @ V2m ) @ V1s ) @ V4y ) ) ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 %------------------------------------------------------------------------------
% 5.44/5.74 %------------------------------------------------------------------------------
% 5.44/5.74 thf(tp_c_2EfixedPoint_2Eclosed,type,
% 5.44/5.74 c_2EfixedPoint_2Eclosed: del > $i ).
% 5.44/5.74
% 5.44/5.74 thf(mem_c_2EfixedPoint_2Eclosed,axiom,
% 5.44/5.74 ! [A_27a: del] : ( mem @ ( c_2EfixedPoint_2Eclosed @ A_27a ) @ ( arr @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ bool ) ) @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(tp_c_2EfixedPoint_2Edense,type,
% 5.44/5.74 c_2EfixedPoint_2Edense: del > $i ).
% 5.44/5.74
% 5.44/5.74 thf(mem_c_2EfixedPoint_2Edense,axiom,
% 5.44/5.74 ! [A_27a: del] : ( mem @ ( c_2EfixedPoint_2Edense @ A_27a ) @ ( arr @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ bool ) ) @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(tp_c_2EfixedPoint_2Eempty,type,
% 5.44/5.74 c_2EfixedPoint_2Eempty: del > del > $i ).
% 5.44/5.74
% 5.44/5.74 thf(mem_c_2EfixedPoint_2Eempty,axiom,
% 5.44/5.74 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2EfixedPoint_2Eempty @ A_27a @ A_27b ) @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(tp_c_2EfixedPoint_2Efnsum,type,
% 5.44/5.74 c_2EfixedPoint_2Efnsum: del > del > $i ).
% 5.44/5.74
% 5.44/5.74 thf(mem_c_2EfixedPoint_2Efnsum,axiom,
% 5.44/5.74 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2EfixedPoint_2Efnsum @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27b @ ( arr @ A_27a @ bool ) ) @ ( arr @ ( arr @ A_27b @ ( arr @ A_27a @ bool ) ) @ ( arr @ A_27b @ ( arr @ A_27a @ bool ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(tp_c_2EfixedPoint_2Egfp,type,
% 5.44/5.74 c_2EfixedPoint_2Egfp: del > $i ).
% 5.44/5.74
% 5.44/5.74 thf(mem_c_2EfixedPoint_2Egfp,axiom,
% 5.44/5.74 ! [A_27a: del] : ( mem @ ( c_2EfixedPoint_2Egfp @ A_27a ) @ ( arr @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ bool ) ) @ ( arr @ A_27a @ bool ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(tp_c_2EfixedPoint_2Elfp,type,
% 5.44/5.74 c_2EfixedPoint_2Elfp: del > $i ).
% 5.44/5.74
% 5.44/5.74 thf(mem_c_2EfixedPoint_2Elfp,axiom,
% 5.44/5.74 ! [A_27a: del] : ( mem @ ( c_2EfixedPoint_2Elfp @ A_27a ) @ ( arr @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ bool ) ) @ ( arr @ A_27a @ bool ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(tp_c_2EfixedPoint_2Emonotone,type,
% 5.44/5.74 c_2EfixedPoint_2Emonotone: del > del > $i ).
% 5.44/5.74
% 5.44/5.74 thf(mem_c_2EfixedPoint_2Emonotone,axiom,
% 5.44/5.74 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2EfixedPoint_2Emonotone @ A_27a @ A_27b ) @ ( arr @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ A_27b @ bool ) ) @ bool ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(ax_thm_2EfixedPoint_2Emonotone__def,axiom,
% 5.44/5.74 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.74 ( ( mem @ V0f @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( c_2EfixedPoint_2Emonotone @ A_27a @ A_27b ) @ V0f ) )
% 5.44/5.74 <=> ! [V1X: $i] :
% 5.44/5.74 ( ( mem @ V1X @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V2Y: $i] :
% 5.44/5.74 ( ( mem @ V2Y @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V1X ) @ V2Y ) )
% 5.44/5.74 => ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27b ) @ ( ap @ V0f @ V1X ) ) @ ( ap @ V0f @ V2Y ) ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(ax_thm_2EfixedPoint_2Elfp__def,axiom,
% 5.44/5.74 ! [A_27a: del,V0f: $i] :
% 5.44/5.74 ( ( mem @ V0f @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.74 => ( ( ap @ ( c_2EfixedPoint_2Elfp @ A_27a ) @ V0f )
% 5.44/5.74 = ( ap @ ( c_2Epred__set_2EBIGINTER @ A_27a )
% 5.44/5.74 @ ( ap @ ( c_2Epred__set_2EGSPEC @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 @ ( lam @ ( arr @ A_27a @ bool )
% 5.44/5.74 @ ^ [V1X: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( arr @ A_27a @ bool ) @ bool ) @ V1X ) @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ ( ap @ V0f @ V1X ) ) @ V1X ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(ax_thm_2EfixedPoint_2Egfp__def,axiom,
% 5.44/5.74 ! [A_27a: del,V0f: $i] :
% 5.44/5.74 ( ( mem @ V0f @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.74 => ( ( ap @ ( c_2EfixedPoint_2Egfp @ A_27a ) @ V0f )
% 5.44/5.74 = ( ap @ ( c_2Epred__set_2EBIGUNION @ A_27a )
% 5.44/5.74 @ ( ap @ ( c_2Epred__set_2EGSPEC @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 @ ( lam @ ( arr @ A_27a @ bool )
% 5.44/5.74 @ ^ [V1X: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( arr @ A_27a @ bool ) @ bool ) @ V1X ) @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V1X ) @ ( ap @ V0f @ V1X ) ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(ax_thm_2EfixedPoint_2Eclosed__def,axiom,
% 5.44/5.74 ! [A_27a: del,V0f: $i] :
% 5.44/5.74 ( ( mem @ V0f @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.74 => ! [V1X: $i] :
% 5.44/5.74 ( ( mem @ V1X @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( c_2EfixedPoint_2Eclosed @ A_27a ) @ V0f ) @ V1X ) )
% 5.44/5.74 <=> ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ ( ap @ V0f @ V1X ) ) @ V1X ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(ax_thm_2EfixedPoint_2Edense__def,axiom,
% 5.44/5.74 ! [A_27a: del,V0f: $i] :
% 5.44/5.74 ( ( mem @ V0f @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.74 => ! [V1X: $i] :
% 5.44/5.74 ( ( mem @ V1X @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( c_2EfixedPoint_2Edense @ A_27a ) @ V0f ) @ V1X ) )
% 5.44/5.74 <=> ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V1X ) @ ( ap @ V0f @ V1X ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2EfixedPoint_2Elfp__least__closed,axiom,
% 5.44/5.74 ! [A_27a: del,V0f: $i] :
% 5.44/5.74 ( ( mem @ V0f @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( c_2EfixedPoint_2Emonotone @ A_27a @ A_27a ) @ V0f ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( c_2EfixedPoint_2Eclosed @ A_27a ) @ V0f ) @ ( ap @ ( c_2EfixedPoint_2Elfp @ A_27a ) @ V0f ) ) )
% 5.44/5.74 & ! [V1X: $i] :
% 5.44/5.74 ( ( mem @ V1X @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( c_2EfixedPoint_2Eclosed @ A_27a ) @ V0f ) @ V1X ) )
% 5.44/5.74 => ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ ( ap @ ( c_2EfixedPoint_2Elfp @ A_27a ) @ V0f ) ) @ V1X ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2EfixedPoint_2Egfp__greatest__dense,axiom,
% 5.44/5.74 ! [A_27a: del,V0f: $i] :
% 5.44/5.74 ( ( mem @ V0f @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( c_2EfixedPoint_2Emonotone @ A_27a @ A_27a ) @ V0f ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( c_2EfixedPoint_2Edense @ A_27a ) @ V0f ) @ ( ap @ ( c_2EfixedPoint_2Egfp @ A_27a ) @ V0f ) ) )
% 5.44/5.74 & ! [V1X: $i] :
% 5.44/5.74 ( ( mem @ V1X @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( c_2EfixedPoint_2Edense @ A_27a ) @ V0f ) @ V1X ) )
% 5.44/5.74 => ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V1X ) @ ( ap @ ( c_2EfixedPoint_2Egfp @ A_27a ) @ V0f ) ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2EfixedPoint_2Elfp__fixedpoint,axiom,
% 5.44/5.74 ! [A_27a: del,V0f: $i] :
% 5.44/5.74 ( ( mem @ V0f @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( c_2EfixedPoint_2Emonotone @ A_27a @ A_27a ) @ V0f ) )
% 5.44/5.74 => ( ( ( ap @ ( c_2EfixedPoint_2Elfp @ A_27a ) @ V0f )
% 5.44/5.74 = ( ap @ V0f @ ( ap @ ( c_2EfixedPoint_2Elfp @ A_27a ) @ V0f ) ) )
% 5.44/5.74 & ! [V1X: $i] :
% 5.44/5.74 ( ( mem @ V1X @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( V1X
% 5.44/5.74 = ( ap @ V0f @ V1X ) )
% 5.44/5.74 => ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ ( ap @ ( c_2EfixedPoint_2Elfp @ A_27a ) @ V0f ) ) @ V1X ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2EfixedPoint_2Egfp__greatest__fixedpoint,axiom,
% 5.44/5.74 ! [A_27a: del,V0f: $i] :
% 5.44/5.74 ( ( mem @ V0f @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( c_2EfixedPoint_2Emonotone @ A_27a @ A_27a ) @ V0f ) )
% 5.44/5.74 => ( ( ( ap @ ( c_2EfixedPoint_2Egfp @ A_27a ) @ V0f )
% 5.44/5.74 = ( ap @ V0f @ ( ap @ ( c_2EfixedPoint_2Egfp @ A_27a ) @ V0f ) ) )
% 5.44/5.74 & ! [V1X: $i] :
% 5.44/5.74 ( ( mem @ V1X @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( V1X
% 5.44/5.74 = ( ap @ V0f @ V1X ) )
% 5.44/5.74 => ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V1X ) @ ( ap @ ( c_2EfixedPoint_2Egfp @ A_27a ) @ V0f ) ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2EfixedPoint_2Elfp__induction,axiom,
% 5.44/5.74 ! [A_27a: del,V0f: $i] :
% 5.44/5.74 ( ( mem @ V0f @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( c_2EfixedPoint_2Emonotone @ A_27a @ A_27a ) @ V0f ) )
% 5.44/5.74 => ! [V1X: $i] :
% 5.44/5.74 ( ( mem @ V1X @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ ( ap @ V0f @ V1X ) ) @ V1X ) )
% 5.44/5.74 => ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ ( ap @ ( c_2EfixedPoint_2Elfp @ A_27a ) @ V0f ) ) @ V1X ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2EfixedPoint_2Egfp__coinduction,axiom,
% 5.44/5.74 ! [A_27a: del,V0f: $i] :
% 5.44/5.74 ( ( mem @ V0f @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( c_2EfixedPoint_2Emonotone @ A_27a @ A_27a ) @ V0f ) )
% 5.44/5.74 => ! [V1X: $i] :
% 5.44/5.74 ( ( mem @ V1X @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V1X ) @ ( ap @ V0f @ V1X ) ) )
% 5.44/5.74 => ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V1X ) @ ( ap @ ( c_2EfixedPoint_2Egfp @ A_27a ) @ V0f ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2EfixedPoint_2Elfp__strong__induction,axiom,
% 5.44/5.74 ! [A_27a: del,V0f: $i] :
% 5.44/5.74 ( ( mem @ V0f @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( c_2EfixedPoint_2Emonotone @ A_27a @ A_27a ) @ V0f ) )
% 5.44/5.74 => ! [V1X: $i] :
% 5.44/5.74 ( ( mem @ V1X @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ ( ap @ V0f @ ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ V1X ) @ ( ap @ ( c_2EfixedPoint_2Elfp @ A_27a ) @ V0f ) ) ) ) @ V1X ) )
% 5.44/5.74 => ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ ( ap @ ( c_2EfixedPoint_2Elfp @ A_27a ) @ V0f ) ) @ V1X ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2EfixedPoint_2Egfp__strong__coinduction,axiom,
% 5.44/5.74 ! [A_27a: del,V0f: $i] :
% 5.44/5.74 ( ( mem @ V0f @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( c_2EfixedPoint_2Emonotone @ A_27a @ A_27a ) @ V0f ) )
% 5.44/5.74 => ! [V1X: $i] :
% 5.44/5.74 ( ( mem @ V1X @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V1X ) @ ( ap @ V0f @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ V1X ) @ ( ap @ ( c_2EfixedPoint_2Egfp @ A_27a ) @ V0f ) ) ) ) )
% 5.44/5.74 => ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V1X ) @ ( ap @ ( c_2EfixedPoint_2Egfp @ A_27a ) @ V0f ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(ax_thm_2EfixedPoint_2Efnsum__def,axiom,
% 5.44/5.74 ! [A_27a: del,A_27b: del,V0f1: $i] :
% 5.44/5.74 ( ( mem @ V0f1 @ ( arr @ A_27b @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.74 => ! [V1f2: $i] :
% 5.44/5.74 ( ( mem @ V1f2 @ ( arr @ A_27b @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.74 => ! [V2X: $i] :
% 5.44/5.74 ( ( mem @ V2X @ A_27b )
% 5.44/5.74 => ( ( ap @ ( ap @ ( ap @ ( c_2EfixedPoint_2Efnsum @ A_27a @ A_27b ) @ V0f1 ) @ V1f2 ) @ V2X )
% 5.44/5.74 = ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ ( ap @ V0f1 @ V2X ) ) @ ( ap @ V1f2 @ V2X ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2EfixedPoint_2Efnsum__monotone,axiom,
% 5.44/5.74 ! [A_27a: del,A_27b: del,V0f1: $i] :
% 5.44/5.74 ( ( mem @ V0f1 @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.74 => ! [V1f2: $i] :
% 5.44/5.74 ( ( mem @ V1f2 @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.74 => ( ( ( p @ ( ap @ ( c_2EfixedPoint_2Emonotone @ A_27a @ A_27b ) @ V0f1 ) )
% 5.44/5.74 & ( p @ ( ap @ ( c_2EfixedPoint_2Emonotone @ A_27a @ A_27b ) @ V1f2 ) ) )
% 5.44/5.74 => ( p @ ( ap @ ( c_2EfixedPoint_2Emonotone @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2EfixedPoint_2Efnsum @ A_27b @ ( arr @ A_27a @ bool ) ) @ V0f1 ) @ V1f2 ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(ax_thm_2EfixedPoint_2Eempty__def,axiom,
% 5.44/5.74 ! [A_27a: del,A_27b: del] :
% 5.44/5.74 ( ( c_2EfixedPoint_2Eempty @ A_27a @ A_27b )
% 5.44/5.74 = ( lam @ A_27a
% 5.44/5.74 @ ^ [V0X: $i] : ( c_2Epred__set_2EEMPTY @ A_27b ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2EfixedPoint_2Eempty__monotone,axiom,
% 5.44/5.74 ! [A_27a: del,A_27b: del] : ( p @ ( ap @ ( c_2EfixedPoint_2Emonotone @ A_27a @ A_27b ) @ ( c_2EfixedPoint_2Eempty @ ( arr @ A_27a @ bool ) @ A_27b ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2EfixedPoint_2Efnsum__empty,axiom,
% 5.44/5.74 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.74 ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.74 => ( ( ( ap @ ( ap @ ( c_2EfixedPoint_2Efnsum @ A_27b @ A_27a ) @ V0f ) @ ( c_2EfixedPoint_2Eempty @ A_27a @ A_27b ) )
% 5.44/5.74 = V0f )
% 5.44/5.74 & ( ( ap @ ( ap @ ( c_2EfixedPoint_2Efnsum @ A_27b @ A_27a ) @ ( c_2EfixedPoint_2Eempty @ A_27a @ A_27b ) ) @ V0f )
% 5.44/5.74 = V0f ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2EfixedPoint_2Efnsum__ASSOC,axiom,
% 5.44/5.74 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.74 ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.74 => ! [V1g: $i] :
% 5.44/5.74 ( ( mem @ V1g @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.74 => ! [V2h: $i] :
% 5.44/5.74 ( ( mem @ V2h @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.74 => ( ( ap @ ( ap @ ( c_2EfixedPoint_2Efnsum @ A_27b @ A_27a ) @ V0f ) @ ( ap @ ( ap @ ( c_2EfixedPoint_2Efnsum @ A_27b @ A_27a ) @ V1g ) @ V2h ) )
% 5.44/5.74 = ( ap @ ( ap @ ( c_2EfixedPoint_2Efnsum @ A_27b @ A_27a ) @ ( ap @ ( ap @ ( c_2EfixedPoint_2Efnsum @ A_27b @ A_27a ) @ V0f ) @ V1g ) ) @ V2h ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2EfixedPoint_2Efnsum__COMM,axiom,
% 5.44/5.74 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.74 ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.74 => ! [V1g: $i] :
% 5.44/5.74 ( ( mem @ V1g @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.74 => ( ( ap @ ( ap @ ( c_2EfixedPoint_2Efnsum @ A_27b @ A_27a ) @ V0f ) @ V1g )
% 5.44/5.74 = ( ap @ ( ap @ ( c_2EfixedPoint_2Efnsum @ A_27b @ A_27a ) @ V1g ) @ V0f ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2EfixedPoint_2Efnsum__SUBSET,axiom,
% 5.44/5.74 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.74 ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.74 => ! [V1g: $i] :
% 5.44/5.74 ( ( mem @ V1g @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.74 => ! [V2X: $i] :
% 5.44/5.74 ( ( mem @ V2X @ A_27a )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27b ) @ ( ap @ V0f @ V2X ) ) @ ( ap @ ( ap @ ( ap @ ( c_2EfixedPoint_2Efnsum @ A_27b @ A_27a ) @ V0f ) @ V1g ) @ V2X ) ) )
% 5.44/5.74 & ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27b ) @ ( ap @ V1g @ V2X ) ) @ ( ap @ ( ap @ ( ap @ ( c_2EfixedPoint_2Efnsum @ A_27b @ A_27a ) @ V0f ) @ V1g ) @ V2X ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2EfixedPoint_2Elfp__fnsum,axiom,
% 5.44/5.74 ! [A_27a: del,V0f1: $i] :
% 5.44/5.74 ( ( mem @ V0f1 @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.74 => ! [V1f2: $i] :
% 5.44/5.74 ( ( mem @ V1f2 @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.74 => ( ( ( p @ ( ap @ ( c_2EfixedPoint_2Emonotone @ A_27a @ A_27a ) @ V0f1 ) )
% 5.44/5.74 & ( p @ ( ap @ ( c_2EfixedPoint_2Emonotone @ A_27a @ A_27a ) @ V1f2 ) ) )
% 5.44/5.74 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ ( ap @ ( c_2EfixedPoint_2Elfp @ A_27a ) @ V0f1 ) ) @ ( ap @ ( c_2EfixedPoint_2Elfp @ A_27a ) @ ( ap @ ( ap @ ( c_2EfixedPoint_2Efnsum @ A_27a @ ( arr @ A_27a @ bool ) ) @ V0f1 ) @ V1f2 ) ) ) )
% 5.44/5.74 & ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ ( ap @ ( c_2EfixedPoint_2Elfp @ A_27a ) @ V1f2 ) ) @ ( ap @ ( c_2EfixedPoint_2Elfp @ A_27a ) @ ( ap @ ( ap @ ( c_2EfixedPoint_2Efnsum @ A_27a @ ( arr @ A_27a @ bool ) ) @ V0f1 ) @ V1f2 ) ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2EfixedPoint_2Elfp__rule__applied,axiom,
% 5.44/5.74 ! [A_27a: del,V0f: $i] :
% 5.44/5.74 ( ( mem @ V0f @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.74 => ! [V1X: $i] :
% 5.44/5.74 ( ( mem @ V1X @ ( arr @ A_27a @ bool ) )
% 5.44/5.74 => ! [V2y: $i] :
% 5.44/5.74 ( ( mem @ V2y @ A_27a )
% 5.44/5.74 => ( ( ( p @ ( ap @ ( c_2EfixedPoint_2Emonotone @ A_27a @ A_27a ) @ V0f ) )
% 5.44/5.74 & ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V1X ) @ ( ap @ ( c_2EfixedPoint_2Elfp @ A_27a ) @ V0f ) ) )
% 5.44/5.74 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2y ) @ ( ap @ V0f @ V1X ) ) ) )
% 5.44/5.74 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2y ) @ ( ap @ ( c_2EfixedPoint_2Elfp @ A_27a ) @ V0f ) ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 thf(conj_thm_2EfixedPoint_2Elfp__empty,axiom,
% 5.44/5.74 ! [A_27a: del,V0f: $i] :
% 5.44/5.74 ( ( mem @ V0f @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.74 => ! [V1x: $i] :
% 5.44/5.74 ( ( mem @ V1x @ A_27a )
% 5.44/5.74 => ( ( ( p @ ( ap @ ( c_2EfixedPoint_2Emonotone @ A_27a @ A_27a ) @ V0f ) )
% 5.44/5.74 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V1x ) @ ( ap @ V0f @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) ) )
% 5.44/5.74 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V1x ) @ ( ap @ ( c_2EfixedPoint_2Elfp @ A_27a ) @ V0f ) ) ) ) ) ) ).
% 5.44/5.74
% 5.44/5.74 %------------------------------------------------------------------------------
% 5.44/5.74 %------------------------------------------------------------------------------
% 5.44/5.74 thf(tp_c_2Enumeral__bit_2EBIT__MODF,type,
% 5.44/5.74 c_2Enumeral__bit_2EBIT__MODF: $i ).
% 5.44/5.74
% 5.44/5.74 thf(mem_c_2Enumeral__bit_2EBIT__MODF,axiom,
% 5.44/5.74 mem @ c_2Enumeral__bit_2EBIT__MODF @ ( arr @ ty_2Enum_2Enum @ ( arr @ ( arr @ ty_2Enum_2Enum @ ( arr @ bool @ bool ) ) @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(tp_c_2Enumeral__bit_2EBIT__REV,type,
% 5.44/5.75 c_2Enumeral__bit_2EBIT__REV: $i ).
% 5.44/5.75
% 5.44/5.75 thf(mem_c_2Enumeral__bit_2EBIT__REV,axiom,
% 5.44/5.75 mem @ c_2Enumeral__bit_2EBIT__REV @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(stp_fo_c_2Enumeral__bit_2EBIT__REV,type,
% 5.44/5.75 fo__c_2Enumeral__bit_2EBIT__REV: tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum ).
% 5.44/5.75
% 5.44/5.75 thf(stp_eq_fo_c_2Enumeral__bit_2EBIT__REV,axiom,
% 5.44/5.75 ! [X0: tp__ty_2Enum_2Enum,X1: tp__ty_2Enum_2Enum,X2: tp__ty_2Enum_2Enum] :
% 5.44/5.75 ( ( inj__ty_2Enum_2Enum @ ( fo__c_2Enumeral__bit_2EBIT__REV @ X0 @ X1 @ X2 ) )
% 5.44/5.75 = ( ap @ ( ap @ ( ap @ c_2Enumeral__bit_2EBIT__REV @ ( inj__ty_2Enum_2Enum @ X0 ) ) @ ( inj__ty_2Enum_2Enum @ X1 ) ) @ ( inj__ty_2Enum_2Enum @ X2 ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(tp_c_2Enumeral__bit_2EFDUB,type,
% 5.44/5.75 c_2Enumeral__bit_2EFDUB: $i ).
% 5.44/5.75
% 5.44/5.75 thf(mem_c_2Enumeral__bit_2EFDUB,axiom,
% 5.44/5.75 mem @ c_2Enumeral__bit_2EFDUB @ ( arr @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(tp_c_2Enumeral__bit_2ESFUNPOW,type,
% 5.44/5.75 c_2Enumeral__bit_2ESFUNPOW: $i ).
% 5.44/5.75
% 5.44/5.75 thf(mem_c_2Enumeral__bit_2ESFUNPOW,axiom,
% 5.44/5.75 mem @ c_2Enumeral__bit_2ESFUNPOW @ ( arr @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(tp_c_2Enumeral__bit_2EiBITWISE,type,
% 5.44/5.75 c_2Enumeral__bit_2EiBITWISE: $i ).
% 5.44/5.75
% 5.44/5.75 thf(mem_c_2Enumeral__bit_2EiBITWISE,axiom,
% 5.44/5.75 mem @ c_2Enumeral__bit_2EiBITWISE @ ( arr @ ty_2Enum_2Enum @ ( arr @ ( arr @ bool @ ( arr @ bool @ bool ) ) @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(tp_c_2Enumeral__bit_2EiDIV2,type,
% 5.44/5.75 c_2Enumeral__bit_2EiDIV2: $i ).
% 5.44/5.75
% 5.44/5.75 thf(mem_c_2Enumeral__bit_2EiDIV2,axiom,
% 5.44/5.75 mem @ c_2Enumeral__bit_2EiDIV2 @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ).
% 5.44/5.75
% 5.44/5.75 thf(stp_fo_c_2Enumeral__bit_2EiDIV2,type,
% 5.44/5.75 fo__c_2Enumeral__bit_2EiDIV2: tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum ).
% 5.44/5.75
% 5.44/5.75 thf(stp_eq_fo_c_2Enumeral__bit_2EiDIV2,axiom,
% 5.44/5.75 ! [X0: tp__ty_2Enum_2Enum] :
% 5.44/5.75 ( ( inj__ty_2Enum_2Enum @ ( fo__c_2Enumeral__bit_2EiDIV2 @ X0 ) )
% 5.44/5.75 = ( ap @ c_2Enumeral__bit_2EiDIV2 @ ( inj__ty_2Enum_2Enum @ X0 ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(tp_c_2Enumeral__bit_2EiLOG2,type,
% 5.44/5.75 c_2Enumeral__bit_2EiLOG2: $i ).
% 5.44/5.75
% 5.44/5.75 thf(mem_c_2Enumeral__bit_2EiLOG2,axiom,
% 5.44/5.75 mem @ c_2Enumeral__bit_2EiLOG2 @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ).
% 5.44/5.75
% 5.44/5.75 thf(stp_fo_c_2Enumeral__bit_2EiLOG2,type,
% 5.44/5.75 fo__c_2Enumeral__bit_2EiLOG2: tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum ).
% 5.44/5.75
% 5.44/5.75 thf(stp_eq_fo_c_2Enumeral__bit_2EiLOG2,axiom,
% 5.44/5.75 ! [X0: tp__ty_2Enum_2Enum] :
% 5.44/5.75 ( ( inj__ty_2Enum_2Enum @ ( fo__c_2Enumeral__bit_2EiLOG2 @ X0 ) )
% 5.44/5.75 = ( ap @ c_2Enumeral__bit_2EiLOG2 @ ( inj__ty_2Enum_2Enum @ X0 ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(tp_c_2Enumeral__bit_2EiMOD__2EXP,type,
% 5.44/5.75 c_2Enumeral__bit_2EiMOD__2EXP: $i ).
% 5.44/5.75
% 5.44/5.75 thf(mem_c_2Enumeral__bit_2EiMOD__2EXP,axiom,
% 5.44/5.75 mem @ c_2Enumeral__bit_2EiMOD__2EXP @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(stp_fo_c_2Enumeral__bit_2EiMOD__2EXP,type,
% 5.44/5.75 fo__c_2Enumeral__bit_2EiMOD__2EXP: tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum ).
% 5.44/5.75
% 5.44/5.75 thf(stp_eq_fo_c_2Enumeral__bit_2EiMOD__2EXP,axiom,
% 5.44/5.75 ! [X0: tp__ty_2Enum_2Enum,X1: tp__ty_2Enum_2Enum] :
% 5.44/5.75 ( ( inj__ty_2Enum_2Enum @ ( fo__c_2Enumeral__bit_2EiMOD__2EXP @ X0 @ X1 ) )
% 5.44/5.75 = ( ap @ ( ap @ c_2Enumeral__bit_2EiMOD__2EXP @ ( inj__ty_2Enum_2Enum @ X0 ) ) @ ( inj__ty_2Enum_2Enum @ X1 ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(tp_c_2Enumeral__bit_2EiSUC,type,
% 5.44/5.75 c_2Enumeral__bit_2EiSUC: $i ).
% 5.44/5.75
% 5.44/5.75 thf(mem_c_2Enumeral__bit_2EiSUC,axiom,
% 5.44/5.75 mem @ c_2Enumeral__bit_2EiSUC @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ).
% 5.44/5.75
% 5.44/5.75 thf(stp_fo_c_2Enumeral__bit_2EiSUC,type,
% 5.44/5.75 fo__c_2Enumeral__bit_2EiSUC: tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum ).
% 5.44/5.75
% 5.44/5.75 thf(stp_eq_fo_c_2Enumeral__bit_2EiSUC,axiom,
% 5.44/5.75 ! [X0: tp__ty_2Enum_2Enum] :
% 5.44/5.75 ( ( inj__ty_2Enum_2Enum @ ( fo__c_2Enumeral__bit_2EiSUC @ X0 ) )
% 5.44/5.75 = ( ap @ c_2Enumeral__bit_2EiSUC @ ( inj__ty_2Enum_2Enum @ X0 ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(ax_thm_2Enumeral__bit_2EiMOD__2EXP,axiom,
% 5.44/5.75 c_2Enumeral__bit_2EiMOD__2EXP = c_2Ebit_2EMOD__2EXP ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Enumeral__bit_2Enumeral__imod__2exp,axiom,
% 5.44/5.75 ! [A_27a: del] :
% 5.44/5.75 ( ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.75 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Enumeral__bit_2EiMOD__2EXP @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.75 = fo__c_2Earithmetic_2EZERO )
% 5.44/5.75 & ! [V1x: tp__ty_2Enum_2Enum,V2n: $i] :
% 5.44/5.75 ( ( mem @ V2n @ A_27a )
% 5.44/5.75 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Enumeral__bit_2EiMOD__2EXP @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) )
% 5.44/5.75 = fo__c_2Earithmetic_2EZERO ) )
% 5.44/5.75 & ! [V3x: tp__ty_2Enum_2Enum,V4n: tp__ty_2Enum_2Enum] :
% 5.44/5.75 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Enumeral__bit_2EiMOD__2EXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V3x ) ) ) ) @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V4n ) ) ) )
% 5.44/5.75 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ ( ap @ c_2Enumeral__bit_2EiMOD__2EXP @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V3x ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V4n ) ) ) ) )
% 5.44/5.75 & ! [V5x: tp__ty_2Enum_2Enum,V6n: tp__ty_2Enum_2Enum] :
% 5.44/5.75 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Enumeral__bit_2EiMOD__2EXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V5x ) ) ) ) @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V6n ) ) ) )
% 5.44/5.75 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ ( ap @ c_2Enumeral__bit_2EiMOD__2EXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V5x ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V6n ) ) ) ) )
% 5.44/5.75 & ! [V7x: tp__ty_2Enum_2Enum,V8n: tp__ty_2Enum_2Enum] :
% 5.44/5.75 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Enumeral__bit_2EiMOD__2EXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V7x ) ) ) ) @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V8n ) ) ) )
% 5.44/5.75 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enumeral_2EiDUB @ ( ap @ ( ap @ c_2Enumeral__bit_2EiMOD__2EXP @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V7x ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V8n ) ) ) ) ) )
% 5.44/5.75 & ! [V9x: tp__ty_2Enum_2Enum,V10n: tp__ty_2Enum_2Enum] :
% 5.44/5.75 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Enumeral__bit_2EiMOD__2EXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V9x ) ) ) ) @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V10n ) ) ) )
% 5.44/5.75 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enumeral_2EiDUB @ ( ap @ ( ap @ c_2Enumeral__bit_2EiMOD__2EXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V9x ) ) ) ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V10n ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Enumeral__bit_2EMOD__2EXP,axiom,
% 5.44/5.75 ( ! [V0x: tp__ty_2Enum_2Enum] :
% 5.44/5.75 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Ebit_2EMOD__2EXP @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.44/5.75 = fo__c_2Enum_2E0 )
% 5.44/5.75 & ! [V1x: tp__ty_2Enum_2Enum,V2n: tp__ty_2Enum_2Enum] :
% 5.44/5.75 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Ebit_2EMOD__2EXP @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) )
% 5.44/5.75 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ ( ap @ c_2Enumeral__bit_2EiMOD__2EXP @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Enumeral__bit_2EDIV__2EXP,axiom,
% 5.44/5.75 ! [V0n: tp__ty_2Enum_2Enum,V1x: tp__ty_2Enum_2Enum] :
% 5.44/5.75 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Ebit_2EDIV__2EXP @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.44/5.75 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ ( c_2Earithmetic_2EFUNPOW @ ty_2Enum_2Enum ) @ c_2Earithmetic_2EDIV2 ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Enumeral__bit_2Enumeral__mod2,axiom,
% 5.44/5.75 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.44/5.75 = fo__c_2Enum_2E0 )
% 5.44/5.75 & ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.75 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.44/5.75 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.44/5.75 & ! [V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.75 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.44/5.75 = fo__c_2Enum_2E0 ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Enumeral__bit_2EiDUB__NUMERAL,axiom,
% 5.44/5.75 ! [V0i: tp__ty_2Enum_2Enum] :
% 5.44/5.75 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enumeral_2EiDUB @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V0i ) ) ) )
% 5.44/5.75 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Enumeral_2EiDUB @ ( inj__ty_2Enum_2Enum @ V0i ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(ax_thm_2Enumeral__bit_2EBIT__REV__def,axiom,
% 5.44/5.75 ( ! [V0x: tp__ty_2Enum_2Enum,V1y: tp__ty_2Enum_2Enum] :
% 5.44/5.75 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Enumeral__bit_2EBIT__REV @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( inj__ty_2Enum_2Enum @ V1y ) ) )
% 5.44/5.75 = V1y )
% 5.44/5.75 & ! [V2n: tp__ty_2Enum_2Enum,V3x: tp__ty_2Enum_2Enum,V4y: tp__ty_2Enum_2Enum] :
% 5.44/5.75 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Enumeral__bit_2EBIT__REV @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) @ ( inj__ty_2Enum_2Enum @ V3x ) ) @ ( inj__ty_2Enum_2Enum @ V4y ) ) )
% 5.44/5.75 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Enumeral__bit_2EBIT__REV @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( inj__ty_2Enum_2Enum @ V3x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V4y ) ) ) @ ( ap @ ( ap @ c_2Ebit_2ESBIT @ ( ap @ c_2Earithmetic_2EODD @ ( inj__ty_2Enum_2Enum @ V3x ) ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Enumeral__bit_2EBIT__REVERSE__EVAL,axiom,
% 5.44/5.75 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.75 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Ebit_2EBIT__REVERSE @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.44/5.75 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Enumeral__bit_2EBIT__REV @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(ax_thm_2Enumeral__bit_2EBIT__MODF__def,axiom,
% 5.44/5.75 ( ! [V0f: $i] :
% 5.44/5.75 ( ( mem @ V0f @ ( arr @ ty_2Enum_2Enum @ ( arr @ bool @ bool ) ) )
% 5.44/5.75 => ! [V1x: tp__ty_2Enum_2Enum,V2b: tp__ty_2Enum_2Enum,V3e: tp__ty_2Enum_2Enum,V4y: tp__ty_2Enum_2Enum] :
% 5.44/5.75 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ c_2Enumeral__bit_2EBIT__MODF @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ V0f ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( inj__ty_2Enum_2Enum @ V2b ) ) @ ( inj__ty_2Enum_2Enum @ V3e ) ) @ ( inj__ty_2Enum_2Enum @ V4y ) ) )
% 5.44/5.75 = V4y ) )
% 5.44/5.75 & ! [V5n: tp__ty_2Enum_2Enum,V6f: $i] :
% 5.44/5.75 ( ( mem @ V6f @ ( arr @ ty_2Enum_2Enum @ ( arr @ bool @ bool ) ) )
% 5.44/5.75 => ! [V7x: tp__ty_2Enum_2Enum,V8b: tp__ty_2Enum_2Enum,V9e: tp__ty_2Enum_2Enum,V10y: tp__ty_2Enum_2Enum] :
% 5.44/5.75 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ c_2Enumeral__bit_2EBIT__MODF @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V5n ) ) ) @ V6f ) @ ( inj__ty_2Enum_2Enum @ V7x ) ) @ ( inj__ty_2Enum_2Enum @ V8b ) ) @ ( inj__ty_2Enum_2Enum @ V9e ) ) @ ( inj__ty_2Enum_2Enum @ V10y ) ) )
% 5.44/5.75 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ c_2Enumeral__bit_2EBIT__MODF @ ( inj__ty_2Enum_2Enum @ V5n ) ) @ V6f ) @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( inj__ty_2Enum_2Enum @ V7x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V8b ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V9e ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ V6f @ ( inj__ty_2Enum_2Enum @ V8b ) ) @ ( ap @ c_2Earithmetic_2EODD @ ( inj__ty_2Enum_2Enum @ V7x ) ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V9e ) ) @ ( inj__ty_2Enum_2Enum @ V10y ) ) ) @ ( inj__ty_2Enum_2Enum @ V10y ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Enumeral__bit_2EBIT__MODIFY__EVAL,axiom,
% 5.44/5.75 ! [V0m: tp__ty_2Enum_2Enum,V1f: $i] :
% 5.44/5.75 ( ( mem @ V1f @ ( arr @ ty_2Enum_2Enum @ ( arr @ bool @ bool ) ) )
% 5.44/5.75 => ! [V2n: tp__ty_2Enum_2Enum] :
% 5.44/5.75 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBIT__MODIFY @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ V1f ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) )
% 5.44/5.75 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ c_2Enumeral__bit_2EBIT__MODF @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ V1f ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(ax_thm_2Enumeral__bit_2EiBITWISE__def,axiom,
% 5.44/5.75 c_2Enumeral__bit_2EiBITWISE = c_2Ebit_2EBITWISE ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Enumeral__bit_2EiBITWISE,axiom,
% 5.44/5.75 ( ! [V0opr: $i] :
% 5.44/5.75 ( ( mem @ V0opr @ ( arr @ bool @ ( arr @ bool @ bool ) ) )
% 5.44/5.75 => ! [V1a: tp__ty_2Enum_2Enum,V2b: tp__ty_2Enum_2Enum] :
% 5.44/5.75 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ ( ap @ c_2Enumeral__bit_2EiBITWISE @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ V0opr ) @ ( inj__ty_2Enum_2Enum @ V1a ) ) @ ( inj__ty_2Enum_2Enum @ V2b ) ) )
% 5.44/5.75 = fo__c_2Earithmetic_2EZERO ) )
% 5.44/5.75 & ! [V3x: tp__ty_2Enum_2Enum,V4opr: $i] :
% 5.44/5.75 ( ( mem @ V4opr @ ( arr @ bool @ ( arr @ bool @ bool ) ) )
% 5.44/5.75 => ! [V5a: tp__ty_2Enum_2Enum,V6b: tp__ty_2Enum_2Enum] :
% 5.44/5.75 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ ( ap @ c_2Enumeral__bit_2EiBITWISE @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V3x ) ) ) ) @ V4opr ) @ ( inj__ty_2Enum_2Enum @ V5a ) ) @ ( inj__ty_2Enum_2Enum @ V6b ) ) )
% 5.44/5.75 = ( surj__ty_2Enum_2Enum
% 5.44/5.75 @ ( ap
% 5.44/5.75 @ ( ap @ ( c_2Ebool_2ELET @ ty_2Enum_2Enum @ ty_2Enum_2Enum )
% 5.44/5.75 @ ( lam @ ty_2Enum_2Enum
% 5.44/5.75 @ ^ [V7w: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ V4opr @ ( ap @ c_2Earithmetic_2EODD @ ( inj__ty_2Enum_2Enum @ V5a ) ) ) @ ( ap @ c_2Earithmetic_2EODD @ ( inj__ty_2Enum_2Enum @ V6b ) ) ) ) @ ( ap @ c_2Earithmetic_2EBIT1 @ V7w ) ) @ ( ap @ c_2Enumeral_2EiDUB @ V7w ) ) ) )
% 5.44/5.75 @ ( ap @ ( ap @ ( ap @ ( ap @ c_2Enumeral__bit_2EiBITWISE @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V3x ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ V4opr ) @ ( ap @ c_2Earithmetic_2EDIV2 @ ( inj__ty_2Enum_2Enum @ V5a ) ) ) @ ( ap @ c_2Earithmetic_2EDIV2 @ ( inj__ty_2Enum_2Enum @ V6b ) ) ) ) ) ) )
% 5.44/5.75 & ! [V8x: tp__ty_2Enum_2Enum,V9opr: $i] :
% 5.44/5.75 ( ( mem @ V9opr @ ( arr @ bool @ ( arr @ bool @ bool ) ) )
% 5.44/5.75 => ! [V10a: tp__ty_2Enum_2Enum,V11b: tp__ty_2Enum_2Enum] :
% 5.44/5.75 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ ( ap @ c_2Enumeral__bit_2EiBITWISE @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V8x ) ) ) ) @ V9opr ) @ ( inj__ty_2Enum_2Enum @ V10a ) ) @ ( inj__ty_2Enum_2Enum @ V11b ) ) )
% 5.44/5.75 = ( surj__ty_2Enum_2Enum
% 5.44/5.75 @ ( ap
% 5.44/5.75 @ ( ap @ ( c_2Ebool_2ELET @ ty_2Enum_2Enum @ ty_2Enum_2Enum )
% 5.44/5.75 @ ( lam @ ty_2Enum_2Enum
% 5.44/5.75 @ ^ [V12w: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ V9opr @ ( ap @ c_2Earithmetic_2EODD @ ( inj__ty_2Enum_2Enum @ V10a ) ) ) @ ( ap @ c_2Earithmetic_2EODD @ ( inj__ty_2Enum_2Enum @ V11b ) ) ) ) @ ( ap @ c_2Earithmetic_2EBIT1 @ V12w ) ) @ ( ap @ c_2Enumeral_2EiDUB @ V12w ) ) ) )
% 5.44/5.75 @ ( ap @ ( ap @ ( ap @ ( ap @ c_2Enumeral__bit_2EiBITWISE @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V8x ) ) ) ) @ V9opr ) @ ( ap @ c_2Earithmetic_2EDIV2 @ ( inj__ty_2Enum_2Enum @ V10a ) ) ) @ ( ap @ c_2Earithmetic_2EDIV2 @ ( inj__ty_2Enum_2Enum @ V11b ) ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Enumeral__bit_2ENUMERAL__BITWISE,axiom,
% 5.44/5.75 ! [A_27a: del] :
% 5.44/5.75 ( ! [V0x: tp__ty_2Enum_2Enum,V1f: $i] :
% 5.44/5.75 ( ( mem @ V1f @ ( arr @ bool @ ( arr @ bool @ bool ) ) )
% 5.44/5.75 => ! [V2a: $i] :
% 5.44/5.75 ( ( mem @ V2a @ A_27a )
% 5.44/5.75 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBITWISE @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ V1f ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.44/5.75 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ ( ap @ ( ap @ ( ap @ c_2Enumeral__bit_2EiBITWISE @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ V1f ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ) ) ) )
% 5.44/5.75 & ! [V3x: tp__ty_2Enum_2Enum,V4f: $i] :
% 5.44/5.75 ( ( mem @ V4f @ ( arr @ bool @ ( arr @ bool @ bool ) ) )
% 5.44/5.75 => ! [V5a: tp__ty_2Enum_2Enum] :
% 5.44/5.75 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBITWISE @ ( inj__ty_2Enum_2Enum @ V3x ) ) @ V4f ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V5a ) ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.44/5.75 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ ( ap @ ( ap @ ( ap @ c_2Enumeral__bit_2EiBITWISE @ ( inj__ty_2Enum_2Enum @ V3x ) ) @ V4f ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V5a ) ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ) ) )
% 5.44/5.75 & ! [V6x: tp__ty_2Enum_2Enum,V7f: $i] :
% 5.44/5.75 ( ( mem @ V7f @ ( arr @ bool @ ( arr @ bool @ bool ) ) )
% 5.44/5.75 => ! [V8b: tp__ty_2Enum_2Enum] :
% 5.44/5.75 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBITWISE @ ( inj__ty_2Enum_2Enum @ V6x ) ) @ V7f ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V8b ) ) ) )
% 5.44/5.75 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ ( ap @ ( ap @ ( ap @ c_2Enumeral__bit_2EiBITWISE @ ( inj__ty_2Enum_2Enum @ V6x ) ) @ V7f ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V8b ) ) ) ) ) ) )
% 5.44/5.75 & ! [V9x: tp__ty_2Enum_2Enum,V10f: $i] :
% 5.44/5.75 ( ( mem @ V10f @ ( arr @ bool @ ( arr @ bool @ bool ) ) )
% 5.44/5.75 => ! [V11a: tp__ty_2Enum_2Enum,V12b: tp__ty_2Enum_2Enum] :
% 5.44/5.75 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBITWISE @ ( inj__ty_2Enum_2Enum @ V9x ) ) @ V10f ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V11a ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V12b ) ) ) )
% 5.44/5.75 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ ( ap @ ( ap @ ( ap @ c_2Enumeral__bit_2EiBITWISE @ ( inj__ty_2Enum_2Enum @ V9x ) ) @ V10f ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V11a ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V12b ) ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Enumeral__bit_2ENUMERAL__BIT__REV,axiom,
% 5.44/5.75 ( ! [V0x: tp__ty_2Enum_2Enum,V1y: tp__ty_2Enum_2Enum] :
% 5.44/5.75 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Enumeral__bit_2EBIT__REV @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( inj__ty_2Enum_2Enum @ V1y ) ) )
% 5.44/5.75 = V1y )
% 5.44/5.75 & ! [V2n: tp__ty_2Enum_2Enum,V3y: tp__ty_2Enum_2Enum] :
% 5.44/5.75 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Enumeral__bit_2EBIT__REV @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V3y ) ) )
% 5.44/5.75 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Enumeral__bit_2EBIT__REV @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ c_2Enumeral_2EiDUB @ ( inj__ty_2Enum_2Enum @ V3y ) ) ) ) )
% 5.44/5.75 & ! [V4n: tp__ty_2Enum_2Enum,V5y: tp__ty_2Enum_2Enum] :
% 5.44/5.75 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Enumeral__bit_2EBIT__REV @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V4n ) ) ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V5y ) ) )
% 5.44/5.75 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Enumeral__bit_2EBIT__REV @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V4n ) ) ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ c_2Enumeral_2EiDUB @ ( inj__ty_2Enum_2Enum @ V5y ) ) ) ) )
% 5.44/5.75 & ! [V6n: tp__ty_2Enum_2Enum,V7x: tp__ty_2Enum_2Enum,V8y: tp__ty_2Enum_2Enum] :
% 5.44/5.75 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Enumeral__bit_2EBIT__REV @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V6n ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V7x ) ) ) @ ( inj__ty_2Enum_2Enum @ V8y ) ) )
% 5.44/5.75 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Enumeral__bit_2EBIT__REV @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V6n ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ c_2Earithmetic_2EDIV2 @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V7x ) ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ c_2Earithmetic_2EODD @ ( inj__ty_2Enum_2Enum @ V7x ) ) ) @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V8y ) ) ) @ ( ap @ c_2Enumeral_2EiDUB @ ( inj__ty_2Enum_2Enum @ V8y ) ) ) ) ) )
% 5.44/5.75 & ! [V9n: tp__ty_2Enum_2Enum,V10x: tp__ty_2Enum_2Enum,V11y: tp__ty_2Enum_2Enum] :
% 5.44/5.75 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Enumeral__bit_2EBIT__REV @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V9n ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V10x ) ) ) @ ( inj__ty_2Enum_2Enum @ V11y ) ) )
% 5.44/5.75 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Enumeral__bit_2EBIT__REV @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V9n ) ) ) ) @ ( ap @ c_2Earithmetic_2EDIV2 @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V10x ) ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ c_2Earithmetic_2EODD @ ( inj__ty_2Enum_2Enum @ V10x ) ) ) @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V11y ) ) ) @ ( ap @ c_2Enumeral_2EiDUB @ ( inj__ty_2Enum_2Enum @ V11y ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Enumeral__bit_2ENUMERAL__BIT__REVERSE,axiom,
% 5.44/5.75 ( ! [V0m: tp__ty_2Enum_2Enum] :
% 5.44/5.75 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Ebit_2EBIT__REVERSE @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.44/5.75 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ ( ap @ ( ap @ c_2Enumeral__bit_2EBIT__REV @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.44/5.75 & ! [V1n: tp__ty_2Enum_2Enum,V2m: tp__ty_2Enum_2Enum] :
% 5.44/5.75 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Ebit_2EBIT__REVERSE @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V2m ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.44/5.75 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ ( ap @ ( ap @ c_2Enumeral__bit_2EBIT__REV @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V2m ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Enumeral__bit_2ENUMERAL__BIT__MODF,axiom,
% 5.44/5.75 ( ! [V0f: $i] :
% 5.44/5.75 ( ( mem @ V0f @ ( arr @ ty_2Enum_2Enum @ ( arr @ bool @ bool ) ) )
% 5.44/5.75 => ! [V1x: tp__ty_2Enum_2Enum,V2b: tp__ty_2Enum_2Enum,V3e: tp__ty_2Enum_2Enum,V4y: tp__ty_2Enum_2Enum] :
% 5.44/5.75 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ c_2Enumeral__bit_2EBIT__MODF @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ V0f ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( inj__ty_2Enum_2Enum @ V2b ) ) @ ( inj__ty_2Enum_2Enum @ V3e ) ) @ ( inj__ty_2Enum_2Enum @ V4y ) ) )
% 5.44/5.75 = V4y ) )
% 5.44/5.75 & ! [V5n: tp__ty_2Enum_2Enum,V6f: $i] :
% 5.44/5.75 ( ( mem @ V6f @ ( arr @ ty_2Enum_2Enum @ ( arr @ bool @ bool ) ) )
% 5.44/5.75 => ! [V7b: tp__ty_2Enum_2Enum,V8e: tp__ty_2Enum_2Enum,V9y: tp__ty_2Enum_2Enum] :
% 5.44/5.75 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ c_2Enumeral__bit_2EBIT__MODF @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V5n ) ) ) ) @ V6f ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V7b ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V8e ) ) ) @ ( inj__ty_2Enum_2Enum @ V9y ) ) )
% 5.44/5.75 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ c_2Enumeral__bit_2EBIT__MODF @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V5n ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ V6f ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V7b ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Enumeral_2EiDUB @ ( inj__ty_2Enum_2Enum @ V8e ) ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ V6f @ ( inj__ty_2Enum_2Enum @ V7b ) ) @ c_2Ebool_2EF ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V8e ) ) ) @ ( inj__ty_2Enum_2Enum @ V9y ) ) ) @ ( inj__ty_2Enum_2Enum @ V9y ) ) ) ) ) )
% 5.44/5.75 & ! [V10n: tp__ty_2Enum_2Enum,V11f: $i] :
% 5.44/5.75 ( ( mem @ V11f @ ( arr @ ty_2Enum_2Enum @ ( arr @ bool @ bool ) ) )
% 5.44/5.75 => ! [V12b: tp__ty_2Enum_2Enum,V13e: tp__ty_2Enum_2Enum,V14y: tp__ty_2Enum_2Enum] :
% 5.44/5.75 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ c_2Enumeral__bit_2EBIT__MODF @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V10n ) ) ) ) @ V11f ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V12b ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V13e ) ) ) @ ( inj__ty_2Enum_2Enum @ V14y ) ) )
% 5.44/5.75 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ c_2Enumeral__bit_2EBIT__MODF @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V10n ) ) ) ) @ V11f ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V12b ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Enumeral_2EiDUB @ ( inj__ty_2Enum_2Enum @ V13e ) ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ V11f @ ( inj__ty_2Enum_2Enum @ V12b ) ) @ c_2Ebool_2EF ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V13e ) ) ) @ ( inj__ty_2Enum_2Enum @ V14y ) ) ) @ ( inj__ty_2Enum_2Enum @ V14y ) ) ) ) ) )
% 5.44/5.75 & ! [V15n: tp__ty_2Enum_2Enum,V16f: $i] :
% 5.44/5.75 ( ( mem @ V16f @ ( arr @ ty_2Enum_2Enum @ ( arr @ bool @ bool ) ) )
% 5.44/5.75 => ! [V17x: tp__ty_2Enum_2Enum,V18b: tp__ty_2Enum_2Enum,V19e: tp__ty_2Enum_2Enum,V20y: tp__ty_2Enum_2Enum] :
% 5.44/5.75 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ c_2Enumeral__bit_2EBIT__MODF @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V15n ) ) ) ) @ V16f ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V17x ) ) ) @ ( inj__ty_2Enum_2Enum @ V18b ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V19e ) ) ) @ ( inj__ty_2Enum_2Enum @ V20y ) ) )
% 5.44/5.75 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ c_2Enumeral__bit_2EBIT__MODF @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V15n ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ V16f ) @ ( ap @ c_2Earithmetic_2EDIV2 @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V17x ) ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V18b ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Enumeral_2EiDUB @ ( inj__ty_2Enum_2Enum @ V19e ) ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ V16f @ ( inj__ty_2Enum_2Enum @ V18b ) ) @ ( ap @ c_2Earithmetic_2EODD @ ( inj__ty_2Enum_2Enum @ V17x ) ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V19e ) ) ) @ ( inj__ty_2Enum_2Enum @ V20y ) ) ) @ ( inj__ty_2Enum_2Enum @ V20y ) ) ) ) ) )
% 5.44/5.75 & ! [V21n: tp__ty_2Enum_2Enum,V22f: $i] :
% 5.44/5.75 ( ( mem @ V22f @ ( arr @ ty_2Enum_2Enum @ ( arr @ bool @ bool ) ) )
% 5.44/5.75 => ! [V23x: tp__ty_2Enum_2Enum,V24b: tp__ty_2Enum_2Enum,V25e: tp__ty_2Enum_2Enum,V26y: tp__ty_2Enum_2Enum] :
% 5.44/5.75 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ c_2Enumeral__bit_2EBIT__MODF @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V21n ) ) ) ) @ V22f ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V23x ) ) ) @ ( inj__ty_2Enum_2Enum @ V24b ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V25e ) ) ) @ ( inj__ty_2Enum_2Enum @ V26y ) ) )
% 5.44/5.75 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ c_2Enumeral__bit_2EBIT__MODF @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V21n ) ) ) ) @ V22f ) @ ( ap @ c_2Earithmetic_2EDIV2 @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V23x ) ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V24b ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Enumeral_2EiDUB @ ( inj__ty_2Enum_2Enum @ V25e ) ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ V22f @ ( inj__ty_2Enum_2Enum @ V24b ) ) @ ( ap @ c_2Earithmetic_2EODD @ ( inj__ty_2Enum_2Enum @ V23x ) ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V25e ) ) ) @ ( inj__ty_2Enum_2Enum @ V26y ) ) ) @ ( inj__ty_2Enum_2Enum @ V26y ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Enumeral__bit_2ENUMERAL__BIT__MODIFY,axiom,
% 5.44/5.75 ( ! [V0m: tp__ty_2Enum_2Enum,V1f: $i] :
% 5.44/5.75 ( ( mem @ V1f @ ( arr @ ty_2Enum_2Enum @ ( arr @ bool @ bool ) ) )
% 5.44/5.75 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBIT__MODIFY @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) @ V1f ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.44/5.75 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ c_2Enumeral__bit_2EBIT__MODF @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) @ V1f ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ) )
% 5.44/5.75 & ! [V2m: tp__ty_2Enum_2Enum,V3f: $i] :
% 5.44/5.75 ( ( mem @ V3f @ ( arr @ ty_2Enum_2Enum @ ( arr @ bool @ bool ) ) )
% 5.44/5.75 => ! [V4n: tp__ty_2Enum_2Enum] :
% 5.44/5.75 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EBIT__MODIFY @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V2m ) ) ) @ V3f ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V4n ) ) ) )
% 5.44/5.75 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ c_2Enumeral__bit_2EBIT__MODF @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V2m ) ) ) @ V3f ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V4n ) ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(ax_thm_2Enumeral__bit_2EiSUC,axiom,
% 5.44/5.75 c_2Enumeral__bit_2EiSUC = c_2Enum_2ESUC ).
% 5.44/5.75
% 5.44/5.75 thf(ax_thm_2Enumeral__bit_2EiDIV2,axiom,
% 5.44/5.75 c_2Enumeral__bit_2EiDIV2 = c_2Earithmetic_2EDIV2 ).
% 5.44/5.75
% 5.44/5.75 thf(ax_thm_2Enumeral__bit_2ESFUNPOW__def,axiom,
% 5.44/5.75 ( ! [V0f: $i] :
% 5.44/5.75 ( ( mem @ V0f @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.44/5.75 => ! [V1x: tp__ty_2Enum_2Enum] :
% 5.44/5.75 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Enumeral__bit_2ESFUNPOW @ V0f ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.44/5.75 = V1x ) )
% 5.44/5.75 & ! [V2f: $i] :
% 5.44/5.75 ( ( mem @ V2f @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.44/5.75 => ! [V3n: tp__ty_2Enum_2Enum,V4x: tp__ty_2Enum_2Enum] :
% 5.44/5.75 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Enumeral__bit_2ESFUNPOW @ V2f ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) @ ( inj__ty_2Enum_2Enum @ V4x ) ) )
% 5.44/5.75 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V4x ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ ( ap @ ( ap @ c_2Enumeral__bit_2ESFUNPOW @ V2f ) @ ( inj__ty_2Enum_2Enum @ V3n ) ) @ ( ap @ V2f @ ( inj__ty_2Enum_2Enum @ V4x ) ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(ax_thm_2Enumeral__bit_2EFDUB__def,axiom,
% 5.44/5.75 ( ! [V0f: $i] :
% 5.44/5.75 ( ( mem @ V0f @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.44/5.75 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Enumeral__bit_2EFDUB @ V0f ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.44/5.75 = fo__c_2Enum_2E0 ) )
% 5.44/5.75 & ! [V1f: $i] :
% 5.44/5.75 ( ( mem @ V1f @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.44/5.75 => ! [V2n: tp__ty_2Enum_2Enum] :
% 5.44/5.75 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Enumeral__bit_2EFDUB @ V1f ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) )
% 5.44/5.75 = ( surj__ty_2Enum_2Enum @ ( ap @ V1f @ ( ap @ V1f @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Enumeral__bit_2ENUMERAL__TIMES__2EXP,axiom,
% 5.44/5.75 ( ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.75 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Ebit_2ETIMES__2EXP @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.44/5.75 = fo__c_2Enum_2E0 )
% 5.44/5.75 & ! [V1n: tp__ty_2Enum_2Enum,V2x: tp__ty_2Enum_2Enum] :
% 5.44/5.75 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Ebit_2ETIMES__2EXP @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V2x ) ) ) )
% 5.44/5.75 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ ( ap @ ( ap @ c_2Enumeral__bit_2ESFUNPOW @ c_2Enumeral_2EiDUB ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V2x ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Enumeral__bit_2ENUMERAL__iDIV2,axiom,
% 5.44/5.75 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.75 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enumeral__bit_2EiDIV2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) )
% 5.44/5.75 = fo__c_2Earithmetic_2EZERO )
% 5.44/5.75 & ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enumeral__bit_2EiDIV2 @ ( ap @ c_2Enumeral__bit_2EiSUC @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) )
% 5.44/5.75 = fo__c_2Earithmetic_2EZERO )
% 5.44/5.75 & ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enumeral__bit_2EiDIV2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) )
% 5.44/5.75 = V0n )
% 5.44/5.75 & ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enumeral__bit_2EiDIV2 @ ( ap @ c_2Enumeral__bit_2EiSUC @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) )
% 5.44/5.75 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enumeral__bit_2EiSUC @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) )
% 5.44/5.75 & ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enumeral__bit_2EiDIV2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) )
% 5.44/5.75 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enumeral__bit_2EiSUC @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) )
% 5.44/5.75 & ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enumeral__bit_2EiDIV2 @ ( ap @ c_2Enumeral__bit_2EiSUC @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) )
% 5.44/5.75 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enumeral__bit_2EiSUC @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) )
% 5.44/5.75 & ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Enumeral__bit_2EiSUC @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) )
% 5.44/5.75 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Enumeral__bit_2ENUMERAL__DIV__2EXP,axiom,
% 5.44/5.75 ( ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.75 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Ebit_2EDIV__2EXP @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.44/5.75 = fo__c_2Enum_2E0 )
% 5.44/5.75 & ! [V1n: tp__ty_2Enum_2Enum,V2x: tp__ty_2Enum_2Enum] :
% 5.44/5.75 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Ebit_2EDIV__2EXP @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V2x ) ) ) )
% 5.44/5.75 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ ( ap @ ( ap @ c_2Enumeral__bit_2ESFUNPOW @ c_2Enumeral__bit_2EiDIV2 ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V2x ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Enumeral__bit_2ENUMERAL__SFUNPOW__iDIV2,axiom,
% 5.44/5.75 ( ! [V0x: tp__ty_2Enum_2Enum] :
% 5.44/5.75 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Enumeral__bit_2ESFUNPOW @ c_2Enumeral__bit_2EiDIV2 ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0x ) ) )
% 5.44/5.75 = V0x )
% 5.44/5.75 & ! [V1y: tp__ty_2Enum_2Enum] :
% 5.44/5.75 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Enumeral__bit_2ESFUNPOW @ c_2Enumeral__bit_2EiDIV2 ) @ ( inj__ty_2Enum_2Enum @ V1y ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.44/5.75 = fo__c_2Enum_2E0 )
% 5.44/5.75 & ! [V2n: tp__ty_2Enum_2Enum,V3x: tp__ty_2Enum_2Enum] :
% 5.44/5.75 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Enumeral__bit_2ESFUNPOW @ c_2Enumeral__bit_2EiDIV2 ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V3x ) ) )
% 5.44/5.75 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Enumeral__bit_2ESFUNPOW @ ( ap @ c_2Enumeral__bit_2EFDUB @ c_2Enumeral__bit_2EiDIV2 ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) @ ( ap @ c_2Enumeral__bit_2EiDIV2 @ ( inj__ty_2Enum_2Enum @ V3x ) ) ) ) )
% 5.44/5.75 & ! [V4n: tp__ty_2Enum_2Enum,V5x: tp__ty_2Enum_2Enum] :
% 5.44/5.75 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Enumeral__bit_2ESFUNPOW @ c_2Enumeral__bit_2EiDIV2 ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V4n ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V5x ) ) )
% 5.44/5.75 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Enumeral__bit_2ESFUNPOW @ ( ap @ c_2Enumeral__bit_2EFDUB @ c_2Enumeral__bit_2EiDIV2 ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V4n ) ) ) @ ( ap @ c_2Enumeral__bit_2EiDIV2 @ ( ap @ c_2Enumeral__bit_2EiDIV2 @ ( inj__ty_2Enum_2Enum @ V5x ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Enumeral__bit_2ENUMERAL__SFUNPOW__iDUB,axiom,
% 5.44/5.75 ( ! [V0x: tp__ty_2Enum_2Enum] :
% 5.44/5.75 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Enumeral__bit_2ESFUNPOW @ c_2Enumeral_2EiDUB ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0x ) ) )
% 5.44/5.75 = V0x )
% 5.44/5.75 & ! [V1y: tp__ty_2Enum_2Enum] :
% 5.44/5.75 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Enumeral__bit_2ESFUNPOW @ c_2Enumeral_2EiDUB ) @ ( inj__ty_2Enum_2Enum @ V1y ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.44/5.75 = fo__c_2Enum_2E0 )
% 5.44/5.75 & ! [V2n: tp__ty_2Enum_2Enum,V3x: tp__ty_2Enum_2Enum] :
% 5.44/5.75 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Enumeral__bit_2ESFUNPOW @ c_2Enumeral_2EiDUB ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V3x ) ) )
% 5.44/5.75 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Enumeral__bit_2ESFUNPOW @ ( ap @ c_2Enumeral__bit_2EFDUB @ c_2Enumeral_2EiDUB ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) @ ( ap @ c_2Enumeral_2EiDUB @ ( inj__ty_2Enum_2Enum @ V3x ) ) ) ) )
% 5.44/5.75 & ! [V4n: tp__ty_2Enum_2Enum,V5x: tp__ty_2Enum_2Enum] :
% 5.44/5.75 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Enumeral__bit_2ESFUNPOW @ c_2Enumeral_2EiDUB ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V4n ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V5x ) ) )
% 5.44/5.75 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Enumeral__bit_2ESFUNPOW @ ( ap @ c_2Enumeral__bit_2EFDUB @ c_2Enumeral_2EiDUB ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V4n ) ) ) @ ( ap @ c_2Enumeral_2EiDUB @ ( ap @ c_2Enumeral_2EiDUB @ ( inj__ty_2Enum_2Enum @ V5x ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Enumeral__bit_2ENUMERAL__SFUNPOW__FDUB,axiom,
% 5.44/5.75 ! [V0f: $i] :
% 5.44/5.75 ( ( mem @ V0f @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.44/5.75 => ( ! [V1x: tp__ty_2Enum_2Enum] :
% 5.44/5.75 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Enumeral__bit_2ESFUNPOW @ ( ap @ c_2Enumeral__bit_2EFDUB @ V0f ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.44/5.75 = V1x )
% 5.44/5.75 & ! [V2y: tp__ty_2Enum_2Enum] :
% 5.44/5.75 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Enumeral__bit_2ESFUNPOW @ ( ap @ c_2Enumeral__bit_2EFDUB @ V0f ) ) @ ( inj__ty_2Enum_2Enum @ V2y ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.44/5.75 = fo__c_2Enum_2E0 )
% 5.44/5.75 & ! [V3n: tp__ty_2Enum_2Enum,V4x: tp__ty_2Enum_2Enum] :
% 5.44/5.75 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Enumeral__bit_2ESFUNPOW @ ( ap @ c_2Enumeral__bit_2EFDUB @ V0f ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V4x ) ) )
% 5.44/5.75 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Enumeral__bit_2ESFUNPOW @ ( ap @ c_2Enumeral__bit_2EFDUB @ ( ap @ c_2Enumeral__bit_2EFDUB @ V0f ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) @ ( ap @ ( ap @ c_2Enumeral__bit_2EFDUB @ V0f ) @ ( inj__ty_2Enum_2Enum @ V4x ) ) ) ) )
% 5.44/5.75 & ! [V5n: tp__ty_2Enum_2Enum,V6x: tp__ty_2Enum_2Enum] :
% 5.44/5.75 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Enumeral__bit_2ESFUNPOW @ ( ap @ c_2Enumeral__bit_2EFDUB @ V0f ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V5n ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V6x ) ) )
% 5.44/5.75 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2Enumeral__bit_2ESFUNPOW @ ( ap @ c_2Enumeral__bit_2EFDUB @ ( ap @ c_2Enumeral__bit_2EFDUB @ V0f ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V5n ) ) ) @ ( ap @ ( ap @ c_2Enumeral__bit_2EFDUB @ V0f ) @ ( ap @ ( ap @ c_2Enumeral__bit_2EFDUB @ V0f ) @ ( inj__ty_2Enum_2Enum @ V6x ) ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Enumeral__bit_2EFDUB__iDIV2,axiom,
% 5.44/5.75 ! [V0x: tp__ty_2Enum_2Enum] :
% 5.44/5.75 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Enumeral__bit_2EFDUB @ c_2Enumeral__bit_2EiDIV2 ) @ ( inj__ty_2Enum_2Enum @ V0x ) ) )
% 5.44/5.75 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enumeral__bit_2EiDIV2 @ ( ap @ c_2Enumeral__bit_2EiDIV2 @ ( inj__ty_2Enum_2Enum @ V0x ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Enumeral__bit_2EFDUB__iDUB,axiom,
% 5.44/5.75 ! [V0x: tp__ty_2Enum_2Enum] :
% 5.44/5.75 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Enumeral__bit_2EFDUB @ c_2Enumeral_2EiDUB ) @ ( inj__ty_2Enum_2Enum @ V0x ) ) )
% 5.44/5.75 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enumeral_2EiDUB @ ( ap @ c_2Enumeral_2EiDUB @ ( inj__ty_2Enum_2Enum @ V0x ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Enumeral__bit_2EFDUB__FDUB,axiom,
% 5.44/5.75 ! [V0f: $i] :
% 5.44/5.75 ( ( mem @ V0f @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.44/5.75 => ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Enumeral__bit_2EFDUB @ ( ap @ c_2Enumeral__bit_2EFDUB @ V0f ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) )
% 5.44/5.75 = fo__c_2Earithmetic_2EZERO )
% 5.44/5.75 & ! [V1x: tp__ty_2Enum_2Enum] :
% 5.44/5.75 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Enumeral__bit_2EFDUB @ ( ap @ c_2Enumeral__bit_2EFDUB @ V0f ) ) @ ( ap @ c_2Enumeral__bit_2EiSUC @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.44/5.75 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Enumeral__bit_2EFDUB @ V0f ) @ ( ap @ ( ap @ c_2Enumeral__bit_2EFDUB @ V0f ) @ ( ap @ c_2Enumeral__bit_2EiSUC @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) ) ) )
% 5.44/5.75 & ! [V2x: tp__ty_2Enum_2Enum] :
% 5.44/5.75 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Enumeral__bit_2EFDUB @ ( ap @ c_2Enumeral__bit_2EFDUB @ V0f ) ) @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V2x ) ) ) )
% 5.44/5.75 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Enumeral__bit_2EFDUB @ V0f ) @ ( ap @ ( ap @ c_2Enumeral__bit_2EFDUB @ V0f ) @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V2x ) ) ) ) ) )
% 5.44/5.75 & ! [V3x: tp__ty_2Enum_2Enum] :
% 5.44/5.75 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Enumeral__bit_2EFDUB @ ( ap @ c_2Enumeral__bit_2EFDUB @ V0f ) ) @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V3x ) ) ) )
% 5.44/5.75 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Enumeral__bit_2EFDUB @ V0f ) @ ( ap @ ( ap @ c_2Enumeral__bit_2EFDUB @ V0f ) @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V3x ) ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Enumeral__bit_2ELOG__compute,axiom,
% 5.44/5.75 ! [V0base_20_3C_202_20or_20n_20_3D_200: $i] :
% 5.44/5.75 ( ( mem @ V0base_20_3C_202_20or_20n_20_3D_200 @ bool )
% 5.44/5.75 => ! [V1m: tp__ty_2Enum_2Enum,V2n: tp__ty_2Enum_2Enum] :
% 5.44/5.75 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Elogroot_2ELOG @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) )
% 5.44/5.75 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ) @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Ecombin_2EFAIL @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) @ bool ) @ c_2Elogroot_2ELOG ) @ V0base_20_3C_202_20or_20n_20_3D_200 ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ c_2Enum_2ESUC @ ( ap @ ( ap @ c_2Elogroot_2ELOG @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(ax_thm_2Enumeral__bit_2EiLOG2__def,axiom,
% 5.44/5.75 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.75 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enumeral__bit_2EiLOG2 @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.75 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Ebit_2ELOG2 @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Enumeral__bit_2Enumeral__ilog2,axiom,
% 5.44/5.75 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enumeral__bit_2EiLOG2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) )
% 5.44/5.75 = fo__c_2Enum_2E0 )
% 5.44/5.75 & ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.75 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enumeral__bit_2EiLOG2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) )
% 5.44/5.75 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ c_2Enumeral__bit_2EiLOG2 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) )
% 5.44/5.75 & ! [V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.75 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enumeral__bit_2EiLOG2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.44/5.75 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ c_2Enumeral__bit_2EiLOG2 @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Enumeral__bit_2Enumeral__log2,axiom,
% 5.44/5.75 ( ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.75 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Ebit_2ELOG2 @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) )
% 5.44/5.75 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enumeral__bit_2EiLOG2 @ ( ap @ c_2Enumeral_2EiDUB @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) )
% 5.44/5.75 & ! [V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.75 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Ebit_2ELOG2 @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) )
% 5.44/5.75 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enumeral__bit_2EiLOG2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Enumeral__bit_2EMOD__2EXP__EQ,axiom,
% 5.44/5.75 ( ! [V0a: tp__ty_2Enum_2Enum,V1b: tp__ty_2Enum_2Enum] :
% 5.44/5.75 ( ( p @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EMOD__2EXP__EQ @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) )
% 5.44/5.75 <=> $true )
% 5.44/5.75 & ! [V2n: tp__ty_2Enum_2Enum,V3a: tp__ty_2Enum_2Enum,V4b: tp__ty_2Enum_2Enum] :
% 5.44/5.75 ( ( p @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EMOD__2EXP__EQ @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) @ ( inj__ty_2Enum_2Enum @ V3a ) ) @ ( inj__ty_2Enum_2Enum @ V4b ) ) )
% 5.44/5.75 <=> ( ( ( p @ ( ap @ c_2Earithmetic_2EODD @ ( inj__ty_2Enum_2Enum @ V3a ) ) )
% 5.44/5.75 <=> ( p @ ( ap @ c_2Earithmetic_2EODD @ ( inj__ty_2Enum_2Enum @ V4b ) ) ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EMOD__2EXP__EQ @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( ap @ c_2Earithmetic_2EDIV2 @ ( inj__ty_2Enum_2Enum @ V3a ) ) ) @ ( ap @ c_2Earithmetic_2EDIV2 @ ( inj__ty_2Enum_2Enum @ V4b ) ) ) ) ) )
% 5.44/5.75 & ! [V5n: tp__ty_2Enum_2Enum,V6a: tp__ty_2Enum_2Enum] :
% 5.44/5.75 ( ( p @ ( ap @ ( ap @ ( ap @ c_2Ebit_2EMOD__2EXP__EQ @ ( inj__ty_2Enum_2Enum @ V5n ) ) @ ( inj__ty_2Enum_2Enum @ V6a ) ) @ ( inj__ty_2Enum_2Enum @ V6a ) ) )
% 5.44/5.75 <=> $true ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Enumeral__bit_2EMOD__2EXP__MAX,axiom,
% 5.44/5.75 ( ! [V0a: tp__ty_2Enum_2Enum] :
% 5.44/5.75 ( ( p @ ( ap @ ( ap @ c_2Ebit_2EMOD__2EXP__MAX @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0a ) ) )
% 5.44/5.75 <=> $true )
% 5.44/5.75 & ! [V1n: tp__ty_2Enum_2Enum,V2a: tp__ty_2Enum_2Enum] :
% 5.44/5.75 ( ( p @ ( ap @ ( ap @ c_2Ebit_2EMOD__2EXP__MAX @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ ( inj__ty_2Enum_2Enum @ V2a ) ) )
% 5.44/5.75 <=> ( ( p @ ( ap @ c_2Earithmetic_2EODD @ ( inj__ty_2Enum_2Enum @ V2a ) ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ c_2Ebit_2EMOD__2EXP__MAX @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ c_2Earithmetic_2EDIV2 @ ( inj__ty_2Enum_2Enum @ V2a ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Enumeral__bit_2ELOWEST__SET__BIT,axiom,
% 5.44/5.75 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.75 ( ( V0n != fo__c_2Enum_2E0 )
% 5.44/5.75 => ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Ebit_2ELOWEST__SET__BIT @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.44/5.75 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ c_2Earithmetic_2EODD @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ c_2Ebit_2ELOWEST__SET__BIT @ ( ap @ c_2Earithmetic_2EDIV2 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Enumeral__bit_2ELOWEST__SET__BIT__compute,axiom,
% 5.44/5.75 ( ! [V0n: tp__ty_2Enum_2Enum] :
% 5.44/5.75 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Ebit_2ELOWEST__SET__BIT @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) )
% 5.44/5.75 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enum_2ESUC @ ( ap @ c_2Ebit_2ELOWEST__SET__BIT @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) ) )
% 5.44/5.75 & ! [V1n: tp__ty_2Enum_2Enum] :
% 5.44/5.75 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Ebit_2ELOWEST__SET__BIT @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) )
% 5.44/5.75 = fo__c_2Enum_2E0 ) ) ).
% 5.44/5.75
% 5.44/5.75 %------------------------------------------------------------------------------
% 5.44/5.75 %------------------------------------------------------------------------------
% 5.44/5.75 thf(tp_c_2Egcdset_2Egcdset,type,
% 5.44/5.75 c_2Egcdset_2Egcdset: $i ).
% 5.44/5.75
% 5.44/5.75 thf(mem_c_2Egcdset_2Egcdset,axiom,
% 5.44/5.75 mem @ c_2Egcdset_2Egcdset @ ( arr @ ( arr @ ty_2Enum_2Enum @ bool ) @ ty_2Enum_2Enum ) ).
% 5.44/5.75
% 5.44/5.75 thf(ax_thm_2Egcdset_2Egcdset__def,axiom,
% 5.44/5.75 ! [V0s: $i] :
% 5.44/5.75 ( ( mem @ V0s @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.44/5.75 => ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Egcdset_2Egcdset @ V0s ) )
% 5.44/5.75 = ( surj__ty_2Enum_2Enum
% 5.44/5.75 @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( arr @ ty_2Enum_2Enum @ bool ) ) @ V0s ) @ ( c_2Epred__set_2EEMPTY @ ty_2Enum_2Enum ) ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( arr @ ty_2Enum_2Enum @ bool ) ) @ V0s ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( c_2Epred__set_2EEMPTY @ ty_2Enum_2Enum ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) )
% 5.44/5.75 @ ( ap @ c_2Epred__set_2EMAX__SET
% 5.44/5.75 @ ( ap
% 5.44/5.75 @ ( ap @ ( c_2Epred__set_2EINTER @ ty_2Enum_2Enum )
% 5.44/5.75 @ ( ap @ ( c_2Epred__set_2EGSPEC @ ty_2Enum_2Enum @ ty_2Enum_2Enum )
% 5.44/5.75 @ ( lam @ ty_2Enum_2Enum
% 5.44/5.75 @ ^ [V1n: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ bool ) @ V1n ) @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ V1n ) @ ( ap @ c_2Epred__set_2EMIN__SET @ ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ ty_2Enum_2Enum ) @ V0s ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ) ) ) ) )
% 5.44/5.75 @ ( ap @ ( c_2Epred__set_2EGSPEC @ ty_2Enum_2Enum @ ty_2Enum_2Enum )
% 5.44/5.75 @ ( lam @ ty_2Enum_2Enum
% 5.44/5.75 @ ^ [V2d: $i] :
% 5.44/5.75 ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ bool ) @ V2d )
% 5.44/5.75 @ ( ap @ ( c_2Ebool_2E_21 @ ty_2Enum_2Enum )
% 5.44/5.75 @ ( lam @ ty_2Enum_2Enum
% 5.44/5.75 @ ^ [V3e: $i] : ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ty_2Enum_2Enum ) @ V3e ) @ V0s ) ) @ ( ap @ ( ap @ c_2Edivides_2Edivides @ V2d ) @ V3e ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Egcdset_2Egcdset__divides,axiom,
% 5.44/5.75 ! [V0s: $i] :
% 5.44/5.75 ( ( mem @ V0s @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.44/5.75 => ! [V1e: tp__ty_2Enum_2Enum] :
% 5.44/5.75 ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V1e ) ) @ V0s ) )
% 5.44/5.75 => ( p @ ( ap @ ( ap @ c_2Edivides_2Edivides @ ( ap @ c_2Egcdset_2Egcdset @ V0s ) ) @ ( inj__ty_2Enum_2Enum @ V1e ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Egcdset_2Egcdset__greatest,axiom,
% 5.44/5.75 ! [V0s: $i] :
% 5.44/5.75 ( ( mem @ V0s @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.44/5.75 => ! [V1g: tp__ty_2Enum_2Enum] :
% 5.44/5.75 ( ! [V2e: tp__ty_2Enum_2Enum] :
% 5.44/5.75 ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V2e ) ) @ V0s ) )
% 5.44/5.75 => ( p @ ( ap @ ( ap @ c_2Edivides_2Edivides @ ( inj__ty_2Enum_2Enum @ V1g ) ) @ ( inj__ty_2Enum_2Enum @ V2e ) ) ) )
% 5.44/5.75 => ( p @ ( ap @ ( ap @ c_2Edivides_2Edivides @ ( inj__ty_2Enum_2Enum @ V1g ) ) @ ( ap @ c_2Egcdset_2Egcdset @ V0s ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Egcdset_2Egcdset__EMPTY,axiom,
% 5.44/5.75 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Egcdset_2Egcdset @ ( c_2Epred__set_2EEMPTY @ ty_2Enum_2Enum ) ) )
% 5.44/5.75 = fo__c_2Enum_2E0 ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Egcdset_2Egcdset__INSERT,axiom,
% 5.44/5.75 ! [V0x: tp__ty_2Enum_2Enum,V1s: $i] :
% 5.44/5.75 ( ( mem @ V1s @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.44/5.75 => ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Egcdset_2Egcdset @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ V1s ) ) )
% 5.44/5.75 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Egcd_2Egcd @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( ap @ c_2Egcdset_2Egcdset @ V1s ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 %------------------------------------------------------------------------------
% 5.44/5.75 %------------------------------------------------------------------------------
% 5.44/5.75 thf(tp_c_2Eset__relation_2ERREFL__EXP,type,
% 5.44/5.75 c_2Eset__relation_2ERREFL__EXP: del > $i ).
% 5.44/5.75
% 5.44/5.75 thf(mem_c_2Eset__relation_2ERREFL__EXP,axiom,
% 5.44/5.75 ! [A_27a: del] : ( mem @ ( c_2Eset__relation_2ERREFL__EXP @ A_27a ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(tp_c_2Eset__relation_2ERRUNIV,type,
% 5.44/5.75 c_2Eset__relation_2ERRUNIV: del > $i ).
% 5.44/5.75
% 5.44/5.75 thf(mem_c_2Eset__relation_2ERRUNIV,axiom,
% 5.44/5.75 ! [A_27a: del] : ( mem @ ( c_2Eset__relation_2ERRUNIV @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(tp_c_2Eset__relation_2Eacyclic,type,
% 5.44/5.75 c_2Eset__relation_2Eacyclic: del > $i ).
% 5.44/5.75
% 5.44/5.75 thf(mem_c_2Eset__relation_2Eacyclic,axiom,
% 5.44/5.75 ! [A_27a: del] : ( mem @ ( c_2Eset__relation_2Eacyclic @ A_27a ) @ ( arr @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) @ bool ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(tp_c_2Eset__relation_2Eall__choices,type,
% 5.44/5.75 c_2Eset__relation_2Eall__choices: del > $i ).
% 5.44/5.75
% 5.44/5.75 thf(mem_c_2Eset__relation_2Eall__choices,axiom,
% 5.44/5.75 ! [A_27a: del] : ( mem @ ( c_2Eset__relation_2Eall__choices @ A_27a ) @ ( arr @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(tp_c_2Eset__relation_2Eantisym,type,
% 5.44/5.75 c_2Eset__relation_2Eantisym: del > $i ).
% 5.44/5.75
% 5.44/5.75 thf(mem_c_2Eset__relation_2Eantisym,axiom,
% 5.44/5.75 ! [A_27a: del] : ( mem @ ( c_2Eset__relation_2Eantisym @ A_27a ) @ ( arr @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) @ bool ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(tp_c_2Eset__relation_2Echain,type,
% 5.44/5.75 c_2Eset__relation_2Echain: del > $i ).
% 5.44/5.75
% 5.44/5.75 thf(mem_c_2Eset__relation_2Echain,axiom,
% 5.44/5.75 ! [A_27a: del] : ( mem @ ( c_2Eset__relation_2Echain @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) @ bool ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(tp_c_2Eset__relation_2Edomain,type,
% 5.44/5.75 c_2Eset__relation_2Edomain: del > del > $i ).
% 5.44/5.75
% 5.44/5.75 thf(mem_c_2Eset__relation_2Edomain,axiom,
% 5.44/5.75 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Eset__relation_2Edomain @ A_27a @ A_27b ) @ ( arr @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ bool ) @ ( arr @ A_27a @ bool ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(tp_c_2Eset__relation_2Efchains,type,
% 5.44/5.75 c_2Eset__relation_2Efchains: del > $i ).
% 5.44/5.75
% 5.44/5.75 thf(mem_c_2Eset__relation_2Efchains,axiom,
% 5.44/5.75 ! [A_27a: del] : ( mem @ ( c_2Eset__relation_2Efchains @ A_27a ) @ ( arr @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(tp_c_2Eset__relation_2Efinite__prefixes,type,
% 5.44/5.75 c_2Eset__relation_2Efinite__prefixes: del > del > $i ).
% 5.44/5.75
% 5.44/5.75 thf(mem_c_2Eset__relation_2Efinite__prefixes,axiom,
% 5.44/5.75 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Eset__relation_2Efinite__prefixes @ A_27a @ A_27b ) @ ( arr @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ bool ) @ ( arr @ ( arr @ A_27b @ bool ) @ bool ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(tp_c_2Eset__relation_2Eget__min,type,
% 5.44/5.75 c_2Eset__relation_2Eget__min: del > $i ).
% 5.44/5.75
% 5.44/5.75 thf(mem_c_2Eset__relation_2Eget__min,axiom,
% 5.44/5.75 ! [A_27a: del] : ( mem @ ( c_2Eset__relation_2Eget__min @ A_27a ) @ ( arr @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) @ ( arr @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ bool ) @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) ) @ ( ty_2Eoption_2Eoption @ A_27a ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(tp_c_2Eset__relation_2Eirreflexive,type,
% 5.44/5.75 c_2Eset__relation_2Eirreflexive: del > $i ).
% 5.44/5.75
% 5.44/5.75 thf(mem_c_2Eset__relation_2Eirreflexive,axiom,
% 5.44/5.75 ! [A_27a: del] : ( mem @ ( c_2Eset__relation_2Eirreflexive @ A_27a ) @ ( arr @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(tp_c_2Eset__relation_2Elinear__order,type,
% 5.44/5.75 c_2Eset__relation_2Elinear__order: del > $i ).
% 5.44/5.75
% 5.44/5.75 thf(mem_c_2Eset__relation_2Elinear__order,axiom,
% 5.44/5.75 ! [A_27a: del] : ( mem @ ( c_2Eset__relation_2Elinear__order @ A_27a ) @ ( arr @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(tp_c_2Eset__relation_2Emaximal__elements,type,
% 5.44/5.75 c_2Eset__relation_2Emaximal__elements: del > $i ).
% 5.44/5.75
% 5.44/5.75 thf(mem_c_2Eset__relation_2Emaximal__elements,axiom,
% 5.44/5.75 ! [A_27a: del] : ( mem @ ( c_2Eset__relation_2Emaximal__elements @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) @ ( arr @ A_27a @ bool ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(tp_c_2Eset__relation_2Eminimal__elements,type,
% 5.44/5.75 c_2Eset__relation_2Eminimal__elements: del > $i ).
% 5.44/5.75
% 5.44/5.75 thf(mem_c_2Eset__relation_2Eminimal__elements,axiom,
% 5.44/5.75 ! [A_27a: del] : ( mem @ ( c_2Eset__relation_2Eminimal__elements @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) @ ( arr @ A_27a @ bool ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(tp_c_2Eset__relation_2Enth__min,type,
% 5.44/5.75 c_2Eset__relation_2Enth__min: del > $i ).
% 5.44/5.75
% 5.44/5.75 thf(mem_c_2Eset__relation_2Enth__min,axiom,
% 5.44/5.75 ! [A_27a: del] : ( mem @ ( c_2Eset__relation_2Enth__min @ A_27a ) @ ( arr @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) @ ( arr @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ bool ) @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) ) @ ( arr @ ty_2Enum_2Enum @ ( ty_2Eoption_2Eoption @ A_27a ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(tp_c_2Eset__relation_2Enum__order,type,
% 5.44/5.75 c_2Eset__relation_2Enum__order: del > $i ).
% 5.44/5.75
% 5.44/5.75 thf(mem_c_2Eset__relation_2Enum__order,axiom,
% 5.44/5.75 ! [A_27a: del] : ( mem @ ( c_2Eset__relation_2Enum__order @ A_27a ) @ ( arr @ ( arr @ A_27a @ ty_2Enum_2Enum ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(tp_c_2Eset__relation_2Epartial__order,type,
% 5.44/5.75 c_2Eset__relation_2Epartial__order: del > $i ).
% 5.44/5.75
% 5.44/5.75 thf(mem_c_2Eset__relation_2Epartial__order,axiom,
% 5.44/5.75 ! [A_27a: del] : ( mem @ ( c_2Eset__relation_2Epartial__order @ A_27a ) @ ( arr @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(tp_c_2Eset__relation_2Eper,type,
% 5.44/5.75 c_2Eset__relation_2Eper: del > $i ).
% 5.44/5.75
% 5.44/5.75 thf(mem_c_2Eset__relation_2Eper,axiom,
% 5.44/5.75 ! [A_27a: del] : ( mem @ ( c_2Eset__relation_2Eper @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) @ bool ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(tp_c_2Eset__relation_2Eper__restrict,type,
% 5.44/5.75 c_2Eset__relation_2Eper__restrict: del > $i ).
% 5.44/5.75
% 5.44/5.75 thf(mem_c_2Eset__relation_2Eper__restrict,axiom,
% 5.44/5.75 ! [A_27a: del] : ( mem @ ( c_2Eset__relation_2Eper__restrict @ A_27a ) @ ( arr @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(tp_c_2Eset__relation_2Erange,type,
% 5.44/5.75 c_2Eset__relation_2Erange: del > del > $i ).
% 5.44/5.75
% 5.44/5.75 thf(mem_c_2Eset__relation_2Erange,axiom,
% 5.44/5.75 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Eset__relation_2Erange @ A_27a @ A_27b ) @ ( arr @ ( arr @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) @ bool ) @ ( arr @ A_27a @ bool ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(tp_c_2Eset__relation_2Ercomp,type,
% 5.44/5.75 c_2Eset__relation_2Ercomp: del > del > del > $i ).
% 5.44/5.75
% 5.44/5.75 thf(mem_c_2Eset__relation_2Ercomp,axiom,
% 5.44/5.75 ! [A_27a: del,A_27b: del,A_27c: del] : ( mem @ ( c_2Eset__relation_2Ercomp @ A_27a @ A_27b @ A_27c ) @ ( arr @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27c ) @ bool ) @ ( arr @ ( arr @ ( ty_2Epair_2Eprod @ A_27c @ A_27b ) @ bool ) @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ bool ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(tp_c_2Eset__relation_2Ereflexive,type,
% 5.44/5.75 c_2Eset__relation_2Ereflexive: del > $i ).
% 5.44/5.75
% 5.44/5.75 thf(mem_c_2Eset__relation_2Ereflexive,axiom,
% 5.44/5.75 ! [A_27a: del] : ( mem @ ( c_2Eset__relation_2Ereflexive @ A_27a ) @ ( arr @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(tp_c_2Eset__relation_2Erel__to__reln,type,
% 5.44/5.75 c_2Eset__relation_2Erel__to__reln: del > del > $i ).
% 5.44/5.75
% 5.44/5.75 thf(mem_c_2Eset__relation_2Erel__to__reln,axiom,
% 5.44/5.75 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Eset__relation_2Erel__to__reln @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ bool ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(tp_c_2Eset__relation_2Ereln__to__rel,type,
% 5.44/5.75 c_2Eset__relation_2Ereln__to__rel: del > del > $i ).
% 5.44/5.75
% 5.44/5.75 thf(mem_c_2Eset__relation_2Ereln__to__rel,axiom,
% 5.44/5.75 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Eset__relation_2Ereln__to__rel @ A_27a @ A_27b ) @ ( arr @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ bool ) @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(tp_c_2Eset__relation_2Errestrict,type,
% 5.44/5.75 c_2Eset__relation_2Errestrict: del > $i ).
% 5.44/5.75
% 5.44/5.75 thf(mem_c_2Eset__relation_2Errestrict,axiom,
% 5.44/5.75 ! [A_27a: del] : ( mem @ ( c_2Eset__relation_2Errestrict @ A_27a ) @ ( arr @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(tp_c_2Eset__relation_2Estrict,type,
% 5.44/5.75 c_2Eset__relation_2Estrict: del > $i ).
% 5.44/5.75
% 5.44/5.75 thf(mem_c_2Eset__relation_2Estrict,axiom,
% 5.44/5.75 ! [A_27a: del] : ( mem @ ( c_2Eset__relation_2Estrict @ A_27a ) @ ( arr @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(tp_c_2Eset__relation_2Estrict__linear__order,type,
% 5.44/5.75 c_2Eset__relation_2Estrict__linear__order: del > $i ).
% 5.44/5.75
% 5.44/5.75 thf(mem_c_2Eset__relation_2Estrict__linear__order,axiom,
% 5.44/5.75 ! [A_27a: del] : ( mem @ ( c_2Eset__relation_2Estrict__linear__order @ A_27a ) @ ( arr @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(tp_c_2Eset__relation_2Etc,type,
% 5.44/5.75 c_2Eset__relation_2Etc: del > $i ).
% 5.44/5.75
% 5.44/5.75 thf(mem_c_2Eset__relation_2Etc,axiom,
% 5.44/5.75 ! [A_27a: del] : ( mem @ ( c_2Eset__relation_2Etc @ A_27a ) @ ( arr @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(tp_c_2Eset__relation_2Etransitive,type,
% 5.44/5.75 c_2Eset__relation_2Etransitive: del > $i ).
% 5.44/5.75
% 5.44/5.75 thf(mem_c_2Eset__relation_2Etransitive,axiom,
% 5.44/5.75 ! [A_27a: del] : ( mem @ ( c_2Eset__relation_2Etransitive @ A_27a ) @ ( arr @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) @ bool ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(tp_c_2Eset__relation_2Euniv__reln,type,
% 5.44/5.75 c_2Eset__relation_2Euniv__reln: del > $i ).
% 5.44/5.75
% 5.44/5.75 thf(mem_c_2Eset__relation_2Euniv__reln,axiom,
% 5.44/5.75 ! [A_27a: del] : ( mem @ ( c_2Eset__relation_2Euniv__reln @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(tp_c_2Eset__relation_2Eupper__bounds,type,
% 5.44/5.75 c_2Eset__relation_2Eupper__bounds: del > del > $i ).
% 5.44/5.75
% 5.44/5.75 thf(mem_c_2Eset__relation_2Eupper__bounds,axiom,
% 5.44/5.75 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Eset__relation_2Eupper__bounds @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27b @ bool ) @ ( arr @ ( arr @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) @ bool ) @ ( arr @ A_27a @ bool ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Erextension,axiom,
% 5.44/5.75 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.44/5.75 ( ( mem @ V0s @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ bool ) )
% 5.44/5.75 => ! [V1t: $i] :
% 5.44/5.75 ( ( mem @ V1t @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ bool ) )
% 5.44/5.75 => ( ( V0s = V1t )
% 5.44/5.75 <=> ! [V2x: $i] :
% 5.44/5.75 ( ( mem @ V2x @ A_27a )
% 5.44/5.75 => ! [V3y: $i] :
% 5.44/5.75 ( ( mem @ V3y @ A_27b )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V2x ) @ V3y ) ) @ V0s ) )
% 5.44/5.75 <=> ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V2x ) @ V3y ) ) @ V1t ) ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(ax_thm_2Eset__relation_2Edomain__def,axiom,
% 5.44/5.75 ! [A_27a: del,A_27b: del,V0r: $i] :
% 5.44/5.75 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ bool ) )
% 5.44/5.75 => ( ( ap @ ( c_2Eset__relation_2Edomain @ A_27a @ A_27b ) @ V0r )
% 5.44/5.75 = ( ap @ ( c_2Epred__set_2EGSPEC @ A_27a @ A_27a )
% 5.44/5.75 @ ( lam @ A_27a
% 5.44/5.75 @ ^ [V1x: $i] :
% 5.44/5.75 ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ bool ) @ V1x )
% 5.44/5.75 @ ( ap @ ( c_2Ebool_2E_3F @ A_27b )
% 5.44/5.75 @ ( lam @ A_27b
% 5.44/5.75 @ ^ [V2y: $i] : ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V1x ) @ V2y ) ) @ V0r ) ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(ax_thm_2Eset__relation_2Erange__def,axiom,
% 5.44/5.75 ! [A_27a: del,A_27b: del,V0r: $i] :
% 5.44/5.75 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) @ bool ) )
% 5.44/5.75 => ( ( ap @ ( c_2Eset__relation_2Erange @ A_27a @ A_27b ) @ V0r )
% 5.44/5.75 = ( ap @ ( c_2Epred__set_2EGSPEC @ A_27a @ A_27a )
% 5.44/5.75 @ ( lam @ A_27a
% 5.44/5.75 @ ^ [V1y: $i] :
% 5.44/5.75 ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ bool ) @ V1y )
% 5.44/5.75 @ ( ap @ ( c_2Ebool_2E_3F @ A_27b )
% 5.44/5.75 @ ( lam @ A_27b
% 5.44/5.75 @ ^ [V2x: $i] : ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27b @ A_27a ) @ V2x ) @ V1y ) ) @ V0r ) ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Ein__domain,axiom,
% 5.44/5.75 ! [A_27a: del,A_27b: del,V0x: $i] :
% 5.44/5.75 ( ( mem @ V0x @ A_27a )
% 5.44/5.75 => ! [V1r: $i] :
% 5.44/5.75 ( ( mem @ V1r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ bool ) )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0x ) @ ( ap @ ( c_2Eset__relation_2Edomain @ A_27a @ A_27b ) @ V1r ) ) )
% 5.44/5.75 <=> ? [V2y: $i] :
% 5.44/5.75 ( ( mem @ V2y @ A_27b )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V0x ) @ V2y ) ) @ V1r ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Ein__range,axiom,
% 5.44/5.75 ! [A_27a: del,A_27b: del,V0y: $i] :
% 5.44/5.75 ( ( mem @ V0y @ A_27a )
% 5.44/5.75 => ! [V1r: $i] :
% 5.44/5.75 ( ( mem @ V1r @ ( arr @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) @ bool ) )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0y ) @ ( ap @ ( c_2Eset__relation_2Erange @ A_27a @ A_27b ) @ V1r ) ) )
% 5.44/5.75 <=> ? [V2x: $i] :
% 5.44/5.75 ( ( mem @ V2x @ A_27b )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27b @ A_27a ) @ V2x ) @ V0y ) ) @ V1r ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Ein__dom__rg,axiom,
% 5.44/5.75 ! [A_27a: del,A_27b: del,V0x: $i] :
% 5.44/5.75 ( ( mem @ V0x @ A_27a )
% 5.44/5.75 => ! [V1y: $i] :
% 5.44/5.75 ( ( mem @ V1y @ A_27b )
% 5.44/5.75 => ! [V2r: $i] :
% 5.44/5.75 ( ( mem @ V2r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ bool ) )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V0x ) @ V1y ) ) @ V2r ) )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0x ) @ ( ap @ ( c_2Eset__relation_2Edomain @ A_27a @ A_27b ) @ V2r ) ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ V1y ) @ ( ap @ ( c_2Eset__relation_2Erange @ A_27b @ A_27a ) @ V2r ) ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Edomain__mono,axiom,
% 5.44/5.75 ! [A_27a: del,A_27b: del,V0r: $i] :
% 5.44/5.75 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ bool ) )
% 5.44/5.75 => ! [V1r_27: $i] :
% 5.44/5.75 ( ( mem @ V1r_27 @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ bool ) )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ V0r ) @ V1r_27 ) )
% 5.44/5.75 => ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ ( ap @ ( c_2Eset__relation_2Edomain @ A_27a @ A_27b ) @ V0r ) ) @ ( ap @ ( c_2Eset__relation_2Edomain @ A_27a @ A_27b ) @ V1r_27 ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Erange__mono,axiom,
% 5.44/5.75 ! [A_27a: del,A_27b: del,V0r: $i] :
% 5.44/5.75 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ bool ) )
% 5.44/5.75 => ! [V1r_27: $i] :
% 5.44/5.75 ( ( mem @ V1r_27 @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ bool ) )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ V0r ) @ V1r_27 ) )
% 5.44/5.75 => ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27b ) @ ( ap @ ( c_2Eset__relation_2Erange @ A_27b @ A_27a ) @ V0r ) ) @ ( ap @ ( c_2Eset__relation_2Erange @ A_27b @ A_27a ) @ V1r_27 ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(ax_thm_2Eset__relation_2Errestrict__def,axiom,
% 5.44/5.75 ! [A_27a: del,V0r: $i] :
% 5.44/5.75 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V1s: $i] :
% 5.44/5.75 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ( ( ap @ ( ap @ ( c_2Eset__relation_2Errestrict @ A_27a ) @ V0r ) @ V1s )
% 5.44/5.75 = ( ap @ ( c_2Epred__set_2EGSPEC @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) )
% 5.44/5.75 @ ( ap @ ( c_2Epair_2EUNCURRY @ A_27a @ A_27a @ ( ty_2Epair_2Eprod @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 @ ( lam @ A_27a
% 5.44/5.75 @ ^ [V2x: $i] :
% 5.44/5.75 ( lam @ A_27a
% 5.44/5.75 @ ^ [V3y: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V2x ) @ V3y ) ) @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V2x ) @ V3y ) ) @ V0r ) ) @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V1s ) ) @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3y ) @ V1s ) ) ) ) ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Ein__rrestrict,axiom,
% 5.44/5.75 ! [A_27a: del,V0x: $i] :
% 5.44/5.75 ( ( mem @ V0x @ A_27a )
% 5.44/5.75 => ! [V1y: $i] :
% 5.44/5.75 ( ( mem @ V1y @ A_27a )
% 5.44/5.75 => ! [V2r: $i] :
% 5.44/5.75 ( ( mem @ V2r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V3s: $i] :
% 5.44/5.75 ( ( mem @ V3s @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V0x ) @ V1y ) ) @ ( ap @ ( ap @ ( c_2Eset__relation_2Errestrict @ A_27a ) @ V2r ) @ V3s ) ) )
% 5.44/5.75 <=> ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V0x ) @ V1y ) ) @ V2r ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0x ) @ V3s ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V1y ) @ V3s ) ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Ein__rrestrict__alt,axiom,
% 5.44/5.75 ! [A_27a: del,V0x: $i] :
% 5.44/5.75 ( ( mem @ V0x @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) )
% 5.44/5.75 => ! [V1r: $i] :
% 5.44/5.75 ( ( mem @ V1r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V2s: $i] :
% 5.44/5.75 ( ( mem @ V2s @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ V0x ) @ ( ap @ ( ap @ ( c_2Eset__relation_2Errestrict @ A_27a ) @ V1r ) @ V2s ) ) )
% 5.44/5.75 <=> ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ V0x ) @ V1r ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ ( ap @ ( c_2Epair_2EFST @ A_27a @ A_27a ) @ V0x ) ) @ V2s ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ ( ap @ ( c_2Epair_2ESND @ A_27a @ A_27a ) @ V0x ) ) @ V2s ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Errestrict__SUBSET,axiom,
% 5.44/5.75 ! [A_27a: del,V0r: $i] :
% 5.44/5.75 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V1s: $i] :
% 5.44/5.75 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Eset__relation_2Errestrict @ A_27a ) @ V0r ) @ V1s ) ) @ V0r ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Errestrict__union,axiom,
% 5.44/5.75 ! [A_27a: del,V0r1: $i] :
% 5.44/5.75 ( ( mem @ V0r1 @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V1r2: $i] :
% 5.44/5.75 ( ( mem @ V1r2 @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V2s: $i] :
% 5.44/5.75 ( ( mem @ V2s @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ( ( ap @ ( ap @ ( c_2Eset__relation_2Errestrict @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ V0r1 ) @ V1r2 ) ) @ V2s )
% 5.44/5.75 = ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Eset__relation_2Errestrict @ A_27a ) @ V0r1 ) @ V2s ) ) @ ( ap @ ( ap @ ( c_2Eset__relation_2Errestrict @ A_27a ) @ V1r2 ) @ V2s ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Errestrict__rrestrict,axiom,
% 5.44/5.75 ! [A_27a: del,V0r: $i] :
% 5.44/5.75 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V1x: $i] :
% 5.44/5.75 ( ( mem @ V1x @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ! [V2y: $i] :
% 5.44/5.75 ( ( mem @ V2y @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ( ( ap @ ( ap @ ( c_2Eset__relation_2Errestrict @ A_27a ) @ ( ap @ ( ap @ ( c_2Eset__relation_2Errestrict @ A_27a ) @ V0r ) @ V1x ) ) @ V2y )
% 5.44/5.75 = ( ap @ ( ap @ ( c_2Eset__relation_2Errestrict @ A_27a ) @ V0r ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ V1x ) @ V2y ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Edomain__rrestrict__SUBSET,axiom,
% 5.44/5.75 ! [A_27a: del,V0r: $i] :
% 5.44/5.75 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V1s: $i] :
% 5.44/5.75 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ ( ap @ ( c_2Eset__relation_2Edomain @ A_27a @ A_27a ) @ ( ap @ ( ap @ ( c_2Eset__relation_2Errestrict @ A_27a ) @ V0r ) @ V1s ) ) ) @ V1s ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Erange__rrestrict__SUBSET,axiom,
% 5.44/5.75 ! [A_27a: del,V0r: $i] :
% 5.44/5.75 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V1s: $i] :
% 5.44/5.75 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ ( ap @ ( c_2Eset__relation_2Erange @ A_27a @ A_27a ) @ ( ap @ ( ap @ ( c_2Eset__relation_2Errestrict @ A_27a ) @ V0r ) @ V1s ) ) ) @ V1s ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(ax_thm_2Eset__relation_2Ercomp__def,axiom,
% 5.44/5.75 ! [A_27a: del,A_27b: del,A_27c: del,V0r1: $i] :
% 5.44/5.75 ( ( mem @ V0r1 @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27c ) @ bool ) )
% 5.44/5.75 => ! [V1r2: $i] :
% 5.44/5.75 ( ( mem @ V1r2 @ ( arr @ ( ty_2Epair_2Eprod @ A_27c @ A_27b ) @ bool ) )
% 5.44/5.75 => ( ( ap @ ( ap @ ( c_2Eset__relation_2Ercomp @ A_27a @ A_27b @ A_27c ) @ V0r1 ) @ V1r2 )
% 5.44/5.75 = ( ap @ ( c_2Epred__set_2EGSPEC @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) )
% 5.44/5.75 @ ( ap @ ( c_2Epair_2EUNCURRY @ A_27a @ A_27b @ ( ty_2Epair_2Eprod @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ bool ) )
% 5.44/5.75 @ ( lam @ A_27a
% 5.44/5.75 @ ^ [V2x: $i] :
% 5.44/5.75 ( lam @ A_27b
% 5.44/5.75 @ ^ [V3y: $i] :
% 5.44/5.75 ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ bool ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V2x ) @ V3y ) )
% 5.44/5.75 @ ( ap @ ( c_2Ebool_2E_3F @ A_27c )
% 5.44/5.75 @ ( lam @ A_27c
% 5.44/5.75 @ ^ [V4z: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27c ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27c ) @ V2x ) @ V4z ) ) @ V0r1 ) ) @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27c @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27c @ A_27b ) @ V4z ) @ V3y ) ) @ V1r2 ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(ax_thm_2Eset__relation_2Estrict__def,axiom,
% 5.44/5.75 ! [A_27a: del,V0r: $i] :
% 5.44/5.75 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ( ( ap @ ( c_2Eset__relation_2Estrict @ A_27a ) @ V0r )
% 5.44/5.75 = ( ap @ ( c_2Epred__set_2EGSPEC @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) )
% 5.44/5.75 @ ( ap @ ( c_2Epair_2EUNCURRY @ A_27a @ A_27a @ ( ty_2Epair_2Eprod @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 @ ( lam @ A_27a
% 5.44/5.75 @ ^ [V1x: $i] :
% 5.44/5.75 ( lam @ A_27a
% 5.44/5.75 @ ^ [V2y: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V1x ) @ V2y ) ) @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V1x ) @ V2y ) ) @ V0r ) ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V1x ) @ V2y ) ) ) ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Estrict__rrestrict,axiom,
% 5.44/5.75 ! [A_27a: del,V0r: $i] :
% 5.44/5.75 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V1s: $i] :
% 5.44/5.75 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ( ( ap @ ( c_2Eset__relation_2Estrict @ A_27a ) @ ( ap @ ( ap @ ( c_2Eset__relation_2Errestrict @ A_27a ) @ V0r ) @ V1s ) )
% 5.44/5.75 = ( ap @ ( ap @ ( c_2Eset__relation_2Errestrict @ A_27a ) @ ( ap @ ( c_2Eset__relation_2Estrict @ A_27a ) @ V0r ) ) @ V1s ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(ax_thm_2Eset__relation_2Euniv__reln__def,axiom,
% 5.44/5.75 ! [A_27a: del,V0xs: $i] :
% 5.44/5.75 ( ( mem @ V0xs @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ( ( ap @ ( c_2Eset__relation_2Euniv__reln @ A_27a ) @ V0xs )
% 5.44/5.75 = ( ap @ ( c_2Epred__set_2EGSPEC @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) )
% 5.44/5.75 @ ( ap @ ( c_2Epair_2EUNCURRY @ A_27a @ A_27a @ ( ty_2Epair_2Eprod @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 @ ( lam @ A_27a
% 5.44/5.75 @ ^ [V1x1: $i] :
% 5.44/5.75 ( lam @ A_27a
% 5.44/5.75 @ ^ [V2x2: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V1x1 ) @ V2x2 ) ) @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V1x1 ) @ V0xs ) ) @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x2 ) @ V0xs ) ) ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(ax_thm_2Eset__relation_2Efinite__prefixes__def,axiom,
% 5.44/5.75 ! [A_27a: del,A_27b: del,V0r: $i] :
% 5.44/5.75 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ bool ) )
% 5.44/5.75 => ! [V1s: $i] :
% 5.44/5.75 ( ( mem @ V1s @ ( arr @ A_27b @ bool ) )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Efinite__prefixes @ A_27a @ A_27b ) @ V0r ) @ V1s ) )
% 5.44/5.75 <=> ! [V2e: $i] :
% 5.44/5.75 ( ( mem @ V2e @ A_27b )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ V2e ) @ V1s ) )
% 5.44/5.75 => ( p
% 5.44/5.75 @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a )
% 5.44/5.75 @ ( ap @ ( c_2Epred__set_2EGSPEC @ A_27a @ A_27a )
% 5.44/5.75 @ ( lam @ A_27a
% 5.44/5.75 @ ^ [V3e_27: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ bool ) @ V3e_27 ) @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V3e_27 ) @ V2e ) ) @ V0r ) ) ) ) ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Efinite__prefixes__subset__s,axiom,
% 5.44/5.75 ! [A_27a: del,A_27b: del,V0r: $i] :
% 5.44/5.75 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ bool ) )
% 5.44/5.75 => ! [V1s: $i] :
% 5.44/5.75 ( ( mem @ V1s @ ( arr @ A_27b @ bool ) )
% 5.44/5.75 => ! [V2s_27: $i] :
% 5.44/5.75 ( ( mem @ V2s_27 @ ( arr @ A_27b @ bool ) )
% 5.44/5.75 => ( ( ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Efinite__prefixes @ A_27a @ A_27b ) @ V0r ) @ V1s ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27b ) @ V2s_27 ) @ V1s ) ) )
% 5.44/5.75 => ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Efinite__prefixes @ A_27a @ A_27b ) @ V0r ) @ V2s_27 ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Efinite__prefixes__subset__r,axiom,
% 5.44/5.75 ! [A_27a: del,A_27b: del,V0r: $i] :
% 5.44/5.75 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ bool ) )
% 5.44/5.75 => ! [V1r_27: $i] :
% 5.44/5.75 ( ( mem @ V1r_27 @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ bool ) )
% 5.44/5.75 => ! [V2s: $i] :
% 5.44/5.75 ( ( mem @ V2s @ ( arr @ A_27b @ bool ) )
% 5.44/5.75 => ( ( ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Efinite__prefixes @ A_27a @ A_27b ) @ V0r ) @ V2s ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ V1r_27 ) @ V0r ) ) )
% 5.44/5.75 => ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Efinite__prefixes @ A_27a @ A_27b ) @ V1r_27 ) @ V2s ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Efinite__prefixes__subset__rs,axiom,
% 5.44/5.75 ! [A_27a: del,A_27b: del,V0r: $i] :
% 5.44/5.75 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ bool ) )
% 5.44/5.75 => ! [V1s: $i] :
% 5.44/5.75 ( ( mem @ V1s @ ( arr @ A_27b @ bool ) )
% 5.44/5.75 => ! [V2r_27: $i] :
% 5.44/5.75 ( ( mem @ V2r_27 @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ bool ) )
% 5.44/5.75 => ! [V3s_27: $i] :
% 5.44/5.75 ( ( mem @ V3s_27 @ ( arr @ A_27b @ bool ) )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Efinite__prefixes @ A_27a @ A_27b ) @ V0r ) @ V1s ) )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ V2r_27 ) @ V0r ) )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27b ) @ V3s_27 ) @ V1s ) )
% 5.44/5.75 => ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Efinite__prefixes @ A_27a @ A_27b ) @ V2r_27 ) @ V3s_27 ) ) ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Efinite__prefixes__subset,axiom,
% 5.44/5.75 ! [A_27a: del,V0r: $i] :
% 5.44/5.75 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V1s: $i] :
% 5.44/5.75 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ! [V2s_27: $i] :
% 5.44/5.75 ( ( mem @ V2s_27 @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ( ( ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Efinite__prefixes @ A_27a @ A_27a ) @ V0r ) @ V1s ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V2s_27 ) @ V1s ) ) )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Efinite__prefixes @ A_27a @ A_27a ) @ V0r ) @ V2s_27 ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Efinite__prefixes @ A_27a @ A_27a ) @ ( ap @ ( ap @ ( c_2Eset__relation_2Errestrict @ A_27a ) @ V0r ) @ V2s_27 ) ) @ V2s_27 ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Efinite__prefixes__union,axiom,
% 5.44/5.75 ! [A_27a: del,A_27b: del,V0r1: $i] :
% 5.44/5.75 ( ( mem @ V0r1 @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ bool ) )
% 5.44/5.75 => ! [V1r2: $i] :
% 5.44/5.75 ( ( mem @ V1r2 @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ bool ) )
% 5.44/5.75 => ! [V2s1: $i] :
% 5.44/5.75 ( ( mem @ V2s1 @ ( arr @ A_27b @ bool ) )
% 5.44/5.75 => ! [V3s2: $i] :
% 5.44/5.75 ( ( mem @ V3s2 @ ( arr @ A_27b @ bool ) )
% 5.44/5.75 => ( ( ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Efinite__prefixes @ A_27a @ A_27b ) @ V0r1 ) @ V2s1 ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Efinite__prefixes @ A_27a @ A_27b ) @ V1r2 ) @ V3s2 ) ) )
% 5.44/5.75 => ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Efinite__prefixes @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ V0r1 ) @ V1r2 ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27b ) @ V2s1 ) @ V3s2 ) ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Efinite__prefixes__comp,axiom,
% 5.44/5.75 ! [A_27a: del,A_27b: del,A_27c: del,V0r1: $i] :
% 5.44/5.75 ( ( mem @ V0r1 @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ bool ) )
% 5.44/5.75 => ! [V1r2: $i] :
% 5.44/5.75 ( ( mem @ V1r2 @ ( arr @ ( ty_2Epair_2Eprod @ A_27b @ A_27c ) @ bool ) )
% 5.44/5.75 => ! [V2s1: $i] :
% 5.44/5.75 ( ( mem @ V2s1 @ ( arr @ A_27b @ bool ) )
% 5.44/5.75 => ! [V3s2: $i] :
% 5.44/5.75 ( ( mem @ V3s2 @ ( arr @ A_27c @ bool ) )
% 5.44/5.75 => ( ( ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Efinite__prefixes @ A_27a @ A_27b ) @ V0r1 ) @ V2s1 ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Efinite__prefixes @ A_27b @ A_27c ) @ V1r2 ) @ V3s2 ) )
% 5.44/5.75 & ( p
% 5.44/5.75 @ ( ap
% 5.44/5.75 @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27b )
% 5.44/5.75 @ ( ap @ ( c_2Epred__set_2EGSPEC @ A_27b @ A_27b )
% 5.44/5.75 @ ( lam @ A_27b
% 5.44/5.75 @ ^ [V4x: $i] :
% 5.44/5.75 ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27b @ bool ) @ V4x )
% 5.44/5.75 @ ( ap @ ( c_2Ebool_2E_3F @ A_27c )
% 5.44/5.75 @ ( lam @ A_27c
% 5.44/5.75 @ ^ [V5y: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27c ) @ V5y ) @ V3s2 ) ) @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27b @ A_27c ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27b @ A_27c ) @ V4x ) @ V5y ) ) @ V1r2 ) ) ) ) ) ) ) )
% 5.44/5.75 @ V2s1 ) ) )
% 5.44/5.75 => ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Efinite__prefixes @ A_27a @ A_27c ) @ ( ap @ ( ap @ ( c_2Eset__relation_2Ercomp @ A_27a @ A_27c @ A_27b ) @ V0r1 ) @ V1r2 ) ) @ V3s2 ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Efinite__prefixes__inj__image,axiom,
% 5.44/5.75 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.44/5.75 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.44/5.75 => ! [V1r: $i] :
% 5.44/5.75 ( ( mem @ V1r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V2s: $i] :
% 5.44/5.75 ( ( mem @ V2s @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ( ( ! [V3x: $i] :
% 5.44/5.75 ( ( mem @ V3x @ A_27a )
% 5.44/5.75 => ! [V4y: $i] :
% 5.44/5.75 ( ( mem @ V4y @ A_27a )
% 5.44/5.75 => ( ( ( ap @ V0f @ V3x )
% 5.44/5.75 = ( ap @ V0f @ V4y ) )
% 5.44/5.75 => ( V3x = V4y ) ) ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Efinite__prefixes @ A_27a @ A_27a ) @ V1r ) @ V2s ) ) )
% 5.44/5.75 => ( p
% 5.44/5.75 @ ( ap
% 5.44/5.75 @ ( ap @ ( c_2Eset__relation_2Efinite__prefixes @ A_27b @ A_27b )
% 5.44/5.75 @ ( ap @ ( c_2Epred__set_2EGSPEC @ ( ty_2Epair_2Eprod @ A_27b @ A_27b ) @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) )
% 5.44/5.75 @ ( ap @ ( c_2Epair_2EUNCURRY @ A_27a @ A_27a @ ( ty_2Epair_2Eprod @ ( ty_2Epair_2Eprod @ A_27b @ A_27b ) @ bool ) )
% 5.44/5.75 @ ( lam @ A_27a
% 5.44/5.75 @ ^ [V5x: $i] :
% 5.44/5.75 ( lam @ A_27a
% 5.44/5.75 @ ^ [V6y: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Epair_2Eprod @ A_27b @ A_27b ) @ bool ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27b @ A_27b ) @ ( ap @ V0f @ V5x ) ) @ ( ap @ V0f @ V6y ) ) ) @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V5x ) @ V6y ) ) @ V1r ) ) ) ) ) ) )
% 5.44/5.75 @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ A_27b ) @ V0f ) @ V2s ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Efinite__prefixes__range,axiom,
% 5.44/5.75 ! [A_27a: del,A_27b: del,V0r: $i] :
% 5.44/5.75 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ bool ) )
% 5.44/5.75 => ! [V1s: $i] :
% 5.44/5.75 ( ( mem @ V1s @ ( arr @ A_27b @ bool ) )
% 5.44/5.75 => ! [V2t: $i] :
% 5.44/5.75 ( ( mem @ V2t @ ( arr @ A_27b @ bool ) )
% 5.44/5.75 => ( ( ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Efinite__prefixes @ A_27a @ A_27b ) @ V0r ) @ V1s ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Epred__set_2EDISJOINT @ A_27b ) @ V2t ) @ ( ap @ ( c_2Eset__relation_2Erange @ A_27b @ A_27a ) @ V0r ) ) ) )
% 5.44/5.75 => ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Efinite__prefixes @ A_27a @ A_27b ) @ V0r ) @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27b ) @ V1s ) @ V2t ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(ax_thm_2Eset__relation_2Etc__def,axiom,
% 5.44/5.75 ! [A_27a: del] :
% 5.44/5.75 ( ( c_2Eset__relation_2Etc @ A_27a )
% 5.44/5.75 = ( lam @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool )
% 5.44/5.75 @ ^ [V0r: $i] :
% 5.44/5.75 ( lam @ ( ty_2Epair_2Eprod @ A_27a @ A_27a )
% 5.44/5.75 @ ^ [V1a0: $i] :
% 5.44/5.75 ( ap @ ( c_2Ebool_2E_21 @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 @ ( lam @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool )
% 5.44/5.75 @ ^ [V2tc_27: $i] :
% 5.44/5.75 ( ap
% 5.44/5.75 @ ( ap @ c_2Emin_2E_3D_3D_3E
% 5.44/5.75 @ ( ap @ ( c_2Ebool_2E_21 @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) )
% 5.44/5.75 @ ( lam @ ( ty_2Epair_2Eprod @ A_27a @ A_27a )
% 5.44/5.75 @ ^ [V3a0: $i] :
% 5.44/5.75 ( ap
% 5.44/5.75 @ ( ap @ c_2Emin_2E_3D_3D_3E
% 5.44/5.75 @ ( ap
% 5.44/5.75 @ ( ap @ c_2Ebool_2E_5C_2F
% 5.44/5.75 @ ( ap @ ( c_2Ebool_2E_3F @ A_27a )
% 5.44/5.75 @ ( lam @ A_27a
% 5.44/5.75 @ ^ [V4x: $i] :
% 5.44/5.75 ( ap @ ( c_2Ebool_2E_3F @ A_27a )
% 5.44/5.75 @ ( lam @ A_27a
% 5.44/5.75 @ ^ [V5y: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ V3a0 ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V4x ) @ V5y ) ) ) @ ( ap @ V0r @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V4x ) @ V5y ) ) ) ) ) ) ) )
% 5.44/5.75 @ ( ap @ ( c_2Ebool_2E_3F @ A_27a )
% 5.44/5.75 @ ( lam @ A_27a
% 5.44/5.75 @ ^ [V6x: $i] :
% 5.44/5.75 ( ap @ ( c_2Ebool_2E_3F @ A_27a )
% 5.44/5.75 @ ( lam @ A_27a
% 5.44/5.75 @ ^ [V7y: $i] :
% 5.44/5.75 ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ V3a0 ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V6x ) @ V7y ) ) )
% 5.44/5.75 @ ( ap @ ( c_2Ebool_2E_3F @ A_27a )
% 5.44/5.75 @ ( lam @ A_27a
% 5.44/5.75 @ ^ [V8z: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V2tc_27 @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V6x ) @ V8z ) ) ) @ ( ap @ V2tc_27 @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V8z ) @ V7y ) ) ) ) ) ) ) ) ) ) ) )
% 5.44/5.75 @ ( ap @ V2tc_27 @ V3a0 ) ) ) ) )
% 5.44/5.75 @ ( ap @ V2tc_27 @ V1a0 ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Etc__rules,axiom,
% 5.44/5.75 ! [A_27a: del,V0r: $i] :
% 5.44/5.75 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ( ! [V1x: $i] :
% 5.44/5.75 ( ( mem @ V1x @ A_27a )
% 5.44/5.75 => ! [V2y: $i] :
% 5.44/5.75 ( ( mem @ V2y @ A_27a )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V1x ) @ V2y ) ) @ V0r ) )
% 5.44/5.75 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V1x ) @ V2y ) ) @ ( ap @ ( c_2Eset__relation_2Etc @ A_27a ) @ V0r ) ) ) ) ) )
% 5.44/5.75 & ! [V3x: $i] :
% 5.44/5.75 ( ( mem @ V3x @ A_27a )
% 5.44/5.75 => ! [V4y: $i] :
% 5.44/5.75 ( ( mem @ V4y @ A_27a )
% 5.44/5.75 => ( ? [V5z: $i] :
% 5.44/5.75 ( ( mem @ V5z @ A_27a )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V3x ) @ V5z ) ) @ ( ap @ ( c_2Eset__relation_2Etc @ A_27a ) @ V0r ) ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V5z ) @ V4y ) ) @ ( ap @ ( c_2Eset__relation_2Etc @ A_27a ) @ V0r ) ) ) )
% 5.44/5.75 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V3x ) @ V4y ) ) @ ( ap @ ( c_2Eset__relation_2Etc @ A_27a ) @ V0r ) ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Etc__cases,axiom,
% 5.44/5.75 ! [A_27a: del,V0r: $i] :
% 5.44/5.75 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V1x: $i] :
% 5.44/5.75 ( ( mem @ V1x @ A_27a )
% 5.44/5.75 => ! [V2y: $i] :
% 5.44/5.75 ( ( mem @ V2y @ A_27a )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V1x ) @ V2y ) ) @ ( ap @ ( c_2Eset__relation_2Etc @ A_27a ) @ V0r ) ) )
% 5.44/5.75 <=> ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V1x ) @ V2y ) ) @ V0r ) )
% 5.44/5.75 | ? [V3z: $i] :
% 5.44/5.75 ( ( mem @ V3z @ A_27a )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V1x ) @ V3z ) ) @ ( ap @ ( c_2Eset__relation_2Etc @ A_27a ) @ V0r ) ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V3z ) @ V2y ) ) @ ( ap @ ( c_2Eset__relation_2Etc @ A_27a ) @ V0r ) ) ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Etc__ind,axiom,
% 5.44/5.75 ! [A_27a: del,V0r: $i] :
% 5.44/5.75 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V1tc_27: $i] :
% 5.44/5.75 ( ( mem @ V1tc_27 @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.75 => ( ( ! [V2x: $i] :
% 5.44/5.75 ( ( mem @ V2x @ A_27a )
% 5.44/5.75 => ! [V3y: $i] :
% 5.44/5.75 ( ( mem @ V3y @ A_27a )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V2x ) @ V3y ) ) @ V0r ) )
% 5.44/5.75 => ( p @ ( ap @ ( ap @ V1tc_27 @ V2x ) @ V3y ) ) ) ) )
% 5.44/5.75 & ! [V4x: $i] :
% 5.44/5.75 ( ( mem @ V4x @ A_27a )
% 5.44/5.75 => ! [V5y: $i] :
% 5.44/5.75 ( ( mem @ V5y @ A_27a )
% 5.44/5.75 => ( ? [V6z: $i] :
% 5.44/5.75 ( ( mem @ V6z @ A_27a )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ V1tc_27 @ V4x ) @ V6z ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ V1tc_27 @ V6z ) @ V5y ) ) )
% 5.44/5.75 => ( p @ ( ap @ ( ap @ V1tc_27 @ V4x ) @ V5y ) ) ) ) ) )
% 5.44/5.75 => ! [V7x: $i] :
% 5.44/5.75 ( ( mem @ V7x @ A_27a )
% 5.44/5.75 => ! [V8y: $i] :
% 5.44/5.75 ( ( mem @ V8y @ A_27a )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V7x ) @ V8y ) ) @ ( ap @ ( c_2Eset__relation_2Etc @ A_27a ) @ V0r ) ) )
% 5.44/5.75 => ( p @ ( ap @ ( ap @ V1tc_27 @ V7x ) @ V8y ) ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Etc__closure,axiom,
% 5.44/5.75 ! [A_27a: del,V0r: $i] :
% 5.44/5.75 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V1s: $i] :
% 5.44/5.75 ( ( mem @ V1s @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ V0r ) @ ( ap @ ( c_2Eset__relation_2Etc @ A_27a ) @ V1s ) ) )
% 5.44/5.75 => ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( c_2Eset__relation_2Etc @ A_27a ) @ V0r ) ) @ ( ap @ ( c_2Eset__relation_2Etc @ A_27a ) @ V1s ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Esubset__tc,axiom,
% 5.44/5.75 ! [A_27a: del,V0r: $i] :
% 5.44/5.75 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ V0r ) @ ( ap @ ( c_2Eset__relation_2Etc @ A_27a ) @ V0r ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Etc__idemp,axiom,
% 5.44/5.75 ! [A_27a: del,V0r: $i] :
% 5.44/5.75 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ( ( ap @ ( c_2Eset__relation_2Etc @ A_27a ) @ ( ap @ ( c_2Eset__relation_2Etc @ A_27a ) @ V0r ) )
% 5.44/5.75 = ( ap @ ( c_2Eset__relation_2Etc @ A_27a ) @ V0r ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Etc__mono,axiom,
% 5.44/5.75 ! [A_27a: del,V0r: $i] :
% 5.44/5.75 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V1s: $i] :
% 5.44/5.75 ( ( mem @ V1s @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ V0r ) @ V1s ) )
% 5.44/5.75 => ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( c_2Eset__relation_2Etc @ A_27a ) @ V0r ) ) @ ( ap @ ( c_2Eset__relation_2Etc @ A_27a ) @ V1s ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Etc__strongind,axiom,
% 5.44/5.75 ! [A_27a: del,V0r: $i] :
% 5.44/5.75 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V1tc_27: $i] :
% 5.44/5.75 ( ( mem @ V1tc_27 @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.75 => ( ( ! [V2x: $i] :
% 5.44/5.75 ( ( mem @ V2x @ A_27a )
% 5.44/5.75 => ! [V3y: $i] :
% 5.44/5.75 ( ( mem @ V3y @ A_27a )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V2x ) @ V3y ) ) @ V0r ) )
% 5.44/5.75 => ( p @ ( ap @ ( ap @ V1tc_27 @ V2x ) @ V3y ) ) ) ) )
% 5.44/5.75 & ! [V4x: $i] :
% 5.44/5.75 ( ( mem @ V4x @ A_27a )
% 5.44/5.75 => ! [V5y: $i] :
% 5.44/5.75 ( ( mem @ V5y @ A_27a )
% 5.44/5.75 => ( ? [V6z: $i] :
% 5.44/5.75 ( ( mem @ V6z @ A_27a )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V4x ) @ V6z ) ) @ ( ap @ ( c_2Eset__relation_2Etc @ A_27a ) @ V0r ) ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ V1tc_27 @ V4x ) @ V6z ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V6z ) @ V5y ) ) @ ( ap @ ( c_2Eset__relation_2Etc @ A_27a ) @ V0r ) ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ V1tc_27 @ V6z ) @ V5y ) ) )
% 5.44/5.75 => ( p @ ( ap @ ( ap @ V1tc_27 @ V4x ) @ V5y ) ) ) ) ) )
% 5.44/5.75 => ! [V7x: $i] :
% 5.44/5.75 ( ( mem @ V7x @ A_27a )
% 5.44/5.75 => ! [V8y: $i] :
% 5.44/5.75 ( ( mem @ V8y @ A_27a )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V7x ) @ V8y ) ) @ ( ap @ ( c_2Eset__relation_2Etc @ A_27a ) @ V0r ) ) )
% 5.44/5.75 => ( p @ ( ap @ ( ap @ V1tc_27 @ V7x ) @ V8y ) ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Etc__cases__right,axiom,
% 5.44/5.75 ! [A_27a: del,V0r: $i] :
% 5.44/5.75 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V1x: $i] :
% 5.44/5.75 ( ( mem @ V1x @ A_27a )
% 5.44/5.75 => ! [V2y: $i] :
% 5.44/5.75 ( ( mem @ V2y @ A_27a )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V1x ) @ V2y ) ) @ ( ap @ ( c_2Eset__relation_2Etc @ A_27a ) @ V0r ) ) )
% 5.44/5.75 <=> ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V1x ) @ V2y ) ) @ V0r ) )
% 5.44/5.75 | ? [V3z: $i] :
% 5.44/5.75 ( ( mem @ V3z @ A_27a )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V1x ) @ V3z ) ) @ ( ap @ ( c_2Eset__relation_2Etc @ A_27a ) @ V0r ) ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V3z ) @ V2y ) ) @ V0r ) ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Etc__cases__left,axiom,
% 5.44/5.75 ! [A_27a: del,V0r: $i] :
% 5.44/5.75 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V1x: $i] :
% 5.44/5.75 ( ( mem @ V1x @ A_27a )
% 5.44/5.75 => ! [V2y: $i] :
% 5.44/5.75 ( ( mem @ V2y @ A_27a )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V1x ) @ V2y ) ) @ ( ap @ ( c_2Eset__relation_2Etc @ A_27a ) @ V0r ) ) )
% 5.44/5.75 <=> ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V1x ) @ V2y ) ) @ V0r ) )
% 5.44/5.75 | ? [V3z: $i] :
% 5.44/5.75 ( ( mem @ V3z @ A_27a )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V1x ) @ V3z ) ) @ V0r ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V3z ) @ V2y ) ) @ ( ap @ ( c_2Eset__relation_2Etc @ A_27a ) @ V0r ) ) ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Etc__ind__left,axiom,
% 5.44/5.75 ! [A_27a: del,V0r: $i] :
% 5.44/5.75 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V1tc_27: $i] :
% 5.44/5.75 ( ( mem @ V1tc_27 @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.75 => ( ( ! [V2x: $i] :
% 5.44/5.75 ( ( mem @ V2x @ A_27a )
% 5.44/5.75 => ! [V3y: $i] :
% 5.44/5.75 ( ( mem @ V3y @ A_27a )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V2x ) @ V3y ) ) @ V0r ) )
% 5.44/5.75 => ( p @ ( ap @ ( ap @ V1tc_27 @ V2x ) @ V3y ) ) ) ) )
% 5.44/5.75 & ! [V4x: $i] :
% 5.44/5.75 ( ( mem @ V4x @ A_27a )
% 5.44/5.75 => ! [V5y: $i] :
% 5.44/5.75 ( ( mem @ V5y @ A_27a )
% 5.44/5.75 => ( ? [V6z: $i] :
% 5.44/5.75 ( ( mem @ V6z @ A_27a )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V4x ) @ V6z ) ) @ V0r ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ V1tc_27 @ V6z ) @ V5y ) ) )
% 5.44/5.75 => ( p @ ( ap @ ( ap @ V1tc_27 @ V4x ) @ V5y ) ) ) ) ) )
% 5.44/5.75 => ! [V7x: $i] :
% 5.44/5.75 ( ( mem @ V7x @ A_27a )
% 5.44/5.75 => ! [V8y: $i] :
% 5.44/5.75 ( ( mem @ V8y @ A_27a )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V7x ) @ V8y ) ) @ ( ap @ ( c_2Eset__relation_2Etc @ A_27a ) @ V0r ) ) )
% 5.44/5.75 => ( p @ ( ap @ ( ap @ V1tc_27 @ V7x ) @ V8y ) ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Etc__strongind__left,axiom,
% 5.44/5.75 ! [A_27a: del,V0r: $i] :
% 5.44/5.75 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V1tc_27: $i] :
% 5.44/5.75 ( ( mem @ V1tc_27 @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.75 => ( ( ! [V2x: $i] :
% 5.44/5.75 ( ( mem @ V2x @ A_27a )
% 5.44/5.75 => ! [V3y: $i] :
% 5.44/5.75 ( ( mem @ V3y @ A_27a )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V2x ) @ V3y ) ) @ V0r ) )
% 5.44/5.75 => ( p @ ( ap @ ( ap @ V1tc_27 @ V2x ) @ V3y ) ) ) ) )
% 5.44/5.75 & ! [V4x: $i] :
% 5.44/5.75 ( ( mem @ V4x @ A_27a )
% 5.44/5.75 => ! [V5y: $i] :
% 5.44/5.75 ( ( mem @ V5y @ A_27a )
% 5.44/5.75 => ( ? [V6z: $i] :
% 5.44/5.75 ( ( mem @ V6z @ A_27a )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V4x ) @ V6z ) ) @ V0r ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V6z ) @ V5y ) ) @ ( ap @ ( c_2Eset__relation_2Etc @ A_27a ) @ V0r ) ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ V1tc_27 @ V6z ) @ V5y ) ) )
% 5.44/5.75 => ( p @ ( ap @ ( ap @ V1tc_27 @ V4x ) @ V5y ) ) ) ) ) )
% 5.44/5.75 => ! [V7x: $i] :
% 5.44/5.75 ( ( mem @ V7x @ A_27a )
% 5.44/5.75 => ! [V8y: $i] :
% 5.44/5.75 ( ( mem @ V8y @ A_27a )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V7x ) @ V8y ) ) @ ( ap @ ( c_2Eset__relation_2Etc @ A_27a ) @ V0r ) ) )
% 5.44/5.75 => ( p @ ( ap @ ( ap @ V1tc_27 @ V7x ) @ V8y ) ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Etc__ind__right,axiom,
% 5.44/5.75 ! [A_27a: del,V0r: $i] :
% 5.44/5.75 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V1tc_27: $i] :
% 5.44/5.75 ( ( mem @ V1tc_27 @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.75 => ( ( ! [V2x: $i] :
% 5.44/5.75 ( ( mem @ V2x @ A_27a )
% 5.44/5.75 => ! [V3y: $i] :
% 5.44/5.75 ( ( mem @ V3y @ A_27a )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V2x ) @ V3y ) ) @ V0r ) )
% 5.44/5.75 => ( p @ ( ap @ ( ap @ V1tc_27 @ V2x ) @ V3y ) ) ) ) )
% 5.44/5.75 & ! [V4x: $i] :
% 5.44/5.75 ( ( mem @ V4x @ A_27a )
% 5.44/5.75 => ! [V5y: $i] :
% 5.44/5.75 ( ( mem @ V5y @ A_27a )
% 5.44/5.75 => ( ? [V6z: $i] :
% 5.44/5.75 ( ( mem @ V6z @ A_27a )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ V1tc_27 @ V4x ) @ V6z ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V6z ) @ V5y ) ) @ V0r ) ) )
% 5.44/5.75 => ( p @ ( ap @ ( ap @ V1tc_27 @ V4x ) @ V5y ) ) ) ) ) )
% 5.44/5.75 => ! [V7x: $i] :
% 5.44/5.75 ( ( mem @ V7x @ A_27a )
% 5.44/5.75 => ! [V8y: $i] :
% 5.44/5.75 ( ( mem @ V8y @ A_27a )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V7x ) @ V8y ) ) @ ( ap @ ( c_2Eset__relation_2Etc @ A_27a ) @ V0r ) ) )
% 5.44/5.75 => ( p @ ( ap @ ( ap @ V1tc_27 @ V7x ) @ V8y ) ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Ertc__ind__right,axiom,
% 5.44/5.75 ! [A_27a: del,V0r: $i] :
% 5.44/5.75 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V1tc_27: $i] :
% 5.44/5.75 ( ( mem @ V1tc_27 @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.75 => ( ( ! [V2x: $i] :
% 5.44/5.75 ( ( mem @ V2x @ A_27a )
% 5.44/5.75 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ ( ap @ ( c_2Eset__relation_2Edomain @ A_27a @ A_27a ) @ V0r ) ) )
% 5.44/5.75 | ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ ( ap @ ( c_2Eset__relation_2Erange @ A_27a @ A_27a ) @ V0r ) ) ) )
% 5.44/5.75 => ( p @ ( ap @ ( ap @ V1tc_27 @ V2x ) @ V2x ) ) ) )
% 5.44/5.75 & ! [V3x: $i] :
% 5.44/5.75 ( ( mem @ V3x @ A_27a )
% 5.44/5.75 => ! [V4y: $i] :
% 5.44/5.75 ( ( mem @ V4y @ A_27a )
% 5.44/5.75 => ( ? [V5z: $i] :
% 5.44/5.75 ( ( mem @ V5z @ A_27a )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ V1tc_27 @ V3x ) @ V5z ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V5z ) @ V4y ) ) @ V0r ) ) )
% 5.44/5.75 => ( p @ ( ap @ ( ap @ V1tc_27 @ V3x ) @ V4y ) ) ) ) ) )
% 5.44/5.75 => ! [V6x: $i] :
% 5.44/5.75 ( ( mem @ V6x @ A_27a )
% 5.44/5.75 => ! [V7y: $i] :
% 5.44/5.75 ( ( mem @ V7y @ A_27a )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V6x ) @ V7y ) ) @ ( ap @ ( c_2Eset__relation_2Etc @ A_27a ) @ V0r ) ) )
% 5.44/5.75 => ( p @ ( ap @ ( ap @ V1tc_27 @ V6x ) @ V7y ) ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Etc__strongind__right,axiom,
% 5.44/5.75 ! [A_27a: del,V0r: $i] :
% 5.44/5.75 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V1tc_27: $i] :
% 5.44/5.75 ( ( mem @ V1tc_27 @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.75 => ( ( ! [V2x: $i] :
% 5.44/5.75 ( ( mem @ V2x @ A_27a )
% 5.44/5.75 => ! [V3y: $i] :
% 5.44/5.75 ( ( mem @ V3y @ A_27a )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V2x ) @ V3y ) ) @ V0r ) )
% 5.44/5.75 => ( p @ ( ap @ ( ap @ V1tc_27 @ V2x ) @ V3y ) ) ) ) )
% 5.44/5.75 & ! [V4x: $i] :
% 5.44/5.75 ( ( mem @ V4x @ A_27a )
% 5.44/5.75 => ! [V5y: $i] :
% 5.44/5.75 ( ( mem @ V5y @ A_27a )
% 5.44/5.75 => ( ? [V6z: $i] :
% 5.44/5.75 ( ( mem @ V6z @ A_27a )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V4x ) @ V6z ) ) @ ( ap @ ( c_2Eset__relation_2Etc @ A_27a ) @ V0r ) ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ V1tc_27 @ V4x ) @ V6z ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V6z ) @ V5y ) ) @ V0r ) ) )
% 5.44/5.75 => ( p @ ( ap @ ( ap @ V1tc_27 @ V4x ) @ V5y ) ) ) ) ) )
% 5.44/5.75 => ! [V7x: $i] :
% 5.44/5.75 ( ( mem @ V7x @ A_27a )
% 5.44/5.75 => ! [V8y: $i] :
% 5.44/5.75 ( ( mem @ V8y @ A_27a )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V7x ) @ V8y ) ) @ ( ap @ ( c_2Eset__relation_2Etc @ A_27a ) @ V0r ) ) )
% 5.44/5.75 => ( p @ ( ap @ ( ap @ V1tc_27 @ V7x ) @ V8y ) ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Etc__union,axiom,
% 5.44/5.75 ! [A_27a: del,V0r1: $i] :
% 5.44/5.75 ( ( mem @ V0r1 @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V1x: $i] :
% 5.44/5.75 ( ( mem @ V1x @ A_27a )
% 5.44/5.75 => ! [V2y: $i] :
% 5.44/5.75 ( ( mem @ V2y @ A_27a )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V1x ) @ V2y ) ) @ ( ap @ ( c_2Eset__relation_2Etc @ A_27a ) @ V0r1 ) ) )
% 5.44/5.75 => ! [V3r2: $i] :
% 5.44/5.75 ( ( mem @ V3r2 @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V1x ) @ V2y ) ) @ ( ap @ ( c_2Eset__relation_2Etc @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ V0r1 ) @ V3r2 ) ) ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Etc__implication,axiom,
% 5.44/5.75 ! [A_27a: del,V0r1: $i] :
% 5.44/5.75 ( ( mem @ V0r1 @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V1r2: $i] :
% 5.44/5.75 ( ( mem @ V1r2 @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ( ! [V2x: $i] :
% 5.44/5.75 ( ( mem @ V2x @ A_27a )
% 5.44/5.75 => ! [V3y: $i] :
% 5.44/5.75 ( ( mem @ V3y @ A_27a )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V2x ) @ V3y ) ) @ V0r1 ) )
% 5.44/5.75 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V2x ) @ V3y ) ) @ V1r2 ) ) ) ) )
% 5.44/5.75 => ! [V4x: $i] :
% 5.44/5.75 ( ( mem @ V4x @ A_27a )
% 5.44/5.75 => ! [V5y: $i] :
% 5.44/5.75 ( ( mem @ V5y @ A_27a )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V4x ) @ V5y ) ) @ ( ap @ ( c_2Eset__relation_2Etc @ A_27a ) @ V0r1 ) ) )
% 5.44/5.75 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V4x ) @ V5y ) ) @ ( ap @ ( c_2Eset__relation_2Etc @ A_27a ) @ V1r2 ) ) ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Etc__empty,axiom,
% 5.44/5.75 ! [A_27a: del,V0x: $i] :
% 5.44/5.75 ( ( mem @ V0x @ A_27a )
% 5.44/5.75 => ! [V1y: $i] :
% 5.44/5.75 ( ( mem @ V1y @ A_27a )
% 5.44/5.75 => ~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V0x ) @ V1y ) ) @ ( ap @ ( c_2Eset__relation_2Etc @ A_27a ) @ ( c_2Epred__set_2EEMPTY @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Etc__empty__eqn,axiom,
% 5.44/5.75 ! [A_27a: del] :
% 5.44/5.75 ( ( ap @ ( c_2Eset__relation_2Etc @ A_27a ) @ ( c_2Epred__set_2EEMPTY @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) )
% 5.44/5.75 = ( c_2Epred__set_2EEMPTY @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Etc__domain__range,axiom,
% 5.44/5.75 ! [A_27a: del,V0r: $i] :
% 5.44/5.75 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V1x: $i] :
% 5.44/5.75 ( ( mem @ V1x @ A_27a )
% 5.44/5.75 => ! [V2y: $i] :
% 5.44/5.75 ( ( mem @ V2y @ A_27a )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V1x ) @ V2y ) ) @ ( ap @ ( c_2Eset__relation_2Etc @ A_27a ) @ V0r ) ) )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V1x ) @ ( ap @ ( c_2Eset__relation_2Edomain @ A_27a @ A_27a ) @ V0r ) ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2y ) @ ( ap @ ( c_2Eset__relation_2Erange @ A_27a @ A_27a ) @ V0r ) ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Errestrict__tc,axiom,
% 5.44/5.75 ! [A_27a: del,V0r: $i] :
% 5.44/5.75 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V1x: $i] :
% 5.44/5.75 ( ( mem @ V1x @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ! [V2e: $i] :
% 5.44/5.75 ( ( mem @ V2e @ A_27a )
% 5.44/5.75 => ! [V3e_27: $i] :
% 5.44/5.75 ( ( mem @ V3e_27 @ A_27a )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V2e ) @ V3e_27 ) ) @ ( ap @ ( c_2Eset__relation_2Etc @ A_27a ) @ ( ap @ ( ap @ ( c_2Eset__relation_2Errestrict @ A_27a ) @ V0r ) @ V1x ) ) ) )
% 5.44/5.75 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V2e ) @ V3e_27 ) ) @ ( ap @ ( c_2Eset__relation_2Etc @ A_27a ) @ V0r ) ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Etc__SWAP,axiom,
% 5.44/5.75 ! [A_27a: del,V0r: $i] :
% 5.44/5.75 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ( ( ap @ ( c_2Eset__relation_2Etc @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( c_2Epair_2ESWAP @ A_27a @ A_27a ) ) @ V0r ) )
% 5.44/5.75 = ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( c_2Epair_2ESWAP @ A_27a @ A_27a ) ) @ ( ap @ ( c_2Eset__relation_2Etc @ A_27a ) @ V0r ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(ax_thm_2Eset__relation_2Eacyclic__def,axiom,
% 5.44/5.75 ! [A_27a: del,V0r: $i] :
% 5.44/5.75 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ( ( p @ ( ap @ ( c_2Eset__relation_2Eacyclic @ A_27a ) @ V0r ) )
% 5.44/5.75 <=> ! [V1x: $i] :
% 5.44/5.75 ( ( mem @ V1x @ A_27a )
% 5.44/5.75 => ~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V1x ) @ V1x ) ) @ ( ap @ ( c_2Eset__relation_2Etc @ A_27a ) @ V0r ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Eacyclic__subset,axiom,
% 5.44/5.75 ! [A_27a: del,V0r1: $i] :
% 5.44/5.75 ( ( mem @ V0r1 @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V1r2: $i] :
% 5.44/5.75 ( ( mem @ V1r2 @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ( ( ( p @ ( ap @ ( c_2Eset__relation_2Eacyclic @ A_27a ) @ V0r1 ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ V1r2 ) @ V0r1 ) ) )
% 5.44/5.75 => ( p @ ( ap @ ( c_2Eset__relation_2Eacyclic @ A_27a ) @ V1r2 ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Eacyclic__rrestrict,axiom,
% 5.44/5.75 ! [A_27a: del,V0r: $i] :
% 5.44/5.75 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V1s: $i] :
% 5.44/5.75 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ( ( p @ ( ap @ ( c_2Eset__relation_2Eacyclic @ A_27a ) @ V0r ) )
% 5.44/5.75 => ( p @ ( ap @ ( c_2Eset__relation_2Eacyclic @ A_27a ) @ ( ap @ ( ap @ ( c_2Eset__relation_2Errestrict @ A_27a ) @ V0r ) @ V1s ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Eacyclic__irreflexive,axiom,
% 5.44/5.75 ! [A_27a: del,V0r: $i] :
% 5.44/5.75 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V1x: $i] :
% 5.44/5.75 ( ( mem @ V1x @ A_27a )
% 5.44/5.75 => ( ( p @ ( ap @ ( c_2Eset__relation_2Eacyclic @ A_27a ) @ V0r ) )
% 5.44/5.75 => ~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V1x ) @ V1x ) ) @ V0r ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Eacyclic__SWAP,axiom,
% 5.44/5.75 ! [A_27a: del,V0r: $i] :
% 5.44/5.75 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ( ( p @ ( ap @ ( c_2Eset__relation_2Eacyclic @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( c_2Epair_2ESWAP @ A_27a @ A_27a ) ) @ V0r ) ) )
% 5.44/5.75 <=> ( p @ ( ap @ ( c_2Eset__relation_2Eacyclic @ A_27a ) @ V0r ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Eacyclic__bigunion,axiom,
% 5.44/5.75 ! [A_27a: del,V0rs: $i] :
% 5.44/5.75 ( ( mem @ V0rs @ ( arr @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) @ bool ) )
% 5.44/5.75 => ( ( ! [V1r: $i] :
% 5.44/5.75 ( ( mem @ V1r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V2r_27: $i] :
% 5.44/5.75 ( ( mem @ V2r_27 @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) ) @ V1r ) @ V0rs ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) ) @ V2r_27 ) @ V0rs ) )
% 5.44/5.75 & ( V1r != V2r_27 ) )
% 5.44/5.75 => ( p @ ( ap @ ( ap @ ( c_2Epred__set_2EDISJOINT @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ ( ap @ ( c_2Eset__relation_2Edomain @ A_27a @ A_27a ) @ V1r ) ) @ ( ap @ ( c_2Eset__relation_2Erange @ A_27a @ A_27a ) @ V1r ) ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ ( ap @ ( c_2Eset__relation_2Edomain @ A_27a @ A_27a ) @ V2r_27 ) ) @ ( ap @ ( c_2Eset__relation_2Erange @ A_27a @ A_27a ) @ V2r_27 ) ) ) ) ) ) )
% 5.44/5.75 & ! [V3r: $i] :
% 5.44/5.75 ( ( mem @ V3r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) ) @ V3r ) @ V0rs ) )
% 5.44/5.75 => ( p @ ( ap @ ( c_2Eset__relation_2Eacyclic @ A_27a ) @ V3r ) ) ) ) )
% 5.44/5.75 => ( p @ ( ap @ ( c_2Eset__relation_2Eacyclic @ A_27a ) @ ( ap @ ( c_2Epred__set_2EBIGUNION @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ V0rs ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Eacyclic__union,axiom,
% 5.44/5.75 ! [A_27a: del,V0r: $i] :
% 5.44/5.75 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V1r_27: $i] :
% 5.44/5.75 ( ( mem @ V1r_27 @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ( ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2EDISJOINT @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ ( ap @ ( c_2Eset__relation_2Edomain @ A_27a @ A_27a ) @ V0r ) ) @ ( ap @ ( c_2Eset__relation_2Erange @ A_27a @ A_27a ) @ V0r ) ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ ( ap @ ( c_2Eset__relation_2Edomain @ A_27a @ A_27a ) @ V1r_27 ) ) @ ( ap @ ( c_2Eset__relation_2Erange @ A_27a @ A_27a ) @ V1r_27 ) ) ) )
% 5.44/5.75 & ( p @ ( ap @ ( c_2Eset__relation_2Eacyclic @ A_27a ) @ V0r ) )
% 5.44/5.75 & ( p @ ( ap @ ( c_2Eset__relation_2Eacyclic @ A_27a ) @ V1r_27 ) ) )
% 5.44/5.75 => ( p @ ( ap @ ( c_2Eset__relation_2Eacyclic @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ V0r ) @ V1r_27 ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(ax_thm_2Eset__relation_2Ereflexive__def,axiom,
% 5.44/5.75 ! [A_27a: del,V0r: $i] :
% 5.44/5.75 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V1s: $i] :
% 5.44/5.75 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Ereflexive @ A_27a ) @ V0r ) @ V1s ) )
% 5.44/5.75 <=> ! [V2x: $i] :
% 5.44/5.75 ( ( mem @ V2x @ A_27a )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V1s ) )
% 5.44/5.75 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V2x ) @ V2x ) ) @ V0r ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(ax_thm_2Eset__relation_2Eirreflexive__def,axiom,
% 5.44/5.75 ! [A_27a: del,V0r: $i] :
% 5.44/5.75 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V1s: $i] :
% 5.44/5.75 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Eirreflexive @ A_27a ) @ V0r ) @ V1s ) )
% 5.44/5.75 <=> ! [V2x: $i] :
% 5.44/5.75 ( ( mem @ V2x @ A_27a )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V1s ) )
% 5.44/5.75 => ~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V2x ) @ V2x ) ) @ V0r ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(ax_thm_2Eset__relation_2Etransitive__def,axiom,
% 5.44/5.75 ! [A_27a: del,V0r: $i] :
% 5.44/5.75 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ( ( p @ ( ap @ ( c_2Eset__relation_2Etransitive @ A_27a ) @ V0r ) )
% 5.44/5.75 <=> ! [V1x: $i] :
% 5.44/5.75 ( ( mem @ V1x @ A_27a )
% 5.44/5.75 => ! [V2y: $i] :
% 5.44/5.75 ( ( mem @ V2y @ A_27a )
% 5.44/5.75 => ! [V3z: $i] :
% 5.44/5.75 ( ( mem @ V3z @ A_27a )
% 5.44/5.75 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V1x ) @ V2y ) ) @ V0r ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V2y ) @ V3z ) ) @ V0r ) ) )
% 5.44/5.75 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V1x ) @ V3z ) ) @ V0r ) ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Etransitive__tc,axiom,
% 5.44/5.75 ! [A_27a: del,V0r: $i] :
% 5.44/5.75 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ( ( p @ ( ap @ ( c_2Eset__relation_2Etransitive @ A_27a ) @ V0r ) )
% 5.44/5.75 => ( ( ap @ ( c_2Eset__relation_2Etc @ A_27a ) @ V0r )
% 5.44/5.75 = V0r ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Etc__transitive,axiom,
% 5.44/5.75 ! [A_27a: del,V0r: $i] :
% 5.44/5.75 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ( p @ ( ap @ ( c_2Eset__relation_2Etransitive @ A_27a ) @ ( ap @ ( c_2Eset__relation_2Etc @ A_27a ) @ V0r ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(ax_thm_2Eset__relation_2Eantisym__def,axiom,
% 5.44/5.75 ! [A_27a: del,V0r: $i] :
% 5.44/5.75 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ( ( p @ ( ap @ ( c_2Eset__relation_2Eantisym @ A_27a ) @ V0r ) )
% 5.44/5.75 <=> ! [V1x: $i] :
% 5.44/5.75 ( ( mem @ V1x @ A_27a )
% 5.44/5.75 => ! [V2y: $i] :
% 5.44/5.75 ( ( mem @ V2y @ A_27a )
% 5.44/5.75 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V1x ) @ V2y ) ) @ V0r ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V2y ) @ V1x ) ) @ V0r ) ) )
% 5.44/5.75 => ( V1x = V2y ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(ax_thm_2Eset__relation_2Epartial__order__def,axiom,
% 5.44/5.75 ! [A_27a: del,V0r: $i] :
% 5.44/5.75 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V1s: $i] :
% 5.44/5.75 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Epartial__order @ A_27a ) @ V0r ) @ V1s ) )
% 5.44/5.75 <=> ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ ( ap @ ( c_2Eset__relation_2Edomain @ A_27a @ A_27a ) @ V0r ) ) @ V1s ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ ( ap @ ( c_2Eset__relation_2Erange @ A_27a @ A_27a ) @ V0r ) ) @ V1s ) )
% 5.44/5.75 & ( p @ ( ap @ ( c_2Eset__relation_2Etransitive @ A_27a ) @ V0r ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Ereflexive @ A_27a ) @ V0r ) @ V1s ) )
% 5.44/5.75 & ( p @ ( ap @ ( c_2Eset__relation_2Eantisym @ A_27a ) @ V0r ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Eantisym__subset,axiom,
% 5.44/5.75 ! [A_27a: del,V0t: $i] :
% 5.44/5.75 ( ( mem @ V0t @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V1s: $i] :
% 5.44/5.75 ( ( mem @ V1s @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ( ( p @ ( ap @ ( c_2Eset__relation_2Eantisym @ A_27a ) @ V0t ) )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ V1s ) @ V0t ) )
% 5.44/5.75 => ( p @ ( ap @ ( c_2Eset__relation_2Eantisym @ A_27a ) @ V1s ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Epartial__order__dom__rng,axiom,
% 5.44/5.75 ! [A_27a: del,V0r: $i] :
% 5.44/5.75 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V1s: $i] :
% 5.44/5.75 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ! [V2x: $i] :
% 5.44/5.75 ( ( mem @ V2x @ A_27a )
% 5.44/5.75 => ! [V3y: $i] :
% 5.44/5.75 ( ( mem @ V3y @ A_27a )
% 5.44/5.75 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V2x ) @ V3y ) ) @ V0r ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Epartial__order @ A_27a ) @ V0r ) @ V1s ) ) )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V1s ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3y ) @ V1s ) ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Epartial__order__subset,axiom,
% 5.44/5.75 ! [A_27a: del,V0r: $i] :
% 5.44/5.75 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V1s: $i] :
% 5.44/5.75 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ! [V2s_27: $i] :
% 5.44/5.75 ( ( mem @ V2s_27 @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ( ( ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Epartial__order @ A_27a ) @ V0r ) @ V1s ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V2s_27 ) @ V1s ) ) )
% 5.44/5.75 => ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Epartial__order @ A_27a ) @ ( ap @ ( ap @ ( c_2Eset__relation_2Errestrict @ A_27a ) @ V0r ) @ V2s_27 ) ) @ V2s_27 ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Estrict__partial__order,axiom,
% 5.44/5.75 ! [A_27a: del,V0r: $i] :
% 5.44/5.75 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V1s: $i] :
% 5.44/5.75 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Epartial__order @ A_27a ) @ V0r ) @ V1s ) )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ ( ap @ ( c_2Eset__relation_2Edomain @ A_27a @ A_27a ) @ ( ap @ ( c_2Eset__relation_2Estrict @ A_27a ) @ V0r ) ) ) @ V1s ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ ( ap @ ( c_2Eset__relation_2Erange @ A_27a @ A_27a ) @ ( ap @ ( c_2Eset__relation_2Estrict @ A_27a ) @ V0r ) ) ) @ V1s ) )
% 5.44/5.75 & ( p @ ( ap @ ( c_2Eset__relation_2Etransitive @ A_27a ) @ ( ap @ ( c_2Eset__relation_2Estrict @ A_27a ) @ V0r ) ) )
% 5.44/5.75 & ( p @ ( ap @ ( c_2Eset__relation_2Eantisym @ A_27a ) @ ( ap @ ( c_2Eset__relation_2Estrict @ A_27a ) @ V0r ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Estrict__partial__order__acyclic,axiom,
% 5.44/5.75 ! [A_27a: del,V0r: $i] :
% 5.44/5.75 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V1s: $i] :
% 5.44/5.75 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Epartial__order @ A_27a ) @ V0r ) @ V1s ) )
% 5.44/5.75 => ( p @ ( ap @ ( c_2Eset__relation_2Eacyclic @ A_27a ) @ ( ap @ ( c_2Eset__relation_2Estrict @ A_27a ) @ V0r ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(ax_thm_2Eset__relation_2Elinear__order__def,axiom,
% 5.44/5.75 ! [A_27a: del,V0r: $i] :
% 5.44/5.75 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V1s: $i] :
% 5.44/5.75 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Elinear__order @ A_27a ) @ V0r ) @ V1s ) )
% 5.44/5.75 <=> ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ ( ap @ ( c_2Eset__relation_2Edomain @ A_27a @ A_27a ) @ V0r ) ) @ V1s ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ ( ap @ ( c_2Eset__relation_2Erange @ A_27a @ A_27a ) @ V0r ) ) @ V1s ) )
% 5.44/5.75 & ( p @ ( ap @ ( c_2Eset__relation_2Etransitive @ A_27a ) @ V0r ) )
% 5.44/5.75 & ( p @ ( ap @ ( c_2Eset__relation_2Eantisym @ A_27a ) @ V0r ) )
% 5.44/5.75 & ! [V2x: $i] :
% 5.44/5.75 ( ( mem @ V2x @ A_27a )
% 5.44/5.75 => ! [V3y: $i] :
% 5.44/5.75 ( ( mem @ V3y @ A_27a )
% 5.44/5.75 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V1s ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3y ) @ V1s ) ) )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V2x ) @ V3y ) ) @ V0r ) )
% 5.44/5.75 | ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V3y ) @ V2x ) ) @ V0r ) ) ) ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Elinear__order__subset,axiom,
% 5.44/5.75 ! [A_27a: del,V0r: $i] :
% 5.44/5.75 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V1s: $i] :
% 5.44/5.75 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ! [V2s_27: $i] :
% 5.44/5.75 ( ( mem @ V2s_27 @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ( ( ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Elinear__order @ A_27a ) @ V0r ) @ V1s ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V2s_27 ) @ V1s ) ) )
% 5.44/5.75 => ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Elinear__order @ A_27a ) @ ( ap @ ( ap @ ( c_2Eset__relation_2Errestrict @ A_27a ) @ V0r ) @ V2s_27 ) ) @ V2s_27 ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Epartial__order__linear__order,axiom,
% 5.44/5.75 ! [A_27a: del,V0r: $i] :
% 5.44/5.75 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V1s: $i] :
% 5.44/5.75 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Elinear__order @ A_27a ) @ V0r ) @ V1s ) )
% 5.44/5.75 => ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Epartial__order @ A_27a ) @ V0r ) @ V1s ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(ax_thm_2Eset__relation_2Estrict__linear__order__def,axiom,
% 5.44/5.75 ! [A_27a: del,V0r: $i] :
% 5.44/5.75 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V1s: $i] :
% 5.44/5.75 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Estrict__linear__order @ A_27a ) @ V0r ) @ V1s ) )
% 5.44/5.75 <=> ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ ( ap @ ( c_2Eset__relation_2Edomain @ A_27a @ A_27a ) @ V0r ) ) @ V1s ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ ( ap @ ( c_2Eset__relation_2Erange @ A_27a @ A_27a ) @ V0r ) ) @ V1s ) )
% 5.44/5.75 & ( p @ ( ap @ ( c_2Eset__relation_2Etransitive @ A_27a ) @ V0r ) )
% 5.44/5.75 & ! [V2x: $i] :
% 5.44/5.75 ( ( mem @ V2x @ A_27a )
% 5.44/5.75 => ~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V2x ) @ V2x ) ) @ V0r ) ) )
% 5.44/5.75 & ! [V3x: $i] :
% 5.44/5.75 ( ( mem @ V3x @ A_27a )
% 5.44/5.75 => ! [V4y: $i] :
% 5.44/5.75 ( ( mem @ V4y @ A_27a )
% 5.44/5.75 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3x ) @ V1s ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V4y ) @ V1s ) )
% 5.44/5.75 & ( V3x != V4y ) )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V3x ) @ V4y ) ) @ V0r ) )
% 5.44/5.75 | ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V4y ) @ V3x ) ) @ V0r ) ) ) ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Estrict__linear__order__dom__rng,axiom,
% 5.44/5.75 ! [A_27a: del,V0r: $i] :
% 5.44/5.75 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V1s: $i] :
% 5.44/5.75 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ! [V2x: $i] :
% 5.44/5.75 ( ( mem @ V2x @ A_27a )
% 5.44/5.75 => ! [V3y: $i] :
% 5.44/5.75 ( ( mem @ V3y @ A_27a )
% 5.44/5.75 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V2x ) @ V3y ) ) @ V0r ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Estrict__linear__order @ A_27a ) @ V0r ) @ V1s ) ) )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V1s ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3y ) @ V1s ) ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Elinear__order__dom__rng,axiom,
% 5.44/5.75 ! [A_27a: del,V0r: $i] :
% 5.44/5.75 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V1s: $i] :
% 5.44/5.75 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ! [V2x: $i] :
% 5.44/5.75 ( ( mem @ V2x @ A_27a )
% 5.44/5.75 => ! [V3y: $i] :
% 5.44/5.75 ( ( mem @ V3y @ A_27a )
% 5.44/5.75 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V2x ) @ V3y ) ) @ V0r ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Elinear__order @ A_27a ) @ V0r ) @ V1s ) ) )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V1s ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3y ) @ V1s ) ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(ax_thm_2Eset__relation_2Ereln__to__rel__def,axiom,
% 5.44/5.75 ! [A_27a: del,A_27b: del,V0r: $i] :
% 5.44/5.75 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ bool ) )
% 5.44/5.75 => ( ( ap @ ( c_2Eset__relation_2Ereln__to__rel @ A_27a @ A_27b ) @ V0r )
% 5.44/5.75 = ( lam @ A_27a
% 5.44/5.75 @ ^ [V1x: $i] :
% 5.44/5.75 ( lam @ A_27b
% 5.44/5.75 @ ^ [V2y: $i] : ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V1x ) @ V2y ) ) @ V0r ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(ax_thm_2Eset__relation_2Erel__to__reln__def,axiom,
% 5.44/5.75 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.44/5.75 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.75 => ( ( ap @ ( c_2Eset__relation_2Erel__to__reln @ A_27a @ A_27b ) @ V0R )
% 5.44/5.75 = ( ap @ ( c_2Epred__set_2EGSPEC @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) )
% 5.44/5.75 @ ( ap @ ( c_2Epair_2EUNCURRY @ A_27a @ A_27b @ ( ty_2Epair_2Eprod @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ bool ) )
% 5.44/5.75 @ ( lam @ A_27a
% 5.44/5.75 @ ^ [V1x: $i] :
% 5.44/5.75 ( lam @ A_27b
% 5.44/5.75 @ ^ [V2y: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ bool ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V1x ) @ V2y ) ) @ ( ap @ ( ap @ V0R @ V1x ) @ V2y ) ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(ax_thm_2Eset__relation_2ERRUNIV__def,axiom,
% 5.44/5.75 ! [A_27a: del,V0s: $i] :
% 5.44/5.75 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ( ( ap @ ( c_2Eset__relation_2ERRUNIV @ A_27a ) @ V0s )
% 5.44/5.75 = ( lam @ A_27a
% 5.44/5.75 @ ^ [V1x: $i] :
% 5.44/5.75 ( lam @ A_27a
% 5.44/5.75 @ ^ [V2y: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V1x ) @ V0s ) ) @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2y ) @ V0s ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(ax_thm_2Eset__relation_2ERREFL__EXP__def,axiom,
% 5.44/5.75 ! [A_27a: del,V0R: $i] :
% 5.44/5.75 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.75 => ! [V1s: $i] :
% 5.44/5.75 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ( ( ap @ ( ap @ ( c_2Eset__relation_2ERREFL__EXP @ A_27a ) @ V0R ) @ V1s )
% 5.44/5.75 = ( ap @ ( ap @ ( c_2Erelation_2ERUNION @ A_27a @ A_27a ) @ V0R )
% 5.44/5.75 @ ( lam @ A_27a
% 5.44/5.75 @ ^ [V2x: $i] :
% 5.44/5.75 ( lam @ A_27a
% 5.44/5.75 @ ^ [V3y: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V2x ) @ V3y ) ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V1s ) ) ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2ERREFL__EXP__RSUBSET,axiom,
% 5.44/5.75 ! [A_27a: del,V0R: $i] :
% 5.44/5.75 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.75 => ! [V1s: $i] :
% 5.44/5.75 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ( p @ ( ap @ ( ap @ ( c_2Erelation_2ERSUBSET @ A_27a @ A_27a ) @ V0R ) @ ( ap @ ( ap @ ( c_2Eset__relation_2ERREFL__EXP @ A_27a ) @ V0R ) @ V1s ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2ERREFL__EXP__UNIV,axiom,
% 5.44/5.75 ! [A_27a: del,V0R: $i] :
% 5.44/5.75 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.75 => ( ( ap @ ( ap @ ( c_2Eset__relation_2ERREFL__EXP @ A_27a ) @ V0R ) @ ( c_2Epred__set_2EUNIV @ A_27a ) )
% 5.44/5.75 = V0R ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2EREL__RESTRICT__UNIV,axiom,
% 5.44/5.75 ! [A_27a: del,V0R: $i] :
% 5.44/5.75 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.75 => ( ( ap @ ( ap @ ( c_2Epred__set_2EREL__RESTRICT @ A_27a ) @ V0R ) @ ( c_2Epred__set_2EUNIV @ A_27a ) )
% 5.44/5.75 = V0R ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Ein__rel__to__reln,axiom,
% 5.44/5.75 ! [A_27a: del,A_27b: del,V0xy: $i] :
% 5.44/5.75 ( ( mem @ V0xy @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) )
% 5.44/5.75 => ! [V1R: $i] :
% 5.44/5.75 ( ( mem @ V1R @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ V0xy ) @ ( ap @ ( c_2Eset__relation_2Erel__to__reln @ A_27a @ A_27b ) @ V1R ) ) )
% 5.44/5.75 <=> ( p @ ( ap @ ( ap @ V1R @ ( ap @ ( c_2Epair_2EFST @ A_27a @ A_27b ) @ V0xy ) ) @ ( ap @ ( c_2Epair_2ESND @ A_27a @ A_27b ) @ V0xy ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Ereln__to__rel__app,axiom,
% 5.44/5.75 ! [A_27a: del,A_27b: del,V0r: $i] :
% 5.44/5.75 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ bool ) )
% 5.44/5.75 => ! [V1x: $i] :
% 5.44/5.75 ( ( mem @ V1x @ A_27a )
% 5.44/5.75 => ! [V2y: $i] :
% 5.44/5.75 ( ( mem @ V2y @ A_27b )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Eset__relation_2Ereln__to__rel @ A_27a @ A_27b ) @ V0r ) @ V1x ) @ V2y ) )
% 5.44/5.75 <=> ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V1x ) @ V2y ) ) @ V0r ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Erel__to__reln__IS__UNCURRY,axiom,
% 5.44/5.75 ! [A_27a: del,A_27b: del] :
% 5.44/5.75 ( ( c_2Eset__relation_2Erel__to__reln @ A_27a @ A_27b )
% 5.44/5.75 = ( c_2Epair_2EUNCURRY @ A_27a @ A_27b @ bool ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Ereln__to__rel__IS__CURRY,axiom,
% 5.44/5.75 ! [A_27a: del,A_27b: del] :
% 5.44/5.75 ( ( c_2Eset__relation_2Ereln__to__rel @ A_27a @ A_27b )
% 5.44/5.75 = ( c_2Epair_2ECURRY @ A_27a @ A_27b @ bool ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Erel__to__reln__inv,axiom,
% 5.44/5.75 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.44/5.75 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.75 => ( ( ap @ ( c_2Eset__relation_2Ereln__to__rel @ A_27a @ A_27b ) @ ( ap @ ( c_2Eset__relation_2Erel__to__reln @ A_27a @ A_27b ) @ V0R ) )
% 5.44/5.75 = V0R ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Ereln__to__rel__inv,axiom,
% 5.44/5.75 ! [A_27a: del,A_27b: del,V0r: $i] :
% 5.44/5.75 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ bool ) )
% 5.44/5.75 => ( ( ap @ ( c_2Eset__relation_2Erel__to__reln @ A_27a @ A_27b ) @ ( ap @ ( c_2Eset__relation_2Ereln__to__rel @ A_27a @ A_27b ) @ V0r ) )
% 5.44/5.75 = V0r ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Ereln__to__rel__11,axiom,
% 5.44/5.75 ! [A_27a: del,A_27b: del,V0r1: $i] :
% 5.44/5.75 ( ( mem @ V0r1 @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ bool ) )
% 5.44/5.75 => ! [V1r2: $i] :
% 5.44/5.75 ( ( mem @ V1r2 @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ bool ) )
% 5.44/5.75 => ( ( ( ap @ ( c_2Eset__relation_2Ereln__to__rel @ A_27a @ A_27b ) @ V0r1 )
% 5.44/5.75 = ( ap @ ( c_2Eset__relation_2Ereln__to__rel @ A_27a @ A_27b ) @ V1r2 ) )
% 5.44/5.75 <=> ( V0r1 = V1r2 ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Erel__to__reln__11,axiom,
% 5.44/5.75 ! [A_27a: del,A_27b: del,V0R1: $i] :
% 5.44/5.75 ( ( mem @ V0R1 @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.75 => ! [V1R2: $i] :
% 5.44/5.75 ( ( mem @ V1R2 @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.75 => ( ( ( ap @ ( c_2Eset__relation_2Erel__to__reln @ A_27a @ A_27b ) @ V0R1 )
% 5.44/5.75 = ( ap @ ( c_2Eset__relation_2Erel__to__reln @ A_27a @ A_27b ) @ V1R2 ) )
% 5.44/5.75 <=> ( V0R1 = V1R2 ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Erel__to__reln__swap,axiom,
% 5.44/5.75 ! [A_27a: del,A_27b: del,V0r: $i] :
% 5.44/5.75 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ bool ) )
% 5.44/5.75 => ! [V1R: $i] :
% 5.44/5.75 ( ( mem @ V1R @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.75 => ( ( V0r
% 5.44/5.75 = ( ap @ ( c_2Eset__relation_2Erel__to__reln @ A_27a @ A_27b ) @ V1R ) )
% 5.44/5.75 <=> ( ( ap @ ( c_2Eset__relation_2Ereln__to__rel @ A_27a @ A_27b ) @ V0r )
% 5.44/5.75 = V1R ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Edomain__to__rel__conv,axiom,
% 5.44/5.75 ! [A_27a: del,A_27b: del,V0r: $i] :
% 5.44/5.75 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ bool ) )
% 5.44/5.75 => ( ( ap @ ( c_2Eset__relation_2Edomain @ A_27a @ A_27b ) @ V0r )
% 5.44/5.75 = ( ap @ ( c_2Erelation_2ERDOM @ A_27a @ A_27b ) @ ( ap @ ( c_2Eset__relation_2Ereln__to__rel @ A_27a @ A_27b ) @ V0r ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Erange__to__rel__conv,axiom,
% 5.44/5.75 ! [A_27a: del,A_27b: del,V0r: $i] :
% 5.44/5.75 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) @ bool ) )
% 5.44/5.75 => ( ( ap @ ( c_2Eset__relation_2Erange @ A_27a @ A_27b ) @ V0r )
% 5.44/5.75 = ( ap @ ( c_2Erelation_2ERRANGE @ A_27b @ A_27a ) @ ( ap @ ( c_2Eset__relation_2Ereln__to__rel @ A_27b @ A_27a ) @ V0r ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Estrict__to__rel__conv,axiom,
% 5.44/5.75 ! [A_27a: del,V0r: $i] :
% 5.44/5.75 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ( ( ap @ ( c_2Eset__relation_2Estrict @ A_27a ) @ V0r )
% 5.44/5.75 = ( ap @ ( c_2Eset__relation_2Erel__to__reln @ A_27a @ A_27a ) @ ( ap @ ( c_2Erelation_2ESTRORD @ A_27a ) @ ( ap @ ( c_2Eset__relation_2Ereln__to__rel @ A_27a @ A_27a ) @ V0r ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Errestrict__to__rel__conv,axiom,
% 5.44/5.75 ! [A_27a: del,V0r: $i] :
% 5.44/5.75 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V1s: $i] :
% 5.44/5.75 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ( ( ap @ ( ap @ ( c_2Eset__relation_2Errestrict @ A_27a ) @ V0r ) @ V1s )
% 5.44/5.75 = ( ap @ ( c_2Eset__relation_2Erel__to__reln @ A_27a @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EREL__RESTRICT @ A_27a ) @ ( ap @ ( c_2Eset__relation_2Ereln__to__rel @ A_27a @ A_27a ) @ V0r ) ) @ V1s ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Ercomp__to__rel__conv,axiom,
% 5.44/5.75 ! [A_27a: del,A_27b: del,A_27c: del,V0r1: $i] :
% 5.44/5.75 ( ( mem @ V0r1 @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27c ) @ bool ) )
% 5.44/5.75 => ! [V1r2: $i] :
% 5.44/5.75 ( ( mem @ V1r2 @ ( arr @ ( ty_2Epair_2Eprod @ A_27c @ A_27b ) @ bool ) )
% 5.44/5.75 => ( ( ap @ ( ap @ ( c_2Eset__relation_2Ercomp @ A_27a @ A_27b @ A_27c ) @ V0r1 ) @ V1r2 )
% 5.44/5.75 = ( ap @ ( c_2Eset__relation_2Erel__to__reln @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Erelation_2EO @ A_27a @ A_27c @ A_27b ) @ ( ap @ ( c_2Eset__relation_2Ereln__to__rel @ A_27c @ A_27b ) @ V1r2 ) ) @ ( ap @ ( c_2Eset__relation_2Ereln__to__rel @ A_27a @ A_27c ) @ V0r1 ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Euniv__reln__to__rel__conv,axiom,
% 5.44/5.75 ! [A_27a: del,V0s: $i] :
% 5.44/5.75 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ( ( ap @ ( c_2Eset__relation_2Euniv__reln @ A_27a ) @ V0s )
% 5.44/5.75 = ( ap @ ( c_2Eset__relation_2Erel__to__reln @ A_27a @ A_27a ) @ ( ap @ ( c_2Eset__relation_2ERRUNIV @ A_27a ) @ V0s ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Etc__to__rel__conv,axiom,
% 5.44/5.75 ! [A_27a: del,V0r: $i] :
% 5.44/5.75 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ( ( ap @ ( c_2Eset__relation_2Etc @ A_27a ) @ V0r )
% 5.44/5.75 = ( ap @ ( c_2Eset__relation_2Erel__to__reln @ A_27a @ A_27a ) @ ( ap @ ( c_2Erelation_2ETC @ A_27a ) @ ( ap @ ( c_2Eset__relation_2Ereln__to__rel @ A_27a @ A_27a ) @ V0r ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Eacyclic__reln__to__rel__conv,axiom,
% 5.44/5.75 ! [A_27a: del,V0r: $i] :
% 5.44/5.75 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ( ( p @ ( ap @ ( c_2Eset__relation_2Eacyclic @ A_27a ) @ V0r ) )
% 5.44/5.75 <=> ( p @ ( ap @ ( c_2Erelation_2Eirreflexive @ A_27a ) @ ( ap @ ( c_2Erelation_2ETC @ A_27a ) @ ( ap @ ( c_2Eset__relation_2Ereln__to__rel @ A_27a @ A_27a ) @ V0r ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Eirreflexive__reln__to__rel__conv,axiom,
% 5.44/5.75 ! [A_27a: del,V0r: $i] :
% 5.44/5.75 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V1s: $i] :
% 5.44/5.75 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Eirreflexive @ A_27a ) @ V0r ) @ V1s ) )
% 5.44/5.75 <=> ( p @ ( ap @ ( c_2Erelation_2Eirreflexive @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EREL__RESTRICT @ A_27a ) @ ( ap @ ( c_2Eset__relation_2Ereln__to__rel @ A_27a @ A_27a ) @ V0r ) ) @ V1s ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Eirreflexive__reln__to__rel__conv__UNIV,axiom,
% 5.44/5.75 ! [A_27a: del,V0r: $i] :
% 5.44/5.75 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Eirreflexive @ A_27a ) @ V0r ) @ ( c_2Epred__set_2EUNIV @ A_27a ) ) )
% 5.44/5.75 <=> ( p @ ( ap @ ( c_2Erelation_2Eirreflexive @ A_27a ) @ ( ap @ ( c_2Eset__relation_2Ereln__to__rel @ A_27a @ A_27a ) @ V0r ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Ereflexive__reln__to__rel__conv,axiom,
% 5.44/5.75 ! [A_27a: del,V0r: $i] :
% 5.44/5.75 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V1s: $i] :
% 5.44/5.75 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Ereflexive @ A_27a ) @ V0r ) @ V1s ) )
% 5.44/5.75 <=> ( p @ ( ap @ ( c_2Erelation_2Ereflexive @ A_27a ) @ ( ap @ ( ap @ ( c_2Eset__relation_2ERREFL__EXP @ A_27a ) @ ( ap @ ( c_2Eset__relation_2Ereln__to__rel @ A_27a @ A_27a ) @ V0r ) ) @ V1s ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Ereflexive__reln__to__rel__conv__UNIV,axiom,
% 5.44/5.75 ! [A_27a: del,V0r: $i] :
% 5.44/5.75 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Ereflexive @ A_27a ) @ V0r ) @ ( c_2Epred__set_2EUNIV @ A_27a ) ) )
% 5.44/5.75 <=> ( p @ ( ap @ ( c_2Erelation_2Ereflexive @ A_27a ) @ ( ap @ ( c_2Eset__relation_2Ereln__to__rel @ A_27a @ A_27a ) @ V0r ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Etransitive__reln__to__rel__conv,axiom,
% 5.44/5.75 ! [A_27a: del,V0r: $i] :
% 5.44/5.75 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ( ( p @ ( ap @ ( c_2Eset__relation_2Etransitive @ A_27a ) @ V0r ) )
% 5.44/5.75 <=> ( p @ ( ap @ ( c_2Erelation_2Etransitive @ A_27a ) @ ( ap @ ( c_2Eset__relation_2Ereln__to__rel @ A_27a @ A_27a ) @ V0r ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Eantisym__reln__to__rel__conv,axiom,
% 5.44/5.75 ! [A_27a: del,V0r: $i] :
% 5.44/5.75 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ( ( p @ ( ap @ ( c_2Eset__relation_2Eantisym @ A_27a ) @ V0r ) )
% 5.44/5.75 <=> ( p @ ( ap @ ( c_2Erelation_2Eantisymmetric @ A_27a ) @ ( ap @ ( c_2Eset__relation_2Ereln__to__rel @ A_27a @ A_27a ) @ V0r ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Epartial__order__reln__to__rel__conv,axiom,
% 5.44/5.75 ! [A_27a: del,V0r: $i] :
% 5.44/5.75 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V1s: $i] :
% 5.44/5.75 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Epartial__order @ A_27a ) @ V0r ) @ V1s ) )
% 5.44/5.75 <=> ( ( p @ ( ap @ ( ap @ ( c_2Erelation_2ERSUBSET @ A_27a @ A_27a ) @ ( ap @ ( c_2Eset__relation_2Ereln__to__rel @ A_27a @ A_27a ) @ V0r ) ) @ ( ap @ ( c_2Eset__relation_2ERRUNIV @ A_27a ) @ V1s ) ) )
% 5.44/5.75 & ( p @ ( ap @ ( c_2Erelation_2EWeakOrder @ A_27a ) @ ( ap @ ( ap @ ( c_2Eset__relation_2ERREFL__EXP @ A_27a ) @ ( ap @ ( c_2Eset__relation_2Ereln__to__rel @ A_27a @ A_27a ) @ V0r ) ) @ V1s ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Epartial__order__reln__to__rel__conv__UNIV,axiom,
% 5.44/5.75 ! [A_27a: del,V0r: $i] :
% 5.44/5.75 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Epartial__order @ A_27a ) @ V0r ) @ ( c_2Epred__set_2EUNIV @ A_27a ) ) )
% 5.44/5.75 <=> ( p @ ( ap @ ( c_2Erelation_2EWeakOrder @ A_27a ) @ ( ap @ ( c_2Eset__relation_2Ereln__to__rel @ A_27a @ A_27a ) @ V0r ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Elinear__order__reln__to__rel__conv__UNIV,axiom,
% 5.44/5.75 ! [A_27a: del,V0r: $i] :
% 5.44/5.75 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Elinear__order @ A_27a ) @ V0r ) @ ( c_2Epred__set_2EUNIV @ A_27a ) ) )
% 5.44/5.75 <=> ( p @ ( ap @ ( c_2Erelation_2EWeakLinearOrder @ A_27a ) @ ( ap @ ( c_2Eset__relation_2Ereln__to__rel @ A_27a @ A_27a ) @ V0r ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Estrict__linear__order__reln__to__rel__conv__UNIV,axiom,
% 5.44/5.75 ! [A_27a: del,V0r: $i] :
% 5.44/5.75 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Estrict__linear__order @ A_27a ) @ V0r ) @ ( c_2Epred__set_2EUNIV @ A_27a ) ) )
% 5.44/5.75 <=> ( p @ ( ap @ ( c_2Erelation_2EStrongLinearOrder @ A_27a ) @ ( ap @ ( c_2Eset__relation_2Ereln__to__rel @ A_27a @ A_27a ) @ V0r ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Ereln__rel__conv__thms,axiom,
% 5.44/5.75 ! [A_27a: del,A_27b: del,A_27c: del,V0xy: $i] :
% 5.44/5.75 ( ( mem @ V0xy @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) )
% 5.44/5.75 => ! [V1R: $i] :
% 5.44/5.75 ( ( mem @ V1R @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.75 => ! [V2r: $i] :
% 5.44/5.75 ( ( mem @ V2r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ bool ) )
% 5.44/5.75 => ! [V3x: $i] :
% 5.44/5.75 ( ( mem @ V3x @ A_27a )
% 5.44/5.75 => ! [V4y: $i] :
% 5.44/5.75 ( ( mem @ V4y @ A_27b )
% 5.44/5.75 => ! [V5r1: $i] :
% 5.44/5.75 ( ( mem @ V5r1 @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ bool ) )
% 5.44/5.75 => ! [V6r2: $i] :
% 5.44/5.75 ( ( mem @ V6r2 @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ bool ) )
% 5.44/5.75 => ! [V7R1: $i] :
% 5.44/5.75 ( ( mem @ V7R1 @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.75 => ! [V8R2: $i] :
% 5.44/5.75 ( ( mem @ V8R2 @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.44/5.75 => ! [V9R: $i] :
% 5.44/5.75 ( ( mem @ V9R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.44/5.75 => ! [V10r: $i] :
% 5.44/5.75 ( ( mem @ V10r @ ( arr @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V11r: $i] :
% 5.44/5.75 ( ( mem @ V11r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V12s: $i] :
% 5.44/5.75 ( ( mem @ V12s @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ! [V13r1: $i] :
% 5.44/5.75 ( ( mem @ V13r1 @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27c ) @ bool ) )
% 5.44/5.75 => ! [V14r2: $i] :
% 5.44/5.75 ( ( mem @ V14r2 @ ( arr @ ( ty_2Epair_2Eprod @ A_27c @ A_27b ) @ bool ) )
% 5.44/5.75 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ V0xy ) @ ( ap @ ( c_2Eset__relation_2Erel__to__reln @ A_27a @ A_27b ) @ V1R ) ) )
% 5.44/5.75 <=> ( p @ ( ap @ ( ap @ V1R @ ( ap @ ( c_2Epair_2EFST @ A_27a @ A_27b ) @ V0xy ) ) @ ( ap @ ( c_2Epair_2ESND @ A_27a @ A_27b ) @ V0xy ) ) ) )
% 5.44/5.75 & ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Eset__relation_2Ereln__to__rel @ A_27a @ A_27b ) @ V2r ) @ V3x ) @ V4y ) )
% 5.44/5.75 <=> ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V3x ) @ V4y ) ) @ V2r ) ) )
% 5.44/5.75 & ( ( ap @ ( c_2Eset__relation_2Ereln__to__rel @ A_27a @ A_27b ) @ ( ap @ ( c_2Eset__relation_2Erel__to__reln @ A_27a @ A_27b ) @ V1R ) )
% 5.44/5.75 = V1R )
% 5.44/5.75 & ( ( ap @ ( c_2Eset__relation_2Erel__to__reln @ A_27a @ A_27b ) @ ( ap @ ( c_2Eset__relation_2Ereln__to__rel @ A_27a @ A_27b ) @ V2r ) )
% 5.44/5.75 = V2r )
% 5.44/5.75 & ( ( ( ap @ ( c_2Eset__relation_2Ereln__to__rel @ A_27a @ A_27b ) @ V5r1 )
% 5.44/5.75 = ( ap @ ( c_2Eset__relation_2Ereln__to__rel @ A_27a @ A_27b ) @ V6r2 ) )
% 5.44/5.75 <=> ( V5r1 = V6r2 ) )
% 5.44/5.75 & ( ( ( ap @ ( c_2Eset__relation_2Erel__to__reln @ A_27a @ A_27b ) @ V7R1 )
% 5.44/5.75 = ( ap @ ( c_2Eset__relation_2Erel__to__reln @ A_27a @ A_27b ) @ V8R2 ) )
% 5.44/5.75 <=> ( V7R1 = V8R2 ) )
% 5.44/5.75 & ( ( ap @ ( ap @ ( c_2Eset__relation_2ERREFL__EXP @ A_27a ) @ V9R ) @ ( c_2Epred__set_2EUNIV @ A_27a ) )
% 5.44/5.75 = V9R )
% 5.44/5.75 & ( ( ap @ ( ap @ ( c_2Epred__set_2EREL__RESTRICT @ A_27a ) @ V9R ) @ ( c_2Epred__set_2EUNIV @ A_27a ) )
% 5.44/5.75 = V9R )
% 5.44/5.75 & ( ( ap @ ( c_2Eset__relation_2Edomain @ A_27a @ A_27b ) @ V2r )
% 5.44/5.75 = ( ap @ ( c_2Erelation_2ERDOM @ A_27a @ A_27b ) @ ( ap @ ( c_2Eset__relation_2Ereln__to__rel @ A_27a @ A_27b ) @ V2r ) ) )
% 5.44/5.75 & ( ( ap @ ( c_2Eset__relation_2Erange @ A_27a @ A_27b ) @ V10r )
% 5.44/5.75 = ( ap @ ( c_2Erelation_2ERRANGE @ A_27b @ A_27a ) @ ( ap @ ( c_2Eset__relation_2Ereln__to__rel @ A_27b @ A_27a ) @ V10r ) ) )
% 5.44/5.75 & ( ( ap @ ( c_2Eset__relation_2Estrict @ A_27a ) @ V11r )
% 5.44/5.75 = ( ap @ ( c_2Eset__relation_2Erel__to__reln @ A_27a @ A_27a ) @ ( ap @ ( c_2Erelation_2ESTRORD @ A_27a ) @ ( ap @ ( c_2Eset__relation_2Ereln__to__rel @ A_27a @ A_27a ) @ V11r ) ) ) )
% 5.44/5.75 & ( ( ap @ ( ap @ ( c_2Eset__relation_2Errestrict @ A_27a ) @ V11r ) @ V12s )
% 5.44/5.75 = ( ap @ ( c_2Eset__relation_2Erel__to__reln @ A_27a @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EREL__RESTRICT @ A_27a ) @ ( ap @ ( c_2Eset__relation_2Ereln__to__rel @ A_27a @ A_27a ) @ V11r ) ) @ V12s ) ) )
% 5.44/5.75 & ( ( ap @ ( ap @ ( c_2Eset__relation_2Ercomp @ A_27a @ A_27b @ A_27c ) @ V13r1 ) @ V14r2 )
% 5.44/5.75 = ( ap @ ( c_2Eset__relation_2Erel__to__reln @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Erelation_2EO @ A_27a @ A_27c @ A_27b ) @ ( ap @ ( c_2Eset__relation_2Ereln__to__rel @ A_27c @ A_27b ) @ V14r2 ) ) @ ( ap @ ( c_2Eset__relation_2Ereln__to__rel @ A_27a @ A_27c ) @ V13r1 ) ) ) )
% 5.44/5.75 & ( ( ap @ ( c_2Eset__relation_2Euniv__reln @ A_27a ) @ V12s )
% 5.44/5.75 = ( ap @ ( c_2Eset__relation_2Erel__to__reln @ A_27a @ A_27a ) @ ( ap @ ( c_2Eset__relation_2ERRUNIV @ A_27a ) @ V12s ) ) )
% 5.44/5.75 & ( ( ap @ ( c_2Eset__relation_2Etc @ A_27a ) @ V11r )
% 5.44/5.75 = ( ap @ ( c_2Eset__relation_2Erel__to__reln @ A_27a @ A_27a ) @ ( ap @ ( c_2Erelation_2ETC @ A_27a ) @ ( ap @ ( c_2Eset__relation_2Ereln__to__rel @ A_27a @ A_27a ) @ V11r ) ) ) )
% 5.44/5.75 & ( ( p @ ( ap @ ( c_2Eset__relation_2Eacyclic @ A_27a ) @ V11r ) )
% 5.44/5.75 <=> ( p @ ( ap @ ( c_2Erelation_2Eirreflexive @ A_27a ) @ ( ap @ ( c_2Erelation_2ETC @ A_27a ) @ ( ap @ ( c_2Eset__relation_2Ereln__to__rel @ A_27a @ A_27a ) @ V11r ) ) ) ) )
% 5.44/5.75 & ( ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Eirreflexive @ A_27a ) @ V11r ) @ V12s ) )
% 5.44/5.75 <=> ( p @ ( ap @ ( c_2Erelation_2Eirreflexive @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EREL__RESTRICT @ A_27a ) @ ( ap @ ( c_2Eset__relation_2Ereln__to__rel @ A_27a @ A_27a ) @ V11r ) ) @ V12s ) ) ) )
% 5.44/5.75 & ( ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Ereflexive @ A_27a ) @ V11r ) @ V12s ) )
% 5.44/5.75 <=> ( p @ ( ap @ ( c_2Erelation_2Ereflexive @ A_27a ) @ ( ap @ ( ap @ ( c_2Eset__relation_2ERREFL__EXP @ A_27a ) @ ( ap @ ( c_2Eset__relation_2Ereln__to__rel @ A_27a @ A_27a ) @ V11r ) ) @ V12s ) ) ) )
% 5.44/5.75 & ( ( p @ ( ap @ ( c_2Eset__relation_2Etransitive @ A_27a ) @ V11r ) )
% 5.44/5.75 <=> ( p @ ( ap @ ( c_2Erelation_2Etransitive @ A_27a ) @ ( ap @ ( c_2Eset__relation_2Ereln__to__rel @ A_27a @ A_27a ) @ V11r ) ) ) )
% 5.44/5.75 & ( ( p @ ( ap @ ( c_2Eset__relation_2Eantisym @ A_27a ) @ V11r ) )
% 5.44/5.75 <=> ( p @ ( ap @ ( c_2Erelation_2Eantisymmetric @ A_27a ) @ ( ap @ ( c_2Eset__relation_2Ereln__to__rel @ A_27a @ A_27a ) @ V11r ) ) ) )
% 5.44/5.75 & ( ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Epartial__order @ A_27a ) @ V11r ) @ ( c_2Epred__set_2EUNIV @ A_27a ) ) )
% 5.44/5.75 <=> ( p @ ( ap @ ( c_2Erelation_2EWeakOrder @ A_27a ) @ ( ap @ ( c_2Eset__relation_2Ereln__to__rel @ A_27a @ A_27a ) @ V11r ) ) ) )
% 5.44/5.75 & ( ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Elinear__order @ A_27a ) @ V11r ) @ ( c_2Epred__set_2EUNIV @ A_27a ) ) )
% 5.44/5.75 <=> ( p @ ( ap @ ( c_2Erelation_2EWeakLinearOrder @ A_27a ) @ ( ap @ ( c_2Eset__relation_2Ereln__to__rel @ A_27a @ A_27a ) @ V11r ) ) ) )
% 5.44/5.75 & ( ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Estrict__linear__order @ A_27a ) @ V11r ) @ ( c_2Epred__set_2EUNIV @ A_27a ) ) )
% 5.44/5.75 <=> ( p @ ( ap @ ( c_2Erelation_2EStrongLinearOrder @ A_27a ) @ ( ap @ ( c_2Eset__relation_2Ereln__to__rel @ A_27a @ A_27a ) @ V11r ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Eacyclic__WF,axiom,
% 5.44/5.75 ! [A_27a: del,V0s: $i] :
% 5.44/5.75 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ! [V1r: $i] :
% 5.44/5.75 ( ( mem @ V1r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ( ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.44/5.75 & ( p @ ( ap @ ( c_2Eset__relation_2Eacyclic @ A_27a ) @ V1r ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ ( ap @ ( c_2Eset__relation_2Edomain @ A_27a @ A_27a ) @ V1r ) ) @ V0s ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ ( ap @ ( c_2Eset__relation_2Erange @ A_27a @ A_27a ) @ V1r ) ) @ V0s ) ) )
% 5.44/5.75 => ( p @ ( ap @ ( c_2Erelation_2EWF @ A_27a ) @ ( ap @ ( c_2Eset__relation_2Ereln__to__rel @ A_27a @ A_27a ) @ V1r ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(ax_thm_2Eset__relation_2Emaximal__elements__def,axiom,
% 5.44/5.75 ! [A_27a: del,V0xs: $i] :
% 5.44/5.75 ( ( mem @ V0xs @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ! [V1r: $i] :
% 5.44/5.75 ( ( mem @ V1r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ( ( ap @ ( ap @ ( c_2Eset__relation_2Emaximal__elements @ A_27a ) @ V0xs ) @ V1r )
% 5.44/5.75 = ( ap @ ( c_2Epred__set_2EGSPEC @ A_27a @ A_27a )
% 5.44/5.75 @ ( lam @ A_27a
% 5.44/5.75 @ ^ [V2x: $i] :
% 5.44/5.75 ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ bool ) @ V2x )
% 5.44/5.75 @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V0xs ) )
% 5.44/5.75 @ ( ap @ ( c_2Ebool_2E_21 @ A_27a )
% 5.44/5.75 @ ( lam @ A_27a
% 5.44/5.75 @ ^ [V3x_27: $i] : ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3x_27 ) @ V0xs ) ) @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V2x ) @ V3x_27 ) ) @ V1r ) ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V2x ) @ V3x_27 ) ) ) ) ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(ax_thm_2Eset__relation_2Eminimal__elements__def,axiom,
% 5.44/5.75 ! [A_27a: del,V0xs: $i] :
% 5.44/5.75 ( ( mem @ V0xs @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ! [V1r: $i] :
% 5.44/5.75 ( ( mem @ V1r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ( ( ap @ ( ap @ ( c_2Eset__relation_2Eminimal__elements @ A_27a ) @ V0xs ) @ V1r )
% 5.44/5.75 = ( ap @ ( c_2Epred__set_2EGSPEC @ A_27a @ A_27a )
% 5.44/5.75 @ ( lam @ A_27a
% 5.44/5.75 @ ^ [V2x: $i] :
% 5.44/5.75 ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ bool ) @ V2x )
% 5.44/5.75 @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V0xs ) )
% 5.44/5.75 @ ( ap @ ( c_2Ebool_2E_21 @ A_27a )
% 5.44/5.75 @ ( lam @ A_27a
% 5.44/5.75 @ ^ [V3x_27: $i] : ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3x_27 ) @ V0xs ) ) @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V3x_27 ) @ V2x ) ) @ V1r ) ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V2x ) @ V3x_27 ) ) ) ) ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Eminimal__elements__subset,axiom,
% 5.44/5.75 ! [A_27a: del,V0s: $i] :
% 5.44/5.75 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ! [V1lo: $i] :
% 5.44/5.75 ( ( mem @ V1lo @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ ( ap @ ( ap @ ( c_2Eset__relation_2Eminimal__elements @ A_27a ) @ V0s ) @ V1lo ) ) @ V0s ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Eminimal__elements__SWAP,axiom,
% 5.44/5.75 ! [A_27a: del,V0xs: $i] :
% 5.44/5.75 ( ( mem @ V0xs @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ! [V1r: $i] :
% 5.44/5.75 ( ( mem @ V1r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ( ( ap @ ( ap @ ( c_2Eset__relation_2Eminimal__elements @ A_27a ) @ V0xs ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( c_2Epair_2ESWAP @ A_27a @ A_27a ) ) @ V1r ) )
% 5.44/5.75 = ( ap @ ( ap @ ( c_2Eset__relation_2Emaximal__elements @ A_27a ) @ V0xs ) @ V1r ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Emaximal__union,axiom,
% 5.44/5.75 ! [A_27a: del,V0e: $i] :
% 5.44/5.75 ( ( mem @ V0e @ A_27a )
% 5.44/5.75 => ! [V1s: $i] :
% 5.44/5.75 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ! [V2r1: $i] :
% 5.44/5.75 ( ( mem @ V2r1 @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V3r2: $i] :
% 5.44/5.75 ( ( mem @ V3r2 @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0e ) @ ( ap @ ( ap @ ( c_2Eset__relation_2Emaximal__elements @ A_27a ) @ V1s ) @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ V2r1 ) @ V3r2 ) ) ) )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0e ) @ ( ap @ ( ap @ ( c_2Eset__relation_2Emaximal__elements @ A_27a ) @ V1s ) @ V2r1 ) ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0e ) @ ( ap @ ( ap @ ( c_2Eset__relation_2Emaximal__elements @ A_27a ) @ V1s ) @ V3r2 ) ) ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Eminimal__union,axiom,
% 5.44/5.75 ! [A_27a: del,V0e: $i] :
% 5.44/5.75 ( ( mem @ V0e @ A_27a )
% 5.44/5.75 => ! [V1s: $i] :
% 5.44/5.75 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ! [V2r1: $i] :
% 5.44/5.75 ( ( mem @ V2r1 @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V3r2: $i] :
% 5.44/5.75 ( ( mem @ V3r2 @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0e ) @ ( ap @ ( ap @ ( c_2Eset__relation_2Eminimal__elements @ A_27a ) @ V1s ) @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ V2r1 ) @ V3r2 ) ) ) )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0e ) @ ( ap @ ( ap @ ( c_2Eset__relation_2Eminimal__elements @ A_27a ) @ V1s ) @ V2r1 ) ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0e ) @ ( ap @ ( ap @ ( c_2Eset__relation_2Eminimal__elements @ A_27a ) @ V1s ) @ V3r2 ) ) ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Eminimal__elements__mono,axiom,
% 5.44/5.75 ! [A_27a: del,V0r: $i] :
% 5.44/5.75 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V1r_27: $i] :
% 5.44/5.75 ( ( mem @ V1r_27 @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V2xs: $i] :
% 5.44/5.75 ( ( mem @ V2xs @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ V0r ) @ V1r_27 ) )
% 5.44/5.75 => ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ ( ap @ ( ap @ ( c_2Eset__relation_2Eminimal__elements @ A_27a ) @ V2xs ) @ V1r_27 ) ) @ ( ap @ ( ap @ ( c_2Eset__relation_2Eminimal__elements @ A_27a ) @ V2xs ) @ V0r ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Eminimal__elements__rrestrict,axiom,
% 5.44/5.75 ! [A_27a: del,V0xs: $i] :
% 5.44/5.75 ( ( mem @ V0xs @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ! [V1r: $i] :
% 5.44/5.75 ( ( mem @ V1r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ( ( ap @ ( ap @ ( c_2Eset__relation_2Eminimal__elements @ A_27a ) @ V0xs ) @ ( ap @ ( ap @ ( c_2Eset__relation_2Errestrict @ A_27a ) @ V1r ) @ V0xs ) )
% 5.44/5.75 = ( ap @ ( ap @ ( c_2Eset__relation_2Eminimal__elements @ A_27a ) @ V0xs ) @ V1r ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2EWF__has__minimal__path,axiom,
% 5.44/5.75 ! [A_27a: del,V0r: $i] :
% 5.44/5.75 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V1x: $i] :
% 5.44/5.75 ( ( mem @ V1x @ A_27a )
% 5.44/5.75 => ! [V2s: $i] :
% 5.44/5.75 ( ( mem @ V2s @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ( ( p @ ( ap @ ( c_2Erelation_2EWF @ A_27a ) @ ( ap @ ( c_2Eset__relation_2Ereln__to__rel @ A_27a @ A_27a ) @ V0r ) ) )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V1x ) @ V2s ) )
% 5.44/5.75 => ? [V3y: $i] :
% 5.44/5.75 ( ( mem @ V3y @ A_27a )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3y ) @ ( ap @ ( ap @ ( c_2Eset__relation_2Eminimal__elements @ A_27a ) @ V2s ) @ V0r ) ) )
% 5.44/5.75 & ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V3y ) @ V1x ) ) @ ( ap @ ( c_2Eset__relation_2Etc @ A_27a ) @ V0r ) ) )
% 5.44/5.75 | ( V3y = V1x ) ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Efinite__acyclic__has__maximal,axiom,
% 5.44/5.75 ! [A_27a: del,V0s: $i] :
% 5.44/5.75 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.44/5.75 => ( ( V0s
% 5.44/5.75 != ( c_2Epred__set_2EEMPTY @ A_27a ) )
% 5.44/5.75 => ! [V1r: $i] :
% 5.44/5.75 ( ( mem @ V1r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ( ( p @ ( ap @ ( c_2Eset__relation_2Eacyclic @ A_27a ) @ V1r ) )
% 5.44/5.75 => ? [V2x: $i] :
% 5.44/5.75 ( ( mem @ V2x @ A_27a )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ ( ap @ ( ap @ ( c_2Eset__relation_2Emaximal__elements @ A_27a ) @ V0s ) @ V1r ) ) ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Efinite__acyclic__has__minimal,axiom,
% 5.44/5.75 ! [A_27a: del,V0s: $i] :
% 5.44/5.75 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.44/5.75 => ( ( V0s
% 5.44/5.75 != ( c_2Epred__set_2EEMPTY @ A_27a ) )
% 5.44/5.75 => ! [V1r: $i] :
% 5.44/5.75 ( ( mem @ V1r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ( ( p @ ( ap @ ( c_2Eset__relation_2Eacyclic @ A_27a ) @ V1r ) )
% 5.44/5.75 => ? [V2x: $i] :
% 5.44/5.75 ( ( mem @ V2x @ A_27a )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ ( ap @ ( ap @ ( c_2Eset__relation_2Eminimal__elements @ A_27a ) @ V0s ) @ V1r ) ) ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Emaximal__TC,axiom,
% 5.44/5.75 ! [A_27a: del,V0s: $i] :
% 5.44/5.75 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ! [V1r: $i] :
% 5.44/5.75 ( ( mem @ V1r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ( ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ ( ap @ ( c_2Eset__relation_2Edomain @ A_27a @ A_27a ) @ V1r ) ) @ V0s ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ ( ap @ ( c_2Eset__relation_2Erange @ A_27a @ A_27a ) @ V1r ) ) @ V0s ) ) )
% 5.44/5.75 => ( ( ap @ ( ap @ ( c_2Eset__relation_2Emaximal__elements @ A_27a ) @ V0s ) @ ( ap @ ( c_2Eset__relation_2Etc @ A_27a ) @ V1r ) )
% 5.44/5.75 = ( ap @ ( ap @ ( c_2Eset__relation_2Emaximal__elements @ A_27a ) @ V0s ) @ V1r ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Eminimal__TC,axiom,
% 5.44/5.75 ! [A_27a: del,V0s: $i] :
% 5.44/5.75 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ! [V1r: $i] :
% 5.44/5.75 ( ( mem @ V1r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ( ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ ( ap @ ( c_2Eset__relation_2Edomain @ A_27a @ A_27a ) @ V1r ) ) @ V0s ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ ( ap @ ( c_2Eset__relation_2Erange @ A_27a @ A_27a ) @ V1r ) ) @ V0s ) ) )
% 5.44/5.75 => ( ( ap @ ( ap @ ( c_2Eset__relation_2Eminimal__elements @ A_27a ) @ V0s ) @ ( ap @ ( c_2Eset__relation_2Etc @ A_27a ) @ V1r ) )
% 5.44/5.75 = ( ap @ ( ap @ ( c_2Eset__relation_2Eminimal__elements @ A_27a ) @ V0s ) @ V1r ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Efinite__acyclic__has__minimal__path,axiom,
% 5.44/5.75 ! [A_27a: del,V0s: $i] :
% 5.44/5.75 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ! [V1r: $i] :
% 5.44/5.75 ( ( mem @ V1r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V2x: $i] :
% 5.44/5.75 ( ( mem @ V2x @ A_27a )
% 5.44/5.75 => ( ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.44/5.75 & ( p @ ( ap @ ( c_2Eset__relation_2Eacyclic @ A_27a ) @ V1r ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V0s ) )
% 5.44/5.75 & ~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ ( ap @ ( ap @ ( c_2Eset__relation_2Eminimal__elements @ A_27a ) @ V0s ) @ V1r ) ) ) )
% 5.44/5.75 => ? [V3y: $i] :
% 5.44/5.75 ( ( mem @ V3y @ A_27a )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3y ) @ ( ap @ ( ap @ ( c_2Eset__relation_2Eminimal__elements @ A_27a ) @ V0s ) @ V1r ) ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V3y ) @ V2x ) ) @ ( ap @ ( c_2Eset__relation_2Etc @ A_27a ) @ V1r ) ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Efinite__acyclic__has__maximal__path,axiom,
% 5.44/5.75 ! [A_27a: del,V0s: $i] :
% 5.44/5.75 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ! [V1r: $i] :
% 5.44/5.75 ( ( mem @ V1r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V2x: $i] :
% 5.44/5.75 ( ( mem @ V2x @ A_27a )
% 5.44/5.75 => ( ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.44/5.75 & ( p @ ( ap @ ( c_2Eset__relation_2Eacyclic @ A_27a ) @ V1r ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V0s ) )
% 5.44/5.75 & ~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ ( ap @ ( ap @ ( c_2Eset__relation_2Emaximal__elements @ A_27a ) @ V0s ) @ V1r ) ) ) )
% 5.44/5.75 => ? [V3y: $i] :
% 5.44/5.75 ( ( mem @ V3y @ A_27a )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3y ) @ ( ap @ ( ap @ ( c_2Eset__relation_2Emaximal__elements @ A_27a ) @ V0s ) @ V1r ) ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V2x ) @ V3y ) ) @ ( ap @ ( c_2Eset__relation_2Etc @ A_27a ) @ V1r ) ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Efinite__prefix__po__has__minimal__path,axiom,
% 5.44/5.75 ! [A_27a: del,V0r: $i] :
% 5.44/5.75 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V1s: $i] :
% 5.44/5.75 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ! [V2x: $i] :
% 5.44/5.75 ( ( mem @ V2x @ A_27a )
% 5.44/5.75 => ! [V3s_27: $i] :
% 5.44/5.75 ( ( mem @ V3s_27 @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ( ( ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Epartial__order @ A_27a ) @ V0r ) @ V1s ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Efinite__prefixes @ A_27a @ A_27a ) @ V0r ) @ V1s ) )
% 5.44/5.75 & ~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ ( ap @ ( ap @ ( c_2Eset__relation_2Eminimal__elements @ A_27a ) @ V3s_27 ) @ V0r ) ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V3s_27 ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V3s_27 ) @ V1s ) ) )
% 5.44/5.75 => ? [V4x_27: $i] :
% 5.44/5.75 ( ( mem @ V4x_27 @ A_27a )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V4x_27 ) @ ( ap @ ( ap @ ( c_2Eset__relation_2Eminimal__elements @ A_27a ) @ V3s_27 ) @ V0r ) ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V4x_27 ) @ V2x ) ) @ V0r ) ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Eempty__strict__linear__order,axiom,
% 5.44/5.75 ! [A_27a: del,V0r: $i] :
% 5.44/5.75 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Estrict__linear__order @ A_27a ) @ V0r ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) )
% 5.44/5.75 <=> ( V0r
% 5.44/5.75 = ( c_2Epred__set_2EEMPTY @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Eempty__linear__order,axiom,
% 5.44/5.75 ! [A_27a: del,V0r: $i] :
% 5.44/5.75 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Elinear__order @ A_27a ) @ V0r ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) )
% 5.44/5.75 <=> ( V0r
% 5.44/5.75 = ( c_2Epred__set_2EEMPTY @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Elinear__order__restrict,axiom,
% 5.44/5.75 ! [A_27a: del,V0s: $i] :
% 5.44/5.75 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ! [V1r: $i] :
% 5.44/5.75 ( ( mem @ V1r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V2s_27: $i] :
% 5.44/5.75 ( ( mem @ V2s_27 @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Elinear__order @ A_27a ) @ V1r ) @ V0s ) )
% 5.44/5.75 => ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Elinear__order @ A_27a ) @ ( ap @ ( ap @ ( c_2Eset__relation_2Errestrict @ A_27a ) @ V1r ) @ V2s_27 ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ V0s ) @ V2s_27 ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Estrict__linear__order__restrict,axiom,
% 5.44/5.75 ! [A_27a: del,V0s: $i] :
% 5.44/5.75 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ! [V1r: $i] :
% 5.44/5.75 ( ( mem @ V1r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V2s_27: $i] :
% 5.44/5.75 ( ( mem @ V2s_27 @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Estrict__linear__order @ A_27a ) @ V1r ) @ V0s ) )
% 5.44/5.75 => ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Estrict__linear__order @ A_27a ) @ ( ap @ ( ap @ ( c_2Eset__relation_2Errestrict @ A_27a ) @ V1r ) @ V2s_27 ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ V0s ) @ V2s_27 ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Elinear__order__dom__rg,axiom,
% 5.44/5.75 ! [A_27a: del,V0lo: $i] :
% 5.44/5.75 ( ( mem @ V0lo @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V1X: $i] :
% 5.44/5.75 ( ( mem @ V1X @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Elinear__order @ A_27a ) @ V0lo ) @ V1X ) )
% 5.44/5.75 => ( ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ ( ap @ ( c_2Eset__relation_2Edomain @ A_27a @ A_27a ) @ V0lo ) ) @ ( ap @ ( c_2Eset__relation_2Erange @ A_27a @ A_27a ) @ V0lo ) )
% 5.44/5.75 = V1X ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Elinear__order__refl,axiom,
% 5.44/5.75 ! [A_27a: del,V0lo: $i] :
% 5.44/5.75 ( ( mem @ V0lo @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V1X: $i] :
% 5.44/5.75 ( ( mem @ V1X @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ! [V2x: $i] :
% 5.44/5.75 ( ( mem @ V2x @ A_27a )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Elinear__order @ A_27a ) @ V0lo ) @ V1X ) )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V1X ) )
% 5.44/5.75 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V2x ) @ V2x ) ) @ V0lo ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Elinear__order__in__set,axiom,
% 5.44/5.75 ! [A_27a: del,V0lo: $i] :
% 5.44/5.75 ( ( mem @ V0lo @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V1X: $i] :
% 5.44/5.75 ( ( mem @ V1X @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ! [V2x: $i] :
% 5.44/5.75 ( ( mem @ V2x @ A_27a )
% 5.44/5.75 => ! [V3y: $i] :
% 5.44/5.75 ( ( mem @ V3y @ A_27a )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Elinear__order @ A_27a ) @ V0lo ) @ V1X ) )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V2x ) @ V3y ) ) @ V0lo ) )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V1X ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3y ) @ V1X ) ) ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2EIN__MIN__LO,axiom,
% 5.44/5.75 ! [A_27a: del,V0x: $i] :
% 5.44/5.75 ( ( mem @ V0x @ A_27a )
% 5.44/5.75 => ! [V1X: $i] :
% 5.44/5.75 ( ( mem @ V1X @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ! [V2lo: $i] :
% 5.44/5.75 ( ( mem @ V2lo @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V3y: $i] :
% 5.44/5.75 ( ( mem @ V3y @ A_27a )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0x ) @ V1X ) )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Elinear__order @ A_27a ) @ V2lo ) @ V1X ) )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3y ) @ ( ap @ ( ap @ ( c_2Eset__relation_2Eminimal__elements @ A_27a ) @ V1X ) @ V2lo ) ) )
% 5.44/5.75 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V3y ) @ V0x ) ) @ V2lo ) ) ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Eextend__linear__order,axiom,
% 5.44/5.75 ! [A_27a: del,V0r: $i] :
% 5.44/5.75 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V1s: $i] :
% 5.44/5.75 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ! [V2x: $i] :
% 5.44/5.75 ( ( mem @ V2x @ A_27a )
% 5.44/5.75 => ( ( ~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V1s ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Elinear__order @ A_27a ) @ V0r ) @ V1s ) ) )
% 5.44/5.75 => ( p
% 5.44/5.75 @ ( ap
% 5.44/5.75 @ ( ap @ ( c_2Eset__relation_2Elinear__order @ A_27a )
% 5.44/5.75 @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ V0r )
% 5.44/5.75 @ ( ap @ ( c_2Epred__set_2EGSPEC @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ A_27a )
% 5.44/5.75 @ ( lam @ A_27a
% 5.44/5.75 @ ^ [V3y: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V3y ) @ V2x ) ) @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3y ) @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ V1s ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V2x ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) ) ) ) ) ) )
% 5.44/5.75 @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ V1s ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V2x ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Estrict__linear__order__acyclic,axiom,
% 5.44/5.75 ! [A_27a: del,V0r: $i] :
% 5.44/5.75 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V1s: $i] :
% 5.44/5.75 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Estrict__linear__order @ A_27a ) @ V0r ) @ V1s ) )
% 5.44/5.75 => ( p @ ( ap @ ( c_2Eset__relation_2Eacyclic @ A_27a ) @ V0r ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Estrict__linear__order__union__acyclic,axiom,
% 5.44/5.75 ! [A_27a: del,V0r1: $i] :
% 5.44/5.75 ( ( mem @ V0r1 @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V1r2: $i] :
% 5.44/5.75 ( ( mem @ V1r2 @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V2s: $i] :
% 5.44/5.75 ( ( mem @ V2s @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ( ( ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Estrict__linear__order @ A_27a ) @ V0r1 ) @ V2s ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ ( ap @ ( c_2Eset__relation_2Edomain @ A_27a @ A_27a ) @ V1r2 ) ) @ ( ap @ ( c_2Eset__relation_2Erange @ A_27a @ A_27a ) @ V1r2 ) ) ) @ V2s ) ) )
% 5.44/5.75 => ( ( p @ ( ap @ ( c_2Eset__relation_2Eacyclic @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ V0r1 ) @ V1r2 ) ) )
% 5.44/5.75 <=> ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ V1r2 ) @ V0r1 ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Estrict__linear__order,axiom,
% 5.44/5.75 ! [A_27a: del,V0r: $i] :
% 5.44/5.75 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V1s: $i] :
% 5.44/5.75 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Elinear__order @ A_27a ) @ V0r ) @ V1s ) )
% 5.44/5.75 => ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Estrict__linear__order @ A_27a ) @ ( ap @ ( c_2Eset__relation_2Estrict @ A_27a ) @ V0r ) ) @ V1s ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Elinear__order,axiom,
% 5.44/5.75 ! [A_27a: del,V0r: $i] :
% 5.44/5.75 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V1s: $i] :
% 5.44/5.75 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Estrict__linear__order @ A_27a ) @ V0r ) @ V1s ) )
% 5.44/5.75 => ( p
% 5.44/5.75 @ ( ap
% 5.44/5.75 @ ( ap @ ( c_2Eset__relation_2Elinear__order @ A_27a )
% 5.44/5.75 @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ V0r )
% 5.44/5.75 @ ( ap @ ( c_2Epred__set_2EGSPEC @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ A_27a )
% 5.44/5.75 @ ( lam @ A_27a
% 5.44/5.75 @ ^ [V2x: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V2x ) @ V2x ) ) @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V1s ) ) ) ) ) )
% 5.44/5.75 @ V1s ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Efinite__strict__linear__order__has__maximal,axiom,
% 5.44/5.75 ! [A_27a: del,V0s: $i] :
% 5.44/5.75 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ! [V1r: $i] :
% 5.44/5.75 ( ( mem @ V1r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ( ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Estrict__linear__order @ A_27a ) @ V1r ) @ V0s ) )
% 5.44/5.75 & ( V0s
% 5.44/5.75 != ( c_2Epred__set_2EEMPTY @ A_27a ) ) )
% 5.44/5.75 => ? [V2x: $i] :
% 5.44/5.75 ( ( mem @ V2x @ A_27a )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ ( ap @ ( ap @ ( c_2Eset__relation_2Emaximal__elements @ A_27a ) @ V0s ) @ V1r ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Efinite__strict__linear__order__has__minimal,axiom,
% 5.44/5.75 ! [A_27a: del,V0s: $i] :
% 5.44/5.75 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ! [V1r: $i] :
% 5.44/5.75 ( ( mem @ V1r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ( ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Estrict__linear__order @ A_27a ) @ V1r ) @ V0s ) )
% 5.44/5.75 & ( V0s
% 5.44/5.75 != ( c_2Epred__set_2EEMPTY @ A_27a ) ) )
% 5.44/5.75 => ? [V2x: $i] :
% 5.44/5.75 ( ( mem @ V2x @ A_27a )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ ( ap @ ( ap @ ( c_2Eset__relation_2Eminimal__elements @ A_27a ) @ V0s ) @ V1r ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Efinite__linear__order__has__maximal,axiom,
% 5.44/5.75 ! [A_27a: del,V0s: $i] :
% 5.44/5.75 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ! [V1r: $i] :
% 5.44/5.75 ( ( mem @ V1r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ( ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Elinear__order @ A_27a ) @ V1r ) @ V0s ) )
% 5.44/5.75 & ( V0s
% 5.44/5.75 != ( c_2Epred__set_2EEMPTY @ A_27a ) ) )
% 5.44/5.75 => ? [V2x: $i] :
% 5.44/5.75 ( ( mem @ V2x @ A_27a )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ ( ap @ ( ap @ ( c_2Eset__relation_2Emaximal__elements @ A_27a ) @ V0s ) @ V1r ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Efinite__linear__order__has__minimal,axiom,
% 5.44/5.75 ! [A_27a: del,V0s: $i] :
% 5.44/5.75 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ! [V1r: $i] :
% 5.44/5.75 ( ( mem @ V1r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ( ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Elinear__order @ A_27a ) @ V1r ) @ V0s ) )
% 5.44/5.75 & ( V0s
% 5.44/5.75 != ( c_2Epred__set_2EEMPTY @ A_27a ) ) )
% 5.44/5.75 => ? [V2x: $i] :
% 5.44/5.75 ( ( mem @ V2x @ A_27a )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ ( ap @ ( ap @ ( c_2Eset__relation_2Eminimal__elements @ A_27a ) @ V0s ) @ V1r ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Emaximal__linear__order,axiom,
% 5.44/5.75 ! [A_27a: del,V0s: $i] :
% 5.44/5.75 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ! [V1r: $i] :
% 5.44/5.75 ( ( mem @ V1r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V2x: $i] :
% 5.44/5.75 ( ( mem @ V2x @ A_27a )
% 5.44/5.75 => ! [V3y: $i] :
% 5.44/5.75 ( ( mem @ V3y @ A_27a )
% 5.44/5.75 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3y ) @ V0s ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Elinear__order @ A_27a ) @ V1r ) @ V0s ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ ( ap @ ( ap @ ( c_2Eset__relation_2Emaximal__elements @ A_27a ) @ V0s ) @ V1r ) ) ) )
% 5.44/5.75 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V3y ) @ V2x ) ) @ V1r ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Eminimal__linear__order,axiom,
% 5.44/5.75 ! [A_27a: del,V0s: $i] :
% 5.44/5.75 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ! [V1r: $i] :
% 5.44/5.75 ( ( mem @ V1r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V2x: $i] :
% 5.44/5.75 ( ( mem @ V2x @ A_27a )
% 5.44/5.75 => ! [V3y: $i] :
% 5.44/5.75 ( ( mem @ V3y @ A_27a )
% 5.44/5.75 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3y ) @ V0s ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Elinear__order @ A_27a ) @ V1r ) @ V0s ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ ( ap @ ( ap @ ( c_2Eset__relation_2Eminimal__elements @ A_27a ) @ V0s ) @ V1r ) ) ) )
% 5.44/5.75 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V2x ) @ V3y ) ) @ V1r ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Eminimal__linear__order__unique,axiom,
% 5.44/5.75 ! [A_27a: del,V0r: $i] :
% 5.44/5.75 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V1s: $i] :
% 5.44/5.75 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ! [V2s_27: $i] :
% 5.44/5.75 ( ( mem @ V2s_27 @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ! [V3x: $i] :
% 5.44/5.75 ( ( mem @ V3x @ A_27a )
% 5.44/5.75 => ! [V4y: $i] :
% 5.44/5.75 ( ( mem @ V4y @ A_27a )
% 5.44/5.75 => ( ( ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Elinear__order @ A_27a ) @ V0r ) @ V1s ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3x ) @ ( ap @ ( ap @ ( c_2Eset__relation_2Eminimal__elements @ A_27a ) @ V2s_27 ) @ V0r ) ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V4y ) @ ( ap @ ( ap @ ( c_2Eset__relation_2Eminimal__elements @ A_27a ) @ V2s_27 ) @ V0r ) ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V2s_27 ) @ V1s ) ) )
% 5.44/5.75 => ( V3x = V4y ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Efinite__prefix__linear__order__has__unique__minimal,axiom,
% 5.44/5.75 ! [A_27a: del,V0x: $i] :
% 5.44/5.75 ( ( mem @ V0x @ A_27a )
% 5.44/5.75 => ! [V1r: $i] :
% 5.44/5.75 ( ( mem @ V1r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V2s: $i] :
% 5.44/5.75 ( ( mem @ V2s @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ! [V3s_27: $i] :
% 5.44/5.75 ( ( mem @ V3s_27 @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ( ( ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Elinear__order @ A_27a ) @ V1r ) @ V2s ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Efinite__prefixes @ A_27a @ A_27a ) @ V1r ) @ V2s ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0x ) @ V3s_27 ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V3s_27 ) @ V2s ) ) )
% 5.44/5.75 => ( p @ ( ap @ ( c_2Epred__set_2ESING @ A_27a ) @ ( ap @ ( ap @ ( c_2Eset__relation_2Eminimal__elements @ A_27a ) @ V3s_27 ) @ V1r ) ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Enat__order__iso__thm,axiom,
% 5.44/5.75 ! [A_27a: del,V0f: $i] :
% 5.44/5.75 ( ( mem @ V0f @ ( arr @ ty_2Enum_2Enum @ ( ty_2Eoption_2Eoption @ A_27a ) ) )
% 5.44/5.75 => ! [V1s: $i] :
% 5.44/5.75 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ( ( ! [V2n: tp__ty_2Enum_2Enum,V3m: tp__ty_2Enum_2Enum] :
% 5.44/5.75 ( ( ( ( ap @ V0f @ ( inj__ty_2Enum_2Enum @ V3m ) )
% 5.44/5.75 = ( ap @ V0f @ ( inj__ty_2Enum_2Enum @ V2n ) ) )
% 5.44/5.75 & ( ( ap @ V0f @ ( inj__ty_2Enum_2Enum @ V3m ) )
% 5.44/5.75 != ( c_2Eoption_2ENONE @ A_27a ) ) )
% 5.44/5.75 => ( V3m = V2n ) )
% 5.44/5.75 & ! [V4x: $i] :
% 5.44/5.75 ( ( mem @ V4x @ A_27a )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V4x ) @ V1s ) )
% 5.44/5.75 => ? [V5m: tp__ty_2Enum_2Enum] :
% 5.44/5.75 ( ( ap @ V0f @ ( inj__ty_2Enum_2Enum @ V5m ) )
% 5.44/5.75 = ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V4x ) ) ) )
% 5.44/5.75 & ! [V6m: tp__ty_2Enum_2Enum,V7x: $i] :
% 5.44/5.75 ( ( mem @ V7x @ A_27a )
% 5.44/5.75 => ( ( ( ap @ V0f @ ( inj__ty_2Enum_2Enum @ V6m ) )
% 5.44/5.75 = ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V7x ) )
% 5.44/5.75 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V7x ) @ V1s ) ) ) ) )
% 5.44/5.75 => ( ( p
% 5.44/5.75 @ ( ap
% 5.44/5.75 @ ( ap @ ( c_2Eset__relation_2Elinear__order @ A_27a )
% 5.44/5.75 @ ( ap @ ( c_2Epred__set_2EGSPEC @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) )
% 5.44/5.75 @ ( ap @ ( c_2Epair_2EUNCURRY @ A_27a @ A_27a @ ( ty_2Epair_2Eprod @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 @ ( lam @ A_27a
% 5.44/5.75 @ ^ [V8x: $i] :
% 5.44/5.75 ( lam @ A_27a
% 5.44/5.75 @ ^ [V9y: $i] :
% 5.44/5.75 ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V8x ) @ V9y ) )
% 5.44/5.75 @ ( ap @ ( c_2Ebool_2E_3F @ ty_2Enum_2Enum )
% 5.44/5.75 @ ( lam @ ty_2Enum_2Enum
% 5.44/5.75 @ ^ [V10m: $i] :
% 5.44/5.75 ( ap @ ( c_2Ebool_2E_3F @ ty_2Enum_2Enum )
% 5.44/5.75 @ ( lam @ ty_2Enum_2Enum
% 5.44/5.75 @ ^ [V11n: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ V10m ) @ V11n ) ) @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ ( ap @ V0f @ V10m ) ) @ ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V8x ) ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ ( ap @ V0f @ V11n ) ) @ ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V9y ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.44/5.75 @ V1s ) )
% 5.44/5.75 & ( p
% 5.44/5.75 @ ( ap
% 5.44/5.75 @ ( ap @ ( c_2Eset__relation_2Efinite__prefixes @ A_27a @ A_27a )
% 5.44/5.75 @ ( ap @ ( c_2Epred__set_2EGSPEC @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) )
% 5.44/5.75 @ ( ap @ ( c_2Epair_2EUNCURRY @ A_27a @ A_27a @ ( ty_2Epair_2Eprod @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 @ ( lam @ A_27a
% 5.44/5.75 @ ^ [V12x: $i] :
% 5.44/5.75 ( lam @ A_27a
% 5.44/5.75 @ ^ [V13y: $i] :
% 5.44/5.75 ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V12x ) @ V13y ) )
% 5.44/5.75 @ ( ap @ ( c_2Ebool_2E_3F @ ty_2Enum_2Enum )
% 5.44/5.75 @ ( lam @ ty_2Enum_2Enum
% 5.44/5.75 @ ^ [V14m: $i] :
% 5.44/5.75 ( ap @ ( c_2Ebool_2E_3F @ ty_2Enum_2Enum )
% 5.44/5.75 @ ( lam @ ty_2Enum_2Enum
% 5.44/5.75 @ ^ [V15n: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ V14m ) @ V15n ) ) @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ ( ap @ V0f @ V14m ) ) @ ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V12x ) ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ ( ap @ V0f @ V15n ) ) @ ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V13y ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.44/5.75 @ V1s ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(ax_thm_2Eset__relation_2Echain__def,axiom,
% 5.44/5.75 ! [A_27a: del,V0s: $i] :
% 5.44/5.75 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ! [V1r: $i] :
% 5.44/5.75 ( ( mem @ V1r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Echain @ A_27a ) @ V0s ) @ V1r ) )
% 5.44/5.75 <=> ! [V2x: $i] :
% 5.44/5.75 ( ( mem @ V2x @ A_27a )
% 5.44/5.75 => ! [V3y: $i] :
% 5.44/5.75 ( ( mem @ V3y @ A_27a )
% 5.44/5.75 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V0s ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3y ) @ V0s ) ) )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V2x ) @ V3y ) ) @ V1r ) )
% 5.44/5.75 | ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V3y ) @ V2x ) ) @ V1r ) ) ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(ax_thm_2Eset__relation_2Eupper__bounds__def,axiom,
% 5.44/5.75 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.44/5.75 ( ( mem @ V0s @ ( arr @ A_27b @ bool ) )
% 5.44/5.75 => ! [V1r: $i] :
% 5.44/5.75 ( ( mem @ V1r @ ( arr @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) @ bool ) )
% 5.44/5.75 => ( ( ap @ ( ap @ ( c_2Eset__relation_2Eupper__bounds @ A_27a @ A_27b ) @ V0s ) @ V1r )
% 5.44/5.75 = ( ap @ ( c_2Epred__set_2EGSPEC @ A_27a @ A_27a )
% 5.44/5.75 @ ( lam @ A_27a
% 5.44/5.75 @ ^ [V2x: $i] :
% 5.44/5.75 ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ bool ) @ V2x )
% 5.44/5.75 @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ ( ap @ ( c_2Eset__relation_2Erange @ A_27a @ A_27b ) @ V1r ) ) )
% 5.44/5.75 @ ( ap @ ( c_2Ebool_2E_21 @ A_27b )
% 5.44/5.75 @ ( lam @ A_27b
% 5.44/5.75 @ ^ [V3y: $i] : ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ V3y ) @ V0s ) ) @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27b @ A_27a ) @ V3y ) @ V2x ) ) @ V1r ) ) ) ) ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Eupper__bounds__lem,axiom,
% 5.44/5.75 ! [A_27a: del,V0r: $i] :
% 5.44/5.75 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V1s: $i] :
% 5.44/5.75 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ! [V2x1: $i] :
% 5.44/5.75 ( ( mem @ V2x1 @ A_27a )
% 5.44/5.75 => ! [V3x2: $i] :
% 5.44/5.75 ( ( mem @ V3x2 @ A_27a )
% 5.44/5.75 => ( ( ( p @ ( ap @ ( c_2Eset__relation_2Etransitive @ A_27a ) @ V0r ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x1 ) @ ( ap @ ( ap @ ( c_2Eset__relation_2Eupper__bounds @ A_27a @ A_27a ) @ V1s ) @ V0r ) ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V2x1 ) @ V3x2 ) ) @ V0r ) ) )
% 5.44/5.75 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3x2 ) @ ( ap @ ( ap @ ( c_2Eset__relation_2Eupper__bounds @ A_27a @ A_27a ) @ V1s ) @ V0r ) ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(ax_thm_2Eset__relation_2Efchains__def,axiom,
% 5.44/5.75 ! [A_27a: del,V0r: $i] :
% 5.44/5.75 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ( ( ap @ ( c_2Eset__relation_2Efchains @ A_27a ) @ V0r )
% 5.44/5.75 = ( ap @ ( c_2Epred__set_2EGSPEC @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 @ ( lam @ ( arr @ A_27a @ bool )
% 5.44/5.75 @ ^ [V1k: $i] :
% 5.44/5.75 ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( arr @ A_27a @ bool ) @ bool ) @ V1k )
% 5.44/5.75 @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Eset__relation_2Echain @ A_27a ) @ V1k ) @ V0r ) )
% 5.44/5.75 @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ c_2Ebool_2E_7E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( arr @ A_27a @ bool ) ) @ V1k ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) )
% 5.44/5.75 @ ( ap @ ( c_2Ebool_2E_21 @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 @ ( lam @ ( arr @ A_27a @ bool )
% 5.44/5.75 @ ^ [V2C: $i] : ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Eset__relation_2Echain @ A_27a ) @ V2C ) @ V0r ) ) @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V2C ) @ V1k ) ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( arr @ A_27a @ bool ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDIFF @ A_27a ) @ ( ap @ ( ap @ ( c_2Eset__relation_2Eupper__bounds @ A_27a @ A_27a ) @ V2C ) @ V0r ) ) @ V2C ) ) @ V1k ) ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ ( ap @ ( c_2Epred__set_2ECHOICE @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDIFF @ A_27a ) @ ( ap @ ( ap @ ( c_2Eset__relation_2Eupper__bounds @ A_27a @ A_27a ) @ V2C ) @ V0r ) ) @ V2C ) ) ) @ ( ap @ ( ap @ ( c_2Eset__relation_2Eminimal__elements @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDIFF @ A_27a ) @ ( ap @ ( ap @ ( c_2Eset__relation_2Eupper__bounds @ A_27a @ A_27a ) @ V2C ) @ V0r ) ) @ V2C ) ) @ V1k ) ) @ V0r ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Ezorns__lemma,axiom,
% 5.44/5.75 ! [A_27a: del,V0r: $i] :
% 5.44/5.75 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V1s: $i] :
% 5.44/5.75 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ( ( ( V1s
% 5.44/5.75 != ( c_2Epred__set_2EEMPTY @ A_27a ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Epartial__order @ A_27a ) @ V0r ) @ V1s ) )
% 5.44/5.75 & ! [V2t: $i] :
% 5.44/5.75 ( ( mem @ V2t @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Echain @ A_27a ) @ V2t ) @ V0r ) )
% 5.44/5.75 => ( ( ap @ ( ap @ ( c_2Eset__relation_2Eupper__bounds @ A_27a @ A_27a ) @ V2t ) @ V0r )
% 5.44/5.75 != ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) ) )
% 5.44/5.75 => ? [V3x: $i] :
% 5.44/5.75 ( ( mem @ V3x @ A_27a )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3x ) @ ( ap @ ( ap @ ( c_2Eset__relation_2Emaximal__elements @ A_27a ) @ V1s ) @ V0r ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(ax_thm_2Eset__relation_2Eper__def,axiom,
% 5.44/5.75 ! [A_27a: del,V0xs: $i] :
% 5.44/5.75 ( ( mem @ V0xs @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ! [V1xss: $i] :
% 5.44/5.75 ( ( mem @ V1xss @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Eper @ A_27a ) @ V0xs ) @ V1xss ) )
% 5.44/5.75 <=> ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ ( ap @ ( c_2Epred__set_2EBIGUNION @ A_27a ) @ V1xss ) ) @ V0xs ) )
% 5.44/5.75 & ~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( arr @ A_27a @ bool ) ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) @ V1xss ) )
% 5.44/5.75 & ! [V2xs1: $i] :
% 5.44/5.75 ( ( mem @ V2xs1 @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ! [V3xs2: $i] :
% 5.44/5.75 ( ( mem @ V3xs2 @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( arr @ A_27a @ bool ) ) @ V2xs1 ) @ V1xss ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( arr @ A_27a @ bool ) ) @ V3xs2 ) @ V1xss ) )
% 5.44/5.75 & ( V2xs1 != V3xs2 ) )
% 5.44/5.75 => ( p @ ( ap @ ( ap @ ( c_2Epred__set_2EDISJOINT @ A_27a ) @ V2xs1 ) @ V3xs2 ) ) ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(ax_thm_2Eset__relation_2Eper__restrict__def,axiom,
% 5.44/5.75 ! [A_27a: del,V0xss: $i] :
% 5.44/5.75 ( ( mem @ V0xss @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) )
% 5.44/5.75 => ! [V1xs: $i] :
% 5.44/5.75 ( ( mem @ V1xs @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ( ( ap @ ( ap @ ( c_2Eset__relation_2Eper__restrict @ A_27a ) @ V0xss ) @ V1xs )
% 5.44/5.75 = ( ap
% 5.44/5.75 @ ( ap @ ( c_2Epred__set_2EDELETE @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 @ ( ap @ ( c_2Epred__set_2EGSPEC @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 @ ( lam @ ( arr @ A_27a @ bool )
% 5.44/5.75 @ ^ [V2xs_27: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( arr @ A_27a @ bool ) @ bool ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ V2xs_27 ) @ V1xs ) ) @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( arr @ A_27a @ bool ) ) @ V2xs_27 ) @ V0xss ) ) ) ) )
% 5.44/5.75 @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Eper__delete,axiom,
% 5.44/5.75 ! [A_27a: del,V0xs: $i] :
% 5.44/5.75 ( ( mem @ V0xs @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ! [V1xss: $i] :
% 5.44/5.75 ( ( mem @ V1xss @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) )
% 5.44/5.75 => ! [V2e: $i] :
% 5.44/5.75 ( ( mem @ V2e @ A_27a )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Eper @ A_27a ) @ V0xs ) @ V1xss ) )
% 5.44/5.75 => ( p
% 5.44/5.75 @ ( ap @ ( ap @ ( c_2Eset__relation_2Eper @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ A_27a ) @ V0xs ) @ V2e ) )
% 5.44/5.75 @ ( ap @ ( c_2Epred__set_2EGSPEC @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 @ ( lam @ ( arr @ A_27a @ bool )
% 5.44/5.75 @ ^ [V3es: $i] :
% 5.44/5.75 ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( arr @ A_27a @ bool ) @ bool ) @ V3es )
% 5.44/5.75 @ ( ap
% 5.44/5.75 @ ( ap @ c_2Ebool_2E_2F_5C
% 5.44/5.75 @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( arr @ A_27a @ bool ) ) @ V3es )
% 5.44/5.75 @ ( ap
% 5.44/5.75 @ ( ap @ ( c_2Epred__set_2EIMAGE @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 @ ( lam @ ( arr @ A_27a @ bool )
% 5.44/5.75 @ ^ [V4es: $i] : ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ A_27a ) @ V4es ) @ V2e ) ) )
% 5.44/5.75 @ V1xss ) ) )
% 5.44/5.75 @ ( ap @ c_2Ebool_2E_7E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( arr @ A_27a @ bool ) ) @ V3es ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Eper__restrict__per,axiom,
% 5.44/5.75 ! [A_27a: del,V0r: $i] :
% 5.44/5.75 ( ( mem @ V0r @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) )
% 5.44/5.75 => ! [V1s: $i] :
% 5.44/5.75 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ! [V2s_27: $i] :
% 5.44/5.75 ( ( mem @ V2s_27 @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Eper @ A_27a ) @ V1s ) @ V0r ) )
% 5.44/5.75 => ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Eper @ A_27a ) @ V2s_27 ) @ ( ap @ ( ap @ ( c_2Eset__relation_2Eper__restrict @ A_27a ) @ V0r ) @ V2s_27 ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Ecountable__per,axiom,
% 5.44/5.75 ! [A_27a: del,V0xs: $i] :
% 5.44/5.75 ( ( mem @ V0xs @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ! [V1xss: $i] :
% 5.44/5.75 ( ( mem @ V1xss @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) )
% 5.44/5.75 => ( ( ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27a ) @ V0xs ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Eper @ A_27a ) @ V0xs ) @ V1xss ) ) )
% 5.44/5.75 => ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ ( arr @ A_27a @ bool ) ) @ V1xss ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(ax_thm_2Eset__relation_2Eall__choices__def,axiom,
% 5.44/5.75 ! [A_27a: del,V0xss: $i] :
% 5.44/5.75 ( ( mem @ V0xss @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) )
% 5.44/5.75 => ( ( ap @ ( c_2Eset__relation_2Eall__choices @ A_27a ) @ V0xss )
% 5.44/5.75 = ( ap @ ( c_2Epred__set_2EGSPEC @ ( arr @ A_27a @ bool ) @ ( arr @ ( arr @ A_27a @ bool ) @ A_27a ) )
% 5.44/5.75 @ ( lam @ ( arr @ ( arr @ A_27a @ bool ) @ A_27a )
% 5.44/5.75 @ ^ [V1choice: $i] :
% 5.44/5.75 ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( arr @ A_27a @ bool ) @ bool ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ ( arr @ A_27a @ bool ) @ A_27a ) @ V1choice ) @ V0xss ) )
% 5.44/5.75 @ ( ap @ ( c_2Ebool_2E_21 @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 @ ( lam @ ( arr @ A_27a @ bool )
% 5.44/5.75 @ ^ [V2xs: $i] : ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( arr @ A_27a @ bool ) ) @ V2xs ) @ V0xss ) ) @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ ( ap @ V1choice @ V2xs ) ) @ V2xs ) ) ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Eall__choices__thm,axiom,
% 5.44/5.75 ! [A_27a: del,V0x: $i] :
% 5.44/5.75 ( ( mem @ V0x @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ! [V1s: $i] :
% 5.44/5.75 ( ( mem @ V1s @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) )
% 5.44/5.75 => ! [V2y: $i] :
% 5.44/5.75 ( ( mem @ V2y @ A_27a )
% 5.44/5.75 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( arr @ A_27a @ bool ) ) @ V0x ) @ ( ap @ ( c_2Eset__relation_2Eall__choices @ A_27a ) @ V1s ) ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2y ) @ V0x ) ) )
% 5.44/5.75 => ? [V3z: $i] :
% 5.44/5.75 ( ( mem @ V3z @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( arr @ A_27a @ bool ) ) @ V3z ) @ V1s ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2y ) @ V3z ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(ax_thm_2Eset__relation_2Enum__order__def,axiom,
% 5.44/5.75 ! [A_27a: del,V0f: $i] :
% 5.44/5.75 ( ( mem @ V0f @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.44/5.75 => ! [V1s: $i] :
% 5.44/5.75 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ( ( ap @ ( ap @ ( c_2Eset__relation_2Enum__order @ A_27a ) @ V0f ) @ V1s )
% 5.44/5.75 = ( ap @ ( c_2Epred__set_2EGSPEC @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) )
% 5.44/5.75 @ ( ap @ ( c_2Epair_2EUNCURRY @ A_27a @ A_27a @ ( ty_2Epair_2Eprod @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 @ ( lam @ A_27a
% 5.44/5.75 @ ^ [V2x: $i] :
% 5.44/5.75 ( lam @ A_27a
% 5.44/5.75 @ ^ [V3y: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V2x ) @ V3y ) ) @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V1s ) ) @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3y ) @ V1s ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ V0f @ V2x ) ) @ ( ap @ V0f @ V3y ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Elinear__order__num__order,axiom,
% 5.44/5.75 ! [A_27a: del,V0f: $i] :
% 5.44/5.75 ( ( mem @ V0f @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.44/5.75 => ! [V1s: $i] :
% 5.44/5.75 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ! [V2t: $i] :
% 5.44/5.75 ( ( mem @ V2t @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EINJ @ A_27a @ ty_2Enum_2Enum ) @ V0f ) @ V1s ) @ V2t ) )
% 5.44/5.75 => ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Elinear__order @ A_27a ) @ ( ap @ ( ap @ ( c_2Eset__relation_2Enum__order @ A_27a ) @ V0f ) @ V1s ) ) @ V1s ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Enum__order__finite__prefix,axiom,
% 5.44/5.75 ! [A_27a: del,V0f: $i] :
% 5.44/5.75 ( ( mem @ V0f @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.44/5.75 => ! [V1s: $i] :
% 5.44/5.75 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ! [V2t: $i] :
% 5.44/5.75 ( ( mem @ V2t @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.44/5.75 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EINJ @ A_27a @ ty_2Enum_2Enum ) @ V0f ) @ V1s ) @ V2t ) )
% 5.44/5.75 => ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Efinite__prefixes @ A_27a @ A_27a ) @ ( ap @ ( ap @ ( c_2Eset__relation_2Enum__order @ A_27a ) @ V0f ) @ V1s ) ) @ V1s ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(ax_thm_2Eset__relation_2Eget__min__def,axiom,
% 5.44/5.75 ! [A_27a: del,V0r_27: $i] :
% 5.44/5.75 ( ( mem @ V0r_27 @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V1s: $i] :
% 5.44/5.75 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ! [V2r: $i] :
% 5.44/5.75 ( ( mem @ V2r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ( ( ap @ ( ap @ ( c_2Eset__relation_2Eget__min @ A_27a ) @ V0r_27 ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( arr @ A_27a @ bool ) @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) ) @ V1s ) @ V2r ) )
% 5.44/5.75 = ( ap
% 5.44/5.75 @ ( ap @ ( c_2Ebool_2ELET @ ( arr @ A_27a @ bool ) @ ( ty_2Eoption_2Eoption @ A_27a ) )
% 5.44/5.75 @ ( lam @ ( arr @ A_27a @ bool )
% 5.44/5.75 @ ^ [V3mins: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ ( ap @ ( c_2Epred__set_2ESING @ A_27a ) @ V3mins ) ) @ ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ ( ap @ ( c_2Epred__set_2ECHOICE @ A_27a ) @ V3mins ) ) ) @ ( c_2Eoption_2ENONE @ A_27a ) ) ) )
% 5.44/5.75 @ ( ap @ ( ap @ ( c_2Eset__relation_2Eminimal__elements @ A_27a ) @ ( ap @ ( ap @ ( c_2Eset__relation_2Eminimal__elements @ A_27a ) @ V1s ) @ V2r ) ) @ V0r_27 ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Enth__min__ind,axiom,
% 5.44/5.75 ! [A_27a: del,V0P: $i] :
% 5.44/5.75 ( ( mem @ V0P @ ( arr @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) @ ( arr @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ bool ) @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) ) @ ( arr @ ty_2Enum_2Enum @ bool ) ) ) )
% 5.44/5.75 => ( ( ! [V1r_27: $i] :
% 5.44/5.75 ( ( mem @ V1r_27 @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V2s: $i] :
% 5.44/5.75 ( ( mem @ V2s @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ! [V3r: $i] :
% 5.44/5.75 ( ( mem @ V3r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ( p @ ( ap @ ( ap @ ( ap @ V0P @ V1r_27 ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( arr @ A_27a @ bool ) @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) ) @ V2s ) @ V3r ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ) ) )
% 5.44/5.75 & ! [V4r_27: $i] :
% 5.44/5.75 ( ( mem @ V4r_27 @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V5s: $i] :
% 5.44/5.75 ( ( mem @ V5s @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ! [V6r: $i] :
% 5.44/5.75 ( ( mem @ V6r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V7n: tp__ty_2Enum_2Enum] :
% 5.44/5.75 ( ! [V8min: $i] :
% 5.44/5.75 ( ( mem @ V8min @ ( ty_2Eoption_2Eoption @ A_27a ) )
% 5.44/5.75 => ( ( ( V8min
% 5.44/5.75 = ( ap @ ( ap @ ( c_2Eset__relation_2Eget__min @ A_27a ) @ V4r_27 ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( arr @ A_27a @ bool ) @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) ) @ V5s ) @ V6r ) ) )
% 5.44/5.75 & ( V8min
% 5.44/5.75 != ( c_2Eoption_2ENONE @ A_27a ) ) )
% 5.44/5.75 => ( p @ ( ap @ ( ap @ ( ap @ V0P @ V4r_27 ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( arr @ A_27a @ bool ) @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ A_27a ) @ V5s ) @ ( ap @ ( c_2Eoption_2ETHE @ A_27a ) @ V8min ) ) ) @ V6r ) ) @ ( inj__ty_2Enum_2Enum @ V7n ) ) ) ) )
% 5.44/5.75 => ( p @ ( ap @ ( ap @ ( ap @ V0P @ V4r_27 ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( arr @ A_27a @ bool ) @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) ) @ V5s ) @ V6r ) ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V7n ) ) ) ) ) ) ) ) )
% 5.44/5.75 => ! [V9v: $i] :
% 5.44/5.75 ( ( mem @ V9v @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V10v1: $i] :
% 5.44/5.75 ( ( mem @ V10v1 @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ! [V11v2: $i] :
% 5.44/5.75 ( ( mem @ V11v2 @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V12v3: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ ( ap @ V0P @ V9v ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( arr @ A_27a @ bool ) @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) ) @ V10v1 ) @ V11v2 ) ) @ ( inj__ty_2Enum_2Enum @ V12v3 ) ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Enth__min__def,axiom,
% 5.44/5.75 ! [A_27a: del] :
% 5.44/5.75 ( ! [V0s: $i] :
% 5.44/5.75 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ! [V1r_27: $i] :
% 5.44/5.75 ( ( mem @ V1r_27 @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V2r: $i] :
% 5.44/5.75 ( ( mem @ V2r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ( ( ap @ ( ap @ ( ap @ ( c_2Eset__relation_2Enth__min @ A_27a ) @ V1r_27 ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( arr @ A_27a @ bool ) @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) ) @ V0s ) @ V2r ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) )
% 5.44/5.75 = ( ap @ ( ap @ ( c_2Eset__relation_2Eget__min @ A_27a ) @ V1r_27 ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( arr @ A_27a @ bool ) @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) ) @ V0s ) @ V2r ) ) ) ) ) )
% 5.44/5.75 & ! [V3s: $i] :
% 5.44/5.75 ( ( mem @ V3s @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ! [V4r_27: $i] :
% 5.44/5.75 ( ( mem @ V4r_27 @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V5r: $i] :
% 5.44/5.75 ( ( mem @ V5r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V6n: tp__ty_2Enum_2Enum] :
% 5.44/5.75 ( ( ap @ ( ap @ ( ap @ ( c_2Eset__relation_2Enth__min @ A_27a ) @ V4r_27 ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( arr @ A_27a @ bool ) @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) ) @ V3s ) @ V5r ) ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V6n ) ) )
% 5.44/5.75 = ( ap
% 5.44/5.75 @ ( ap @ ( c_2Ebool_2ELET @ ( ty_2Eoption_2Eoption @ A_27a ) @ ( ty_2Eoption_2Eoption @ A_27a ) )
% 5.44/5.75 @ ( lam @ ( ty_2Eoption_2Eoption @ A_27a )
% 5.44/5.75 @ ^ [V7min: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ V7min ) @ ( c_2Eoption_2ENONE @ A_27a ) ) ) @ ( c_2Eoption_2ENONE @ A_27a ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Eset__relation_2Enth__min @ A_27a ) @ V4r_27 ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( arr @ A_27a @ bool ) @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ A_27a ) @ V3s ) @ ( ap @ ( c_2Eoption_2ETHE @ A_27a ) @ V7min ) ) ) @ V5r ) ) @ ( inj__ty_2Enum_2Enum @ V6n ) ) ) ) )
% 5.44/5.75 @ ( ap @ ( ap @ ( c_2Eset__relation_2Eget__min @ A_27a ) @ V4r_27 ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( arr @ A_27a @ bool ) @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) ) @ V3s ) @ V5r ) ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Enth__min__def__compute,axiom,
% 5.44/5.75 ! [A_27a: del] :
% 5.44/5.75 ( ! [V0s: $i] :
% 5.44/5.75 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ! [V1r_27: $i] :
% 5.44/5.75 ( ( mem @ V1r_27 @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V2r: $i] :
% 5.44/5.75 ( ( mem @ V2r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ( ( ap @ ( ap @ ( ap @ ( c_2Eset__relation_2Enth__min @ A_27a ) @ V1r_27 ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( arr @ A_27a @ bool ) @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) ) @ V0s ) @ V2r ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) )
% 5.44/5.75 = ( ap @ ( ap @ ( c_2Eset__relation_2Eget__min @ A_27a ) @ V1r_27 ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( arr @ A_27a @ bool ) @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) ) @ V0s ) @ V2r ) ) ) ) ) )
% 5.44/5.75 & ! [V3s: $i] :
% 5.44/5.75 ( ( mem @ V3s @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ! [V4r_27: $i] :
% 5.44/5.75 ( ( mem @ V4r_27 @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V5r: $i] :
% 5.44/5.75 ( ( mem @ V5r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V6n: tp__ty_2Enum_2Enum] :
% 5.44/5.75 ( ( ap @ ( ap @ ( ap @ ( c_2Eset__relation_2Enth__min @ A_27a ) @ V4r_27 ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( arr @ A_27a @ bool ) @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) ) @ V3s ) @ V5r ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V6n ) ) ) )
% 5.44/5.75 = ( ap
% 5.44/5.75 @ ( ap @ ( c_2Ebool_2ELET @ ( ty_2Eoption_2Eoption @ A_27a ) @ ( ty_2Eoption_2Eoption @ A_27a ) )
% 5.44/5.75 @ ( lam @ ( ty_2Eoption_2Eoption @ A_27a )
% 5.44/5.75 @ ^ [V7min: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ V7min ) @ ( c_2Eoption_2ENONE @ A_27a ) ) ) @ ( c_2Eoption_2ENONE @ A_27a ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Eset__relation_2Enth__min @ A_27a ) @ V4r_27 ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( arr @ A_27a @ bool ) @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ A_27a ) @ V3s ) @ ( ap @ ( c_2Eoption_2ETHE @ A_27a ) @ V7min ) ) ) @ V5r ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V6n ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.44/5.75 @ ( ap @ ( ap @ ( c_2Eset__relation_2Eget__min @ A_27a ) @ V4r_27 ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( arr @ A_27a @ bool ) @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) ) @ V3s ) @ V5r ) ) ) ) ) ) )
% 5.44/5.75 & ! [V8s: $i] :
% 5.44/5.75 ( ( mem @ V8s @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ! [V9r_27: $i] :
% 5.44/5.75 ( ( mem @ V9r_27 @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V10r: $i] :
% 5.44/5.75 ( ( mem @ V10r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V11n: tp__ty_2Enum_2Enum] :
% 5.44/5.75 ( ( ap @ ( ap @ ( ap @ ( c_2Eset__relation_2Enth__min @ A_27a ) @ V9r_27 ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( arr @ A_27a @ bool ) @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) ) @ V8s ) @ V10r ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V11n ) ) ) )
% 5.44/5.75 = ( ap
% 5.44/5.75 @ ( ap @ ( c_2Ebool_2ELET @ ( ty_2Eoption_2Eoption @ A_27a ) @ ( ty_2Eoption_2Eoption @ A_27a ) )
% 5.44/5.75 @ ( lam @ ( ty_2Eoption_2Eoption @ A_27a )
% 5.44/5.75 @ ^ [V12min: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ V12min ) @ ( c_2Eoption_2ENONE @ A_27a ) ) ) @ ( c_2Eoption_2ENONE @ A_27a ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Eset__relation_2Enth__min @ A_27a ) @ V9r_27 ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( arr @ A_27a @ bool ) @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ A_27a ) @ V8s ) @ ( ap @ ( c_2Eoption_2ETHE @ A_27a ) @ V12min ) ) ) @ V10r ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V11n ) ) ) ) ) ) )
% 5.44/5.75 @ ( ap @ ( ap @ ( c_2Eset__relation_2Eget__min @ A_27a ) @ V9r_27 ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( arr @ A_27a @ bool ) @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) ) @ V8s ) @ V10r ) ) ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(conj_thm_2Eset__relation_2Elinear__order__of__countable__po,axiom,
% 5.44/5.75 ! [A_27a: del,V0r: $i] :
% 5.44/5.75 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 => ! [V1s: $i] :
% 5.44/5.75 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.44/5.75 => ( ( ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27a ) @ V1s ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Epartial__order @ A_27a ) @ V0r ) @ V1s ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Efinite__prefixes @ A_27a @ A_27a ) @ V0r ) @ V1s ) ) )
% 5.44/5.75 => ? [V2r_27: $i] :
% 5.44/5.75 ( ( mem @ V2r_27 @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Elinear__order @ A_27a ) @ V2r_27 ) @ V1s ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Efinite__prefixes @ A_27a @ A_27a ) @ V2r_27 ) @ V1s ) )
% 5.44/5.75 & ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ V0r ) @ V2r_27 ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 %------------------------------------------------------------------------------
% 5.44/5.75 %------------------------------------------------------------------------------
% 5.44/5.75 thf(tp_ty_2Elist_2Elist,type,
% 5.44/5.75 ty_2Elist_2Elist: del > del ).
% 5.44/5.75
% 5.44/5.75 thf(tp_c_2Elist_2EALL__DISTINCT,type,
% 5.44/5.75 c_2Elist_2EALL__DISTINCT: del > $i ).
% 5.44/5.75
% 5.44/5.75 thf(mem_c_2Elist_2EALL__DISTINCT,axiom,
% 5.44/5.75 ! [A_27a: del] : ( mem @ ( c_2Elist_2EALL__DISTINCT @ A_27a ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ bool ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(tp_c_2Elist_2EAPPEND,type,
% 5.44/5.75 c_2Elist_2EAPPEND: del > $i ).
% 5.44/5.75
% 5.44/5.75 thf(mem_c_2Elist_2EAPPEND,axiom,
% 5.44/5.75 ! [A_27a: del] : ( mem @ ( c_2Elist_2EAPPEND @ A_27a ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(tp_c_2Elist_2ECONS,type,
% 5.44/5.75 c_2Elist_2ECONS: del > $i ).
% 5.44/5.75
% 5.44/5.75 thf(mem_c_2Elist_2ECONS,axiom,
% 5.44/5.75 ! [A_27a: del] : ( mem @ ( c_2Elist_2ECONS @ A_27a ) @ ( arr @ A_27a @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(tp_c_2Elist_2EDROP,type,
% 5.44/5.75 c_2Elist_2EDROP: del > $i ).
% 5.44/5.75
% 5.44/5.75 thf(mem_c_2Elist_2EDROP,axiom,
% 5.44/5.75 ! [A_27a: del] : ( mem @ ( c_2Elist_2EDROP @ A_27a ) @ ( arr @ ty_2Enum_2Enum @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(tp_c_2Elist_2EEL,type,
% 5.44/5.75 c_2Elist_2EEL: del > $i ).
% 5.44/5.75
% 5.44/5.75 thf(mem_c_2Elist_2EEL,axiom,
% 5.44/5.75 ! [A_27a: del] : ( mem @ ( c_2Elist_2EEL @ A_27a ) @ ( arr @ ty_2Enum_2Enum @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ A_27a ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(tp_c_2Elist_2EEVERY,type,
% 5.44/5.75 c_2Elist_2EEVERY: del > $i ).
% 5.44/5.75
% 5.44/5.75 thf(mem_c_2Elist_2EEVERY,axiom,
% 5.44/5.75 ! [A_27a: del] : ( mem @ ( c_2Elist_2EEVERY @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ bool ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(tp_c_2Elist_2EEVERYi,type,
% 5.44/5.75 c_2Elist_2EEVERYi: del > $i ).
% 5.44/5.75
% 5.44/5.75 thf(mem_c_2Elist_2EEVERYi,axiom,
% 5.44/5.75 ! [A_27a: del] : ( mem @ ( c_2Elist_2EEVERYi @ A_27a ) @ ( arr @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ bool ) ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ bool ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(tp_c_2Elist_2EEXISTS,type,
% 5.44/5.75 c_2Elist_2EEXISTS: del > $i ).
% 5.44/5.75
% 5.44/5.75 thf(mem_c_2Elist_2EEXISTS,axiom,
% 5.44/5.75 ! [A_27a: del] : ( mem @ ( c_2Elist_2EEXISTS @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ bool ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(tp_c_2Elist_2EFILTER,type,
% 5.44/5.75 c_2Elist_2EFILTER: del > $i ).
% 5.44/5.75
% 5.44/5.75 thf(mem_c_2Elist_2EFILTER,axiom,
% 5.44/5.75 ! [A_27a: del] : ( mem @ ( c_2Elist_2EFILTER @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(tp_c_2Elist_2EFIND,type,
% 5.44/5.75 c_2Elist_2EFIND: del > $i ).
% 5.44/5.75
% 5.44/5.75 thf(mem_c_2Elist_2EFIND,axiom,
% 5.44/5.75 ! [A_27a: del] : ( mem @ ( c_2Elist_2EFIND @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Eoption_2Eoption @ A_27a ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(tp_c_2Elist_2EFLAT,type,
% 5.44/5.75 c_2Elist_2EFLAT: del > $i ).
% 5.44/5.75
% 5.44/5.75 thf(mem_c_2Elist_2EFLAT,axiom,
% 5.44/5.75 ! [A_27a: del] : ( mem @ ( c_2Elist_2EFLAT @ A_27a ) @ ( arr @ ( ty_2Elist_2Elist @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ty_2Elist_2Elist @ A_27a ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(tp_c_2Elist_2EFOLDL,type,
% 5.44/5.75 c_2Elist_2EFOLDL: del > del > $i ).
% 5.44/5.75
% 5.44/5.75 thf(mem_c_2Elist_2EFOLDL,axiom,
% 5.44/5.75 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Elist_2EFOLDL @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27b @ ( arr @ A_27a @ A_27b ) ) @ ( arr @ A_27b @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ A_27b ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(tp_c_2Elist_2EFOLDL2,type,
% 5.44/5.75 c_2Elist_2EFOLDL2: del > del > del > $i ).
% 5.44/5.75
% 5.44/5.75 thf(mem_c_2Elist_2EFOLDL2,axiom,
% 5.44/5.75 ! [A_27a: del,A_27b: del,A_27c: del] : ( mem @ ( c_2Elist_2EFOLDL2 @ A_27a @ A_27b @ A_27c ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27b @ ( arr @ A_27c @ A_27a ) ) ) @ ( arr @ A_27a @ ( arr @ ( ty_2Elist_2Elist @ A_27b ) @ ( arr @ ( ty_2Elist_2Elist @ A_27c ) @ A_27a ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(tp_c_2Elist_2EFOLDR,type,
% 5.44/5.75 c_2Elist_2EFOLDR: del > del > $i ).
% 5.44/5.75
% 5.44/5.75 thf(mem_c_2Elist_2EFOLDR,axiom,
% 5.44/5.75 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Elist_2EFOLDR @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27b @ A_27b ) ) @ ( arr @ A_27b @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ A_27b ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(tp_c_2Elist_2EFRONT,type,
% 5.44/5.75 c_2Elist_2EFRONT: del > $i ).
% 5.44/5.75
% 5.44/5.75 thf(mem_c_2Elist_2EFRONT,axiom,
% 5.44/5.75 ! [A_27a: del] : ( mem @ ( c_2Elist_2EFRONT @ A_27a ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(tp_c_2Elist_2EGENLIST,type,
% 5.44/5.75 c_2Elist_2EGENLIST: del > $i ).
% 5.44/5.75
% 5.44/5.75 thf(mem_c_2Elist_2EGENLIST,axiom,
% 5.44/5.75 ! [A_27a: del] : ( mem @ ( c_2Elist_2EGENLIST @ A_27a ) @ ( arr @ ( arr @ ty_2Enum_2Enum @ A_27a ) @ ( arr @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ A_27a ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(tp_c_2Elist_2EGENLIST__AUX,type,
% 5.44/5.75 c_2Elist_2EGENLIST__AUX: del > $i ).
% 5.44/5.75
% 5.44/5.75 thf(mem_c_2Elist_2EGENLIST__AUX,axiom,
% 5.44/5.75 ! [A_27a: del] : ( mem @ ( c_2Elist_2EGENLIST__AUX @ A_27a ) @ ( arr @ ( arr @ ty_2Enum_2Enum @ A_27a ) @ ( arr @ ty_2Enum_2Enum @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(tp_c_2Elist_2EHD,type,
% 5.44/5.75 c_2Elist_2EHD: del > $i ).
% 5.44/5.75
% 5.44/5.75 thf(mem_c_2Elist_2EHD,axiom,
% 5.44/5.75 ! [A_27a: del] : ( mem @ ( c_2Elist_2EHD @ A_27a ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ A_27a ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(tp_c_2Elist_2EINDEX__FIND,type,
% 5.44/5.75 c_2Elist_2EINDEX__FIND: del > $i ).
% 5.44/5.75
% 5.44/5.75 thf(mem_c_2Elist_2EINDEX__FIND,axiom,
% 5.44/5.75 ! [A_27a: del] : ( mem @ ( c_2Elist_2EINDEX__FIND @ A_27a ) @ ( arr @ ty_2Enum_2Enum @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ A_27a ) ) ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(tp_c_2Elist_2EINDEX__OF,type,
% 5.44/5.75 c_2Elist_2EINDEX__OF: del > $i ).
% 5.44/5.75
% 5.44/5.75 thf(mem_c_2Elist_2EINDEX__OF,axiom,
% 5.44/5.75 ! [A_27a: del] : ( mem @ ( c_2Elist_2EINDEX__OF @ A_27a ) @ ( arr @ A_27a @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Eoption_2Eoption @ ty_2Enum_2Enum ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(tp_c_2Elist_2ELAST,type,
% 5.44/5.75 c_2Elist_2ELAST: del > $i ).
% 5.44/5.75
% 5.44/5.75 thf(mem_c_2Elist_2ELAST,axiom,
% 5.44/5.75 ! [A_27a: del] : ( mem @ ( c_2Elist_2ELAST @ A_27a ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ A_27a ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(tp_c_2Elist_2ELEN,type,
% 5.44/5.75 c_2Elist_2ELEN: del > $i ).
% 5.44/5.75
% 5.44/5.75 thf(mem_c_2Elist_2ELEN,axiom,
% 5.44/5.75 ! [A_27a: del] : ( mem @ ( c_2Elist_2ELEN @ A_27a ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(tp_c_2Elist_2ELENGTH,type,
% 5.44/5.75 c_2Elist_2ELENGTH: del > $i ).
% 5.44/5.75
% 5.44/5.75 thf(mem_c_2Elist_2ELENGTH,axiom,
% 5.44/5.75 ! [A_27a: del] : ( mem @ ( c_2Elist_2ELENGTH @ A_27a ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ty_2Enum_2Enum ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(tp_c_2Elist_2ELIST__APPLY,type,
% 5.44/5.75 c_2Elist_2ELIST__APPLY: del > del > $i ).
% 5.44/5.75
% 5.44/5.75 thf(mem_c_2Elist_2ELIST__APPLY,axiom,
% 5.44/5.75 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Elist_2ELIST__APPLY @ A_27a @ A_27b ) @ ( arr @ ( ty_2Elist_2Elist @ ( arr @ A_27b @ A_27a ) ) @ ( arr @ ( ty_2Elist_2Elist @ A_27b ) @ ( ty_2Elist_2Elist @ A_27a ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(tp_c_2Elist_2ELIST__BIND,type,
% 5.44/5.75 c_2Elist_2ELIST__BIND: del > del > $i ).
% 5.44/5.75
% 5.44/5.75 thf(mem_c_2Elist_2ELIST__BIND,axiom,
% 5.44/5.75 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Elist_2ELIST__BIND @ A_27a @ A_27b ) @ ( arr @ ( ty_2Elist_2Elist @ A_27b ) @ ( arr @ ( arr @ A_27b @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ty_2Elist_2Elist @ A_27a ) ) ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(stp_c_ty_2Elist_2Elist_ty_2Eone_2Eone,type,
% 5.44/5.75 tp__c_ty_2Elist_2Elist_ty_2Eone_2Eone: $tType ).
% 5.44/5.75
% 5.44/5.75 thf(stp_inj_c_ty_2Elist_2Elist_ty_2Eone_2Eone,type,
% 5.44/5.75 inj__c_ty_2Elist_2Elist_ty_2Eone_2Eone: tp__c_ty_2Elist_2Elist_ty_2Eone_2Eone > $i ).
% 5.44/5.75
% 5.44/5.75 thf(stp_surj_c_ty_2Elist_2Elist_ty_2Eone_2Eone,type,
% 5.44/5.75 surj__c_ty_2Elist_2Elist_ty_2Eone_2Eone: $i > tp__c_ty_2Elist_2Elist_ty_2Eone_2Eone ).
% 5.44/5.75
% 5.44/5.75 thf(stp_inj_surj_c_ty_2Elist_2Elist_ty_2Eone_2Eone,axiom,
% 5.44/5.75 ! [X: tp__c_ty_2Elist_2Elist_ty_2Eone_2Eone] :
% 5.44/5.75 ( ( surj__c_ty_2Elist_2Elist_ty_2Eone_2Eone @ ( inj__c_ty_2Elist_2Elist_ty_2Eone_2Eone @ X ) )
% 5.44/5.75 = X ) ).
% 5.44/5.75
% 5.44/5.75 thf(stp_inj_mem_c_ty_2Elist_2Elist_ty_2Eone_2Eone,axiom,
% 5.44/5.75 ! [X: tp__c_ty_2Elist_2Elist_ty_2Eone_2Eone] : ( mem @ ( inj__c_ty_2Elist_2Elist_ty_2Eone_2Eone @ X ) @ ( ty_2Elist_2Elist @ ty_2Eone_2Eone ) ) ).
% 5.44/5.75
% 5.44/5.75 thf(stp_iso_mem_c_ty_2Elist_2Elist_ty_2Eone_2Eone,axiom,
% 5.52/5.75 ! [X: $i] :
% 5.52/5.75 ( ( mem @ X @ ( ty_2Elist_2Elist @ ty_2Eone_2Eone ) )
% 5.52/5.75 => ( X
% 5.52/5.75 = ( inj__c_ty_2Elist_2Elist_ty_2Eone_2Eone @ ( surj__c_ty_2Elist_2Elist_ty_2Eone_2Eone @ X ) ) ) ) ).
% 5.52/5.75
% 5.52/5.75 thf(tp_c_2Elist_2ELIST__GUARD,type,
% 5.52/5.75 c_2Elist_2ELIST__GUARD: $i ).
% 5.52/5.75
% 5.52/5.75 thf(mem_c_2Elist_2ELIST__GUARD,axiom,
% 5.52/5.75 mem @ c_2Elist_2ELIST__GUARD @ ( arr @ bool @ ( ty_2Elist_2Elist @ ty_2Eone_2Eone ) ) ).
% 5.52/5.75
% 5.52/5.75 thf(tp_c_2Elist_2ELIST__IGNORE__BIND,type,
% 5.52/5.75 c_2Elist_2ELIST__IGNORE__BIND: del > del > $i ).
% 5.52/5.75
% 5.52/5.75 thf(mem_c_2Elist_2ELIST__IGNORE__BIND,axiom,
% 5.52/5.75 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Elist_2ELIST__IGNORE__BIND @ A_27a @ A_27b ) @ ( arr @ ( ty_2Elist_2Elist @ A_27b ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) ) ) ).
% 5.52/5.75
% 5.52/5.75 thf(tp_c_2Elist_2ELIST__LIFT2,type,
% 5.52/5.75 c_2Elist_2ELIST__LIFT2: del > del > del > $i ).
% 5.52/5.75
% 5.52/5.75 thf(mem_c_2Elist_2ELIST__LIFT2,axiom,
% 5.52/5.75 ! [A_27a: del,A_27b: del,A_27c: del] : ( mem @ ( c_2Elist_2ELIST__LIFT2 @ A_27a @ A_27b @ A_27c ) @ ( arr @ ( arr @ A_27b @ ( arr @ A_27c @ A_27a ) ) @ ( arr @ ( ty_2Elist_2Elist @ A_27b ) @ ( arr @ ( ty_2Elist_2Elist @ A_27c ) @ ( ty_2Elist_2Elist @ A_27a ) ) ) ) ) ).
% 5.52/5.75
% 5.52/5.75 thf(tp_c_2Elist_2ELIST__REL,type,
% 5.52/5.75 c_2Elist_2ELIST__REL: del > del > $i ).
% 5.52/5.75
% 5.52/5.75 thf(mem_c_2Elist_2ELIST__REL,axiom,
% 5.52/5.75 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Elist_2ELIST__REL @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ ( ty_2Elist_2Elist @ A_27b ) @ bool ) ) ) ) ).
% 5.52/5.75
% 5.52/5.75 thf(tp_c_2Elist_2ELIST__TO__SET,type,
% 5.52/5.75 c_2Elist_2ELIST__TO__SET: del > $i ).
% 5.52/5.75
% 5.52/5.75 thf(mem_c_2Elist_2ELIST__TO__SET,axiom,
% 5.52/5.75 ! [A_27a: del] : ( mem @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ A_27a @ bool ) ) ) ).
% 5.52/5.75
% 5.52/5.75 thf(tp_c_2Elist_2ELLEX,type,
% 5.52/5.75 c_2Elist_2ELLEX: del > $i ).
% 5.52/5.75
% 5.52/5.75 thf(mem_c_2Elist_2ELLEX,axiom,
% 5.52/5.75 ! [A_27a: del] : ( mem @ ( c_2Elist_2ELLEX @ A_27a ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ bool ) ) ) ) ).
% 5.52/5.75
% 5.52/5.75 thf(tp_c_2Elist_2ELRC,type,
% 5.52/5.75 c_2Elist_2ELRC: del > $i ).
% 5.52/5.75
% 5.52/5.75 thf(mem_c_2Elist_2ELRC,axiom,
% 5.52/5.75 ! [A_27a: del] : ( mem @ ( c_2Elist_2ELRC @ A_27a ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) ) ) ) ).
% 5.52/5.75
% 5.52/5.75 thf(tp_c_2Elist_2ELUPDATE,type,
% 5.52/5.75 c_2Elist_2ELUPDATE: del > $i ).
% 5.52/5.75
% 5.52/5.75 thf(mem_c_2Elist_2ELUPDATE,axiom,
% 5.52/5.75 ! [A_27a: del] : ( mem @ ( c_2Elist_2ELUPDATE @ A_27a ) @ ( arr @ A_27a @ ( arr @ ty_2Enum_2Enum @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) ) ) ) ).
% 5.52/5.75
% 5.52/5.75 thf(tp_c_2Elist_2EMAP,type,
% 5.52/5.75 c_2Elist_2EMAP: del > del > $i ).
% 5.52/5.75
% 5.52/5.75 thf(mem_c_2Elist_2EMAP,axiom,
% 5.52/5.75 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Elist_2EMAP @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ A_27b ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27b ) ) ) ) ).
% 5.52/5.75
% 5.52/5.75 thf(tp_c_2Elist_2EMAP2,type,
% 5.52/5.75 c_2Elist_2EMAP2: del > del > del > $i ).
% 5.52/5.75
% 5.52/5.75 thf(mem_c_2Elist_2EMAP2,axiom,
% 5.52/5.75 ! [A_27a: del,A_27b: del,A_27c: del] : ( mem @ ( c_2Elist_2EMAP2 @ A_27a @ A_27b @ A_27c ) @ ( arr @ ( arr @ A_27b @ ( arr @ A_27c @ A_27a ) ) @ ( arr @ ( ty_2Elist_2Elist @ A_27b ) @ ( arr @ ( ty_2Elist_2Elist @ A_27c ) @ ( ty_2Elist_2Elist @ A_27a ) ) ) ) ) ).
% 5.52/5.75
% 5.52/5.75 thf(tp_c_2Elist_2ENIL,type,
% 5.52/5.75 c_2Elist_2ENIL: del > $i ).
% 5.52/5.75
% 5.52/5.75 thf(mem_c_2Elist_2ENIL,axiom,
% 5.52/5.75 ! [A_27a: del] : ( mem @ ( c_2Elist_2ENIL @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) ).
% 5.52/5.75
% 5.52/5.75 thf(tp_c_2Elist_2ENULL,type,
% 5.52/5.75 c_2Elist_2ENULL: del > $i ).
% 5.52/5.75
% 5.52/5.75 thf(mem_c_2Elist_2ENULL,axiom,
% 5.52/5.75 ! [A_27a: del] : ( mem @ ( c_2Elist_2ENULL @ A_27a ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ bool ) ) ).
% 5.52/5.75
% 5.52/5.75 thf(tp_c_2Elist_2EOPT__MMAP,type,
% 5.52/5.75 c_2Elist_2EOPT__MMAP: del > del > $i ).
% 5.52/5.75
% 5.52/5.75 thf(mem_c_2Elist_2EOPT__MMAP,axiom,
% 5.52/5.75 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Elist_2EOPT__MMAP @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ ( arr @ ( ty_2Elist_2Elist @ A_27b ) @ ( ty_2Eoption_2Eoption @ ( ty_2Elist_2Elist @ A_27a ) ) ) ) ) ).
% 5.52/5.75
% 5.52/5.75 thf(tp_c_2Elist_2EPAD__LEFT,type,
% 5.52/5.75 c_2Elist_2EPAD__LEFT: del > $i ).
% 5.52/5.75
% 5.52/5.75 thf(mem_c_2Elist_2EPAD__LEFT,axiom,
% 5.52/5.75 ! [A_27a: del] : ( mem @ ( c_2Elist_2EPAD__LEFT @ A_27a ) @ ( arr @ A_27a @ ( arr @ ty_2Enum_2Enum @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) ) ) ) ).
% 5.52/5.75
% 5.52/5.75 thf(tp_c_2Elist_2EPAD__RIGHT,type,
% 5.52/5.75 c_2Elist_2EPAD__RIGHT: del > $i ).
% 5.52/5.75
% 5.52/5.75 thf(mem_c_2Elist_2EPAD__RIGHT,axiom,
% 5.52/5.75 ! [A_27a: del] : ( mem @ ( c_2Elist_2EPAD__RIGHT @ A_27a ) @ ( arr @ A_27a @ ( arr @ ty_2Enum_2Enum @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) ) ) ) ).
% 5.52/5.75
% 5.52/5.75 thf(tp_c_2Elist_2EREV,type,
% 5.52/5.75 c_2Elist_2EREV: del > $i ).
% 5.52/5.75
% 5.52/5.75 thf(mem_c_2Elist_2EREV,axiom,
% 5.52/5.75 ! [A_27a: del] : ( mem @ ( c_2Elist_2EREV @ A_27a ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) ) ) ).
% 5.52/5.75
% 5.52/5.75 thf(tp_c_2Elist_2EREVERSE,type,
% 5.52/5.75 c_2Elist_2EREVERSE: del > $i ).
% 5.52/5.75
% 5.52/5.75 thf(mem_c_2Elist_2EREVERSE,axiom,
% 5.52/5.75 ! [A_27a: del] : ( mem @ ( c_2Elist_2EREVERSE @ A_27a ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) ) ).
% 5.52/5.75
% 5.52/5.75 thf(tp_c_2Elist_2ESET__TO__LIST,type,
% 5.52/5.75 c_2Elist_2ESET__TO__LIST: del > $i ).
% 5.52/5.75
% 5.52/5.75 thf(mem_c_2Elist_2ESET__TO__LIST,axiom,
% 5.52/5.75 ! [A_27a: del] : ( mem @ ( c_2Elist_2ESET__TO__LIST @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( ty_2Elist_2Elist @ A_27a ) ) ) ).
% 5.52/5.75
% 5.52/5.75 thf(tp_c_2Elist_2ESHORTLEX,type,
% 5.52/5.75 c_2Elist_2ESHORTLEX: del > $i ).
% 5.52/5.75
% 5.52/5.75 thf(mem_c_2Elist_2ESHORTLEX,axiom,
% 5.52/5.75 ! [A_27a: del] : ( mem @ ( c_2Elist_2ESHORTLEX @ A_27a ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ bool ) ) ) ) ).
% 5.52/5.75
% 5.52/5.75 thf(tp_c_2Elist_2ESNOC,type,
% 5.52/5.75 c_2Elist_2ESNOC: del > $i ).
% 5.52/5.75
% 5.52/5.75 thf(mem_c_2Elist_2ESNOC,axiom,
% 5.52/5.75 ! [A_27a: del] : ( mem @ ( c_2Elist_2ESNOC @ A_27a ) @ ( arr @ A_27a @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) ) ) ).
% 5.52/5.75
% 5.52/5.75 thf(stp_c_ty_2Elist_2Elist_ty_2Enum_2Enum,type,
% 5.52/5.75 tp__c_ty_2Elist_2Elist_ty_2Enum_2Enum: $tType ).
% 5.52/5.75
% 5.52/5.75 thf(stp_inj_c_ty_2Elist_2Elist_ty_2Enum_2Enum,type,
% 5.52/5.75 inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum: tp__c_ty_2Elist_2Elist_ty_2Enum_2Enum > $i ).
% 5.52/5.75
% 5.52/5.75 thf(stp_surj_c_ty_2Elist_2Elist_ty_2Enum_2Enum,type,
% 5.52/5.75 surj__c_ty_2Elist_2Elist_ty_2Enum_2Enum: $i > tp__c_ty_2Elist_2Elist_ty_2Enum_2Enum ).
% 5.52/5.75
% 5.52/5.75 thf(stp_inj_surj_c_ty_2Elist_2Elist_ty_2Enum_2Enum,axiom,
% 5.52/5.75 ! [X: tp__c_ty_2Elist_2Elist_ty_2Enum_2Enum] :
% 5.52/5.75 ( ( surj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ X ) )
% 5.52/5.75 = X ) ).
% 5.52/5.75
% 5.52/5.75 thf(stp_inj_mem_c_ty_2Elist_2Elist_ty_2Enum_2Enum,axiom,
% 5.52/5.75 ! [X: tp__c_ty_2Elist_2Elist_ty_2Enum_2Enum] : ( mem @ ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ X ) @ ( ty_2Elist_2Elist @ ty_2Enum_2Enum ) ) ).
% 5.52/5.75
% 5.52/5.75 thf(stp_iso_mem_c_ty_2Elist_2Elist_ty_2Enum_2Enum,axiom,
% 5.52/5.75 ! [X: $i] :
% 5.52/5.75 ( ( mem @ X @ ( ty_2Elist_2Elist @ ty_2Enum_2Enum ) )
% 5.52/5.75 => ( X
% 5.52/5.75 = ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ ( surj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ X ) ) ) ) ).
% 5.52/5.75
% 5.52/5.75 thf(tp_c_2Elist_2ESUM,type,
% 5.52/5.75 c_2Elist_2ESUM: $i ).
% 5.52/5.75
% 5.52/5.75 thf(mem_c_2Elist_2ESUM,axiom,
% 5.52/5.75 mem @ c_2Elist_2ESUM @ ( arr @ ( ty_2Elist_2Elist @ ty_2Enum_2Enum ) @ ty_2Enum_2Enum ) ).
% 5.52/5.75
% 5.52/5.75 thf(stp_fo_c_2Elist_2ESUM,type,
% 5.52/5.75 fo__c_2Elist_2ESUM: tp__c_ty_2Elist_2Elist_ty_2Enum_2Enum > tp__ty_2Enum_2Enum ).
% 5.52/5.75
% 5.52/5.75 thf(stp_eq_fo_c_2Elist_2ESUM,axiom,
% 5.52/5.75 ! [X0: tp__c_ty_2Elist_2Elist_ty_2Enum_2Enum] :
% 5.52/5.75 ( ( inj__ty_2Enum_2Enum @ ( fo__c_2Elist_2ESUM @ X0 ) )
% 5.52/5.75 = ( ap @ c_2Elist_2ESUM @ ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ X0 ) ) ) ).
% 5.52/5.75
% 5.52/5.75 thf(tp_c_2Elist_2ESUM__ACC,type,
% 5.52/5.75 c_2Elist_2ESUM__ACC: $i ).
% 5.52/5.75
% 5.52/5.75 thf(mem_c_2Elist_2ESUM__ACC,axiom,
% 5.52/5.75 mem @ c_2Elist_2ESUM__ACC @ ( arr @ ( ty_2Elist_2Elist @ ty_2Enum_2Enum ) @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) ).
% 5.52/5.75
% 5.52/5.75 thf(stp_fo_c_2Elist_2ESUM__ACC,type,
% 5.52/5.75 fo__c_2Elist_2ESUM__ACC: tp__c_ty_2Elist_2Elist_ty_2Enum_2Enum > tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum ).
% 5.52/5.75
% 5.52/5.75 thf(stp_eq_fo_c_2Elist_2ESUM__ACC,axiom,
% 5.52/5.75 ! [X0: tp__c_ty_2Elist_2Elist_ty_2Enum_2Enum,X1: tp__ty_2Enum_2Enum] :
% 5.52/5.75 ( ( inj__ty_2Enum_2Enum @ ( fo__c_2Elist_2ESUM__ACC @ X0 @ X1 ) )
% 5.52/5.75 = ( ap @ ( ap @ c_2Elist_2ESUM__ACC @ ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ X0 ) ) @ ( inj__ty_2Enum_2Enum @ X1 ) ) ) ).
% 5.52/5.75
% 5.52/5.75 thf(tp_c_2Elist_2ETAKE,type,
% 5.52/5.75 c_2Elist_2ETAKE: del > $i ).
% 5.52/5.75
% 5.52/5.75 thf(mem_c_2Elist_2ETAKE,axiom,
% 5.52/5.75 ! [A_27a: del] : ( mem @ ( c_2Elist_2ETAKE @ A_27a ) @ ( arr @ ty_2Enum_2Enum @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) ) ) ).
% 5.52/5.75
% 5.52/5.75 thf(tp_c_2Elist_2ETL,type,
% 5.52/5.75 c_2Elist_2ETL: del > $i ).
% 5.52/5.75
% 5.52/5.75 thf(mem_c_2Elist_2ETL,axiom,
% 5.52/5.75 ! [A_27a: del] : ( mem @ ( c_2Elist_2ETL @ A_27a ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) ) ).
% 5.52/5.75
% 5.52/5.75 thf(tp_c_2Elist_2EUNIQUE,type,
% 5.52/5.75 c_2Elist_2EUNIQUE: del > $i ).
% 5.52/5.75
% 5.52/5.75 thf(mem_c_2Elist_2EUNIQUE,axiom,
% 5.52/5.75 ! [A_27a: del] : ( mem @ ( c_2Elist_2EUNIQUE @ A_27a ) @ ( arr @ A_27a @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ bool ) ) ) ).
% 5.52/5.75
% 5.52/5.75 thf(tp_c_2Elist_2EUNZIP,type,
% 5.52/5.75 c_2Elist_2EUNZIP: del > del > $i ).
% 5.52/5.75
% 5.52/5.75 thf(mem_c_2Elist_2EUNZIP,axiom,
% 5.52/5.75 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Elist_2EUNZIP @ A_27a @ A_27b ) @ ( arr @ ( ty_2Elist_2Elist @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27b ) ) ) ) ).
% 5.52/5.75
% 5.52/5.75 thf(tp_c_2Elist_2EZIP,type,
% 5.52/5.75 c_2Elist_2EZIP: del > del > $i ).
% 5.52/5.75
% 5.52/5.75 thf(mem_c_2Elist_2EZIP,axiom,
% 5.52/5.75 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Elist_2EZIP @ A_27a @ A_27b ) @ ( arr @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27b ) ) @ ( ty_2Elist_2Elist @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) ) ) ).
% 5.52/5.75
% 5.52/5.75 thf(tp_c_2Elist_2EdropWhile,type,
% 5.52/5.75 c_2Elist_2EdropWhile: del > $i ).
% 5.52/5.75
% 5.52/5.75 thf(mem_c_2Elist_2EdropWhile,axiom,
% 5.52/5.75 ! [A_27a: del] : ( mem @ ( c_2Elist_2EdropWhile @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) ) ) ).
% 5.52/5.75
% 5.52/5.75 thf(tp_c_2Elist_2EisPREFIX,type,
% 5.52/5.75 c_2Elist_2EisPREFIX: del > $i ).
% 5.52/5.75
% 5.52/5.75 thf(mem_c_2Elist_2EisPREFIX,axiom,
% 5.52/5.75 ! [A_27a: del] : ( mem @ ( c_2Elist_2EisPREFIX @ A_27a ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ bool ) ) ) ).
% 5.52/5.75
% 5.52/5.75 thf(tp_c_2Elist_2Elist__CASE,type,
% 5.52/5.75 c_2Elist_2Elist__CASE: del > del > $i ).
% 5.52/5.75
% 5.52/5.75 thf(mem_c_2Elist_2Elist__CASE,axiom,
% 5.52/5.75 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Elist_2Elist__CASE @ A_27a @ A_27b ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ A_27b @ ( arr @ ( arr @ A_27a @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ A_27b ) ) @ A_27b ) ) ) ) ).
% 5.52/5.75
% 5.52/5.75 thf(tp_c_2Elist_2Elist__size,type,
% 5.52/5.75 c_2Elist_2Elist__size: del > $i ).
% 5.52/5.75
% 5.52/5.75 thf(mem_c_2Elist_2Elist__size,axiom,
% 5.52/5.75 ! [A_27a: del] : ( mem @ ( c_2Elist_2Elist__size @ A_27a ) @ ( arr @ ( arr @ A_27a @ ty_2Enum_2Enum ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ty_2Enum_2Enum ) ) ) ).
% 5.52/5.75
% 5.52/5.75 thf(tp_c_2Elist_2Enub,type,
% 5.52/5.75 c_2Elist_2Enub: del > $i ).
% 5.52/5.75
% 5.52/5.75 thf(mem_c_2Elist_2Enub,axiom,
% 5.52/5.75 ! [A_27a: del] : ( mem @ ( c_2Elist_2Enub @ A_27a ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) ) ).
% 5.52/5.75
% 5.52/5.75 thf(tp_c_2Elist_2EoEL,type,
% 5.52/5.75 c_2Elist_2EoEL: del > $i ).
% 5.52/5.75
% 5.52/5.75 thf(mem_c_2Elist_2EoEL,axiom,
% 5.52/5.75 ! [A_27a: del] : ( mem @ ( c_2Elist_2EoEL @ A_27a ) @ ( arr @ ty_2Enum_2Enum @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Eoption_2Eoption @ A_27a ) ) ) ) ).
% 5.52/5.75
% 5.52/5.75 thf(tp_c_2Elist_2EoHD,type,
% 5.52/5.75 c_2Elist_2EoHD: del > $i ).
% 5.52/5.75
% 5.52/5.75 thf(mem_c_2Elist_2EoHD,axiom,
% 5.52/5.75 ! [A_27a: del] : ( mem @ ( c_2Elist_2EoHD @ A_27a ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Eoption_2Eoption @ A_27a ) ) ) ).
% 5.52/5.75
% 5.52/5.75 thf(tp_c_2Elist_2EsplitAtPki,type,
% 5.52/5.75 c_2Elist_2EsplitAtPki: del > del > $i ).
% 5.52/5.75
% 5.52/5.75 thf(mem_c_2Elist_2EsplitAtPki,axiom,
% 5.52/5.75 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Elist_2EsplitAtPki @ A_27a @ A_27b ) @ ( arr @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27b @ bool ) ) @ ( arr @ ( arr @ ( ty_2Elist_2Elist @ A_27b ) @ ( arr @ ( ty_2Elist_2Elist @ A_27b ) @ A_27a ) ) @ ( arr @ ( ty_2Elist_2Elist @ A_27b ) @ A_27a ) ) ) ) ).
% 5.52/5.75
% 5.52/5.75 thf(ax_thm_2Elist_2Elist__TY__DEF,axiom,
% 5.52/5.75 ! [A_27a: del] :
% 5.52/5.75 ? [V0rep: $i] :
% 5.52/5.75 ( ( mem @ V0rep @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Eind__type_2Erecspace @ A_27a ) ) )
% 5.52/5.75 & ( p
% 5.52/5.75 @ ( ap
% 5.52/5.75 @ ( ap @ ( c_2Ebool_2ETYPE__DEFINITION @ ( ty_2Eind__type_2Erecspace @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.75 @ ( lam @ ( ty_2Eind__type_2Erecspace @ A_27a )
% 5.52/5.75 @ ^ [V1a0_27: $i] :
% 5.52/5.75 ( ap @ ( c_2Ebool_2E_21 @ ( arr @ ( ty_2Eind__type_2Erecspace @ A_27a ) @ bool ) )
% 5.52/5.75 @ ( lam @ ( arr @ ( ty_2Eind__type_2Erecspace @ A_27a ) @ bool )
% 5.52/5.75 @ ^ [V2_27list_27: $i] :
% 5.52/5.75 ( ap
% 5.52/5.75 @ ( ap @ c_2Emin_2E_3D_3D_3E
% 5.52/5.75 @ ( ap @ ( c_2Ebool_2E_21 @ ( ty_2Eind__type_2Erecspace @ A_27a ) )
% 5.52/5.75 @ ( lam @ ( ty_2Eind__type_2Erecspace @ A_27a )
% 5.52/5.75 @ ^ [V3a0_27: $i] :
% 5.52/5.75 ( ap
% 5.52/5.75 @ ( ap @ c_2Emin_2E_3D_3D_3E
% 5.52/5.75 @ ( ap
% 5.52/5.75 @ ( ap @ c_2Ebool_2E_5C_2F
% 5.52/5.75 @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Eind__type_2Erecspace @ A_27a ) ) @ V3a0_27 )
% 5.52/5.75 @ ( ap @ ( ap @ ( ap @ ( c_2Eind__type_2ECONSTR @ A_27a ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( c_2Ebool_2EARB @ A_27a ) )
% 5.52/5.75 @ ( lam @ ty_2Enum_2Enum
% 5.52/5.75 @ ^ [V4n: $i] : ( c_2Eind__type_2EBOTTOM @ A_27a ) ) ) ) )
% 5.52/5.75 @ ( ap @ ( c_2Ebool_2E_3F @ A_27a )
% 5.52/5.75 @ ( lam @ A_27a
% 5.52/5.75 @ ^ [V5a0: $i] :
% 5.52/5.75 ( ap @ ( c_2Ebool_2E_3F @ ( ty_2Eind__type_2Erecspace @ A_27a ) )
% 5.52/5.75 @ ( lam @ ( ty_2Eind__type_2Erecspace @ A_27a )
% 5.52/5.75 @ ^ [V6a1: $i] :
% 5.52/5.75 ( ap
% 5.52/5.75 @ ( ap @ c_2Ebool_2E_2F_5C
% 5.52/5.75 @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Eind__type_2Erecspace @ A_27a ) ) @ V3a0_27 )
% 5.52/5.75 @ ( ap
% 5.52/5.75 @ ( ap
% 5.52/5.75 @ ( lam @ A_27a
% 5.52/5.75 @ ^ [V7a0: $i] :
% 5.52/5.75 ( lam @ ( ty_2Eind__type_2Erecspace @ A_27a )
% 5.52/5.75 @ ^ [V8a1: $i] :
% 5.52/5.75 ( ap @ ( ap @ ( ap @ ( c_2Eind__type_2ECONSTR @ A_27a ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) @ V7a0 )
% 5.52/5.75 @ ( ap @ ( ap @ ( c_2Eind__type_2EFCONS @ ( ty_2Eind__type_2Erecspace @ A_27a ) ) @ V8a1 )
% 5.52/5.75 @ ( lam @ ty_2Enum_2Enum
% 5.52/5.75 @ ^ [V9n: $i] : ( c_2Eind__type_2EBOTTOM @ A_27a ) ) ) ) ) )
% 5.52/5.75 @ V5a0 )
% 5.52/5.75 @ V6a1 ) ) )
% 5.52/5.75 @ ( ap @ V2_27list_27 @ V6a1 ) ) ) ) ) ) ) )
% 5.52/5.75 @ ( ap @ V2_27list_27 @ V3a0_27 ) ) ) ) )
% 5.52/5.75 @ ( ap @ V2_27list_27 @ V1a0_27 ) ) ) ) ) )
% 5.52/5.75 @ V0rep ) ) ) ).
% 5.52/5.75
% 5.52/5.75 thf(ax_thm_2Elist_2Elist__case__def,axiom,
% 5.52/5.75 ! [A_27a: del,A_27b: del] :
% 5.52/5.75 ( ! [V0v: $i] :
% 5.52/5.75 ( ( mem @ V0v @ A_27b )
% 5.52/5.75 => ! [V1f: $i] :
% 5.52/5.75 ( ( mem @ V1f @ ( arr @ A_27a @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ A_27b ) ) )
% 5.52/5.75 => ( ( ap @ ( ap @ ( ap @ ( c_2Elist_2Elist__CASE @ A_27a @ A_27b ) @ ( c_2Elist_2ENIL @ A_27a ) ) @ V0v ) @ V1f )
% 5.52/5.75 = V0v ) ) )
% 5.52/5.75 & ! [V2a0: $i] :
% 5.52/5.75 ( ( mem @ V2a0 @ A_27a )
% 5.52/5.75 => ! [V3a1: $i] :
% 5.52/5.75 ( ( mem @ V3a1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.75 => ! [V4v: $i] :
% 5.52/5.75 ( ( mem @ V4v @ A_27b )
% 5.52/5.75 => ! [V5f: $i] :
% 5.52/5.75 ( ( mem @ V5f @ ( arr @ A_27a @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ A_27b ) ) )
% 5.52/5.75 => ( ( ap @ ( ap @ ( ap @ ( c_2Elist_2Elist__CASE @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2a0 ) @ V3a1 ) ) @ V4v ) @ V5f )
% 5.52/5.75 = ( ap @ ( ap @ V5f @ V2a0 ) @ V3a1 ) ) ) ) ) ) ) ).
% 5.52/5.75
% 5.52/5.75 thf(ax_thm_2Elist_2Elist__size__def,axiom,
% 5.52/5.75 ! [A_27a: del] :
% 5.52/5.75 ( ! [V0f: $i] :
% 5.52/5.75 ( ( mem @ V0f @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.52/5.75 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( c_2Elist_2Elist__size @ A_27a ) @ V0f ) @ ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.52/5.75 = fo__c_2Enum_2E0 ) )
% 5.52/5.75 & ! [V1f: $i] :
% 5.52/5.75 ( ( mem @ V1f @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.52/5.75 => ! [V2a0: $i] :
% 5.52/5.75 ( ( mem @ V2a0 @ A_27a )
% 5.52/5.75 => ! [V3a1: $i] :
% 5.52/5.75 ( ( mem @ V3a1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.75 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( c_2Elist_2Elist__size @ A_27a ) @ V1f ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2a0 ) @ V3a1 ) ) )
% 5.52/5.75 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ V1f @ V2a0 ) ) @ ( ap @ ( ap @ ( c_2Elist_2Elist__size @ A_27a ) @ V1f ) @ V3a1 ) ) ) ) ) ) ) ) ) ).
% 5.52/5.75
% 5.52/5.75 thf(conj_thm_2Elist_2Edatatype__list,axiom,
% 5.52/5.75 ! [A_27a: del,V0list: $i] :
% 5.52/5.75 ( ( mem @ V0list @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ ( arr @ A_27a @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) ) @ bool ) ) )
% 5.52/5.75 => ( p @ ( ap @ ( c_2Ebool_2EDATATYPE @ bool ) @ ( ap @ ( ap @ V0list @ ( c_2Elist_2ENIL @ A_27a ) ) @ ( c_2Elist_2ECONS @ A_27a ) ) ) ) ) ).
% 5.52/5.75
% 5.52/5.75 thf(conj_thm_2Elist_2Elist__11,axiom,
% 5.52/5.75 ! [A_27a: del,V0a0: $i] :
% 5.52/5.75 ( ( mem @ V0a0 @ A_27a )
% 5.52/5.75 => ! [V1a1: $i] :
% 5.52/5.75 ( ( mem @ V1a1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.75 => ! [V2a0_27: $i] :
% 5.52/5.75 ( ( mem @ V2a0_27 @ A_27a )
% 5.52/5.75 => ! [V3a1_27: $i] :
% 5.52/5.75 ( ( mem @ V3a1_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.75 => ( ( ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V0a0 ) @ V1a1 )
% 5.52/5.75 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2a0_27 ) @ V3a1_27 ) )
% 5.52/5.75 <=> ( ( V0a0 = V2a0_27 )
% 5.52/5.75 & ( V1a1 = V3a1_27 ) ) ) ) ) ) ) ).
% 5.52/5.75
% 5.52/5.75 thf(conj_thm_2Elist_2Elist__distinct,axiom,
% 5.52/5.75 ! [A_27a: del,V0a1: $i] :
% 5.52/5.75 ( ( mem @ V0a1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.75 => ! [V1a0: $i] :
% 5.52/5.75 ( ( mem @ V1a0 @ A_27a )
% 5.52/5.75 => ( ( c_2Elist_2ENIL @ A_27a )
% 5.52/5.75 != ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1a0 ) @ V0a1 ) ) ) ) ).
% 5.52/5.75
% 5.52/5.75 thf(conj_thm_2Elist_2Elist__Axiom,axiom,
% 5.52/5.75 ! [A_27a: del,A_27b: del,V0f0: $i] :
% 5.52/5.75 ( ( mem @ V0f0 @ A_27b )
% 5.52/5.75 => ! [V1f1: $i] :
% 5.52/5.75 ( ( mem @ V1f1 @ ( arr @ A_27a @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ A_27b @ A_27b ) ) ) )
% 5.52/5.75 => ? [V2fn: $i] :
% 5.52/5.75 ( ( mem @ V2fn @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ A_27b ) )
% 5.52/5.75 & ( ( ap @ V2fn @ ( c_2Elist_2ENIL @ A_27a ) )
% 5.52/5.75 = V0f0 )
% 5.52/5.75 & ! [V3a0: $i] :
% 5.52/5.75 ( ( mem @ V3a0 @ A_27a )
% 5.52/5.75 => ! [V4a1: $i] :
% 5.52/5.75 ( ( mem @ V4a1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.75 => ( ( ap @ V2fn @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3a0 ) @ V4a1 ) )
% 5.52/5.75 = ( ap @ ( ap @ ( ap @ V1f1 @ V3a0 ) @ V4a1 ) @ ( ap @ V2fn @ V4a1 ) ) ) ) ) ) ) ) ).
% 5.52/5.75
% 5.52/5.75 thf(conj_thm_2Elist_2Elist__case__cong,axiom,
% 5.52/5.75 ! [A_27a: del,A_27b: del,V0v_27: $i] :
% 5.52/5.75 ( ( mem @ V0v_27 @ A_27b )
% 5.52/5.75 => ! [V1f_27: $i] :
% 5.52/5.75 ( ( mem @ V1f_27 @ ( arr @ A_27a @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ A_27b ) ) )
% 5.52/5.75 => ! [V2M: $i] :
% 5.52/5.75 ( ( mem @ V2M @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.75 => ! [V3M_27: $i] :
% 5.52/5.75 ( ( mem @ V3M_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.75 => ! [V4v: $i] :
% 5.52/5.75 ( ( mem @ V4v @ A_27b )
% 5.52/5.75 => ! [V5f: $i] :
% 5.52/5.75 ( ( mem @ V5f @ ( arr @ A_27a @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ A_27b ) ) )
% 5.52/5.75 => ( ( ( V2M = V3M_27 )
% 5.52/5.75 & ( ( V3M_27
% 5.52/5.75 = ( c_2Elist_2ENIL @ A_27a ) )
% 5.52/5.75 => ( V4v = V0v_27 ) )
% 5.52/5.75 & ! [V6a0: $i] :
% 5.52/5.75 ( ( mem @ V6a0 @ A_27a )
% 5.52/5.75 => ! [V7a1: $i] :
% 5.52/5.75 ( ( mem @ V7a1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.75 => ( ( V3M_27
% 5.52/5.75 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V6a0 ) @ V7a1 ) )
% 5.52/5.75 => ( ( ap @ ( ap @ V5f @ V6a0 ) @ V7a1 )
% 5.52/5.75 = ( ap @ ( ap @ V1f_27 @ V6a0 ) @ V7a1 ) ) ) ) ) )
% 5.52/5.75 => ( ( ap @ ( ap @ ( ap @ ( c_2Elist_2Elist__CASE @ A_27a @ A_27b ) @ V2M ) @ V4v ) @ V5f )
% 5.52/5.75 = ( ap @ ( ap @ ( ap @ ( c_2Elist_2Elist__CASE @ A_27a @ A_27b ) @ V3M_27 ) @ V0v_27 ) @ V1f_27 ) ) ) ) ) ) ) ) ) ).
% 5.52/5.75
% 5.52/5.75 thf(conj_thm_2Elist_2Elist__case__eq,axiom,
% 5.52/5.75 ! [A_27a: del,A_27b: del,V0x: $i] :
% 5.52/5.75 ( ( mem @ V0x @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.75 => ! [V1v: $i] :
% 5.52/5.75 ( ( mem @ V1v @ A_27b )
% 5.52/5.75 => ! [V2f: $i] :
% 5.52/5.75 ( ( mem @ V2f @ ( arr @ A_27a @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ A_27b ) ) )
% 5.52/5.75 => ! [V3v_27: $i] :
% 5.52/5.75 ( ( mem @ V3v_27 @ A_27b )
% 5.52/5.75 => ( ( ( ap @ ( ap @ ( ap @ ( c_2Elist_2Elist__CASE @ A_27a @ A_27b ) @ V0x ) @ V1v ) @ V2f )
% 5.52/5.75 = V3v_27 )
% 5.52/5.75 <=> ( ( ( V0x
% 5.52/5.75 = ( c_2Elist_2ENIL @ A_27a ) )
% 5.52/5.75 & ( V1v = V3v_27 ) )
% 5.52/5.75 | ? [V4a: $i] :
% 5.52/5.75 ( ( mem @ V4a @ A_27a )
% 5.52/5.75 & ? [V5l: $i] :
% 5.52/5.75 ( ( mem @ V5l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.75 & ( V0x
% 5.52/5.75 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4a ) @ V5l ) )
% 5.52/5.75 & ( ( ap @ ( ap @ V2f @ V4a ) @ V5l )
% 5.52/5.75 = V3v_27 ) ) ) ) ) ) ) ) ) ).
% 5.52/5.75
% 5.52/5.75 thf(conj_thm_2Elist_2Elist__Axiom__old,axiom,
% 5.52/5.75 ! [A_27a: del,A_27b: del,V0x: $i] :
% 5.52/5.75 ( ( mem @ V0x @ A_27b )
% 5.52/5.75 => ! [V1f: $i] :
% 5.52/5.75 ( ( mem @ V1f @ ( arr @ A_27b @ ( arr @ A_27a @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ A_27b ) ) ) )
% 5.52/5.75 => ( p
% 5.52/5.75 @ ( ap @ ( c_2Ebool_2E_3F_21 @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ A_27b ) )
% 5.52/5.75 @ ( lam @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ A_27b )
% 5.52/5.75 @ ^ [V2fn1: $i] :
% 5.52/5.75 ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27b ) @ ( ap @ V2fn1 @ ( c_2Elist_2ENIL @ A_27a ) ) ) @ V0x ) )
% 5.52/5.75 @ ( ap @ ( c_2Ebool_2E_21 @ A_27a )
% 5.52/5.75 @ ( lam @ A_27a
% 5.52/5.75 @ ^ [V3h: $i] :
% 5.52/5.75 ( ap @ ( c_2Ebool_2E_21 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.75 @ ( lam @ ( ty_2Elist_2Elist @ A_27a )
% 5.52/5.75 @ ^ [V4t: $i] : ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27b ) @ ( ap @ V2fn1 @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3h ) @ V4t ) ) ) @ ( ap @ ( ap @ ( ap @ V1f @ ( ap @ V2fn1 @ V4t ) ) @ V3h ) @ V4t ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.52/5.75
% 5.52/5.75 thf(ax_thm_2Elist_2ENULL__DEF,axiom,
% 5.52/5.75 ! [A_27a: del] :
% 5.52/5.75 ( ( ( p @ ( ap @ ( c_2Elist_2ENULL @ A_27a ) @ ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.52/5.75 <=> $true )
% 5.52/5.75 & ! [V0h: $i] :
% 5.52/5.75 ( ( mem @ V0h @ A_27a )
% 5.52/5.75 => ! [V1t: $i] :
% 5.52/5.75 ( ( mem @ V1t @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.75 => ( ( p @ ( ap @ ( c_2Elist_2ENULL @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V0h ) @ V1t ) ) )
% 5.52/5.75 <=> $false ) ) ) ) ).
% 5.52/5.75
% 5.52/5.75 thf(ax_thm_2Elist_2EHD,axiom,
% 5.52/5.75 ! [A_27a: del,V0h: $i] :
% 5.52/5.75 ( ( mem @ V0h @ A_27a )
% 5.52/5.75 => ! [V1t: $i] :
% 5.52/5.75 ( ( mem @ V1t @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.75 => ( ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V0h ) @ V1t ) )
% 5.52/5.75 = V0h ) ) ) ).
% 5.52/5.75
% 5.52/5.75 thf(ax_thm_2Elist_2ETL__DEF,axiom,
% 5.52/5.75 ! [A_27a: del] :
% 5.52/5.75 ( ( ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( c_2Elist_2ENIL @ A_27a ) )
% 5.52/5.75 = ( c_2Elist_2ENIL @ A_27a ) )
% 5.52/5.75 & ! [V0h: $i] :
% 5.52/5.75 ( ( mem @ V0h @ A_27a )
% 5.52/5.75 => ! [V1t: $i] :
% 5.52/5.75 ( ( mem @ V1t @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.75 => ( ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V0h ) @ V1t ) )
% 5.52/5.75 = V1t ) ) ) ) ).
% 5.52/5.75
% 5.52/5.75 thf(conj_thm_2Elist_2ETL,axiom,
% 5.52/5.75 ! [A_27a: del,V0h: $i] :
% 5.52/5.75 ( ( mem @ V0h @ A_27a )
% 5.52/5.75 => ! [V1t: $i] :
% 5.52/5.75 ( ( mem @ V1t @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.75 => ( ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V0h ) @ V1t ) )
% 5.52/5.75 = V1t ) ) ) ).
% 5.52/5.75
% 5.52/5.75 thf(ax_thm_2Elist_2ESUM,axiom,
% 5.52/5.75 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Elist_2ESUM @ ( c_2Elist_2ENIL @ ty_2Enum_2Enum ) ) )
% 5.52/5.75 = fo__c_2Enum_2E0 )
% 5.52/5.75 & ! [V0h: tp__ty_2Enum_2Enum,V1t: tp__c_ty_2Elist_2Elist_ty_2Enum_2Enum] :
% 5.52/5.75 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Elist_2ESUM @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V0h ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ V1t ) ) ) )
% 5.52/5.75 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0h ) ) @ ( ap @ c_2Elist_2ESUM @ ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ V1t ) ) ) ) ) ) ).
% 5.52/5.75
% 5.52/5.75 thf(ax_thm_2Elist_2EAPPEND,axiom,
% 5.52/5.75 ! [A_27a: del] :
% 5.52/5.75 ( ! [V0l: $i] :
% 5.52/5.75 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.75 => ( ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ ( c_2Elist_2ENIL @ A_27a ) ) @ V0l )
% 5.52/5.75 = V0l ) )
% 5.52/5.75 & ! [V1l1: $i] :
% 5.52/5.75 ( ( mem @ V1l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.75 => ! [V2l2: $i] :
% 5.52/5.75 ( ( mem @ V2l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.75 => ! [V3h: $i] :
% 5.52/5.75 ( ( mem @ V3h @ A_27a )
% 5.52/5.75 => ( ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3h ) @ V1l1 ) ) @ V2l2 )
% 5.52/5.75 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3h ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V1l1 ) @ V2l2 ) ) ) ) ) ) ) ).
% 5.52/5.75
% 5.52/5.75 thf(ax_thm_2Elist_2EFLAT,axiom,
% 5.52/5.75 ! [A_27a: del] :
% 5.52/5.75 ( ( ( ap @ ( c_2Elist_2EFLAT @ A_27a ) @ ( c_2Elist_2ENIL @ ( ty_2Elist_2Elist @ A_27a ) ) )
% 5.52/5.75 = ( c_2Elist_2ENIL @ A_27a ) )
% 5.52/5.75 & ! [V0h: $i] :
% 5.52/5.75 ( ( mem @ V0h @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.75 => ! [V1t: $i] :
% 5.52/5.75 ( ( mem @ V1t @ ( ty_2Elist_2Elist @ ( ty_2Elist_2Elist @ A_27a ) ) )
% 5.52/5.75 => ( ( ap @ ( c_2Elist_2EFLAT @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ( ty_2Elist_2Elist @ A_27a ) ) @ V0h ) @ V1t ) )
% 5.52/5.75 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V0h ) @ ( ap @ ( c_2Elist_2EFLAT @ A_27a ) @ V1t ) ) ) ) ) ) ).
% 5.52/5.75
% 5.52/5.75 thf(ax_thm_2Elist_2ELENGTH,axiom,
% 5.52/5.75 ! [A_27a: del] :
% 5.52/5.75 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.52/5.75 = fo__c_2Enum_2E0 )
% 5.52/5.75 & ! [V0h: $i] :
% 5.52/5.75 ( ( mem @ V0h @ A_27a )
% 5.52/5.75 => ! [V1t: $i] :
% 5.52/5.75 ( ( mem @ V1t @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.75 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V0h ) @ V1t ) ) )
% 5.52/5.75 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enum_2ESUC @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1t ) ) ) ) ) ) ) ).
% 5.52/5.75
% 5.52/5.75 thf(ax_thm_2Elist_2EMAP,axiom,
% 5.52/5.75 ! [A_27a: del,A_27b: del] :
% 5.52/5.75 ( ! [V0f: $i] :
% 5.52/5.75 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.52/5.75 => ( ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27a @ A_27b ) @ V0f ) @ ( c_2Elist_2ENIL @ A_27a ) )
% 5.52/5.75 = ( c_2Elist_2ENIL @ A_27b ) ) )
% 5.52/5.75 & ! [V1f: $i] :
% 5.52/5.75 ( ( mem @ V1f @ ( arr @ A_27a @ A_27b ) )
% 5.52/5.75 => ! [V2h: $i] :
% 5.52/5.75 ( ( mem @ V2h @ A_27a )
% 5.52/5.75 => ! [V3t: $i] :
% 5.52/5.75 ( ( mem @ V3t @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.75 => ( ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27a @ A_27b ) @ V1f ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2h ) @ V3t ) )
% 5.52/5.75 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27b ) @ ( ap @ V1f @ V2h ) ) @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27a @ A_27b ) @ V1f ) @ V3t ) ) ) ) ) ) ) ).
% 5.52/5.75
% 5.52/5.75 thf(ax_thm_2Elist_2ELIST__TO__SET__DEF,axiom,
% 5.52/5.75 ! [A_27a: del] :
% 5.52/5.75 ( ! [V0x: $i] :
% 5.52/5.75 ( ( mem @ V0x @ A_27a )
% 5.52/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ ( c_2Elist_2ENIL @ A_27a ) ) @ V0x ) )
% 5.52/5.75 <=> $false ) )
% 5.52/5.75 & ! [V1h: $i] :
% 5.52/5.75 ( ( mem @ V1h @ A_27a )
% 5.52/5.75 => ! [V2t: $i] :
% 5.52/5.75 ( ( mem @ V2t @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.75 => ! [V3x: $i] :
% 5.52/5.75 ( ( mem @ V3x @ A_27a )
% 5.52/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1h ) @ V2t ) ) @ V3x ) )
% 5.52/5.75 <=> ( ( V3x = V1h )
% 5.52/5.75 | ( p @ ( ap @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V2t ) @ V3x ) ) ) ) ) ) ) ) ).
% 5.52/5.75
% 5.52/5.75 thf(conj_thm_2Elist_2ELIST__TO__SET,axiom,
% 5.52/5.75 ! [A_27a: del,A_27b: del,V0h: $i] :
% 5.52/5.75 ( ( mem @ V0h @ A_27b )
% 5.52/5.75 => ! [V1t: $i] :
% 5.52/5.75 ( ( mem @ V1t @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.52/5.75 => ( ( ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ ( c_2Elist_2ENIL @ A_27a ) )
% 5.52/5.75 = ( c_2Epred__set_2EEMPTY @ A_27a ) )
% 5.52/5.75 & ( ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27b ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27b ) @ V0h ) @ V1t ) )
% 5.52/5.75 = ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27b ) @ V0h ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27b ) @ V1t ) ) ) ) ) ) ).
% 5.52/5.75
% 5.52/5.75 thf(ax_thm_2Elist_2EFILTER,axiom,
% 5.52/5.75 ! [A_27a: del] :
% 5.52/5.75 ( ! [V0P: $i] :
% 5.52/5.75 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.52/5.75 => ( ( ap @ ( ap @ ( c_2Elist_2EFILTER @ A_27a ) @ V0P ) @ ( c_2Elist_2ENIL @ A_27a ) )
% 5.52/5.75 = ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.52/5.75 & ! [V1P: $i] :
% 5.52/5.75 ( ( mem @ V1P @ ( arr @ A_27a @ bool ) )
% 5.52/5.75 => ! [V2h: $i] :
% 5.52/5.75 ( ( mem @ V2h @ A_27a )
% 5.52/5.75 => ! [V3t: $i] :
% 5.52/5.75 ( ( mem @ V3t @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.75 => ( ( ap @ ( ap @ ( c_2Elist_2EFILTER @ A_27a ) @ V1P ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2h ) @ V3t ) )
% 5.52/5.75 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ap @ V1P @ V2h ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2h ) @ ( ap @ ( ap @ ( c_2Elist_2EFILTER @ A_27a ) @ V1P ) @ V3t ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2EFILTER @ A_27a ) @ V1P ) @ V3t ) ) ) ) ) ) ) ).
% 5.52/5.75
% 5.52/5.75 thf(ax_thm_2Elist_2EFOLDR,axiom,
% 5.52/5.75 ! [A_27a: del,A_27b: del] :
% 5.52/5.75 ( ! [V0f: $i] :
% 5.52/5.75 ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27b @ A_27b ) ) )
% 5.52/5.75 => ! [V1e: $i] :
% 5.52/5.75 ( ( mem @ V1e @ A_27b )
% 5.52/5.75 => ( ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDR @ A_27a @ A_27b ) @ V0f ) @ V1e ) @ ( c_2Elist_2ENIL @ A_27a ) )
% 5.52/5.75 = V1e ) ) )
% 5.52/5.75 & ! [V2f: $i] :
% 5.52/5.75 ( ( mem @ V2f @ ( arr @ A_27a @ ( arr @ A_27b @ A_27b ) ) )
% 5.52/5.75 => ! [V3e: $i] :
% 5.52/5.75 ( ( mem @ V3e @ A_27b )
% 5.52/5.75 => ! [V4x: $i] :
% 5.52/5.75 ( ( mem @ V4x @ A_27a )
% 5.52/5.75 => ! [V5l: $i] :
% 5.52/5.75 ( ( mem @ V5l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.75 => ( ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDR @ A_27a @ A_27b ) @ V2f ) @ V3e ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4x ) @ V5l ) )
% 5.52/5.75 = ( ap @ ( ap @ V2f @ V4x ) @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDR @ A_27a @ A_27b ) @ V2f ) @ V3e ) @ V5l ) ) ) ) ) ) ) ) ).
% 5.52/5.75
% 5.52/5.75 thf(ax_thm_2Elist_2EFOLDL,axiom,
% 5.52/5.75 ! [A_27a: del,A_27b: del] :
% 5.52/5.75 ( ! [V0f: $i] :
% 5.52/5.75 ( ( mem @ V0f @ ( arr @ A_27b @ ( arr @ A_27a @ A_27b ) ) )
% 5.52/5.75 => ! [V1e: $i] :
% 5.52/5.75 ( ( mem @ V1e @ A_27b )
% 5.52/5.75 => ( ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDL @ A_27a @ A_27b ) @ V0f ) @ V1e ) @ ( c_2Elist_2ENIL @ A_27a ) )
% 5.52/5.75 = V1e ) ) )
% 5.52/5.75 & ! [V2f: $i] :
% 5.52/5.75 ( ( mem @ V2f @ ( arr @ A_27b @ ( arr @ A_27a @ A_27b ) ) )
% 5.52/5.75 => ! [V3e: $i] :
% 5.52/5.75 ( ( mem @ V3e @ A_27b )
% 5.52/5.75 => ! [V4x: $i] :
% 5.52/5.75 ( ( mem @ V4x @ A_27a )
% 5.52/5.75 => ! [V5l: $i] :
% 5.52/5.75 ( ( mem @ V5l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.75 => ( ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDL @ A_27a @ A_27b ) @ V2f ) @ V3e ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4x ) @ V5l ) )
% 5.52/5.75 = ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDL @ A_27a @ A_27b ) @ V2f ) @ ( ap @ ( ap @ V2f @ V3e ) @ V4x ) ) @ V5l ) ) ) ) ) ) ) ).
% 5.52/5.75
% 5.52/5.75 thf(ax_thm_2Elist_2EEVERY__DEF,axiom,
% 5.52/5.75 ! [A_27a: del] :
% 5.52/5.75 ( ! [V0P: $i] :
% 5.52/5.75 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.52/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EEVERY @ A_27a ) @ V0P ) @ ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.52/5.75 <=> $true ) )
% 5.52/5.75 & ! [V1P: $i] :
% 5.52/5.75 ( ( mem @ V1P @ ( arr @ A_27a @ bool ) )
% 5.52/5.75 => ! [V2h: $i] :
% 5.52/5.75 ( ( mem @ V2h @ A_27a )
% 5.52/5.75 => ! [V3t: $i] :
% 5.52/5.75 ( ( mem @ V3t @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EEVERY @ A_27a ) @ V1P ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2h ) @ V3t ) ) )
% 5.52/5.75 <=> ( ( p @ ( ap @ V1P @ V2h ) )
% 5.52/5.75 & ( p @ ( ap @ ( ap @ ( c_2Elist_2EEVERY @ A_27a ) @ V1P ) @ V3t ) ) ) ) ) ) ) ) ).
% 5.52/5.75
% 5.52/5.75 thf(ax_thm_2Elist_2EEXISTS__DEF,axiom,
% 5.52/5.75 ! [A_27a: del] :
% 5.52/5.75 ( ! [V0P: $i] :
% 5.52/5.75 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.52/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EEXISTS @ A_27a ) @ V0P ) @ ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.52/5.75 <=> $false ) )
% 5.52/5.75 & ! [V1P: $i] :
% 5.52/5.75 ( ( mem @ V1P @ ( arr @ A_27a @ bool ) )
% 5.52/5.75 => ! [V2h: $i] :
% 5.52/5.75 ( ( mem @ V2h @ A_27a )
% 5.52/5.75 => ! [V3t: $i] :
% 5.52/5.75 ( ( mem @ V3t @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.75 => ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EEXISTS @ A_27a ) @ V1P ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2h ) @ V3t ) ) )
% 5.52/5.75 <=> ( ( p @ ( ap @ V1P @ V2h ) )
% 5.52/5.75 | ( p @ ( ap @ ( ap @ ( c_2Elist_2EEXISTS @ A_27a ) @ V1P ) @ V3t ) ) ) ) ) ) ) ) ).
% 5.52/5.75
% 5.52/5.75 thf(ax_thm_2Elist_2EEL,axiom,
% 5.52/5.75 ! [A_27a: del] :
% 5.52/5.75 ( ! [V0l: $i] :
% 5.52/5.75 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.75 => ( ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ V0l )
% 5.52/5.75 = ( ap @ ( c_2Elist_2EHD @ A_27a ) @ V0l ) ) )
% 5.52/5.75 & ! [V1l: $i] :
% 5.52/5.75 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.75 => ! [V2n: tp__ty_2Enum_2Enum] :
% 5.52/5.75 ( ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) @ V1l )
% 5.52/5.75 = ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V1l ) ) ) ) ) ).
% 5.52/5.75
% 5.52/5.75 thf(conj_thm_2Elist_2EMAP2__ind,axiom,
% 5.52/5.75 ! [A_27a: del,A_27b: del,A_27c: del,V0P: $i] :
% 5.52/5.75 ( ( mem @ V0P @ ( arr @ ( arr @ A_27b @ ( arr @ A_27c @ A_27a ) ) @ ( arr @ ( ty_2Elist_2Elist @ A_27b ) @ ( arr @ ( ty_2Elist_2Elist @ A_27c ) @ bool ) ) ) )
% 5.52/5.75 => ( ( ! [V1f: $i] :
% 5.52/5.75 ( ( mem @ V1f @ ( arr @ A_27b @ ( arr @ A_27c @ A_27a ) ) )
% 5.52/5.75 => ! [V2h1: $i] :
% 5.52/5.75 ( ( mem @ V2h1 @ A_27b )
% 5.52/5.75 => ! [V3t1: $i] :
% 5.52/5.75 ( ( mem @ V3t1 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.52/5.75 => ! [V4h2: $i] :
% 5.52/5.75 ( ( mem @ V4h2 @ A_27c )
% 5.52/5.75 => ! [V5t2: $i] :
% 5.52/5.75 ( ( mem @ V5t2 @ ( ty_2Elist_2Elist @ A_27c ) )
% 5.52/5.75 => ( ( p @ ( ap @ ( ap @ ( ap @ V0P @ V1f ) @ V3t1 ) @ V5t2 ) )
% 5.52/5.75 => ( p @ ( ap @ ( ap @ ( ap @ V0P @ V1f ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27b ) @ V2h1 ) @ V3t1 ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27c ) @ V4h2 ) @ V5t2 ) ) ) ) ) ) ) ) )
% 5.52/5.75 & ! [V6f: $i] :
% 5.52/5.75 ( ( mem @ V6f @ ( arr @ A_27b @ ( arr @ A_27c @ A_27a ) ) )
% 5.52/5.75 => ! [V7y: $i] :
% 5.52/5.75 ( ( mem @ V7y @ ( ty_2Elist_2Elist @ A_27c ) )
% 5.52/5.75 => ( p @ ( ap @ ( ap @ ( ap @ V0P @ V6f ) @ ( c_2Elist_2ENIL @ A_27b ) ) @ V7y ) ) ) )
% 5.52/5.75 & ! [V8f: $i] :
% 5.52/5.75 ( ( mem @ V8f @ ( arr @ A_27b @ ( arr @ A_27c @ A_27a ) ) )
% 5.52/5.75 => ! [V9v4: $i] :
% 5.52/5.75 ( ( mem @ V9v4 @ A_27b )
% 5.52/5.75 => ! [V10v5: $i] :
% 5.52/5.75 ( ( mem @ V10v5 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.52/5.75 => ( p @ ( ap @ ( ap @ ( ap @ V0P @ V8f ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27b ) @ V9v4 ) @ V10v5 ) ) @ ( c_2Elist_2ENIL @ A_27c ) ) ) ) ) ) )
% 5.52/5.75 => ! [V11v: $i] :
% 5.52/5.75 ( ( mem @ V11v @ ( arr @ A_27b @ ( arr @ A_27c @ A_27a ) ) )
% 5.52/5.75 => ! [V12v1: $i] :
% 5.52/5.75 ( ( mem @ V12v1 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.52/5.75 => ! [V13v2: $i] :
% 5.52/5.75 ( ( mem @ V13v2 @ ( ty_2Elist_2Elist @ A_27c ) )
% 5.52/5.75 => ( p @ ( ap @ ( ap @ ( ap @ V0P @ V11v ) @ V12v1 ) @ V13v2 ) ) ) ) ) ) ) ).
% 5.52/5.75
% 5.52/5.75 thf(conj_thm_2Elist_2EMAP2__DEF,axiom,
% 5.52/5.75 ! [A_27a: del,A_27b: del,A_27c: del] :
% 5.52/5.75 ( ! [V0t2: $i] :
% 5.52/5.75 ( ( mem @ V0t2 @ ( ty_2Elist_2Elist @ A_27c ) )
% 5.52/5.75 => ! [V1t1: $i] :
% 5.52/5.75 ( ( mem @ V1t1 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.52/5.75 => ! [V2h2: $i] :
% 5.52/5.75 ( ( mem @ V2h2 @ A_27c )
% 5.52/5.75 => ! [V3h1: $i] :
% 5.52/5.75 ( ( mem @ V3h1 @ A_27b )
% 5.52/5.75 => ! [V4f: $i] :
% 5.52/5.75 ( ( mem @ V4f @ ( arr @ A_27b @ ( arr @ A_27c @ A_27a ) ) )
% 5.52/5.75 => ( ( ap @ ( ap @ ( ap @ ( c_2Elist_2EMAP2 @ A_27a @ A_27b @ A_27c ) @ V4f ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27b ) @ V3h1 ) @ V1t1 ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27c ) @ V2h2 ) @ V0t2 ) )
% 5.52/5.75 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( ap @ V4f @ V3h1 ) @ V2h2 ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2EMAP2 @ A_27a @ A_27b @ A_27c ) @ V4f ) @ V1t1 ) @ V0t2 ) ) ) ) ) ) ) )
% 5.52/5.76 & ! [V5y: $i] :
% 5.52/5.76 ( ( mem @ V5y @ ( ty_2Elist_2Elist @ A_27c ) )
% 5.52/5.76 => ! [V6f: $i] :
% 5.52/5.76 ( ( mem @ V6f @ ( arr @ A_27b @ ( arr @ A_27c @ A_27a ) ) )
% 5.52/5.76 => ( ( ap @ ( ap @ ( ap @ ( c_2Elist_2EMAP2 @ A_27a @ A_27b @ A_27c ) @ V6f ) @ ( c_2Elist_2ENIL @ A_27b ) ) @ V5y )
% 5.52/5.76 = ( c_2Elist_2ENIL @ A_27a ) ) ) )
% 5.52/5.76 & ! [V7v5: $i] :
% 5.52/5.76 ( ( mem @ V7v5 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.52/5.76 => ! [V8v4: $i] :
% 5.52/5.76 ( ( mem @ V8v4 @ A_27b )
% 5.52/5.76 => ! [V9f: $i] :
% 5.52/5.76 ( ( mem @ V9f @ ( arr @ A_27b @ ( arr @ A_27c @ A_27a ) ) )
% 5.52/5.76 => ( ( ap @ ( ap @ ( ap @ ( c_2Elist_2EMAP2 @ A_27a @ A_27b @ A_27c ) @ V9f ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27b ) @ V8v4 ) @ V7v5 ) ) @ ( c_2Elist_2ENIL @ A_27c ) )
% 5.52/5.76 = ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ).
% 5.52/5.76
% 5.52/5.76 thf(conj_thm_2Elist_2EMAP2,axiom,
% 5.52/5.76 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,A_27e: del,A_27f: del] :
% 5.52/5.76 ( ! [V0f: $i] :
% 5.52/5.76 ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27b @ A_27c ) ) )
% 5.52/5.76 => ( ( ap @ ( ap @ ( ap @ ( c_2Elist_2EMAP2 @ A_27c @ A_27a @ A_27b ) @ V0f ) @ ( c_2Elist_2ENIL @ A_27a ) ) @ ( c_2Elist_2ENIL @ A_27b ) )
% 5.52/5.76 = ( c_2Elist_2ENIL @ A_27c ) ) )
% 5.52/5.76 & ! [V1f: $i] :
% 5.52/5.76 ( ( mem @ V1f @ ( arr @ A_27d @ ( arr @ A_27e @ A_27f ) ) )
% 5.52/5.76 => ! [V2h1: $i] :
% 5.52/5.76 ( ( mem @ V2h1 @ A_27d )
% 5.52/5.76 => ! [V3t1: $i] :
% 5.52/5.76 ( ( mem @ V3t1 @ ( ty_2Elist_2Elist @ A_27d ) )
% 5.52/5.76 => ! [V4h2: $i] :
% 5.52/5.76 ( ( mem @ V4h2 @ A_27e )
% 5.52/5.76 => ! [V5t2: $i] :
% 5.52/5.76 ( ( mem @ V5t2 @ ( ty_2Elist_2Elist @ A_27e ) )
% 5.52/5.76 => ( ( ap @ ( ap @ ( ap @ ( c_2Elist_2EMAP2 @ A_27f @ A_27d @ A_27e ) @ V1f ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27d ) @ V2h1 ) @ V3t1 ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27e ) @ V4h2 ) @ V5t2 ) )
% 5.52/5.76 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27f ) @ ( ap @ ( ap @ V1f @ V2h1 ) @ V4h2 ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2EMAP2 @ A_27f @ A_27d @ A_27e ) @ V1f ) @ V3t1 ) @ V5t2 ) ) ) ) ) ) ) ) ) ).
% 5.52/5.76
% 5.52/5.76 thf(conj_thm_2Elist_2EMAP2__NIL,axiom,
% 5.52/5.76 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.52/5.76 ( ( mem @ V0f @ ( arr @ A_27b @ ( arr @ A_27c @ A_27a ) ) )
% 5.52/5.76 => ! [V1x: $i] :
% 5.52/5.76 ( ( mem @ V1x @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.52/5.76 => ( ( ap @ ( ap @ ( ap @ ( c_2Elist_2EMAP2 @ A_27a @ A_27b @ A_27c ) @ V0f ) @ V1x ) @ ( c_2Elist_2ENIL @ A_27c ) )
% 5.52/5.76 = ( c_2Elist_2ENIL @ A_27a ) ) ) ) ).
% 5.52/5.76
% 5.52/5.76 thf(conj_thm_2Elist_2ELENGTH__MAP2,axiom,
% 5.52/5.76 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.52/5.76 ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27b @ A_27c ) ) )
% 5.52/5.76 => ! [V1xs: $i] :
% 5.52/5.76 ( ( mem @ V1xs @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.76 => ! [V2ys: $i] :
% 5.52/5.76 ( ( mem @ V2ys @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.52/5.76 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27c ) @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2EMAP2 @ A_27c @ A_27a @ A_27b ) @ V0f ) @ V1xs ) @ V2ys ) ) )
% 5.52/5.76 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMIN @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1xs ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27b ) @ V2ys ) ) ) ) ) ) ) ).
% 5.52/5.76
% 5.52/5.76 thf(conj_thm_2Elist_2EEL__MAP2,axiom,
% 5.52/5.76 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.52/5.76 ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27b @ A_27c ) ) )
% 5.52/5.76 => ! [V1ts: $i] :
% 5.52/5.76 ( ( mem @ V1ts @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.76 => ! [V2tt: $i] :
% 5.52/5.76 ( ( mem @ V2tt @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.52/5.76 => ! [V3n: tp__ty_2Enum_2Enum] :
% 5.52/5.76 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V3n ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EMIN @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1ts ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27b ) @ V2tt ) ) ) )
% 5.52/5.76 => ( ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27c ) @ ( inj__ty_2Enum_2Enum @ V3n ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2EMAP2 @ A_27c @ A_27a @ A_27b ) @ V0f ) @ V1ts ) @ V2tt ) )
% 5.52/5.76 = ( ap @ ( ap @ V0f @ ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V3n ) ) @ V1ts ) ) @ ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V3n ) ) @ V2tt ) ) ) ) ) ) ) ).
% 5.52/5.76
% 5.52/5.76 thf(ax_thm_2Elist_2EINDEX__FIND__def,axiom,
% 5.52/5.76 ! [A_27a: del] :
% 5.52/5.76 ( ! [V0i: tp__ty_2Enum_2Enum,V1P: $i] :
% 5.52/5.76 ( ( mem @ V1P @ ( arr @ A_27a @ bool ) )
% 5.52/5.76 => ( ( ap @ ( ap @ ( ap @ ( c_2Elist_2EINDEX__FIND @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0i ) ) @ V1P ) @ ( c_2Elist_2ENIL @ A_27a ) )
% 5.52/5.76 = ( c_2Eoption_2ENONE @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ A_27a ) ) ) )
% 5.52/5.76 & ! [V2i: tp__ty_2Enum_2Enum,V3P: $i] :
% 5.52/5.76 ( ( mem @ V3P @ ( arr @ A_27a @ bool ) )
% 5.52/5.76 => ! [V4h: $i] :
% 5.52/5.76 ( ( mem @ V4h @ A_27a )
% 5.52/5.76 => ! [V5t: $i] :
% 5.52/5.76 ( ( mem @ V5t @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.76 => ( ( ap @ ( ap @ ( ap @ ( c_2Elist_2EINDEX__FIND @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V2i ) ) @ V3P ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4h ) @ V5t ) )
% 5.52/5.76 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ A_27a ) ) ) @ ( ap @ V3P @ V4h ) ) @ ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V2i ) ) @ V4h ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2EINDEX__FIND @ A_27a ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V2i ) ) ) @ V3P ) @ V5t ) ) ) ) ) ) ) ).
% 5.52/5.76
% 5.52/5.76 thf(ax_thm_2Elist_2EFIND__def,axiom,
% 5.52/5.76 ! [A_27a: del,V0P: $i] :
% 5.52/5.76 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.52/5.76 => ( ( ap @ ( c_2Elist_2EFIND @ A_27a ) @ V0P )
% 5.52/5.76 = ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Eoption_2Eoption @ A_27a ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ A_27a ) ) ) @ ( ap @ ( c_2Eoption_2EOPTION__MAP @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ A_27a ) @ A_27a ) @ ( c_2Epair_2ESND @ ty_2Enum_2Enum @ A_27a ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2EINDEX__FIND @ A_27a ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ V0P ) ) ) ) ).
% 5.52/5.76
% 5.52/5.76 thf(ax_thm_2Elist_2EINDEX__OF__def,axiom,
% 5.52/5.76 ! [A_27a: del,V0x: $i] :
% 5.52/5.76 ( ( mem @ V0x @ A_27a )
% 5.52/5.76 => ( ( ap @ ( c_2Elist_2EINDEX__OF @ A_27a ) @ V0x )
% 5.52/5.76 = ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Eoption_2Eoption @ ty_2Enum_2Enum ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ A_27a ) ) ) @ ( ap @ ( c_2Eoption_2EOPTION__MAP @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ A_27a ) @ ty_2Enum_2Enum ) @ ( c_2Epair_2EFST @ ty_2Enum_2Enum @ A_27a ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2EINDEX__FIND @ A_27a ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V0x ) ) ) ) ) ).
% 5.52/5.76
% 5.52/5.76 thf(conj_thm_2Elist_2ENULL,axiom,
% 5.52/5.76 ! [A_27a: del] :
% 5.52/5.76 ( ( p @ ( ap @ ( c_2Elist_2ENULL @ A_27a ) @ ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.52/5.76 & ! [V0h: $i] :
% 5.52/5.76 ( ( mem @ V0h @ A_27a )
% 5.52/5.76 => ! [V1t: $i] :
% 5.52/5.76 ( ( mem @ V1t @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.76 => ~ ( p @ ( ap @ ( c_2Elist_2ENULL @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V0h ) @ V1t ) ) ) ) ) ) ).
% 5.52/5.76
% 5.52/5.76 thf(conj_thm_2Elist_2Elist__INDUCT0,axiom,
% 5.52/5.76 ! [A_27a: del,V0P: $i] :
% 5.52/5.76 ( ( mem @ V0P @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ bool ) )
% 5.52/5.76 => ( ( ( p @ ( ap @ V0P @ ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.52/5.76 & ! [V1l: $i] :
% 5.52/5.76 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.76 => ( ( p @ ( ap @ V0P @ V1l ) )
% 5.52/5.76 => ! [V2a: $i] :
% 5.52/5.76 ( ( mem @ V2a @ A_27a )
% 5.52/5.76 => ( p @ ( ap @ V0P @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2a ) @ V1l ) ) ) ) ) ) )
% 5.52/5.76 => ! [V3l: $i] :
% 5.52/5.76 ( ( mem @ V3l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.76 => ( p @ ( ap @ V0P @ V3l ) ) ) ) ) ).
% 5.52/5.76
% 5.52/5.76 thf(conj_thm_2Elist_2Elist__INDUCT,axiom,
% 5.52/5.76 ! [A_27a: del,V0P: $i] :
% 5.52/5.76 ( ( mem @ V0P @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ bool ) )
% 5.52/5.76 => ( ( ( p @ ( ap @ V0P @ ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.52/5.76 & ! [V1t: $i] :
% 5.52/5.76 ( ( mem @ V1t @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.76 => ( ( p @ ( ap @ V0P @ V1t ) )
% 5.52/5.76 => ! [V2h: $i] :
% 5.52/5.76 ( ( mem @ V2h @ A_27a )
% 5.52/5.76 => ( p @ ( ap @ V0P @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2h ) @ V1t ) ) ) ) ) ) )
% 5.52/5.76 => ! [V3l: $i] :
% 5.52/5.76 ( ( mem @ V3l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.76 => ( p @ ( ap @ V0P @ V3l ) ) ) ) ) ).
% 5.52/5.76
% 5.52/5.76 thf(conj_thm_2Elist_2Elist__induction,axiom,
% 5.52/5.76 ! [A_27a: del,V0P: $i] :
% 5.52/5.76 ( ( mem @ V0P @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ bool ) )
% 5.52/5.76 => ( ( ( p @ ( ap @ V0P @ ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.52/5.76 & ! [V1t: $i] :
% 5.52/5.76 ( ( mem @ V1t @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.76 => ( ( p @ ( ap @ V0P @ V1t ) )
% 5.52/5.76 => ! [V2h: $i] :
% 5.52/5.76 ( ( mem @ V2h @ A_27a )
% 5.52/5.76 => ( p @ ( ap @ V0P @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2h ) @ V1t ) ) ) ) ) ) )
% 5.52/5.76 => ! [V3l: $i] :
% 5.52/5.76 ( ( mem @ V3l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.76 => ( p @ ( ap @ V0P @ V3l ) ) ) ) ) ).
% 5.52/5.76
% 5.52/5.76 thf(conj_thm_2Elist_2Elist__CASES,axiom,
% 5.52/5.76 ! [A_27a: del,V0l: $i] :
% 5.52/5.76 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.76 => ( ( V0l
% 5.52/5.76 = ( c_2Elist_2ENIL @ A_27a ) )
% 5.52/5.76 | ? [V1h: $i] :
% 5.52/5.76 ( ( mem @ V1h @ A_27a )
% 5.52/5.76 & ? [V2t: $i] :
% 5.52/5.76 ( ( mem @ V2t @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.76 & ( V0l
% 5.52/5.76 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1h ) @ V2t ) ) ) ) ) ) ).
% 5.52/5.76
% 5.52/5.76 thf(conj_thm_2Elist_2Elist__nchotomy,axiom,
% 5.52/5.76 ! [A_27a: del,V0l: $i] :
% 5.52/5.76 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.76 => ( ( V0l
% 5.52/5.76 = ( c_2Elist_2ENIL @ A_27a ) )
% 5.52/5.76 | ? [V1h: $i] :
% 5.52/5.76 ( ( mem @ V1h @ A_27a )
% 5.52/5.76 & ? [V2t: $i] :
% 5.52/5.76 ( ( mem @ V2t @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.76 & ( V0l
% 5.52/5.76 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1h ) @ V2t ) ) ) ) ) ) ).
% 5.52/5.76
% 5.52/5.76 thf(conj_thm_2Elist_2Elist__case__compute,axiom,
% 5.52/5.76 ! [A_27a: del,A_27b: del,V0b: $i] :
% 5.52/5.76 ( ( mem @ V0b @ A_27b )
% 5.52/5.76 => ! [V1f: $i] :
% 5.52/5.76 ( ( mem @ V1f @ ( arr @ A_27a @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ A_27b ) ) )
% 5.52/5.76 => ! [V2l: $i] :
% 5.52/5.76 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.76 => ( ( ap @ ( ap @ ( ap @ ( c_2Elist_2Elist__CASE @ A_27a @ A_27b ) @ V2l ) @ V0b ) @ V1f )
% 5.52/5.76 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ A_27b ) @ ( ap @ ( c_2Elist_2ENULL @ A_27a ) @ V2l ) ) @ V0b ) @ ( ap @ ( ap @ V1f @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ V2l ) ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V2l ) ) ) ) ) ) ) ).
% 5.52/5.76
% 5.52/5.76 thf(conj_thm_2Elist_2ECONS__11,axiom,
% 5.52/5.76 ! [A_27a: del,V0a0: $i] :
% 5.52/5.76 ( ( mem @ V0a0 @ A_27a )
% 5.52/5.76 => ! [V1a1: $i] :
% 5.52/5.76 ( ( mem @ V1a1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.76 => ! [V2a0_27: $i] :
% 5.52/5.76 ( ( mem @ V2a0_27 @ A_27a )
% 5.52/5.76 => ! [V3a1_27: $i] :
% 5.52/5.76 ( ( mem @ V3a1_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.76 => ( ( ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V0a0 ) @ V1a1 )
% 5.52/5.76 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2a0_27 ) @ V3a1_27 ) )
% 5.52/5.76 <=> ( ( V0a0 = V2a0_27 )
% 5.52/5.76 & ( V1a1 = V3a1_27 ) ) ) ) ) ) ) ).
% 5.52/5.76
% 5.52/5.76 thf(conj_thm_2Elist_2ENOT__NIL__CONS,axiom,
% 5.52/5.76 ! [A_27a: del,V0a1: $i] :
% 5.52/5.76 ( ( mem @ V0a1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.76 => ! [V1a0: $i] :
% 5.52/5.76 ( ( mem @ V1a0 @ A_27a )
% 5.52/5.76 => ( ( c_2Elist_2ENIL @ A_27a )
% 5.52/5.76 != ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1a0 ) @ V0a1 ) ) ) ) ).
% 5.52/5.76
% 5.52/5.76 thf(conj_thm_2Elist_2ENOT__CONS__NIL,axiom,
% 5.52/5.76 ! [A_27a: del,V0a1: $i] :
% 5.52/5.76 ( ( mem @ V0a1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.76 => ! [V1a0: $i] :
% 5.52/5.76 ( ( mem @ V1a0 @ A_27a )
% 5.52/5.76 => ( ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1a0 ) @ V0a1 )
% 5.52/5.76 != ( c_2Elist_2ENIL @ A_27a ) ) ) ) ).
% 5.52/5.76
% 5.52/5.76 thf(conj_thm_2Elist_2ELIST__NOT__EQ,axiom,
% 5.52/5.76 ! [A_27a: del,V0l1: $i] :
% 5.52/5.76 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.76 => ! [V1l2: $i] :
% 5.52/5.76 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.76 => ( ( V0l1 != V1l2 )
% 5.52/5.76 => ! [V2h1: $i] :
% 5.52/5.76 ( ( mem @ V2h1 @ A_27a )
% 5.52/5.76 => ! [V3h2: $i] :
% 5.52/5.76 ( ( mem @ V3h2 @ A_27a )
% 5.52/5.76 => ( ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2h1 ) @ V0l1 )
% 5.52/5.76 != ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3h2 ) @ V1l2 ) ) ) ) ) ) ) ).
% 5.52/5.76
% 5.52/5.76 thf(conj_thm_2Elist_2ENOT__EQ__LIST,axiom,
% 5.52/5.76 ! [A_27a: del,V0h1: $i] :
% 5.52/5.76 ( ( mem @ V0h1 @ A_27a )
% 5.52/5.76 => ! [V1h2: $i] :
% 5.52/5.76 ( ( mem @ V1h2 @ A_27a )
% 5.52/5.76 => ( ( V0h1 != V1h2 )
% 5.52/5.76 => ! [V2l1: $i] :
% 5.52/5.76 ( ( mem @ V2l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.76 => ! [V3l2: $i] :
% 5.52/5.76 ( ( mem @ V3l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.76 => ( ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V0h1 ) @ V2l1 )
% 5.52/5.76 != ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1h2 ) @ V3l2 ) ) ) ) ) ) ) ).
% 5.52/5.76
% 5.52/5.76 thf(conj_thm_2Elist_2EEQ__LIST,axiom,
% 5.52/5.76 ! [A_27a: del,V0h1: $i] :
% 5.52/5.76 ( ( mem @ V0h1 @ A_27a )
% 5.52/5.76 => ! [V1h2: $i] :
% 5.52/5.76 ( ( mem @ V1h2 @ A_27a )
% 5.52/5.76 => ( ( V0h1 = V1h2 )
% 5.52/5.76 => ! [V2l1: $i] :
% 5.52/5.76 ( ( mem @ V2l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.76 => ! [V3l2: $i] :
% 5.52/5.76 ( ( mem @ V3l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.76 => ( ( V2l1 = V3l2 )
% 5.52/5.76 => ( ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V0h1 ) @ V2l1 )
% 5.52/5.76 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1h2 ) @ V3l2 ) ) ) ) ) ) ) ) ).
% 5.52/5.76
% 5.52/5.76 thf(conj_thm_2Elist_2ECONS,axiom,
% 5.52/5.76 ! [A_27a: del,V0l: $i] :
% 5.52/5.76 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.76 => ( ~ ( p @ ( ap @ ( c_2Elist_2ENULL @ A_27a ) @ V0l ) )
% 5.52/5.76 => ( ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ V0l ) ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V0l ) )
% 5.52/5.76 = V0l ) ) ) ).
% 5.52/5.76
% 5.52/5.76 thf(conj_thm_2Elist_2EAPPEND__NIL,axiom,
% 5.52/5.76 ! [A_27a: del,V0l: $i] :
% 5.52/5.76 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.76 => ( ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V0l ) @ ( c_2Elist_2ENIL @ A_27a ) )
% 5.52/5.76 = V0l ) ) ).
% 5.52/5.76
% 5.52/5.76 thf(conj_thm_2Elist_2EAPPEND__ASSOC,axiom,
% 5.52/5.76 ! [A_27a: del,V0l1: $i] :
% 5.52/5.76 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.76 => ! [V1l2: $i] :
% 5.52/5.76 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.76 => ! [V2l3: $i] :
% 5.52/5.76 ( ( mem @ V2l3 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.76 => ( ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V0l1 ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V1l2 ) @ V2l3 ) )
% 5.52/5.76 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V0l1 ) @ V1l2 ) ) @ V2l3 ) ) ) ) ) ).
% 5.52/5.76
% 5.52/5.76 thf(conj_thm_2Elist_2ELENGTH__APPEND,axiom,
% 5.52/5.76 ! [A_27a: del,V0l1: $i] :
% 5.52/5.76 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.76 => ! [V1l2: $i] :
% 5.52/5.76 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.76 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V0l1 ) @ V1l2 ) ) )
% 5.52/5.76 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l1 ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l2 ) ) ) ) ) ) ).
% 5.52/5.76
% 5.52/5.76 thf(conj_thm_2Elist_2EMAP__APPEND,axiom,
% 5.52/5.76 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.52/5.76 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.52/5.76 => ! [V1l1: $i] :
% 5.52/5.76 ( ( mem @ V1l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.76 => ! [V2l2: $i] :
% 5.52/5.76 ( ( mem @ V2l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.76 => ( ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27a @ A_27b ) @ V0f ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V1l1 ) @ V2l2 ) )
% 5.52/5.76 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27b ) @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27a @ A_27b ) @ V0f ) @ V1l1 ) ) @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27a @ A_27b ) @ V0f ) @ V2l2 ) ) ) ) ) ) ).
% 5.52/5.76
% 5.52/5.76 thf(conj_thm_2Elist_2EMAP__ID,axiom,
% 5.52/5.76 ! [A_27a: del,V0l: $i] :
% 5.52/5.76 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.76 => ( ( ( ap
% 5.52/5.76 @ ( ap @ ( c_2Elist_2EMAP @ A_27a @ A_27a )
% 5.52/5.76 @ ( lam @ A_27a
% 5.52/5.76 @ ^ [V1x: $i] : V1x ) )
% 5.52/5.76 @ V0l )
% 5.52/5.76 = V0l )
% 5.52/5.76 & ( ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27a @ A_27a ) @ ( c_2Ecombin_2EI @ A_27a ) ) @ V0l )
% 5.52/5.76 = V0l ) ) ) ).
% 5.52/5.76
% 5.52/5.76 thf(conj_thm_2Elist_2ELENGTH__MAP,axiom,
% 5.52/5.76 ! [A_27a: del,A_27b: del,V0l: $i] :
% 5.52/5.76 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.76 => ! [V1f: $i] :
% 5.52/5.76 ( ( mem @ V1f @ ( arr @ A_27a @ A_27b ) )
% 5.52/5.76 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27b ) @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27a @ A_27b ) @ V1f ) @ V0l ) ) )
% 5.52/5.76 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) ) ) ) ).
% 5.52/5.76
% 5.52/5.76 thf(conj_thm_2Elist_2EMAP__EQ__NIL,axiom,
% 5.52/5.76 ! [A_27a: del,A_27b: del,V0l: $i] :
% 5.52/5.76 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.76 => ! [V1f: $i] :
% 5.52/5.76 ( ( mem @ V1f @ ( arr @ A_27a @ A_27b ) )
% 5.52/5.76 => ( ( ( ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27a @ A_27b ) @ V1f ) @ V0l )
% 5.52/5.76 = ( c_2Elist_2ENIL @ A_27b ) )
% 5.52/5.76 <=> ( V0l
% 5.52/5.76 = ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.52/5.76 & ( ( ( c_2Elist_2ENIL @ A_27b )
% 5.52/5.76 = ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27a @ A_27b ) @ V1f ) @ V0l ) )
% 5.52/5.76 <=> ( V0l
% 5.52/5.76 = ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ).
% 5.52/5.76
% 5.52/5.76 thf(conj_thm_2Elist_2EMAP__EQ__CONS,axiom,
% 5.52/5.76 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.52/5.76 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.52/5.76 => ! [V1l: $i] :
% 5.52/5.76 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.76 => ! [V2h: $i] :
% 5.52/5.76 ( ( mem @ V2h @ A_27b )
% 5.52/5.76 => ! [V3t: $i] :
% 5.52/5.76 ( ( mem @ V3t @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.52/5.76 => ( ( ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27a @ A_27b ) @ V0f ) @ V1l )
% 5.52/5.76 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27b ) @ V2h ) @ V3t ) )
% 5.52/5.76 <=> ? [V4x0: $i] :
% 5.52/5.76 ( ( mem @ V4x0 @ A_27a )
% 5.52/5.76 & ? [V5t0: $i] :
% 5.52/5.76 ( ( mem @ V5t0 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.76 & ( V1l
% 5.52/5.76 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4x0 ) @ V5t0 ) )
% 5.52/5.76 & ( V2h
% 5.52/5.76 = ( ap @ V0f @ V4x0 ) )
% 5.52/5.76 & ( V3t
% 5.52/5.76 = ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27a @ A_27b ) @ V0f ) @ V5t0 ) ) ) ) ) ) ) ) ) ).
% 5.52/5.76
% 5.52/5.76 thf(conj_thm_2Elist_2EMAP__EQ__SING,axiom,
% 5.52/5.76 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.52/5.76 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.52/5.76 => ! [V1l: $i] :
% 5.52/5.76 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.76 => ! [V2x: $i] :
% 5.52/5.76 ( ( mem @ V2x @ A_27b )
% 5.52/5.76 => ( ( ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27a @ A_27b ) @ V0f ) @ V1l )
% 5.52/5.76 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27b ) @ V2x ) @ ( c_2Elist_2ENIL @ A_27b ) ) )
% 5.52/5.76 <=> ? [V3x0: $i] :
% 5.52/5.76 ( ( mem @ V3x0 @ A_27a )
% 5.52/5.76 & ( V1l
% 5.52/5.76 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3x0 ) @ ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.52/5.76 & ( V2x
% 5.52/5.76 = ( ap @ V0f @ V3x0 ) ) ) ) ) ) ) ).
% 5.52/5.76
% 5.52/5.76 thf(conj_thm_2Elist_2EMAP__EQ__f,axiom,
% 5.52/5.76 ! [A_27a: del,A_27b: del,V0f1: $i] :
% 5.52/5.76 ( ( mem @ V0f1 @ ( arr @ A_27a @ A_27b ) )
% 5.52/5.76 => ! [V1f2: $i] :
% 5.52/5.76 ( ( mem @ V1f2 @ ( arr @ A_27a @ A_27b ) )
% 5.52/5.76 => ! [V2l: $i] :
% 5.52/5.76 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.76 => ( ( ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27a @ A_27b ) @ V0f1 ) @ V2l )
% 5.52/5.76 = ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27a @ A_27b ) @ V1f2 ) @ V2l ) )
% 5.52/5.76 <=> ! [V3e: $i] :
% 5.52/5.76 ( ( mem @ V3e @ A_27a )
% 5.52/5.76 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3e ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V2l ) ) )
% 5.52/5.76 => ( ( ap @ V0f1 @ V3e )
% 5.52/5.76 = ( ap @ V1f2 @ V3e ) ) ) ) ) ) ) ) ).
% 5.52/5.76
% 5.52/5.76 thf(conj_thm_2Elist_2EMAP__o,axiom,
% 5.52/5.76 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.52/5.76 ( ( mem @ V0f @ ( arr @ A_27b @ A_27c ) )
% 5.52/5.76 => ! [V1g: $i] :
% 5.52/5.76 ( ( mem @ V1g @ ( arr @ A_27a @ A_27b ) )
% 5.52/5.76 => ( ( ap @ ( c_2Elist_2EMAP @ A_27a @ A_27c ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27a @ A_27c @ A_27b ) @ V0f ) @ V1g ) )
% 5.52/5.76 = ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27c ) @ ( ty_2Elist_2Elist @ A_27b ) ) @ ( ap @ ( c_2Elist_2EMAP @ A_27b @ A_27c ) @ V0f ) ) @ ( ap @ ( c_2Elist_2EMAP @ A_27a @ A_27b ) @ V1g ) ) ) ) ) ).
% 5.52/5.76
% 5.52/5.76 thf(conj_thm_2Elist_2EMAP__MAP__o,axiom,
% 5.52/5.76 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.52/5.76 ( ( mem @ V0f @ ( arr @ A_27b @ A_27c ) )
% 5.52/5.76 => ! [V1g: $i] :
% 5.52/5.76 ( ( mem @ V1g @ ( arr @ A_27a @ A_27b ) )
% 5.52/5.76 => ! [V2l: $i] :
% 5.52/5.76 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.76 => ( ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27b @ A_27c ) @ V0f ) @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27a @ A_27b ) @ V1g ) @ V2l ) )
% 5.52/5.76 = ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27a @ A_27c ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27a @ A_27c @ A_27b ) @ V0f ) @ V1g ) ) @ V2l ) ) ) ) ) ).
% 5.52/5.76
% 5.52/5.76 thf(conj_thm_2Elist_2EEL__MAP,axiom,
% 5.52/5.76 ! [A_27a: del,A_27b: del,V0n: tp__ty_2Enum_2Enum,V1l: $i] :
% 5.52/5.76 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.76 => ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l ) ) )
% 5.52/5.76 => ! [V2f: $i] :
% 5.52/5.76 ( ( mem @ V2f @ ( arr @ A_27a @ A_27b ) )
% 5.52/5.76 => ( ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27a @ A_27b ) @ V2f ) @ V1l ) )
% 5.52/5.76 = ( ap @ V2f @ ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1l ) ) ) ) ) ) ).
% 5.52/5.76
% 5.52/5.76 thf(conj_thm_2Elist_2EEL__APPEND__EQN,axiom,
% 5.52/5.76 ! [A_27a: del,V0l1: $i] :
% 5.52/5.76 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.76 => ! [V1l2: $i] :
% 5.52/5.76 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.76 => ! [V2n: tp__ty_2Enum_2Enum] :
% 5.52/5.76 ( ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V0l1 ) @ V1l2 ) )
% 5.52/5.76 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ A_27a ) @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l1 ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ V0l1 ) ) @ ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l1 ) ) ) @ V1l2 ) ) ) ) ) ).
% 5.52/5.76
% 5.52/5.76 thf(conj_thm_2Elist_2EMAP__TL,axiom,
% 5.52/5.76 ! [A_27a: del,A_27b: del,V0l: $i] :
% 5.52/5.76 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.76 => ! [V1f: $i] :
% 5.52/5.76 ( ( mem @ V1f @ ( arr @ A_27a @ A_27b ) )
% 5.52/5.76 => ( ~ ( p @ ( ap @ ( c_2Elist_2ENULL @ A_27a ) @ V0l ) )
% 5.52/5.76 => ( ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27a @ A_27b ) @ V1f ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V0l ) )
% 5.52/5.76 = ( ap @ ( c_2Elist_2ETL @ A_27b ) @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27a @ A_27b ) @ V1f ) @ V0l ) ) ) ) ) ) ).
% 5.52/5.76
% 5.52/5.76 thf(conj_thm_2Elist_2EEVERY__EL,axiom,
% 5.52/5.76 ! [A_27a: del,V0l: $i] :
% 5.52/5.76 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.76 => ! [V1P: $i] :
% 5.52/5.76 ( ( mem @ V1P @ ( arr @ A_27a @ bool ) )
% 5.52/5.76 => ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EEVERY @ A_27a ) @ V1P ) @ V0l ) )
% 5.52/5.76 <=> ! [V2n: tp__ty_2Enum_2Enum] :
% 5.52/5.76 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.52/5.76 => ( p @ ( ap @ V1P @ ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ V0l ) ) ) ) ) ) ) ).
% 5.52/5.76
% 5.52/5.76 thf(conj_thm_2Elist_2EEVERY__CONJ,axiom,
% 5.52/5.76 ! [A_27a: del,V0P: $i] :
% 5.52/5.76 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.52/5.76 => ! [V1Q: $i] :
% 5.52/5.76 ( ( mem @ V1Q @ ( arr @ A_27a @ bool ) )
% 5.52/5.76 => ! [V2l: $i] :
% 5.52/5.76 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.76 => ( ( p
% 5.52/5.76 @ ( ap
% 5.52/5.76 @ ( ap @ ( c_2Elist_2EEVERY @ A_27a )
% 5.52/5.76 @ ( lam @ A_27a
% 5.52/5.76 @ ^ [V3x: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0P @ V3x ) ) @ ( ap @ V1Q @ V3x ) ) ) )
% 5.52/5.76 @ V2l ) )
% 5.52/5.76 <=> ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EEVERY @ A_27a ) @ V0P ) @ V2l ) )
% 5.52/5.76 & ( p @ ( ap @ ( ap @ ( c_2Elist_2EEVERY @ A_27a ) @ V1Q ) @ V2l ) ) ) ) ) ) ) ).
% 5.52/5.76
% 5.52/5.76 thf(conj_thm_2Elist_2EEVERY__MEM,axiom,
% 5.52/5.76 ! [A_27a: del,V0P: $i] :
% 5.52/5.76 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.52/5.76 => ! [V1l: $i] :
% 5.52/5.76 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.76 => ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EEVERY @ A_27a ) @ V0P ) @ V1l ) )
% 5.52/5.76 <=> ! [V2e: $i] :
% 5.52/5.76 ( ( mem @ V2e @ A_27a )
% 5.52/5.76 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2e ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V1l ) ) )
% 5.52/5.76 => ( p @ ( ap @ V0P @ V2e ) ) ) ) ) ) ) ).
% 5.52/5.76
% 5.52/5.76 thf(conj_thm_2Elist_2EEVERY__MAP,axiom,
% 5.52/5.76 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.52/5.76 ( ( mem @ V0P @ ( arr @ A_27b @ bool ) )
% 5.52/5.76 => ! [V1f: $i] :
% 5.52/5.76 ( ( mem @ V1f @ ( arr @ A_27a @ A_27b ) )
% 5.52/5.76 => ! [V2l: $i] :
% 5.52/5.76 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.76 => ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EEVERY @ A_27b ) @ V0P ) @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27a @ A_27b ) @ V1f ) @ V2l ) ) )
% 5.52/5.76 <=> ( p
% 5.52/5.76 @ ( ap
% 5.52/5.76 @ ( ap @ ( c_2Elist_2EEVERY @ A_27a )
% 5.52/5.76 @ ( lam @ A_27a
% 5.52/5.76 @ ^ [V3x: $i] : ( ap @ V0P @ ( ap @ V1f @ V3x ) ) ) )
% 5.52/5.76 @ V2l ) ) ) ) ) ) ).
% 5.52/5.76
% 5.52/5.76 thf(conj_thm_2Elist_2EEVERY__SIMP,axiom,
% 5.52/5.76 ! [A_27a: del,V0c: $i] :
% 5.52/5.76 ( ( mem @ V0c @ bool )
% 5.52/5.76 => ! [V1l: $i] :
% 5.52/5.76 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.76 => ( ( p
% 5.52/5.76 @ ( ap
% 5.52/5.76 @ ( ap @ ( c_2Elist_2EEVERY @ A_27a )
% 5.52/5.76 @ ( lam @ A_27a
% 5.52/5.76 @ ^ [V2x: $i] : V0c ) )
% 5.52/5.76 @ V1l ) )
% 5.52/5.76 <=> ( ( V1l
% 5.52/5.76 = ( c_2Elist_2ENIL @ A_27a ) )
% 5.52/5.76 | ( p @ V0c ) ) ) ) ) ).
% 5.52/5.76
% 5.52/5.76 thf(conj_thm_2Elist_2EMONO__EVERY,axiom,
% 5.52/5.76 ! [A_27a: del,V0P: $i] :
% 5.52/5.76 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.52/5.76 => ! [V1Q: $i] :
% 5.52/5.76 ( ( mem @ V1Q @ ( arr @ A_27a @ bool ) )
% 5.52/5.76 => ! [V2l: $i] :
% 5.52/5.76 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.76 => ( ! [V3x: $i] :
% 5.52/5.76 ( ( mem @ V3x @ A_27a )
% 5.52/5.76 => ( ( p @ ( ap @ V0P @ V3x ) )
% 5.52/5.76 => ( p @ ( ap @ V1Q @ V3x ) ) ) )
% 5.52/5.76 => ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EEVERY @ A_27a ) @ V0P ) @ V2l ) )
% 5.52/5.76 => ( p @ ( ap @ ( ap @ ( c_2Elist_2EEVERY @ A_27a ) @ V1Q ) @ V2l ) ) ) ) ) ) ) ).
% 5.52/5.76
% 5.52/5.76 thf(conj_thm_2Elist_2EEXISTS__MEM,axiom,
% 5.52/5.76 ! [A_27a: del,V0P: $i] :
% 5.52/5.76 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.52/5.76 => ! [V1l: $i] :
% 5.52/5.76 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.76 => ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EEXISTS @ A_27a ) @ V0P ) @ V1l ) )
% 5.52/5.76 <=> ? [V2e: $i] :
% 5.52/5.76 ( ( mem @ V2e @ A_27a )
% 5.52/5.76 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2e ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V1l ) ) )
% 5.52/5.76 & ( p @ ( ap @ V0P @ V2e ) ) ) ) ) ) ).
% 5.52/5.76
% 5.52/5.76 thf(conj_thm_2Elist_2EEXISTS__MAP,axiom,
% 5.52/5.76 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.52/5.76 ( ( mem @ V0P @ ( arr @ A_27b @ bool ) )
% 5.52/5.76 => ! [V1f: $i] :
% 5.52/5.76 ( ( mem @ V1f @ ( arr @ A_27a @ A_27b ) )
% 5.52/5.76 => ! [V2l: $i] :
% 5.52/5.76 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.76 => ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EEXISTS @ A_27b ) @ V0P ) @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27a @ A_27b ) @ V1f ) @ V2l ) ) )
% 5.52/5.76 <=> ( p
% 5.52/5.76 @ ( ap
% 5.52/5.76 @ ( ap @ ( c_2Elist_2EEXISTS @ A_27a )
% 5.52/5.76 @ ( lam @ A_27a
% 5.52/5.76 @ ^ [V3x: $i] : ( ap @ V0P @ ( ap @ V1f @ V3x ) ) ) )
% 5.52/5.76 @ V2l ) ) ) ) ) ) ).
% 5.52/5.76
% 5.52/5.76 thf(conj_thm_2Elist_2EEXISTS__SIMP,axiom,
% 5.52/5.76 ! [A_27a: del,V0c: $i] :
% 5.52/5.76 ( ( mem @ V0c @ bool )
% 5.52/5.76 => ! [V1l: $i] :
% 5.52/5.76 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.76 => ( ( p
% 5.52/5.76 @ ( ap
% 5.52/5.76 @ ( ap @ ( c_2Elist_2EEXISTS @ A_27a )
% 5.52/5.76 @ ( lam @ A_27a
% 5.52/5.76 @ ^ [V2x: $i] : V0c ) )
% 5.52/5.76 @ V1l ) )
% 5.52/5.76 <=> ( ( V1l
% 5.52/5.76 != ( c_2Elist_2ENIL @ A_27a ) )
% 5.52/5.76 & ( p @ V0c ) ) ) ) ) ).
% 5.52/5.76
% 5.52/5.76 thf(conj_thm_2Elist_2EMONO__EXISTS,axiom,
% 5.52/5.76 ! [A_27a: del,V0P: $i] :
% 5.52/5.76 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.52/5.76 => ! [V1Q: $i] :
% 5.52/5.76 ( ( mem @ V1Q @ ( arr @ A_27a @ bool ) )
% 5.52/5.76 => ! [V2l: $i] :
% 5.52/5.76 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.76 => ( ! [V3x: $i] :
% 5.52/5.76 ( ( mem @ V3x @ A_27a )
% 5.52/5.76 => ( ( p @ ( ap @ V0P @ V3x ) )
% 5.52/5.76 => ( p @ ( ap @ V1Q @ V3x ) ) ) )
% 5.52/5.76 => ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EEXISTS @ A_27a ) @ V0P ) @ V2l ) )
% 5.52/5.76 => ( p @ ( ap @ ( ap @ ( c_2Elist_2EEXISTS @ A_27a ) @ V1Q ) @ V2l ) ) ) ) ) ) ) ).
% 5.52/5.76
% 5.52/5.76 thf(conj_thm_2Elist_2EEVERY__NOT__EXISTS,axiom,
% 5.52/5.76 ! [A_27a: del,V0P: $i] :
% 5.52/5.76 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.52/5.76 => ! [V1l: $i] :
% 5.52/5.76 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.76 => ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EEVERY @ A_27a ) @ V0P ) @ V1l ) )
% 5.52/5.76 <=> ~ ( p
% 5.52/5.76 @ ( ap
% 5.52/5.76 @ ( ap @ ( c_2Elist_2EEXISTS @ A_27a )
% 5.52/5.76 @ ( lam @ A_27a
% 5.52/5.76 @ ^ [V2x: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0P @ V2x ) ) ) )
% 5.52/5.76 @ V1l ) ) ) ) ) ).
% 5.52/5.76
% 5.52/5.76 thf(conj_thm_2Elist_2EEXISTS__NOT__EVERY,axiom,
% 5.52/5.76 ! [A_27a: del,V0P: $i] :
% 5.52/5.76 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.52/5.76 => ! [V1l: $i] :
% 5.52/5.76 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.76 => ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EEXISTS @ A_27a ) @ V0P ) @ V1l ) )
% 5.52/5.76 <=> ~ ( p
% 5.52/5.76 @ ( ap
% 5.52/5.76 @ ( ap @ ( c_2Elist_2EEVERY @ A_27a )
% 5.52/5.76 @ ( lam @ A_27a
% 5.52/5.76 @ ^ [V2x: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0P @ V2x ) ) ) )
% 5.52/5.76 @ V1l ) ) ) ) ) ).
% 5.52/5.76
% 5.52/5.76 thf(conj_thm_2Elist_2EMEM__APPEND,axiom,
% 5.52/5.76 ! [A_27a: del,V0e: $i] :
% 5.52/5.76 ( ( mem @ V0e @ A_27a )
% 5.52/5.76 => ! [V1l1: $i] :
% 5.52/5.76 ( ( mem @ V1l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.76 => ! [V2l2: $i] :
% 5.52/5.76 ( ( mem @ V2l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.76 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0e ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V1l1 ) @ V2l2 ) ) ) )
% 5.52/5.76 <=> ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0e ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V1l1 ) ) )
% 5.52/5.76 | ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0e ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V2l2 ) ) ) ) ) ) ) ) ).
% 5.52/5.76
% 5.52/5.76 thf(conj_thm_2Elist_2EMEM__FILTER,axiom,
% 5.52/5.76 ! [A_27a: del,V0P: $i] :
% 5.52/5.76 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.52/5.76 => ! [V1L: $i] :
% 5.52/5.76 ( ( mem @ V1L @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.76 => ! [V2x: $i] :
% 5.52/5.76 ( ( mem @ V2x @ A_27a )
% 5.52/5.76 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EFILTER @ A_27a ) @ V0P ) @ V1L ) ) ) )
% 5.52/5.76 <=> ( ( p @ ( ap @ V0P @ V2x ) )
% 5.52/5.76 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V1L ) ) ) ) ) ) ) ) ).
% 5.52/5.76
% 5.52/5.76 thf(conj_thm_2Elist_2EMEM__FLAT,axiom,
% 5.52/5.76 ! [A_27a: del,V0x: $i] :
% 5.52/5.76 ( ( mem @ V0x @ A_27a )
% 5.52/5.76 => ! [V1L: $i] :
% 5.52/5.76 ( ( mem @ V1L @ ( ty_2Elist_2Elist @ ( ty_2Elist_2Elist @ A_27a ) ) )
% 5.52/5.76 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ ( ap @ ( c_2Elist_2EFLAT @ A_27a ) @ V1L ) ) ) )
% 5.52/5.76 <=> ? [V2l: $i] :
% 5.52/5.76 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.52/5.76 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Elist_2Elist @ A_27a ) ) @ V2l ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ ( ty_2Elist_2Elist @ A_27a ) ) @ V1L ) ) )
% 5.52/5.76 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V2l ) ) ) ) ) ) ) ).
% 5.52/5.76
% 5.52/5.76 thf(conj_thm_2Elist_2EFLAT__APPEND,axiom,
% 5.52/5.76 ! [A_27a: del,V0l1: $i] :
% 5.52/5.76 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ ( ty_2Elist_2Elist @ A_27a ) ) )
% 5.52/5.76 => ! [V1l2: $i] :
% 5.52/5.76 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ ( ty_2Elist_2Elist @ A_27a ) ) )
% 5.52/5.76 => ( ( ap @ ( c_2Elist_2EFLAT @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ ( ty_2Elist_2Elist @ A_27a ) ) @ V0l1 ) @ V1l2 ) )
% 5.52/5.76 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ ( ap @ ( c_2Elist_2EFLAT @ A_27a ) @ V0l1 ) ) @ ( ap @ ( c_2Elist_2EFLAT @ A_27a ) @ V1l2 ) ) ) ) ) ).
% 5.52/5.76
% 5.52/5.76 thf(conj_thm_2Elist_2EFLAT__compute,axiom,
% 5.52/5.76 ! [A_27a: del,A_27b: del,A_27c: del,V0t: $i] :
% 5.52/5.76 ( ( mem @ V0t @ ( ty_2Elist_2Elist @ ( ty_2Elist_2Elist @ A_27b ) ) )
% 5.52/5.76 => ! [V1h: $i] :
% 5.55/5.76 ( ( mem @ V1h @ A_27c )
% 5.55/5.76 => ! [V2t1: $i] :
% 5.55/5.76 ( ( mem @ V2t1 @ ( ty_2Elist_2Elist @ A_27c ) )
% 5.55/5.76 => ! [V3t2: $i] :
% 5.55/5.76 ( ( mem @ V3t2 @ ( ty_2Elist_2Elist @ ( ty_2Elist_2Elist @ A_27c ) ) )
% 5.55/5.76 => ( ( ( ap @ ( c_2Elist_2EFLAT @ A_27a ) @ ( c_2Elist_2ENIL @ ( ty_2Elist_2Elist @ A_27a ) ) )
% 5.55/5.76 = ( c_2Elist_2ENIL @ A_27a ) )
% 5.55/5.76 & ( ( ap @ ( c_2Elist_2EFLAT @ A_27b ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ( ty_2Elist_2Elist @ A_27b ) ) @ ( c_2Elist_2ENIL @ A_27b ) ) @ V0t ) )
% 5.55/5.76 = ( ap @ ( c_2Elist_2EFLAT @ A_27b ) @ V0t ) )
% 5.55/5.76 & ( ( ap @ ( c_2Elist_2EFLAT @ A_27c ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ( ty_2Elist_2Elist @ A_27c ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27c ) @ V1h ) @ V2t1 ) ) @ V3t2 ) )
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27c ) @ V1h ) @ ( ap @ ( c_2Elist_2EFLAT @ A_27c ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ( ty_2Elist_2Elist @ A_27c ) ) @ V2t1 ) @ V3t2 ) ) ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EEVERY__APPEND,axiom,
% 5.55/5.76 ! [A_27a: del,V0P: $i] :
% 5.55/5.76 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.76 => ! [V1l1: $i] :
% 5.55/5.76 ( ( mem @ V1l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V2l2: $i] :
% 5.55/5.76 ( ( mem @ V2l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EEVERY @ A_27a ) @ V0P ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V1l1 ) @ V2l2 ) ) )
% 5.55/5.76 <=> ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EEVERY @ A_27a ) @ V0P ) @ V1l1 ) )
% 5.55/5.76 & ( p @ ( ap @ ( ap @ ( c_2Elist_2EEVERY @ A_27a ) @ V0P ) @ V2l2 ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EEXISTS__APPEND,axiom,
% 5.55/5.76 ! [A_27a: del,V0P: $i] :
% 5.55/5.76 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.76 => ! [V1l1: $i] :
% 5.55/5.76 ( ( mem @ V1l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V2l2: $i] :
% 5.55/5.76 ( ( mem @ V2l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EEXISTS @ A_27a ) @ V0P ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V1l1 ) @ V2l2 ) ) )
% 5.55/5.76 <=> ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EEXISTS @ A_27a ) @ V0P ) @ V1l1 ) )
% 5.55/5.76 | ( p @ ( ap @ ( ap @ ( c_2Elist_2EEXISTS @ A_27a ) @ V0P ) @ V2l2 ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ENOT__EVERY,axiom,
% 5.55/5.76 ! [A_27a: del,V0P: $i] :
% 5.55/5.76 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.76 => ! [V1l: $i] :
% 5.55/5.76 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ~ ( p @ ( ap @ ( ap @ ( c_2Elist_2EEVERY @ A_27a ) @ V0P ) @ V1l ) )
% 5.55/5.76 <=> ( p @ ( ap @ ( ap @ ( c_2Elist_2EEXISTS @ A_27a ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27a @ bool @ bool ) @ c_2Ebool_2E_7E ) @ V0P ) ) @ V1l ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ENOT__EXISTS,axiom,
% 5.55/5.76 ! [A_27a: del,V0P: $i] :
% 5.55/5.76 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.76 => ! [V1l: $i] :
% 5.55/5.76 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ~ ( p @ ( ap @ ( ap @ ( c_2Elist_2EEXISTS @ A_27a ) @ V0P ) @ V1l ) )
% 5.55/5.76 <=> ( p @ ( ap @ ( ap @ ( c_2Elist_2EEVERY @ A_27a ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27a @ bool @ bool ) @ c_2Ebool_2E_7E ) @ V0P ) ) @ V1l ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EMEM__MAP,axiom,
% 5.55/5.76 ! [A_27a: del,A_27b: del,V0l: $i] :
% 5.55/5.76 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V1f: $i] :
% 5.55/5.76 ( ( mem @ V1f @ ( arr @ A_27a @ A_27b ) )
% 5.55/5.76 => ! [V2x: $i] :
% 5.55/5.76 ( ( mem @ V2x @ A_27b )
% 5.55/5.76 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ V2x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27b ) @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27a @ A_27b ) @ V1f ) @ V0l ) ) ) )
% 5.55/5.76 <=> ? [V3y: $i] :
% 5.55/5.76 ( ( mem @ V3y @ A_27a )
% 5.55/5.76 & ( V2x
% 5.55/5.76 = ( ap @ V1f @ V3y ) )
% 5.55/5.76 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3y ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V0l ) ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ELENGTH__NIL,axiom,
% 5.55/5.76 ! [A_27a: del,V0l: $i] :
% 5.55/5.76 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.76 = fo__c_2Enum_2E0 )
% 5.55/5.76 <=> ( V0l
% 5.55/5.76 = ( c_2Elist_2ENIL @ A_27a ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ELENGTH__NIL__SYM,axiom,
% 5.55/5.76 ! [A_27a: del,V0l: $i] :
% 5.55/5.76 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( fo__c_2Enum_2E0
% 5.55/5.76 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.76 <=> ( V0l
% 5.55/5.76 = ( c_2Elist_2ENIL @ A_27a ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ENULL__EQ,axiom,
% 5.55/5.76 ! [A_27a: del,V0l: $i] :
% 5.55/5.76 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( p @ ( ap @ ( c_2Elist_2ENULL @ A_27a ) @ V0l ) )
% 5.55/5.76 <=> ( V0l
% 5.55/5.76 = ( c_2Elist_2ENIL @ A_27a ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ENULL__LENGTH,axiom,
% 5.55/5.76 ! [A_27a: del,V0l: $i] :
% 5.55/5.76 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( p @ ( ap @ ( c_2Elist_2ENULL @ A_27a ) @ V0l ) )
% 5.55/5.76 <=> ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.76 = fo__c_2Enum_2E0 ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ELENGTH__CONS,axiom,
% 5.55/5.76 ! [A_27a: del,V0l: $i] :
% 5.55/5.76 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V1n: tp__ty_2Enum_2Enum] :
% 5.55/5.76 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.76 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.55/5.76 <=> ? [V2h: $i] :
% 5.55/5.76 ( ( mem @ V2h @ A_27a )
% 5.55/5.76 & ? [V3l_27: $i] :
% 5.55/5.76 ( ( mem @ V3l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V3l_27 ) )
% 5.55/5.76 = V1n )
% 5.55/5.76 & ( V0l
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2h ) @ V3l_27 ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ELENGTH__EQ__CONS,axiom,
% 5.55/5.76 ! [A_27a: del,V0P: $i] :
% 5.55/5.76 ( ( mem @ V0P @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ bool ) )
% 5.55/5.76 => ! [V1n: tp__ty_2Enum_2Enum] :
% 5.55/5.76 ( ! [V2l: $i] :
% 5.55/5.76 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2l ) )
% 5.55/5.76 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.55/5.76 => ( p @ ( ap @ V0P @ V2l ) ) ) )
% 5.55/5.76 <=> ! [V3l: $i] :
% 5.55/5.76 ( ( mem @ V3l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V3l ) )
% 5.55/5.76 = V1n )
% 5.55/5.76 => ( p
% 5.55/5.76 @ ( ap
% 5.55/5.76 @ ( lam @ ( ty_2Elist_2Elist @ A_27a )
% 5.55/5.76 @ ^ [V4l: $i] :
% 5.55/5.76 ( ap @ ( c_2Ebool_2E_21 @ A_27a )
% 5.55/5.76 @ ( lam @ A_27a
% 5.55/5.76 @ ^ [V5x: $i] : ( ap @ V0P @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V5x ) @ V4l ) ) ) ) )
% 5.55/5.76 @ V3l ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ELENGTH__EQ__SUM,axiom,
% 5.55/5.76 ! [A_27a: del,V0l: $i] :
% 5.55/5.76 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V1n1: tp__ty_2Enum_2Enum,V2n2: tp__ty_2Enum_2Enum] :
% 5.55/5.76 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.76 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1n1 ) ) @ ( inj__ty_2Enum_2Enum @ V2n2 ) ) ) )
% 5.55/5.76 <=> ? [V3l1: $i] :
% 5.55/5.76 ( ( mem @ V3l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 & ? [V4l2: $i] :
% 5.55/5.76 ( ( mem @ V4l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V3l1 ) )
% 5.55/5.76 = V1n1 )
% 5.55/5.76 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4l2 ) )
% 5.55/5.76 = V2n2 )
% 5.55/5.76 & ( V0l
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V3l1 ) @ V4l2 ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ELENGTH__EQ__NUM,axiom,
% 5.55/5.76 ! [A_27a: del] :
% 5.55/5.76 ( ! [V0l: $i] :
% 5.55/5.76 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.76 = fo__c_2Enum_2E0 )
% 5.55/5.76 <=> ( V0l
% 5.55/5.76 = ( c_2Elist_2ENIL @ A_27a ) ) ) )
% 5.55/5.76 & ! [V1l: $i] :
% 5.55/5.76 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V2n: tp__ty_2Enum_2Enum] :
% 5.55/5.76 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l ) )
% 5.55/5.76 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) )
% 5.55/5.76 <=> ? [V3h: $i] :
% 5.55/5.76 ( ( mem @ V3h @ A_27a )
% 5.55/5.76 & ? [V4l_27: $i] :
% 5.55/5.76 ( ( mem @ V4l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4l_27 ) )
% 5.55/5.76 = V2n )
% 5.55/5.76 & ( V1l
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3h ) @ V4l_27 ) ) ) ) ) )
% 5.55/5.76 & ! [V5l: $i] :
% 5.55/5.76 ( ( mem @ V5l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V6n1: tp__ty_2Enum_2Enum,V7n2: tp__ty_2Enum_2Enum] :
% 5.55/5.76 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V5l ) )
% 5.55/5.76 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V6n1 ) ) @ ( inj__ty_2Enum_2Enum @ V7n2 ) ) ) )
% 5.55/5.76 <=> ? [V8l1: $i] :
% 5.55/5.76 ( ( mem @ V8l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 & ? [V9l2: $i] :
% 5.55/5.76 ( ( mem @ V9l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V8l1 ) )
% 5.55/5.76 = V6n1 )
% 5.55/5.76 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V9l2 ) )
% 5.55/5.76 = V7n2 )
% 5.55/5.76 & ( V5l
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V8l1 ) @ V9l2 ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ELENGTH__EQ__NUM__compute,axiom,
% 5.55/5.76 ! [A_27a: del] :
% 5.55/5.76 ( ! [V0l: $i] :
% 5.55/5.76 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.76 = fo__c_2Enum_2E0 )
% 5.55/5.76 <=> ( V0l
% 5.55/5.76 = ( c_2Elist_2ENIL @ A_27a ) ) ) )
% 5.55/5.76 & ! [V1l: $i] :
% 5.55/5.76 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V2n: tp__ty_2Enum_2Enum] :
% 5.55/5.76 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l ) )
% 5.55/5.76 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) )
% 5.55/5.76 <=> ? [V3h: $i] :
% 5.55/5.76 ( ( mem @ V3h @ A_27a )
% 5.55/5.76 & ? [V4l_27: $i] :
% 5.55/5.76 ( ( mem @ V4l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4l_27 ) )
% 5.55/5.76 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.76 & ( V1l
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3h ) @ V4l_27 ) ) ) ) ) )
% 5.55/5.76 & ! [V5l: $i] :
% 5.55/5.76 ( ( mem @ V5l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V6n: tp__ty_2Enum_2Enum] :
% 5.55/5.76 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V5l ) )
% 5.55/5.76 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V6n ) ) ) ) )
% 5.55/5.76 <=> ? [V7h: $i] :
% 5.55/5.76 ( ( mem @ V7h @ A_27a )
% 5.55/5.76 & ? [V8l_27: $i] :
% 5.55/5.76 ( ( mem @ V8l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V8l_27 ) )
% 5.55/5.76 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V6n ) ) ) ) )
% 5.55/5.76 & ( V5l
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V7h ) @ V8l_27 ) ) ) ) ) )
% 5.55/5.76 & ! [V9l: $i] :
% 5.55/5.76 ( ( mem @ V9l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V10n1: tp__ty_2Enum_2Enum,V11n2: tp__ty_2Enum_2Enum] :
% 5.55/5.76 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V9l ) )
% 5.55/5.76 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V10n1 ) ) @ ( inj__ty_2Enum_2Enum @ V11n2 ) ) ) )
% 5.55/5.76 <=> ? [V12l1: $i] :
% 5.55/5.76 ( ( mem @ V12l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 & ? [V13l2: $i] :
% 5.55/5.76 ( ( mem @ V13l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V12l1 ) )
% 5.55/5.76 = V10n1 )
% 5.55/5.76 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V13l2 ) )
% 5.55/5.76 = V11n2 )
% 5.55/5.76 & ( V9l
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V12l1 ) @ V13l2 ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ELENGTH__EQ__NIL,axiom,
% 5.55/5.76 ! [A_27a: del,V0P: $i] :
% 5.55/5.76 ( ( mem @ V0P @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ bool ) )
% 5.55/5.76 => ( ! [V1l: $i] :
% 5.55/5.76 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l ) )
% 5.55/5.76 = fo__c_2Enum_2E0 )
% 5.55/5.76 => ( p @ ( ap @ V0P @ V1l ) ) ) )
% 5.55/5.76 <=> ( p @ ( ap @ V0P @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ECONS__ACYCLIC,axiom,
% 5.55/5.76 ! [A_27a: del,V0l: $i] :
% 5.55/5.76 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V1x: $i] :
% 5.55/5.76 ( ( mem @ V1x @ A_27a )
% 5.55/5.76 => ( ( V0l
% 5.55/5.76 != ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1x ) @ V0l ) )
% 5.55/5.76 & ( ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1x ) @ V0l )
% 5.55/5.76 != V0l ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EAPPEND__eq__NIL,axiom,
% 5.55/5.76 ! [A_27a: del] :
% 5.55/5.76 ( ! [V0l1: $i] :
% 5.55/5.76 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V1l2: $i] :
% 5.55/5.76 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( ( c_2Elist_2ENIL @ A_27a )
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V0l1 ) @ V1l2 ) )
% 5.55/5.76 <=> ( ( V0l1
% 5.55/5.76 = ( c_2Elist_2ENIL @ A_27a ) )
% 5.55/5.76 & ( V1l2
% 5.55/5.76 = ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) )
% 5.55/5.76 & ! [V2l1: $i] :
% 5.55/5.76 ( ( mem @ V2l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V3l2: $i] :
% 5.55/5.76 ( ( mem @ V3l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V2l1 ) @ V3l2 )
% 5.55/5.76 = ( c_2Elist_2ENIL @ A_27a ) )
% 5.55/5.76 <=> ( ( V2l1
% 5.55/5.76 = ( c_2Elist_2ENIL @ A_27a ) )
% 5.55/5.76 & ( V3l2
% 5.55/5.76 = ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EMAP__EQ__APPEND,axiom,
% 5.55/5.76 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.55/5.76 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.55/5.76 => ! [V1l: $i] :
% 5.55/5.76 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V2l1: $i] :
% 5.55/5.76 ( ( mem @ V2l1 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.76 => ! [V3l2: $i] :
% 5.55/5.76 ( ( mem @ V3l2 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.76 => ( ( ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27a @ A_27b ) @ V0f ) @ V1l )
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27b ) @ V2l1 ) @ V3l2 ) )
% 5.55/5.76 <=> ? [V4l10: $i] :
% 5.55/5.76 ( ( mem @ V4l10 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 & ? [V5l20: $i] :
% 5.55/5.76 ( ( mem @ V5l20 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 & ( V1l
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V4l10 ) @ V5l20 ) )
% 5.55/5.76 & ( V2l1
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27a @ A_27b ) @ V0f ) @ V4l10 ) )
% 5.55/5.76 & ( V3l2
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27a @ A_27b ) @ V0f ) @ V5l20 ) ) ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EAPPEND__EQ__SING,axiom,
% 5.55/5.76 ! [A_27a: del,V0l1: $i] :
% 5.55/5.76 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V1l2: $i] :
% 5.55/5.76 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V2e: $i] :
% 5.55/5.76 ( ( mem @ V2e @ A_27a )
% 5.55/5.76 => ( ( ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V0l1 ) @ V1l2 )
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2e ) @ ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.76 <=> ( ( ( V0l1
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2e ) @ ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.76 & ( V1l2
% 5.55/5.76 = ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.76 | ( ( V0l1
% 5.55/5.76 = ( c_2Elist_2ENIL @ A_27a ) )
% 5.55/5.76 & ( V1l2
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2e ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EAPPEND__11,axiom,
% 5.55/5.76 ! [A_27a: del] :
% 5.55/5.76 ( ! [V0l1: $i] :
% 5.55/5.76 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V1l2: $i] :
% 5.55/5.76 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V2l3: $i] :
% 5.55/5.76 ( ( mem @ V2l3 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V0l1 ) @ V1l2 )
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V0l1 ) @ V2l3 ) )
% 5.55/5.76 <=> ( V1l2 = V2l3 ) ) ) ) )
% 5.55/5.76 & ! [V3l1: $i] :
% 5.55/5.76 ( ( mem @ V3l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V4l2: $i] :
% 5.55/5.76 ( ( mem @ V4l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V5l3: $i] :
% 5.55/5.76 ( ( mem @ V5l3 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V4l2 ) @ V3l1 )
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V5l3 ) @ V3l1 ) )
% 5.55/5.76 <=> ( V4l2 = V5l3 ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EAPPEND__LENGTH__EQ,axiom,
% 5.55/5.76 ! [A_27a: del,V0l1: $i] :
% 5.55/5.76 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V1l1_27: $i] :
% 5.55/5.76 ( ( mem @ V1l1_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l1 ) )
% 5.55/5.76 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l1_27 ) ) )
% 5.55/5.76 => ! [V2l2: $i] :
% 5.55/5.76 ( ( mem @ V2l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V3l2_27: $i] :
% 5.55/5.76 ( ( mem @ V3l2_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2l2 ) )
% 5.55/5.76 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V3l2_27 ) ) )
% 5.55/5.76 => ( ( ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V0l1 ) @ V2l2 )
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V1l1_27 ) @ V3l2_27 ) )
% 5.55/5.76 <=> ( ( V0l1 = V1l1_27 )
% 5.55/5.76 & ( V2l2 = V3l2_27 ) ) ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EAPPEND__11__LENGTH,axiom,
% 5.55/5.76 ! [A_27a: del] :
% 5.55/5.76 ( ! [V0l1: $i] :
% 5.55/5.76 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V1l2: $i] :
% 5.55/5.76 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V2l1_27: $i] :
% 5.55/5.76 ( ( mem @ V2l1_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V3l2_27: $i] :
% 5.55/5.76 ( ( mem @ V3l2_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l1 ) )
% 5.55/5.76 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2l1_27 ) ) )
% 5.55/5.76 => ( ( ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V0l1 ) @ V1l2 )
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V2l1_27 ) @ V3l2_27 ) )
% 5.55/5.76 <=> ( ( V0l1 = V2l1_27 )
% 5.55/5.76 & ( V1l2 = V3l2_27 ) ) ) ) ) ) ) )
% 5.55/5.76 & ! [V4l1: $i] :
% 5.55/5.76 ( ( mem @ V4l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V5l2: $i] :
% 5.55/5.76 ( ( mem @ V5l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V6l1_27: $i] :
% 5.55/5.76 ( ( mem @ V6l1_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V7l2_27: $i] :
% 5.55/5.76 ( ( mem @ V7l2_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V5l2 ) )
% 5.55/5.76 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V7l2_27 ) ) )
% 5.55/5.76 => ( ( ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V4l1 ) @ V5l2 )
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V6l1_27 ) @ V7l2_27 ) )
% 5.55/5.76 <=> ( ( V4l1 = V6l1_27 )
% 5.55/5.76 & ( V5l2 = V7l2_27 ) ) ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EAPPEND__EQ__SELF,axiom,
% 5.55/5.76 ! [A_27a: del] :
% 5.55/5.76 ( ! [V0l1: $i] :
% 5.55/5.76 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V1l2: $i] :
% 5.55/5.76 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V0l1 ) @ V1l2 )
% 5.55/5.76 = V0l1 )
% 5.55/5.76 <=> ( V1l2
% 5.55/5.76 = ( c_2Elist_2ENIL @ A_27a ) ) ) ) )
% 5.55/5.76 & ! [V2l1: $i] :
% 5.55/5.76 ( ( mem @ V2l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V3l2: $i] :
% 5.55/5.76 ( ( mem @ V3l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V2l1 ) @ V3l2 )
% 5.55/5.76 = V3l2 )
% 5.55/5.76 <=> ( V2l1
% 5.55/5.76 = ( c_2Elist_2ENIL @ A_27a ) ) ) ) )
% 5.55/5.76 & ! [V4l1: $i] :
% 5.55/5.76 ( ( mem @ V4l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V5l2: $i] :
% 5.55/5.76 ( ( mem @ V5l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( V4l1
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V4l1 ) @ V5l2 ) )
% 5.55/5.76 <=> ( V5l2
% 5.55/5.76 = ( c_2Elist_2ENIL @ A_27a ) ) ) ) )
% 5.55/5.76 & ! [V6l1: $i] :
% 5.55/5.76 ( ( mem @ V6l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V7l2: $i] :
% 5.55/5.76 ( ( mem @ V7l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( V7l2
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V6l1 ) @ V7l2 ) )
% 5.55/5.76 <=> ( V6l1
% 5.55/5.76 = ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EMEM__SPLIT,axiom,
% 5.55/5.76 ! [A_27a: del,V0x: $i] :
% 5.55/5.76 ( ( mem @ V0x @ A_27a )
% 5.55/5.76 => ! [V1l: $i] :
% 5.55/5.76 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V1l ) ) )
% 5.55/5.76 <=> ? [V2l1: $i] :
% 5.55/5.76 ( ( mem @ V2l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 & ? [V3l2: $i] :
% 5.55/5.76 ( ( mem @ V3l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 & ( V1l
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V2l1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V0x ) @ V3l2 ) ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ELIST__EQ__REWRITE,axiom,
% 5.55/5.76 ! [A_27a: del,V0l1: $i] :
% 5.55/5.76 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V1l2: $i] :
% 5.55/5.76 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( V0l1 = V1l2 )
% 5.55/5.76 <=> ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l1 ) )
% 5.55/5.76 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l2 ) ) )
% 5.55/5.76 & ! [V2x: tp__ty_2Enum_2Enum] :
% 5.55/5.76 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V2x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l1 ) ) )
% 5.55/5.76 => ( ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V2x ) ) @ V0l1 )
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V2x ) ) @ V1l2 ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ELIST__EQ,axiom,
% 5.55/5.76 ! [A_27a: del,V0l1: $i] :
% 5.55/5.76 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V1l2: $i] :
% 5.55/5.76 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l1 ) )
% 5.55/5.76 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l2 ) ) )
% 5.55/5.76 & ! [V2x: tp__ty_2Enum_2Enum] :
% 5.55/5.76 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V2x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l1 ) ) )
% 5.55/5.76 => ( ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V2x ) ) @ V0l1 )
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V2x ) ) @ V1l2 ) ) ) )
% 5.55/5.76 => ( V0l1 = V1l2 ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EFOLDL__EQ__FOLDR,axiom,
% 5.55/5.76 ! [A_27a: del,V0f: $i] :
% 5.55/5.76 ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.55/5.76 => ! [V1l: $i] :
% 5.55/5.76 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V2e: $i] :
% 5.55/5.76 ( ( mem @ V2e @ A_27a )
% 5.55/5.76 => ( ( ( p @ ( ap @ ( c_2Ecombin_2EASSOC @ A_27a ) @ V0f ) )
% 5.55/5.76 & ( p @ ( ap @ ( c_2Ecombin_2ECOMM @ A_27a @ A_27a ) @ V0f ) ) )
% 5.55/5.76 => ( ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDL @ A_27a @ A_27a ) @ V0f ) @ V2e ) @ V1l )
% 5.55/5.76 = ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDR @ A_27a @ A_27a ) @ V0f ) @ V2e ) @ V1l ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EFOLDR__CONS,axiom,
% 5.55/5.76 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.55/5.76 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.55/5.76 => ! [V1ls: $i] :
% 5.55/5.76 ( ( mem @ V1ls @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V2a: $i] :
% 5.55/5.76 ( ( mem @ V2a @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.76 => ( ( ap
% 5.55/5.76 @ ( ap
% 5.55/5.76 @ ( ap @ ( c_2Elist_2EFOLDR @ A_27a @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.76 @ ( lam @ A_27a
% 5.55/5.76 @ ^ [V3x: $i] :
% 5.55/5.76 ( lam @ ( ty_2Elist_2Elist @ A_27b )
% 5.55/5.76 @ ^ [V4y: $i] : ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27b ) @ ( ap @ V0f @ V3x ) ) @ V4y ) ) ) )
% 5.55/5.76 @ V2a )
% 5.55/5.76 @ V1ls )
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27b ) @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27a @ A_27b ) @ V0f ) @ V1ls ) ) @ V2a ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ELENGTH__TL,axiom,
% 5.55/5.76 ! [A_27a: del,V0l: $i] :
% 5.55/5.76 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.76 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V0l ) ) )
% 5.55/5.76 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EFILTER__EQ__NIL,axiom,
% 5.55/5.76 ! [A_27a: del,V0P: $i] :
% 5.55/5.76 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.76 => ! [V1l: $i] :
% 5.55/5.76 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( ( ap @ ( ap @ ( c_2Elist_2EFILTER @ A_27a ) @ V0P ) @ V1l )
% 5.55/5.76 = ( c_2Elist_2ENIL @ A_27a ) )
% 5.55/5.76 <=> ( p
% 5.55/5.76 @ ( ap
% 5.55/5.76 @ ( ap @ ( c_2Elist_2EEVERY @ A_27a )
% 5.55/5.76 @ ( lam @ A_27a
% 5.55/5.76 @ ^ [V2x: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0P @ V2x ) ) ) )
% 5.55/5.76 @ V1l ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EFILTER__NEQ__NIL,axiom,
% 5.55/5.76 ! [A_27a: del,V0P: $i] :
% 5.55/5.76 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.76 => ! [V1l: $i] :
% 5.55/5.76 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( ( ap @ ( ap @ ( c_2Elist_2EFILTER @ A_27a ) @ V0P ) @ V1l )
% 5.55/5.76 != ( c_2Elist_2ENIL @ A_27a ) )
% 5.55/5.76 <=> ? [V2x: $i] :
% 5.55/5.76 ( ( mem @ V2x @ A_27a )
% 5.55/5.76 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V1l ) ) )
% 5.55/5.76 & ( p @ ( ap @ V0P @ V2x ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EFILTER__EQ__ID,axiom,
% 5.55/5.76 ! [A_27a: del,V0P: $i] :
% 5.55/5.76 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.76 => ! [V1l: $i] :
% 5.55/5.76 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( ( ap @ ( ap @ ( c_2Elist_2EFILTER @ A_27a ) @ V0P ) @ V1l )
% 5.55/5.76 = V1l )
% 5.55/5.76 <=> ( p @ ( ap @ ( ap @ ( c_2Elist_2EEVERY @ A_27a ) @ V0P ) @ V1l ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EFILTER__NEQ__ID,axiom,
% 5.55/5.76 ! [A_27a: del,V0P: $i] :
% 5.55/5.76 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.76 => ! [V1l: $i] :
% 5.55/5.76 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( ( ap @ ( ap @ ( c_2Elist_2EFILTER @ A_27a ) @ V0P ) @ V1l )
% 5.55/5.76 != V1l )
% 5.55/5.76 <=> ? [V2x: $i] :
% 5.55/5.76 ( ( mem @ V2x @ A_27a )
% 5.55/5.76 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V1l ) ) )
% 5.55/5.76 & ~ ( p @ ( ap @ V0P @ V2x ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EFILTER__EQ__CONS,axiom,
% 5.55/5.76 ! [A_27a: del,V0P: $i] :
% 5.55/5.76 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.76 => ! [V1l: $i] :
% 5.55/5.76 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V2h: $i] :
% 5.55/5.76 ( ( mem @ V2h @ A_27a )
% 5.55/5.76 => ! [V3lr: $i] :
% 5.55/5.76 ( ( mem @ V3lr @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( ( ap @ ( ap @ ( c_2Elist_2EFILTER @ A_27a ) @ V0P ) @ V1l )
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2h ) @ V3lr ) )
% 5.55/5.76 <=> ? [V4l1: $i] :
% 5.55/5.76 ( ( mem @ V4l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 & ? [V5l2: $i] :
% 5.55/5.76 ( ( mem @ V5l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 & ( V1l
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V4l1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2h ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) @ V5l2 ) )
% 5.55/5.76 & ( ( ap @ ( ap @ ( c_2Elist_2EFILTER @ A_27a ) @ V0P ) @ V4l1 )
% 5.55/5.76 = ( c_2Elist_2ENIL @ A_27a ) )
% 5.55/5.76 & ( ( ap @ ( ap @ ( c_2Elist_2EFILTER @ A_27a ) @ V0P ) @ V5l2 )
% 5.55/5.76 = V3lr )
% 5.55/5.76 & ( p @ ( ap @ V0P @ V2h ) ) ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EFILTER__APPEND__DISTRIB,axiom,
% 5.55/5.76 ! [A_27a: del,V0P: $i] :
% 5.55/5.76 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.76 => ! [V1L: $i] :
% 5.55/5.76 ( ( mem @ V1L @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V2M: $i] :
% 5.55/5.76 ( ( mem @ V2M @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( ap @ ( ap @ ( c_2Elist_2EFILTER @ A_27a ) @ V0P ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V1L ) @ V2M ) )
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EFILTER @ A_27a ) @ V0P ) @ V1L ) ) @ ( ap @ ( ap @ ( c_2Elist_2EFILTER @ A_27a ) @ V0P ) @ V2M ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EMEM,axiom,
% 5.55/5.76 ! [A_27a: del] :
% 5.55/5.76 ( ! [V0x: $i] :
% 5.55/5.76 ( ( mem @ V0x @ A_27a )
% 5.55/5.76 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) )
% 5.55/5.76 <=> $false ) )
% 5.55/5.76 & ! [V1x: $i] :
% 5.55/5.76 ( ( mem @ V1x @ A_27a )
% 5.55/5.76 => ! [V2h: $i] :
% 5.55/5.76 ( ( mem @ V2h @ A_27a )
% 5.55/5.76 => ! [V3t: $i] :
% 5.55/5.76 ( ( mem @ V3t @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V1x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2h ) @ V3t ) ) ) )
% 5.55/5.76 <=> ( ( V1x = V2h )
% 5.55/5.76 | ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V1x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V3t ) ) ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EFILTER__EQ__APPEND,axiom,
% 5.55/5.76 ! [A_27a: del,V0P: $i] :
% 5.55/5.76 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.76 => ! [V1l: $i] :
% 5.55/5.76 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V2l1: $i] :
% 5.55/5.76 ( ( mem @ V2l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V3l2: $i] :
% 5.55/5.76 ( ( mem @ V3l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( ( ap @ ( ap @ ( c_2Elist_2EFILTER @ A_27a ) @ V0P ) @ V1l )
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V2l1 ) @ V3l2 ) )
% 5.55/5.76 <=> ? [V4l3: $i] :
% 5.55/5.76 ( ( mem @ V4l3 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 & ? [V5l4: $i] :
% 5.55/5.76 ( ( mem @ V5l4 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 & ( V1l
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V4l3 ) @ V5l4 ) )
% 5.55/5.76 & ( ( ap @ ( ap @ ( c_2Elist_2EFILTER @ A_27a ) @ V0P ) @ V4l3 )
% 5.55/5.76 = V2l1 )
% 5.55/5.76 & ( ( ap @ ( ap @ ( c_2Elist_2EFILTER @ A_27a ) @ V0P ) @ V5l4 )
% 5.55/5.76 = V3l2 ) ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EEVERY__FILTER,axiom,
% 5.55/5.76 ! [A_27a: del,V0P1: $i] :
% 5.55/5.76 ( ( mem @ V0P1 @ ( arr @ A_27a @ bool ) )
% 5.55/5.76 => ! [V1P2: $i] :
% 5.55/5.76 ( ( mem @ V1P2 @ ( arr @ A_27a @ bool ) )
% 5.55/5.76 => ! [V2l: $i] :
% 5.55/5.76 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EEVERY @ A_27a ) @ V0P1 ) @ ( ap @ ( ap @ ( c_2Elist_2EFILTER @ A_27a ) @ V1P2 ) @ V2l ) ) )
% 5.55/5.76 <=> ( p
% 5.55/5.76 @ ( ap
% 5.55/5.76 @ ( ap @ ( c_2Elist_2EEVERY @ A_27a )
% 5.55/5.76 @ ( lam @ A_27a
% 5.55/5.76 @ ^ [V3x: $i] : ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ V1P2 @ V3x ) ) @ ( ap @ V0P1 @ V3x ) ) ) )
% 5.55/5.76 @ V2l ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EEVERY__FILTER__IMP,axiom,
% 5.55/5.76 ! [A_27a: del,V0P1: $i] :
% 5.55/5.76 ( ( mem @ V0P1 @ ( arr @ A_27a @ bool ) )
% 5.55/5.76 => ! [V1P2: $i] :
% 5.55/5.76 ( ( mem @ V1P2 @ ( arr @ A_27a @ bool ) )
% 5.55/5.76 => ! [V2l: $i] :
% 5.55/5.76 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EEVERY @ A_27a ) @ V0P1 ) @ V2l ) )
% 5.55/5.76 => ( p @ ( ap @ ( ap @ ( c_2Elist_2EEVERY @ A_27a ) @ V0P1 ) @ ( ap @ ( ap @ ( c_2Elist_2EFILTER @ A_27a ) @ V1P2 ) @ V2l ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EFILTER__COND__REWRITE,axiom,
% 5.55/5.76 ! [A_27a: del,V0P: $i] :
% 5.55/5.76 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.76 => ! [V1l: $i] :
% 5.55/5.76 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( ( ap @ ( ap @ ( c_2Elist_2EFILTER @ A_27a ) @ V0P ) @ ( c_2Elist_2ENIL @ A_27a ) )
% 5.55/5.76 = ( c_2Elist_2ENIL @ A_27a ) )
% 5.55/5.76 & ! [V2h: $i] :
% 5.55/5.76 ( ( mem @ V2h @ A_27a )
% 5.55/5.76 => ( ( p @ ( ap @ V0P @ V2h ) )
% 5.55/5.76 => ( ( ap @ ( ap @ ( c_2Elist_2EFILTER @ A_27a ) @ V0P ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2h ) @ V1l ) )
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2h ) @ ( ap @ ( ap @ ( c_2Elist_2EFILTER @ A_27a ) @ V0P ) @ V1l ) ) ) ) )
% 5.55/5.76 & ! [V3h: $i] :
% 5.55/5.76 ( ( mem @ V3h @ A_27a )
% 5.55/5.76 => ( ~ ( p @ ( ap @ V0P @ V3h ) )
% 5.55/5.76 => ( ( ap @ ( ap @ ( c_2Elist_2EFILTER @ A_27a ) @ V0P ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3h ) @ V1l ) )
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2EFILTER @ A_27a ) @ V0P ) @ V1l ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ENOT__NULL__MEM,axiom,
% 5.55/5.76 ! [A_27a: del,V0l: $i] :
% 5.55/5.76 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ~ ( p @ ( ap @ ( c_2Elist_2ENULL @ A_27a ) @ V0l ) )
% 5.55/5.76 <=> ? [V1e: $i] :
% 5.55/5.76 ( ( mem @ V1e @ A_27a )
% 5.55/5.76 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V1e ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V0l ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EEL__compute,axiom,
% 5.55/5.76 ! [A_27a: del,V0l: $i] :
% 5.55/5.76 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V1n: tp__ty_2Enum_2Enum] :
% 5.55/5.76 ( ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ V0l )
% 5.55/5.76 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ A_27a ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( ap @ c_2Eprim__rec_2EPRE @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V0l ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EEL__simp,axiom,
% 5.55/5.76 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1l: $i] :
% 5.55/5.76 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) @ V1l )
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( ap @ c_2Eprim__rec_2EPRE @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V1l ) ) )
% 5.55/5.76 & ( ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) @ V1l )
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V1l ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EEL__restricted,axiom,
% 5.55/5.76 ! [A_27a: del,A_27b: del,V0n: tp__ty_2Enum_2Enum,V1l: $i] :
% 5.55/5.76 ( ( mem @ V1l @ A_27b )
% 5.55/5.76 => ! [V2ls: $i] :
% 5.55/5.76 ( ( mem @ V2ls @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.76 => ( ( ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) )
% 5.55/5.76 = ( c_2Elist_2EHD @ A_27a ) )
% 5.55/5.76 & ( ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27b ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27b ) @ V1l ) @ V2ls ) )
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V2ls ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EEL__simp__restricted,axiom,
% 5.55/5.76 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1l: $i] :
% 5.55/5.76 ( ( mem @ V1l @ A_27a )
% 5.55/5.76 => ! [V2ls: $i] :
% 5.55/5.76 ( ( mem @ V2ls @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1l ) @ V2ls ) )
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( ap @ c_2Eprim__rec_2EPRE @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) @ V2ls ) )
% 5.55/5.76 & ( ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1l ) @ V2ls ) )
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) @ V2ls ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ESUM__eq__0,axiom,
% 5.55/5.76 ! [V0ls: tp__c_ty_2Elist_2Elist_ty_2Enum_2Enum] :
% 5.55/5.76 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Elist_2ESUM @ ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ V0ls ) ) )
% 5.55/5.76 = fo__c_2Enum_2E0 )
% 5.55/5.76 <=> ! [V1x: tp__ty_2Enum_2Enum] :
% 5.55/5.76 ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ ty_2Enum_2Enum ) @ ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ V0ls ) ) ) )
% 5.55/5.76 => ( V1x = fo__c_2Enum_2E0 ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ENULL__FILTER,axiom,
% 5.55/5.76 ! [A_27a: del,V0P: $i] :
% 5.55/5.76 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.76 => ! [V1ls: $i] :
% 5.55/5.76 ( ( mem @ V1ls @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( p @ ( ap @ ( c_2Elist_2ENULL @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EFILTER @ A_27a ) @ V0P ) @ V1ls ) ) )
% 5.55/5.76 <=> ! [V2x: $i] :
% 5.55/5.76 ( ( mem @ V2x @ A_27a )
% 5.55/5.76 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V1ls ) ) )
% 5.55/5.76 => ~ ( p @ ( ap @ V0P @ V2x ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EWF__LIST__PRED,axiom,
% 5.55/5.76 ! [A_27a: del] :
% 5.55/5.76 ( p
% 5.55/5.76 @ ( ap @ ( c_2Erelation_2EWF @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 @ ( lam @ ( ty_2Elist_2Elist @ A_27a )
% 5.55/5.76 @ ^ [V0L1: $i] :
% 5.55/5.76 ( lam @ ( ty_2Elist_2Elist @ A_27a )
% 5.55/5.76 @ ^ [V1L2: $i] :
% 5.55/5.76 ( ap @ ( c_2Ebool_2E_3F @ A_27a )
% 5.55/5.76 @ ( lam @ A_27a
% 5.55/5.76 @ ^ [V2h: $i] : ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Elist_2Elist @ A_27a ) ) @ V1L2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2h ) @ V0L1 ) ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ELIST__REL__rules,axiom,
% 5.55/5.76 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.55/5.76 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.55/5.76 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27a @ A_27b ) @ V0R ) @ ( c_2Elist_2ENIL @ A_27a ) ) @ ( c_2Elist_2ENIL @ A_27b ) ) )
% 5.55/5.76 & ! [V1h1: $i] :
% 5.55/5.76 ( ( mem @ V1h1 @ A_27a )
% 5.55/5.76 => ! [V2h2: $i] :
% 5.55/5.76 ( ( mem @ V2h2 @ A_27b )
% 5.55/5.76 => ! [V3t1: $i] :
% 5.55/5.76 ( ( mem @ V3t1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V4t2: $i] :
% 5.55/5.76 ( ( mem @ V4t2 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.76 => ( ( ( p @ ( ap @ ( ap @ V0R @ V1h1 ) @ V2h2 ) )
% 5.55/5.76 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27a @ A_27b ) @ V0R ) @ V3t1 ) @ V4t2 ) ) )
% 5.55/5.76 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27a @ A_27b ) @ V0R ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1h1 ) @ V3t1 ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27b ) @ V2h2 ) @ V4t2 ) ) ) ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ELIST__REL__ind,axiom,
% 5.55/5.76 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.55/5.76 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.55/5.76 => ! [V1LIST__REL_27: $i] :
% 5.55/5.76 ( ( mem @ V1LIST__REL_27 @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ ( ty_2Elist_2Elist @ A_27b ) @ bool ) ) )
% 5.55/5.76 => ( ( ( p @ ( ap @ ( ap @ V1LIST__REL_27 @ ( c_2Elist_2ENIL @ A_27a ) ) @ ( c_2Elist_2ENIL @ A_27b ) ) )
% 5.55/5.76 & ! [V2h1: $i] :
% 5.55/5.76 ( ( mem @ V2h1 @ A_27a )
% 5.55/5.76 => ! [V3h2: $i] :
% 5.55/5.76 ( ( mem @ V3h2 @ A_27b )
% 5.55/5.76 => ! [V4t1: $i] :
% 5.55/5.76 ( ( mem @ V4t1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V5t2: $i] :
% 5.55/5.76 ( ( mem @ V5t2 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.76 => ( ( ( p @ ( ap @ ( ap @ V0R @ V2h1 ) @ V3h2 ) )
% 5.55/5.76 & ( p @ ( ap @ ( ap @ V1LIST__REL_27 @ V4t1 ) @ V5t2 ) ) )
% 5.55/5.76 => ( p @ ( ap @ ( ap @ V1LIST__REL_27 @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2h1 ) @ V4t1 ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27b ) @ V3h2 ) @ V5t2 ) ) ) ) ) ) ) ) )
% 5.55/5.76 => ! [V6a0: $i] :
% 5.55/5.76 ( ( mem @ V6a0 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V7a1: $i] :
% 5.55/5.76 ( ( mem @ V7a1 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.76 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27a @ A_27b ) @ V0R ) @ V6a0 ) @ V7a1 ) )
% 5.55/5.76 => ( p @ ( ap @ ( ap @ V1LIST__REL_27 @ V6a0 ) @ V7a1 ) ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ELIST__REL__strongind,axiom,
% 5.55/5.76 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.55/5.76 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.55/5.76 => ! [V1LIST__REL_27: $i] :
% 5.55/5.76 ( ( mem @ V1LIST__REL_27 @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ ( ty_2Elist_2Elist @ A_27b ) @ bool ) ) )
% 5.55/5.76 => ( ( ( p @ ( ap @ ( ap @ V1LIST__REL_27 @ ( c_2Elist_2ENIL @ A_27a ) ) @ ( c_2Elist_2ENIL @ A_27b ) ) )
% 5.55/5.76 & ! [V2h1: $i] :
% 5.55/5.76 ( ( mem @ V2h1 @ A_27a )
% 5.55/5.76 => ! [V3h2: $i] :
% 5.55/5.76 ( ( mem @ V3h2 @ A_27b )
% 5.55/5.76 => ! [V4t1: $i] :
% 5.55/5.76 ( ( mem @ V4t1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V5t2: $i] :
% 5.55/5.76 ( ( mem @ V5t2 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.76 => ( ( ( p @ ( ap @ ( ap @ V0R @ V2h1 ) @ V3h2 ) )
% 5.55/5.76 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27a @ A_27b ) @ V0R ) @ V4t1 ) @ V5t2 ) )
% 5.55/5.76 & ( p @ ( ap @ ( ap @ V1LIST__REL_27 @ V4t1 ) @ V5t2 ) ) )
% 5.55/5.76 => ( p @ ( ap @ ( ap @ V1LIST__REL_27 @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2h1 ) @ V4t1 ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27b ) @ V3h2 ) @ V5t2 ) ) ) ) ) ) ) ) )
% 5.55/5.76 => ! [V6a0: $i] :
% 5.55/5.76 ( ( mem @ V6a0 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V7a1: $i] :
% 5.55/5.76 ( ( mem @ V7a1 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.76 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27a @ A_27b ) @ V0R ) @ V6a0 ) @ V7a1 ) )
% 5.55/5.76 => ( p @ ( ap @ ( ap @ V1LIST__REL_27 @ V6a0 ) @ V7a1 ) ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ELIST__REL__cases,axiom,
% 5.55/5.76 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.55/5.76 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.55/5.76 => ! [V1a0: $i] :
% 5.55/5.76 ( ( mem @ V1a0 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V2a1: $i] :
% 5.55/5.76 ( ( mem @ V2a1 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.76 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27a @ A_27b ) @ V0R ) @ V1a0 ) @ V2a1 ) )
% 5.55/5.76 <=> ( ( ( V1a0
% 5.55/5.76 = ( c_2Elist_2ENIL @ A_27a ) )
% 5.55/5.76 & ( V2a1
% 5.55/5.76 = ( c_2Elist_2ENIL @ A_27b ) ) )
% 5.55/5.76 | ? [V3h1: $i] :
% 5.55/5.76 ( ( mem @ V3h1 @ A_27a )
% 5.55/5.76 & ? [V4h2: $i] :
% 5.55/5.76 ( ( mem @ V4h2 @ A_27b )
% 5.55/5.76 & ? [V5t1: $i] :
% 5.55/5.76 ( ( mem @ V5t1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 & ? [V6t2: $i] :
% 5.55/5.76 ( ( mem @ V6t2 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.76 & ( V1a0
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3h1 ) @ V5t1 ) )
% 5.55/5.76 & ( V2a1
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27b ) @ V4h2 ) @ V6t2 ) )
% 5.55/5.76 & ( p @ ( ap @ ( ap @ V0R @ V3h1 ) @ V4h2 ) )
% 5.55/5.76 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27a @ A_27b ) @ V0R ) @ V5t1 ) @ V6t2 ) ) ) ) ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ELIST__REL__EL__EQN,axiom,
% 5.55/5.76 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.55/5.76 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.55/5.76 => ! [V1l1: $i] :
% 5.55/5.76 ( ( mem @ V1l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V2l2: $i] :
% 5.55/5.76 ( ( mem @ V2l2 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.76 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27a @ A_27b ) @ V0R ) @ V1l1 ) @ V2l2 ) )
% 5.55/5.76 <=> ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l1 ) )
% 5.55/5.76 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27b ) @ V2l2 ) ) )
% 5.55/5.76 & ! [V3n: tp__ty_2Enum_2Enum] :
% 5.55/5.76 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V3n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l1 ) ) )
% 5.55/5.76 => ( p @ ( ap @ ( ap @ V0R @ ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V3n ) ) @ V1l1 ) ) @ ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V3n ) ) @ V2l2 ) ) ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ELIST__REL__def,axiom,
% 5.55/5.76 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.55/5.76 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.55/5.76 => ! [V1a: $i] :
% 5.55/5.76 ( ( mem @ V1a @ A_27a )
% 5.55/5.76 => ! [V2as: $i] :
% 5.55/5.76 ( ( mem @ V2as @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V3b: $i] :
% 5.55/5.76 ( ( mem @ V3b @ A_27b )
% 5.55/5.76 => ! [V4bs: $i] :
% 5.55/5.76 ( ( mem @ V4bs @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.76 => ( ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27a @ A_27b ) @ V0R ) @ ( c_2Elist_2ENIL @ A_27a ) ) @ ( c_2Elist_2ENIL @ A_27b ) ) )
% 5.55/5.76 <=> $true )
% 5.55/5.76 & ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27a @ A_27b ) @ V0R ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1a ) @ V2as ) ) @ ( c_2Elist_2ENIL @ A_27b ) ) )
% 5.55/5.76 <=> $false )
% 5.55/5.76 & ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27a @ A_27b ) @ V0R ) @ ( c_2Elist_2ENIL @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27b ) @ V3b ) @ V4bs ) ) )
% 5.55/5.76 <=> $false )
% 5.55/5.76 & ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27a @ A_27b ) @ V0R ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1a ) @ V2as ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27b ) @ V3b ) @ V4bs ) ) )
% 5.55/5.76 <=> ( ( p @ ( ap @ ( ap @ V0R @ V1a ) @ V3b ) )
% 5.55/5.76 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27a @ A_27b ) @ V0R ) @ V2as ) @ V4bs ) ) ) ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ELIST__REL__mono,axiom,
% 5.55/5.76 ! [A_27a: del,A_27b: del,V0R1: $i] :
% 5.55/5.76 ( ( mem @ V0R1 @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.55/5.76 => ! [V1R2: $i] :
% 5.55/5.76 ( ( mem @ V1R2 @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.55/5.76 => ! [V2l1: $i] :
% 5.55/5.76 ( ( mem @ V2l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V3l2: $i] :
% 5.55/5.76 ( ( mem @ V3l2 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.76 => ( ! [V4x: $i] :
% 5.55/5.76 ( ( mem @ V4x @ A_27a )
% 5.55/5.76 => ! [V5y: $i] :
% 5.55/5.76 ( ( mem @ V5y @ A_27b )
% 5.55/5.76 => ( ( p @ ( ap @ ( ap @ V0R1 @ V4x ) @ V5y ) )
% 5.55/5.76 => ( p @ ( ap @ ( ap @ V1R2 @ V4x ) @ V5y ) ) ) ) )
% 5.55/5.76 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27a @ A_27b ) @ V0R1 ) @ V2l1 ) @ V3l2 ) )
% 5.55/5.76 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27a @ A_27b ) @ V1R2 ) @ V2l1 ) @ V3l2 ) ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ELIST__REL__NIL,axiom,
% 5.55/5.76 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.55/5.76 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.55/5.76 => ! [V1y: $i] :
% 5.55/5.76 ( ( mem @ V1y @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.76 => ! [V2x: $i] :
% 5.55/5.76 ( ( mem @ V2x @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27a @ A_27b ) @ V0R ) @ ( c_2Elist_2ENIL @ A_27a ) ) @ V1y ) )
% 5.55/5.76 <=> ( V1y
% 5.55/5.76 = ( c_2Elist_2ENIL @ A_27b ) ) )
% 5.55/5.76 & ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27a @ A_27b ) @ V0R ) @ V2x ) @ ( c_2Elist_2ENIL @ A_27b ) ) )
% 5.55/5.76 <=> ( V2x
% 5.55/5.76 = ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ELIST__REL__CONS1,axiom,
% 5.55/5.76 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.55/5.76 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.55/5.76 => ! [V1h: $i] :
% 5.55/5.76 ( ( mem @ V1h @ A_27a )
% 5.55/5.76 => ! [V2t: $i] :
% 5.55/5.76 ( ( mem @ V2t @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V3xs: $i] :
% 5.55/5.76 ( ( mem @ V3xs @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.76 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27a @ A_27b ) @ V0R ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1h ) @ V2t ) ) @ V3xs ) )
% 5.55/5.76 <=> ? [V4h_27: $i] :
% 5.55/5.76 ( ( mem @ V4h_27 @ A_27b )
% 5.55/5.76 & ? [V5t_27: $i] :
% 5.55/5.76 ( ( mem @ V5t_27 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.76 & ( V3xs
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27b ) @ V4h_27 ) @ V5t_27 ) )
% 5.55/5.76 & ( p @ ( ap @ ( ap @ V0R @ V1h ) @ V4h_27 ) )
% 5.55/5.76 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27a @ A_27b ) @ V0R ) @ V2t ) @ V5t_27 ) ) ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ELIST__REL__CONS2,axiom,
% 5.55/5.76 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.55/5.76 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.55/5.76 => ! [V1xs: $i] :
% 5.55/5.76 ( ( mem @ V1xs @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V2h: $i] :
% 5.55/5.76 ( ( mem @ V2h @ A_27b )
% 5.55/5.76 => ! [V3t: $i] :
% 5.55/5.76 ( ( mem @ V3t @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.76 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27a @ A_27b ) @ V0R ) @ V1xs ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27b ) @ V2h ) @ V3t ) ) )
% 5.55/5.76 <=> ? [V4h_27: $i] :
% 5.55/5.76 ( ( mem @ V4h_27 @ A_27a )
% 5.55/5.76 & ? [V5t_27: $i] :
% 5.55/5.76 ( ( mem @ V5t_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 & ( V1xs
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4h_27 ) @ V5t_27 ) )
% 5.55/5.76 & ( p @ ( ap @ ( ap @ V0R @ V4h_27 ) @ V2h ) )
% 5.55/5.76 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27a @ A_27b ) @ V0R ) @ V5t_27 ) @ V3t ) ) ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ELIST__REL__CONJ,axiom,
% 5.55/5.76 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.55/5.76 ( ( mem @ V0P @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.55/5.76 => ! [V1Q: $i] :
% 5.55/5.76 ( ( mem @ V1Q @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.55/5.76 => ! [V2l1: $i] :
% 5.55/5.76 ( ( mem @ V2l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V3l2: $i] :
% 5.55/5.76 ( ( mem @ V3l2 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.76 => ( ( p
% 5.55/5.76 @ ( ap
% 5.55/5.76 @ ( ap
% 5.55/5.76 @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27a @ A_27b )
% 5.55/5.76 @ ( lam @ A_27a
% 5.55/5.76 @ ^ [V4a: $i] :
% 5.55/5.76 ( lam @ A_27b
% 5.55/5.76 @ ^ [V5b: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ V0P @ V4a ) @ V5b ) ) @ ( ap @ ( ap @ V1Q @ V4a ) @ V5b ) ) ) ) )
% 5.55/5.76 @ V2l1 )
% 5.55/5.76 @ V3l2 ) )
% 5.55/5.76 <=> ( ( p
% 5.55/5.76 @ ( ap
% 5.55/5.76 @ ( ap
% 5.55/5.76 @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27a @ A_27b )
% 5.55/5.76 @ ( lam @ A_27a
% 5.55/5.76 @ ^ [V6a: $i] :
% 5.55/5.76 ( lam @ A_27b
% 5.55/5.76 @ ^ [V7b: $i] : ( ap @ ( ap @ V0P @ V6a ) @ V7b ) ) ) )
% 5.55/5.76 @ V2l1 )
% 5.55/5.76 @ V3l2 ) )
% 5.55/5.76 & ( p
% 5.55/5.76 @ ( ap
% 5.55/5.76 @ ( ap
% 5.55/5.76 @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27a @ A_27b )
% 5.55/5.76 @ ( lam @ A_27a
% 5.55/5.76 @ ^ [V8a: $i] :
% 5.55/5.76 ( lam @ A_27b
% 5.55/5.76 @ ^ [V9b: $i] : ( ap @ ( ap @ V1Q @ V8a ) @ V9b ) ) ) )
% 5.55/5.76 @ V2l1 )
% 5.55/5.76 @ V3l2 ) ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ELIST__REL__MAP1,axiom,
% 5.55/5.76 ! [A_27a: del,A_27b: del,A_27c: del,V0R: $i] :
% 5.55/5.76 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.55/5.76 => ! [V1f: $i] :
% 5.55/5.76 ( ( mem @ V1f @ ( arr @ A_27c @ A_27a ) )
% 5.55/5.76 => ! [V2l1: $i] :
% 5.55/5.76 ( ( mem @ V2l1 @ ( ty_2Elist_2Elist @ A_27c ) )
% 5.55/5.76 => ! [V3l2: $i] :
% 5.55/5.76 ( ( mem @ V3l2 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.76 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27a @ A_27b ) @ V0R ) @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27c @ A_27a ) @ V1f ) @ V2l1 ) ) @ V3l2 ) )
% 5.55/5.76 <=> ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27c @ A_27b ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27c @ ( arr @ A_27b @ bool ) @ A_27a ) @ V0R ) @ V1f ) ) @ V2l1 ) @ V3l2 ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ELIST__REL__MAP2,axiom,
% 5.55/5.76 ! [A_27a: del,A_27b: del,A_27c: del,V0R: $i] :
% 5.55/5.76 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.55/5.76 => ! [V1l1: $i] :
% 5.55/5.76 ( ( mem @ V1l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V2f: $i] :
% 5.55/5.76 ( ( mem @ V2f @ ( arr @ A_27c @ A_27b ) )
% 5.55/5.76 => ! [V3l2: $i] :
% 5.55/5.76 ( ( mem @ V3l2 @ ( ty_2Elist_2Elist @ A_27c ) )
% 5.55/5.76 => ( ( p
% 5.55/5.76 @ ( ap
% 5.55/5.76 @ ( ap
% 5.55/5.76 @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27a @ A_27b )
% 5.55/5.76 @ ( lam @ A_27a
% 5.55/5.76 @ ^ [V4a: $i] :
% 5.55/5.76 ( lam @ A_27b
% 5.55/5.76 @ ^ [V5b: $i] : ( ap @ ( ap @ V0R @ V4a ) @ V5b ) ) ) )
% 5.55/5.76 @ V1l1 )
% 5.55/5.76 @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27c @ A_27b ) @ V2f ) @ V3l2 ) ) )
% 5.55/5.76 <=> ( p
% 5.55/5.76 @ ( ap
% 5.55/5.76 @ ( ap
% 5.55/5.76 @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27a @ A_27c )
% 5.55/5.76 @ ( lam @ A_27a
% 5.55/5.76 @ ^ [V6a: $i] :
% 5.55/5.76 ( lam @ A_27c
% 5.55/5.76 @ ^ [V7b: $i] : ( ap @ ( ap @ V0R @ V6a ) @ ( ap @ V2f @ V7b ) ) ) ) )
% 5.55/5.76 @ V1l1 )
% 5.55/5.76 @ V3l2 ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ELIST__REL__LENGTH,axiom,
% 5.55/5.76 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.55/5.76 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.55/5.76 => ! [V1x: $i] :
% 5.55/5.76 ( ( mem @ V1x @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V2y: $i] :
% 5.55/5.76 ( ( mem @ V2y @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.76 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27a @ A_27b ) @ V0R ) @ V1x ) @ V2y ) )
% 5.55/5.76 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1x ) )
% 5.55/5.76 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27b ) @ V2y ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ELIST__REL__SPLIT1,axiom,
% 5.55/5.76 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.55/5.76 ( ( mem @ V0P @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.55/5.76 => ! [V1xs2: $i] :
% 5.55/5.76 ( ( mem @ V1xs2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V2xs1: $i] :
% 5.55/5.76 ( ( mem @ V2xs1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V3zs: $i] :
% 5.55/5.76 ( ( mem @ V3zs @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.76 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27a @ A_27b ) @ V0P ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V2xs1 ) @ V1xs2 ) ) @ V3zs ) )
% 5.55/5.76 <=> ? [V4ys1: $i] :
% 5.55/5.76 ( ( mem @ V4ys1 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.76 & ? [V5ys2: $i] :
% 5.55/5.76 ( ( mem @ V5ys2 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.76 & ( V3zs
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27b ) @ V4ys1 ) @ V5ys2 ) )
% 5.55/5.76 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27a @ A_27b ) @ V0P ) @ V2xs1 ) @ V4ys1 ) )
% 5.55/5.76 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27a @ A_27b ) @ V0P ) @ V1xs2 ) @ V5ys2 ) ) ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ELIST__REL__SPLIT2,axiom,
% 5.55/5.76 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.55/5.76 ( ( mem @ V0P @ ( arr @ A_27b @ ( arr @ A_27a @ bool ) ) )
% 5.55/5.76 => ! [V1xs2: $i] :
% 5.55/5.76 ( ( mem @ V1xs2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V2xs1: $i] :
% 5.55/5.76 ( ( mem @ V2xs1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V3zs: $i] :
% 5.55/5.76 ( ( mem @ V3zs @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.76 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27b @ A_27a ) @ V0P ) @ V3zs ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V2xs1 ) @ V1xs2 ) ) )
% 5.55/5.76 <=> ? [V4ys1: $i] :
% 5.55/5.76 ( ( mem @ V4ys1 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.76 & ? [V5ys2: $i] :
% 5.55/5.76 ( ( mem @ V5ys2 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.76 & ( V3zs
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27b ) @ V4ys1 ) @ V5ys2 ) )
% 5.55/5.76 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27b @ A_27a ) @ V0P ) @ V4ys1 ) @ V2xs1 ) )
% 5.55/5.76 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27b @ A_27a ) @ V0P ) @ V5ys2 ) @ V1xs2 ) ) ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2Elist__size__cong,axiom,
% 5.55/5.76 ! [A_27a: del,V0M: $i] :
% 5.55/5.76 ( ( mem @ V0M @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V1N: $i] :
% 5.55/5.76 ( ( mem @ V1N @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V2f: $i] :
% 5.55/5.76 ( ( mem @ V2f @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.55/5.76 => ! [V3f_27: $i] :
% 5.55/5.76 ( ( mem @ V3f_27 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.55/5.76 => ( ( ( V0M = V1N )
% 5.55/5.76 & ! [V4x: $i] :
% 5.55/5.76 ( ( mem @ V4x @ A_27a )
% 5.55/5.76 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V4x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V1N ) ) )
% 5.55/5.76 => ( ( surj__ty_2Enum_2Enum @ ( ap @ V2f @ V4x ) )
% 5.55/5.76 = ( surj__ty_2Enum_2Enum @ ( ap @ V3f_27 @ V4x ) ) ) ) ) )
% 5.55/5.76 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( c_2Elist_2Elist__size @ A_27a ) @ V2f ) @ V0M ) )
% 5.55/5.76 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( c_2Elist_2Elist__size @ A_27a ) @ V3f_27 ) @ V1N ) ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EFOLDR__CONG,axiom,
% 5.55/5.76 ! [A_27a: del,A_27b: del,V0l: $i] :
% 5.55/5.76 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V1l_27: $i] :
% 5.55/5.76 ( ( mem @ V1l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V2b: $i] :
% 5.55/5.76 ( ( mem @ V2b @ A_27b )
% 5.55/5.76 => ! [V3b_27: $i] :
% 5.55/5.76 ( ( mem @ V3b_27 @ A_27b )
% 5.55/5.76 => ! [V4f: $i] :
% 5.55/5.76 ( ( mem @ V4f @ ( arr @ A_27a @ ( arr @ A_27b @ A_27b ) ) )
% 5.55/5.76 => ! [V5f_27: $i] :
% 5.55/5.76 ( ( mem @ V5f_27 @ ( arr @ A_27a @ ( arr @ A_27b @ A_27b ) ) )
% 5.55/5.76 => ( ( ( V0l = V1l_27 )
% 5.55/5.76 & ( V2b = V3b_27 )
% 5.55/5.76 & ! [V6x: $i] :
% 5.55/5.76 ( ( mem @ V6x @ A_27a )
% 5.55/5.76 => ! [V7a: $i] :
% 5.55/5.76 ( ( mem @ V7a @ A_27b )
% 5.55/5.76 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V6x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V1l_27 ) ) )
% 5.55/5.76 => ( ( ap @ ( ap @ V4f @ V6x ) @ V7a )
% 5.55/5.76 = ( ap @ ( ap @ V5f_27 @ V6x ) @ V7a ) ) ) ) ) )
% 5.55/5.76 => ( ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDR @ A_27a @ A_27b ) @ V4f ) @ V2b ) @ V0l )
% 5.55/5.76 = ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDR @ A_27a @ A_27b ) @ V5f_27 ) @ V3b_27 ) @ V1l_27 ) ) ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EFOLDL__CONG,axiom,
% 5.55/5.76 ! [A_27a: del,A_27b: del,V0l: $i] :
% 5.55/5.76 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V1l_27: $i] :
% 5.55/5.76 ( ( mem @ V1l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V2b: $i] :
% 5.55/5.76 ( ( mem @ V2b @ A_27b )
% 5.55/5.76 => ! [V3b_27: $i] :
% 5.55/5.76 ( ( mem @ V3b_27 @ A_27b )
% 5.55/5.76 => ! [V4f: $i] :
% 5.55/5.76 ( ( mem @ V4f @ ( arr @ A_27b @ ( arr @ A_27a @ A_27b ) ) )
% 5.55/5.76 => ! [V5f_27: $i] :
% 5.55/5.76 ( ( mem @ V5f_27 @ ( arr @ A_27b @ ( arr @ A_27a @ A_27b ) ) )
% 5.55/5.76 => ( ( ( V0l = V1l_27 )
% 5.55/5.76 & ( V2b = V3b_27 )
% 5.55/5.76 & ! [V6x: $i] :
% 5.55/5.76 ( ( mem @ V6x @ A_27a )
% 5.55/5.76 => ! [V7a: $i] :
% 5.55/5.76 ( ( mem @ V7a @ A_27b )
% 5.55/5.76 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V6x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V1l_27 ) ) )
% 5.55/5.76 => ( ( ap @ ( ap @ V4f @ V7a ) @ V6x )
% 5.55/5.76 = ( ap @ ( ap @ V5f_27 @ V7a ) @ V6x ) ) ) ) ) )
% 5.55/5.76 => ( ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDL @ A_27a @ A_27b ) @ V4f ) @ V2b ) @ V0l )
% 5.55/5.76 = ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDL @ A_27a @ A_27b ) @ V5f_27 ) @ V3b_27 ) @ V1l_27 ) ) ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EMAP__CONG,axiom,
% 5.55/5.76 ! [A_27a: del,A_27b: del,V0l1: $i] :
% 5.55/5.76 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V1l2: $i] :
% 5.55/5.76 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V2f: $i] :
% 5.55/5.76 ( ( mem @ V2f @ ( arr @ A_27a @ A_27b ) )
% 5.55/5.76 => ! [V3f_27: $i] :
% 5.55/5.76 ( ( mem @ V3f_27 @ ( arr @ A_27a @ A_27b ) )
% 5.55/5.76 => ( ( ( V0l1 = V1l2 )
% 5.55/5.76 & ! [V4x: $i] :
% 5.55/5.76 ( ( mem @ V4x @ A_27a )
% 5.55/5.76 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V4x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V1l2 ) ) )
% 5.55/5.76 => ( ( ap @ V2f @ V4x )
% 5.55/5.76 = ( ap @ V3f_27 @ V4x ) ) ) ) )
% 5.55/5.76 => ( ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27a @ A_27b ) @ V2f ) @ V0l1 )
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27a @ A_27b ) @ V3f_27 ) @ V1l2 ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EMAP2__CONG,axiom,
% 5.55/5.76 ! [A_27a: del,A_27b: del,A_27c: del,V0l1: $i] :
% 5.55/5.76 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V1l1_27: $i] :
% 5.55/5.76 ( ( mem @ V1l1_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V2l2: $i] :
% 5.55/5.76 ( ( mem @ V2l2 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.76 => ! [V3l2_27: $i] :
% 5.55/5.76 ( ( mem @ V3l2_27 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.76 => ! [V4f: $i] :
% 5.55/5.76 ( ( mem @ V4f @ ( arr @ A_27a @ ( arr @ A_27b @ A_27c ) ) )
% 5.55/5.76 => ! [V5f_27: $i] :
% 5.55/5.76 ( ( mem @ V5f_27 @ ( arr @ A_27a @ ( arr @ A_27b @ A_27c ) ) )
% 5.55/5.76 => ( ( ( V0l1 = V1l1_27 )
% 5.55/5.76 & ( V2l2 = V3l2_27 )
% 5.55/5.76 & ! [V6x: $i] :
% 5.55/5.76 ( ( mem @ V6x @ A_27a )
% 5.55/5.76 => ! [V7y: $i] :
% 5.55/5.76 ( ( mem @ V7y @ A_27b )
% 5.55/5.76 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V6x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V1l1_27 ) ) )
% 5.55/5.76 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ V7y ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27b ) @ V3l2_27 ) ) ) )
% 5.55/5.76 => ( ( ap @ ( ap @ V4f @ V6x ) @ V7y )
% 5.55/5.76 = ( ap @ ( ap @ V5f_27 @ V6x ) @ V7y ) ) ) ) ) )
% 5.55/5.76 => ( ( ap @ ( ap @ ( ap @ ( c_2Elist_2EMAP2 @ A_27c @ A_27a @ A_27b ) @ V4f ) @ V0l1 ) @ V2l2 )
% 5.55/5.76 = ( ap @ ( ap @ ( ap @ ( c_2Elist_2EMAP2 @ A_27c @ A_27a @ A_27b ) @ V5f_27 ) @ V1l1_27 ) @ V3l2_27 ) ) ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EEXISTS__CONG,axiom,
% 5.55/5.76 ! [A_27a: del,V0l1: $i] :
% 5.55/5.76 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V1l2: $i] :
% 5.55/5.76 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V2P: $i] :
% 5.55/5.76 ( ( mem @ V2P @ ( arr @ A_27a @ bool ) )
% 5.55/5.76 => ! [V3P_27: $i] :
% 5.55/5.76 ( ( mem @ V3P_27 @ ( arr @ A_27a @ bool ) )
% 5.55/5.76 => ( ( ( V0l1 = V1l2 )
% 5.55/5.76 & ! [V4x: $i] :
% 5.55/5.76 ( ( mem @ V4x @ A_27a )
% 5.55/5.76 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V4x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V1l2 ) ) )
% 5.55/5.76 => ( ( p @ ( ap @ V2P @ V4x ) )
% 5.55/5.76 <=> ( p @ ( ap @ V3P_27 @ V4x ) ) ) ) ) )
% 5.55/5.76 => ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EEXISTS @ A_27a ) @ V2P ) @ V0l1 ) )
% 5.55/5.76 <=> ( p @ ( ap @ ( ap @ ( c_2Elist_2EEXISTS @ A_27a ) @ V3P_27 ) @ V1l2 ) ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EEVERY__CONG,axiom,
% 5.55/5.76 ! [A_27a: del,V0l1: $i] :
% 5.55/5.76 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V1l2: $i] :
% 5.55/5.76 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V2P: $i] :
% 5.55/5.76 ( ( mem @ V2P @ ( arr @ A_27a @ bool ) )
% 5.55/5.76 => ! [V3P_27: $i] :
% 5.55/5.76 ( ( mem @ V3P_27 @ ( arr @ A_27a @ bool ) )
% 5.55/5.76 => ( ( ( V0l1 = V1l2 )
% 5.55/5.76 & ! [V4x: $i] :
% 5.55/5.76 ( ( mem @ V4x @ A_27a )
% 5.55/5.76 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V4x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V1l2 ) ) )
% 5.55/5.76 => ( ( p @ ( ap @ V2P @ V4x ) )
% 5.55/5.76 <=> ( p @ ( ap @ V3P_27 @ V4x ) ) ) ) ) )
% 5.55/5.76 => ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EEVERY @ A_27a ) @ V2P ) @ V0l1 ) )
% 5.55/5.76 <=> ( p @ ( ap @ ( ap @ ( c_2Elist_2EEVERY @ A_27a ) @ V3P_27 ) @ V1l2 ) ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EEVERY__MONOTONIC,axiom,
% 5.55/5.76 ! [A_27a: del,V0P: $i] :
% 5.55/5.76 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.76 => ! [V1Q: $i] :
% 5.55/5.76 ( ( mem @ V1Q @ ( arr @ A_27a @ bool ) )
% 5.55/5.76 => ( ! [V2x: $i] :
% 5.55/5.76 ( ( mem @ V2x @ A_27a )
% 5.55/5.76 => ( ( p @ ( ap @ V0P @ V2x ) )
% 5.55/5.76 => ( p @ ( ap @ V1Q @ V2x ) ) ) )
% 5.55/5.76 => ! [V3l: $i] :
% 5.55/5.76 ( ( mem @ V3l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EEVERY @ A_27a ) @ V0P ) @ V3l ) )
% 5.55/5.76 => ( p @ ( ap @ ( ap @ ( c_2Elist_2EEVERY @ A_27a ) @ V1Q ) @ V3l ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(ax_thm_2Elist_2EZIP__def,axiom,
% 5.55/5.76 ! [A_27a: del,A_27b: del] :
% 5.55/5.76 ( ! [V0l2: $i] :
% 5.55/5.76 ( ( mem @ V0l2 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.76 => ( ( ap @ ( c_2Elist_2EZIP @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27b ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) @ V0l2 ) )
% 5.55/5.76 = ( c_2Elist_2ENIL @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) ) )
% 5.55/5.76 & ! [V1l1: $i] :
% 5.55/5.76 ( ( mem @ V1l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( ap @ ( c_2Elist_2EZIP @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27b ) ) @ V1l1 ) @ ( c_2Elist_2ENIL @ A_27b ) ) )
% 5.55/5.76 = ( c_2Elist_2ENIL @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) ) )
% 5.55/5.76 & ! [V2x1: $i] :
% 5.55/5.76 ( ( mem @ V2x1 @ A_27a )
% 5.55/5.76 => ! [V3l1: $i] :
% 5.55/5.76 ( ( mem @ V3l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V4x2: $i] :
% 5.55/5.76 ( ( mem @ V4x2 @ A_27b )
% 5.55/5.76 => ! [V5l2: $i] :
% 5.55/5.76 ( ( mem @ V5l2 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.76 => ( ( ap @ ( c_2Elist_2EZIP @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2x1 ) @ V3l1 ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27b ) @ V4x2 ) @ V5l2 ) ) )
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V2x1 ) @ V4x2 ) ) @ ( ap @ ( c_2Elist_2EZIP @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27b ) ) @ V3l1 ) @ V5l2 ) ) ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EZIP,axiom,
% 5.55/5.76 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del] :
% 5.55/5.76 ( ( ( ap @ ( c_2Elist_2EZIP @ A_27c @ A_27d ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27c ) @ ( ty_2Elist_2Elist @ A_27d ) ) @ ( c_2Elist_2ENIL @ A_27c ) ) @ ( c_2Elist_2ENIL @ A_27d ) ) )
% 5.55/5.76 = ( c_2Elist_2ENIL @ ( ty_2Epair_2Eprod @ A_27c @ A_27d ) ) )
% 5.55/5.76 & ! [V0x1: $i] :
% 5.55/5.76 ( ( mem @ V0x1 @ A_27a )
% 5.55/5.76 => ! [V1l1: $i] :
% 5.55/5.76 ( ( mem @ V1l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V2x2: $i] :
% 5.55/5.76 ( ( mem @ V2x2 @ A_27b )
% 5.55/5.76 => ! [V3l2: $i] :
% 5.55/5.76 ( ( mem @ V3l2 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.76 => ( ( ap @ ( c_2Elist_2EZIP @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V0x1 ) @ V1l1 ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27b ) @ V2x2 ) @ V3l2 ) ) )
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V0x1 ) @ V2x2 ) ) @ ( ap @ ( c_2Elist_2EZIP @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27b ) ) @ V1l1 ) @ V3l2 ) ) ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(ax_thm_2Elist_2EUNZIP,axiom,
% 5.55/5.76 ! [A_27a: del,A_27b: del] :
% 5.55/5.76 ( ( ( ap @ ( c_2Elist_2EUNZIP @ A_27a @ A_27b ) @ ( c_2Elist_2ENIL @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) )
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27b ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) @ ( c_2Elist_2ENIL @ A_27b ) ) )
% 5.55/5.76 & ! [V0x: $i] :
% 5.55/5.76 ( ( mem @ V0x @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) )
% 5.55/5.76 => ! [V1l: $i] :
% 5.55/5.76 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) )
% 5.55/5.76 => ( ( ap @ ( c_2Elist_2EUNZIP @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ V0x ) @ V1l ) )
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Epair_2EFST @ A_27a @ A_27b ) @ V0x ) ) @ ( ap @ ( c_2Epair_2EFST @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27b ) ) @ ( ap @ ( c_2Elist_2EUNZIP @ A_27a @ A_27b ) @ V1l ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27b ) @ ( ap @ ( c_2Epair_2ESND @ A_27a @ A_27b ) @ V0x ) ) @ ( ap @ ( c_2Epair_2ESND @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27b ) ) @ ( ap @ ( c_2Elist_2EUNZIP @ A_27a @ A_27b ) @ V1l ) ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EUNZIP__THM,axiom,
% 5.55/5.76 ! [A_27a: del,A_27b: del,V0x: $i] :
% 5.55/5.76 ( ( mem @ V0x @ A_27a )
% 5.55/5.76 => ! [V1y: $i] :
% 5.55/5.76 ( ( mem @ V1y @ A_27b )
% 5.55/5.76 => ! [V2t: $i] :
% 5.55/5.76 ( ( mem @ V2t @ ( ty_2Elist_2Elist @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) )
% 5.55/5.76 => ( ( ( ap @ ( c_2Elist_2EUNZIP @ A_27a @ A_27b ) @ ( c_2Elist_2ENIL @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) )
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27b ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) @ ( c_2Elist_2ENIL @ A_27b ) ) )
% 5.55/5.76 & ( ( ap @ ( c_2Elist_2EUNZIP @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V0x ) @ V1y ) ) @ V2t ) )
% 5.55/5.76 = ( ap
% 5.55/5.76 @ ( ap @ ( c_2Ebool_2ELET @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27b ) ) @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27b ) ) )
% 5.55/5.76 @ ( ap @ ( c_2Epair_2EUNCURRY @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27b ) @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27b ) ) )
% 5.55/5.76 @ ( lam @ ( ty_2Elist_2Elist @ A_27a )
% 5.55/5.76 @ ^ [V3L1: $i] :
% 5.55/5.76 ( lam @ ( ty_2Elist_2Elist @ A_27b )
% 5.55/5.76 @ ^ [V4L2: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V0x ) @ V3L1 ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27b ) @ V1y ) @ V4L2 ) ) ) ) ) )
% 5.55/5.76 @ ( ap @ ( c_2Elist_2EUNZIP @ A_27a @ A_27b ) @ V2t ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EUNZIP__MAP,axiom,
% 5.55/5.76 ! [A_27a: del,A_27b: del,V0L: $i] :
% 5.55/5.76 ( ( mem @ V0L @ ( ty_2Elist_2Elist @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) )
% 5.55/5.76 => ( ( ap @ ( c_2Elist_2EUNZIP @ A_27a @ A_27b ) @ V0L )
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ A_27a ) @ ( c_2Epair_2EFST @ A_27a @ A_27b ) ) @ V0L ) ) @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ A_27b ) @ ( c_2Epair_2ESND @ A_27a @ A_27b ) ) @ V0L ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ELENGTH__ZIP,axiom,
% 5.55/5.76 ! [A_27a: del,A_27b: del,V0l1: $i] :
% 5.55/5.76 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V1l2: $i] :
% 5.55/5.76 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.76 => ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l1 ) )
% 5.55/5.76 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27b ) @ V1l2 ) ) )
% 5.55/5.76 => ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( ap @ ( c_2Elist_2EZIP @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27b ) ) @ V0l1 ) @ V1l2 ) ) ) )
% 5.55/5.76 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l1 ) ) )
% 5.55/5.76 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( ap @ ( c_2Elist_2EZIP @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27b ) ) @ V0l1 ) @ V1l2 ) ) ) )
% 5.55/5.76 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27b ) @ V1l2 ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ELENGTH__UNZIP,axiom,
% 5.55/5.76 ! [A_27a: del,A_27b: del,V0pl: $i] :
% 5.55/5.76 ( ( mem @ V0pl @ ( ty_2Elist_2Elist @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) )
% 5.55/5.76 => ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ ( ap @ ( c_2Epair_2EFST @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27b ) ) @ ( ap @ ( c_2Elist_2EUNZIP @ A_27a @ A_27b ) @ V0pl ) ) ) )
% 5.55/5.76 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ V0pl ) ) )
% 5.55/5.76 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27b ) @ ( ap @ ( c_2Epair_2ESND @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27b ) ) @ ( ap @ ( c_2Elist_2EUNZIP @ A_27a @ A_27b ) @ V0pl ) ) ) )
% 5.55/5.76 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ V0pl ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EZIP__UNZIP,axiom,
% 5.55/5.76 ! [A_27a: del,A_27b: del,V0l: $i] :
% 5.55/5.76 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) )
% 5.55/5.76 => ( ( ap @ ( c_2Elist_2EZIP @ A_27a @ A_27b ) @ ( ap @ ( c_2Elist_2EUNZIP @ A_27a @ A_27b ) @ V0l ) )
% 5.55/5.76 = V0l ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EUNZIP__ZIP,axiom,
% 5.55/5.76 ! [A_27a: del,A_27b: del,V0l1: $i] :
% 5.55/5.76 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V1l2: $i] :
% 5.55/5.76 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.76 => ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l1 ) )
% 5.55/5.76 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27b ) @ V1l2 ) ) )
% 5.55/5.76 => ( ( ap @ ( c_2Elist_2EUNZIP @ A_27a @ A_27b ) @ ( ap @ ( c_2Elist_2EZIP @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27b ) ) @ V0l1 ) @ V1l2 ) ) )
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27b ) ) @ V0l1 ) @ V1l2 ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EZIP__MAP,axiom,
% 5.55/5.76 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0l1: $i] :
% 5.55/5.76 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V1l2: $i] :
% 5.55/5.76 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.76 => ! [V2f1: $i] :
% 5.55/5.76 ( ( mem @ V2f1 @ ( arr @ A_27a @ A_27c ) )
% 5.55/5.76 => ! [V3f2: $i] :
% 5.55/5.76 ( ( mem @ V3f2 @ ( arr @ A_27b @ A_27d ) )
% 5.55/5.76 => ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l1 ) )
% 5.55/5.76 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27b ) @ V1l2 ) ) )
% 5.55/5.76 => ( ( ( ap @ ( c_2Elist_2EZIP @ A_27c @ A_27b ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27c ) @ ( ty_2Elist_2Elist @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27a @ A_27c ) @ V2f1 ) @ V0l1 ) ) @ V1l2 ) )
% 5.55/5.76 = ( ap
% 5.55/5.76 @ ( ap @ ( c_2Elist_2EMAP @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ ( ty_2Epair_2Eprod @ A_27c @ A_27b ) )
% 5.55/5.76 @ ( lam @ ( ty_2Epair_2Eprod @ A_27a @ A_27b )
% 5.55/5.76 @ ^ [V4p: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27c @ A_27b ) @ ( ap @ V2f1 @ ( ap @ ( c_2Epair_2EFST @ A_27a @ A_27b ) @ V4p ) ) ) @ ( ap @ ( c_2Epair_2ESND @ A_27a @ A_27b ) @ V4p ) ) ) )
% 5.55/5.76 @ ( ap @ ( c_2Elist_2EZIP @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27b ) ) @ V0l1 ) @ V1l2 ) ) ) )
% 5.55/5.76 & ( ( ap @ ( c_2Elist_2EZIP @ A_27a @ A_27d ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27d ) ) @ V0l1 ) @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27b @ A_27d ) @ V3f2 ) @ V1l2 ) ) )
% 5.55/5.76 = ( ap
% 5.55/5.76 @ ( ap @ ( c_2Elist_2EMAP @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ ( ty_2Epair_2Eprod @ A_27a @ A_27d ) )
% 5.55/5.76 @ ( lam @ ( ty_2Epair_2Eprod @ A_27a @ A_27b )
% 5.55/5.76 @ ^ [V5p: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27d ) @ ( ap @ ( c_2Epair_2EFST @ A_27a @ A_27b ) @ V5p ) ) @ ( ap @ V3f2 @ ( ap @ ( c_2Epair_2ESND @ A_27a @ A_27b ) @ V5p ) ) ) ) )
% 5.55/5.76 @ ( ap @ ( c_2Elist_2EZIP @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27b ) ) @ V0l1 ) @ V1l2 ) ) ) ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EMEM__ZIP,axiom,
% 5.55/5.76 ! [A_27a: del,A_27b: del,V0l1: $i] :
% 5.55/5.76 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V1l2: $i] :
% 5.55/5.76 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.76 => ! [V2p: $i] :
% 5.55/5.76 ( ( mem @ V2p @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) )
% 5.55/5.76 => ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l1 ) )
% 5.55/5.76 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27b ) @ V1l2 ) ) )
% 5.55/5.76 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ V2p ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( ap @ ( c_2Elist_2EZIP @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27b ) ) @ V0l1 ) @ V1l2 ) ) ) ) )
% 5.55/5.76 <=> ? [V3n: tp__ty_2Enum_2Enum] :
% 5.55/5.76 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V3n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l1 ) ) )
% 5.55/5.76 & ( V2p
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V3n ) ) @ V0l1 ) ) @ ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V3n ) ) @ V1l2 ) ) ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EEL__ZIP,axiom,
% 5.55/5.76 ! [A_27a: del,A_27b: del,V0l1: $i] :
% 5.55/5.76 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V1l2: $i] :
% 5.55/5.76 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.76 => ! [V2n: tp__ty_2Enum_2Enum] :
% 5.55/5.76 ( ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l1 ) )
% 5.55/5.76 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27b ) @ V1l2 ) ) )
% 5.55/5.76 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l1 ) ) ) )
% 5.55/5.76 => ( ( ap @ ( ap @ ( c_2Elist_2EEL @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( ap @ ( c_2Elist_2EZIP @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27b ) ) @ V0l1 ) @ V1l2 ) ) )
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ V0l1 ) ) @ ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ V1l2 ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EMAP2__ZIP,axiom,
% 5.55/5.76 ! [A_27a: del,A_27b: del,A_27c: del,V0l1: $i] :
% 5.55/5.76 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V1l2: $i] :
% 5.55/5.76 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.76 => ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l1 ) )
% 5.55/5.76 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27b ) @ V1l2 ) ) )
% 5.55/5.76 => ! [V2f: $i] :
% 5.55/5.76 ( ( mem @ V2f @ ( arr @ A_27a @ ( arr @ A_27b @ A_27c ) ) )
% 5.55/5.76 => ( ( ap @ ( ap @ ( ap @ ( c_2Elist_2EMAP2 @ A_27c @ A_27a @ A_27b ) @ V2f ) @ V0l1 ) @ V1l2 )
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2EMAP @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ A_27c ) @ ( ap @ ( c_2Epair_2EUNCURRY @ A_27a @ A_27b @ A_27c ) @ V2f ) ) @ ( ap @ ( c_2Elist_2EZIP @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27b ) ) @ V0l1 ) @ V1l2 ) ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EMAP2__MAP,axiom,
% 5.55/5.76 ! [A_27a: del,A_27b: del,A_27c: del,V0l1: $i] :
% 5.55/5.76 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V1l2: $i] :
% 5.55/5.76 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.76 => ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l1 ) )
% 5.55/5.76 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27b ) @ V1l2 ) ) )
% 5.55/5.76 => ! [V2f: $i] :
% 5.55/5.76 ( ( mem @ V2f @ ( arr @ A_27a @ ( arr @ A_27b @ A_27c ) ) )
% 5.55/5.76 => ( ( ap @ ( ap @ ( ap @ ( c_2Elist_2EMAP2 @ A_27c @ A_27a @ A_27b ) @ V2f ) @ V0l1 ) @ V1l2 )
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2EMAP @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ A_27c ) @ ( ap @ ( c_2Epair_2EUNCURRY @ A_27a @ A_27b @ A_27c ) @ V2f ) ) @ ( ap @ ( c_2Elist_2EZIP @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27b ) ) @ V0l1 ) @ V1l2 ) ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EMAP__ZIP,axiom,
% 5.55/5.76 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0l1: $i] :
% 5.55/5.76 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V1l2: $i] :
% 5.55/5.76 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.76 => ! [V2f: $i] :
% 5.55/5.76 ( ( mem @ V2f @ ( arr @ A_27a @ A_27c ) )
% 5.55/5.76 => ! [V3g: $i] :
% 5.55/5.76 ( ( mem @ V3g @ ( arr @ A_27b @ A_27d ) )
% 5.55/5.76 => ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l1 ) )
% 5.55/5.76 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27b ) @ V1l2 ) ) )
% 5.55/5.76 => ( ( ( ap @ ( ap @ ( c_2Elist_2EMAP @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ A_27a ) @ ( c_2Epair_2EFST @ A_27a @ A_27b ) ) @ ( ap @ ( c_2Elist_2EZIP @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27b ) ) @ V0l1 ) @ V1l2 ) ) )
% 5.55/5.76 = V0l1 )
% 5.55/5.76 & ( ( ap @ ( ap @ ( c_2Elist_2EMAP @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ A_27b ) @ ( c_2Epair_2ESND @ A_27a @ A_27b ) ) @ ( ap @ ( c_2Elist_2EZIP @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27b ) ) @ V0l1 ) @ V1l2 ) ) )
% 5.55/5.76 = V1l2 )
% 5.55/5.76 & ( ( ap @ ( ap @ ( c_2Elist_2EMAP @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ A_27c ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ A_27c @ A_27a ) @ V2f ) @ ( c_2Epair_2EFST @ A_27a @ A_27b ) ) ) @ ( ap @ ( c_2Elist_2EZIP @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27b ) ) @ V0l1 ) @ V1l2 ) ) )
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27a @ A_27c ) @ V2f ) @ V0l1 ) )
% 5.55/5.76 & ( ( ap @ ( ap @ ( c_2Elist_2EMAP @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ A_27d ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ A_27d @ A_27b ) @ V3g ) @ ( c_2Epair_2ESND @ A_27a @ A_27b ) ) ) @ ( ap @ ( c_2Elist_2EZIP @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27b ) ) @ V0l1 ) @ V1l2 ) ) )
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27b @ A_27d ) @ V3g ) @ V1l2 ) ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EMEM__EL,axiom,
% 5.55/5.76 ! [A_27a: del,V0l: $i] :
% 5.55/5.76 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V1x: $i] :
% 5.55/5.76 ( ( mem @ V1x @ A_27a )
% 5.55/5.76 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V1x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V0l ) ) )
% 5.55/5.76 <=> ? [V2n: tp__ty_2Enum_2Enum] :
% 5.55/5.76 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.76 & ( V1x
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ V0l ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ESUM__MAP__PLUS__ZIP,axiom,
% 5.55/5.76 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.55/5.76 ( ( mem @ V0f @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ ty_2Enum_2Enum ) )
% 5.55/5.76 => ! [V1g: $i] :
% 5.55/5.76 ( ( mem @ V1g @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.55/5.76 => ! [V2h: $i] :
% 5.55/5.76 ( ( mem @ V2h @ ( arr @ A_27b @ ty_2Enum_2Enum ) )
% 5.55/5.76 => ! [V3ls1: $i] :
% 5.55/5.76 ( ( mem @ V3ls1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V4ls2: $i] :
% 5.55/5.76 ( ( mem @ V4ls2 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.76 => ( ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V3ls1 ) )
% 5.55/5.76 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27b ) @ V4ls2 ) ) )
% 5.55/5.76 & ! [V5x: $i] :
% 5.55/5.76 ( ( mem @ V5x @ A_27a )
% 5.55/5.76 => ! [V6y: $i] :
% 5.55/5.76 ( ( mem @ V6y @ A_27b )
% 5.55/5.76 => ( ( surj__ty_2Enum_2Enum @ ( ap @ V0f @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V5x ) @ V6y ) ) )
% 5.55/5.76 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ V1g @ V5x ) ) @ ( ap @ V2h @ V6y ) ) ) ) ) ) )
% 5.55/5.76 => ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Elist_2ESUM @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ ty_2Enum_2Enum ) @ V0f ) @ ( ap @ ( c_2Elist_2EZIP @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27b ) ) @ V3ls1 ) @ V4ls2 ) ) ) ) )
% 5.55/5.76 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Elist_2ESUM @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27a @ ty_2Enum_2Enum ) @ V1g ) @ V3ls1 ) ) ) @ ( ap @ c_2Elist_2ESUM @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27b @ ty_2Enum_2Enum ) @ V2h ) @ V4ls2 ) ) ) ) ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ELIST__REL__EVERY__ZIP,axiom,
% 5.55/5.76 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.55/5.76 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.55/5.76 => ! [V1l1: $i] :
% 5.55/5.76 ( ( mem @ V1l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V2l2: $i] :
% 5.55/5.76 ( ( mem @ V2l2 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.76 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27a @ A_27b ) @ V0R ) @ V1l1 ) @ V2l2 ) )
% 5.55/5.76 <=> ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l1 ) )
% 5.55/5.76 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27b ) @ V2l2 ) ) )
% 5.55/5.76 & ( p @ ( ap @ ( ap @ ( c_2Elist_2EEVERY @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( ap @ ( c_2Epair_2EUNCURRY @ A_27a @ A_27b @ bool ) @ V0R ) ) @ ( ap @ ( c_2Elist_2EZIP @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27b ) ) @ V1l1 ) @ V2l2 ) ) ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(ax_thm_2Elist_2EREVERSE__DEF,axiom,
% 5.55/5.76 ! [A_27a: del] :
% 5.55/5.76 ( ( ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ ( c_2Elist_2ENIL @ A_27a ) )
% 5.55/5.76 = ( c_2Elist_2ENIL @ A_27a ) )
% 5.55/5.76 & ! [V0h: $i] :
% 5.55/5.76 ( ( mem @ V0h @ A_27a )
% 5.55/5.76 => ! [V1t: $i] :
% 5.55/5.76 ( ( mem @ V1t @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V0h ) @ V1t ) )
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ V1t ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V0h ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EREVERSE__APPEND,axiom,
% 5.55/5.76 ! [A_27a: del,V0l1: $i] :
% 5.55/5.76 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V1l2: $i] :
% 5.55/5.76 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V0l1 ) @ V1l2 ) )
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ V1l2 ) ) @ ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ V0l1 ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EREVERSE__REVERSE,axiom,
% 5.55/5.76 ! [A_27a: del,V0l: $i] :
% 5.55/5.76 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ V0l ) )
% 5.55/5.76 = V0l ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EREVERSE__11,axiom,
% 5.55/5.76 ! [A_27a: del,V0l1: $i] :
% 5.55/5.76 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V1l2: $i] :
% 5.55/5.76 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ V0l1 )
% 5.55/5.76 = ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ V1l2 ) )
% 5.55/5.76 <=> ( V0l1 = V1l2 ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EMEM__REVERSE,axiom,
% 5.55/5.76 ! [A_27a: del,V0l: $i] :
% 5.55/5.76 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V1x: $i] :
% 5.55/5.76 ( ( mem @ V1x @ A_27a )
% 5.55/5.76 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V1x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ V0l ) ) ) )
% 5.55/5.76 <=> ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V1x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V0l ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ELENGTH__REVERSE,axiom,
% 5.55/5.76 ! [A_27a: del,V0l: $i] :
% 5.55/5.76 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ V0l ) ) )
% 5.55/5.76 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EREVERSE__EQ__NIL,axiom,
% 5.55/5.76 ! [A_27a: del,V0l: $i] :
% 5.55/5.76 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ V0l )
% 5.55/5.76 = ( c_2Elist_2ENIL @ A_27a ) )
% 5.55/5.76 <=> ( V0l
% 5.55/5.76 = ( c_2Elist_2ENIL @ A_27a ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EREVERSE__EQ__SING,axiom,
% 5.55/5.76 ! [A_27a: del,V0l: $i] :
% 5.55/5.76 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V1e: $i] :
% 5.55/5.76 ( ( mem @ V1e @ A_27a )
% 5.55/5.76 => ( ( ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ V0l )
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1e ) @ ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.76 <=> ( V0l
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1e ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EFILTER__REVERSE,axiom,
% 5.55/5.76 ! [A_27a: del,V0l: $i] :
% 5.55/5.76 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V1P: $i] :
% 5.55/5.76 ( ( mem @ V1P @ ( arr @ A_27a @ bool ) )
% 5.55/5.76 => ( ( ap @ ( ap @ ( c_2Elist_2EFILTER @ A_27a ) @ V1P ) @ ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ V0l ) )
% 5.55/5.76 = ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EFILTER @ A_27a ) @ V1P ) @ V0l ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(ax_thm_2Elist_2ELAST__DEF,axiom,
% 5.55/5.76 ! [A_27a: del,V0h: $i] :
% 5.55/5.76 ( ( mem @ V0h @ A_27a )
% 5.55/5.76 => ! [V1t: $i] :
% 5.55/5.76 ( ( mem @ V1t @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( ap @ ( c_2Elist_2ELAST @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V0h ) @ V1t ) )
% 5.55/5.76 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ A_27a ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Elist_2Elist @ A_27a ) ) @ V1t ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) @ V0h ) @ ( ap @ ( c_2Elist_2ELAST @ A_27a ) @ V1t ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(ax_thm_2Elist_2EFRONT__DEF,axiom,
% 5.55/5.76 ! [A_27a: del,V0h: $i] :
% 5.55/5.76 ( ( mem @ V0h @ A_27a )
% 5.55/5.76 => ! [V1t: $i] :
% 5.55/5.76 ( ( mem @ V1t @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( ap @ ( c_2Elist_2EFRONT @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V0h ) @ V1t ) )
% 5.55/5.76 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Elist_2Elist @ A_27a ) ) @ V1t ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V0h ) @ ( ap @ ( c_2Elist_2EFRONT @ A_27a ) @ V1t ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ELAST__CONS,axiom,
% 5.55/5.76 ! [A_27a: del] :
% 5.55/5.76 ( ! [V0x: $i] :
% 5.55/5.76 ( ( mem @ V0x @ A_27a )
% 5.55/5.76 => ( ( ap @ ( c_2Elist_2ELAST @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V0x ) @ ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.76 = V0x ) )
% 5.55/5.76 & ! [V1x: $i] :
% 5.55/5.76 ( ( mem @ V1x @ A_27a )
% 5.55/5.76 => ! [V2y: $i] :
% 5.55/5.76 ( ( mem @ V2y @ A_27a )
% 5.55/5.76 => ! [V3z: $i] :
% 5.55/5.76 ( ( mem @ V3z @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( ap @ ( c_2Elist_2ELAST @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1x ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2y ) @ V3z ) ) )
% 5.55/5.76 = ( ap @ ( c_2Elist_2ELAST @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2y ) @ V3z ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ELAST__EL,axiom,
% 5.55/5.76 ! [A_27a: del,V0ls: $i] :
% 5.55/5.76 ( ( mem @ V0ls @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( V0ls
% 5.55/5.76 != ( c_2Elist_2ENIL @ A_27a ) )
% 5.55/5.76 => ( ( ap @ ( c_2Elist_2ELAST @ A_27a ) @ V0ls )
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( ap @ c_2Eprim__rec_2EPRE @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0ls ) ) ) @ V0ls ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ELAST__MAP,axiom,
% 5.55/5.76 ! [A_27a: del,A_27b: del,V0l: $i] :
% 5.55/5.76 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V1f: $i] :
% 5.55/5.76 ( ( mem @ V1f @ ( arr @ A_27a @ A_27b ) )
% 5.55/5.76 => ( ( V0l
% 5.55/5.76 != ( c_2Elist_2ENIL @ A_27a ) )
% 5.55/5.76 => ( ( ap @ ( c_2Elist_2ELAST @ A_27b ) @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27a @ A_27b ) @ V1f ) @ V0l ) )
% 5.55/5.76 = ( ap @ V1f @ ( ap @ ( c_2Elist_2ELAST @ A_27a ) @ V0l ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EFRONT__CONS,axiom,
% 5.55/5.76 ! [A_27a: del] :
% 5.55/5.76 ( ! [V0x: $i] :
% 5.55/5.76 ( ( mem @ V0x @ A_27a )
% 5.55/5.76 => ( ( ap @ ( c_2Elist_2EFRONT @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V0x ) @ ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.76 = ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.76 & ! [V1x: $i] :
% 5.55/5.76 ( ( mem @ V1x @ A_27a )
% 5.55/5.76 => ! [V2y: $i] :
% 5.55/5.76 ( ( mem @ V2y @ A_27a )
% 5.55/5.76 => ! [V3z: $i] :
% 5.55/5.76 ( ( mem @ V3z @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( ap @ ( c_2Elist_2EFRONT @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1x ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2y ) @ V3z ) ) )
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1x ) @ ( ap @ ( c_2Elist_2EFRONT @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2y ) @ V3z ) ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ELENGTH__FRONT__CONS,axiom,
% 5.55/5.76 ! [A_27a: del,V0x: $i] :
% 5.55/5.76 ( ( mem @ V0x @ A_27a )
% 5.55/5.76 => ! [V1xs: $i] :
% 5.55/5.76 ( ( mem @ V1xs @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ ( ap @ ( c_2Elist_2EFRONT @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V0x ) @ V1xs ) ) ) )
% 5.55/5.76 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1xs ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EFRONT__CONS__EQ__NIL,axiom,
% 5.55/5.76 ! [A_27a: del] :
% 5.55/5.76 ( ! [V0x: $i] :
% 5.55/5.76 ( ( mem @ V0x @ A_27a )
% 5.55/5.76 => ! [V1xs: $i] :
% 5.55/5.76 ( ( mem @ V1xs @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( ( ap @ ( c_2Elist_2EFRONT @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V0x ) @ V1xs ) )
% 5.55/5.76 = ( c_2Elist_2ENIL @ A_27a ) )
% 5.55/5.76 <=> ( V1xs
% 5.55/5.76 = ( c_2Elist_2ENIL @ A_27a ) ) ) ) )
% 5.55/5.76 & ! [V2x: $i] :
% 5.55/5.76 ( ( mem @ V2x @ A_27a )
% 5.55/5.76 => ! [V3xs: $i] :
% 5.55/5.76 ( ( mem @ V3xs @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( ( c_2Elist_2ENIL @ A_27a )
% 5.55/5.76 = ( ap @ ( c_2Elist_2EFRONT @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2x ) @ V3xs ) ) )
% 5.55/5.76 <=> ( V3xs
% 5.55/5.76 = ( c_2Elist_2ENIL @ A_27a ) ) ) ) )
% 5.55/5.76 & ! [V4x: $i] :
% 5.55/5.76 ( ( mem @ V4x @ A_27a )
% 5.55/5.76 => ! [V5xs: $i] :
% 5.55/5.76 ( ( mem @ V5xs @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( p @ ( ap @ ( c_2Elist_2ENULL @ A_27a ) @ ( ap @ ( c_2Elist_2EFRONT @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4x ) @ V5xs ) ) ) )
% 5.55/5.76 <=> ( p @ ( ap @ ( c_2Elist_2ENULL @ A_27a ) @ V5xs ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EAPPEND__FRONT__LAST,axiom,
% 5.55/5.76 ! [A_27a: del,V0l: $i] :
% 5.55/5.76 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( V0l
% 5.55/5.76 != ( c_2Elist_2ENIL @ A_27a ) )
% 5.55/5.76 => ( ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ ( ap @ ( c_2Elist_2EFRONT @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2ELAST @ A_27a ) @ V0l ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.76 = V0l ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ELAST__CONS__cond,axiom,
% 5.55/5.76 ! [A_27a: del,V0h: $i] :
% 5.55/5.76 ( ( mem @ V0h @ A_27a )
% 5.55/5.76 => ! [V1t: $i] :
% 5.55/5.76 ( ( mem @ V1t @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( ap @ ( c_2Elist_2ELAST @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V0h ) @ V1t ) )
% 5.55/5.76 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ A_27a ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Elist_2Elist @ A_27a ) ) @ V1t ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) @ V0h ) @ ( ap @ ( c_2Elist_2ELAST @ A_27a ) @ V1t ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ELAST__APPEND__CONS,axiom,
% 5.55/5.76 ! [A_27a: del,V0h: $i] :
% 5.55/5.76 ( ( mem @ V0h @ A_27a )
% 5.55/5.76 => ! [V1l1: $i] :
% 5.55/5.76 ( ( mem @ V1l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V2l2: $i] :
% 5.55/5.76 ( ( mem @ V2l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( ap @ ( c_2Elist_2ELAST @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V1l1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V0h ) @ V2l2 ) ) )
% 5.55/5.76 = ( ap @ ( c_2Elist_2ELAST @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V0h ) @ V2l2 ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(ax_thm_2Elist_2ETAKE__def,axiom,
% 5.55/5.76 ! [A_27a: del] :
% 5.55/5.76 ( ! [V0n: tp__ty_2Enum_2Enum] :
% 5.55/5.76 ( ( ap @ ( ap @ ( c_2Elist_2ETAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( c_2Elist_2ENIL @ A_27a ) )
% 5.55/5.76 = ( c_2Elist_2ENIL @ A_27a ) )
% 5.55/5.76 & ! [V1n: tp__ty_2Enum_2Enum,V2x: $i] :
% 5.55/5.76 ( ( mem @ V2x @ A_27a )
% 5.55/5.76 => ! [V3xs: $i] :
% 5.55/5.76 ( ( mem @ V3xs @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( ap @ ( ap @ ( c_2Elist_2ETAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2x ) @ V3xs ) )
% 5.55/5.76 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2x ) @ ( ap @ ( ap @ ( c_2Elist_2ETAKE @ A_27a ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ V3xs ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(ax_thm_2Elist_2EDROP__def,axiom,
% 5.55/5.76 ! [A_27a: del] :
% 5.55/5.76 ( ! [V0n: tp__ty_2Enum_2Enum] :
% 5.55/5.76 ( ( ap @ ( ap @ ( c_2Elist_2EDROP @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( c_2Elist_2ENIL @ A_27a ) )
% 5.55/5.76 = ( c_2Elist_2ENIL @ A_27a ) )
% 5.55/5.76 & ! [V1n: tp__ty_2Enum_2Enum,V2x: $i] :
% 5.55/5.76 ( ( mem @ V2x @ A_27a )
% 5.55/5.76 => ! [V3xs: $i] :
% 5.55/5.76 ( ( mem @ V3xs @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( ap @ ( ap @ ( c_2Elist_2EDROP @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2x ) @ V3xs ) )
% 5.55/5.76 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2x ) @ V3xs ) ) @ ( ap @ ( ap @ ( c_2Elist_2EDROP @ A_27a ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ V3xs ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ETAKE__nil,axiom,
% 5.55/5.76 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum] :
% 5.55/5.76 ( ( ap @ ( ap @ ( c_2Elist_2ETAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( c_2Elist_2ENIL @ A_27a ) )
% 5.55/5.76 = ( c_2Elist_2ENIL @ A_27a ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ETAKE__cons,axiom,
% 5.55/5.76 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1x: $i] :
% 5.55/5.76 ( ( mem @ V1x @ A_27a )
% 5.55/5.76 => ! [V2xs: $i] :
% 5.55/5.76 ( ( mem @ V2xs @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.55/5.76 => ( ( ap @ ( ap @ ( c_2Elist_2ETAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1x ) @ V2xs ) )
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1x ) @ ( ap @ ( ap @ ( c_2Elist_2ETAKE @ A_27a ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ V2xs ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EDROP__nil,axiom,
% 5.55/5.76 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum] :
% 5.55/5.76 ( ( ap @ ( ap @ ( c_2Elist_2EDROP @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( c_2Elist_2ENIL @ A_27a ) )
% 5.55/5.76 = ( c_2Elist_2ENIL @ A_27a ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EDROP__cons,axiom,
% 5.55/5.76 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1x: $i] :
% 5.55/5.76 ( ( mem @ V1x @ A_27a )
% 5.55/5.76 => ! [V2xs: $i] :
% 5.55/5.76 ( ( mem @ V2xs @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.55/5.76 => ( ( ap @ ( ap @ ( c_2Elist_2EDROP @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1x ) @ V2xs ) )
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2EDROP @ A_27a ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ V2xs ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ETAKE__0,axiom,
% 5.55/5.76 ! [A_27a: del,V0l: $i] :
% 5.55/5.76 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( ap @ ( ap @ ( c_2Elist_2ETAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ V0l )
% 5.55/5.76 = ( c_2Elist_2ENIL @ A_27a ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ETAKE__LENGTH__ID,axiom,
% 5.55/5.76 ! [A_27a: del,V0l: $i] :
% 5.55/5.76 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( ap @ ( ap @ ( c_2Elist_2ETAKE @ A_27a ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ V0l )
% 5.55/5.76 = V0l ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ELENGTH__TAKE,axiom,
% 5.55/5.76 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1l: $i] :
% 5.55/5.76 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l ) ) )
% 5.55/5.76 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ETAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1l ) ) )
% 5.55/5.76 = V0n ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EMAP__TAKE,axiom,
% 5.55/5.76 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.55/5.76 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.55/5.76 => ! [V1n: tp__ty_2Enum_2Enum,V2l: $i] :
% 5.55/5.76 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27a @ A_27b ) @ V0f ) @ ( ap @ ( ap @ ( c_2Elist_2ETAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ V2l ) )
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2ETAKE @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27a @ A_27b ) @ V0f ) @ V2l ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ETAKE__APPEND1,axiom,
% 5.55/5.76 ! [A_27a: del,V0l1: $i] :
% 5.55/5.76 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V1l2: $i] :
% 5.55/5.76 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V2n: tp__ty_2Enum_2Enum] :
% 5.55/5.76 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l1 ) ) )
% 5.55/5.76 => ( ( ap @ ( ap @ ( c_2Elist_2ETAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V0l1 ) @ V1l2 ) )
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2ETAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ V0l1 ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ETAKE__APPEND2,axiom,
% 5.55/5.76 ! [A_27a: del,V0l1: $i] :
% 5.55/5.76 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V1l2: $i] :
% 5.55/5.76 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V2n: tp__ty_2Enum_2Enum] :
% 5.55/5.76 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l1 ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) )
% 5.55/5.76 => ( ( ap @ ( ap @ ( c_2Elist_2ETAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V0l1 ) @ V1l2 ) )
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V0l1 ) @ ( ap @ ( ap @ ( c_2Elist_2ETAKE @ A_27a ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l1 ) ) ) @ V1l2 ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EDROP__0,axiom,
% 5.55/5.76 ! [A_27a: del,V0l: $i] :
% 5.55/5.76 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( ap @ ( ap @ ( c_2Elist_2EDROP @ A_27a ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ V0l )
% 5.55/5.76 = V0l ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ETAKE__DROP,axiom,
% 5.55/5.76 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1l: $i] :
% 5.55/5.76 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ETAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1l ) ) @ ( ap @ ( ap @ ( c_2Elist_2EDROP @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1l ) )
% 5.55/5.76 = V1l ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ELENGTH__DROP,axiom,
% 5.55/5.76 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1l: $i] :
% 5.55/5.76 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EDROP @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1l ) ) )
% 5.55/5.76 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EMEM__DROP,axiom,
% 5.55/5.76 ! [A_27a: del,V0x: $i] :
% 5.55/5.76 ( ( mem @ V0x @ A_27a )
% 5.55/5.76 => ! [V1ls: $i] :
% 5.55/5.76 ( ( mem @ V1ls @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V2n: tp__ty_2Enum_2Enum] :
% 5.55/5.76 ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EDROP @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ V1ls ) ) ) )
% 5.55/5.76 <=> ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1ls ) ) )
% 5.55/5.76 & ( V0x
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ V1ls ) ) )
% 5.55/5.76 | ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EDROP @ A_27a ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) @ V1ls ) ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EDROP__NIL,axiom,
% 5.55/5.76 ! [A_27a: del,V0ls: $i] :
% 5.55/5.76 ( ( mem @ V0ls @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V1n: tp__ty_2Enum_2Enum] :
% 5.55/5.76 ( ( ( ap @ ( ap @ ( c_2Elist_2EDROP @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ V0ls )
% 5.55/5.76 = ( c_2Elist_2ENIL @ A_27a ) )
% 5.55/5.76 <=> ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0ls ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EFOLDL2__ind,axiom,
% 5.55/5.76 ! [A_27a: del,A_27b: del,A_27c: del,V0P: $i] :
% 5.55/5.76 ( ( mem @ V0P @ ( arr @ ( arr @ A_27a @ ( arr @ A_27b @ ( arr @ A_27c @ A_27a ) ) ) @ ( arr @ A_27a @ ( arr @ ( ty_2Elist_2Elist @ A_27b ) @ ( arr @ ( ty_2Elist_2Elist @ A_27c ) @ bool ) ) ) ) )
% 5.55/5.76 => ( ( ! [V1f: $i] :
% 5.55/5.76 ( ( mem @ V1f @ ( arr @ A_27a @ ( arr @ A_27b @ ( arr @ A_27c @ A_27a ) ) ) )
% 5.55/5.76 => ! [V2a: $i] :
% 5.55/5.76 ( ( mem @ V2a @ A_27a )
% 5.55/5.76 => ! [V3b: $i] :
% 5.55/5.76 ( ( mem @ V3b @ A_27b )
% 5.55/5.76 => ! [V4bs: $i] :
% 5.55/5.76 ( ( mem @ V4bs @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.76 => ! [V5c: $i] :
% 5.55/5.76 ( ( mem @ V5c @ A_27c )
% 5.55/5.76 => ! [V6cs: $i] :
% 5.55/5.76 ( ( mem @ V6cs @ ( ty_2Elist_2Elist @ A_27c ) )
% 5.55/5.76 => ( ( p @ ( ap @ ( ap @ ( ap @ ( ap @ V0P @ V1f ) @ ( ap @ ( ap @ ( ap @ V1f @ V2a ) @ V3b ) @ V5c ) ) @ V4bs ) @ V6cs ) )
% 5.55/5.76 => ( p @ ( ap @ ( ap @ ( ap @ ( ap @ V0P @ V1f ) @ V2a ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27b ) @ V3b ) @ V4bs ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27c ) @ V5c ) @ V6cs ) ) ) ) ) ) ) ) ) )
% 5.55/5.76 & ! [V7f: $i] :
% 5.55/5.76 ( ( mem @ V7f @ ( arr @ A_27a @ ( arr @ A_27b @ ( arr @ A_27c @ A_27a ) ) ) )
% 5.55/5.76 => ! [V8a: $i] :
% 5.55/5.76 ( ( mem @ V8a @ A_27a )
% 5.55/5.76 => ! [V9cs: $i] :
% 5.55/5.76 ( ( mem @ V9cs @ ( ty_2Elist_2Elist @ A_27c ) )
% 5.55/5.76 => ( p @ ( ap @ ( ap @ ( ap @ ( ap @ V0P @ V7f ) @ V8a ) @ ( c_2Elist_2ENIL @ A_27b ) ) @ V9cs ) ) ) ) )
% 5.55/5.76 & ! [V10f: $i] :
% 5.55/5.76 ( ( mem @ V10f @ ( arr @ A_27a @ ( arr @ A_27b @ ( arr @ A_27c @ A_27a ) ) ) )
% 5.55/5.76 => ! [V11a: $i] :
% 5.55/5.76 ( ( mem @ V11a @ A_27a )
% 5.55/5.76 => ! [V12v6: $i] :
% 5.55/5.76 ( ( mem @ V12v6 @ A_27b )
% 5.55/5.76 => ! [V13v7: $i] :
% 5.55/5.76 ( ( mem @ V13v7 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.76 => ( p @ ( ap @ ( ap @ ( ap @ ( ap @ V0P @ V10f ) @ V11a ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27b ) @ V12v6 ) @ V13v7 ) ) @ ( c_2Elist_2ENIL @ A_27c ) ) ) ) ) ) ) )
% 5.55/5.76 => ! [V14v: $i] :
% 5.55/5.76 ( ( mem @ V14v @ ( arr @ A_27a @ ( arr @ A_27b @ ( arr @ A_27c @ A_27a ) ) ) )
% 5.55/5.76 => ! [V15v1: $i] :
% 5.55/5.76 ( ( mem @ V15v1 @ A_27a )
% 5.55/5.76 => ! [V16v2: $i] :
% 5.55/5.76 ( ( mem @ V16v2 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.76 => ! [V17v3: $i] :
% 5.55/5.76 ( ( mem @ V17v3 @ ( ty_2Elist_2Elist @ A_27c ) )
% 5.55/5.76 => ( p @ ( ap @ ( ap @ ( ap @ ( ap @ V0P @ V14v ) @ V15v1 ) @ V16v2 ) @ V17v3 ) ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EFOLDL2__def,axiom,
% 5.55/5.76 ! [A_27a: del,A_27b: del,A_27c: del] :
% 5.55/5.76 ( ! [V0f: $i] :
% 5.55/5.76 ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27b @ ( arr @ A_27c @ A_27a ) ) ) )
% 5.55/5.76 => ! [V1cs: $i] :
% 5.55/5.76 ( ( mem @ V1cs @ ( ty_2Elist_2Elist @ A_27c ) )
% 5.55/5.76 => ! [V2c: $i] :
% 5.55/5.76 ( ( mem @ V2c @ A_27c )
% 5.55/5.76 => ! [V3bs: $i] :
% 5.55/5.76 ( ( mem @ V3bs @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.76 => ! [V4b: $i] :
% 5.55/5.76 ( ( mem @ V4b @ A_27b )
% 5.55/5.76 => ! [V5a: $i] :
% 5.55/5.76 ( ( mem @ V5a @ A_27a )
% 5.55/5.76 => ( ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDL2 @ A_27a @ A_27b @ A_27c ) @ V0f ) @ V5a ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27b ) @ V4b ) @ V3bs ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27c ) @ V2c ) @ V1cs ) )
% 5.55/5.76 = ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDL2 @ A_27a @ A_27b @ A_27c ) @ V0f ) @ ( ap @ ( ap @ ( ap @ V0f @ V5a ) @ V4b ) @ V2c ) ) @ V3bs ) @ V1cs ) ) ) ) ) ) ) )
% 5.55/5.76 & ! [V6f: $i] :
% 5.55/5.76 ( ( mem @ V6f @ ( arr @ A_27a @ ( arr @ A_27b @ ( arr @ A_27c @ A_27a ) ) ) )
% 5.55/5.76 => ! [V7cs: $i] :
% 5.55/5.76 ( ( mem @ V7cs @ ( ty_2Elist_2Elist @ A_27c ) )
% 5.55/5.76 => ! [V8a: $i] :
% 5.55/5.76 ( ( mem @ V8a @ A_27a )
% 5.55/5.76 => ( ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDL2 @ A_27a @ A_27b @ A_27c ) @ V6f ) @ V8a ) @ ( c_2Elist_2ENIL @ A_27b ) ) @ V7cs )
% 5.55/5.76 = V8a ) ) ) )
% 5.55/5.76 & ! [V9v7: $i] :
% 5.55/5.76 ( ( mem @ V9v7 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.76 => ! [V10v6: $i] :
% 5.55/5.76 ( ( mem @ V10v6 @ A_27b )
% 5.55/5.76 => ! [V11f: $i] :
% 5.55/5.76 ( ( mem @ V11f @ ( arr @ A_27a @ ( arr @ A_27b @ ( arr @ A_27c @ A_27a ) ) ) )
% 5.55/5.76 => ! [V12a: $i] :
% 5.55/5.76 ( ( mem @ V12a @ A_27a )
% 5.55/5.76 => ( ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDL2 @ A_27a @ A_27b @ A_27c ) @ V11f ) @ V12a ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27b ) @ V10v6 ) @ V9v7 ) ) @ ( c_2Elist_2ENIL @ A_27c ) )
% 5.55/5.76 = V12a ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EFOLDL2__cong,axiom,
% 5.55/5.76 ! [A_27a: del,A_27b: del,A_27c: del,V0l1: $i] :
% 5.55/5.76 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V1l1_27: $i] :
% 5.55/5.76 ( ( mem @ V1l1_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V2l2: $i] :
% 5.55/5.76 ( ( mem @ V2l2 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.76 => ! [V3l2_27: $i] :
% 5.55/5.76 ( ( mem @ V3l2_27 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.76 => ! [V4a: $i] :
% 5.55/5.76 ( ( mem @ V4a @ A_27c )
% 5.55/5.76 => ! [V5a_27: $i] :
% 5.55/5.76 ( ( mem @ V5a_27 @ A_27c )
% 5.55/5.76 => ! [V6f: $i] :
% 5.55/5.76 ( ( mem @ V6f @ ( arr @ A_27c @ ( arr @ A_27a @ ( arr @ A_27b @ A_27c ) ) ) )
% 5.55/5.76 => ! [V7f_27: $i] :
% 5.55/5.76 ( ( mem @ V7f_27 @ ( arr @ A_27c @ ( arr @ A_27a @ ( arr @ A_27b @ A_27c ) ) ) )
% 5.55/5.76 => ( ( ( V0l1 = V1l1_27 )
% 5.55/5.76 & ( V2l2 = V3l2_27 )
% 5.55/5.76 & ( V4a = V5a_27 )
% 5.55/5.76 & ! [V8z: $i] :
% 5.55/5.76 ( ( mem @ V8z @ A_27c )
% 5.55/5.76 => ! [V9b: $i] :
% 5.55/5.76 ( ( mem @ V9b @ A_27a )
% 5.55/5.76 => ! [V10c: $i] :
% 5.55/5.76 ( ( mem @ V10c @ A_27b )
% 5.55/5.76 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V9b ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V1l1_27 ) ) )
% 5.55/5.76 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ V10c ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27b ) @ V3l2_27 ) ) ) )
% 5.55/5.76 => ( ( ap @ ( ap @ ( ap @ V6f @ V8z ) @ V9b ) @ V10c )
% 5.55/5.76 = ( ap @ ( ap @ ( ap @ V7f_27 @ V8z ) @ V9b ) @ V10c ) ) ) ) ) ) )
% 5.55/5.76 => ( ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDL2 @ A_27c @ A_27a @ A_27b ) @ V6f ) @ V4a ) @ V0l1 ) @ V2l2 )
% 5.55/5.76 = ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDL2 @ A_27c @ A_27a @ A_27b ) @ V7f_27 ) @ V5a_27 ) @ V1l1_27 ) @ V3l2_27 ) ) ) ) ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EFOLDL2__FOLDL,axiom,
% 5.55/5.76 ! [A_27a: del,A_27b: del,A_27c: del,V0l1: $i] :
% 5.55/5.76 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V1l2: $i] :
% 5.55/5.76 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.76 => ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l1 ) )
% 5.55/5.76 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27b ) @ V1l2 ) ) )
% 5.55/5.76 => ! [V2f: $i] :
% 5.55/5.76 ( ( mem @ V2f @ ( arr @ A_27c @ ( arr @ A_27a @ ( arr @ A_27b @ A_27c ) ) ) )
% 5.55/5.76 => ! [V3a: $i] :
% 5.55/5.76 ( ( mem @ V3a @ A_27c )
% 5.55/5.76 => ( ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDL2 @ A_27c @ A_27a @ A_27b ) @ V2f ) @ V3a ) @ V0l1 ) @ V1l2 )
% 5.55/5.76 = ( ap
% 5.55/5.76 @ ( ap
% 5.55/5.76 @ ( ap @ ( c_2Elist_2EFOLDL @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ A_27c )
% 5.55/5.76 @ ( lam @ A_27c
% 5.55/5.76 @ ^ [V4a: $i] : ( ap @ ( c_2Epair_2EUNCURRY @ A_27a @ A_27b @ A_27c ) @ ( ap @ V2f @ V4a ) ) ) )
% 5.55/5.76 @ V3a )
% 5.55/5.76 @ ( ap @ ( c_2Elist_2EZIP @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27b ) ) @ V0l1 ) @ V1l2 ) ) ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EEVERY2__cong,axiom,
% 5.55/5.76 ! [A_27a: del,A_27b: del,V0l1: $i] :
% 5.55/5.76 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V1l1_27: $i] :
% 5.55/5.76 ( ( mem @ V1l1_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V2l2: $i] :
% 5.55/5.76 ( ( mem @ V2l2 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.76 => ! [V3l2_27: $i] :
% 5.55/5.76 ( ( mem @ V3l2_27 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.76 => ! [V4P: $i] :
% 5.55/5.76 ( ( mem @ V4P @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.55/5.76 => ! [V5P_27: $i] :
% 5.55/5.76 ( ( mem @ V5P_27 @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.55/5.76 => ( ( ( V0l1 = V1l1_27 )
% 5.55/5.76 & ( V2l2 = V3l2_27 )
% 5.55/5.76 & ! [V6x: $i] :
% 5.55/5.76 ( ( mem @ V6x @ A_27a )
% 5.55/5.76 => ! [V7y: $i] :
% 5.55/5.76 ( ( mem @ V7y @ A_27b )
% 5.55/5.76 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V6x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V1l1_27 ) ) )
% 5.55/5.76 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ V7y ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27b ) @ V3l2_27 ) ) ) )
% 5.55/5.76 => ( ( p @ ( ap @ ( ap @ V4P @ V6x ) @ V7y ) )
% 5.55/5.76 <=> ( p @ ( ap @ ( ap @ V5P_27 @ V6x ) @ V7y ) ) ) ) ) ) )
% 5.55/5.76 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27a @ A_27b ) @ V4P ) @ V0l1 ) @ V2l2 ) )
% 5.55/5.76 <=> ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27a @ A_27b ) @ V5P_27 ) @ V1l1_27 ) @ V3l2_27 ) ) ) ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EMAP__EQ__EVERY2,axiom,
% 5.55/5.76 ! [A_27a: del,A_27b: del,A_27c: del,V0f1: $i] :
% 5.55/5.76 ( ( mem @ V0f1 @ ( arr @ A_27a @ A_27b ) )
% 5.55/5.76 => ! [V1f2: $i] :
% 5.55/5.76 ( ( mem @ V1f2 @ ( arr @ A_27c @ A_27b ) )
% 5.55/5.76 => ! [V2l1: $i] :
% 5.55/5.76 ( ( mem @ V2l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V3l2: $i] :
% 5.55/5.76 ( ( mem @ V3l2 @ ( ty_2Elist_2Elist @ A_27c ) )
% 5.55/5.76 => ( ( ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27a @ A_27b ) @ V0f1 ) @ V2l1 )
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27c @ A_27b ) @ V1f2 ) @ V3l2 ) )
% 5.55/5.76 <=> ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2l1 ) )
% 5.55/5.76 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27c ) @ V3l2 ) ) )
% 5.55/5.76 & ( p
% 5.55/5.76 @ ( ap
% 5.55/5.76 @ ( ap
% 5.55/5.76 @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27a @ A_27c )
% 5.55/5.76 @ ( lam @ A_27a
% 5.55/5.76 @ ^ [V4x: $i] :
% 5.55/5.76 ( lam @ A_27c
% 5.55/5.76 @ ^ [V5y: $i] : ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27b ) @ ( ap @ V0f1 @ V4x ) ) @ ( ap @ V1f2 @ V5y ) ) ) ) )
% 5.55/5.76 @ V2l1 )
% 5.55/5.76 @ V3l2 ) ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EEVERY2__EVERY,axiom,
% 5.55/5.76 ! [A_27a: del,A_27b: del,V0l1: $i] :
% 5.55/5.76 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V1l2: $i] :
% 5.55/5.76 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.76 => ! [V2f: $i] :
% 5.55/5.76 ( ( mem @ V2f @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.55/5.76 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27a @ A_27b ) @ V2f ) @ V0l1 ) @ V1l2 ) )
% 5.55/5.76 <=> ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l1 ) )
% 5.55/5.76 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27b ) @ V1l2 ) ) )
% 5.55/5.76 & ( p @ ( ap @ ( ap @ ( c_2Elist_2EEVERY @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( ap @ ( c_2Epair_2EUNCURRY @ A_27a @ A_27b @ bool ) @ V2f ) ) @ ( ap @ ( c_2Elist_2EZIP @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27b ) ) @ V0l1 ) @ V1l2 ) ) ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EEVERY2__LENGTH,axiom,
% 5.55/5.76 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.55/5.76 ( ( mem @ V0P @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.55/5.76 => ! [V1l1: $i] :
% 5.55/5.76 ( ( mem @ V1l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V2l2: $i] :
% 5.55/5.76 ( ( mem @ V2l2 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.76 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27a @ A_27b ) @ V0P ) @ V1l1 ) @ V2l2 ) )
% 5.55/5.76 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l1 ) )
% 5.55/5.76 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27b ) @ V2l2 ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EEVERY2__mono,axiom,
% 5.55/5.76 ! [A_27a: del,A_27b: del,V0R1: $i] :
% 5.55/5.76 ( ( mem @ V0R1 @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.55/5.76 => ! [V1R2: $i] :
% 5.55/5.76 ( ( mem @ V1R2 @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.55/5.76 => ! [V2l1: $i] :
% 5.55/5.76 ( ( mem @ V2l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V3l2: $i] :
% 5.55/5.76 ( ( mem @ V3l2 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.76 => ( ! [V4x: $i] :
% 5.55/5.76 ( ( mem @ V4x @ A_27a )
% 5.55/5.76 => ! [V5y: $i] :
% 5.55/5.76 ( ( mem @ V5y @ A_27b )
% 5.55/5.76 => ( ( p @ ( ap @ ( ap @ V0R1 @ V4x ) @ V5y ) )
% 5.55/5.76 => ( p @ ( ap @ ( ap @ V1R2 @ V4x ) @ V5y ) ) ) ) )
% 5.55/5.76 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27a @ A_27b ) @ V0R1 ) @ V2l1 ) @ V3l2 ) )
% 5.55/5.76 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27a @ A_27b ) @ V1R2 ) @ V2l1 ) @ V3l2 ) ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(ax_thm_2Elist_2EALL__DISTINCT,axiom,
% 5.55/5.76 ! [A_27a: del] :
% 5.55/5.76 ( ( ( p @ ( ap @ ( c_2Elist_2EALL__DISTINCT @ A_27a ) @ ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.76 <=> $true )
% 5.55/5.76 & ! [V0h: $i] :
% 5.55/5.76 ( ( mem @ V0h @ A_27a )
% 5.55/5.76 => ! [V1t: $i] :
% 5.55/5.76 ( ( mem @ V1t @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( p @ ( ap @ ( c_2Elist_2EALL__DISTINCT @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V0h ) @ V1t ) ) )
% 5.55/5.76 <=> ( ~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0h ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V1t ) ) )
% 5.55/5.76 & ( p @ ( ap @ ( c_2Elist_2EALL__DISTINCT @ A_27a ) @ V1t ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EALL__DISTINCT__FILTER,axiom,
% 5.55/5.76 ! [A_27a: del,V0l: $i] :
% 5.55/5.76 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( p @ ( ap @ ( c_2Elist_2EALL__DISTINCT @ A_27a ) @ V0l ) )
% 5.55/5.76 <=> ! [V1x: $i] :
% 5.55/5.76 ( ( mem @ V1x @ A_27a )
% 5.55/5.76 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V1x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V0l ) ) )
% 5.55/5.76 => ( ( ap @ ( ap @ ( c_2Elist_2EFILTER @ A_27a ) @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V1x ) ) @ V0l )
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1x ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EFILTER__ALL__DISTINCT,axiom,
% 5.55/5.76 ! [A_27a: del,V0P: $i] :
% 5.55/5.76 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.76 => ! [V1l: $i] :
% 5.55/5.76 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( p @ ( ap @ ( c_2Elist_2EALL__DISTINCT @ A_27a ) @ V1l ) )
% 5.55/5.76 => ( p @ ( ap @ ( c_2Elist_2EALL__DISTINCT @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EFILTER @ A_27a ) @ V0P ) @ V1l ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EALL__DISTINCT__MAP,axiom,
% 5.55/5.76 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.55/5.76 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.55/5.76 => ! [V1ls: $i] :
% 5.55/5.76 ( ( mem @ V1ls @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( p @ ( ap @ ( c_2Elist_2EALL__DISTINCT @ A_27b ) @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27a @ A_27b ) @ V0f ) @ V1ls ) ) )
% 5.55/5.76 => ( p @ ( ap @ ( c_2Elist_2EALL__DISTINCT @ A_27a ) @ V1ls ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EEL__ALL__DISTINCT__EL__EQ,axiom,
% 5.55/5.76 ! [A_27a: del,V0l: $i] :
% 5.55/5.76 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( p @ ( ap @ ( c_2Elist_2EALL__DISTINCT @ A_27a ) @ V0l ) )
% 5.55/5.76 <=> ! [V1n1: tp__ty_2Enum_2Enum,V2n2: tp__ty_2Enum_2Enum] :
% 5.55/5.76 ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1n1 ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.76 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V2n2 ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) ) )
% 5.55/5.76 => ( ( ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1n1 ) ) @ V0l )
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V2n2 ) ) @ V0l ) )
% 5.55/5.76 <=> ( V1n1 = V2n2 ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EALL__DISTINCT__EL__IMP,axiom,
% 5.55/5.76 ! [A_27a: del,V0l: $i] :
% 5.55/5.76 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V1n1: tp__ty_2Enum_2Enum,V2n2: tp__ty_2Enum_2Enum] :
% 5.55/5.76 ( ( ( p @ ( ap @ ( c_2Elist_2EALL__DISTINCT @ A_27a ) @ V0l ) )
% 5.55/5.76 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1n1 ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.76 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V2n2 ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) ) )
% 5.55/5.76 => ( ( ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1n1 ) ) @ V0l )
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V2n2 ) ) @ V0l ) )
% 5.55/5.76 <=> ( V1n1 = V2n2 ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EALL__DISTINCT__APPEND,axiom,
% 5.55/5.76 ! [A_27a: del,V0l1: $i] :
% 5.55/5.76 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V1l2: $i] :
% 5.55/5.76 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( p @ ( ap @ ( c_2Elist_2EALL__DISTINCT @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V0l1 ) @ V1l2 ) ) )
% 5.55/5.76 <=> ( ( p @ ( ap @ ( c_2Elist_2EALL__DISTINCT @ A_27a ) @ V0l1 ) )
% 5.55/5.76 & ( p @ ( ap @ ( c_2Elist_2EALL__DISTINCT @ A_27a ) @ V1l2 ) )
% 5.55/5.76 & ! [V2e: $i] :
% 5.55/5.76 ( ( mem @ V2e @ A_27a )
% 5.55/5.76 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2e ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V0l1 ) ) )
% 5.55/5.76 => ~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2e ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V1l2 ) ) ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EALL__DISTINCT__SING,axiom,
% 5.55/5.76 ! [A_27a: del,V0x: $i] :
% 5.55/5.76 ( ( mem @ V0x @ A_27a )
% 5.55/5.76 => ( p @ ( ap @ ( c_2Elist_2EALL__DISTINCT @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V0x ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EALL__DISTINCT__ZIP,axiom,
% 5.55/5.76 ! [A_27a: del,A_27b: del,V0l1: $i] :
% 5.55/5.76 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V1l2: $i] :
% 5.55/5.76 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.76 => ( ( ( p @ ( ap @ ( c_2Elist_2EALL__DISTINCT @ A_27a ) @ V0l1 ) )
% 5.55/5.76 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l1 ) )
% 5.55/5.76 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27b ) @ V1l2 ) ) ) )
% 5.55/5.76 => ( p @ ( ap @ ( c_2Elist_2EALL__DISTINCT @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( ap @ ( c_2Elist_2EZIP @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27b ) ) @ V0l1 ) @ V1l2 ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EALL__DISTINCT__ZIP__SWAP,axiom,
% 5.55/5.76 ! [A_27a: del,A_27b: del,V0l1: $i] :
% 5.55/5.76 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V1l2: $i] :
% 5.55/5.76 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.76 => ( ( ( p @ ( ap @ ( c_2Elist_2EALL__DISTINCT @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( ap @ ( c_2Elist_2EZIP @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27b ) ) @ V0l1 ) @ V1l2 ) ) ) )
% 5.55/5.76 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l1 ) )
% 5.55/5.76 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27b ) @ V1l2 ) ) ) )
% 5.55/5.76 => ( p @ ( ap @ ( c_2Elist_2EALL__DISTINCT @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) @ ( ap @ ( c_2Elist_2EZIP @ A_27b @ A_27a ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27b ) @ ( ty_2Elist_2Elist @ A_27a ) ) @ V1l2 ) @ V0l1 ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EALL__DISTINCT__REVERSE,axiom,
% 5.55/5.76 ! [A_27a: del,V0l: $i] :
% 5.55/5.76 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( p @ ( ap @ ( c_2Elist_2EALL__DISTINCT @ A_27a ) @ ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ V0l ) ) )
% 5.55/5.76 <=> ( p @ ( ap @ ( c_2Elist_2EALL__DISTINCT @ A_27a ) @ V0l ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EALL__DISTINCT__FLAT__REVERSE,axiom,
% 5.55/5.76 ! [A_27a: del,V0xs: $i] :
% 5.55/5.76 ( ( mem @ V0xs @ ( ty_2Elist_2Elist @ ( ty_2Elist_2Elist @ A_27a ) ) )
% 5.55/5.76 => ( ( p @ ( ap @ ( c_2Elist_2EALL__DISTINCT @ A_27a ) @ ( ap @ ( c_2Elist_2EFLAT @ A_27a ) @ ( ap @ ( c_2Elist_2EREVERSE @ ( ty_2Elist_2Elist @ A_27a ) ) @ V0xs ) ) ) )
% 5.55/5.76 <=> ( p @ ( ap @ ( c_2Elist_2EALL__DISTINCT @ A_27a ) @ ( ap @ ( c_2Elist_2EFLAT @ A_27a ) @ V0xs ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(ax_thm_2Elist_2ELRC__def,axiom,
% 5.55/5.76 ! [A_27a: del] :
% 5.55/5.76 ( ! [V0R: $i] :
% 5.55/5.76 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.55/5.76 => ! [V1x: $i] :
% 5.55/5.76 ( ( mem @ V1x @ A_27a )
% 5.55/5.76 => ! [V2y: $i] :
% 5.55/5.76 ( ( mem @ V2y @ A_27a )
% 5.55/5.76 => ( ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELRC @ A_27a ) @ V0R ) @ ( c_2Elist_2ENIL @ A_27a ) ) @ V1x ) @ V2y ) )
% 5.55/5.76 <=> ( V1x = V2y ) ) ) ) )
% 5.55/5.76 & ! [V3R: $i] :
% 5.55/5.76 ( ( mem @ V3R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.55/5.76 => ! [V4h: $i] :
% 5.55/5.76 ( ( mem @ V4h @ A_27a )
% 5.55/5.76 => ! [V5t: $i] :
% 5.55/5.76 ( ( mem @ V5t @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V6x: $i] :
% 5.55/5.76 ( ( mem @ V6x @ A_27a )
% 5.55/5.76 => ! [V7y: $i] :
% 5.55/5.76 ( ( mem @ V7y @ A_27a )
% 5.55/5.76 => ( ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELRC @ A_27a ) @ V3R ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4h ) @ V5t ) ) @ V6x ) @ V7y ) )
% 5.55/5.76 <=> ( ( V6x = V4h )
% 5.55/5.76 & ? [V8z: $i] :
% 5.55/5.76 ( ( mem @ V8z @ A_27a )
% 5.55/5.76 & ( p @ ( ap @ ( ap @ V3R @ V6x ) @ V8z ) )
% 5.55/5.76 & ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELRC @ A_27a ) @ V3R ) @ V5t ) @ V8z ) @ V7y ) ) ) ) ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ENRC__LRC,axiom,
% 5.55/5.76 ! [A_27a: del,V0R: $i] :
% 5.55/5.76 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.55/5.76 => ! [V1n: tp__ty_2Enum_2Enum,V2x: $i] :
% 5.55/5.76 ( ( mem @ V2x @ A_27a )
% 5.55/5.76 => ! [V3y: $i] :
% 5.55/5.76 ( ( mem @ V3y @ A_27a )
% 5.55/5.76 => ( ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Earithmetic_2ENRC @ A_27a ) @ V0R ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ V2x ) @ V3y ) )
% 5.55/5.76 <=> ? [V4ls: $i] :
% 5.55/5.76 ( ( mem @ V4ls @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 & ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELRC @ A_27a ) @ V0R ) @ V4ls ) @ V2x ) @ V3y ) )
% 5.55/5.76 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4ls ) )
% 5.55/5.76 = V1n ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ELRC__MEM,axiom,
% 5.55/5.76 ! [A_27a: del,V0R: $i] :
% 5.55/5.76 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.55/5.76 => ! [V1ls: $i] :
% 5.55/5.76 ( ( mem @ V1ls @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V2x: $i] :
% 5.55/5.76 ( ( mem @ V2x @ A_27a )
% 5.55/5.76 => ! [V3y: $i] :
% 5.55/5.76 ( ( mem @ V3y @ A_27a )
% 5.55/5.76 => ! [V4e: $i] :
% 5.55/5.76 ( ( mem @ V4e @ A_27a )
% 5.55/5.76 => ( ( ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELRC @ A_27a ) @ V0R ) @ V1ls ) @ V2x ) @ V3y ) )
% 5.55/5.76 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V4e ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V1ls ) ) ) )
% 5.55/5.76 => ? [V5z: $i] :
% 5.55/5.76 ( ( mem @ V5z @ A_27a )
% 5.55/5.76 & ? [V6t: $i] :
% 5.55/5.76 ( ( mem @ V6t @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 & ( p @ ( ap @ ( ap @ V0R @ V4e ) @ V5z ) )
% 5.55/5.76 & ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELRC @ A_27a ) @ V0R ) @ V6t ) @ V5z ) @ V3y ) ) ) ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ELRC__MEM__right,axiom,
% 5.55/5.76 ! [A_27a: del,V0R: $i] :
% 5.55/5.76 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.55/5.76 => ! [V1h: $i] :
% 5.55/5.76 ( ( mem @ V1h @ A_27a )
% 5.55/5.76 => ! [V2t: $i] :
% 5.55/5.76 ( ( mem @ V2t @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V3x: $i] :
% 5.55/5.76 ( ( mem @ V3x @ A_27a )
% 5.55/5.76 => ! [V4y: $i] :
% 5.55/5.76 ( ( mem @ V4y @ A_27a )
% 5.55/5.76 => ! [V5e: $i] :
% 5.55/5.76 ( ( mem @ V5e @ A_27a )
% 5.55/5.76 => ( ( ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELRC @ A_27a ) @ V0R ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1h ) @ V2t ) ) @ V3x ) @ V4y ) )
% 5.55/5.76 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V5e ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V2t ) ) ) )
% 5.55/5.76 => ? [V6z: $i] :
% 5.55/5.76 ( ( mem @ V6z @ A_27a )
% 5.55/5.76 & ? [V7p: $i] :
% 5.55/5.76 ( ( mem @ V7p @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 & ( p @ ( ap @ ( ap @ V0R @ V6z ) @ V5e ) )
% 5.55/5.76 & ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELRC @ A_27a ) @ V0R ) @ V7p ) @ V3x ) @ V6z ) ) ) ) ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ELIST__TO__SET__APPEND,axiom,
% 5.55/5.76 ! [A_27a: del,V0l1: $i] :
% 5.55/5.76 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V1l2: $i] :
% 5.55/5.76 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V0l1 ) @ V1l2 ) )
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V0l1 ) ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V1l2 ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EUNION__APPEND,axiom,
% 5.55/5.76 ! [A_27a: del,V0l1: $i] :
% 5.55/5.76 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V1l2: $i] :
% 5.55/5.76 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V0l1 ) ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V1l2 ) )
% 5.55/5.76 = ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V0l1 ) @ V1l2 ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ELIST__TO__SET__EQ__EMPTY,axiom,
% 5.55/5.76 ! [A_27a: del,V0l: $i] :
% 5.55/5.76 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( ( ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V0l )
% 5.55/5.76 = ( c_2Epred__set_2EEMPTY @ A_27a ) )
% 5.55/5.76 <=> ( V0l
% 5.55/5.76 = ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.76 & ( ( ( c_2Epred__set_2EEMPTY @ A_27a )
% 5.55/5.76 = ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V0l ) )
% 5.55/5.76 <=> ( V0l
% 5.55/5.76 = ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EFINITE__LIST__TO__SET,axiom,
% 5.55/5.76 ! [A_27a: del,V0l: $i] :
% 5.55/5.76 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V0l ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ESUM__IMAGE__LIST__TO__SET__upper__bound,axiom,
% 5.55/5.76 ! [A_27a: del,V0f: $i] :
% 5.55/5.76 ( ( mem @ V0f @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.55/5.76 => ! [V1ls: $i] :
% 5.55/5.76 ( ( mem @ V1ls @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ ( c_2Epred__set_2ESUM__IMAGE @ A_27a ) @ V0f ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V1ls ) ) ) @ ( ap @ c_2Elist_2ESUM @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27a @ ty_2Enum_2Enum ) @ V0f ) @ V1ls ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ESUM__MAP__MEM__bound,axiom,
% 5.55/5.76 ! [A_27a: del,V0f: $i] :
% 5.55/5.76 ( ( mem @ V0f @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.55/5.76 => ! [V1x: $i] :
% 5.55/5.76 ( ( mem @ V1x @ A_27a )
% 5.55/5.76 => ! [V2ls: $i] :
% 5.55/5.76 ( ( mem @ V2ls @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V1x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V2ls ) ) )
% 5.55/5.76 => ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ V0f @ V1x ) ) @ ( ap @ c_2Elist_2ESUM @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27a @ ty_2Enum_2Enum ) @ V0f ) @ V2ls ) ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EINJ__MAP__EQ,axiom,
% 5.55/5.76 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.55/5.76 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.55/5.76 => ! [V1l1: $i] :
% 5.55/5.76 ( ( mem @ V1l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V2l2: $i] :
% 5.55/5.76 ( ( mem @ V2l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EINJ @ A_27a @ A_27b ) @ V0f ) @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V1l1 ) ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V2l2 ) ) ) @ ( c_2Epred__set_2EUNIV @ A_27b ) ) )
% 5.55/5.76 & ( ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27a @ A_27b ) @ V0f ) @ V1l1 )
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27a @ A_27b ) @ V0f ) @ V2l2 ) ) )
% 5.55/5.76 => ( V1l1 = V2l2 ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EINJ__MAP__EQ__IFF,axiom,
% 5.55/5.76 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.55/5.76 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.55/5.76 => ! [V1l1: $i] :
% 5.55/5.76 ( ( mem @ V1l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V2l2: $i] :
% 5.55/5.76 ( ( mem @ V2l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EINJ @ A_27a @ A_27b ) @ V0f ) @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V1l1 ) ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V2l2 ) ) ) @ ( c_2Epred__set_2EUNIV @ A_27b ) ) )
% 5.55/5.76 => ( ( ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27a @ A_27b ) @ V0f ) @ V1l1 )
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27a @ A_27b ) @ V0f ) @ V2l2 ) )
% 5.55/5.76 <=> ( V1l1 = V2l2 ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ECARD__LIST__TO__SET,axiom,
% 5.55/5.76 ! [A_27a: del,V0ls: $i] :
% 5.55/5.76 ( ( mem @ V0ls @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V0ls ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0ls ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EALL__DISTINCT__CARD__LIST__TO__SET,axiom,
% 5.55/5.76 ! [A_27a: del,V0ls: $i] :
% 5.55/5.76 ( ( mem @ V0ls @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( p @ ( ap @ ( c_2Elist_2EALL__DISTINCT @ A_27a ) @ V0ls ) )
% 5.55/5.76 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V0ls ) ) )
% 5.55/5.76 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0ls ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ECARD__LIST__TO__SET__ALL__DISTINCT,axiom,
% 5.55/5.76 ! [A_27a: del,V0ls: $i] :
% 5.55/5.76 ( ( mem @ V0ls @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V0ls ) ) )
% 5.55/5.76 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0ls ) ) )
% 5.55/5.76 => ( p @ ( ap @ ( c_2Elist_2EALL__DISTINCT @ A_27a ) @ V0ls ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ELIST__TO__SET__REVERSE,axiom,
% 5.55/5.76 ! [A_27a: del,V0ls: $i] :
% 5.55/5.76 ( ( mem @ V0ls @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ V0ls ) )
% 5.55/5.76 = ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V0ls ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ELIST__TO__SET__THM,axiom,
% 5.55/5.76 ! [A_27a: del,A_27b: del,V0h: $i] :
% 5.55/5.76 ( ( mem @ V0h @ A_27b )
% 5.55/5.76 => ! [V1t: $i] :
% 5.55/5.76 ( ( mem @ V1t @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.76 => ( ( ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ ( c_2Elist_2ENIL @ A_27a ) )
% 5.55/5.76 = ( c_2Epred__set_2EEMPTY @ A_27a ) )
% 5.55/5.76 & ( ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27b ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27b ) @ V0h ) @ V1t ) )
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27b ) @ V0h ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27b ) @ V1t ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ELIST__TO__SET__MAP,axiom,
% 5.55/5.76 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.55/5.76 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.55/5.76 => ! [V1l: $i] :
% 5.55/5.76 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27b ) @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27a @ A_27b ) @ V0f ) @ V1l ) )
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ A_27b ) @ V0f ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V1l ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ELIST__TO__SET__FILTER,axiom,
% 5.55/5.76 ! [A_27a: del,V0P: $i] :
% 5.55/5.76 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.76 => ! [V1l: $i] :
% 5.55/5.76 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EFILTER @ A_27a ) @ V0P ) @ V1l ) )
% 5.55/5.76 = ( ap
% 5.55/5.76 @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a )
% 5.55/5.76 @ ( ap @ ( c_2Epred__set_2EGSPEC @ A_27a @ A_27a )
% 5.55/5.76 @ ( lam @ A_27a
% 5.55/5.76 @ ^ [V2x: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ bool ) @ V2x ) @ ( ap @ V0P @ V2x ) ) ) ) )
% 5.55/5.76 @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V1l ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(ax_thm_2Elist_2ESET__TO__LIST__primitive__def,axiom,
% 5.55/5.76 ! [A_27a: del] :
% 5.55/5.76 ( ( c_2Elist_2ESET__TO__LIST @ A_27a )
% 5.55/5.76 = ( ap
% 5.55/5.76 @ ( ap @ ( c_2Erelation_2EWFREC @ ( arr @ A_27a @ bool ) @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 @ ( ap @ ( c_2Emin_2E_40 @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) ) )
% 5.55/5.76 @ ( lam @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) )
% 5.55/5.76 @ ^ [V0R: $i] :
% 5.55/5.76 ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( c_2Erelation_2EWF @ ( arr @ A_27a @ bool ) ) @ V0R ) )
% 5.55/5.76 @ ( ap @ ( c_2Ebool_2E_21 @ ( arr @ A_27a @ bool ) )
% 5.55/5.76 @ ( lam @ ( arr @ A_27a @ bool )
% 5.55/5.76 @ ^ [V1s: $i] : ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V1s ) ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( arr @ A_27a @ bool ) ) @ V1s ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) ) ) @ ( ap @ ( ap @ V0R @ ( ap @ ( c_2Epred__set_2EREST @ A_27a ) @ V1s ) ) @ V1s ) ) ) ) ) ) ) )
% 5.55/5.76 @ ( lam @ ( arr @ ( arr @ A_27a @ bool ) @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 @ ^ [V2SET__TO__LIST: $i] :
% 5.55/5.76 ( lam @ ( arr @ A_27a @ bool )
% 5.55/5.76 @ ^ [V3a: $i] : ( ap @ ( c_2Ecombin_2EI @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V3a ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( arr @ A_27a @ bool ) ) @ V3a ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Epred__set_2ECHOICE @ A_27a ) @ V3a ) ) @ ( ap @ V2SET__TO__LIST @ ( ap @ ( c_2Epred__set_2EREST @ A_27a ) @ V3a ) ) ) ) ) @ ( c_2Ebool_2EARB @ ( ty_2Elist_2Elist @ A_27a ) ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ESET__TO__LIST__THM,axiom,
% 5.55/5.76 ! [A_27a: del,V0s: $i] :
% 5.55/5.76 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.55/5.76 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.55/5.76 => ( ( ap @ ( c_2Elist_2ESET__TO__LIST @ A_27a ) @ V0s )
% 5.55/5.76 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( arr @ A_27a @ bool ) ) @ V0s ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Epred__set_2ECHOICE @ A_27a ) @ V0s ) ) @ ( ap @ ( c_2Elist_2ESET__TO__LIST @ A_27a ) @ ( ap @ ( c_2Epred__set_2EREST @ A_27a ) @ V0s ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ESET__TO__LIST__IND,axiom,
% 5.55/5.76 ! [A_27a: del,V0P: $i] :
% 5.55/5.76 ( ( mem @ V0P @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) )
% 5.55/5.76 => ( ! [V1s: $i] :
% 5.55/5.76 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.55/5.76 => ( ( ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V1s ) )
% 5.55/5.76 & ( V1s
% 5.55/5.76 != ( c_2Epred__set_2EEMPTY @ A_27a ) ) )
% 5.55/5.76 => ( p @ ( ap @ V0P @ ( ap @ ( c_2Epred__set_2EREST @ A_27a ) @ V1s ) ) ) )
% 5.55/5.76 => ( p @ ( ap @ V0P @ V1s ) ) ) )
% 5.55/5.76 => ! [V2v: $i] :
% 5.55/5.76 ( ( mem @ V2v @ ( arr @ A_27a @ bool ) )
% 5.55/5.76 => ( p @ ( ap @ V0P @ V2v ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ESET__TO__LIST__EMPTY,axiom,
% 5.55/5.76 ! [A_27a: del] :
% 5.55/5.76 ( ( ap @ ( c_2Elist_2ESET__TO__LIST @ A_27a ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) )
% 5.55/5.76 = ( c_2Elist_2ENIL @ A_27a ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ESET__TO__LIST__INV,axiom,
% 5.55/5.76 ! [A_27a: del,V0s: $i] :
% 5.55/5.76 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.55/5.76 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.55/5.76 => ( ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ ( ap @ ( c_2Elist_2ESET__TO__LIST @ A_27a ) @ V0s ) )
% 5.55/5.76 = V0s ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ESET__TO__LIST__CARD,axiom,
% 5.55/5.76 ! [A_27a: del,V0s: $i] :
% 5.55/5.76 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.55/5.76 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.55/5.76 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ ( ap @ ( c_2Elist_2ESET__TO__LIST @ A_27a ) @ V0s ) ) )
% 5.55/5.76 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ V0s ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ESET__TO__LIST__IN__MEM,axiom,
% 5.55/5.76 ! [A_27a: del,V0s: $i] :
% 5.55/5.76 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.55/5.76 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.55/5.76 => ! [V1x: $i] :
% 5.55/5.76 ( ( mem @ V1x @ A_27a )
% 5.55/5.76 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V1x ) @ V0s ) )
% 5.55/5.76 <=> ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V1x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ ( ap @ ( c_2Elist_2ESET__TO__LIST @ A_27a ) @ V0s ) ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EMEM__SET__TO__LIST,axiom,
% 5.55/5.76 ! [A_27a: del,V0s: $i] :
% 5.55/5.76 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.55/5.76 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.55/5.76 => ! [V1x: $i] :
% 5.55/5.76 ( ( mem @ V1x @ A_27a )
% 5.55/5.76 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V1x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ ( ap @ ( c_2Elist_2ESET__TO__LIST @ A_27a ) @ V0s ) ) ) )
% 5.55/5.76 <=> ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V1x ) @ V0s ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ESET__TO__LIST__SING,axiom,
% 5.55/5.76 ! [A_27a: del,V0x: $i] :
% 5.55/5.76 ( ( mem @ V0x @ A_27a )
% 5.55/5.76 => ( ( ap @ ( c_2Elist_2ESET__TO__LIST @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V0x ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) )
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V0x ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EALL__DISTINCT__SET__TO__LIST,axiom,
% 5.55/5.76 ! [A_27a: del,V0s: $i] :
% 5.55/5.76 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.55/5.76 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.55/5.76 => ( p @ ( ap @ ( c_2Elist_2EALL__DISTINCT @ A_27a ) @ ( ap @ ( c_2Elist_2ESET__TO__LIST @ A_27a ) @ V0s ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EITSET__eq__FOLDL__SET__TO__LIST,axiom,
% 5.55/5.76 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.55/5.76 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.55/5.76 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.55/5.76 => ! [V1f: $i] :
% 5.55/5.76 ( ( mem @ V1f @ ( arr @ A_27a @ ( arr @ A_27b @ A_27b ) ) )
% 5.55/5.76 => ! [V2a: $i] :
% 5.55/5.76 ( ( mem @ V2a @ A_27b )
% 5.55/5.76 => ( ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EITSET @ A_27a @ A_27b ) @ V1f ) @ V0s ) @ V2a )
% 5.55/5.76 = ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDL @ A_27a @ A_27b ) @ ( ap @ ( c_2Ecombin_2EC @ A_27a @ A_27b @ A_27b ) @ V1f ) ) @ V2a ) @ ( ap @ ( c_2Elist_2ESET__TO__LIST @ A_27a ) @ V0s ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(ax_thm_2Elist_2EisPREFIX,axiom,
% 5.55/5.76 ! [A_27a: del] :
% 5.55/5.76 ( ! [V0l: $i] :
% 5.55/5.76 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EisPREFIX @ A_27a ) @ ( c_2Elist_2ENIL @ A_27a ) ) @ V0l ) )
% 5.55/5.76 <=> $true ) )
% 5.55/5.76 & ! [V1h: $i] :
% 5.55/5.76 ( ( mem @ V1h @ A_27a )
% 5.55/5.76 => ! [V2t: $i] :
% 5.55/5.76 ( ( mem @ V2t @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V3l: $i] :
% 5.55/5.76 ( ( mem @ V3l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EisPREFIX @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1h ) @ V2t ) ) @ V3l ) )
% 5.55/5.76 <=> ( p
% 5.55/5.76 @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2Elist__CASE @ A_27a @ bool ) @ V3l ) @ c_2Ebool_2EF )
% 5.55/5.76 @ ( lam @ A_27a
% 5.55/5.76 @ ^ [V4h_27: $i] :
% 5.55/5.76 ( lam @ ( ty_2Elist_2Elist @ A_27a )
% 5.55/5.76 @ ^ [V5t_27: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V1h ) @ V4h_27 ) ) @ ( ap @ ( ap @ ( c_2Elist_2EisPREFIX @ A_27a ) @ V2t ) @ V5t_27 ) ) ) ) ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EisPREFIX__THM,axiom,
% 5.55/5.76 ! [A_27a: del,V0l: $i] :
% 5.55/5.76 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V1h: $i] :
% 5.55/5.76 ( ( mem @ V1h @ A_27a )
% 5.55/5.76 => ! [V2t: $i] :
% 5.55/5.76 ( ( mem @ V2t @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V3h1: $i] :
% 5.55/5.76 ( ( mem @ V3h1 @ A_27a )
% 5.55/5.76 => ! [V4t1: $i] :
% 5.55/5.76 ( ( mem @ V4t1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V5h2: $i] :
% 5.55/5.76 ( ( mem @ V5h2 @ A_27a )
% 5.55/5.76 => ! [V6t2: $i] :
% 5.55/5.76 ( ( mem @ V6t2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EisPREFIX @ A_27a ) @ ( c_2Elist_2ENIL @ A_27a ) ) @ V0l ) )
% 5.55/5.76 <=> $true )
% 5.55/5.76 & ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EisPREFIX @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1h ) @ V2t ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.76 <=> $false )
% 5.55/5.76 & ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EisPREFIX @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3h1 ) @ V4t1 ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V5h2 ) @ V6t2 ) ) )
% 5.55/5.76 <=> ( ( V3h1 = V5h2 )
% 5.55/5.76 & ( p @ ( ap @ ( ap @ ( c_2Elist_2EisPREFIX @ A_27a ) @ V4t1 ) @ V6t2 ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EisPREFIX__NILR,axiom,
% 5.55/5.76 ! [A_27a: del,V0x: $i] :
% 5.55/5.76 ( ( mem @ V0x @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EisPREFIX @ A_27a ) @ V0x ) @ ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.76 <=> ( V0x
% 5.55/5.76 = ( c_2Elist_2ENIL @ A_27a ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EisPREFIX__CONSR,axiom,
% 5.55/5.76 ! [A_27a: del,V0x: $i] :
% 5.55/5.76 ( ( mem @ V0x @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V1y: $i] :
% 5.55/5.76 ( ( mem @ V1y @ A_27a )
% 5.55/5.76 => ! [V2ys: $i] :
% 5.55/5.76 ( ( mem @ V2ys @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EisPREFIX @ A_27a ) @ V0x ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1y ) @ V2ys ) ) )
% 5.55/5.76 <=> ( ( V0x
% 5.55/5.76 = ( c_2Elist_2ENIL @ A_27a ) )
% 5.55/5.76 | ? [V3xs: $i] :
% 5.55/5.76 ( ( mem @ V3xs @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 & ( V0x
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1y ) @ V3xs ) )
% 5.55/5.76 & ( p @ ( ap @ ( ap @ ( c_2Elist_2EisPREFIX @ A_27a ) @ V3xs ) @ V2ys ) ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(ax_thm_2Elist_2ESNOC,axiom,
% 5.55/5.76 ! [A_27a: del] :
% 5.55/5.76 ( ! [V0x: $i] :
% 5.55/5.76 ( ( mem @ V0x @ A_27a )
% 5.55/5.76 => ( ( ap @ ( ap @ ( c_2Elist_2ESNOC @ A_27a ) @ V0x ) @ ( c_2Elist_2ENIL @ A_27a ) )
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V0x ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) )
% 5.55/5.76 & ! [V1x: $i] :
% 5.55/5.76 ( ( mem @ V1x @ A_27a )
% 5.55/5.76 => ! [V2x_27: $i] :
% 5.55/5.76 ( ( mem @ V2x_27 @ A_27a )
% 5.55/5.76 => ! [V3l: $i] :
% 5.55/5.76 ( ( mem @ V3l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( ap @ ( ap @ ( c_2Elist_2ESNOC @ A_27a ) @ V1x ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2x_27 ) @ V3l ) )
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2x_27 ) @ ( ap @ ( ap @ ( c_2Elist_2ESNOC @ A_27a ) @ V1x ) @ V3l ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ELENGTH__SNOC,axiom,
% 5.55/5.76 ! [A_27a: del,V0x: $i] :
% 5.55/5.76 ( ( mem @ V0x @ A_27a )
% 5.55/5.76 => ! [V1l: $i] :
% 5.55/5.76 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ESNOC @ A_27a ) @ V0x ) @ V1l ) ) )
% 5.55/5.76 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enum_2ESUC @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ELAST__SNOC,axiom,
% 5.55/5.76 ! [A_27a: del,V0x: $i] :
% 5.55/5.76 ( ( mem @ V0x @ A_27a )
% 5.55/5.76 => ! [V1l: $i] :
% 5.55/5.76 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( ap @ ( c_2Elist_2ELAST @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ESNOC @ A_27a ) @ V0x ) @ V1l ) )
% 5.55/5.76 = V0x ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EFRONT__SNOC,axiom,
% 5.55/5.76 ! [A_27a: del,V0x: $i] :
% 5.55/5.76 ( ( mem @ V0x @ A_27a )
% 5.55/5.76 => ! [V1l: $i] :
% 5.55/5.76 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( ap @ ( c_2Elist_2EFRONT @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ESNOC @ A_27a ) @ V0x ) @ V1l ) )
% 5.55/5.76 = V1l ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ESNOC__APPEND,axiom,
% 5.55/5.76 ! [A_27a: del,V0x: $i] :
% 5.55/5.76 ( ( mem @ V0x @ A_27a )
% 5.55/5.76 => ! [V1l: $i] :
% 5.55/5.76 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( ap @ ( ap @ ( c_2Elist_2ESNOC @ A_27a ) @ V0x ) @ V1l )
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V1l ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V0x ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ELIST__TO__SET__SNOC,axiom,
% 5.55/5.76 ! [A_27a: del,V0x: $i] :
% 5.55/5.76 ( ( mem @ V0x @ A_27a )
% 5.55/5.76 => ! [V1ls: $i] :
% 5.55/5.76 ( ( mem @ V1ls @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ESNOC @ A_27a ) @ V0x ) @ V1ls ) )
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V0x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V1ls ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EMAP__SNOC,axiom,
% 5.55/5.76 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.55/5.76 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.55/5.76 => ! [V1x: $i] :
% 5.55/5.76 ( ( mem @ V1x @ A_27a )
% 5.55/5.76 => ! [V2l: $i] :
% 5.55/5.76 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27a @ A_27b ) @ V0f ) @ ( ap @ ( ap @ ( c_2Elist_2ESNOC @ A_27a ) @ V1x ) @ V2l ) )
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2ESNOC @ A_27b ) @ ( ap @ V0f @ V1x ) ) @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27a @ A_27b ) @ V0f ) @ V2l ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EEL__SNOC,axiom,
% 5.55/5.76 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1l: $i] :
% 5.55/5.76 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l ) ) )
% 5.55/5.76 => ! [V2x: $i] :
% 5.55/5.76 ( ( mem @ V2x @ A_27a )
% 5.55/5.76 => ( ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( ap @ ( c_2Elist_2ESNOC @ A_27a ) @ V2x ) @ V1l ) )
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1l ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EEL__LENGTH__SNOC,axiom,
% 5.55/5.76 ! [A_27a: del,V0l: $i] :
% 5.55/5.76 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V1x: $i] :
% 5.55/5.76 ( ( mem @ V1x @ A_27a )
% 5.55/5.76 => ( ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ ( c_2Elist_2ESNOC @ A_27a ) @ V1x ) @ V0l ) )
% 5.55/5.76 = V1x ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EAPPEND__SNOC,axiom,
% 5.55/5.76 ! [A_27a: del,V0l1: $i] :
% 5.55/5.76 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V1x: $i] :
% 5.55/5.76 ( ( mem @ V1x @ A_27a )
% 5.55/5.76 => ! [V2l2: $i] :
% 5.55/5.76 ( ( mem @ V2l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V0l1 ) @ ( ap @ ( ap @ ( c_2Elist_2ESNOC @ A_27a ) @ V1x ) @ V2l2 ) )
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2ESNOC @ A_27a ) @ V1x ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V0l1 ) @ V2l2 ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EEVERY__SNOC,axiom,
% 5.55/5.76 ! [A_27a: del,V0P: $i] :
% 5.55/5.76 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.76 => ! [V1x: $i] :
% 5.55/5.76 ( ( mem @ V1x @ A_27a )
% 5.55/5.76 => ! [V2l: $i] :
% 5.55/5.76 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EEVERY @ A_27a ) @ V0P ) @ ( ap @ ( ap @ ( c_2Elist_2ESNOC @ A_27a ) @ V1x ) @ V2l ) ) )
% 5.55/5.76 <=> ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EEVERY @ A_27a ) @ V0P ) @ V2l ) )
% 5.55/5.76 & ( p @ ( ap @ V0P @ V1x ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EEXISTS__SNOC,axiom,
% 5.55/5.76 ! [A_27a: del,V0P: $i] :
% 5.55/5.76 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.76 => ! [V1x: $i] :
% 5.55/5.76 ( ( mem @ V1x @ A_27a )
% 5.55/5.76 => ! [V2l: $i] :
% 5.55/5.76 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EEXISTS @ A_27a ) @ V0P ) @ ( ap @ ( ap @ ( c_2Elist_2ESNOC @ A_27a ) @ V1x ) @ V2l ) ) )
% 5.55/5.76 <=> ( ( p @ ( ap @ V0P @ V1x ) )
% 5.55/5.76 | ( p @ ( ap @ ( ap @ ( c_2Elist_2EEXISTS @ A_27a ) @ V0P ) @ V2l ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EMEM__SNOC,axiom,
% 5.55/5.76 ! [A_27a: del,V0y: $i] :
% 5.55/5.76 ( ( mem @ V0y @ A_27a )
% 5.55/5.76 => ! [V1x: $i] :
% 5.55/5.76 ( ( mem @ V1x @ A_27a )
% 5.55/5.76 => ! [V2l: $i] :
% 5.55/5.76 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0y ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ESNOC @ A_27a ) @ V1x ) @ V2l ) ) ) )
% 5.55/5.76 <=> ( ( V0y = V1x )
% 5.55/5.76 | ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0y ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V2l ) ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ESNOC__11,axiom,
% 5.55/5.76 ! [A_27a: del,V0x: $i] :
% 5.55/5.76 ( ( mem @ V0x @ A_27a )
% 5.55/5.76 => ! [V1y: $i] :
% 5.55/5.76 ( ( mem @ V1y @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V2a: $i] :
% 5.55/5.76 ( ( mem @ V2a @ A_27a )
% 5.55/5.76 => ! [V3b: $i] :
% 5.55/5.76 ( ( mem @ V3b @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( ( ap @ ( ap @ ( c_2Elist_2ESNOC @ A_27a ) @ V0x ) @ V1y )
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2ESNOC @ A_27a ) @ V2a ) @ V3b ) )
% 5.55/5.76 <=> ( ( V0x = V2a )
% 5.55/5.76 & ( V1y = V3b ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EREVERSE__SNOC__DEF,axiom,
% 5.55/5.76 ! [A_27a: del,A_27b: del] :
% 5.55/5.76 ( ( ( ap @ ( c_2Elist_2EREVERSE @ A_27b ) @ ( c_2Elist_2ENIL @ A_27b ) )
% 5.55/5.76 = ( c_2Elist_2ENIL @ A_27b ) )
% 5.55/5.76 & ! [V0x: $i] :
% 5.55/5.76 ( ( mem @ V0x @ A_27a )
% 5.55/5.76 => ! [V1l: $i] :
% 5.55/5.76 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V0x ) @ V1l ) )
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2ESNOC @ A_27a ) @ V0x ) @ ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ V1l ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EREVERSE__SNOC,axiom,
% 5.55/5.76 ! [A_27a: del,V0x: $i] :
% 5.55/5.76 ( ( mem @ V0x @ A_27a )
% 5.55/5.76 => ! [V1l: $i] :
% 5.55/5.76 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ESNOC @ A_27a ) @ V0x ) @ V1l ) )
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V0x ) @ ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ V1l ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ESNOC__Axiom,axiom,
% 5.55/5.76 ! [A_27a: del,A_27b: del,V0e: $i] :
% 5.55/5.76 ( ( mem @ V0e @ A_27b )
% 5.55/5.76 => ! [V1f: $i] :
% 5.55/5.76 ( ( mem @ V1f @ ( arr @ A_27a @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ A_27b @ A_27b ) ) ) )
% 5.55/5.76 => ? [V2fn: $i] :
% 5.55/5.76 ( ( mem @ V2fn @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ A_27b ) )
% 5.55/5.76 & ( ( ap @ V2fn @ ( c_2Elist_2ENIL @ A_27a ) )
% 5.55/5.76 = V0e )
% 5.55/5.76 & ! [V3x: $i] :
% 5.55/5.76 ( ( mem @ V3x @ A_27a )
% 5.55/5.76 => ! [V4l: $i] :
% 5.55/5.76 ( ( mem @ V4l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( ap @ V2fn @ ( ap @ ( ap @ ( c_2Elist_2ESNOC @ A_27a ) @ V3x ) @ V4l ) )
% 5.55/5.76 = ( ap @ ( ap @ ( ap @ V1f @ V3x ) @ V4l ) @ ( ap @ V2fn @ V4l ) ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ESNOC__INDUCT,axiom,
% 5.55/5.76 ! [A_27a: del,V0P: $i] :
% 5.55/5.76 ( ( mem @ V0P @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ bool ) )
% 5.55/5.76 => ( ( ( p @ ( ap @ V0P @ ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.76 & ! [V1l: $i] :
% 5.55/5.76 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( p @ ( ap @ V0P @ V1l ) )
% 5.55/5.76 => ! [V2x: $i] :
% 5.55/5.76 ( ( mem @ V2x @ A_27a )
% 5.55/5.76 => ( p @ ( ap @ V0P @ ( ap @ ( ap @ ( c_2Elist_2ESNOC @ A_27a ) @ V2x ) @ V1l ) ) ) ) ) ) )
% 5.55/5.76 => ! [V3l: $i] :
% 5.55/5.76 ( ( mem @ V3l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( p @ ( ap @ V0P @ V3l ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ESNOC__CASES,axiom,
% 5.55/5.76 ! [A_27a: del,V0ll: $i] :
% 5.55/5.76 ( ( mem @ V0ll @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( V0ll
% 5.55/5.76 = ( c_2Elist_2ENIL @ A_27a ) )
% 5.55/5.76 | ? [V1x: $i] :
% 5.55/5.76 ( ( mem @ V1x @ A_27a )
% 5.55/5.76 & ? [V2l: $i] :
% 5.55/5.76 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 & ( V0ll
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2ESNOC @ A_27a ) @ V1x ) @ V2l ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(ax_thm_2Elist_2EGENLIST,axiom,
% 5.55/5.76 ! [A_27a: del] :
% 5.55/5.76 ( ! [V0f: $i] :
% 5.55/5.76 ( ( mem @ V0f @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.55/5.76 => ( ( ap @ ( ap @ ( c_2Elist_2EGENLIST @ A_27a ) @ V0f ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) )
% 5.55/5.76 = ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.76 & ! [V1f: $i] :
% 5.55/5.76 ( ( mem @ V1f @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.55/5.76 => ! [V2n: tp__ty_2Enum_2Enum] :
% 5.55/5.76 ( ( ap @ ( ap @ ( c_2Elist_2EGENLIST @ A_27a ) @ V1f ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V2n ) ) )
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2ESNOC @ A_27a ) @ ( ap @ V1f @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2EGENLIST @ A_27a ) @ V1f ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ELENGTH__GENLIST,axiom,
% 5.55/5.76 ! [A_27a: del,V0f: $i] :
% 5.55/5.76 ( ( mem @ V0f @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.55/5.76 => ! [V1n: tp__ty_2Enum_2Enum] :
% 5.55/5.76 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EGENLIST @ A_27a ) @ V0f ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.55/5.76 = V1n ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(ax_thm_2Elist_2EGENLIST__AUX,axiom,
% 5.55/5.76 ! [A_27a: del] :
% 5.55/5.76 ( ! [V0f: $i] :
% 5.55/5.76 ( ( mem @ V0f @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.55/5.76 => ! [V1l: $i] :
% 5.55/5.76 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( ap @ ( ap @ ( ap @ ( c_2Elist_2EGENLIST__AUX @ A_27a ) @ V0f ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ V1l )
% 5.55/5.76 = V1l ) ) )
% 5.55/5.76 & ! [V2f: $i] :
% 5.55/5.76 ( ( mem @ V2f @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.55/5.76 => ! [V3n: tp__ty_2Enum_2Enum,V4l: $i] :
% 5.55/5.76 ( ( mem @ V4l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( ap @ ( ap @ ( ap @ ( c_2Elist_2EGENLIST__AUX @ A_27a ) @ V2f ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) @ V4l )
% 5.55/5.76 = ( ap @ ( ap @ ( ap @ ( c_2Elist_2EGENLIST__AUX @ A_27a ) @ V2f ) @ ( inj__ty_2Enum_2Enum @ V3n ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ V2f @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) @ V4l ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EGENLIST__AUX__compute,axiom,
% 5.55/5.76 ! [A_27a: del] :
% 5.55/5.76 ( ! [V0f: $i] :
% 5.55/5.76 ( ( mem @ V0f @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.55/5.76 => ! [V1l: $i] :
% 5.55/5.76 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( ap @ ( ap @ ( ap @ ( c_2Elist_2EGENLIST__AUX @ A_27a ) @ V0f ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ V1l )
% 5.55/5.76 = V1l ) ) )
% 5.55/5.76 & ! [V2f: $i] :
% 5.55/5.76 ( ( mem @ V2f @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.55/5.76 => ! [V3n: tp__ty_2Enum_2Enum,V4l: $i] :
% 5.55/5.76 ( ( mem @ V4l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( ap @ ( ap @ ( ap @ ( c_2Elist_2EGENLIST__AUX @ A_27a ) @ V2f ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) ) @ V4l )
% 5.55/5.76 = ( ap @ ( ap @ ( ap @ ( c_2Elist_2EGENLIST__AUX @ A_27a ) @ V2f ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ V2f @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ V4l ) ) ) ) )
% 5.55/5.76 & ! [V5f: $i] :
% 5.55/5.76 ( ( mem @ V5f @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.55/5.76 => ! [V6n: tp__ty_2Enum_2Enum,V7l: $i] :
% 5.55/5.76 ( ( mem @ V7l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( ap @ ( ap @ ( ap @ ( c_2Elist_2EGENLIST__AUX @ A_27a ) @ V5f ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V6n ) ) ) ) @ V7l )
% 5.55/5.76 = ( ap @ ( ap @ ( ap @ ( c_2Elist_2EGENLIST__AUX @ A_27a ) @ V5f ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V6n ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ V5f @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V6n ) ) ) ) ) @ V7l ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(ax_thm_2Elist_2EPAD__LEFT,axiom,
% 5.55/5.76 ! [A_27a: del,V0c: $i] :
% 5.55/5.76 ( ( mem @ V0c @ A_27a )
% 5.55/5.76 => ! [V1n: tp__ty_2Enum_2Enum,V2s: $i] :
% 5.55/5.76 ( ( mem @ V2s @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( ap @ ( ap @ ( ap @ ( c_2Elist_2EPAD__LEFT @ A_27a ) @ V0c ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ V2s )
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EGENLIST @ A_27a ) @ ( ap @ ( c_2Ecombin_2EK @ A_27a @ ty_2Enum_2Enum ) @ V0c ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2s ) ) ) ) @ V2s ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(ax_thm_2Elist_2EPAD__RIGHT,axiom,
% 5.55/5.76 ! [A_27a: del,V0c: $i] :
% 5.55/5.76 ( ( mem @ V0c @ A_27a )
% 5.55/5.76 => ! [V1n: tp__ty_2Enum_2Enum,V2s: $i] :
% 5.55/5.76 ( ( mem @ V2s @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( ap @ ( ap @ ( ap @ ( c_2Elist_2EPAD__RIGHT @ A_27a ) @ V0c ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ V2s )
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V2s ) @ ( ap @ ( ap @ ( c_2Elist_2EGENLIST @ A_27a ) @ ( ap @ ( c_2Ecombin_2EK @ A_27a @ ty_2Enum_2Enum ) @ V0c ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2s ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EMAP__GENLIST,axiom,
% 5.55/5.76 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.55/5.76 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.55/5.76 => ! [V1g: $i] :
% 5.55/5.76 ( ( mem @ V1g @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.55/5.76 => ! [V2n: tp__ty_2Enum_2Enum] :
% 5.55/5.76 ( ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27a @ A_27b ) @ V0f ) @ ( ap @ ( ap @ ( c_2Elist_2EGENLIST @ A_27a ) @ V1g ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) )
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2EGENLIST @ A_27b ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ty_2Enum_2Enum @ A_27b @ A_27a ) @ V0f ) @ V1g ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EEL__GENLIST,axiom,
% 5.55/5.76 ! [A_27a: del,V0f: $i] :
% 5.55/5.76 ( ( mem @ V0f @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.55/5.76 => ! [V1n: tp__ty_2Enum_2Enum,V2x: tp__ty_2Enum_2Enum] :
% 5.55/5.76 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V2x ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.55/5.76 => ( ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V2x ) ) @ ( ap @ ( ap @ ( c_2Elist_2EGENLIST @ A_27a ) @ V0f ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.55/5.76 = ( ap @ V0f @ ( inj__ty_2Enum_2Enum @ V2x ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EHD__GENLIST,axiom,
% 5.55/5.76 ! [A_27a: del,V0f: $i] :
% 5.55/5.76 ( ( mem @ V0f @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.55/5.76 => ! [V1n: tp__ty_2Enum_2Enum] :
% 5.55/5.76 ( ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EGENLIST @ A_27a ) @ V0f ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.55/5.76 = ( ap @ V0f @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EHD__GENLIST__COR,axiom,
% 5.55/5.76 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1f: $i] :
% 5.55/5.76 ( ( mem @ V1f @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.55/5.76 => ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.55/5.76 => ( ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EGENLIST @ A_27a ) @ V1f ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.55/5.76 = ( ap @ V1f @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EGENLIST__FUN__EQ,axiom,
% 5.55/5.76 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1f: $i] :
% 5.55/5.76 ( ( mem @ V1f @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.55/5.76 => ! [V2g: $i] :
% 5.55/5.76 ( ( mem @ V2g @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.55/5.76 => ( ( ( ap @ ( ap @ ( c_2Elist_2EGENLIST @ A_27a ) @ V1f ) @ ( inj__ty_2Enum_2Enum @ V0n ) )
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2EGENLIST @ A_27a ) @ V2g ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.55/5.76 <=> ! [V3x: tp__ty_2Enum_2Enum] :
% 5.55/5.76 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V3x ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.55/5.76 => ( ( ap @ V1f @ ( inj__ty_2Enum_2Enum @ V3x ) )
% 5.55/5.76 = ( ap @ V2g @ ( inj__ty_2Enum_2Enum @ V3x ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EGENLIST__APPEND,axiom,
% 5.55/5.76 ! [A_27a: del,V0f: $i] :
% 5.55/5.76 ( ( mem @ V0f @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.55/5.76 => ! [V1a: tp__ty_2Enum_2Enum,V2b: tp__ty_2Enum_2Enum] :
% 5.55/5.76 ( ( ap @ ( ap @ ( c_2Elist_2EGENLIST @ A_27a ) @ V0f ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1a ) ) @ ( inj__ty_2Enum_2Enum @ V2b ) ) )
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EGENLIST @ A_27a ) @ V0f ) @ ( inj__ty_2Enum_2Enum @ V2b ) ) )
% 5.55/5.76 @ ( ap
% 5.55/5.76 @ ( ap @ ( c_2Elist_2EGENLIST @ A_27a )
% 5.55/5.76 @ ( lam @ ty_2Enum_2Enum
% 5.55/5.76 @ ^ [V3t: $i] : ( ap @ V0f @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ V3t ) @ ( inj__ty_2Enum_2Enum @ V2b ) ) ) ) )
% 5.55/5.76 @ ( inj__ty_2Enum_2Enum @ V1a ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EEVERY__GENLIST,axiom,
% 5.55/5.76 ! [A_27a: del,V0P: $i] :
% 5.55/5.76 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.76 => ! [V1f: $i] :
% 5.55/5.76 ( ( mem @ V1f @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.55/5.76 => ! [V2n: tp__ty_2Enum_2Enum] :
% 5.55/5.76 ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EEVERY @ A_27a ) @ V0P ) @ ( ap @ ( ap @ ( c_2Elist_2EGENLIST @ A_27a ) @ V1f ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) )
% 5.55/5.76 <=> ! [V3i: tp__ty_2Enum_2Enum] :
% 5.55/5.76 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V3i ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) )
% 5.55/5.76 => ( p @ ( ap @ V0P @ ( ap @ V1f @ ( inj__ty_2Enum_2Enum @ V3i ) ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EEXISTS__GENLIST,axiom,
% 5.55/5.76 ! [A_27a: del,V0P: $i] :
% 5.55/5.76 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.76 => ! [V1f: $i] :
% 5.55/5.76 ( ( mem @ V1f @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.55/5.76 => ! [V2n: tp__ty_2Enum_2Enum] :
% 5.55/5.76 ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EEXISTS @ A_27a ) @ V0P ) @ ( ap @ ( ap @ ( c_2Elist_2EGENLIST @ A_27a ) @ V1f ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) )
% 5.55/5.76 <=> ? [V3i: tp__ty_2Enum_2Enum] :
% 5.55/5.76 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V3i ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) )
% 5.55/5.76 & ( p @ ( ap @ V0P @ ( ap @ V1f @ ( inj__ty_2Enum_2Enum @ V3i ) ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ETL__GENLIST,axiom,
% 5.55/5.76 ! [A_27a: del,V0f: $i] :
% 5.55/5.76 ( ( mem @ V0f @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.55/5.76 => ! [V1n: tp__ty_2Enum_2Enum] :
% 5.55/5.76 ( ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EGENLIST @ A_27a ) @ V0f ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2EGENLIST @ A_27a ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ty_2Enum_2Enum @ A_27a @ ty_2Enum_2Enum ) @ V0f ) @ c_2Enum_2ESUC ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EZIP__GENLIST,axiom,
% 5.55/5.76 ! [A_27a: del,A_27b: del,V0l: $i] :
% 5.55/5.76 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V1f: $i] :
% 5.55/5.76 ( ( mem @ V1f @ ( arr @ ty_2Enum_2Enum @ A_27b ) )
% 5.55/5.76 => ! [V2n: tp__ty_2Enum_2Enum] :
% 5.55/5.76 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.76 = V2n )
% 5.55/5.76 => ( ( ap @ ( c_2Elist_2EZIP @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27b ) ) @ V0l ) @ ( ap @ ( ap @ ( c_2Elist_2EGENLIST @ A_27b ) @ V1f ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) )
% 5.55/5.76 = ( ap
% 5.55/5.76 @ ( ap @ ( c_2Elist_2EGENLIST @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) )
% 5.55/5.76 @ ( lam @ ty_2Enum_2Enum
% 5.55/5.76 @ ^ [V3x: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ V3x ) @ V0l ) ) @ ( ap @ V1f @ V3x ) ) ) )
% 5.55/5.76 @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EGENLIST__CONS,axiom,
% 5.55/5.76 ! [A_27a: del,V0f: $i] :
% 5.55/5.76 ( ( mem @ V0f @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.55/5.76 => ! [V1n: tp__ty_2Enum_2Enum] :
% 5.55/5.76 ( ( ap @ ( ap @ ( c_2Elist_2EGENLIST @ A_27a ) @ V0f ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ V0f @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2EGENLIST @ A_27a ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ty_2Enum_2Enum @ A_27a @ ty_2Enum_2Enum ) @ V0f ) @ c_2Enum_2ESUC ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ENULL__GENLIST,axiom,
% 5.55/5.76 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1f: $i] :
% 5.55/5.76 ( ( mem @ V1f @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.55/5.76 => ( ( p @ ( ap @ ( c_2Elist_2ENULL @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EGENLIST @ A_27a ) @ V1f ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) )
% 5.55/5.76 <=> ( V0n = fo__c_2Enum_2E0 ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EGENLIST__GENLIST__AUX,axiom,
% 5.55/5.76 ! [A_27a: del,V0f: $i] :
% 5.55/5.76 ( ( mem @ V0f @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.55/5.76 => ! [V1n: tp__ty_2Enum_2Enum] :
% 5.55/5.76 ( ( ap @ ( ap @ ( c_2Elist_2EGENLIST @ A_27a ) @ V0f ) @ ( inj__ty_2Enum_2Enum @ V1n ) )
% 5.55/5.76 = ( ap @ ( ap @ ( ap @ ( c_2Elist_2EGENLIST__AUX @ A_27a ) @ V0f ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EGENLIST__NUMERALS,axiom,
% 5.55/5.76 ! [A_27a: del,V0f: $i] :
% 5.55/5.76 ( ( mem @ V0f @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.55/5.76 => ! [V1n: tp__ty_2Enum_2Enum] :
% 5.55/5.76 ( ( ( ap @ ( ap @ ( c_2Elist_2EGENLIST @ A_27a ) @ V0f ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) )
% 5.55/5.76 = ( c_2Elist_2ENIL @ A_27a ) )
% 5.55/5.76 & ( ( ap @ ( ap @ ( c_2Elist_2EGENLIST @ A_27a ) @ V0f ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.55/5.76 = ( ap @ ( ap @ ( ap @ ( c_2Elist_2EGENLIST__AUX @ A_27a ) @ V0f ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EMEM__GENLIST,axiom,
% 5.55/5.76 ! [A_27a: del,V0x: $i] :
% 5.55/5.76 ( ( mem @ V0x @ A_27a )
% 5.55/5.76 => ! [V1f: $i] :
% 5.55/5.76 ( ( mem @ V1f @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.55/5.76 => ! [V2n: tp__ty_2Enum_2Enum] :
% 5.55/5.76 ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EGENLIST @ A_27a ) @ V1f ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) )
% 5.55/5.76 <=> ? [V3m: tp__ty_2Enum_2Enum] :
% 5.55/5.76 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V3m ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) )
% 5.55/5.76 & ( V0x
% 5.55/5.76 = ( ap @ V1f @ ( inj__ty_2Enum_2Enum @ V3m ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EALL__DISTINCT__SNOC,axiom,
% 5.55/5.76 ! [A_27a: del,V0x: $i] :
% 5.55/5.76 ( ( mem @ V0x @ A_27a )
% 5.55/5.76 => ! [V1l: $i] :
% 5.55/5.76 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( p @ ( ap @ ( c_2Elist_2EALL__DISTINCT @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ESNOC @ A_27a ) @ V0x ) @ V1l ) ) )
% 5.55/5.76 <=> ( ~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V1l ) ) )
% 5.55/5.76 & ( p @ ( ap @ ( c_2Elist_2EALL__DISTINCT @ A_27a ) @ V1l ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EALL__DISTINCT__GENLIST,axiom,
% 5.55/5.76 ! [A_27a: del,V0f: $i] :
% 5.55/5.76 ( ( mem @ V0f @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.55/5.76 => ! [V1n: tp__ty_2Enum_2Enum] :
% 5.55/5.76 ( ( p @ ( ap @ ( c_2Elist_2EALL__DISTINCT @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EGENLIST @ A_27a ) @ V0f ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.55/5.76 <=> ! [V2m1: tp__ty_2Enum_2Enum,V3m2: tp__ty_2Enum_2Enum] :
% 5.55/5.76 ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V2m1 ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.55/5.76 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V3m2 ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.55/5.76 & ( ( ap @ V0f @ ( inj__ty_2Enum_2Enum @ V2m1 ) )
% 5.55/5.76 = ( ap @ V0f @ ( inj__ty_2Enum_2Enum @ V3m2 ) ) ) )
% 5.55/5.76 => ( V2m1 = V3m2 ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EFOLDL__SNOC,axiom,
% 5.55/5.76 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.55/5.76 ( ( mem @ V0f @ ( arr @ A_27b @ ( arr @ A_27a @ A_27b ) ) )
% 5.55/5.76 => ! [V1e: $i] :
% 5.55/5.76 ( ( mem @ V1e @ A_27b )
% 5.55/5.76 => ! [V2x: $i] :
% 5.55/5.76 ( ( mem @ V2x @ A_27a )
% 5.55/5.76 => ! [V3l: $i] :
% 5.55/5.76 ( ( mem @ V3l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDL @ A_27a @ A_27b ) @ V0f ) @ V1e ) @ ( ap @ ( ap @ ( c_2Elist_2ESNOC @ A_27a ) @ V2x ) @ V3l ) )
% 5.55/5.76 = ( ap @ ( ap @ V0f @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDL @ A_27a @ A_27b ) @ V0f ) @ V1e ) @ V3l ) ) @ V2x ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ESUM__SNOC,axiom,
% 5.55/5.76 ! [V0x: tp__ty_2Enum_2Enum,V1l: tp__c_ty_2Elist_2Elist_ty_2Enum_2Enum] :
% 5.55/5.76 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Elist_2ESUM @ ( ap @ ( ap @ ( c_2Elist_2ESNOC @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ V1l ) ) ) )
% 5.55/5.76 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Elist_2ESUM @ ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ V1l ) ) ) @ ( inj__ty_2Enum_2Enum @ V0x ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ESUM__APPEND,axiom,
% 5.55/5.76 ! [V0l1: tp__c_ty_2Elist_2Elist_ty_2Enum_2Enum,V1l2: tp__c_ty_2Elist_2Elist_ty_2Enum_2Enum] :
% 5.55/5.76 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Elist_2ESUM @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ ty_2Enum_2Enum ) @ ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ V0l1 ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ V1l2 ) ) ) )
% 5.55/5.76 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Elist_2ESUM @ ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ V0l1 ) ) ) @ ( ap @ c_2Elist_2ESUM @ ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ V1l2 ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ESUM__MAP__FOLDL,axiom,
% 5.55/5.76 ! [A_27a: del,V0f: $i] :
% 5.55/5.76 ( ( mem @ V0f @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.55/5.76 => ! [V1ls: $i] :
% 5.55/5.76 ( ( mem @ V1ls @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Elist_2ESUM @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27a @ ty_2Enum_2Enum ) @ V0f ) @ V1ls ) ) )
% 5.55/5.76 = ( surj__ty_2Enum_2Enum
% 5.55/5.76 @ ( ap
% 5.55/5.76 @ ( ap
% 5.55/5.76 @ ( ap @ ( c_2Elist_2EFOLDL @ A_27a @ ty_2Enum_2Enum )
% 5.55/5.76 @ ( lam @ ty_2Enum_2Enum
% 5.55/5.76 @ ^ [V2a: $i] :
% 5.55/5.76 ( lam @ A_27a
% 5.55/5.76 @ ^ [V3e: $i] : ( ap @ ( ap @ c_2Earithmetic_2E_2B @ V2a ) @ ( ap @ V0f @ V3e ) ) ) ) )
% 5.55/5.76 @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) )
% 5.55/5.76 @ V1ls ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ESUM__IMAGE__eq__SUM__MAP__SET__TO__LIST,axiom,
% 5.55/5.76 ! [A_27a: del,V0s: $i] :
% 5.55/5.76 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.55/5.76 => ! [V1f: $i] :
% 5.55/5.76 ( ( mem @ V1f @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.55/5.76 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.55/5.76 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( c_2Epred__set_2ESUM__IMAGE @ A_27a ) @ V1f ) @ V0s ) )
% 5.55/5.76 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Elist_2ESUM @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27a @ ty_2Enum_2Enum ) @ V1f ) @ ( ap @ ( c_2Elist_2ESET__TO__LIST @ A_27a ) @ V0s ) ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EEL__REVERSE,axiom,
% 5.55/5.76 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1l: $i] :
% 5.55/5.76 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l ) ) )
% 5.55/5.76 => ( ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ V1l ) )
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( ap @ c_2Eprim__rec_2EPRE @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) @ V1l ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EREVERSE__GENLIST,axiom,
% 5.55/5.76 ! [A_27a: del,V0f: $i] :
% 5.55/5.76 ( ( mem @ V0f @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.55/5.76 => ! [V1n: tp__ty_2Enum_2Enum] :
% 5.55/5.76 ( ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EGENLIST @ A_27a ) @ V0f ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.55/5.76 = ( ap
% 5.55/5.76 @ ( ap @ ( c_2Elist_2EGENLIST @ A_27a )
% 5.55/5.76 @ ( lam @ ty_2Enum_2Enum
% 5.55/5.76 @ ^ [V2m: $i] : ( ap @ V0f @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ c_2Eprim__rec_2EPRE @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ V2m ) ) ) )
% 5.55/5.76 @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EFOLDL__UNION__BIGUNION,axiom,
% 5.55/5.76 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.55/5.76 ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.55/5.76 => ! [V1ls: $i] :
% 5.55/5.76 ( ( mem @ V1ls @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V2s: $i] :
% 5.55/5.76 ( ( mem @ V2s @ ( arr @ A_27b @ bool ) )
% 5.55/5.76 => ( ( ap
% 5.55/5.76 @ ( ap
% 5.55/5.76 @ ( ap @ ( c_2Elist_2EFOLDL @ A_27a @ ( arr @ A_27b @ bool ) )
% 5.55/5.76 @ ( lam @ ( arr @ A_27b @ bool )
% 5.55/5.76 @ ^ [V3s: $i] :
% 5.55/5.76 ( lam @ A_27a
% 5.55/5.76 @ ^ [V4x: $i] : ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27b ) @ V3s ) @ ( ap @ V0f @ V4x ) ) ) ) )
% 5.55/5.76 @ V2s )
% 5.55/5.76 @ V1ls )
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27b ) @ V2s ) @ ( ap @ ( c_2Epred__set_2EBIGUNION @ A_27b ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ ( arr @ A_27b @ bool ) ) @ V0f ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V1ls ) ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EFOLDL__UNION__BIGUNION__paired,axiom,
% 5.55/5.76 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.55/5.76 ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27b @ ( arr @ A_27c @ bool ) ) ) )
% 5.55/5.76 => ! [V1ls: $i] :
% 5.55/5.76 ( ( mem @ V1ls @ ( ty_2Elist_2Elist @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) )
% 5.55/5.76 => ! [V2s: $i] :
% 5.55/5.76 ( ( mem @ V2s @ ( arr @ A_27c @ bool ) )
% 5.55/5.76 => ( ( ap
% 5.55/5.76 @ ( ap
% 5.55/5.76 @ ( ap @ ( c_2Elist_2EFOLDL @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ ( arr @ A_27c @ bool ) )
% 5.55/5.76 @ ( lam @ ( arr @ A_27c @ bool )
% 5.55/5.76 @ ^ [V3s: $i] :
% 5.55/5.76 ( ap @ ( c_2Epair_2EUNCURRY @ A_27a @ A_27b @ ( arr @ A_27c @ bool ) )
% 5.55/5.76 @ ( lam @ A_27a
% 5.55/5.76 @ ^ [V4x: $i] :
% 5.55/5.76 ( lam @ A_27b
% 5.55/5.76 @ ^ [V5y: $i] : ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27c ) @ V3s ) @ ( ap @ ( ap @ V0f @ V4x ) @ V5y ) ) ) ) ) ) )
% 5.55/5.76 @ V2s )
% 5.55/5.76 @ V1ls )
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27c ) @ V2s ) @ ( ap @ ( c_2Epred__set_2EBIGUNION @ A_27c ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ ( arr @ A_27c @ bool ) ) @ ( ap @ ( c_2Epair_2EUNCURRY @ A_27a @ A_27b @ ( arr @ A_27c @ bool ) ) @ V0f ) ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ V1ls ) ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EFOLDL__ZIP__SAME,axiom,
% 5.55/5.76 ! [A_27a: del,A_27b: del,V0ls: $i] :
% 5.55/5.76 ( ( mem @ V0ls @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V1f: $i] :
% 5.55/5.76 ( ( mem @ V1f @ ( arr @ A_27b @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ A_27b ) ) )
% 5.55/5.76 => ! [V2e: $i] :
% 5.55/5.76 ( ( mem @ V2e @ A_27b )
% 5.55/5.76 => ( ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDL @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ A_27b ) @ V1f ) @ V2e ) @ ( ap @ ( c_2Elist_2EZIP @ A_27a @ A_27a ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) @ V0ls ) @ V0ls ) ) )
% 5.55/5.76 = ( ap
% 5.55/5.76 @ ( ap
% 5.55/5.76 @ ( ap @ ( c_2Elist_2EFOLDL @ A_27a @ A_27b )
% 5.55/5.76 @ ( lam @ A_27b
% 5.55/5.76 @ ^ [V3x: $i] :
% 5.55/5.76 ( lam @ A_27a
% 5.55/5.76 @ ^ [V4y: $i] : ( ap @ ( ap @ V1f @ V3x ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V4y ) @ V4y ) ) ) ) )
% 5.55/5.76 @ V2e )
% 5.55/5.76 @ V0ls ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EMAP__ZIP__SAME,axiom,
% 5.55/5.76 ! [A_27a: del,A_27b: del,V0ls: $i] :
% 5.55/5.76 ( ( mem @ V0ls @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V1f: $i] :
% 5.55/5.76 ( ( mem @ V1f @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ A_27b ) )
% 5.55/5.76 => ( ( ap @ ( ap @ ( c_2Elist_2EMAP @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ A_27b ) @ V1f ) @ ( ap @ ( c_2Elist_2EZIP @ A_27a @ A_27a ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) @ V0ls ) @ V0ls ) ) )
% 5.55/5.76 = ( ap
% 5.55/5.76 @ ( ap @ ( c_2Elist_2EMAP @ A_27a @ A_27b )
% 5.55/5.76 @ ( lam @ A_27a
% 5.55/5.76 @ ^ [V2x: $i] : ( ap @ V1f @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V2x ) @ V2x ) ) ) )
% 5.55/5.76 @ V0ls ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EINFINITE__LIST__UNIV,axiom,
% 5.55/5.76 ! [A_27a: del] :
% 5.55/5.76 ~ ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( c_2Epred__set_2EUNIV @ ( ty_2Elist_2Elist @ A_27a ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(ax_thm_2Elist_2ELEN__DEF,axiom,
% 5.55/5.76 ! [A_27a: del] :
% 5.55/5.76 ( ! [V0n: tp__ty_2Enum_2Enum] :
% 5.55/5.76 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( c_2Elist_2ELEN @ A_27a ) @ ( c_2Elist_2ENIL @ A_27a ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.55/5.76 = V0n )
% 5.55/5.76 & ! [V1h: $i] :
% 5.55/5.76 ( ( mem @ V1h @ A_27a )
% 5.55/5.76 => ! [V2t: $i] :
% 5.55/5.76 ( ( mem @ V2t @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V3n: tp__ty_2Enum_2Enum] :
% 5.55/5.76 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( c_2Elist_2ELEN @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1h ) @ V2t ) ) @ ( inj__ty_2Enum_2Enum @ V3n ) ) )
% 5.55/5.76 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( c_2Elist_2ELEN @ A_27a ) @ V2t ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V3n ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(ax_thm_2Elist_2EREV__DEF,axiom,
% 5.55/5.76 ! [A_27a: del] :
% 5.55/5.76 ( ! [V0acc: $i] :
% 5.55/5.76 ( ( mem @ V0acc @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( ap @ ( ap @ ( c_2Elist_2EREV @ A_27a ) @ ( c_2Elist_2ENIL @ A_27a ) ) @ V0acc )
% 5.55/5.76 = V0acc ) )
% 5.55/5.76 & ! [V1h: $i] :
% 5.55/5.76 ( ( mem @ V1h @ A_27a )
% 5.55/5.76 => ! [V2t: $i] :
% 5.55/5.76 ( ( mem @ V2t @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V3acc: $i] :
% 5.55/5.76 ( ( mem @ V3acc @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( ap @ ( ap @ ( c_2Elist_2EREV @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1h ) @ V2t ) ) @ V3acc )
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2EREV @ A_27a ) @ V2t ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1h ) @ V3acc ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ELEN__LENGTH__LEM,axiom,
% 5.55/5.76 ! [A_27a: del,V0L: $i] :
% 5.55/5.76 ( ( mem @ V0L @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V1n: tp__ty_2Enum_2Enum] :
% 5.55/5.76 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( c_2Elist_2ELEN @ A_27a ) @ V0L ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.55/5.76 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0L ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EREV__REVERSE__LEM,axiom,
% 5.55/5.76 ! [A_27a: del,V0L1: $i] :
% 5.55/5.76 ( ( mem @ V0L1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V1L2: $i] :
% 5.55/5.76 ( ( mem @ V1L2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( ap @ ( ap @ ( c_2Elist_2EREV @ A_27a ) @ V0L1 ) @ V1L2 )
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ V0L1 ) ) @ V1L2 ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ELENGTH__LEN,axiom,
% 5.55/5.76 ! [A_27a: del,V0L: $i] :
% 5.55/5.76 ( ( mem @ V0L @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0L ) )
% 5.55/5.76 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( c_2Elist_2ELEN @ A_27a ) @ V0L ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EREVERSE__REV,axiom,
% 5.55/5.76 ! [A_27a: del,V0L: $i] :
% 5.55/5.76 ( ( mem @ V0L @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ V0L )
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2EREV @ A_27a ) @ V0L ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(ax_thm_2Elist_2ESUM__ACC__DEF,axiom,
% 5.55/5.76 ( ! [V0acc: tp__ty_2Enum_2Enum] :
% 5.55/5.76 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Elist_2ESUM__ACC @ ( c_2Elist_2ENIL @ ty_2Enum_2Enum ) ) @ ( inj__ty_2Enum_2Enum @ V0acc ) ) )
% 5.55/5.76 = V0acc )
% 5.55/5.76 & ! [V1h: tp__ty_2Enum_2Enum,V2t: tp__c_ty_2Elist_2Elist_ty_2Enum_2Enum,V3acc: tp__ty_2Enum_2Enum] :
% 5.55/5.76 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Elist_2ESUM__ACC @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V1h ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ V2t ) ) ) @ ( inj__ty_2Enum_2Enum @ V3acc ) ) )
% 5.55/5.76 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Elist_2ESUM__ACC @ ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ V2t ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1h ) ) @ ( inj__ty_2Enum_2Enum @ V3acc ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ESUM__ACC__SUM__LEM,axiom,
% 5.55/5.76 ! [V0L: tp__c_ty_2Elist_2Elist_ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.55/5.76 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Elist_2ESUM__ACC @ ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ V0L ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.55/5.76 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Elist_2ESUM @ ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ V0L ) ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ESUM__SUM__ACC,axiom,
% 5.55/5.76 ! [V0L: tp__c_ty_2Elist_2Elist_ty_2Enum_2Enum] :
% 5.55/5.76 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Elist_2ESUM @ ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ V0L ) ) )
% 5.55/5.76 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Elist_2ESUM__ACC @ ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ V0L ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EEXISTS__LIST,axiom,
% 5.55/5.76 ! [A_27a: del,V0P: $i] :
% 5.55/5.76 ( ( mem @ V0P @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ bool ) )
% 5.55/5.76 => ( ? [V1l: $i] :
% 5.55/5.76 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 & ( p @ ( ap @ V0P @ V1l ) ) )
% 5.55/5.76 <=> ( ( p @ ( ap @ V0P @ ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.76 | ? [V2h: $i] :
% 5.55/5.76 ( ( mem @ V2h @ A_27a )
% 5.55/5.76 & ? [V3t: $i] :
% 5.55/5.76 ( ( mem @ V3t @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 & ( p @ ( ap @ V0P @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2h ) @ V3t ) ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EFORALL__LIST,axiom,
% 5.55/5.76 ! [A_27a: del,V0P: $i] :
% 5.55/5.76 ( ( mem @ V0P @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ bool ) )
% 5.55/5.76 => ( ! [V1l: $i] :
% 5.55/5.76 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( p @ ( ap @ V0P @ V1l ) ) )
% 5.55/5.76 <=> ( ( p @ ( ap @ V0P @ ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.76 & ! [V2h: $i] :
% 5.55/5.76 ( ( mem @ V2h @ A_27a )
% 5.55/5.76 => ! [V3t: $i] :
% 5.55/5.76 ( ( mem @ V3t @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( p @ ( ap @ V0P @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2h ) @ V3t ) ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EMEM__SPLIT__APPEND__first,axiom,
% 5.55/5.76 ! [A_27a: del,V0e: $i] :
% 5.55/5.76 ( ( mem @ V0e @ A_27a )
% 5.55/5.76 => ! [V1l: $i] :
% 5.55/5.76 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0e ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V1l ) ) )
% 5.55/5.76 <=> ? [V2pfx: $i] :
% 5.55/5.76 ( ( mem @ V2pfx @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 & ? [V3sfx: $i] :
% 5.55/5.76 ( ( mem @ V3sfx @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 & ( V1l
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V2pfx ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V0e ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) @ V3sfx ) )
% 5.55/5.76 & ~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0e ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V2pfx ) ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EMEM__SPLIT__APPEND__last,axiom,
% 5.55/5.76 ! [A_27a: del,V0e: $i] :
% 5.55/5.76 ( ( mem @ V0e @ A_27a )
% 5.55/5.76 => ! [V1l: $i] :
% 5.55/5.76 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0e ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V1l ) ) )
% 5.55/5.76 <=> ? [V2pfx: $i] :
% 5.55/5.76 ( ( mem @ V2pfx @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 & ? [V3sfx: $i] :
% 5.55/5.76 ( ( mem @ V3sfx @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 & ( V1l
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V2pfx ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V0e ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) @ V3sfx ) )
% 5.55/5.76 & ~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0e ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V3sfx ) ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EAPPEND__EQ__APPEND,axiom,
% 5.55/5.76 ! [A_27a: del,V0l1: $i] :
% 5.55/5.76 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V1l2: $i] :
% 5.55/5.76 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V2m1: $i] :
% 5.55/5.76 ( ( mem @ V2m1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V3m2: $i] :
% 5.55/5.76 ( ( mem @ V3m2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V0l1 ) @ V1l2 )
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V2m1 ) @ V3m2 ) )
% 5.55/5.76 <=> ( ? [V4l: $i] :
% 5.55/5.76 ( ( mem @ V4l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 & ( V0l1
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V2m1 ) @ V4l ) )
% 5.55/5.76 & ( V3m2
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V4l ) @ V1l2 ) ) )
% 5.55/5.76 | ? [V5l: $i] :
% 5.55/5.76 ( ( mem @ V5l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 & ( V2m1
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V0l1 ) @ V5l ) )
% 5.55/5.76 & ( V1l2
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V5l ) @ V3m2 ) ) ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EAPPEND__EQ__CONS,axiom,
% 5.55/5.76 ! [A_27a: del,V0l1: $i] :
% 5.55/5.76 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V1l2: $i] :
% 5.55/5.76 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V2h: $i] :
% 5.55/5.76 ( ( mem @ V2h @ A_27a )
% 5.55/5.76 => ! [V3t: $i] :
% 5.55/5.76 ( ( mem @ V3t @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V0l1 ) @ V1l2 )
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2h ) @ V3t ) )
% 5.55/5.76 <=> ( ( ( V0l1
% 5.55/5.76 = ( c_2Elist_2ENIL @ A_27a ) )
% 5.55/5.76 & ( V1l2
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2h ) @ V3t ) ) )
% 5.55/5.76 | ? [V4lt: $i] :
% 5.55/5.76 ( ( mem @ V4lt @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 & ( V0l1
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2h ) @ V4lt ) )
% 5.55/5.76 & ( V3t
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V4lt ) @ V1l2 ) ) ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EAPPEND__EQ__APPEND__MID,axiom,
% 5.55/5.76 ! [A_27a: del,V0l1: $i] :
% 5.55/5.76 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V1e: $i] :
% 5.55/5.76 ( ( mem @ V1e @ A_27a )
% 5.55/5.76 => ! [V2l2: $i] :
% 5.55/5.76 ( ( mem @ V2l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V3m1: $i] :
% 5.55/5.76 ( ( mem @ V3m1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V4m2: $i] :
% 5.55/5.76 ( ( mem @ V4m2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V0l1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1e ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) @ V2l2 )
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V3m1 ) @ V4m2 ) )
% 5.55/5.76 <=> ( ? [V5l: $i] :
% 5.55/5.76 ( ( mem @ V5l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 & ( V3m1
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V0l1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1e ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) @ V5l ) )
% 5.55/5.76 & ( V2l2
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V5l ) @ V4m2 ) ) )
% 5.55/5.76 | ? [V6l: $i] :
% 5.55/5.76 ( ( mem @ V6l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 & ( V0l1
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V3m1 ) @ V6l ) )
% 5.55/5.76 & ( V4m2
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V6l ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1e ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) @ V2l2 ) ) ) ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(ax_thm_2Elist_2ELUPDATE__def,axiom,
% 5.55/5.76 ! [A_27a: del] :
% 5.55/5.76 ( ! [V0e: $i] :
% 5.55/5.76 ( ( mem @ V0e @ A_27a )
% 5.55/5.76 => ! [V1n: tp__ty_2Enum_2Enum] :
% 5.55/5.76 ( ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELUPDATE @ A_27a ) @ V0e ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( c_2Elist_2ENIL @ A_27a ) )
% 5.55/5.76 = ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.76 & ! [V2e: $i] :
% 5.55/5.76 ( ( mem @ V2e @ A_27a )
% 5.55/5.76 => ! [V3x: $i] :
% 5.55/5.76 ( ( mem @ V3x @ A_27a )
% 5.55/5.76 => ! [V4l: $i] :
% 5.55/5.76 ( ( mem @ V4l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELUPDATE @ A_27a ) @ V2e ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3x ) @ V4l ) )
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2e ) @ V4l ) ) ) ) )
% 5.55/5.76 & ! [V5e: $i] :
% 5.55/5.76 ( ( mem @ V5e @ A_27a )
% 5.55/5.76 => ! [V6n: tp__ty_2Enum_2Enum,V7x: $i] :
% 5.55/5.76 ( ( mem @ V7x @ A_27a )
% 5.55/5.76 => ! [V8l: $i] :
% 5.55/5.76 ( ( mem @ V8l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELUPDATE @ A_27a ) @ V5e ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V6n ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V7x ) @ V8l ) )
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V7x ) @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELUPDATE @ A_27a ) @ V5e ) @ ( inj__ty_2Enum_2Enum @ V6n ) ) @ V8l ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ELUPDATE__NIL,axiom,
% 5.55/5.76 ! [A_27a: del,V0xs: $i] :
% 5.55/5.76 ( ( mem @ V0xs @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V1n: tp__ty_2Enum_2Enum,V2x: $i] :
% 5.55/5.76 ( ( mem @ V2x @ A_27a )
% 5.55/5.76 => ( ( ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELUPDATE @ A_27a ) @ V2x ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ V0xs )
% 5.55/5.76 = ( c_2Elist_2ENIL @ A_27a ) )
% 5.55/5.76 <=> ( V0xs
% 5.55/5.76 = ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ELUPDATE__SEM,axiom,
% 5.55/5.76 ! [A_27a: del] :
% 5.55/5.76 ( ! [V0e: $i] :
% 5.55/5.76 ( ( mem @ V0e @ A_27a )
% 5.55/5.76 => ! [V1n: tp__ty_2Enum_2Enum,V2l: $i] :
% 5.55/5.76 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELUPDATE @ A_27a ) @ V0e ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ V2l ) ) )
% 5.55/5.76 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2l ) ) ) ) )
% 5.55/5.76 & ! [V3e: $i] :
% 5.55/5.76 ( ( mem @ V3e @ A_27a )
% 5.55/5.76 => ! [V4n: tp__ty_2Enum_2Enum,V5l: $i] :
% 5.55/5.76 ( ( mem @ V5l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V6p: tp__ty_2Enum_2Enum] :
% 5.55/5.76 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V6p ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V5l ) ) )
% 5.55/5.76 => ( ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V6p ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELUPDATE @ A_27a ) @ V3e ) @ ( inj__ty_2Enum_2Enum @ V4n ) ) @ V5l ) )
% 5.55/5.76 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ A_27a ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V6p ) ) @ ( inj__ty_2Enum_2Enum @ V4n ) ) ) @ V3e ) @ ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V6p ) ) @ V5l ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EEL__LUPDATE,axiom,
% 5.55/5.76 ! [A_27a: del,V0ys: $i] :
% 5.55/5.76 ( ( mem @ V0ys @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V1x: $i] :
% 5.55/5.76 ( ( mem @ V1x @ A_27a )
% 5.55/5.76 => ! [V2i: tp__ty_2Enum_2Enum,V3k: tp__ty_2Enum_2Enum] :
% 5.55/5.76 ( ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V2i ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELUPDATE @ A_27a ) @ V1x ) @ ( inj__ty_2Enum_2Enum @ V3k ) ) @ V0ys ) )
% 5.55/5.76 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ A_27a ) @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V2i ) ) @ ( inj__ty_2Enum_2Enum @ V3k ) ) ) @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V3k ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0ys ) ) ) ) @ V1x ) @ ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V2i ) ) @ V0ys ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ELENGTH__LUPDATE,axiom,
% 5.55/5.76 ! [A_27a: del,V0x: $i] :
% 5.55/5.76 ( ( mem @ V0x @ A_27a )
% 5.55/5.76 => ! [V1n: tp__ty_2Enum_2Enum,V2ys: $i] :
% 5.55/5.76 ( ( mem @ V2ys @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELUPDATE @ A_27a ) @ V0x ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ V2ys ) ) )
% 5.55/5.76 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2ys ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ELUPDATE__LENGTH,axiom,
% 5.55/5.76 ! [A_27a: del,V0xs: $i] :
% 5.55/5.76 ( ( mem @ V0xs @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V1x: $i] :
% 5.55/5.76 ( ( mem @ V1x @ A_27a )
% 5.55/5.76 => ! [V2y: $i] :
% 5.55/5.76 ( ( mem @ V2y @ A_27a )
% 5.55/5.76 => ! [V3ys: $i] :
% 5.55/5.76 ( ( mem @ V3ys @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELUPDATE @ A_27a ) @ V1x ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0xs ) ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V0xs ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2y ) @ V3ys ) ) )
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V0xs ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1x ) @ V3ys ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ELUPDATE__SNOC,axiom,
% 5.55/5.76 ! [A_27a: del,V0ys: $i] :
% 5.55/5.76 ( ( mem @ V0ys @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V1k: tp__ty_2Enum_2Enum,V2x: $i] :
% 5.55/5.76 ( ( mem @ V2x @ A_27a )
% 5.55/5.76 => ! [V3y: $i] :
% 5.55/5.76 ( ( mem @ V3y @ A_27a )
% 5.55/5.76 => ( ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELUPDATE @ A_27a ) @ V2x ) @ ( inj__ty_2Enum_2Enum @ V1k ) ) @ ( ap @ ( ap @ ( c_2Elist_2ESNOC @ A_27a ) @ V3y ) @ V0ys ) )
% 5.55/5.76 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V1k ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0ys ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ESNOC @ A_27a ) @ V2x ) @ V0ys ) ) @ ( ap @ ( ap @ ( c_2Elist_2ESNOC @ A_27a ) @ V3y ) @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELUPDATE @ A_27a ) @ V2x ) @ ( inj__ty_2Enum_2Enum @ V1k ) ) @ V0ys ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EMEM__LUPDATE__E,axiom,
% 5.55/5.76 ! [A_27a: del,V0l: $i] :
% 5.55/5.76 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V1x: $i] :
% 5.55/5.76 ( ( mem @ V1x @ A_27a )
% 5.55/5.76 => ! [V2y: $i] :
% 5.55/5.76 ( ( mem @ V2y @ A_27a )
% 5.55/5.76 => ! [V3i: tp__ty_2Enum_2Enum] :
% 5.55/5.76 ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V1x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELUPDATE @ A_27a ) @ V2y ) @ ( inj__ty_2Enum_2Enum @ V3i ) ) @ V0l ) ) ) )
% 5.55/5.76 => ( ( V1x = V2y )
% 5.55/5.76 | ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V1x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V0l ) ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2EMEM__LUPDATE,axiom,
% 5.55/5.76 ! [A_27a: del,V0l: $i] :
% 5.55/5.76 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ! [V1x: $i] :
% 5.55/5.76 ( ( mem @ V1x @ A_27a )
% 5.55/5.76 => ! [V2y: $i] :
% 5.55/5.76 ( ( mem @ V2y @ A_27a )
% 5.55/5.76 => ! [V3i: tp__ty_2Enum_2Enum] :
% 5.55/5.76 ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V1x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELUPDATE @ A_27a ) @ V2y ) @ ( inj__ty_2Enum_2Enum @ V3i ) ) @ V0l ) ) ) )
% 5.55/5.76 <=> ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V3i ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.76 & ( V1x = V2y ) )
% 5.55/5.76 | ? [V4j: tp__ty_2Enum_2Enum] :
% 5.55/5.76 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V4j ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.76 & ( V3i != V4j )
% 5.55/5.76 & ( ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V4j ) ) @ V0l )
% 5.55/5.76 = V1x ) ) ) ) ) ) ) ).
% 5.55/5.76
% 5.55/5.76 thf(conj_thm_2Elist_2ELUPDATE__compute,axiom,
% 5.55/5.76 ! [A_27a: del] :
% 5.55/5.76 ( ! [V0e: $i] :
% 5.55/5.76 ( ( mem @ V0e @ A_27a )
% 5.55/5.76 => ! [V1n: tp__ty_2Enum_2Enum] :
% 5.55/5.76 ( ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELUPDATE @ A_27a ) @ V0e ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( c_2Elist_2ENIL @ A_27a ) )
% 5.55/5.76 = ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.76 & ! [V2e: $i] :
% 5.55/5.76 ( ( mem @ V2e @ A_27a )
% 5.55/5.76 => ! [V3x: $i] :
% 5.55/5.76 ( ( mem @ V3x @ A_27a )
% 5.55/5.76 => ! [V4l: $i] :
% 5.55/5.76 ( ( mem @ V4l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELUPDATE @ A_27a ) @ V2e ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3x ) @ V4l ) )
% 5.55/5.76 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2e ) @ V4l ) ) ) ) )
% 5.55/5.76 & ! [V5e: $i] :
% 5.55/5.76 ( ( mem @ V5e @ A_27a )
% 5.55/5.76 => ! [V6n: tp__ty_2Enum_2Enum,V7x: $i] :
% 5.55/5.76 ( ( mem @ V7x @ A_27a )
% 5.55/5.76 => ! [V8l: $i] :
% 5.55/5.76 ( ( mem @ V8l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.76 => ( ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELUPDATE @ A_27a ) @ V5e ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V6n ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V7x ) @ V8l ) )
% 5.55/5.77 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V7x ) @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELUPDATE @ A_27a ) @ V5e ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V6n ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ V8l ) ) ) ) ) )
% 5.55/5.77 & ! [V9e: $i] :
% 5.55/5.77 ( ( mem @ V9e @ A_27a )
% 5.55/5.77 => ! [V10n: tp__ty_2Enum_2Enum,V11x: $i] :
% 5.55/5.77 ( ( mem @ V11x @ A_27a )
% 5.55/5.77 => ! [V12l: $i] :
% 5.55/5.77 ( ( mem @ V12l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELUPDATE @ A_27a ) @ V9e ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V10n ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V11x ) @ V12l ) )
% 5.55/5.77 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V11x ) @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELUPDATE @ A_27a ) @ V9e ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V10n ) ) ) ) @ V12l ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2ELUPDATE__MAP,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,V0x: $i] :
% 5.55/5.77 ( ( mem @ V0x @ A_27a )
% 5.55/5.77 => ! [V1n: tp__ty_2Enum_2Enum,V2l: $i] :
% 5.55/5.77 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ! [V3f: $i] :
% 5.55/5.77 ( ( mem @ V3f @ ( arr @ A_27a @ A_27b ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27a @ A_27b ) @ V3f ) @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELUPDATE @ A_27a ) @ V0x ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ V2l ) )
% 5.55/5.77 = ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELUPDATE @ A_27b ) @ ( ap @ V3f @ V0x ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27a @ A_27b ) @ V3f ) @ V2l ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(ax_thm_2Elist_2EEVERYi__def,axiom,
% 5.55/5.77 ! [A_27a: del] :
% 5.55/5.77 ( ! [V0P: $i] :
% 5.55/5.77 ( ( mem @ V0P @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ bool ) ) )
% 5.55/5.77 => ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EEVERYi @ A_27a ) @ V0P ) @ ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.77 <=> $true ) )
% 5.55/5.77 & ! [V1P: $i] :
% 5.55/5.77 ( ( mem @ V1P @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ bool ) ) )
% 5.55/5.77 => ! [V2h: $i] :
% 5.55/5.77 ( ( mem @ V2h @ A_27a )
% 5.55/5.77 => ! [V3t: $i] :
% 5.55/5.77 ( ( mem @ V3t @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EEVERYi @ A_27a ) @ V1P ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2h ) @ V3t ) ) )
% 5.55/5.77 <=> ( ( p @ ( ap @ ( ap @ V1P @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ V2h ) )
% 5.55/5.77 & ( p @ ( ap @ ( ap @ ( c_2Elist_2EEVERYi @ A_27a ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ty_2Enum_2Enum @ ( arr @ A_27a @ bool ) @ ty_2Enum_2Enum ) @ V1P ) @ c_2Enum_2ESUC ) ) @ V3t ) ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(ax_thm_2Elist_2EsplitAtPki__def,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del] :
% 5.55/5.77 ( ! [V0P: $i] :
% 5.55/5.77 ( ( mem @ V0P @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27b @ bool ) ) )
% 5.55/5.77 => ! [V1k: $i] :
% 5.55/5.77 ( ( mem @ V1k @ ( arr @ ( ty_2Elist_2Elist @ A_27b ) @ ( arr @ ( ty_2Elist_2Elist @ A_27b ) @ A_27a ) ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( ap @ ( c_2Elist_2EsplitAtPki @ A_27a @ A_27b ) @ V0P ) @ V1k ) @ ( c_2Elist_2ENIL @ A_27b ) )
% 5.55/5.77 = ( ap @ ( ap @ V1k @ ( c_2Elist_2ENIL @ A_27b ) ) @ ( c_2Elist_2ENIL @ A_27b ) ) ) ) )
% 5.55/5.77 & ! [V2P: $i] :
% 5.55/5.77 ( ( mem @ V2P @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27b @ bool ) ) )
% 5.55/5.77 => ! [V3k: $i] :
% 5.55/5.77 ( ( mem @ V3k @ ( arr @ ( ty_2Elist_2Elist @ A_27b ) @ ( arr @ ( ty_2Elist_2Elist @ A_27b ) @ A_27a ) ) )
% 5.55/5.77 => ! [V4h: $i] :
% 5.55/5.77 ( ( mem @ V4h @ A_27b )
% 5.55/5.77 => ! [V5t: $i] :
% 5.55/5.77 ( ( mem @ V5t @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( ap @ ( c_2Elist_2EsplitAtPki @ A_27a @ A_27b ) @ V2P ) @ V3k ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27b ) @ V4h ) @ V5t ) )
% 5.55/5.77 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ A_27a ) @ ( ap @ ( ap @ V2P @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ V4h ) ) @ ( ap @ ( ap @ V3k @ ( c_2Elist_2ENIL @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27b ) @ V4h ) @ V5t ) ) )
% 5.55/5.77 @ ( ap
% 5.55/5.77 @ ( ap @ ( ap @ ( c_2Elist_2EsplitAtPki @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ty_2Enum_2Enum @ ( arr @ A_27b @ bool ) @ ty_2Enum_2Enum ) @ V2P ) @ c_2Enum_2ESUC ) )
% 5.55/5.77 @ ( lam @ ( ty_2Elist_2Elist @ A_27b )
% 5.55/5.77 @ ^ [V6p: $i] :
% 5.55/5.77 ( lam @ ( ty_2Elist_2Elist @ A_27b )
% 5.55/5.77 @ ^ [V7s: $i] : ( ap @ ( ap @ V3k @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27b ) @ V4h ) @ V6p ) ) @ V7s ) ) ) )
% 5.55/5.77 @ V5t ) ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2EsplitAtPki__APPEND,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,V0l1: $i] :
% 5.55/5.77 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ! [V1l2: $i] :
% 5.55/5.77 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ! [V2P: $i] :
% 5.55/5.77 ( ( mem @ V2P @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ bool ) ) )
% 5.55/5.77 => ! [V3k: $i] :
% 5.55/5.77 ( ( mem @ V3k @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ A_27b ) ) )
% 5.55/5.77 => ( ( ( p
% 5.55/5.77 @ ( ap
% 5.55/5.77 @ ( ap @ ( c_2Elist_2EEVERYi @ A_27a )
% 5.55/5.77 @ ( lam @ ty_2Enum_2Enum
% 5.55/5.77 @ ^ [V4i: $i] : ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27a @ bool @ bool ) @ c_2Ebool_2E_7E ) @ ( ap @ V2P @ V4i ) ) ) )
% 5.55/5.77 @ V0l1 ) )
% 5.55/5.77 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l2 ) ) )
% 5.55/5.77 => ( p @ ( ap @ ( ap @ V2P @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l1 ) ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ V1l2 ) ) ) ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( ap @ ( c_2Elist_2EsplitAtPki @ A_27b @ A_27a ) @ V2P ) @ V3k ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V0l1 ) @ V1l2 ) )
% 5.55/5.77 = ( ap @ ( ap @ V3k @ V0l1 ) @ V1l2 ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2EsplitAtPki__EQN,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.55/5.77 ( ( mem @ V0P @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27b @ bool ) ) )
% 5.55/5.77 => ! [V1k: $i] :
% 5.55/5.77 ( ( mem @ V1k @ ( arr @ ( ty_2Elist_2Elist @ A_27b ) @ ( arr @ ( ty_2Elist_2Elist @ A_27b ) @ A_27a ) ) )
% 5.55/5.77 => ! [V2l: $i] :
% 5.55/5.77 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( ap @ ( c_2Elist_2EsplitAtPki @ A_27a @ A_27b ) @ V0P ) @ V1k ) @ V2l )
% 5.55/5.77 = ( ap
% 5.55/5.77 @ ( ap
% 5.55/5.77 @ ( ap @ ( c_2Eoption_2Eoption__CASE @ ty_2Enum_2Enum @ A_27a )
% 5.55/5.77 @ ( ap @ c_2Ewhile_2EOLEAST
% 5.55/5.77 @ ( lam @ ty_2Enum_2Enum
% 5.55/5.77 @ ^ [V3i: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ V3i ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27b ) @ V2l ) ) ) @ ( ap @ ( ap @ V0P @ V3i ) @ ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27b ) @ V3i ) @ V2l ) ) ) ) ) )
% 5.55/5.77 @ ( ap @ ( ap @ V1k @ V2l ) @ ( c_2Elist_2ENIL @ A_27b ) ) )
% 5.55/5.77 @ ( lam @ ty_2Enum_2Enum
% 5.55/5.77 @ ^ [V4i: $i] : ( ap @ ( ap @ V1k @ ( ap @ ( ap @ ( c_2Elist_2ETAKE @ A_27b ) @ V4i ) @ V2l ) ) @ ( ap @ ( ap @ ( c_2Elist_2EDROP @ A_27b ) @ V4i ) @ V2l ) ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2ETAKE__LENGTH__TOO__LONG,axiom,
% 5.55/5.77 ! [A_27a: del,V0l: $i] :
% 5.55/5.77 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ! [V1n: tp__ty_2Enum_2Enum] :
% 5.55/5.77 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2Elist_2ETAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ V0l )
% 5.55/5.77 = V0l ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2EDROP__LENGTH__TOO__LONG,axiom,
% 5.55/5.77 ! [A_27a: del,V0l: $i] :
% 5.55/5.77 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ! [V1n: tp__ty_2Enum_2Enum] :
% 5.55/5.77 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2Elist_2EDROP @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ V0l )
% 5.55/5.77 = ( c_2Elist_2ENIL @ A_27a ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2ETAKE__splitAtPki,axiom,
% 5.55/5.77 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1l: $i] :
% 5.55/5.77 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2Elist_2ETAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1l )
% 5.55/5.77 = ( ap @ ( ap @ ( ap @ ( c_2Elist_2EsplitAtPki @ ( ty_2Elist_2Elist @ A_27a ) @ A_27a ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ty_2Enum_2Enum @ ( arr @ A_27a @ bool ) @ bool ) @ ( c_2Ecombin_2EK @ bool @ A_27a ) ) @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) @ ( c_2Ecombin_2EK @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) ) @ V1l ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2EDROP__splitAtPki,axiom,
% 5.55/5.77 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1l: $i] :
% 5.55/5.77 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2Elist_2EDROP @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1l )
% 5.55/5.77 = ( ap @ ( ap @ ( ap @ ( c_2Elist_2EsplitAtPki @ ( ty_2Elist_2Elist @ A_27a ) @ A_27a ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ty_2Enum_2Enum @ ( arr @ A_27a @ bool ) @ bool ) @ ( c_2Ecombin_2EK @ bool @ A_27a ) ) @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) @ ( ap @ ( c_2Ecombin_2EK @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( c_2Ecombin_2EI @ ( ty_2Elist_2Elist @ A_27a ) ) ) ) @ V1l ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(ax_thm_2Elist_2ELIST__BIND__def,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,V0l: $i] :
% 5.55/5.77 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.77 => ! [V1f: $i] :
% 5.55/5.77 ( ( mem @ V1f @ ( arr @ A_27b @ ( ty_2Elist_2Elist @ A_27a ) ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2Elist_2ELIST__BIND @ A_27a @ A_27b ) @ V0l ) @ V1f )
% 5.55/5.77 = ( ap @ ( c_2Elist_2EFLAT @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27b @ ( ty_2Elist_2Elist @ A_27a ) ) @ V1f ) @ V0l ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2ELIST__BIND__THM,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.55/5.77 ( ( mem @ V0f @ ( arr @ A_27b @ ( ty_2Elist_2Elist @ A_27a ) ) )
% 5.55/5.77 => ! [V1h: $i] :
% 5.55/5.77 ( ( mem @ V1h @ A_27b )
% 5.55/5.77 => ! [V2t: $i] :
% 5.55/5.77 ( ( mem @ V2t @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.77 => ( ( ( ap @ ( ap @ ( c_2Elist_2ELIST__BIND @ A_27a @ A_27b ) @ ( c_2Elist_2ENIL @ A_27b ) ) @ V0f )
% 5.55/5.77 = ( c_2Elist_2ENIL @ A_27a ) )
% 5.55/5.77 & ( ( ap @ ( ap @ ( c_2Elist_2ELIST__BIND @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27b ) @ V1h ) @ V2t ) ) @ V0f )
% 5.55/5.77 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ ( ap @ V0f @ V1h ) ) @ ( ap @ ( ap @ ( c_2Elist_2ELIST__BIND @ A_27a @ A_27b ) @ V2t ) @ V0f ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(ax_thm_2Elist_2ELIST__IGNORE__BIND__def,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,V0m1: $i] :
% 5.55/5.77 ( ( mem @ V0m1 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.77 => ! [V1m2: $i] :
% 5.55/5.77 ( ( mem @ V1m2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2Elist_2ELIST__IGNORE__BIND @ A_27a @ A_27b ) @ V0m1 ) @ V1m2 )
% 5.55/5.77 = ( ap @ ( ap @ ( c_2Elist_2ELIST__BIND @ A_27a @ A_27b ) @ V0m1 ) @ ( ap @ ( c_2Ecombin_2EK @ ( ty_2Elist_2Elist @ A_27a ) @ A_27b ) @ V1m2 ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2ELIST__BIND__ID,axiom,
% 5.55/5.77 ! [A_27a: del,V0l: $i] :
% 5.55/5.77 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ ( ty_2Elist_2Elist @ A_27a ) ) )
% 5.55/5.77 => ( ( ( ap @ ( ap @ ( c_2Elist_2ELIST__BIND @ A_27a @ ( ty_2Elist_2Elist @ A_27a ) ) @ V0l )
% 5.55/5.77 @ ( lam @ ( ty_2Elist_2Elist @ A_27a )
% 5.55/5.77 @ ^ [V1x: $i] : V1x ) )
% 5.55/5.77 = ( ap @ ( c_2Elist_2EFLAT @ A_27a ) @ V0l ) )
% 5.55/5.77 & ( ( ap @ ( ap @ ( c_2Elist_2ELIST__BIND @ A_27a @ ( ty_2Elist_2Elist @ A_27a ) ) @ V0l ) @ ( c_2Ecombin_2EI @ ( ty_2Elist_2Elist @ A_27a ) ) )
% 5.55/5.77 = ( ap @ ( c_2Elist_2EFLAT @ A_27a ) @ V0l ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2ELIST__BIND__APPEND,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,V0l1: $i] :
% 5.55/5.77 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.77 => ! [V1l2: $i] :
% 5.55/5.77 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.77 => ! [V2f: $i] :
% 5.55/5.77 ( ( mem @ V2f @ ( arr @ A_27b @ ( ty_2Elist_2Elist @ A_27a ) ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2Elist_2ELIST__BIND @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27b ) @ V0l1 ) @ V1l2 ) ) @ V2f )
% 5.55/5.77 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ELIST__BIND @ A_27a @ A_27b ) @ V0l1 ) @ V2f ) ) @ ( ap @ ( ap @ ( c_2Elist_2ELIST__BIND @ A_27a @ A_27b ) @ V1l2 ) @ V2f ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2ELIST__BIND__MAP,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.55/5.77 ( ( mem @ V0f @ ( arr @ A_27c @ A_27b ) )
% 5.55/5.77 => ! [V1l: $i] :
% 5.55/5.77 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27c ) )
% 5.55/5.77 => ! [V2g: $i] :
% 5.55/5.77 ( ( mem @ V2g @ ( arr @ A_27b @ ( ty_2Elist_2Elist @ A_27a ) ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2Elist_2ELIST__BIND @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27c @ A_27b ) @ V0f ) @ V1l ) ) @ V2g )
% 5.55/5.77 = ( ap @ ( ap @ ( c_2Elist_2ELIST__BIND @ A_27a @ A_27c ) @ V1l ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27c @ ( ty_2Elist_2Elist @ A_27a ) @ A_27b ) @ V2g ) @ V0f ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2EMAP__LIST__BIND,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.55/5.77 ( ( mem @ V0f @ ( arr @ A_27b @ A_27a ) )
% 5.55/5.77 => ! [V1l: $i] :
% 5.55/5.77 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27c ) )
% 5.55/5.77 => ! [V2g: $i] :
% 5.55/5.77 ( ( mem @ V2g @ ( arr @ A_27c @ ( ty_2Elist_2Elist @ A_27b ) ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27b @ A_27a ) @ V0f ) @ ( ap @ ( ap @ ( c_2Elist_2ELIST__BIND @ A_27b @ A_27c ) @ V1l ) @ V2g ) )
% 5.55/5.77 = ( ap @ ( ap @ ( c_2Elist_2ELIST__BIND @ A_27a @ A_27c ) @ V1l ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27c @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27b ) ) @ ( ap @ ( c_2Elist_2EMAP @ A_27b @ A_27a ) @ V0f ) ) @ V2g ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2ELIST__BIND__LIST__BIND,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,A_27c: del,V0l: $i] :
% 5.55/5.77 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27c ) )
% 5.55/5.77 => ! [V1g: $i] :
% 5.55/5.77 ( ( mem @ V1g @ ( arr @ A_27c @ ( ty_2Elist_2Elist @ A_27b ) ) )
% 5.55/5.77 => ! [V2f: $i] :
% 5.55/5.77 ( ( mem @ V2f @ ( arr @ A_27b @ ( ty_2Elist_2Elist @ A_27a ) ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2Elist_2ELIST__BIND @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Elist_2ELIST__BIND @ A_27b @ A_27c ) @ V0l ) @ V1g ) ) @ V2f )
% 5.55/5.77 = ( ap @ ( ap @ ( c_2Elist_2ELIST__BIND @ A_27a @ A_27c ) @ V0l ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27c @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Ecombin_2EC @ ( ty_2Elist_2Elist @ A_27b ) @ ( arr @ A_27b @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( c_2Elist_2ELIST__BIND @ A_27a @ A_27b ) ) @ V2f ) ) @ V1g ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(ax_thm_2Elist_2ELIST__GUARD__def,axiom,
% 5.55/5.77 ! [V0b: $i] :
% 5.55/5.77 ( ( mem @ V0b @ bool )
% 5.55/5.77 => ( ( surj__c_ty_2Elist_2Elist_ty_2Eone_2Eone @ ( ap @ c_2Elist_2ELIST__GUARD @ V0b ) )
% 5.55/5.77 = ( surj__c_ty_2Elist_2Elist_ty_2Eone_2Eone @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Elist_2Elist @ ty_2Eone_2Eone ) ) @ V0b ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ty_2Eone_2Eone ) @ ( inj__ty_2Eone_2Eone @ fo__c_2Eone_2Eone ) ) @ ( c_2Elist_2ENIL @ ty_2Eone_2Eone ) ) ) @ ( c_2Elist_2ENIL @ ty_2Eone_2Eone ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2ESINGL__LIST__APPLY__L,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,V0x: $i] :
% 5.55/5.77 ( ( mem @ V0x @ A_27b )
% 5.55/5.77 => ! [V1f: $i] :
% 5.55/5.77 ( ( mem @ V1f @ ( arr @ A_27b @ ( ty_2Elist_2Elist @ A_27a ) ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2Elist_2ELIST__BIND @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27b ) @ V0x ) @ ( c_2Elist_2ENIL @ A_27b ) ) ) @ V1f )
% 5.55/5.77 = ( ap @ V1f @ V0x ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2ESINGL__LIST__APPLY__R,axiom,
% 5.55/5.77 ! [A_27a: del,V0l: $i] :
% 5.55/5.77 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2Elist_2ELIST__BIND @ A_27a @ A_27a ) @ V0l )
% 5.55/5.77 @ ( lam @ A_27a
% 5.55/5.77 @ ^ [V1x: $i] : ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1x ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) )
% 5.55/5.77 = V0l ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(ax_thm_2Elist_2ELIST__APPLY__def,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,V0fs: $i] :
% 5.55/5.77 ( ( mem @ V0fs @ ( ty_2Elist_2Elist @ ( arr @ A_27b @ A_27a ) ) )
% 5.55/5.77 => ! [V1xs: $i] :
% 5.55/5.77 ( ( mem @ V1xs @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2Elist_2ELIST__APPLY @ A_27a @ A_27b ) @ V0fs ) @ V1xs )
% 5.55/5.77 = ( ap @ ( ap @ ( c_2Elist_2ELIST__BIND @ A_27a @ ( arr @ A_27b @ A_27a ) ) @ V0fs ) @ ( ap @ ( ap @ ( c_2Ecombin_2EC @ ( arr @ A_27b @ A_27a ) @ ( ty_2Elist_2Elist @ A_27b ) @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( c_2Elist_2EMAP @ A_27b @ A_27a ) ) @ V1xs ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(ax_thm_2Elist_2ELIST__LIFT2__def,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.55/5.77 ( ( mem @ V0f @ ( arr @ A_27b @ ( arr @ A_27c @ A_27a ) ) )
% 5.55/5.77 => ! [V1xs: $i] :
% 5.55/5.77 ( ( mem @ V1xs @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.77 => ! [V2ys: $i] :
% 5.55/5.77 ( ( mem @ V2ys @ ( ty_2Elist_2Elist @ A_27c ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELIST__LIFT2 @ A_27a @ A_27b @ A_27c ) @ V0f ) @ V1xs ) @ V2ys )
% 5.55/5.77 = ( ap @ ( ap @ ( c_2Elist_2ELIST__APPLY @ A_27a @ A_27c ) @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27b @ ( arr @ A_27c @ A_27a ) ) @ V0f ) @ V1xs ) ) @ V2ys ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2ESINGL__APPLY__MAP,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.55/5.77 ( ( mem @ V0f @ ( arr @ A_27b @ A_27a ) )
% 5.55/5.77 => ! [V1l: $i] :
% 5.55/5.77 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2Elist_2ELIST__APPLY @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ( arr @ A_27b @ A_27a ) ) @ V0f ) @ ( c_2Elist_2ENIL @ ( arr @ A_27b @ A_27a ) ) ) ) @ V1l )
% 5.55/5.77 = ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27b @ A_27a ) @ V0f ) @ V1l ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2ESINGL__SINGL__APPLY,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.55/5.77 ( ( mem @ V0f @ ( arr @ A_27b @ A_27a ) )
% 5.55/5.77 => ! [V1x: $i] :
% 5.55/5.77 ( ( mem @ V1x @ A_27b )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2Elist_2ELIST__APPLY @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ( arr @ A_27b @ A_27a ) ) @ V0f ) @ ( c_2Elist_2ENIL @ ( arr @ A_27b @ A_27a ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27b ) @ V1x ) @ ( c_2Elist_2ENIL @ A_27b ) ) )
% 5.55/5.77 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ V0f @ V1x ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2ESINGL__APPLY__PERMUTE,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,V0fs: $i] :
% 5.55/5.77 ( ( mem @ V0fs @ ( ty_2Elist_2Elist @ ( arr @ A_27b @ A_27a ) ) )
% 5.55/5.77 => ! [V1x: $i] :
% 5.55/5.77 ( ( mem @ V1x @ A_27b )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2Elist_2ELIST__APPLY @ A_27a @ A_27b ) @ V0fs ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27b ) @ V1x ) @ ( c_2Elist_2ENIL @ A_27b ) ) )
% 5.55/5.77 = ( ap
% 5.55/5.77 @ ( ap @ ( c_2Elist_2ELIST__APPLY @ A_27a @ ( arr @ A_27b @ A_27a ) )
% 5.55/5.77 @ ( ap
% 5.55/5.77 @ ( ap @ ( c_2Elist_2ECONS @ ( arr @ ( arr @ A_27b @ A_27a ) @ A_27a ) )
% 5.55/5.77 @ ( lam @ ( arr @ A_27b @ A_27a )
% 5.55/5.77 @ ^ [V2f: $i] : ( ap @ V2f @ V1x ) ) )
% 5.55/5.77 @ ( c_2Elist_2ENIL @ ( arr @ ( arr @ A_27b @ A_27a ) @ A_27a ) ) ) )
% 5.55/5.77 @ V0fs ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2EMAP__FLAT,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.55/5.77 ( ( mem @ V0f @ ( arr @ A_27b @ A_27a ) )
% 5.55/5.77 => ! [V1l: $i] :
% 5.55/5.77 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ ( ty_2Elist_2Elist @ A_27b ) ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27b @ A_27a ) @ V0f ) @ ( ap @ ( c_2Elist_2EFLAT @ A_27b ) @ V1l ) )
% 5.55/5.77 = ( ap @ ( c_2Elist_2EFLAT @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ ( ty_2Elist_2Elist @ A_27b ) @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ap @ ( c_2Elist_2EMAP @ A_27b @ A_27a ) @ V0f ) ) @ V1l ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2ELIST__APPLY__o,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,A_27c: del,V0fs: $i] :
% 5.55/5.77 ( ( mem @ V0fs @ ( ty_2Elist_2Elist @ ( arr @ A_27c @ A_27a ) ) )
% 5.55/5.77 => ! [V1gs: $i] :
% 5.55/5.77 ( ( mem @ V1gs @ ( ty_2Elist_2Elist @ ( arr @ A_27b @ A_27c ) ) )
% 5.55/5.77 => ! [V2xs: $i] :
% 5.55/5.77 ( ( mem @ V2xs @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2Elist_2ELIST__APPLY @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Elist_2ELIST__APPLY @ ( arr @ A_27b @ A_27a ) @ ( arr @ A_27b @ A_27c ) ) @ ( ap @ ( ap @ ( c_2Elist_2ELIST__APPLY @ ( arr @ ( arr @ A_27b @ A_27c ) @ ( arr @ A_27b @ A_27a ) ) @ ( arr @ A_27c @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ( arr @ ( arr @ A_27c @ A_27a ) @ ( arr @ ( arr @ A_27b @ A_27c ) @ ( arr @ A_27b @ A_27a ) ) ) ) @ ( c_2Ecombin_2Eo @ A_27b @ A_27a @ A_27c ) ) @ ( c_2Elist_2ENIL @ ( arr @ ( arr @ A_27c @ A_27a ) @ ( arr @ ( arr @ A_27b @ A_27c ) @ ( arr @ A_27b @ A_27a ) ) ) ) ) ) @ V0fs ) ) @ V1gs ) ) @ V2xs )
% 5.55/5.77 = ( ap @ ( ap @ ( c_2Elist_2ELIST__APPLY @ A_27a @ A_27c ) @ V0fs ) @ ( ap @ ( ap @ ( c_2Elist_2ELIST__APPLY @ A_27c @ A_27b ) @ V1gs ) @ V2xs ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(ax_thm_2Elist_2ESHORTLEX__def,axiom,
% 5.55/5.77 ! [A_27a: del] :
% 5.55/5.77 ( ! [V0R: $i] :
% 5.55/5.77 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.55/5.77 => ! [V1l2: $i] :
% 5.55/5.77 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ESHORTLEX @ A_27a ) @ V0R ) @ ( c_2Elist_2ENIL @ A_27a ) ) @ V1l2 ) )
% 5.55/5.77 <=> ( V1l2
% 5.55/5.77 != ( c_2Elist_2ENIL @ A_27a ) ) ) ) )
% 5.55/5.77 & ! [V2R: $i] :
% 5.55/5.77 ( ( mem @ V2R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.55/5.77 => ! [V3h1: $i] :
% 5.55/5.77 ( ( mem @ V3h1 @ A_27a )
% 5.55/5.77 => ! [V4t1: $i] :
% 5.55/5.77 ( ( mem @ V4t1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ! [V5l2: $i] :
% 5.55/5.77 ( ( mem @ V5l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ESHORTLEX @ A_27a ) @ V2R ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3h1 ) @ V4t1 ) ) @ V5l2 ) )
% 5.55/5.77 <=> ( p
% 5.55/5.77 @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2Elist__CASE @ A_27a @ bool ) @ V5l2 ) @ c_2Ebool_2EF )
% 5.55/5.77 @ ( lam @ A_27a
% 5.55/5.77 @ ^ [V6h2: $i] :
% 5.55/5.77 ( lam @ ( ty_2Elist_2Elist @ A_27a )
% 5.55/5.77 @ ^ [V7t2: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ bool ) @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4t1 ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V7t2 ) ) ) @ c_2Ebool_2ET ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ bool ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4t1 ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V7t2 ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ bool ) @ ( ap @ ( ap @ V2R @ V3h1 ) @ V6h2 ) ) @ c_2Ebool_2ET ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ bool ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V3h1 ) @ V6h2 ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ESHORTLEX @ A_27a ) @ V2R ) @ V4t1 ) @ V7t2 ) ) @ c_2Ebool_2EF ) ) ) @ c_2Ebool_2EF ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2ESHORTLEX__THM,axiom,
% 5.55/5.77 ! [A_27a: del,V0R: $i] :
% 5.55/5.77 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.55/5.77 => ! [V1h1: $i] :
% 5.55/5.77 ( ( mem @ V1h1 @ A_27a )
% 5.55/5.77 => ! [V2t1: $i] :
% 5.55/5.77 ( ( mem @ V2t1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ! [V3h2: $i] :
% 5.55/5.77 ( ( mem @ V3h2 @ A_27a )
% 5.55/5.77 => ! [V4t2: $i] :
% 5.55/5.77 ( ( mem @ V4t2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ( ~ ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ESHORTLEX @ A_27a ) @ V0R ) @ ( c_2Elist_2ENIL @ A_27a ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.77 & ~ ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ESHORTLEX @ A_27a ) @ V0R ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1h1 ) @ V2t1 ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.77 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ESHORTLEX @ A_27a ) @ V0R ) @ ( c_2Elist_2ENIL @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3h2 ) @ V4t2 ) ) )
% 5.55/5.77 & ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ESHORTLEX @ A_27a ) @ V0R ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1h1 ) @ V2t1 ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3h2 ) @ V4t2 ) ) )
% 5.55/5.77 <=> ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2t1 ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4t2 ) ) )
% 5.55/5.77 | ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2t1 ) )
% 5.55/5.77 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4t2 ) ) )
% 5.55/5.77 & ( ( p @ ( ap @ ( ap @ V0R @ V1h1 ) @ V3h2 ) )
% 5.55/5.77 | ( ( V1h1 = V3h2 )
% 5.55/5.77 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ESHORTLEX @ A_27a ) @ V0R ) @ V2t1 ) @ V4t2 ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2ESHORTLEX__MONO,axiom,
% 5.55/5.77 ! [A_27a: del,V0R1: $i] :
% 5.55/5.77 ( ( mem @ V0R1 @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.55/5.77 => ! [V1R2: $i] :
% 5.55/5.77 ( ( mem @ V1R2 @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.55/5.77 => ! [V2x: $i] :
% 5.55/5.77 ( ( mem @ V2x @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ! [V3y: $i] :
% 5.55/5.77 ( ( mem @ V3y @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ( ! [V4x: $i] :
% 5.55/5.77 ( ( mem @ V4x @ A_27a )
% 5.55/5.77 => ! [V5y: $i] :
% 5.55/5.77 ( ( mem @ V5y @ A_27a )
% 5.55/5.77 => ( ( p @ ( ap @ ( ap @ V0R1 @ V4x ) @ V5y ) )
% 5.55/5.77 => ( p @ ( ap @ ( ap @ V1R2 @ V4x ) @ V5y ) ) ) ) )
% 5.55/5.77 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ESHORTLEX @ A_27a ) @ V0R1 ) @ V2x ) @ V3y ) )
% 5.55/5.77 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ESHORTLEX @ A_27a ) @ V1R2 ) @ V2x ) @ V3y ) ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2ESHORTLEX__NIL2,axiom,
% 5.55/5.77 ! [A_27a: del,V0R: $i] :
% 5.55/5.77 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.55/5.77 => ! [V1l: $i] :
% 5.55/5.77 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ~ ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ESHORTLEX @ A_27a ) @ V0R ) @ V1l ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2ESHORTLEX__transitive,axiom,
% 5.55/5.77 ! [A_27a: del,V0R: $i] :
% 5.55/5.77 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.55/5.77 => ( ( p @ ( ap @ ( c_2Erelation_2Etransitive @ A_27a ) @ V0R ) )
% 5.55/5.77 => ( p @ ( ap @ ( c_2Erelation_2Etransitive @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ap @ ( c_2Elist_2ESHORTLEX @ A_27a ) @ V0R ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2ELENGTH__LT__SHORTLEX,axiom,
% 5.55/5.77 ! [A_27a: del,V0R: $i] :
% 5.55/5.77 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.55/5.77 => ! [V1l1: $i] :
% 5.55/5.77 ( ( mem @ V1l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ! [V2l2: $i] :
% 5.55/5.77 ( ( mem @ V2l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l1 ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2l2 ) ) )
% 5.55/5.77 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ESHORTLEX @ A_27a ) @ V0R ) @ V1l1 ) @ V2l2 ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2ESHORTLEX__LENGTH__LE,axiom,
% 5.55/5.77 ! [A_27a: del,V0R: $i] :
% 5.55/5.77 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.55/5.77 => ! [V1l1: $i] :
% 5.55/5.77 ( ( mem @ V1l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ! [V2l2: $i] :
% 5.55/5.77 ( ( mem @ V2l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ESHORTLEX @ A_27a ) @ V0R ) @ V1l1 ) @ V2l2 ) )
% 5.55/5.77 => ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l1 ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2l2 ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2ESHORTLEX__total,axiom,
% 5.55/5.77 ! [A_27a: del,V0R: $i] :
% 5.55/5.77 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.55/5.77 => ( ( p @ ( ap @ ( c_2Erelation_2Etotal @ A_27a ) @ ( ap @ ( c_2Erelation_2ERC @ A_27a ) @ V0R ) ) )
% 5.55/5.77 => ( p @ ( ap @ ( c_2Erelation_2Etotal @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ap @ ( c_2Erelation_2ERC @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ap @ ( c_2Elist_2ESHORTLEX @ A_27a ) @ V0R ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2EWF__SHORTLEX__same__lengths,axiom,
% 5.55/5.77 ! [A_27a: del,V0R: $i] :
% 5.55/5.77 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.55/5.77 => ( ( p @ ( ap @ ( c_2Erelation_2EWF @ A_27a ) @ V0R ) )
% 5.55/5.77 => ! [V1l: tp__ty_2Enum_2Enum,V2s: $i] :
% 5.55/5.77 ( ( mem @ V2s @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ bool ) )
% 5.55/5.77 => ( ( ! [V3d: $i] :
% 5.55/5.77 ( ( mem @ V3d @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Elist_2Elist @ A_27a ) ) @ V3d ) @ V2s ) )
% 5.55/5.77 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V3d ) )
% 5.55/5.77 = V1l ) ) )
% 5.55/5.77 & ? [V4a: $i] :
% 5.55/5.77 ( ( mem @ V4a @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Elist_2Elist @ A_27a ) ) @ V4a ) @ V2s ) ) ) )
% 5.55/5.77 => ? [V5b: $i] :
% 5.55/5.77 ( ( mem @ V5b @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Elist_2Elist @ A_27a ) ) @ V5b ) @ V2s ) )
% 5.55/5.77 & ! [V6c: $i] :
% 5.55/5.77 ( ( mem @ V6c @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ESHORTLEX @ A_27a ) @ V0R ) @ V6c ) @ V5b ) )
% 5.55/5.77 => ~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Elist_2Elist @ A_27a ) ) @ V6c ) @ V2s ) ) ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2EWF__SHORTLEX,axiom,
% 5.55/5.77 ! [A_27a: del,V0R: $i] :
% 5.55/5.77 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.55/5.77 => ( ( p @ ( ap @ ( c_2Erelation_2EWF @ A_27a ) @ V0R ) )
% 5.55/5.77 => ( p @ ( ap @ ( c_2Erelation_2EWF @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ap @ ( c_2Elist_2ESHORTLEX @ A_27a ) @ V0R ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(ax_thm_2Elist_2ELLEX__def,axiom,
% 5.55/5.77 ! [A_27a: del] :
% 5.55/5.77 ( ! [V0R: $i] :
% 5.55/5.77 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.55/5.77 => ! [V1l2: $i] :
% 5.55/5.77 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELLEX @ A_27a ) @ V0R ) @ ( c_2Elist_2ENIL @ A_27a ) ) @ V1l2 ) )
% 5.55/5.77 <=> ( V1l2
% 5.55/5.77 != ( c_2Elist_2ENIL @ A_27a ) ) ) ) )
% 5.55/5.77 & ! [V2R: $i] :
% 5.55/5.77 ( ( mem @ V2R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.55/5.77 => ! [V3h1: $i] :
% 5.55/5.77 ( ( mem @ V3h1 @ A_27a )
% 5.55/5.77 => ! [V4t1: $i] :
% 5.55/5.77 ( ( mem @ V4t1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ! [V5l2: $i] :
% 5.55/5.77 ( ( mem @ V5l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELLEX @ A_27a ) @ V2R ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3h1 ) @ V4t1 ) ) @ V5l2 ) )
% 5.55/5.77 <=> ( p
% 5.55/5.77 @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2Elist__CASE @ A_27a @ bool ) @ V5l2 ) @ c_2Ebool_2EF )
% 5.55/5.77 @ ( lam @ A_27a
% 5.55/5.77 @ ^ [V6h2: $i] :
% 5.55/5.77 ( lam @ ( ty_2Elist_2Elist @ A_27a )
% 5.55/5.77 @ ^ [V7t2: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ bool ) @ ( ap @ ( ap @ V2R @ V3h1 ) @ V6h2 ) ) @ c_2Ebool_2ET ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ bool ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V3h1 ) @ V6h2 ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELLEX @ A_27a ) @ V2R ) @ V4t1 ) @ V7t2 ) ) @ c_2Ebool_2EF ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2ELLEX__THM,axiom,
% 5.55/5.77 ! [A_27a: del,V0R: $i] :
% 5.55/5.77 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.55/5.77 => ! [V1h1: $i] :
% 5.55/5.77 ( ( mem @ V1h1 @ A_27a )
% 5.55/5.77 => ! [V2t1: $i] :
% 5.55/5.77 ( ( mem @ V2t1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ! [V3h2: $i] :
% 5.55/5.77 ( ( mem @ V3h2 @ A_27a )
% 5.55/5.77 => ! [V4t2: $i] :
% 5.55/5.77 ( ( mem @ V4t2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ( ~ ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELLEX @ A_27a ) @ V0R ) @ ( c_2Elist_2ENIL @ A_27a ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.77 & ~ ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELLEX @ A_27a ) @ V0R ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1h1 ) @ V2t1 ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.77 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELLEX @ A_27a ) @ V0R ) @ ( c_2Elist_2ENIL @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3h2 ) @ V4t2 ) ) )
% 5.55/5.77 & ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELLEX @ A_27a ) @ V0R ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1h1 ) @ V2t1 ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3h2 ) @ V4t2 ) ) )
% 5.55/5.77 <=> ( ( p @ ( ap @ ( ap @ V0R @ V1h1 ) @ V3h2 ) )
% 5.55/5.77 | ( ( V1h1 = V3h2 )
% 5.55/5.77 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELLEX @ A_27a ) @ V0R ) @ V2t1 ) @ V4t2 ) ) ) ) ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2ELLEX__MONO,axiom,
% 5.55/5.77 ! [A_27a: del,V0R1: $i] :
% 5.55/5.77 ( ( mem @ V0R1 @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.55/5.77 => ! [V1R2: $i] :
% 5.55/5.77 ( ( mem @ V1R2 @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.55/5.77 => ! [V2x: $i] :
% 5.55/5.77 ( ( mem @ V2x @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ! [V3y: $i] :
% 5.55/5.77 ( ( mem @ V3y @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ( ! [V4x: $i] :
% 5.55/5.77 ( ( mem @ V4x @ A_27a )
% 5.55/5.77 => ! [V5y: $i] :
% 5.55/5.77 ( ( mem @ V5y @ A_27a )
% 5.55/5.77 => ( ( p @ ( ap @ ( ap @ V0R1 @ V4x ) @ V5y ) )
% 5.55/5.77 => ( p @ ( ap @ ( ap @ V1R2 @ V4x ) @ V5y ) ) ) ) )
% 5.55/5.77 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELLEX @ A_27a ) @ V0R1 ) @ V2x ) @ V3y ) )
% 5.55/5.77 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELLEX @ A_27a ) @ V1R2 ) @ V2x ) @ V3y ) ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2ELLEX__CONG,axiom,
% 5.55/5.77 ! [A_27a: del,V0R: $i] :
% 5.55/5.77 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.55/5.77 => ! [V1l1: $i] :
% 5.55/5.77 ( ( mem @ V1l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ! [V2l2: $i] :
% 5.55/5.77 ( ( mem @ V2l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ! [V3R_27: $i] :
% 5.55/5.77 ( ( mem @ V3R_27 @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.55/5.77 => ! [V4l1_27: $i] :
% 5.55/5.77 ( ( mem @ V4l1_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ! [V5l2_27: $i] :
% 5.55/5.77 ( ( mem @ V5l2_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ( ( ( V1l1 = V4l1_27 )
% 5.55/5.77 & ( V2l2 = V5l2_27 )
% 5.55/5.77 & ! [V6a: $i] :
% 5.55/5.77 ( ( mem @ V6a @ A_27a )
% 5.55/5.77 => ! [V7b: $i] :
% 5.55/5.77 ( ( mem @ V7b @ A_27a )
% 5.55/5.77 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V6a ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V4l1_27 ) ) )
% 5.55/5.77 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V7b ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V5l2_27 ) ) ) )
% 5.55/5.77 => ( ( p @ ( ap @ ( ap @ V0R @ V6a ) @ V7b ) )
% 5.55/5.77 <=> ( p @ ( ap @ ( ap @ V3R_27 @ V6a ) @ V7b ) ) ) ) ) ) )
% 5.55/5.77 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELLEX @ A_27a ) @ V0R ) @ V1l1 ) @ V2l2 ) )
% 5.55/5.77 <=> ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELLEX @ A_27a ) @ V3R_27 ) @ V4l1_27 ) @ V5l2_27 ) ) ) ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2ELLEX__NIL2,axiom,
% 5.55/5.77 ! [A_27a: del,V0R: $i] :
% 5.55/5.77 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.55/5.77 => ! [V1l: $i] :
% 5.55/5.77 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ~ ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELLEX @ A_27a ) @ V0R ) @ V1l ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2ELLEX__transitive,axiom,
% 5.55/5.77 ! [A_27a: del,V0R: $i] :
% 5.55/5.77 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.55/5.77 => ( ( p @ ( ap @ ( c_2Erelation_2Etransitive @ A_27a ) @ V0R ) )
% 5.55/5.77 => ( p @ ( ap @ ( c_2Erelation_2Etransitive @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ap @ ( c_2Elist_2ELLEX @ A_27a ) @ V0R ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2ELLEX__total,axiom,
% 5.55/5.77 ! [A_27a: del,V0R: $i] :
% 5.55/5.77 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.55/5.77 => ( ( p @ ( ap @ ( c_2Erelation_2Etotal @ A_27a ) @ ( ap @ ( c_2Erelation_2ERC @ A_27a ) @ V0R ) ) )
% 5.55/5.77 => ( p @ ( ap @ ( c_2Erelation_2Etotal @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ap @ ( c_2Erelation_2ERC @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ap @ ( c_2Elist_2ELLEX @ A_27a ) @ V0R ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2ELLEX__not__WF,axiom,
% 5.55/5.77 ! [A_27a: del,V0R: $i] :
% 5.55/5.77 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.55/5.77 => ( ? [V1a: $i] :
% 5.55/5.77 ( ( mem @ V1a @ A_27a )
% 5.55/5.77 & ? [V2b: $i] :
% 5.55/5.77 ( ( mem @ V2b @ A_27a )
% 5.55/5.77 & ( p @ ( ap @ ( ap @ V0R @ V1a ) @ V2b ) ) ) )
% 5.55/5.77 => ~ ( p @ ( ap @ ( c_2Erelation_2EWF @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ap @ ( c_2Elist_2ELLEX @ A_27a ) @ V0R ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2ELLEX__EL__THM,axiom,
% 5.55/5.77 ! [A_27a: del,V0R: $i] :
% 5.55/5.77 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.55/5.77 => ! [V1l1: $i] :
% 5.55/5.77 ( ( mem @ V1l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ! [V2l2: $i] :
% 5.55/5.77 ( ( mem @ V2l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELLEX @ A_27a ) @ V0R ) @ V1l1 ) @ V2l2 ) )
% 5.55/5.77 <=> ? [V3n: tp__ty_2Enum_2Enum] :
% 5.55/5.77 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V3n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l1 ) ) )
% 5.55/5.77 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V3n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2l2 ) ) )
% 5.55/5.77 & ( ( ap @ ( ap @ ( c_2Elist_2ETAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V3n ) ) @ V1l1 )
% 5.55/5.77 = ( ap @ ( ap @ ( c_2Elist_2ETAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V3n ) ) @ V2l2 ) )
% 5.55/5.77 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V3n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l1 ) ) )
% 5.55/5.77 => ( p @ ( ap @ ( ap @ V0R @ ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V3n ) ) @ V1l1 ) ) @ ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V3n ) ) @ V2l2 ) ) ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(ax_thm_2Elist_2Enub__def,axiom,
% 5.55/5.77 ! [A_27a: del] :
% 5.55/5.77 ( ( ( ap @ ( c_2Elist_2Enub @ A_27a ) @ ( c_2Elist_2ENIL @ A_27a ) )
% 5.55/5.77 = ( c_2Elist_2ENIL @ A_27a ) )
% 5.55/5.77 & ! [V0x: $i] :
% 5.55/5.77 ( ( mem @ V0x @ A_27a )
% 5.55/5.77 => ! [V1l: $i] :
% 5.55/5.77 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ( ( ap @ ( c_2Elist_2Enub @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V0x ) @ V1l ) )
% 5.55/5.77 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V1l ) ) ) @ ( ap @ ( c_2Elist_2Enub @ A_27a ) @ V1l ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V0x ) @ ( ap @ ( c_2Elist_2Enub @ A_27a ) @ V1l ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2Enub__set,axiom,
% 5.55/5.77 ! [A_27a: del,V0l: $i] :
% 5.55/5.77 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ( ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ ( ap @ ( c_2Elist_2Enub @ A_27a ) @ V0l ) )
% 5.55/5.77 = ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V0l ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2Eall__distinct__nub,axiom,
% 5.55/5.77 ! [A_27a: del,V0l: $i] :
% 5.55/5.77 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ( p @ ( ap @ ( c_2Elist_2EALL__DISTINCT @ A_27a ) @ ( ap @ ( c_2Elist_2Enub @ A_27a ) @ V0l ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2Enub__append,axiom,
% 5.55/5.77 ! [A_27a: del,V0l1: $i] :
% 5.55/5.77 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ! [V1l2: $i] :
% 5.55/5.77 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ( ( ap @ ( c_2Elist_2Enub @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V0l1 ) @ V1l2 ) )
% 5.55/5.77 = ( ap
% 5.55/5.77 @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a )
% 5.55/5.77 @ ( ap @ ( c_2Elist_2Enub @ A_27a )
% 5.55/5.77 @ ( ap
% 5.55/5.77 @ ( ap @ ( c_2Elist_2EFILTER @ A_27a )
% 5.55/5.77 @ ( lam @ A_27a
% 5.55/5.77 @ ^ [V2x: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V1l2 ) ) ) ) )
% 5.55/5.77 @ V0l1 ) ) )
% 5.55/5.77 @ ( ap @ ( c_2Elist_2Enub @ A_27a ) @ V1l2 ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2Elist__to__set__diff,axiom,
% 5.55/5.77 ! [A_27a: del,V0l1: $i] :
% 5.55/5.77 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ! [V1l2: $i] :
% 5.55/5.77 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2Epred__set_2EDIFF @ A_27a ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V1l2 ) ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V0l1 ) )
% 5.55/5.77 = ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a )
% 5.55/5.77 @ ( ap
% 5.55/5.77 @ ( ap @ ( c_2Elist_2EFILTER @ A_27a )
% 5.55/5.77 @ ( lam @ A_27a
% 5.55/5.77 @ ^ [V2x: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V0l1 ) ) ) ) )
% 5.55/5.77 @ V1l2 ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2Elength__nub__append,axiom,
% 5.55/5.77 ! [A_27a: del,V0l1: $i] :
% 5.55/5.77 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ! [V1l2: $i] :
% 5.55/5.77 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ ( ap @ ( c_2Elist_2Enub @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V0l1 ) @ V1l2 ) ) ) )
% 5.55/5.77 = ( surj__ty_2Enum_2Enum
% 5.55/5.77 @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ ( ap @ ( c_2Elist_2Enub @ A_27a ) @ V0l1 ) ) )
% 5.55/5.77 @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a )
% 5.55/5.77 @ ( ap @ ( c_2Elist_2Enub @ A_27a )
% 5.55/5.77 @ ( ap
% 5.55/5.77 @ ( ap @ ( c_2Elist_2EFILTER @ A_27a )
% 5.55/5.77 @ ( lam @ A_27a
% 5.55/5.77 @ ^ [V2x: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V0l1 ) ) ) ) )
% 5.55/5.77 @ V1l2 ) ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2EALL__DISTINCT__DROP,axiom,
% 5.55/5.77 ! [A_27a: del,V0ls: $i] :
% 5.55/5.77 ( ( mem @ V0ls @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ! [V1n: tp__ty_2Enum_2Enum] :
% 5.55/5.77 ( ( p @ ( ap @ ( c_2Elist_2EALL__DISTINCT @ A_27a ) @ V0ls ) )
% 5.55/5.77 => ( p @ ( ap @ ( c_2Elist_2EALL__DISTINCT @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EDROP @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ V0ls ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2EEXISTS__LIST__EQ__MAP,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,V0ls: $i] :
% 5.55/5.77 ( ( mem @ V0ls @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ! [V1f: $i] :
% 5.55/5.77 ( ( mem @ V1f @ ( arr @ A_27b @ A_27a ) )
% 5.55/5.77 => ( ( p
% 5.55/5.77 @ ( ap
% 5.55/5.77 @ ( ap @ ( c_2Elist_2EEVERY @ A_27a )
% 5.55/5.77 @ ( lam @ A_27a
% 5.55/5.77 @ ^ [V2x: $i] :
% 5.55/5.77 ( ap @ ( c_2Ebool_2E_3F @ A_27b )
% 5.55/5.77 @ ( lam @ A_27b
% 5.55/5.77 @ ^ [V3y: $i] : ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V2x ) @ ( ap @ V1f @ V3y ) ) ) ) ) )
% 5.55/5.77 @ V0ls ) )
% 5.55/5.77 => ? [V4l: $i] :
% 5.55/5.77 ( ( mem @ V4l @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.77 & ( V0ls
% 5.55/5.77 = ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27b @ A_27a ) @ V1f ) @ V4l ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2ELIST__TO__SET__FLAT,axiom,
% 5.55/5.77 ! [A_27a: del,V0ls: $i] :
% 5.55/5.77 ( ( mem @ V0ls @ ( ty_2Elist_2Elist @ ( ty_2Elist_2Elist @ A_27a ) ) )
% 5.55/5.77 => ( ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ ( ap @ ( c_2Elist_2EFLAT @ A_27a ) @ V0ls ) )
% 5.55/5.77 = ( ap @ ( c_2Epred__set_2EBIGUNION @ A_27a ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ ( arr @ A_27a @ bool ) ) @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ A_27a @ bool ) ) @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) ) @ V0ls ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2EMEM__APPEND__lemma,axiom,
% 5.55/5.77 ! [A_27a: del,V0a: $i] :
% 5.55/5.77 ( ( mem @ V0a @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ! [V1b: $i] :
% 5.55/5.77 ( ( mem @ V1b @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ! [V2c: $i] :
% 5.55/5.77 ( ( mem @ V2c @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ! [V3d: $i] :
% 5.55/5.77 ( ( mem @ V3d @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ! [V4x: $i] :
% 5.55/5.77 ( ( mem @ V4x @ A_27a )
% 5.55/5.77 => ( ( ( ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V0a ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4x ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) @ V1b )
% 5.55/5.77 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V2c ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4x ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) @ V3d ) )
% 5.55/5.77 & ~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V4x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V1b ) ) )
% 5.55/5.77 & ~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V4x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V0a ) ) ) )
% 5.55/5.77 => ( ( V0a = V2c )
% 5.55/5.77 & ( V1b = V3d ) ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2EEVERY2__REVERSE,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.55/5.77 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.55/5.77 => ! [V1l1: $i] :
% 5.55/5.77 ( ( mem @ V1l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ! [V2l2: $i] :
% 5.55/5.77 ( ( mem @ V2l2 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.77 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27a @ A_27b ) @ V0R ) @ V1l1 ) @ V2l2 ) )
% 5.55/5.77 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27a @ A_27b ) @ V0R ) @ ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ V1l1 ) ) @ ( ap @ ( c_2Elist_2EREVERSE @ A_27b ) @ V2l2 ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2ESUM__MAP__PLUS,axiom,
% 5.55/5.77 ! [A_27a: del,V0f: $i] :
% 5.55/5.77 ( ( mem @ V0f @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.55/5.77 => ! [V1g: $i] :
% 5.55/5.77 ( ( mem @ V1g @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.55/5.77 => ! [V2ls: $i] :
% 5.55/5.77 ( ( mem @ V2ls @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ( ( surj__ty_2Enum_2Enum
% 5.55/5.77 @ ( ap @ c_2Elist_2ESUM
% 5.55/5.77 @ ( ap
% 5.55/5.77 @ ( ap @ ( c_2Elist_2EMAP @ A_27a @ ty_2Enum_2Enum )
% 5.55/5.77 @ ( lam @ A_27a
% 5.55/5.77 @ ^ [V3x: $i] : ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ V0f @ V3x ) ) @ ( ap @ V1g @ V3x ) ) ) )
% 5.55/5.77 @ V2ls ) ) )
% 5.55/5.77 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Elist_2ESUM @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27a @ ty_2Enum_2Enum ) @ V0f ) @ V2ls ) ) ) @ ( ap @ c_2Elist_2ESUM @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27a @ ty_2Enum_2Enum ) @ V1g ) @ V2ls ) ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2ETAKE__LENGTH__ID__rwt,axiom,
% 5.55/5.77 ! [A_27a: del,V0l: $i] :
% 5.55/5.77 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ! [V1m: tp__ty_2Enum_2Enum] :
% 5.55/5.77 ( ( V1m
% 5.55/5.77 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2Elist_2ETAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ V0l )
% 5.55/5.77 = V0l ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2EZIP__DROP,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,V0a: $i] :
% 5.55/5.77 ( ( mem @ V0a @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ! [V1b: $i] :
% 5.55/5.77 ( ( mem @ V1b @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.77 => ! [V2n: tp__ty_2Enum_2Enum] :
% 5.55/5.77 ( ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0a ) ) )
% 5.55/5.77 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0a ) )
% 5.55/5.77 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27b ) @ V1b ) ) ) )
% 5.55/5.77 => ( ( ap @ ( c_2Elist_2EZIP @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Elist_2EDROP @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ V0a ) ) @ ( ap @ ( ap @ ( c_2Elist_2EDROP @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ V1b ) ) )
% 5.55/5.77 = ( ap @ ( ap @ ( c_2Elist_2EDROP @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( ap @ ( c_2Elist_2EZIP @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27b ) ) @ V0a ) @ V1b ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2EGENLIST__EL,axiom,
% 5.55/5.77 ! [A_27a: del,V0ls: $i] :
% 5.55/5.77 ( ( mem @ V0ls @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ! [V1f: $i] :
% 5.55/5.77 ( ( mem @ V1f @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.55/5.77 => ! [V2n: tp__ty_2Enum_2Enum] :
% 5.55/5.77 ( ( ( V2n
% 5.55/5.77 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0ls ) ) )
% 5.55/5.77 & ! [V3i: tp__ty_2Enum_2Enum] :
% 5.55/5.77 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V3i ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) )
% 5.55/5.77 => ( ( ap @ V1f @ ( inj__ty_2Enum_2Enum @ V3i ) )
% 5.55/5.77 = ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V3i ) ) @ V0ls ) ) ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2Elist_2EGENLIST @ A_27a ) @ V1f ) @ ( inj__ty_2Enum_2Enum @ V2n ) )
% 5.55/5.77 = V0ls ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2EEVERY2__trans,axiom,
% 5.55/5.77 ! [A_27a: del,V0R: $i] :
% 5.55/5.77 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.55/5.77 => ( ! [V1x: $i] :
% 5.55/5.77 ( ( mem @ V1x @ A_27a )
% 5.55/5.77 => ! [V2y: $i] :
% 5.55/5.77 ( ( mem @ V2y @ A_27a )
% 5.55/5.77 => ! [V3z: $i] :
% 5.55/5.77 ( ( mem @ V3z @ A_27a )
% 5.55/5.77 => ( ( ( p @ ( ap @ ( ap @ V0R @ V1x ) @ V2y ) )
% 5.55/5.77 & ( p @ ( ap @ ( ap @ V0R @ V2y ) @ V3z ) ) )
% 5.55/5.77 => ( p @ ( ap @ ( ap @ V0R @ V1x ) @ V3z ) ) ) ) ) )
% 5.55/5.77 => ! [V4x: $i] :
% 5.55/5.77 ( ( mem @ V4x @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ! [V5y: $i] :
% 5.55/5.77 ( ( mem @ V5y @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ! [V6z: $i] :
% 5.55/5.77 ( ( mem @ V6z @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ( ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27a @ A_27a ) @ V0R ) @ V4x ) @ V5y ) )
% 5.55/5.77 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27a @ A_27a ) @ V0R ) @ V5y ) @ V6z ) ) )
% 5.55/5.77 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27a @ A_27a ) @ V0R ) @ V4x ) @ V6z ) ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2EEVERY2__sym,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,V0R1: $i] :
% 5.55/5.77 ( ( mem @ V0R1 @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.55/5.77 => ! [V1R2: $i] :
% 5.55/5.77 ( ( mem @ V1R2 @ ( arr @ A_27b @ ( arr @ A_27a @ bool ) ) )
% 5.55/5.77 => ( ! [V2x: $i] :
% 5.55/5.77 ( ( mem @ V2x @ A_27a )
% 5.55/5.77 => ! [V3y: $i] :
% 5.55/5.77 ( ( mem @ V3y @ A_27b )
% 5.55/5.77 => ( ( p @ ( ap @ ( ap @ V0R1 @ V2x ) @ V3y ) )
% 5.55/5.77 => ( p @ ( ap @ ( ap @ V1R2 @ V3y ) @ V2x ) ) ) ) )
% 5.55/5.77 => ! [V4x: $i] :
% 5.55/5.77 ( ( mem @ V4x @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ! [V5y: $i] :
% 5.55/5.77 ( ( mem @ V5y @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.77 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27a @ A_27b ) @ V0R1 ) @ V4x ) @ V5y ) )
% 5.55/5.77 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27b @ A_27a ) @ V1R2 ) @ V5y ) @ V4x ) ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2EEVERY2__LUPDATE__same,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.55/5.77 ( ( mem @ V0P @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.55/5.77 => ! [V1l1: $i] :
% 5.55/5.77 ( ( mem @ V1l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ! [V2l2: $i] :
% 5.55/5.77 ( ( mem @ V2l2 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.77 => ! [V3v1: $i] :
% 5.55/5.77 ( ( mem @ V3v1 @ A_27a )
% 5.55/5.77 => ! [V4v2: $i] :
% 5.55/5.77 ( ( mem @ V4v2 @ A_27b )
% 5.55/5.77 => ! [V5n: tp__ty_2Enum_2Enum] :
% 5.55/5.77 ( ( ( p @ ( ap @ ( ap @ V0P @ V3v1 ) @ V4v2 ) )
% 5.55/5.77 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27a @ A_27b ) @ V0P ) @ V1l1 ) @ V2l2 ) ) )
% 5.55/5.77 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27a @ A_27b ) @ V0P ) @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELUPDATE @ A_27a ) @ V3v1 ) @ ( inj__ty_2Enum_2Enum @ V5n ) ) @ V1l1 ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELUPDATE @ A_27b ) @ V4v2 ) @ ( inj__ty_2Enum_2Enum @ V5n ) ) @ V2l2 ) ) ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2EEVERY2__refl,axiom,
% 5.55/5.77 ! [A_27a: del,V0ls: $i] :
% 5.55/5.77 ( ( mem @ V0ls @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ! [V1R: $i] :
% 5.55/5.77 ( ( mem @ V1R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.55/5.77 => ( ! [V2x: $i] :
% 5.55/5.77 ( ( mem @ V2x @ A_27a )
% 5.55/5.77 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V0ls ) ) )
% 5.55/5.77 => ( p @ ( ap @ ( ap @ V1R @ V2x ) @ V2x ) ) ) )
% 5.55/5.77 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27a @ A_27a ) @ V1R ) @ V0ls ) @ V0ls ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2EEVERY2__THM,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,A_27e: del,A_27f: del,A_27g: del,A_27h: del] :
% 5.55/5.77 ( ! [V0P: $i] :
% 5.55/5.77 ( ( mem @ V0P @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.55/5.77 => ! [V1ys: $i] :
% 5.55/5.77 ( ( mem @ V1ys @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.77 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27a @ A_27b ) @ V0P ) @ ( c_2Elist_2ENIL @ A_27a ) ) @ V1ys ) )
% 5.55/5.77 <=> ( V1ys
% 5.55/5.77 = ( c_2Elist_2ENIL @ A_27b ) ) ) ) )
% 5.55/5.77 & ! [V2P: $i] :
% 5.55/5.77 ( ( mem @ V2P @ ( arr @ A_27c @ ( arr @ A_27d @ bool ) ) )
% 5.55/5.77 => ! [V3yys: $i] :
% 5.55/5.77 ( ( mem @ V3yys @ ( ty_2Elist_2Elist @ A_27d ) )
% 5.55/5.77 => ! [V4x: $i] :
% 5.55/5.77 ( ( mem @ V4x @ A_27c )
% 5.55/5.77 => ! [V5xs: $i] :
% 5.55/5.77 ( ( mem @ V5xs @ ( ty_2Elist_2Elist @ A_27c ) )
% 5.55/5.77 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27c @ A_27d ) @ V2P ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27c ) @ V4x ) @ V5xs ) ) @ V3yys ) )
% 5.55/5.77 <=> ? [V6y: $i] :
% 5.55/5.77 ( ( mem @ V6y @ A_27d )
% 5.55/5.77 & ? [V7ys: $i] :
% 5.55/5.77 ( ( mem @ V7ys @ ( ty_2Elist_2Elist @ A_27d ) )
% 5.55/5.77 & ( V3yys
% 5.55/5.77 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27d ) @ V6y ) @ V7ys ) )
% 5.55/5.77 & ( p @ ( ap @ ( ap @ V2P @ V4x ) @ V6y ) )
% 5.55/5.77 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27c @ A_27d ) @ V2P ) @ V5xs ) @ V7ys ) ) ) ) ) ) ) ) )
% 5.55/5.77 & ! [V8P: $i] :
% 5.55/5.77 ( ( mem @ V8P @ ( arr @ A_27e @ ( arr @ A_27f @ bool ) ) )
% 5.55/5.77 => ! [V9xs: $i] :
% 5.55/5.77 ( ( mem @ V9xs @ ( ty_2Elist_2Elist @ A_27e ) )
% 5.55/5.77 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27e @ A_27f ) @ V8P ) @ V9xs ) @ ( c_2Elist_2ENIL @ A_27f ) ) )
% 5.55/5.77 <=> ( V9xs
% 5.55/5.77 = ( c_2Elist_2ENIL @ A_27e ) ) ) ) )
% 5.55/5.77 & ! [V10P: $i] :
% 5.55/5.77 ( ( mem @ V10P @ ( arr @ A_27g @ ( arr @ A_27h @ bool ) ) )
% 5.55/5.77 => ! [V11xxs: $i] :
% 5.55/5.77 ( ( mem @ V11xxs @ ( ty_2Elist_2Elist @ A_27g ) )
% 5.55/5.77 => ! [V12y: $i] :
% 5.55/5.77 ( ( mem @ V12y @ A_27h )
% 5.55/5.77 => ! [V13ys: $i] :
% 5.55/5.77 ( ( mem @ V13ys @ ( ty_2Elist_2Elist @ A_27h ) )
% 5.55/5.77 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27g @ A_27h ) @ V10P ) @ V11xxs ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27h ) @ V12y ) @ V13ys ) ) )
% 5.55/5.77 <=> ? [V14x: $i] :
% 5.55/5.77 ( ( mem @ V14x @ A_27g )
% 5.55/5.77 & ? [V15xs: $i] :
% 5.55/5.77 ( ( mem @ V15xs @ ( ty_2Elist_2Elist @ A_27g ) )
% 5.55/5.77 & ( V11xxs
% 5.55/5.77 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27g ) @ V14x ) @ V15xs ) )
% 5.55/5.77 & ( p @ ( ap @ ( ap @ V10P @ V14x ) @ V12y ) )
% 5.55/5.77 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27g @ A_27h ) @ V10P ) @ V15xs ) @ V13ys ) ) ) ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2ELIST__REL__trans,axiom,
% 5.55/5.77 ! [A_27a: del,V0R: $i] :
% 5.55/5.77 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.55/5.77 => ! [V1l1: $i] :
% 5.55/5.77 ( ( mem @ V1l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ! [V2l2: $i] :
% 5.55/5.77 ( ( mem @ V2l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ! [V3l3: $i] :
% 5.55/5.77 ( ( mem @ V3l3 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ( ( ! [V4n: tp__ty_2Enum_2Enum] :
% 5.55/5.77 ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V4n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l1 ) ) )
% 5.55/5.77 & ( p @ ( ap @ ( ap @ V0R @ ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V4n ) ) @ V1l1 ) ) @ ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V4n ) ) @ V2l2 ) ) )
% 5.55/5.77 & ( p @ ( ap @ ( ap @ V0R @ ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V4n ) ) @ V2l2 ) ) @ ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V4n ) ) @ V3l3 ) ) ) )
% 5.55/5.77 => ( p @ ( ap @ ( ap @ V0R @ ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V4n ) ) @ V1l1 ) ) @ ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V4n ) ) @ V3l3 ) ) ) )
% 5.55/5.77 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27a @ A_27a ) @ V0R ) @ V1l1 ) @ V2l2 ) )
% 5.55/5.77 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27a @ A_27a ) @ V0R ) @ V2l2 ) @ V3l3 ) ) )
% 5.55/5.77 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27a @ A_27a ) @ V0R ) @ V1l1 ) @ V3l3 ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2ESWAP__REVERSE,axiom,
% 5.55/5.77 ! [A_27a: del,V0l1: $i] :
% 5.55/5.77 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ! [V1l2: $i] :
% 5.55/5.77 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ( ( V0l1
% 5.55/5.77 = ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ V1l2 ) )
% 5.55/5.77 <=> ( V1l2
% 5.55/5.77 = ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ V0l1 ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2ESWAP__REVERSE__SYM,axiom,
% 5.55/5.77 ! [A_27a: del,V0l1: $i] :
% 5.55/5.77 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ! [V1l2: $i] :
% 5.55/5.77 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ( ( ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ V0l1 )
% 5.55/5.77 = V1l2 )
% 5.55/5.77 <=> ( V0l1
% 5.55/5.77 = ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ V1l2 ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2EBIGUNION__IMAGE__set__SUBSET,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.55/5.77 ( ( mem @ V0f @ ( arr @ A_27b @ ( arr @ A_27a @ bool ) ) )
% 5.55/5.77 => ! [V1ls: $i] :
% 5.55/5.77 ( ( mem @ V1ls @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.77 => ! [V2s: $i] :
% 5.55/5.77 ( ( mem @ V2s @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ ( ap @ ( c_2Epred__set_2EBIGUNION @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27b @ ( arr @ A_27a @ bool ) ) @ V0f ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27b ) @ V1ls ) ) ) ) @ V2s ) )
% 5.55/5.77 <=> ! [V3x: $i] :
% 5.55/5.77 ( ( mem @ V3x @ A_27b )
% 5.55/5.77 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ V3x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27b ) @ V1ls ) ) )
% 5.55/5.77 => ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ ( ap @ V0f @ V3x ) ) @ V2s ) ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2EIMAGE__EL__count__LENGTH,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.55/5.77 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.55/5.77 => ! [V1ls: $i] :
% 5.55/5.77 ( ( mem @ V1ls @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ( ( ap
% 5.55/5.77 @ ( ap @ ( c_2Epred__set_2EIMAGE @ ty_2Enum_2Enum @ A_27b )
% 5.55/5.77 @ ( lam @ ty_2Enum_2Enum
% 5.55/5.77 @ ^ [V2n: $i] : ( ap @ V0f @ ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ V2n ) @ V1ls ) ) ) )
% 5.55/5.77 @ ( ap @ c_2Epred__set_2Ecount @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1ls ) ) )
% 5.55/5.77 = ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ A_27b ) @ V0f ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V1ls ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2EGENLIST__EL__MAP,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.55/5.77 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.55/5.77 => ! [V1ls: $i] :
% 5.55/5.77 ( ( mem @ V1ls @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ( ( ap
% 5.55/5.77 @ ( ap @ ( c_2Elist_2EGENLIST @ A_27b )
% 5.55/5.77 @ ( lam @ ty_2Enum_2Enum
% 5.55/5.77 @ ^ [V2n: $i] : ( ap @ V0f @ ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ V2n ) @ V1ls ) ) ) )
% 5.55/5.77 @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1ls ) )
% 5.55/5.77 = ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27a @ A_27b ) @ V0f ) @ V1ls ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2ELENGTH__FILTER__LEQ__MONO,axiom,
% 5.55/5.77 ! [A_27a: del,V0P: $i] :
% 5.55/5.77 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ! [V1Q: $i] :
% 5.55/5.77 ( ( mem @ V1Q @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ( ! [V2x: $i] :
% 5.55/5.77 ( ( mem @ V2x @ A_27a )
% 5.55/5.77 => ( ( p @ ( ap @ V0P @ V2x ) )
% 5.55/5.77 => ( p @ ( ap @ V1Q @ V2x ) ) ) )
% 5.55/5.77 => ! [V3ls: $i] :
% 5.55/5.77 ( ( mem @ V3ls @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EFILTER @ A_27a ) @ V0P ) @ V3ls ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EFILTER @ A_27a ) @ V1Q ) @ V3ls ) ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2ELIST__EQ__MAP__PAIR,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,V0l1: $i] :
% 5.55/5.77 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) )
% 5.55/5.77 => ! [V1l2: $i] :
% 5.55/5.77 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) )
% 5.55/5.77 => ( ( ( ( ap @ ( ap @ ( c_2Elist_2EMAP @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ A_27a ) @ ( c_2Epair_2EFST @ A_27a @ A_27b ) ) @ V0l1 )
% 5.55/5.77 = ( ap @ ( ap @ ( c_2Elist_2EMAP @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ A_27a ) @ ( c_2Epair_2EFST @ A_27a @ A_27b ) ) @ V1l2 ) )
% 5.55/5.77 & ( ( ap @ ( ap @ ( c_2Elist_2EMAP @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ A_27b ) @ ( c_2Epair_2ESND @ A_27a @ A_27b ) ) @ V0l1 )
% 5.55/5.77 = ( ap @ ( ap @ ( c_2Elist_2EMAP @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ A_27b ) @ ( c_2Epair_2ESND @ A_27a @ A_27b ) ) @ V1l2 ) ) )
% 5.55/5.77 => ( V0l1 = V1l2 ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2ETAKE__SUM,axiom,
% 5.55/5.77 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1m: tp__ty_2Enum_2Enum,V2l: $i] :
% 5.55/5.77 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2Elist_2ETAKE @ A_27a ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) @ V2l )
% 5.55/5.77 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ETAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V2l ) ) @ ( ap @ ( ap @ ( c_2Elist_2ETAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( ap @ ( ap @ ( c_2Elist_2EDROP @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V2l ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2EALL__DISTINCT__FILTER__EL__IMP,axiom,
% 5.55/5.77 ! [A_27a: del,V0P: $i] :
% 5.55/5.77 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ! [V1l: $i] :
% 5.55/5.77 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ! [V2n1: tp__ty_2Enum_2Enum,V3n2: tp__ty_2Enum_2Enum] :
% 5.55/5.77 ( ( ( p @ ( ap @ ( c_2Elist_2EALL__DISTINCT @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EFILTER @ A_27a ) @ V0P ) @ V1l ) ) )
% 5.55/5.77 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V2n1 ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l ) ) )
% 5.55/5.77 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V3n2 ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l ) ) )
% 5.55/5.77 & ( p @ ( ap @ V0P @ ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V2n1 ) ) @ V1l ) ) )
% 5.55/5.77 & ( ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V2n1 ) ) @ V1l )
% 5.55/5.77 = ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V3n2 ) ) @ V1l ) ) )
% 5.55/5.77 => ( V2n1 = V3n2 ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2EFLAT__EQ__NIL,axiom,
% 5.55/5.77 ! [A_27a: del,V0ls: $i] :
% 5.55/5.77 ( ( mem @ V0ls @ ( ty_2Elist_2Elist @ ( ty_2Elist_2Elist @ A_27a ) ) )
% 5.55/5.77 => ( ( ( ap @ ( c_2Elist_2EFLAT @ A_27a ) @ V0ls )
% 5.55/5.77 = ( c_2Elist_2ENIL @ A_27a ) )
% 5.55/5.77 <=> ( p @ ( ap @ ( ap @ ( c_2Elist_2EEVERY @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) @ V0ls ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2EALL__DISTINCT__MAP__INJ,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,V0ls: $i] :
% 5.55/5.77 ( ( mem @ V0ls @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ! [V1f: $i] :
% 5.55/5.77 ( ( mem @ V1f @ ( arr @ A_27a @ A_27b ) )
% 5.55/5.77 => ( ( ! [V2x: $i] :
% 5.55/5.77 ( ( mem @ V2x @ A_27a )
% 5.55/5.77 => ! [V3y: $i] :
% 5.55/5.77 ( ( mem @ V3y @ A_27a )
% 5.55/5.77 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V0ls ) ) )
% 5.55/5.77 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3y ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V0ls ) ) )
% 5.55/5.77 & ( ( ap @ V1f @ V2x )
% 5.55/5.77 = ( ap @ V1f @ V3y ) ) )
% 5.55/5.77 => ( V2x = V3y ) ) ) )
% 5.55/5.77 & ( p @ ( ap @ ( c_2Elist_2EALL__DISTINCT @ A_27a ) @ V0ls ) ) )
% 5.55/5.77 => ( p @ ( ap @ ( c_2Elist_2EALL__DISTINCT @ A_27b ) @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27a @ A_27b ) @ V1f ) @ V0ls ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2ELENGTH__o__REVERSE,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.55/5.77 ( ( mem @ V0f @ ( arr @ A_27b @ ( ty_2Elist_2Elist @ A_27c ) ) )
% 5.55/5.77 => ( ( ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( ty_2Elist_2Elist @ A_27a ) @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( c_2Elist_2ELENGTH @ A_27a ) ) @ ( c_2Elist_2EREVERSE @ A_27a ) )
% 5.55/5.77 = ( c_2Elist_2ELENGTH @ A_27a ) )
% 5.55/5.77 & ( ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ A_27c ) ) @ ( c_2Elist_2ELENGTH @ A_27c ) ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Elist_2Elist @ A_27c ) @ ( ty_2Elist_2Elist @ A_27c ) ) @ ( c_2Elist_2EREVERSE @ A_27c ) ) @ V0f ) )
% 5.55/5.77 = ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ A_27c ) ) @ ( c_2Elist_2ELENGTH @ A_27c ) ) @ V0f ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2EREVERSE__o__REVERSE,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.55/5.77 ( ( mem @ V0f @ ( arr @ A_27a @ ( ty_2Elist_2Elist @ A_27b ) ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27a @ ( ty_2Elist_2Elist @ A_27b ) @ ( ty_2Elist_2Elist @ A_27b ) ) @ ( c_2Elist_2EREVERSE @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27a @ ( ty_2Elist_2Elist @ A_27b ) @ ( ty_2Elist_2Elist @ A_27b ) ) @ ( c_2Elist_2EREVERSE @ A_27b ) ) @ V0f ) )
% 5.55/5.77 = V0f ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2EGENLIST__PLUS__APPEND,axiom,
% 5.55/5.77 ! [V0a: tp__ty_2Enum_2Enum,V1n1: tp__ty_2Enum_2Enum,V2n2: tp__ty_2Enum_2Enum] :
% 5.55/5.77 ( ( surj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ ( c_2Elist_2EGENLIST @ ty_2Enum_2Enum ) @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0a ) ) ) @ ( inj__ty_2Enum_2Enum @ V1n1 ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2EGENLIST @ ty_2Enum_2Enum ) @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1n1 ) ) @ ( inj__ty_2Enum_2Enum @ V0a ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V2n2 ) ) ) )
% 5.55/5.77 = ( surj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ ( ap @ ( ap @ ( c_2Elist_2EGENLIST @ ty_2Enum_2Enum ) @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0a ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1n1 ) ) @ ( inj__ty_2Enum_2Enum @ V2n2 ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2ELIST__TO__SET__GENLIST,axiom,
% 5.55/5.77 ! [A_27a: del,V0f: $i] :
% 5.55/5.77 ( ( mem @ V0f @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.55/5.77 => ! [V1n: tp__ty_2Enum_2Enum] :
% 5.55/5.77 ( ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EGENLIST @ A_27a ) @ V0f ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.55/5.77 = ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ ty_2Enum_2Enum @ A_27a ) @ V0f ) @ ( ap @ c_2Epred__set_2Ecount @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2EMEM__ZIP__MEM__MAP,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,V0ps: $i] :
% 5.55/5.77 ( ( mem @ V0ps @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27b ) ) )
% 5.55/5.77 => ! [V1p: $i] :
% 5.55/5.77 ( ( mem @ V1p @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) )
% 5.55/5.77 => ( ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ ( ap @ ( c_2Epair_2EFST @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27b ) ) @ V0ps ) ) )
% 5.55/5.77 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27b ) @ ( ap @ ( c_2Epair_2ESND @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27b ) ) @ V0ps ) ) ) )
% 5.55/5.77 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ V1p ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( ap @ ( c_2Elist_2EZIP @ A_27a @ A_27b ) @ V0ps ) ) ) ) )
% 5.55/5.77 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ ( ap @ ( c_2Epair_2EFST @ A_27a @ A_27b ) @ V1p ) ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ ( ap @ ( c_2Epair_2EFST @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27b ) ) @ V0ps ) ) ) )
% 5.55/5.77 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ ( ap @ ( c_2Epair_2ESND @ A_27a @ A_27b ) @ V1p ) ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27b ) @ ( ap @ ( c_2Epair_2ESND @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27b ) ) @ V0ps ) ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2EDISJOINT__GENLIST__PLUS,axiom,
% 5.55/5.77 ! [V0x: $i] :
% 5.55/5.77 ( ( mem @ V0x @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.55/5.77 => ! [V1n: tp__ty_2Enum_2Enum,V2a: tp__ty_2Enum_2Enum,V3b: tp__ty_2Enum_2Enum] :
% 5.55/5.77 ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2EDISJOINT @ ty_2Enum_2Enum ) @ V0x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ ( c_2Elist_2EGENLIST @ ty_2Enum_2Enum ) @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V2a ) ) @ ( inj__ty_2Enum_2Enum @ V3b ) ) ) ) ) )
% 5.55/5.77 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2EDISJOINT @ ty_2Enum_2Enum ) @ V0x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ ( c_2Elist_2EGENLIST @ ty_2Enum_2Enum ) @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ ( inj__ty_2Enum_2Enum @ V2a ) ) ) ) )
% 5.55/5.77 & ( p @ ( ap @ ( ap @ ( c_2Epred__set_2EDISJOINT @ ty_2Enum_2Enum ) @ V0x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ ( c_2Elist_2EGENLIST @ ty_2Enum_2Enum ) @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V2a ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V3b ) ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2EEVERY2__MAP,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0P: $i] :
% 5.55/5.77 ( ( mem @ V0P @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.55/5.77 => ! [V1f: $i] :
% 5.55/5.77 ( ( mem @ V1f @ ( arr @ A_27c @ A_27a ) )
% 5.55/5.77 => ! [V2l1: $i] :
% 5.55/5.77 ( ( mem @ V2l1 @ ( ty_2Elist_2Elist @ A_27c ) )
% 5.55/5.77 => ! [V3l2: $i] :
% 5.55/5.77 ( ( mem @ V3l2 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.77 => ! [V4Q: $i] :
% 5.55/5.77 ( ( mem @ V4Q @ ( arr @ A_27c @ ( arr @ A_27d @ bool ) ) )
% 5.55/5.77 => ! [V5g: $i] :
% 5.55/5.77 ( ( mem @ V5g @ ( arr @ A_27b @ A_27d ) )
% 5.55/5.77 => ( ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27a @ A_27b ) @ V0P ) @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27c @ A_27a ) @ V1f ) @ V2l1 ) ) @ V3l2 ) )
% 5.55/5.77 <=> ( p
% 5.55/5.77 @ ( ap
% 5.55/5.77 @ ( ap
% 5.55/5.77 @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27c @ A_27b )
% 5.55/5.77 @ ( lam @ A_27c
% 5.55/5.77 @ ^ [V6x: $i] :
% 5.55/5.77 ( lam @ A_27b
% 5.55/5.77 @ ^ [V7y: $i] : ( ap @ ( ap @ V0P @ ( ap @ V1f @ V6x ) ) @ V7y ) ) ) )
% 5.55/5.77 @ V2l1 )
% 5.55/5.77 @ V3l2 ) ) )
% 5.55/5.77 & ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27c @ A_27d ) @ V4Q ) @ V2l1 ) @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27b @ A_27d ) @ V5g ) @ V3l2 ) ) )
% 5.55/5.77 <=> ( p
% 5.55/5.77 @ ( ap
% 5.55/5.77 @ ( ap
% 5.55/5.77 @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27c @ A_27b )
% 5.55/5.77 @ ( lam @ A_27c
% 5.55/5.77 @ ^ [V8x: $i] :
% 5.55/5.77 ( lam @ A_27b
% 5.55/5.77 @ ^ [V9y: $i] : ( ap @ ( ap @ V4Q @ V8x ) @ ( ap @ V5g @ V9y ) ) ) ) )
% 5.55/5.77 @ V2l1 )
% 5.55/5.77 @ V3l2 ) ) ) ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2Eexists__list__GENLIST,axiom,
% 5.55/5.77 ! [A_27a: del,V0P: $i] :
% 5.55/5.77 ( ( mem @ V0P @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ bool ) )
% 5.55/5.77 => ( ? [V1ls: $i] :
% 5.55/5.77 ( ( mem @ V1ls @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 & ( p @ ( ap @ V0P @ V1ls ) ) )
% 5.55/5.77 <=> ? [V2n: tp__ty_2Enum_2Enum,V3f: $i] :
% 5.55/5.77 ( ( mem @ V3f @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.55/5.77 & ( p @ ( ap @ V0P @ ( ap @ ( ap @ ( c_2Elist_2EGENLIST @ A_27a ) @ V3f ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2EEVERY__MEM__MONO,axiom,
% 5.55/5.77 ! [A_27a: del,V0P: $i] :
% 5.55/5.77 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ! [V1Q: $i] :
% 5.55/5.77 ( ( mem @ V1Q @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ! [V2l: $i] :
% 5.55/5.77 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ( ( ! [V3x: $i] :
% 5.55/5.77 ( ( mem @ V3x @ A_27a )
% 5.55/5.77 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V2l ) ) )
% 5.55/5.77 & ( p @ ( ap @ V0P @ V3x ) ) )
% 5.55/5.77 => ( p @ ( ap @ V1Q @ V3x ) ) ) )
% 5.55/5.77 & ( p @ ( ap @ ( ap @ ( c_2Elist_2EEVERY @ A_27a ) @ V0P ) @ V2l ) ) )
% 5.55/5.77 => ( p @ ( ap @ ( ap @ ( c_2Elist_2EEVERY @ A_27a ) @ V1Q ) @ V2l ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2EEVERY2__MEM__MONO,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.55/5.77 ( ( mem @ V0P @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.55/5.77 => ! [V1Q: $i] :
% 5.55/5.77 ( ( mem @ V1Q @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.55/5.77 => ! [V2l1: $i] :
% 5.55/5.77 ( ( mem @ V2l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ! [V3l2: $i] :
% 5.55/5.77 ( ( mem @ V3l2 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.77 => ( ( ! [V4x: $i] :
% 5.55/5.77 ( ( mem @ V4x @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) )
% 5.55/5.77 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ V4x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( ap @ ( c_2Elist_2EZIP @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27b ) ) @ V2l1 ) @ V3l2 ) ) ) ) )
% 5.55/5.77 & ( p @ ( ap @ ( ap @ ( c_2Epair_2EUNCURRY @ A_27a @ A_27b @ bool ) @ V0P ) @ V4x ) ) )
% 5.55/5.77 => ( p @ ( ap @ ( ap @ ( c_2Epair_2EUNCURRY @ A_27a @ A_27b @ bool ) @ V1Q ) @ V4x ) ) ) )
% 5.55/5.77 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27a @ A_27b ) @ V0P ) @ V2l1 ) @ V3l2 ) ) )
% 5.55/5.77 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27a @ A_27b ) @ V1Q ) @ V2l1 ) @ V3l2 ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2Emem__exists__set,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,V0x: $i] :
% 5.55/5.77 ( ( mem @ V0x @ A_27a )
% 5.55/5.77 => ! [V1y: $i] :
% 5.55/5.77 ( ( mem @ V1y @ A_27b )
% 5.55/5.77 => ! [V2l: $i] :
% 5.55/5.77 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) )
% 5.55/5.77 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V0x ) @ V1y ) ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ V2l ) ) )
% 5.55/5.77 => ? [V3z: $i] :
% 5.55/5.77 ( ( mem @ V3z @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) )
% 5.55/5.77 & ( V0x
% 5.55/5.77 = ( ap @ ( c_2Epair_2EFST @ A_27a @ A_27b ) @ V3z ) )
% 5.55/5.77 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ V3z ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ V2l ) ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2Eevery__zip__snd,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,V0l1: $i] :
% 5.55/5.77 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ! [V1l2: $i] :
% 5.55/5.77 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.77 => ! [V2P: $i] :
% 5.55/5.77 ( ( mem @ V2P @ ( arr @ A_27b @ bool ) )
% 5.55/5.77 => ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l1 ) )
% 5.55/5.77 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27b ) @ V1l2 ) ) )
% 5.55/5.77 => ( ( p
% 5.55/5.77 @ ( ap
% 5.55/5.77 @ ( ap @ ( c_2Elist_2EEVERY @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) )
% 5.55/5.77 @ ( lam @ ( ty_2Epair_2Eprod @ A_27a @ A_27b )
% 5.55/5.77 @ ^ [V3x: $i] : ( ap @ V2P @ ( ap @ ( c_2Epair_2ESND @ A_27a @ A_27b ) @ V3x ) ) ) )
% 5.55/5.77 @ ( ap @ ( c_2Elist_2EZIP @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27b ) ) @ V0l1 ) @ V1l2 ) ) ) )
% 5.55/5.77 <=> ( p @ ( ap @ ( ap @ ( c_2Elist_2EEVERY @ A_27b ) @ V2P ) @ V1l2 ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2Eevery__zip__fst,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,V0l1: $i] :
% 5.55/5.77 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ! [V1l2: $i] :
% 5.55/5.77 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.77 => ! [V2P: $i] :
% 5.55/5.77 ( ( mem @ V2P @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l1 ) )
% 5.55/5.77 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27b ) @ V1l2 ) ) )
% 5.55/5.77 => ( ( p
% 5.55/5.77 @ ( ap
% 5.55/5.77 @ ( ap @ ( c_2Elist_2EEVERY @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) )
% 5.55/5.77 @ ( lam @ ( ty_2Epair_2Eprod @ A_27a @ A_27b )
% 5.55/5.77 @ ^ [V3x: $i] : ( ap @ V2P @ ( ap @ ( c_2Epair_2EFST @ A_27a @ A_27b ) @ V3x ) ) ) )
% 5.55/5.77 @ ( ap @ ( c_2Elist_2EZIP @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27b ) ) @ V0l1 ) @ V1l2 ) ) ) )
% 5.55/5.77 <=> ( p @ ( ap @ ( ap @ ( c_2Elist_2EEVERY @ A_27a ) @ V2P ) @ V0l1 ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2Eel__append3,axiom,
% 5.55/5.77 ! [A_27a: del,V0l1: $i] :
% 5.55/5.77 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ! [V1x: $i] :
% 5.55/5.77 ( ( mem @ V1x @ A_27a )
% 5.55/5.77 => ! [V2l2: $i] :
% 5.55/5.77 ( ( mem @ V2l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l1 ) ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V0l1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1x ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) @ V2l2 ) )
% 5.55/5.77 = V1x ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2Elupdate__append,axiom,
% 5.55/5.77 ! [A_27a: del,V0x: $i] :
% 5.55/5.77 ( ( mem @ V0x @ A_27a )
% 5.55/5.77 => ! [V1n: tp__ty_2Enum_2Enum,V2l1: $i] :
% 5.55/5.77 ( ( mem @ V2l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ! [V3l2: $i] :
% 5.55/5.77 ( ( mem @ V3l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2l1 ) ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELUPDATE @ A_27a ) @ V0x ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V2l1 ) @ V3l2 ) )
% 5.55/5.77 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELUPDATE @ A_27a ) @ V0x ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ V2l1 ) ) @ V3l2 ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2Elupdate__append2,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,V0v: $i] :
% 5.55/5.77 ( ( mem @ V0v @ A_27a )
% 5.55/5.77 => ! [V1l1: $i] :
% 5.55/5.77 ( ( mem @ V1l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ! [V2x: $i] :
% 5.55/5.77 ( ( mem @ V2x @ A_27a )
% 5.55/5.77 => ! [V3l2: $i] :
% 5.55/5.77 ( ( mem @ V3l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ! [V4l3: $i] :
% 5.55/5.77 ( ( mem @ V4l3 @ A_27b )
% 5.55/5.77 => ( ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELUPDATE @ A_27a ) @ V0v ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l1 ) ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V1l1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2x ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) @ V3l2 ) )
% 5.55/5.77 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V1l1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V0v ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) @ V3l2 ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2EHD__REVERSE,axiom,
% 5.55/5.77 ! [A_27a: del,V0x: $i] :
% 5.55/5.77 ( ( mem @ V0x @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ( ( V0x
% 5.55/5.77 != ( c_2Elist_2ENIL @ A_27a ) )
% 5.55/5.77 => ( ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ V0x ) )
% 5.55/5.77 = ( ap @ ( c_2Elist_2ELAST @ A_27a ) @ V0x ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2ELAST__REVERSE,axiom,
% 5.55/5.77 ! [A_27a: del,V0ls: $i] :
% 5.55/5.77 ( ( mem @ V0ls @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ( ( V0ls
% 5.55/5.77 != ( c_2Elist_2ENIL @ A_27a ) )
% 5.55/5.77 => ( ( ap @ ( c_2Elist_2ELAST @ A_27a ) @ ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ V0ls ) )
% 5.55/5.77 = ( ap @ ( c_2Elist_2EHD @ A_27a ) @ V0ls ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2ENOT__NIL__EQ__LENGTH__NOT__0,axiom,
% 5.55/5.77 ! [A_27a: del,V0x: $i] :
% 5.55/5.77 ( ( mem @ V0x @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ( ( V0x
% 5.55/5.77 != ( c_2Elist_2ENIL @ A_27a ) )
% 5.55/5.77 <=> ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0x ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2Elast__drop,axiom,
% 5.55/5.77 ! [A_27a: del,V0l: $i] :
% 5.55/5.77 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ! [V1n: tp__ty_2Enum_2Enum] :
% 5.55/5.77 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.77 => ( ( ap @ ( c_2Elist_2ELAST @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EDROP @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ V0l ) )
% 5.55/5.77 = ( ap @ ( c_2Elist_2ELAST @ A_27a ) @ V0l ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(ax_thm_2Elist_2EdropWhile__def,axiom,
% 5.55/5.77 ! [A_27a: del] :
% 5.55/5.77 ( ! [V0P: $i] :
% 5.55/5.77 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2Elist_2EdropWhile @ A_27a ) @ V0P ) @ ( c_2Elist_2ENIL @ A_27a ) )
% 5.55/5.77 = ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.77 & ! [V1P: $i] :
% 5.55/5.77 ( ( mem @ V1P @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ! [V2h: $i] :
% 5.55/5.77 ( ( mem @ V2h @ A_27a )
% 5.55/5.77 => ! [V3t: $i] :
% 5.55/5.77 ( ( mem @ V3t @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2Elist_2EdropWhile @ A_27a ) @ V1P ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2h ) @ V3t ) )
% 5.55/5.77 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ap @ V1P @ V2h ) ) @ ( ap @ ( ap @ ( c_2Elist_2EdropWhile @ A_27a ) @ V1P ) @ V3t ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2h ) @ V3t ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2EdropWhile__splitAtPki,axiom,
% 5.55/5.77 ! [A_27a: del,V0P: $i] :
% 5.55/5.77 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ( ( ap @ ( c_2Elist_2EdropWhile @ A_27a ) @ V0P )
% 5.55/5.77 = ( ap @ ( ap @ ( c_2Elist_2EsplitAtPki @ ( ty_2Elist_2Elist @ A_27a ) @ A_27a ) @ ( ap @ ( c_2Ecombin_2EC @ A_27a @ ty_2Enum_2Enum @ bool ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27a @ ( arr @ ty_2Enum_2Enum @ bool ) @ bool ) @ ( c_2Ecombin_2EK @ bool @ ty_2Enum_2Enum ) ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27a @ bool @ bool ) @ c_2Ebool_2E_7E ) @ V0P ) ) ) ) @ ( ap @ ( c_2Ecombin_2EK @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( c_2Ecombin_2EI @ ( ty_2Elist_2Elist @ A_27a ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2EdropWhile__eq__nil,axiom,
% 5.55/5.77 ! [A_27a: del,V0P: $i] :
% 5.55/5.77 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ! [V1ls: $i] :
% 5.55/5.77 ( ( mem @ V1ls @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ( ( ( ap @ ( ap @ ( c_2Elist_2EdropWhile @ A_27a ) @ V0P ) @ V1ls )
% 5.55/5.77 = ( c_2Elist_2ENIL @ A_27a ) )
% 5.55/5.77 <=> ( p @ ( ap @ ( ap @ ( c_2Elist_2EEVERY @ A_27a ) @ V0P ) @ V1ls ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2EMEM__dropWhile__IMP,axiom,
% 5.55/5.77 ! [A_27a: del,V0P: $i] :
% 5.55/5.77 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ! [V1ls: $i] :
% 5.55/5.77 ( ( mem @ V1ls @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ! [V2x: $i] :
% 5.55/5.77 ( ( mem @ V2x @ A_27a )
% 5.55/5.77 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EdropWhile @ A_27a ) @ V0P ) @ V1ls ) ) ) )
% 5.55/5.77 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V1ls ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2EHD__dropWhile,axiom,
% 5.55/5.77 ! [A_27a: del,V0P: $i] :
% 5.55/5.77 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ! [V1ls: $i] :
% 5.55/5.77 ( ( mem @ V1ls @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EEXISTS @ A_27a ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27a @ bool @ bool ) @ c_2Ebool_2E_7E ) @ V0P ) ) @ V1ls ) )
% 5.55/5.77 => ~ ( p @ ( ap @ V0P @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EdropWhile @ A_27a ) @ V0P ) @ V1ls ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2ELENGTH__dropWhile__LESS__EQ,axiom,
% 5.55/5.77 ! [A_27a: del,V0P: $i] :
% 5.55/5.77 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ! [V1ls: $i] :
% 5.55/5.77 ( ( mem @ V1ls @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EdropWhile @ A_27a ) @ V0P ) @ V1ls ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1ls ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2EdropWhile__APPEND__EVERY,axiom,
% 5.55/5.77 ! [A_27a: del,V0P: $i] :
% 5.55/5.77 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ! [V1l1: $i] :
% 5.55/5.77 ( ( mem @ V1l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ! [V2l2: $i] :
% 5.55/5.77 ( ( mem @ V2l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EEVERY @ A_27a ) @ V0P ) @ V1l1 ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2Elist_2EdropWhile @ A_27a ) @ V0P ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V1l1 ) @ V2l2 ) )
% 5.55/5.77 = ( ap @ ( ap @ ( c_2Elist_2EdropWhile @ A_27a ) @ V0P ) @ V2l2 ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2EdropWhile__APPEND__EXISTS,axiom,
% 5.55/5.77 ! [A_27a: del,V0P: $i] :
% 5.55/5.77 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ! [V1l1: $i] :
% 5.55/5.77 ( ( mem @ V1l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ! [V2l2: $i] :
% 5.55/5.77 ( ( mem @ V2l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EEXISTS @ A_27a ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27a @ bool @ bool ) @ c_2Ebool_2E_7E ) @ V0P ) ) @ V1l1 ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2Elist_2EdropWhile @ A_27a ) @ V0P ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V1l1 ) @ V2l2 ) )
% 5.55/5.77 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EdropWhile @ A_27a ) @ V0P ) @ V1l1 ) ) @ V2l2 ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2EEL__LENGTH__dropWhile__REVERSE,axiom,
% 5.55/5.77 ! [A_27a: del,V0P: $i] :
% 5.55/5.77 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ! [V1ls: $i] :
% 5.55/5.77 ( ( mem @ V1ls @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ! [V2k: tp__ty_2Enum_2Enum] :
% 5.55/5.77 ( ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EdropWhile @ A_27a ) @ V0P ) @ ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ V1ls ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V2k ) ) )
% 5.55/5.77 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V2k ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1ls ) ) ) )
% 5.55/5.77 => ( p @ ( ap @ V0P @ ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V2k ) ) @ V1ls ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2ELENGTH__TAKE__EQ,axiom,
% 5.55/5.77 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1xs: $i] :
% 5.55/5.77 ( ( mem @ V1xs @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ETAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1xs ) ) )
% 5.55/5.77 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1xs ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1xs ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2EIMP__EVERY__LUPDATE,axiom,
% 5.55/5.77 ! [A_27a: del,V0P: $i] :
% 5.55/5.77 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ! [V1xs: $i] :
% 5.55/5.77 ( ( mem @ V1xs @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ! [V2h: $i] :
% 5.55/5.77 ( ( mem @ V2h @ A_27a )
% 5.55/5.77 => ! [V3i: tp__ty_2Enum_2Enum] :
% 5.55/5.77 ( ( ( p @ ( ap @ V0P @ V2h ) )
% 5.55/5.77 & ( p @ ( ap @ ( ap @ ( c_2Elist_2EEVERY @ A_27a ) @ V0P ) @ V1xs ) ) )
% 5.55/5.77 => ( p @ ( ap @ ( ap @ ( c_2Elist_2EEVERY @ A_27a ) @ V0P ) @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELUPDATE @ A_27a ) @ V2h ) @ ( inj__ty_2Enum_2Enum @ V3i ) ) @ V1xs ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2EMAP__APPEND__MAP__EQ,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,A_27c: del,V0f1: $i] :
% 5.55/5.77 ( ( mem @ V0f1 @ ( arr @ A_27a @ A_27c ) )
% 5.55/5.77 => ! [V1g1: $i] :
% 5.55/5.77 ( ( mem @ V1g1 @ ( arr @ A_27b @ A_27c ) )
% 5.55/5.77 => ! [V2f2: $i] :
% 5.55/5.77 ( ( mem @ V2f2 @ ( arr @ A_27a @ A_27c ) )
% 5.55/5.77 => ! [V3g2: $i] :
% 5.55/5.77 ( ( mem @ V3g2 @ ( arr @ A_27b @ A_27c ) )
% 5.55/5.77 => ! [V4xs: $i] :
% 5.55/5.77 ( ( mem @ V4xs @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ! [V5ys: $i] :
% 5.55/5.77 ( ( mem @ V5ys @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.77 => ( ( ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27c ) @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27a @ A_27c ) @ V0f1 ) @ V4xs ) ) @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27b @ A_27c ) @ V1g1 ) @ V5ys ) )
% 5.55/5.77 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27c ) @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27a @ A_27c ) @ V2f2 ) @ V4xs ) ) @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27b @ A_27c ) @ V3g2 ) @ V5ys ) ) )
% 5.55/5.77 <=> ( ( ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27a @ A_27c ) @ V0f1 ) @ V4xs )
% 5.55/5.77 = ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27a @ A_27c ) @ V2f2 ) @ V4xs ) )
% 5.55/5.77 & ( ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27b @ A_27c ) @ V1g1 ) @ V5ys )
% 5.55/5.77 = ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27b @ A_27c ) @ V3g2 ) @ V5ys ) ) ) ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2ELUPDATE__SOME__MAP,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,V0xs: $i] :
% 5.55/5.77 ( ( mem @ V0xs @ ( ty_2Elist_2Elist @ ( ty_2Eoption_2Eoption @ A_27a ) ) )
% 5.55/5.77 => ! [V1n: tp__ty_2Enum_2Enum,V2f: $i] :
% 5.55/5.77 ( ( mem @ V2f @ ( arr @ A_27a @ A_27b ) )
% 5.55/5.77 => ! [V3h: $i] :
% 5.55/5.77 ( ( mem @ V3h @ A_27a )
% 5.55/5.77 => ( ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELUPDATE @ ( ty_2Eoption_2Eoption @ A_27b ) ) @ ( ap @ ( c_2Eoption_2ESOME @ A_27b ) @ ( ap @ V2f @ V3h ) ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ ( ty_2Eoption_2Eoption @ A_27a ) @ ( ty_2Eoption_2Eoption @ A_27b ) ) @ ( ap @ ( c_2Eoption_2EOPTION__MAP @ A_27a @ A_27b ) @ V2f ) ) @ V0xs ) )
% 5.55/5.77 = ( ap @ ( ap @ ( c_2Elist_2EMAP @ ( ty_2Eoption_2Eoption @ A_27a ) @ ( ty_2Eoption_2Eoption @ A_27b ) ) @ ( ap @ ( c_2Eoption_2EOPTION__MAP @ A_27a @ A_27b ) @ V2f ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELUPDATE @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V3h ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ V0xs ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2EZIP__EQ__NIL,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,V0l1: $i] :
% 5.55/5.77 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ! [V1l2: $i] :
% 5.55/5.77 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.77 => ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l1 ) )
% 5.55/5.77 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27b ) @ V1l2 ) ) )
% 5.55/5.77 => ( ( ( ap @ ( c_2Elist_2EZIP @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27b ) ) @ V0l1 ) @ V1l2 ) )
% 5.55/5.77 = ( c_2Elist_2ENIL @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) )
% 5.55/5.77 <=> ( ( V0l1
% 5.55/5.77 = ( c_2Elist_2ENIL @ A_27a ) )
% 5.55/5.77 & ( V1l2
% 5.55/5.77 = ( c_2Elist_2ENIL @ A_27b ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2ELUPDATE__SAME,axiom,
% 5.55/5.77 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1ls: $i] :
% 5.55/5.77 ( ( mem @ V1ls @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1ls ) ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELUPDATE @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1ls ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1ls )
% 5.55/5.77 = V1ls ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(ax_thm_2Elist_2EUNIQUE__DEF,axiom,
% 5.55/5.77 ! [A_27a: del,V0e: $i] :
% 5.55/5.77 ( ( mem @ V0e @ A_27a )
% 5.55/5.77 => ! [V1L: $i] :
% 5.55/5.77 ( ( mem @ V1L @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EUNIQUE @ A_27a ) @ V0e ) @ V1L ) )
% 5.55/5.77 <=> ? [V2L1: $i] :
% 5.55/5.77 ( ( mem @ V2L1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 & ? [V3L2: $i] :
% 5.55/5.77 ( ( mem @ V3L2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 & ( ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V2L1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V0e ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) @ V3L2 )
% 5.55/5.77 = V1L )
% 5.55/5.77 & ~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0e ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V2L1 ) ) )
% 5.55/5.77 & ~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0e ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V3L2 ) ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2EUNIQUE__FILTER,axiom,
% 5.55/5.77 ! [A_27a: del,V0e: $i] :
% 5.55/5.77 ( ( mem @ V0e @ A_27a )
% 5.55/5.77 => ! [V1L: $i] :
% 5.55/5.77 ( ( mem @ V1L @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EUNIQUE @ A_27a ) @ V0e ) @ V1L ) )
% 5.55/5.77 <=> ( ( ap @ ( ap @ ( c_2Elist_2EFILTER @ A_27a ) @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V0e ) ) @ V1L )
% 5.55/5.77 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V0e ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2EUNIQUE__LENGTH__FILTER,axiom,
% 5.55/5.77 ! [A_27a: del,V0e: $i] :
% 5.55/5.77 ( ( mem @ V0e @ A_27a )
% 5.55/5.77 => ! [V1L: $i] :
% 5.55/5.77 ( ( mem @ V1L @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EUNIQUE @ A_27a ) @ V0e ) @ V1L ) )
% 5.55/5.77 <=> ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EFILTER @ A_27a ) @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V0e ) ) @ V1L ) ) )
% 5.55/5.77 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(ax_thm_2Elist_2EOPT__MMAP__def,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del] :
% 5.55/5.77 ( ! [V0f: $i] :
% 5.55/5.77 ( ( mem @ V0f @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27a ) ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2Elist_2EOPT__MMAP @ A_27a @ A_27b ) @ V0f ) @ ( c_2Elist_2ENIL @ A_27b ) )
% 5.55/5.77 = ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) )
% 5.55/5.77 & ! [V1f: $i] :
% 5.55/5.77 ( ( mem @ V1f @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27a ) ) )
% 5.55/5.77 => ! [V2h0: $i] :
% 5.55/5.77 ( ( mem @ V2h0 @ A_27b )
% 5.55/5.77 => ! [V3t0: $i] :
% 5.55/5.77 ( ( mem @ V3t0 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2Elist_2EOPT__MMAP @ A_27a @ A_27b ) @ V1f ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27b ) @ V2h0 ) @ V3t0 ) )
% 5.55/5.77 = ( ap @ ( ap @ ( c_2Eoption_2EOPTION__BIND @ ( ty_2Elist_2Elist @ A_27a ) @ A_27a ) @ ( ap @ V1f @ V2h0 ) )
% 5.55/5.77 @ ( lam @ A_27a
% 5.55/5.77 @ ^ [V4h: $i] :
% 5.55/5.77 ( ap @ ( ap @ ( c_2Eoption_2EOPTION__BIND @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Elist_2EOPT__MMAP @ A_27a @ A_27b ) @ V1f ) @ V3t0 ) )
% 5.55/5.77 @ ( lam @ ( ty_2Elist_2Elist @ A_27a )
% 5.55/5.77 @ ^ [V5t: $i] : ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4h ) @ V5t ) ) ) ) ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2EOPT__MMAP__cong,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,V0f1: $i] :
% 5.55/5.77 ( ( mem @ V0f1 @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) )
% 5.55/5.77 => ! [V1f2: $i] :
% 5.55/5.77 ( ( mem @ V1f2 @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) )
% 5.55/5.77 => ! [V2x1: $i] :
% 5.55/5.77 ( ( mem @ V2x1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ! [V3x2: $i] :
% 5.55/5.77 ( ( mem @ V3x2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ( ( ( V2x1 = V3x2 )
% 5.55/5.77 & ! [V4a: $i] :
% 5.55/5.77 ( ( mem @ V4a @ A_27a )
% 5.55/5.77 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V4a ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V3x2 ) ) )
% 5.55/5.77 => ( ( ap @ V0f1 @ V4a )
% 5.55/5.77 = ( ap @ V1f2 @ V4a ) ) ) ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2Elist_2EOPT__MMAP @ A_27b @ A_27a ) @ V0f1 ) @ V2x1 )
% 5.55/5.77 = ( ap @ ( ap @ ( c_2Elist_2EOPT__MMAP @ A_27b @ A_27a ) @ V1f2 ) @ V3x2 ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2ELAST__compute,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del] :
% 5.55/5.77 ( ! [V0x: $i] :
% 5.55/5.77 ( ( mem @ V0x @ A_27a )
% 5.55/5.77 => ( ( ap @ ( c_2Elist_2ELAST @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V0x ) @ ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.77 = V0x ) )
% 5.55/5.77 & ! [V1h1: $i] :
% 5.55/5.77 ( ( mem @ V1h1 @ A_27b )
% 5.55/5.77 => ! [V2h2: $i] :
% 5.55/5.77 ( ( mem @ V2h2 @ A_27b )
% 5.55/5.77 => ! [V3t: $i] :
% 5.55/5.77 ( ( mem @ V3t @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.77 => ( ( ap @ ( c_2Elist_2ELAST @ A_27b ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27b ) @ V1h1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27b ) @ V2h2 ) @ V3t ) ) )
% 5.55/5.77 = ( ap @ ( c_2Elist_2ELAST @ A_27b ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27b ) @ V2h2 ) @ V3t ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2ETAKE__compute,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,A_27c: del] :
% 5.55/5.77 ( ! [V0l: $i] :
% 5.55/5.77 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2Elist_2ETAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ V0l )
% 5.55/5.77 = ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.77 & ! [V1n: tp__ty_2Enum_2Enum] :
% 5.55/5.77 ( ( ap @ ( ap @ ( c_2Elist_2ETAKE @ A_27b ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) @ ( c_2Elist_2ENIL @ A_27b ) )
% 5.55/5.77 = ( c_2Elist_2ENIL @ A_27b ) )
% 5.55/5.77 & ! [V2n: tp__ty_2Enum_2Enum] :
% 5.55/5.77 ( ( ap @ ( ap @ ( c_2Elist_2ETAKE @ A_27b ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) @ ( c_2Elist_2ENIL @ A_27b ) )
% 5.55/5.77 = ( c_2Elist_2ENIL @ A_27b ) )
% 5.55/5.77 & ! [V3n: tp__ty_2Enum_2Enum,V4h: $i] :
% 5.55/5.77 ( ( mem @ V4h @ A_27c )
% 5.55/5.77 => ! [V5t: $i] :
% 5.55/5.77 ( ( mem @ V5t @ ( ty_2Elist_2Elist @ A_27c ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2Elist_2ETAKE @ A_27c ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27c ) @ V4h ) @ V5t ) )
% 5.55/5.77 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27c ) @ V4h ) @ ( ap @ ( ap @ ( c_2Elist_2ETAKE @ A_27c ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ V5t ) ) ) ) )
% 5.55/5.77 & ! [V6n: tp__ty_2Enum_2Enum,V7h: $i] :
% 5.55/5.77 ( ( mem @ V7h @ A_27c )
% 5.55/5.77 => ! [V8t: $i] :
% 5.55/5.77 ( ( mem @ V8t @ ( ty_2Elist_2Elist @ A_27c ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2Elist_2ETAKE @ A_27c ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V6n ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27c ) @ V7h ) @ V8t ) )
% 5.55/5.77 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27c ) @ V7h ) @ ( ap @ ( ap @ ( c_2Elist_2ETAKE @ A_27c ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V6n ) ) ) ) @ V8t ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2EDROP__compute,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,A_27c: del] :
% 5.55/5.77 ( ! [V0l: $i] :
% 5.55/5.77 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2Elist_2EDROP @ A_27a ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ V0l )
% 5.55/5.77 = V0l ) )
% 5.55/5.77 & ! [V1n: tp__ty_2Enum_2Enum] :
% 5.55/5.77 ( ( ap @ ( ap @ ( c_2Elist_2EDROP @ A_27b ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) @ ( c_2Elist_2ENIL @ A_27b ) )
% 5.55/5.77 = ( c_2Elist_2ENIL @ A_27b ) )
% 5.55/5.77 & ! [V2n: tp__ty_2Enum_2Enum] :
% 5.55/5.77 ( ( ap @ ( ap @ ( c_2Elist_2EDROP @ A_27b ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) @ ( c_2Elist_2ENIL @ A_27b ) )
% 5.55/5.77 = ( c_2Elist_2ENIL @ A_27b ) )
% 5.55/5.77 & ! [V3n: tp__ty_2Enum_2Enum,V4h: $i] :
% 5.55/5.77 ( ( mem @ V4h @ A_27c )
% 5.55/5.77 => ! [V5t: $i] :
% 5.55/5.77 ( ( mem @ V5t @ ( ty_2Elist_2Elist @ A_27c ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2Elist_2EDROP @ A_27c ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27c ) @ V4h ) @ V5t ) )
% 5.55/5.77 = ( ap @ ( ap @ ( c_2Elist_2EDROP @ A_27c ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ V5t ) ) ) )
% 5.55/5.77 & ! [V6n: tp__ty_2Enum_2Enum,V7h: $i] :
% 5.55/5.77 ( ( mem @ V7h @ A_27c )
% 5.55/5.77 => ! [V8t: $i] :
% 5.55/5.77 ( ( mem @ V8t @ ( ty_2Elist_2Elist @ A_27c ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2Elist_2EDROP @ A_27c ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V6n ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27c ) @ V7h ) @ V8t ) )
% 5.55/5.77 = ( ap @ ( ap @ ( c_2Elist_2EDROP @ A_27c ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V6n ) ) ) ) @ V8t ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(ax_thm_2Elist_2EoHD__def,axiom,
% 5.55/5.77 ! [A_27a: del,V0l: $i] :
% 5.55/5.77 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ( ( ap @ ( c_2Elist_2EoHD @ A_27a ) @ V0l )
% 5.55/5.77 = ( ap @ ( ap @ ( ap @ ( c_2Elist_2Elist__CASE @ A_27a @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ V0l ) @ ( c_2Eoption_2ENONE @ A_27a ) )
% 5.55/5.77 @ ( lam @ A_27a
% 5.55/5.77 @ ^ [V1h: $i] :
% 5.55/5.77 ( lam @ ( ty_2Elist_2Elist @ A_27a )
% 5.55/5.77 @ ^ [V2v1: $i] : ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V1h ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2EoHD__thm,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,V0h: $i] :
% 5.55/5.77 ( ( mem @ V0h @ A_27b )
% 5.55/5.77 => ! [V1t: $i] :
% 5.55/5.77 ( ( mem @ V1t @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.77 => ( ( ( ap @ ( c_2Elist_2EoHD @ A_27a ) @ ( c_2Elist_2ENIL @ A_27a ) )
% 5.55/5.77 = ( c_2Eoption_2ENONE @ A_27a ) )
% 5.55/5.77 & ( ( ap @ ( c_2Elist_2EoHD @ A_27b ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27b ) @ V0h ) @ V1t ) )
% 5.55/5.77 = ( ap @ ( c_2Eoption_2ESOME @ A_27b ) @ V0h ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(ax_thm_2Elist_2EoEL__def,axiom,
% 5.55/5.77 ! [A_27a: del] :
% 5.55/5.77 ( ! [V0n: tp__ty_2Enum_2Enum] :
% 5.55/5.77 ( ( ap @ ( ap @ ( c_2Elist_2EoEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( c_2Elist_2ENIL @ A_27a ) )
% 5.55/5.77 = ( c_2Eoption_2ENONE @ A_27a ) )
% 5.55/5.77 & ! [V1n: tp__ty_2Enum_2Enum,V2x: $i] :
% 5.55/5.77 ( ( mem @ V2x @ A_27a )
% 5.55/5.77 => ! [V3xs: $i] :
% 5.55/5.77 ( ( mem @ V3xs @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2Elist_2EoEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2x ) @ V3xs ) )
% 5.55/5.77 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) @ ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V2x ) ) @ ( ap @ ( ap @ ( c_2Elist_2EoEL @ A_27a ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ V3xs ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2EoEL__THM,axiom,
% 5.55/5.77 ! [A_27a: del,V0xs: $i] :
% 5.55/5.77 ( ( mem @ V0xs @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ! [V1n: tp__ty_2Enum_2Enum] :
% 5.55/5.77 ( ( ap @ ( ap @ ( c_2Elist_2EoEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ V0xs )
% 5.55/5.77 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0xs ) ) ) @ ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ V0xs ) ) ) @ ( c_2Eoption_2ENONE @ A_27a ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2EoEL__EQ__EL,axiom,
% 5.55/5.77 ! [A_27a: del,V0xs: $i] :
% 5.55/5.77 ( ( mem @ V0xs @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ! [V1n: tp__ty_2Enum_2Enum,V2y: $i] :
% 5.55/5.77 ( ( mem @ V2y @ A_27a )
% 5.55/5.77 => ( ( ( ap @ ( ap @ ( c_2Elist_2EoEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ V0xs )
% 5.55/5.77 = ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V2y ) )
% 5.55/5.77 <=> ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0xs ) ) )
% 5.55/5.77 & ( V2y
% 5.55/5.77 = ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ V0xs ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2EoEL__DROP,axiom,
% 5.55/5.77 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1m: tp__ty_2Enum_2Enum,V2xs: $i] :
% 5.55/5.77 ( ( mem @ V2xs @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2Elist_2EoEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( ap @ ( c_2Elist_2EDROP @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ V2xs ) )
% 5.55/5.77 = ( ap @ ( ap @ ( c_2Elist_2EoEL @ A_27a ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ V2xs ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2EoEL__TAKE__E,axiom,
% 5.55/5.77 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1m: tp__ty_2Enum_2Enum,V2xs: $i] :
% 5.55/5.77 ( ( mem @ V2xs @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ! [V3x: $i] :
% 5.55/5.77 ( ( mem @ V3x @ A_27a )
% 5.55/5.77 => ( ( ( ap @ ( ap @ ( c_2Elist_2EoEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( ap @ ( c_2Elist_2ETAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ V2xs ) )
% 5.55/5.77 = ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V3x ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2Elist_2EoEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V2xs )
% 5.55/5.77 = ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V3x ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2EoEL__LUPDATE,axiom,
% 5.55/5.77 ! [A_27a: del,V0xs: $i] :
% 5.55/5.77 ( ( mem @ V0xs @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ! [V1i: tp__ty_2Enum_2Enum,V2n: tp__ty_2Enum_2Enum,V3x: $i] :
% 5.55/5.77 ( ( mem @ V3x @ A_27a )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2Elist_2EoEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELUPDATE @ A_27a ) @ V3x ) @ ( inj__ty_2Enum_2Enum @ V1i ) ) @ V0xs ) )
% 5.55/5.77 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V1i ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2EoEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ V0xs ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1i ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0xs ) ) ) @ ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V3x ) ) @ ( c_2Eoption_2ENONE @ A_27a ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Elist_2Elazy__list__case__compute,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del] :
% 5.55/5.77 ( ( c_2Elist_2Elist__CASE @ A_27a @ A_27b )
% 5.55/5.77 = ( lam @ ( ty_2Elist_2Elist @ A_27a )
% 5.55/5.77 @ ^ [V0l: $i] :
% 5.55/5.77 ( lam @ A_27b
% 5.55/5.77 @ ^ [V1b: $i] :
% 5.55/5.77 ( lam @ ( arr @ A_27a @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ A_27b ) )
% 5.55/5.77 @ ^ [V2f: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ A_27b ) @ ( ap @ ( c_2Elist_2ENULL @ A_27a ) @ V0l ) ) @ V1b ) @ ( ap @ ( ap @ V2f @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ V0l ) ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V0l ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 %------------------------------------------------------------------------------
% 5.55/5.77 %------------------------------------------------------------------------------
% 5.55/5.77 thf(conj_thm_2Eres__quan_2ERES__FORALL,axiom,
% 5.55/5.77 ! [A_27a: del,V0P: $i] :
% 5.55/5.77 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ! [V1f: $i] :
% 5.55/5.77 ( ( mem @ V1f @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2ERES__FORALL @ A_27a ) @ V0P ) @ V1f ) )
% 5.55/5.77 <=> ! [V2x: $i] :
% 5.55/5.77 ( ( mem @ V2x @ A_27a )
% 5.55/5.77 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V0P ) )
% 5.55/5.77 => ( p @ ( ap @ V1f @ V2x ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Eres__quan_2ERES__EXISTS,axiom,
% 5.55/5.77 ! [A_27a: del,V0P: $i] :
% 5.55/5.77 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ! [V1f: $i] :
% 5.55/5.77 ( ( mem @ V1f @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2ERES__EXISTS @ A_27a ) @ V0P ) @ V1f ) )
% 5.55/5.77 <=> ? [V2x: $i] :
% 5.55/5.77 ( ( mem @ V2x @ A_27a )
% 5.55/5.77 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V0P ) )
% 5.55/5.77 & ( p @ ( ap @ V1f @ V2x ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Eres__quan_2ERES__EXISTS__UNIQUE,axiom,
% 5.55/5.77 ! [A_27a: del,V0P: $i] :
% 5.55/5.77 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ! [V1f: $i] :
% 5.55/5.77 ( ( mem @ V1f @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2ERES__EXISTS__UNIQUE @ A_27a ) @ V0P ) @ V1f ) )
% 5.55/5.77 <=> ( ( p
% 5.55/5.77 @ ( ap @ ( ap @ ( c_2Ebool_2ERES__EXISTS @ A_27a ) @ V0P )
% 5.55/5.77 @ ( lam @ A_27a
% 5.55/5.77 @ ^ [V2x: $i] : ( ap @ V1f @ V2x ) ) ) )
% 5.55/5.77 & ( p
% 5.55/5.77 @ ( ap @ ( ap @ ( c_2Ebool_2ERES__FORALL @ A_27a ) @ V0P )
% 5.55/5.77 @ ( lam @ A_27a
% 5.55/5.77 @ ^ [V3x: $i] :
% 5.55/5.77 ( ap @ ( ap @ ( c_2Ebool_2ERES__FORALL @ A_27a ) @ V0P )
% 5.55/5.77 @ ( lam @ A_27a
% 5.55/5.77 @ ^ [V4y: $i] : ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V1f @ V3x ) ) @ ( ap @ V1f @ V4y ) ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V3x ) @ V4y ) ) ) ) ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Eres__quan_2ERES__SELECT,axiom,
% 5.55/5.77 ! [A_27a: del,V0P: $i] :
% 5.55/5.77 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ! [V1f: $i] :
% 5.55/5.77 ( ( mem @ V1f @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2Ebool_2ERES__SELECT @ A_27a ) @ V0P ) @ V1f )
% 5.55/5.77 = ( ap @ ( c_2Emin_2E_40 @ A_27a )
% 5.55/5.77 @ ( lam @ A_27a
% 5.55/5.77 @ ^ [V2x: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V0P ) ) @ ( ap @ V1f @ V2x ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Eres__quan_2ERES__FORALL__CONJ__DIST,axiom,
% 5.55/5.77 ! [A_27a: del,V0P: $i] :
% 5.55/5.77 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ! [V1Q: $i] :
% 5.55/5.77 ( ( mem @ V1Q @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ! [V2R: $i] :
% 5.55/5.77 ( ( mem @ V2R @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ( ( p
% 5.55/5.77 @ ( ap @ ( ap @ ( c_2Ebool_2ERES__FORALL @ A_27a ) @ V0P )
% 5.55/5.77 @ ( lam @ A_27a
% 5.55/5.77 @ ^ [V3i: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V1Q @ V3i ) ) @ ( ap @ V2R @ V3i ) ) ) ) )
% 5.55/5.77 <=> ( ( p
% 5.55/5.77 @ ( ap @ ( ap @ ( c_2Ebool_2ERES__FORALL @ A_27a ) @ V0P )
% 5.55/5.77 @ ( lam @ A_27a
% 5.55/5.77 @ ^ [V4i: $i] : ( ap @ V1Q @ V4i ) ) ) )
% 5.55/5.77 & ( p
% 5.55/5.77 @ ( ap @ ( ap @ ( c_2Ebool_2ERES__FORALL @ A_27a ) @ V0P )
% 5.55/5.77 @ ( lam @ A_27a
% 5.55/5.77 @ ^ [V5i: $i] : ( ap @ V2R @ V5i ) ) ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Eres__quan_2ERES__FORALL__DISJ__DIST,axiom,
% 5.55/5.77 ! [A_27a: del,V0P: $i] :
% 5.55/5.77 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ! [V1Q: $i] :
% 5.55/5.77 ( ( mem @ V1Q @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ! [V2R: $i] :
% 5.55/5.77 ( ( mem @ V2R @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ( ( p
% 5.55/5.77 @ ( ap
% 5.55/5.77 @ ( ap @ ( c_2Ebool_2ERES__FORALL @ A_27a )
% 5.55/5.77 @ ( lam @ A_27a
% 5.55/5.77 @ ^ [V3j: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V0P @ V3j ) ) @ ( ap @ V1Q @ V3j ) ) ) )
% 5.55/5.77 @ ( lam @ A_27a
% 5.55/5.77 @ ^ [V4i: $i] : ( ap @ V2R @ V4i ) ) ) )
% 5.55/5.77 <=> ( ( p
% 5.55/5.77 @ ( ap @ ( ap @ ( c_2Ebool_2ERES__FORALL @ A_27a ) @ V0P )
% 5.55/5.77 @ ( lam @ A_27a
% 5.55/5.77 @ ^ [V5i: $i] : ( ap @ V2R @ V5i ) ) ) )
% 5.55/5.77 & ( p
% 5.55/5.77 @ ( ap @ ( ap @ ( c_2Ebool_2ERES__FORALL @ A_27a ) @ V1Q )
% 5.55/5.77 @ ( lam @ A_27a
% 5.55/5.77 @ ^ [V6i: $i] : ( ap @ V2R @ V6i ) ) ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Eres__quan_2ERES__FORALL__UNIQUE,axiom,
% 5.55/5.77 ! [A_27a: del,V0P: $i] :
% 5.55/5.77 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ! [V1j: $i] :
% 5.55/5.77 ( ( mem @ V1j @ A_27a )
% 5.55/5.77 => ( ( p
% 5.55/5.77 @ ( ap @ ( ap @ ( c_2Ebool_2ERES__FORALL @ A_27a ) @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V1j ) )
% 5.55/5.77 @ ( lam @ A_27a
% 5.55/5.77 @ ^ [V2i: $i] : ( ap @ V0P @ V2i ) ) ) )
% 5.55/5.77 <=> ( p @ ( ap @ V0P @ V1j ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Eres__quan_2ERES__FORALL__FORALL,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.55/5.77 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ! [V1R: $i] :
% 5.55/5.77 ( ( mem @ V1R @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.55/5.77 => ! [V2x: $i] :
% 5.55/5.77 ( ( mem @ V2x @ A_27b )
% 5.55/5.77 => ( ! [V3x: $i] :
% 5.55/5.77 ( ( mem @ V3x @ A_27b )
% 5.55/5.77 => ( p
% 5.55/5.77 @ ( ap @ ( ap @ ( c_2Ebool_2ERES__FORALL @ A_27a ) @ V0P )
% 5.55/5.77 @ ( lam @ A_27a
% 5.55/5.77 @ ^ [V4i: $i] : ( ap @ ( ap @ V1R @ V4i ) @ V3x ) ) ) ) )
% 5.55/5.77 <=> ( p
% 5.55/5.77 @ ( ap @ ( ap @ ( c_2Ebool_2ERES__FORALL @ A_27a ) @ V0P )
% 5.55/5.77 @ ( lam @ A_27a
% 5.55/5.77 @ ^ [V5i: $i] :
% 5.55/5.77 ( ap @ ( c_2Ebool_2E_21 @ A_27b )
% 5.55/5.77 @ ( lam @ A_27b
% 5.55/5.77 @ ^ [V6x: $i] : ( ap @ ( ap @ V1R @ V5i ) @ V6x ) ) ) ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Eres__quan_2ERES__FORALL__REORDER,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.55/5.77 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ! [V1Q: $i] :
% 5.55/5.77 ( ( mem @ V1Q @ ( arr @ A_27b @ bool ) )
% 5.55/5.77 => ! [V2R: $i] :
% 5.55/5.77 ( ( mem @ V2R @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.55/5.77 => ( ( p
% 5.55/5.77 @ ( ap @ ( ap @ ( c_2Ebool_2ERES__FORALL @ A_27a ) @ V0P )
% 5.55/5.77 @ ( lam @ A_27a
% 5.55/5.77 @ ^ [V3i: $i] :
% 5.55/5.77 ( ap @ ( ap @ ( c_2Ebool_2ERES__FORALL @ A_27b ) @ V1Q )
% 5.55/5.77 @ ( lam @ A_27b
% 5.55/5.77 @ ^ [V4j: $i] : ( ap @ ( ap @ V2R @ V3i ) @ V4j ) ) ) ) ) )
% 5.55/5.77 <=> ( p
% 5.55/5.77 @ ( ap @ ( ap @ ( c_2Ebool_2ERES__FORALL @ A_27b ) @ V1Q )
% 5.55/5.77 @ ( lam @ A_27b
% 5.55/5.77 @ ^ [V5j: $i] :
% 5.55/5.77 ( ap @ ( ap @ ( c_2Ebool_2ERES__FORALL @ A_27a ) @ V0P )
% 5.55/5.77 @ ( lam @ A_27a
% 5.55/5.77 @ ^ [V6i: $i] : ( ap @ ( ap @ V2R @ V6i ) @ V5j ) ) ) ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Eres__quan_2ERES__FORALL__T,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,A_27c: del,V0P: $i] :
% 5.55/5.77 ( ( mem @ V0P @ A_27a )
% 5.55/5.77 => ! [V1s: $i] :
% 5.55/5.77 ( ( mem @ V1s @ ( arr @ A_27b @ bool ) )
% 5.55/5.77 => ! [V2x: $i] :
% 5.55/5.77 ( ( mem @ V2x @ A_27c )
% 5.55/5.77 => ( p
% 5.55/5.77 @ ( ap @ ( ap @ ( c_2Ebool_2ERES__FORALL @ A_27b ) @ V1s )
% 5.55/5.77 @ ( lam @ A_27b
% 5.55/5.77 @ ^ [V3x: $i] : c_2Ebool_2ET ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Eres__quan_2ERES__FORALL__F,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,A_27c: del,V0P: $i] :
% 5.55/5.77 ( ( mem @ V0P @ A_27a )
% 5.55/5.77 => ! [V1s: $i] :
% 5.55/5.77 ( ( mem @ V1s @ ( arr @ A_27b @ bool ) )
% 5.55/5.77 => ! [V2x: $i] :
% 5.55/5.77 ( ( mem @ V2x @ A_27c )
% 5.55/5.77 => ( ( p
% 5.55/5.77 @ ( ap @ ( ap @ ( c_2Ebool_2ERES__FORALL @ A_27b ) @ V1s )
% 5.55/5.77 @ ( lam @ A_27b
% 5.55/5.77 @ ^ [V3x: $i] : c_2Ebool_2EF ) ) )
% 5.55/5.77 <=> ( V1s
% 5.55/5.77 = ( c_2Epred__set_2EEMPTY @ A_27b ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Eres__quan_2ERES__FORALL__EMPTY,axiom,
% 5.55/5.77 ! [A_27a: del,V0p: $i] :
% 5.55/5.77 ( ( mem @ V0p @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2ERES__FORALL @ A_27a ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) @ V0p ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Eres__quan_2ERES__FORALL__UNIV,axiom,
% 5.55/5.77 ! [A_27a: del,V0p: $i] :
% 5.55/5.77 ( ( mem @ V0p @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2ERES__FORALL @ A_27a ) @ ( c_2Epred__set_2EUNIV @ A_27a ) ) @ V0p ) )
% 5.55/5.77 <=> ( p @ ( ap @ ( c_2Ebool_2E_21 @ A_27a ) @ V0p ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Eres__quan_2ERES__FORALL__NULL,axiom,
% 5.55/5.77 ! [A_27a: del,V0p: $i] :
% 5.55/5.77 ( ( mem @ V0p @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ! [V1m: $i] :
% 5.55/5.77 ( ( mem @ V1m @ bool )
% 5.55/5.77 => ( ( p
% 5.55/5.77 @ ( ap @ ( ap @ ( c_2Ebool_2ERES__FORALL @ A_27a ) @ V0p )
% 5.55/5.77 @ ( lam @ A_27a
% 5.55/5.77 @ ^ [V2x: $i] : V1m ) ) )
% 5.55/5.77 <=> ( ( V0p
% 5.55/5.77 = ( c_2Epred__set_2EEMPTY @ A_27a ) )
% 5.55/5.77 | ( p @ V1m ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Eres__quan_2ENOT__RES__FORALL,axiom,
% 5.55/5.77 ! [A_27a: del,V0P: $i] :
% 5.55/5.77 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ! [V1s: $i] :
% 5.55/5.77 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ( ~ ( p
% 5.55/5.77 @ ( ap @ ( ap @ ( c_2Ebool_2ERES__FORALL @ A_27a ) @ V1s )
% 5.55/5.77 @ ( lam @ A_27a
% 5.55/5.77 @ ^ [V2x: $i] : ( ap @ V0P @ V2x ) ) ) )
% 5.55/5.77 <=> ( p
% 5.55/5.77 @ ( ap @ ( ap @ ( c_2Ebool_2ERES__EXISTS @ A_27a ) @ V1s )
% 5.55/5.77 @ ( lam @ A_27a
% 5.55/5.77 @ ^ [V3x: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0P @ V3x ) ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Eres__quan_2ERES__FORALL__NOT__EMPTY,axiom,
% 5.55/5.77 ! [A_27a: del,V0P: $i] :
% 5.55/5.77 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ! [V1s: $i] :
% 5.55/5.77 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ( ~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2ERES__FORALL @ A_27a ) @ V1s ) @ V0P ) )
% 5.55/5.77 => ( V1s
% 5.55/5.77 != ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Eres__quan_2ERES__FORALL__SUBSET,axiom,
% 5.55/5.77 ! [A_27a: del,V0P: $i] :
% 5.55/5.77 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ! [V1s: $i] :
% 5.55/5.77 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ! [V2t: $i] :
% 5.55/5.77 ( ( mem @ V2t @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V1s ) @ V2t ) )
% 5.55/5.77 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2ERES__FORALL @ A_27a ) @ V2t ) @ V0P ) )
% 5.55/5.77 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2ERES__FORALL @ A_27a ) @ V1s ) @ V0P ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Eres__quan_2ERES__FORALL__UNION,axiom,
% 5.55/5.77 ! [A_27a: del,V0P: $i] :
% 5.55/5.77 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ! [V1s: $i] :
% 5.55/5.77 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ! [V2t: $i] :
% 5.55/5.77 ( ( mem @ V2t @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2ERES__FORALL @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ V1s ) @ V2t ) ) @ V0P ) )
% 5.55/5.77 <=> ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2ERES__FORALL @ A_27a ) @ V1s ) @ V0P ) )
% 5.55/5.77 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2ERES__FORALL @ A_27a ) @ V2t ) @ V0P ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Eres__quan_2ERES__FORALL__DIFF,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.55/5.77 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ! [V1s: $i] :
% 5.55/5.77 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ! [V2t: $i] :
% 5.55/5.77 ( ( mem @ V2t @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ! [V3x: $i] :
% 5.55/5.77 ( ( mem @ V3x @ A_27b )
% 5.55/5.77 => ( ( p
% 5.55/5.77 @ ( ap @ ( ap @ ( c_2Ebool_2ERES__FORALL @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDIFF @ A_27a ) @ V1s ) @ V2t ) )
% 5.55/5.77 @ ( lam @ A_27a
% 5.55/5.77 @ ^ [V4x: $i] : ( ap @ V0P @ V4x ) ) ) )
% 5.55/5.77 <=> ( p
% 5.55/5.77 @ ( ap @ ( ap @ ( c_2Ebool_2ERES__FORALL @ A_27a ) @ V1s )
% 5.55/5.77 @ ( lam @ A_27a
% 5.55/5.77 @ ^ [V5x: $i] : ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ c_2Ebool_2E_7E @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V5x ) @ V2t ) ) ) @ ( ap @ V0P @ V5x ) ) ) ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Eres__quan_2EIN__BIGINTER__RES__FORALL,axiom,
% 5.55/5.77 ! [A_27a: del,V0x: $i] :
% 5.55/5.77 ( ( mem @ V0x @ A_27a )
% 5.55/5.77 => ! [V1sos: $i] :
% 5.55/5.77 ( ( mem @ V1sos @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) )
% 5.55/5.77 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0x ) @ ( ap @ ( c_2Epred__set_2EBIGINTER @ A_27a ) @ V1sos ) ) )
% 5.55/5.77 <=> ( p
% 5.55/5.77 @ ( ap @ ( ap @ ( c_2Ebool_2ERES__FORALL @ ( arr @ A_27a @ bool ) ) @ V1sos )
% 5.55/5.77 @ ( lam @ ( arr @ A_27a @ bool )
% 5.55/5.77 @ ^ [V2s: $i] : ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0x ) @ V2s ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Eres__quan_2ERES__FORALL__BIGUNION,axiom,
% 5.55/5.77 ! [A_27a: del,V0P: $i] :
% 5.55/5.77 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ! [V1sos: $i] :
% 5.55/5.77 ( ( mem @ V1sos @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) )
% 5.55/5.77 => ( ( p
% 5.55/5.77 @ ( ap @ ( ap @ ( c_2Ebool_2ERES__FORALL @ A_27a ) @ ( ap @ ( c_2Epred__set_2EBIGUNION @ A_27a ) @ V1sos ) )
% 5.55/5.77 @ ( lam @ A_27a
% 5.55/5.77 @ ^ [V2x: $i] : ( ap @ V0P @ V2x ) ) ) )
% 5.55/5.77 <=> ( p
% 5.55/5.77 @ ( ap @ ( ap @ ( c_2Ebool_2ERES__FORALL @ ( arr @ A_27a @ bool ) ) @ V1sos )
% 5.55/5.77 @ ( lam @ ( arr @ A_27a @ bool )
% 5.55/5.77 @ ^ [V3s: $i] :
% 5.55/5.77 ( ap @ ( ap @ ( c_2Ebool_2ERES__FORALL @ A_27a ) @ V3s )
% 5.55/5.77 @ ( lam @ A_27a
% 5.55/5.77 @ ^ [V4x: $i] : ( ap @ V0P @ V4x ) ) ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Eres__quan_2ERES__FORALL__BIGINTER,axiom,
% 5.55/5.77 ! [A_27a: del,V0P: $i] :
% 5.55/5.77 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ! [V1sos: $i] :
% 5.55/5.77 ( ( mem @ V1sos @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) )
% 5.55/5.77 => ( ( p
% 5.55/5.77 @ ( ap @ ( ap @ ( c_2Ebool_2ERES__FORALL @ A_27a ) @ ( ap @ ( c_2Epred__set_2EBIGINTER @ A_27a ) @ V1sos ) )
% 5.55/5.77 @ ( lam @ A_27a
% 5.55/5.77 @ ^ [V2x: $i] : ( ap @ V0P @ V2x ) ) ) )
% 5.55/5.77 <=> ! [V3x: $i] :
% 5.55/5.77 ( ( mem @ V3x @ A_27a )
% 5.55/5.77 => ( ( p
% 5.55/5.77 @ ( ap @ ( ap @ ( c_2Ebool_2ERES__FORALL @ ( arr @ A_27a @ bool ) ) @ V1sos )
% 5.55/5.77 @ ( lam @ ( arr @ A_27a @ bool )
% 5.55/5.77 @ ^ [V4s: $i] : ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3x ) @ V4s ) ) ) )
% 5.55/5.77 => ( p @ ( ap @ V0P @ V3x ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Eres__quan_2ERES__EXISTS__DISJ__DIST,axiom,
% 5.55/5.77 ! [A_27a: del,V0P: $i] :
% 5.55/5.77 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ! [V1Q: $i] :
% 5.55/5.77 ( ( mem @ V1Q @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ! [V2R: $i] :
% 5.55/5.77 ( ( mem @ V2R @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ( ( p
% 5.55/5.77 @ ( ap @ ( ap @ ( c_2Ebool_2ERES__EXISTS @ A_27a ) @ V0P )
% 5.55/5.77 @ ( lam @ A_27a
% 5.55/5.77 @ ^ [V3i: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V1Q @ V3i ) ) @ ( ap @ V2R @ V3i ) ) ) ) )
% 5.55/5.77 <=> ( ( p
% 5.55/5.77 @ ( ap @ ( ap @ ( c_2Ebool_2ERES__EXISTS @ A_27a ) @ V0P )
% 5.55/5.77 @ ( lam @ A_27a
% 5.55/5.77 @ ^ [V4i: $i] : ( ap @ V1Q @ V4i ) ) ) )
% 5.55/5.77 | ( p
% 5.55/5.77 @ ( ap @ ( ap @ ( c_2Ebool_2ERES__EXISTS @ A_27a ) @ V0P )
% 5.55/5.77 @ ( lam @ A_27a
% 5.55/5.77 @ ^ [V5i: $i] : ( ap @ V2R @ V5i ) ) ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Eres__quan_2ERES__DISJ__EXISTS__DIST,axiom,
% 5.55/5.77 ! [A_27a: del,V0P: $i] :
% 5.55/5.77 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ! [V1Q: $i] :
% 5.55/5.77 ( ( mem @ V1Q @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ! [V2R: $i] :
% 5.55/5.77 ( ( mem @ V2R @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ( ( p
% 5.55/5.77 @ ( ap
% 5.55/5.77 @ ( ap @ ( c_2Ebool_2ERES__EXISTS @ A_27a )
% 5.55/5.77 @ ( lam @ A_27a
% 5.55/5.77 @ ^ [V3i: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V0P @ V3i ) ) @ ( ap @ V1Q @ V3i ) ) ) )
% 5.55/5.77 @ ( lam @ A_27a
% 5.55/5.77 @ ^ [V4i: $i] : ( ap @ V2R @ V4i ) ) ) )
% 5.55/5.77 <=> ( ( p
% 5.55/5.77 @ ( ap @ ( ap @ ( c_2Ebool_2ERES__EXISTS @ A_27a ) @ V0P )
% 5.55/5.77 @ ( lam @ A_27a
% 5.55/5.77 @ ^ [V5i: $i] : ( ap @ V2R @ V5i ) ) ) )
% 5.55/5.77 | ( p
% 5.55/5.77 @ ( ap @ ( ap @ ( c_2Ebool_2ERES__EXISTS @ A_27a ) @ V1Q )
% 5.55/5.77 @ ( lam @ A_27a
% 5.55/5.77 @ ^ [V6i: $i] : ( ap @ V2R @ V6i ) ) ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Eres__quan_2ERES__EXISTS__EQUAL,axiom,
% 5.55/5.77 ! [A_27a: del,V0P: $i] :
% 5.55/5.77 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ! [V1j: $i] :
% 5.55/5.77 ( ( mem @ V1j @ A_27a )
% 5.55/5.77 => ( ( p
% 5.55/5.77 @ ( ap @ ( ap @ ( c_2Ebool_2ERES__EXISTS @ A_27a ) @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V1j ) )
% 5.55/5.77 @ ( lam @ A_27a
% 5.55/5.77 @ ^ [V2i: $i] : ( ap @ V0P @ V2i ) ) ) )
% 5.55/5.77 <=> ( p @ ( ap @ V0P @ V1j ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Eres__quan_2ERES__EXISTS__REORDER,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.55/5.77 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ! [V1Q: $i] :
% 5.55/5.77 ( ( mem @ V1Q @ ( arr @ A_27b @ bool ) )
% 5.55/5.77 => ! [V2R: $i] :
% 5.55/5.77 ( ( mem @ V2R @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.55/5.77 => ( ( p
% 5.55/5.77 @ ( ap @ ( ap @ ( c_2Ebool_2ERES__EXISTS @ A_27a ) @ V0P )
% 5.55/5.77 @ ( lam @ A_27a
% 5.55/5.77 @ ^ [V3i: $i] :
% 5.55/5.77 ( ap @ ( ap @ ( c_2Ebool_2ERES__EXISTS @ A_27b ) @ V1Q )
% 5.55/5.77 @ ( lam @ A_27b
% 5.55/5.77 @ ^ [V4j: $i] : ( ap @ ( ap @ V2R @ V3i ) @ V4j ) ) ) ) ) )
% 5.55/5.77 <=> ( p
% 5.55/5.77 @ ( ap @ ( ap @ ( c_2Ebool_2ERES__EXISTS @ A_27b ) @ V1Q )
% 5.55/5.77 @ ( lam @ A_27b
% 5.55/5.77 @ ^ [V5j: $i] :
% 5.55/5.77 ( ap @ ( ap @ ( c_2Ebool_2ERES__EXISTS @ A_27a ) @ V0P )
% 5.55/5.77 @ ( lam @ A_27a
% 5.55/5.77 @ ^ [V6i: $i] : ( ap @ ( ap @ V2R @ V6i ) @ V5j ) ) ) ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Eres__quan_2ERES__EXISTS__F,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,A_27c: del,V0P: $i] :
% 5.55/5.77 ( ( mem @ V0P @ A_27a )
% 5.55/5.77 => ! [V1s: $i] :
% 5.55/5.77 ( ( mem @ V1s @ A_27b )
% 5.55/5.77 => ! [V2x: $i] :
% 5.55/5.77 ( ( mem @ V2x @ ( arr @ A_27c @ bool ) )
% 5.55/5.77 => ~ ( p
% 5.55/5.77 @ ( ap @ ( ap @ ( c_2Ebool_2ERES__EXISTS @ A_27c ) @ V2x )
% 5.55/5.77 @ ( lam @ A_27c
% 5.55/5.77 @ ^ [V3s: $i] : c_2Ebool_2EF ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Eres__quan_2ERES__EXISTS__T,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,A_27c: del,V0P: $i] :
% 5.55/5.77 ( ( mem @ V0P @ A_27a )
% 5.55/5.77 => ! [V1s: $i] :
% 5.55/5.77 ( ( mem @ V1s @ ( arr @ A_27b @ bool ) )
% 5.55/5.77 => ! [V2x: $i] :
% 5.55/5.77 ( ( mem @ V2x @ A_27c )
% 5.55/5.77 => ( ( p
% 5.55/5.77 @ ( ap @ ( ap @ ( c_2Ebool_2ERES__EXISTS @ A_27b ) @ V1s )
% 5.55/5.77 @ ( lam @ A_27b
% 5.55/5.77 @ ^ [V3x: $i] : c_2Ebool_2ET ) ) )
% 5.55/5.77 <=> ( V1s
% 5.55/5.77 != ( c_2Epred__set_2EEMPTY @ A_27b ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Eres__quan_2ERES__EXISTS__EMPTY,axiom,
% 5.55/5.77 ! [A_27a: del,V0p: $i] :
% 5.55/5.77 ( ( mem @ V0p @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2ERES__EXISTS @ A_27a ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) @ V0p ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Eres__quan_2ERES__EXISTS__UNIV,axiom,
% 5.55/5.77 ! [A_27a: del,V0p: $i] :
% 5.55/5.77 ( ( mem @ V0p @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2ERES__EXISTS @ A_27a ) @ ( c_2Epred__set_2EUNIV @ A_27a ) ) @ V0p ) )
% 5.55/5.77 <=> ( p @ ( ap @ ( c_2Ebool_2E_3F @ A_27a ) @ V0p ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Eres__quan_2ERES__EXISTS__NULL,axiom,
% 5.55/5.77 ! [A_27a: del,V0p: $i] :
% 5.55/5.77 ( ( mem @ V0p @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ! [V1m: $i] :
% 5.55/5.77 ( ( mem @ V1m @ bool )
% 5.55/5.77 => ( ( p
% 5.55/5.77 @ ( ap @ ( ap @ ( c_2Ebool_2ERES__EXISTS @ A_27a ) @ V0p )
% 5.55/5.77 @ ( lam @ A_27a
% 5.55/5.77 @ ^ [V2x: $i] : V1m ) ) )
% 5.55/5.77 <=> ( ( V0p
% 5.55/5.77 != ( c_2Epred__set_2EEMPTY @ A_27a ) )
% 5.55/5.77 & ( p @ V1m ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Eres__quan_2ERES__EXISTS__ALT,axiom,
% 5.55/5.77 ! [A_27a: del,V0p: $i] :
% 5.55/5.77 ( ( mem @ V0p @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ! [V1m: $i] :
% 5.55/5.77 ( ( mem @ V1m @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2ERES__EXISTS @ A_27a ) @ V0p ) @ V1m ) )
% 5.55/5.77 <=> ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebool_2ERES__SELECT @ A_27a ) @ V0p ) @ V1m ) ) @ V0p ) )
% 5.55/5.77 & ( p @ ( ap @ V1m @ ( ap @ ( ap @ ( c_2Ebool_2ERES__SELECT @ A_27a ) @ V0p ) @ V1m ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Eres__quan_2ENOT__RES__EXISTS,axiom,
% 5.55/5.77 ! [A_27a: del,V0P: $i] :
% 5.55/5.77 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ! [V1s: $i] :
% 5.55/5.77 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ( ~ ( p
% 5.55/5.77 @ ( ap @ ( ap @ ( c_2Ebool_2ERES__EXISTS @ A_27a ) @ V1s )
% 5.55/5.77 @ ( lam @ A_27a
% 5.55/5.77 @ ^ [V2x: $i] : ( ap @ V0P @ V2x ) ) ) )
% 5.55/5.77 <=> ( p
% 5.55/5.77 @ ( ap @ ( ap @ ( c_2Ebool_2ERES__FORALL @ A_27a ) @ V1s )
% 5.55/5.77 @ ( lam @ A_27a
% 5.55/5.77 @ ^ [V3x: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0P @ V3x ) ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Eres__quan_2ERES__EXISTS__NOT__EMPTY,axiom,
% 5.55/5.77 ! [A_27a: del,V0P: $i] :
% 5.55/5.77 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ! [V1s: $i] :
% 5.55/5.77 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2ERES__EXISTS @ A_27a ) @ V1s ) @ V0P ) )
% 5.55/5.77 => ( V1s
% 5.55/5.77 != ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Eres__quan_2ERES__EXISTS__SUBSET,axiom,
% 5.55/5.77 ! [A_27a: del,V0P: $i] :
% 5.55/5.77 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ! [V1s: $i] :
% 5.55/5.77 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ! [V2t: $i] :
% 5.55/5.77 ( ( mem @ V2t @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V1s ) @ V2t ) )
% 5.55/5.77 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2ERES__EXISTS @ A_27a ) @ V1s ) @ V0P ) )
% 5.55/5.77 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2ERES__EXISTS @ A_27a ) @ V2t ) @ V0P ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Eres__quan_2ERES__EXISTS__UNION,axiom,
% 5.55/5.77 ! [A_27a: del,V0P: $i] :
% 5.55/5.77 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ! [V1s: $i] :
% 5.55/5.77 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ! [V2t: $i] :
% 5.55/5.77 ( ( mem @ V2t @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2ERES__EXISTS @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ V1s ) @ V2t ) ) @ V0P ) )
% 5.55/5.77 <=> ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2ERES__EXISTS @ A_27a ) @ V1s ) @ V0P ) )
% 5.55/5.77 | ( p @ ( ap @ ( ap @ ( c_2Ebool_2ERES__EXISTS @ A_27a ) @ V2t ) @ V0P ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Eres__quan_2ERES__EXISTS__DIFF,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.55/5.77 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ! [V1s: $i] :
% 5.55/5.77 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ! [V2t: $i] :
% 5.55/5.77 ( ( mem @ V2t @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ! [V3x: $i] :
% 5.55/5.77 ( ( mem @ V3x @ A_27b )
% 5.55/5.77 => ( ( p
% 5.55/5.77 @ ( ap @ ( ap @ ( c_2Ebool_2ERES__EXISTS @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDIFF @ A_27a ) @ V1s ) @ V2t ) )
% 5.55/5.77 @ ( lam @ A_27a
% 5.55/5.77 @ ^ [V4x: $i] : ( ap @ V0P @ V4x ) ) ) )
% 5.55/5.77 <=> ( p
% 5.55/5.77 @ ( ap @ ( ap @ ( c_2Ebool_2ERES__EXISTS @ A_27a ) @ V1s )
% 5.55/5.77 @ ( lam @ A_27a
% 5.55/5.77 @ ^ [V5x: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ c_2Ebool_2E_7E @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V5x ) @ V2t ) ) ) @ ( ap @ V0P @ V5x ) ) ) ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Eres__quan_2EIN__BIGUNION__RES__EXISTS,axiom,
% 5.55/5.77 ! [A_27a: del,V0x: $i] :
% 5.55/5.77 ( ( mem @ V0x @ A_27a )
% 5.55/5.77 => ! [V1sos: $i] :
% 5.55/5.77 ( ( mem @ V1sos @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) )
% 5.55/5.77 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0x ) @ ( ap @ ( c_2Epred__set_2EBIGUNION @ A_27a ) @ V1sos ) ) )
% 5.55/5.77 <=> ( p
% 5.55/5.77 @ ( ap @ ( ap @ ( c_2Ebool_2ERES__EXISTS @ ( arr @ A_27a @ bool ) ) @ V1sos )
% 5.55/5.77 @ ( lam @ ( arr @ A_27a @ bool )
% 5.55/5.77 @ ^ [V2s: $i] : ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0x ) @ V2s ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Eres__quan_2ERES__EXISTS__BIGUNION,axiom,
% 5.55/5.77 ! [A_27a: del,V0P: $i] :
% 5.55/5.77 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ! [V1sos: $i] :
% 5.55/5.77 ( ( mem @ V1sos @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) )
% 5.55/5.77 => ( ( p
% 5.55/5.77 @ ( ap @ ( ap @ ( c_2Ebool_2ERES__EXISTS @ A_27a ) @ ( ap @ ( c_2Epred__set_2EBIGUNION @ A_27a ) @ V1sos ) )
% 5.55/5.77 @ ( lam @ A_27a
% 5.55/5.77 @ ^ [V2x: $i] : ( ap @ V0P @ V2x ) ) ) )
% 5.55/5.77 <=> ( p
% 5.55/5.77 @ ( ap @ ( ap @ ( c_2Ebool_2ERES__EXISTS @ ( arr @ A_27a @ bool ) ) @ V1sos )
% 5.55/5.77 @ ( lam @ ( arr @ A_27a @ bool )
% 5.55/5.77 @ ^ [V3s: $i] :
% 5.55/5.77 ( ap @ ( ap @ ( c_2Ebool_2ERES__EXISTS @ A_27a ) @ V3s )
% 5.55/5.77 @ ( lam @ A_27a
% 5.55/5.77 @ ^ [V4x: $i] : ( ap @ V0P @ V4x ) ) ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Eres__quan_2ERES__EXISTS__BIGINTER,axiom,
% 5.55/5.77 ! [A_27a: del,V0P: $i] :
% 5.55/5.77 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ! [V1sos: $i] :
% 5.55/5.77 ( ( mem @ V1sos @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) )
% 5.55/5.77 => ( ( p
% 5.55/5.77 @ ( ap @ ( ap @ ( c_2Ebool_2ERES__EXISTS @ A_27a ) @ ( ap @ ( c_2Epred__set_2EBIGINTER @ A_27a ) @ V1sos ) )
% 5.55/5.77 @ ( lam @ A_27a
% 5.55/5.77 @ ^ [V2x: $i] : ( ap @ V0P @ V2x ) ) ) )
% 5.55/5.77 <=> ? [V3x: $i] :
% 5.55/5.77 ( ( mem @ V3x @ A_27a )
% 5.55/5.77 & ( p
% 5.55/5.77 @ ( ap @ ( ap @ ( c_2Ebool_2ERES__FORALL @ ( arr @ A_27a @ bool ) ) @ V1sos )
% 5.55/5.77 @ ( lam @ ( arr @ A_27a @ bool )
% 5.55/5.77 @ ^ [V4s: $i] : ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3x ) @ V4s ) ) ) )
% 5.55/5.77 & ( p @ ( ap @ V0P @ V3x ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Eres__quan_2ERES__EXISTS__UNIQUE__ELIM,axiom,
% 5.55/5.77 ! [A_27a: del,V0P: $i] :
% 5.55/5.77 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ! [V1s: $i] :
% 5.55/5.77 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ( ( p
% 5.55/5.77 @ ( ap @ ( ap @ ( c_2Ebool_2ERES__EXISTS__UNIQUE @ A_27a ) @ V1s )
% 5.55/5.77 @ ( lam @ A_27a
% 5.55/5.77 @ ^ [V2x: $i] : ( ap @ V0P @ V2x ) ) ) )
% 5.55/5.77 <=> ( p
% 5.55/5.77 @ ( ap @ ( c_2Ebool_2E_3F_21 @ A_27a )
% 5.55/5.77 @ ( lam @ A_27a
% 5.55/5.77 @ ^ [V3x: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3x ) @ V1s ) ) @ ( ap @ V0P @ V3x ) ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Eres__quan_2ERES__EXISTS__UNIQUE__EXISTS,axiom,
% 5.55/5.77 ! [A_27a: del,V0P: $i] :
% 5.55/5.77 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ! [V1s: $i] :
% 5.55/5.77 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2ERES__EXISTS__UNIQUE @ A_27a ) @ V0P ) @ V1s ) )
% 5.55/5.77 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2ERES__EXISTS @ A_27a ) @ V0P ) @ V1s ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Eres__quan_2ERES__EXISTS__UNIQUE__F,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,A_27c: del,V0P: $i] :
% 5.55/5.77 ( ( mem @ V0P @ A_27a )
% 5.55/5.77 => ! [V1s: $i] :
% 5.55/5.77 ( ( mem @ V1s @ ( arr @ A_27b @ bool ) )
% 5.55/5.77 => ! [V2x: $i] :
% 5.55/5.77 ( ( mem @ V2x @ A_27c )
% 5.55/5.77 => ~ ( p
% 5.55/5.77 @ ( ap @ ( ap @ ( c_2Ebool_2ERES__EXISTS__UNIQUE @ A_27b ) @ V1s )
% 5.55/5.77 @ ( lam @ A_27b
% 5.55/5.77 @ ^ [V3x: $i] : c_2Ebool_2EF ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Eres__quan_2ERES__EXISTS__UNIQUE__T,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,A_27c: del,V0P: $i] :
% 5.55/5.77 ( ( mem @ V0P @ A_27a )
% 5.55/5.77 => ! [V1s: $i] :
% 5.55/5.77 ( ( mem @ V1s @ ( arr @ A_27b @ bool ) )
% 5.55/5.77 => ! [V2x: $i] :
% 5.55/5.77 ( ( mem @ V2x @ A_27c )
% 5.55/5.77 => ( ( p
% 5.55/5.77 @ ( ap @ ( ap @ ( c_2Ebool_2ERES__EXISTS__UNIQUE @ A_27b ) @ V1s )
% 5.55/5.77 @ ( lam @ A_27b
% 5.55/5.77 @ ^ [V3x: $i] : c_2Ebool_2ET ) ) )
% 5.55/5.77 <=> ( p
% 5.55/5.77 @ ( ap @ ( c_2Ebool_2E_3F_21 @ A_27b )
% 5.55/5.77 @ ( lam @ A_27b
% 5.55/5.77 @ ^ [V4x: $i] : ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ V4x ) @ V1s ) ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Eres__quan_2ERES__EXISTS__UNIQUE__EMPTY,axiom,
% 5.55/5.77 ! [A_27a: del,V0p: $i] :
% 5.55/5.77 ( ( mem @ V0p @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2ERES__EXISTS__UNIQUE @ A_27a ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) @ V0p ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Eres__quan_2ERES__EXISTS__UNIQUE__NOT__EMPTY,axiom,
% 5.55/5.77 ! [A_27a: del,V0P: $i] :
% 5.55/5.77 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ! [V1s: $i] :
% 5.55/5.77 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2ERES__EXISTS__UNIQUE @ A_27a ) @ V1s ) @ V0P ) )
% 5.55/5.77 => ( V1s
% 5.55/5.77 != ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Eres__quan_2ERES__EXISTS__UNIQUE__UNIV,axiom,
% 5.55/5.77 ! [A_27a: del,V0p: $i] :
% 5.55/5.77 ( ( mem @ V0p @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2ERES__EXISTS__UNIQUE @ A_27a ) @ ( c_2Epred__set_2EUNIV @ A_27a ) ) @ V0p ) )
% 5.55/5.77 <=> ( p @ ( ap @ ( c_2Ebool_2E_3F_21 @ A_27a ) @ V0p ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Eres__quan_2ERES__EXISTS__UNIQUE__NULL,axiom,
% 5.55/5.77 ! [A_27a: del,V0p: $i] :
% 5.55/5.77 ( ( mem @ V0p @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ! [V1m: $i] :
% 5.55/5.77 ( ( mem @ V1m @ bool )
% 5.55/5.77 => ( ( p
% 5.55/5.77 @ ( ap @ ( ap @ ( c_2Ebool_2ERES__EXISTS__UNIQUE @ A_27a ) @ V0p )
% 5.55/5.77 @ ( lam @ A_27a
% 5.55/5.77 @ ^ [V2x: $i] : V1m ) ) )
% 5.55/5.77 <=> ( ? [V3x: $i] :
% 5.55/5.77 ( ( mem @ V3x @ A_27a )
% 5.55/5.77 & ( V0p
% 5.55/5.77 = ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V3x ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) )
% 5.55/5.77 & ( p @ V1m ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Eres__quan_2ERES__EXISTS__UNIQUE__SING,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,A_27c: del,V0P: $i] :
% 5.55/5.77 ( ( mem @ V0P @ A_27a )
% 5.55/5.77 => ! [V1s: $i] :
% 5.55/5.77 ( ( mem @ V1s @ ( arr @ A_27b @ bool ) )
% 5.55/5.77 => ! [V2x: $i] :
% 5.55/5.77 ( ( mem @ V2x @ A_27c )
% 5.55/5.77 => ( ( p
% 5.55/5.77 @ ( ap @ ( ap @ ( c_2Ebool_2ERES__EXISTS__UNIQUE @ A_27b ) @ V1s )
% 5.55/5.77 @ ( lam @ A_27b
% 5.55/5.77 @ ^ [V3x: $i] : c_2Ebool_2ET ) ) )
% 5.55/5.77 <=> ? [V4y: $i] :
% 5.55/5.77 ( ( mem @ V4y @ A_27b )
% 5.55/5.77 & ( V1s
% 5.55/5.77 = ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27b ) @ V4y ) @ ( c_2Epred__set_2EEMPTY @ A_27b ) ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Eres__quan_2ERES__EXISTS__UNIQUE__ALT,axiom,
% 5.55/5.77 ! [A_27a: del,V0p: $i] :
% 5.55/5.77 ( ( mem @ V0p @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ! [V1m: $i] :
% 5.55/5.77 ( ( mem @ V1m @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2ERES__EXISTS__UNIQUE @ A_27a ) @ V0p ) @ V1m ) )
% 5.55/5.77 <=> ( p
% 5.55/5.77 @ ( ap @ ( ap @ ( c_2Ebool_2ERES__EXISTS @ A_27a ) @ V0p )
% 5.55/5.77 @ ( lam @ A_27a
% 5.55/5.77 @ ^ [V2x: $i] :
% 5.55/5.77 ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V1m @ V2x ) )
% 5.55/5.77 @ ( ap @ ( ap @ ( c_2Ebool_2ERES__FORALL @ A_27a ) @ V0p )
% 5.55/5.77 @ ( lam @ A_27a
% 5.55/5.77 @ ^ [V3y: $i] : ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ V1m @ V3y ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V3y ) @ V2x ) ) ) ) ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Eres__quan_2ERES__SELECT__EMPTY,axiom,
% 5.55/5.77 ! [A_27a: del,V0p: $i] :
% 5.55/5.77 ( ( mem @ V0p @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2Ebool_2ERES__SELECT @ A_27a ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) @ V0p )
% 5.55/5.77 = ( ap @ ( c_2Emin_2E_40 @ A_27a )
% 5.55/5.77 @ ( lam @ A_27a
% 5.55/5.77 @ ^ [V1x: $i] : c_2Ebool_2EF ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Eres__quan_2ERES__SELECT__UNIV,axiom,
% 5.55/5.77 ! [A_27a: del,V0p: $i] :
% 5.55/5.77 ( ( mem @ V0p @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2Ebool_2ERES__SELECT @ A_27a ) @ ( c_2Epred__set_2EUNIV @ A_27a ) ) @ V0p )
% 5.55/5.77 = ( ap @ ( c_2Emin_2E_40 @ A_27a ) @ V0p ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Eres__quan_2ERES__ABSTRACT,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,V0p: $i] :
% 5.55/5.77 ( ( mem @ V0p @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ! [V1m: $i] :
% 5.55/5.77 ( ( mem @ V1m @ ( arr @ A_27a @ A_27b ) )
% 5.55/5.77 => ! [V2x: $i] :
% 5.55/5.77 ( ( mem @ V2x @ A_27a )
% 5.55/5.77 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V0p ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ERES__ABSTRACT @ A_27a @ A_27b ) @ V0p ) @ V1m ) @ V2x )
% 5.55/5.77 = ( ap @ V1m @ V2x ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Eres__quan_2ERES__ABSTRACT__EQUAL,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,V0p: $i] :
% 5.55/5.77 ( ( mem @ V0p @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ! [V1m1: $i] :
% 5.55/5.77 ( ( mem @ V1m1 @ ( arr @ A_27a @ A_27b ) )
% 5.55/5.77 => ! [V2m2: $i] :
% 5.55/5.77 ( ( mem @ V2m2 @ ( arr @ A_27a @ A_27b ) )
% 5.55/5.77 => ( ! [V3x: $i] :
% 5.55/5.77 ( ( mem @ V3x @ A_27a )
% 5.55/5.77 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3x ) @ V0p ) )
% 5.55/5.77 => ( ( ap @ V1m1 @ V3x )
% 5.55/5.77 = ( ap @ V2m2 @ V3x ) ) ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2Ebool_2ERES__ABSTRACT @ A_27a @ A_27b ) @ V0p ) @ V1m1 )
% 5.55/5.77 = ( ap @ ( ap @ ( c_2Ebool_2ERES__ABSTRACT @ A_27a @ A_27b ) @ V0p ) @ V2m2 ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Eres__quan_2ERES__ABSTRACT__IDEMPOT,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,V0p: $i] :
% 5.55/5.77 ( ( mem @ V0p @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ! [V1m: $i] :
% 5.55/5.77 ( ( mem @ V1m @ ( arr @ A_27a @ A_27b ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2Ebool_2ERES__ABSTRACT @ A_27a @ A_27b ) @ V0p ) @ ( ap @ ( ap @ ( c_2Ebool_2ERES__ABSTRACT @ A_27a @ A_27b ) @ V0p ) @ V1m ) )
% 5.55/5.77 = ( ap @ ( ap @ ( c_2Ebool_2ERES__ABSTRACT @ A_27a @ A_27b ) @ V0p ) @ V1m ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Eres__quan_2ERES__ABSTRACT__EQUAL__EQ,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,V0p: $i] :
% 5.55/5.77 ( ( mem @ V0p @ ( arr @ A_27a @ bool ) )
% 5.55/5.77 => ! [V1m1: $i] :
% 5.55/5.77 ( ( mem @ V1m1 @ ( arr @ A_27a @ A_27b ) )
% 5.55/5.77 => ! [V2m2: $i] :
% 5.55/5.77 ( ( mem @ V2m2 @ ( arr @ A_27a @ A_27b ) )
% 5.55/5.77 => ( ( ( ap @ ( ap @ ( c_2Ebool_2ERES__ABSTRACT @ A_27a @ A_27b ) @ V0p ) @ V1m1 )
% 5.55/5.77 = ( ap @ ( ap @ ( c_2Ebool_2ERES__ABSTRACT @ A_27a @ A_27b ) @ V0p ) @ V2m2 ) )
% 5.55/5.77 <=> ! [V3x: $i] :
% 5.55/5.77 ( ( mem @ V3x @ A_27a )
% 5.55/5.77 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3x ) @ V0p ) )
% 5.55/5.77 => ( ( ap @ V1m1 @ V3x )
% 5.55/5.77 = ( ap @ V2m2 @ V3x ) ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Eres__quan_2ERES__ABSTRACT__UNIV,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,V0m: $i] :
% 5.55/5.77 ( ( mem @ V0m @ ( arr @ A_27a @ A_27b ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2Ebool_2ERES__ABSTRACT @ A_27a @ A_27b ) @ ( c_2Epred__set_2EUNIV @ A_27a ) ) @ V0m )
% 5.55/5.77 = V0m ) ) ).
% 5.55/5.77
% 5.55/5.77 %------------------------------------------------------------------------------
% 5.55/5.77 %------------------------------------------------------------------------------
% 5.55/5.77 thf(tp_c_2Estate__transformer_2EBIND,type,
% 5.55/5.77 c_2Estate__transformer_2EBIND: del > del > del > $i ).
% 5.55/5.77
% 5.55/5.77 thf(mem_c_2Estate__transformer_2EBIND,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,A_27c: del] : ( mem @ ( c_2Estate__transformer_2EBIND @ A_27a @ A_27b @ A_27c ) @ ( arr @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) @ ( arr @ ( arr @ A_27b @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27c @ A_27a ) ) ) @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27c @ A_27a ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(tp_c_2Estate__transformer_2EEXT,type,
% 5.55/5.77 c_2Estate__transformer_2EEXT: del > del > del > $i ).
% 5.55/5.77
% 5.55/5.77 thf(mem_c_2Estate__transformer_2EEXT,axiom,
% 5.55/5.77 ! [A_27b: del,A_27c: del,A_27s: del] : ( mem @ ( c_2Estate__transformer_2EEXT @ A_27b @ A_27c @ A_27s ) @ ( arr @ ( arr @ A_27b @ ( arr @ A_27s @ ( ty_2Epair_2Eprod @ A_27c @ A_27s ) ) ) @ ( arr @ ( arr @ A_27s @ ( ty_2Epair_2Eprod @ A_27b @ A_27s ) ) @ ( arr @ A_27s @ ( ty_2Epair_2Eprod @ A_27c @ A_27s ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(tp_c_2Estate__transformer_2EFOR,type,
% 5.55/5.77 c_2Estate__transformer_2EFOR: del > $i ).
% 5.55/5.77
% 5.55/5.77 thf(mem_c_2Estate__transformer_2EFOR,axiom,
% 5.55/5.77 ! [A_27state: del] : ( mem @ ( c_2Estate__transformer_2EFOR @ A_27state ) @ ( arr @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27state @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) ) @ ( arr @ A_27state @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(tp_c_2Estate__transformer_2EFOREACH,type,
% 5.55/5.77 c_2Estate__transformer_2EFOREACH: del > del > $i ).
% 5.55/5.77
% 5.55/5.77 thf(mem_c_2Estate__transformer_2EFOREACH,axiom,
% 5.55/5.77 ! [A_27a: del,A_27state: del] : ( mem @ ( c_2Estate__transformer_2EFOREACH @ A_27a @ A_27state ) @ ( arr @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ A_27a @ ( arr @ A_27state @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) @ ( arr @ A_27state @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(tp_c_2Estate__transformer_2EIGNORE__BIND,type,
% 5.55/5.77 c_2Estate__transformer_2EIGNORE__BIND: del > del > del > $i ).
% 5.55/5.77
% 5.55/5.77 thf(mem_c_2Estate__transformer_2EIGNORE__BIND,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,A_27c: del] : ( mem @ ( c_2Estate__transformer_2EIGNORE__BIND @ A_27a @ A_27b @ A_27c ) @ ( arr @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27c @ A_27a ) ) @ ( arr @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(tp_c_2Estate__transformer_2EJOIN,type,
% 5.55/5.77 c_2Estate__transformer_2EJOIN: del > del > $i ).
% 5.55/5.77
% 5.55/5.77 thf(mem_c_2Estate__transformer_2EJOIN,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Estate__transformer_2EJOIN @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) @ A_27a ) ) @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(tp_c_2Estate__transformer_2EMCOMP,type,
% 5.55/5.77 c_2Estate__transformer_2EMCOMP: del > del > del > del > $i ).
% 5.55/5.77
% 5.55/5.77 thf(mem_c_2Estate__transformer_2EMCOMP,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,A_27c: del,A_27s: del] : ( mem @ ( c_2Estate__transformer_2EMCOMP @ A_27a @ A_27b @ A_27c @ A_27s ) @ ( arr @ ( arr @ A_27b @ ( arr @ A_27s @ ( ty_2Epair_2Eprod @ A_27c @ A_27s ) ) ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27s @ ( ty_2Epair_2Eprod @ A_27b @ A_27s ) ) ) @ ( arr @ A_27a @ ( arr @ A_27s @ ( ty_2Epair_2Eprod @ A_27c @ A_27s ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(tp_c_2Estate__transformer_2EMMAP,type,
% 5.55/5.77 c_2Estate__transformer_2EMMAP: del > del > del > $i ).
% 5.55/5.77
% 5.55/5.77 thf(mem_c_2Estate__transformer_2EMMAP,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,A_27c: del] : ( mem @ ( c_2Estate__transformer_2EMMAP @ A_27a @ A_27b @ A_27c ) @ ( arr @ ( arr @ A_27c @ A_27b ) @ ( arr @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27c @ A_27a ) ) @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(tp_c_2Estate__transformer_2EMWHILE,type,
% 5.55/5.77 c_2Estate__transformer_2EMWHILE: del > del > $i ).
% 5.55/5.77
% 5.55/5.77 thf(mem_c_2Estate__transformer_2EMWHILE,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Estate__transformer_2EMWHILE @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ bool @ A_27a ) ) @ ( arr @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27a ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(tp_c_2Estate__transformer_2ENARROW,type,
% 5.55/5.77 c_2Estate__transformer_2ENARROW: del > del > del > $i ).
% 5.55/5.77
% 5.55/5.77 thf(mem_c_2Estate__transformer_2ENARROW,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,A_27state: del] : ( mem @ ( c_2Estate__transformer_2ENARROW @ A_27a @ A_27b @ A_27state ) @ ( arr @ A_27b @ ( arr @ ( arr @ ( ty_2Epair_2Eprod @ A_27b @ A_27state ) @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27state ) ) ) @ ( arr @ A_27state @ ( ty_2Epair_2Eprod @ A_27a @ A_27state ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(tp_c_2Estate__transformer_2EREAD,type,
% 5.55/5.77 c_2Estate__transformer_2EREAD: del > del > $i ).
% 5.55/5.77
% 5.55/5.77 thf(mem_c_2Estate__transformer_2EREAD,axiom,
% 5.55/5.77 ! [A_27a: del,A_27state: del] : ( mem @ ( c_2Estate__transformer_2EREAD @ A_27a @ A_27state ) @ ( arr @ ( arr @ A_27state @ A_27a ) @ ( arr @ A_27state @ ( ty_2Epair_2Eprod @ A_27a @ A_27state ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(tp_c_2Estate__transformer_2EUNIT,type,
% 5.55/5.77 c_2Estate__transformer_2EUNIT: del > del > $i ).
% 5.55/5.77
% 5.55/5.77 thf(mem_c_2Estate__transformer_2EUNIT,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Estate__transformer_2EUNIT @ A_27a @ A_27b ) @ ( arr @ A_27b @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(tp_c_2Estate__transformer_2EWIDEN,type,
% 5.55/5.77 c_2Estate__transformer_2EWIDEN: del > del > del > $i ).
% 5.55/5.77
% 5.55/5.77 thf(mem_c_2Estate__transformer_2EWIDEN,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,A_27state: del] : ( mem @ ( c_2Estate__transformer_2EWIDEN @ A_27a @ A_27b @ A_27state ) @ ( arr @ ( arr @ A_27state @ ( ty_2Epair_2Eprod @ A_27a @ A_27state ) ) @ ( arr @ ( ty_2Epair_2Eprod @ A_27b @ A_27state ) @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27state ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(tp_c_2Estate__transformer_2EWRITE,type,
% 5.55/5.77 c_2Estate__transformer_2EWRITE: del > $i ).
% 5.55/5.77
% 5.55/5.77 thf(mem_c_2Estate__transformer_2EWRITE,axiom,
% 5.55/5.77 ! [A_27state: del] : ( mem @ ( c_2Estate__transformer_2EWRITE @ A_27state ) @ ( arr @ ( arr @ A_27state @ A_27state ) @ ( arr @ A_27state @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(tp_c_2Estate__transformer_2EmapM,type,
% 5.55/5.77 c_2Estate__transformer_2EmapM: del > del > del > $i ).
% 5.55/5.77
% 5.55/5.77 thf(mem_c_2Estate__transformer_2EmapM,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,A_27c: del] : ( mem @ ( c_2Estate__transformer_2EmapM @ A_27a @ A_27b @ A_27c ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27b @ ( ty_2Epair_2Eprod @ A_27c @ A_27b ) ) ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ A_27b @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27c ) @ A_27b ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(tp_c_2Estate__transformer_2Esequence,type,
% 5.55/5.77 c_2Estate__transformer_2Esequence: del > del > $i ).
% 5.55/5.77
% 5.55/5.77 thf(mem_c_2Estate__transformer_2Esequence,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Estate__transformer_2Esequence @ A_27a @ A_27b ) @ ( arr @ ( ty_2Elist_2Elist @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27b ) @ A_27a ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(ax_thm_2Estate__transformer_2EUNIT__DEF,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,V0x: $i] :
% 5.55/5.77 ( ( mem @ V0x @ A_27b )
% 5.55/5.77 => ( ( ap @ ( c_2Estate__transformer_2EUNIT @ A_27a @ A_27b ) @ V0x )
% 5.55/5.77 = ( lam @ A_27a
% 5.55/5.77 @ ^ [V1s: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27b @ A_27a ) @ V0x ) @ V1s ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(ax_thm_2Estate__transformer_2EBIND__DEF,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,A_27c: del,V0g: $i] :
% 5.55/5.77 ( ( mem @ V0g @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) )
% 5.55/5.77 => ! [V1f: $i] :
% 5.55/5.77 ( ( mem @ V1f @ ( arr @ A_27b @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27c @ A_27a ) ) ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2Estate__transformer_2EBIND @ A_27a @ A_27b @ A_27c ) @ V0g ) @ V1f )
% 5.55/5.77 = ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27a @ ( ty_2Epair_2Eprod @ A_27c @ A_27a ) @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) @ ( ap @ ( c_2Epair_2EUNCURRY @ A_27b @ A_27a @ ( ty_2Epair_2Eprod @ A_27c @ A_27a ) ) @ V1f ) ) @ V0g ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(ax_thm_2Estate__transformer_2EIGNORE__BIND__DEF,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.55/5.77 ( ( mem @ V0f @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27c @ A_27a ) ) )
% 5.55/5.77 => ! [V1g: $i] :
% 5.55/5.77 ( ( mem @ V1g @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2Estate__transformer_2EIGNORE__BIND @ A_27a @ A_27b @ A_27c ) @ V0f ) @ V1g )
% 5.55/5.77 = ( ap @ ( ap @ ( c_2Estate__transformer_2EBIND @ A_27a @ A_27c @ A_27b ) @ V0f )
% 5.55/5.77 @ ( lam @ A_27c
% 5.55/5.77 @ ^ [V2x: $i] : V1g ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(ax_thm_2Estate__transformer_2EMMAP__DEF,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.55/5.77 ( ( mem @ V0f @ ( arr @ A_27c @ A_27b ) )
% 5.55/5.77 => ! [V1m: $i] :
% 5.55/5.77 ( ( mem @ V1m @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27c @ A_27a ) ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2Estate__transformer_2EMMAP @ A_27a @ A_27b @ A_27c ) @ V0f ) @ V1m )
% 5.55/5.77 = ( ap @ ( ap @ ( c_2Estate__transformer_2EBIND @ A_27a @ A_27c @ A_27b ) @ V1m ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27c @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) @ A_27b ) @ ( c_2Estate__transformer_2EUNIT @ A_27a @ A_27b ) ) @ V0f ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(ax_thm_2Estate__transformer_2EJOIN__DEF,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,V0z: $i] :
% 5.55/5.77 ( ( mem @ V0z @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) @ A_27a ) ) )
% 5.55/5.77 => ( ( ap @ ( c_2Estate__transformer_2EJOIN @ A_27a @ A_27b ) @ V0z )
% 5.55/5.77 = ( ap @ ( ap @ ( c_2Estate__transformer_2EBIND @ A_27a @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) @ A_27b ) @ V0z ) @ ( c_2Ecombin_2EI @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(ax_thm_2Estate__transformer_2EEXT__DEF,axiom,
% 5.55/5.77 ! [A_27b: del,A_27c: del,A_27s: del,V0f: $i] :
% 5.55/5.77 ( ( mem @ V0f @ ( arr @ A_27b @ ( arr @ A_27s @ ( ty_2Epair_2Eprod @ A_27c @ A_27s ) ) ) )
% 5.55/5.77 => ! [V1m: $i] :
% 5.55/5.77 ( ( mem @ V1m @ ( arr @ A_27s @ ( ty_2Epair_2Eprod @ A_27b @ A_27s ) ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2Estate__transformer_2EEXT @ A_27b @ A_27c @ A_27s ) @ V0f ) @ V1m )
% 5.55/5.77 = ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27s @ ( ty_2Epair_2Eprod @ A_27c @ A_27s ) @ ( ty_2Epair_2Eprod @ A_27b @ A_27s ) ) @ ( ap @ ( c_2Epair_2EUNCURRY @ A_27b @ A_27s @ ( ty_2Epair_2Eprod @ A_27c @ A_27s ) ) @ V0f ) ) @ V1m ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(ax_thm_2Estate__transformer_2EMCOMP__DEF,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,A_27c: del,A_27s: del,V0g: $i] :
% 5.55/5.77 ( ( mem @ V0g @ ( arr @ A_27b @ ( arr @ A_27s @ ( ty_2Epair_2Eprod @ A_27c @ A_27s ) ) ) )
% 5.55/5.77 => ! [V1f: $i] :
% 5.55/5.77 ( ( mem @ V1f @ ( arr @ A_27a @ ( arr @ A_27s @ ( ty_2Epair_2Eprod @ A_27b @ A_27s ) ) ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2Estate__transformer_2EMCOMP @ A_27a @ A_27b @ A_27c @ A_27s ) @ V0g ) @ V1f )
% 5.55/5.77 = ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27a @ ( arr @ A_27s @ ( ty_2Epair_2Eprod @ A_27c @ A_27s ) ) @ ( arr @ A_27s @ ( ty_2Epair_2Eprod @ A_27b @ A_27s ) ) ) @ ( ap @ ( c_2Estate__transformer_2EEXT @ A_27b @ A_27c @ A_27s ) @ V0g ) ) @ V1f ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(ax_thm_2Estate__transformer_2EFOR__primitive__def,axiom,
% 5.55/5.77 ! [A_27state: del] :
% 5.55/5.77 ( ( c_2Estate__transformer_2EFOR @ A_27state )
% 5.55/5.77 = ( ap
% 5.55/5.77 @ ( ap @ ( c_2Erelation_2EWFREC @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27state @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) ) @ ( arr @ A_27state @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) )
% 5.55/5.77 @ ( ap @ ( c_2Emin_2E_40 @ ( arr @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27state @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) ) @ ( arr @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27state @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) ) @ bool ) ) )
% 5.55/5.77 @ ( lam @ ( arr @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27state @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) ) @ ( arr @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27state @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) ) @ bool ) )
% 5.55/5.77 @ ^ [V0R: $i] :
% 5.55/5.77 ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( c_2Erelation_2EWF @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27state @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) ) ) @ V0R ) )
% 5.55/5.77 @ ( ap @ ( c_2Ebool_2E_21 @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27state @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) )
% 5.55/5.77 @ ( lam @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27state @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) )
% 5.55/5.77 @ ^ [V1a: $i] :
% 5.55/5.77 ( ap @ ( c_2Ebool_2E_21 @ ty_2Enum_2Enum )
% 5.55/5.77 @ ( lam @ ty_2Enum_2Enum
% 5.55/5.77 @ ^ [V2j: $i] :
% 5.55/5.77 ( ap @ ( c_2Ebool_2E_21 @ ty_2Enum_2Enum )
% 5.55/5.77 @ ( lam @ ty_2Enum_2Enum
% 5.55/5.77 @ ^ [V3i: $i] : ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ c_2Ebool_2E_7E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ V3i ) @ V2j ) ) ) @ ( ap @ ( ap @ V0R @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27state @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ V3i ) @ V2j ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ V3i ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ V3i ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27state @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) @ V2j ) @ V1a ) ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27state @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) ) @ V3i ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27state @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) @ V2j ) @ V1a ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.77 @ ( lam @ ( arr @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27state @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) ) @ ( arr @ A_27state @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) )
% 5.55/5.77 @ ^ [V4FOR: $i] :
% 5.55/5.77 ( lam @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27state @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) )
% 5.55/5.77 @ ^ [V5a_27: $i] :
% 5.55/5.77 ( ap @ ( ap @ ( c_2Epair_2Epair__CASE @ ( arr @ A_27state @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27state @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) ) @ V5a_27 )
% 5.55/5.77 @ ( lam @ ty_2Enum_2Enum
% 5.55/5.77 @ ^ [V6i: $i] :
% 5.55/5.77 ( lam @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27state @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) )
% 5.55/5.77 @ ^ [V7v1: $i] :
% 5.55/5.77 ( ap @ ( ap @ ( c_2Epair_2Epair__CASE @ ( arr @ A_27state @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27state @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) @ V7v1 )
% 5.55/5.77 @ ( lam @ ty_2Enum_2Enum
% 5.55/5.77 @ ^ [V8j: $i] :
% 5.55/5.77 ( lam @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27state @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) )
% 5.55/5.77 @ ^ [V9a: $i] :
% 5.55/5.77 ( ap @ ( c_2Ecombin_2EI @ ( arr @ A_27state @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) )
% 5.55/5.77 @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( arr @ A_27state @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ V6i ) @ V8j ) ) @ ( ap @ V9a @ V6i ) )
% 5.55/5.77 @ ( ap @ ( ap @ ( c_2Estate__transformer_2EBIND @ A_27state @ ty_2Eone_2Eone @ ty_2Eone_2Eone ) @ ( ap @ V9a @ V6i ) )
% 5.55/5.77 @ ( lam @ ty_2Eone_2Eone
% 5.55/5.77 @ ^ [V10u: $i] : ( ap @ V4FOR @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27state @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ V6i ) @ V8j ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ V6i ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ V6i ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27state @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) @ V8j ) @ V9a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Estate__transformer_2EFOR__ind,axiom,
% 5.55/5.77 ! [A_27state: del,V0P: $i] :
% 5.55/5.77 ( ( mem @ V0P @ ( arr @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27state @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) ) @ bool ) )
% 5.55/5.77 => ( ! [V1i: tp__ty_2Enum_2Enum,V2j: tp__ty_2Enum_2Enum,V3a: $i] :
% 5.55/5.77 ( ( mem @ V3a @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27state @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) )
% 5.55/5.77 => ( ( ( V1i != V2j )
% 5.55/5.77 => ( p @ ( ap @ V0P @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27state @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1i ) ) @ ( inj__ty_2Enum_2Enum @ V2j ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1i ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V1i ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27state @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V2j ) ) @ V3a ) ) ) ) )
% 5.55/5.77 => ( p @ ( ap @ V0P @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27state @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1i ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27state @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V2j ) ) @ V3a ) ) ) ) ) )
% 5.55/5.77 => ! [V4v: tp__ty_2Enum_2Enum,V5v1: tp__ty_2Enum_2Enum,V6v2: $i] :
% 5.55/5.77 ( ( mem @ V6v2 @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27state @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) )
% 5.55/5.77 => ( p @ ( ap @ V0P @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27state @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V4v ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27state @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V5v1 ) ) @ V6v2 ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Estate__transformer_2EFOR__def,axiom,
% 5.55/5.77 ! [A_27state: del,V0j: tp__ty_2Enum_2Enum,V1i: tp__ty_2Enum_2Enum,V2a: $i] :
% 5.55/5.77 ( ( mem @ V2a @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27state @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) )
% 5.55/5.77 => ( ( ap @ ( c_2Estate__transformer_2EFOR @ A_27state ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27state @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1i ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27state @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0j ) ) @ V2a ) ) )
% 5.55/5.77 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( arr @ A_27state @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V1i ) ) @ ( inj__ty_2Enum_2Enum @ V0j ) ) ) @ ( ap @ V2a @ ( inj__ty_2Enum_2Enum @ V1i ) ) )
% 5.55/5.77 @ ( ap @ ( ap @ ( c_2Estate__transformer_2EBIND @ A_27state @ ty_2Eone_2Eone @ ty_2Eone_2Eone ) @ ( ap @ V2a @ ( inj__ty_2Enum_2Enum @ V1i ) ) )
% 5.55/5.77 @ ( lam @ ty_2Eone_2Eone
% 5.55/5.77 @ ^ [V3u: $i] : ( ap @ ( c_2Estate__transformer_2EFOR @ A_27state ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27state @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1i ) ) @ ( inj__ty_2Enum_2Enum @ V0j ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1i ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V1i ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27state @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0j ) ) @ V2a ) ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(ax_thm_2Estate__transformer_2EFOREACH__primitive__def,axiom,
% 5.55/5.77 ! [A_27a: del,A_27state: del] :
% 5.55/5.77 ( ( c_2Estate__transformer_2EFOREACH @ A_27a @ A_27state )
% 5.55/5.77 = ( ap
% 5.55/5.77 @ ( ap @ ( c_2Erelation_2EWFREC @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ A_27a @ ( arr @ A_27state @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) @ ( arr @ A_27state @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) )
% 5.55/5.77 @ ( ap @ ( c_2Emin_2E_40 @ ( arr @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ A_27a @ ( arr @ A_27state @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) @ ( arr @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ A_27a @ ( arr @ A_27state @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) @ bool ) ) )
% 5.55/5.77 @ ( lam @ ( arr @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ A_27a @ ( arr @ A_27state @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) @ ( arr @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ A_27a @ ( arr @ A_27state @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) @ bool ) )
% 5.55/5.77 @ ^ [V0R: $i] :
% 5.55/5.77 ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( c_2Erelation_2EWF @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ A_27a @ ( arr @ A_27state @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) ) @ V0R ) )
% 5.55/5.77 @ ( ap @ ( c_2Ebool_2E_21 @ A_27a )
% 5.55/5.77 @ ( lam @ A_27a
% 5.55/5.77 @ ^ [V1h: $i] :
% 5.55/5.77 ( ap @ ( c_2Ebool_2E_21 @ ( arr @ A_27a @ ( arr @ A_27state @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) )
% 5.55/5.77 @ ( lam @ ( arr @ A_27a @ ( arr @ A_27state @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) )
% 5.55/5.77 @ ^ [V2a: $i] :
% 5.55/5.77 ( ap @ ( c_2Ebool_2E_21 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 @ ( lam @ ( ty_2Elist_2Elist @ A_27a )
% 5.55/5.77 @ ^ [V3t: $i] : ( ap @ ( ap @ V0R @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ A_27a @ ( arr @ A_27state @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) @ V3t ) @ V2a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ A_27a @ ( arr @ A_27state @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1h ) @ V3t ) ) @ V2a ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.77 @ ( lam @ ( arr @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ A_27a @ ( arr @ A_27state @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) @ ( arr @ A_27state @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) )
% 5.55/5.77 @ ^ [V4FOREACH: $i] :
% 5.55/5.77 ( lam @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ A_27a @ ( arr @ A_27state @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) )
% 5.55/5.77 @ ^ [V5a_27: $i] :
% 5.55/5.77 ( ap @ ( ap @ ( c_2Epair_2Epair__CASE @ ( arr @ A_27state @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ A_27a @ ( arr @ A_27state @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) @ V5a_27 )
% 5.55/5.77 @ ( lam @ ( ty_2Elist_2Elist @ A_27a )
% 5.55/5.77 @ ^ [V6v: $i] :
% 5.55/5.77 ( lam @ ( arr @ A_27a @ ( arr @ A_27state @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) )
% 5.55/5.77 @ ^ [V7a: $i] :
% 5.55/5.77 ( ap @ ( ap @ ( ap @ ( c_2Elist_2Elist__CASE @ A_27a @ ( arr @ A_27state @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) @ V6v ) @ ( ap @ ( c_2Ecombin_2EI @ ( arr @ A_27state @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) @ ( ap @ ( c_2Estate__transformer_2EUNIT @ A_27state @ ty_2Eone_2Eone ) @ ( inj__ty_2Eone_2Eone @ fo__c_2Eone_2Eone ) ) ) )
% 5.55/5.77 @ ( lam @ A_27a
% 5.55/5.77 @ ^ [V8h: $i] :
% 5.55/5.77 ( lam @ ( ty_2Elist_2Elist @ A_27a )
% 5.55/5.77 @ ^ [V9t: $i] :
% 5.55/5.77 ( ap @ ( c_2Ecombin_2EI @ ( arr @ A_27state @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) )
% 5.55/5.77 @ ( ap @ ( ap @ ( c_2Estate__transformer_2EBIND @ A_27state @ ty_2Eone_2Eone @ ty_2Eone_2Eone ) @ ( ap @ V7a @ V8h ) )
% 5.55/5.77 @ ( lam @ ty_2Eone_2Eone
% 5.55/5.77 @ ^ [V10u: $i] : ( ap @ V4FOREACH @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ A_27a @ ( arr @ A_27state @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) @ V9t ) @ V7a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Estate__transformer_2EFOREACH__ind,axiom,
% 5.55/5.77 ! [A_27a: del,A_27state: del,V0P: $i] :
% 5.55/5.77 ( ( mem @ V0P @ ( arr @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ A_27a @ ( arr @ A_27state @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) @ bool ) )
% 5.55/5.77 => ( ( ! [V1a: $i] :
% 5.55/5.77 ( ( mem @ V1a @ ( arr @ A_27a @ ( arr @ A_27state @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) )
% 5.55/5.77 => ( p @ ( ap @ V0P @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ A_27a @ ( arr @ A_27state @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) @ V1a ) ) ) )
% 5.55/5.77 & ! [V2h: $i] :
% 5.55/5.77 ( ( mem @ V2h @ A_27a )
% 5.55/5.77 => ! [V3t: $i] :
% 5.55/5.77 ( ( mem @ V3t @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ! [V4a: $i] :
% 5.55/5.77 ( ( mem @ V4a @ ( arr @ A_27a @ ( arr @ A_27state @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) )
% 5.55/5.77 => ( ( p @ ( ap @ V0P @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ A_27a @ ( arr @ A_27state @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) @ V3t ) @ V4a ) ) )
% 5.55/5.77 => ( p @ ( ap @ V0P @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ A_27a @ ( arr @ A_27state @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2h ) @ V3t ) ) @ V4a ) ) ) ) ) ) ) )
% 5.55/5.77 => ! [V5v: $i] :
% 5.55/5.77 ( ( mem @ V5v @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ! [V6v1: $i] :
% 5.55/5.77 ( ( mem @ V6v1 @ ( arr @ A_27a @ ( arr @ A_27state @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) )
% 5.55/5.77 => ( p @ ( ap @ V0P @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ A_27a @ ( arr @ A_27state @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) @ V5v ) @ V6v1 ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Estate__transformer_2EFOREACH__def,axiom,
% 5.55/5.77 ! [A_27a: del,A_27state: del] :
% 5.55/5.77 ( ! [V0a: $i] :
% 5.55/5.77 ( ( mem @ V0a @ ( arr @ A_27a @ ( arr @ A_27state @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) )
% 5.55/5.77 => ( ( ap @ ( c_2Estate__transformer_2EFOREACH @ A_27a @ A_27state ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ A_27a @ ( arr @ A_27state @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) @ V0a ) )
% 5.55/5.77 = ( ap @ ( c_2Estate__transformer_2EUNIT @ A_27state @ ty_2Eone_2Eone ) @ ( inj__ty_2Eone_2Eone @ fo__c_2Eone_2Eone ) ) ) )
% 5.55/5.77 & ! [V1t: $i] :
% 5.55/5.77 ( ( mem @ V1t @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ! [V2h: $i] :
% 5.55/5.77 ( ( mem @ V2h @ A_27a )
% 5.55/5.77 => ! [V3a: $i] :
% 5.55/5.77 ( ( mem @ V3a @ ( arr @ A_27a @ ( arr @ A_27state @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) )
% 5.55/5.77 => ( ( ap @ ( c_2Estate__transformer_2EFOREACH @ A_27a @ A_27state ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ A_27a @ ( arr @ A_27state @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2h ) @ V1t ) ) @ V3a ) )
% 5.55/5.77 = ( ap @ ( ap @ ( c_2Estate__transformer_2EBIND @ A_27state @ ty_2Eone_2Eone @ ty_2Eone_2Eone ) @ ( ap @ V3a @ V2h ) )
% 5.55/5.77 @ ( lam @ ty_2Eone_2Eone
% 5.55/5.77 @ ^ [V4u: $i] : ( ap @ ( c_2Estate__transformer_2EFOREACH @ A_27a @ A_27state ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ A_27a @ ( arr @ A_27state @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) @ V1t ) @ V3a ) ) ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(ax_thm_2Estate__transformer_2EREAD__def,axiom,
% 5.55/5.77 ! [A_27a: del,A_27state: del,V0f: $i] :
% 5.55/5.77 ( ( mem @ V0f @ ( arr @ A_27state @ A_27a ) )
% 5.55/5.77 => ( ( ap @ ( c_2Estate__transformer_2EREAD @ A_27a @ A_27state ) @ V0f )
% 5.55/5.77 = ( lam @ A_27state
% 5.55/5.77 @ ^ [V1s: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27state ) @ ( ap @ V0f @ V1s ) ) @ V1s ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(ax_thm_2Estate__transformer_2EWRITE__def,axiom,
% 5.55/5.77 ! [A_27state: del,V0f: $i] :
% 5.55/5.77 ( ( mem @ V0f @ ( arr @ A_27state @ A_27state ) )
% 5.55/5.77 => ( ( ap @ ( c_2Estate__transformer_2EWRITE @ A_27state ) @ V0f )
% 5.55/5.77 = ( lam @ A_27state
% 5.55/5.77 @ ^ [V1s: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Eone_2Eone @ A_27state ) @ ( inj__ty_2Eone_2Eone @ fo__c_2Eone_2Eone ) ) @ ( ap @ V0f @ V1s ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(ax_thm_2Estate__transformer_2ENARROW__def,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,A_27state: del,V0v: $i] :
% 5.55/5.77 ( ( mem @ V0v @ A_27b )
% 5.55/5.77 => ! [V1f: $i] :
% 5.55/5.77 ( ( mem @ V1f @ ( arr @ ( ty_2Epair_2Eprod @ A_27b @ A_27state ) @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27state ) ) ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2Estate__transformer_2ENARROW @ A_27a @ A_27b @ A_27state ) @ V0v ) @ V1f )
% 5.55/5.77 = ( lam @ A_27state
% 5.55/5.77 @ ^ [V2s: $i] :
% 5.55/5.77 ( ap
% 5.55/5.77 @ ( ap @ ( c_2Ebool_2ELET @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27state ) ) @ ( ty_2Epair_2Eprod @ A_27a @ A_27state ) )
% 5.55/5.77 @ ( ap @ ( c_2Epair_2EUNCURRY @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27state ) @ ( ty_2Epair_2Eprod @ A_27a @ A_27state ) )
% 5.55/5.77 @ ( lam @ A_27a
% 5.55/5.77 @ ^ [V3r: $i] :
% 5.55/5.77 ( lam @ ( ty_2Epair_2Eprod @ A_27b @ A_27state )
% 5.55/5.77 @ ^ [V4s1: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27state ) @ V3r ) @ ( ap @ ( c_2Epair_2ESND @ A_27b @ A_27state ) @ V4s1 ) ) ) ) ) )
% 5.55/5.77 @ ( ap @ V1f @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27b @ A_27state ) @ V0v ) @ V2s ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(ax_thm_2Estate__transformer_2EWIDEN__def,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,A_27state: del,V0f: $i] :
% 5.55/5.77 ( ( mem @ V0f @ ( arr @ A_27state @ ( ty_2Epair_2Eprod @ A_27a @ A_27state ) ) )
% 5.55/5.77 => ( ( ap @ ( c_2Estate__transformer_2EWIDEN @ A_27a @ A_27b @ A_27state ) @ V0f )
% 5.55/5.77 = ( ap @ ( c_2Epair_2EUNCURRY @ A_27b @ A_27state @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27state ) ) )
% 5.55/5.77 @ ( lam @ A_27b
% 5.55/5.77 @ ^ [V1s1: $i] :
% 5.55/5.77 ( lam @ A_27state
% 5.55/5.77 @ ^ [V2s2: $i] :
% 5.55/5.77 ( ap
% 5.55/5.77 @ ( ap @ ( c_2Ebool_2ELET @ ( ty_2Epair_2Eprod @ A_27a @ A_27state ) @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27state ) ) )
% 5.55/5.77 @ ( ap @ ( c_2Epair_2EUNCURRY @ A_27a @ A_27state @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27state ) ) )
% 5.55/5.77 @ ( lam @ A_27a
% 5.55/5.77 @ ^ [V3r: $i] :
% 5.55/5.77 ( lam @ A_27state
% 5.55/5.77 @ ^ [V4s3: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27state ) ) @ V3r ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27b @ A_27state ) @ V1s1 ) @ V4s3 ) ) ) ) ) )
% 5.55/5.77 @ ( ap @ V0f @ V2s2 ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(ax_thm_2Estate__transformer_2Esequence__def,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del] :
% 5.55/5.77 ( ( c_2Estate__transformer_2Esequence @ A_27a @ A_27b )
% 5.55/5.77 = ( ap
% 5.55/5.77 @ ( ap @ ( c_2Elist_2EFOLDR @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27b ) @ A_27a ) ) )
% 5.55/5.77 @ ( lam @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) )
% 5.55/5.77 @ ^ [V0m: $i] :
% 5.55/5.77 ( lam @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27b ) @ A_27a ) )
% 5.55/5.77 @ ^ [V1ms: $i] :
% 5.55/5.77 ( ap @ ( ap @ ( c_2Estate__transformer_2EBIND @ A_27a @ A_27b @ ( ty_2Elist_2Elist @ A_27b ) ) @ V0m )
% 5.55/5.77 @ ( lam @ A_27b
% 5.55/5.77 @ ^ [V2x: $i] :
% 5.55/5.77 ( ap @ ( ap @ ( c_2Estate__transformer_2EBIND @ A_27a @ ( ty_2Elist_2Elist @ A_27b ) @ ( ty_2Elist_2Elist @ A_27b ) ) @ V1ms )
% 5.55/5.77 @ ( lam @ ( ty_2Elist_2Elist @ A_27b )
% 5.55/5.77 @ ^ [V3xs: $i] : ( ap @ ( c_2Estate__transformer_2EUNIT @ A_27a @ ( ty_2Elist_2Elist @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27b ) @ V2x ) @ V3xs ) ) ) ) ) ) ) ) )
% 5.55/5.77 @ ( ap @ ( c_2Estate__transformer_2EUNIT @ A_27a @ ( ty_2Elist_2Elist @ A_27b ) ) @ ( c_2Elist_2ENIL @ A_27b ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(ax_thm_2Estate__transformer_2EmapM__def,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.55/5.77 ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27b @ ( ty_2Epair_2Eprod @ A_27c @ A_27b ) ) ) )
% 5.55/5.77 => ( ( ap @ ( c_2Estate__transformer_2EmapM @ A_27a @ A_27b @ A_27c ) @ V0f )
% 5.55/5.77 = ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ A_27b @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27c ) @ A_27b ) ) @ ( ty_2Elist_2Elist @ ( arr @ A_27b @ ( ty_2Epair_2Eprod @ A_27c @ A_27b ) ) ) ) @ ( c_2Estate__transformer_2Esequence @ A_27b @ A_27c ) ) @ ( ap @ ( c_2Elist_2EMAP @ A_27a @ ( arr @ A_27b @ ( ty_2Epair_2Eprod @ A_27c @ A_27b ) ) ) @ V0f ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(ax_thm_2Estate__transformer_2EMWHILE__DEF,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,V0g: $i] :
% 5.55/5.77 ( ( mem @ V0g @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ bool @ A_27a ) ) )
% 5.55/5.77 => ! [V1b: $i] :
% 5.55/5.77 ( ( mem @ V1b @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2Estate__transformer_2EMWHILE @ A_27a @ A_27b ) @ V0g ) @ V1b )
% 5.55/5.77 = ( ap @ ( ap @ ( c_2Estate__transformer_2EBIND @ A_27a @ bool @ ty_2Eone_2Eone ) @ V0g )
% 5.55/5.77 @ ( lam @ bool
% 5.55/5.77 @ ^ [V2gv: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27a ) ) ) @ V2gv ) @ ( ap @ ( ap @ ( c_2Estate__transformer_2EIGNORE__BIND @ A_27a @ ty_2Eone_2Eone @ A_27b ) @ V1b ) @ ( ap @ ( ap @ ( c_2Estate__transformer_2EMWHILE @ A_27a @ A_27b ) @ V0g ) @ V1b ) ) ) @ ( ap @ ( c_2Estate__transformer_2EUNIT @ A_27a @ ty_2Eone_2Eone ) @ ( inj__ty_2Eone_2Eone @ fo__c_2Eone_2Eone ) ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Estate__transformer_2EUNIT__CURRY,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del] :
% 5.55/5.77 ( ( c_2Estate__transformer_2EUNIT @ A_27b @ A_27a )
% 5.55/5.77 = ( ap @ ( c_2Epair_2ECURRY @ A_27a @ A_27b @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( c_2Ecombin_2EI @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Estate__transformer_2EMCOMP__ALT,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0g: $i] :
% 5.55/5.77 ( ( mem @ V0g @ ( arr @ A_27d @ ( arr @ A_27b @ ( ty_2Epair_2Eprod @ A_27c @ A_27b ) ) ) )
% 5.55/5.77 => ! [V1f: $i] :
% 5.55/5.77 ( ( mem @ V1f @ ( arr @ A_27a @ ( arr @ A_27b @ ( ty_2Epair_2Eprod @ A_27d @ A_27b ) ) ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2Estate__transformer_2EMCOMP @ A_27a @ A_27d @ A_27c @ A_27b ) @ V0g ) @ V1f )
% 5.55/5.77 = ( ap @ ( c_2Epair_2ECURRY @ A_27a @ A_27b @ ( ty_2Epair_2Eprod @ A_27c @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ ( ty_2Epair_2Eprod @ A_27c @ A_27b ) @ ( ty_2Epair_2Eprod @ A_27d @ A_27b ) ) @ ( ap @ ( c_2Epair_2EUNCURRY @ A_27d @ A_27b @ ( ty_2Epair_2Eprod @ A_27c @ A_27b ) ) @ V0g ) ) @ ( ap @ ( c_2Epair_2EUNCURRY @ A_27a @ A_27b @ ( ty_2Epair_2Eprod @ A_27d @ A_27b ) ) @ V1f ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Estate__transformer_2EMCOMP__ID,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,A_27e: del,A_27f: del,V0g: $i] :
% 5.55/5.77 ( ( mem @ V0g @ ( arr @ A_27a @ ( arr @ A_27b @ ( ty_2Epair_2Eprod @ A_27c @ A_27b ) ) ) )
% 5.55/5.77 => ! [V1f: $i] :
% 5.55/5.77 ( ( mem @ V1f @ ( arr @ A_27d @ ( arr @ A_27e @ ( ty_2Epair_2Eprod @ A_27f @ A_27e ) ) ) )
% 5.55/5.77 => ( ( ( ap @ ( ap @ ( c_2Estate__transformer_2EMCOMP @ A_27a @ A_27a @ A_27c @ A_27b ) @ V0g ) @ ( c_2Estate__transformer_2EUNIT @ A_27b @ A_27a ) )
% 5.55/5.77 = V0g )
% 5.55/5.77 & ( ( ap @ ( ap @ ( c_2Estate__transformer_2EMCOMP @ A_27d @ A_27f @ A_27f @ A_27e ) @ ( c_2Estate__transformer_2EUNIT @ A_27e @ A_27f ) ) @ V1f )
% 5.55/5.77 = V1f ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Estate__transformer_2EMCOMP__ASSOC,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,A_27e: del,V0f: $i] :
% 5.55/5.77 ( ( mem @ V0f @ ( arr @ A_27d @ ( arr @ A_27b @ ( ty_2Epair_2Eprod @ A_27c @ A_27b ) ) ) )
% 5.55/5.77 => ! [V1g: $i] :
% 5.55/5.77 ( ( mem @ V1g @ ( arr @ A_27e @ ( arr @ A_27b @ ( ty_2Epair_2Eprod @ A_27d @ A_27b ) ) ) )
% 5.55/5.77 => ! [V2h: $i] :
% 5.55/5.77 ( ( mem @ V2h @ ( arr @ A_27a @ ( arr @ A_27b @ ( ty_2Epair_2Eprod @ A_27e @ A_27b ) ) ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2Estate__transformer_2EMCOMP @ A_27a @ A_27d @ A_27c @ A_27b ) @ V0f ) @ ( ap @ ( ap @ ( c_2Estate__transformer_2EMCOMP @ A_27a @ A_27e @ A_27d @ A_27b ) @ V1g ) @ V2h ) )
% 5.55/5.77 = ( ap @ ( ap @ ( c_2Estate__transformer_2EMCOMP @ A_27a @ A_27e @ A_27c @ A_27b ) @ ( ap @ ( ap @ ( c_2Estate__transformer_2EMCOMP @ A_27e @ A_27d @ A_27c @ A_27b ) @ V0f ) @ V1g ) ) @ V2h ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Estate__transformer_2EEXT__UNIT,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del] :
% 5.55/5.77 ( ( ap @ ( c_2Estate__transformer_2EEXT @ A_27b @ A_27b @ A_27a ) @ ( c_2Estate__transformer_2EUNIT @ A_27a @ A_27b ) )
% 5.55/5.77 = ( c_2Ecombin_2EI @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Estate__transformer_2EEXT__MCOMP,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0g: $i] :
% 5.55/5.77 ( ( mem @ V0g @ ( arr @ A_27d @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27c @ A_27a ) ) ) )
% 5.55/5.77 => ! [V1f: $i] :
% 5.55/5.77 ( ( mem @ V1f @ ( arr @ A_27b @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27d @ A_27a ) ) ) )
% 5.55/5.77 => ( ( ap @ ( c_2Estate__transformer_2EEXT @ A_27b @ A_27c @ A_27a ) @ ( ap @ ( ap @ ( c_2Estate__transformer_2EMCOMP @ A_27b @ A_27d @ A_27c @ A_27a ) @ V0g ) @ V1f ) )
% 5.55/5.77 = ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27c @ A_27a ) ) @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27d @ A_27a ) ) ) @ ( ap @ ( c_2Estate__transformer_2EEXT @ A_27d @ A_27c @ A_27a ) @ V0g ) ) @ ( ap @ ( c_2Estate__transformer_2EEXT @ A_27b @ A_27d @ A_27a ) @ V1f ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Estate__transformer_2EEXT__o__UNIT,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.55/5.77 ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27b @ ( ty_2Epair_2Eprod @ A_27c @ A_27b ) ) ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27a @ ( arr @ A_27b @ ( ty_2Epair_2Eprod @ A_27c @ A_27b ) ) @ ( arr @ A_27b @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) ) @ ( ap @ ( c_2Estate__transformer_2EEXT @ A_27a @ A_27c @ A_27b ) @ V0f ) ) @ ( c_2Estate__transformer_2EUNIT @ A_27b @ A_27a ) )
% 5.55/5.77 = V0f ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Estate__transformer_2EUNIT__o__MCOMP,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0g: $i] :
% 5.55/5.77 ( ( mem @ V0g @ ( arr @ A_27d @ A_27c ) )
% 5.55/5.77 => ! [V1f: $i] :
% 5.55/5.77 ( ( mem @ V1f @ ( arr @ A_27a @ A_27d ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2Estate__transformer_2EMCOMP @ A_27a @ A_27d @ A_27c @ A_27b ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27d @ ( arr @ A_27b @ ( ty_2Epair_2Eprod @ A_27c @ A_27b ) ) @ A_27c ) @ ( c_2Estate__transformer_2EUNIT @ A_27b @ A_27c ) ) @ V0g ) ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27a @ ( arr @ A_27b @ ( ty_2Epair_2Eprod @ A_27d @ A_27b ) ) @ A_27d ) @ ( c_2Estate__transformer_2EUNIT @ A_27b @ A_27d ) ) @ V1f ) )
% 5.55/5.77 = ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27a @ ( arr @ A_27b @ ( ty_2Epair_2Eprod @ A_27c @ A_27b ) ) @ A_27c ) @ ( c_2Estate__transformer_2EUNIT @ A_27b @ A_27c ) ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27a @ A_27c @ A_27d ) @ V0g ) @ V1f ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Estate__transformer_2EBIND__EXT,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,A_27c: del,V0m: $i] :
% 5.55/5.77 ( ( mem @ V0m @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27c @ A_27a ) ) )
% 5.55/5.77 => ! [V1f: $i] :
% 5.55/5.77 ( ( mem @ V1f @ ( arr @ A_27c @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2Estate__transformer_2EBIND @ A_27a @ A_27c @ A_27b ) @ V0m ) @ V1f )
% 5.55/5.77 = ( ap @ ( ap @ ( c_2Estate__transformer_2EEXT @ A_27c @ A_27b @ A_27a ) @ V1f ) @ V0m ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Estate__transformer_2EMMAP__EXT,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.55/5.77 ( ( mem @ V0f @ ( arr @ A_27b @ A_27c ) )
% 5.55/5.77 => ( ( ap @ ( c_2Estate__transformer_2EMMAP @ A_27a @ A_27c @ A_27b ) @ V0f )
% 5.55/5.77 = ( ap @ ( c_2Estate__transformer_2EEXT @ A_27b @ A_27c @ A_27a ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27c @ A_27a ) ) @ A_27c ) @ ( c_2Estate__transformer_2EUNIT @ A_27a @ A_27c ) ) @ V0f ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Estate__transformer_2EJOIN__EXT,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del] :
% 5.55/5.77 ( ( c_2Estate__transformer_2EJOIN @ A_27a @ A_27b )
% 5.55/5.77 = ( ap @ ( c_2Estate__transformer_2EEXT @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) @ A_27b @ A_27a ) @ ( c_2Ecombin_2EI @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Estate__transformer_2EEXT__JM,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.55/5.77 ( ( mem @ V0f @ ( arr @ A_27b @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27c @ A_27a ) ) ) )
% 5.55/5.77 => ( ( ap @ ( c_2Estate__transformer_2EEXT @ A_27b @ A_27c @ A_27a ) @ V0f )
% 5.55/5.77 = ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27c @ A_27a ) ) @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27c @ A_27a ) ) @ A_27a ) ) ) @ ( c_2Estate__transformer_2EJOIN @ A_27a @ A_27c ) ) @ ( ap @ ( c_2Estate__transformer_2EMMAP @ A_27a @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27c @ A_27a ) ) @ A_27b ) @ V0f ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Estate__transformer_2EBIND__LEFT__UNIT,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,A_27c: del,V0k: $i] :
% 5.55/5.77 ( ( mem @ V0k @ ( arr @ A_27a @ ( arr @ A_27b @ ( ty_2Epair_2Eprod @ A_27c @ A_27b ) ) ) )
% 5.55/5.77 => ! [V1x: $i] :
% 5.55/5.77 ( ( mem @ V1x @ A_27a )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2Estate__transformer_2EBIND @ A_27b @ A_27a @ A_27c ) @ ( ap @ ( c_2Estate__transformer_2EUNIT @ A_27b @ A_27a ) @ V1x ) ) @ V0k )
% 5.55/5.77 = ( ap @ V0k @ V1x ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Estate__transformer_2EUNIT__UNCURRY,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.55/5.77 ( ( mem @ V0s @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2Epair_2EUNCURRY @ A_27a @ A_27b @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( c_2Estate__transformer_2EUNIT @ A_27b @ A_27a ) ) @ V0s )
% 5.55/5.77 = V0s ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Estate__transformer_2EBIND__RIGHT__UNIT,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,V0k: $i] :
% 5.55/5.77 ( ( mem @ V0k @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2Estate__transformer_2EBIND @ A_27a @ A_27b @ A_27b ) @ V0k ) @ ( c_2Estate__transformer_2EUNIT @ A_27a @ A_27b ) )
% 5.55/5.77 = V0k ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Estate__transformer_2EBIND__ASSOC,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0k: $i] :
% 5.55/5.77 ( ( mem @ V0k @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) )
% 5.55/5.77 => ! [V1m: $i] :
% 5.55/5.77 ( ( mem @ V1m @ ( arr @ A_27b @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27c @ A_27a ) ) ) )
% 5.55/5.77 => ! [V2n: $i] :
% 5.55/5.77 ( ( mem @ V2n @ ( arr @ A_27c @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27d @ A_27a ) ) ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2Estate__transformer_2EBIND @ A_27a @ A_27b @ A_27d ) @ V0k )
% 5.55/5.77 @ ( lam @ A_27b
% 5.55/5.77 @ ^ [V3a: $i] : ( ap @ ( ap @ ( c_2Estate__transformer_2EBIND @ A_27a @ A_27c @ A_27d ) @ ( ap @ V1m @ V3a ) ) @ V2n ) ) )
% 5.55/5.77 = ( ap @ ( ap @ ( c_2Estate__transformer_2EBIND @ A_27a @ A_27c @ A_27d ) @ ( ap @ ( ap @ ( c_2Estate__transformer_2EBIND @ A_27a @ A_27b @ A_27c ) @ V0k ) @ V1m ) ) @ V2n ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Estate__transformer_2EMMAP__ID,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del] :
% 5.55/5.77 ( ( ap @ ( c_2Estate__transformer_2EMMAP @ A_27a @ A_27b @ A_27b ) @ ( c_2Ecombin_2EI @ A_27b ) )
% 5.55/5.77 = ( c_2Ecombin_2EI @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Estate__transformer_2EMMAP__COMP,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0f: $i] :
% 5.55/5.77 ( ( mem @ V0f @ ( arr @ A_27c @ A_27d ) )
% 5.55/5.77 => ! [V1g: $i] :
% 5.55/5.77 ( ( mem @ V1g @ ( arr @ A_27b @ A_27c ) )
% 5.55/5.77 => ( ( ap @ ( c_2Estate__transformer_2EMMAP @ A_27a @ A_27d @ A_27b ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ A_27d @ A_27c ) @ V0f ) @ V1g ) )
% 5.55/5.77 = ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27d @ A_27a ) ) @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27c @ A_27a ) ) ) @ ( ap @ ( c_2Estate__transformer_2EMMAP @ A_27a @ A_27d @ A_27c ) @ V0f ) ) @ ( ap @ ( c_2Estate__transformer_2EMMAP @ A_27a @ A_27c @ A_27b ) @ V1g ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Estate__transformer_2EMMAP__UNIT,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.55/5.77 ( ( mem @ V0f @ ( arr @ A_27b @ A_27c ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27c @ A_27a ) ) @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) @ ( ap @ ( c_2Estate__transformer_2EMMAP @ A_27a @ A_27c @ A_27b ) @ V0f ) ) @ ( c_2Estate__transformer_2EUNIT @ A_27a @ A_27b ) )
% 5.55/5.77 = ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27c @ A_27a ) ) @ A_27c ) @ ( c_2Estate__transformer_2EUNIT @ A_27a @ A_27c ) ) @ V0f ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Estate__transformer_2EEXT__o__JOIN,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.55/5.77 ( ( mem @ V0f @ ( arr @ A_27b @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27c @ A_27a ) ) ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) @ A_27a ) ) @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27c @ A_27a ) ) @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) @ ( ap @ ( c_2Estate__transformer_2EEXT @ A_27b @ A_27c @ A_27a ) @ V0f ) ) @ ( c_2Estate__transformer_2EJOIN @ A_27a @ A_27b ) )
% 5.55/5.77 = ( ap @ ( c_2Estate__transformer_2EEXT @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) @ A_27c @ A_27a ) @ ( ap @ ( c_2Estate__transformer_2EEXT @ A_27b @ A_27c @ A_27a ) @ V0f ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Estate__transformer_2EMMAP__JOIN,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.55/5.77 ( ( mem @ V0f @ ( arr @ A_27b @ A_27c ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) @ A_27a ) ) @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27c @ A_27a ) ) @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) @ ( ap @ ( c_2Estate__transformer_2EMMAP @ A_27a @ A_27c @ A_27b ) @ V0f ) ) @ ( c_2Estate__transformer_2EJOIN @ A_27a @ A_27b ) )
% 5.55/5.77 = ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) @ A_27a ) ) @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27c @ A_27a ) ) @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27c @ A_27a ) ) @ A_27a ) ) ) @ ( c_2Estate__transformer_2EJOIN @ A_27a @ A_27c ) ) @ ( ap @ ( c_2Estate__transformer_2EMMAP @ A_27a @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27c @ A_27a ) ) @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) @ ( ap @ ( c_2Estate__transformer_2EMMAP @ A_27a @ A_27c @ A_27b ) @ V0f ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Estate__transformer_2EJOIN__UNIT,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del] :
% 5.55/5.77 ( ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) @ A_27a ) ) ) @ ( c_2Estate__transformer_2EJOIN @ A_27a @ A_27b ) ) @ ( c_2Estate__transformer_2EUNIT @ A_27a @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) )
% 5.55/5.77 = ( c_2Ecombin_2EI @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Estate__transformer_2EJOIN__MMAP__UNIT,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del] :
% 5.55/5.77 ( ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) @ A_27a ) ) ) @ ( c_2Estate__transformer_2EJOIN @ A_27a @ A_27b ) ) @ ( ap @ ( c_2Estate__transformer_2EMMAP @ A_27a @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) @ A_27b ) @ ( c_2Estate__transformer_2EUNIT @ A_27a @ A_27b ) ) )
% 5.55/5.77 = ( c_2Ecombin_2EI @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Estate__transformer_2EJOIN__MAP__JOIN,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del] :
% 5.55/5.77 ( ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) @ A_27a ) ) @ A_27a ) ) @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) @ A_27a ) ) ) @ ( c_2Estate__transformer_2EJOIN @ A_27a @ A_27b ) ) @ ( ap @ ( c_2Estate__transformer_2EMMAP @ A_27a @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) @ A_27a ) ) ) @ ( c_2Estate__transformer_2EJOIN @ A_27a @ A_27b ) ) )
% 5.55/5.77 = ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) @ A_27a ) ) @ A_27a ) ) @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) @ A_27a ) ) ) @ ( c_2Estate__transformer_2EJOIN @ A_27a @ A_27b ) ) @ ( c_2Estate__transformer_2EJOIN @ A_27a @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Estate__transformer_2EJOIN__MAP,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,A_27c: del,V0k: $i] :
% 5.55/5.77 ( ( mem @ V0k @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) )
% 5.55/5.77 => ! [V1m: $i] :
% 5.55/5.77 ( ( mem @ V1m @ ( arr @ A_27b @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27c @ A_27a ) ) ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2Estate__transformer_2EBIND @ A_27a @ A_27b @ A_27c ) @ V0k ) @ V1m )
% 5.55/5.77 = ( ap @ ( c_2Estate__transformer_2EJOIN @ A_27a @ A_27c ) @ ( ap @ ( ap @ ( c_2Estate__transformer_2EMMAP @ A_27a @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27c @ A_27a ) ) @ A_27b ) @ V1m ) @ V0k ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Estate__transformer_2EFST__o__UNIT,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,V0x: $i] :
% 5.55/5.77 ( ( mem @ V0x @ A_27a )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ A_27a @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( c_2Epair_2EFST @ A_27a @ A_27b ) ) @ ( ap @ ( c_2Estate__transformer_2EUNIT @ A_27b @ A_27a ) @ V0x ) )
% 5.55/5.77 = ( ap @ ( c_2Ecombin_2EK @ A_27a @ A_27b ) @ V0x ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Estate__transformer_2ESND__o__UNIT,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,V0x: $i] :
% 5.55/5.77 ( ( mem @ V0x @ A_27a )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ A_27b @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( c_2Epair_2ESND @ A_27a @ A_27b ) ) @ ( ap @ ( c_2Estate__transformer_2EUNIT @ A_27b @ A_27a ) @ V0x ) )
% 5.55/5.77 = ( c_2Ecombin_2EI @ A_27b ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Estate__transformer_2EFST__o__MMAP,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.55/5.77 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.55/5.77 => ! [V1g: $i] :
% 5.55/5.77 ( ( mem @ V1g @ ( arr @ A_27c @ ( ty_2Epair_2Eprod @ A_27a @ A_27c ) ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27c @ A_27b @ ( ty_2Epair_2Eprod @ A_27b @ A_27c ) ) @ ( c_2Epair_2EFST @ A_27b @ A_27c ) ) @ ( ap @ ( ap @ ( c_2Estate__transformer_2EMMAP @ A_27c @ A_27b @ A_27a ) @ V0f ) @ V1g ) )
% 5.55/5.77 = ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27c @ A_27b @ A_27a ) @ V0f ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27c @ A_27a @ ( ty_2Epair_2Eprod @ A_27a @ A_27c ) ) @ ( c_2Epair_2EFST @ A_27a @ A_27c ) ) @ V1g ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Estate__transformer_2Esequence__nil,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del] :
% 5.55/5.77 ( ( ap @ ( c_2Estate__transformer_2Esequence @ A_27a @ A_27b ) @ ( c_2Elist_2ENIL @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) )
% 5.55/5.77 = ( ap @ ( c_2Estate__transformer_2EUNIT @ A_27a @ ( ty_2Elist_2Elist @ A_27b ) ) @ ( c_2Elist_2ENIL @ A_27b ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Estate__transformer_2EmapM__nil,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.55/5.77 ( ( mem @ V0f @ ( arr @ A_27c @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2Estate__transformer_2EmapM @ A_27c @ A_27a @ A_27b ) @ V0f ) @ ( c_2Elist_2ENIL @ A_27c ) )
% 5.55/5.77 = ( ap @ ( c_2Estate__transformer_2EUNIT @ A_27a @ ( ty_2Elist_2Elist @ A_27b ) ) @ ( c_2Elist_2ENIL @ A_27b ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2Estate__transformer_2EmapM__cons,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.55/5.77 ( ( mem @ V0f @ ( arr @ A_27c @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) )
% 5.55/5.77 => ! [V1x: $i] :
% 5.55/5.77 ( ( mem @ V1x @ A_27c )
% 5.55/5.77 => ! [V2xs: $i] :
% 5.55/5.77 ( ( mem @ V2xs @ ( ty_2Elist_2Elist @ A_27c ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2Estate__transformer_2EmapM @ A_27c @ A_27a @ A_27b ) @ V0f ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27c ) @ V1x ) @ V2xs ) )
% 5.55/5.77 = ( ap @ ( ap @ ( c_2Estate__transformer_2EBIND @ A_27a @ A_27b @ ( ty_2Elist_2Elist @ A_27b ) ) @ ( ap @ V0f @ V1x ) )
% 5.55/5.77 @ ( lam @ A_27b
% 5.55/5.77 @ ^ [V3y: $i] :
% 5.55/5.77 ( ap @ ( ap @ ( c_2Estate__transformer_2EBIND @ A_27a @ ( ty_2Elist_2Elist @ A_27b ) @ ( ty_2Elist_2Elist @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Estate__transformer_2EmapM @ A_27c @ A_27a @ A_27b ) @ V0f ) @ V2xs ) )
% 5.55/5.77 @ ( lam @ ( ty_2Elist_2Elist @ A_27b )
% 5.55/5.77 @ ^ [V4ys: $i] : ( ap @ ( c_2Estate__transformer_2EUNIT @ A_27a @ ( ty_2Elist_2Elist @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27b ) @ V3y ) @ V4ys ) ) ) ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 %------------------------------------------------------------------------------
% 5.55/5.77 %------------------------------------------------------------------------------
% 5.55/5.77 thf(tp_c_2ElistRange_2ElistRangeINC,type,
% 5.55/5.77 c_2ElistRange_2ElistRangeINC: $i ).
% 5.55/5.77
% 5.55/5.77 thf(mem_c_2ElistRange_2ElistRangeINC,axiom,
% 5.55/5.77 mem @ c_2ElistRange_2ElistRangeINC @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ ty_2Enum_2Enum ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(tp_c_2ElistRange_2ElistRangeLHI,type,
% 5.55/5.77 c_2ElistRange_2ElistRangeLHI: $i ).
% 5.55/5.77
% 5.55/5.77 thf(mem_c_2ElistRange_2ElistRangeLHI,axiom,
% 5.55/5.77 mem @ c_2ElistRange_2ElistRangeLHI @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ ty_2Enum_2Enum ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(ax_thm_2ElistRange_2ElistRangeINC__def,axiom,
% 5.55/5.77 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.55/5.77 ( ( surj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ ( ap @ ( ap @ c_2ElistRange_2ElistRangeINC @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.55/5.77 = ( surj__c_ty_2Elist_2Elist_ty_2Enum_2Enum
% 5.55/5.77 @ ( ap
% 5.55/5.77 @ ( ap @ ( c_2Elist_2EGENLIST @ ty_2Enum_2Enum )
% 5.55/5.77 @ ( lam @ ty_2Enum_2Enum
% 5.55/5.77 @ ^ [V2i: $i] : ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ V2i ) ) )
% 5.55/5.77 @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2ElistRange_2ElistRangeINC__SING,axiom,
% 5.55/5.77 ! [V0m: tp__ty_2Enum_2Enum] :
% 5.55/5.77 ( ( surj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ ( ap @ ( ap @ c_2ElistRange_2ElistRangeINC @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) )
% 5.55/5.77 = ( surj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( c_2Elist_2ENIL @ ty_2Enum_2Enum ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2ElistRange_2EMEM__listRangeINC,axiom,
% 5.55/5.77 ! [V0x: tp__ty_2Enum_2Enum,V1m: tp__ty_2Enum_2Enum,V2n: tp__ty_2Enum_2Enum] :
% 5.55/5.77 ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ c_2ElistRange_2ElistRangeINC @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) )
% 5.55/5.77 <=> ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( inj__ty_2Enum_2Enum @ V0x ) ) )
% 5.55/5.77 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2ElistRange_2ElistRangeINC__CONS,axiom,
% 5.55/5.77 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.55/5.77 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.55/5.77 => ( ( surj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ ( ap @ ( ap @ c_2ElistRange_2ElistRangeINC @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.55/5.77 = ( surj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( ap @ ( ap @ c_2ElistRange_2ElistRangeINC @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2ElistRange_2ElistRangeINC__EMPTY,axiom,
% 5.55/5.77 ! [V0n: tp__ty_2Enum_2Enum,V1m: tp__ty_2Enum_2Enum] :
% 5.55/5.77 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) )
% 5.55/5.77 => ( ( surj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ ( ap @ ( ap @ c_2ElistRange_2ElistRangeINC @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.55/5.77 = ( surj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ ( c_2Elist_2ENIL @ ty_2Enum_2Enum ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(ax_thm_2ElistRange_2ElistRangeLHI__def,axiom,
% 5.55/5.77 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.55/5.77 ( ( surj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ ( ap @ ( ap @ c_2ElistRange_2ElistRangeLHI @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.55/5.77 = ( surj__c_ty_2Elist_2Elist_ty_2Enum_2Enum
% 5.55/5.77 @ ( ap
% 5.55/5.77 @ ( ap @ ( c_2Elist_2EGENLIST @ ty_2Enum_2Enum )
% 5.55/5.77 @ ( lam @ ty_2Enum_2Enum
% 5.55/5.77 @ ^ [V2i: $i] : ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ V2i ) ) )
% 5.55/5.77 @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2ElistRange_2ElistRangeLHI__EQ,axiom,
% 5.55/5.77 ! [V0m: tp__ty_2Enum_2Enum] :
% 5.55/5.77 ( ( surj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ ( ap @ ( ap @ c_2ElistRange_2ElistRangeLHI @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) )
% 5.55/5.77 = ( surj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ ( c_2Elist_2ENIL @ ty_2Enum_2Enum ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2ElistRange_2EMEM__listRangeLHI,axiom,
% 5.55/5.77 ! [V0x: tp__ty_2Enum_2Enum,V1m: tp__ty_2Enum_2Enum,V2n: tp__ty_2Enum_2Enum] :
% 5.55/5.77 ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ c_2ElistRange_2ElistRangeLHI @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) )
% 5.55/5.77 <=> ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( inj__ty_2Enum_2Enum @ V0x ) ) )
% 5.55/5.77 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2ElistRange_2ElistRangeLHI__EMPTY,axiom,
% 5.55/5.77 ! [V0hi: tp__ty_2Enum_2Enum,V1lo: tp__ty_2Enum_2Enum] :
% 5.55/5.77 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0hi ) ) @ ( inj__ty_2Enum_2Enum @ V1lo ) ) )
% 5.55/5.77 => ( ( surj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ ( ap @ ( ap @ c_2ElistRange_2ElistRangeLHI @ ( inj__ty_2Enum_2Enum @ V1lo ) ) @ ( inj__ty_2Enum_2Enum @ V0hi ) ) )
% 5.55/5.77 = ( surj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ ( c_2Elist_2ENIL @ ty_2Enum_2Enum ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2ElistRange_2ElistRangeLHI__CONS,axiom,
% 5.55/5.77 ! [V0lo: tp__ty_2Enum_2Enum,V1hi: tp__ty_2Enum_2Enum] :
% 5.55/5.77 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0lo ) ) @ ( inj__ty_2Enum_2Enum @ V1hi ) ) )
% 5.55/5.77 => ( ( surj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ ( ap @ ( ap @ c_2ElistRange_2ElistRangeLHI @ ( inj__ty_2Enum_2Enum @ V0lo ) ) @ ( inj__ty_2Enum_2Enum @ V1hi ) ) )
% 5.55/5.77 = ( surj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V0lo ) ) @ ( ap @ ( ap @ c_2ElistRange_2ElistRangeLHI @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0lo ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1hi ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2ElistRange_2ElistRangeLHI__ALL__DISTINCT,axiom,
% 5.55/5.77 ! [V0lo: tp__ty_2Enum_2Enum,V1hi: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( c_2Elist_2EALL__DISTINCT @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ c_2ElistRange_2ElistRangeLHI @ ( inj__ty_2Enum_2Enum @ V0lo ) ) @ ( inj__ty_2Enum_2Enum @ V1hi ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2ElistRange_2ELENGTH__listRangeLHI,axiom,
% 5.55/5.77 ! [V0lo: tp__ty_2Enum_2Enum,V1hi: tp__ty_2Enum_2Enum] :
% 5.55/5.77 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ c_2ElistRange_2ElistRangeLHI @ ( inj__ty_2Enum_2Enum @ V0lo ) ) @ ( inj__ty_2Enum_2Enum @ V1hi ) ) ) )
% 5.55/5.77 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V1hi ) ) @ ( inj__ty_2Enum_2Enum @ V0lo ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2ElistRange_2EEL__listRangeLHI,axiom,
% 5.55/5.77 ! [V0lo: tp__ty_2Enum_2Enum,V1i: tp__ty_2Enum_2Enum,V2hi: tp__ty_2Enum_2Enum] :
% 5.55/5.77 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0lo ) ) @ ( inj__ty_2Enum_2Enum @ V1i ) ) ) @ ( inj__ty_2Enum_2Enum @ V2hi ) ) )
% 5.55/5.77 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( c_2Elist_2EEL @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V1i ) ) @ ( ap @ ( ap @ c_2ElistRange_2ElistRangeLHI @ ( inj__ty_2Enum_2Enum @ V0lo ) ) @ ( inj__ty_2Enum_2Enum @ V2hi ) ) ) )
% 5.55/5.77 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0lo ) ) @ ( inj__ty_2Enum_2Enum @ V1i ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 %------------------------------------------------------------------------------
% 5.55/5.77 %------------------------------------------------------------------------------
% 5.55/5.77 thf(tp_c_2EerrorStateMonad_2EBIND,type,
% 5.55/5.77 c_2EerrorStateMonad_2EBIND: del > del > del > $i ).
% 5.55/5.77
% 5.55/5.77 thf(mem_c_2EerrorStateMonad_2EBIND,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,A_27c: del] : ( mem @ ( c_2EerrorStateMonad_2EBIND @ A_27a @ A_27b @ A_27c ) @ ( arr @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) @ ( arr @ ( arr @ A_27b @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27c @ A_27a ) ) ) ) @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27c @ A_27a ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(tp_c_2EerrorStateMonad_2EES__APPLY,type,
% 5.55/5.77 c_2EerrorStateMonad_2EES__APPLY: del > del > del > $i ).
% 5.55/5.77
% 5.55/5.77 thf(mem_c_2EerrorStateMonad_2EES__APPLY,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,A_27c: del] : ( mem @ ( c_2EerrorStateMonad_2EES__APPLY @ A_27a @ A_27b @ A_27c ) @ ( arr @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ( arr @ A_27c @ A_27b ) @ A_27a ) ) ) @ ( arr @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27c @ A_27a ) ) ) @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(tp_c_2EerrorStateMonad_2EES__CHOICE,type,
% 5.55/5.77 c_2EerrorStateMonad_2EES__CHOICE: del > del > $i ).
% 5.55/5.77
% 5.55/5.77 thf(mem_c_2EerrorStateMonad_2EES__CHOICE,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2EerrorStateMonad_2EES__CHOICE @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ ( arr @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27a ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(tp_c_2EerrorStateMonad_2EES__FAIL,type,
% 5.55/5.77 c_2EerrorStateMonad_2EES__FAIL: del > del > $i ).
% 5.55/5.77
% 5.55/5.77 thf(mem_c_2EerrorStateMonad_2EES__FAIL,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2EerrorStateMonad_2EES__FAIL @ A_27a @ A_27b ) @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27a ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(tp_c_2EerrorStateMonad_2EES__GUARD,type,
% 5.55/5.77 c_2EerrorStateMonad_2EES__GUARD: del > $i ).
% 5.55/5.77
% 5.55/5.77 thf(mem_c_2EerrorStateMonad_2EES__GUARD,axiom,
% 5.55/5.77 ! [A_27a: del] : ( mem @ ( c_2EerrorStateMonad_2EES__GUARD @ A_27a ) @ ( arr @ bool @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27a ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(tp_c_2EerrorStateMonad_2EES__LIFT2,type,
% 5.55/5.77 c_2EerrorStateMonad_2EES__LIFT2: del > del > del > del > $i ).
% 5.55/5.77
% 5.55/5.77 thf(mem_c_2EerrorStateMonad_2EES__LIFT2,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del] : ( mem @ ( c_2EerrorStateMonad_2EES__LIFT2 @ A_27a @ A_27b @ A_27c @ A_27d ) @ ( arr @ ( arr @ A_27c @ ( arr @ A_27d @ A_27b ) ) @ ( arr @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27c @ A_27a ) ) ) @ ( arr @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27d @ A_27a ) ) ) @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(tp_c_2EerrorStateMonad_2EEXT,type,
% 5.55/5.77 c_2EerrorStateMonad_2EEXT: del > del > del > $i ).
% 5.55/5.77
% 5.55/5.77 thf(mem_c_2EerrorStateMonad_2EEXT,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,A_27c: del] : ( mem @ ( c_2EerrorStateMonad_2EEXT @ A_27a @ A_27b @ A_27c ) @ ( arr @ ( arr @ A_27c @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) ) @ ( arr @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27c @ A_27a ) ) ) @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(tp_c_2EerrorStateMonad_2EFOR,type,
% 5.55/5.77 c_2EerrorStateMonad_2EFOR: del > $i ).
% 5.55/5.77
% 5.55/5.77 thf(mem_c_2EerrorStateMonad_2EFOR,axiom,
% 5.55/5.77 ! [A_27state: del] : ( mem @ ( c_2EerrorStateMonad_2EFOR @ A_27state ) @ ( arr @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27state @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) ) ) @ ( arr @ A_27state @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(tp_c_2EerrorStateMonad_2EFOREACH,type,
% 5.55/5.77 c_2EerrorStateMonad_2EFOREACH: del > del > $i ).
% 5.55/5.77
% 5.55/5.77 thf(mem_c_2EerrorStateMonad_2EFOREACH,axiom,
% 5.55/5.77 ! [A_27a: del,A_27state: del] : ( mem @ ( c_2EerrorStateMonad_2EFOREACH @ A_27a @ A_27state ) @ ( arr @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ A_27a @ ( arr @ A_27state @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) ) @ ( arr @ A_27state @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(tp_c_2EerrorStateMonad_2EIGNORE__BIND,type,
% 5.55/5.77 c_2EerrorStateMonad_2EIGNORE__BIND: del > del > del > $i ).
% 5.55/5.77
% 5.55/5.77 thf(mem_c_2EerrorStateMonad_2EIGNORE__BIND,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,A_27c: del] : ( mem @ ( c_2EerrorStateMonad_2EIGNORE__BIND @ A_27a @ A_27b @ A_27c ) @ ( arr @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) ) @ ( arr @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27c @ A_27b ) ) ) @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27c @ A_27b ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(tp_c_2EerrorStateMonad_2EJOIN,type,
% 5.55/5.77 c_2EerrorStateMonad_2EJOIN: del > del > $i ).
% 5.55/5.77
% 5.55/5.77 thf(mem_c_2EerrorStateMonad_2EJOIN,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2EerrorStateMonad_2EJOIN @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) @ A_27a ) ) ) @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(tp_c_2EerrorStateMonad_2EMCOMP,type,
% 5.55/5.77 c_2EerrorStateMonad_2EMCOMP: del > del > del > del > del > $i ).
% 5.55/5.77
% 5.55/5.77 thf(mem_c_2EerrorStateMonad_2EMCOMP,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,A_27e: del] : ( mem @ ( c_2EerrorStateMonad_2EMCOMP @ A_27a @ A_27b @ A_27c @ A_27d @ A_27e ) @ ( arr @ ( arr @ A_27d @ ( arr @ A_27e @ ( ty_2Eoption_2Eoption @ A_27c ) ) ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27d @ A_27e ) ) ) ) @ ( arr @ A_27a @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27c ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(tp_c_2EerrorStateMonad_2EMMAP,type,
% 5.55/5.77 c_2EerrorStateMonad_2EMMAP: del > del > del > $i ).
% 5.55/5.77
% 5.55/5.77 thf(mem_c_2EerrorStateMonad_2EMMAP,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,A_27c: del] : ( mem @ ( c_2EerrorStateMonad_2EMMAP @ A_27a @ A_27b @ A_27c ) @ ( arr @ ( arr @ A_27c @ A_27b ) @ ( arr @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27c @ A_27a ) ) ) @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(tp_c_2EerrorStateMonad_2ENARROW,type,
% 5.55/5.77 c_2EerrorStateMonad_2ENARROW: del > del > del > $i ).
% 5.55/5.77
% 5.55/5.77 thf(mem_c_2EerrorStateMonad_2ENARROW,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,A_27state: del] : ( mem @ ( c_2EerrorStateMonad_2ENARROW @ A_27a @ A_27b @ A_27state ) @ ( arr @ A_27b @ ( arr @ ( arr @ ( ty_2Epair_2Eprod @ A_27b @ A_27state ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27state ) ) ) ) @ ( arr @ A_27state @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27a @ A_27state ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(tp_c_2EerrorStateMonad_2EREAD,type,
% 5.55/5.77 c_2EerrorStateMonad_2EREAD: del > del > $i ).
% 5.55/5.77
% 5.55/5.77 thf(mem_c_2EerrorStateMonad_2EREAD,axiom,
% 5.55/5.77 ! [A_27a: del,A_27state: del] : ( mem @ ( c_2EerrorStateMonad_2EREAD @ A_27a @ A_27state ) @ ( arr @ ( arr @ A_27state @ A_27a ) @ ( arr @ A_27state @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27a @ A_27state ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(tp_c_2EerrorStateMonad_2EUNIT,type,
% 5.55/5.77 c_2EerrorStateMonad_2EUNIT: del > del > $i ).
% 5.55/5.77
% 5.55/5.77 thf(mem_c_2EerrorStateMonad_2EUNIT,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2EerrorStateMonad_2EUNIT @ A_27a @ A_27b ) @ ( arr @ A_27b @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(tp_c_2EerrorStateMonad_2EWIDEN,type,
% 5.55/5.77 c_2EerrorStateMonad_2EWIDEN: del > del > del > $i ).
% 5.55/5.77
% 5.55/5.77 thf(mem_c_2EerrorStateMonad_2EWIDEN,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,A_27state: del] : ( mem @ ( c_2EerrorStateMonad_2EWIDEN @ A_27a @ A_27b @ A_27state ) @ ( arr @ ( arr @ A_27state @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27a @ A_27state ) ) ) @ ( arr @ ( ty_2Epair_2Eprod @ A_27b @ A_27state ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27state ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(tp_c_2EerrorStateMonad_2EWRITE,type,
% 5.55/5.77 c_2EerrorStateMonad_2EWRITE: del > $i ).
% 5.55/5.77
% 5.55/5.77 thf(mem_c_2EerrorStateMonad_2EWRITE,axiom,
% 5.55/5.77 ! [A_27state: del] : ( mem @ ( c_2EerrorStateMonad_2EWRITE @ A_27state ) @ ( arr @ ( arr @ A_27state @ A_27state ) @ ( arr @ A_27state @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(tp_c_2EerrorStateMonad_2EmapM,type,
% 5.55/5.77 c_2EerrorStateMonad_2EmapM: del > del > del > $i ).
% 5.55/5.77
% 5.55/5.77 thf(mem_c_2EerrorStateMonad_2EmapM,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,A_27c: del] : ( mem @ ( c_2EerrorStateMonad_2EmapM @ A_27a @ A_27b @ A_27c ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27c @ A_27b ) ) ) ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27c ) @ A_27b ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(tp_c_2EerrorStateMonad_2Esequence,type,
% 5.55/5.77 c_2EerrorStateMonad_2Esequence: del > del > $i ).
% 5.55/5.77
% 5.55/5.77 thf(mem_c_2EerrorStateMonad_2Esequence,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2EerrorStateMonad_2Esequence @ A_27a @ A_27b ) @ ( arr @ ( ty_2Elist_2Elist @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) ) @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27b ) @ A_27a ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(ax_thm_2EerrorStateMonad_2EUNIT__DEF,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,V0x: $i] :
% 5.55/5.77 ( ( mem @ V0x @ A_27b )
% 5.55/5.77 => ( ( ap @ ( c_2EerrorStateMonad_2EUNIT @ A_27a @ A_27b ) @ V0x )
% 5.55/5.77 = ( lam @ A_27a
% 5.55/5.77 @ ^ [V1s: $i] : ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27b @ A_27a ) @ V0x ) @ V1s ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(ax_thm_2EerrorStateMonad_2EBIND__DEF,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,A_27c: del,V0g: $i] :
% 5.55/5.77 ( ( mem @ V0g @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) )
% 5.55/5.77 => ! [V1f: $i] :
% 5.55/5.77 ( ( mem @ V1f @ ( arr @ A_27b @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27c @ A_27a ) ) ) ) )
% 5.55/5.77 => ! [V2s0: $i] :
% 5.55/5.77 ( ( mem @ V2s0 @ A_27a )
% 5.55/5.77 => ( ( ap @ ( ap @ ( ap @ ( c_2EerrorStateMonad_2EBIND @ A_27a @ A_27b @ A_27c ) @ V0g ) @ V1f ) @ V2s0 )
% 5.55/5.77 = ( ap @ ( ap @ ( ap @ ( c_2Eoption_2Eoption__CASE @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27c @ A_27a ) ) ) @ ( ap @ V0g @ V2s0 ) ) @ ( c_2Eoption_2ENONE @ ( ty_2Epair_2Eprod @ A_27c @ A_27a ) ) )
% 5.55/5.77 @ ( lam @ ( ty_2Epair_2Eprod @ A_27b @ A_27a )
% 5.55/5.77 @ ^ [V3v: $i] :
% 5.55/5.77 ( ap @ ( ap @ ( c_2Epair_2Epair__CASE @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27c @ A_27a ) ) @ A_27b @ A_27a ) @ V3v )
% 5.55/5.77 @ ( lam @ A_27b
% 5.55/5.77 @ ^ [V4b: $i] :
% 5.55/5.77 ( lam @ A_27a
% 5.55/5.77 @ ^ [V5s: $i] : ( ap @ ( ap @ V1f @ V4b ) @ V5s ) ) ) ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(ax_thm_2EerrorStateMonad_2EIGNORE__BIND__DEF,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.55/5.77 ( ( mem @ V0f @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) ) )
% 5.55/5.77 => ! [V1g: $i] :
% 5.55/5.77 ( ( mem @ V1g @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27c @ A_27b ) ) ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2EerrorStateMonad_2EIGNORE__BIND @ A_27a @ A_27b @ A_27c ) @ V0f ) @ V1g )
% 5.55/5.77 = ( ap @ ( ap @ ( c_2EerrorStateMonad_2EBIND @ A_27b @ A_27a @ A_27c ) @ V0f )
% 5.55/5.77 @ ( lam @ A_27a
% 5.55/5.77 @ ^ [V2x: $i] : V1g ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(ax_thm_2EerrorStateMonad_2EMMAP__DEF,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.55/5.77 ( ( mem @ V0f @ ( arr @ A_27c @ A_27b ) )
% 5.55/5.77 => ! [V1m: $i] :
% 5.55/5.77 ( ( mem @ V1m @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27c @ A_27a ) ) ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2EerrorStateMonad_2EMMAP @ A_27a @ A_27b @ A_27c ) @ V0f ) @ V1m )
% 5.55/5.77 = ( ap @ ( ap @ ( c_2EerrorStateMonad_2EBIND @ A_27a @ A_27c @ A_27b ) @ V1m ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27c @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) @ A_27b ) @ ( c_2EerrorStateMonad_2EUNIT @ A_27a @ A_27b ) ) @ V0f ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(ax_thm_2EerrorStateMonad_2EJOIN__DEF,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,V0z: $i] :
% 5.55/5.77 ( ( mem @ V0z @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) @ A_27a ) ) ) )
% 5.55/5.77 => ( ( ap @ ( c_2EerrorStateMonad_2EJOIN @ A_27a @ A_27b ) @ V0z )
% 5.55/5.77 = ( ap @ ( ap @ ( c_2EerrorStateMonad_2EBIND @ A_27a @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) @ A_27b ) @ V0z ) @ ( c_2Ecombin_2EI @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(ax_thm_2EerrorStateMonad_2EEXT__DEF,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,A_27c: del,V0g: $i] :
% 5.55/5.77 ( ( mem @ V0g @ ( arr @ A_27c @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) ) )
% 5.55/5.77 => ! [V1m: $i] :
% 5.55/5.77 ( ( mem @ V1m @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27c @ A_27a ) ) ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2EerrorStateMonad_2EEXT @ A_27a @ A_27b @ A_27c ) @ V0g ) @ V1m )
% 5.55/5.77 = ( ap @ ( ap @ ( c_2EerrorStateMonad_2EBIND @ A_27a @ A_27c @ A_27b ) @ V1m ) @ V0g ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(ax_thm_2EerrorStateMonad_2EMCOMP__DEF,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,A_27e: del,V0g: $i] :
% 5.55/5.77 ( ( mem @ V0g @ ( arr @ A_27d @ ( arr @ A_27e @ ( ty_2Eoption_2Eoption @ A_27c ) ) ) )
% 5.55/5.77 => ! [V1f: $i] :
% 5.55/5.77 ( ( mem @ V1f @ ( arr @ A_27a @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27d @ A_27e ) ) ) ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2EerrorStateMonad_2EMCOMP @ A_27a @ A_27b @ A_27c @ A_27d @ A_27e ) @ V0g ) @ V1f )
% 5.55/5.77 = ( ap @ ( c_2Epair_2ECURRY @ A_27a @ A_27b @ ( ty_2Eoption_2Eoption @ A_27c ) ) @ ( ap @ ( ap @ ( c_2Eoption_2EOPTION__MCOMP @ A_27c @ ( ty_2Epair_2Eprod @ A_27d @ A_27e ) @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( ap @ ( c_2Epair_2EUNCURRY @ A_27d @ A_27e @ ( ty_2Eoption_2Eoption @ A_27c ) ) @ V0g ) ) @ ( ap @ ( c_2Epair_2EUNCURRY @ A_27a @ A_27b @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27d @ A_27e ) ) ) @ V1f ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(ax_thm_2EerrorStateMonad_2EFOR__primitive__def,axiom,
% 5.55/5.77 ! [A_27state: del] :
% 5.55/5.77 ( ( c_2EerrorStateMonad_2EFOR @ A_27state )
% 5.55/5.77 = ( ap
% 5.55/5.77 @ ( ap @ ( c_2Erelation_2EWFREC @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27state @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) ) ) @ ( arr @ A_27state @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) )
% 5.55/5.77 @ ( ap @ ( c_2Emin_2E_40 @ ( arr @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27state @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) ) ) @ ( arr @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27state @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) ) ) @ bool ) ) )
% 5.55/5.77 @ ( lam @ ( arr @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27state @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) ) ) @ ( arr @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27state @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) ) ) @ bool ) )
% 5.55/5.77 @ ^ [V0R: $i] :
% 5.55/5.77 ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( c_2Erelation_2EWF @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27state @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) ) ) ) @ V0R ) )
% 5.55/5.77 @ ( ap @ ( c_2Ebool_2E_21 @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27state @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) )
% 5.55/5.77 @ ( lam @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27state @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) )
% 5.55/5.77 @ ^ [V1a: $i] :
% 5.55/5.77 ( ap @ ( c_2Ebool_2E_21 @ ty_2Enum_2Enum )
% 5.55/5.77 @ ( lam @ ty_2Enum_2Enum
% 5.55/5.77 @ ^ [V2j: $i] :
% 5.55/5.77 ( ap @ ( c_2Ebool_2E_21 @ ty_2Enum_2Enum )
% 5.55/5.77 @ ( lam @ ty_2Enum_2Enum
% 5.55/5.77 @ ^ [V3i: $i] : ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ c_2Ebool_2E_7E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ V3i ) @ V2j ) ) ) @ ( ap @ ( ap @ V0R @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27state @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ V3i ) @ V2j ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ V3i ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ V3i ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27state @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) ) @ V2j ) @ V1a ) ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27state @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) ) ) @ V3i ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27state @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) ) @ V2j ) @ V1a ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.77 @ ( lam @ ( arr @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27state @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) ) ) @ ( arr @ A_27state @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) )
% 5.55/5.77 @ ^ [V4FOR: $i] :
% 5.55/5.77 ( lam @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27state @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) ) )
% 5.55/5.77 @ ^ [V5a_27: $i] :
% 5.55/5.77 ( ap @ ( ap @ ( c_2Epair_2Epair__CASE @ ( arr @ A_27state @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27state @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) ) ) @ V5a_27 )
% 5.55/5.77 @ ( lam @ ty_2Enum_2Enum
% 5.55/5.77 @ ^ [V6i: $i] :
% 5.55/5.77 ( lam @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27state @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) )
% 5.55/5.77 @ ^ [V7v1: $i] :
% 5.55/5.77 ( ap @ ( ap @ ( c_2Epair_2Epair__CASE @ ( arr @ A_27state @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27state @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) ) @ V7v1 )
% 5.55/5.77 @ ( lam @ ty_2Enum_2Enum
% 5.55/5.77 @ ^ [V8j: $i] :
% 5.55/5.77 ( lam @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27state @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) )
% 5.55/5.77 @ ^ [V9a: $i] :
% 5.55/5.77 ( ap @ ( c_2Ecombin_2EI @ ( arr @ A_27state @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) )
% 5.55/5.77 @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( arr @ A_27state @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ V6i ) @ V8j ) ) @ ( ap @ V9a @ V6i ) )
% 5.55/5.77 @ ( ap @ ( ap @ ( c_2EerrorStateMonad_2EBIND @ A_27state @ ty_2Eone_2Eone @ ty_2Eone_2Eone ) @ ( ap @ V9a @ V6i ) )
% 5.55/5.77 @ ( lam @ ty_2Eone_2Eone
% 5.55/5.77 @ ^ [V10u: $i] : ( ap @ V4FOR @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27state @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ V6i ) @ V8j ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ V6i ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ V6i ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27state @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) ) @ V8j ) @ V9a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2EerrorStateMonad_2EFOR__ind,axiom,
% 5.55/5.77 ! [A_27state: del,V0P: $i] :
% 5.55/5.77 ( ( mem @ V0P @ ( arr @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27state @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) ) ) @ bool ) )
% 5.55/5.77 => ( ! [V1i: tp__ty_2Enum_2Enum,V2j: tp__ty_2Enum_2Enum,V3a: $i] :
% 5.55/5.77 ( ( mem @ V3a @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27state @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) )
% 5.55/5.77 => ( ( ( V1i != V2j )
% 5.55/5.77 => ( p @ ( ap @ V0P @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27state @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1i ) ) @ ( inj__ty_2Enum_2Enum @ V2j ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1i ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V1i ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27state @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V2j ) ) @ V3a ) ) ) ) )
% 5.55/5.77 => ( p @ ( ap @ V0P @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27state @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1i ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27state @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V2j ) ) @ V3a ) ) ) ) ) )
% 5.55/5.77 => ! [V4v: tp__ty_2Enum_2Enum,V5v1: tp__ty_2Enum_2Enum,V6v2: $i] :
% 5.55/5.77 ( ( mem @ V6v2 @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27state @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) )
% 5.55/5.77 => ( p @ ( ap @ V0P @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27state @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V4v ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27state @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V5v1 ) ) @ V6v2 ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2EerrorStateMonad_2EFOR__def,axiom,
% 5.55/5.77 ! [A_27state: del,V0j: tp__ty_2Enum_2Enum,V1i: tp__ty_2Enum_2Enum,V2a: $i] :
% 5.55/5.77 ( ( mem @ V2a @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27state @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) )
% 5.55/5.77 => ( ( ap @ ( c_2EerrorStateMonad_2EFOR @ A_27state ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27state @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1i ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27state @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0j ) ) @ V2a ) ) )
% 5.55/5.77 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( arr @ A_27state @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V1i ) ) @ ( inj__ty_2Enum_2Enum @ V0j ) ) ) @ ( ap @ V2a @ ( inj__ty_2Enum_2Enum @ V1i ) ) )
% 5.55/5.77 @ ( ap @ ( ap @ ( c_2EerrorStateMonad_2EBIND @ A_27state @ ty_2Eone_2Eone @ ty_2Eone_2Eone ) @ ( ap @ V2a @ ( inj__ty_2Enum_2Enum @ V1i ) ) )
% 5.55/5.77 @ ( lam @ ty_2Eone_2Eone
% 5.55/5.77 @ ^ [V3u: $i] : ( ap @ ( c_2EerrorStateMonad_2EFOR @ A_27state ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27state @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1i ) ) @ ( inj__ty_2Enum_2Enum @ V0j ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1i ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V1i ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27state @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0j ) ) @ V2a ) ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(ax_thm_2EerrorStateMonad_2EFOREACH__primitive__def,axiom,
% 5.55/5.77 ! [A_27a: del,A_27state: del] :
% 5.55/5.77 ( ( c_2EerrorStateMonad_2EFOREACH @ A_27a @ A_27state )
% 5.55/5.77 = ( ap
% 5.55/5.77 @ ( ap @ ( c_2Erelation_2EWFREC @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ A_27a @ ( arr @ A_27state @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) ) @ ( arr @ A_27state @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) )
% 5.55/5.77 @ ( ap @ ( c_2Emin_2E_40 @ ( arr @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ A_27a @ ( arr @ A_27state @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) ) @ ( arr @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ A_27a @ ( arr @ A_27state @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) ) @ bool ) ) )
% 5.55/5.77 @ ( lam @ ( arr @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ A_27a @ ( arr @ A_27state @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) ) @ ( arr @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ A_27a @ ( arr @ A_27state @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) ) @ bool ) )
% 5.55/5.77 @ ^ [V0R: $i] :
% 5.55/5.77 ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( c_2Erelation_2EWF @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ A_27a @ ( arr @ A_27state @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) ) ) @ V0R ) )
% 5.55/5.77 @ ( ap @ ( c_2Ebool_2E_21 @ A_27a )
% 5.55/5.77 @ ( lam @ A_27a
% 5.55/5.77 @ ^ [V1h: $i] :
% 5.55/5.77 ( ap @ ( c_2Ebool_2E_21 @ ( arr @ A_27a @ ( arr @ A_27state @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) )
% 5.55/5.77 @ ( lam @ ( arr @ A_27a @ ( arr @ A_27state @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) )
% 5.55/5.77 @ ^ [V2a: $i] :
% 5.55/5.77 ( ap @ ( c_2Ebool_2E_21 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 @ ( lam @ ( ty_2Elist_2Elist @ A_27a )
% 5.55/5.77 @ ^ [V3t: $i] : ( ap @ ( ap @ V0R @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ A_27a @ ( arr @ A_27state @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) ) @ V3t ) @ V2a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ A_27a @ ( arr @ A_27state @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1h ) @ V3t ) ) @ V2a ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.77 @ ( lam @ ( arr @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ A_27a @ ( arr @ A_27state @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) ) @ ( arr @ A_27state @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) )
% 5.55/5.77 @ ^ [V4FOREACH: $i] :
% 5.55/5.77 ( lam @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ A_27a @ ( arr @ A_27state @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) )
% 5.55/5.77 @ ^ [V5a_27: $i] :
% 5.55/5.77 ( ap @ ( ap @ ( c_2Epair_2Epair__CASE @ ( arr @ A_27state @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ A_27a @ ( arr @ A_27state @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) ) @ V5a_27 )
% 5.55/5.77 @ ( lam @ ( ty_2Elist_2Elist @ A_27a )
% 5.55/5.77 @ ^ [V6v: $i] :
% 5.55/5.77 ( lam @ ( arr @ A_27a @ ( arr @ A_27state @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) )
% 5.55/5.77 @ ^ [V7a: $i] :
% 5.55/5.77 ( ap @ ( ap @ ( ap @ ( c_2Elist_2Elist__CASE @ A_27a @ ( arr @ A_27state @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) @ V6v ) @ ( ap @ ( c_2Ecombin_2EI @ ( arr @ A_27state @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) @ ( ap @ ( c_2EerrorStateMonad_2EUNIT @ A_27state @ ty_2Eone_2Eone ) @ ( inj__ty_2Eone_2Eone @ fo__c_2Eone_2Eone ) ) ) )
% 5.55/5.77 @ ( lam @ A_27a
% 5.55/5.77 @ ^ [V8h: $i] :
% 5.55/5.77 ( lam @ ( ty_2Elist_2Elist @ A_27a )
% 5.55/5.77 @ ^ [V9t: $i] :
% 5.55/5.77 ( ap @ ( c_2Ecombin_2EI @ ( arr @ A_27state @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) )
% 5.55/5.77 @ ( ap @ ( ap @ ( c_2EerrorStateMonad_2EBIND @ A_27state @ ty_2Eone_2Eone @ ty_2Eone_2Eone ) @ ( ap @ V7a @ V8h ) )
% 5.55/5.77 @ ( lam @ ty_2Eone_2Eone
% 5.55/5.77 @ ^ [V10u: $i] : ( ap @ V4FOREACH @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ A_27a @ ( arr @ A_27state @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) ) @ V9t ) @ V7a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2EerrorStateMonad_2EFOREACH__ind,axiom,
% 5.55/5.77 ! [A_27a: del,A_27state: del,V0P: $i] :
% 5.55/5.77 ( ( mem @ V0P @ ( arr @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ A_27a @ ( arr @ A_27state @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) ) @ bool ) )
% 5.55/5.77 => ( ( ! [V1a: $i] :
% 5.55/5.77 ( ( mem @ V1a @ ( arr @ A_27a @ ( arr @ A_27state @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) )
% 5.55/5.77 => ( p @ ( ap @ V0P @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ A_27a @ ( arr @ A_27state @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) @ V1a ) ) ) )
% 5.55/5.77 & ! [V2h: $i] :
% 5.55/5.77 ( ( mem @ V2h @ A_27a )
% 5.55/5.77 => ! [V3t: $i] :
% 5.55/5.77 ( ( mem @ V3t @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ! [V4a: $i] :
% 5.55/5.77 ( ( mem @ V4a @ ( arr @ A_27a @ ( arr @ A_27state @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) )
% 5.55/5.77 => ( ( p @ ( ap @ V0P @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ A_27a @ ( arr @ A_27state @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) ) @ V3t ) @ V4a ) ) )
% 5.55/5.77 => ( p @ ( ap @ V0P @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ A_27a @ ( arr @ A_27state @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2h ) @ V3t ) ) @ V4a ) ) ) ) ) ) ) )
% 5.55/5.77 => ! [V5v: $i] :
% 5.55/5.77 ( ( mem @ V5v @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ! [V6v1: $i] :
% 5.55/5.77 ( ( mem @ V6v1 @ ( arr @ A_27a @ ( arr @ A_27state @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) )
% 5.55/5.77 => ( p @ ( ap @ V0P @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ A_27a @ ( arr @ A_27state @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) ) @ V5v ) @ V6v1 ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2EerrorStateMonad_2EFOREACH__def,axiom,
% 5.55/5.77 ! [A_27a: del,A_27state: del] :
% 5.55/5.77 ( ! [V0a: $i] :
% 5.55/5.77 ( ( mem @ V0a @ ( arr @ A_27a @ ( arr @ A_27state @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) )
% 5.55/5.77 => ( ( ap @ ( c_2EerrorStateMonad_2EFOREACH @ A_27a @ A_27state ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ A_27a @ ( arr @ A_27state @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) @ V0a ) )
% 5.55/5.77 = ( ap @ ( c_2EerrorStateMonad_2EUNIT @ A_27state @ ty_2Eone_2Eone ) @ ( inj__ty_2Eone_2Eone @ fo__c_2Eone_2Eone ) ) ) )
% 5.55/5.77 & ! [V1t: $i] :
% 5.55/5.77 ( ( mem @ V1t @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.77 => ! [V2h: $i] :
% 5.55/5.77 ( ( mem @ V2h @ A_27a )
% 5.55/5.77 => ! [V3a: $i] :
% 5.55/5.77 ( ( mem @ V3a @ ( arr @ A_27a @ ( arr @ A_27state @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) )
% 5.55/5.77 => ( ( ap @ ( c_2EerrorStateMonad_2EFOREACH @ A_27a @ A_27state ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ A_27a @ ( arr @ A_27state @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2h ) @ V1t ) ) @ V3a ) )
% 5.55/5.77 = ( ap @ ( ap @ ( c_2EerrorStateMonad_2EBIND @ A_27state @ ty_2Eone_2Eone @ ty_2Eone_2Eone ) @ ( ap @ V3a @ V2h ) )
% 5.55/5.77 @ ( lam @ ty_2Eone_2Eone
% 5.55/5.77 @ ^ [V4u: $i] : ( ap @ ( c_2EerrorStateMonad_2EFOREACH @ A_27a @ A_27state ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ A_27a @ ( arr @ A_27state @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) ) ) ) @ V1t ) @ V3a ) ) ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(ax_thm_2EerrorStateMonad_2EREAD__def,axiom,
% 5.55/5.77 ! [A_27a: del,A_27state: del,V0f: $i] :
% 5.55/5.77 ( ( mem @ V0f @ ( arr @ A_27state @ A_27a ) )
% 5.55/5.77 => ( ( ap @ ( c_2EerrorStateMonad_2EREAD @ A_27a @ A_27state ) @ V0f )
% 5.55/5.77 = ( lam @ A_27state
% 5.55/5.77 @ ^ [V1s: $i] : ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Epair_2Eprod @ A_27a @ A_27state ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27state ) @ ( ap @ V0f @ V1s ) ) @ V1s ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(ax_thm_2EerrorStateMonad_2EWRITE__def,axiom,
% 5.55/5.77 ! [A_27state: del,V0f: $i] :
% 5.55/5.77 ( ( mem @ V0f @ ( arr @ A_27state @ A_27state ) )
% 5.55/5.77 => ( ( ap @ ( c_2EerrorStateMonad_2EWRITE @ A_27state ) @ V0f )
% 5.55/5.77 = ( lam @ A_27state
% 5.55/5.77 @ ^ [V1s: $i] : ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27state ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Eone_2Eone @ A_27state ) @ ( inj__ty_2Eone_2Eone @ fo__c_2Eone_2Eone ) ) @ ( ap @ V0f @ V1s ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(ax_thm_2EerrorStateMonad_2ENARROW__def,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,A_27state: del,V0v: $i] :
% 5.55/5.77 ( ( mem @ V0v @ A_27b )
% 5.55/5.77 => ! [V1f: $i] :
% 5.55/5.77 ( ( mem @ V1f @ ( arr @ ( ty_2Epair_2Eprod @ A_27b @ A_27state ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27state ) ) ) ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2EerrorStateMonad_2ENARROW @ A_27a @ A_27b @ A_27state ) @ V0v ) @ V1f )
% 5.55/5.77 = ( lam @ A_27state
% 5.55/5.77 @ ^ [V2s: $i] :
% 5.55/5.77 ( ap @ ( ap @ ( ap @ ( c_2Eoption_2Eoption__CASE @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27state ) ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27a @ A_27state ) ) ) @ ( ap @ V1f @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27b @ A_27state ) @ V0v ) @ V2s ) ) ) @ ( c_2Eoption_2ENONE @ ( ty_2Epair_2Eprod @ A_27a @ A_27state ) ) )
% 5.55/5.77 @ ( lam @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27state ) )
% 5.55/5.77 @ ^ [V3v: $i] :
% 5.55/5.77 ( ap @ ( ap @ ( c_2Epair_2Epair__CASE @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27a @ A_27state ) ) @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27state ) ) @ V3v )
% 5.55/5.77 @ ( lam @ A_27a
% 5.55/5.77 @ ^ [V4r: $i] :
% 5.55/5.77 ( lam @ ( ty_2Epair_2Eprod @ A_27b @ A_27state )
% 5.55/5.77 @ ^ [V5s1: $i] : ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Epair_2Eprod @ A_27a @ A_27state ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27state ) @ V4r ) @ ( ap @ ( c_2Epair_2ESND @ A_27b @ A_27state ) @ V5s1 ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(ax_thm_2EerrorStateMonad_2EWIDEN__def,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,A_27state: del,V0f: $i] :
% 5.55/5.77 ( ( mem @ V0f @ ( arr @ A_27state @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27a @ A_27state ) ) ) )
% 5.55/5.77 => ( ( ap @ ( c_2EerrorStateMonad_2EWIDEN @ A_27a @ A_27b @ A_27state ) @ V0f )
% 5.55/5.77 = ( ap @ ( c_2Epair_2EUNCURRY @ A_27b @ A_27state @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27state ) ) ) )
% 5.55/5.77 @ ( lam @ A_27b
% 5.55/5.77 @ ^ [V1s1: $i] :
% 5.55/5.77 ( lam @ A_27state
% 5.55/5.77 @ ^ [V2s2: $i] :
% 5.55/5.77 ( ap @ ( ap @ ( ap @ ( c_2Eoption_2Eoption__CASE @ ( ty_2Epair_2Eprod @ A_27a @ A_27state ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27state ) ) ) ) @ ( ap @ V0f @ V2s2 ) ) @ ( c_2Eoption_2ENONE @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27state ) ) ) )
% 5.55/5.77 @ ( lam @ ( ty_2Epair_2Eprod @ A_27a @ A_27state )
% 5.55/5.77 @ ^ [V3v: $i] :
% 5.55/5.77 ( ap @ ( ap @ ( c_2Epair_2Epair__CASE @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27state ) ) ) @ A_27a @ A_27state ) @ V3v )
% 5.55/5.77 @ ( lam @ A_27a
% 5.55/5.77 @ ^ [V4r: $i] :
% 5.55/5.77 ( lam @ A_27state
% 5.55/5.77 @ ^ [V5s3: $i] : ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27state ) ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27state ) ) @ V4r ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27b @ A_27state ) @ V1s1 ) @ V5s3 ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(ax_thm_2EerrorStateMonad_2Esequence__def,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del] :
% 5.55/5.77 ( ( c_2EerrorStateMonad_2Esequence @ A_27a @ A_27b )
% 5.55/5.77 = ( ap
% 5.55/5.77 @ ( ap @ ( c_2Elist_2EFOLDR @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27b ) @ A_27a ) ) ) )
% 5.55/5.77 @ ( lam @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) )
% 5.55/5.77 @ ^ [V0m: $i] :
% 5.55/5.77 ( lam @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27b ) @ A_27a ) ) )
% 5.55/5.77 @ ^ [V1ms: $i] :
% 5.55/5.77 ( ap @ ( ap @ ( c_2EerrorStateMonad_2EBIND @ A_27a @ A_27b @ ( ty_2Elist_2Elist @ A_27b ) ) @ V0m )
% 5.55/5.77 @ ( lam @ A_27b
% 5.55/5.77 @ ^ [V2x: $i] :
% 5.55/5.77 ( ap @ ( ap @ ( c_2EerrorStateMonad_2EBIND @ A_27a @ ( ty_2Elist_2Elist @ A_27b ) @ ( ty_2Elist_2Elist @ A_27b ) ) @ V1ms )
% 5.55/5.77 @ ( lam @ ( ty_2Elist_2Elist @ A_27b )
% 5.55/5.77 @ ^ [V3xs: $i] : ( ap @ ( c_2EerrorStateMonad_2EUNIT @ A_27a @ ( ty_2Elist_2Elist @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27b ) @ V2x ) @ V3xs ) ) ) ) ) ) ) ) )
% 5.55/5.77 @ ( ap @ ( c_2EerrorStateMonad_2EUNIT @ A_27a @ ( ty_2Elist_2Elist @ A_27b ) ) @ ( c_2Elist_2ENIL @ A_27b ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(ax_thm_2EerrorStateMonad_2EmapM__def,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.55/5.77 ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27c @ A_27b ) ) ) ) )
% 5.55/5.77 => ( ( ap @ ( c_2EerrorStateMonad_2EmapM @ A_27a @ A_27b @ A_27c ) @ V0f )
% 5.55/5.77 = ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27c ) @ A_27b ) ) ) @ ( ty_2Elist_2Elist @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27c @ A_27b ) ) ) ) ) @ ( c_2EerrorStateMonad_2Esequence @ A_27b @ A_27c ) ) @ ( ap @ ( c_2Elist_2EMAP @ A_27a @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27c @ A_27b ) ) ) ) @ V0f ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2EerrorStateMonad_2EBIND__LEFT__UNIT,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,A_27c: del,V0k: $i] :
% 5.55/5.77 ( ( mem @ V0k @ ( arr @ A_27a @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27c @ A_27b ) ) ) ) )
% 5.55/5.77 => ! [V1x: $i] :
% 5.55/5.77 ( ( mem @ V1x @ A_27a )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2EerrorStateMonad_2EBIND @ A_27b @ A_27a @ A_27c ) @ ( ap @ ( c_2EerrorStateMonad_2EUNIT @ A_27b @ A_27a ) @ V1x ) ) @ V0k )
% 5.55/5.77 = ( ap @ V0k @ V1x ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2EerrorStateMonad_2EMCOMP__THM,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0g: $i] :
% 5.55/5.77 ( ( mem @ V0g @ ( arr @ A_27d @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27c @ A_27b ) ) ) ) )
% 5.55/5.77 => ! [V1f: $i] :
% 5.55/5.77 ( ( mem @ V1f @ ( arr @ A_27a @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27d @ A_27b ) ) ) ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2EerrorStateMonad_2EMCOMP @ A_27a @ A_27b @ ( ty_2Epair_2Eprod @ A_27c @ A_27b ) @ A_27d @ A_27b ) @ V0g ) @ V1f )
% 5.55/5.77 = ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27a @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27c @ A_27b ) ) ) @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27d @ A_27b ) ) ) ) @ ( ap @ ( c_2EerrorStateMonad_2EEXT @ A_27b @ A_27c @ A_27d ) @ V0g ) ) @ V1f ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2EerrorStateMonad_2EMCOMP__ASSOC,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,A_27e: del,A_27f: del,A_27g: del,V0f: $i] :
% 5.55/5.77 ( ( mem @ V0f @ ( arr @ A_27d @ ( arr @ A_27e @ ( ty_2Eoption_2Eoption @ A_27c ) ) ) )
% 5.55/5.77 => ! [V1g: $i] :
% 5.55/5.77 ( ( mem @ V1g @ ( arr @ A_27f @ ( arr @ A_27g @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27d @ A_27e ) ) ) ) )
% 5.55/5.77 => ! [V2h: $i] :
% 5.55/5.77 ( ( mem @ V2h @ ( arr @ A_27a @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27f @ A_27g ) ) ) ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2EerrorStateMonad_2EMCOMP @ A_27a @ A_27b @ A_27c @ A_27d @ A_27e ) @ V0f ) @ ( ap @ ( ap @ ( c_2EerrorStateMonad_2EMCOMP @ A_27a @ A_27b @ ( ty_2Epair_2Eprod @ A_27d @ A_27e ) @ A_27f @ A_27g ) @ V1g ) @ V2h ) )
% 5.55/5.77 = ( ap @ ( ap @ ( c_2EerrorStateMonad_2EMCOMP @ A_27a @ A_27b @ A_27c @ A_27f @ A_27g ) @ ( ap @ ( ap @ ( c_2EerrorStateMonad_2EMCOMP @ A_27f @ A_27g @ A_27c @ A_27d @ A_27e ) @ V0f ) @ V1g ) ) @ V2h ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2EerrorStateMonad_2EUNIT__CURRY,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del] :
% 5.55/5.77 ( ( c_2EerrorStateMonad_2EUNIT @ A_27b @ A_27a )
% 5.55/5.77 = ( ap @ ( c_2Epair_2ECURRY @ A_27a @ A_27b @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) ) @ ( c_2Eoption_2ESOME @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2EerrorStateMonad_2EMCOMP__ID,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,A_27e: del,A_27f: del,A_27g: del,V0g: $i] :
% 5.55/5.77 ( ( mem @ V0g @ ( arr @ A_27a @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27c ) ) ) )
% 5.55/5.77 => ! [V1f: $i] :
% 5.55/5.77 ( ( mem @ V1f @ ( arr @ A_27d @ ( arr @ A_27e @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27f @ A_27g ) ) ) ) )
% 5.55/5.77 => ( ( ( ap @ ( ap @ ( c_2EerrorStateMonad_2EMCOMP @ A_27a @ A_27b @ A_27c @ A_27a @ A_27b ) @ V0g ) @ ( c_2EerrorStateMonad_2EUNIT @ A_27b @ A_27a ) )
% 5.55/5.77 = V0g )
% 5.55/5.77 & ( ( ap @ ( ap @ ( c_2EerrorStateMonad_2EMCOMP @ A_27d @ A_27e @ ( ty_2Epair_2Eprod @ A_27f @ A_27g ) @ A_27f @ A_27g ) @ ( c_2EerrorStateMonad_2EUNIT @ A_27g @ A_27f ) ) @ V1f )
% 5.55/5.77 = V1f ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2EerrorStateMonad_2EBIND__RIGHT__UNIT,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,V0k: $i] :
% 5.55/5.77 ( ( mem @ V0k @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2EerrorStateMonad_2EBIND @ A_27a @ A_27b @ A_27b ) @ V0k ) @ ( c_2EerrorStateMonad_2EUNIT @ A_27a @ A_27b ) )
% 5.55/5.77 = V0k ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2EerrorStateMonad_2EBIND__ASSOC,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0k: $i] :
% 5.55/5.77 ( ( mem @ V0k @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) )
% 5.55/5.77 => ! [V1m: $i] :
% 5.55/5.77 ( ( mem @ V1m @ ( arr @ A_27b @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27c @ A_27a ) ) ) ) )
% 5.55/5.77 => ! [V2n: $i] :
% 5.55/5.77 ( ( mem @ V2n @ ( arr @ A_27c @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27d @ A_27a ) ) ) ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2EerrorStateMonad_2EBIND @ A_27a @ A_27b @ A_27d ) @ V0k )
% 5.55/5.77 @ ( lam @ A_27b
% 5.55/5.77 @ ^ [V3a: $i] : ( ap @ ( ap @ ( c_2EerrorStateMonad_2EBIND @ A_27a @ A_27c @ A_27d ) @ ( ap @ V1m @ V3a ) ) @ V2n ) ) )
% 5.55/5.77 = ( ap @ ( ap @ ( c_2EerrorStateMonad_2EBIND @ A_27a @ A_27c @ A_27d ) @ ( ap @ ( ap @ ( c_2EerrorStateMonad_2EBIND @ A_27a @ A_27b @ A_27c ) @ V0k ) @ V1m ) ) @ V2n ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2EerrorStateMonad_2EMMAP__ID,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del] :
% 5.55/5.77 ( ( ap @ ( c_2EerrorStateMonad_2EMMAP @ A_27a @ A_27b @ A_27b ) @ ( c_2Ecombin_2EI @ A_27b ) )
% 5.55/5.77 = ( c_2Ecombin_2EI @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2EerrorStateMonad_2EMMAP__COMP,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0f: $i] :
% 5.55/5.77 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.55/5.77 => ! [V1g: $i] :
% 5.55/5.77 ( ( mem @ V1g @ ( arr @ A_27c @ A_27a ) )
% 5.55/5.77 => ( ( ap @ ( c_2EerrorStateMonad_2EMMAP @ A_27d @ A_27b @ A_27c ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27c @ A_27b @ A_27a ) @ V0f ) @ V1g ) )
% 5.55/5.77 = ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( arr @ A_27d @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27c @ A_27d ) ) ) @ ( arr @ A_27d @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27b @ A_27d ) ) ) @ ( arr @ A_27d @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27a @ A_27d ) ) ) ) @ ( ap @ ( c_2EerrorStateMonad_2EMMAP @ A_27d @ A_27b @ A_27a ) @ V0f ) ) @ ( ap @ ( c_2EerrorStateMonad_2EMMAP @ A_27d @ A_27a @ A_27c ) @ V1g ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2EerrorStateMonad_2EMMAP__UNIT,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.55/5.77 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27a @ ( arr @ A_27c @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27b @ A_27c ) ) ) @ ( arr @ A_27c @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27a @ A_27c ) ) ) ) @ ( ap @ ( c_2EerrorStateMonad_2EMMAP @ A_27c @ A_27b @ A_27a ) @ V0f ) ) @ ( c_2EerrorStateMonad_2EUNIT @ A_27c @ A_27a ) )
% 5.55/5.77 = ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27a @ ( arr @ A_27c @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27b @ A_27c ) ) ) @ A_27b ) @ ( c_2EerrorStateMonad_2EUNIT @ A_27c @ A_27b ) ) @ V0f ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2EerrorStateMonad_2EMMAP__JOIN,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.55/5.77 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( arr @ A_27c @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ( arr @ A_27c @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27a @ A_27c ) ) ) @ A_27c ) ) ) @ ( arr @ A_27c @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27b @ A_27c ) ) ) @ ( arr @ A_27c @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27a @ A_27c ) ) ) ) @ ( ap @ ( c_2EerrorStateMonad_2EMMAP @ A_27c @ A_27b @ A_27a ) @ V0f ) ) @ ( c_2EerrorStateMonad_2EJOIN @ A_27c @ A_27a ) )
% 5.55/5.77 = ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( arr @ A_27c @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ( arr @ A_27c @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27a @ A_27c ) ) ) @ A_27c ) ) ) @ ( arr @ A_27c @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27b @ A_27c ) ) ) @ ( arr @ A_27c @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ( arr @ A_27c @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27b @ A_27c ) ) ) @ A_27c ) ) ) ) @ ( c_2EerrorStateMonad_2EJOIN @ A_27c @ A_27b ) ) @ ( ap @ ( c_2EerrorStateMonad_2EMMAP @ A_27c @ ( arr @ A_27c @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27b @ A_27c ) ) ) @ ( arr @ A_27c @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27a @ A_27c ) ) ) ) @ ( ap @ ( c_2EerrorStateMonad_2EMMAP @ A_27c @ A_27b @ A_27a ) @ V0f ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2EerrorStateMonad_2EJOIN__UNIT,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del] :
% 5.55/5.77 ( ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) @ A_27a ) ) ) ) @ ( c_2EerrorStateMonad_2EJOIN @ A_27a @ A_27b ) ) @ ( c_2EerrorStateMonad_2EUNIT @ A_27a @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) ) )
% 5.55/5.77 = ( c_2Ecombin_2EI @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2EerrorStateMonad_2EJOIN__MMAP__UNIT,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del] :
% 5.55/5.77 ( ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) @ A_27a ) ) ) ) @ ( c_2EerrorStateMonad_2EJOIN @ A_27a @ A_27b ) ) @ ( ap @ ( c_2EerrorStateMonad_2EMMAP @ A_27a @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) @ A_27b ) @ ( c_2EerrorStateMonad_2EUNIT @ A_27a @ A_27b ) ) )
% 5.55/5.77 = ( c_2Ecombin_2EI @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2EerrorStateMonad_2EJOIN__MAP__JOIN,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del] :
% 5.55/5.77 ( ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) @ A_27a ) ) ) @ A_27a ) ) ) @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) @ A_27a ) ) ) ) @ ( c_2EerrorStateMonad_2EJOIN @ A_27a @ A_27b ) ) @ ( ap @ ( c_2EerrorStateMonad_2EMMAP @ A_27a @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) @ A_27a ) ) ) ) @ ( c_2EerrorStateMonad_2EJOIN @ A_27a @ A_27b ) ) )
% 5.55/5.77 = ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) @ A_27a ) ) ) @ A_27a ) ) ) @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) @ A_27a ) ) ) ) @ ( c_2EerrorStateMonad_2EJOIN @ A_27a @ A_27b ) ) @ ( c_2EerrorStateMonad_2EJOIN @ A_27a @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2EerrorStateMonad_2EJOIN__MAP,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,A_27c: del,V0k: $i] :
% 5.55/5.77 ( ( mem @ V0k @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) )
% 5.55/5.77 => ! [V1m: $i] :
% 5.55/5.77 ( ( mem @ V1m @ ( arr @ A_27b @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27c @ A_27a ) ) ) ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2EerrorStateMonad_2EBIND @ A_27a @ A_27b @ A_27c ) @ V0k ) @ V1m )
% 5.55/5.77 = ( ap @ ( c_2EerrorStateMonad_2EJOIN @ A_27a @ A_27c ) @ ( ap @ ( ap @ ( c_2EerrorStateMonad_2EMMAP @ A_27a @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27c @ A_27a ) ) ) @ A_27b ) @ V1m ) @ V0k ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2EerrorStateMonad_2Esequence__nil,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del] :
% 5.55/5.77 ( ( ap @ ( c_2EerrorStateMonad_2Esequence @ A_27a @ A_27b ) @ ( c_2Elist_2ENIL @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) ) )
% 5.55/5.77 = ( ap @ ( c_2EerrorStateMonad_2EUNIT @ A_27a @ ( ty_2Elist_2Elist @ A_27b ) ) @ ( c_2Elist_2ENIL @ A_27b ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2EerrorStateMonad_2EmapM__nil,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.55/5.77 ( ( mem @ V0f @ ( arr @ A_27c @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2EerrorStateMonad_2EmapM @ A_27c @ A_27a @ A_27b ) @ V0f ) @ ( c_2Elist_2ENIL @ A_27c ) )
% 5.55/5.77 = ( ap @ ( c_2EerrorStateMonad_2EUNIT @ A_27a @ ( ty_2Elist_2Elist @ A_27b ) ) @ ( c_2Elist_2ENIL @ A_27b ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2EerrorStateMonad_2EmapM__cons,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.55/5.77 ( ( mem @ V0f @ ( arr @ A_27c @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) ) )
% 5.55/5.77 => ! [V1x: $i] :
% 5.55/5.77 ( ( mem @ V1x @ A_27c )
% 5.55/5.77 => ! [V2xs: $i] :
% 5.55/5.77 ( ( mem @ V2xs @ ( ty_2Elist_2Elist @ A_27c ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2EerrorStateMonad_2EmapM @ A_27c @ A_27a @ A_27b ) @ V0f ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27c ) @ V1x ) @ V2xs ) )
% 5.55/5.77 = ( ap @ ( ap @ ( c_2EerrorStateMonad_2EBIND @ A_27a @ A_27b @ ( ty_2Elist_2Elist @ A_27b ) ) @ ( ap @ V0f @ V1x ) )
% 5.55/5.77 @ ( lam @ A_27b
% 5.55/5.77 @ ^ [V3y: $i] :
% 5.55/5.77 ( ap @ ( ap @ ( c_2EerrorStateMonad_2EBIND @ A_27a @ ( ty_2Elist_2Elist @ A_27b ) @ ( ty_2Elist_2Elist @ A_27b ) ) @ ( ap @ ( ap @ ( c_2EerrorStateMonad_2EmapM @ A_27c @ A_27a @ A_27b ) @ V0f ) @ V2xs ) )
% 5.55/5.77 @ ( lam @ ( ty_2Elist_2Elist @ A_27b )
% 5.55/5.77 @ ^ [V4ys: $i] : ( ap @ ( c_2EerrorStateMonad_2EUNIT @ A_27a @ ( ty_2Elist_2Elist @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27b ) @ V3y ) @ V4ys ) ) ) ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(ax_thm_2EerrorStateMonad_2EES__FAIL__DEF,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.55/5.77 ( ( mem @ V0s @ A_27b )
% 5.55/5.77 => ( ( ap @ ( c_2EerrorStateMonad_2EES__FAIL @ A_27a @ A_27b ) @ V0s )
% 5.55/5.77 = ( c_2Eoption_2ENONE @ A_27a ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(ax_thm_2EerrorStateMonad_2EES__CHOICE__DEF,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,V0xM: $i] :
% 5.55/5.77 ( ( mem @ V0xM @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27a ) ) )
% 5.55/5.77 => ! [V1yM: $i] :
% 5.55/5.77 ( ( mem @ V1yM @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27a ) ) )
% 5.55/5.77 => ! [V2s: $i] :
% 5.55/5.77 ( ( mem @ V2s @ A_27b )
% 5.55/5.77 => ( ( ap @ ( ap @ ( ap @ ( c_2EerrorStateMonad_2EES__CHOICE @ A_27a @ A_27b ) @ V0xM ) @ V1yM ) @ V2s )
% 5.55/5.77 = ( ap @ ( ap @ ( ap @ ( c_2Eoption_2Eoption__CASE @ A_27a @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ ( ap @ V0xM @ V2s ) ) @ ( ap @ V1yM @ V2s ) )
% 5.55/5.77 @ ( lam @ A_27a
% 5.55/5.77 @ ^ [V3v1: $i] : ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V3v1 ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(ax_thm_2EerrorStateMonad_2EES__GUARD__DEF,axiom,
% 5.55/5.77 ! [A_27a: del,V0b: $i] :
% 5.55/5.77 ( ( mem @ V0b @ bool )
% 5.55/5.77 => ( ( ap @ ( c_2EerrorStateMonad_2EES__GUARD @ A_27a ) @ V0b )
% 5.55/5.77 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27a ) ) ) ) @ V0b ) @ ( ap @ ( c_2EerrorStateMonad_2EUNIT @ A_27a @ ty_2Eone_2Eone ) @ ( inj__ty_2Eone_2Eone @ fo__c_2Eone_2Eone ) ) ) @ ( c_2EerrorStateMonad_2EES__FAIL @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ A_27a ) @ A_27a ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2EerrorStateMonad_2EES__CHOICE__ASSOC,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,V0xM: $i] :
% 5.55/5.77 ( ( mem @ V0xM @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) )
% 5.55/5.77 => ! [V1yM: $i] :
% 5.55/5.77 ( ( mem @ V1yM @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) )
% 5.55/5.77 => ! [V2zM: $i] :
% 5.55/5.77 ( ( mem @ V2zM @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2EerrorStateMonad_2EES__CHOICE @ A_27b @ A_27a ) @ V0xM ) @ ( ap @ ( ap @ ( c_2EerrorStateMonad_2EES__CHOICE @ A_27b @ A_27a ) @ V1yM ) @ V2zM ) )
% 5.55/5.77 = ( ap @ ( ap @ ( c_2EerrorStateMonad_2EES__CHOICE @ A_27b @ A_27a ) @ ( ap @ ( ap @ ( c_2EerrorStateMonad_2EES__CHOICE @ A_27b @ A_27a ) @ V0xM ) @ V1yM ) ) @ V2zM ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2EerrorStateMonad_2EES__CHOICE__FAIL__LID,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,V0xM: $i] :
% 5.55/5.77 ( ( mem @ V0xM @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2EerrorStateMonad_2EES__CHOICE @ A_27b @ A_27a ) @ ( c_2EerrorStateMonad_2EES__FAIL @ A_27b @ A_27a ) ) @ V0xM )
% 5.55/5.77 = V0xM ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2EerrorStateMonad_2EES__CHOICE__FAIL__RID,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,V0xM: $i] :
% 5.55/5.77 ( ( mem @ V0xM @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2EerrorStateMonad_2EES__CHOICE @ A_27b @ A_27a ) @ V0xM ) @ ( c_2EerrorStateMonad_2EES__FAIL @ A_27b @ A_27a ) )
% 5.55/5.77 = V0xM ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2EerrorStateMonad_2EBIND__FAIL__L,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,A_27c: del,V0fM: $i] :
% 5.55/5.77 ( ( mem @ V0fM @ ( arr @ A_27c @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2EerrorStateMonad_2EBIND @ A_27a @ A_27c @ A_27b ) @ ( c_2EerrorStateMonad_2EES__FAIL @ ( ty_2Epair_2Eprod @ A_27c @ A_27a ) @ A_27a ) ) @ V0fM )
% 5.55/5.77 = ( c_2EerrorStateMonad_2EES__FAIL @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) @ A_27a ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2EerrorStateMonad_2EBIND__ESGUARD,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,V0fM: $i] :
% 5.55/5.77 ( ( mem @ V0fM @ ( arr @ ty_2Eone_2Eone @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) ) )
% 5.55/5.77 => ( ( ( ap @ ( ap @ ( c_2EerrorStateMonad_2EBIND @ A_27a @ ty_2Eone_2Eone @ A_27b ) @ ( ap @ ( c_2EerrorStateMonad_2EES__GUARD @ A_27a ) @ c_2Ebool_2EF ) ) @ V0fM )
% 5.55/5.77 = ( c_2EerrorStateMonad_2EES__FAIL @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) @ A_27a ) )
% 5.55/5.77 & ( ( ap @ ( ap @ ( c_2EerrorStateMonad_2EBIND @ A_27a @ ty_2Eone_2Eone @ A_27b ) @ ( ap @ ( c_2EerrorStateMonad_2EES__GUARD @ A_27a ) @ c_2Ebool_2ET ) ) @ V0fM )
% 5.55/5.77 = ( ap @ V0fM @ ( inj__ty_2Eone_2Eone @ fo__c_2Eone_2Eone ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2EerrorStateMonad_2EIGNORE__BIND__ESGUARD,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,V0xM: $i] :
% 5.55/5.77 ( ( mem @ V0xM @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) )
% 5.55/5.77 => ( ( ( ap @ ( ap @ ( c_2EerrorStateMonad_2EIGNORE__BIND @ ty_2Eone_2Eone @ A_27a @ A_27b ) @ ( ap @ ( c_2EerrorStateMonad_2EES__GUARD @ A_27a ) @ c_2Ebool_2EF ) ) @ V0xM )
% 5.55/5.77 = ( c_2EerrorStateMonad_2EES__FAIL @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) @ A_27a ) )
% 5.55/5.77 & ( ( ap @ ( ap @ ( c_2EerrorStateMonad_2EIGNORE__BIND @ ty_2Eone_2Eone @ A_27a @ A_27b ) @ ( ap @ ( c_2EerrorStateMonad_2EES__GUARD @ A_27a ) @ c_2Ebool_2ET ) ) @ V0xM )
% 5.55/5.77 = V0xM ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2EerrorStateMonad_2EIGNORE__BIND__FAIL,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0xM: $i] :
% 5.55/5.77 ( ( mem @ V0xM @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) )
% 5.55/5.77 => ( ( ( ap @ ( ap @ ( c_2EerrorStateMonad_2EIGNORE__BIND @ A_27c @ A_27a @ A_27b ) @ ( c_2EerrorStateMonad_2EES__FAIL @ ( ty_2Epair_2Eprod @ A_27c @ A_27a ) @ A_27a ) ) @ V0xM )
% 5.55/5.77 = ( c_2EerrorStateMonad_2EES__FAIL @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) @ A_27a ) )
% 5.55/5.77 & ( ( ap @ ( ap @ ( c_2EerrorStateMonad_2EIGNORE__BIND @ A_27b @ A_27a @ A_27d ) @ V0xM ) @ ( c_2EerrorStateMonad_2EES__FAIL @ ( ty_2Epair_2Eprod @ A_27d @ A_27a ) @ A_27a ) )
% 5.55/5.77 = ( c_2EerrorStateMonad_2EES__FAIL @ ( ty_2Epair_2Eprod @ A_27d @ A_27a ) @ A_27a ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(ax_thm_2EerrorStateMonad_2EES__APPLY__DEF,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,A_27c: del,V0fM: $i] :
% 5.55/5.77 ( ( mem @ V0fM @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ( arr @ A_27c @ A_27b ) @ A_27a ) ) ) )
% 5.55/5.77 => ! [V1xM: $i] :
% 5.55/5.77 ( ( mem @ V1xM @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27c @ A_27a ) ) ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2EerrorStateMonad_2EES__APPLY @ A_27a @ A_27b @ A_27c ) @ V0fM ) @ V1xM )
% 5.55/5.77 = ( ap @ ( ap @ ( c_2EerrorStateMonad_2EBIND @ A_27a @ ( arr @ A_27c @ A_27b ) @ A_27b ) @ V0fM )
% 5.55/5.77 @ ( lam @ ( arr @ A_27c @ A_27b )
% 5.55/5.77 @ ^ [V2f: $i] :
% 5.55/5.77 ( ap @ ( ap @ ( c_2EerrorStateMonad_2EBIND @ A_27a @ A_27c @ A_27b ) @ V1xM )
% 5.55/5.77 @ ( lam @ A_27c
% 5.55/5.77 @ ^ [V3x: $i] : ( ap @ ( c_2EerrorStateMonad_2EUNIT @ A_27a @ A_27b ) @ ( ap @ V2f @ V3x ) ) ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2EerrorStateMonad_2EAPPLY__UNIT,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.55/5.77 ( ( mem @ V0f @ ( arr @ A_27c @ A_27b ) )
% 5.55/5.77 => ! [V1xM: $i] :
% 5.55/5.77 ( ( mem @ V1xM @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27c @ A_27a ) ) ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2EerrorStateMonad_2EES__APPLY @ A_27a @ A_27b @ A_27c ) @ ( ap @ ( c_2EerrorStateMonad_2EUNIT @ A_27a @ ( arr @ A_27c @ A_27b ) ) @ V0f ) ) @ V1xM )
% 5.55/5.77 = ( ap @ ( ap @ ( c_2EerrorStateMonad_2EMMAP @ A_27a @ A_27b @ A_27c ) @ V0f ) @ V1xM ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2EerrorStateMonad_2EAPPLY__UNIT__UNIT,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.55/5.77 ( ( mem @ V0f @ ( arr @ A_27c @ A_27b ) )
% 5.55/5.77 => ! [V1x: $i] :
% 5.55/5.77 ( ( mem @ V1x @ A_27c )
% 5.55/5.77 => ( ( ap @ ( ap @ ( c_2EerrorStateMonad_2EES__APPLY @ A_27a @ A_27b @ A_27c ) @ ( ap @ ( c_2EerrorStateMonad_2EUNIT @ A_27a @ ( arr @ A_27c @ A_27b ) ) @ V0f ) ) @ ( ap @ ( c_2EerrorStateMonad_2EUNIT @ A_27a @ A_27c ) @ V1x ) )
% 5.55/5.77 = ( ap @ ( c_2EerrorStateMonad_2EUNIT @ A_27a @ A_27b ) @ ( ap @ V0f @ V1x ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(ax_thm_2EerrorStateMonad_2EES__LIFT2__DEF,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0f: $i] :
% 5.55/5.77 ( ( mem @ V0f @ ( arr @ A_27c @ ( arr @ A_27d @ A_27b ) ) )
% 5.55/5.77 => ! [V1xM: $i] :
% 5.55/5.77 ( ( mem @ V1xM @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27c @ A_27a ) ) ) )
% 5.55/5.77 => ! [V2yM: $i] :
% 5.55/5.77 ( ( mem @ V2yM @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27d @ A_27a ) ) ) )
% 5.55/5.77 => ( ( ap @ ( ap @ ( ap @ ( c_2EerrorStateMonad_2EES__LIFT2 @ A_27a @ A_27b @ A_27c @ A_27d ) @ V0f ) @ V1xM ) @ V2yM )
% 5.55/5.77 = ( ap @ ( ap @ ( c_2EerrorStateMonad_2EES__APPLY @ A_27a @ A_27b @ A_27d ) @ ( ap @ ( ap @ ( c_2EerrorStateMonad_2EMMAP @ A_27a @ ( arr @ A_27d @ A_27b ) @ A_27c ) @ V0f ) @ V1xM ) ) @ V2yM ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 %------------------------------------------------------------------------------
% 5.55/5.77 %------------------------------------------------------------------------------
% 5.55/5.77 thf(tp_c_2EquantHeuristics_2EGUESS__EXISTS,type,
% 5.55/5.77 c_2EquantHeuristics_2EGUESS__EXISTS: del > del > $i ).
% 5.55/5.77
% 5.55/5.77 thf(mem_c_2EquantHeuristics_2EGUESS__EXISTS,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2EquantHeuristics_2EGUESS__EXISTS @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27b @ bool ) @ bool ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(tp_c_2EquantHeuristics_2EGUESS__EXISTS__GAP,type,
% 5.55/5.77 c_2EquantHeuristics_2EGUESS__EXISTS__GAP: del > del > $i ).
% 5.55/5.77
% 5.55/5.77 thf(mem_c_2EquantHeuristics_2EGUESS__EXISTS__GAP,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2EquantHeuristics_2EGUESS__EXISTS__GAP @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27b @ bool ) @ bool ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(tp_c_2EquantHeuristics_2EGUESS__EXISTS__POINT,type,
% 5.55/5.77 c_2EquantHeuristics_2EGUESS__EXISTS__POINT: del > del > $i ).
% 5.55/5.77
% 5.55/5.77 thf(mem_c_2EquantHeuristics_2EGUESS__EXISTS__POINT,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2EquantHeuristics_2EGUESS__EXISTS__POINT @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27b @ bool ) @ bool ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(tp_c_2EquantHeuristics_2EGUESS__FORALL,type,
% 5.55/5.77 c_2EquantHeuristics_2EGUESS__FORALL: del > del > $i ).
% 5.55/5.77
% 5.55/5.77 thf(mem_c_2EquantHeuristics_2EGUESS__FORALL,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2EquantHeuristics_2EGUESS__FORALL @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27b @ bool ) @ bool ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(tp_c_2EquantHeuristics_2EGUESS__FORALL__GAP,type,
% 5.55/5.77 c_2EquantHeuristics_2EGUESS__FORALL__GAP: del > del > $i ).
% 5.55/5.77
% 5.55/5.77 thf(mem_c_2EquantHeuristics_2EGUESS__FORALL__GAP,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2EquantHeuristics_2EGUESS__FORALL__GAP @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27b @ bool ) @ bool ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(tp_c_2EquantHeuristics_2EGUESS__FORALL__POINT,type,
% 5.55/5.77 c_2EquantHeuristics_2EGUESS__FORALL__POINT: del > del > $i ).
% 5.55/5.77
% 5.55/5.77 thf(mem_c_2EquantHeuristics_2EGUESS__FORALL__POINT,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27b @ bool ) @ bool ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(tp_c_2EquantHeuristics_2EIS__REMOVABLE__QUANT__FUN,type,
% 5.55/5.77 c_2EquantHeuristics_2EIS__REMOVABLE__QUANT__FUN: del > del > $i ).
% 5.55/5.77
% 5.55/5.77 thf(mem_c_2EquantHeuristics_2EIS__REMOVABLE__QUANT__FUN,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2EquantHeuristics_2EIS__REMOVABLE__QUANT__FUN @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ A_27b ) @ bool ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(tp_c_2EquantHeuristics_2ESIMPLE__GUESS__EXISTS,type,
% 5.55/5.77 c_2EquantHeuristics_2ESIMPLE__GUESS__EXISTS: del > $i ).
% 5.55/5.77
% 5.55/5.77 thf(mem_c_2EquantHeuristics_2ESIMPLE__GUESS__EXISTS,axiom,
% 5.55/5.77 ! [A_27a: del] : ( mem @ ( c_2EquantHeuristics_2ESIMPLE__GUESS__EXISTS @ A_27a ) @ ( arr @ A_27a @ ( arr @ A_27a @ ( arr @ bool @ bool ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(tp_c_2EquantHeuristics_2ESIMPLE__GUESS__FORALL,type,
% 5.55/5.77 c_2EquantHeuristics_2ESIMPLE__GUESS__FORALL: del > $i ).
% 5.55/5.77
% 5.55/5.77 thf(mem_c_2EquantHeuristics_2ESIMPLE__GUESS__FORALL,axiom,
% 5.55/5.77 ! [A_27a: del] : ( mem @ ( c_2EquantHeuristics_2ESIMPLE__GUESS__FORALL @ A_27a ) @ ( arr @ A_27a @ ( arr @ A_27a @ ( arr @ bool @ bool ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(ax_thm_2EquantHeuristics_2EGUESS__EXISTS__def,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,V0i: $i] :
% 5.55/5.77 ( ( mem @ V0i @ ( arr @ A_27a @ A_27b ) )
% 5.55/5.77 => ! [V1P: $i] :
% 5.55/5.77 ( ( mem @ V1P @ ( arr @ A_27b @ bool ) )
% 5.55/5.77 => ( ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS @ A_27a @ A_27b ) @ V0i ) @ V1P ) )
% 5.55/5.77 <=> ( ? [V2v: $i] :
% 5.55/5.77 ( ( mem @ V2v @ A_27b )
% 5.55/5.77 & ( p @ ( ap @ V1P @ V2v ) ) )
% 5.55/5.77 <=> ? [V3fv: $i] :
% 5.55/5.77 ( ( mem @ V3fv @ A_27a )
% 5.55/5.77 & ( p @ ( ap @ V1P @ ( ap @ V0i @ V3fv ) ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(ax_thm_2EquantHeuristics_2EGUESS__FORALL__def,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,V0i: $i] :
% 5.55/5.77 ( ( mem @ V0i @ ( arr @ A_27a @ A_27b ) )
% 5.55/5.77 => ! [V1P: $i] :
% 5.55/5.77 ( ( mem @ V1P @ ( arr @ A_27b @ bool ) )
% 5.55/5.77 => ( ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL @ A_27a @ A_27b ) @ V0i ) @ V1P ) )
% 5.55/5.77 <=> ( ! [V2v: $i] :
% 5.55/5.77 ( ( mem @ V2v @ A_27b )
% 5.55/5.77 => ( p @ ( ap @ V1P @ V2v ) ) )
% 5.55/5.77 <=> ! [V3fv: $i] :
% 5.55/5.77 ( ( mem @ V3fv @ A_27a )
% 5.55/5.77 => ( p @ ( ap @ V1P @ ( ap @ V0i @ V3fv ) ) ) ) ) ) ) ) ).
% 5.55/5.77
% 5.55/5.77 thf(conj_thm_2EquantHeuristics_2EGUESS__EXISTS__FORALL__REWRITES,axiom,
% 5.55/5.77 ! [A_27a: del,A_27b: del,V0i: $i] :
% 5.55/5.77 ( ( mem @ V0i @ ( arr @ A_27a @ A_27b ) )
% 5.55/5.77 => ! [V1P: $i] :
% 5.55/5.77 ( ( mem @ V1P @ ( arr @ A_27b @ bool ) )
% 5.55/5.77 => ( ( ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS @ A_27a @ A_27b ) @ V0i ) @ V1P ) )
% 5.55/5.78 <=> ! [V2v: $i] :
% 5.55/5.78 ( ( mem @ V2v @ A_27b )
% 5.55/5.78 => ( ( p @ ( ap @ V1P @ V2v ) )
% 5.55/5.78 => ? [V3fv: $i] :
% 5.55/5.78 ( ( mem @ V3fv @ A_27a )
% 5.55/5.78 & ( p @ ( ap @ V1P @ ( ap @ V0i @ V3fv ) ) ) ) ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL @ A_27a @ A_27b ) @ V0i ) @ V1P ) )
% 5.55/5.78 <=> ! [V4v: $i] :
% 5.55/5.78 ( ( mem @ V4v @ A_27b )
% 5.55/5.78 => ( ~ ( p @ ( ap @ V1P @ V4v ) )
% 5.55/5.78 => ? [V5fv: $i] :
% 5.55/5.78 ( ( mem @ V5fv @ A_27a )
% 5.55/5.78 & ~ ( p @ ( ap @ V1P @ ( ap @ V0i @ V5fv ) ) ) ) ) ) ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(ax_thm_2EquantHeuristics_2EGUESS__EXISTS__POINT__def,axiom,
% 5.55/5.78 ! [A_27a: del,A_27b: del,V0i: $i] :
% 5.55/5.78 ( ( mem @ V0i @ ( arr @ A_27a @ A_27b ) )
% 5.55/5.78 => ! [V1P: $i] :
% 5.55/5.78 ( ( mem @ V1P @ ( arr @ A_27b @ bool ) )
% 5.55/5.78 => ( ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__POINT @ A_27a @ A_27b ) @ V0i ) @ V1P ) )
% 5.55/5.78 <=> ! [V2fv: $i] :
% 5.55/5.78 ( ( mem @ V2fv @ A_27a )
% 5.55/5.78 => ( p @ ( ap @ V1P @ ( ap @ V0i @ V2fv ) ) ) ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(ax_thm_2EquantHeuristics_2EGUESS__FORALL__POINT__def,axiom,
% 5.55/5.78 ! [A_27a: del,A_27b: del,V0i: $i] :
% 5.55/5.78 ( ( mem @ V0i @ ( arr @ A_27a @ A_27b ) )
% 5.55/5.78 => ! [V1P: $i] :
% 5.55/5.78 ( ( mem @ V1P @ ( arr @ A_27b @ bool ) )
% 5.55/5.78 => ( ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ A_27a @ A_27b ) @ V0i ) @ V1P ) )
% 5.55/5.78 <=> ! [V2fv: $i] :
% 5.55/5.78 ( ( mem @ V2fv @ A_27a )
% 5.55/5.78 => ~ ( p @ ( ap @ V1P @ ( ap @ V0i @ V2fv ) ) ) ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2EGUESS__POINT__THM,axiom,
% 5.55/5.78 ! [A_27a: del,A_27b: del,V0i: $i] :
% 5.55/5.78 ( ( mem @ V0i @ ( arr @ A_27a @ A_27b ) )
% 5.55/5.78 => ! [V1P: $i] :
% 5.55/5.78 ( ( mem @ V1P @ ( arr @ A_27b @ bool ) )
% 5.55/5.78 => ( ( ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__POINT @ A_27a @ A_27b ) @ V0i ) @ V1P ) )
% 5.55/5.78 => ( ? [V2v: $i] :
% 5.55/5.78 ( ( mem @ V2v @ A_27b )
% 5.55/5.78 & ( p @ ( ap @ V1P @ V2v ) ) )
% 5.55/5.78 <=> $true ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ A_27a @ A_27b ) @ V0i ) @ V1P ) )
% 5.55/5.78 => ( ! [V3v: $i] :
% 5.55/5.78 ( ( mem @ V3v @ A_27b )
% 5.55/5.78 => ( p @ ( ap @ V1P @ V3v ) ) )
% 5.55/5.78 <=> $false ) ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(ax_thm_2EquantHeuristics_2EGUESS__EXISTS__GAP__def,axiom,
% 5.55/5.78 ! [A_27a: del,A_27b: del,V0i: $i] :
% 5.55/5.78 ( ( mem @ V0i @ ( arr @ A_27a @ A_27b ) )
% 5.55/5.78 => ! [V1P: $i] :
% 5.55/5.78 ( ( mem @ V1P @ ( arr @ A_27b @ bool ) )
% 5.55/5.78 => ( ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__GAP @ A_27a @ A_27b ) @ V0i ) @ V1P ) )
% 5.55/5.78 <=> ! [V2v: $i] :
% 5.55/5.78 ( ( mem @ V2v @ A_27b )
% 5.55/5.78 => ( ( p @ ( ap @ V1P @ V2v ) )
% 5.55/5.78 => ? [V3fv: $i] :
% 5.55/5.78 ( ( mem @ V3fv @ A_27a )
% 5.55/5.78 & ( V2v
% 5.55/5.78 = ( ap @ V0i @ V3fv ) ) ) ) ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(ax_thm_2EquantHeuristics_2EGUESS__FORALL__GAP__def,axiom,
% 5.55/5.78 ! [A_27a: del,A_27b: del,V0i: $i] :
% 5.55/5.78 ( ( mem @ V0i @ ( arr @ A_27a @ A_27b ) )
% 5.55/5.78 => ! [V1P: $i] :
% 5.55/5.78 ( ( mem @ V1P @ ( arr @ A_27b @ bool ) )
% 5.55/5.78 => ( ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__GAP @ A_27a @ A_27b ) @ V0i ) @ V1P ) )
% 5.55/5.78 <=> ! [V2v: $i] :
% 5.55/5.78 ( ( mem @ V2v @ A_27b )
% 5.55/5.78 => ( ~ ( p @ ( ap @ V1P @ V2v ) )
% 5.55/5.78 => ? [V3fv: $i] :
% 5.55/5.78 ( ( mem @ V3fv @ A_27a )
% 5.55/5.78 & ( V2v
% 5.55/5.78 = ( ap @ V0i @ V3fv ) ) ) ) ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2EGUESS__REWRITES,axiom,
% 5.55/5.78 ! [A_27a: del,A_27b: del,V0i: $i] :
% 5.55/5.78 ( ( mem @ V0i @ ( arr @ A_27a @ A_27b ) )
% 5.55/5.78 => ! [V1P: $i] :
% 5.55/5.78 ( ( mem @ V1P @ ( arr @ A_27b @ bool ) )
% 5.55/5.78 => ( ( ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS @ A_27a @ A_27b ) @ V0i ) @ V1P ) )
% 5.55/5.78 <=> ! [V2v: $i] :
% 5.55/5.78 ( ( mem @ V2v @ A_27b )
% 5.55/5.78 => ( ( p @ ( ap @ V1P @ V2v ) )
% 5.55/5.78 => ? [V3fv: $i] :
% 5.55/5.78 ( ( mem @ V3fv @ A_27a )
% 5.55/5.78 & ( p @ ( ap @ V1P @ ( ap @ V0i @ V3fv ) ) ) ) ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL @ A_27a @ A_27b ) @ V0i ) @ V1P ) )
% 5.55/5.78 <=> ! [V4v: $i] :
% 5.55/5.78 ( ( mem @ V4v @ A_27b )
% 5.55/5.78 => ( ~ ( p @ ( ap @ V1P @ V4v ) )
% 5.55/5.78 => ? [V5fv: $i] :
% 5.55/5.78 ( ( mem @ V5fv @ A_27a )
% 5.55/5.78 & ~ ( p @ ( ap @ V1P @ ( ap @ V0i @ V5fv ) ) ) ) ) ) )
% 5.55/5.78 & ! [V6i: $i] :
% 5.55/5.78 ( ( mem @ V6i @ ( arr @ A_27a @ A_27b ) )
% 5.55/5.78 => ! [V7P: $i] :
% 5.55/5.78 ( ( mem @ V7P @ ( arr @ A_27b @ bool ) )
% 5.55/5.78 => ( ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__POINT @ A_27a @ A_27b ) @ V6i ) @ V7P ) )
% 5.55/5.78 <=> ! [V8fv: $i] :
% 5.55/5.78 ( ( mem @ V8fv @ A_27a )
% 5.55/5.78 => ( p @ ( ap @ V7P @ ( ap @ V6i @ V8fv ) ) ) ) ) ) )
% 5.55/5.78 & ! [V9i: $i] :
% 5.55/5.78 ( ( mem @ V9i @ ( arr @ A_27a @ A_27b ) )
% 5.55/5.78 => ! [V10P: $i] :
% 5.55/5.78 ( ( mem @ V10P @ ( arr @ A_27b @ bool ) )
% 5.55/5.78 => ( ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ A_27a @ A_27b ) @ V9i ) @ V10P ) )
% 5.55/5.78 <=> ! [V11fv: $i] :
% 5.55/5.78 ( ( mem @ V11fv @ A_27a )
% 5.55/5.78 => ~ ( p @ ( ap @ V10P @ ( ap @ V9i @ V11fv ) ) ) ) ) ) )
% 5.55/5.78 & ! [V12i: $i] :
% 5.55/5.78 ( ( mem @ V12i @ ( arr @ A_27a @ A_27b ) )
% 5.55/5.78 => ! [V13P: $i] :
% 5.55/5.78 ( ( mem @ V13P @ ( arr @ A_27b @ bool ) )
% 5.55/5.78 => ( ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__GAP @ A_27a @ A_27b ) @ V12i ) @ V13P ) )
% 5.55/5.78 <=> ! [V14v: $i] :
% 5.55/5.78 ( ( mem @ V14v @ A_27b )
% 5.55/5.78 => ( ( p @ ( ap @ V13P @ V14v ) )
% 5.55/5.78 => ? [V15fv: $i] :
% 5.55/5.78 ( ( mem @ V15fv @ A_27a )
% 5.55/5.78 & ( V14v
% 5.55/5.78 = ( ap @ V12i @ V15fv ) ) ) ) ) ) ) )
% 5.55/5.78 & ! [V16i: $i] :
% 5.55/5.78 ( ( mem @ V16i @ ( arr @ A_27a @ A_27b ) )
% 5.55/5.78 => ! [V17P: $i] :
% 5.55/5.78 ( ( mem @ V17P @ ( arr @ A_27b @ bool ) )
% 5.55/5.78 => ( ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__GAP @ A_27a @ A_27b ) @ V16i ) @ V17P ) )
% 5.55/5.78 <=> ! [V18v: $i] :
% 5.55/5.78 ( ( mem @ V18v @ A_27b )
% 5.55/5.78 => ( ~ ( p @ ( ap @ V17P @ V18v ) )
% 5.55/5.78 => ? [V19fv: $i] :
% 5.55/5.78 ( ( mem @ V19fv @ A_27a )
% 5.55/5.78 & ( V18v
% 5.55/5.78 = ( ap @ V16i @ V19fv ) ) ) ) ) ) ) ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2EGUESS__EXISTS__POINT__THM,axiom,
% 5.55/5.78 ! [A_27a: del,A_27b: del,V0i: $i] :
% 5.55/5.78 ( ( mem @ V0i @ ( arr @ A_27a @ A_27b ) )
% 5.55/5.78 => ! [V1P: $i] :
% 5.55/5.78 ( ( mem @ V1P @ ( arr @ A_27b @ bool ) )
% 5.55/5.78 => ( ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__POINT @ A_27a @ A_27b ) @ V0i ) @ V1P ) )
% 5.55/5.78 => ( ( p @ ( ap @ ( c_2Ebool_2E_3F @ A_27b ) @ V1P ) )
% 5.55/5.78 <=> $true ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2EGUESS__FORALL__POINT__THM,axiom,
% 5.55/5.78 ! [A_27a: del,A_27b: del,V0i: $i] :
% 5.55/5.78 ( ( mem @ V0i @ ( arr @ A_27a @ A_27b ) )
% 5.55/5.78 => ! [V1P: $i] :
% 5.55/5.78 ( ( mem @ V1P @ ( arr @ A_27b @ bool ) )
% 5.55/5.78 => ( ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ A_27a @ A_27b ) @ V0i ) @ V1P ) )
% 5.55/5.78 => ( ( p @ ( ap @ ( c_2Ebool_2E_21 @ A_27b ) @ V1P ) )
% 5.55/5.78 <=> $false ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2EGUESS__EXISTS__THM,axiom,
% 5.55/5.78 ! [A_27a: del,A_27b: del,V0i: $i] :
% 5.55/5.78 ( ( mem @ V0i @ ( arr @ A_27a @ A_27b ) )
% 5.55/5.78 => ! [V1P: $i] :
% 5.55/5.78 ( ( mem @ V1P @ ( arr @ A_27b @ bool ) )
% 5.55/5.78 => ( ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS @ A_27a @ A_27b ) @ V0i ) @ V1P ) )
% 5.55/5.78 => ( ( p @ ( ap @ ( c_2Ebool_2E_3F @ A_27b ) @ V1P ) )
% 5.55/5.78 <=> ? [V2fv: $i] :
% 5.55/5.78 ( ( mem @ V2fv @ A_27a )
% 5.55/5.78 & ( p @ ( ap @ V1P @ ( ap @ V0i @ V2fv ) ) ) ) ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2EGUESS__FORALL__THM,axiom,
% 5.55/5.78 ! [A_27a: del,A_27b: del,V0i: $i] :
% 5.55/5.78 ( ( mem @ V0i @ ( arr @ A_27a @ A_27b ) )
% 5.55/5.78 => ! [V1P: $i] :
% 5.55/5.78 ( ( mem @ V1P @ ( arr @ A_27b @ bool ) )
% 5.55/5.78 => ( ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL @ A_27a @ A_27b ) @ V0i ) @ V1P ) )
% 5.55/5.78 => ( ( p @ ( ap @ ( c_2Ebool_2E_21 @ A_27b ) @ V1P ) )
% 5.55/5.78 <=> ! [V2fv: $i] :
% 5.55/5.78 ( ( mem @ V2fv @ A_27a )
% 5.55/5.78 => ( p @ ( ap @ V1P @ ( ap @ V0i @ V2fv ) ) ) ) ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2EGUESSES__UEXISTS__THM1,axiom,
% 5.55/5.78 ! [A_27a: del,A_27b: del,V0i: $i] :
% 5.55/5.78 ( ( mem @ V0i @ A_27a )
% 5.55/5.78 => ! [V1P: $i] :
% 5.55/5.78 ( ( mem @ V1P @ ( arr @ A_27a @ bool ) )
% 5.55/5.78 => ( ( p
% 5.55/5.78 @ ( ap
% 5.55/5.78 @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS @ A_27b @ A_27a )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V2x: $i] : V0i ) )
% 5.55/5.78 @ V1P ) )
% 5.55/5.78 => ( ( p @ ( ap @ ( c_2Ebool_2E_3F_21 @ A_27a ) @ V1P ) )
% 5.55/5.78 <=> ( ( p @ ( ap @ V1P @ V0i ) )
% 5.55/5.78 & ! [V3v: $i] :
% 5.55/5.78 ( ( mem @ V3v @ A_27a )
% 5.55/5.78 => ( ( p @ ( ap @ V1P @ V3v ) )
% 5.55/5.78 => ( V3v = V0i ) ) ) ) ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2EGUESSES__UEXISTS__THM2,axiom,
% 5.55/5.78 ! [A_27a: del,A_27b: del,V0i: $i] :
% 5.55/5.78 ( ( mem @ V0i @ A_27a )
% 5.55/5.78 => ! [V1P: $i] :
% 5.55/5.78 ( ( mem @ V1P @ ( arr @ A_27a @ bool ) )
% 5.55/5.78 => ( ( p
% 5.55/5.78 @ ( ap
% 5.55/5.78 @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__GAP @ A_27b @ A_27a )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V2x: $i] : V0i ) )
% 5.55/5.78 @ V1P ) )
% 5.55/5.78 => ( ( p @ ( ap @ ( c_2Ebool_2E_3F_21 @ A_27a ) @ V1P ) )
% 5.55/5.78 <=> ( p @ ( ap @ V1P @ V0i ) ) ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2EGUESSES__UEXISTS__THM3,axiom,
% 5.55/5.78 ! [A_27a: del,A_27b: del,V0i: $i] :
% 5.55/5.78 ( ( mem @ V0i @ A_27a )
% 5.55/5.78 => ! [V1P: $i] :
% 5.55/5.78 ( ( mem @ V1P @ ( arr @ A_27a @ bool ) )
% 5.55/5.78 => ( ( p
% 5.55/5.78 @ ( ap
% 5.55/5.78 @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__POINT @ A_27b @ A_27a )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V2x: $i] : V0i ) )
% 5.55/5.78 @ V1P ) )
% 5.55/5.78 => ( ( p @ ( ap @ ( c_2Ebool_2E_3F_21 @ A_27a ) @ V1P ) )
% 5.55/5.78 <=> ! [V3v: $i] :
% 5.55/5.78 ( ( mem @ V3v @ A_27a )
% 5.55/5.78 => ( ( p @ ( ap @ V1P @ V3v ) )
% 5.55/5.78 => ( V3v = V0i ) ) ) ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2EGUESSES__UEXISTS__THM4,axiom,
% 5.55/5.78 ! [A_27a: del,A_27b: del,A_27c: del,V0i: $i] :
% 5.55/5.78 ( ( mem @ V0i @ A_27a )
% 5.55/5.78 => ! [V1P: $i] :
% 5.55/5.78 ( ( mem @ V1P @ ( arr @ A_27a @ bool ) )
% 5.55/5.78 => ( ( p
% 5.55/5.78 @ ( ap
% 5.55/5.78 @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__POINT @ A_27b @ A_27a )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V2x: $i] : V0i ) )
% 5.55/5.78 @ V1P ) )
% 5.55/5.78 => ( ( p
% 5.55/5.78 @ ( ap
% 5.55/5.78 @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__GAP @ A_27c @ A_27a )
% 5.55/5.78 @ ( lam @ A_27c
% 5.55/5.78 @ ^ [V3x: $i] : V0i ) )
% 5.55/5.78 @ V1P ) )
% 5.55/5.78 => ( ( p @ ( ap @ ( c_2Ebool_2E_3F_21 @ A_27a ) @ V1P ) )
% 5.55/5.78 <=> $true ) ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2EGUESSES__NEG__DUALITY,axiom,
% 5.55/5.78 ! [A_27a: del,A_27b: del,V0i: $i] :
% 5.55/5.78 ( ( mem @ V0i @ ( arr @ A_27a @ A_27b ) )
% 5.55/5.78 => ! [V1P: $i] :
% 5.55/5.78 ( ( mem @ V1P @ ( arr @ A_27b @ bool ) )
% 5.55/5.78 => ( ( ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS @ A_27a @ A_27b ) @ V0i ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ bool @ bool ) @ c_2Ebool_2E_7E ) @ V1P ) ) )
% 5.55/5.78 <=> ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL @ A_27a @ A_27b ) @ V0i ) @ V1P ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL @ A_27a @ A_27b ) @ V0i ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ bool @ bool ) @ c_2Ebool_2E_7E ) @ V1P ) ) )
% 5.55/5.78 <=> ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS @ A_27a @ A_27b ) @ V0i ) @ V1P ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__GAP @ A_27a @ A_27b ) @ V0i ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ bool @ bool ) @ c_2Ebool_2E_7E ) @ V1P ) ) )
% 5.55/5.78 <=> ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__GAP @ A_27a @ A_27b ) @ V0i ) @ V1P ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__GAP @ A_27a @ A_27b ) @ V0i ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ bool @ bool ) @ c_2Ebool_2E_7E ) @ V1P ) ) )
% 5.55/5.78 <=> ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__GAP @ A_27a @ A_27b ) @ V0i ) @ V1P ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__POINT @ A_27a @ A_27b ) @ V0i ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ bool @ bool ) @ c_2Ebool_2E_7E ) @ V1P ) ) )
% 5.55/5.78 <=> ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ A_27a @ A_27b ) @ V0i ) @ V1P ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ A_27a @ A_27b ) @ V0i ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ bool @ bool ) @ c_2Ebool_2E_7E ) @ V1P ) ) )
% 5.55/5.78 <=> ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__POINT @ A_27a @ A_27b ) @ V0i ) @ V1P ) ) ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2EGUESSES__NEG__REWRITE,axiom,
% 5.55/5.78 ! [A_27a: del,A_27b: del,V0i: $i] :
% 5.55/5.78 ( ( mem @ V0i @ ( arr @ A_27a @ A_27b ) )
% 5.55/5.78 => ! [V1P: $i] :
% 5.55/5.78 ( ( mem @ V1P @ ( arr @ A_27b @ bool ) )
% 5.55/5.78 => ( ( ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V2x: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V1P @ V2x ) ) ) ) )
% 5.55/5.78 <=> ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V3x: $i] : ( ap @ V1P @ V3x ) ) ) ) )
% 5.55/5.78 & ( ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V4x: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V1P @ V4x ) ) ) ) )
% 5.55/5.78 <=> ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V5x: $i] : ( ap @ V1P @ V5x ) ) ) ) )
% 5.55/5.78 & ( ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__GAP @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V6x: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V1P @ V6x ) ) ) ) )
% 5.55/5.78 <=> ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__GAP @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V7x: $i] : ( ap @ V1P @ V7x ) ) ) ) )
% 5.55/5.78 & ( ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__GAP @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V8x: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V1P @ V8x ) ) ) ) )
% 5.55/5.78 <=> ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__GAP @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V9x: $i] : ( ap @ V1P @ V9x ) ) ) ) )
% 5.55/5.78 & ( ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__POINT @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V10x: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V1P @ V10x ) ) ) ) )
% 5.55/5.78 <=> ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V11x: $i] : ( ap @ V1P @ V11x ) ) ) ) )
% 5.55/5.78 & ( ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V12x: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V1P @ V12x ) ) ) ) )
% 5.55/5.78 <=> ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__POINT @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V13x: $i] : ( ap @ V1P @ V13x ) ) ) ) ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2EGUESSES__WEAKEN__THM,axiom,
% 5.55/5.78 ! [A_27a: del,A_27b: del,V0i: $i] :
% 5.55/5.78 ( ( mem @ V0i @ ( arr @ A_27a @ A_27b ) )
% 5.55/5.78 => ! [V1P: $i] :
% 5.55/5.78 ( ( mem @ V1P @ ( arr @ A_27b @ bool ) )
% 5.55/5.78 => ( ( ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__GAP @ A_27a @ A_27b ) @ V0i ) @ V1P ) )
% 5.55/5.78 => ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL @ A_27a @ A_27b ) @ V0i ) @ V1P ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ A_27a @ A_27b ) @ V0i ) @ V1P ) )
% 5.55/5.78 => ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL @ A_27a @ A_27b ) @ V0i ) @ V1P ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__POINT @ A_27a @ A_27b ) @ V0i ) @ V1P ) )
% 5.55/5.78 => ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS @ A_27a @ A_27b ) @ V0i ) @ V1P ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__GAP @ A_27a @ A_27b ) @ V0i ) @ V1P ) )
% 5.55/5.78 => ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS @ A_27a @ A_27b ) @ V0i ) @ V1P ) ) ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2EGUESS__RULES__EQUATION__EXISTS__POINT,axiom,
% 5.55/5.78 ! [A_27a: del,A_27b: del,V0i: $i] :
% 5.55/5.78 ( ( mem @ V0i @ A_27a )
% 5.55/5.78 => ! [V1P: $i] :
% 5.55/5.78 ( ( mem @ V1P @ ( arr @ A_27a @ A_27b ) )
% 5.55/5.78 => ! [V2Q: $i] :
% 5.55/5.78 ( ( mem @ V2Q @ ( arr @ A_27a @ A_27b ) )
% 5.55/5.78 => ( ( ( ap @ V1P @ V0i )
% 5.55/5.78 = ( ap @ V2Q @ V0i ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap
% 5.55/5.78 @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__POINT @ ty_2Eone_2Eone @ A_27a )
% 5.55/5.78 @ ( lam @ ty_2Eone_2Eone
% 5.55/5.78 @ ^ [V3xxx: $i] : V0i ) )
% 5.55/5.78 @ ( lam @ A_27a
% 5.55/5.78 @ ^ [V4x: $i] : ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27b ) @ ( ap @ V1P @ V4x ) ) @ ( ap @ V2Q @ V4x ) ) ) ) ) ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2EGUESS__RULES__EQUATION__FORALL__POINT,axiom,
% 5.55/5.78 ! [A_27a: del,A_27b: del,A_27c: del,V0i: $i] :
% 5.55/5.78 ( ( mem @ V0i @ ( arr @ A_27a @ A_27b ) )
% 5.55/5.78 => ! [V1P: $i] :
% 5.55/5.78 ( ( mem @ V1P @ ( arr @ A_27b @ A_27c ) )
% 5.55/5.78 => ! [V2Q: $i] :
% 5.55/5.78 ( ( mem @ V2Q @ ( arr @ A_27b @ A_27c ) )
% 5.55/5.78 => ( ! [V3fv: $i] :
% 5.55/5.78 ( ( mem @ V3fv @ A_27a )
% 5.55/5.78 => ( ( ap @ V1P @ ( ap @ V0i @ V3fv ) )
% 5.55/5.78 != ( ap @ V2Q @ ( ap @ V0i @ V3fv ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V4x: $i] : ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27c ) @ ( ap @ V1P @ V4x ) ) @ ( ap @ V2Q @ V4x ) ) ) ) ) ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2EGUESS__RULES__EQUATION__EXISTS__GAP,axiom,
% 5.55/5.78 ! [A_27a: del,V0i: $i] :
% 5.55/5.78 ( ( mem @ V0i @ A_27a )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap
% 5.55/5.78 @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__GAP @ ty_2Eone_2Eone @ A_27a )
% 5.55/5.78 @ ( lam @ ty_2Eone_2Eone
% 5.55/5.78 @ ^ [V1xxx: $i] : V0i ) )
% 5.55/5.78 @ ( lam @ A_27a
% 5.55/5.78 @ ^ [V2x: $i] : ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V2x ) @ V0i ) ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2EGUESS__RULES__TRIVIAL__EXISTS__POINT,axiom,
% 5.55/5.78 ! [A_27a: del,V0i: $i] :
% 5.55/5.78 ( ( mem @ V0i @ A_27a )
% 5.55/5.78 => ! [V1P: $i] :
% 5.55/5.78 ( ( mem @ V1P @ ( arr @ A_27a @ bool ) )
% 5.55/5.78 => ( ( p @ ( ap @ V1P @ V0i ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap
% 5.55/5.78 @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__POINT @ ty_2Eone_2Eone @ A_27a )
% 5.55/5.78 @ ( lam @ ty_2Eone_2Eone
% 5.55/5.78 @ ^ [V2xxx: $i] : V0i ) )
% 5.55/5.78 @ V1P ) ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2EGUESS__RULES__TRIVIAL__FORALL__POINT,axiom,
% 5.55/5.78 ! [A_27a: del,V0i: $i] :
% 5.55/5.78 ( ( mem @ V0i @ A_27a )
% 5.55/5.78 => ! [V1P: $i] :
% 5.55/5.78 ( ( mem @ V1P @ ( arr @ A_27a @ bool ) )
% 5.55/5.78 => ( ~ ( p @ ( ap @ V1P @ V0i ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap
% 5.55/5.78 @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ ty_2Eone_2Eone @ A_27a )
% 5.55/5.78 @ ( lam @ ty_2Eone_2Eone
% 5.55/5.78 @ ^ [V2xxx: $i] : V0i ) )
% 5.55/5.78 @ V1P ) ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2EGUESS__RULES__BOOL,axiom,
% 5.55/5.78 ( ( p
% 5.55/5.78 @ ( ap
% 5.55/5.78 @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__POINT @ ty_2Eone_2Eone @ bool )
% 5.55/5.78 @ ( lam @ ty_2Eone_2Eone
% 5.55/5.78 @ ^ [V0ARB: $i] : c_2Ebool_2ET ) )
% 5.55/5.78 @ ( lam @ bool
% 5.55/5.78 @ ^ [V1x: $i] : V1x ) ) )
% 5.55/5.78 & ( p
% 5.55/5.78 @ ( ap
% 5.55/5.78 @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ ty_2Eone_2Eone @ bool )
% 5.55/5.78 @ ( lam @ ty_2Eone_2Eone
% 5.55/5.78 @ ^ [V2ARB: $i] : c_2Ebool_2EF ) )
% 5.55/5.78 @ ( lam @ bool
% 5.55/5.78 @ ^ [V3x: $i] : V3x ) ) )
% 5.55/5.78 & ( p
% 5.55/5.78 @ ( ap
% 5.55/5.78 @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__GAP @ ty_2Eone_2Eone @ bool )
% 5.55/5.78 @ ( lam @ ty_2Eone_2Eone
% 5.55/5.78 @ ^ [V4ARB: $i] : c_2Ebool_2ET ) )
% 5.55/5.78 @ ( lam @ bool
% 5.55/5.78 @ ^ [V5x: $i] : V5x ) ) )
% 5.55/5.78 & ( p
% 5.55/5.78 @ ( ap
% 5.55/5.78 @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__GAP @ ty_2Eone_2Eone @ bool )
% 5.55/5.78 @ ( lam @ ty_2Eone_2Eone
% 5.55/5.78 @ ^ [V6ARB: $i] : c_2Ebool_2EF ) )
% 5.55/5.78 @ ( lam @ bool
% 5.55/5.78 @ ^ [V7x: $i] : V7x ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2EGUESS__RULES__TWO__CASES,axiom,
% 5.55/5.78 ! [A_27a: del,A_27b: del,V0y: $i] :
% 5.55/5.78 ( ( mem @ V0y @ A_27a )
% 5.55/5.78 => ! [V1Q: $i] :
% 5.55/5.78 ( ( mem @ V1Q @ ( arr @ A_27b @ A_27a ) )
% 5.55/5.78 => ( ! [V2x: $i] :
% 5.55/5.78 ( ( mem @ V2x @ A_27a )
% 5.55/5.78 => ( ( V2x = V0y )
% 5.55/5.78 | ? [V3fv: $i] :
% 5.55/5.78 ( ( mem @ V3fv @ A_27b )
% 5.55/5.78 & ( V2x
% 5.55/5.78 = ( ap @ V1Q @ V3fv ) ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__GAP @ A_27b @ A_27a ) @ V1Q )
% 5.55/5.78 @ ( lam @ A_27a
% 5.55/5.78 @ ^ [V4x: $i] : ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V4x ) @ V0y ) ) ) ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2EGUESS__RULES__ONE__CASE______FORALL__GAP,axiom,
% 5.55/5.78 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.55/5.78 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.78 => ! [V1Q: $i] :
% 5.55/5.78 ( ( mem @ V1Q @ ( arr @ A_27b @ A_27a ) )
% 5.55/5.78 => ( ! [V2x: $i] :
% 5.55/5.78 ( ( mem @ V2x @ A_27a )
% 5.55/5.78 => ? [V3fv: $i] :
% 5.55/5.78 ( ( mem @ V3fv @ A_27b )
% 5.55/5.78 & ( V2x
% 5.55/5.78 = ( ap @ V1Q @ V3fv ) ) ) )
% 5.55/5.78 => ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__GAP @ A_27b @ A_27a ) @ V1Q ) @ V0P ) ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2EGUESS__RULES__ONE__CASE______EXISTS__GAP,axiom,
% 5.55/5.78 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.55/5.78 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.78 => ! [V1Q: $i] :
% 5.55/5.78 ( ( mem @ V1Q @ ( arr @ A_27b @ A_27a ) )
% 5.55/5.78 => ( ! [V2x: $i] :
% 5.55/5.78 ( ( mem @ V2x @ A_27a )
% 5.55/5.78 => ? [V3fv: $i] :
% 5.55/5.78 ( ( mem @ V3fv @ A_27b )
% 5.55/5.78 & ( V2x
% 5.55/5.78 = ( ap @ V1Q @ V3fv ) ) ) )
% 5.55/5.78 => ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__GAP @ A_27b @ A_27a ) @ V1Q ) @ V0P ) ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2EGUESS__RULES__NEG,axiom,
% 5.55/5.78 ! [A_27a: del,A_27b: del,V0i: $i] :
% 5.55/5.78 ( ( mem @ V0i @ ( arr @ A_27a @ A_27b ) )
% 5.55/5.78 => ! [V1P: $i] :
% 5.55/5.78 ( ( mem @ V1P @ ( arr @ A_27b @ bool ) )
% 5.55/5.78 => ( ( ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V2x: $i] : ( ap @ V1P @ V2x ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V3x: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V1P @ V3x ) ) ) ) ) )
% 5.55/5.78 & ( ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__GAP @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V4x: $i] : ( ap @ V1P @ V4x ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__GAP @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V5x: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V1P @ V5x ) ) ) ) ) )
% 5.55/5.78 & ( ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__POINT @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V6x: $i] : ( ap @ V1P @ V6x ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V7x: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V1P @ V7x ) ) ) ) ) )
% 5.55/5.78 & ( ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V8x: $i] : ( ap @ V1P @ V8x ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V9x: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V1P @ V9x ) ) ) ) ) )
% 5.55/5.78 & ( ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__GAP @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V10x: $i] : ( ap @ V1P @ V10x ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__GAP @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V11x: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V1P @ V11x ) ) ) ) ) )
% 5.55/5.78 & ( ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V12x: $i] : ( ap @ V1P @ V12x ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__POINT @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V13x: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V1P @ V13x ) ) ) ) ) ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2EGUESS__RULES__CONSTANT__EXISTS,axiom,
% 5.55/5.78 ! [A_27a: del,A_27b: del,V0i: $i] :
% 5.55/5.78 ( ( mem @ V0i @ ( arr @ A_27a @ A_27b ) )
% 5.55/5.78 => ! [V1p: $i] :
% 5.55/5.78 ( ( mem @ V1p @ bool )
% 5.55/5.78 => ( ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V2x: $i] : V1p ) ) )
% 5.55/5.78 <=> $true ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2EGUESS__RULES__CONSTANT__FORALL,axiom,
% 5.55/5.78 ! [A_27a: del,A_27b: del,V0i: $i] :
% 5.55/5.78 ( ( mem @ V0i @ ( arr @ A_27a @ A_27b ) )
% 5.55/5.78 => ! [V1p: $i] :
% 5.55/5.78 ( ( mem @ V1p @ bool )
% 5.55/5.78 => ( ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V2x: $i] : V1p ) ) )
% 5.55/5.78 <=> $true ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2EGUESS__RULES__DISJ,axiom,
% 5.55/5.78 ! [A_27a: del,A_27b: del,V0i: $i] :
% 5.55/5.78 ( ( mem @ V0i @ ( arr @ A_27a @ A_27b ) )
% 5.55/5.78 => ! [V1P: $i] :
% 5.55/5.78 ( ( mem @ V1P @ ( arr @ A_27b @ bool ) )
% 5.55/5.78 => ! [V2Q: $i] :
% 5.55/5.78 ( ( mem @ V2Q @ ( arr @ A_27b @ bool ) )
% 5.55/5.78 => ! [V3iK: $i] :
% 5.55/5.78 ( ( mem @ V3iK @ A_27b )
% 5.55/5.78 => ! [V4q: $i] :
% 5.55/5.78 ( ( mem @ V4q @ bool )
% 5.55/5.78 => ! [V5p: $i] :
% 5.55/5.78 ( ( mem @ V5p @ bool )
% 5.55/5.78 => ( ( ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__POINT @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V6x: $i] : ( ap @ V1P @ V6x ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__POINT @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V7x: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V1P @ V7x ) ) @ ( ap @ V2Q @ V7x ) ) ) ) ) )
% 5.55/5.78 & ( ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__POINT @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V8x: $i] : ( ap @ V2Q @ V8x ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__POINT @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V9x: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V1P @ V9x ) ) @ ( ap @ V2Q @ V9x ) ) ) ) ) )
% 5.55/5.78 & ( ( ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V10x: $i] : ( ap @ V1P @ V10x ) ) ) )
% 5.55/5.78 & ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V11x: $i] : ( ap @ V2Q @ V11x ) ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V12x: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V1P @ V12x ) ) @ ( ap @ V2Q @ V12x ) ) ) ) ) )
% 5.55/5.78 & ( ( ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__GAP @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V13x: $i] : ( ap @ V1P @ V13x ) ) ) )
% 5.55/5.78 & ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__GAP @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V14x: $i] : ( ap @ V2Q @ V14x ) ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__GAP @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V15x: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V1P @ V15x ) ) @ ( ap @ V2Q @ V15x ) ) ) ) ) )
% 5.55/5.78 & ( ( ( p
% 5.55/5.78 @ ( ap
% 5.55/5.78 @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL @ ty_2Eone_2Eone @ A_27b )
% 5.55/5.78 @ ( lam @ ty_2Eone_2Eone
% 5.55/5.78 @ ^ [V16xxx: $i] : V3iK ) )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V17x: $i] : ( ap @ V1P @ V17x ) ) ) )
% 5.55/5.78 & ( p
% 5.55/5.78 @ ( ap
% 5.55/5.78 @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL @ ty_2Eone_2Eone @ A_27b )
% 5.55/5.78 @ ( lam @ ty_2Eone_2Eone
% 5.55/5.78 @ ^ [V18xxx: $i] : V3iK ) )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V19x: $i] : ( ap @ V2Q @ V19x ) ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap
% 5.55/5.78 @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL @ ty_2Eone_2Eone @ A_27b )
% 5.55/5.78 @ ( lam @ ty_2Eone_2Eone
% 5.55/5.78 @ ^ [V20xxx: $i] : V3iK ) )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V21x: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V1P @ V21x ) ) @ ( ap @ V2Q @ V21x ) ) ) ) ) )
% 5.55/5.78 & ( ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V22x: $i] : ( ap @ V1P @ V22x ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V23x: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V1P @ V23x ) ) @ V4q ) ) ) ) )
% 5.55/5.78 & ( ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V24x: $i] : ( ap @ V2Q @ V24x ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V25x: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ V5p ) @ ( ap @ V2Q @ V25x ) ) ) ) ) )
% 5.55/5.78 & ( ( ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V26x: $i] : ( ap @ V1P @ V26x ) ) ) )
% 5.55/5.78 & ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V27x: $i] : ( ap @ V2Q @ V27x ) ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V28x: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V1P @ V28x ) ) @ ( ap @ V2Q @ V28x ) ) ) ) ) )
% 5.55/5.78 & ( ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__GAP @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V29x: $i] : ( ap @ V1P @ V29x ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__GAP @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V30x: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V1P @ V30x ) ) @ ( ap @ V2Q @ V30x ) ) ) ) ) )
% 5.55/5.78 & ( ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__GAP @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V31x: $i] : ( ap @ V2Q @ V31x ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__GAP @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V32x: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V1P @ V32x ) ) @ ( ap @ V2Q @ V32x ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2EGUESS__RULES__CONJ,axiom,
% 5.55/5.78 ! [A_27a: del,A_27b: del,V0i: $i] :
% 5.55/5.78 ( ( mem @ V0i @ ( arr @ A_27a @ A_27b ) )
% 5.55/5.78 => ! [V1P: $i] :
% 5.55/5.78 ( ( mem @ V1P @ ( arr @ A_27b @ bool ) )
% 5.55/5.78 => ! [V2Q: $i] :
% 5.55/5.78 ( ( mem @ V2Q @ ( arr @ A_27b @ bool ) )
% 5.55/5.78 => ! [V3iK: $i] :
% 5.55/5.78 ( ( mem @ V3iK @ A_27b )
% 5.55/5.78 => ! [V4q: $i] :
% 5.55/5.78 ( ( mem @ V4q @ bool )
% 5.55/5.78 => ! [V5p: $i] :
% 5.55/5.78 ( ( mem @ V5p @ bool )
% 5.55/5.78 => ( ( ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V6x: $i] : ( ap @ V1P @ V6x ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V7x: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V1P @ V7x ) ) @ ( ap @ V2Q @ V7x ) ) ) ) ) )
% 5.55/5.78 & ( ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V8x: $i] : ( ap @ V2Q @ V8x ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V9x: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V1P @ V9x ) ) @ ( ap @ V2Q @ V9x ) ) ) ) ) )
% 5.55/5.78 & ( ( ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V10x: $i] : ( ap @ V1P @ V10x ) ) ) )
% 5.55/5.78 & ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V11x: $i] : ( ap @ V2Q @ V11x ) ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V12x: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V1P @ V12x ) ) @ ( ap @ V2Q @ V12x ) ) ) ) ) )
% 5.55/5.78 & ( ( ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__GAP @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V13x: $i] : ( ap @ V1P @ V13x ) ) ) )
% 5.55/5.78 & ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__GAP @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V14x: $i] : ( ap @ V2Q @ V14x ) ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__GAP @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V15x: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V1P @ V15x ) ) @ ( ap @ V2Q @ V15x ) ) ) ) ) )
% 5.55/5.78 & ( ( ( p
% 5.55/5.78 @ ( ap
% 5.55/5.78 @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS @ ty_2Eone_2Eone @ A_27b )
% 5.55/5.78 @ ( lam @ ty_2Eone_2Eone
% 5.55/5.78 @ ^ [V16xxx: $i] : V3iK ) )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V17x: $i] : ( ap @ V1P @ V17x ) ) ) )
% 5.55/5.78 & ( p
% 5.55/5.78 @ ( ap
% 5.55/5.78 @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS @ ty_2Eone_2Eone @ A_27b )
% 5.55/5.78 @ ( lam @ ty_2Eone_2Eone
% 5.55/5.78 @ ^ [V18xxx: $i] : V3iK ) )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V19x: $i] : ( ap @ V2Q @ V19x ) ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap
% 5.55/5.78 @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS @ ty_2Eone_2Eone @ A_27b )
% 5.55/5.78 @ ( lam @ ty_2Eone_2Eone
% 5.55/5.78 @ ^ [V20xxx: $i] : V3iK ) )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V21x: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V1P @ V21x ) ) @ ( ap @ V2Q @ V21x ) ) ) ) ) )
% 5.55/5.78 & ( ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V22x: $i] : ( ap @ V1P @ V22x ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V23x: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V1P @ V23x ) ) @ V4q ) ) ) ) )
% 5.55/5.78 & ( ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V24x: $i] : ( ap @ V2Q @ V24x ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V25x: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ V5p ) @ ( ap @ V2Q @ V25x ) ) ) ) ) )
% 5.55/5.78 & ( ( ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__POINT @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V26x: $i] : ( ap @ V1P @ V26x ) ) ) )
% 5.55/5.78 & ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__POINT @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V27x: $i] : ( ap @ V2Q @ V27x ) ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__POINT @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V28x: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V1P @ V28x ) ) @ ( ap @ V2Q @ V28x ) ) ) ) ) )
% 5.55/5.78 & ( ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__GAP @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V29x: $i] : ( ap @ V1P @ V29x ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__GAP @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V30x: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V1P @ V30x ) ) @ ( ap @ V2Q @ V30x ) ) ) ) ) )
% 5.55/5.78 & ( ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__GAP @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V31x: $i] : ( ap @ V2Q @ V31x ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__GAP @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V32x: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V1P @ V32x ) ) @ ( ap @ V2Q @ V32x ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2EGUESS__RULES__IMP,axiom,
% 5.55/5.78 ! [A_27a: del,A_27b: del,V0i: $i] :
% 5.55/5.78 ( ( mem @ V0i @ ( arr @ A_27a @ A_27b ) )
% 5.55/5.78 => ! [V1P: $i] :
% 5.55/5.78 ( ( mem @ V1P @ ( arr @ A_27b @ bool ) )
% 5.55/5.78 => ! [V2Q: $i] :
% 5.55/5.78 ( ( mem @ V2Q @ ( arr @ A_27b @ bool ) )
% 5.55/5.78 => ! [V3iK: $i] :
% 5.55/5.78 ( ( mem @ V3iK @ A_27b )
% 5.55/5.78 => ! [V4q: $i] :
% 5.55/5.78 ( ( mem @ V4q @ bool )
% 5.55/5.78 => ! [V5p: $i] :
% 5.55/5.78 ( ( mem @ V5p @ bool )
% 5.55/5.78 => ( ( ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V6x: $i] : ( ap @ V1P @ V6x ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__POINT @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V7x: $i] : ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ V1P @ V7x ) ) @ ( ap @ V2Q @ V7x ) ) ) ) ) )
% 5.55/5.78 & ( ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__POINT @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V8x: $i] : ( ap @ V2Q @ V8x ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__POINT @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V9x: $i] : ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ V1P @ V9x ) ) @ ( ap @ V2Q @ V9x ) ) ) ) ) )
% 5.55/5.78 & ( ( ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V10x: $i] : ( ap @ V1P @ V10x ) ) ) )
% 5.55/5.78 & ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V11x: $i] : ( ap @ V2Q @ V11x ) ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V12x: $i] : ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ V1P @ V12x ) ) @ ( ap @ V2Q @ V12x ) ) ) ) ) )
% 5.55/5.78 & ( ( ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__GAP @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V13x: $i] : ( ap @ V1P @ V13x ) ) ) )
% 5.55/5.78 & ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__GAP @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V14x: $i] : ( ap @ V2Q @ V14x ) ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__GAP @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V15x: $i] : ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ V1P @ V15x ) ) @ ( ap @ V2Q @ V15x ) ) ) ) ) )
% 5.55/5.78 & ( ( ( p
% 5.55/5.78 @ ( ap
% 5.55/5.78 @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS @ ty_2Eone_2Eone @ A_27b )
% 5.55/5.78 @ ( lam @ ty_2Eone_2Eone
% 5.55/5.78 @ ^ [V16xxx: $i] : V3iK ) )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V17x: $i] : ( ap @ V1P @ V17x ) ) ) )
% 5.55/5.78 & ( p
% 5.55/5.78 @ ( ap
% 5.55/5.78 @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL @ ty_2Eone_2Eone @ A_27b )
% 5.55/5.78 @ ( lam @ ty_2Eone_2Eone
% 5.55/5.78 @ ^ [V18xxx: $i] : V3iK ) )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V19x: $i] : ( ap @ V2Q @ V19x ) ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap
% 5.55/5.78 @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL @ ty_2Eone_2Eone @ A_27b )
% 5.55/5.78 @ ( lam @ ty_2Eone_2Eone
% 5.55/5.78 @ ^ [V20xxx: $i] : V3iK ) )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V21x: $i] : ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ V1P @ V21x ) ) @ ( ap @ V2Q @ V21x ) ) ) ) ) )
% 5.55/5.78 & ( ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V22x: $i] : ( ap @ V1P @ V22x ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V23x: $i] : ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ V1P @ V23x ) ) @ V4q ) ) ) ) )
% 5.55/5.78 & ( ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V24x: $i] : ( ap @ V2Q @ V24x ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V25x: $i] : ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ V5p ) @ ( ap @ V2Q @ V25x ) ) ) ) ) )
% 5.55/5.78 & ( ( ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__POINT @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V26x: $i] : ( ap @ V1P @ V26x ) ) ) )
% 5.55/5.78 & ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V27x: $i] : ( ap @ V2Q @ V27x ) ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V28x: $i] : ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ V1P @ V28x ) ) @ ( ap @ V2Q @ V28x ) ) ) ) ) )
% 5.55/5.78 & ( ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__GAP @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V29x: $i] : ( ap @ V1P @ V29x ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__GAP @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V30x: $i] : ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ V1P @ V30x ) ) @ ( ap @ V2Q @ V30x ) ) ) ) ) )
% 5.55/5.78 & ( ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__GAP @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V31x: $i] : ( ap @ V2Q @ V31x ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__GAP @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V32x: $i] : ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ V1P @ V32x ) ) @ ( ap @ V2Q @ V32x ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2EGUESS__RULES__EQUIV,axiom,
% 5.55/5.78 ! [A_27a: del,A_27b: del,V0i: $i] :
% 5.55/5.78 ( ( mem @ V0i @ ( arr @ A_27a @ A_27b ) )
% 5.55/5.78 => ! [V1P: $i] :
% 5.55/5.78 ( ( mem @ V1P @ ( arr @ A_27b @ bool ) )
% 5.55/5.78 => ! [V2Q: $i] :
% 5.55/5.78 ( ( mem @ V2Q @ ( arr @ A_27b @ bool ) )
% 5.55/5.78 => ! [V3P1: $i] :
% 5.55/5.78 ( ( mem @ V3P1 @ ( arr @ A_27b @ bool ) )
% 5.55/5.78 => ! [V4P2: $i] :
% 5.55/5.78 ( ( mem @ V4P2 @ ( arr @ A_27b @ bool ) )
% 5.55/5.78 => ( ( ( ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__POINT @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V5x: $i] : ( ap @ V1P @ V5x ) ) ) )
% 5.55/5.78 & ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__POINT @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V6x: $i] : ( ap @ V2Q @ V6x ) ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__POINT @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V7x: $i] : ( ap @ ( ap @ ( c_2Emin_2E_3D @ bool ) @ ( ap @ V1P @ V7x ) ) @ ( ap @ V2Q @ V7x ) ) ) ) ) )
% 5.55/5.78 & ( ( ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V8x: $i] : ( ap @ V1P @ V8x ) ) ) )
% 5.55/5.78 & ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V9x: $i] : ( ap @ V2Q @ V9x ) ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__POINT @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V10x: $i] : ( ap @ ( ap @ ( c_2Emin_2E_3D @ bool ) @ ( ap @ V1P @ V10x ) ) @ ( ap @ V2Q @ V10x ) ) ) ) ) )
% 5.55/5.78 & ( ( ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__POINT @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V11x: $i] : ( ap @ V1P @ V11x ) ) ) )
% 5.55/5.78 & ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V12x: $i] : ( ap @ V2Q @ V12x ) ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V13x: $i] : ( ap @ ( ap @ ( c_2Emin_2E_3D @ bool ) @ ( ap @ V1P @ V13x ) ) @ ( ap @ V2Q @ V13x ) ) ) ) ) )
% 5.55/5.78 & ( ( ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V14x: $i] : ( ap @ V1P @ V14x ) ) ) )
% 5.55/5.78 & ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__POINT @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V15x: $i] : ( ap @ V2Q @ V15x ) ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V16x: $i] : ( ap @ ( ap @ ( c_2Emin_2E_3D @ bool ) @ ( ap @ V1P @ V16x ) ) @ ( ap @ V2Q @ V16x ) ) ) ) ) )
% 5.55/5.78 & ( ( ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__GAP @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V17x: $i] : ( ap @ V3P1 @ V17x ) ) ) )
% 5.55/5.78 & ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__GAP @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V18x: $i] : ( ap @ V4P2 @ V18x ) ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__GAP @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V19x: $i] : ( ap @ ( ap @ ( c_2Emin_2E_3D @ bool ) @ ( ap @ V3P1 @ V19x ) ) @ ( ap @ V4P2 @ V19x ) ) ) ) ) )
% 5.55/5.78 & ( ( ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__GAP @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V20x: $i] : ( ap @ V3P1 @ V20x ) ) ) )
% 5.55/5.78 & ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__GAP @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V21x: $i] : ( ap @ V4P2 @ V21x ) ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__GAP @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V22x: $i] : ( ap @ ( ap @ ( c_2Emin_2E_3D @ bool ) @ ( ap @ V3P1 @ V22x ) ) @ ( ap @ V4P2 @ V22x ) ) ) ) ) )
% 5.55/5.78 & ( ( ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__GAP @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V23x: $i] : ( ap @ V3P1 @ V23x ) ) ) )
% 5.55/5.78 & ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__GAP @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V24x: $i] : ( ap @ V4P2 @ V24x ) ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__GAP @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V25x: $i] : ( ap @ ( ap @ ( c_2Emin_2E_3D @ bool ) @ ( ap @ V3P1 @ V25x ) ) @ ( ap @ V4P2 @ V25x ) ) ) ) ) )
% 5.55/5.78 & ( ( ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__GAP @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V26x: $i] : ( ap @ V3P1 @ V26x ) ) ) )
% 5.55/5.78 & ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__GAP @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V27x: $i] : ( ap @ V4P2 @ V27x ) ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__GAP @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V28x: $i] : ( ap @ ( ap @ ( c_2Emin_2E_3D @ bool ) @ ( ap @ V3P1 @ V28x ) ) @ ( ap @ V4P2 @ V28x ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2EGUESS__RULES__COND,axiom,
% 5.55/5.78 ! [A_27a: del,A_27b: del,V0i: $i] :
% 5.55/5.78 ( ( mem @ V0i @ ( arr @ A_27a @ A_27b ) )
% 5.55/5.78 => ! [V1P: $i] :
% 5.55/5.78 ( ( mem @ V1P @ ( arr @ A_27b @ bool ) )
% 5.55/5.78 => ! [V2Q: $i] :
% 5.55/5.78 ( ( mem @ V2Q @ ( arr @ A_27b @ bool ) )
% 5.55/5.78 => ! [V3b: $i] :
% 5.55/5.78 ( ( mem @ V3b @ ( arr @ A_27b @ bool ) )
% 5.55/5.78 => ! [V4bc: $i] :
% 5.55/5.78 ( ( mem @ V4bc @ bool )
% 5.55/5.78 => ( ( ( ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V5x: $i] : ( ap @ V1P @ V5x ) ) ) )
% 5.55/5.78 & ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V6x: $i] : ( ap @ V2Q @ V6x ) ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V7x: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ bool ) @ ( ap @ V3b @ V7x ) ) @ ( ap @ V1P @ V7x ) ) @ ( ap @ V2Q @ V7x ) ) ) ) ) )
% 5.55/5.78 & ( ( ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__POINT @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V8x: $i] : ( ap @ V1P @ V8x ) ) ) )
% 5.55/5.78 & ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__POINT @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V9x: $i] : ( ap @ V2Q @ V9x ) ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__POINT @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V10x: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ bool ) @ ( ap @ V3b @ V10x ) ) @ ( ap @ V1P @ V10x ) ) @ ( ap @ V2Q @ V10x ) ) ) ) ) )
% 5.55/5.78 & ( ( ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V11x: $i] : ( ap @ V1P @ V11x ) ) ) )
% 5.55/5.78 & ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V12x: $i] : ( ap @ V2Q @ V12x ) ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V13x: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ bool ) @ V4bc ) @ ( ap @ V1P @ V13x ) ) @ ( ap @ V2Q @ V13x ) ) ) ) ) )
% 5.55/5.78 & ( ( ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V14x: $i] : ( ap @ V1P @ V14x ) ) ) )
% 5.55/5.78 & ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V15x: $i] : ( ap @ V2Q @ V15x ) ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V16x: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ bool ) @ V4bc ) @ ( ap @ V1P @ V16x ) ) @ ( ap @ V2Q @ V16x ) ) ) ) ) )
% 5.55/5.78 & ( ( ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__GAP @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V17x: $i] : ( ap @ V1P @ V17x ) ) ) )
% 5.55/5.78 & ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__GAP @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V18x: $i] : ( ap @ V2Q @ V18x ) ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__GAP @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V19x: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ bool ) @ ( ap @ V3b @ V19x ) ) @ ( ap @ V1P @ V19x ) ) @ ( ap @ V2Q @ V19x ) ) ) ) ) )
% 5.55/5.78 & ( ( ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__GAP @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V20x: $i] : ( ap @ V1P @ V20x ) ) ) )
% 5.55/5.78 & ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__GAP @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V21x: $i] : ( ap @ V2Q @ V21x ) ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__GAP @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V22x: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ bool ) @ ( ap @ V3b @ V22x ) ) @ ( ap @ V1P @ V22x ) ) @ ( ap @ V2Q @ V22x ) ) ) ) ) )
% 5.55/5.78 & ( ( ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V23x: $i] : ( ap @ V3b @ V23x ) ) ) )
% 5.55/5.78 & ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V24x: $i] : ( ap @ V2Q @ V24x ) ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V25x: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ bool ) @ ( ap @ V3b @ V25x ) ) @ ( ap @ V1P @ V25x ) ) @ ( ap @ V2Q @ V25x ) ) ) ) ) )
% 5.55/5.78 & ( ( ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V26x: $i] : ( ap @ V3b @ V26x ) ) ) )
% 5.55/5.78 & ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__POINT @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V27x: $i] : ( ap @ V2Q @ V27x ) ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__POINT @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V28x: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ bool ) @ ( ap @ V3b @ V28x ) ) @ ( ap @ V1P @ V28x ) ) @ ( ap @ V2Q @ V28x ) ) ) ) ) )
% 5.55/5.78 & ( ( ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__POINT @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V29x: $i] : ( ap @ V3b @ V29x ) ) ) )
% 5.55/5.78 & ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V30x: $i] : ( ap @ V1P @ V30x ) ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V31x: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ bool ) @ ( ap @ V3b @ V31x ) ) @ ( ap @ V1P @ V31x ) ) @ ( ap @ V2Q @ V31x ) ) ) ) ) )
% 5.55/5.78 & ( ( ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__POINT @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V32x: $i] : ( ap @ V3b @ V32x ) ) ) )
% 5.55/5.78 & ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__POINT @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V33x: $i] : ( ap @ V1P @ V33x ) ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__POINT @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V34x: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ bool ) @ ( ap @ V3b @ V34x ) ) @ ( ap @ V1P @ V34x ) ) @ ( ap @ V2Q @ V34x ) ) ) ) ) )
% 5.55/5.78 & ( ( ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__GAP @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V35x: $i] : ( ap @ V3b @ V35x ) ) ) )
% 5.55/5.78 & ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__GAP @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V36x: $i] : ( ap @ V1P @ V36x ) ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__GAP @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V37x: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ bool ) @ ( ap @ V3b @ V37x ) ) @ ( ap @ V1P @ V37x ) ) @ ( ap @ V2Q @ V37x ) ) ) ) ) )
% 5.55/5.78 & ( ( ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__GAP @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V38x: $i] : ( ap @ V3b @ V38x ) ) ) )
% 5.55/5.78 & ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__GAP @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V39x: $i] : ( ap @ V2Q @ V39x ) ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__GAP @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V40x: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ bool ) @ ( ap @ V3b @ V40x ) ) @ ( ap @ V1P @ V40x ) ) @ ( ap @ V2Q @ V40x ) ) ) ) ) )
% 5.55/5.78 & ( ( ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__GAP @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V41x: $i] : ( ap @ V3b @ V41x ) ) ) )
% 5.55/5.78 & ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__GAP @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V42x: $i] : ( ap @ V2Q @ V42x ) ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__GAP @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V43x: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ bool ) @ ( ap @ V3b @ V43x ) ) @ ( ap @ V1P @ V43x ) ) @ ( ap @ V2Q @ V43x ) ) ) ) ) )
% 5.55/5.78 & ( ( ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__GAP @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V44x: $i] : ( ap @ V3b @ V44x ) ) ) )
% 5.55/5.78 & ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__GAP @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V45x: $i] : ( ap @ V1P @ V45x ) ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__GAP @ A_27a @ A_27b ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V46x: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ bool ) @ ( ap @ V3b @ V46x ) ) @ ( ap @ V1P @ V46x ) ) @ ( ap @ V2Q @ V46x ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2EGUESS__RULES__FORALL______NEW__FV,axiom,
% 5.55/5.78 ! [A_27a: del,A_27b: del,A_27c: del,V0iy: $i] :
% 5.55/5.78 ( ( mem @ V0iy @ ( arr @ A_27a @ ( arr @ A_27b @ A_27c ) ) )
% 5.55/5.78 => ! [V1P: $i] :
% 5.55/5.78 ( ( mem @ V1P @ ( arr @ A_27c @ ( arr @ A_27a @ bool ) ) )
% 5.55/5.78 => ( ( ! [V2y: $i] :
% 5.55/5.78 ( ( mem @ V2y @ A_27a )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ A_27b @ A_27c ) @ ( ap @ V0iy @ V2y ) )
% 5.55/5.78 @ ( lam @ A_27c
% 5.55/5.78 @ ^ [V3x: $i] : ( ap @ ( ap @ V1P @ V3x ) @ V2y ) ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap
% 5.55/5.78 @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ A_27c )
% 5.55/5.78 @ ( lam @ ( ty_2Epair_2Eprod @ A_27a @ A_27b )
% 5.55/5.78 @ ^ [V4fv: $i] : ( ap @ ( ap @ V0iy @ ( ap @ ( c_2Epair_2EFST @ A_27a @ A_27b ) @ V4fv ) ) @ ( ap @ ( c_2Epair_2ESND @ A_27a @ A_27b ) @ V4fv ) ) ) )
% 5.55/5.78 @ ( lam @ A_27c
% 5.55/5.78 @ ^ [V5x: $i] :
% 5.55/5.78 ( ap @ ( c_2Ebool_2E_21 @ A_27a )
% 5.55/5.78 @ ( lam @ A_27a
% 5.55/5.78 @ ^ [V6y: $i] : ( ap @ ( ap @ V1P @ V5x ) @ V6y ) ) ) ) ) ) )
% 5.55/5.78 & ( ! [V7y: $i] :
% 5.55/5.78 ( ( mem @ V7y @ A_27a )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL @ A_27b @ A_27c ) @ ( ap @ V0iy @ V7y ) )
% 5.55/5.78 @ ( lam @ A_27c
% 5.55/5.78 @ ^ [V8x: $i] : ( ap @ ( ap @ V1P @ V8x ) @ V7y ) ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap
% 5.55/5.78 @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ A_27c )
% 5.55/5.78 @ ( lam @ ( ty_2Epair_2Eprod @ A_27a @ A_27b )
% 5.55/5.78 @ ^ [V9fv: $i] : ( ap @ ( ap @ V0iy @ ( ap @ ( c_2Epair_2EFST @ A_27a @ A_27b ) @ V9fv ) ) @ ( ap @ ( c_2Epair_2ESND @ A_27a @ A_27b ) @ V9fv ) ) ) )
% 5.55/5.78 @ ( lam @ A_27c
% 5.55/5.78 @ ^ [V10x: $i] :
% 5.55/5.78 ( ap @ ( c_2Ebool_2E_21 @ A_27a )
% 5.55/5.78 @ ( lam @ A_27a
% 5.55/5.78 @ ^ [V11y: $i] : ( ap @ ( ap @ V1P @ V10x ) @ V11y ) ) ) ) ) ) )
% 5.55/5.78 & ( ! [V12y: $i] :
% 5.55/5.78 ( ( mem @ V12y @ A_27a )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__GAP @ A_27b @ A_27c ) @ ( ap @ V0iy @ V12y ) )
% 5.55/5.78 @ ( lam @ A_27c
% 5.55/5.78 @ ^ [V13x: $i] : ( ap @ ( ap @ V1P @ V13x ) @ V12y ) ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap
% 5.55/5.78 @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__GAP @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ A_27c )
% 5.55/5.78 @ ( lam @ ( ty_2Epair_2Eprod @ A_27a @ A_27b )
% 5.55/5.78 @ ^ [V14fv: $i] : ( ap @ ( ap @ V0iy @ ( ap @ ( c_2Epair_2EFST @ A_27a @ A_27b ) @ V14fv ) ) @ ( ap @ ( c_2Epair_2ESND @ A_27a @ A_27b ) @ V14fv ) ) ) )
% 5.55/5.78 @ ( lam @ A_27c
% 5.55/5.78 @ ^ [V15x: $i] :
% 5.55/5.78 ( ap @ ( c_2Ebool_2E_21 @ A_27a )
% 5.55/5.78 @ ( lam @ A_27a
% 5.55/5.78 @ ^ [V16y: $i] : ( ap @ ( ap @ V1P @ V15x ) @ V16y ) ) ) ) ) ) )
% 5.55/5.78 & ( ! [V17y: $i] :
% 5.55/5.78 ( ( mem @ V17y @ A_27a )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__GAP @ A_27b @ A_27c ) @ ( ap @ V0iy @ V17y ) )
% 5.55/5.78 @ ( lam @ A_27c
% 5.55/5.78 @ ^ [V18x: $i] : ( ap @ ( ap @ V1P @ V18x ) @ V17y ) ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap
% 5.55/5.78 @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__GAP @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ A_27c )
% 5.55/5.78 @ ( lam @ ( ty_2Epair_2Eprod @ A_27a @ A_27b )
% 5.55/5.78 @ ^ [V19fv: $i] : ( ap @ ( ap @ V0iy @ ( ap @ ( c_2Epair_2EFST @ A_27a @ A_27b ) @ V19fv ) ) @ ( ap @ ( c_2Epair_2ESND @ A_27a @ A_27b ) @ V19fv ) ) ) )
% 5.55/5.78 @ ( lam @ A_27c
% 5.55/5.78 @ ^ [V20x: $i] :
% 5.55/5.78 ( ap @ ( c_2Ebool_2E_21 @ A_27a )
% 5.55/5.78 @ ( lam @ A_27a
% 5.55/5.78 @ ^ [V21y: $i] : ( ap @ ( ap @ V1P @ V20x ) @ V21y ) ) ) ) ) ) ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2EGUESS__RULES__FORALL______NEW__FV__1,axiom,
% 5.55/5.78 ! [A_27a: del,A_27c: del,V0i: $i] :
% 5.55/5.78 ( ( mem @ V0i @ ( arr @ A_27a @ A_27c ) )
% 5.55/5.78 => ! [V1P: $i] :
% 5.55/5.78 ( ( mem @ V1P @ ( arr @ A_27c @ ( arr @ A_27a @ bool ) ) )
% 5.55/5.78 => ( ( ! [V2y: $i] :
% 5.55/5.78 ( ( mem @ V2y @ A_27a )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap
% 5.55/5.78 @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ ty_2Eone_2Eone @ A_27c )
% 5.55/5.78 @ ( lam @ ty_2Eone_2Eone
% 5.55/5.78 @ ^ [V3xxx: $i] : ( ap @ V0i @ V2y ) ) )
% 5.55/5.78 @ ( lam @ A_27c
% 5.55/5.78 @ ^ [V4x: $i] : ( ap @ ( ap @ V1P @ V4x ) @ V2y ) ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ A_27a @ A_27c ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27c
% 5.55/5.78 @ ^ [V5x: $i] :
% 5.55/5.78 ( ap @ ( c_2Ebool_2E_21 @ A_27a )
% 5.55/5.78 @ ( lam @ A_27a
% 5.55/5.78 @ ^ [V6y: $i] : ( ap @ ( ap @ V1P @ V5x ) @ V6y ) ) ) ) ) ) )
% 5.55/5.78 & ( ! [V7y: $i] :
% 5.55/5.78 ( ( mem @ V7y @ A_27a )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap
% 5.55/5.78 @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL @ ty_2Eone_2Eone @ A_27c )
% 5.55/5.78 @ ( lam @ ty_2Eone_2Eone
% 5.55/5.78 @ ^ [V8xxx: $i] : ( ap @ V0i @ V7y ) ) )
% 5.55/5.78 @ ( lam @ A_27c
% 5.55/5.78 @ ^ [V9x: $i] : ( ap @ ( ap @ V1P @ V9x ) @ V7y ) ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL @ A_27a @ A_27c ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27c
% 5.55/5.78 @ ^ [V10x: $i] :
% 5.55/5.78 ( ap @ ( c_2Ebool_2E_21 @ A_27a )
% 5.55/5.78 @ ( lam @ A_27a
% 5.55/5.78 @ ^ [V11y: $i] : ( ap @ ( ap @ V1P @ V10x ) @ V11y ) ) ) ) ) ) )
% 5.55/5.78 & ( ! [V12y: $i] :
% 5.55/5.78 ( ( mem @ V12y @ A_27a )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap
% 5.55/5.78 @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__GAP @ ty_2Eone_2Eone @ A_27c )
% 5.55/5.78 @ ( lam @ ty_2Eone_2Eone
% 5.55/5.78 @ ^ [V13xxx: $i] : ( ap @ V0i @ V12y ) ) )
% 5.55/5.78 @ ( lam @ A_27c
% 5.55/5.78 @ ^ [V14x: $i] : ( ap @ ( ap @ V1P @ V14x ) @ V12y ) ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__GAP @ A_27a @ A_27c ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27c
% 5.55/5.78 @ ^ [V15x: $i] :
% 5.55/5.78 ( ap @ ( c_2Ebool_2E_21 @ A_27a )
% 5.55/5.78 @ ( lam @ A_27a
% 5.55/5.78 @ ^ [V16y: $i] : ( ap @ ( ap @ V1P @ V15x ) @ V16y ) ) ) ) ) ) )
% 5.55/5.78 & ( ! [V17y: $i] :
% 5.55/5.78 ( ( mem @ V17y @ A_27a )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap
% 5.55/5.78 @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__GAP @ ty_2Eone_2Eone @ A_27c )
% 5.55/5.78 @ ( lam @ ty_2Eone_2Eone
% 5.55/5.78 @ ^ [V18xxx: $i] : ( ap @ V0i @ V17y ) ) )
% 5.55/5.78 @ ( lam @ A_27c
% 5.55/5.78 @ ^ [V19x: $i] : ( ap @ ( ap @ V1P @ V19x ) @ V17y ) ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__GAP @ A_27a @ A_27c ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27c
% 5.55/5.78 @ ^ [V20x: $i] :
% 5.55/5.78 ( ap @ ( c_2Ebool_2E_21 @ A_27a )
% 5.55/5.78 @ ( lam @ A_27a
% 5.55/5.78 @ ^ [V21y: $i] : ( ap @ ( ap @ V1P @ V20x ) @ V21y ) ) ) ) ) ) ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2EGUESS__RULES__FORALL,axiom,
% 5.55/5.78 ! [A_27a: del,A_27b: del,A_27c: del,V0i: $i] :
% 5.55/5.78 ( ( mem @ V0i @ ( arr @ A_27b @ A_27c ) )
% 5.55/5.78 => ! [V1P: $i] :
% 5.55/5.78 ( ( mem @ V1P @ ( arr @ A_27c @ ( arr @ A_27a @ bool ) ) )
% 5.55/5.78 => ! [V2iK: $i] :
% 5.55/5.78 ( ( mem @ V2iK @ A_27c )
% 5.55/5.78 => ( ( ! [V3y: $i] :
% 5.55/5.78 ( ( mem @ V3y @ A_27a )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ A_27b @ A_27c ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27c
% 5.55/5.78 @ ^ [V4x: $i] : ( ap @ ( ap @ V1P @ V4x ) @ V3y ) ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ A_27b @ A_27c ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27c
% 5.55/5.78 @ ^ [V5x: $i] :
% 5.55/5.78 ( ap @ ( c_2Ebool_2E_21 @ A_27a )
% 5.55/5.78 @ ( lam @ A_27a
% 5.55/5.78 @ ^ [V6y: $i] : ( ap @ ( ap @ V1P @ V5x ) @ V6y ) ) ) ) ) ) )
% 5.55/5.78 & ( ! [V7y: $i] :
% 5.55/5.78 ( ( mem @ V7y @ A_27a )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL @ A_27b @ A_27c ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27c
% 5.55/5.78 @ ^ [V8x: $i] : ( ap @ ( ap @ V1P @ V8x ) @ V7y ) ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL @ A_27b @ A_27c ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27c
% 5.55/5.78 @ ^ [V9x: $i] :
% 5.55/5.78 ( ap @ ( c_2Ebool_2E_21 @ A_27a )
% 5.55/5.78 @ ( lam @ A_27a
% 5.55/5.78 @ ^ [V10y: $i] : ( ap @ ( ap @ V1P @ V9x ) @ V10y ) ) ) ) ) ) )
% 5.55/5.78 & ( ! [V11y: $i] :
% 5.55/5.78 ( ( mem @ V11y @ A_27a )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__GAP @ A_27b @ A_27c ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27c
% 5.55/5.78 @ ^ [V12x: $i] : ( ap @ ( ap @ V1P @ V12x ) @ V11y ) ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__GAP @ A_27b @ A_27c ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27c
% 5.55/5.78 @ ^ [V13x: $i] :
% 5.55/5.78 ( ap @ ( c_2Ebool_2E_21 @ A_27a )
% 5.55/5.78 @ ( lam @ A_27a
% 5.55/5.78 @ ^ [V14y: $i] : ( ap @ ( ap @ V1P @ V13x ) @ V14y ) ) ) ) ) ) )
% 5.55/5.78 & ( ! [V15y: $i] :
% 5.55/5.78 ( ( mem @ V15y @ A_27a )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__POINT @ A_27b @ A_27c ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27c
% 5.55/5.78 @ ^ [V16x: $i] : ( ap @ ( ap @ V1P @ V16x ) @ V15y ) ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__POINT @ A_27b @ A_27c ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27c
% 5.55/5.78 @ ^ [V17x: $i] :
% 5.55/5.78 ( ap @ ( c_2Ebool_2E_21 @ A_27a )
% 5.55/5.78 @ ( lam @ A_27a
% 5.55/5.78 @ ^ [V18y: $i] : ( ap @ ( ap @ V1P @ V17x ) @ V18y ) ) ) ) ) ) )
% 5.55/5.78 & ( ! [V19y: $i] :
% 5.55/5.78 ( ( mem @ V19y @ A_27a )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap
% 5.55/5.78 @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS @ ty_2Eone_2Eone @ A_27c )
% 5.55/5.78 @ ( lam @ ty_2Eone_2Eone
% 5.55/5.78 @ ^ [V20xxx: $i] : V2iK ) )
% 5.55/5.78 @ ( lam @ A_27c
% 5.55/5.78 @ ^ [V21x: $i] : ( ap @ ( ap @ V1P @ V21x ) @ V19y ) ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap
% 5.55/5.78 @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS @ ty_2Eone_2Eone @ A_27c )
% 5.55/5.78 @ ( lam @ ty_2Eone_2Eone
% 5.55/5.78 @ ^ [V22xxx: $i] : V2iK ) )
% 5.55/5.78 @ ( lam @ A_27c
% 5.55/5.78 @ ^ [V23x: $i] :
% 5.55/5.78 ( ap @ ( c_2Ebool_2E_21 @ A_27a )
% 5.55/5.78 @ ( lam @ A_27a
% 5.55/5.78 @ ^ [V24y: $i] : ( ap @ ( ap @ V1P @ V23x ) @ V24y ) ) ) ) ) ) )
% 5.55/5.78 & ( ! [V25y: $i] :
% 5.55/5.78 ( ( mem @ V25y @ A_27a )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__GAP @ A_27b @ A_27c ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27c
% 5.55/5.78 @ ^ [V26x: $i] : ( ap @ ( ap @ V1P @ V26x ) @ V25y ) ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__GAP @ A_27b @ A_27c ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27c
% 5.55/5.78 @ ^ [V27x: $i] :
% 5.55/5.78 ( ap @ ( c_2Ebool_2E_21 @ A_27a )
% 5.55/5.78 @ ( lam @ A_27a
% 5.55/5.78 @ ^ [V28y: $i] : ( ap @ ( ap @ V1P @ V27x ) @ V28y ) ) ) ) ) ) ) ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2EGUESS__RULES__EXISTS______NEW__FV,axiom,
% 5.55/5.78 ! [A_27a: del,A_27b: del,A_27c: del,V0iy: $i] :
% 5.55/5.78 ( ( mem @ V0iy @ ( arr @ A_27a @ ( arr @ A_27b @ A_27c ) ) )
% 5.55/5.78 => ! [V1P: $i] :
% 5.55/5.78 ( ( mem @ V1P @ ( arr @ A_27c @ ( arr @ A_27a @ bool ) ) )
% 5.55/5.78 => ( ( ! [V2y: $i] :
% 5.55/5.78 ( ( mem @ V2y @ A_27a )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__POINT @ A_27b @ A_27c ) @ ( ap @ V0iy @ V2y ) )
% 5.55/5.78 @ ( lam @ A_27c
% 5.55/5.78 @ ^ [V3x: $i] : ( ap @ ( ap @ V1P @ V3x ) @ V2y ) ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap
% 5.55/5.78 @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__POINT @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ A_27c )
% 5.55/5.78 @ ( lam @ ( ty_2Epair_2Eprod @ A_27a @ A_27b )
% 5.55/5.78 @ ^ [V4fv: $i] : ( ap @ ( ap @ V0iy @ ( ap @ ( c_2Epair_2EFST @ A_27a @ A_27b ) @ V4fv ) ) @ ( ap @ ( c_2Epair_2ESND @ A_27a @ A_27b ) @ V4fv ) ) ) )
% 5.55/5.78 @ ( lam @ A_27c
% 5.55/5.78 @ ^ [V5x: $i] :
% 5.55/5.78 ( ap @ ( c_2Ebool_2E_3F @ A_27a )
% 5.55/5.78 @ ( lam @ A_27a
% 5.55/5.78 @ ^ [V6y: $i] : ( ap @ ( ap @ V1P @ V5x ) @ V6y ) ) ) ) ) ) )
% 5.55/5.78 & ( ! [V7y: $i] :
% 5.55/5.78 ( ( mem @ V7y @ A_27a )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS @ A_27b @ A_27c ) @ ( ap @ V0iy @ V7y ) )
% 5.55/5.78 @ ( lam @ A_27c
% 5.55/5.78 @ ^ [V8x: $i] : ( ap @ ( ap @ V1P @ V8x ) @ V7y ) ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap
% 5.55/5.78 @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ A_27c )
% 5.55/5.78 @ ( lam @ ( ty_2Epair_2Eprod @ A_27a @ A_27b )
% 5.55/5.78 @ ^ [V9fv: $i] : ( ap @ ( ap @ V0iy @ ( ap @ ( c_2Epair_2EFST @ A_27a @ A_27b ) @ V9fv ) ) @ ( ap @ ( c_2Epair_2ESND @ A_27a @ A_27b ) @ V9fv ) ) ) )
% 5.55/5.78 @ ( lam @ A_27c
% 5.55/5.78 @ ^ [V10x: $i] :
% 5.55/5.78 ( ap @ ( c_2Ebool_2E_3F @ A_27a )
% 5.55/5.78 @ ( lam @ A_27a
% 5.55/5.78 @ ^ [V11y: $i] : ( ap @ ( ap @ V1P @ V10x ) @ V11y ) ) ) ) ) ) )
% 5.55/5.78 & ( ! [V12y: $i] :
% 5.55/5.78 ( ( mem @ V12y @ A_27a )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__GAP @ A_27b @ A_27c ) @ ( ap @ V0iy @ V12y ) )
% 5.55/5.78 @ ( lam @ A_27c
% 5.55/5.78 @ ^ [V13x: $i] : ( ap @ ( ap @ V1P @ V13x ) @ V12y ) ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap
% 5.55/5.78 @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__GAP @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ A_27c )
% 5.55/5.78 @ ( lam @ ( ty_2Epair_2Eprod @ A_27a @ A_27b )
% 5.55/5.78 @ ^ [V14fv: $i] : ( ap @ ( ap @ V0iy @ ( ap @ ( c_2Epair_2EFST @ A_27a @ A_27b ) @ V14fv ) ) @ ( ap @ ( c_2Epair_2ESND @ A_27a @ A_27b ) @ V14fv ) ) ) )
% 5.55/5.78 @ ( lam @ A_27c
% 5.55/5.78 @ ^ [V15x: $i] :
% 5.55/5.78 ( ap @ ( c_2Ebool_2E_3F @ A_27a )
% 5.55/5.78 @ ( lam @ A_27a
% 5.55/5.78 @ ^ [V16y: $i] : ( ap @ ( ap @ V1P @ V15x ) @ V16y ) ) ) ) ) ) )
% 5.55/5.78 & ( ! [V17y: $i] :
% 5.55/5.78 ( ( mem @ V17y @ A_27a )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__GAP @ A_27b @ A_27c ) @ ( ap @ V0iy @ V17y ) )
% 5.55/5.78 @ ( lam @ A_27c
% 5.55/5.78 @ ^ [V18x: $i] : ( ap @ ( ap @ V1P @ V18x ) @ V17y ) ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap
% 5.55/5.78 @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__GAP @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ A_27c )
% 5.55/5.78 @ ( lam @ ( ty_2Epair_2Eprod @ A_27a @ A_27b )
% 5.55/5.78 @ ^ [V19fv: $i] : ( ap @ ( ap @ V0iy @ ( ap @ ( c_2Epair_2EFST @ A_27a @ A_27b ) @ V19fv ) ) @ ( ap @ ( c_2Epair_2ESND @ A_27a @ A_27b ) @ V19fv ) ) ) )
% 5.55/5.78 @ ( lam @ A_27c
% 5.55/5.78 @ ^ [V20x: $i] :
% 5.55/5.78 ( ap @ ( c_2Ebool_2E_3F @ A_27a )
% 5.55/5.78 @ ( lam @ A_27a
% 5.55/5.78 @ ^ [V21y: $i] : ( ap @ ( ap @ V1P @ V20x ) @ V21y ) ) ) ) ) ) ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2EGUESS__RULES__EXISTS______NEW__FV__1,axiom,
% 5.55/5.78 ! [A_27a: del,A_27c: del,V0i: $i] :
% 5.55/5.78 ( ( mem @ V0i @ ( arr @ A_27a @ A_27c ) )
% 5.55/5.78 => ! [V1P: $i] :
% 5.55/5.78 ( ( mem @ V1P @ ( arr @ A_27c @ ( arr @ A_27a @ bool ) ) )
% 5.55/5.78 => ( ( ! [V2y: $i] :
% 5.55/5.78 ( ( mem @ V2y @ A_27a )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap
% 5.55/5.78 @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__POINT @ ty_2Eone_2Eone @ A_27c )
% 5.55/5.78 @ ( lam @ ty_2Eone_2Eone
% 5.55/5.78 @ ^ [V3xxx: $i] : ( ap @ V0i @ V2y ) ) )
% 5.55/5.78 @ ( lam @ A_27c
% 5.55/5.78 @ ^ [V4x: $i] : ( ap @ ( ap @ V1P @ V4x ) @ V2y ) ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__POINT @ A_27a @ A_27c ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27c
% 5.55/5.78 @ ^ [V5x: $i] :
% 5.55/5.78 ( ap @ ( c_2Ebool_2E_3F @ A_27a )
% 5.55/5.78 @ ( lam @ A_27a
% 5.55/5.78 @ ^ [V6y: $i] : ( ap @ ( ap @ V1P @ V5x ) @ V6y ) ) ) ) ) ) )
% 5.55/5.78 & ( ! [V7y: $i] :
% 5.55/5.78 ( ( mem @ V7y @ A_27a )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap
% 5.55/5.78 @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS @ ty_2Eone_2Eone @ A_27c )
% 5.55/5.78 @ ( lam @ ty_2Eone_2Eone
% 5.55/5.78 @ ^ [V8xxx: $i] : ( ap @ V0i @ V7y ) ) )
% 5.55/5.78 @ ( lam @ A_27c
% 5.55/5.78 @ ^ [V9x: $i] : ( ap @ ( ap @ V1P @ V9x ) @ V7y ) ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS @ A_27a @ A_27c ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27c
% 5.55/5.78 @ ^ [V10x: $i] :
% 5.55/5.78 ( ap @ ( c_2Ebool_2E_3F @ A_27a )
% 5.55/5.78 @ ( lam @ A_27a
% 5.55/5.78 @ ^ [V11y: $i] : ( ap @ ( ap @ V1P @ V10x ) @ V11y ) ) ) ) ) ) )
% 5.55/5.78 & ( ! [V12y: $i] :
% 5.55/5.78 ( ( mem @ V12y @ A_27a )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap
% 5.55/5.78 @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__GAP @ ty_2Eone_2Eone @ A_27c )
% 5.55/5.78 @ ( lam @ ty_2Eone_2Eone
% 5.55/5.78 @ ^ [V13xxx: $i] : ( ap @ V0i @ V12y ) ) )
% 5.55/5.78 @ ( lam @ A_27c
% 5.55/5.78 @ ^ [V14x: $i] : ( ap @ ( ap @ V1P @ V14x ) @ V12y ) ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__GAP @ A_27a @ A_27c ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27c
% 5.55/5.78 @ ^ [V15x: $i] :
% 5.55/5.78 ( ap @ ( c_2Ebool_2E_3F @ A_27a )
% 5.55/5.78 @ ( lam @ A_27a
% 5.55/5.78 @ ^ [V16y: $i] : ( ap @ ( ap @ V1P @ V15x ) @ V16y ) ) ) ) ) ) )
% 5.55/5.78 & ( ! [V17y: $i] :
% 5.55/5.78 ( ( mem @ V17y @ A_27a )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap
% 5.55/5.78 @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__GAP @ ty_2Eone_2Eone @ A_27c )
% 5.55/5.78 @ ( lam @ ty_2Eone_2Eone
% 5.55/5.78 @ ^ [V18xxx: $i] : ( ap @ V0i @ V17y ) ) )
% 5.55/5.78 @ ( lam @ A_27c
% 5.55/5.78 @ ^ [V19x: $i] : ( ap @ ( ap @ V1P @ V19x ) @ V17y ) ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__GAP @ A_27a @ A_27c ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27c
% 5.55/5.78 @ ^ [V20x: $i] :
% 5.55/5.78 ( ap @ ( c_2Ebool_2E_3F @ A_27a )
% 5.55/5.78 @ ( lam @ A_27a
% 5.55/5.78 @ ^ [V21y: $i] : ( ap @ ( ap @ V1P @ V20x ) @ V21y ) ) ) ) ) ) ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2EGUESS__RULES__EXISTS,axiom,
% 5.55/5.78 ! [A_27a: del,A_27b: del,A_27c: del,V0i: $i] :
% 5.55/5.78 ( ( mem @ V0i @ ( arr @ A_27b @ A_27c ) )
% 5.55/5.78 => ! [V1P: $i] :
% 5.55/5.78 ( ( mem @ V1P @ ( arr @ A_27c @ ( arr @ A_27a @ bool ) ) )
% 5.55/5.78 => ! [V2iK: $i] :
% 5.55/5.78 ( ( mem @ V2iK @ A_27c )
% 5.55/5.78 => ( ( ! [V3y: $i] :
% 5.55/5.78 ( ( mem @ V3y @ A_27a )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__POINT @ A_27b @ A_27c ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27c
% 5.55/5.78 @ ^ [V4x: $i] : ( ap @ ( ap @ V1P @ V4x ) @ V3y ) ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__POINT @ A_27b @ A_27c ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27c
% 5.55/5.78 @ ^ [V5x: $i] :
% 5.55/5.78 ( ap @ ( c_2Ebool_2E_3F @ A_27a )
% 5.55/5.78 @ ( lam @ A_27a
% 5.55/5.78 @ ^ [V6y: $i] : ( ap @ ( ap @ V1P @ V5x ) @ V6y ) ) ) ) ) ) )
% 5.55/5.78 & ( ! [V7y: $i] :
% 5.55/5.78 ( ( mem @ V7y @ A_27a )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS @ A_27b @ A_27c ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27c
% 5.55/5.78 @ ^ [V8x: $i] : ( ap @ ( ap @ V1P @ V8x ) @ V7y ) ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS @ A_27b @ A_27c ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27c
% 5.55/5.78 @ ^ [V9x: $i] :
% 5.55/5.78 ( ap @ ( c_2Ebool_2E_3F @ A_27a )
% 5.55/5.78 @ ( lam @ A_27a
% 5.55/5.78 @ ^ [V10y: $i] : ( ap @ ( ap @ V1P @ V9x ) @ V10y ) ) ) ) ) ) )
% 5.55/5.78 & ( ! [V11y: $i] :
% 5.55/5.78 ( ( mem @ V11y @ A_27a )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__GAP @ A_27b @ A_27c ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27c
% 5.55/5.78 @ ^ [V12x: $i] : ( ap @ ( ap @ V1P @ V12x ) @ V11y ) ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__GAP @ A_27b @ A_27c ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27c
% 5.55/5.78 @ ^ [V13x: $i] :
% 5.55/5.78 ( ap @ ( c_2Ebool_2E_3F @ A_27a )
% 5.55/5.78 @ ( lam @ A_27a
% 5.55/5.78 @ ^ [V14y: $i] : ( ap @ ( ap @ V1P @ V13x ) @ V14y ) ) ) ) ) ) )
% 5.55/5.78 & ( ! [V15y: $i] :
% 5.55/5.78 ( ( mem @ V15y @ A_27a )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ A_27b @ A_27c ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27c
% 5.55/5.78 @ ^ [V16x: $i] : ( ap @ ( ap @ V1P @ V16x ) @ V15y ) ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ A_27b @ A_27c ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27c
% 5.55/5.78 @ ^ [V17x: $i] :
% 5.55/5.78 ( ap @ ( c_2Ebool_2E_3F @ A_27a )
% 5.55/5.78 @ ( lam @ A_27a
% 5.55/5.78 @ ^ [V18y: $i] : ( ap @ ( ap @ V1P @ V17x ) @ V18y ) ) ) ) ) ) )
% 5.55/5.78 & ( ! [V19y: $i] :
% 5.55/5.78 ( ( mem @ V19y @ A_27a )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap
% 5.55/5.78 @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL @ ty_2Eone_2Eone @ A_27c )
% 5.55/5.78 @ ( lam @ ty_2Eone_2Eone
% 5.55/5.78 @ ^ [V20xxx: $i] : V2iK ) )
% 5.55/5.78 @ ( lam @ A_27c
% 5.55/5.78 @ ^ [V21x: $i] : ( ap @ ( ap @ V1P @ V21x ) @ V19y ) ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap
% 5.55/5.78 @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL @ ty_2Eone_2Eone @ A_27c )
% 5.55/5.78 @ ( lam @ ty_2Eone_2Eone
% 5.55/5.78 @ ^ [V22xxx: $i] : V2iK ) )
% 5.55/5.78 @ ( lam @ A_27c
% 5.55/5.78 @ ^ [V23x: $i] :
% 5.55/5.78 ( ap @ ( c_2Ebool_2E_3F @ A_27a )
% 5.55/5.78 @ ( lam @ A_27a
% 5.55/5.78 @ ^ [V24y: $i] : ( ap @ ( ap @ V1P @ V23x ) @ V24y ) ) ) ) ) ) )
% 5.55/5.78 & ( ! [V25y: $i] :
% 5.55/5.78 ( ( mem @ V25y @ A_27a )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__GAP @ A_27b @ A_27c ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27c
% 5.55/5.78 @ ^ [V26x: $i] : ( ap @ ( ap @ V1P @ V26x ) @ V25y ) ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__GAP @ A_27b @ A_27c ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27c
% 5.55/5.78 @ ^ [V27x: $i] :
% 5.55/5.78 ( ap @ ( c_2Ebool_2E_3F @ A_27a )
% 5.55/5.78 @ ( lam @ A_27a
% 5.55/5.78 @ ^ [V28y: $i] : ( ap @ ( ap @ V1P @ V27x ) @ V28y ) ) ) ) ) ) ) ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2EGUESS__RULES__EXISTS__UNIQUE,axiom,
% 5.55/5.78 ! [A_27a: del,A_27b: del,A_27c: del,V0i: $i] :
% 5.55/5.78 ( ( mem @ V0i @ ( arr @ A_27b @ A_27c ) )
% 5.55/5.78 => ! [V1P: $i] :
% 5.55/5.78 ( ( mem @ V1P @ ( arr @ A_27c @ ( arr @ A_27a @ bool ) ) )
% 5.55/5.78 => ( ( ! [V2y: $i] :
% 5.55/5.78 ( ( mem @ V2y @ A_27a )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ A_27b @ A_27c ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27c
% 5.55/5.78 @ ^ [V3x: $i] : ( ap @ ( ap @ V1P @ V3x ) @ V2y ) ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ A_27b @ A_27c ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27c
% 5.55/5.78 @ ^ [V4x: $i] :
% 5.55/5.78 ( ap @ ( c_2Ebool_2E_3F_21 @ A_27a )
% 5.55/5.78 @ ( lam @ A_27a
% 5.55/5.78 @ ^ [V5y: $i] : ( ap @ ( ap @ V1P @ V4x ) @ V5y ) ) ) ) ) ) )
% 5.55/5.78 & ( ! [V6y: $i] :
% 5.55/5.78 ( ( mem @ V6y @ A_27a )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__GAP @ A_27b @ A_27c ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27c
% 5.55/5.78 @ ^ [V7x: $i] : ( ap @ ( ap @ V1P @ V7x ) @ V6y ) ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__GAP @ A_27b @ A_27c ) @ V0i )
% 5.55/5.78 @ ( lam @ A_27c
% 5.55/5.78 @ ^ [V8x: $i] :
% 5.55/5.78 ( ap @ ( c_2Ebool_2E_3F_21 @ A_27a )
% 5.55/5.78 @ ( lam @ A_27a
% 5.55/5.78 @ ^ [V9y: $i] : ( ap @ ( ap @ V1P @ V8x ) @ V9y ) ) ) ) ) ) ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2EGUESS__RULES__ELIM__UNIT,axiom,
% 5.55/5.78 ! [A_27a: del,A_27b: del,V0i: $i] :
% 5.55/5.78 ( ( mem @ V0i @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ ty_2Eone_2Eone ) @ A_27b ) )
% 5.55/5.78 => ! [V1vt: $i] :
% 5.55/5.78 ( ( mem @ V1vt @ ( arr @ A_27b @ bool ) )
% 5.55/5.78 => ( ( ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ ( ty_2Epair_2Eprod @ A_27a @ ty_2Eone_2Eone ) @ A_27b ) @ V0i ) @ V1vt ) )
% 5.55/5.78 <=> ( p
% 5.55/5.78 @ ( ap
% 5.55/5.78 @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ A_27a @ A_27b )
% 5.55/5.78 @ ( lam @ A_27a
% 5.55/5.78 @ ^ [V2x: $i] : ( ap @ V0i @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ ty_2Eone_2Eone ) @ V2x ) @ ( inj__ty_2Eone_2Eone @ fo__c_2Eone_2Eone ) ) ) ) )
% 5.55/5.78 @ V1vt ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__POINT @ ( ty_2Epair_2Eprod @ A_27a @ ty_2Eone_2Eone ) @ A_27b ) @ V0i ) @ V1vt ) )
% 5.55/5.78 <=> ( p
% 5.55/5.78 @ ( ap
% 5.55/5.78 @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__POINT @ A_27a @ A_27b )
% 5.55/5.78 @ ( lam @ A_27a
% 5.55/5.78 @ ^ [V3x: $i] : ( ap @ V0i @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ ty_2Eone_2Eone ) @ V3x ) @ ( inj__ty_2Eone_2Eone @ fo__c_2Eone_2Eone ) ) ) ) )
% 5.55/5.78 @ V1vt ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS @ ( ty_2Epair_2Eprod @ A_27a @ ty_2Eone_2Eone ) @ A_27b ) @ V0i ) @ V1vt ) )
% 5.55/5.78 <=> ( p
% 5.55/5.78 @ ( ap
% 5.55/5.78 @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS @ A_27a @ A_27b )
% 5.55/5.78 @ ( lam @ A_27a
% 5.55/5.78 @ ^ [V4x: $i] : ( ap @ V0i @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ ty_2Eone_2Eone ) @ V4x ) @ ( inj__ty_2Eone_2Eone @ fo__c_2Eone_2Eone ) ) ) ) )
% 5.55/5.78 @ V1vt ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL @ ( ty_2Epair_2Eprod @ A_27a @ ty_2Eone_2Eone ) @ A_27b ) @ V0i ) @ V1vt ) )
% 5.55/5.78 <=> ( p
% 5.55/5.78 @ ( ap
% 5.55/5.78 @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL @ A_27a @ A_27b )
% 5.55/5.78 @ ( lam @ A_27a
% 5.55/5.78 @ ^ [V5x: $i] : ( ap @ V0i @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ ty_2Eone_2Eone ) @ V5x ) @ ( inj__ty_2Eone_2Eone @ fo__c_2Eone_2Eone ) ) ) ) )
% 5.55/5.78 @ V1vt ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__GAP @ ( ty_2Epair_2Eprod @ A_27a @ ty_2Eone_2Eone ) @ A_27b ) @ V0i ) @ V1vt ) )
% 5.55/5.78 <=> ( p
% 5.55/5.78 @ ( ap
% 5.55/5.78 @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__GAP @ A_27a @ A_27b )
% 5.55/5.78 @ ( lam @ A_27a
% 5.55/5.78 @ ^ [V6x: $i] : ( ap @ V0i @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ ty_2Eone_2Eone ) @ V6x ) @ ( inj__ty_2Eone_2Eone @ fo__c_2Eone_2Eone ) ) ) ) )
% 5.55/5.78 @ V1vt ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__GAP @ ( ty_2Epair_2Eprod @ A_27a @ ty_2Eone_2Eone ) @ A_27b ) @ V0i ) @ V1vt ) )
% 5.55/5.78 <=> ( p
% 5.55/5.78 @ ( ap
% 5.55/5.78 @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__GAP @ A_27a @ A_27b )
% 5.55/5.78 @ ( lam @ A_27a
% 5.55/5.78 @ ^ [V7x: $i] : ( ap @ V0i @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ ty_2Eone_2Eone ) @ V7x ) @ ( inj__ty_2Eone_2Eone @ fo__c_2Eone_2Eone ) ) ) ) )
% 5.55/5.78 @ V1vt ) ) ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2EGUESS__RULES__STRENGTHEN__EXISTS__POINT,axiom,
% 5.55/5.78 ! [A_27a: del,A_27b: del,V0i: $i] :
% 5.55/5.78 ( ( mem @ V0i @ ( arr @ A_27b @ A_27a ) )
% 5.55/5.78 => ! [V1P: $i] :
% 5.55/5.78 ( ( mem @ V1P @ ( arr @ A_27a @ bool ) )
% 5.55/5.78 => ! [V2Q: $i] :
% 5.55/5.78 ( ( mem @ V2Q @ ( arr @ A_27a @ bool ) )
% 5.55/5.78 => ( ! [V3x: $i] :
% 5.55/5.78 ( ( mem @ V3x @ A_27a )
% 5.55/5.78 => ( ( p @ ( ap @ V1P @ V3x ) )
% 5.55/5.78 => ( p @ ( ap @ V2Q @ V3x ) ) ) )
% 5.55/5.78 => ( ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__POINT @ A_27b @ A_27a ) @ V0i ) @ V1P ) )
% 5.55/5.78 => ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__POINT @ A_27b @ A_27a ) @ V0i ) @ V2Q ) ) ) ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2EGUESS__RULES__STRENGTHEN__FORALL__GAP,axiom,
% 5.55/5.78 ! [A_27a: del,A_27b: del,V0i: $i] :
% 5.55/5.78 ( ( mem @ V0i @ ( arr @ A_27b @ A_27a ) )
% 5.55/5.78 => ! [V1P: $i] :
% 5.55/5.78 ( ( mem @ V1P @ ( arr @ A_27a @ bool ) )
% 5.55/5.78 => ! [V2Q: $i] :
% 5.55/5.78 ( ( mem @ V2Q @ ( arr @ A_27a @ bool ) )
% 5.55/5.78 => ( ! [V3x: $i] :
% 5.55/5.78 ( ( mem @ V3x @ A_27a )
% 5.55/5.78 => ( ( p @ ( ap @ V1P @ V3x ) )
% 5.55/5.78 => ( p @ ( ap @ V2Q @ V3x ) ) ) )
% 5.55/5.78 => ( ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__GAP @ A_27b @ A_27a ) @ V0i ) @ V1P ) )
% 5.55/5.78 => ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__GAP @ A_27b @ A_27a ) @ V0i ) @ V2Q ) ) ) ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2EGUESS__RULES__WEAKEN__FORALL__POINT,axiom,
% 5.55/5.78 ! [A_27a: del,A_27b: del,V0i: $i] :
% 5.55/5.78 ( ( mem @ V0i @ ( arr @ A_27b @ A_27a ) )
% 5.55/5.78 => ! [V1P: $i] :
% 5.55/5.78 ( ( mem @ V1P @ ( arr @ A_27a @ bool ) )
% 5.55/5.78 => ! [V2Q: $i] :
% 5.55/5.78 ( ( mem @ V2Q @ ( arr @ A_27a @ bool ) )
% 5.55/5.78 => ( ! [V3x: $i] :
% 5.55/5.78 ( ( mem @ V3x @ A_27a )
% 5.55/5.78 => ( ( p @ ( ap @ V2Q @ V3x ) )
% 5.55/5.78 => ( p @ ( ap @ V1P @ V3x ) ) ) )
% 5.55/5.78 => ( ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ A_27b @ A_27a ) @ V0i ) @ V1P ) )
% 5.55/5.78 => ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ A_27b @ A_27a ) @ V0i ) @ V2Q ) ) ) ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2EGUESS__RULES__WEAKEN__EXISTS__GAP,axiom,
% 5.55/5.78 ! [A_27a: del,A_27b: del,V0i: $i] :
% 5.55/5.78 ( ( mem @ V0i @ ( arr @ A_27b @ A_27a ) )
% 5.55/5.78 => ! [V1P: $i] :
% 5.55/5.78 ( ( mem @ V1P @ ( arr @ A_27a @ bool ) )
% 5.55/5.78 => ! [V2Q: $i] :
% 5.55/5.78 ( ( mem @ V2Q @ ( arr @ A_27a @ bool ) )
% 5.55/5.78 => ( ! [V3x: $i] :
% 5.55/5.78 ( ( mem @ V3x @ A_27a )
% 5.55/5.78 => ( ( p @ ( ap @ V2Q @ V3x ) )
% 5.55/5.78 => ( p @ ( ap @ V1P @ V3x ) ) ) )
% 5.55/5.78 => ( ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__GAP @ A_27b @ A_27a ) @ V0i ) @ V1P ) )
% 5.55/5.78 => ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__GAP @ A_27b @ A_27a ) @ V0i ) @ V2Q ) ) ) ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2ECONJ__NOT__OR__THM,axiom,
% 5.55/5.78 ! [V0A: $i] :
% 5.55/5.78 ( ( mem @ V0A @ bool )
% 5.55/5.78 => ! [V1B: $i] :
% 5.55/5.78 ( ( mem @ V1B @ bool )
% 5.55/5.78 => ( ( ( p @ V0A )
% 5.55/5.78 & ( p @ V1B ) )
% 5.55/5.78 <=> ~ ( ~ ( p @ V0A )
% 5.55/5.78 | ~ ( p @ V1B ) ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2EEXISTS__NOT__FORALL__THM,axiom,
% 5.55/5.78 ! [A_27a: del,V0P: $i] :
% 5.55/5.78 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.78 => ( ? [V1x: $i] :
% 5.55/5.78 ( ( mem @ V1x @ A_27a )
% 5.55/5.78 & ( p @ ( ap @ V0P @ V1x ) ) )
% 5.55/5.78 <=> ~ ! [V2x: $i] :
% 5.55/5.78 ( ( mem @ V2x @ A_27a )
% 5.55/5.78 => ~ ( p @ ( ap @ V0P @ V2x ) ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2EMOVE__EXISTS__IMP__THM,axiom,
% 5.55/5.78 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.55/5.78 ( ( mem @ V0P @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.55/5.78 => ! [V1R: $i] :
% 5.55/5.78 ( ( mem @ V1R @ ( arr @ A_27b @ bool ) )
% 5.55/5.78 => ! [V2Q: $i] :
% 5.55/5.78 ( ( mem @ V2Q @ ( arr @ A_27a @ bool ) )
% 5.55/5.78 => ( ? [V3x: $i] :
% 5.55/5.78 ( ( mem @ V3x @ A_27a )
% 5.55/5.78 & ( ! [V4y: $i] :
% 5.55/5.78 ( ( mem @ V4y @ A_27b )
% 5.55/5.78 => ( ~ ( p @ ( ap @ ( ap @ V0P @ V3x ) @ V4y ) )
% 5.55/5.78 => ( p @ ( ap @ V1R @ V4y ) ) ) )
% 5.55/5.78 => ( p @ ( ap @ V2Q @ V3x ) ) ) )
% 5.55/5.78 <=> ( ! [V5y: $i] :
% 5.55/5.78 ( ( mem @ V5y @ A_27b )
% 5.55/5.78 => ( ~ ! [V6x: $i] :
% 5.55/5.78 ( ( mem @ V6x @ A_27a )
% 5.55/5.78 => ( p @ ( ap @ ( ap @ V0P @ V6x ) @ V5y ) ) )
% 5.55/5.78 => ( p @ ( ap @ V1R @ V5y ) ) ) )
% 5.55/5.78 => ? [V7x: $i] :
% 5.55/5.78 ( ( mem @ V7x @ A_27a )
% 5.55/5.78 & ( p @ ( ap @ V2Q @ V7x ) ) ) ) ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2EUNWIND__EXISTS__THM,axiom,
% 5.55/5.78 ! [A_27a: del,V0a: $i] :
% 5.55/5.78 ( ( mem @ V0a @ A_27a )
% 5.55/5.78 => ! [V1P: $i] :
% 5.55/5.78 ( ( mem @ V1P @ ( arr @ A_27a @ bool ) )
% 5.55/5.78 => ( ? [V2x: $i] :
% 5.55/5.78 ( ( mem @ V2x @ A_27a )
% 5.55/5.78 & ( p @ ( ap @ V1P @ V2x ) ) )
% 5.55/5.78 <=> ( ! [V3x: $i] :
% 5.55/5.78 ( ( mem @ V3x @ A_27a )
% 5.55/5.78 => ( ( V3x != V0a )
% 5.55/5.78 => ~ ( p @ ( ap @ V1P @ V3x ) ) ) )
% 5.55/5.78 => ( p @ ( ap @ V1P @ V0a ) ) ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2ELEFT__IMP__AND__INTRO,axiom,
% 5.55/5.78 ! [V0x: $i] :
% 5.55/5.78 ( ( mem @ V0x @ bool )
% 5.55/5.78 => ! [V1t1: $i] :
% 5.55/5.78 ( ( mem @ V1t1 @ bool )
% 5.55/5.78 => ! [V2t2: $i] :
% 5.55/5.78 ( ( mem @ V2t2 @ bool )
% 5.55/5.78 => ( ( ( p @ V1t1 )
% 5.55/5.78 => ( p @ V2t2 ) )
% 5.55/5.78 => ( ( ( p @ V0x )
% 5.55/5.78 & ( p @ V1t1 ) )
% 5.55/5.78 => ( ( p @ V0x )
% 5.55/5.78 & ( p @ V2t2 ) ) ) ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2ERIGHT__IMP__AND__INTRO,axiom,
% 5.55/5.78 ! [V0x: $i] :
% 5.55/5.78 ( ( mem @ V0x @ bool )
% 5.55/5.78 => ! [V1t1: $i] :
% 5.55/5.78 ( ( mem @ V1t1 @ bool )
% 5.55/5.78 => ! [V2t2: $i] :
% 5.55/5.78 ( ( mem @ V2t2 @ bool )
% 5.55/5.78 => ( ( ( p @ V1t1 )
% 5.55/5.78 => ( p @ V2t2 ) )
% 5.55/5.78 => ( ( ( p @ V1t1 )
% 5.55/5.78 & ( p @ V0x ) )
% 5.55/5.78 => ( ( p @ V2t2 )
% 5.55/5.78 & ( p @ V0x ) ) ) ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2ELEFT__IMP__OR__INTRO,axiom,
% 5.55/5.78 ! [V0x: $i] :
% 5.55/5.78 ( ( mem @ V0x @ bool )
% 5.55/5.78 => ! [V1t1: $i] :
% 5.55/5.78 ( ( mem @ V1t1 @ bool )
% 5.55/5.78 => ! [V2t2: $i] :
% 5.55/5.78 ( ( mem @ V2t2 @ bool )
% 5.55/5.78 => ( ( ( p @ V1t1 )
% 5.55/5.78 => ( p @ V2t2 ) )
% 5.55/5.78 => ( ( ( p @ V0x )
% 5.55/5.78 | ( p @ V1t1 ) )
% 5.55/5.78 => ( ( p @ V0x )
% 5.55/5.78 | ( p @ V2t2 ) ) ) ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2ERIGHT__IMP__OR__INTRO,axiom,
% 5.55/5.78 ! [V0x: $i] :
% 5.55/5.78 ( ( mem @ V0x @ bool )
% 5.55/5.78 => ! [V1t1: $i] :
% 5.55/5.78 ( ( mem @ V1t1 @ bool )
% 5.55/5.78 => ! [V2t2: $i] :
% 5.55/5.78 ( ( mem @ V2t2 @ bool )
% 5.55/5.78 => ( ( ( p @ V1t1 )
% 5.55/5.78 => ( p @ V2t2 ) )
% 5.55/5.78 => ( ( ( p @ V1t1 )
% 5.55/5.78 | ( p @ V0x ) )
% 5.55/5.78 => ( ( p @ V2t2 )
% 5.55/5.78 | ( p @ V0x ) ) ) ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2EIMP__NEG__CONTRA,axiom,
% 5.55/5.78 ! [A_27a: del,V0P: $i] :
% 5.55/5.78 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.78 => ! [V1i: $i] :
% 5.55/5.78 ( ( mem @ V1i @ A_27a )
% 5.55/5.78 => ! [V2x: $i] :
% 5.55/5.78 ( ( mem @ V2x @ A_27a )
% 5.55/5.78 => ( ~ ( p @ ( ap @ V0P @ V1i ) )
% 5.55/5.78 => ( ( p @ ( ap @ V0P @ V2x ) )
% 5.55/5.78 => ( V2x != V1i ) ) ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2EDISJ__IMP__INTRO,axiom,
% 5.55/5.78 ! [A_27a: del,V0P: $i] :
% 5.55/5.78 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.78 => ! [V1Q: $i] :
% 5.55/5.78 ( ( mem @ V1Q @ ( arr @ A_27a @ bool ) )
% 5.55/5.78 => ! [V2y: $i] :
% 5.55/5.78 ( ( mem @ V2y @ A_27a )
% 5.55/5.78 => ( ! [V3x: $i] :
% 5.55/5.78 ( ( mem @ V3x @ A_27a )
% 5.55/5.78 => ( ( p @ ( ap @ V0P @ V3x ) )
% 5.55/5.78 | ( p @ ( ap @ V1Q @ V3x ) ) ) )
% 5.55/5.78 => ( ( ~ ( p @ ( ap @ V0P @ V2y ) )
% 5.55/5.78 => ( p @ ( ap @ V1Q @ V2y ) ) )
% 5.55/5.78 & ( ~ ( p @ ( ap @ V1Q @ V2y ) )
% 5.55/5.78 => ( p @ ( ap @ V0P @ V2y ) ) ) ) ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(ax_thm_2EquantHeuristics_2ESIMPLE__GUESS__EXISTS__def,axiom,
% 5.55/5.78 ! [A_27a: del,V0v: $i] :
% 5.55/5.78 ( ( mem @ V0v @ A_27a )
% 5.55/5.78 => ! [V1i: $i] :
% 5.55/5.78 ( ( mem @ V1i @ A_27a )
% 5.55/5.78 => ! [V2P: $i] :
% 5.55/5.78 ( ( mem @ V2P @ bool )
% 5.55/5.78 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2EquantHeuristics_2ESIMPLE__GUESS__EXISTS @ A_27a ) @ V0v ) @ V1i ) @ V2P ) )
% 5.55/5.78 <=> ( ( p @ V2P )
% 5.55/5.78 => ( V0v = V1i ) ) ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2ESIMPLE__GUESS__EXISTS__ALT__DEF,axiom,
% 5.55/5.78 ! [A_27a: del,V0i: $i] :
% 5.55/5.78 ( ( mem @ V0i @ A_27a )
% 5.55/5.78 => ! [V1P: $i] :
% 5.55/5.78 ( ( mem @ V1P @ ( arr @ A_27a @ bool ) )
% 5.55/5.78 => ( ! [V2v: $i] :
% 5.55/5.78 ( ( mem @ V2v @ A_27a )
% 5.55/5.78 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2EquantHeuristics_2ESIMPLE__GUESS__EXISTS @ A_27a ) @ V2v ) @ V0i ) @ ( ap @ V1P @ V2v ) ) ) )
% 5.55/5.78 <=> ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__GAP @ ty_2Eone_2Eone @ A_27a ) @ ( ap @ ( c_2Ecombin_2EK @ A_27a @ ty_2Eone_2Eone ) @ V0i ) )
% 5.55/5.78 @ ( lam @ A_27a
% 5.55/5.78 @ ^ [V3v: $i] : ( ap @ V1P @ V3v ) ) ) ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(ax_thm_2EquantHeuristics_2ESIMPLE__GUESS__FORALL__def,axiom,
% 5.55/5.78 ! [A_27a: del,V0v: $i] :
% 5.55/5.78 ( ( mem @ V0v @ A_27a )
% 5.55/5.78 => ! [V1i: $i] :
% 5.55/5.78 ( ( mem @ V1i @ A_27a )
% 5.55/5.78 => ! [V2P: $i] :
% 5.55/5.78 ( ( mem @ V2P @ bool )
% 5.55/5.78 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2EquantHeuristics_2ESIMPLE__GUESS__FORALL @ A_27a ) @ V0v ) @ V1i ) @ V2P ) )
% 5.55/5.78 <=> ( ~ ( p @ V2P )
% 5.55/5.78 => ( V0v = V1i ) ) ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2ESIMPLE__GUESS__FORALL__ALT__DEF,axiom,
% 5.55/5.78 ! [A_27a: del,V0i: $i] :
% 5.55/5.78 ( ( mem @ V0i @ A_27a )
% 5.55/5.78 => ! [V1P: $i] :
% 5.55/5.78 ( ( mem @ V1P @ ( arr @ A_27a @ bool ) )
% 5.55/5.78 => ( ! [V2v: $i] :
% 5.55/5.78 ( ( mem @ V2v @ A_27a )
% 5.55/5.78 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2EquantHeuristics_2ESIMPLE__GUESS__FORALL @ A_27a ) @ V2v ) @ V0i ) @ ( ap @ V1P @ V2v ) ) ) )
% 5.55/5.78 <=> ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__GAP @ ty_2Eone_2Eone @ A_27a ) @ ( ap @ ( c_2Ecombin_2EK @ A_27a @ ty_2Eone_2Eone ) @ V0i ) )
% 5.55/5.78 @ ( lam @ A_27a
% 5.55/5.78 @ ^ [V3v: $i] : ( ap @ V1P @ V3v ) ) ) ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2ESIMPLE__GUESS__FORALL__THM,axiom,
% 5.55/5.78 ! [A_27a: del,V0i: $i] :
% 5.55/5.78 ( ( mem @ V0i @ A_27a )
% 5.55/5.78 => ! [V1P: $i] :
% 5.55/5.78 ( ( mem @ V1P @ ( arr @ A_27a @ bool ) )
% 5.55/5.78 => ( ! [V2v: $i] :
% 5.55/5.78 ( ( mem @ V2v @ A_27a )
% 5.55/5.78 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2EquantHeuristics_2ESIMPLE__GUESS__FORALL @ A_27a ) @ V2v ) @ V0i ) @ ( ap @ V1P @ V2v ) ) ) )
% 5.55/5.78 => ( ! [V3v: $i] :
% 5.55/5.78 ( ( mem @ V3v @ A_27a )
% 5.55/5.78 => ( p @ ( ap @ V1P @ V3v ) ) )
% 5.55/5.78 <=> ( p @ ( ap @ V1P @ V0i ) ) ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2ESIMPLE__GUESS__EXISTS__THM,axiom,
% 5.55/5.78 ! [A_27a: del,V0i: $i] :
% 5.55/5.78 ( ( mem @ V0i @ A_27a )
% 5.55/5.78 => ! [V1P: $i] :
% 5.55/5.78 ( ( mem @ V1P @ ( arr @ A_27a @ bool ) )
% 5.55/5.78 => ( ! [V2v: $i] :
% 5.55/5.78 ( ( mem @ V2v @ A_27a )
% 5.55/5.78 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2EquantHeuristics_2ESIMPLE__GUESS__EXISTS @ A_27a ) @ V2v ) @ V0i ) @ ( ap @ V1P @ V2v ) ) ) )
% 5.55/5.78 => ( ? [V3v: $i] :
% 5.55/5.78 ( ( mem @ V3v @ A_27a )
% 5.55/5.78 & ( p @ ( ap @ V1P @ V3v ) ) )
% 5.55/5.78 <=> ( p @ ( ap @ V1P @ V0i ) ) ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2ESIMPLE__GUESS__UEXISTS__THM,axiom,
% 5.55/5.78 ! [A_27a: del,V0i: $i] :
% 5.55/5.78 ( ( mem @ V0i @ A_27a )
% 5.55/5.78 => ! [V1P: $i] :
% 5.55/5.78 ( ( mem @ V1P @ ( arr @ A_27a @ bool ) )
% 5.55/5.78 => ( ! [V2v: $i] :
% 5.55/5.78 ( ( mem @ V2v @ A_27a )
% 5.55/5.78 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2EquantHeuristics_2ESIMPLE__GUESS__EXISTS @ A_27a ) @ V2v ) @ V0i ) @ ( ap @ V1P @ V2v ) ) ) )
% 5.55/5.78 => ( ( p
% 5.55/5.78 @ ( ap @ ( c_2Ebool_2E_3F_21 @ A_27a )
% 5.55/5.78 @ ( lam @ A_27a
% 5.55/5.78 @ ^ [V3v: $i] : ( ap @ V1P @ V3v ) ) ) )
% 5.55/5.78 <=> ( p @ ( ap @ V1P @ V0i ) ) ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2ESIMPLE__GUESS__SELECT__THM,axiom,
% 5.55/5.78 ! [A_27a: del,V0i: $i] :
% 5.55/5.78 ( ( mem @ V0i @ A_27a )
% 5.55/5.78 => ! [V1P: $i] :
% 5.55/5.78 ( ( mem @ V1P @ ( arr @ A_27a @ bool ) )
% 5.55/5.78 => ( ! [V2v: $i] :
% 5.55/5.78 ( ( mem @ V2v @ A_27a )
% 5.55/5.78 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2EquantHeuristics_2ESIMPLE__GUESS__EXISTS @ A_27a ) @ V2v ) @ V0i ) @ ( ap @ V1P @ V2v ) ) ) )
% 5.55/5.78 => ( ( ap @ ( c_2Emin_2E_40 @ A_27a )
% 5.55/5.78 @ ( lam @ A_27a
% 5.55/5.78 @ ^ [V3v: $i] : ( ap @ V1P @ V3v ) ) )
% 5.55/5.78 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ A_27a ) @ ( ap @ V1P @ V0i ) ) @ V0i )
% 5.55/5.78 @ ( ap @ ( c_2Emin_2E_40 @ A_27a )
% 5.55/5.78 @ ( lam @ A_27a
% 5.55/5.78 @ ^ [V4v: $i] : c_2Ebool_2EF ) ) ) ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2ESIMPLE__GUESS__SOME__THM,axiom,
% 5.55/5.78 ! [A_27a: del,V0i: $i] :
% 5.55/5.78 ( ( mem @ V0i @ A_27a )
% 5.55/5.78 => ! [V1P: $i] :
% 5.55/5.78 ( ( mem @ V1P @ ( arr @ A_27a @ bool ) )
% 5.55/5.78 => ( ! [V2v: $i] :
% 5.55/5.78 ( ( mem @ V2v @ A_27a )
% 5.55/5.78 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2EquantHeuristics_2ESIMPLE__GUESS__EXISTS @ A_27a ) @ V2v ) @ V0i ) @ ( ap @ V1P @ V2v ) ) ) )
% 5.55/5.78 => ( ( ap @ ( c_2Eoption_2Esome @ A_27a )
% 5.55/5.78 @ ( lam @ A_27a
% 5.55/5.78 @ ^ [V3v: $i] : ( ap @ V1P @ V3v ) ) )
% 5.55/5.78 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ ( ap @ V1P @ V0i ) ) @ ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V0i ) ) @ ( c_2Eoption_2ENONE @ A_27a ) ) ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2ESIMPLE__GUESS__EXISTS__EQ__1,axiom,
% 5.55/5.78 ! [A_27a: del,V0v: $i] :
% 5.55/5.78 ( ( mem @ V0v @ A_27a )
% 5.55/5.78 => ! [V1i: $i] :
% 5.55/5.78 ( ( mem @ V1i @ A_27a )
% 5.55/5.78 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2EquantHeuristics_2ESIMPLE__GUESS__EXISTS @ A_27a ) @ V0v ) @ V1i ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V0v ) @ V1i ) ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2ESIMPLE__GUESS__EXISTS__EQ__2,axiom,
% 5.55/5.78 ! [A_27a: del,V0v: $i] :
% 5.55/5.78 ( ( mem @ V0v @ A_27a )
% 5.55/5.78 => ! [V1i: $i] :
% 5.55/5.78 ( ( mem @ V1i @ A_27a )
% 5.55/5.78 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2EquantHeuristics_2ESIMPLE__GUESS__EXISTS @ A_27a ) @ V0v ) @ V1i ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V1i ) @ V0v ) ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2ESIMPLE__GUESS__EXISTS__EQ__T,axiom,
% 5.55/5.78 ! [V0v: $i] :
% 5.55/5.78 ( ( mem @ V0v @ bool )
% 5.55/5.78 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2EquantHeuristics_2ESIMPLE__GUESS__EXISTS @ bool ) @ V0v ) @ c_2Ebool_2ET ) @ V0v ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2ESIMPLE__GUESS__FORALL__NEG,axiom,
% 5.55/5.78 ! [A_27a: del,V0v: $i] :
% 5.55/5.78 ( ( mem @ V0v @ A_27a )
% 5.55/5.78 => ! [V1i: $i] :
% 5.55/5.78 ( ( mem @ V1i @ A_27a )
% 5.55/5.78 => ! [V2P: $i] :
% 5.55/5.78 ( ( mem @ V2P @ bool )
% 5.55/5.78 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2EquantHeuristics_2ESIMPLE__GUESS__EXISTS @ A_27a ) @ V0v ) @ V1i ) @ V2P ) )
% 5.55/5.78 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2EquantHeuristics_2ESIMPLE__GUESS__FORALL @ A_27a ) @ V0v ) @ V1i ) @ ( ap @ c_2Ebool_2E_7E @ V2P ) ) ) ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2ESIMPLE__GUESS__EXISTS__NEG,axiom,
% 5.55/5.78 ! [A_27a: del,V0v: $i] :
% 5.55/5.78 ( ( mem @ V0v @ A_27a )
% 5.55/5.78 => ! [V1i: $i] :
% 5.55/5.78 ( ( mem @ V1i @ A_27a )
% 5.55/5.78 => ! [V2P: $i] :
% 5.55/5.78 ( ( mem @ V2P @ bool )
% 5.55/5.78 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2EquantHeuristics_2ESIMPLE__GUESS__FORALL @ A_27a ) @ V0v ) @ V1i ) @ V2P ) )
% 5.55/5.78 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2EquantHeuristics_2ESIMPLE__GUESS__EXISTS @ A_27a ) @ V0v ) @ V1i ) @ ( ap @ c_2Ebool_2E_7E @ V2P ) ) ) ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2ESIMPLE__GUESS__FORALL__OR__1,axiom,
% 5.55/5.78 ! [A_27a: del,V0v: $i] :
% 5.55/5.78 ( ( mem @ V0v @ A_27a )
% 5.55/5.78 => ! [V1i: $i] :
% 5.55/5.78 ( ( mem @ V1i @ A_27a )
% 5.55/5.78 => ! [V2P1: $i] :
% 5.55/5.78 ( ( mem @ V2P1 @ bool )
% 5.55/5.78 => ! [V3P2: $i] :
% 5.55/5.78 ( ( mem @ V3P2 @ bool )
% 5.55/5.78 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2EquantHeuristics_2ESIMPLE__GUESS__FORALL @ A_27a ) @ V0v ) @ V1i ) @ V2P1 ) )
% 5.55/5.78 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2EquantHeuristics_2ESIMPLE__GUESS__FORALL @ A_27a ) @ V0v ) @ V1i ) @ ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ V2P1 ) @ V3P2 ) ) ) ) ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2ESIMPLE__GUESS__FORALL__OR__2,axiom,
% 5.55/5.78 ! [A_27a: del,V0v: $i] :
% 5.55/5.78 ( ( mem @ V0v @ A_27a )
% 5.55/5.78 => ! [V1i: $i] :
% 5.55/5.78 ( ( mem @ V1i @ A_27a )
% 5.55/5.78 => ! [V2P1: $i] :
% 5.55/5.78 ( ( mem @ V2P1 @ bool )
% 5.55/5.78 => ! [V3P2: $i] :
% 5.55/5.78 ( ( mem @ V3P2 @ bool )
% 5.55/5.78 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2EquantHeuristics_2ESIMPLE__GUESS__FORALL @ A_27a ) @ V0v ) @ V1i ) @ V3P2 ) )
% 5.55/5.78 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2EquantHeuristics_2ESIMPLE__GUESS__FORALL @ A_27a ) @ V0v ) @ V1i ) @ ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ V2P1 ) @ V3P2 ) ) ) ) ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2ESIMPLE__GUESS__EXISTS__AND__1,axiom,
% 5.55/5.78 ! [A_27a: del,V0v: $i] :
% 5.55/5.78 ( ( mem @ V0v @ A_27a )
% 5.55/5.78 => ! [V1i: $i] :
% 5.55/5.78 ( ( mem @ V1i @ A_27a )
% 5.55/5.78 => ! [V2P1: $i] :
% 5.55/5.78 ( ( mem @ V2P1 @ bool )
% 5.55/5.78 => ! [V3P2: $i] :
% 5.55/5.78 ( ( mem @ V3P2 @ bool )
% 5.55/5.78 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2EquantHeuristics_2ESIMPLE__GUESS__EXISTS @ A_27a ) @ V0v ) @ V1i ) @ V2P1 ) )
% 5.55/5.78 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2EquantHeuristics_2ESIMPLE__GUESS__EXISTS @ A_27a ) @ V0v ) @ V1i ) @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ V2P1 ) @ V3P2 ) ) ) ) ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2ESIMPLE__GUESS__EXISTS__AND__2,axiom,
% 5.55/5.78 ! [A_27a: del,V0v: $i] :
% 5.55/5.78 ( ( mem @ V0v @ A_27a )
% 5.55/5.78 => ! [V1i: $i] :
% 5.55/5.78 ( ( mem @ V1i @ A_27a )
% 5.55/5.78 => ! [V2P1: $i] :
% 5.55/5.78 ( ( mem @ V2P1 @ bool )
% 5.55/5.78 => ! [V3P2: $i] :
% 5.55/5.78 ( ( mem @ V3P2 @ bool )
% 5.55/5.78 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2EquantHeuristics_2ESIMPLE__GUESS__EXISTS @ A_27a ) @ V0v ) @ V1i ) @ V3P2 ) )
% 5.55/5.78 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2EquantHeuristics_2ESIMPLE__GUESS__EXISTS @ A_27a ) @ V0v ) @ V1i ) @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ V2P1 ) @ V3P2 ) ) ) ) ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2ESIMPLE__GUESS__EXISTS__EXISTS,axiom,
% 5.55/5.78 ! [A_27a: del,A_27b: del,V0v: $i] :
% 5.55/5.78 ( ( mem @ V0v @ A_27a )
% 5.55/5.78 => ! [V1i: $i] :
% 5.55/5.78 ( ( mem @ V1i @ A_27a )
% 5.55/5.78 => ! [V2P: $i] :
% 5.55/5.78 ( ( mem @ V2P @ ( arr @ A_27b @ bool ) )
% 5.55/5.78 => ( ! [V3v2: $i] :
% 5.55/5.78 ( ( mem @ V3v2 @ A_27b )
% 5.55/5.78 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2EquantHeuristics_2ESIMPLE__GUESS__EXISTS @ A_27a ) @ V0v ) @ V1i ) @ ( ap @ V2P @ V3v2 ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( ap @ ( c_2EquantHeuristics_2ESIMPLE__GUESS__EXISTS @ A_27a ) @ V0v ) @ V1i )
% 5.55/5.78 @ ( ap @ ( c_2Ebool_2E_3F @ A_27b )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V4v2: $i] : ( ap @ V2P @ V4v2 ) ) ) ) ) ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2ESIMPLE__GUESS__EXISTS__FORALL,axiom,
% 5.55/5.78 ! [A_27a: del,A_27b: del,V0v: $i] :
% 5.55/5.78 ( ( mem @ V0v @ A_27a )
% 5.55/5.78 => ! [V1i: $i] :
% 5.55/5.78 ( ( mem @ V1i @ A_27a )
% 5.55/5.78 => ! [V2P: $i] :
% 5.55/5.78 ( ( mem @ V2P @ ( arr @ A_27b @ bool ) )
% 5.55/5.78 => ( ! [V3v2: $i] :
% 5.55/5.78 ( ( mem @ V3v2 @ A_27b )
% 5.55/5.78 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2EquantHeuristics_2ESIMPLE__GUESS__EXISTS @ A_27a ) @ V0v ) @ V1i ) @ ( ap @ V2P @ V3v2 ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( ap @ ( c_2EquantHeuristics_2ESIMPLE__GUESS__EXISTS @ A_27a ) @ V0v ) @ V1i )
% 5.55/5.78 @ ( ap @ ( c_2Ebool_2E_21 @ A_27b )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V4v2: $i] : ( ap @ V2P @ V4v2 ) ) ) ) ) ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2ESIMPLE__GUESS__FORALL__EXISTS,axiom,
% 5.55/5.78 ! [A_27a: del,A_27b: del,V0v: $i] :
% 5.55/5.78 ( ( mem @ V0v @ A_27a )
% 5.55/5.78 => ! [V1i: $i] :
% 5.55/5.78 ( ( mem @ V1i @ A_27a )
% 5.55/5.78 => ! [V2P: $i] :
% 5.55/5.78 ( ( mem @ V2P @ ( arr @ A_27b @ bool ) )
% 5.55/5.78 => ( ! [V3v2: $i] :
% 5.55/5.78 ( ( mem @ V3v2 @ A_27b )
% 5.55/5.78 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2EquantHeuristics_2ESIMPLE__GUESS__FORALL @ A_27a ) @ V0v ) @ V1i ) @ ( ap @ V2P @ V3v2 ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( ap @ ( c_2EquantHeuristics_2ESIMPLE__GUESS__FORALL @ A_27a ) @ V0v ) @ V1i )
% 5.55/5.78 @ ( ap @ ( c_2Ebool_2E_3F @ A_27b )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V4v2: $i] : ( ap @ V2P @ V4v2 ) ) ) ) ) ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2ESIMPLE__GUESS__FORALL__FORALL,axiom,
% 5.55/5.78 ! [A_27a: del,A_27b: del,V0v: $i] :
% 5.55/5.78 ( ( mem @ V0v @ A_27a )
% 5.55/5.78 => ! [V1i: $i] :
% 5.55/5.78 ( ( mem @ V1i @ A_27a )
% 5.55/5.78 => ! [V2P: $i] :
% 5.55/5.78 ( ( mem @ V2P @ ( arr @ A_27b @ bool ) )
% 5.55/5.78 => ( ! [V3v2: $i] :
% 5.55/5.78 ( ( mem @ V3v2 @ A_27b )
% 5.55/5.78 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2EquantHeuristics_2ESIMPLE__GUESS__FORALL @ A_27a ) @ V0v ) @ V1i ) @ ( ap @ V2P @ V3v2 ) ) ) )
% 5.55/5.78 => ( p
% 5.55/5.78 @ ( ap @ ( ap @ ( ap @ ( c_2EquantHeuristics_2ESIMPLE__GUESS__FORALL @ A_27a ) @ V0v ) @ V1i )
% 5.55/5.78 @ ( ap @ ( c_2Ebool_2E_21 @ A_27b )
% 5.55/5.78 @ ( lam @ A_27b
% 5.55/5.78 @ ^ [V4v2: $i] : ( ap @ V2P @ V4v2 ) ) ) ) ) ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2ESIMPLE__GUESS__FORALL__IMP__1,axiom,
% 5.55/5.78 ! [A_27a: del,V0v: $i] :
% 5.55/5.78 ( ( mem @ V0v @ A_27a )
% 5.55/5.78 => ! [V1i: $i] :
% 5.55/5.78 ( ( mem @ V1i @ A_27a )
% 5.55/5.78 => ! [V2P1: $i] :
% 5.55/5.78 ( ( mem @ V2P1 @ bool )
% 5.55/5.78 => ! [V3P2: $i] :
% 5.55/5.78 ( ( mem @ V3P2 @ bool )
% 5.55/5.78 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2EquantHeuristics_2ESIMPLE__GUESS__EXISTS @ A_27a ) @ V0v ) @ V1i ) @ V2P1 ) )
% 5.55/5.78 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2EquantHeuristics_2ESIMPLE__GUESS__FORALL @ A_27a ) @ V0v ) @ V1i ) @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ V2P1 ) @ V3P2 ) ) ) ) ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2ESIMPLE__GUESS__FORALL__IMP__2,axiom,
% 5.55/5.78 ! [A_27a: del,V0v: $i] :
% 5.55/5.78 ( ( mem @ V0v @ A_27a )
% 5.55/5.78 => ! [V1i: $i] :
% 5.55/5.78 ( ( mem @ V1i @ A_27a )
% 5.55/5.78 => ! [V2P1: $i] :
% 5.55/5.78 ( ( mem @ V2P1 @ bool )
% 5.55/5.78 => ! [V3P2: $i] :
% 5.55/5.78 ( ( mem @ V3P2 @ bool )
% 5.55/5.78 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2EquantHeuristics_2ESIMPLE__GUESS__FORALL @ A_27a ) @ V0v ) @ V1i ) @ V3P2 ) )
% 5.55/5.78 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2EquantHeuristics_2ESIMPLE__GUESS__FORALL @ A_27a ) @ V0v ) @ V1i ) @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ V2P1 ) @ V3P2 ) ) ) ) ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2ESIMPLE__GUESS__EXISTS__EQ__FUN,axiom,
% 5.55/5.78 ! [A_27a: del,A_27b: del,A_27c: del,V0v: $i] :
% 5.55/5.78 ( ( mem @ V0v @ A_27a )
% 5.55/5.78 => ! [V1i: $i] :
% 5.55/5.78 ( ( mem @ V1i @ A_27a )
% 5.55/5.78 => ! [V2t1: $i] :
% 5.55/5.78 ( ( mem @ V2t1 @ A_27b )
% 5.55/5.78 => ! [V3t2: $i] :
% 5.55/5.78 ( ( mem @ V3t2 @ A_27b )
% 5.55/5.78 => ! [V4f: $i] :
% 5.55/5.78 ( ( mem @ V4f @ ( arr @ A_27b @ A_27c ) )
% 5.55/5.78 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2EquantHeuristics_2ESIMPLE__GUESS__EXISTS @ A_27a ) @ V0v ) @ V1i ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27c ) @ ( ap @ V4f @ V2t1 ) ) @ ( ap @ V4f @ V3t2 ) ) ) )
% 5.55/5.78 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2EquantHeuristics_2ESIMPLE__GUESS__EXISTS @ A_27a ) @ V0v ) @ V1i ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27b ) @ V2t1 ) @ V3t2 ) ) ) ) ) ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(ax_thm_2EquantHeuristics_2EIS__REMOVABLE__QUANT__FUN__def,axiom,
% 5.55/5.78 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.55/5.78 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.55/5.78 => ( ( p @ ( ap @ ( c_2EquantHeuristics_2EIS__REMOVABLE__QUANT__FUN @ A_27a @ A_27b ) @ V0f ) )
% 5.55/5.78 <=> ! [V1v: $i] :
% 5.55/5.78 ( ( mem @ V1v @ A_27b )
% 5.55/5.78 => ? [V2x: $i] :
% 5.55/5.78 ( ( mem @ V2x @ A_27a )
% 5.55/5.78 & ( ( ap @ V0f @ V2x )
% 5.55/5.78 = V1v ) ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2EIS__REMOVABLE__QUANT__FUN______EXISTS__THM,axiom,
% 5.55/5.78 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.55/5.78 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.55/5.78 => ! [V1P: $i] :
% 5.55/5.78 ( ( mem @ V1P @ ( arr @ A_27b @ bool ) )
% 5.55/5.78 => ( ( p @ ( ap @ ( c_2EquantHeuristics_2EIS__REMOVABLE__QUANT__FUN @ A_27a @ A_27b ) @ V0f ) )
% 5.55/5.78 => ( ? [V2x: $i] :
% 5.55/5.78 ( ( mem @ V2x @ A_27a )
% 5.55/5.78 & ( p @ ( ap @ V1P @ ( ap @ V0f @ V2x ) ) ) )
% 5.55/5.78 <=> ? [V3x_27: $i] :
% 5.55/5.78 ( ( mem @ V3x_27 @ A_27b )
% 5.55/5.78 & ( p @ ( ap @ V1P @ V3x_27 ) ) ) ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2EIS__REMOVABLE__QUANT__FUN______FORALL__THM,axiom,
% 5.55/5.78 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.55/5.78 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.55/5.78 => ! [V1P: $i] :
% 5.55/5.78 ( ( mem @ V1P @ ( arr @ A_27b @ bool ) )
% 5.55/5.78 => ( ( p @ ( ap @ ( c_2EquantHeuristics_2EIS__REMOVABLE__QUANT__FUN @ A_27a @ A_27b ) @ V0f ) )
% 5.55/5.78 => ( ! [V2x: $i] :
% 5.55/5.78 ( ( mem @ V2x @ A_27a )
% 5.55/5.78 => ( p @ ( ap @ V1P @ ( ap @ V0f @ V2x ) ) ) )
% 5.55/5.78 <=> ! [V3x_27: $i] :
% 5.55/5.78 ( ( mem @ V3x_27 @ A_27b )
% 5.55/5.78 => ( p @ ( ap @ V1P @ V3x_27 ) ) ) ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2EPAIR__EQ__EXPAND,axiom,
% 5.55/5.78 ! [A_27a: del,A_27b: del,V0x: $i] :
% 5.55/5.78 ( ( mem @ V0x @ A_27a )
% 5.55/5.78 => ! [V1y: $i] :
% 5.55/5.78 ( ( mem @ V1y @ A_27b )
% 5.55/5.78 => ! [V2X: $i] :
% 5.55/5.78 ( ( mem @ V2X @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) )
% 5.55/5.78 => ( ( ( ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V0x ) @ V1y )
% 5.55/5.78 = V2X )
% 5.55/5.78 <=> ( ( V0x
% 5.55/5.78 = ( ap @ ( c_2Epair_2EFST @ A_27a @ A_27b ) @ V2X ) )
% 5.55/5.78 & ( V1y
% 5.55/5.78 = ( ap @ ( c_2Epair_2ESND @ A_27a @ A_27b ) @ V2X ) ) ) )
% 5.55/5.78 & ( ( V2X
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V0x ) @ V1y ) )
% 5.55/5.78 <=> ( ( ( ap @ ( c_2Epair_2EFST @ A_27a @ A_27b ) @ V2X )
% 5.55/5.78 = V0x )
% 5.55/5.78 & ( ( ap @ ( c_2Epair_2ESND @ A_27a @ A_27b ) @ V2X )
% 5.55/5.78 = V1y ) ) ) ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2EPAIR__EQ__SIMPLE__EXPAND,axiom,
% 5.55/5.78 ! [A_27a: del,A_27b: del,V0x: $i] :
% 5.55/5.78 ( ( mem @ V0x @ A_27a )
% 5.55/5.78 => ! [V1y: $i] :
% 5.55/5.78 ( ( mem @ V1y @ A_27b )
% 5.55/5.78 => ! [V2y_27: $i] :
% 5.55/5.78 ( ( mem @ V2y_27 @ A_27b )
% 5.55/5.78 => ! [V3X: $i] :
% 5.55/5.78 ( ( mem @ V3X @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) )
% 5.55/5.78 => ( ( ( ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V0x ) @ V1y )
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V0x ) @ V2y_27 ) )
% 5.55/5.78 <=> ( V1y = V2y_27 ) )
% 5.55/5.78 & ( ( ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27b @ A_27a ) @ V1y ) @ V0x )
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27b @ A_27a ) @ V2y_27 ) @ V0x ) )
% 5.55/5.78 <=> ( V1y = V2y_27 ) )
% 5.55/5.78 & ( ( ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ ( ap @ ( c_2Epair_2EFST @ A_27a @ A_27b ) @ V3X ) ) @ V1y )
% 5.55/5.78 = V3X )
% 5.55/5.78 <=> ( V1y
% 5.55/5.78 = ( ap @ ( c_2Epair_2ESND @ A_27a @ A_27b ) @ V3X ) ) )
% 5.55/5.78 & ( ( ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V0x ) @ ( ap @ ( c_2Epair_2ESND @ A_27a @ A_27b ) @ V3X ) )
% 5.55/5.78 = V3X )
% 5.55/5.78 <=> ( V0x
% 5.55/5.78 = ( ap @ ( c_2Epair_2EFST @ A_27a @ A_27b ) @ V3X ) ) )
% 5.55/5.78 & ( ( V3X
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ ( ap @ ( c_2Epair_2EFST @ A_27a @ A_27b ) @ V3X ) ) @ V1y ) )
% 5.55/5.78 <=> ( ( ap @ ( c_2Epair_2ESND @ A_27a @ A_27b ) @ V3X )
% 5.55/5.78 = V1y ) )
% 5.55/5.78 & ( ( V3X
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V0x ) @ ( ap @ ( c_2Epair_2ESND @ A_27a @ A_27b ) @ V3X ) ) )
% 5.55/5.78 <=> ( ( ap @ ( c_2Epair_2EFST @ A_27a @ A_27b ) @ V3X )
% 5.55/5.78 = V0x ) ) ) ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2EIS__SOME__EQ__NOT__NONE,axiom,
% 5.55/5.78 ! [A_27a: del,V0x: $i] :
% 5.55/5.78 ( ( mem @ V0x @ ( ty_2Eoption_2Eoption @ A_27a ) )
% 5.55/5.78 => ( ( p @ ( ap @ ( c_2Eoption_2EIS__SOME @ A_27a ) @ V0x ) )
% 5.55/5.78 <=> ( V0x
% 5.55/5.78 != ( c_2Eoption_2ENONE @ A_27a ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2EISL__exists,axiom,
% 5.55/5.78 ! [A_27a: del,A_27b: del,V0x: $i] :
% 5.55/5.78 ( ( mem @ V0x @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) )
% 5.55/5.78 => ( ( p @ ( ap @ ( c_2Esum_2EISL @ A_27a @ A_27b ) @ V0x ) )
% 5.55/5.78 <=> ? [V1l: $i] :
% 5.55/5.78 ( ( mem @ V1l @ A_27a )
% 5.55/5.78 & ( V0x
% 5.55/5.78 = ( ap @ ( c_2Esum_2EINL @ A_27a @ A_27b ) @ V1l ) ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2EISR__exists,axiom,
% 5.55/5.78 ! [A_27a: del,A_27b: del,V0x: $i] :
% 5.55/5.78 ( ( mem @ V0x @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) )
% 5.55/5.78 => ( ( p @ ( ap @ ( c_2Esum_2EISR @ A_27a @ A_27b ) @ V0x ) )
% 5.55/5.78 <=> ? [V1r: $i] :
% 5.55/5.78 ( ( mem @ V1r @ A_27b )
% 5.55/5.78 & ( V0x
% 5.55/5.78 = ( ap @ ( c_2Esum_2EINR @ A_27a @ A_27b ) @ V1r ) ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2EINL__NEQ__ELIM,axiom,
% 5.55/5.78 ! [A_27a: del,A_27b: del,V0x: $i] :
% 5.55/5.78 ( ( mem @ V0x @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) )
% 5.55/5.78 => ( ( ! [V1l: $i] :
% 5.55/5.78 ( ( mem @ V1l @ A_27a )
% 5.55/5.78 => ( V0x
% 5.55/5.78 != ( ap @ ( c_2Esum_2EINL @ A_27a @ A_27b ) @ V1l ) ) )
% 5.55/5.78 <=> ( p @ ( ap @ ( c_2Esum_2EISR @ A_27a @ A_27b ) @ V0x ) ) )
% 5.55/5.78 & ( ! [V2l: $i] :
% 5.55/5.78 ( ( mem @ V2l @ A_27a )
% 5.55/5.78 => ( ( ap @ ( c_2Esum_2EINL @ A_27a @ A_27b ) @ V2l )
% 5.55/5.78 != V0x ) )
% 5.55/5.78 <=> ( p @ ( ap @ ( c_2Esum_2EISR @ A_27a @ A_27b ) @ V0x ) ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2EINR__NEQ__ELIM,axiom,
% 5.55/5.78 ! [A_27a: del,A_27b: del,V0x: $i] :
% 5.55/5.78 ( ( mem @ V0x @ ( ty_2Esum_2Esum @ A_27b @ A_27a ) )
% 5.55/5.78 => ( ( ! [V1r: $i] :
% 5.55/5.78 ( ( mem @ V1r @ A_27a )
% 5.55/5.78 => ( V0x
% 5.55/5.78 != ( ap @ ( c_2Esum_2EINR @ A_27b @ A_27a ) @ V1r ) ) )
% 5.55/5.78 <=> ( p @ ( ap @ ( c_2Esum_2EISL @ A_27b @ A_27a ) @ V0x ) ) )
% 5.55/5.78 & ( ! [V2r: $i] :
% 5.55/5.78 ( ( mem @ V2r @ A_27a )
% 5.55/5.78 => ( ( ap @ ( c_2Esum_2EINR @ A_27b @ A_27a ) @ V2r )
% 5.55/5.78 != V0x ) )
% 5.55/5.78 <=> ( p @ ( ap @ ( c_2Esum_2EISL @ A_27b @ A_27a ) @ V0x ) ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2ELENGTH__LE__PLUS,axiom,
% 5.55/5.78 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1m: tp__ty_2Enum_2Enum,V2l: $i] :
% 5.55/5.78 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 => ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2l ) ) )
% 5.55/5.78 <=> ? [V3l1: $i] :
% 5.55/5.78 ( ( mem @ V3l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V4l2: $i] :
% 5.55/5.78 ( ( mem @ V4l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V3l1 ) )
% 5.55/5.78 = V0n )
% 5.55/5.78 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4l2 ) ) )
% 5.55/5.78 & ( V2l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V3l1 ) @ V4l2 ) ) ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2ELENGTH__LE__NUM,axiom,
% 5.55/5.78 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1l: $i] :
% 5.55/5.78 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 => ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l ) ) )
% 5.55/5.78 <=> ? [V2l1: $i] :
% 5.55/5.78 ( ( mem @ V2l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V3l2: $i] :
% 5.55/5.78 ( ( mem @ V3l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2l1 ) )
% 5.55/5.78 = V0n )
% 5.55/5.78 & ( V1l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V2l1 ) @ V3l2 ) ) ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2ELENGTH__NIL__SYM,axiom,
% 5.55/5.78 ! [A_27a: del,V0l: $i] :
% 5.55/5.78 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 => ( ( fo__c_2Enum_2E0
% 5.55/5.78 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.78 <=> ( V0l
% 5.55/5.78 = ( c_2Elist_2ENIL @ A_27a ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2ELIST__LENGTH__COMPARE__1,axiom,
% 5.55/5.78 ! [A_27a: del,V0l: $i] :
% 5.55/5.78 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 => ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.78 <=> ( V0l
% 5.55/5.78 = ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.78 <=> ( V0l
% 5.55/5.78 = ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.78 <=> ( V0l
% 5.55/5.78 = ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.55/5.78 <=> ( V0l
% 5.55/5.78 = ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2ELIST__LENGTH__0,axiom,
% 5.55/5.78 ! [A_27a: del,V0l: $i] :
% 5.55/5.78 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 => ( ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.78 = fo__c_2Enum_2E0 )
% 5.55/5.78 <=> ( V0l
% 5.55/5.78 = ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.78 & ( ( fo__c_2Enum_2E0
% 5.55/5.78 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.78 <=> ( V0l
% 5.55/5.78 = ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.78 <=> ( V0l
% 5.55/5.78 = ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.78 <=> ( V0l
% 5.55/5.78 = ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.78 <=> ( V0l
% 5.55/5.78 = ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.55/5.78 <=> ( V0l
% 5.55/5.78 = ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2ELIST__LENGTH__1,axiom,
% 5.55/5.78 ! [A_27a: del,V0l: $i] :
% 5.55/5.78 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 => ! [V1x: tp__ty_2Enum_2Enum] :
% 5.55/5.78 ( ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.78 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.78 <=> ? [V2e1: $i] :
% 5.55/5.78 ( ( mem @ V2e1 @ A_27a )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2e1 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) )
% 5.55/5.78 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) )
% 5.55/5.78 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.78 <=> ? [V3e1: $i] :
% 5.55/5.78 ( ( mem @ V3e1 @ A_27a )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3e1 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.78 <=> ? [V4l_27: $i] :
% 5.55/5.78 ( ( mem @ V4l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V5e1: $i] :
% 5.55/5.78 ( ( mem @ V5e1 @ A_27a )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V5e1 ) @ V4l_27 ) ) ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.55/5.78 <=> ? [V6l_27: $i] :
% 5.55/5.78 ( ( mem @ V6l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V7e1: $i] :
% 5.55/5.78 ( ( mem @ V7e1 @ A_27a )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V7e1 ) @ V6l_27 ) ) ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.78 <=> ? [V8l_27: $i] :
% 5.55/5.78 ( ( mem @ V8l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V9e1: $i] :
% 5.55/5.78 ( ( mem @ V9e1 @ A_27a )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V9e1 ) @ V8l_27 ) ) ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.78 <=> ? [V10l_27: $i] :
% 5.55/5.78 ( ( mem @ V10l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V11e1: $i] :
% 5.55/5.78 ( ( mem @ V11e1 @ A_27a )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V11e1 ) @ V10l_27 ) ) ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.78 <=> ? [V12l_27: $i] :
% 5.55/5.78 ( ( mem @ V12l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V13e1: $i] :
% 5.55/5.78 ( ( mem @ V13e1 @ A_27a )
% 5.55/5.78 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V12l_27 ) ) )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V13e1 ) @ V12l_27 ) ) ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.78 <=> ? [V14l_27: $i] :
% 5.55/5.78 ( ( mem @ V14l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V15e1: $i] :
% 5.55/5.78 ( ( mem @ V15e1 @ A_27a )
% 5.55/5.78 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V14l_27 ) ) )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V15e1 ) @ V14l_27 ) ) ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.78 <=> ? [V16l_27: $i] :
% 5.55/5.78 ( ( mem @ V16l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V17e1: $i] :
% 5.55/5.78 ( ( mem @ V17e1 @ A_27a )
% 5.55/5.78 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V16l_27 ) ) )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V17e1 ) @ V16l_27 ) ) ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.78 <=> ? [V18l_27: $i] :
% 5.55/5.78 ( ( mem @ V18l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V19e1: $i] :
% 5.55/5.78 ( ( mem @ V19e1 @ A_27a )
% 5.55/5.78 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V18l_27 ) ) )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V19e1 ) @ V18l_27 ) ) ) ) )
% 5.55/5.78 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.78 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.78 <=> ? [V20l_27: $i] :
% 5.55/5.78 ( ( mem @ V20l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V21e1: $i] :
% 5.55/5.78 ( ( mem @ V21e1 @ A_27a )
% 5.55/5.78 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V20l_27 ) )
% 5.55/5.78 = V1x )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V21e1 ) @ V20l_27 ) ) ) ) )
% 5.55/5.78 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.55/5.78 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.78 <=> ? [V22l_27: $i] :
% 5.55/5.78 ( ( mem @ V22l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V23e1: $i] :
% 5.55/5.78 ( ( mem @ V23e1 @ A_27a )
% 5.55/5.78 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V22l_27 ) )
% 5.55/5.78 = V1x )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V23e1 ) @ V22l_27 ) ) ) ) )
% 5.55/5.78 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.78 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.78 <=> ? [V24l_27: $i] :
% 5.55/5.78 ( ( mem @ V24l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V25e1: $i] :
% 5.55/5.78 ( ( mem @ V25e1 @ A_27a )
% 5.55/5.78 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V24l_27 ) )
% 5.55/5.78 = V1x )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V25e1 ) @ V24l_27 ) ) ) ) )
% 5.55/5.78 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.78 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.78 <=> ? [V26l_27: $i] :
% 5.55/5.78 ( ( mem @ V26l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V27e1: $i] :
% 5.55/5.78 ( ( mem @ V27e1 @ A_27a )
% 5.55/5.78 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V26l_27 ) )
% 5.55/5.78 = V1x )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V27e1 ) @ V26l_27 ) ) ) ) )
% 5.55/5.78 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.78 = fo__c_2Enum_2E0 )
% 5.55/5.78 <=> ( V0l
% 5.55/5.78 = ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.78 & ( ( fo__c_2Enum_2E0
% 5.55/5.78 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.78 <=> ( V0l
% 5.55/5.78 = ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.78 <=> ( V0l
% 5.55/5.78 = ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.78 <=> ( V0l
% 5.55/5.78 = ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.78 <=> ( V0l
% 5.55/5.78 = ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.55/5.78 <=> ( V0l
% 5.55/5.78 = ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2ELIST__LENGTH__2,axiom,
% 5.55/5.78 ! [A_27a: del,V0l: $i] :
% 5.55/5.78 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 => ! [V1x: tp__ty_2Enum_2Enum] :
% 5.55/5.78 ( ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.78 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.78 <=> ? [V2e1: $i] :
% 5.55/5.78 ( ( mem @ V2e1 @ A_27a )
% 5.55/5.78 & ? [V3e2: $i] :
% 5.55/5.78 ( ( mem @ V3e2 @ A_27a )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3e2 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) )
% 5.55/5.78 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) )
% 5.55/5.78 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.78 <=> ? [V4e1: $i] :
% 5.55/5.78 ( ( mem @ V4e1 @ A_27a )
% 5.55/5.78 & ? [V5e2: $i] :
% 5.55/5.78 ( ( mem @ V5e2 @ A_27a )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V5e2 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.78 <=> ? [V6l_27: $i] :
% 5.55/5.78 ( ( mem @ V6l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V7e1: $i] :
% 5.55/5.78 ( ( mem @ V7e1 @ A_27a )
% 5.55/5.78 & ? [V8e2: $i] :
% 5.55/5.78 ( ( mem @ V8e2 @ A_27a )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V7e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V8e2 ) @ V6l_27 ) ) ) ) ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.78 <=> ? [V9l_27: $i] :
% 5.55/5.78 ( ( mem @ V9l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V10e1: $i] :
% 5.55/5.78 ( ( mem @ V10e1 @ A_27a )
% 5.55/5.78 & ? [V11e2: $i] :
% 5.55/5.78 ( ( mem @ V11e2 @ A_27a )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V10e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V11e2 ) @ V9l_27 ) ) ) ) ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.78 <=> ? [V12l_27: $i] :
% 5.55/5.78 ( ( mem @ V12l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V13e1: $i] :
% 5.55/5.78 ( ( mem @ V13e1 @ A_27a )
% 5.55/5.78 & ? [V14e2: $i] :
% 5.55/5.78 ( ( mem @ V14e2 @ A_27a )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V13e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V14e2 ) @ V12l_27 ) ) ) ) ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.78 <=> ? [V15l_27: $i] :
% 5.55/5.78 ( ( mem @ V15l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V16e1: $i] :
% 5.55/5.78 ( ( mem @ V16e1 @ A_27a )
% 5.55/5.78 & ? [V17e2: $i] :
% 5.55/5.78 ( ( mem @ V17e2 @ A_27a )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V16e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V17e2 ) @ V15l_27 ) ) ) ) ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.78 <=> ? [V18l_27: $i] :
% 5.55/5.78 ( ( mem @ V18l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V19e1: $i] :
% 5.55/5.78 ( ( mem @ V19e1 @ A_27a )
% 5.55/5.78 & ? [V20e2: $i] :
% 5.55/5.78 ( ( mem @ V20e2 @ A_27a )
% 5.55/5.78 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V18l_27 ) ) )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V19e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V20e2 ) @ V18l_27 ) ) ) ) ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.78 <=> ? [V21l_27: $i] :
% 5.55/5.78 ( ( mem @ V21l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V22e1: $i] :
% 5.55/5.78 ( ( mem @ V22e1 @ A_27a )
% 5.55/5.78 & ? [V23e2: $i] :
% 5.55/5.78 ( ( mem @ V23e2 @ A_27a )
% 5.55/5.78 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V21l_27 ) ) )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V22e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V23e2 ) @ V21l_27 ) ) ) ) ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.78 <=> ? [V24l_27: $i] :
% 5.55/5.78 ( ( mem @ V24l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V25e1: $i] :
% 5.55/5.78 ( ( mem @ V25e1 @ A_27a )
% 5.55/5.78 & ? [V26e2: $i] :
% 5.55/5.78 ( ( mem @ V26e2 @ A_27a )
% 5.55/5.78 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V24l_27 ) ) )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V25e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V26e2 ) @ V24l_27 ) ) ) ) ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.78 <=> ? [V27l_27: $i] :
% 5.55/5.78 ( ( mem @ V27l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V28e1: $i] :
% 5.55/5.78 ( ( mem @ V28e1 @ A_27a )
% 5.55/5.78 & ? [V29e2: $i] :
% 5.55/5.78 ( ( mem @ V29e2 @ A_27a )
% 5.55/5.78 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V27l_27 ) ) )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V28e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V29e2 ) @ V27l_27 ) ) ) ) ) ) )
% 5.55/5.78 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.78 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.78 <=> ? [V30l_27: $i] :
% 5.55/5.78 ( ( mem @ V30l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V31e1: $i] :
% 5.55/5.78 ( ( mem @ V31e1 @ A_27a )
% 5.55/5.78 & ? [V32e2: $i] :
% 5.55/5.78 ( ( mem @ V32e2 @ A_27a )
% 5.55/5.78 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V30l_27 ) )
% 5.55/5.78 = V1x )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V31e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V32e2 ) @ V30l_27 ) ) ) ) ) ) )
% 5.55/5.78 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.55/5.78 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.78 <=> ? [V33l_27: $i] :
% 5.55/5.78 ( ( mem @ V33l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V34e1: $i] :
% 5.55/5.78 ( ( mem @ V34e1 @ A_27a )
% 5.55/5.78 & ? [V35e2: $i] :
% 5.55/5.78 ( ( mem @ V35e2 @ A_27a )
% 5.55/5.78 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V33l_27 ) )
% 5.55/5.78 = V1x )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V34e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V35e2 ) @ V33l_27 ) ) ) ) ) ) )
% 5.55/5.78 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.78 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.78 <=> ? [V36l_27: $i] :
% 5.55/5.78 ( ( mem @ V36l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V37e1: $i] :
% 5.55/5.78 ( ( mem @ V37e1 @ A_27a )
% 5.55/5.78 & ? [V38e2: $i] :
% 5.55/5.78 ( ( mem @ V38e2 @ A_27a )
% 5.55/5.78 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V36l_27 ) )
% 5.55/5.78 = V1x )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V37e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V38e2 ) @ V36l_27 ) ) ) ) ) ) )
% 5.55/5.78 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.78 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.78 <=> ? [V39l_27: $i] :
% 5.55/5.78 ( ( mem @ V39l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V40e1: $i] :
% 5.55/5.78 ( ( mem @ V40e1 @ A_27a )
% 5.55/5.78 & ? [V41e2: $i] :
% 5.55/5.78 ( ( mem @ V41e2 @ A_27a )
% 5.55/5.78 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V39l_27 ) )
% 5.55/5.78 = V1x )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V40e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V41e2 ) @ V39l_27 ) ) ) ) ) ) )
% 5.55/5.78 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.78 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.78 <=> ? [V42e1: $i] :
% 5.55/5.78 ( ( mem @ V42e1 @ A_27a )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V42e1 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) )
% 5.55/5.78 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) )
% 5.55/5.78 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.78 <=> ? [V43e1: $i] :
% 5.55/5.78 ( ( mem @ V43e1 @ A_27a )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V43e1 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.78 <=> ? [V44l_27: $i] :
% 5.55/5.78 ( ( mem @ V44l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V45e1: $i] :
% 5.55/5.78 ( ( mem @ V45e1 @ A_27a )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V45e1 ) @ V44l_27 ) ) ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.55/5.78 <=> ? [V46l_27: $i] :
% 5.55/5.78 ( ( mem @ V46l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V47e1: $i] :
% 5.55/5.78 ( ( mem @ V47e1 @ A_27a )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V47e1 ) @ V46l_27 ) ) ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.78 <=> ? [V48l_27: $i] :
% 5.55/5.78 ( ( mem @ V48l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V49e1: $i] :
% 5.55/5.78 ( ( mem @ V49e1 @ A_27a )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V49e1 ) @ V48l_27 ) ) ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.78 <=> ? [V50l_27: $i] :
% 5.55/5.78 ( ( mem @ V50l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V51e1: $i] :
% 5.55/5.78 ( ( mem @ V51e1 @ A_27a )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V51e1 ) @ V50l_27 ) ) ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.78 <=> ? [V52l_27: $i] :
% 5.55/5.78 ( ( mem @ V52l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V53e1: $i] :
% 5.55/5.78 ( ( mem @ V53e1 @ A_27a )
% 5.55/5.78 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V52l_27 ) ) )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V53e1 ) @ V52l_27 ) ) ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.78 <=> ? [V54l_27: $i] :
% 5.55/5.78 ( ( mem @ V54l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V55e1: $i] :
% 5.55/5.78 ( ( mem @ V55e1 @ A_27a )
% 5.55/5.78 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V54l_27 ) ) )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V55e1 ) @ V54l_27 ) ) ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.78 <=> ? [V56l_27: $i] :
% 5.55/5.78 ( ( mem @ V56l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V57e1: $i] :
% 5.55/5.78 ( ( mem @ V57e1 @ A_27a )
% 5.55/5.78 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V56l_27 ) ) )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V57e1 ) @ V56l_27 ) ) ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.78 <=> ? [V58l_27: $i] :
% 5.55/5.78 ( ( mem @ V58l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V59e1: $i] :
% 5.55/5.78 ( ( mem @ V59e1 @ A_27a )
% 5.55/5.78 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V58l_27 ) ) )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V59e1 ) @ V58l_27 ) ) ) ) )
% 5.55/5.78 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.78 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.78 <=> ? [V60l_27: $i] :
% 5.55/5.78 ( ( mem @ V60l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V61e1: $i] :
% 5.55/5.78 ( ( mem @ V61e1 @ A_27a )
% 5.55/5.78 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V60l_27 ) )
% 5.55/5.78 = V1x )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V61e1 ) @ V60l_27 ) ) ) ) )
% 5.55/5.78 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.55/5.78 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.78 <=> ? [V62l_27: $i] :
% 5.55/5.78 ( ( mem @ V62l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V63e1: $i] :
% 5.55/5.78 ( ( mem @ V63e1 @ A_27a )
% 5.55/5.78 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V62l_27 ) )
% 5.55/5.78 = V1x )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V63e1 ) @ V62l_27 ) ) ) ) )
% 5.55/5.78 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.78 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.78 <=> ? [V64l_27: $i] :
% 5.55/5.78 ( ( mem @ V64l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V65e1: $i] :
% 5.55/5.78 ( ( mem @ V65e1 @ A_27a )
% 5.55/5.78 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V64l_27 ) )
% 5.55/5.78 = V1x )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V65e1 ) @ V64l_27 ) ) ) ) )
% 5.55/5.78 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.78 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.78 <=> ? [V66l_27: $i] :
% 5.55/5.78 ( ( mem @ V66l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V67e1: $i] :
% 5.55/5.78 ( ( mem @ V67e1 @ A_27a )
% 5.55/5.78 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V66l_27 ) )
% 5.55/5.78 = V1x )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V67e1 ) @ V66l_27 ) ) ) ) )
% 5.55/5.78 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.78 = fo__c_2Enum_2E0 )
% 5.55/5.78 <=> ( V0l
% 5.55/5.78 = ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.78 & ( ( fo__c_2Enum_2E0
% 5.55/5.78 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.78 <=> ( V0l
% 5.55/5.78 = ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.78 <=> ( V0l
% 5.55/5.78 = ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.78 <=> ( V0l
% 5.55/5.78 = ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.78 <=> ( V0l
% 5.55/5.78 = ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.55/5.78 <=> ( V0l
% 5.55/5.78 = ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2ELIST__LENGTH__3,axiom,
% 5.55/5.78 ! [A_27a: del,V0l: $i] :
% 5.55/5.78 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 => ! [V1x: tp__ty_2Enum_2Enum] :
% 5.55/5.78 ( ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.78 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.78 <=> ? [V2e1: $i] :
% 5.55/5.78 ( ( mem @ V2e1 @ A_27a )
% 5.55/5.78 & ? [V3e2: $i] :
% 5.55/5.78 ( ( mem @ V3e2 @ A_27a )
% 5.55/5.78 & ? [V4e3: $i] :
% 5.55/5.78 ( ( mem @ V4e3 @ A_27a )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4e3 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) )
% 5.55/5.78 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.78 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.78 <=> ? [V5e1: $i] :
% 5.55/5.78 ( ( mem @ V5e1 @ A_27a )
% 5.55/5.78 & ? [V6e2: $i] :
% 5.55/5.78 ( ( mem @ V6e2 @ A_27a )
% 5.55/5.78 & ? [V7e3: $i] :
% 5.55/5.78 ( ( mem @ V7e3 @ A_27a )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V5e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V6e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V7e3 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.78 <=> ? [V8l_27: $i] :
% 5.55/5.78 ( ( mem @ V8l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V9e1: $i] :
% 5.55/5.78 ( ( mem @ V9e1 @ A_27a )
% 5.55/5.78 & ? [V10e2: $i] :
% 5.55/5.78 ( ( mem @ V10e2 @ A_27a )
% 5.55/5.78 & ? [V11e3: $i] :
% 5.55/5.78 ( ( mem @ V11e3 @ A_27a )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V9e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V10e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V11e3 ) @ V8l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.78 <=> ? [V12l_27: $i] :
% 5.55/5.78 ( ( mem @ V12l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V13e1: $i] :
% 5.55/5.78 ( ( mem @ V13e1 @ A_27a )
% 5.55/5.78 & ? [V14e2: $i] :
% 5.55/5.78 ( ( mem @ V14e2 @ A_27a )
% 5.55/5.78 & ? [V15e3: $i] :
% 5.55/5.78 ( ( mem @ V15e3 @ A_27a )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V13e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V14e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V15e3 ) @ V12l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.78 <=> ? [V16l_27: $i] :
% 5.55/5.78 ( ( mem @ V16l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V17e1: $i] :
% 5.55/5.78 ( ( mem @ V17e1 @ A_27a )
% 5.55/5.78 & ? [V18e2: $i] :
% 5.55/5.78 ( ( mem @ V18e2 @ A_27a )
% 5.55/5.78 & ? [V19e3: $i] :
% 5.55/5.78 ( ( mem @ V19e3 @ A_27a )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V17e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V18e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V19e3 ) @ V16l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.78 <=> ? [V20l_27: $i] :
% 5.55/5.78 ( ( mem @ V20l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V21e1: $i] :
% 5.55/5.78 ( ( mem @ V21e1 @ A_27a )
% 5.55/5.78 & ? [V22e2: $i] :
% 5.55/5.78 ( ( mem @ V22e2 @ A_27a )
% 5.55/5.78 & ? [V23e3: $i] :
% 5.55/5.78 ( ( mem @ V23e3 @ A_27a )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V21e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V22e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V23e3 ) @ V20l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.78 <=> ? [V24l_27: $i] :
% 5.55/5.78 ( ( mem @ V24l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V25e1: $i] :
% 5.55/5.78 ( ( mem @ V25e1 @ A_27a )
% 5.55/5.78 & ? [V26e2: $i] :
% 5.55/5.78 ( ( mem @ V26e2 @ A_27a )
% 5.55/5.78 & ? [V27e3: $i] :
% 5.55/5.78 ( ( mem @ V27e3 @ A_27a )
% 5.55/5.78 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V24l_27 ) ) )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V25e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V26e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V27e3 ) @ V24l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.78 <=> ? [V28l_27: $i] :
% 5.55/5.78 ( ( mem @ V28l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V29e1: $i] :
% 5.55/5.78 ( ( mem @ V29e1 @ A_27a )
% 5.55/5.78 & ? [V30e2: $i] :
% 5.55/5.78 ( ( mem @ V30e2 @ A_27a )
% 5.55/5.78 & ? [V31e3: $i] :
% 5.55/5.78 ( ( mem @ V31e3 @ A_27a )
% 5.55/5.78 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V28l_27 ) ) )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V29e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V30e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V31e3 ) @ V28l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.78 <=> ? [V32l_27: $i] :
% 5.55/5.78 ( ( mem @ V32l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V33e1: $i] :
% 5.55/5.78 ( ( mem @ V33e1 @ A_27a )
% 5.55/5.78 & ? [V34e2: $i] :
% 5.55/5.78 ( ( mem @ V34e2 @ A_27a )
% 5.55/5.78 & ? [V35e3: $i] :
% 5.55/5.78 ( ( mem @ V35e3 @ A_27a )
% 5.55/5.78 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V32l_27 ) ) )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V33e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V34e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V35e3 ) @ V32l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.78 <=> ? [V36l_27: $i] :
% 5.55/5.78 ( ( mem @ V36l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V37e1: $i] :
% 5.55/5.78 ( ( mem @ V37e1 @ A_27a )
% 5.55/5.78 & ? [V38e2: $i] :
% 5.55/5.78 ( ( mem @ V38e2 @ A_27a )
% 5.55/5.78 & ? [V39e3: $i] :
% 5.55/5.78 ( ( mem @ V39e3 @ A_27a )
% 5.55/5.78 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V36l_27 ) ) )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V37e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V38e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V39e3 ) @ V36l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.78 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.78 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.78 <=> ? [V40l_27: $i] :
% 5.55/5.78 ( ( mem @ V40l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V41e1: $i] :
% 5.55/5.78 ( ( mem @ V41e1 @ A_27a )
% 5.55/5.78 & ? [V42e2: $i] :
% 5.55/5.78 ( ( mem @ V42e2 @ A_27a )
% 5.55/5.78 & ? [V43e3: $i] :
% 5.55/5.78 ( ( mem @ V43e3 @ A_27a )
% 5.55/5.78 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V40l_27 ) )
% 5.55/5.78 = V1x )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V41e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V42e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V43e3 ) @ V40l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.78 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.55/5.78 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.78 <=> ? [V44l_27: $i] :
% 5.55/5.78 ( ( mem @ V44l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V45e1: $i] :
% 5.55/5.78 ( ( mem @ V45e1 @ A_27a )
% 5.55/5.78 & ? [V46e2: $i] :
% 5.55/5.78 ( ( mem @ V46e2 @ A_27a )
% 5.55/5.78 & ? [V47e3: $i] :
% 5.55/5.78 ( ( mem @ V47e3 @ A_27a )
% 5.55/5.78 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V44l_27 ) )
% 5.55/5.78 = V1x )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V45e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V46e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V47e3 ) @ V44l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.78 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.78 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.78 <=> ? [V48l_27: $i] :
% 5.55/5.78 ( ( mem @ V48l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V49e1: $i] :
% 5.55/5.78 ( ( mem @ V49e1 @ A_27a )
% 5.55/5.78 & ? [V50e2: $i] :
% 5.55/5.78 ( ( mem @ V50e2 @ A_27a )
% 5.55/5.78 & ? [V51e3: $i] :
% 5.55/5.78 ( ( mem @ V51e3 @ A_27a )
% 5.55/5.78 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V48l_27 ) )
% 5.55/5.78 = V1x )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V49e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V50e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V51e3 ) @ V48l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.78 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.78 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.78 <=> ? [V52l_27: $i] :
% 5.55/5.78 ( ( mem @ V52l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V53e1: $i] :
% 5.55/5.78 ( ( mem @ V53e1 @ A_27a )
% 5.55/5.78 & ? [V54e2: $i] :
% 5.55/5.78 ( ( mem @ V54e2 @ A_27a )
% 5.55/5.78 & ? [V55e3: $i] :
% 5.55/5.78 ( ( mem @ V55e3 @ A_27a )
% 5.55/5.78 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V52l_27 ) )
% 5.55/5.78 = V1x )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V53e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V54e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V55e3 ) @ V52l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.78 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.78 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.78 <=> ? [V56e1: $i] :
% 5.55/5.78 ( ( mem @ V56e1 @ A_27a )
% 5.55/5.78 & ? [V57e2: $i] :
% 5.55/5.78 ( ( mem @ V57e2 @ A_27a )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V56e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V57e2 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) )
% 5.55/5.78 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) )
% 5.55/5.78 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.78 <=> ? [V58e1: $i] :
% 5.55/5.78 ( ( mem @ V58e1 @ A_27a )
% 5.55/5.78 & ? [V59e2: $i] :
% 5.55/5.78 ( ( mem @ V59e2 @ A_27a )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V58e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V59e2 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.78 <=> ? [V60l_27: $i] :
% 5.55/5.78 ( ( mem @ V60l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V61e1: $i] :
% 5.55/5.78 ( ( mem @ V61e1 @ A_27a )
% 5.55/5.78 & ? [V62e2: $i] :
% 5.55/5.78 ( ( mem @ V62e2 @ A_27a )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V61e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V62e2 ) @ V60l_27 ) ) ) ) ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.78 <=> ? [V63l_27: $i] :
% 5.55/5.78 ( ( mem @ V63l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V64e1: $i] :
% 5.55/5.78 ( ( mem @ V64e1 @ A_27a )
% 5.55/5.78 & ? [V65e2: $i] :
% 5.55/5.78 ( ( mem @ V65e2 @ A_27a )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V64e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V65e2 ) @ V63l_27 ) ) ) ) ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.78 <=> ? [V66l_27: $i] :
% 5.55/5.78 ( ( mem @ V66l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V67e1: $i] :
% 5.55/5.78 ( ( mem @ V67e1 @ A_27a )
% 5.55/5.78 & ? [V68e2: $i] :
% 5.55/5.78 ( ( mem @ V68e2 @ A_27a )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V67e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V68e2 ) @ V66l_27 ) ) ) ) ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.78 <=> ? [V69l_27: $i] :
% 5.55/5.78 ( ( mem @ V69l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V70e1: $i] :
% 5.55/5.78 ( ( mem @ V70e1 @ A_27a )
% 5.55/5.78 & ? [V71e2: $i] :
% 5.55/5.78 ( ( mem @ V71e2 @ A_27a )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V70e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V71e2 ) @ V69l_27 ) ) ) ) ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.78 <=> ? [V72l_27: $i] :
% 5.55/5.78 ( ( mem @ V72l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V73e1: $i] :
% 5.55/5.78 ( ( mem @ V73e1 @ A_27a )
% 5.55/5.78 & ? [V74e2: $i] :
% 5.55/5.78 ( ( mem @ V74e2 @ A_27a )
% 5.55/5.78 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V72l_27 ) ) )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V73e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V74e2 ) @ V72l_27 ) ) ) ) ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.78 <=> ? [V75l_27: $i] :
% 5.55/5.78 ( ( mem @ V75l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V76e1: $i] :
% 5.55/5.78 ( ( mem @ V76e1 @ A_27a )
% 5.55/5.78 & ? [V77e2: $i] :
% 5.55/5.78 ( ( mem @ V77e2 @ A_27a )
% 5.55/5.78 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V75l_27 ) ) )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V76e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V77e2 ) @ V75l_27 ) ) ) ) ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.78 <=> ? [V78l_27: $i] :
% 5.55/5.78 ( ( mem @ V78l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V79e1: $i] :
% 5.55/5.78 ( ( mem @ V79e1 @ A_27a )
% 5.55/5.78 & ? [V80e2: $i] :
% 5.55/5.78 ( ( mem @ V80e2 @ A_27a )
% 5.55/5.78 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V78l_27 ) ) )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V79e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V80e2 ) @ V78l_27 ) ) ) ) ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.78 <=> ? [V81l_27: $i] :
% 5.55/5.78 ( ( mem @ V81l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V82e1: $i] :
% 5.55/5.78 ( ( mem @ V82e1 @ A_27a )
% 5.55/5.78 & ? [V83e2: $i] :
% 5.55/5.78 ( ( mem @ V83e2 @ A_27a )
% 5.55/5.78 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V81l_27 ) ) )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V82e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V83e2 ) @ V81l_27 ) ) ) ) ) ) )
% 5.55/5.78 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.78 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.78 <=> ? [V84l_27: $i] :
% 5.55/5.78 ( ( mem @ V84l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V85e1: $i] :
% 5.55/5.78 ( ( mem @ V85e1 @ A_27a )
% 5.55/5.78 & ? [V86e2: $i] :
% 5.55/5.78 ( ( mem @ V86e2 @ A_27a )
% 5.55/5.78 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V84l_27 ) )
% 5.55/5.78 = V1x )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V85e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V86e2 ) @ V84l_27 ) ) ) ) ) ) )
% 5.55/5.78 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.55/5.78 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.78 <=> ? [V87l_27: $i] :
% 5.55/5.78 ( ( mem @ V87l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V88e1: $i] :
% 5.55/5.78 ( ( mem @ V88e1 @ A_27a )
% 5.55/5.78 & ? [V89e2: $i] :
% 5.55/5.78 ( ( mem @ V89e2 @ A_27a )
% 5.55/5.78 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V87l_27 ) )
% 5.55/5.78 = V1x )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V88e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V89e2 ) @ V87l_27 ) ) ) ) ) ) )
% 5.55/5.78 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.78 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.78 <=> ? [V90l_27: $i] :
% 5.55/5.78 ( ( mem @ V90l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V91e1: $i] :
% 5.55/5.78 ( ( mem @ V91e1 @ A_27a )
% 5.55/5.78 & ? [V92e2: $i] :
% 5.55/5.78 ( ( mem @ V92e2 @ A_27a )
% 5.55/5.78 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V90l_27 ) )
% 5.55/5.78 = V1x )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V91e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V92e2 ) @ V90l_27 ) ) ) ) ) ) )
% 5.55/5.78 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.78 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.78 <=> ? [V93l_27: $i] :
% 5.55/5.78 ( ( mem @ V93l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V94e1: $i] :
% 5.55/5.78 ( ( mem @ V94e1 @ A_27a )
% 5.55/5.78 & ? [V95e2: $i] :
% 5.55/5.78 ( ( mem @ V95e2 @ A_27a )
% 5.55/5.78 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V93l_27 ) )
% 5.55/5.78 = V1x )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V94e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V95e2 ) @ V93l_27 ) ) ) ) ) ) )
% 5.55/5.78 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.78 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.78 <=> ? [V96e1: $i] :
% 5.55/5.78 ( ( mem @ V96e1 @ A_27a )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V96e1 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) )
% 5.55/5.78 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) )
% 5.55/5.78 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.78 <=> ? [V97e1: $i] :
% 5.55/5.78 ( ( mem @ V97e1 @ A_27a )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V97e1 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.78 <=> ? [V98l_27: $i] :
% 5.55/5.78 ( ( mem @ V98l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V99e1: $i] :
% 5.55/5.78 ( ( mem @ V99e1 @ A_27a )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V99e1 ) @ V98l_27 ) ) ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.55/5.78 <=> ? [V100l_27: $i] :
% 5.55/5.78 ( ( mem @ V100l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V101e1: $i] :
% 5.55/5.78 ( ( mem @ V101e1 @ A_27a )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V101e1 ) @ V100l_27 ) ) ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.78 <=> ? [V102l_27: $i] :
% 5.55/5.78 ( ( mem @ V102l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V103e1: $i] :
% 5.55/5.78 ( ( mem @ V103e1 @ A_27a )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V103e1 ) @ V102l_27 ) ) ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.78 <=> ? [V104l_27: $i] :
% 5.55/5.78 ( ( mem @ V104l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V105e1: $i] :
% 5.55/5.78 ( ( mem @ V105e1 @ A_27a )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V105e1 ) @ V104l_27 ) ) ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.78 <=> ? [V106l_27: $i] :
% 5.55/5.78 ( ( mem @ V106l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V107e1: $i] :
% 5.55/5.78 ( ( mem @ V107e1 @ A_27a )
% 5.55/5.78 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V106l_27 ) ) )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V107e1 ) @ V106l_27 ) ) ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.78 <=> ? [V108l_27: $i] :
% 5.55/5.78 ( ( mem @ V108l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V109e1: $i] :
% 5.55/5.78 ( ( mem @ V109e1 @ A_27a )
% 5.55/5.78 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V108l_27 ) ) )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V109e1 ) @ V108l_27 ) ) ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.78 <=> ? [V110l_27: $i] :
% 5.55/5.78 ( ( mem @ V110l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V111e1: $i] :
% 5.55/5.78 ( ( mem @ V111e1 @ A_27a )
% 5.55/5.78 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V110l_27 ) ) )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V111e1 ) @ V110l_27 ) ) ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.78 <=> ? [V112l_27: $i] :
% 5.55/5.78 ( ( mem @ V112l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V113e1: $i] :
% 5.55/5.78 ( ( mem @ V113e1 @ A_27a )
% 5.55/5.78 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V112l_27 ) ) )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V113e1 ) @ V112l_27 ) ) ) ) )
% 5.55/5.78 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.78 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.78 <=> ? [V114l_27: $i] :
% 5.55/5.78 ( ( mem @ V114l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V115e1: $i] :
% 5.55/5.78 ( ( mem @ V115e1 @ A_27a )
% 5.55/5.78 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V114l_27 ) )
% 5.55/5.78 = V1x )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V115e1 ) @ V114l_27 ) ) ) ) )
% 5.55/5.78 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.55/5.78 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.78 <=> ? [V116l_27: $i] :
% 5.55/5.78 ( ( mem @ V116l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V117e1: $i] :
% 5.55/5.78 ( ( mem @ V117e1 @ A_27a )
% 5.55/5.78 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V116l_27 ) )
% 5.55/5.78 = V1x )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V117e1 ) @ V116l_27 ) ) ) ) )
% 5.55/5.78 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.78 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.78 <=> ? [V118l_27: $i] :
% 5.55/5.78 ( ( mem @ V118l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V119e1: $i] :
% 5.55/5.78 ( ( mem @ V119e1 @ A_27a )
% 5.55/5.78 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V118l_27 ) )
% 5.55/5.78 = V1x )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V119e1 ) @ V118l_27 ) ) ) ) )
% 5.55/5.78 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.78 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.78 <=> ? [V120l_27: $i] :
% 5.55/5.78 ( ( mem @ V120l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V121e1: $i] :
% 5.55/5.78 ( ( mem @ V121e1 @ A_27a )
% 5.55/5.78 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V120l_27 ) )
% 5.55/5.78 = V1x )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V121e1 ) @ V120l_27 ) ) ) ) )
% 5.55/5.78 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.78 = fo__c_2Enum_2E0 )
% 5.55/5.78 <=> ( V0l
% 5.55/5.78 = ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.78 & ( ( fo__c_2Enum_2E0
% 5.55/5.78 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.78 <=> ( V0l
% 5.55/5.78 = ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.78 <=> ( V0l
% 5.55/5.78 = ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.78 <=> ( V0l
% 5.55/5.78 = ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.78 <=> ( V0l
% 5.55/5.78 = ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.55/5.78 <=> ( V0l
% 5.55/5.78 = ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ).
% 5.55/5.78
% 5.55/5.78 thf(conj_thm_2EquantHeuristics_2ELIST__LENGTH__4,axiom,
% 5.55/5.78 ! [A_27a: del,V0l: $i] :
% 5.55/5.78 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 => ! [V1x: tp__ty_2Enum_2Enum] :
% 5.55/5.78 ( ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.78 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.78 <=> ? [V2e1: $i] :
% 5.55/5.78 ( ( mem @ V2e1 @ A_27a )
% 5.55/5.78 & ? [V3e2: $i] :
% 5.55/5.78 ( ( mem @ V3e2 @ A_27a )
% 5.55/5.78 & ? [V4e3: $i] :
% 5.55/5.78 ( ( mem @ V4e3 @ A_27a )
% 5.55/5.78 & ? [V5e4: $i] :
% 5.55/5.78 ( ( mem @ V5e4 @ A_27a )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V5e4 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.78 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.78 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.78 <=> ? [V6e1: $i] :
% 5.55/5.78 ( ( mem @ V6e1 @ A_27a )
% 5.55/5.78 & ? [V7e2: $i] :
% 5.55/5.78 ( ( mem @ V7e2 @ A_27a )
% 5.55/5.78 & ? [V8e3: $i] :
% 5.55/5.78 ( ( mem @ V8e3 @ A_27a )
% 5.55/5.78 & ? [V9e4: $i] :
% 5.55/5.78 ( ( mem @ V9e4 @ A_27a )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V6e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V7e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V8e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V9e4 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.78 <=> ? [V10l_27: $i] :
% 5.55/5.78 ( ( mem @ V10l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V11e1: $i] :
% 5.55/5.78 ( ( mem @ V11e1 @ A_27a )
% 5.55/5.78 & ? [V12e2: $i] :
% 5.55/5.78 ( ( mem @ V12e2 @ A_27a )
% 5.55/5.78 & ? [V13e3: $i] :
% 5.55/5.78 ( ( mem @ V13e3 @ A_27a )
% 5.55/5.78 & ? [V14e4: $i] :
% 5.55/5.78 ( ( mem @ V14e4 @ A_27a )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V11e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V12e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V13e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V14e4 ) @ V10l_27 ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.78 <=> ? [V15l_27: $i] :
% 5.55/5.78 ( ( mem @ V15l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V16e1: $i] :
% 5.55/5.78 ( ( mem @ V16e1 @ A_27a )
% 5.55/5.78 & ? [V17e2: $i] :
% 5.55/5.78 ( ( mem @ V17e2 @ A_27a )
% 5.55/5.78 & ? [V18e3: $i] :
% 5.55/5.78 ( ( mem @ V18e3 @ A_27a )
% 5.55/5.78 & ? [V19e4: $i] :
% 5.55/5.78 ( ( mem @ V19e4 @ A_27a )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V16e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V17e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V18e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V19e4 ) @ V15l_27 ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.78 <=> ? [V20l_27: $i] :
% 5.55/5.78 ( ( mem @ V20l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V21e1: $i] :
% 5.55/5.78 ( ( mem @ V21e1 @ A_27a )
% 5.55/5.78 & ? [V22e2: $i] :
% 5.55/5.78 ( ( mem @ V22e2 @ A_27a )
% 5.55/5.78 & ? [V23e3: $i] :
% 5.55/5.78 ( ( mem @ V23e3 @ A_27a )
% 5.55/5.78 & ? [V24e4: $i] :
% 5.55/5.78 ( ( mem @ V24e4 @ A_27a )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V21e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V22e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V23e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V24e4 ) @ V20l_27 ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.78 <=> ? [V25l_27: $i] :
% 5.55/5.78 ( ( mem @ V25l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V26e1: $i] :
% 5.55/5.78 ( ( mem @ V26e1 @ A_27a )
% 5.55/5.78 & ? [V27e2: $i] :
% 5.55/5.78 ( ( mem @ V27e2 @ A_27a )
% 5.55/5.78 & ? [V28e3: $i] :
% 5.55/5.78 ( ( mem @ V28e3 @ A_27a )
% 5.55/5.78 & ? [V29e4: $i] :
% 5.55/5.78 ( ( mem @ V29e4 @ A_27a )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V26e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V27e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V28e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V29e4 ) @ V25l_27 ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.78 <=> ? [V30l_27: $i] :
% 5.55/5.78 ( ( mem @ V30l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V31e1: $i] :
% 5.55/5.78 ( ( mem @ V31e1 @ A_27a )
% 5.55/5.78 & ? [V32e2: $i] :
% 5.55/5.78 ( ( mem @ V32e2 @ A_27a )
% 5.55/5.78 & ? [V33e3: $i] :
% 5.55/5.78 ( ( mem @ V33e3 @ A_27a )
% 5.55/5.78 & ? [V34e4: $i] :
% 5.55/5.78 ( ( mem @ V34e4 @ A_27a )
% 5.55/5.78 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V30l_27 ) ) )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V31e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V32e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V33e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V34e4 ) @ V30l_27 ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.78 <=> ? [V35l_27: $i] :
% 5.55/5.78 ( ( mem @ V35l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V36e1: $i] :
% 5.55/5.78 ( ( mem @ V36e1 @ A_27a )
% 5.55/5.78 & ? [V37e2: $i] :
% 5.55/5.78 ( ( mem @ V37e2 @ A_27a )
% 5.55/5.78 & ? [V38e3: $i] :
% 5.55/5.78 ( ( mem @ V38e3 @ A_27a )
% 5.55/5.78 & ? [V39e4: $i] :
% 5.55/5.78 ( ( mem @ V39e4 @ A_27a )
% 5.55/5.78 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V35l_27 ) ) )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V36e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V37e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V38e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V39e4 ) @ V35l_27 ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.78 <=> ? [V40l_27: $i] :
% 5.55/5.78 ( ( mem @ V40l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V41e1: $i] :
% 5.55/5.78 ( ( mem @ V41e1 @ A_27a )
% 5.55/5.78 & ? [V42e2: $i] :
% 5.55/5.78 ( ( mem @ V42e2 @ A_27a )
% 5.55/5.78 & ? [V43e3: $i] :
% 5.55/5.78 ( ( mem @ V43e3 @ A_27a )
% 5.55/5.78 & ? [V44e4: $i] :
% 5.55/5.78 ( ( mem @ V44e4 @ A_27a )
% 5.55/5.78 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V40l_27 ) ) )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V41e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V42e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V43e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V44e4 ) @ V40l_27 ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.78 <=> ? [V45l_27: $i] :
% 5.55/5.78 ( ( mem @ V45l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V46e1: $i] :
% 5.55/5.78 ( ( mem @ V46e1 @ A_27a )
% 5.55/5.78 & ? [V47e2: $i] :
% 5.55/5.78 ( ( mem @ V47e2 @ A_27a )
% 5.55/5.78 & ? [V48e3: $i] :
% 5.55/5.78 ( ( mem @ V48e3 @ A_27a )
% 5.55/5.78 & ? [V49e4: $i] :
% 5.55/5.78 ( ( mem @ V49e4 @ A_27a )
% 5.55/5.78 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V45l_27 ) ) )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V46e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V47e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V48e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V49e4 ) @ V45l_27 ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.78 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.78 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.78 <=> ? [V50l_27: $i] :
% 5.55/5.78 ( ( mem @ V50l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V51e1: $i] :
% 5.55/5.78 ( ( mem @ V51e1 @ A_27a )
% 5.55/5.78 & ? [V52e2: $i] :
% 5.55/5.78 ( ( mem @ V52e2 @ A_27a )
% 5.55/5.78 & ? [V53e3: $i] :
% 5.55/5.78 ( ( mem @ V53e3 @ A_27a )
% 5.55/5.78 & ? [V54e4: $i] :
% 5.55/5.78 ( ( mem @ V54e4 @ A_27a )
% 5.55/5.78 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V50l_27 ) )
% 5.55/5.78 = V1x )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V51e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V52e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V53e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V54e4 ) @ V50l_27 ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.78 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.55/5.78 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.78 <=> ? [V55l_27: $i] :
% 5.55/5.78 ( ( mem @ V55l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V56e1: $i] :
% 5.55/5.78 ( ( mem @ V56e1 @ A_27a )
% 5.55/5.78 & ? [V57e2: $i] :
% 5.55/5.78 ( ( mem @ V57e2 @ A_27a )
% 5.55/5.78 & ? [V58e3: $i] :
% 5.55/5.78 ( ( mem @ V58e3 @ A_27a )
% 5.55/5.78 & ? [V59e4: $i] :
% 5.55/5.78 ( ( mem @ V59e4 @ A_27a )
% 5.55/5.78 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V55l_27 ) )
% 5.55/5.78 = V1x )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V56e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V57e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V58e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V59e4 ) @ V55l_27 ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.78 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.78 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.78 <=> ? [V60l_27: $i] :
% 5.55/5.78 ( ( mem @ V60l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V61e1: $i] :
% 5.55/5.78 ( ( mem @ V61e1 @ A_27a )
% 5.55/5.78 & ? [V62e2: $i] :
% 5.55/5.78 ( ( mem @ V62e2 @ A_27a )
% 5.55/5.78 & ? [V63e3: $i] :
% 5.55/5.78 ( ( mem @ V63e3 @ A_27a )
% 5.55/5.78 & ? [V64e4: $i] :
% 5.55/5.78 ( ( mem @ V64e4 @ A_27a )
% 5.55/5.78 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V60l_27 ) )
% 5.55/5.78 = V1x )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V61e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V62e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V63e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V64e4 ) @ V60l_27 ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.78 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.78 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.78 <=> ? [V65l_27: $i] :
% 5.55/5.78 ( ( mem @ V65l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V66e1: $i] :
% 5.55/5.78 ( ( mem @ V66e1 @ A_27a )
% 5.55/5.78 & ? [V67e2: $i] :
% 5.55/5.78 ( ( mem @ V67e2 @ A_27a )
% 5.55/5.78 & ? [V68e3: $i] :
% 5.55/5.78 ( ( mem @ V68e3 @ A_27a )
% 5.55/5.78 & ? [V69e4: $i] :
% 5.55/5.78 ( ( mem @ V69e4 @ A_27a )
% 5.55/5.78 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V65l_27 ) )
% 5.55/5.78 = V1x )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V66e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V67e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V68e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V69e4 ) @ V65l_27 ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.78 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.78 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.78 <=> ? [V70e1: $i] :
% 5.55/5.78 ( ( mem @ V70e1 @ A_27a )
% 5.55/5.78 & ? [V71e2: $i] :
% 5.55/5.78 ( ( mem @ V71e2 @ A_27a )
% 5.55/5.78 & ? [V72e3: $i] :
% 5.55/5.78 ( ( mem @ V72e3 @ A_27a )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V70e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V71e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V72e3 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) )
% 5.55/5.78 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.78 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.78 <=> ? [V73e1: $i] :
% 5.55/5.78 ( ( mem @ V73e1 @ A_27a )
% 5.55/5.78 & ? [V74e2: $i] :
% 5.55/5.78 ( ( mem @ V74e2 @ A_27a )
% 5.55/5.78 & ? [V75e3: $i] :
% 5.55/5.78 ( ( mem @ V75e3 @ A_27a )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V73e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V74e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V75e3 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.78 <=> ? [V76l_27: $i] :
% 5.55/5.78 ( ( mem @ V76l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V77e1: $i] :
% 5.55/5.78 ( ( mem @ V77e1 @ A_27a )
% 5.55/5.78 & ? [V78e2: $i] :
% 5.55/5.78 ( ( mem @ V78e2 @ A_27a )
% 5.55/5.78 & ? [V79e3: $i] :
% 5.55/5.78 ( ( mem @ V79e3 @ A_27a )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V77e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V78e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V79e3 ) @ V76l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.78 <=> ? [V80l_27: $i] :
% 5.55/5.78 ( ( mem @ V80l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V81e1: $i] :
% 5.55/5.78 ( ( mem @ V81e1 @ A_27a )
% 5.55/5.78 & ? [V82e2: $i] :
% 5.55/5.78 ( ( mem @ V82e2 @ A_27a )
% 5.55/5.78 & ? [V83e3: $i] :
% 5.55/5.78 ( ( mem @ V83e3 @ A_27a )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V81e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V82e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V83e3 ) @ V80l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.78 <=> ? [V84l_27: $i] :
% 5.55/5.78 ( ( mem @ V84l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V85e1: $i] :
% 5.55/5.78 ( ( mem @ V85e1 @ A_27a )
% 5.55/5.78 & ? [V86e2: $i] :
% 5.55/5.78 ( ( mem @ V86e2 @ A_27a )
% 5.55/5.78 & ? [V87e3: $i] :
% 5.55/5.78 ( ( mem @ V87e3 @ A_27a )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V85e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V86e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V87e3 ) @ V84l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.78 <=> ? [V88l_27: $i] :
% 5.55/5.78 ( ( mem @ V88l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V89e1: $i] :
% 5.55/5.78 ( ( mem @ V89e1 @ A_27a )
% 5.55/5.78 & ? [V90e2: $i] :
% 5.55/5.78 ( ( mem @ V90e2 @ A_27a )
% 5.55/5.78 & ? [V91e3: $i] :
% 5.55/5.78 ( ( mem @ V91e3 @ A_27a )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V89e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V90e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V91e3 ) @ V88l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.78 <=> ? [V92l_27: $i] :
% 5.55/5.78 ( ( mem @ V92l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V93e1: $i] :
% 5.55/5.78 ( ( mem @ V93e1 @ A_27a )
% 5.55/5.78 & ? [V94e2: $i] :
% 5.55/5.78 ( ( mem @ V94e2 @ A_27a )
% 5.55/5.78 & ? [V95e3: $i] :
% 5.55/5.78 ( ( mem @ V95e3 @ A_27a )
% 5.55/5.78 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V92l_27 ) ) )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V93e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V94e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V95e3 ) @ V92l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.78 <=> ? [V96l_27: $i] :
% 5.55/5.78 ( ( mem @ V96l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V97e1: $i] :
% 5.55/5.78 ( ( mem @ V97e1 @ A_27a )
% 5.55/5.78 & ? [V98e2: $i] :
% 5.55/5.78 ( ( mem @ V98e2 @ A_27a )
% 5.55/5.78 & ? [V99e3: $i] :
% 5.55/5.78 ( ( mem @ V99e3 @ A_27a )
% 5.55/5.78 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V96l_27 ) ) )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V97e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V98e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V99e3 ) @ V96l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.78 <=> ? [V100l_27: $i] :
% 5.55/5.78 ( ( mem @ V100l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V101e1: $i] :
% 5.55/5.78 ( ( mem @ V101e1 @ A_27a )
% 5.55/5.78 & ? [V102e2: $i] :
% 5.55/5.78 ( ( mem @ V102e2 @ A_27a )
% 5.55/5.78 & ? [V103e3: $i] :
% 5.55/5.78 ( ( mem @ V103e3 @ A_27a )
% 5.55/5.78 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V100l_27 ) ) )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V101e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V102e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V103e3 ) @ V100l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.78 <=> ? [V104l_27: $i] :
% 5.55/5.78 ( ( mem @ V104l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V105e1: $i] :
% 5.55/5.78 ( ( mem @ V105e1 @ A_27a )
% 5.55/5.78 & ? [V106e2: $i] :
% 5.55/5.78 ( ( mem @ V106e2 @ A_27a )
% 5.55/5.78 & ? [V107e3: $i] :
% 5.55/5.78 ( ( mem @ V107e3 @ A_27a )
% 5.55/5.78 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V104l_27 ) ) )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V105e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V106e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V107e3 ) @ V104l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.78 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.78 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.78 <=> ? [V108l_27: $i] :
% 5.55/5.78 ( ( mem @ V108l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V109e1: $i] :
% 5.55/5.78 ( ( mem @ V109e1 @ A_27a )
% 5.55/5.78 & ? [V110e2: $i] :
% 5.55/5.78 ( ( mem @ V110e2 @ A_27a )
% 5.55/5.78 & ? [V111e3: $i] :
% 5.55/5.78 ( ( mem @ V111e3 @ A_27a )
% 5.55/5.78 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V108l_27 ) )
% 5.55/5.78 = V1x )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V109e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V110e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V111e3 ) @ V108l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.78 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.55/5.78 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.78 <=> ? [V112l_27: $i] :
% 5.55/5.78 ( ( mem @ V112l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V113e1: $i] :
% 5.55/5.78 ( ( mem @ V113e1 @ A_27a )
% 5.55/5.78 & ? [V114e2: $i] :
% 5.55/5.78 ( ( mem @ V114e2 @ A_27a )
% 5.55/5.78 & ? [V115e3: $i] :
% 5.55/5.78 ( ( mem @ V115e3 @ A_27a )
% 5.55/5.78 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V112l_27 ) )
% 5.55/5.78 = V1x )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V113e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V114e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V115e3 ) @ V112l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.78 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.78 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.78 <=> ? [V116l_27: $i] :
% 5.55/5.78 ( ( mem @ V116l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V117e1: $i] :
% 5.55/5.78 ( ( mem @ V117e1 @ A_27a )
% 5.55/5.78 & ? [V118e2: $i] :
% 5.55/5.78 ( ( mem @ V118e2 @ A_27a )
% 5.55/5.78 & ? [V119e3: $i] :
% 5.55/5.78 ( ( mem @ V119e3 @ A_27a )
% 5.55/5.78 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V116l_27 ) )
% 5.55/5.78 = V1x )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V117e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V118e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V119e3 ) @ V116l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.78 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.78 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.78 <=> ? [V120l_27: $i] :
% 5.55/5.78 ( ( mem @ V120l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V121e1: $i] :
% 5.55/5.78 ( ( mem @ V121e1 @ A_27a )
% 5.55/5.78 & ? [V122e2: $i] :
% 5.55/5.78 ( ( mem @ V122e2 @ A_27a )
% 5.55/5.78 & ? [V123e3: $i] :
% 5.55/5.78 ( ( mem @ V123e3 @ A_27a )
% 5.55/5.78 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V120l_27 ) )
% 5.55/5.78 = V1x )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V121e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V122e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V123e3 ) @ V120l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.78 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.78 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.78 <=> ? [V124e1: $i] :
% 5.55/5.78 ( ( mem @ V124e1 @ A_27a )
% 5.55/5.78 & ? [V125e2: $i] :
% 5.55/5.78 ( ( mem @ V125e2 @ A_27a )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V124e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V125e2 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) )
% 5.55/5.78 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) )
% 5.55/5.78 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.78 <=> ? [V126e1: $i] :
% 5.55/5.78 ( ( mem @ V126e1 @ A_27a )
% 5.55/5.78 & ? [V127e2: $i] :
% 5.55/5.78 ( ( mem @ V127e2 @ A_27a )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V126e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V127e2 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.78 <=> ? [V128l_27: $i] :
% 5.55/5.78 ( ( mem @ V128l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V129e1: $i] :
% 5.55/5.78 ( ( mem @ V129e1 @ A_27a )
% 5.55/5.78 & ? [V130e2: $i] :
% 5.55/5.78 ( ( mem @ V130e2 @ A_27a )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V129e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V130e2 ) @ V128l_27 ) ) ) ) ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.78 <=> ? [V131l_27: $i] :
% 5.55/5.78 ( ( mem @ V131l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V132e1: $i] :
% 5.55/5.78 ( ( mem @ V132e1 @ A_27a )
% 5.55/5.78 & ? [V133e2: $i] :
% 5.55/5.78 ( ( mem @ V133e2 @ A_27a )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V132e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V133e2 ) @ V131l_27 ) ) ) ) ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.78 <=> ? [V134l_27: $i] :
% 5.55/5.78 ( ( mem @ V134l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V135e1: $i] :
% 5.55/5.78 ( ( mem @ V135e1 @ A_27a )
% 5.55/5.78 & ? [V136e2: $i] :
% 5.55/5.78 ( ( mem @ V136e2 @ A_27a )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V135e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V136e2 ) @ V134l_27 ) ) ) ) ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.78 <=> ? [V137l_27: $i] :
% 5.55/5.78 ( ( mem @ V137l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V138e1: $i] :
% 5.55/5.78 ( ( mem @ V138e1 @ A_27a )
% 5.55/5.78 & ? [V139e2: $i] :
% 5.55/5.78 ( ( mem @ V139e2 @ A_27a )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V138e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V139e2 ) @ V137l_27 ) ) ) ) ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.78 <=> ? [V140l_27: $i] :
% 5.55/5.78 ( ( mem @ V140l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V141e1: $i] :
% 5.55/5.78 ( ( mem @ V141e1 @ A_27a )
% 5.55/5.78 & ? [V142e2: $i] :
% 5.55/5.78 ( ( mem @ V142e2 @ A_27a )
% 5.55/5.78 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V140l_27 ) ) )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V141e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V142e2 ) @ V140l_27 ) ) ) ) ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.78 <=> ? [V143l_27: $i] :
% 5.55/5.78 ( ( mem @ V143l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V144e1: $i] :
% 5.55/5.78 ( ( mem @ V144e1 @ A_27a )
% 5.55/5.78 & ? [V145e2: $i] :
% 5.55/5.78 ( ( mem @ V145e2 @ A_27a )
% 5.55/5.78 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V143l_27 ) ) )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V144e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V145e2 ) @ V143l_27 ) ) ) ) ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.78 <=> ? [V146l_27: $i] :
% 5.55/5.78 ( ( mem @ V146l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V147e1: $i] :
% 5.55/5.78 ( ( mem @ V147e1 @ A_27a )
% 5.55/5.78 & ? [V148e2: $i] :
% 5.55/5.78 ( ( mem @ V148e2 @ A_27a )
% 5.55/5.78 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V146l_27 ) ) )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V147e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V148e2 ) @ V146l_27 ) ) ) ) ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.78 <=> ? [V149l_27: $i] :
% 5.55/5.78 ( ( mem @ V149l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V150e1: $i] :
% 5.55/5.78 ( ( mem @ V150e1 @ A_27a )
% 5.55/5.78 & ? [V151e2: $i] :
% 5.55/5.78 ( ( mem @ V151e2 @ A_27a )
% 5.55/5.78 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V149l_27 ) ) )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V150e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V151e2 ) @ V149l_27 ) ) ) ) ) ) )
% 5.55/5.78 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.78 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.78 <=> ? [V152l_27: $i] :
% 5.55/5.78 ( ( mem @ V152l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V153e1: $i] :
% 5.55/5.78 ( ( mem @ V153e1 @ A_27a )
% 5.55/5.78 & ? [V154e2: $i] :
% 5.55/5.78 ( ( mem @ V154e2 @ A_27a )
% 5.55/5.78 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V152l_27 ) )
% 5.55/5.78 = V1x )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V153e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V154e2 ) @ V152l_27 ) ) ) ) ) ) )
% 5.55/5.78 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.55/5.78 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.78 <=> ? [V155l_27: $i] :
% 5.55/5.78 ( ( mem @ V155l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V156e1: $i] :
% 5.55/5.78 ( ( mem @ V156e1 @ A_27a )
% 5.55/5.78 & ? [V157e2: $i] :
% 5.55/5.78 ( ( mem @ V157e2 @ A_27a )
% 5.55/5.78 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V155l_27 ) )
% 5.55/5.78 = V1x )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V156e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V157e2 ) @ V155l_27 ) ) ) ) ) ) )
% 5.55/5.78 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.78 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.78 <=> ? [V158l_27: $i] :
% 5.55/5.78 ( ( mem @ V158l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V159e1: $i] :
% 5.55/5.78 ( ( mem @ V159e1 @ A_27a )
% 5.55/5.78 & ? [V160e2: $i] :
% 5.55/5.78 ( ( mem @ V160e2 @ A_27a )
% 5.55/5.78 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V158l_27 ) )
% 5.55/5.78 = V1x )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V159e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V160e2 ) @ V158l_27 ) ) ) ) ) ) )
% 5.55/5.78 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.78 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.78 <=> ? [V161l_27: $i] :
% 5.55/5.78 ( ( mem @ V161l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V162e1: $i] :
% 5.55/5.78 ( ( mem @ V162e1 @ A_27a )
% 5.55/5.78 & ? [V163e2: $i] :
% 5.55/5.78 ( ( mem @ V163e2 @ A_27a )
% 5.55/5.78 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V161l_27 ) )
% 5.55/5.78 = V1x )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V162e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V163e2 ) @ V161l_27 ) ) ) ) ) ) )
% 5.55/5.78 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.78 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.78 <=> ? [V164e1: $i] :
% 5.55/5.78 ( ( mem @ V164e1 @ A_27a )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V164e1 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) )
% 5.55/5.78 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) )
% 5.55/5.78 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.78 <=> ? [V165e1: $i] :
% 5.55/5.78 ( ( mem @ V165e1 @ A_27a )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V165e1 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.78 <=> ? [V166l_27: $i] :
% 5.55/5.78 ( ( mem @ V166l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V167e1: $i] :
% 5.55/5.78 ( ( mem @ V167e1 @ A_27a )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V167e1 ) @ V166l_27 ) ) ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.55/5.78 <=> ? [V168l_27: $i] :
% 5.55/5.78 ( ( mem @ V168l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V169e1: $i] :
% 5.55/5.78 ( ( mem @ V169e1 @ A_27a )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V169e1 ) @ V168l_27 ) ) ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.78 <=> ? [V170l_27: $i] :
% 5.55/5.78 ( ( mem @ V170l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V171e1: $i] :
% 5.55/5.78 ( ( mem @ V171e1 @ A_27a )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V171e1 ) @ V170l_27 ) ) ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.78 <=> ? [V172l_27: $i] :
% 5.55/5.78 ( ( mem @ V172l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V173e1: $i] :
% 5.55/5.78 ( ( mem @ V173e1 @ A_27a )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V173e1 ) @ V172l_27 ) ) ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.78 <=> ? [V174l_27: $i] :
% 5.55/5.78 ( ( mem @ V174l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V175e1: $i] :
% 5.55/5.78 ( ( mem @ V175e1 @ A_27a )
% 5.55/5.78 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V174l_27 ) ) )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V175e1 ) @ V174l_27 ) ) ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.78 <=> ? [V176l_27: $i] :
% 5.55/5.78 ( ( mem @ V176l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V177e1: $i] :
% 5.55/5.78 ( ( mem @ V177e1 @ A_27a )
% 5.55/5.78 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V176l_27 ) ) )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V177e1 ) @ V176l_27 ) ) ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.78 <=> ? [V178l_27: $i] :
% 5.55/5.78 ( ( mem @ V178l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V179e1: $i] :
% 5.55/5.78 ( ( mem @ V179e1 @ A_27a )
% 5.55/5.78 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V178l_27 ) ) )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V179e1 ) @ V178l_27 ) ) ) ) )
% 5.55/5.78 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.78 <=> ? [V180l_27: $i] :
% 5.55/5.78 ( ( mem @ V180l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V181e1: $i] :
% 5.55/5.78 ( ( mem @ V181e1 @ A_27a )
% 5.55/5.78 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V180l_27 ) ) )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V181e1 ) @ V180l_27 ) ) ) ) )
% 5.55/5.78 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.78 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.78 <=> ? [V182l_27: $i] :
% 5.55/5.78 ( ( mem @ V182l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V183e1: $i] :
% 5.55/5.78 ( ( mem @ V183e1 @ A_27a )
% 5.55/5.78 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V182l_27 ) )
% 5.55/5.78 = V1x )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V183e1 ) @ V182l_27 ) ) ) ) )
% 5.55/5.78 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.55/5.78 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.78 <=> ? [V184l_27: $i] :
% 5.55/5.78 ( ( mem @ V184l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V185e1: $i] :
% 5.55/5.78 ( ( mem @ V185e1 @ A_27a )
% 5.55/5.78 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V184l_27 ) )
% 5.55/5.78 = V1x )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V185e1 ) @ V184l_27 ) ) ) ) )
% 5.55/5.78 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.78 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.78 <=> ? [V186l_27: $i] :
% 5.55/5.78 ( ( mem @ V186l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.78 & ? [V187e1: $i] :
% 5.55/5.78 ( ( mem @ V187e1 @ A_27a )
% 5.55/5.78 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V186l_27 ) )
% 5.55/5.78 = V1x )
% 5.55/5.78 & ( V0l
% 5.55/5.78 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V187e1 ) @ V186l_27 ) ) ) ) )
% 5.55/5.78 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V188l_27: $i] :
% 5.55/5.79 ( ( mem @ V188l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V189e1: $i] :
% 5.55/5.79 ( ( mem @ V189e1 @ A_27a )
% 5.55/5.79 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V188l_27 ) )
% 5.55/5.79 = V1x )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V189e1 ) @ V188l_27 ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.79 = fo__c_2Enum_2E0 )
% 5.55/5.79 <=> ( V0l
% 5.55/5.79 = ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.79 & ( ( fo__c_2Enum_2E0
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ( V0l
% 5.55/5.79 = ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.79 <=> ( V0l
% 5.55/5.79 = ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ( V0l
% 5.55/5.79 = ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ( V0l
% 5.55/5.79 = ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.55/5.79 <=> ( V0l
% 5.55/5.79 = ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ).
% 5.55/5.79
% 5.55/5.79 thf(conj_thm_2EquantHeuristics_2ELIST__LENGTH__5,axiom,
% 5.55/5.79 ! [A_27a: del,V0l: $i] :
% 5.55/5.79 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 => ! [V1x: tp__ty_2Enum_2Enum] :
% 5.55/5.79 ( ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.79 <=> ? [V2e1: $i] :
% 5.55/5.79 ( ( mem @ V2e1 @ A_27a )
% 5.55/5.79 & ? [V3e2: $i] :
% 5.55/5.79 ( ( mem @ V3e2 @ A_27a )
% 5.55/5.79 & ? [V4e3: $i] :
% 5.55/5.79 ( ( mem @ V4e3 @ A_27a )
% 5.55/5.79 & ? [V5e4: $i] :
% 5.55/5.79 ( ( mem @ V5e4 @ A_27a )
% 5.55/5.79 & ? [V6e5: $i] :
% 5.55/5.79 ( ( mem @ V6e5 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V5e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V6e5 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V7e1: $i] :
% 5.55/5.79 ( ( mem @ V7e1 @ A_27a )
% 5.55/5.79 & ? [V8e2: $i] :
% 5.55/5.79 ( ( mem @ V8e2 @ A_27a )
% 5.55/5.79 & ? [V9e3: $i] :
% 5.55/5.79 ( ( mem @ V9e3 @ A_27a )
% 5.55/5.79 & ? [V10e4: $i] :
% 5.55/5.79 ( ( mem @ V10e4 @ A_27a )
% 5.55/5.79 & ? [V11e5: $i] :
% 5.55/5.79 ( ( mem @ V11e5 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V7e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V8e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V9e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V10e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V11e5 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V12l_27: $i] :
% 5.55/5.79 ( ( mem @ V12l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V13e1: $i] :
% 5.55/5.79 ( ( mem @ V13e1 @ A_27a )
% 5.55/5.79 & ? [V14e2: $i] :
% 5.55/5.79 ( ( mem @ V14e2 @ A_27a )
% 5.55/5.79 & ? [V15e3: $i] :
% 5.55/5.79 ( ( mem @ V15e3 @ A_27a )
% 5.55/5.79 & ? [V16e4: $i] :
% 5.55/5.79 ( ( mem @ V16e4 @ A_27a )
% 5.55/5.79 & ? [V17e5: $i] :
% 5.55/5.79 ( ( mem @ V17e5 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V13e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V14e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V15e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V16e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V17e5 ) @ V12l_27 ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.79 <=> ? [V18l_27: $i] :
% 5.55/5.79 ( ( mem @ V18l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V19e1: $i] :
% 5.55/5.79 ( ( mem @ V19e1 @ A_27a )
% 5.55/5.79 & ? [V20e2: $i] :
% 5.55/5.79 ( ( mem @ V20e2 @ A_27a )
% 5.55/5.79 & ? [V21e3: $i] :
% 5.55/5.79 ( ( mem @ V21e3 @ A_27a )
% 5.55/5.79 & ? [V22e4: $i] :
% 5.55/5.79 ( ( mem @ V22e4 @ A_27a )
% 5.55/5.79 & ? [V23e5: $i] :
% 5.55/5.79 ( ( mem @ V23e5 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V19e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V20e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V21e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V22e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V23e5 ) @ V18l_27 ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V24l_27: $i] :
% 5.55/5.79 ( ( mem @ V24l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V25e1: $i] :
% 5.55/5.79 ( ( mem @ V25e1 @ A_27a )
% 5.55/5.79 & ? [V26e2: $i] :
% 5.55/5.79 ( ( mem @ V26e2 @ A_27a )
% 5.55/5.79 & ? [V27e3: $i] :
% 5.55/5.79 ( ( mem @ V27e3 @ A_27a )
% 5.55/5.79 & ? [V28e4: $i] :
% 5.55/5.79 ( ( mem @ V28e4 @ A_27a )
% 5.55/5.79 & ? [V29e5: $i] :
% 5.55/5.79 ( ( mem @ V29e5 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V25e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V26e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V27e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V28e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V29e5 ) @ V24l_27 ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.79 <=> ? [V30l_27: $i] :
% 5.55/5.79 ( ( mem @ V30l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V31e1: $i] :
% 5.55/5.79 ( ( mem @ V31e1 @ A_27a )
% 5.55/5.79 & ? [V32e2: $i] :
% 5.55/5.79 ( ( mem @ V32e2 @ A_27a )
% 5.55/5.79 & ? [V33e3: $i] :
% 5.55/5.79 ( ( mem @ V33e3 @ A_27a )
% 5.55/5.79 & ? [V34e4: $i] :
% 5.55/5.79 ( ( mem @ V34e4 @ A_27a )
% 5.55/5.79 & ? [V35e5: $i] :
% 5.55/5.79 ( ( mem @ V35e5 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V31e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V32e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V33e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V34e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V35e5 ) @ V30l_27 ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V36l_27: $i] :
% 5.55/5.79 ( ( mem @ V36l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V37e1: $i] :
% 5.55/5.79 ( ( mem @ V37e1 @ A_27a )
% 5.55/5.79 & ? [V38e2: $i] :
% 5.55/5.79 ( ( mem @ V38e2 @ A_27a )
% 5.55/5.79 & ? [V39e3: $i] :
% 5.55/5.79 ( ( mem @ V39e3 @ A_27a )
% 5.55/5.79 & ? [V40e4: $i] :
% 5.55/5.79 ( ( mem @ V40e4 @ A_27a )
% 5.55/5.79 & ? [V41e5: $i] :
% 5.55/5.79 ( ( mem @ V41e5 @ A_27a )
% 5.55/5.79 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V36l_27 ) ) )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V37e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V38e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V39e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V40e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V41e5 ) @ V36l_27 ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.79 <=> ? [V42l_27: $i] :
% 5.55/5.79 ( ( mem @ V42l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V43e1: $i] :
% 5.55/5.79 ( ( mem @ V43e1 @ A_27a )
% 5.55/5.79 & ? [V44e2: $i] :
% 5.55/5.79 ( ( mem @ V44e2 @ A_27a )
% 5.55/5.79 & ? [V45e3: $i] :
% 5.55/5.79 ( ( mem @ V45e3 @ A_27a )
% 5.55/5.79 & ? [V46e4: $i] :
% 5.55/5.79 ( ( mem @ V46e4 @ A_27a )
% 5.55/5.79 & ? [V47e5: $i] :
% 5.55/5.79 ( ( mem @ V47e5 @ A_27a )
% 5.55/5.79 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V42l_27 ) ) )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V43e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V44e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V45e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V46e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V47e5 ) @ V42l_27 ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V48l_27: $i] :
% 5.55/5.79 ( ( mem @ V48l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V49e1: $i] :
% 5.55/5.79 ( ( mem @ V49e1 @ A_27a )
% 5.55/5.79 & ? [V50e2: $i] :
% 5.55/5.79 ( ( mem @ V50e2 @ A_27a )
% 5.55/5.79 & ? [V51e3: $i] :
% 5.55/5.79 ( ( mem @ V51e3 @ A_27a )
% 5.55/5.79 & ? [V52e4: $i] :
% 5.55/5.79 ( ( mem @ V52e4 @ A_27a )
% 5.55/5.79 & ? [V53e5: $i] :
% 5.55/5.79 ( ( mem @ V53e5 @ A_27a )
% 5.55/5.79 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V48l_27 ) ) )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V49e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V50e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V51e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V52e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V53e5 ) @ V48l_27 ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.79 <=> ? [V54l_27: $i] :
% 5.55/5.79 ( ( mem @ V54l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V55e1: $i] :
% 5.55/5.79 ( ( mem @ V55e1 @ A_27a )
% 5.55/5.79 & ? [V56e2: $i] :
% 5.55/5.79 ( ( mem @ V56e2 @ A_27a )
% 5.55/5.79 & ? [V57e3: $i] :
% 5.55/5.79 ( ( mem @ V57e3 @ A_27a )
% 5.55/5.79 & ? [V58e4: $i] :
% 5.55/5.79 ( ( mem @ V58e4 @ A_27a )
% 5.55/5.79 & ? [V59e5: $i] :
% 5.55/5.79 ( ( mem @ V59e5 @ A_27a )
% 5.55/5.79 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V54l_27 ) ) )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V55e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V56e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V57e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V58e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V59e5 ) @ V54l_27 ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.79 <=> ? [V60l_27: $i] :
% 5.55/5.79 ( ( mem @ V60l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V61e1: $i] :
% 5.55/5.79 ( ( mem @ V61e1 @ A_27a )
% 5.55/5.79 & ? [V62e2: $i] :
% 5.55/5.79 ( ( mem @ V62e2 @ A_27a )
% 5.55/5.79 & ? [V63e3: $i] :
% 5.55/5.79 ( ( mem @ V63e3 @ A_27a )
% 5.55/5.79 & ? [V64e4: $i] :
% 5.55/5.79 ( ( mem @ V64e4 @ A_27a )
% 5.55/5.79 & ? [V65e5: $i] :
% 5.55/5.79 ( ( mem @ V65e5 @ A_27a )
% 5.55/5.79 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V60l_27 ) )
% 5.55/5.79 = V1x )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V61e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V62e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V63e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V64e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V65e5 ) @ V60l_27 ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V66l_27: $i] :
% 5.55/5.79 ( ( mem @ V66l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V67e1: $i] :
% 5.55/5.79 ( ( mem @ V67e1 @ A_27a )
% 5.55/5.79 & ? [V68e2: $i] :
% 5.55/5.79 ( ( mem @ V68e2 @ A_27a )
% 5.55/5.79 & ? [V69e3: $i] :
% 5.55/5.79 ( ( mem @ V69e3 @ A_27a )
% 5.55/5.79 & ? [V70e4: $i] :
% 5.55/5.79 ( ( mem @ V70e4 @ A_27a )
% 5.55/5.79 & ? [V71e5: $i] :
% 5.55/5.79 ( ( mem @ V71e5 @ A_27a )
% 5.55/5.79 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V66l_27 ) )
% 5.55/5.79 = V1x )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V67e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V68e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V69e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V70e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V71e5 ) @ V66l_27 ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.79 <=> ? [V72l_27: $i] :
% 5.55/5.79 ( ( mem @ V72l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V73e1: $i] :
% 5.55/5.79 ( ( mem @ V73e1 @ A_27a )
% 5.55/5.79 & ? [V74e2: $i] :
% 5.55/5.79 ( ( mem @ V74e2 @ A_27a )
% 5.55/5.79 & ? [V75e3: $i] :
% 5.55/5.79 ( ( mem @ V75e3 @ A_27a )
% 5.55/5.79 & ? [V76e4: $i] :
% 5.55/5.79 ( ( mem @ V76e4 @ A_27a )
% 5.55/5.79 & ? [V77e5: $i] :
% 5.55/5.79 ( ( mem @ V77e5 @ A_27a )
% 5.55/5.79 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V72l_27 ) )
% 5.55/5.79 = V1x )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V73e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V74e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V75e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V76e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V77e5 ) @ V72l_27 ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V78l_27: $i] :
% 5.55/5.79 ( ( mem @ V78l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V79e1: $i] :
% 5.55/5.79 ( ( mem @ V79e1 @ A_27a )
% 5.55/5.79 & ? [V80e2: $i] :
% 5.55/5.79 ( ( mem @ V80e2 @ A_27a )
% 5.55/5.79 & ? [V81e3: $i] :
% 5.55/5.79 ( ( mem @ V81e3 @ A_27a )
% 5.55/5.79 & ? [V82e4: $i] :
% 5.55/5.79 ( ( mem @ V82e4 @ A_27a )
% 5.55/5.79 & ? [V83e5: $i] :
% 5.55/5.79 ( ( mem @ V83e5 @ A_27a )
% 5.55/5.79 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V78l_27 ) )
% 5.55/5.79 = V1x )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V79e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V80e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V81e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V82e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V83e5 ) @ V78l_27 ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.79 <=> ? [V84e1: $i] :
% 5.55/5.79 ( ( mem @ V84e1 @ A_27a )
% 5.55/5.79 & ? [V85e2: $i] :
% 5.55/5.79 ( ( mem @ V85e2 @ A_27a )
% 5.55/5.79 & ? [V86e3: $i] :
% 5.55/5.79 ( ( mem @ V86e3 @ A_27a )
% 5.55/5.79 & ? [V87e4: $i] :
% 5.55/5.79 ( ( mem @ V87e4 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V84e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V85e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V86e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V87e4 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V88e1: $i] :
% 5.55/5.79 ( ( mem @ V88e1 @ A_27a )
% 5.55/5.79 & ? [V89e2: $i] :
% 5.55/5.79 ( ( mem @ V89e2 @ A_27a )
% 5.55/5.79 & ? [V90e3: $i] :
% 5.55/5.79 ( ( mem @ V90e3 @ A_27a )
% 5.55/5.79 & ? [V91e4: $i] :
% 5.55/5.79 ( ( mem @ V91e4 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V88e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V89e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V90e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V91e4 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V92l_27: $i] :
% 5.55/5.79 ( ( mem @ V92l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V93e1: $i] :
% 5.55/5.79 ( ( mem @ V93e1 @ A_27a )
% 5.55/5.79 & ? [V94e2: $i] :
% 5.55/5.79 ( ( mem @ V94e2 @ A_27a )
% 5.55/5.79 & ? [V95e3: $i] :
% 5.55/5.79 ( ( mem @ V95e3 @ A_27a )
% 5.55/5.79 & ? [V96e4: $i] :
% 5.55/5.79 ( ( mem @ V96e4 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V93e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V94e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V95e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V96e4 ) @ V92l_27 ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.79 <=> ? [V97l_27: $i] :
% 5.55/5.79 ( ( mem @ V97l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V98e1: $i] :
% 5.55/5.79 ( ( mem @ V98e1 @ A_27a )
% 5.55/5.79 & ? [V99e2: $i] :
% 5.55/5.79 ( ( mem @ V99e2 @ A_27a )
% 5.55/5.79 & ? [V100e3: $i] :
% 5.55/5.79 ( ( mem @ V100e3 @ A_27a )
% 5.55/5.79 & ? [V101e4: $i] :
% 5.55/5.79 ( ( mem @ V101e4 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V98e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V99e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V100e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V101e4 ) @ V97l_27 ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V102l_27: $i] :
% 5.55/5.79 ( ( mem @ V102l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V103e1: $i] :
% 5.55/5.79 ( ( mem @ V103e1 @ A_27a )
% 5.55/5.79 & ? [V104e2: $i] :
% 5.55/5.79 ( ( mem @ V104e2 @ A_27a )
% 5.55/5.79 & ? [V105e3: $i] :
% 5.55/5.79 ( ( mem @ V105e3 @ A_27a )
% 5.55/5.79 & ? [V106e4: $i] :
% 5.55/5.79 ( ( mem @ V106e4 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V103e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V104e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V105e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V106e4 ) @ V102l_27 ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.79 <=> ? [V107l_27: $i] :
% 5.55/5.79 ( ( mem @ V107l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V108e1: $i] :
% 5.55/5.79 ( ( mem @ V108e1 @ A_27a )
% 5.55/5.79 & ? [V109e2: $i] :
% 5.55/5.79 ( ( mem @ V109e2 @ A_27a )
% 5.55/5.79 & ? [V110e3: $i] :
% 5.55/5.79 ( ( mem @ V110e3 @ A_27a )
% 5.55/5.79 & ? [V111e4: $i] :
% 5.55/5.79 ( ( mem @ V111e4 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V108e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V109e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V110e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V111e4 ) @ V107l_27 ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V112l_27: $i] :
% 5.55/5.79 ( ( mem @ V112l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V113e1: $i] :
% 5.55/5.79 ( ( mem @ V113e1 @ A_27a )
% 5.55/5.79 & ? [V114e2: $i] :
% 5.55/5.79 ( ( mem @ V114e2 @ A_27a )
% 5.55/5.79 & ? [V115e3: $i] :
% 5.55/5.79 ( ( mem @ V115e3 @ A_27a )
% 5.55/5.79 & ? [V116e4: $i] :
% 5.55/5.79 ( ( mem @ V116e4 @ A_27a )
% 5.55/5.79 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V112l_27 ) ) )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V113e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V114e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V115e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V116e4 ) @ V112l_27 ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.79 <=> ? [V117l_27: $i] :
% 5.55/5.79 ( ( mem @ V117l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V118e1: $i] :
% 5.55/5.79 ( ( mem @ V118e1 @ A_27a )
% 5.55/5.79 & ? [V119e2: $i] :
% 5.55/5.79 ( ( mem @ V119e2 @ A_27a )
% 5.55/5.79 & ? [V120e3: $i] :
% 5.55/5.79 ( ( mem @ V120e3 @ A_27a )
% 5.55/5.79 & ? [V121e4: $i] :
% 5.55/5.79 ( ( mem @ V121e4 @ A_27a )
% 5.55/5.79 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V117l_27 ) ) )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V118e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V119e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V120e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V121e4 ) @ V117l_27 ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V122l_27: $i] :
% 5.55/5.79 ( ( mem @ V122l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V123e1: $i] :
% 5.55/5.79 ( ( mem @ V123e1 @ A_27a )
% 5.55/5.79 & ? [V124e2: $i] :
% 5.55/5.79 ( ( mem @ V124e2 @ A_27a )
% 5.55/5.79 & ? [V125e3: $i] :
% 5.55/5.79 ( ( mem @ V125e3 @ A_27a )
% 5.55/5.79 & ? [V126e4: $i] :
% 5.55/5.79 ( ( mem @ V126e4 @ A_27a )
% 5.55/5.79 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V122l_27 ) ) )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V123e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V124e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V125e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V126e4 ) @ V122l_27 ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.79 <=> ? [V127l_27: $i] :
% 5.55/5.79 ( ( mem @ V127l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V128e1: $i] :
% 5.55/5.79 ( ( mem @ V128e1 @ A_27a )
% 5.55/5.79 & ? [V129e2: $i] :
% 5.55/5.79 ( ( mem @ V129e2 @ A_27a )
% 5.55/5.79 & ? [V130e3: $i] :
% 5.55/5.79 ( ( mem @ V130e3 @ A_27a )
% 5.55/5.79 & ? [V131e4: $i] :
% 5.55/5.79 ( ( mem @ V131e4 @ A_27a )
% 5.55/5.79 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V127l_27 ) ) )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V128e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V129e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V130e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V131e4 ) @ V127l_27 ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.79 <=> ? [V132l_27: $i] :
% 5.55/5.79 ( ( mem @ V132l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V133e1: $i] :
% 5.55/5.79 ( ( mem @ V133e1 @ A_27a )
% 5.55/5.79 & ? [V134e2: $i] :
% 5.55/5.79 ( ( mem @ V134e2 @ A_27a )
% 5.55/5.79 & ? [V135e3: $i] :
% 5.55/5.79 ( ( mem @ V135e3 @ A_27a )
% 5.55/5.79 & ? [V136e4: $i] :
% 5.55/5.79 ( ( mem @ V136e4 @ A_27a )
% 5.55/5.79 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V132l_27 ) )
% 5.55/5.79 = V1x )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V133e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V134e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V135e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V136e4 ) @ V132l_27 ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V137l_27: $i] :
% 5.55/5.79 ( ( mem @ V137l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V138e1: $i] :
% 5.55/5.79 ( ( mem @ V138e1 @ A_27a )
% 5.55/5.79 & ? [V139e2: $i] :
% 5.55/5.79 ( ( mem @ V139e2 @ A_27a )
% 5.55/5.79 & ? [V140e3: $i] :
% 5.55/5.79 ( ( mem @ V140e3 @ A_27a )
% 5.55/5.79 & ? [V141e4: $i] :
% 5.55/5.79 ( ( mem @ V141e4 @ A_27a )
% 5.55/5.79 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V137l_27 ) )
% 5.55/5.79 = V1x )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V138e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V139e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V140e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V141e4 ) @ V137l_27 ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.79 <=> ? [V142l_27: $i] :
% 5.55/5.79 ( ( mem @ V142l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V143e1: $i] :
% 5.55/5.79 ( ( mem @ V143e1 @ A_27a )
% 5.55/5.79 & ? [V144e2: $i] :
% 5.55/5.79 ( ( mem @ V144e2 @ A_27a )
% 5.55/5.79 & ? [V145e3: $i] :
% 5.55/5.79 ( ( mem @ V145e3 @ A_27a )
% 5.55/5.79 & ? [V146e4: $i] :
% 5.55/5.79 ( ( mem @ V146e4 @ A_27a )
% 5.55/5.79 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V142l_27 ) )
% 5.55/5.79 = V1x )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V143e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V144e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V145e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V146e4 ) @ V142l_27 ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V147l_27: $i] :
% 5.55/5.79 ( ( mem @ V147l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V148e1: $i] :
% 5.55/5.79 ( ( mem @ V148e1 @ A_27a )
% 5.55/5.79 & ? [V149e2: $i] :
% 5.55/5.79 ( ( mem @ V149e2 @ A_27a )
% 5.55/5.79 & ? [V150e3: $i] :
% 5.55/5.79 ( ( mem @ V150e3 @ A_27a )
% 5.55/5.79 & ? [V151e4: $i] :
% 5.55/5.79 ( ( mem @ V151e4 @ A_27a )
% 5.55/5.79 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V147l_27 ) )
% 5.55/5.79 = V1x )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V148e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V149e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V150e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V151e4 ) @ V147l_27 ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.79 <=> ? [V152e1: $i] :
% 5.55/5.79 ( ( mem @ V152e1 @ A_27a )
% 5.55/5.79 & ? [V153e2: $i] :
% 5.55/5.79 ( ( mem @ V153e2 @ A_27a )
% 5.55/5.79 & ? [V154e3: $i] :
% 5.55/5.79 ( ( mem @ V154e3 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V152e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V153e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V154e3 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V155e1: $i] :
% 5.55/5.79 ( ( mem @ V155e1 @ A_27a )
% 5.55/5.79 & ? [V156e2: $i] :
% 5.55/5.79 ( ( mem @ V156e2 @ A_27a )
% 5.55/5.79 & ? [V157e3: $i] :
% 5.55/5.79 ( ( mem @ V157e3 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V155e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V156e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V157e3 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V158l_27: $i] :
% 5.55/5.79 ( ( mem @ V158l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V159e1: $i] :
% 5.55/5.79 ( ( mem @ V159e1 @ A_27a )
% 5.55/5.79 & ? [V160e2: $i] :
% 5.55/5.79 ( ( mem @ V160e2 @ A_27a )
% 5.55/5.79 & ? [V161e3: $i] :
% 5.55/5.79 ( ( mem @ V161e3 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V159e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V160e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V161e3 ) @ V158l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.79 <=> ? [V162l_27: $i] :
% 5.55/5.79 ( ( mem @ V162l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V163e1: $i] :
% 5.55/5.79 ( ( mem @ V163e1 @ A_27a )
% 5.55/5.79 & ? [V164e2: $i] :
% 5.55/5.79 ( ( mem @ V164e2 @ A_27a )
% 5.55/5.79 & ? [V165e3: $i] :
% 5.55/5.79 ( ( mem @ V165e3 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V163e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V164e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V165e3 ) @ V162l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V166l_27: $i] :
% 5.55/5.79 ( ( mem @ V166l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V167e1: $i] :
% 5.55/5.79 ( ( mem @ V167e1 @ A_27a )
% 5.55/5.79 & ? [V168e2: $i] :
% 5.55/5.79 ( ( mem @ V168e2 @ A_27a )
% 5.55/5.79 & ? [V169e3: $i] :
% 5.55/5.79 ( ( mem @ V169e3 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V167e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V168e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V169e3 ) @ V166l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.79 <=> ? [V170l_27: $i] :
% 5.55/5.79 ( ( mem @ V170l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V171e1: $i] :
% 5.55/5.79 ( ( mem @ V171e1 @ A_27a )
% 5.55/5.79 & ? [V172e2: $i] :
% 5.55/5.79 ( ( mem @ V172e2 @ A_27a )
% 5.55/5.79 & ? [V173e3: $i] :
% 5.55/5.79 ( ( mem @ V173e3 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V171e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V172e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V173e3 ) @ V170l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V174l_27: $i] :
% 5.55/5.79 ( ( mem @ V174l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V175e1: $i] :
% 5.55/5.79 ( ( mem @ V175e1 @ A_27a )
% 5.55/5.79 & ? [V176e2: $i] :
% 5.55/5.79 ( ( mem @ V176e2 @ A_27a )
% 5.55/5.79 & ? [V177e3: $i] :
% 5.55/5.79 ( ( mem @ V177e3 @ A_27a )
% 5.55/5.79 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V174l_27 ) ) )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V175e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V176e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V177e3 ) @ V174l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.79 <=> ? [V178l_27: $i] :
% 5.55/5.79 ( ( mem @ V178l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V179e1: $i] :
% 5.55/5.79 ( ( mem @ V179e1 @ A_27a )
% 5.55/5.79 & ? [V180e2: $i] :
% 5.55/5.79 ( ( mem @ V180e2 @ A_27a )
% 5.55/5.79 & ? [V181e3: $i] :
% 5.55/5.79 ( ( mem @ V181e3 @ A_27a )
% 5.55/5.79 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V178l_27 ) ) )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V179e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V180e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V181e3 ) @ V178l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V182l_27: $i] :
% 5.55/5.79 ( ( mem @ V182l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V183e1: $i] :
% 5.55/5.79 ( ( mem @ V183e1 @ A_27a )
% 5.55/5.79 & ? [V184e2: $i] :
% 5.55/5.79 ( ( mem @ V184e2 @ A_27a )
% 5.55/5.79 & ? [V185e3: $i] :
% 5.55/5.79 ( ( mem @ V185e3 @ A_27a )
% 5.55/5.79 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V182l_27 ) ) )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V183e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V184e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V185e3 ) @ V182l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.79 <=> ? [V186l_27: $i] :
% 5.55/5.79 ( ( mem @ V186l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V187e1: $i] :
% 5.55/5.79 ( ( mem @ V187e1 @ A_27a )
% 5.55/5.79 & ? [V188e2: $i] :
% 5.55/5.79 ( ( mem @ V188e2 @ A_27a )
% 5.55/5.79 & ? [V189e3: $i] :
% 5.55/5.79 ( ( mem @ V189e3 @ A_27a )
% 5.55/5.79 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V186l_27 ) ) )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V187e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V188e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V189e3 ) @ V186l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.79 <=> ? [V190l_27: $i] :
% 5.55/5.79 ( ( mem @ V190l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V191e1: $i] :
% 5.55/5.79 ( ( mem @ V191e1 @ A_27a )
% 5.55/5.79 & ? [V192e2: $i] :
% 5.55/5.79 ( ( mem @ V192e2 @ A_27a )
% 5.55/5.79 & ? [V193e3: $i] :
% 5.55/5.79 ( ( mem @ V193e3 @ A_27a )
% 5.55/5.79 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V190l_27 ) )
% 5.55/5.79 = V1x )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V191e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V192e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V193e3 ) @ V190l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V194l_27: $i] :
% 5.55/5.79 ( ( mem @ V194l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V195e1: $i] :
% 5.55/5.79 ( ( mem @ V195e1 @ A_27a )
% 5.55/5.79 & ? [V196e2: $i] :
% 5.55/5.79 ( ( mem @ V196e2 @ A_27a )
% 5.55/5.79 & ? [V197e3: $i] :
% 5.55/5.79 ( ( mem @ V197e3 @ A_27a )
% 5.55/5.79 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V194l_27 ) )
% 5.55/5.79 = V1x )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V195e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V196e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V197e3 ) @ V194l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.79 <=> ? [V198l_27: $i] :
% 5.55/5.79 ( ( mem @ V198l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V199e1: $i] :
% 5.55/5.79 ( ( mem @ V199e1 @ A_27a )
% 5.55/5.79 & ? [V200e2: $i] :
% 5.55/5.79 ( ( mem @ V200e2 @ A_27a )
% 5.55/5.79 & ? [V201e3: $i] :
% 5.55/5.79 ( ( mem @ V201e3 @ A_27a )
% 5.55/5.79 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V198l_27 ) )
% 5.55/5.79 = V1x )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V199e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V200e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V201e3 ) @ V198l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V202l_27: $i] :
% 5.55/5.79 ( ( mem @ V202l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V203e1: $i] :
% 5.55/5.79 ( ( mem @ V203e1 @ A_27a )
% 5.55/5.79 & ? [V204e2: $i] :
% 5.55/5.79 ( ( mem @ V204e2 @ A_27a )
% 5.55/5.79 & ? [V205e3: $i] :
% 5.55/5.79 ( ( mem @ V205e3 @ A_27a )
% 5.55/5.79 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V202l_27 ) )
% 5.55/5.79 = V1x )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V203e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V204e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V205e3 ) @ V202l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.79 <=> ? [V206e1: $i] :
% 5.55/5.79 ( ( mem @ V206e1 @ A_27a )
% 5.55/5.79 & ? [V207e2: $i] :
% 5.55/5.79 ( ( mem @ V207e2 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V206e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V207e2 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V208e1: $i] :
% 5.55/5.79 ( ( mem @ V208e1 @ A_27a )
% 5.55/5.79 & ? [V209e2: $i] :
% 5.55/5.79 ( ( mem @ V209e2 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V208e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V209e2 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V210l_27: $i] :
% 5.55/5.79 ( ( mem @ V210l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V211e1: $i] :
% 5.55/5.79 ( ( mem @ V211e1 @ A_27a )
% 5.55/5.79 & ? [V212e2: $i] :
% 5.55/5.79 ( ( mem @ V212e2 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V211e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V212e2 ) @ V210l_27 ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.79 <=> ? [V213l_27: $i] :
% 5.55/5.79 ( ( mem @ V213l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V214e1: $i] :
% 5.55/5.79 ( ( mem @ V214e1 @ A_27a )
% 5.55/5.79 & ? [V215e2: $i] :
% 5.55/5.79 ( ( mem @ V215e2 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V214e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V215e2 ) @ V213l_27 ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V216l_27: $i] :
% 5.55/5.79 ( ( mem @ V216l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V217e1: $i] :
% 5.55/5.79 ( ( mem @ V217e1 @ A_27a )
% 5.55/5.79 & ? [V218e2: $i] :
% 5.55/5.79 ( ( mem @ V218e2 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V217e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V218e2 ) @ V216l_27 ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.79 <=> ? [V219l_27: $i] :
% 5.55/5.79 ( ( mem @ V219l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V220e1: $i] :
% 5.55/5.79 ( ( mem @ V220e1 @ A_27a )
% 5.55/5.79 & ? [V221e2: $i] :
% 5.55/5.79 ( ( mem @ V221e2 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V220e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V221e2 ) @ V219l_27 ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V222l_27: $i] :
% 5.55/5.79 ( ( mem @ V222l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V223e1: $i] :
% 5.55/5.79 ( ( mem @ V223e1 @ A_27a )
% 5.55/5.79 & ? [V224e2: $i] :
% 5.55/5.79 ( ( mem @ V224e2 @ A_27a )
% 5.55/5.79 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V222l_27 ) ) )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V223e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V224e2 ) @ V222l_27 ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.79 <=> ? [V225l_27: $i] :
% 5.55/5.79 ( ( mem @ V225l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V226e1: $i] :
% 5.55/5.79 ( ( mem @ V226e1 @ A_27a )
% 5.55/5.79 & ? [V227e2: $i] :
% 5.55/5.79 ( ( mem @ V227e2 @ A_27a )
% 5.55/5.79 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V225l_27 ) ) )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V226e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V227e2 ) @ V225l_27 ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V228l_27: $i] :
% 5.55/5.79 ( ( mem @ V228l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V229e1: $i] :
% 5.55/5.79 ( ( mem @ V229e1 @ A_27a )
% 5.55/5.79 & ? [V230e2: $i] :
% 5.55/5.79 ( ( mem @ V230e2 @ A_27a )
% 5.55/5.79 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V228l_27 ) ) )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V229e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V230e2 ) @ V228l_27 ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.79 <=> ? [V231l_27: $i] :
% 5.55/5.79 ( ( mem @ V231l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V232e1: $i] :
% 5.55/5.79 ( ( mem @ V232e1 @ A_27a )
% 5.55/5.79 & ? [V233e2: $i] :
% 5.55/5.79 ( ( mem @ V233e2 @ A_27a )
% 5.55/5.79 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V231l_27 ) ) )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V232e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V233e2 ) @ V231l_27 ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.79 <=> ? [V234l_27: $i] :
% 5.55/5.79 ( ( mem @ V234l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V235e1: $i] :
% 5.55/5.79 ( ( mem @ V235e1 @ A_27a )
% 5.55/5.79 & ? [V236e2: $i] :
% 5.55/5.79 ( ( mem @ V236e2 @ A_27a )
% 5.55/5.79 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V234l_27 ) )
% 5.55/5.79 = V1x )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V235e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V236e2 ) @ V234l_27 ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V237l_27: $i] :
% 5.55/5.79 ( ( mem @ V237l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V238e1: $i] :
% 5.55/5.79 ( ( mem @ V238e1 @ A_27a )
% 5.55/5.79 & ? [V239e2: $i] :
% 5.55/5.79 ( ( mem @ V239e2 @ A_27a )
% 5.55/5.79 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V237l_27 ) )
% 5.55/5.79 = V1x )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V238e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V239e2 ) @ V237l_27 ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.79 <=> ? [V240l_27: $i] :
% 5.55/5.79 ( ( mem @ V240l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V241e1: $i] :
% 5.55/5.79 ( ( mem @ V241e1 @ A_27a )
% 5.55/5.79 & ? [V242e2: $i] :
% 5.55/5.79 ( ( mem @ V242e2 @ A_27a )
% 5.55/5.79 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V240l_27 ) )
% 5.55/5.79 = V1x )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V241e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V242e2 ) @ V240l_27 ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V243l_27: $i] :
% 5.55/5.79 ( ( mem @ V243l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V244e1: $i] :
% 5.55/5.79 ( ( mem @ V244e1 @ A_27a )
% 5.55/5.79 & ? [V245e2: $i] :
% 5.55/5.79 ( ( mem @ V245e2 @ A_27a )
% 5.55/5.79 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V243l_27 ) )
% 5.55/5.79 = V1x )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V244e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V245e2 ) @ V243l_27 ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.79 <=> ? [V246e1: $i] :
% 5.55/5.79 ( ( mem @ V246e1 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V246e1 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V247e1: $i] :
% 5.55/5.79 ( ( mem @ V247e1 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V247e1 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V248l_27: $i] :
% 5.55/5.79 ( ( mem @ V248l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V249e1: $i] :
% 5.55/5.79 ( ( mem @ V249e1 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V249e1 ) @ V248l_27 ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.55/5.79 <=> ? [V250l_27: $i] :
% 5.55/5.79 ( ( mem @ V250l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V251e1: $i] :
% 5.55/5.79 ( ( mem @ V251e1 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V251e1 ) @ V250l_27 ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V252l_27: $i] :
% 5.55/5.79 ( ( mem @ V252l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V253e1: $i] :
% 5.55/5.79 ( ( mem @ V253e1 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V253e1 ) @ V252l_27 ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.79 <=> ? [V254l_27: $i] :
% 5.55/5.79 ( ( mem @ V254l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V255e1: $i] :
% 5.55/5.79 ( ( mem @ V255e1 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V255e1 ) @ V254l_27 ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V256l_27: $i] :
% 5.55/5.79 ( ( mem @ V256l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V257e1: $i] :
% 5.55/5.79 ( ( mem @ V257e1 @ A_27a )
% 5.55/5.79 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V256l_27 ) ) )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V257e1 ) @ V256l_27 ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.79 <=> ? [V258l_27: $i] :
% 5.55/5.79 ( ( mem @ V258l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V259e1: $i] :
% 5.55/5.79 ( ( mem @ V259e1 @ A_27a )
% 5.55/5.79 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V258l_27 ) ) )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V259e1 ) @ V258l_27 ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V260l_27: $i] :
% 5.55/5.79 ( ( mem @ V260l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V261e1: $i] :
% 5.55/5.79 ( ( mem @ V261e1 @ A_27a )
% 5.55/5.79 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V260l_27 ) ) )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V261e1 ) @ V260l_27 ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.79 <=> ? [V262l_27: $i] :
% 5.55/5.79 ( ( mem @ V262l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V263e1: $i] :
% 5.55/5.79 ( ( mem @ V263e1 @ A_27a )
% 5.55/5.79 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V262l_27 ) ) )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V263e1 ) @ V262l_27 ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.79 <=> ? [V264l_27: $i] :
% 5.55/5.79 ( ( mem @ V264l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V265e1: $i] :
% 5.55/5.79 ( ( mem @ V265e1 @ A_27a )
% 5.55/5.79 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V264l_27 ) )
% 5.55/5.79 = V1x )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V265e1 ) @ V264l_27 ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V266l_27: $i] :
% 5.55/5.79 ( ( mem @ V266l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V267e1: $i] :
% 5.55/5.79 ( ( mem @ V267e1 @ A_27a )
% 5.55/5.79 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V266l_27 ) )
% 5.55/5.79 = V1x )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V267e1 ) @ V266l_27 ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.79 <=> ? [V268l_27: $i] :
% 5.55/5.79 ( ( mem @ V268l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V269e1: $i] :
% 5.55/5.79 ( ( mem @ V269e1 @ A_27a )
% 5.55/5.79 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V268l_27 ) )
% 5.55/5.79 = V1x )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V269e1 ) @ V268l_27 ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V270l_27: $i] :
% 5.55/5.79 ( ( mem @ V270l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V271e1: $i] :
% 5.55/5.79 ( ( mem @ V271e1 @ A_27a )
% 5.55/5.79 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V270l_27 ) )
% 5.55/5.79 = V1x )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V271e1 ) @ V270l_27 ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.79 = fo__c_2Enum_2E0 )
% 5.55/5.79 <=> ( V0l
% 5.55/5.79 = ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.79 & ( ( fo__c_2Enum_2E0
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ( V0l
% 5.55/5.79 = ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.79 <=> ( V0l
% 5.55/5.79 = ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ( V0l
% 5.55/5.79 = ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ( V0l
% 5.55/5.79 = ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.55/5.79 <=> ( V0l
% 5.55/5.79 = ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ).
% 5.55/5.79
% 5.55/5.79 thf(conj_thm_2EquantHeuristics_2ELIST__LENGTH__7,axiom,
% 5.55/5.79 ! [A_27a: del,V0l: $i] :
% 5.55/5.79 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 => ! [V1x: tp__ty_2Enum_2Enum] :
% 5.55/5.79 ( ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.79 <=> ? [V2e1: $i] :
% 5.55/5.79 ( ( mem @ V2e1 @ A_27a )
% 5.55/5.79 & ? [V3e2: $i] :
% 5.55/5.79 ( ( mem @ V3e2 @ A_27a )
% 5.55/5.79 & ? [V4e3: $i] :
% 5.55/5.79 ( ( mem @ V4e3 @ A_27a )
% 5.55/5.79 & ? [V5e4: $i] :
% 5.55/5.79 ( ( mem @ V5e4 @ A_27a )
% 5.55/5.79 & ? [V6e5: $i] :
% 5.55/5.79 ( ( mem @ V6e5 @ A_27a )
% 5.55/5.79 & ? [V7e6: $i] :
% 5.55/5.79 ( ( mem @ V7e6 @ A_27a )
% 5.55/5.79 & ? [V8e7: $i] :
% 5.55/5.79 ( ( mem @ V8e7 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V5e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V6e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V7e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V8e7 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V9e1: $i] :
% 5.55/5.79 ( ( mem @ V9e1 @ A_27a )
% 5.55/5.79 & ? [V10e2: $i] :
% 5.55/5.79 ( ( mem @ V10e2 @ A_27a )
% 5.55/5.79 & ? [V11e3: $i] :
% 5.55/5.79 ( ( mem @ V11e3 @ A_27a )
% 5.55/5.79 & ? [V12e4: $i] :
% 5.55/5.79 ( ( mem @ V12e4 @ A_27a )
% 5.55/5.79 & ? [V13e5: $i] :
% 5.55/5.79 ( ( mem @ V13e5 @ A_27a )
% 5.55/5.79 & ? [V14e6: $i] :
% 5.55/5.79 ( ( mem @ V14e6 @ A_27a )
% 5.55/5.79 & ? [V15e7: $i] :
% 5.55/5.79 ( ( mem @ V15e7 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V9e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V10e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V11e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V12e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V13e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V14e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V15e7 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V16l_27: $i] :
% 5.55/5.79 ( ( mem @ V16l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V17e1: $i] :
% 5.55/5.79 ( ( mem @ V17e1 @ A_27a )
% 5.55/5.79 & ? [V18e2: $i] :
% 5.55/5.79 ( ( mem @ V18e2 @ A_27a )
% 5.55/5.79 & ? [V19e3: $i] :
% 5.55/5.79 ( ( mem @ V19e3 @ A_27a )
% 5.55/5.79 & ? [V20e4: $i] :
% 5.55/5.79 ( ( mem @ V20e4 @ A_27a )
% 5.55/5.79 & ? [V21e5: $i] :
% 5.55/5.79 ( ( mem @ V21e5 @ A_27a )
% 5.55/5.79 & ? [V22e6: $i] :
% 5.55/5.79 ( ( mem @ V22e6 @ A_27a )
% 5.55/5.79 & ? [V23e7: $i] :
% 5.55/5.79 ( ( mem @ V23e7 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V17e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V18e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V19e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V20e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V21e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V22e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V23e7 ) @ V16l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.79 <=> ? [V24l_27: $i] :
% 5.55/5.79 ( ( mem @ V24l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V25e1: $i] :
% 5.55/5.79 ( ( mem @ V25e1 @ A_27a )
% 5.55/5.79 & ? [V26e2: $i] :
% 5.55/5.79 ( ( mem @ V26e2 @ A_27a )
% 5.55/5.79 & ? [V27e3: $i] :
% 5.55/5.79 ( ( mem @ V27e3 @ A_27a )
% 5.55/5.79 & ? [V28e4: $i] :
% 5.55/5.79 ( ( mem @ V28e4 @ A_27a )
% 5.55/5.79 & ? [V29e5: $i] :
% 5.55/5.79 ( ( mem @ V29e5 @ A_27a )
% 5.55/5.79 & ? [V30e6: $i] :
% 5.55/5.79 ( ( mem @ V30e6 @ A_27a )
% 5.55/5.79 & ? [V31e7: $i] :
% 5.55/5.79 ( ( mem @ V31e7 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V25e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V26e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V27e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V28e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V29e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V30e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V31e7 ) @ V24l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V32l_27: $i] :
% 5.55/5.79 ( ( mem @ V32l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V33e1: $i] :
% 5.55/5.79 ( ( mem @ V33e1 @ A_27a )
% 5.55/5.79 & ? [V34e2: $i] :
% 5.55/5.79 ( ( mem @ V34e2 @ A_27a )
% 5.55/5.79 & ? [V35e3: $i] :
% 5.55/5.79 ( ( mem @ V35e3 @ A_27a )
% 5.55/5.79 & ? [V36e4: $i] :
% 5.55/5.79 ( ( mem @ V36e4 @ A_27a )
% 5.55/5.79 & ? [V37e5: $i] :
% 5.55/5.79 ( ( mem @ V37e5 @ A_27a )
% 5.55/5.79 & ? [V38e6: $i] :
% 5.55/5.79 ( ( mem @ V38e6 @ A_27a )
% 5.55/5.79 & ? [V39e7: $i] :
% 5.55/5.79 ( ( mem @ V39e7 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V33e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V34e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V35e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V36e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V37e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V38e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V39e7 ) @ V32l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.79 <=> ? [V40l_27: $i] :
% 5.55/5.79 ( ( mem @ V40l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V41e1: $i] :
% 5.55/5.79 ( ( mem @ V41e1 @ A_27a )
% 5.55/5.79 & ? [V42e2: $i] :
% 5.55/5.79 ( ( mem @ V42e2 @ A_27a )
% 5.55/5.79 & ? [V43e3: $i] :
% 5.55/5.79 ( ( mem @ V43e3 @ A_27a )
% 5.55/5.79 & ? [V44e4: $i] :
% 5.55/5.79 ( ( mem @ V44e4 @ A_27a )
% 5.55/5.79 & ? [V45e5: $i] :
% 5.55/5.79 ( ( mem @ V45e5 @ A_27a )
% 5.55/5.79 & ? [V46e6: $i] :
% 5.55/5.79 ( ( mem @ V46e6 @ A_27a )
% 5.55/5.79 & ? [V47e7: $i] :
% 5.55/5.79 ( ( mem @ V47e7 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V41e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V42e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V43e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V44e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V45e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V46e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V47e7 ) @ V40l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V48l_27: $i] :
% 5.55/5.79 ( ( mem @ V48l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V49e1: $i] :
% 5.55/5.79 ( ( mem @ V49e1 @ A_27a )
% 5.55/5.79 & ? [V50e2: $i] :
% 5.55/5.79 ( ( mem @ V50e2 @ A_27a )
% 5.55/5.79 & ? [V51e3: $i] :
% 5.55/5.79 ( ( mem @ V51e3 @ A_27a )
% 5.55/5.79 & ? [V52e4: $i] :
% 5.55/5.79 ( ( mem @ V52e4 @ A_27a )
% 5.55/5.79 & ? [V53e5: $i] :
% 5.55/5.79 ( ( mem @ V53e5 @ A_27a )
% 5.55/5.79 & ? [V54e6: $i] :
% 5.55/5.79 ( ( mem @ V54e6 @ A_27a )
% 5.55/5.79 & ? [V55e7: $i] :
% 5.55/5.79 ( ( mem @ V55e7 @ A_27a )
% 5.55/5.79 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V48l_27 ) ) )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V49e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V50e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V51e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V52e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V53e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V54e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V55e7 ) @ V48l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.79 <=> ? [V56l_27: $i] :
% 5.55/5.79 ( ( mem @ V56l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V57e1: $i] :
% 5.55/5.79 ( ( mem @ V57e1 @ A_27a )
% 5.55/5.79 & ? [V58e2: $i] :
% 5.55/5.79 ( ( mem @ V58e2 @ A_27a )
% 5.55/5.79 & ? [V59e3: $i] :
% 5.55/5.79 ( ( mem @ V59e3 @ A_27a )
% 5.55/5.79 & ? [V60e4: $i] :
% 5.55/5.79 ( ( mem @ V60e4 @ A_27a )
% 5.55/5.79 & ? [V61e5: $i] :
% 5.55/5.79 ( ( mem @ V61e5 @ A_27a )
% 5.55/5.79 & ? [V62e6: $i] :
% 5.55/5.79 ( ( mem @ V62e6 @ A_27a )
% 5.55/5.79 & ? [V63e7: $i] :
% 5.55/5.79 ( ( mem @ V63e7 @ A_27a )
% 5.55/5.79 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V56l_27 ) ) )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V57e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V58e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V59e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V60e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V61e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V62e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V63e7 ) @ V56l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V64l_27: $i] :
% 5.55/5.79 ( ( mem @ V64l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V65e1: $i] :
% 5.55/5.79 ( ( mem @ V65e1 @ A_27a )
% 5.55/5.79 & ? [V66e2: $i] :
% 5.55/5.79 ( ( mem @ V66e2 @ A_27a )
% 5.55/5.79 & ? [V67e3: $i] :
% 5.55/5.79 ( ( mem @ V67e3 @ A_27a )
% 5.55/5.79 & ? [V68e4: $i] :
% 5.55/5.79 ( ( mem @ V68e4 @ A_27a )
% 5.55/5.79 & ? [V69e5: $i] :
% 5.55/5.79 ( ( mem @ V69e5 @ A_27a )
% 5.55/5.79 & ? [V70e6: $i] :
% 5.55/5.79 ( ( mem @ V70e6 @ A_27a )
% 5.55/5.79 & ? [V71e7: $i] :
% 5.55/5.79 ( ( mem @ V71e7 @ A_27a )
% 5.55/5.79 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V64l_27 ) ) )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V65e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V66e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V67e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V68e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V69e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V70e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V71e7 ) @ V64l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.79 <=> ? [V72l_27: $i] :
% 5.55/5.79 ( ( mem @ V72l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V73e1: $i] :
% 5.55/5.79 ( ( mem @ V73e1 @ A_27a )
% 5.55/5.79 & ? [V74e2: $i] :
% 5.55/5.79 ( ( mem @ V74e2 @ A_27a )
% 5.55/5.79 & ? [V75e3: $i] :
% 5.55/5.79 ( ( mem @ V75e3 @ A_27a )
% 5.55/5.79 & ? [V76e4: $i] :
% 5.55/5.79 ( ( mem @ V76e4 @ A_27a )
% 5.55/5.79 & ? [V77e5: $i] :
% 5.55/5.79 ( ( mem @ V77e5 @ A_27a )
% 5.55/5.79 & ? [V78e6: $i] :
% 5.55/5.79 ( ( mem @ V78e6 @ A_27a )
% 5.55/5.79 & ? [V79e7: $i] :
% 5.55/5.79 ( ( mem @ V79e7 @ A_27a )
% 5.55/5.79 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V72l_27 ) ) )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V73e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V74e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V75e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V76e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V77e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V78e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V79e7 ) @ V72l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.79 <=> ? [V80l_27: $i] :
% 5.55/5.79 ( ( mem @ V80l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V81e1: $i] :
% 5.55/5.79 ( ( mem @ V81e1 @ A_27a )
% 5.55/5.79 & ? [V82e2: $i] :
% 5.55/5.79 ( ( mem @ V82e2 @ A_27a )
% 5.55/5.79 & ? [V83e3: $i] :
% 5.55/5.79 ( ( mem @ V83e3 @ A_27a )
% 5.55/5.79 & ? [V84e4: $i] :
% 5.55/5.79 ( ( mem @ V84e4 @ A_27a )
% 5.55/5.79 & ? [V85e5: $i] :
% 5.55/5.79 ( ( mem @ V85e5 @ A_27a )
% 5.55/5.79 & ? [V86e6: $i] :
% 5.55/5.79 ( ( mem @ V86e6 @ A_27a )
% 5.55/5.79 & ? [V87e7: $i] :
% 5.55/5.79 ( ( mem @ V87e7 @ A_27a )
% 5.55/5.79 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V80l_27 ) )
% 5.55/5.79 = V1x )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V81e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V82e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V83e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V84e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V85e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V86e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V87e7 ) @ V80l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V88l_27: $i] :
% 5.55/5.79 ( ( mem @ V88l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V89e1: $i] :
% 5.55/5.79 ( ( mem @ V89e1 @ A_27a )
% 5.55/5.79 & ? [V90e2: $i] :
% 5.55/5.79 ( ( mem @ V90e2 @ A_27a )
% 5.55/5.79 & ? [V91e3: $i] :
% 5.55/5.79 ( ( mem @ V91e3 @ A_27a )
% 5.55/5.79 & ? [V92e4: $i] :
% 5.55/5.79 ( ( mem @ V92e4 @ A_27a )
% 5.55/5.79 & ? [V93e5: $i] :
% 5.55/5.79 ( ( mem @ V93e5 @ A_27a )
% 5.55/5.79 & ? [V94e6: $i] :
% 5.55/5.79 ( ( mem @ V94e6 @ A_27a )
% 5.55/5.79 & ? [V95e7: $i] :
% 5.55/5.79 ( ( mem @ V95e7 @ A_27a )
% 5.55/5.79 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V88l_27 ) )
% 5.55/5.79 = V1x )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V89e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V90e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V91e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V92e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V93e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V94e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V95e7 ) @ V88l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.79 <=> ? [V96l_27: $i] :
% 5.55/5.79 ( ( mem @ V96l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V97e1: $i] :
% 5.55/5.79 ( ( mem @ V97e1 @ A_27a )
% 5.55/5.79 & ? [V98e2: $i] :
% 5.55/5.79 ( ( mem @ V98e2 @ A_27a )
% 5.55/5.79 & ? [V99e3: $i] :
% 5.55/5.79 ( ( mem @ V99e3 @ A_27a )
% 5.55/5.79 & ? [V100e4: $i] :
% 5.55/5.79 ( ( mem @ V100e4 @ A_27a )
% 5.55/5.79 & ? [V101e5: $i] :
% 5.55/5.79 ( ( mem @ V101e5 @ A_27a )
% 5.55/5.79 & ? [V102e6: $i] :
% 5.55/5.79 ( ( mem @ V102e6 @ A_27a )
% 5.55/5.79 & ? [V103e7: $i] :
% 5.55/5.79 ( ( mem @ V103e7 @ A_27a )
% 5.55/5.79 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V96l_27 ) )
% 5.55/5.79 = V1x )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V97e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V98e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V99e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V100e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V101e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V102e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V103e7 ) @ V96l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V104l_27: $i] :
% 5.55/5.79 ( ( mem @ V104l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V105e1: $i] :
% 5.55/5.79 ( ( mem @ V105e1 @ A_27a )
% 5.55/5.79 & ? [V106e2: $i] :
% 5.55/5.79 ( ( mem @ V106e2 @ A_27a )
% 5.55/5.79 & ? [V107e3: $i] :
% 5.55/5.79 ( ( mem @ V107e3 @ A_27a )
% 5.55/5.79 & ? [V108e4: $i] :
% 5.55/5.79 ( ( mem @ V108e4 @ A_27a )
% 5.55/5.79 & ? [V109e5: $i] :
% 5.55/5.79 ( ( mem @ V109e5 @ A_27a )
% 5.55/5.79 & ? [V110e6: $i] :
% 5.55/5.79 ( ( mem @ V110e6 @ A_27a )
% 5.55/5.79 & ? [V111e7: $i] :
% 5.55/5.79 ( ( mem @ V111e7 @ A_27a )
% 5.55/5.79 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V104l_27 ) )
% 5.55/5.79 = V1x )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V105e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V106e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V107e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V108e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V109e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V110e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V111e7 ) @ V104l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.79 <=> ? [V112e1: $i] :
% 5.55/5.79 ( ( mem @ V112e1 @ A_27a )
% 5.55/5.79 & ? [V113e2: $i] :
% 5.55/5.79 ( ( mem @ V113e2 @ A_27a )
% 5.55/5.79 & ? [V114e3: $i] :
% 5.55/5.79 ( ( mem @ V114e3 @ A_27a )
% 5.55/5.79 & ? [V115e4: $i] :
% 5.55/5.79 ( ( mem @ V115e4 @ A_27a )
% 5.55/5.79 & ? [V116e5: $i] :
% 5.55/5.79 ( ( mem @ V116e5 @ A_27a )
% 5.55/5.79 & ? [V117e6: $i] :
% 5.55/5.79 ( ( mem @ V117e6 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V112e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V113e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V114e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V115e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V116e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V117e6 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V118e1: $i] :
% 5.55/5.79 ( ( mem @ V118e1 @ A_27a )
% 5.55/5.79 & ? [V119e2: $i] :
% 5.55/5.79 ( ( mem @ V119e2 @ A_27a )
% 5.55/5.79 & ? [V120e3: $i] :
% 5.55/5.79 ( ( mem @ V120e3 @ A_27a )
% 5.55/5.79 & ? [V121e4: $i] :
% 5.55/5.79 ( ( mem @ V121e4 @ A_27a )
% 5.55/5.79 & ? [V122e5: $i] :
% 5.55/5.79 ( ( mem @ V122e5 @ A_27a )
% 5.55/5.79 & ? [V123e6: $i] :
% 5.55/5.79 ( ( mem @ V123e6 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V118e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V119e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V120e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V121e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V122e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V123e6 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V124l_27: $i] :
% 5.55/5.79 ( ( mem @ V124l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V125e1: $i] :
% 5.55/5.79 ( ( mem @ V125e1 @ A_27a )
% 5.55/5.79 & ? [V126e2: $i] :
% 5.55/5.79 ( ( mem @ V126e2 @ A_27a )
% 5.55/5.79 & ? [V127e3: $i] :
% 5.55/5.79 ( ( mem @ V127e3 @ A_27a )
% 5.55/5.79 & ? [V128e4: $i] :
% 5.55/5.79 ( ( mem @ V128e4 @ A_27a )
% 5.55/5.79 & ? [V129e5: $i] :
% 5.55/5.79 ( ( mem @ V129e5 @ A_27a )
% 5.55/5.79 & ? [V130e6: $i] :
% 5.55/5.79 ( ( mem @ V130e6 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V125e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V126e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V127e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V128e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V129e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V130e6 ) @ V124l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.79 <=> ? [V131l_27: $i] :
% 5.55/5.79 ( ( mem @ V131l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V132e1: $i] :
% 5.55/5.79 ( ( mem @ V132e1 @ A_27a )
% 5.55/5.79 & ? [V133e2: $i] :
% 5.55/5.79 ( ( mem @ V133e2 @ A_27a )
% 5.55/5.79 & ? [V134e3: $i] :
% 5.55/5.79 ( ( mem @ V134e3 @ A_27a )
% 5.55/5.79 & ? [V135e4: $i] :
% 5.55/5.79 ( ( mem @ V135e4 @ A_27a )
% 5.55/5.79 & ? [V136e5: $i] :
% 5.55/5.79 ( ( mem @ V136e5 @ A_27a )
% 5.55/5.79 & ? [V137e6: $i] :
% 5.55/5.79 ( ( mem @ V137e6 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V132e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V133e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V134e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V135e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V136e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V137e6 ) @ V131l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V138l_27: $i] :
% 5.55/5.79 ( ( mem @ V138l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V139e1: $i] :
% 5.55/5.79 ( ( mem @ V139e1 @ A_27a )
% 5.55/5.79 & ? [V140e2: $i] :
% 5.55/5.79 ( ( mem @ V140e2 @ A_27a )
% 5.55/5.79 & ? [V141e3: $i] :
% 5.55/5.79 ( ( mem @ V141e3 @ A_27a )
% 5.55/5.79 & ? [V142e4: $i] :
% 5.55/5.79 ( ( mem @ V142e4 @ A_27a )
% 5.55/5.79 & ? [V143e5: $i] :
% 5.55/5.79 ( ( mem @ V143e5 @ A_27a )
% 5.55/5.79 & ? [V144e6: $i] :
% 5.55/5.79 ( ( mem @ V144e6 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V139e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V140e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V141e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V142e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V143e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V144e6 ) @ V138l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.79 <=> ? [V145l_27: $i] :
% 5.55/5.79 ( ( mem @ V145l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V146e1: $i] :
% 5.55/5.79 ( ( mem @ V146e1 @ A_27a )
% 5.55/5.79 & ? [V147e2: $i] :
% 5.55/5.79 ( ( mem @ V147e2 @ A_27a )
% 5.55/5.79 & ? [V148e3: $i] :
% 5.55/5.79 ( ( mem @ V148e3 @ A_27a )
% 5.55/5.79 & ? [V149e4: $i] :
% 5.55/5.79 ( ( mem @ V149e4 @ A_27a )
% 5.55/5.79 & ? [V150e5: $i] :
% 5.55/5.79 ( ( mem @ V150e5 @ A_27a )
% 5.55/5.79 & ? [V151e6: $i] :
% 5.55/5.79 ( ( mem @ V151e6 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V146e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V147e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V148e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V149e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V150e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V151e6 ) @ V145l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V152l_27: $i] :
% 5.55/5.79 ( ( mem @ V152l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V153e1: $i] :
% 5.55/5.79 ( ( mem @ V153e1 @ A_27a )
% 5.55/5.79 & ? [V154e2: $i] :
% 5.55/5.79 ( ( mem @ V154e2 @ A_27a )
% 5.55/5.79 & ? [V155e3: $i] :
% 5.55/5.79 ( ( mem @ V155e3 @ A_27a )
% 5.55/5.79 & ? [V156e4: $i] :
% 5.55/5.79 ( ( mem @ V156e4 @ A_27a )
% 5.55/5.79 & ? [V157e5: $i] :
% 5.55/5.79 ( ( mem @ V157e5 @ A_27a )
% 5.55/5.79 & ? [V158e6: $i] :
% 5.55/5.79 ( ( mem @ V158e6 @ A_27a )
% 5.55/5.79 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V152l_27 ) ) )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V153e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V154e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V155e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V156e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V157e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V158e6 ) @ V152l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.79 <=> ? [V159l_27: $i] :
% 5.55/5.79 ( ( mem @ V159l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V160e1: $i] :
% 5.55/5.79 ( ( mem @ V160e1 @ A_27a )
% 5.55/5.79 & ? [V161e2: $i] :
% 5.55/5.79 ( ( mem @ V161e2 @ A_27a )
% 5.55/5.79 & ? [V162e3: $i] :
% 5.55/5.79 ( ( mem @ V162e3 @ A_27a )
% 5.55/5.79 & ? [V163e4: $i] :
% 5.55/5.79 ( ( mem @ V163e4 @ A_27a )
% 5.55/5.79 & ? [V164e5: $i] :
% 5.55/5.79 ( ( mem @ V164e5 @ A_27a )
% 5.55/5.79 & ? [V165e6: $i] :
% 5.55/5.79 ( ( mem @ V165e6 @ A_27a )
% 5.55/5.79 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V159l_27 ) ) )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V160e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V161e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V162e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V163e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V164e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V165e6 ) @ V159l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V166l_27: $i] :
% 5.55/5.79 ( ( mem @ V166l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V167e1: $i] :
% 5.55/5.79 ( ( mem @ V167e1 @ A_27a )
% 5.55/5.79 & ? [V168e2: $i] :
% 5.55/5.79 ( ( mem @ V168e2 @ A_27a )
% 5.55/5.79 & ? [V169e3: $i] :
% 5.55/5.79 ( ( mem @ V169e3 @ A_27a )
% 5.55/5.79 & ? [V170e4: $i] :
% 5.55/5.79 ( ( mem @ V170e4 @ A_27a )
% 5.55/5.79 & ? [V171e5: $i] :
% 5.55/5.79 ( ( mem @ V171e5 @ A_27a )
% 5.55/5.79 & ? [V172e6: $i] :
% 5.55/5.79 ( ( mem @ V172e6 @ A_27a )
% 5.55/5.79 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V166l_27 ) ) )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V167e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V168e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V169e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V170e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V171e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V172e6 ) @ V166l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.79 <=> ? [V173l_27: $i] :
% 5.55/5.79 ( ( mem @ V173l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V174e1: $i] :
% 5.55/5.79 ( ( mem @ V174e1 @ A_27a )
% 5.55/5.79 & ? [V175e2: $i] :
% 5.55/5.79 ( ( mem @ V175e2 @ A_27a )
% 5.55/5.79 & ? [V176e3: $i] :
% 5.55/5.79 ( ( mem @ V176e3 @ A_27a )
% 5.55/5.79 & ? [V177e4: $i] :
% 5.55/5.79 ( ( mem @ V177e4 @ A_27a )
% 5.55/5.79 & ? [V178e5: $i] :
% 5.55/5.79 ( ( mem @ V178e5 @ A_27a )
% 5.55/5.79 & ? [V179e6: $i] :
% 5.55/5.79 ( ( mem @ V179e6 @ A_27a )
% 5.55/5.79 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V173l_27 ) ) )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V174e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V175e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V176e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V177e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V178e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V179e6 ) @ V173l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.79 <=> ? [V180l_27: $i] :
% 5.55/5.79 ( ( mem @ V180l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V181e1: $i] :
% 5.55/5.79 ( ( mem @ V181e1 @ A_27a )
% 5.55/5.79 & ? [V182e2: $i] :
% 5.55/5.79 ( ( mem @ V182e2 @ A_27a )
% 5.55/5.79 & ? [V183e3: $i] :
% 5.55/5.79 ( ( mem @ V183e3 @ A_27a )
% 5.55/5.79 & ? [V184e4: $i] :
% 5.55/5.79 ( ( mem @ V184e4 @ A_27a )
% 5.55/5.79 & ? [V185e5: $i] :
% 5.55/5.79 ( ( mem @ V185e5 @ A_27a )
% 5.55/5.79 & ? [V186e6: $i] :
% 5.55/5.79 ( ( mem @ V186e6 @ A_27a )
% 5.55/5.79 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V180l_27 ) )
% 5.55/5.79 = V1x )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V181e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V182e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V183e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V184e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V185e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V186e6 ) @ V180l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V187l_27: $i] :
% 5.55/5.79 ( ( mem @ V187l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V188e1: $i] :
% 5.55/5.79 ( ( mem @ V188e1 @ A_27a )
% 5.55/5.79 & ? [V189e2: $i] :
% 5.55/5.79 ( ( mem @ V189e2 @ A_27a )
% 5.55/5.79 & ? [V190e3: $i] :
% 5.55/5.79 ( ( mem @ V190e3 @ A_27a )
% 5.55/5.79 & ? [V191e4: $i] :
% 5.55/5.79 ( ( mem @ V191e4 @ A_27a )
% 5.55/5.79 & ? [V192e5: $i] :
% 5.55/5.79 ( ( mem @ V192e5 @ A_27a )
% 5.55/5.79 & ? [V193e6: $i] :
% 5.55/5.79 ( ( mem @ V193e6 @ A_27a )
% 5.55/5.79 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V187l_27 ) )
% 5.55/5.79 = V1x )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V188e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V189e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V190e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V191e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V192e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V193e6 ) @ V187l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.79 <=> ? [V194l_27: $i] :
% 5.55/5.79 ( ( mem @ V194l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V195e1: $i] :
% 5.55/5.79 ( ( mem @ V195e1 @ A_27a )
% 5.55/5.79 & ? [V196e2: $i] :
% 5.55/5.79 ( ( mem @ V196e2 @ A_27a )
% 5.55/5.79 & ? [V197e3: $i] :
% 5.55/5.79 ( ( mem @ V197e3 @ A_27a )
% 5.55/5.79 & ? [V198e4: $i] :
% 5.55/5.79 ( ( mem @ V198e4 @ A_27a )
% 5.55/5.79 & ? [V199e5: $i] :
% 5.55/5.79 ( ( mem @ V199e5 @ A_27a )
% 5.55/5.79 & ? [V200e6: $i] :
% 5.55/5.79 ( ( mem @ V200e6 @ A_27a )
% 5.55/5.79 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V194l_27 ) )
% 5.55/5.79 = V1x )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V195e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V196e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V197e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V198e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V199e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V200e6 ) @ V194l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V201l_27: $i] :
% 5.55/5.79 ( ( mem @ V201l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V202e1: $i] :
% 5.55/5.79 ( ( mem @ V202e1 @ A_27a )
% 5.55/5.79 & ? [V203e2: $i] :
% 5.55/5.79 ( ( mem @ V203e2 @ A_27a )
% 5.55/5.79 & ? [V204e3: $i] :
% 5.55/5.79 ( ( mem @ V204e3 @ A_27a )
% 5.55/5.79 & ? [V205e4: $i] :
% 5.55/5.79 ( ( mem @ V205e4 @ A_27a )
% 5.55/5.79 & ? [V206e5: $i] :
% 5.55/5.79 ( ( mem @ V206e5 @ A_27a )
% 5.55/5.79 & ? [V207e6: $i] :
% 5.55/5.79 ( ( mem @ V207e6 @ A_27a )
% 5.55/5.79 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V201l_27 ) )
% 5.55/5.79 = V1x )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V202e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V203e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V204e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V205e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V206e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V207e6 ) @ V201l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.79 <=> ? [V208e1: $i] :
% 5.55/5.79 ( ( mem @ V208e1 @ A_27a )
% 5.55/5.79 & ? [V209e2: $i] :
% 5.55/5.79 ( ( mem @ V209e2 @ A_27a )
% 5.55/5.79 & ? [V210e3: $i] :
% 5.55/5.79 ( ( mem @ V210e3 @ A_27a )
% 5.55/5.79 & ? [V211e4: $i] :
% 5.55/5.79 ( ( mem @ V211e4 @ A_27a )
% 5.55/5.79 & ? [V212e5: $i] :
% 5.55/5.79 ( ( mem @ V212e5 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V208e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V209e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V210e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V211e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V212e5 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V213e1: $i] :
% 5.55/5.79 ( ( mem @ V213e1 @ A_27a )
% 5.55/5.79 & ? [V214e2: $i] :
% 5.55/5.79 ( ( mem @ V214e2 @ A_27a )
% 5.55/5.79 & ? [V215e3: $i] :
% 5.55/5.79 ( ( mem @ V215e3 @ A_27a )
% 5.55/5.79 & ? [V216e4: $i] :
% 5.55/5.79 ( ( mem @ V216e4 @ A_27a )
% 5.55/5.79 & ? [V217e5: $i] :
% 5.55/5.79 ( ( mem @ V217e5 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V213e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V214e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V215e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V216e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V217e5 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V218l_27: $i] :
% 5.55/5.79 ( ( mem @ V218l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V219e1: $i] :
% 5.55/5.79 ( ( mem @ V219e1 @ A_27a )
% 5.55/5.79 & ? [V220e2: $i] :
% 5.55/5.79 ( ( mem @ V220e2 @ A_27a )
% 5.55/5.79 & ? [V221e3: $i] :
% 5.55/5.79 ( ( mem @ V221e3 @ A_27a )
% 5.55/5.79 & ? [V222e4: $i] :
% 5.55/5.79 ( ( mem @ V222e4 @ A_27a )
% 5.55/5.79 & ? [V223e5: $i] :
% 5.55/5.79 ( ( mem @ V223e5 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V219e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V220e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V221e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V222e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V223e5 ) @ V218l_27 ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.79 <=> ? [V224l_27: $i] :
% 5.55/5.79 ( ( mem @ V224l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V225e1: $i] :
% 5.55/5.79 ( ( mem @ V225e1 @ A_27a )
% 5.55/5.79 & ? [V226e2: $i] :
% 5.55/5.79 ( ( mem @ V226e2 @ A_27a )
% 5.55/5.79 & ? [V227e3: $i] :
% 5.55/5.79 ( ( mem @ V227e3 @ A_27a )
% 5.55/5.79 & ? [V228e4: $i] :
% 5.55/5.79 ( ( mem @ V228e4 @ A_27a )
% 5.55/5.79 & ? [V229e5: $i] :
% 5.55/5.79 ( ( mem @ V229e5 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V225e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V226e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V227e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V228e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V229e5 ) @ V224l_27 ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V230l_27: $i] :
% 5.55/5.79 ( ( mem @ V230l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V231e1: $i] :
% 5.55/5.79 ( ( mem @ V231e1 @ A_27a )
% 5.55/5.79 & ? [V232e2: $i] :
% 5.55/5.79 ( ( mem @ V232e2 @ A_27a )
% 5.55/5.79 & ? [V233e3: $i] :
% 5.55/5.79 ( ( mem @ V233e3 @ A_27a )
% 5.55/5.79 & ? [V234e4: $i] :
% 5.55/5.79 ( ( mem @ V234e4 @ A_27a )
% 5.55/5.79 & ? [V235e5: $i] :
% 5.55/5.79 ( ( mem @ V235e5 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V231e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V232e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V233e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V234e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V235e5 ) @ V230l_27 ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.79 <=> ? [V236l_27: $i] :
% 5.55/5.79 ( ( mem @ V236l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V237e1: $i] :
% 5.55/5.79 ( ( mem @ V237e1 @ A_27a )
% 5.55/5.79 & ? [V238e2: $i] :
% 5.55/5.79 ( ( mem @ V238e2 @ A_27a )
% 5.55/5.79 & ? [V239e3: $i] :
% 5.55/5.79 ( ( mem @ V239e3 @ A_27a )
% 5.55/5.79 & ? [V240e4: $i] :
% 5.55/5.79 ( ( mem @ V240e4 @ A_27a )
% 5.55/5.79 & ? [V241e5: $i] :
% 5.55/5.79 ( ( mem @ V241e5 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V237e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V238e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V239e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V240e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V241e5 ) @ V236l_27 ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V242l_27: $i] :
% 5.55/5.79 ( ( mem @ V242l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V243e1: $i] :
% 5.55/5.79 ( ( mem @ V243e1 @ A_27a )
% 5.55/5.79 & ? [V244e2: $i] :
% 5.55/5.79 ( ( mem @ V244e2 @ A_27a )
% 5.55/5.79 & ? [V245e3: $i] :
% 5.55/5.79 ( ( mem @ V245e3 @ A_27a )
% 5.55/5.79 & ? [V246e4: $i] :
% 5.55/5.79 ( ( mem @ V246e4 @ A_27a )
% 5.55/5.79 & ? [V247e5: $i] :
% 5.55/5.79 ( ( mem @ V247e5 @ A_27a )
% 5.55/5.79 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V242l_27 ) ) )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V243e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V244e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V245e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V246e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V247e5 ) @ V242l_27 ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.79 <=> ? [V248l_27: $i] :
% 5.55/5.79 ( ( mem @ V248l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V249e1: $i] :
% 5.55/5.79 ( ( mem @ V249e1 @ A_27a )
% 5.55/5.79 & ? [V250e2: $i] :
% 5.55/5.79 ( ( mem @ V250e2 @ A_27a )
% 5.55/5.79 & ? [V251e3: $i] :
% 5.55/5.79 ( ( mem @ V251e3 @ A_27a )
% 5.55/5.79 & ? [V252e4: $i] :
% 5.55/5.79 ( ( mem @ V252e4 @ A_27a )
% 5.55/5.79 & ? [V253e5: $i] :
% 5.55/5.79 ( ( mem @ V253e5 @ A_27a )
% 5.55/5.79 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V248l_27 ) ) )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V249e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V250e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V251e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V252e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V253e5 ) @ V248l_27 ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V254l_27: $i] :
% 5.55/5.79 ( ( mem @ V254l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V255e1: $i] :
% 5.55/5.79 ( ( mem @ V255e1 @ A_27a )
% 5.55/5.79 & ? [V256e2: $i] :
% 5.55/5.79 ( ( mem @ V256e2 @ A_27a )
% 5.55/5.79 & ? [V257e3: $i] :
% 5.55/5.79 ( ( mem @ V257e3 @ A_27a )
% 5.55/5.79 & ? [V258e4: $i] :
% 5.55/5.79 ( ( mem @ V258e4 @ A_27a )
% 5.55/5.79 & ? [V259e5: $i] :
% 5.55/5.79 ( ( mem @ V259e5 @ A_27a )
% 5.55/5.79 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V254l_27 ) ) )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V255e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V256e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V257e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V258e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V259e5 ) @ V254l_27 ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.79 <=> ? [V260l_27: $i] :
% 5.55/5.79 ( ( mem @ V260l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V261e1: $i] :
% 5.55/5.79 ( ( mem @ V261e1 @ A_27a )
% 5.55/5.79 & ? [V262e2: $i] :
% 5.55/5.79 ( ( mem @ V262e2 @ A_27a )
% 5.55/5.79 & ? [V263e3: $i] :
% 5.55/5.79 ( ( mem @ V263e3 @ A_27a )
% 5.55/5.79 & ? [V264e4: $i] :
% 5.55/5.79 ( ( mem @ V264e4 @ A_27a )
% 5.55/5.79 & ? [V265e5: $i] :
% 5.55/5.79 ( ( mem @ V265e5 @ A_27a )
% 5.55/5.79 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V260l_27 ) ) )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V261e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V262e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V263e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V264e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V265e5 ) @ V260l_27 ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.79 <=> ? [V266l_27: $i] :
% 5.55/5.79 ( ( mem @ V266l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V267e1: $i] :
% 5.55/5.79 ( ( mem @ V267e1 @ A_27a )
% 5.55/5.79 & ? [V268e2: $i] :
% 5.55/5.79 ( ( mem @ V268e2 @ A_27a )
% 5.55/5.79 & ? [V269e3: $i] :
% 5.55/5.79 ( ( mem @ V269e3 @ A_27a )
% 5.55/5.79 & ? [V270e4: $i] :
% 5.55/5.79 ( ( mem @ V270e4 @ A_27a )
% 5.55/5.79 & ? [V271e5: $i] :
% 5.55/5.79 ( ( mem @ V271e5 @ A_27a )
% 5.55/5.79 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V266l_27 ) )
% 5.55/5.79 = V1x )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V267e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V268e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V269e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V270e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V271e5 ) @ V266l_27 ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V272l_27: $i] :
% 5.55/5.79 ( ( mem @ V272l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V273e1: $i] :
% 5.55/5.79 ( ( mem @ V273e1 @ A_27a )
% 5.55/5.79 & ? [V274e2: $i] :
% 5.55/5.79 ( ( mem @ V274e2 @ A_27a )
% 5.55/5.79 & ? [V275e3: $i] :
% 5.55/5.79 ( ( mem @ V275e3 @ A_27a )
% 5.55/5.79 & ? [V276e4: $i] :
% 5.55/5.79 ( ( mem @ V276e4 @ A_27a )
% 5.55/5.79 & ? [V277e5: $i] :
% 5.55/5.79 ( ( mem @ V277e5 @ A_27a )
% 5.55/5.79 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V272l_27 ) )
% 5.55/5.79 = V1x )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V273e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V274e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V275e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V276e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V277e5 ) @ V272l_27 ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.79 <=> ? [V278l_27: $i] :
% 5.55/5.79 ( ( mem @ V278l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V279e1: $i] :
% 5.55/5.79 ( ( mem @ V279e1 @ A_27a )
% 5.55/5.79 & ? [V280e2: $i] :
% 5.55/5.79 ( ( mem @ V280e2 @ A_27a )
% 5.55/5.79 & ? [V281e3: $i] :
% 5.55/5.79 ( ( mem @ V281e3 @ A_27a )
% 5.55/5.79 & ? [V282e4: $i] :
% 5.55/5.79 ( ( mem @ V282e4 @ A_27a )
% 5.55/5.79 & ? [V283e5: $i] :
% 5.55/5.79 ( ( mem @ V283e5 @ A_27a )
% 5.55/5.79 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V278l_27 ) )
% 5.55/5.79 = V1x )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V279e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V280e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V281e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V282e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V283e5 ) @ V278l_27 ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V284l_27: $i] :
% 5.55/5.79 ( ( mem @ V284l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V285e1: $i] :
% 5.55/5.79 ( ( mem @ V285e1 @ A_27a )
% 5.55/5.79 & ? [V286e2: $i] :
% 5.55/5.79 ( ( mem @ V286e2 @ A_27a )
% 5.55/5.79 & ? [V287e3: $i] :
% 5.55/5.79 ( ( mem @ V287e3 @ A_27a )
% 5.55/5.79 & ? [V288e4: $i] :
% 5.55/5.79 ( ( mem @ V288e4 @ A_27a )
% 5.55/5.79 & ? [V289e5: $i] :
% 5.55/5.79 ( ( mem @ V289e5 @ A_27a )
% 5.55/5.79 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V284l_27 ) )
% 5.55/5.79 = V1x )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V285e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V286e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V287e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V288e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V289e5 ) @ V284l_27 ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.79 <=> ? [V290e1: $i] :
% 5.55/5.79 ( ( mem @ V290e1 @ A_27a )
% 5.55/5.79 & ? [V291e2: $i] :
% 5.55/5.79 ( ( mem @ V291e2 @ A_27a )
% 5.55/5.79 & ? [V292e3: $i] :
% 5.55/5.79 ( ( mem @ V292e3 @ A_27a )
% 5.55/5.79 & ? [V293e4: $i] :
% 5.55/5.79 ( ( mem @ V293e4 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V290e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V291e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V292e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V293e4 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V294e1: $i] :
% 5.55/5.79 ( ( mem @ V294e1 @ A_27a )
% 5.55/5.79 & ? [V295e2: $i] :
% 5.55/5.79 ( ( mem @ V295e2 @ A_27a )
% 5.55/5.79 & ? [V296e3: $i] :
% 5.55/5.79 ( ( mem @ V296e3 @ A_27a )
% 5.55/5.79 & ? [V297e4: $i] :
% 5.55/5.79 ( ( mem @ V297e4 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V294e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V295e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V296e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V297e4 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V298l_27: $i] :
% 5.55/5.79 ( ( mem @ V298l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V299e1: $i] :
% 5.55/5.79 ( ( mem @ V299e1 @ A_27a )
% 5.55/5.79 & ? [V300e2: $i] :
% 5.55/5.79 ( ( mem @ V300e2 @ A_27a )
% 5.55/5.79 & ? [V301e3: $i] :
% 5.55/5.79 ( ( mem @ V301e3 @ A_27a )
% 5.55/5.79 & ? [V302e4: $i] :
% 5.55/5.79 ( ( mem @ V302e4 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V299e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V300e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V301e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V302e4 ) @ V298l_27 ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.79 <=> ? [V303l_27: $i] :
% 5.55/5.79 ( ( mem @ V303l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V304e1: $i] :
% 5.55/5.79 ( ( mem @ V304e1 @ A_27a )
% 5.55/5.79 & ? [V305e2: $i] :
% 5.55/5.79 ( ( mem @ V305e2 @ A_27a )
% 5.55/5.79 & ? [V306e3: $i] :
% 5.55/5.79 ( ( mem @ V306e3 @ A_27a )
% 5.55/5.79 & ? [V307e4: $i] :
% 5.55/5.79 ( ( mem @ V307e4 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V304e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V305e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V306e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V307e4 ) @ V303l_27 ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V308l_27: $i] :
% 5.55/5.79 ( ( mem @ V308l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V309e1: $i] :
% 5.55/5.79 ( ( mem @ V309e1 @ A_27a )
% 5.55/5.79 & ? [V310e2: $i] :
% 5.55/5.79 ( ( mem @ V310e2 @ A_27a )
% 5.55/5.79 & ? [V311e3: $i] :
% 5.55/5.79 ( ( mem @ V311e3 @ A_27a )
% 5.55/5.79 & ? [V312e4: $i] :
% 5.55/5.79 ( ( mem @ V312e4 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V309e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V310e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V311e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V312e4 ) @ V308l_27 ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.79 <=> ? [V313l_27: $i] :
% 5.55/5.79 ( ( mem @ V313l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V314e1: $i] :
% 5.55/5.79 ( ( mem @ V314e1 @ A_27a )
% 5.55/5.79 & ? [V315e2: $i] :
% 5.55/5.79 ( ( mem @ V315e2 @ A_27a )
% 5.55/5.79 & ? [V316e3: $i] :
% 5.55/5.79 ( ( mem @ V316e3 @ A_27a )
% 5.55/5.79 & ? [V317e4: $i] :
% 5.55/5.79 ( ( mem @ V317e4 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V314e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V315e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V316e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V317e4 ) @ V313l_27 ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V318l_27: $i] :
% 5.55/5.79 ( ( mem @ V318l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V319e1: $i] :
% 5.55/5.79 ( ( mem @ V319e1 @ A_27a )
% 5.55/5.79 & ? [V320e2: $i] :
% 5.55/5.79 ( ( mem @ V320e2 @ A_27a )
% 5.55/5.79 & ? [V321e3: $i] :
% 5.55/5.79 ( ( mem @ V321e3 @ A_27a )
% 5.55/5.79 & ? [V322e4: $i] :
% 5.55/5.79 ( ( mem @ V322e4 @ A_27a )
% 5.55/5.79 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V318l_27 ) ) )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V319e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V320e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V321e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V322e4 ) @ V318l_27 ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.79 <=> ? [V323l_27: $i] :
% 5.55/5.79 ( ( mem @ V323l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V324e1: $i] :
% 5.55/5.79 ( ( mem @ V324e1 @ A_27a )
% 5.55/5.79 & ? [V325e2: $i] :
% 5.55/5.79 ( ( mem @ V325e2 @ A_27a )
% 5.55/5.79 & ? [V326e3: $i] :
% 5.55/5.79 ( ( mem @ V326e3 @ A_27a )
% 5.55/5.79 & ? [V327e4: $i] :
% 5.55/5.79 ( ( mem @ V327e4 @ A_27a )
% 5.55/5.79 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V323l_27 ) ) )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V324e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V325e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V326e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V327e4 ) @ V323l_27 ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V328l_27: $i] :
% 5.55/5.79 ( ( mem @ V328l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V329e1: $i] :
% 5.55/5.79 ( ( mem @ V329e1 @ A_27a )
% 5.55/5.79 & ? [V330e2: $i] :
% 5.55/5.79 ( ( mem @ V330e2 @ A_27a )
% 5.55/5.79 & ? [V331e3: $i] :
% 5.55/5.79 ( ( mem @ V331e3 @ A_27a )
% 5.55/5.79 & ? [V332e4: $i] :
% 5.55/5.79 ( ( mem @ V332e4 @ A_27a )
% 5.55/5.79 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V328l_27 ) ) )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V329e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V330e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V331e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V332e4 ) @ V328l_27 ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.79 <=> ? [V333l_27: $i] :
% 5.55/5.79 ( ( mem @ V333l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V334e1: $i] :
% 5.55/5.79 ( ( mem @ V334e1 @ A_27a )
% 5.55/5.79 & ? [V335e2: $i] :
% 5.55/5.79 ( ( mem @ V335e2 @ A_27a )
% 5.55/5.79 & ? [V336e3: $i] :
% 5.55/5.79 ( ( mem @ V336e3 @ A_27a )
% 5.55/5.79 & ? [V337e4: $i] :
% 5.55/5.79 ( ( mem @ V337e4 @ A_27a )
% 5.55/5.79 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V333l_27 ) ) )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V334e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V335e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V336e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V337e4 ) @ V333l_27 ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.79 <=> ? [V338l_27: $i] :
% 5.55/5.79 ( ( mem @ V338l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V339e1: $i] :
% 5.55/5.79 ( ( mem @ V339e1 @ A_27a )
% 5.55/5.79 & ? [V340e2: $i] :
% 5.55/5.79 ( ( mem @ V340e2 @ A_27a )
% 5.55/5.79 & ? [V341e3: $i] :
% 5.55/5.79 ( ( mem @ V341e3 @ A_27a )
% 5.55/5.79 & ? [V342e4: $i] :
% 5.55/5.79 ( ( mem @ V342e4 @ A_27a )
% 5.55/5.79 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V338l_27 ) )
% 5.55/5.79 = V1x )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V339e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V340e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V341e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V342e4 ) @ V338l_27 ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V343l_27: $i] :
% 5.55/5.79 ( ( mem @ V343l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V344e1: $i] :
% 5.55/5.79 ( ( mem @ V344e1 @ A_27a )
% 5.55/5.79 & ? [V345e2: $i] :
% 5.55/5.79 ( ( mem @ V345e2 @ A_27a )
% 5.55/5.79 & ? [V346e3: $i] :
% 5.55/5.79 ( ( mem @ V346e3 @ A_27a )
% 5.55/5.79 & ? [V347e4: $i] :
% 5.55/5.79 ( ( mem @ V347e4 @ A_27a )
% 5.55/5.79 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V343l_27 ) )
% 5.55/5.79 = V1x )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V344e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V345e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V346e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V347e4 ) @ V343l_27 ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.79 <=> ? [V348l_27: $i] :
% 5.55/5.79 ( ( mem @ V348l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V349e1: $i] :
% 5.55/5.79 ( ( mem @ V349e1 @ A_27a )
% 5.55/5.79 & ? [V350e2: $i] :
% 5.55/5.79 ( ( mem @ V350e2 @ A_27a )
% 5.55/5.79 & ? [V351e3: $i] :
% 5.55/5.79 ( ( mem @ V351e3 @ A_27a )
% 5.55/5.79 & ? [V352e4: $i] :
% 5.55/5.79 ( ( mem @ V352e4 @ A_27a )
% 5.55/5.79 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V348l_27 ) )
% 5.55/5.79 = V1x )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V349e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V350e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V351e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V352e4 ) @ V348l_27 ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V353l_27: $i] :
% 5.55/5.79 ( ( mem @ V353l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V354e1: $i] :
% 5.55/5.79 ( ( mem @ V354e1 @ A_27a )
% 5.55/5.79 & ? [V355e2: $i] :
% 5.55/5.79 ( ( mem @ V355e2 @ A_27a )
% 5.55/5.79 & ? [V356e3: $i] :
% 5.55/5.79 ( ( mem @ V356e3 @ A_27a )
% 5.55/5.79 & ? [V357e4: $i] :
% 5.55/5.79 ( ( mem @ V357e4 @ A_27a )
% 5.55/5.79 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V353l_27 ) )
% 5.55/5.79 = V1x )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V354e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V355e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V356e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V357e4 ) @ V353l_27 ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.79 <=> ? [V358e1: $i] :
% 5.55/5.79 ( ( mem @ V358e1 @ A_27a )
% 5.55/5.79 & ? [V359e2: $i] :
% 5.55/5.79 ( ( mem @ V359e2 @ A_27a )
% 5.55/5.79 & ? [V360e3: $i] :
% 5.55/5.79 ( ( mem @ V360e3 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V358e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V359e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V360e3 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V361e1: $i] :
% 5.55/5.79 ( ( mem @ V361e1 @ A_27a )
% 5.55/5.79 & ? [V362e2: $i] :
% 5.55/5.79 ( ( mem @ V362e2 @ A_27a )
% 5.55/5.79 & ? [V363e3: $i] :
% 5.55/5.79 ( ( mem @ V363e3 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V361e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V362e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V363e3 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V364l_27: $i] :
% 5.55/5.79 ( ( mem @ V364l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V365e1: $i] :
% 5.55/5.79 ( ( mem @ V365e1 @ A_27a )
% 5.55/5.79 & ? [V366e2: $i] :
% 5.55/5.79 ( ( mem @ V366e2 @ A_27a )
% 5.55/5.79 & ? [V367e3: $i] :
% 5.55/5.79 ( ( mem @ V367e3 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V365e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V366e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V367e3 ) @ V364l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.79 <=> ? [V368l_27: $i] :
% 5.55/5.79 ( ( mem @ V368l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V369e1: $i] :
% 5.55/5.79 ( ( mem @ V369e1 @ A_27a )
% 5.55/5.79 & ? [V370e2: $i] :
% 5.55/5.79 ( ( mem @ V370e2 @ A_27a )
% 5.55/5.79 & ? [V371e3: $i] :
% 5.55/5.79 ( ( mem @ V371e3 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V369e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V370e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V371e3 ) @ V368l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V372l_27: $i] :
% 5.55/5.79 ( ( mem @ V372l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V373e1: $i] :
% 5.55/5.79 ( ( mem @ V373e1 @ A_27a )
% 5.55/5.79 & ? [V374e2: $i] :
% 5.55/5.79 ( ( mem @ V374e2 @ A_27a )
% 5.55/5.79 & ? [V375e3: $i] :
% 5.55/5.79 ( ( mem @ V375e3 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V373e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V374e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V375e3 ) @ V372l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.79 <=> ? [V376l_27: $i] :
% 5.55/5.79 ( ( mem @ V376l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V377e1: $i] :
% 5.55/5.79 ( ( mem @ V377e1 @ A_27a )
% 5.55/5.79 & ? [V378e2: $i] :
% 5.55/5.79 ( ( mem @ V378e2 @ A_27a )
% 5.55/5.79 & ? [V379e3: $i] :
% 5.55/5.79 ( ( mem @ V379e3 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V377e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V378e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V379e3 ) @ V376l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V380l_27: $i] :
% 5.55/5.79 ( ( mem @ V380l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V381e1: $i] :
% 5.55/5.79 ( ( mem @ V381e1 @ A_27a )
% 5.55/5.79 & ? [V382e2: $i] :
% 5.55/5.79 ( ( mem @ V382e2 @ A_27a )
% 5.55/5.79 & ? [V383e3: $i] :
% 5.55/5.79 ( ( mem @ V383e3 @ A_27a )
% 5.55/5.79 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V380l_27 ) ) )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V381e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V382e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V383e3 ) @ V380l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.79 <=> ? [V384l_27: $i] :
% 5.55/5.79 ( ( mem @ V384l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V385e1: $i] :
% 5.55/5.79 ( ( mem @ V385e1 @ A_27a )
% 5.55/5.79 & ? [V386e2: $i] :
% 5.55/5.79 ( ( mem @ V386e2 @ A_27a )
% 5.55/5.79 & ? [V387e3: $i] :
% 5.55/5.79 ( ( mem @ V387e3 @ A_27a )
% 5.55/5.79 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V384l_27 ) ) )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V385e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V386e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V387e3 ) @ V384l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V388l_27: $i] :
% 5.55/5.79 ( ( mem @ V388l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V389e1: $i] :
% 5.55/5.79 ( ( mem @ V389e1 @ A_27a )
% 5.55/5.79 & ? [V390e2: $i] :
% 5.55/5.79 ( ( mem @ V390e2 @ A_27a )
% 5.55/5.79 & ? [V391e3: $i] :
% 5.55/5.79 ( ( mem @ V391e3 @ A_27a )
% 5.55/5.79 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V388l_27 ) ) )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V389e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V390e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V391e3 ) @ V388l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.79 <=> ? [V392l_27: $i] :
% 5.55/5.79 ( ( mem @ V392l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V393e1: $i] :
% 5.55/5.79 ( ( mem @ V393e1 @ A_27a )
% 5.55/5.79 & ? [V394e2: $i] :
% 5.55/5.79 ( ( mem @ V394e2 @ A_27a )
% 5.55/5.79 & ? [V395e3: $i] :
% 5.55/5.79 ( ( mem @ V395e3 @ A_27a )
% 5.55/5.79 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V392l_27 ) ) )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V393e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V394e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V395e3 ) @ V392l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.79 <=> ? [V396l_27: $i] :
% 5.55/5.79 ( ( mem @ V396l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V397e1: $i] :
% 5.55/5.79 ( ( mem @ V397e1 @ A_27a )
% 5.55/5.79 & ? [V398e2: $i] :
% 5.55/5.79 ( ( mem @ V398e2 @ A_27a )
% 5.55/5.79 & ? [V399e3: $i] :
% 5.55/5.79 ( ( mem @ V399e3 @ A_27a )
% 5.55/5.79 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V396l_27 ) )
% 5.55/5.79 = V1x )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V397e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V398e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V399e3 ) @ V396l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V400l_27: $i] :
% 5.55/5.79 ( ( mem @ V400l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V401e1: $i] :
% 5.55/5.79 ( ( mem @ V401e1 @ A_27a )
% 5.55/5.79 & ? [V402e2: $i] :
% 5.55/5.79 ( ( mem @ V402e2 @ A_27a )
% 5.55/5.79 & ? [V403e3: $i] :
% 5.55/5.79 ( ( mem @ V403e3 @ A_27a )
% 5.55/5.79 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V400l_27 ) )
% 5.55/5.79 = V1x )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V401e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V402e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V403e3 ) @ V400l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.79 <=> ? [V404l_27: $i] :
% 5.55/5.79 ( ( mem @ V404l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V405e1: $i] :
% 5.55/5.79 ( ( mem @ V405e1 @ A_27a )
% 5.55/5.79 & ? [V406e2: $i] :
% 5.55/5.79 ( ( mem @ V406e2 @ A_27a )
% 5.55/5.79 & ? [V407e3: $i] :
% 5.55/5.79 ( ( mem @ V407e3 @ A_27a )
% 5.55/5.79 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V404l_27 ) )
% 5.55/5.79 = V1x )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V405e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V406e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V407e3 ) @ V404l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V408l_27: $i] :
% 5.55/5.79 ( ( mem @ V408l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V409e1: $i] :
% 5.55/5.79 ( ( mem @ V409e1 @ A_27a )
% 5.55/5.79 & ? [V410e2: $i] :
% 5.55/5.79 ( ( mem @ V410e2 @ A_27a )
% 5.55/5.79 & ? [V411e3: $i] :
% 5.55/5.79 ( ( mem @ V411e3 @ A_27a )
% 5.55/5.79 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V408l_27 ) )
% 5.55/5.79 = V1x )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V409e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V410e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V411e3 ) @ V408l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.79 <=> ? [V412e1: $i] :
% 5.55/5.79 ( ( mem @ V412e1 @ A_27a )
% 5.55/5.79 & ? [V413e2: $i] :
% 5.55/5.79 ( ( mem @ V413e2 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V412e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V413e2 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V414e1: $i] :
% 5.55/5.79 ( ( mem @ V414e1 @ A_27a )
% 5.55/5.79 & ? [V415e2: $i] :
% 5.55/5.79 ( ( mem @ V415e2 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V414e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V415e2 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V416l_27: $i] :
% 5.55/5.79 ( ( mem @ V416l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V417e1: $i] :
% 5.55/5.79 ( ( mem @ V417e1 @ A_27a )
% 5.55/5.79 & ? [V418e2: $i] :
% 5.55/5.79 ( ( mem @ V418e2 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V417e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V418e2 ) @ V416l_27 ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.79 <=> ? [V419l_27: $i] :
% 5.55/5.79 ( ( mem @ V419l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V420e1: $i] :
% 5.55/5.79 ( ( mem @ V420e1 @ A_27a )
% 5.55/5.79 & ? [V421e2: $i] :
% 5.55/5.79 ( ( mem @ V421e2 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V420e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V421e2 ) @ V419l_27 ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V422l_27: $i] :
% 5.55/5.79 ( ( mem @ V422l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V423e1: $i] :
% 5.55/5.79 ( ( mem @ V423e1 @ A_27a )
% 5.55/5.79 & ? [V424e2: $i] :
% 5.55/5.79 ( ( mem @ V424e2 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V423e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V424e2 ) @ V422l_27 ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.79 <=> ? [V425l_27: $i] :
% 5.55/5.79 ( ( mem @ V425l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V426e1: $i] :
% 5.55/5.79 ( ( mem @ V426e1 @ A_27a )
% 5.55/5.79 & ? [V427e2: $i] :
% 5.55/5.79 ( ( mem @ V427e2 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V426e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V427e2 ) @ V425l_27 ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V428l_27: $i] :
% 5.55/5.79 ( ( mem @ V428l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V429e1: $i] :
% 5.55/5.79 ( ( mem @ V429e1 @ A_27a )
% 5.55/5.79 & ? [V430e2: $i] :
% 5.55/5.79 ( ( mem @ V430e2 @ A_27a )
% 5.55/5.79 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V428l_27 ) ) )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V429e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V430e2 ) @ V428l_27 ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.79 <=> ? [V431l_27: $i] :
% 5.55/5.79 ( ( mem @ V431l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V432e1: $i] :
% 5.55/5.79 ( ( mem @ V432e1 @ A_27a )
% 5.55/5.79 & ? [V433e2: $i] :
% 5.55/5.79 ( ( mem @ V433e2 @ A_27a )
% 5.55/5.79 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V431l_27 ) ) )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V432e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V433e2 ) @ V431l_27 ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V434l_27: $i] :
% 5.55/5.79 ( ( mem @ V434l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V435e1: $i] :
% 5.55/5.79 ( ( mem @ V435e1 @ A_27a )
% 5.55/5.79 & ? [V436e2: $i] :
% 5.55/5.79 ( ( mem @ V436e2 @ A_27a )
% 5.55/5.79 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V434l_27 ) ) )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V435e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V436e2 ) @ V434l_27 ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.79 <=> ? [V437l_27: $i] :
% 5.55/5.79 ( ( mem @ V437l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V438e1: $i] :
% 5.55/5.79 ( ( mem @ V438e1 @ A_27a )
% 5.55/5.79 & ? [V439e2: $i] :
% 5.55/5.79 ( ( mem @ V439e2 @ A_27a )
% 5.55/5.79 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V437l_27 ) ) )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V438e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V439e2 ) @ V437l_27 ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.79 <=> ? [V440l_27: $i] :
% 5.55/5.79 ( ( mem @ V440l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V441e1: $i] :
% 5.55/5.79 ( ( mem @ V441e1 @ A_27a )
% 5.55/5.79 & ? [V442e2: $i] :
% 5.55/5.79 ( ( mem @ V442e2 @ A_27a )
% 5.55/5.79 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V440l_27 ) )
% 5.55/5.79 = V1x )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V441e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V442e2 ) @ V440l_27 ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V443l_27: $i] :
% 5.55/5.79 ( ( mem @ V443l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V444e1: $i] :
% 5.55/5.79 ( ( mem @ V444e1 @ A_27a )
% 5.55/5.79 & ? [V445e2: $i] :
% 5.55/5.79 ( ( mem @ V445e2 @ A_27a )
% 5.55/5.79 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V443l_27 ) )
% 5.55/5.79 = V1x )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V444e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V445e2 ) @ V443l_27 ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.79 <=> ? [V446l_27: $i] :
% 5.55/5.79 ( ( mem @ V446l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V447e1: $i] :
% 5.55/5.79 ( ( mem @ V447e1 @ A_27a )
% 5.55/5.79 & ? [V448e2: $i] :
% 5.55/5.79 ( ( mem @ V448e2 @ A_27a )
% 5.55/5.79 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V446l_27 ) )
% 5.55/5.79 = V1x )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V447e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V448e2 ) @ V446l_27 ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V449l_27: $i] :
% 5.55/5.79 ( ( mem @ V449l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V450e1: $i] :
% 5.55/5.79 ( ( mem @ V450e1 @ A_27a )
% 5.55/5.79 & ? [V451e2: $i] :
% 5.55/5.79 ( ( mem @ V451e2 @ A_27a )
% 5.55/5.79 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V449l_27 ) )
% 5.55/5.79 = V1x )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V450e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V451e2 ) @ V449l_27 ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.79 <=> ? [V452e1: $i] :
% 5.55/5.79 ( ( mem @ V452e1 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V452e1 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V453e1: $i] :
% 5.55/5.79 ( ( mem @ V453e1 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V453e1 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V454l_27: $i] :
% 5.55/5.79 ( ( mem @ V454l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V455e1: $i] :
% 5.55/5.79 ( ( mem @ V455e1 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V455e1 ) @ V454l_27 ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.55/5.79 <=> ? [V456l_27: $i] :
% 5.55/5.79 ( ( mem @ V456l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V457e1: $i] :
% 5.55/5.79 ( ( mem @ V457e1 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V457e1 ) @ V456l_27 ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V458l_27: $i] :
% 5.55/5.79 ( ( mem @ V458l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V459e1: $i] :
% 5.55/5.79 ( ( mem @ V459e1 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V459e1 ) @ V458l_27 ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.79 <=> ? [V460l_27: $i] :
% 5.55/5.79 ( ( mem @ V460l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V461e1: $i] :
% 5.55/5.79 ( ( mem @ V461e1 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V461e1 ) @ V460l_27 ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V462l_27: $i] :
% 5.55/5.79 ( ( mem @ V462l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V463e1: $i] :
% 5.55/5.79 ( ( mem @ V463e1 @ A_27a )
% 5.55/5.79 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V462l_27 ) ) )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V463e1 ) @ V462l_27 ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.79 <=> ? [V464l_27: $i] :
% 5.55/5.79 ( ( mem @ V464l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V465e1: $i] :
% 5.55/5.79 ( ( mem @ V465e1 @ A_27a )
% 5.55/5.79 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V464l_27 ) ) )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V465e1 ) @ V464l_27 ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V466l_27: $i] :
% 5.55/5.79 ( ( mem @ V466l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V467e1: $i] :
% 5.55/5.79 ( ( mem @ V467e1 @ A_27a )
% 5.55/5.79 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V466l_27 ) ) )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V467e1 ) @ V466l_27 ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.79 <=> ? [V468l_27: $i] :
% 5.55/5.79 ( ( mem @ V468l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V469e1: $i] :
% 5.55/5.79 ( ( mem @ V469e1 @ A_27a )
% 5.55/5.79 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V468l_27 ) ) )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V469e1 ) @ V468l_27 ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.79 <=> ? [V470l_27: $i] :
% 5.55/5.79 ( ( mem @ V470l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V471e1: $i] :
% 5.55/5.79 ( ( mem @ V471e1 @ A_27a )
% 5.55/5.79 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V470l_27 ) )
% 5.55/5.79 = V1x )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V471e1 ) @ V470l_27 ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V472l_27: $i] :
% 5.55/5.79 ( ( mem @ V472l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V473e1: $i] :
% 5.55/5.79 ( ( mem @ V473e1 @ A_27a )
% 5.55/5.79 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V472l_27 ) )
% 5.55/5.79 = V1x )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V473e1 ) @ V472l_27 ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.79 <=> ? [V474l_27: $i] :
% 5.55/5.79 ( ( mem @ V474l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V475e1: $i] :
% 5.55/5.79 ( ( mem @ V475e1 @ A_27a )
% 5.55/5.79 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V474l_27 ) )
% 5.55/5.79 = V1x )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V475e1 ) @ V474l_27 ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V476l_27: $i] :
% 5.55/5.79 ( ( mem @ V476l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V477e1: $i] :
% 5.55/5.79 ( ( mem @ V477e1 @ A_27a )
% 5.55/5.79 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V476l_27 ) )
% 5.55/5.79 = V1x )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V477e1 ) @ V476l_27 ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.79 = fo__c_2Enum_2E0 )
% 5.55/5.79 <=> ( V0l
% 5.55/5.79 = ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.79 & ( ( fo__c_2Enum_2E0
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ( V0l
% 5.55/5.79 = ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.79 <=> ( V0l
% 5.55/5.79 = ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ( V0l
% 5.55/5.79 = ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ( V0l
% 5.55/5.79 = ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.55/5.79 <=> ( V0l
% 5.55/5.79 = ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ).
% 5.55/5.79
% 5.55/5.79 thf(conj_thm_2EquantHeuristics_2ELIST__LENGTH__10,axiom,
% 5.55/5.79 ! [A_27a: del,V0l: $i] :
% 5.55/5.79 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 => ! [V1x: tp__ty_2Enum_2Enum] :
% 5.55/5.79 ( ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.79 <=> ? [V2e1: $i] :
% 5.55/5.79 ( ( mem @ V2e1 @ A_27a )
% 5.55/5.79 & ? [V3e2: $i] :
% 5.55/5.79 ( ( mem @ V3e2 @ A_27a )
% 5.55/5.79 & ? [V4e3: $i] :
% 5.55/5.79 ( ( mem @ V4e3 @ A_27a )
% 5.55/5.79 & ? [V5e4: $i] :
% 5.55/5.79 ( ( mem @ V5e4 @ A_27a )
% 5.55/5.79 & ? [V6e5: $i] :
% 5.55/5.79 ( ( mem @ V6e5 @ A_27a )
% 5.55/5.79 & ? [V7e6: $i] :
% 5.55/5.79 ( ( mem @ V7e6 @ A_27a )
% 5.55/5.79 & ? [V8e7: $i] :
% 5.55/5.79 ( ( mem @ V8e7 @ A_27a )
% 5.55/5.79 & ? [V9e8: $i] :
% 5.55/5.79 ( ( mem @ V9e8 @ A_27a )
% 5.55/5.79 & ? [V10e9: $i] :
% 5.55/5.79 ( ( mem @ V10e9 @ A_27a )
% 5.55/5.79 & ? [V11e10: $i] :
% 5.55/5.79 ( ( mem @ V11e10 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V5e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V6e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V7e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V8e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V9e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V10e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V11e10 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V12e1: $i] :
% 5.55/5.79 ( ( mem @ V12e1 @ A_27a )
% 5.55/5.79 & ? [V13e2: $i] :
% 5.55/5.79 ( ( mem @ V13e2 @ A_27a )
% 5.55/5.79 & ? [V14e3: $i] :
% 5.55/5.79 ( ( mem @ V14e3 @ A_27a )
% 5.55/5.79 & ? [V15e4: $i] :
% 5.55/5.79 ( ( mem @ V15e4 @ A_27a )
% 5.55/5.79 & ? [V16e5: $i] :
% 5.55/5.79 ( ( mem @ V16e5 @ A_27a )
% 5.55/5.79 & ? [V17e6: $i] :
% 5.55/5.79 ( ( mem @ V17e6 @ A_27a )
% 5.55/5.79 & ? [V18e7: $i] :
% 5.55/5.79 ( ( mem @ V18e7 @ A_27a )
% 5.55/5.79 & ? [V19e8: $i] :
% 5.55/5.79 ( ( mem @ V19e8 @ A_27a )
% 5.55/5.79 & ? [V20e9: $i] :
% 5.55/5.79 ( ( mem @ V20e9 @ A_27a )
% 5.55/5.79 & ? [V21e10: $i] :
% 5.55/5.79 ( ( mem @ V21e10 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V12e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V13e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V14e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V15e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V16e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V17e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V18e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V19e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V20e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V21e10 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V22l_27: $i] :
% 5.55/5.79 ( ( mem @ V22l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V23e1: $i] :
% 5.55/5.79 ( ( mem @ V23e1 @ A_27a )
% 5.55/5.79 & ? [V24e2: $i] :
% 5.55/5.79 ( ( mem @ V24e2 @ A_27a )
% 5.55/5.79 & ? [V25e3: $i] :
% 5.55/5.79 ( ( mem @ V25e3 @ A_27a )
% 5.55/5.79 & ? [V26e4: $i] :
% 5.55/5.79 ( ( mem @ V26e4 @ A_27a )
% 5.55/5.79 & ? [V27e5: $i] :
% 5.55/5.79 ( ( mem @ V27e5 @ A_27a )
% 5.55/5.79 & ? [V28e6: $i] :
% 5.55/5.79 ( ( mem @ V28e6 @ A_27a )
% 5.55/5.79 & ? [V29e7: $i] :
% 5.55/5.79 ( ( mem @ V29e7 @ A_27a )
% 5.55/5.79 & ? [V30e8: $i] :
% 5.55/5.79 ( ( mem @ V30e8 @ A_27a )
% 5.55/5.79 & ? [V31e9: $i] :
% 5.55/5.79 ( ( mem @ V31e9 @ A_27a )
% 5.55/5.79 & ? [V32e10: $i] :
% 5.55/5.79 ( ( mem @ V32e10 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V23e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V24e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V25e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V26e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V27e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V28e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V29e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V30e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V31e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V32e10 ) @ V22l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.79 <=> ? [V33l_27: $i] :
% 5.55/5.79 ( ( mem @ V33l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V34e1: $i] :
% 5.55/5.79 ( ( mem @ V34e1 @ A_27a )
% 5.55/5.79 & ? [V35e2: $i] :
% 5.55/5.79 ( ( mem @ V35e2 @ A_27a )
% 5.55/5.79 & ? [V36e3: $i] :
% 5.55/5.79 ( ( mem @ V36e3 @ A_27a )
% 5.55/5.79 & ? [V37e4: $i] :
% 5.55/5.79 ( ( mem @ V37e4 @ A_27a )
% 5.55/5.79 & ? [V38e5: $i] :
% 5.55/5.79 ( ( mem @ V38e5 @ A_27a )
% 5.55/5.79 & ? [V39e6: $i] :
% 5.55/5.79 ( ( mem @ V39e6 @ A_27a )
% 5.55/5.79 & ? [V40e7: $i] :
% 5.55/5.79 ( ( mem @ V40e7 @ A_27a )
% 5.55/5.79 & ? [V41e8: $i] :
% 5.55/5.79 ( ( mem @ V41e8 @ A_27a )
% 5.55/5.79 & ? [V42e9: $i] :
% 5.55/5.79 ( ( mem @ V42e9 @ A_27a )
% 5.55/5.79 & ? [V43e10: $i] :
% 5.55/5.79 ( ( mem @ V43e10 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V34e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V35e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V36e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V37e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V38e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V39e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V40e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V41e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V42e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V43e10 ) @ V33l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V44l_27: $i] :
% 5.55/5.79 ( ( mem @ V44l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V45e1: $i] :
% 5.55/5.79 ( ( mem @ V45e1 @ A_27a )
% 5.55/5.79 & ? [V46e2: $i] :
% 5.55/5.79 ( ( mem @ V46e2 @ A_27a )
% 5.55/5.79 & ? [V47e3: $i] :
% 5.55/5.79 ( ( mem @ V47e3 @ A_27a )
% 5.55/5.79 & ? [V48e4: $i] :
% 5.55/5.79 ( ( mem @ V48e4 @ A_27a )
% 5.55/5.79 & ? [V49e5: $i] :
% 5.55/5.79 ( ( mem @ V49e5 @ A_27a )
% 5.55/5.79 & ? [V50e6: $i] :
% 5.55/5.79 ( ( mem @ V50e6 @ A_27a )
% 5.55/5.79 & ? [V51e7: $i] :
% 5.55/5.79 ( ( mem @ V51e7 @ A_27a )
% 5.55/5.79 & ? [V52e8: $i] :
% 5.55/5.79 ( ( mem @ V52e8 @ A_27a )
% 5.55/5.79 & ? [V53e9: $i] :
% 5.55/5.79 ( ( mem @ V53e9 @ A_27a )
% 5.55/5.79 & ? [V54e10: $i] :
% 5.55/5.79 ( ( mem @ V54e10 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V45e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V46e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V47e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V48e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V49e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V50e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V51e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V52e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V53e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V54e10 ) @ V44l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.79 <=> ? [V55l_27: $i] :
% 5.55/5.79 ( ( mem @ V55l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V56e1: $i] :
% 5.55/5.79 ( ( mem @ V56e1 @ A_27a )
% 5.55/5.79 & ? [V57e2: $i] :
% 5.55/5.79 ( ( mem @ V57e2 @ A_27a )
% 5.55/5.79 & ? [V58e3: $i] :
% 5.55/5.79 ( ( mem @ V58e3 @ A_27a )
% 5.55/5.79 & ? [V59e4: $i] :
% 5.55/5.79 ( ( mem @ V59e4 @ A_27a )
% 5.55/5.79 & ? [V60e5: $i] :
% 5.55/5.79 ( ( mem @ V60e5 @ A_27a )
% 5.55/5.79 & ? [V61e6: $i] :
% 5.55/5.79 ( ( mem @ V61e6 @ A_27a )
% 5.55/5.79 & ? [V62e7: $i] :
% 5.55/5.79 ( ( mem @ V62e7 @ A_27a )
% 5.55/5.79 & ? [V63e8: $i] :
% 5.55/5.79 ( ( mem @ V63e8 @ A_27a )
% 5.55/5.79 & ? [V64e9: $i] :
% 5.55/5.79 ( ( mem @ V64e9 @ A_27a )
% 5.55/5.79 & ? [V65e10: $i] :
% 5.55/5.79 ( ( mem @ V65e10 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V56e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V57e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V58e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V59e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V60e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V61e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V62e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V63e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V64e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V65e10 ) @ V55l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V66l_27: $i] :
% 5.55/5.79 ( ( mem @ V66l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V67e1: $i] :
% 5.55/5.79 ( ( mem @ V67e1 @ A_27a )
% 5.55/5.79 & ? [V68e2: $i] :
% 5.55/5.79 ( ( mem @ V68e2 @ A_27a )
% 5.55/5.79 & ? [V69e3: $i] :
% 5.55/5.79 ( ( mem @ V69e3 @ A_27a )
% 5.55/5.79 & ? [V70e4: $i] :
% 5.55/5.79 ( ( mem @ V70e4 @ A_27a )
% 5.55/5.79 & ? [V71e5: $i] :
% 5.55/5.79 ( ( mem @ V71e5 @ A_27a )
% 5.55/5.79 & ? [V72e6: $i] :
% 5.55/5.79 ( ( mem @ V72e6 @ A_27a )
% 5.55/5.79 & ? [V73e7: $i] :
% 5.55/5.79 ( ( mem @ V73e7 @ A_27a )
% 5.55/5.79 & ? [V74e8: $i] :
% 5.55/5.79 ( ( mem @ V74e8 @ A_27a )
% 5.55/5.79 & ? [V75e9: $i] :
% 5.55/5.79 ( ( mem @ V75e9 @ A_27a )
% 5.55/5.79 & ? [V76e10: $i] :
% 5.55/5.79 ( ( mem @ V76e10 @ A_27a )
% 5.55/5.79 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V66l_27 ) ) )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V67e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V68e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V69e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V70e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V71e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V72e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V73e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V74e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V75e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V76e10 ) @ V66l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.79 <=> ? [V77l_27: $i] :
% 5.55/5.79 ( ( mem @ V77l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V78e1: $i] :
% 5.55/5.79 ( ( mem @ V78e1 @ A_27a )
% 5.55/5.79 & ? [V79e2: $i] :
% 5.55/5.79 ( ( mem @ V79e2 @ A_27a )
% 5.55/5.79 & ? [V80e3: $i] :
% 5.55/5.79 ( ( mem @ V80e3 @ A_27a )
% 5.55/5.79 & ? [V81e4: $i] :
% 5.55/5.79 ( ( mem @ V81e4 @ A_27a )
% 5.55/5.79 & ? [V82e5: $i] :
% 5.55/5.79 ( ( mem @ V82e5 @ A_27a )
% 5.55/5.79 & ? [V83e6: $i] :
% 5.55/5.79 ( ( mem @ V83e6 @ A_27a )
% 5.55/5.79 & ? [V84e7: $i] :
% 5.55/5.79 ( ( mem @ V84e7 @ A_27a )
% 5.55/5.79 & ? [V85e8: $i] :
% 5.55/5.79 ( ( mem @ V85e8 @ A_27a )
% 5.55/5.79 & ? [V86e9: $i] :
% 5.55/5.79 ( ( mem @ V86e9 @ A_27a )
% 5.55/5.79 & ? [V87e10: $i] :
% 5.55/5.79 ( ( mem @ V87e10 @ A_27a )
% 5.55/5.79 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V77l_27 ) ) )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V78e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V79e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V80e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V81e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V82e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V83e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V84e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V85e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V86e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V87e10 ) @ V77l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V88l_27: $i] :
% 5.55/5.79 ( ( mem @ V88l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V89e1: $i] :
% 5.55/5.79 ( ( mem @ V89e1 @ A_27a )
% 5.55/5.79 & ? [V90e2: $i] :
% 5.55/5.79 ( ( mem @ V90e2 @ A_27a )
% 5.55/5.79 & ? [V91e3: $i] :
% 5.55/5.79 ( ( mem @ V91e3 @ A_27a )
% 5.55/5.79 & ? [V92e4: $i] :
% 5.55/5.79 ( ( mem @ V92e4 @ A_27a )
% 5.55/5.79 & ? [V93e5: $i] :
% 5.55/5.79 ( ( mem @ V93e5 @ A_27a )
% 5.55/5.79 & ? [V94e6: $i] :
% 5.55/5.79 ( ( mem @ V94e6 @ A_27a )
% 5.55/5.79 & ? [V95e7: $i] :
% 5.55/5.79 ( ( mem @ V95e7 @ A_27a )
% 5.55/5.79 & ? [V96e8: $i] :
% 5.55/5.79 ( ( mem @ V96e8 @ A_27a )
% 5.55/5.79 & ? [V97e9: $i] :
% 5.55/5.79 ( ( mem @ V97e9 @ A_27a )
% 5.55/5.79 & ? [V98e10: $i] :
% 5.55/5.79 ( ( mem @ V98e10 @ A_27a )
% 5.55/5.79 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V88l_27 ) ) )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V89e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V90e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V91e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V92e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V93e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V94e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V95e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V96e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V97e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V98e10 ) @ V88l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.79 <=> ? [V99l_27: $i] :
% 5.55/5.79 ( ( mem @ V99l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V100e1: $i] :
% 5.55/5.79 ( ( mem @ V100e1 @ A_27a )
% 5.55/5.79 & ? [V101e2: $i] :
% 5.55/5.79 ( ( mem @ V101e2 @ A_27a )
% 5.55/5.79 & ? [V102e3: $i] :
% 5.55/5.79 ( ( mem @ V102e3 @ A_27a )
% 5.55/5.79 & ? [V103e4: $i] :
% 5.55/5.79 ( ( mem @ V103e4 @ A_27a )
% 5.55/5.79 & ? [V104e5: $i] :
% 5.55/5.79 ( ( mem @ V104e5 @ A_27a )
% 5.55/5.79 & ? [V105e6: $i] :
% 5.55/5.79 ( ( mem @ V105e6 @ A_27a )
% 5.55/5.79 & ? [V106e7: $i] :
% 5.55/5.79 ( ( mem @ V106e7 @ A_27a )
% 5.55/5.79 & ? [V107e8: $i] :
% 5.55/5.79 ( ( mem @ V107e8 @ A_27a )
% 5.55/5.79 & ? [V108e9: $i] :
% 5.55/5.79 ( ( mem @ V108e9 @ A_27a )
% 5.55/5.79 & ? [V109e10: $i] :
% 5.55/5.79 ( ( mem @ V109e10 @ A_27a )
% 5.55/5.79 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V99l_27 ) ) )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V100e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V101e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V102e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V103e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V104e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V105e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V106e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V107e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V108e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V109e10 ) @ V99l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.79 <=> ? [V110l_27: $i] :
% 5.55/5.79 ( ( mem @ V110l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V111e1: $i] :
% 5.55/5.79 ( ( mem @ V111e1 @ A_27a )
% 5.55/5.79 & ? [V112e2: $i] :
% 5.55/5.79 ( ( mem @ V112e2 @ A_27a )
% 5.55/5.79 & ? [V113e3: $i] :
% 5.55/5.79 ( ( mem @ V113e3 @ A_27a )
% 5.55/5.79 & ? [V114e4: $i] :
% 5.55/5.79 ( ( mem @ V114e4 @ A_27a )
% 5.55/5.79 & ? [V115e5: $i] :
% 5.55/5.79 ( ( mem @ V115e5 @ A_27a )
% 5.55/5.79 & ? [V116e6: $i] :
% 5.55/5.79 ( ( mem @ V116e6 @ A_27a )
% 5.55/5.79 & ? [V117e7: $i] :
% 5.55/5.79 ( ( mem @ V117e7 @ A_27a )
% 5.55/5.79 & ? [V118e8: $i] :
% 5.55/5.79 ( ( mem @ V118e8 @ A_27a )
% 5.55/5.79 & ? [V119e9: $i] :
% 5.55/5.79 ( ( mem @ V119e9 @ A_27a )
% 5.55/5.79 & ? [V120e10: $i] :
% 5.55/5.79 ( ( mem @ V120e10 @ A_27a )
% 5.55/5.79 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V110l_27 ) )
% 5.55/5.79 = V1x )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V111e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V112e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V113e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V114e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V115e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V116e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V117e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V118e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V119e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V120e10 ) @ V110l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V121l_27: $i] :
% 5.55/5.79 ( ( mem @ V121l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V122e1: $i] :
% 5.55/5.79 ( ( mem @ V122e1 @ A_27a )
% 5.55/5.79 & ? [V123e2: $i] :
% 5.55/5.79 ( ( mem @ V123e2 @ A_27a )
% 5.55/5.79 & ? [V124e3: $i] :
% 5.55/5.79 ( ( mem @ V124e3 @ A_27a )
% 5.55/5.79 & ? [V125e4: $i] :
% 5.55/5.79 ( ( mem @ V125e4 @ A_27a )
% 5.55/5.79 & ? [V126e5: $i] :
% 5.55/5.79 ( ( mem @ V126e5 @ A_27a )
% 5.55/5.79 & ? [V127e6: $i] :
% 5.55/5.79 ( ( mem @ V127e6 @ A_27a )
% 5.55/5.79 & ? [V128e7: $i] :
% 5.55/5.79 ( ( mem @ V128e7 @ A_27a )
% 5.55/5.79 & ? [V129e8: $i] :
% 5.55/5.79 ( ( mem @ V129e8 @ A_27a )
% 5.55/5.79 & ? [V130e9: $i] :
% 5.55/5.79 ( ( mem @ V130e9 @ A_27a )
% 5.55/5.79 & ? [V131e10: $i] :
% 5.55/5.79 ( ( mem @ V131e10 @ A_27a )
% 5.55/5.79 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V121l_27 ) )
% 5.55/5.79 = V1x )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V122e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V123e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V124e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V125e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V126e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V127e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V128e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V129e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V130e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V131e10 ) @ V121l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.79 <=> ? [V132l_27: $i] :
% 5.55/5.79 ( ( mem @ V132l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V133e1: $i] :
% 5.55/5.79 ( ( mem @ V133e1 @ A_27a )
% 5.55/5.79 & ? [V134e2: $i] :
% 5.55/5.79 ( ( mem @ V134e2 @ A_27a )
% 5.55/5.79 & ? [V135e3: $i] :
% 5.55/5.79 ( ( mem @ V135e3 @ A_27a )
% 5.55/5.79 & ? [V136e4: $i] :
% 5.55/5.79 ( ( mem @ V136e4 @ A_27a )
% 5.55/5.79 & ? [V137e5: $i] :
% 5.55/5.79 ( ( mem @ V137e5 @ A_27a )
% 5.55/5.79 & ? [V138e6: $i] :
% 5.55/5.79 ( ( mem @ V138e6 @ A_27a )
% 5.55/5.79 & ? [V139e7: $i] :
% 5.55/5.79 ( ( mem @ V139e7 @ A_27a )
% 5.55/5.79 & ? [V140e8: $i] :
% 5.55/5.79 ( ( mem @ V140e8 @ A_27a )
% 5.55/5.79 & ? [V141e9: $i] :
% 5.55/5.79 ( ( mem @ V141e9 @ A_27a )
% 5.55/5.79 & ? [V142e10: $i] :
% 5.55/5.79 ( ( mem @ V142e10 @ A_27a )
% 5.55/5.79 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V132l_27 ) )
% 5.55/5.79 = V1x )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V133e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V134e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V135e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V136e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V137e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V138e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V139e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V140e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V141e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V142e10 ) @ V132l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V143l_27: $i] :
% 5.55/5.79 ( ( mem @ V143l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V144e1: $i] :
% 5.55/5.79 ( ( mem @ V144e1 @ A_27a )
% 5.55/5.79 & ? [V145e2: $i] :
% 5.55/5.79 ( ( mem @ V145e2 @ A_27a )
% 5.55/5.79 & ? [V146e3: $i] :
% 5.55/5.79 ( ( mem @ V146e3 @ A_27a )
% 5.55/5.79 & ? [V147e4: $i] :
% 5.55/5.79 ( ( mem @ V147e4 @ A_27a )
% 5.55/5.79 & ? [V148e5: $i] :
% 5.55/5.79 ( ( mem @ V148e5 @ A_27a )
% 5.55/5.79 & ? [V149e6: $i] :
% 5.55/5.79 ( ( mem @ V149e6 @ A_27a )
% 5.55/5.79 & ? [V150e7: $i] :
% 5.55/5.79 ( ( mem @ V150e7 @ A_27a )
% 5.55/5.79 & ? [V151e8: $i] :
% 5.55/5.79 ( ( mem @ V151e8 @ A_27a )
% 5.55/5.79 & ? [V152e9: $i] :
% 5.55/5.79 ( ( mem @ V152e9 @ A_27a )
% 5.55/5.79 & ? [V153e10: $i] :
% 5.55/5.79 ( ( mem @ V153e10 @ A_27a )
% 5.55/5.79 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V143l_27 ) )
% 5.55/5.79 = V1x )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V144e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V145e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V146e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V147e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V148e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V149e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V150e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V151e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V152e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V153e10 ) @ V143l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.79 <=> ? [V154e1: $i] :
% 5.55/5.79 ( ( mem @ V154e1 @ A_27a )
% 5.55/5.79 & ? [V155e2: $i] :
% 5.55/5.79 ( ( mem @ V155e2 @ A_27a )
% 5.55/5.79 & ? [V156e3: $i] :
% 5.55/5.79 ( ( mem @ V156e3 @ A_27a )
% 5.55/5.79 & ? [V157e4: $i] :
% 5.55/5.79 ( ( mem @ V157e4 @ A_27a )
% 5.55/5.79 & ? [V158e5: $i] :
% 5.55/5.79 ( ( mem @ V158e5 @ A_27a )
% 5.55/5.79 & ? [V159e6: $i] :
% 5.55/5.79 ( ( mem @ V159e6 @ A_27a )
% 5.55/5.79 & ? [V160e7: $i] :
% 5.55/5.79 ( ( mem @ V160e7 @ A_27a )
% 5.55/5.79 & ? [V161e8: $i] :
% 5.55/5.79 ( ( mem @ V161e8 @ A_27a )
% 5.55/5.79 & ? [V162e9: $i] :
% 5.55/5.79 ( ( mem @ V162e9 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V154e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V155e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V156e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V157e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V158e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V159e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V160e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V161e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V162e9 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V163e1: $i] :
% 5.55/5.79 ( ( mem @ V163e1 @ A_27a )
% 5.55/5.79 & ? [V164e2: $i] :
% 5.55/5.79 ( ( mem @ V164e2 @ A_27a )
% 5.55/5.79 & ? [V165e3: $i] :
% 5.55/5.79 ( ( mem @ V165e3 @ A_27a )
% 5.55/5.79 & ? [V166e4: $i] :
% 5.55/5.79 ( ( mem @ V166e4 @ A_27a )
% 5.55/5.79 & ? [V167e5: $i] :
% 5.55/5.79 ( ( mem @ V167e5 @ A_27a )
% 5.55/5.79 & ? [V168e6: $i] :
% 5.55/5.79 ( ( mem @ V168e6 @ A_27a )
% 5.55/5.79 & ? [V169e7: $i] :
% 5.55/5.79 ( ( mem @ V169e7 @ A_27a )
% 5.55/5.79 & ? [V170e8: $i] :
% 5.55/5.79 ( ( mem @ V170e8 @ A_27a )
% 5.55/5.79 & ? [V171e9: $i] :
% 5.55/5.79 ( ( mem @ V171e9 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V163e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V164e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V165e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V166e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V167e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V168e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V169e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V170e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V171e9 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V172l_27: $i] :
% 5.55/5.79 ( ( mem @ V172l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V173e1: $i] :
% 5.55/5.79 ( ( mem @ V173e1 @ A_27a )
% 5.55/5.79 & ? [V174e2: $i] :
% 5.55/5.79 ( ( mem @ V174e2 @ A_27a )
% 5.55/5.79 & ? [V175e3: $i] :
% 5.55/5.79 ( ( mem @ V175e3 @ A_27a )
% 5.55/5.79 & ? [V176e4: $i] :
% 5.55/5.79 ( ( mem @ V176e4 @ A_27a )
% 5.55/5.79 & ? [V177e5: $i] :
% 5.55/5.79 ( ( mem @ V177e5 @ A_27a )
% 5.55/5.79 & ? [V178e6: $i] :
% 5.55/5.79 ( ( mem @ V178e6 @ A_27a )
% 5.55/5.79 & ? [V179e7: $i] :
% 5.55/5.79 ( ( mem @ V179e7 @ A_27a )
% 5.55/5.79 & ? [V180e8: $i] :
% 5.55/5.79 ( ( mem @ V180e8 @ A_27a )
% 5.55/5.79 & ? [V181e9: $i] :
% 5.55/5.79 ( ( mem @ V181e9 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V173e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V174e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V175e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V176e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V177e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V178e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V179e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V180e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V181e9 ) @ V172l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.79 <=> ? [V182l_27: $i] :
% 5.55/5.79 ( ( mem @ V182l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V183e1: $i] :
% 5.55/5.79 ( ( mem @ V183e1 @ A_27a )
% 5.55/5.79 & ? [V184e2: $i] :
% 5.55/5.79 ( ( mem @ V184e2 @ A_27a )
% 5.55/5.79 & ? [V185e3: $i] :
% 5.55/5.79 ( ( mem @ V185e3 @ A_27a )
% 5.55/5.79 & ? [V186e4: $i] :
% 5.55/5.79 ( ( mem @ V186e4 @ A_27a )
% 5.55/5.79 & ? [V187e5: $i] :
% 5.55/5.79 ( ( mem @ V187e5 @ A_27a )
% 5.55/5.79 & ? [V188e6: $i] :
% 5.55/5.79 ( ( mem @ V188e6 @ A_27a )
% 5.55/5.79 & ? [V189e7: $i] :
% 5.55/5.79 ( ( mem @ V189e7 @ A_27a )
% 5.55/5.79 & ? [V190e8: $i] :
% 5.55/5.79 ( ( mem @ V190e8 @ A_27a )
% 5.55/5.79 & ? [V191e9: $i] :
% 5.55/5.79 ( ( mem @ V191e9 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V183e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V184e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V185e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V186e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V187e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V188e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V189e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V190e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V191e9 ) @ V182l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V192l_27: $i] :
% 5.55/5.79 ( ( mem @ V192l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V193e1: $i] :
% 5.55/5.79 ( ( mem @ V193e1 @ A_27a )
% 5.55/5.79 & ? [V194e2: $i] :
% 5.55/5.79 ( ( mem @ V194e2 @ A_27a )
% 5.55/5.79 & ? [V195e3: $i] :
% 5.55/5.79 ( ( mem @ V195e3 @ A_27a )
% 5.55/5.79 & ? [V196e4: $i] :
% 5.55/5.79 ( ( mem @ V196e4 @ A_27a )
% 5.55/5.79 & ? [V197e5: $i] :
% 5.55/5.79 ( ( mem @ V197e5 @ A_27a )
% 5.55/5.79 & ? [V198e6: $i] :
% 5.55/5.79 ( ( mem @ V198e6 @ A_27a )
% 5.55/5.79 & ? [V199e7: $i] :
% 5.55/5.79 ( ( mem @ V199e7 @ A_27a )
% 5.55/5.79 & ? [V200e8: $i] :
% 5.55/5.79 ( ( mem @ V200e8 @ A_27a )
% 5.55/5.79 & ? [V201e9: $i] :
% 5.55/5.79 ( ( mem @ V201e9 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V193e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V194e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V195e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V196e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V197e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V198e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V199e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V200e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V201e9 ) @ V192l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.79 <=> ? [V202l_27: $i] :
% 5.55/5.79 ( ( mem @ V202l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V203e1: $i] :
% 5.55/5.79 ( ( mem @ V203e1 @ A_27a )
% 5.55/5.79 & ? [V204e2: $i] :
% 5.55/5.79 ( ( mem @ V204e2 @ A_27a )
% 5.55/5.79 & ? [V205e3: $i] :
% 5.55/5.79 ( ( mem @ V205e3 @ A_27a )
% 5.55/5.79 & ? [V206e4: $i] :
% 5.55/5.79 ( ( mem @ V206e4 @ A_27a )
% 5.55/5.79 & ? [V207e5: $i] :
% 5.55/5.79 ( ( mem @ V207e5 @ A_27a )
% 5.55/5.79 & ? [V208e6: $i] :
% 5.55/5.79 ( ( mem @ V208e6 @ A_27a )
% 5.55/5.79 & ? [V209e7: $i] :
% 5.55/5.79 ( ( mem @ V209e7 @ A_27a )
% 5.55/5.79 & ? [V210e8: $i] :
% 5.55/5.79 ( ( mem @ V210e8 @ A_27a )
% 5.55/5.79 & ? [V211e9: $i] :
% 5.55/5.79 ( ( mem @ V211e9 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V203e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V204e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V205e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V206e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V207e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V208e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V209e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V210e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V211e9 ) @ V202l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V212l_27: $i] :
% 5.55/5.79 ( ( mem @ V212l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V213e1: $i] :
% 5.55/5.79 ( ( mem @ V213e1 @ A_27a )
% 5.55/5.79 & ? [V214e2: $i] :
% 5.55/5.79 ( ( mem @ V214e2 @ A_27a )
% 5.55/5.79 & ? [V215e3: $i] :
% 5.55/5.79 ( ( mem @ V215e3 @ A_27a )
% 5.55/5.79 & ? [V216e4: $i] :
% 5.55/5.79 ( ( mem @ V216e4 @ A_27a )
% 5.55/5.79 & ? [V217e5: $i] :
% 5.55/5.79 ( ( mem @ V217e5 @ A_27a )
% 5.55/5.79 & ? [V218e6: $i] :
% 5.55/5.79 ( ( mem @ V218e6 @ A_27a )
% 5.55/5.79 & ? [V219e7: $i] :
% 5.55/5.79 ( ( mem @ V219e7 @ A_27a )
% 5.55/5.79 & ? [V220e8: $i] :
% 5.55/5.79 ( ( mem @ V220e8 @ A_27a )
% 5.55/5.79 & ? [V221e9: $i] :
% 5.55/5.79 ( ( mem @ V221e9 @ A_27a )
% 5.55/5.79 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V212l_27 ) ) )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V213e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V214e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V215e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V216e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V217e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V218e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V219e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V220e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V221e9 ) @ V212l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.79 <=> ? [V222l_27: $i] :
% 5.55/5.79 ( ( mem @ V222l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V223e1: $i] :
% 5.55/5.79 ( ( mem @ V223e1 @ A_27a )
% 5.55/5.79 & ? [V224e2: $i] :
% 5.55/5.79 ( ( mem @ V224e2 @ A_27a )
% 5.55/5.79 & ? [V225e3: $i] :
% 5.55/5.79 ( ( mem @ V225e3 @ A_27a )
% 5.55/5.79 & ? [V226e4: $i] :
% 5.55/5.79 ( ( mem @ V226e4 @ A_27a )
% 5.55/5.79 & ? [V227e5: $i] :
% 5.55/5.79 ( ( mem @ V227e5 @ A_27a )
% 5.55/5.79 & ? [V228e6: $i] :
% 5.55/5.79 ( ( mem @ V228e6 @ A_27a )
% 5.55/5.79 & ? [V229e7: $i] :
% 5.55/5.79 ( ( mem @ V229e7 @ A_27a )
% 5.55/5.79 & ? [V230e8: $i] :
% 5.55/5.79 ( ( mem @ V230e8 @ A_27a )
% 5.55/5.79 & ? [V231e9: $i] :
% 5.55/5.79 ( ( mem @ V231e9 @ A_27a )
% 5.55/5.79 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V222l_27 ) ) )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V223e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V224e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V225e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V226e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V227e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V228e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V229e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V230e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V231e9 ) @ V222l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V232l_27: $i] :
% 5.55/5.79 ( ( mem @ V232l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V233e1: $i] :
% 5.55/5.79 ( ( mem @ V233e1 @ A_27a )
% 5.55/5.79 & ? [V234e2: $i] :
% 5.55/5.79 ( ( mem @ V234e2 @ A_27a )
% 5.55/5.79 & ? [V235e3: $i] :
% 5.55/5.79 ( ( mem @ V235e3 @ A_27a )
% 5.55/5.79 & ? [V236e4: $i] :
% 5.55/5.79 ( ( mem @ V236e4 @ A_27a )
% 5.55/5.79 & ? [V237e5: $i] :
% 5.55/5.79 ( ( mem @ V237e5 @ A_27a )
% 5.55/5.79 & ? [V238e6: $i] :
% 5.55/5.79 ( ( mem @ V238e6 @ A_27a )
% 5.55/5.79 & ? [V239e7: $i] :
% 5.55/5.79 ( ( mem @ V239e7 @ A_27a )
% 5.55/5.79 & ? [V240e8: $i] :
% 5.55/5.79 ( ( mem @ V240e8 @ A_27a )
% 5.55/5.79 & ? [V241e9: $i] :
% 5.55/5.79 ( ( mem @ V241e9 @ A_27a )
% 5.55/5.79 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V232l_27 ) ) )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V233e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V234e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V235e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V236e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V237e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V238e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V239e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V240e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V241e9 ) @ V232l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.79 <=> ? [V242l_27: $i] :
% 5.55/5.79 ( ( mem @ V242l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V243e1: $i] :
% 5.55/5.79 ( ( mem @ V243e1 @ A_27a )
% 5.55/5.79 & ? [V244e2: $i] :
% 5.55/5.79 ( ( mem @ V244e2 @ A_27a )
% 5.55/5.79 & ? [V245e3: $i] :
% 5.55/5.79 ( ( mem @ V245e3 @ A_27a )
% 5.55/5.79 & ? [V246e4: $i] :
% 5.55/5.79 ( ( mem @ V246e4 @ A_27a )
% 5.55/5.79 & ? [V247e5: $i] :
% 5.55/5.79 ( ( mem @ V247e5 @ A_27a )
% 5.55/5.79 & ? [V248e6: $i] :
% 5.55/5.79 ( ( mem @ V248e6 @ A_27a )
% 5.55/5.79 & ? [V249e7: $i] :
% 5.55/5.79 ( ( mem @ V249e7 @ A_27a )
% 5.55/5.79 & ? [V250e8: $i] :
% 5.55/5.79 ( ( mem @ V250e8 @ A_27a )
% 5.55/5.79 & ? [V251e9: $i] :
% 5.55/5.79 ( ( mem @ V251e9 @ A_27a )
% 5.55/5.79 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V242l_27 ) ) )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V243e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V244e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V245e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V246e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V247e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V248e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V249e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V250e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V251e9 ) @ V242l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.79 <=> ? [V252l_27: $i] :
% 5.55/5.79 ( ( mem @ V252l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V253e1: $i] :
% 5.55/5.79 ( ( mem @ V253e1 @ A_27a )
% 5.55/5.79 & ? [V254e2: $i] :
% 5.55/5.79 ( ( mem @ V254e2 @ A_27a )
% 5.55/5.79 & ? [V255e3: $i] :
% 5.55/5.79 ( ( mem @ V255e3 @ A_27a )
% 5.55/5.79 & ? [V256e4: $i] :
% 5.55/5.79 ( ( mem @ V256e4 @ A_27a )
% 5.55/5.79 & ? [V257e5: $i] :
% 5.55/5.79 ( ( mem @ V257e5 @ A_27a )
% 5.55/5.79 & ? [V258e6: $i] :
% 5.55/5.79 ( ( mem @ V258e6 @ A_27a )
% 5.55/5.79 & ? [V259e7: $i] :
% 5.55/5.79 ( ( mem @ V259e7 @ A_27a )
% 5.55/5.79 & ? [V260e8: $i] :
% 5.55/5.79 ( ( mem @ V260e8 @ A_27a )
% 5.55/5.79 & ? [V261e9: $i] :
% 5.55/5.79 ( ( mem @ V261e9 @ A_27a )
% 5.55/5.79 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V252l_27 ) )
% 5.55/5.79 = V1x )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V253e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V254e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V255e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V256e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V257e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V258e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V259e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V260e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V261e9 ) @ V252l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V262l_27: $i] :
% 5.55/5.79 ( ( mem @ V262l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V263e1: $i] :
% 5.55/5.79 ( ( mem @ V263e1 @ A_27a )
% 5.55/5.79 & ? [V264e2: $i] :
% 5.55/5.79 ( ( mem @ V264e2 @ A_27a )
% 5.55/5.79 & ? [V265e3: $i] :
% 5.55/5.79 ( ( mem @ V265e3 @ A_27a )
% 5.55/5.79 & ? [V266e4: $i] :
% 5.55/5.79 ( ( mem @ V266e4 @ A_27a )
% 5.55/5.79 & ? [V267e5: $i] :
% 5.55/5.79 ( ( mem @ V267e5 @ A_27a )
% 5.55/5.79 & ? [V268e6: $i] :
% 5.55/5.79 ( ( mem @ V268e6 @ A_27a )
% 5.55/5.79 & ? [V269e7: $i] :
% 5.55/5.79 ( ( mem @ V269e7 @ A_27a )
% 5.55/5.79 & ? [V270e8: $i] :
% 5.55/5.79 ( ( mem @ V270e8 @ A_27a )
% 5.55/5.79 & ? [V271e9: $i] :
% 5.55/5.79 ( ( mem @ V271e9 @ A_27a )
% 5.55/5.79 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V262l_27 ) )
% 5.55/5.79 = V1x )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V263e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V264e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V265e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V266e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V267e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V268e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V269e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V270e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V271e9 ) @ V262l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.79 <=> ? [V272l_27: $i] :
% 5.55/5.79 ( ( mem @ V272l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V273e1: $i] :
% 5.55/5.79 ( ( mem @ V273e1 @ A_27a )
% 5.55/5.79 & ? [V274e2: $i] :
% 5.55/5.79 ( ( mem @ V274e2 @ A_27a )
% 5.55/5.79 & ? [V275e3: $i] :
% 5.55/5.79 ( ( mem @ V275e3 @ A_27a )
% 5.55/5.79 & ? [V276e4: $i] :
% 5.55/5.79 ( ( mem @ V276e4 @ A_27a )
% 5.55/5.79 & ? [V277e5: $i] :
% 5.55/5.79 ( ( mem @ V277e5 @ A_27a )
% 5.55/5.79 & ? [V278e6: $i] :
% 5.55/5.79 ( ( mem @ V278e6 @ A_27a )
% 5.55/5.79 & ? [V279e7: $i] :
% 5.55/5.79 ( ( mem @ V279e7 @ A_27a )
% 5.55/5.79 & ? [V280e8: $i] :
% 5.55/5.79 ( ( mem @ V280e8 @ A_27a )
% 5.55/5.79 & ? [V281e9: $i] :
% 5.55/5.79 ( ( mem @ V281e9 @ A_27a )
% 5.55/5.79 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V272l_27 ) )
% 5.55/5.79 = V1x )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V273e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V274e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V275e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V276e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V277e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V278e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V279e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V280e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V281e9 ) @ V272l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V282l_27: $i] :
% 5.55/5.79 ( ( mem @ V282l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V283e1: $i] :
% 5.55/5.79 ( ( mem @ V283e1 @ A_27a )
% 5.55/5.79 & ? [V284e2: $i] :
% 5.55/5.79 ( ( mem @ V284e2 @ A_27a )
% 5.55/5.79 & ? [V285e3: $i] :
% 5.55/5.79 ( ( mem @ V285e3 @ A_27a )
% 5.55/5.79 & ? [V286e4: $i] :
% 5.55/5.79 ( ( mem @ V286e4 @ A_27a )
% 5.55/5.79 & ? [V287e5: $i] :
% 5.55/5.79 ( ( mem @ V287e5 @ A_27a )
% 5.55/5.79 & ? [V288e6: $i] :
% 5.55/5.79 ( ( mem @ V288e6 @ A_27a )
% 5.55/5.79 & ? [V289e7: $i] :
% 5.55/5.79 ( ( mem @ V289e7 @ A_27a )
% 5.55/5.79 & ? [V290e8: $i] :
% 5.55/5.79 ( ( mem @ V290e8 @ A_27a )
% 5.55/5.79 & ? [V291e9: $i] :
% 5.55/5.79 ( ( mem @ V291e9 @ A_27a )
% 5.55/5.79 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V282l_27 ) )
% 5.55/5.79 = V1x )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V283e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V284e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V285e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V286e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V287e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V288e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V289e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V290e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V291e9 ) @ V282l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.79 <=> ? [V292e1: $i] :
% 5.55/5.79 ( ( mem @ V292e1 @ A_27a )
% 5.55/5.79 & ? [V293e2: $i] :
% 5.55/5.79 ( ( mem @ V293e2 @ A_27a )
% 5.55/5.79 & ? [V294e3: $i] :
% 5.55/5.79 ( ( mem @ V294e3 @ A_27a )
% 5.55/5.79 & ? [V295e4: $i] :
% 5.55/5.79 ( ( mem @ V295e4 @ A_27a )
% 5.55/5.79 & ? [V296e5: $i] :
% 5.55/5.79 ( ( mem @ V296e5 @ A_27a )
% 5.55/5.79 & ? [V297e6: $i] :
% 5.55/5.79 ( ( mem @ V297e6 @ A_27a )
% 5.55/5.79 & ? [V298e7: $i] :
% 5.55/5.79 ( ( mem @ V298e7 @ A_27a )
% 5.55/5.79 & ? [V299e8: $i] :
% 5.55/5.79 ( ( mem @ V299e8 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V292e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V293e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V294e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V295e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V296e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V297e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V298e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V299e8 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V300e1: $i] :
% 5.55/5.79 ( ( mem @ V300e1 @ A_27a )
% 5.55/5.79 & ? [V301e2: $i] :
% 5.55/5.79 ( ( mem @ V301e2 @ A_27a )
% 5.55/5.79 & ? [V302e3: $i] :
% 5.55/5.79 ( ( mem @ V302e3 @ A_27a )
% 5.55/5.79 & ? [V303e4: $i] :
% 5.55/5.79 ( ( mem @ V303e4 @ A_27a )
% 5.55/5.79 & ? [V304e5: $i] :
% 5.55/5.79 ( ( mem @ V304e5 @ A_27a )
% 5.55/5.79 & ? [V305e6: $i] :
% 5.55/5.79 ( ( mem @ V305e6 @ A_27a )
% 5.55/5.79 & ? [V306e7: $i] :
% 5.55/5.79 ( ( mem @ V306e7 @ A_27a )
% 5.55/5.79 & ? [V307e8: $i] :
% 5.55/5.79 ( ( mem @ V307e8 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V300e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V301e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V302e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V303e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V304e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V305e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V306e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V307e8 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V308l_27: $i] :
% 5.55/5.79 ( ( mem @ V308l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V309e1: $i] :
% 5.55/5.79 ( ( mem @ V309e1 @ A_27a )
% 5.55/5.79 & ? [V310e2: $i] :
% 5.55/5.79 ( ( mem @ V310e2 @ A_27a )
% 5.55/5.79 & ? [V311e3: $i] :
% 5.55/5.79 ( ( mem @ V311e3 @ A_27a )
% 5.55/5.79 & ? [V312e4: $i] :
% 5.55/5.79 ( ( mem @ V312e4 @ A_27a )
% 5.55/5.79 & ? [V313e5: $i] :
% 5.55/5.79 ( ( mem @ V313e5 @ A_27a )
% 5.55/5.79 & ? [V314e6: $i] :
% 5.55/5.79 ( ( mem @ V314e6 @ A_27a )
% 5.55/5.79 & ? [V315e7: $i] :
% 5.55/5.79 ( ( mem @ V315e7 @ A_27a )
% 5.55/5.79 & ? [V316e8: $i] :
% 5.55/5.79 ( ( mem @ V316e8 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V309e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V310e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V311e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V312e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V313e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V314e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V315e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V316e8 ) @ V308l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.79 <=> ? [V317l_27: $i] :
% 5.55/5.79 ( ( mem @ V317l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V318e1: $i] :
% 5.55/5.79 ( ( mem @ V318e1 @ A_27a )
% 5.55/5.79 & ? [V319e2: $i] :
% 5.55/5.79 ( ( mem @ V319e2 @ A_27a )
% 5.55/5.79 & ? [V320e3: $i] :
% 5.55/5.79 ( ( mem @ V320e3 @ A_27a )
% 5.55/5.79 & ? [V321e4: $i] :
% 5.55/5.79 ( ( mem @ V321e4 @ A_27a )
% 5.55/5.79 & ? [V322e5: $i] :
% 5.55/5.79 ( ( mem @ V322e5 @ A_27a )
% 5.55/5.79 & ? [V323e6: $i] :
% 5.55/5.79 ( ( mem @ V323e6 @ A_27a )
% 5.55/5.79 & ? [V324e7: $i] :
% 5.55/5.79 ( ( mem @ V324e7 @ A_27a )
% 5.55/5.79 & ? [V325e8: $i] :
% 5.55/5.79 ( ( mem @ V325e8 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V318e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V319e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V320e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V321e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V322e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V323e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V324e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V325e8 ) @ V317l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V326l_27: $i] :
% 5.55/5.79 ( ( mem @ V326l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V327e1: $i] :
% 5.55/5.79 ( ( mem @ V327e1 @ A_27a )
% 5.55/5.79 & ? [V328e2: $i] :
% 5.55/5.79 ( ( mem @ V328e2 @ A_27a )
% 5.55/5.79 & ? [V329e3: $i] :
% 5.55/5.79 ( ( mem @ V329e3 @ A_27a )
% 5.55/5.79 & ? [V330e4: $i] :
% 5.55/5.79 ( ( mem @ V330e4 @ A_27a )
% 5.55/5.79 & ? [V331e5: $i] :
% 5.55/5.79 ( ( mem @ V331e5 @ A_27a )
% 5.55/5.79 & ? [V332e6: $i] :
% 5.55/5.79 ( ( mem @ V332e6 @ A_27a )
% 5.55/5.79 & ? [V333e7: $i] :
% 5.55/5.79 ( ( mem @ V333e7 @ A_27a )
% 5.55/5.79 & ? [V334e8: $i] :
% 5.55/5.79 ( ( mem @ V334e8 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V327e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V328e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V329e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V330e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V331e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V332e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V333e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V334e8 ) @ V326l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.79 <=> ? [V335l_27: $i] :
% 5.55/5.79 ( ( mem @ V335l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V336e1: $i] :
% 5.55/5.79 ( ( mem @ V336e1 @ A_27a )
% 5.55/5.79 & ? [V337e2: $i] :
% 5.55/5.79 ( ( mem @ V337e2 @ A_27a )
% 5.55/5.79 & ? [V338e3: $i] :
% 5.55/5.79 ( ( mem @ V338e3 @ A_27a )
% 5.55/5.79 & ? [V339e4: $i] :
% 5.55/5.79 ( ( mem @ V339e4 @ A_27a )
% 5.55/5.79 & ? [V340e5: $i] :
% 5.55/5.79 ( ( mem @ V340e5 @ A_27a )
% 5.55/5.79 & ? [V341e6: $i] :
% 5.55/5.79 ( ( mem @ V341e6 @ A_27a )
% 5.55/5.79 & ? [V342e7: $i] :
% 5.55/5.79 ( ( mem @ V342e7 @ A_27a )
% 5.55/5.79 & ? [V343e8: $i] :
% 5.55/5.79 ( ( mem @ V343e8 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V336e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V337e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V338e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V339e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V340e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V341e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V342e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V343e8 ) @ V335l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V344l_27: $i] :
% 5.55/5.79 ( ( mem @ V344l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V345e1: $i] :
% 5.55/5.79 ( ( mem @ V345e1 @ A_27a )
% 5.55/5.79 & ? [V346e2: $i] :
% 5.55/5.79 ( ( mem @ V346e2 @ A_27a )
% 5.55/5.79 & ? [V347e3: $i] :
% 5.55/5.79 ( ( mem @ V347e3 @ A_27a )
% 5.55/5.79 & ? [V348e4: $i] :
% 5.55/5.79 ( ( mem @ V348e4 @ A_27a )
% 5.55/5.79 & ? [V349e5: $i] :
% 5.55/5.79 ( ( mem @ V349e5 @ A_27a )
% 5.55/5.79 & ? [V350e6: $i] :
% 5.55/5.79 ( ( mem @ V350e6 @ A_27a )
% 5.55/5.79 & ? [V351e7: $i] :
% 5.55/5.79 ( ( mem @ V351e7 @ A_27a )
% 5.55/5.79 & ? [V352e8: $i] :
% 5.55/5.79 ( ( mem @ V352e8 @ A_27a )
% 5.55/5.79 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V344l_27 ) ) )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V345e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V346e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V347e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V348e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V349e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V350e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V351e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V352e8 ) @ V344l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.79 <=> ? [V353l_27: $i] :
% 5.55/5.79 ( ( mem @ V353l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V354e1: $i] :
% 5.55/5.79 ( ( mem @ V354e1 @ A_27a )
% 5.55/5.79 & ? [V355e2: $i] :
% 5.55/5.79 ( ( mem @ V355e2 @ A_27a )
% 5.55/5.79 & ? [V356e3: $i] :
% 5.55/5.79 ( ( mem @ V356e3 @ A_27a )
% 5.55/5.79 & ? [V357e4: $i] :
% 5.55/5.79 ( ( mem @ V357e4 @ A_27a )
% 5.55/5.79 & ? [V358e5: $i] :
% 5.55/5.79 ( ( mem @ V358e5 @ A_27a )
% 5.55/5.79 & ? [V359e6: $i] :
% 5.55/5.79 ( ( mem @ V359e6 @ A_27a )
% 5.55/5.79 & ? [V360e7: $i] :
% 5.55/5.79 ( ( mem @ V360e7 @ A_27a )
% 5.55/5.79 & ? [V361e8: $i] :
% 5.55/5.79 ( ( mem @ V361e8 @ A_27a )
% 5.55/5.79 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V353l_27 ) ) )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V354e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V355e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V356e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V357e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V358e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V359e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V360e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V361e8 ) @ V353l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V362l_27: $i] :
% 5.55/5.79 ( ( mem @ V362l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V363e1: $i] :
% 5.55/5.79 ( ( mem @ V363e1 @ A_27a )
% 5.55/5.79 & ? [V364e2: $i] :
% 5.55/5.79 ( ( mem @ V364e2 @ A_27a )
% 5.55/5.79 & ? [V365e3: $i] :
% 5.55/5.79 ( ( mem @ V365e3 @ A_27a )
% 5.55/5.79 & ? [V366e4: $i] :
% 5.55/5.79 ( ( mem @ V366e4 @ A_27a )
% 5.55/5.79 & ? [V367e5: $i] :
% 5.55/5.79 ( ( mem @ V367e5 @ A_27a )
% 5.55/5.79 & ? [V368e6: $i] :
% 5.55/5.79 ( ( mem @ V368e6 @ A_27a )
% 5.55/5.79 & ? [V369e7: $i] :
% 5.55/5.79 ( ( mem @ V369e7 @ A_27a )
% 5.55/5.79 & ? [V370e8: $i] :
% 5.55/5.79 ( ( mem @ V370e8 @ A_27a )
% 5.55/5.79 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V362l_27 ) ) )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V363e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V364e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V365e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V366e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V367e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V368e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V369e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V370e8 ) @ V362l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.79 <=> ? [V371l_27: $i] :
% 5.55/5.79 ( ( mem @ V371l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V372e1: $i] :
% 5.55/5.79 ( ( mem @ V372e1 @ A_27a )
% 5.55/5.79 & ? [V373e2: $i] :
% 5.55/5.79 ( ( mem @ V373e2 @ A_27a )
% 5.55/5.79 & ? [V374e3: $i] :
% 5.55/5.79 ( ( mem @ V374e3 @ A_27a )
% 5.55/5.79 & ? [V375e4: $i] :
% 5.55/5.79 ( ( mem @ V375e4 @ A_27a )
% 5.55/5.79 & ? [V376e5: $i] :
% 5.55/5.79 ( ( mem @ V376e5 @ A_27a )
% 5.55/5.79 & ? [V377e6: $i] :
% 5.55/5.79 ( ( mem @ V377e6 @ A_27a )
% 5.55/5.79 & ? [V378e7: $i] :
% 5.55/5.79 ( ( mem @ V378e7 @ A_27a )
% 5.55/5.79 & ? [V379e8: $i] :
% 5.55/5.79 ( ( mem @ V379e8 @ A_27a )
% 5.55/5.79 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V371l_27 ) ) )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V372e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V373e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V374e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V375e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V376e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V377e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V378e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V379e8 ) @ V371l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.79 <=> ? [V380l_27: $i] :
% 5.55/5.79 ( ( mem @ V380l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V381e1: $i] :
% 5.55/5.79 ( ( mem @ V381e1 @ A_27a )
% 5.55/5.79 & ? [V382e2: $i] :
% 5.55/5.79 ( ( mem @ V382e2 @ A_27a )
% 5.55/5.79 & ? [V383e3: $i] :
% 5.55/5.79 ( ( mem @ V383e3 @ A_27a )
% 5.55/5.79 & ? [V384e4: $i] :
% 5.55/5.79 ( ( mem @ V384e4 @ A_27a )
% 5.55/5.79 & ? [V385e5: $i] :
% 5.55/5.79 ( ( mem @ V385e5 @ A_27a )
% 5.55/5.79 & ? [V386e6: $i] :
% 5.55/5.79 ( ( mem @ V386e6 @ A_27a )
% 5.55/5.79 & ? [V387e7: $i] :
% 5.55/5.79 ( ( mem @ V387e7 @ A_27a )
% 5.55/5.79 & ? [V388e8: $i] :
% 5.55/5.79 ( ( mem @ V388e8 @ A_27a )
% 5.55/5.79 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V380l_27 ) )
% 5.55/5.79 = V1x )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V381e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V382e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V383e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V384e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V385e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V386e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V387e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V388e8 ) @ V380l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V389l_27: $i] :
% 5.55/5.79 ( ( mem @ V389l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V390e1: $i] :
% 5.55/5.79 ( ( mem @ V390e1 @ A_27a )
% 5.55/5.79 & ? [V391e2: $i] :
% 5.55/5.79 ( ( mem @ V391e2 @ A_27a )
% 5.55/5.79 & ? [V392e3: $i] :
% 5.55/5.79 ( ( mem @ V392e3 @ A_27a )
% 5.55/5.79 & ? [V393e4: $i] :
% 5.55/5.79 ( ( mem @ V393e4 @ A_27a )
% 5.55/5.79 & ? [V394e5: $i] :
% 5.55/5.79 ( ( mem @ V394e5 @ A_27a )
% 5.55/5.79 & ? [V395e6: $i] :
% 5.55/5.79 ( ( mem @ V395e6 @ A_27a )
% 5.55/5.79 & ? [V396e7: $i] :
% 5.55/5.79 ( ( mem @ V396e7 @ A_27a )
% 5.55/5.79 & ? [V397e8: $i] :
% 5.55/5.79 ( ( mem @ V397e8 @ A_27a )
% 5.55/5.79 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V389l_27 ) )
% 5.55/5.79 = V1x )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V390e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V391e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V392e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V393e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V394e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V395e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V396e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V397e8 ) @ V389l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.79 <=> ? [V398l_27: $i] :
% 5.55/5.79 ( ( mem @ V398l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V399e1: $i] :
% 5.55/5.79 ( ( mem @ V399e1 @ A_27a )
% 5.55/5.79 & ? [V400e2: $i] :
% 5.55/5.79 ( ( mem @ V400e2 @ A_27a )
% 5.55/5.79 & ? [V401e3: $i] :
% 5.55/5.79 ( ( mem @ V401e3 @ A_27a )
% 5.55/5.79 & ? [V402e4: $i] :
% 5.55/5.79 ( ( mem @ V402e4 @ A_27a )
% 5.55/5.79 & ? [V403e5: $i] :
% 5.55/5.79 ( ( mem @ V403e5 @ A_27a )
% 5.55/5.79 & ? [V404e6: $i] :
% 5.55/5.79 ( ( mem @ V404e6 @ A_27a )
% 5.55/5.79 & ? [V405e7: $i] :
% 5.55/5.79 ( ( mem @ V405e7 @ A_27a )
% 5.55/5.79 & ? [V406e8: $i] :
% 5.55/5.79 ( ( mem @ V406e8 @ A_27a )
% 5.55/5.79 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V398l_27 ) )
% 5.55/5.79 = V1x )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V399e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V400e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V401e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V402e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V403e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V404e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V405e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V406e8 ) @ V398l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V407l_27: $i] :
% 5.55/5.79 ( ( mem @ V407l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V408e1: $i] :
% 5.55/5.79 ( ( mem @ V408e1 @ A_27a )
% 5.55/5.79 & ? [V409e2: $i] :
% 5.55/5.79 ( ( mem @ V409e2 @ A_27a )
% 5.55/5.79 & ? [V410e3: $i] :
% 5.55/5.79 ( ( mem @ V410e3 @ A_27a )
% 5.55/5.79 & ? [V411e4: $i] :
% 5.55/5.79 ( ( mem @ V411e4 @ A_27a )
% 5.55/5.79 & ? [V412e5: $i] :
% 5.55/5.79 ( ( mem @ V412e5 @ A_27a )
% 5.55/5.79 & ? [V413e6: $i] :
% 5.55/5.79 ( ( mem @ V413e6 @ A_27a )
% 5.55/5.79 & ? [V414e7: $i] :
% 5.55/5.79 ( ( mem @ V414e7 @ A_27a )
% 5.55/5.79 & ? [V415e8: $i] :
% 5.55/5.79 ( ( mem @ V415e8 @ A_27a )
% 5.55/5.79 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V407l_27 ) )
% 5.55/5.79 = V1x )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V408e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V409e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V410e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V411e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V412e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V413e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V414e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V415e8 ) @ V407l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.79 <=> ? [V416e1: $i] :
% 5.55/5.79 ( ( mem @ V416e1 @ A_27a )
% 5.55/5.79 & ? [V417e2: $i] :
% 5.55/5.79 ( ( mem @ V417e2 @ A_27a )
% 5.55/5.79 & ? [V418e3: $i] :
% 5.55/5.79 ( ( mem @ V418e3 @ A_27a )
% 5.55/5.79 & ? [V419e4: $i] :
% 5.55/5.79 ( ( mem @ V419e4 @ A_27a )
% 5.55/5.79 & ? [V420e5: $i] :
% 5.55/5.79 ( ( mem @ V420e5 @ A_27a )
% 5.55/5.79 & ? [V421e6: $i] :
% 5.55/5.79 ( ( mem @ V421e6 @ A_27a )
% 5.55/5.79 & ? [V422e7: $i] :
% 5.55/5.79 ( ( mem @ V422e7 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V416e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V417e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V418e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V419e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V420e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V421e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V422e7 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V423e1: $i] :
% 5.55/5.79 ( ( mem @ V423e1 @ A_27a )
% 5.55/5.79 & ? [V424e2: $i] :
% 5.55/5.79 ( ( mem @ V424e2 @ A_27a )
% 5.55/5.79 & ? [V425e3: $i] :
% 5.55/5.79 ( ( mem @ V425e3 @ A_27a )
% 5.55/5.79 & ? [V426e4: $i] :
% 5.55/5.79 ( ( mem @ V426e4 @ A_27a )
% 5.55/5.79 & ? [V427e5: $i] :
% 5.55/5.79 ( ( mem @ V427e5 @ A_27a )
% 5.55/5.79 & ? [V428e6: $i] :
% 5.55/5.79 ( ( mem @ V428e6 @ A_27a )
% 5.55/5.79 & ? [V429e7: $i] :
% 5.55/5.79 ( ( mem @ V429e7 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V423e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V424e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V425e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V426e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V427e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V428e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V429e7 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V430l_27: $i] :
% 5.55/5.79 ( ( mem @ V430l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V431e1: $i] :
% 5.55/5.79 ( ( mem @ V431e1 @ A_27a )
% 5.55/5.79 & ? [V432e2: $i] :
% 5.55/5.79 ( ( mem @ V432e2 @ A_27a )
% 5.55/5.79 & ? [V433e3: $i] :
% 5.55/5.79 ( ( mem @ V433e3 @ A_27a )
% 5.55/5.79 & ? [V434e4: $i] :
% 5.55/5.79 ( ( mem @ V434e4 @ A_27a )
% 5.55/5.79 & ? [V435e5: $i] :
% 5.55/5.79 ( ( mem @ V435e5 @ A_27a )
% 5.55/5.79 & ? [V436e6: $i] :
% 5.55/5.79 ( ( mem @ V436e6 @ A_27a )
% 5.55/5.79 & ? [V437e7: $i] :
% 5.55/5.79 ( ( mem @ V437e7 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V431e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V432e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V433e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V434e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V435e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V436e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V437e7 ) @ V430l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.79 <=> ? [V438l_27: $i] :
% 5.55/5.79 ( ( mem @ V438l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V439e1: $i] :
% 5.55/5.79 ( ( mem @ V439e1 @ A_27a )
% 5.55/5.79 & ? [V440e2: $i] :
% 5.55/5.79 ( ( mem @ V440e2 @ A_27a )
% 5.55/5.79 & ? [V441e3: $i] :
% 5.55/5.79 ( ( mem @ V441e3 @ A_27a )
% 5.55/5.79 & ? [V442e4: $i] :
% 5.55/5.79 ( ( mem @ V442e4 @ A_27a )
% 5.55/5.79 & ? [V443e5: $i] :
% 5.55/5.79 ( ( mem @ V443e5 @ A_27a )
% 5.55/5.79 & ? [V444e6: $i] :
% 5.55/5.79 ( ( mem @ V444e6 @ A_27a )
% 5.55/5.79 & ? [V445e7: $i] :
% 5.55/5.79 ( ( mem @ V445e7 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V439e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V440e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V441e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V442e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V443e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V444e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V445e7 ) @ V438l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V446l_27: $i] :
% 5.55/5.79 ( ( mem @ V446l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V447e1: $i] :
% 5.55/5.79 ( ( mem @ V447e1 @ A_27a )
% 5.55/5.79 & ? [V448e2: $i] :
% 5.55/5.79 ( ( mem @ V448e2 @ A_27a )
% 5.55/5.79 & ? [V449e3: $i] :
% 5.55/5.79 ( ( mem @ V449e3 @ A_27a )
% 5.55/5.79 & ? [V450e4: $i] :
% 5.55/5.79 ( ( mem @ V450e4 @ A_27a )
% 5.55/5.79 & ? [V451e5: $i] :
% 5.55/5.79 ( ( mem @ V451e5 @ A_27a )
% 5.55/5.79 & ? [V452e6: $i] :
% 5.55/5.79 ( ( mem @ V452e6 @ A_27a )
% 5.55/5.79 & ? [V453e7: $i] :
% 5.55/5.79 ( ( mem @ V453e7 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V447e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V448e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V449e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V450e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V451e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V452e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V453e7 ) @ V446l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.79 <=> ? [V454l_27: $i] :
% 5.55/5.79 ( ( mem @ V454l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V455e1: $i] :
% 5.55/5.79 ( ( mem @ V455e1 @ A_27a )
% 5.55/5.79 & ? [V456e2: $i] :
% 5.55/5.79 ( ( mem @ V456e2 @ A_27a )
% 5.55/5.79 & ? [V457e3: $i] :
% 5.55/5.79 ( ( mem @ V457e3 @ A_27a )
% 5.55/5.79 & ? [V458e4: $i] :
% 5.55/5.79 ( ( mem @ V458e4 @ A_27a )
% 5.55/5.79 & ? [V459e5: $i] :
% 5.55/5.79 ( ( mem @ V459e5 @ A_27a )
% 5.55/5.79 & ? [V460e6: $i] :
% 5.55/5.79 ( ( mem @ V460e6 @ A_27a )
% 5.55/5.79 & ? [V461e7: $i] :
% 5.55/5.79 ( ( mem @ V461e7 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V455e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V456e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V457e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V458e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V459e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V460e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V461e7 ) @ V454l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V462l_27: $i] :
% 5.55/5.79 ( ( mem @ V462l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V463e1: $i] :
% 5.55/5.79 ( ( mem @ V463e1 @ A_27a )
% 5.55/5.79 & ? [V464e2: $i] :
% 5.55/5.79 ( ( mem @ V464e2 @ A_27a )
% 5.55/5.79 & ? [V465e3: $i] :
% 5.55/5.79 ( ( mem @ V465e3 @ A_27a )
% 5.55/5.79 & ? [V466e4: $i] :
% 5.55/5.79 ( ( mem @ V466e4 @ A_27a )
% 5.55/5.79 & ? [V467e5: $i] :
% 5.55/5.79 ( ( mem @ V467e5 @ A_27a )
% 5.55/5.79 & ? [V468e6: $i] :
% 5.55/5.79 ( ( mem @ V468e6 @ A_27a )
% 5.55/5.79 & ? [V469e7: $i] :
% 5.55/5.79 ( ( mem @ V469e7 @ A_27a )
% 5.55/5.79 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V462l_27 ) ) )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V463e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V464e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V465e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V466e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V467e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V468e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V469e7 ) @ V462l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.79 <=> ? [V470l_27: $i] :
% 5.55/5.79 ( ( mem @ V470l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V471e1: $i] :
% 5.55/5.79 ( ( mem @ V471e1 @ A_27a )
% 5.55/5.79 & ? [V472e2: $i] :
% 5.55/5.79 ( ( mem @ V472e2 @ A_27a )
% 5.55/5.79 & ? [V473e3: $i] :
% 5.55/5.79 ( ( mem @ V473e3 @ A_27a )
% 5.55/5.79 & ? [V474e4: $i] :
% 5.55/5.79 ( ( mem @ V474e4 @ A_27a )
% 5.55/5.79 & ? [V475e5: $i] :
% 5.55/5.79 ( ( mem @ V475e5 @ A_27a )
% 5.55/5.79 & ? [V476e6: $i] :
% 5.55/5.79 ( ( mem @ V476e6 @ A_27a )
% 5.55/5.79 & ? [V477e7: $i] :
% 5.55/5.79 ( ( mem @ V477e7 @ A_27a )
% 5.55/5.79 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V470l_27 ) ) )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V471e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V472e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V473e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V474e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V475e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V476e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V477e7 ) @ V470l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V478l_27: $i] :
% 5.55/5.79 ( ( mem @ V478l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V479e1: $i] :
% 5.55/5.79 ( ( mem @ V479e1 @ A_27a )
% 5.55/5.79 & ? [V480e2: $i] :
% 5.55/5.79 ( ( mem @ V480e2 @ A_27a )
% 5.55/5.79 & ? [V481e3: $i] :
% 5.55/5.79 ( ( mem @ V481e3 @ A_27a )
% 5.55/5.79 & ? [V482e4: $i] :
% 5.55/5.79 ( ( mem @ V482e4 @ A_27a )
% 5.55/5.79 & ? [V483e5: $i] :
% 5.55/5.79 ( ( mem @ V483e5 @ A_27a )
% 5.55/5.79 & ? [V484e6: $i] :
% 5.55/5.79 ( ( mem @ V484e6 @ A_27a )
% 5.55/5.79 & ? [V485e7: $i] :
% 5.55/5.79 ( ( mem @ V485e7 @ A_27a )
% 5.55/5.79 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V478l_27 ) ) )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V479e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V480e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V481e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V482e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V483e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V484e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V485e7 ) @ V478l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.79 <=> ? [V486l_27: $i] :
% 5.55/5.79 ( ( mem @ V486l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V487e1: $i] :
% 5.55/5.79 ( ( mem @ V487e1 @ A_27a )
% 5.55/5.79 & ? [V488e2: $i] :
% 5.55/5.79 ( ( mem @ V488e2 @ A_27a )
% 5.55/5.79 & ? [V489e3: $i] :
% 5.55/5.79 ( ( mem @ V489e3 @ A_27a )
% 5.55/5.79 & ? [V490e4: $i] :
% 5.55/5.79 ( ( mem @ V490e4 @ A_27a )
% 5.55/5.79 & ? [V491e5: $i] :
% 5.55/5.79 ( ( mem @ V491e5 @ A_27a )
% 5.55/5.79 & ? [V492e6: $i] :
% 5.55/5.79 ( ( mem @ V492e6 @ A_27a )
% 5.55/5.79 & ? [V493e7: $i] :
% 5.55/5.79 ( ( mem @ V493e7 @ A_27a )
% 5.55/5.79 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V486l_27 ) ) )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V487e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V488e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V489e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V490e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V491e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V492e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V493e7 ) @ V486l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.79 <=> ? [V494l_27: $i] :
% 5.55/5.79 ( ( mem @ V494l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V495e1: $i] :
% 5.55/5.79 ( ( mem @ V495e1 @ A_27a )
% 5.55/5.79 & ? [V496e2: $i] :
% 5.55/5.79 ( ( mem @ V496e2 @ A_27a )
% 5.55/5.79 & ? [V497e3: $i] :
% 5.55/5.79 ( ( mem @ V497e3 @ A_27a )
% 5.55/5.79 & ? [V498e4: $i] :
% 5.55/5.79 ( ( mem @ V498e4 @ A_27a )
% 5.55/5.79 & ? [V499e5: $i] :
% 5.55/5.79 ( ( mem @ V499e5 @ A_27a )
% 5.55/5.79 & ? [V500e6: $i] :
% 5.55/5.79 ( ( mem @ V500e6 @ A_27a )
% 5.55/5.79 & ? [V501e7: $i] :
% 5.55/5.79 ( ( mem @ V501e7 @ A_27a )
% 5.55/5.79 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V494l_27 ) )
% 5.55/5.79 = V1x )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V495e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V496e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V497e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V498e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V499e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V500e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V501e7 ) @ V494l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V502l_27: $i] :
% 5.55/5.79 ( ( mem @ V502l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V503e1: $i] :
% 5.55/5.79 ( ( mem @ V503e1 @ A_27a )
% 5.55/5.79 & ? [V504e2: $i] :
% 5.55/5.79 ( ( mem @ V504e2 @ A_27a )
% 5.55/5.79 & ? [V505e3: $i] :
% 5.55/5.79 ( ( mem @ V505e3 @ A_27a )
% 5.55/5.79 & ? [V506e4: $i] :
% 5.55/5.79 ( ( mem @ V506e4 @ A_27a )
% 5.55/5.79 & ? [V507e5: $i] :
% 5.55/5.79 ( ( mem @ V507e5 @ A_27a )
% 5.55/5.79 & ? [V508e6: $i] :
% 5.55/5.79 ( ( mem @ V508e6 @ A_27a )
% 5.55/5.79 & ? [V509e7: $i] :
% 5.55/5.79 ( ( mem @ V509e7 @ A_27a )
% 5.55/5.79 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V502l_27 ) )
% 5.55/5.79 = V1x )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V503e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V504e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V505e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V506e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V507e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V508e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V509e7 ) @ V502l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.79 <=> ? [V510l_27: $i] :
% 5.55/5.79 ( ( mem @ V510l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V511e1: $i] :
% 5.55/5.79 ( ( mem @ V511e1 @ A_27a )
% 5.55/5.79 & ? [V512e2: $i] :
% 5.55/5.79 ( ( mem @ V512e2 @ A_27a )
% 5.55/5.79 & ? [V513e3: $i] :
% 5.55/5.79 ( ( mem @ V513e3 @ A_27a )
% 5.55/5.79 & ? [V514e4: $i] :
% 5.55/5.79 ( ( mem @ V514e4 @ A_27a )
% 5.55/5.79 & ? [V515e5: $i] :
% 5.55/5.79 ( ( mem @ V515e5 @ A_27a )
% 5.55/5.79 & ? [V516e6: $i] :
% 5.55/5.79 ( ( mem @ V516e6 @ A_27a )
% 5.55/5.79 & ? [V517e7: $i] :
% 5.55/5.79 ( ( mem @ V517e7 @ A_27a )
% 5.55/5.79 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V510l_27 ) )
% 5.55/5.79 = V1x )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V511e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V512e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V513e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V514e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V515e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V516e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V517e7 ) @ V510l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V518l_27: $i] :
% 5.55/5.79 ( ( mem @ V518l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V519e1: $i] :
% 5.55/5.79 ( ( mem @ V519e1 @ A_27a )
% 5.55/5.79 & ? [V520e2: $i] :
% 5.55/5.79 ( ( mem @ V520e2 @ A_27a )
% 5.55/5.79 & ? [V521e3: $i] :
% 5.55/5.79 ( ( mem @ V521e3 @ A_27a )
% 5.55/5.79 & ? [V522e4: $i] :
% 5.55/5.79 ( ( mem @ V522e4 @ A_27a )
% 5.55/5.79 & ? [V523e5: $i] :
% 5.55/5.79 ( ( mem @ V523e5 @ A_27a )
% 5.55/5.79 & ? [V524e6: $i] :
% 5.55/5.79 ( ( mem @ V524e6 @ A_27a )
% 5.55/5.79 & ? [V525e7: $i] :
% 5.55/5.79 ( ( mem @ V525e7 @ A_27a )
% 5.55/5.79 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V518l_27 ) )
% 5.55/5.79 = V1x )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V519e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V520e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V521e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V522e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V523e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V524e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V525e7 ) @ V518l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.79 <=> ? [V526e1: $i] :
% 5.55/5.79 ( ( mem @ V526e1 @ A_27a )
% 5.55/5.79 & ? [V527e2: $i] :
% 5.55/5.79 ( ( mem @ V527e2 @ A_27a )
% 5.55/5.79 & ? [V528e3: $i] :
% 5.55/5.79 ( ( mem @ V528e3 @ A_27a )
% 5.55/5.79 & ? [V529e4: $i] :
% 5.55/5.79 ( ( mem @ V529e4 @ A_27a )
% 5.55/5.79 & ? [V530e5: $i] :
% 5.55/5.79 ( ( mem @ V530e5 @ A_27a )
% 5.55/5.79 & ? [V531e6: $i] :
% 5.55/5.79 ( ( mem @ V531e6 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V526e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V527e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V528e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V529e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V530e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V531e6 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V532e1: $i] :
% 5.55/5.79 ( ( mem @ V532e1 @ A_27a )
% 5.55/5.79 & ? [V533e2: $i] :
% 5.55/5.79 ( ( mem @ V533e2 @ A_27a )
% 5.55/5.79 & ? [V534e3: $i] :
% 5.55/5.79 ( ( mem @ V534e3 @ A_27a )
% 5.55/5.79 & ? [V535e4: $i] :
% 5.55/5.79 ( ( mem @ V535e4 @ A_27a )
% 5.55/5.79 & ? [V536e5: $i] :
% 5.55/5.79 ( ( mem @ V536e5 @ A_27a )
% 5.55/5.79 & ? [V537e6: $i] :
% 5.55/5.79 ( ( mem @ V537e6 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V532e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V533e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V534e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V535e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V536e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V537e6 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V538l_27: $i] :
% 5.55/5.79 ( ( mem @ V538l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V539e1: $i] :
% 5.55/5.79 ( ( mem @ V539e1 @ A_27a )
% 5.55/5.79 & ? [V540e2: $i] :
% 5.55/5.79 ( ( mem @ V540e2 @ A_27a )
% 5.55/5.79 & ? [V541e3: $i] :
% 5.55/5.79 ( ( mem @ V541e3 @ A_27a )
% 5.55/5.79 & ? [V542e4: $i] :
% 5.55/5.79 ( ( mem @ V542e4 @ A_27a )
% 5.55/5.79 & ? [V543e5: $i] :
% 5.55/5.79 ( ( mem @ V543e5 @ A_27a )
% 5.55/5.79 & ? [V544e6: $i] :
% 5.55/5.79 ( ( mem @ V544e6 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V539e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V540e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V541e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V542e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V543e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V544e6 ) @ V538l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.79 <=> ? [V545l_27: $i] :
% 5.55/5.79 ( ( mem @ V545l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V546e1: $i] :
% 5.55/5.79 ( ( mem @ V546e1 @ A_27a )
% 5.55/5.79 & ? [V547e2: $i] :
% 5.55/5.79 ( ( mem @ V547e2 @ A_27a )
% 5.55/5.79 & ? [V548e3: $i] :
% 5.55/5.79 ( ( mem @ V548e3 @ A_27a )
% 5.55/5.79 & ? [V549e4: $i] :
% 5.55/5.79 ( ( mem @ V549e4 @ A_27a )
% 5.55/5.79 & ? [V550e5: $i] :
% 5.55/5.79 ( ( mem @ V550e5 @ A_27a )
% 5.55/5.79 & ? [V551e6: $i] :
% 5.55/5.79 ( ( mem @ V551e6 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V546e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V547e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V548e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V549e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V550e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V551e6 ) @ V545l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V552l_27: $i] :
% 5.55/5.79 ( ( mem @ V552l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V553e1: $i] :
% 5.55/5.79 ( ( mem @ V553e1 @ A_27a )
% 5.55/5.79 & ? [V554e2: $i] :
% 5.55/5.79 ( ( mem @ V554e2 @ A_27a )
% 5.55/5.79 & ? [V555e3: $i] :
% 5.55/5.79 ( ( mem @ V555e3 @ A_27a )
% 5.55/5.79 & ? [V556e4: $i] :
% 5.55/5.79 ( ( mem @ V556e4 @ A_27a )
% 5.55/5.79 & ? [V557e5: $i] :
% 5.55/5.79 ( ( mem @ V557e5 @ A_27a )
% 5.55/5.79 & ? [V558e6: $i] :
% 5.55/5.79 ( ( mem @ V558e6 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V553e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V554e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V555e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V556e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V557e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V558e6 ) @ V552l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.79 <=> ? [V559l_27: $i] :
% 5.55/5.79 ( ( mem @ V559l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V560e1: $i] :
% 5.55/5.79 ( ( mem @ V560e1 @ A_27a )
% 5.55/5.79 & ? [V561e2: $i] :
% 5.55/5.79 ( ( mem @ V561e2 @ A_27a )
% 5.55/5.79 & ? [V562e3: $i] :
% 5.55/5.79 ( ( mem @ V562e3 @ A_27a )
% 5.55/5.79 & ? [V563e4: $i] :
% 5.55/5.79 ( ( mem @ V563e4 @ A_27a )
% 5.55/5.79 & ? [V564e5: $i] :
% 5.55/5.79 ( ( mem @ V564e5 @ A_27a )
% 5.55/5.79 & ? [V565e6: $i] :
% 5.55/5.79 ( ( mem @ V565e6 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V560e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V561e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V562e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V563e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V564e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V565e6 ) @ V559l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V566l_27: $i] :
% 5.55/5.79 ( ( mem @ V566l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V567e1: $i] :
% 5.55/5.79 ( ( mem @ V567e1 @ A_27a )
% 5.55/5.79 & ? [V568e2: $i] :
% 5.55/5.79 ( ( mem @ V568e2 @ A_27a )
% 5.55/5.79 & ? [V569e3: $i] :
% 5.55/5.79 ( ( mem @ V569e3 @ A_27a )
% 5.55/5.79 & ? [V570e4: $i] :
% 5.55/5.79 ( ( mem @ V570e4 @ A_27a )
% 5.55/5.79 & ? [V571e5: $i] :
% 5.55/5.79 ( ( mem @ V571e5 @ A_27a )
% 5.55/5.79 & ? [V572e6: $i] :
% 5.55/5.79 ( ( mem @ V572e6 @ A_27a )
% 5.55/5.79 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V566l_27 ) ) )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V567e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V568e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V569e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V570e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V571e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V572e6 ) @ V566l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.79 <=> ? [V573l_27: $i] :
% 5.55/5.79 ( ( mem @ V573l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V574e1: $i] :
% 5.55/5.79 ( ( mem @ V574e1 @ A_27a )
% 5.55/5.79 & ? [V575e2: $i] :
% 5.55/5.79 ( ( mem @ V575e2 @ A_27a )
% 5.55/5.79 & ? [V576e3: $i] :
% 5.55/5.79 ( ( mem @ V576e3 @ A_27a )
% 5.55/5.79 & ? [V577e4: $i] :
% 5.55/5.79 ( ( mem @ V577e4 @ A_27a )
% 5.55/5.79 & ? [V578e5: $i] :
% 5.55/5.79 ( ( mem @ V578e5 @ A_27a )
% 5.55/5.79 & ? [V579e6: $i] :
% 5.55/5.79 ( ( mem @ V579e6 @ A_27a )
% 5.55/5.79 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V573l_27 ) ) )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V574e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V575e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V576e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V577e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V578e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V579e6 ) @ V573l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V580l_27: $i] :
% 5.55/5.79 ( ( mem @ V580l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V581e1: $i] :
% 5.55/5.79 ( ( mem @ V581e1 @ A_27a )
% 5.55/5.79 & ? [V582e2: $i] :
% 5.55/5.79 ( ( mem @ V582e2 @ A_27a )
% 5.55/5.79 & ? [V583e3: $i] :
% 5.55/5.79 ( ( mem @ V583e3 @ A_27a )
% 5.55/5.79 & ? [V584e4: $i] :
% 5.55/5.79 ( ( mem @ V584e4 @ A_27a )
% 5.55/5.79 & ? [V585e5: $i] :
% 5.55/5.79 ( ( mem @ V585e5 @ A_27a )
% 5.55/5.79 & ? [V586e6: $i] :
% 5.55/5.79 ( ( mem @ V586e6 @ A_27a )
% 5.55/5.79 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V580l_27 ) ) )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V581e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V582e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V583e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V584e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V585e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V586e6 ) @ V580l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.79 <=> ? [V587l_27: $i] :
% 5.55/5.79 ( ( mem @ V587l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V588e1: $i] :
% 5.55/5.79 ( ( mem @ V588e1 @ A_27a )
% 5.55/5.79 & ? [V589e2: $i] :
% 5.55/5.79 ( ( mem @ V589e2 @ A_27a )
% 5.55/5.79 & ? [V590e3: $i] :
% 5.55/5.79 ( ( mem @ V590e3 @ A_27a )
% 5.55/5.79 & ? [V591e4: $i] :
% 5.55/5.79 ( ( mem @ V591e4 @ A_27a )
% 5.55/5.79 & ? [V592e5: $i] :
% 5.55/5.79 ( ( mem @ V592e5 @ A_27a )
% 5.55/5.79 & ? [V593e6: $i] :
% 5.55/5.79 ( ( mem @ V593e6 @ A_27a )
% 5.55/5.79 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V587l_27 ) ) )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V588e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V589e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V590e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V591e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V592e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V593e6 ) @ V587l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.79 <=> ? [V594l_27: $i] :
% 5.55/5.79 ( ( mem @ V594l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V595e1: $i] :
% 5.55/5.79 ( ( mem @ V595e1 @ A_27a )
% 5.55/5.79 & ? [V596e2: $i] :
% 5.55/5.79 ( ( mem @ V596e2 @ A_27a )
% 5.55/5.79 & ? [V597e3: $i] :
% 5.55/5.79 ( ( mem @ V597e3 @ A_27a )
% 5.55/5.79 & ? [V598e4: $i] :
% 5.55/5.79 ( ( mem @ V598e4 @ A_27a )
% 5.55/5.79 & ? [V599e5: $i] :
% 5.55/5.79 ( ( mem @ V599e5 @ A_27a )
% 5.55/5.79 & ? [V600e6: $i] :
% 5.55/5.79 ( ( mem @ V600e6 @ A_27a )
% 5.55/5.79 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V594l_27 ) )
% 5.55/5.79 = V1x )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V595e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V596e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V597e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V598e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V599e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V600e6 ) @ V594l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V601l_27: $i] :
% 5.55/5.79 ( ( mem @ V601l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V602e1: $i] :
% 5.55/5.79 ( ( mem @ V602e1 @ A_27a )
% 5.55/5.79 & ? [V603e2: $i] :
% 5.55/5.79 ( ( mem @ V603e2 @ A_27a )
% 5.55/5.79 & ? [V604e3: $i] :
% 5.55/5.79 ( ( mem @ V604e3 @ A_27a )
% 5.55/5.79 & ? [V605e4: $i] :
% 5.55/5.79 ( ( mem @ V605e4 @ A_27a )
% 5.55/5.79 & ? [V606e5: $i] :
% 5.55/5.79 ( ( mem @ V606e5 @ A_27a )
% 5.55/5.79 & ? [V607e6: $i] :
% 5.55/5.79 ( ( mem @ V607e6 @ A_27a )
% 5.55/5.79 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V601l_27 ) )
% 5.55/5.79 = V1x )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V602e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V603e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V604e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V605e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V606e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V607e6 ) @ V601l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.79 <=> ? [V608l_27: $i] :
% 5.55/5.79 ( ( mem @ V608l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V609e1: $i] :
% 5.55/5.79 ( ( mem @ V609e1 @ A_27a )
% 5.55/5.79 & ? [V610e2: $i] :
% 5.55/5.79 ( ( mem @ V610e2 @ A_27a )
% 5.55/5.79 & ? [V611e3: $i] :
% 5.55/5.79 ( ( mem @ V611e3 @ A_27a )
% 5.55/5.79 & ? [V612e4: $i] :
% 5.55/5.79 ( ( mem @ V612e4 @ A_27a )
% 5.55/5.79 & ? [V613e5: $i] :
% 5.55/5.79 ( ( mem @ V613e5 @ A_27a )
% 5.55/5.79 & ? [V614e6: $i] :
% 5.55/5.79 ( ( mem @ V614e6 @ A_27a )
% 5.55/5.79 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V608l_27 ) )
% 5.55/5.79 = V1x )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V609e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V610e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V611e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V612e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V613e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V614e6 ) @ V608l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V615l_27: $i] :
% 5.55/5.79 ( ( mem @ V615l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V616e1: $i] :
% 5.55/5.79 ( ( mem @ V616e1 @ A_27a )
% 5.55/5.79 & ? [V617e2: $i] :
% 5.55/5.79 ( ( mem @ V617e2 @ A_27a )
% 5.55/5.79 & ? [V618e3: $i] :
% 5.55/5.79 ( ( mem @ V618e3 @ A_27a )
% 5.55/5.79 & ? [V619e4: $i] :
% 5.55/5.79 ( ( mem @ V619e4 @ A_27a )
% 5.55/5.79 & ? [V620e5: $i] :
% 5.55/5.79 ( ( mem @ V620e5 @ A_27a )
% 5.55/5.79 & ? [V621e6: $i] :
% 5.55/5.79 ( ( mem @ V621e6 @ A_27a )
% 5.55/5.79 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V615l_27 ) )
% 5.55/5.79 = V1x )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V616e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V617e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V618e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V619e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V620e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V621e6 ) @ V615l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.79 <=> ? [V622e1: $i] :
% 5.55/5.79 ( ( mem @ V622e1 @ A_27a )
% 5.55/5.79 & ? [V623e2: $i] :
% 5.55/5.79 ( ( mem @ V623e2 @ A_27a )
% 5.55/5.79 & ? [V624e3: $i] :
% 5.55/5.79 ( ( mem @ V624e3 @ A_27a )
% 5.55/5.79 & ? [V625e4: $i] :
% 5.55/5.79 ( ( mem @ V625e4 @ A_27a )
% 5.55/5.79 & ? [V626e5: $i] :
% 5.55/5.79 ( ( mem @ V626e5 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V622e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V623e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V624e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V625e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V626e5 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V627e1: $i] :
% 5.55/5.79 ( ( mem @ V627e1 @ A_27a )
% 5.55/5.79 & ? [V628e2: $i] :
% 5.55/5.79 ( ( mem @ V628e2 @ A_27a )
% 5.55/5.79 & ? [V629e3: $i] :
% 5.55/5.79 ( ( mem @ V629e3 @ A_27a )
% 5.55/5.79 & ? [V630e4: $i] :
% 5.55/5.79 ( ( mem @ V630e4 @ A_27a )
% 5.55/5.79 & ? [V631e5: $i] :
% 5.55/5.79 ( ( mem @ V631e5 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V627e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V628e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V629e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V630e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V631e5 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V632l_27: $i] :
% 5.55/5.79 ( ( mem @ V632l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V633e1: $i] :
% 5.55/5.79 ( ( mem @ V633e1 @ A_27a )
% 5.55/5.79 & ? [V634e2: $i] :
% 5.55/5.79 ( ( mem @ V634e2 @ A_27a )
% 5.55/5.79 & ? [V635e3: $i] :
% 5.55/5.79 ( ( mem @ V635e3 @ A_27a )
% 5.55/5.79 & ? [V636e4: $i] :
% 5.55/5.79 ( ( mem @ V636e4 @ A_27a )
% 5.55/5.79 & ? [V637e5: $i] :
% 5.55/5.79 ( ( mem @ V637e5 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V633e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V634e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V635e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V636e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V637e5 ) @ V632l_27 ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.79 <=> ? [V638l_27: $i] :
% 5.55/5.79 ( ( mem @ V638l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V639e1: $i] :
% 5.55/5.79 ( ( mem @ V639e1 @ A_27a )
% 5.55/5.79 & ? [V640e2: $i] :
% 5.55/5.79 ( ( mem @ V640e2 @ A_27a )
% 5.55/5.79 & ? [V641e3: $i] :
% 5.55/5.79 ( ( mem @ V641e3 @ A_27a )
% 5.55/5.79 & ? [V642e4: $i] :
% 5.55/5.79 ( ( mem @ V642e4 @ A_27a )
% 5.55/5.79 & ? [V643e5: $i] :
% 5.55/5.79 ( ( mem @ V643e5 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V639e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V640e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V641e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V642e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V643e5 ) @ V638l_27 ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V644l_27: $i] :
% 5.55/5.79 ( ( mem @ V644l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V645e1: $i] :
% 5.55/5.79 ( ( mem @ V645e1 @ A_27a )
% 5.55/5.79 & ? [V646e2: $i] :
% 5.55/5.79 ( ( mem @ V646e2 @ A_27a )
% 5.55/5.79 & ? [V647e3: $i] :
% 5.55/5.79 ( ( mem @ V647e3 @ A_27a )
% 5.55/5.79 & ? [V648e4: $i] :
% 5.55/5.79 ( ( mem @ V648e4 @ A_27a )
% 5.55/5.79 & ? [V649e5: $i] :
% 5.55/5.79 ( ( mem @ V649e5 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V645e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V646e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V647e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V648e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V649e5 ) @ V644l_27 ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.79 <=> ? [V650l_27: $i] :
% 5.55/5.79 ( ( mem @ V650l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V651e1: $i] :
% 5.55/5.79 ( ( mem @ V651e1 @ A_27a )
% 5.55/5.79 & ? [V652e2: $i] :
% 5.55/5.79 ( ( mem @ V652e2 @ A_27a )
% 5.55/5.79 & ? [V653e3: $i] :
% 5.55/5.79 ( ( mem @ V653e3 @ A_27a )
% 5.55/5.79 & ? [V654e4: $i] :
% 5.55/5.79 ( ( mem @ V654e4 @ A_27a )
% 5.55/5.79 & ? [V655e5: $i] :
% 5.55/5.79 ( ( mem @ V655e5 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V651e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V652e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V653e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V654e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V655e5 ) @ V650l_27 ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V656l_27: $i] :
% 5.55/5.79 ( ( mem @ V656l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V657e1: $i] :
% 5.55/5.79 ( ( mem @ V657e1 @ A_27a )
% 5.55/5.79 & ? [V658e2: $i] :
% 5.55/5.79 ( ( mem @ V658e2 @ A_27a )
% 5.55/5.79 & ? [V659e3: $i] :
% 5.55/5.79 ( ( mem @ V659e3 @ A_27a )
% 5.55/5.79 & ? [V660e4: $i] :
% 5.55/5.79 ( ( mem @ V660e4 @ A_27a )
% 5.55/5.79 & ? [V661e5: $i] :
% 5.55/5.79 ( ( mem @ V661e5 @ A_27a )
% 5.55/5.79 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V656l_27 ) ) )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V657e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V658e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V659e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V660e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V661e5 ) @ V656l_27 ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.79 <=> ? [V662l_27: $i] :
% 5.55/5.79 ( ( mem @ V662l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V663e1: $i] :
% 5.55/5.79 ( ( mem @ V663e1 @ A_27a )
% 5.55/5.79 & ? [V664e2: $i] :
% 5.55/5.79 ( ( mem @ V664e2 @ A_27a )
% 5.55/5.79 & ? [V665e3: $i] :
% 5.55/5.79 ( ( mem @ V665e3 @ A_27a )
% 5.55/5.79 & ? [V666e4: $i] :
% 5.55/5.79 ( ( mem @ V666e4 @ A_27a )
% 5.55/5.79 & ? [V667e5: $i] :
% 5.55/5.79 ( ( mem @ V667e5 @ A_27a )
% 5.55/5.79 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V662l_27 ) ) )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V663e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V664e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V665e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V666e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V667e5 ) @ V662l_27 ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V668l_27: $i] :
% 5.55/5.79 ( ( mem @ V668l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V669e1: $i] :
% 5.55/5.79 ( ( mem @ V669e1 @ A_27a )
% 5.55/5.79 & ? [V670e2: $i] :
% 5.55/5.79 ( ( mem @ V670e2 @ A_27a )
% 5.55/5.79 & ? [V671e3: $i] :
% 5.55/5.79 ( ( mem @ V671e3 @ A_27a )
% 5.55/5.79 & ? [V672e4: $i] :
% 5.55/5.79 ( ( mem @ V672e4 @ A_27a )
% 5.55/5.79 & ? [V673e5: $i] :
% 5.55/5.79 ( ( mem @ V673e5 @ A_27a )
% 5.55/5.79 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V668l_27 ) ) )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V669e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V670e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V671e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V672e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V673e5 ) @ V668l_27 ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.79 <=> ? [V674l_27: $i] :
% 5.55/5.79 ( ( mem @ V674l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V675e1: $i] :
% 5.55/5.79 ( ( mem @ V675e1 @ A_27a )
% 5.55/5.79 & ? [V676e2: $i] :
% 5.55/5.79 ( ( mem @ V676e2 @ A_27a )
% 5.55/5.79 & ? [V677e3: $i] :
% 5.55/5.79 ( ( mem @ V677e3 @ A_27a )
% 5.55/5.79 & ? [V678e4: $i] :
% 5.55/5.79 ( ( mem @ V678e4 @ A_27a )
% 5.55/5.79 & ? [V679e5: $i] :
% 5.55/5.79 ( ( mem @ V679e5 @ A_27a )
% 5.55/5.79 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V674l_27 ) ) )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V675e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V676e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V677e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V678e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V679e5 ) @ V674l_27 ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.79 <=> ? [V680l_27: $i] :
% 5.55/5.79 ( ( mem @ V680l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V681e1: $i] :
% 5.55/5.79 ( ( mem @ V681e1 @ A_27a )
% 5.55/5.79 & ? [V682e2: $i] :
% 5.55/5.79 ( ( mem @ V682e2 @ A_27a )
% 5.55/5.79 & ? [V683e3: $i] :
% 5.55/5.79 ( ( mem @ V683e3 @ A_27a )
% 5.55/5.79 & ? [V684e4: $i] :
% 5.55/5.79 ( ( mem @ V684e4 @ A_27a )
% 5.55/5.79 & ? [V685e5: $i] :
% 5.55/5.79 ( ( mem @ V685e5 @ A_27a )
% 5.55/5.79 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V680l_27 ) )
% 5.55/5.79 = V1x )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V681e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V682e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V683e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V684e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V685e5 ) @ V680l_27 ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V686l_27: $i] :
% 5.55/5.79 ( ( mem @ V686l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V687e1: $i] :
% 5.55/5.79 ( ( mem @ V687e1 @ A_27a )
% 5.55/5.79 & ? [V688e2: $i] :
% 5.55/5.79 ( ( mem @ V688e2 @ A_27a )
% 5.55/5.79 & ? [V689e3: $i] :
% 5.55/5.79 ( ( mem @ V689e3 @ A_27a )
% 5.55/5.79 & ? [V690e4: $i] :
% 5.55/5.79 ( ( mem @ V690e4 @ A_27a )
% 5.55/5.79 & ? [V691e5: $i] :
% 5.55/5.79 ( ( mem @ V691e5 @ A_27a )
% 5.55/5.79 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V686l_27 ) )
% 5.55/5.79 = V1x )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V687e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V688e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V689e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V690e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V691e5 ) @ V686l_27 ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.79 <=> ? [V692l_27: $i] :
% 5.55/5.79 ( ( mem @ V692l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V693e1: $i] :
% 5.55/5.79 ( ( mem @ V693e1 @ A_27a )
% 5.55/5.79 & ? [V694e2: $i] :
% 5.55/5.79 ( ( mem @ V694e2 @ A_27a )
% 5.55/5.79 & ? [V695e3: $i] :
% 5.55/5.79 ( ( mem @ V695e3 @ A_27a )
% 5.55/5.79 & ? [V696e4: $i] :
% 5.55/5.79 ( ( mem @ V696e4 @ A_27a )
% 5.55/5.79 & ? [V697e5: $i] :
% 5.55/5.79 ( ( mem @ V697e5 @ A_27a )
% 5.55/5.79 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V692l_27 ) )
% 5.55/5.79 = V1x )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V693e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V694e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V695e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V696e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V697e5 ) @ V692l_27 ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V698l_27: $i] :
% 5.55/5.79 ( ( mem @ V698l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V699e1: $i] :
% 5.55/5.79 ( ( mem @ V699e1 @ A_27a )
% 5.55/5.79 & ? [V700e2: $i] :
% 5.55/5.79 ( ( mem @ V700e2 @ A_27a )
% 5.55/5.79 & ? [V701e3: $i] :
% 5.55/5.79 ( ( mem @ V701e3 @ A_27a )
% 5.55/5.79 & ? [V702e4: $i] :
% 5.55/5.79 ( ( mem @ V702e4 @ A_27a )
% 5.55/5.79 & ? [V703e5: $i] :
% 5.55/5.79 ( ( mem @ V703e5 @ A_27a )
% 5.55/5.79 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V698l_27 ) )
% 5.55/5.79 = V1x )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V699e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V700e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V701e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V702e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V703e5 ) @ V698l_27 ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.79 <=> ? [V704e1: $i] :
% 5.55/5.79 ( ( mem @ V704e1 @ A_27a )
% 5.55/5.79 & ? [V705e2: $i] :
% 5.55/5.79 ( ( mem @ V705e2 @ A_27a )
% 5.55/5.79 & ? [V706e3: $i] :
% 5.55/5.79 ( ( mem @ V706e3 @ A_27a )
% 5.55/5.79 & ? [V707e4: $i] :
% 5.55/5.79 ( ( mem @ V707e4 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V704e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V705e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V706e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V707e4 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V708e1: $i] :
% 5.55/5.79 ( ( mem @ V708e1 @ A_27a )
% 5.55/5.79 & ? [V709e2: $i] :
% 5.55/5.79 ( ( mem @ V709e2 @ A_27a )
% 5.55/5.79 & ? [V710e3: $i] :
% 5.55/5.79 ( ( mem @ V710e3 @ A_27a )
% 5.55/5.79 & ? [V711e4: $i] :
% 5.55/5.79 ( ( mem @ V711e4 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V708e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V709e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V710e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V711e4 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V712l_27: $i] :
% 5.55/5.79 ( ( mem @ V712l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V713e1: $i] :
% 5.55/5.79 ( ( mem @ V713e1 @ A_27a )
% 5.55/5.79 & ? [V714e2: $i] :
% 5.55/5.79 ( ( mem @ V714e2 @ A_27a )
% 5.55/5.79 & ? [V715e3: $i] :
% 5.55/5.79 ( ( mem @ V715e3 @ A_27a )
% 5.55/5.79 & ? [V716e4: $i] :
% 5.55/5.79 ( ( mem @ V716e4 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V713e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V714e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V715e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V716e4 ) @ V712l_27 ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.79 <=> ? [V717l_27: $i] :
% 5.55/5.79 ( ( mem @ V717l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V718e1: $i] :
% 5.55/5.79 ( ( mem @ V718e1 @ A_27a )
% 5.55/5.79 & ? [V719e2: $i] :
% 5.55/5.79 ( ( mem @ V719e2 @ A_27a )
% 5.55/5.79 & ? [V720e3: $i] :
% 5.55/5.79 ( ( mem @ V720e3 @ A_27a )
% 5.55/5.79 & ? [V721e4: $i] :
% 5.55/5.79 ( ( mem @ V721e4 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V718e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V719e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V720e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V721e4 ) @ V717l_27 ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V722l_27: $i] :
% 5.55/5.79 ( ( mem @ V722l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V723e1: $i] :
% 5.55/5.79 ( ( mem @ V723e1 @ A_27a )
% 5.55/5.79 & ? [V724e2: $i] :
% 5.55/5.79 ( ( mem @ V724e2 @ A_27a )
% 5.55/5.79 & ? [V725e3: $i] :
% 5.55/5.79 ( ( mem @ V725e3 @ A_27a )
% 5.55/5.79 & ? [V726e4: $i] :
% 5.55/5.79 ( ( mem @ V726e4 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V723e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V724e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V725e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V726e4 ) @ V722l_27 ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.79 <=> ? [V727l_27: $i] :
% 5.55/5.79 ( ( mem @ V727l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V728e1: $i] :
% 5.55/5.79 ( ( mem @ V728e1 @ A_27a )
% 5.55/5.79 & ? [V729e2: $i] :
% 5.55/5.79 ( ( mem @ V729e2 @ A_27a )
% 5.55/5.79 & ? [V730e3: $i] :
% 5.55/5.79 ( ( mem @ V730e3 @ A_27a )
% 5.55/5.79 & ? [V731e4: $i] :
% 5.55/5.79 ( ( mem @ V731e4 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V728e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V729e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V730e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V731e4 ) @ V727l_27 ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V732l_27: $i] :
% 5.55/5.79 ( ( mem @ V732l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V733e1: $i] :
% 5.55/5.79 ( ( mem @ V733e1 @ A_27a )
% 5.55/5.79 & ? [V734e2: $i] :
% 5.55/5.79 ( ( mem @ V734e2 @ A_27a )
% 5.55/5.79 & ? [V735e3: $i] :
% 5.55/5.79 ( ( mem @ V735e3 @ A_27a )
% 5.55/5.79 & ? [V736e4: $i] :
% 5.55/5.79 ( ( mem @ V736e4 @ A_27a )
% 5.55/5.79 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V732l_27 ) ) )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V733e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V734e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V735e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V736e4 ) @ V732l_27 ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.79 <=> ? [V737l_27: $i] :
% 5.55/5.79 ( ( mem @ V737l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V738e1: $i] :
% 5.55/5.79 ( ( mem @ V738e1 @ A_27a )
% 5.55/5.79 & ? [V739e2: $i] :
% 5.55/5.79 ( ( mem @ V739e2 @ A_27a )
% 5.55/5.79 & ? [V740e3: $i] :
% 5.55/5.79 ( ( mem @ V740e3 @ A_27a )
% 5.55/5.79 & ? [V741e4: $i] :
% 5.55/5.79 ( ( mem @ V741e4 @ A_27a )
% 5.55/5.79 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V737l_27 ) ) )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V738e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V739e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V740e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V741e4 ) @ V737l_27 ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V742l_27: $i] :
% 5.55/5.79 ( ( mem @ V742l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V743e1: $i] :
% 5.55/5.79 ( ( mem @ V743e1 @ A_27a )
% 5.55/5.79 & ? [V744e2: $i] :
% 5.55/5.79 ( ( mem @ V744e2 @ A_27a )
% 5.55/5.79 & ? [V745e3: $i] :
% 5.55/5.79 ( ( mem @ V745e3 @ A_27a )
% 5.55/5.79 & ? [V746e4: $i] :
% 5.55/5.79 ( ( mem @ V746e4 @ A_27a )
% 5.55/5.79 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V742l_27 ) ) )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V743e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V744e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V745e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V746e4 ) @ V742l_27 ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.79 <=> ? [V747l_27: $i] :
% 5.55/5.79 ( ( mem @ V747l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V748e1: $i] :
% 5.55/5.79 ( ( mem @ V748e1 @ A_27a )
% 5.55/5.79 & ? [V749e2: $i] :
% 5.55/5.79 ( ( mem @ V749e2 @ A_27a )
% 5.55/5.79 & ? [V750e3: $i] :
% 5.55/5.79 ( ( mem @ V750e3 @ A_27a )
% 5.55/5.79 & ? [V751e4: $i] :
% 5.55/5.79 ( ( mem @ V751e4 @ A_27a )
% 5.55/5.79 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V747l_27 ) ) )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V748e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V749e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V750e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V751e4 ) @ V747l_27 ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.79 <=> ? [V752l_27: $i] :
% 5.55/5.79 ( ( mem @ V752l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V753e1: $i] :
% 5.55/5.79 ( ( mem @ V753e1 @ A_27a )
% 5.55/5.79 & ? [V754e2: $i] :
% 5.55/5.79 ( ( mem @ V754e2 @ A_27a )
% 5.55/5.79 & ? [V755e3: $i] :
% 5.55/5.79 ( ( mem @ V755e3 @ A_27a )
% 5.55/5.79 & ? [V756e4: $i] :
% 5.55/5.79 ( ( mem @ V756e4 @ A_27a )
% 5.55/5.79 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V752l_27 ) )
% 5.55/5.79 = V1x )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V753e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V754e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V755e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V756e4 ) @ V752l_27 ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V757l_27: $i] :
% 5.55/5.79 ( ( mem @ V757l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V758e1: $i] :
% 5.55/5.79 ( ( mem @ V758e1 @ A_27a )
% 5.55/5.79 & ? [V759e2: $i] :
% 5.55/5.79 ( ( mem @ V759e2 @ A_27a )
% 5.55/5.79 & ? [V760e3: $i] :
% 5.55/5.79 ( ( mem @ V760e3 @ A_27a )
% 5.55/5.79 & ? [V761e4: $i] :
% 5.55/5.79 ( ( mem @ V761e4 @ A_27a )
% 5.55/5.79 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V757l_27 ) )
% 5.55/5.79 = V1x )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V758e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V759e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V760e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V761e4 ) @ V757l_27 ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.79 <=> ? [V762l_27: $i] :
% 5.55/5.79 ( ( mem @ V762l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V763e1: $i] :
% 5.55/5.79 ( ( mem @ V763e1 @ A_27a )
% 5.55/5.79 & ? [V764e2: $i] :
% 5.55/5.79 ( ( mem @ V764e2 @ A_27a )
% 5.55/5.79 & ? [V765e3: $i] :
% 5.55/5.79 ( ( mem @ V765e3 @ A_27a )
% 5.55/5.79 & ? [V766e4: $i] :
% 5.55/5.79 ( ( mem @ V766e4 @ A_27a )
% 5.55/5.79 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V762l_27 ) )
% 5.55/5.79 = V1x )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V763e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V764e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V765e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V766e4 ) @ V762l_27 ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V767l_27: $i] :
% 5.55/5.79 ( ( mem @ V767l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V768e1: $i] :
% 5.55/5.79 ( ( mem @ V768e1 @ A_27a )
% 5.55/5.79 & ? [V769e2: $i] :
% 5.55/5.79 ( ( mem @ V769e2 @ A_27a )
% 5.55/5.79 & ? [V770e3: $i] :
% 5.55/5.79 ( ( mem @ V770e3 @ A_27a )
% 5.55/5.79 & ? [V771e4: $i] :
% 5.55/5.79 ( ( mem @ V771e4 @ A_27a )
% 5.55/5.79 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V767l_27 ) )
% 5.55/5.79 = V1x )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V768e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V769e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V770e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V771e4 ) @ V767l_27 ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.79 <=> ? [V772e1: $i] :
% 5.55/5.79 ( ( mem @ V772e1 @ A_27a )
% 5.55/5.79 & ? [V773e2: $i] :
% 5.55/5.79 ( ( mem @ V773e2 @ A_27a )
% 5.55/5.79 & ? [V774e3: $i] :
% 5.55/5.79 ( ( mem @ V774e3 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V772e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V773e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V774e3 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.79 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V775e1: $i] :
% 5.55/5.79 ( ( mem @ V775e1 @ A_27a )
% 5.55/5.79 & ? [V776e2: $i] :
% 5.55/5.79 ( ( mem @ V776e2 @ A_27a )
% 5.55/5.79 & ? [V777e3: $i] :
% 5.55/5.79 ( ( mem @ V777e3 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V775e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V776e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V777e3 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V778l_27: $i] :
% 5.55/5.79 ( ( mem @ V778l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V779e1: $i] :
% 5.55/5.79 ( ( mem @ V779e1 @ A_27a )
% 5.55/5.79 & ? [V780e2: $i] :
% 5.55/5.79 ( ( mem @ V780e2 @ A_27a )
% 5.55/5.79 & ? [V781e3: $i] :
% 5.55/5.79 ( ( mem @ V781e3 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V779e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V780e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V781e3 ) @ V778l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.79 <=> ? [V782l_27: $i] :
% 5.55/5.79 ( ( mem @ V782l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V783e1: $i] :
% 5.55/5.79 ( ( mem @ V783e1 @ A_27a )
% 5.55/5.79 & ? [V784e2: $i] :
% 5.55/5.79 ( ( mem @ V784e2 @ A_27a )
% 5.55/5.79 & ? [V785e3: $i] :
% 5.55/5.79 ( ( mem @ V785e3 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V783e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V784e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V785e3 ) @ V782l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V786l_27: $i] :
% 5.55/5.79 ( ( mem @ V786l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V787e1: $i] :
% 5.55/5.79 ( ( mem @ V787e1 @ A_27a )
% 5.55/5.79 & ? [V788e2: $i] :
% 5.55/5.79 ( ( mem @ V788e2 @ A_27a )
% 5.55/5.79 & ? [V789e3: $i] :
% 5.55/5.79 ( ( mem @ V789e3 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V787e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V788e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V789e3 ) @ V786l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.79 <=> ? [V790l_27: $i] :
% 5.55/5.79 ( ( mem @ V790l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V791e1: $i] :
% 5.55/5.79 ( ( mem @ V791e1 @ A_27a )
% 5.55/5.79 & ? [V792e2: $i] :
% 5.55/5.79 ( ( mem @ V792e2 @ A_27a )
% 5.55/5.79 & ? [V793e3: $i] :
% 5.55/5.79 ( ( mem @ V793e3 @ A_27a )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V791e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V792e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V793e3 ) @ V790l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V794l_27: $i] :
% 5.55/5.79 ( ( mem @ V794l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V795e1: $i] :
% 5.55/5.79 ( ( mem @ V795e1 @ A_27a )
% 5.55/5.79 & ? [V796e2: $i] :
% 5.55/5.79 ( ( mem @ V796e2 @ A_27a )
% 5.55/5.79 & ? [V797e3: $i] :
% 5.55/5.79 ( ( mem @ V797e3 @ A_27a )
% 5.55/5.79 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V794l_27 ) ) )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V795e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V796e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V797e3 ) @ V794l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.79 <=> ? [V798l_27: $i] :
% 5.55/5.79 ( ( mem @ V798l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.79 & ? [V799e1: $i] :
% 5.55/5.79 ( ( mem @ V799e1 @ A_27a )
% 5.55/5.79 & ? [V800e2: $i] :
% 5.55/5.79 ( ( mem @ V800e2 @ A_27a )
% 5.55/5.79 & ? [V801e3: $i] :
% 5.55/5.79 ( ( mem @ V801e3 @ A_27a )
% 5.55/5.79 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V798l_27 ) ) )
% 5.55/5.79 & ( V0l
% 5.55/5.79 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V799e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V800e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V801e3 ) @ V798l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.79 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.79 <=> ? [V802l_27: $i] :
% 5.55/5.80 ( ( mem @ V802l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V803e1: $i] :
% 5.55/5.80 ( ( mem @ V803e1 @ A_27a )
% 5.55/5.80 & ? [V804e2: $i] :
% 5.55/5.80 ( ( mem @ V804e2 @ A_27a )
% 5.55/5.80 & ? [V805e3: $i] :
% 5.55/5.80 ( ( mem @ V805e3 @ A_27a )
% 5.55/5.80 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V802l_27 ) ) )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V803e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V804e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V805e3 ) @ V802l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.80 <=> ? [V806l_27: $i] :
% 5.55/5.80 ( ( mem @ V806l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V807e1: $i] :
% 5.55/5.80 ( ( mem @ V807e1 @ A_27a )
% 5.55/5.80 & ? [V808e2: $i] :
% 5.55/5.80 ( ( mem @ V808e2 @ A_27a )
% 5.55/5.80 & ? [V809e3: $i] :
% 5.55/5.80 ( ( mem @ V809e3 @ A_27a )
% 5.55/5.80 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V806l_27 ) ) )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V807e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V808e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V809e3 ) @ V806l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.80 <=> ? [V810l_27: $i] :
% 5.55/5.80 ( ( mem @ V810l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V811e1: $i] :
% 5.55/5.80 ( ( mem @ V811e1 @ A_27a )
% 5.55/5.80 & ? [V812e2: $i] :
% 5.55/5.80 ( ( mem @ V812e2 @ A_27a )
% 5.55/5.80 & ? [V813e3: $i] :
% 5.55/5.80 ( ( mem @ V813e3 @ A_27a )
% 5.55/5.80 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V810l_27 ) )
% 5.55/5.80 = V1x )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V811e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V812e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V813e3 ) @ V810l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V814l_27: $i] :
% 5.55/5.80 ( ( mem @ V814l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V815e1: $i] :
% 5.55/5.80 ( ( mem @ V815e1 @ A_27a )
% 5.55/5.80 & ? [V816e2: $i] :
% 5.55/5.80 ( ( mem @ V816e2 @ A_27a )
% 5.55/5.80 & ? [V817e3: $i] :
% 5.55/5.80 ( ( mem @ V817e3 @ A_27a )
% 5.55/5.80 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V814l_27 ) )
% 5.55/5.80 = V1x )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V815e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V816e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V817e3 ) @ V814l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.80 <=> ? [V818l_27: $i] :
% 5.55/5.80 ( ( mem @ V818l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V819e1: $i] :
% 5.55/5.80 ( ( mem @ V819e1 @ A_27a )
% 5.55/5.80 & ? [V820e2: $i] :
% 5.55/5.80 ( ( mem @ V820e2 @ A_27a )
% 5.55/5.80 & ? [V821e3: $i] :
% 5.55/5.80 ( ( mem @ V821e3 @ A_27a )
% 5.55/5.80 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V818l_27 ) )
% 5.55/5.80 = V1x )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V819e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V820e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V821e3 ) @ V818l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V822l_27: $i] :
% 5.55/5.80 ( ( mem @ V822l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V823e1: $i] :
% 5.55/5.80 ( ( mem @ V823e1 @ A_27a )
% 5.55/5.80 & ? [V824e2: $i] :
% 5.55/5.80 ( ( mem @ V824e2 @ A_27a )
% 5.55/5.80 & ? [V825e3: $i] :
% 5.55/5.80 ( ( mem @ V825e3 @ A_27a )
% 5.55/5.80 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V822l_27 ) )
% 5.55/5.80 = V1x )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V823e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V824e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V825e3 ) @ V822l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.80 <=> ? [V826e1: $i] :
% 5.55/5.80 ( ( mem @ V826e1 @ A_27a )
% 5.55/5.80 & ? [V827e2: $i] :
% 5.55/5.80 ( ( mem @ V827e2 @ A_27a )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V826e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V827e2 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V828e1: $i] :
% 5.55/5.80 ( ( mem @ V828e1 @ A_27a )
% 5.55/5.80 & ? [V829e2: $i] :
% 5.55/5.80 ( ( mem @ V829e2 @ A_27a )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V828e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V829e2 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V830l_27: $i] :
% 5.55/5.80 ( ( mem @ V830l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V831e1: $i] :
% 5.55/5.80 ( ( mem @ V831e1 @ A_27a )
% 5.55/5.80 & ? [V832e2: $i] :
% 5.55/5.80 ( ( mem @ V832e2 @ A_27a )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V831e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V832e2 ) @ V830l_27 ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.80 <=> ? [V833l_27: $i] :
% 5.55/5.80 ( ( mem @ V833l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V834e1: $i] :
% 5.55/5.80 ( ( mem @ V834e1 @ A_27a )
% 5.55/5.80 & ? [V835e2: $i] :
% 5.55/5.80 ( ( mem @ V835e2 @ A_27a )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V834e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V835e2 ) @ V833l_27 ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V836l_27: $i] :
% 5.55/5.80 ( ( mem @ V836l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V837e1: $i] :
% 5.55/5.80 ( ( mem @ V837e1 @ A_27a )
% 5.55/5.80 & ? [V838e2: $i] :
% 5.55/5.80 ( ( mem @ V838e2 @ A_27a )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V837e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V838e2 ) @ V836l_27 ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.80 <=> ? [V839l_27: $i] :
% 5.55/5.80 ( ( mem @ V839l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V840e1: $i] :
% 5.55/5.80 ( ( mem @ V840e1 @ A_27a )
% 5.55/5.80 & ? [V841e2: $i] :
% 5.55/5.80 ( ( mem @ V841e2 @ A_27a )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V840e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V841e2 ) @ V839l_27 ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V842l_27: $i] :
% 5.55/5.80 ( ( mem @ V842l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V843e1: $i] :
% 5.55/5.80 ( ( mem @ V843e1 @ A_27a )
% 5.55/5.80 & ? [V844e2: $i] :
% 5.55/5.80 ( ( mem @ V844e2 @ A_27a )
% 5.55/5.80 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V842l_27 ) ) )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V843e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V844e2 ) @ V842l_27 ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.80 <=> ? [V845l_27: $i] :
% 5.55/5.80 ( ( mem @ V845l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V846e1: $i] :
% 5.55/5.80 ( ( mem @ V846e1 @ A_27a )
% 5.55/5.80 & ? [V847e2: $i] :
% 5.55/5.80 ( ( mem @ V847e2 @ A_27a )
% 5.55/5.80 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V845l_27 ) ) )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V846e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V847e2 ) @ V845l_27 ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V848l_27: $i] :
% 5.55/5.80 ( ( mem @ V848l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V849e1: $i] :
% 5.55/5.80 ( ( mem @ V849e1 @ A_27a )
% 5.55/5.80 & ? [V850e2: $i] :
% 5.55/5.80 ( ( mem @ V850e2 @ A_27a )
% 5.55/5.80 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V848l_27 ) ) )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V849e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V850e2 ) @ V848l_27 ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.80 <=> ? [V851l_27: $i] :
% 5.55/5.80 ( ( mem @ V851l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V852e1: $i] :
% 5.55/5.80 ( ( mem @ V852e1 @ A_27a )
% 5.55/5.80 & ? [V853e2: $i] :
% 5.55/5.80 ( ( mem @ V853e2 @ A_27a )
% 5.55/5.80 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V851l_27 ) ) )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V852e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V853e2 ) @ V851l_27 ) ) ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.80 <=> ? [V854l_27: $i] :
% 5.55/5.80 ( ( mem @ V854l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V855e1: $i] :
% 5.55/5.80 ( ( mem @ V855e1 @ A_27a )
% 5.55/5.80 & ? [V856e2: $i] :
% 5.55/5.80 ( ( mem @ V856e2 @ A_27a )
% 5.55/5.80 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V854l_27 ) )
% 5.55/5.80 = V1x )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V855e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V856e2 ) @ V854l_27 ) ) ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V857l_27: $i] :
% 5.55/5.80 ( ( mem @ V857l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V858e1: $i] :
% 5.55/5.80 ( ( mem @ V858e1 @ A_27a )
% 5.55/5.80 & ? [V859e2: $i] :
% 5.55/5.80 ( ( mem @ V859e2 @ A_27a )
% 5.55/5.80 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V857l_27 ) )
% 5.55/5.80 = V1x )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V858e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V859e2 ) @ V857l_27 ) ) ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.80 <=> ? [V860l_27: $i] :
% 5.55/5.80 ( ( mem @ V860l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V861e1: $i] :
% 5.55/5.80 ( ( mem @ V861e1 @ A_27a )
% 5.55/5.80 & ? [V862e2: $i] :
% 5.55/5.80 ( ( mem @ V862e2 @ A_27a )
% 5.55/5.80 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V860l_27 ) )
% 5.55/5.80 = V1x )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V861e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V862e2 ) @ V860l_27 ) ) ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V863l_27: $i] :
% 5.55/5.80 ( ( mem @ V863l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V864e1: $i] :
% 5.55/5.80 ( ( mem @ V864e1 @ A_27a )
% 5.55/5.80 & ? [V865e2: $i] :
% 5.55/5.80 ( ( mem @ V865e2 @ A_27a )
% 5.55/5.80 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V863l_27 ) )
% 5.55/5.80 = V1x )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V864e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V865e2 ) @ V863l_27 ) ) ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.80 <=> ? [V866e1: $i] :
% 5.55/5.80 ( ( mem @ V866e1 @ A_27a )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V866e1 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V867e1: $i] :
% 5.55/5.80 ( ( mem @ V867e1 @ A_27a )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V867e1 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V868l_27: $i] :
% 5.55/5.80 ( ( mem @ V868l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V869e1: $i] :
% 5.55/5.80 ( ( mem @ V869e1 @ A_27a )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V869e1 ) @ V868l_27 ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.55/5.80 <=> ? [V870l_27: $i] :
% 5.55/5.80 ( ( mem @ V870l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V871e1: $i] :
% 5.55/5.80 ( ( mem @ V871e1 @ A_27a )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V871e1 ) @ V870l_27 ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V872l_27: $i] :
% 5.55/5.80 ( ( mem @ V872l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V873e1: $i] :
% 5.55/5.80 ( ( mem @ V873e1 @ A_27a )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V873e1 ) @ V872l_27 ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.80 <=> ? [V874l_27: $i] :
% 5.55/5.80 ( ( mem @ V874l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V875e1: $i] :
% 5.55/5.80 ( ( mem @ V875e1 @ A_27a )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V875e1 ) @ V874l_27 ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V876l_27: $i] :
% 5.55/5.80 ( ( mem @ V876l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V877e1: $i] :
% 5.55/5.80 ( ( mem @ V877e1 @ A_27a )
% 5.55/5.80 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V876l_27 ) ) )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V877e1 ) @ V876l_27 ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.80 <=> ? [V878l_27: $i] :
% 5.55/5.80 ( ( mem @ V878l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V879e1: $i] :
% 5.55/5.80 ( ( mem @ V879e1 @ A_27a )
% 5.55/5.80 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V878l_27 ) ) )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V879e1 ) @ V878l_27 ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V880l_27: $i] :
% 5.55/5.80 ( ( mem @ V880l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V881e1: $i] :
% 5.55/5.80 ( ( mem @ V881e1 @ A_27a )
% 5.55/5.80 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V880l_27 ) ) )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V881e1 ) @ V880l_27 ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.80 <=> ? [V882l_27: $i] :
% 5.55/5.80 ( ( mem @ V882l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V883e1: $i] :
% 5.55/5.80 ( ( mem @ V883e1 @ A_27a )
% 5.55/5.80 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V882l_27 ) ) )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V883e1 ) @ V882l_27 ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.80 <=> ? [V884l_27: $i] :
% 5.55/5.80 ( ( mem @ V884l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V885e1: $i] :
% 5.55/5.80 ( ( mem @ V885e1 @ A_27a )
% 5.55/5.80 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V884l_27 ) )
% 5.55/5.80 = V1x )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V885e1 ) @ V884l_27 ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V886l_27: $i] :
% 5.55/5.80 ( ( mem @ V886l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V887e1: $i] :
% 5.55/5.80 ( ( mem @ V887e1 @ A_27a )
% 5.55/5.80 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V886l_27 ) )
% 5.55/5.80 = V1x )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V887e1 ) @ V886l_27 ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.80 <=> ? [V888l_27: $i] :
% 5.55/5.80 ( ( mem @ V888l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V889e1: $i] :
% 5.55/5.80 ( ( mem @ V889e1 @ A_27a )
% 5.55/5.80 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V888l_27 ) )
% 5.55/5.80 = V1x )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V889e1 ) @ V888l_27 ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V890l_27: $i] :
% 5.55/5.80 ( ( mem @ V890l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V891e1: $i] :
% 5.55/5.80 ( ( mem @ V891e1 @ A_27a )
% 5.55/5.80 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V890l_27 ) )
% 5.55/5.80 = V1x )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V891e1 ) @ V890l_27 ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.80 = fo__c_2Enum_2E0 )
% 5.55/5.80 <=> ( V0l
% 5.55/5.80 = ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.80 & ( ( fo__c_2Enum_2E0
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ( V0l
% 5.55/5.80 = ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.80 <=> ( V0l
% 5.55/5.80 = ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ( V0l
% 5.55/5.80 = ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ( V0l
% 5.55/5.80 = ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.55/5.80 <=> ( V0l
% 5.55/5.80 = ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ).
% 5.55/5.80
% 5.55/5.80 thf(conj_thm_2EquantHeuristics_2ELIST__LENGTH__15,axiom,
% 5.55/5.80 ! [A_27a: del,V0l: $i] :
% 5.55/5.80 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 => ! [V1x: tp__ty_2Enum_2Enum] :
% 5.55/5.80 ( ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.80 <=> ? [V2e1: $i] :
% 5.55/5.80 ( ( mem @ V2e1 @ A_27a )
% 5.55/5.80 & ? [V3e2: $i] :
% 5.55/5.80 ( ( mem @ V3e2 @ A_27a )
% 5.55/5.80 & ? [V4e3: $i] :
% 5.55/5.80 ( ( mem @ V4e3 @ A_27a )
% 5.55/5.80 & ? [V5e4: $i] :
% 5.55/5.80 ( ( mem @ V5e4 @ A_27a )
% 5.55/5.80 & ? [V6e5: $i] :
% 5.55/5.80 ( ( mem @ V6e5 @ A_27a )
% 5.55/5.80 & ? [V7e6: $i] :
% 5.55/5.80 ( ( mem @ V7e6 @ A_27a )
% 5.55/5.80 & ? [V8e7: $i] :
% 5.55/5.80 ( ( mem @ V8e7 @ A_27a )
% 5.55/5.80 & ? [V9e8: $i] :
% 5.55/5.80 ( ( mem @ V9e8 @ A_27a )
% 5.55/5.80 & ? [V10e9: $i] :
% 5.55/5.80 ( ( mem @ V10e9 @ A_27a )
% 5.55/5.80 & ? [V11e10: $i] :
% 5.55/5.80 ( ( mem @ V11e10 @ A_27a )
% 5.55/5.80 & ? [V12e11: $i] :
% 5.55/5.80 ( ( mem @ V12e11 @ A_27a )
% 5.55/5.80 & ? [V13e12: $i] :
% 5.55/5.80 ( ( mem @ V13e12 @ A_27a )
% 5.55/5.80 & ? [V14e13: $i] :
% 5.55/5.80 ( ( mem @ V14e13 @ A_27a )
% 5.55/5.80 & ? [V15e14: $i] :
% 5.55/5.80 ( ( mem @ V15e14 @ A_27a )
% 5.55/5.80 & ? [V16e15: $i] :
% 5.55/5.80 ( ( mem @ V16e15 @ A_27a )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V5e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V6e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V7e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V8e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V9e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V10e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V11e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V12e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V13e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V14e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V15e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V16e15 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V17e1: $i] :
% 5.55/5.80 ( ( mem @ V17e1 @ A_27a )
% 5.55/5.80 & ? [V18e2: $i] :
% 5.55/5.80 ( ( mem @ V18e2 @ A_27a )
% 5.55/5.80 & ? [V19e3: $i] :
% 5.55/5.80 ( ( mem @ V19e3 @ A_27a )
% 5.55/5.80 & ? [V20e4: $i] :
% 5.55/5.80 ( ( mem @ V20e4 @ A_27a )
% 5.55/5.80 & ? [V21e5: $i] :
% 5.55/5.80 ( ( mem @ V21e5 @ A_27a )
% 5.55/5.80 & ? [V22e6: $i] :
% 5.55/5.80 ( ( mem @ V22e6 @ A_27a )
% 5.55/5.80 & ? [V23e7: $i] :
% 5.55/5.80 ( ( mem @ V23e7 @ A_27a )
% 5.55/5.80 & ? [V24e8: $i] :
% 5.55/5.80 ( ( mem @ V24e8 @ A_27a )
% 5.55/5.80 & ? [V25e9: $i] :
% 5.55/5.80 ( ( mem @ V25e9 @ A_27a )
% 5.55/5.80 & ? [V26e10: $i] :
% 5.55/5.80 ( ( mem @ V26e10 @ A_27a )
% 5.55/5.80 & ? [V27e11: $i] :
% 5.55/5.80 ( ( mem @ V27e11 @ A_27a )
% 5.55/5.80 & ? [V28e12: $i] :
% 5.55/5.80 ( ( mem @ V28e12 @ A_27a )
% 5.55/5.80 & ? [V29e13: $i] :
% 5.55/5.80 ( ( mem @ V29e13 @ A_27a )
% 5.55/5.80 & ? [V30e14: $i] :
% 5.55/5.80 ( ( mem @ V30e14 @ A_27a )
% 5.55/5.80 & ? [V31e15: $i] :
% 5.55/5.80 ( ( mem @ V31e15 @ A_27a )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V17e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V18e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V19e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V20e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V21e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V22e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V23e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V24e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V25e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V26e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V27e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V28e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V29e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V30e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V31e15 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V32l_27: $i] :
% 5.55/5.80 ( ( mem @ V32l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V33e1: $i] :
% 5.55/5.80 ( ( mem @ V33e1 @ A_27a )
% 5.55/5.80 & ? [V34e2: $i] :
% 5.55/5.80 ( ( mem @ V34e2 @ A_27a )
% 5.55/5.80 & ? [V35e3: $i] :
% 5.55/5.80 ( ( mem @ V35e3 @ A_27a )
% 5.55/5.80 & ? [V36e4: $i] :
% 5.55/5.80 ( ( mem @ V36e4 @ A_27a )
% 5.55/5.80 & ? [V37e5: $i] :
% 5.55/5.80 ( ( mem @ V37e5 @ A_27a )
% 5.55/5.80 & ? [V38e6: $i] :
% 5.55/5.80 ( ( mem @ V38e6 @ A_27a )
% 5.55/5.80 & ? [V39e7: $i] :
% 5.55/5.80 ( ( mem @ V39e7 @ A_27a )
% 5.55/5.80 & ? [V40e8: $i] :
% 5.55/5.80 ( ( mem @ V40e8 @ A_27a )
% 5.55/5.80 & ? [V41e9: $i] :
% 5.55/5.80 ( ( mem @ V41e9 @ A_27a )
% 5.55/5.80 & ? [V42e10: $i] :
% 5.55/5.80 ( ( mem @ V42e10 @ A_27a )
% 5.55/5.80 & ? [V43e11: $i] :
% 5.55/5.80 ( ( mem @ V43e11 @ A_27a )
% 5.55/5.80 & ? [V44e12: $i] :
% 5.55/5.80 ( ( mem @ V44e12 @ A_27a )
% 5.55/5.80 & ? [V45e13: $i] :
% 5.55/5.80 ( ( mem @ V45e13 @ A_27a )
% 5.55/5.80 & ? [V46e14: $i] :
% 5.55/5.80 ( ( mem @ V46e14 @ A_27a )
% 5.55/5.80 & ? [V47e15: $i] :
% 5.55/5.80 ( ( mem @ V47e15 @ A_27a )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V33e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V34e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V35e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V36e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V37e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V38e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V39e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V40e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V41e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V42e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V43e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V44e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V45e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V46e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V47e15 ) @ V32l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.80 <=> ? [V48l_27: $i] :
% 5.55/5.80 ( ( mem @ V48l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V49e1: $i] :
% 5.55/5.80 ( ( mem @ V49e1 @ A_27a )
% 5.55/5.80 & ? [V50e2: $i] :
% 5.55/5.80 ( ( mem @ V50e2 @ A_27a )
% 5.55/5.80 & ? [V51e3: $i] :
% 5.55/5.80 ( ( mem @ V51e3 @ A_27a )
% 5.55/5.80 & ? [V52e4: $i] :
% 5.55/5.80 ( ( mem @ V52e4 @ A_27a )
% 5.55/5.80 & ? [V53e5: $i] :
% 5.55/5.80 ( ( mem @ V53e5 @ A_27a )
% 5.55/5.80 & ? [V54e6: $i] :
% 5.55/5.80 ( ( mem @ V54e6 @ A_27a )
% 5.55/5.80 & ? [V55e7: $i] :
% 5.55/5.80 ( ( mem @ V55e7 @ A_27a )
% 5.55/5.80 & ? [V56e8: $i] :
% 5.55/5.80 ( ( mem @ V56e8 @ A_27a )
% 5.55/5.80 & ? [V57e9: $i] :
% 5.55/5.80 ( ( mem @ V57e9 @ A_27a )
% 5.55/5.80 & ? [V58e10: $i] :
% 5.55/5.80 ( ( mem @ V58e10 @ A_27a )
% 5.55/5.80 & ? [V59e11: $i] :
% 5.55/5.80 ( ( mem @ V59e11 @ A_27a )
% 5.55/5.80 & ? [V60e12: $i] :
% 5.55/5.80 ( ( mem @ V60e12 @ A_27a )
% 5.55/5.80 & ? [V61e13: $i] :
% 5.55/5.80 ( ( mem @ V61e13 @ A_27a )
% 5.55/5.80 & ? [V62e14: $i] :
% 5.55/5.80 ( ( mem @ V62e14 @ A_27a )
% 5.55/5.80 & ? [V63e15: $i] :
% 5.55/5.80 ( ( mem @ V63e15 @ A_27a )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V49e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V50e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V51e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V52e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V53e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V54e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V55e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V56e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V57e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V58e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V59e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V60e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V61e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V62e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V63e15 ) @ V48l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V64l_27: $i] :
% 5.55/5.80 ( ( mem @ V64l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V65e1: $i] :
% 5.55/5.80 ( ( mem @ V65e1 @ A_27a )
% 5.55/5.80 & ? [V66e2: $i] :
% 5.55/5.80 ( ( mem @ V66e2 @ A_27a )
% 5.55/5.80 & ? [V67e3: $i] :
% 5.55/5.80 ( ( mem @ V67e3 @ A_27a )
% 5.55/5.80 & ? [V68e4: $i] :
% 5.55/5.80 ( ( mem @ V68e4 @ A_27a )
% 5.55/5.80 & ? [V69e5: $i] :
% 5.55/5.80 ( ( mem @ V69e5 @ A_27a )
% 5.55/5.80 & ? [V70e6: $i] :
% 5.55/5.80 ( ( mem @ V70e6 @ A_27a )
% 5.55/5.80 & ? [V71e7: $i] :
% 5.55/5.80 ( ( mem @ V71e7 @ A_27a )
% 5.55/5.80 & ? [V72e8: $i] :
% 5.55/5.80 ( ( mem @ V72e8 @ A_27a )
% 5.55/5.80 & ? [V73e9: $i] :
% 5.55/5.80 ( ( mem @ V73e9 @ A_27a )
% 5.55/5.80 & ? [V74e10: $i] :
% 5.55/5.80 ( ( mem @ V74e10 @ A_27a )
% 5.55/5.80 & ? [V75e11: $i] :
% 5.55/5.80 ( ( mem @ V75e11 @ A_27a )
% 5.55/5.80 & ? [V76e12: $i] :
% 5.55/5.80 ( ( mem @ V76e12 @ A_27a )
% 5.55/5.80 & ? [V77e13: $i] :
% 5.55/5.80 ( ( mem @ V77e13 @ A_27a )
% 5.55/5.80 & ? [V78e14: $i] :
% 5.55/5.80 ( ( mem @ V78e14 @ A_27a )
% 5.55/5.80 & ? [V79e15: $i] :
% 5.55/5.80 ( ( mem @ V79e15 @ A_27a )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V65e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V66e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V67e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V68e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V69e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V70e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V71e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V72e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V73e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V74e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V75e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V76e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V77e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V78e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V79e15 ) @ V64l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.80 <=> ? [V80l_27: $i] :
% 5.55/5.80 ( ( mem @ V80l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V81e1: $i] :
% 5.55/5.80 ( ( mem @ V81e1 @ A_27a )
% 5.55/5.80 & ? [V82e2: $i] :
% 5.55/5.80 ( ( mem @ V82e2 @ A_27a )
% 5.55/5.80 & ? [V83e3: $i] :
% 5.55/5.80 ( ( mem @ V83e3 @ A_27a )
% 5.55/5.80 & ? [V84e4: $i] :
% 5.55/5.80 ( ( mem @ V84e4 @ A_27a )
% 5.55/5.80 & ? [V85e5: $i] :
% 5.55/5.80 ( ( mem @ V85e5 @ A_27a )
% 5.55/5.80 & ? [V86e6: $i] :
% 5.55/5.80 ( ( mem @ V86e6 @ A_27a )
% 5.55/5.80 & ? [V87e7: $i] :
% 5.55/5.80 ( ( mem @ V87e7 @ A_27a )
% 5.55/5.80 & ? [V88e8: $i] :
% 5.55/5.80 ( ( mem @ V88e8 @ A_27a )
% 5.55/5.80 & ? [V89e9: $i] :
% 5.55/5.80 ( ( mem @ V89e9 @ A_27a )
% 5.55/5.80 & ? [V90e10: $i] :
% 5.55/5.80 ( ( mem @ V90e10 @ A_27a )
% 5.55/5.80 & ? [V91e11: $i] :
% 5.55/5.80 ( ( mem @ V91e11 @ A_27a )
% 5.55/5.80 & ? [V92e12: $i] :
% 5.55/5.80 ( ( mem @ V92e12 @ A_27a )
% 5.55/5.80 & ? [V93e13: $i] :
% 5.55/5.80 ( ( mem @ V93e13 @ A_27a )
% 5.55/5.80 & ? [V94e14: $i] :
% 5.55/5.80 ( ( mem @ V94e14 @ A_27a )
% 5.55/5.80 & ? [V95e15: $i] :
% 5.55/5.80 ( ( mem @ V95e15 @ A_27a )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V81e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V82e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V83e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V84e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V85e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V86e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V87e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V88e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V89e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V90e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V91e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V92e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V93e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V94e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V95e15 ) @ V80l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V96l_27: $i] :
% 5.55/5.80 ( ( mem @ V96l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V97e1: $i] :
% 5.55/5.80 ( ( mem @ V97e1 @ A_27a )
% 5.55/5.80 & ? [V98e2: $i] :
% 5.55/5.80 ( ( mem @ V98e2 @ A_27a )
% 5.55/5.80 & ? [V99e3: $i] :
% 5.55/5.80 ( ( mem @ V99e3 @ A_27a )
% 5.55/5.80 & ? [V100e4: $i] :
% 5.55/5.80 ( ( mem @ V100e4 @ A_27a )
% 5.55/5.80 & ? [V101e5: $i] :
% 5.55/5.80 ( ( mem @ V101e5 @ A_27a )
% 5.55/5.80 & ? [V102e6: $i] :
% 5.55/5.80 ( ( mem @ V102e6 @ A_27a )
% 5.55/5.80 & ? [V103e7: $i] :
% 5.55/5.80 ( ( mem @ V103e7 @ A_27a )
% 5.55/5.80 & ? [V104e8: $i] :
% 5.55/5.80 ( ( mem @ V104e8 @ A_27a )
% 5.55/5.80 & ? [V105e9: $i] :
% 5.55/5.80 ( ( mem @ V105e9 @ A_27a )
% 5.55/5.80 & ? [V106e10: $i] :
% 5.55/5.80 ( ( mem @ V106e10 @ A_27a )
% 5.55/5.80 & ? [V107e11: $i] :
% 5.55/5.80 ( ( mem @ V107e11 @ A_27a )
% 5.55/5.80 & ? [V108e12: $i] :
% 5.55/5.80 ( ( mem @ V108e12 @ A_27a )
% 5.55/5.80 & ? [V109e13: $i] :
% 5.55/5.80 ( ( mem @ V109e13 @ A_27a )
% 5.55/5.80 & ? [V110e14: $i] :
% 5.55/5.80 ( ( mem @ V110e14 @ A_27a )
% 5.55/5.80 & ? [V111e15: $i] :
% 5.55/5.80 ( ( mem @ V111e15 @ A_27a )
% 5.55/5.80 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V96l_27 ) ) )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V97e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V98e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V99e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V100e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V101e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V102e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V103e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V104e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V105e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V106e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V107e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V108e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V109e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V110e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V111e15 ) @ V96l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.80 <=> ? [V112l_27: $i] :
% 5.55/5.80 ( ( mem @ V112l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V113e1: $i] :
% 5.55/5.80 ( ( mem @ V113e1 @ A_27a )
% 5.55/5.80 & ? [V114e2: $i] :
% 5.55/5.80 ( ( mem @ V114e2 @ A_27a )
% 5.55/5.80 & ? [V115e3: $i] :
% 5.55/5.80 ( ( mem @ V115e3 @ A_27a )
% 5.55/5.80 & ? [V116e4: $i] :
% 5.55/5.80 ( ( mem @ V116e4 @ A_27a )
% 5.55/5.80 & ? [V117e5: $i] :
% 5.55/5.80 ( ( mem @ V117e5 @ A_27a )
% 5.55/5.80 & ? [V118e6: $i] :
% 5.55/5.80 ( ( mem @ V118e6 @ A_27a )
% 5.55/5.80 & ? [V119e7: $i] :
% 5.55/5.80 ( ( mem @ V119e7 @ A_27a )
% 5.55/5.80 & ? [V120e8: $i] :
% 5.55/5.80 ( ( mem @ V120e8 @ A_27a )
% 5.55/5.80 & ? [V121e9: $i] :
% 5.55/5.80 ( ( mem @ V121e9 @ A_27a )
% 5.55/5.80 & ? [V122e10: $i] :
% 5.55/5.80 ( ( mem @ V122e10 @ A_27a )
% 5.55/5.80 & ? [V123e11: $i] :
% 5.55/5.80 ( ( mem @ V123e11 @ A_27a )
% 5.55/5.80 & ? [V124e12: $i] :
% 5.55/5.80 ( ( mem @ V124e12 @ A_27a )
% 5.55/5.80 & ? [V125e13: $i] :
% 5.55/5.80 ( ( mem @ V125e13 @ A_27a )
% 5.55/5.80 & ? [V126e14: $i] :
% 5.55/5.80 ( ( mem @ V126e14 @ A_27a )
% 5.55/5.80 & ? [V127e15: $i] :
% 5.55/5.80 ( ( mem @ V127e15 @ A_27a )
% 5.55/5.80 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V112l_27 ) ) )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V113e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V114e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V115e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V116e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V117e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V118e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V119e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V120e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V121e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V122e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V123e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V124e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V125e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V126e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V127e15 ) @ V112l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V128l_27: $i] :
% 5.55/5.80 ( ( mem @ V128l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V129e1: $i] :
% 5.55/5.80 ( ( mem @ V129e1 @ A_27a )
% 5.55/5.80 & ? [V130e2: $i] :
% 5.55/5.80 ( ( mem @ V130e2 @ A_27a )
% 5.55/5.80 & ? [V131e3: $i] :
% 5.55/5.80 ( ( mem @ V131e3 @ A_27a )
% 5.55/5.80 & ? [V132e4: $i] :
% 5.55/5.80 ( ( mem @ V132e4 @ A_27a )
% 5.55/5.80 & ? [V133e5: $i] :
% 5.55/5.80 ( ( mem @ V133e5 @ A_27a )
% 5.55/5.80 & ? [V134e6: $i] :
% 5.55/5.80 ( ( mem @ V134e6 @ A_27a )
% 5.55/5.80 & ? [V135e7: $i] :
% 5.55/5.80 ( ( mem @ V135e7 @ A_27a )
% 5.55/5.80 & ? [V136e8: $i] :
% 5.55/5.80 ( ( mem @ V136e8 @ A_27a )
% 5.55/5.80 & ? [V137e9: $i] :
% 5.55/5.80 ( ( mem @ V137e9 @ A_27a )
% 5.55/5.80 & ? [V138e10: $i] :
% 5.55/5.80 ( ( mem @ V138e10 @ A_27a )
% 5.55/5.80 & ? [V139e11: $i] :
% 5.55/5.80 ( ( mem @ V139e11 @ A_27a )
% 5.55/5.80 & ? [V140e12: $i] :
% 5.55/5.80 ( ( mem @ V140e12 @ A_27a )
% 5.55/5.80 & ? [V141e13: $i] :
% 5.55/5.80 ( ( mem @ V141e13 @ A_27a )
% 5.55/5.80 & ? [V142e14: $i] :
% 5.55/5.80 ( ( mem @ V142e14 @ A_27a )
% 5.55/5.80 & ? [V143e15: $i] :
% 5.55/5.80 ( ( mem @ V143e15 @ A_27a )
% 5.55/5.80 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V128l_27 ) ) )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V129e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V130e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V131e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V132e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V133e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V134e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V135e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V136e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V137e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V138e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V139e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V140e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V141e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V142e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V143e15 ) @ V128l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) )
% 5.55/5.80 <=> ? [V144l_27: $i] :
% 5.55/5.80 ( ( mem @ V144l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V145e1: $i] :
% 5.55/5.80 ( ( mem @ V145e1 @ A_27a )
% 5.55/5.80 & ? [V146e2: $i] :
% 5.55/5.80 ( ( mem @ V146e2 @ A_27a )
% 5.55/5.80 & ? [V147e3: $i] :
% 5.55/5.80 ( ( mem @ V147e3 @ A_27a )
% 5.55/5.80 & ? [V148e4: $i] :
% 5.55/5.80 ( ( mem @ V148e4 @ A_27a )
% 5.55/5.80 & ? [V149e5: $i] :
% 5.55/5.80 ( ( mem @ V149e5 @ A_27a )
% 5.55/5.80 & ? [V150e6: $i] :
% 5.55/5.80 ( ( mem @ V150e6 @ A_27a )
% 5.55/5.80 & ? [V151e7: $i] :
% 5.55/5.80 ( ( mem @ V151e7 @ A_27a )
% 5.55/5.80 & ? [V152e8: $i] :
% 5.55/5.80 ( ( mem @ V152e8 @ A_27a )
% 5.55/5.80 & ? [V153e9: $i] :
% 5.55/5.80 ( ( mem @ V153e9 @ A_27a )
% 5.55/5.80 & ? [V154e10: $i] :
% 5.55/5.80 ( ( mem @ V154e10 @ A_27a )
% 5.55/5.80 & ? [V155e11: $i] :
% 5.55/5.80 ( ( mem @ V155e11 @ A_27a )
% 5.55/5.80 & ? [V156e12: $i] :
% 5.55/5.80 ( ( mem @ V156e12 @ A_27a )
% 5.55/5.80 & ? [V157e13: $i] :
% 5.55/5.80 ( ( mem @ V157e13 @ A_27a )
% 5.55/5.80 & ? [V158e14: $i] :
% 5.55/5.80 ( ( mem @ V158e14 @ A_27a )
% 5.55/5.80 & ? [V159e15: $i] :
% 5.55/5.80 ( ( mem @ V159e15 @ A_27a )
% 5.55/5.80 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V144l_27 ) ) )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V145e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V146e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V147e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V148e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V149e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V150e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V151e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V152e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V153e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V154e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V155e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V156e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V157e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V158e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V159e15 ) @ V144l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.80 <=> ? [V160l_27: $i] :
% 5.55/5.80 ( ( mem @ V160l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V161e1: $i] :
% 5.55/5.80 ( ( mem @ V161e1 @ A_27a )
% 5.55/5.80 & ? [V162e2: $i] :
% 5.55/5.80 ( ( mem @ V162e2 @ A_27a )
% 5.55/5.80 & ? [V163e3: $i] :
% 5.55/5.80 ( ( mem @ V163e3 @ A_27a )
% 5.55/5.80 & ? [V164e4: $i] :
% 5.55/5.80 ( ( mem @ V164e4 @ A_27a )
% 5.55/5.80 & ? [V165e5: $i] :
% 5.55/5.80 ( ( mem @ V165e5 @ A_27a )
% 5.55/5.80 & ? [V166e6: $i] :
% 5.55/5.80 ( ( mem @ V166e6 @ A_27a )
% 5.55/5.80 & ? [V167e7: $i] :
% 5.55/5.80 ( ( mem @ V167e7 @ A_27a )
% 5.55/5.80 & ? [V168e8: $i] :
% 5.55/5.80 ( ( mem @ V168e8 @ A_27a )
% 5.55/5.80 & ? [V169e9: $i] :
% 5.55/5.80 ( ( mem @ V169e9 @ A_27a )
% 5.55/5.80 & ? [V170e10: $i] :
% 5.55/5.80 ( ( mem @ V170e10 @ A_27a )
% 5.55/5.80 & ? [V171e11: $i] :
% 5.55/5.80 ( ( mem @ V171e11 @ A_27a )
% 5.55/5.80 & ? [V172e12: $i] :
% 5.55/5.80 ( ( mem @ V172e12 @ A_27a )
% 5.55/5.80 & ? [V173e13: $i] :
% 5.55/5.80 ( ( mem @ V173e13 @ A_27a )
% 5.55/5.80 & ? [V174e14: $i] :
% 5.55/5.80 ( ( mem @ V174e14 @ A_27a )
% 5.55/5.80 & ? [V175e15: $i] :
% 5.55/5.80 ( ( mem @ V175e15 @ A_27a )
% 5.55/5.80 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V160l_27 ) )
% 5.55/5.80 = V1x )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V161e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V162e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V163e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V164e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V165e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V166e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V167e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V168e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V169e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V170e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V171e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V172e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V173e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V174e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V175e15 ) @ V160l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V176l_27: $i] :
% 5.55/5.80 ( ( mem @ V176l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V177e1: $i] :
% 5.55/5.80 ( ( mem @ V177e1 @ A_27a )
% 5.55/5.80 & ? [V178e2: $i] :
% 5.55/5.80 ( ( mem @ V178e2 @ A_27a )
% 5.55/5.80 & ? [V179e3: $i] :
% 5.55/5.80 ( ( mem @ V179e3 @ A_27a )
% 5.55/5.80 & ? [V180e4: $i] :
% 5.55/5.80 ( ( mem @ V180e4 @ A_27a )
% 5.55/5.80 & ? [V181e5: $i] :
% 5.55/5.80 ( ( mem @ V181e5 @ A_27a )
% 5.55/5.80 & ? [V182e6: $i] :
% 5.55/5.80 ( ( mem @ V182e6 @ A_27a )
% 5.55/5.80 & ? [V183e7: $i] :
% 5.55/5.80 ( ( mem @ V183e7 @ A_27a )
% 5.55/5.80 & ? [V184e8: $i] :
% 5.55/5.80 ( ( mem @ V184e8 @ A_27a )
% 5.55/5.80 & ? [V185e9: $i] :
% 5.55/5.80 ( ( mem @ V185e9 @ A_27a )
% 5.55/5.80 & ? [V186e10: $i] :
% 5.55/5.80 ( ( mem @ V186e10 @ A_27a )
% 5.55/5.80 & ? [V187e11: $i] :
% 5.55/5.80 ( ( mem @ V187e11 @ A_27a )
% 5.55/5.80 & ? [V188e12: $i] :
% 5.55/5.80 ( ( mem @ V188e12 @ A_27a )
% 5.55/5.80 & ? [V189e13: $i] :
% 5.55/5.80 ( ( mem @ V189e13 @ A_27a )
% 5.55/5.80 & ? [V190e14: $i] :
% 5.55/5.80 ( ( mem @ V190e14 @ A_27a )
% 5.55/5.80 & ? [V191e15: $i] :
% 5.55/5.80 ( ( mem @ V191e15 @ A_27a )
% 5.55/5.80 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V176l_27 ) )
% 5.55/5.80 = V1x )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V177e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V178e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V179e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V180e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V181e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V182e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V183e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V184e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V185e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V186e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V187e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V188e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V189e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V190e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V191e15 ) @ V176l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) )
% 5.55/5.80 <=> ? [V192l_27: $i] :
% 5.55/5.80 ( ( mem @ V192l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V193e1: $i] :
% 5.55/5.80 ( ( mem @ V193e1 @ A_27a )
% 5.55/5.80 & ? [V194e2: $i] :
% 5.55/5.80 ( ( mem @ V194e2 @ A_27a )
% 5.55/5.80 & ? [V195e3: $i] :
% 5.55/5.80 ( ( mem @ V195e3 @ A_27a )
% 5.55/5.80 & ? [V196e4: $i] :
% 5.55/5.80 ( ( mem @ V196e4 @ A_27a )
% 5.55/5.80 & ? [V197e5: $i] :
% 5.55/5.80 ( ( mem @ V197e5 @ A_27a )
% 5.55/5.80 & ? [V198e6: $i] :
% 5.55/5.80 ( ( mem @ V198e6 @ A_27a )
% 5.55/5.80 & ? [V199e7: $i] :
% 5.55/5.80 ( ( mem @ V199e7 @ A_27a )
% 5.55/5.80 & ? [V200e8: $i] :
% 5.55/5.80 ( ( mem @ V200e8 @ A_27a )
% 5.55/5.80 & ? [V201e9: $i] :
% 5.55/5.80 ( ( mem @ V201e9 @ A_27a )
% 5.55/5.80 & ? [V202e10: $i] :
% 5.55/5.80 ( ( mem @ V202e10 @ A_27a )
% 5.55/5.80 & ? [V203e11: $i] :
% 5.55/5.80 ( ( mem @ V203e11 @ A_27a )
% 5.55/5.80 & ? [V204e12: $i] :
% 5.55/5.80 ( ( mem @ V204e12 @ A_27a )
% 5.55/5.80 & ? [V205e13: $i] :
% 5.55/5.80 ( ( mem @ V205e13 @ A_27a )
% 5.55/5.80 & ? [V206e14: $i] :
% 5.55/5.80 ( ( mem @ V206e14 @ A_27a )
% 5.55/5.80 & ? [V207e15: $i] :
% 5.55/5.80 ( ( mem @ V207e15 @ A_27a )
% 5.55/5.80 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V192l_27 ) )
% 5.55/5.80 = V1x )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V193e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V194e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V195e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V196e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V197e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V198e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V199e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V200e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V201e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V202e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V203e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V204e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V205e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V206e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V207e15 ) @ V192l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V208l_27: $i] :
% 5.55/5.80 ( ( mem @ V208l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V209e1: $i] :
% 5.55/5.80 ( ( mem @ V209e1 @ A_27a )
% 5.55/5.80 & ? [V210e2: $i] :
% 5.55/5.80 ( ( mem @ V210e2 @ A_27a )
% 5.55/5.80 & ? [V211e3: $i] :
% 5.55/5.80 ( ( mem @ V211e3 @ A_27a )
% 5.55/5.80 & ? [V212e4: $i] :
% 5.55/5.80 ( ( mem @ V212e4 @ A_27a )
% 5.55/5.80 & ? [V213e5: $i] :
% 5.55/5.80 ( ( mem @ V213e5 @ A_27a )
% 5.55/5.80 & ? [V214e6: $i] :
% 5.55/5.80 ( ( mem @ V214e6 @ A_27a )
% 5.55/5.80 & ? [V215e7: $i] :
% 5.55/5.80 ( ( mem @ V215e7 @ A_27a )
% 5.55/5.80 & ? [V216e8: $i] :
% 5.55/5.80 ( ( mem @ V216e8 @ A_27a )
% 5.55/5.80 & ? [V217e9: $i] :
% 5.55/5.80 ( ( mem @ V217e9 @ A_27a )
% 5.55/5.80 & ? [V218e10: $i] :
% 5.55/5.80 ( ( mem @ V218e10 @ A_27a )
% 5.55/5.80 & ? [V219e11: $i] :
% 5.55/5.80 ( ( mem @ V219e11 @ A_27a )
% 5.55/5.80 & ? [V220e12: $i] :
% 5.55/5.80 ( ( mem @ V220e12 @ A_27a )
% 5.55/5.80 & ? [V221e13: $i] :
% 5.55/5.80 ( ( mem @ V221e13 @ A_27a )
% 5.55/5.80 & ? [V222e14: $i] :
% 5.55/5.80 ( ( mem @ V222e14 @ A_27a )
% 5.55/5.80 & ? [V223e15: $i] :
% 5.55/5.80 ( ( mem @ V223e15 @ A_27a )
% 5.55/5.80 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V208l_27 ) )
% 5.55/5.80 = V1x )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V209e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V210e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V211e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V212e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V213e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V214e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V215e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V216e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V217e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V218e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V219e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V220e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V221e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V222e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V223e15 ) @ V208l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.80 <=> ? [V224e1: $i] :
% 5.55/5.80 ( ( mem @ V224e1 @ A_27a )
% 5.55/5.80 & ? [V225e2: $i] :
% 5.55/5.80 ( ( mem @ V225e2 @ A_27a )
% 5.55/5.80 & ? [V226e3: $i] :
% 5.55/5.80 ( ( mem @ V226e3 @ A_27a )
% 5.55/5.80 & ? [V227e4: $i] :
% 5.55/5.80 ( ( mem @ V227e4 @ A_27a )
% 5.55/5.80 & ? [V228e5: $i] :
% 5.55/5.80 ( ( mem @ V228e5 @ A_27a )
% 5.55/5.80 & ? [V229e6: $i] :
% 5.55/5.80 ( ( mem @ V229e6 @ A_27a )
% 5.55/5.80 & ? [V230e7: $i] :
% 5.55/5.80 ( ( mem @ V230e7 @ A_27a )
% 5.55/5.80 & ? [V231e8: $i] :
% 5.55/5.80 ( ( mem @ V231e8 @ A_27a )
% 5.55/5.80 & ? [V232e9: $i] :
% 5.55/5.80 ( ( mem @ V232e9 @ A_27a )
% 5.55/5.80 & ? [V233e10: $i] :
% 5.55/5.80 ( ( mem @ V233e10 @ A_27a )
% 5.55/5.80 & ? [V234e11: $i] :
% 5.55/5.80 ( ( mem @ V234e11 @ A_27a )
% 5.55/5.80 & ? [V235e12: $i] :
% 5.55/5.80 ( ( mem @ V235e12 @ A_27a )
% 5.55/5.80 & ? [V236e13: $i] :
% 5.55/5.80 ( ( mem @ V236e13 @ A_27a )
% 5.55/5.80 & ? [V237e14: $i] :
% 5.55/5.80 ( ( mem @ V237e14 @ A_27a )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V224e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V225e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V226e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V227e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V228e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V229e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V230e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V231e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V232e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V233e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V234e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V235e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V236e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V237e14 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V238e1: $i] :
% 5.55/5.80 ( ( mem @ V238e1 @ A_27a )
% 5.55/5.80 & ? [V239e2: $i] :
% 5.55/5.80 ( ( mem @ V239e2 @ A_27a )
% 5.55/5.80 & ? [V240e3: $i] :
% 5.55/5.80 ( ( mem @ V240e3 @ A_27a )
% 5.55/5.80 & ? [V241e4: $i] :
% 5.55/5.80 ( ( mem @ V241e4 @ A_27a )
% 5.55/5.80 & ? [V242e5: $i] :
% 5.55/5.80 ( ( mem @ V242e5 @ A_27a )
% 5.55/5.80 & ? [V243e6: $i] :
% 5.55/5.80 ( ( mem @ V243e6 @ A_27a )
% 5.55/5.80 & ? [V244e7: $i] :
% 5.55/5.80 ( ( mem @ V244e7 @ A_27a )
% 5.55/5.80 & ? [V245e8: $i] :
% 5.55/5.80 ( ( mem @ V245e8 @ A_27a )
% 5.55/5.80 & ? [V246e9: $i] :
% 5.55/5.80 ( ( mem @ V246e9 @ A_27a )
% 5.55/5.80 & ? [V247e10: $i] :
% 5.55/5.80 ( ( mem @ V247e10 @ A_27a )
% 5.55/5.80 & ? [V248e11: $i] :
% 5.55/5.80 ( ( mem @ V248e11 @ A_27a )
% 5.55/5.80 & ? [V249e12: $i] :
% 5.55/5.80 ( ( mem @ V249e12 @ A_27a )
% 5.55/5.80 & ? [V250e13: $i] :
% 5.55/5.80 ( ( mem @ V250e13 @ A_27a )
% 5.55/5.80 & ? [V251e14: $i] :
% 5.55/5.80 ( ( mem @ V251e14 @ A_27a )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V238e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V239e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V240e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V241e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V242e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V243e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V244e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V245e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V246e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V247e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V248e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V249e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V250e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V251e14 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V252l_27: $i] :
% 5.55/5.80 ( ( mem @ V252l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V253e1: $i] :
% 5.55/5.80 ( ( mem @ V253e1 @ A_27a )
% 5.55/5.80 & ? [V254e2: $i] :
% 5.55/5.80 ( ( mem @ V254e2 @ A_27a )
% 5.55/5.80 & ? [V255e3: $i] :
% 5.55/5.80 ( ( mem @ V255e3 @ A_27a )
% 5.55/5.80 & ? [V256e4: $i] :
% 5.55/5.80 ( ( mem @ V256e4 @ A_27a )
% 5.55/5.80 & ? [V257e5: $i] :
% 5.55/5.80 ( ( mem @ V257e5 @ A_27a )
% 5.55/5.80 & ? [V258e6: $i] :
% 5.55/5.80 ( ( mem @ V258e6 @ A_27a )
% 5.55/5.80 & ? [V259e7: $i] :
% 5.55/5.80 ( ( mem @ V259e7 @ A_27a )
% 5.55/5.80 & ? [V260e8: $i] :
% 5.55/5.80 ( ( mem @ V260e8 @ A_27a )
% 5.55/5.80 & ? [V261e9: $i] :
% 5.55/5.80 ( ( mem @ V261e9 @ A_27a )
% 5.55/5.80 & ? [V262e10: $i] :
% 5.55/5.80 ( ( mem @ V262e10 @ A_27a )
% 5.55/5.80 & ? [V263e11: $i] :
% 5.55/5.80 ( ( mem @ V263e11 @ A_27a )
% 5.55/5.80 & ? [V264e12: $i] :
% 5.55/5.80 ( ( mem @ V264e12 @ A_27a )
% 5.55/5.80 & ? [V265e13: $i] :
% 5.55/5.80 ( ( mem @ V265e13 @ A_27a )
% 5.55/5.80 & ? [V266e14: $i] :
% 5.55/5.80 ( ( mem @ V266e14 @ A_27a )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V253e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V254e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V255e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V256e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V257e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V258e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V259e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V260e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V261e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V262e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V263e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V264e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V265e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V266e14 ) @ V252l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.80 <=> ? [V267l_27: $i] :
% 5.55/5.80 ( ( mem @ V267l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V268e1: $i] :
% 5.55/5.80 ( ( mem @ V268e1 @ A_27a )
% 5.55/5.80 & ? [V269e2: $i] :
% 5.55/5.80 ( ( mem @ V269e2 @ A_27a )
% 5.55/5.80 & ? [V270e3: $i] :
% 5.55/5.80 ( ( mem @ V270e3 @ A_27a )
% 5.55/5.80 & ? [V271e4: $i] :
% 5.55/5.80 ( ( mem @ V271e4 @ A_27a )
% 5.55/5.80 & ? [V272e5: $i] :
% 5.55/5.80 ( ( mem @ V272e5 @ A_27a )
% 5.55/5.80 & ? [V273e6: $i] :
% 5.55/5.80 ( ( mem @ V273e6 @ A_27a )
% 5.55/5.80 & ? [V274e7: $i] :
% 5.55/5.80 ( ( mem @ V274e7 @ A_27a )
% 5.55/5.80 & ? [V275e8: $i] :
% 5.55/5.80 ( ( mem @ V275e8 @ A_27a )
% 5.55/5.80 & ? [V276e9: $i] :
% 5.55/5.80 ( ( mem @ V276e9 @ A_27a )
% 5.55/5.80 & ? [V277e10: $i] :
% 5.55/5.80 ( ( mem @ V277e10 @ A_27a )
% 5.55/5.80 & ? [V278e11: $i] :
% 5.55/5.80 ( ( mem @ V278e11 @ A_27a )
% 5.55/5.80 & ? [V279e12: $i] :
% 5.55/5.80 ( ( mem @ V279e12 @ A_27a )
% 5.55/5.80 & ? [V280e13: $i] :
% 5.55/5.80 ( ( mem @ V280e13 @ A_27a )
% 5.55/5.80 & ? [V281e14: $i] :
% 5.55/5.80 ( ( mem @ V281e14 @ A_27a )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V268e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V269e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V270e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V271e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V272e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V273e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V274e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V275e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V276e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V277e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V278e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V279e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V280e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V281e14 ) @ V267l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V282l_27: $i] :
% 5.55/5.80 ( ( mem @ V282l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V283e1: $i] :
% 5.55/5.80 ( ( mem @ V283e1 @ A_27a )
% 5.55/5.80 & ? [V284e2: $i] :
% 5.55/5.80 ( ( mem @ V284e2 @ A_27a )
% 5.55/5.80 & ? [V285e3: $i] :
% 5.55/5.80 ( ( mem @ V285e3 @ A_27a )
% 5.55/5.80 & ? [V286e4: $i] :
% 5.55/5.80 ( ( mem @ V286e4 @ A_27a )
% 5.55/5.80 & ? [V287e5: $i] :
% 5.55/5.80 ( ( mem @ V287e5 @ A_27a )
% 5.55/5.80 & ? [V288e6: $i] :
% 5.55/5.80 ( ( mem @ V288e6 @ A_27a )
% 5.55/5.80 & ? [V289e7: $i] :
% 5.55/5.80 ( ( mem @ V289e7 @ A_27a )
% 5.55/5.80 & ? [V290e8: $i] :
% 5.55/5.80 ( ( mem @ V290e8 @ A_27a )
% 5.55/5.80 & ? [V291e9: $i] :
% 5.55/5.80 ( ( mem @ V291e9 @ A_27a )
% 5.55/5.80 & ? [V292e10: $i] :
% 5.55/5.80 ( ( mem @ V292e10 @ A_27a )
% 5.55/5.80 & ? [V293e11: $i] :
% 5.55/5.80 ( ( mem @ V293e11 @ A_27a )
% 5.55/5.80 & ? [V294e12: $i] :
% 5.55/5.80 ( ( mem @ V294e12 @ A_27a )
% 5.55/5.80 & ? [V295e13: $i] :
% 5.55/5.80 ( ( mem @ V295e13 @ A_27a )
% 5.55/5.80 & ? [V296e14: $i] :
% 5.55/5.80 ( ( mem @ V296e14 @ A_27a )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V283e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V284e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V285e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V286e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V287e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V288e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V289e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V290e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V291e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V292e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V293e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V294e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V295e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V296e14 ) @ V282l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.80 <=> ? [V297l_27: $i] :
% 5.55/5.80 ( ( mem @ V297l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V298e1: $i] :
% 5.55/5.80 ( ( mem @ V298e1 @ A_27a )
% 5.55/5.80 & ? [V299e2: $i] :
% 5.55/5.80 ( ( mem @ V299e2 @ A_27a )
% 5.55/5.80 & ? [V300e3: $i] :
% 5.55/5.80 ( ( mem @ V300e3 @ A_27a )
% 5.55/5.80 & ? [V301e4: $i] :
% 5.55/5.80 ( ( mem @ V301e4 @ A_27a )
% 5.55/5.80 & ? [V302e5: $i] :
% 5.55/5.80 ( ( mem @ V302e5 @ A_27a )
% 5.55/5.80 & ? [V303e6: $i] :
% 5.55/5.80 ( ( mem @ V303e6 @ A_27a )
% 5.55/5.80 & ? [V304e7: $i] :
% 5.55/5.80 ( ( mem @ V304e7 @ A_27a )
% 5.55/5.80 & ? [V305e8: $i] :
% 5.55/5.80 ( ( mem @ V305e8 @ A_27a )
% 5.55/5.80 & ? [V306e9: $i] :
% 5.55/5.80 ( ( mem @ V306e9 @ A_27a )
% 5.55/5.80 & ? [V307e10: $i] :
% 5.55/5.80 ( ( mem @ V307e10 @ A_27a )
% 5.55/5.80 & ? [V308e11: $i] :
% 5.55/5.80 ( ( mem @ V308e11 @ A_27a )
% 5.55/5.80 & ? [V309e12: $i] :
% 5.55/5.80 ( ( mem @ V309e12 @ A_27a )
% 5.55/5.80 & ? [V310e13: $i] :
% 5.55/5.80 ( ( mem @ V310e13 @ A_27a )
% 5.55/5.80 & ? [V311e14: $i] :
% 5.55/5.80 ( ( mem @ V311e14 @ A_27a )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V298e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V299e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V300e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V301e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V302e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V303e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V304e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V305e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V306e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V307e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V308e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V309e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V310e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V311e14 ) @ V297l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V312l_27: $i] :
% 5.55/5.80 ( ( mem @ V312l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V313e1: $i] :
% 5.55/5.80 ( ( mem @ V313e1 @ A_27a )
% 5.55/5.80 & ? [V314e2: $i] :
% 5.55/5.80 ( ( mem @ V314e2 @ A_27a )
% 5.55/5.80 & ? [V315e3: $i] :
% 5.55/5.80 ( ( mem @ V315e3 @ A_27a )
% 5.55/5.80 & ? [V316e4: $i] :
% 5.55/5.80 ( ( mem @ V316e4 @ A_27a )
% 5.55/5.80 & ? [V317e5: $i] :
% 5.55/5.80 ( ( mem @ V317e5 @ A_27a )
% 5.55/5.80 & ? [V318e6: $i] :
% 5.55/5.80 ( ( mem @ V318e6 @ A_27a )
% 5.55/5.80 & ? [V319e7: $i] :
% 5.55/5.80 ( ( mem @ V319e7 @ A_27a )
% 5.55/5.80 & ? [V320e8: $i] :
% 5.55/5.80 ( ( mem @ V320e8 @ A_27a )
% 5.55/5.80 & ? [V321e9: $i] :
% 5.55/5.80 ( ( mem @ V321e9 @ A_27a )
% 5.55/5.80 & ? [V322e10: $i] :
% 5.55/5.80 ( ( mem @ V322e10 @ A_27a )
% 5.55/5.80 & ? [V323e11: $i] :
% 5.55/5.80 ( ( mem @ V323e11 @ A_27a )
% 5.55/5.80 & ? [V324e12: $i] :
% 5.55/5.80 ( ( mem @ V324e12 @ A_27a )
% 5.55/5.80 & ? [V325e13: $i] :
% 5.55/5.80 ( ( mem @ V325e13 @ A_27a )
% 5.55/5.80 & ? [V326e14: $i] :
% 5.55/5.80 ( ( mem @ V326e14 @ A_27a )
% 5.55/5.80 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V312l_27 ) ) )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V313e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V314e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V315e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V316e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V317e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V318e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V319e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V320e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V321e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V322e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V323e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V324e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V325e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V326e14 ) @ V312l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.80 <=> ? [V327l_27: $i] :
% 5.55/5.80 ( ( mem @ V327l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V328e1: $i] :
% 5.55/5.80 ( ( mem @ V328e1 @ A_27a )
% 5.55/5.80 & ? [V329e2: $i] :
% 5.55/5.80 ( ( mem @ V329e2 @ A_27a )
% 5.55/5.80 & ? [V330e3: $i] :
% 5.55/5.80 ( ( mem @ V330e3 @ A_27a )
% 5.55/5.80 & ? [V331e4: $i] :
% 5.55/5.80 ( ( mem @ V331e4 @ A_27a )
% 5.55/5.80 & ? [V332e5: $i] :
% 5.55/5.80 ( ( mem @ V332e5 @ A_27a )
% 5.55/5.80 & ? [V333e6: $i] :
% 5.55/5.80 ( ( mem @ V333e6 @ A_27a )
% 5.55/5.80 & ? [V334e7: $i] :
% 5.55/5.80 ( ( mem @ V334e7 @ A_27a )
% 5.55/5.80 & ? [V335e8: $i] :
% 5.55/5.80 ( ( mem @ V335e8 @ A_27a )
% 5.55/5.80 & ? [V336e9: $i] :
% 5.55/5.80 ( ( mem @ V336e9 @ A_27a )
% 5.55/5.80 & ? [V337e10: $i] :
% 5.55/5.80 ( ( mem @ V337e10 @ A_27a )
% 5.55/5.80 & ? [V338e11: $i] :
% 5.55/5.80 ( ( mem @ V338e11 @ A_27a )
% 5.55/5.80 & ? [V339e12: $i] :
% 5.55/5.80 ( ( mem @ V339e12 @ A_27a )
% 5.55/5.80 & ? [V340e13: $i] :
% 5.55/5.80 ( ( mem @ V340e13 @ A_27a )
% 5.55/5.80 & ? [V341e14: $i] :
% 5.55/5.80 ( ( mem @ V341e14 @ A_27a )
% 5.55/5.80 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V327l_27 ) ) )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V328e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V329e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V330e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V331e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V332e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V333e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V334e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V335e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V336e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V337e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V338e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V339e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V340e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V341e14 ) @ V327l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V342l_27: $i] :
% 5.55/5.80 ( ( mem @ V342l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V343e1: $i] :
% 5.55/5.80 ( ( mem @ V343e1 @ A_27a )
% 5.55/5.80 & ? [V344e2: $i] :
% 5.55/5.80 ( ( mem @ V344e2 @ A_27a )
% 5.55/5.80 & ? [V345e3: $i] :
% 5.55/5.80 ( ( mem @ V345e3 @ A_27a )
% 5.55/5.80 & ? [V346e4: $i] :
% 5.55/5.80 ( ( mem @ V346e4 @ A_27a )
% 5.55/5.80 & ? [V347e5: $i] :
% 5.55/5.80 ( ( mem @ V347e5 @ A_27a )
% 5.55/5.80 & ? [V348e6: $i] :
% 5.55/5.80 ( ( mem @ V348e6 @ A_27a )
% 5.55/5.80 & ? [V349e7: $i] :
% 5.55/5.80 ( ( mem @ V349e7 @ A_27a )
% 5.55/5.80 & ? [V350e8: $i] :
% 5.55/5.80 ( ( mem @ V350e8 @ A_27a )
% 5.55/5.80 & ? [V351e9: $i] :
% 5.55/5.80 ( ( mem @ V351e9 @ A_27a )
% 5.55/5.80 & ? [V352e10: $i] :
% 5.55/5.80 ( ( mem @ V352e10 @ A_27a )
% 5.55/5.80 & ? [V353e11: $i] :
% 5.55/5.80 ( ( mem @ V353e11 @ A_27a )
% 5.55/5.80 & ? [V354e12: $i] :
% 5.55/5.80 ( ( mem @ V354e12 @ A_27a )
% 5.55/5.80 & ? [V355e13: $i] :
% 5.55/5.80 ( ( mem @ V355e13 @ A_27a )
% 5.55/5.80 & ? [V356e14: $i] :
% 5.55/5.80 ( ( mem @ V356e14 @ A_27a )
% 5.55/5.80 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V342l_27 ) ) )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V343e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V344e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V345e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V346e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V347e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V348e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V349e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V350e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V351e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V352e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V353e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V354e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V355e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V356e14 ) @ V342l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.80 <=> ? [V357l_27: $i] :
% 5.55/5.80 ( ( mem @ V357l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V358e1: $i] :
% 5.55/5.80 ( ( mem @ V358e1 @ A_27a )
% 5.55/5.80 & ? [V359e2: $i] :
% 5.55/5.80 ( ( mem @ V359e2 @ A_27a )
% 5.55/5.80 & ? [V360e3: $i] :
% 5.55/5.80 ( ( mem @ V360e3 @ A_27a )
% 5.55/5.80 & ? [V361e4: $i] :
% 5.55/5.80 ( ( mem @ V361e4 @ A_27a )
% 5.55/5.80 & ? [V362e5: $i] :
% 5.55/5.80 ( ( mem @ V362e5 @ A_27a )
% 5.55/5.80 & ? [V363e6: $i] :
% 5.55/5.80 ( ( mem @ V363e6 @ A_27a )
% 5.55/5.80 & ? [V364e7: $i] :
% 5.55/5.80 ( ( mem @ V364e7 @ A_27a )
% 5.55/5.80 & ? [V365e8: $i] :
% 5.55/5.80 ( ( mem @ V365e8 @ A_27a )
% 5.55/5.80 & ? [V366e9: $i] :
% 5.55/5.80 ( ( mem @ V366e9 @ A_27a )
% 5.55/5.80 & ? [V367e10: $i] :
% 5.55/5.80 ( ( mem @ V367e10 @ A_27a )
% 5.55/5.80 & ? [V368e11: $i] :
% 5.55/5.80 ( ( mem @ V368e11 @ A_27a )
% 5.55/5.80 & ? [V369e12: $i] :
% 5.55/5.80 ( ( mem @ V369e12 @ A_27a )
% 5.55/5.80 & ? [V370e13: $i] :
% 5.55/5.80 ( ( mem @ V370e13 @ A_27a )
% 5.55/5.80 & ? [V371e14: $i] :
% 5.55/5.80 ( ( mem @ V371e14 @ A_27a )
% 5.55/5.80 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V357l_27 ) ) )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V358e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V359e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V360e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V361e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V362e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V363e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V364e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V365e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V366e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V367e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V368e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V369e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V370e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V371e14 ) @ V357l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.80 <=> ? [V372l_27: $i] :
% 5.55/5.80 ( ( mem @ V372l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V373e1: $i] :
% 5.55/5.80 ( ( mem @ V373e1 @ A_27a )
% 5.55/5.80 & ? [V374e2: $i] :
% 5.55/5.80 ( ( mem @ V374e2 @ A_27a )
% 5.55/5.80 & ? [V375e3: $i] :
% 5.55/5.80 ( ( mem @ V375e3 @ A_27a )
% 5.55/5.80 & ? [V376e4: $i] :
% 5.55/5.80 ( ( mem @ V376e4 @ A_27a )
% 5.55/5.80 & ? [V377e5: $i] :
% 5.55/5.80 ( ( mem @ V377e5 @ A_27a )
% 5.55/5.80 & ? [V378e6: $i] :
% 5.55/5.80 ( ( mem @ V378e6 @ A_27a )
% 5.55/5.80 & ? [V379e7: $i] :
% 5.55/5.80 ( ( mem @ V379e7 @ A_27a )
% 5.55/5.80 & ? [V380e8: $i] :
% 5.55/5.80 ( ( mem @ V380e8 @ A_27a )
% 5.55/5.80 & ? [V381e9: $i] :
% 5.55/5.80 ( ( mem @ V381e9 @ A_27a )
% 5.55/5.80 & ? [V382e10: $i] :
% 5.55/5.80 ( ( mem @ V382e10 @ A_27a )
% 5.55/5.80 & ? [V383e11: $i] :
% 5.55/5.80 ( ( mem @ V383e11 @ A_27a )
% 5.55/5.80 & ? [V384e12: $i] :
% 5.55/5.80 ( ( mem @ V384e12 @ A_27a )
% 5.55/5.80 & ? [V385e13: $i] :
% 5.55/5.80 ( ( mem @ V385e13 @ A_27a )
% 5.55/5.80 & ? [V386e14: $i] :
% 5.55/5.80 ( ( mem @ V386e14 @ A_27a )
% 5.55/5.80 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V372l_27 ) )
% 5.55/5.80 = V1x )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V373e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V374e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V375e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V376e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V377e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V378e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V379e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V380e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V381e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V382e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V383e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V384e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V385e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V386e14 ) @ V372l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V387l_27: $i] :
% 5.55/5.80 ( ( mem @ V387l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V388e1: $i] :
% 5.55/5.80 ( ( mem @ V388e1 @ A_27a )
% 5.55/5.80 & ? [V389e2: $i] :
% 5.55/5.80 ( ( mem @ V389e2 @ A_27a )
% 5.55/5.80 & ? [V390e3: $i] :
% 5.55/5.80 ( ( mem @ V390e3 @ A_27a )
% 5.55/5.80 & ? [V391e4: $i] :
% 5.55/5.80 ( ( mem @ V391e4 @ A_27a )
% 5.55/5.80 & ? [V392e5: $i] :
% 5.55/5.80 ( ( mem @ V392e5 @ A_27a )
% 5.55/5.80 & ? [V393e6: $i] :
% 5.55/5.80 ( ( mem @ V393e6 @ A_27a )
% 5.55/5.80 & ? [V394e7: $i] :
% 5.55/5.80 ( ( mem @ V394e7 @ A_27a )
% 5.55/5.80 & ? [V395e8: $i] :
% 5.55/5.80 ( ( mem @ V395e8 @ A_27a )
% 5.55/5.80 & ? [V396e9: $i] :
% 5.55/5.80 ( ( mem @ V396e9 @ A_27a )
% 5.55/5.80 & ? [V397e10: $i] :
% 5.55/5.80 ( ( mem @ V397e10 @ A_27a )
% 5.55/5.80 & ? [V398e11: $i] :
% 5.55/5.80 ( ( mem @ V398e11 @ A_27a )
% 5.55/5.80 & ? [V399e12: $i] :
% 5.55/5.80 ( ( mem @ V399e12 @ A_27a )
% 5.55/5.80 & ? [V400e13: $i] :
% 5.55/5.80 ( ( mem @ V400e13 @ A_27a )
% 5.55/5.80 & ? [V401e14: $i] :
% 5.55/5.80 ( ( mem @ V401e14 @ A_27a )
% 5.55/5.80 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V387l_27 ) )
% 5.55/5.80 = V1x )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V388e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V389e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V390e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V391e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V392e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V393e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V394e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V395e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V396e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V397e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V398e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V399e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V400e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V401e14 ) @ V387l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.80 <=> ? [V402l_27: $i] :
% 5.55/5.80 ( ( mem @ V402l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V403e1: $i] :
% 5.55/5.80 ( ( mem @ V403e1 @ A_27a )
% 5.55/5.80 & ? [V404e2: $i] :
% 5.55/5.80 ( ( mem @ V404e2 @ A_27a )
% 5.55/5.80 & ? [V405e3: $i] :
% 5.55/5.80 ( ( mem @ V405e3 @ A_27a )
% 5.55/5.80 & ? [V406e4: $i] :
% 5.55/5.80 ( ( mem @ V406e4 @ A_27a )
% 5.55/5.80 & ? [V407e5: $i] :
% 5.55/5.80 ( ( mem @ V407e5 @ A_27a )
% 5.55/5.80 & ? [V408e6: $i] :
% 5.55/5.80 ( ( mem @ V408e6 @ A_27a )
% 5.55/5.80 & ? [V409e7: $i] :
% 5.55/5.80 ( ( mem @ V409e7 @ A_27a )
% 5.55/5.80 & ? [V410e8: $i] :
% 5.55/5.80 ( ( mem @ V410e8 @ A_27a )
% 5.55/5.80 & ? [V411e9: $i] :
% 5.55/5.80 ( ( mem @ V411e9 @ A_27a )
% 5.55/5.80 & ? [V412e10: $i] :
% 5.55/5.80 ( ( mem @ V412e10 @ A_27a )
% 5.55/5.80 & ? [V413e11: $i] :
% 5.55/5.80 ( ( mem @ V413e11 @ A_27a )
% 5.55/5.80 & ? [V414e12: $i] :
% 5.55/5.80 ( ( mem @ V414e12 @ A_27a )
% 5.55/5.80 & ? [V415e13: $i] :
% 5.55/5.80 ( ( mem @ V415e13 @ A_27a )
% 5.55/5.80 & ? [V416e14: $i] :
% 5.55/5.80 ( ( mem @ V416e14 @ A_27a )
% 5.55/5.80 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V402l_27 ) )
% 5.55/5.80 = V1x )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V403e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V404e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V405e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V406e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V407e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V408e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V409e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V410e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V411e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V412e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V413e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V414e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V415e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V416e14 ) @ V402l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V417l_27: $i] :
% 5.55/5.80 ( ( mem @ V417l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V418e1: $i] :
% 5.55/5.80 ( ( mem @ V418e1 @ A_27a )
% 5.55/5.80 & ? [V419e2: $i] :
% 5.55/5.80 ( ( mem @ V419e2 @ A_27a )
% 5.55/5.80 & ? [V420e3: $i] :
% 5.55/5.80 ( ( mem @ V420e3 @ A_27a )
% 5.55/5.80 & ? [V421e4: $i] :
% 5.55/5.80 ( ( mem @ V421e4 @ A_27a )
% 5.55/5.80 & ? [V422e5: $i] :
% 5.55/5.80 ( ( mem @ V422e5 @ A_27a )
% 5.55/5.80 & ? [V423e6: $i] :
% 5.55/5.80 ( ( mem @ V423e6 @ A_27a )
% 5.55/5.80 & ? [V424e7: $i] :
% 5.55/5.80 ( ( mem @ V424e7 @ A_27a )
% 5.55/5.80 & ? [V425e8: $i] :
% 5.55/5.80 ( ( mem @ V425e8 @ A_27a )
% 5.55/5.80 & ? [V426e9: $i] :
% 5.55/5.80 ( ( mem @ V426e9 @ A_27a )
% 5.55/5.80 & ? [V427e10: $i] :
% 5.55/5.80 ( ( mem @ V427e10 @ A_27a )
% 5.55/5.80 & ? [V428e11: $i] :
% 5.55/5.80 ( ( mem @ V428e11 @ A_27a )
% 5.55/5.80 & ? [V429e12: $i] :
% 5.55/5.80 ( ( mem @ V429e12 @ A_27a )
% 5.55/5.80 & ? [V430e13: $i] :
% 5.55/5.80 ( ( mem @ V430e13 @ A_27a )
% 5.55/5.80 & ? [V431e14: $i] :
% 5.55/5.80 ( ( mem @ V431e14 @ A_27a )
% 5.55/5.80 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V417l_27 ) )
% 5.55/5.80 = V1x )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V418e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V419e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V420e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V421e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V422e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V423e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V424e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V425e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V426e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V427e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V428e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V429e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V430e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V431e14 ) @ V417l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.80 <=> ? [V432e1: $i] :
% 5.55/5.80 ( ( mem @ V432e1 @ A_27a )
% 5.55/5.80 & ? [V433e2: $i] :
% 5.55/5.80 ( ( mem @ V433e2 @ A_27a )
% 5.55/5.80 & ? [V434e3: $i] :
% 5.55/5.80 ( ( mem @ V434e3 @ A_27a )
% 5.55/5.80 & ? [V435e4: $i] :
% 5.55/5.80 ( ( mem @ V435e4 @ A_27a )
% 5.55/5.80 & ? [V436e5: $i] :
% 5.55/5.80 ( ( mem @ V436e5 @ A_27a )
% 5.55/5.80 & ? [V437e6: $i] :
% 5.55/5.80 ( ( mem @ V437e6 @ A_27a )
% 5.55/5.80 & ? [V438e7: $i] :
% 5.55/5.80 ( ( mem @ V438e7 @ A_27a )
% 5.55/5.80 & ? [V439e8: $i] :
% 5.55/5.80 ( ( mem @ V439e8 @ A_27a )
% 5.55/5.80 & ? [V440e9: $i] :
% 5.55/5.80 ( ( mem @ V440e9 @ A_27a )
% 5.55/5.80 & ? [V441e10: $i] :
% 5.55/5.80 ( ( mem @ V441e10 @ A_27a )
% 5.55/5.80 & ? [V442e11: $i] :
% 5.55/5.80 ( ( mem @ V442e11 @ A_27a )
% 5.55/5.80 & ? [V443e12: $i] :
% 5.55/5.80 ( ( mem @ V443e12 @ A_27a )
% 5.55/5.80 & ? [V444e13: $i] :
% 5.55/5.80 ( ( mem @ V444e13 @ A_27a )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V432e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V433e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V434e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V435e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V436e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V437e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V438e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V439e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V440e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V441e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V442e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V443e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V444e13 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V445e1: $i] :
% 5.55/5.80 ( ( mem @ V445e1 @ A_27a )
% 5.55/5.80 & ? [V446e2: $i] :
% 5.55/5.80 ( ( mem @ V446e2 @ A_27a )
% 5.55/5.80 & ? [V447e3: $i] :
% 5.55/5.80 ( ( mem @ V447e3 @ A_27a )
% 5.55/5.80 & ? [V448e4: $i] :
% 5.55/5.80 ( ( mem @ V448e4 @ A_27a )
% 5.55/5.80 & ? [V449e5: $i] :
% 5.55/5.80 ( ( mem @ V449e5 @ A_27a )
% 5.55/5.80 & ? [V450e6: $i] :
% 5.55/5.80 ( ( mem @ V450e6 @ A_27a )
% 5.55/5.80 & ? [V451e7: $i] :
% 5.55/5.80 ( ( mem @ V451e7 @ A_27a )
% 5.55/5.80 & ? [V452e8: $i] :
% 5.55/5.80 ( ( mem @ V452e8 @ A_27a )
% 5.55/5.80 & ? [V453e9: $i] :
% 5.55/5.80 ( ( mem @ V453e9 @ A_27a )
% 5.55/5.80 & ? [V454e10: $i] :
% 5.55/5.80 ( ( mem @ V454e10 @ A_27a )
% 5.55/5.80 & ? [V455e11: $i] :
% 5.55/5.80 ( ( mem @ V455e11 @ A_27a )
% 5.55/5.80 & ? [V456e12: $i] :
% 5.55/5.80 ( ( mem @ V456e12 @ A_27a )
% 5.55/5.80 & ? [V457e13: $i] :
% 5.55/5.80 ( ( mem @ V457e13 @ A_27a )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V445e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V446e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V447e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V448e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V449e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V450e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V451e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V452e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V453e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V454e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V455e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V456e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V457e13 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V458l_27: $i] :
% 5.55/5.80 ( ( mem @ V458l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V459e1: $i] :
% 5.55/5.80 ( ( mem @ V459e1 @ A_27a )
% 5.55/5.80 & ? [V460e2: $i] :
% 5.55/5.80 ( ( mem @ V460e2 @ A_27a )
% 5.55/5.80 & ? [V461e3: $i] :
% 5.55/5.80 ( ( mem @ V461e3 @ A_27a )
% 5.55/5.80 & ? [V462e4: $i] :
% 5.55/5.80 ( ( mem @ V462e4 @ A_27a )
% 5.55/5.80 & ? [V463e5: $i] :
% 5.55/5.80 ( ( mem @ V463e5 @ A_27a )
% 5.55/5.80 & ? [V464e6: $i] :
% 5.55/5.80 ( ( mem @ V464e6 @ A_27a )
% 5.55/5.80 & ? [V465e7: $i] :
% 5.55/5.80 ( ( mem @ V465e7 @ A_27a )
% 5.55/5.80 & ? [V466e8: $i] :
% 5.55/5.80 ( ( mem @ V466e8 @ A_27a )
% 5.55/5.80 & ? [V467e9: $i] :
% 5.55/5.80 ( ( mem @ V467e9 @ A_27a )
% 5.55/5.80 & ? [V468e10: $i] :
% 5.55/5.80 ( ( mem @ V468e10 @ A_27a )
% 5.55/5.80 & ? [V469e11: $i] :
% 5.55/5.80 ( ( mem @ V469e11 @ A_27a )
% 5.55/5.80 & ? [V470e12: $i] :
% 5.55/5.80 ( ( mem @ V470e12 @ A_27a )
% 5.55/5.80 & ? [V471e13: $i] :
% 5.55/5.80 ( ( mem @ V471e13 @ A_27a )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V459e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V460e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V461e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V462e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V463e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V464e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V465e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V466e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V467e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V468e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V469e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V470e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V471e13 ) @ V458l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.80 <=> ? [V472l_27: $i] :
% 5.55/5.80 ( ( mem @ V472l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V473e1: $i] :
% 5.55/5.80 ( ( mem @ V473e1 @ A_27a )
% 5.55/5.80 & ? [V474e2: $i] :
% 5.55/5.80 ( ( mem @ V474e2 @ A_27a )
% 5.55/5.80 & ? [V475e3: $i] :
% 5.55/5.80 ( ( mem @ V475e3 @ A_27a )
% 5.55/5.80 & ? [V476e4: $i] :
% 5.55/5.80 ( ( mem @ V476e4 @ A_27a )
% 5.55/5.80 & ? [V477e5: $i] :
% 5.55/5.80 ( ( mem @ V477e5 @ A_27a )
% 5.55/5.80 & ? [V478e6: $i] :
% 5.55/5.80 ( ( mem @ V478e6 @ A_27a )
% 5.55/5.80 & ? [V479e7: $i] :
% 5.55/5.80 ( ( mem @ V479e7 @ A_27a )
% 5.55/5.80 & ? [V480e8: $i] :
% 5.55/5.80 ( ( mem @ V480e8 @ A_27a )
% 5.55/5.80 & ? [V481e9: $i] :
% 5.55/5.80 ( ( mem @ V481e9 @ A_27a )
% 5.55/5.80 & ? [V482e10: $i] :
% 5.55/5.80 ( ( mem @ V482e10 @ A_27a )
% 5.55/5.80 & ? [V483e11: $i] :
% 5.55/5.80 ( ( mem @ V483e11 @ A_27a )
% 5.55/5.80 & ? [V484e12: $i] :
% 5.55/5.80 ( ( mem @ V484e12 @ A_27a )
% 5.55/5.80 & ? [V485e13: $i] :
% 5.55/5.80 ( ( mem @ V485e13 @ A_27a )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V473e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V474e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V475e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V476e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V477e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V478e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V479e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V480e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V481e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V482e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V483e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V484e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V485e13 ) @ V472l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V486l_27: $i] :
% 5.55/5.80 ( ( mem @ V486l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V487e1: $i] :
% 5.55/5.80 ( ( mem @ V487e1 @ A_27a )
% 5.55/5.80 & ? [V488e2: $i] :
% 5.55/5.80 ( ( mem @ V488e2 @ A_27a )
% 5.55/5.80 & ? [V489e3: $i] :
% 5.55/5.80 ( ( mem @ V489e3 @ A_27a )
% 5.55/5.80 & ? [V490e4: $i] :
% 5.55/5.80 ( ( mem @ V490e4 @ A_27a )
% 5.55/5.80 & ? [V491e5: $i] :
% 5.55/5.80 ( ( mem @ V491e5 @ A_27a )
% 5.55/5.80 & ? [V492e6: $i] :
% 5.55/5.80 ( ( mem @ V492e6 @ A_27a )
% 5.55/5.80 & ? [V493e7: $i] :
% 5.55/5.80 ( ( mem @ V493e7 @ A_27a )
% 5.55/5.80 & ? [V494e8: $i] :
% 5.55/5.80 ( ( mem @ V494e8 @ A_27a )
% 5.55/5.80 & ? [V495e9: $i] :
% 5.55/5.80 ( ( mem @ V495e9 @ A_27a )
% 5.55/5.80 & ? [V496e10: $i] :
% 5.55/5.80 ( ( mem @ V496e10 @ A_27a )
% 5.55/5.80 & ? [V497e11: $i] :
% 5.55/5.80 ( ( mem @ V497e11 @ A_27a )
% 5.55/5.80 & ? [V498e12: $i] :
% 5.55/5.80 ( ( mem @ V498e12 @ A_27a )
% 5.55/5.80 & ? [V499e13: $i] :
% 5.55/5.80 ( ( mem @ V499e13 @ A_27a )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V487e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V488e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V489e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V490e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V491e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V492e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V493e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V494e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V495e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V496e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V497e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V498e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V499e13 ) @ V486l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.80 <=> ? [V500l_27: $i] :
% 5.55/5.80 ( ( mem @ V500l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V501e1: $i] :
% 5.55/5.80 ( ( mem @ V501e1 @ A_27a )
% 5.55/5.80 & ? [V502e2: $i] :
% 5.55/5.80 ( ( mem @ V502e2 @ A_27a )
% 5.55/5.80 & ? [V503e3: $i] :
% 5.55/5.80 ( ( mem @ V503e3 @ A_27a )
% 5.55/5.80 & ? [V504e4: $i] :
% 5.55/5.80 ( ( mem @ V504e4 @ A_27a )
% 5.55/5.80 & ? [V505e5: $i] :
% 5.55/5.80 ( ( mem @ V505e5 @ A_27a )
% 5.55/5.80 & ? [V506e6: $i] :
% 5.55/5.80 ( ( mem @ V506e6 @ A_27a )
% 5.55/5.80 & ? [V507e7: $i] :
% 5.55/5.80 ( ( mem @ V507e7 @ A_27a )
% 5.55/5.80 & ? [V508e8: $i] :
% 5.55/5.80 ( ( mem @ V508e8 @ A_27a )
% 5.55/5.80 & ? [V509e9: $i] :
% 5.55/5.80 ( ( mem @ V509e9 @ A_27a )
% 5.55/5.80 & ? [V510e10: $i] :
% 5.55/5.80 ( ( mem @ V510e10 @ A_27a )
% 5.55/5.80 & ? [V511e11: $i] :
% 5.55/5.80 ( ( mem @ V511e11 @ A_27a )
% 5.55/5.80 & ? [V512e12: $i] :
% 5.55/5.80 ( ( mem @ V512e12 @ A_27a )
% 5.55/5.80 & ? [V513e13: $i] :
% 5.55/5.80 ( ( mem @ V513e13 @ A_27a )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V501e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V502e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V503e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V504e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V505e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V506e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V507e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V508e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V509e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V510e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V511e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V512e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V513e13 ) @ V500l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V514l_27: $i] :
% 5.55/5.80 ( ( mem @ V514l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V515e1: $i] :
% 5.55/5.80 ( ( mem @ V515e1 @ A_27a )
% 5.55/5.80 & ? [V516e2: $i] :
% 5.55/5.80 ( ( mem @ V516e2 @ A_27a )
% 5.55/5.80 & ? [V517e3: $i] :
% 5.55/5.80 ( ( mem @ V517e3 @ A_27a )
% 5.55/5.80 & ? [V518e4: $i] :
% 5.55/5.80 ( ( mem @ V518e4 @ A_27a )
% 5.55/5.80 & ? [V519e5: $i] :
% 5.55/5.80 ( ( mem @ V519e5 @ A_27a )
% 5.55/5.80 & ? [V520e6: $i] :
% 5.55/5.80 ( ( mem @ V520e6 @ A_27a )
% 5.55/5.80 & ? [V521e7: $i] :
% 5.55/5.80 ( ( mem @ V521e7 @ A_27a )
% 5.55/5.80 & ? [V522e8: $i] :
% 5.55/5.80 ( ( mem @ V522e8 @ A_27a )
% 5.55/5.80 & ? [V523e9: $i] :
% 5.55/5.80 ( ( mem @ V523e9 @ A_27a )
% 5.55/5.80 & ? [V524e10: $i] :
% 5.55/5.80 ( ( mem @ V524e10 @ A_27a )
% 5.55/5.80 & ? [V525e11: $i] :
% 5.55/5.80 ( ( mem @ V525e11 @ A_27a )
% 5.55/5.80 & ? [V526e12: $i] :
% 5.55/5.80 ( ( mem @ V526e12 @ A_27a )
% 5.55/5.80 & ? [V527e13: $i] :
% 5.55/5.80 ( ( mem @ V527e13 @ A_27a )
% 5.55/5.80 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V514l_27 ) ) )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V515e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V516e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V517e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V518e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V519e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V520e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V521e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V522e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V523e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V524e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V525e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V526e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V527e13 ) @ V514l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.80 <=> ? [V528l_27: $i] :
% 5.55/5.80 ( ( mem @ V528l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V529e1: $i] :
% 5.55/5.80 ( ( mem @ V529e1 @ A_27a )
% 5.55/5.80 & ? [V530e2: $i] :
% 5.55/5.80 ( ( mem @ V530e2 @ A_27a )
% 5.55/5.80 & ? [V531e3: $i] :
% 5.55/5.80 ( ( mem @ V531e3 @ A_27a )
% 5.55/5.80 & ? [V532e4: $i] :
% 5.55/5.80 ( ( mem @ V532e4 @ A_27a )
% 5.55/5.80 & ? [V533e5: $i] :
% 5.55/5.80 ( ( mem @ V533e5 @ A_27a )
% 5.55/5.80 & ? [V534e6: $i] :
% 5.55/5.80 ( ( mem @ V534e6 @ A_27a )
% 5.55/5.80 & ? [V535e7: $i] :
% 5.55/5.80 ( ( mem @ V535e7 @ A_27a )
% 5.55/5.80 & ? [V536e8: $i] :
% 5.55/5.80 ( ( mem @ V536e8 @ A_27a )
% 5.55/5.80 & ? [V537e9: $i] :
% 5.55/5.80 ( ( mem @ V537e9 @ A_27a )
% 5.55/5.80 & ? [V538e10: $i] :
% 5.55/5.80 ( ( mem @ V538e10 @ A_27a )
% 5.55/5.80 & ? [V539e11: $i] :
% 5.55/5.80 ( ( mem @ V539e11 @ A_27a )
% 5.55/5.80 & ? [V540e12: $i] :
% 5.55/5.80 ( ( mem @ V540e12 @ A_27a )
% 5.55/5.80 & ? [V541e13: $i] :
% 5.55/5.80 ( ( mem @ V541e13 @ A_27a )
% 5.55/5.80 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V528l_27 ) ) )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V529e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V530e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V531e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V532e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V533e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V534e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V535e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V536e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V537e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V538e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V539e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V540e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V541e13 ) @ V528l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V542l_27: $i] :
% 5.55/5.80 ( ( mem @ V542l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V543e1: $i] :
% 5.55/5.80 ( ( mem @ V543e1 @ A_27a )
% 5.55/5.80 & ? [V544e2: $i] :
% 5.55/5.80 ( ( mem @ V544e2 @ A_27a )
% 5.55/5.80 & ? [V545e3: $i] :
% 5.55/5.80 ( ( mem @ V545e3 @ A_27a )
% 5.55/5.80 & ? [V546e4: $i] :
% 5.55/5.80 ( ( mem @ V546e4 @ A_27a )
% 5.55/5.80 & ? [V547e5: $i] :
% 5.55/5.80 ( ( mem @ V547e5 @ A_27a )
% 5.55/5.80 & ? [V548e6: $i] :
% 5.55/5.80 ( ( mem @ V548e6 @ A_27a )
% 5.55/5.80 & ? [V549e7: $i] :
% 5.55/5.80 ( ( mem @ V549e7 @ A_27a )
% 5.55/5.80 & ? [V550e8: $i] :
% 5.55/5.80 ( ( mem @ V550e8 @ A_27a )
% 5.55/5.80 & ? [V551e9: $i] :
% 5.55/5.80 ( ( mem @ V551e9 @ A_27a )
% 5.55/5.80 & ? [V552e10: $i] :
% 5.55/5.80 ( ( mem @ V552e10 @ A_27a )
% 5.55/5.80 & ? [V553e11: $i] :
% 5.55/5.80 ( ( mem @ V553e11 @ A_27a )
% 5.55/5.80 & ? [V554e12: $i] :
% 5.55/5.80 ( ( mem @ V554e12 @ A_27a )
% 5.55/5.80 & ? [V555e13: $i] :
% 5.55/5.80 ( ( mem @ V555e13 @ A_27a )
% 5.55/5.80 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V542l_27 ) ) )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V543e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V544e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V545e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V546e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V547e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V548e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V549e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V550e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V551e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V552e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V553e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V554e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V555e13 ) @ V542l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.80 <=> ? [V556l_27: $i] :
% 5.55/5.80 ( ( mem @ V556l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V557e1: $i] :
% 5.55/5.80 ( ( mem @ V557e1 @ A_27a )
% 5.55/5.80 & ? [V558e2: $i] :
% 5.55/5.80 ( ( mem @ V558e2 @ A_27a )
% 5.55/5.80 & ? [V559e3: $i] :
% 5.55/5.80 ( ( mem @ V559e3 @ A_27a )
% 5.55/5.80 & ? [V560e4: $i] :
% 5.55/5.80 ( ( mem @ V560e4 @ A_27a )
% 5.55/5.80 & ? [V561e5: $i] :
% 5.55/5.80 ( ( mem @ V561e5 @ A_27a )
% 5.55/5.80 & ? [V562e6: $i] :
% 5.55/5.80 ( ( mem @ V562e6 @ A_27a )
% 5.55/5.80 & ? [V563e7: $i] :
% 5.55/5.80 ( ( mem @ V563e7 @ A_27a )
% 5.55/5.80 & ? [V564e8: $i] :
% 5.55/5.80 ( ( mem @ V564e8 @ A_27a )
% 5.55/5.80 & ? [V565e9: $i] :
% 5.55/5.80 ( ( mem @ V565e9 @ A_27a )
% 5.55/5.80 & ? [V566e10: $i] :
% 5.55/5.80 ( ( mem @ V566e10 @ A_27a )
% 5.55/5.80 & ? [V567e11: $i] :
% 5.55/5.80 ( ( mem @ V567e11 @ A_27a )
% 5.55/5.80 & ? [V568e12: $i] :
% 5.55/5.80 ( ( mem @ V568e12 @ A_27a )
% 5.55/5.80 & ? [V569e13: $i] :
% 5.55/5.80 ( ( mem @ V569e13 @ A_27a )
% 5.55/5.80 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V556l_27 ) ) )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V557e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V558e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V559e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V560e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V561e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V562e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V563e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V564e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V565e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V566e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V567e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V568e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V569e13 ) @ V556l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.80 <=> ? [V570l_27: $i] :
% 5.55/5.80 ( ( mem @ V570l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V571e1: $i] :
% 5.55/5.80 ( ( mem @ V571e1 @ A_27a )
% 5.55/5.80 & ? [V572e2: $i] :
% 5.55/5.80 ( ( mem @ V572e2 @ A_27a )
% 5.55/5.80 & ? [V573e3: $i] :
% 5.55/5.80 ( ( mem @ V573e3 @ A_27a )
% 5.55/5.80 & ? [V574e4: $i] :
% 5.55/5.80 ( ( mem @ V574e4 @ A_27a )
% 5.55/5.80 & ? [V575e5: $i] :
% 5.55/5.80 ( ( mem @ V575e5 @ A_27a )
% 5.55/5.80 & ? [V576e6: $i] :
% 5.55/5.80 ( ( mem @ V576e6 @ A_27a )
% 5.55/5.80 & ? [V577e7: $i] :
% 5.55/5.80 ( ( mem @ V577e7 @ A_27a )
% 5.55/5.80 & ? [V578e8: $i] :
% 5.55/5.80 ( ( mem @ V578e8 @ A_27a )
% 5.55/5.80 & ? [V579e9: $i] :
% 5.55/5.80 ( ( mem @ V579e9 @ A_27a )
% 5.55/5.80 & ? [V580e10: $i] :
% 5.55/5.80 ( ( mem @ V580e10 @ A_27a )
% 5.55/5.80 & ? [V581e11: $i] :
% 5.55/5.80 ( ( mem @ V581e11 @ A_27a )
% 5.55/5.80 & ? [V582e12: $i] :
% 5.55/5.80 ( ( mem @ V582e12 @ A_27a )
% 5.55/5.80 & ? [V583e13: $i] :
% 5.55/5.80 ( ( mem @ V583e13 @ A_27a )
% 5.55/5.80 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V570l_27 ) )
% 5.55/5.80 = V1x )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V571e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V572e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V573e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V574e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V575e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V576e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V577e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V578e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V579e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V580e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V581e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V582e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V583e13 ) @ V570l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V584l_27: $i] :
% 5.55/5.80 ( ( mem @ V584l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V585e1: $i] :
% 5.55/5.80 ( ( mem @ V585e1 @ A_27a )
% 5.55/5.80 & ? [V586e2: $i] :
% 5.55/5.80 ( ( mem @ V586e2 @ A_27a )
% 5.55/5.80 & ? [V587e3: $i] :
% 5.55/5.80 ( ( mem @ V587e3 @ A_27a )
% 5.55/5.80 & ? [V588e4: $i] :
% 5.55/5.80 ( ( mem @ V588e4 @ A_27a )
% 5.55/5.80 & ? [V589e5: $i] :
% 5.55/5.80 ( ( mem @ V589e5 @ A_27a )
% 5.55/5.80 & ? [V590e6: $i] :
% 5.55/5.80 ( ( mem @ V590e6 @ A_27a )
% 5.55/5.80 & ? [V591e7: $i] :
% 5.55/5.80 ( ( mem @ V591e7 @ A_27a )
% 5.55/5.80 & ? [V592e8: $i] :
% 5.55/5.80 ( ( mem @ V592e8 @ A_27a )
% 5.55/5.80 & ? [V593e9: $i] :
% 5.55/5.80 ( ( mem @ V593e9 @ A_27a )
% 5.55/5.80 & ? [V594e10: $i] :
% 5.55/5.80 ( ( mem @ V594e10 @ A_27a )
% 5.55/5.80 & ? [V595e11: $i] :
% 5.55/5.80 ( ( mem @ V595e11 @ A_27a )
% 5.55/5.80 & ? [V596e12: $i] :
% 5.55/5.80 ( ( mem @ V596e12 @ A_27a )
% 5.55/5.80 & ? [V597e13: $i] :
% 5.55/5.80 ( ( mem @ V597e13 @ A_27a )
% 5.55/5.80 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V584l_27 ) )
% 5.55/5.80 = V1x )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V585e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V586e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V587e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V588e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V589e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V590e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V591e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V592e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V593e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V594e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V595e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V596e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V597e13 ) @ V584l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.80 <=> ? [V598l_27: $i] :
% 5.55/5.80 ( ( mem @ V598l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V599e1: $i] :
% 5.55/5.80 ( ( mem @ V599e1 @ A_27a )
% 5.55/5.80 & ? [V600e2: $i] :
% 5.55/5.80 ( ( mem @ V600e2 @ A_27a )
% 5.55/5.80 & ? [V601e3: $i] :
% 5.55/5.80 ( ( mem @ V601e3 @ A_27a )
% 5.55/5.80 & ? [V602e4: $i] :
% 5.55/5.80 ( ( mem @ V602e4 @ A_27a )
% 5.55/5.80 & ? [V603e5: $i] :
% 5.55/5.80 ( ( mem @ V603e5 @ A_27a )
% 5.55/5.80 & ? [V604e6: $i] :
% 5.55/5.80 ( ( mem @ V604e6 @ A_27a )
% 5.55/5.80 & ? [V605e7: $i] :
% 5.55/5.80 ( ( mem @ V605e7 @ A_27a )
% 5.55/5.80 & ? [V606e8: $i] :
% 5.55/5.80 ( ( mem @ V606e8 @ A_27a )
% 5.55/5.80 & ? [V607e9: $i] :
% 5.55/5.80 ( ( mem @ V607e9 @ A_27a )
% 5.55/5.80 & ? [V608e10: $i] :
% 5.55/5.80 ( ( mem @ V608e10 @ A_27a )
% 5.55/5.80 & ? [V609e11: $i] :
% 5.55/5.80 ( ( mem @ V609e11 @ A_27a )
% 5.55/5.80 & ? [V610e12: $i] :
% 5.55/5.80 ( ( mem @ V610e12 @ A_27a )
% 5.55/5.80 & ? [V611e13: $i] :
% 5.55/5.80 ( ( mem @ V611e13 @ A_27a )
% 5.55/5.80 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V598l_27 ) )
% 5.55/5.80 = V1x )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V599e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V600e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V601e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V602e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V603e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V604e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V605e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V606e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V607e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V608e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V609e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V610e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V611e13 ) @ V598l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V612l_27: $i] :
% 5.55/5.80 ( ( mem @ V612l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V613e1: $i] :
% 5.55/5.80 ( ( mem @ V613e1 @ A_27a )
% 5.55/5.80 & ? [V614e2: $i] :
% 5.55/5.80 ( ( mem @ V614e2 @ A_27a )
% 5.55/5.80 & ? [V615e3: $i] :
% 5.55/5.80 ( ( mem @ V615e3 @ A_27a )
% 5.55/5.80 & ? [V616e4: $i] :
% 5.55/5.80 ( ( mem @ V616e4 @ A_27a )
% 5.55/5.80 & ? [V617e5: $i] :
% 5.55/5.80 ( ( mem @ V617e5 @ A_27a )
% 5.55/5.80 & ? [V618e6: $i] :
% 5.55/5.80 ( ( mem @ V618e6 @ A_27a )
% 5.55/5.80 & ? [V619e7: $i] :
% 5.55/5.80 ( ( mem @ V619e7 @ A_27a )
% 5.55/5.80 & ? [V620e8: $i] :
% 5.55/5.80 ( ( mem @ V620e8 @ A_27a )
% 5.55/5.80 & ? [V621e9: $i] :
% 5.55/5.80 ( ( mem @ V621e9 @ A_27a )
% 5.55/5.80 & ? [V622e10: $i] :
% 5.55/5.80 ( ( mem @ V622e10 @ A_27a )
% 5.55/5.80 & ? [V623e11: $i] :
% 5.55/5.80 ( ( mem @ V623e11 @ A_27a )
% 5.55/5.80 & ? [V624e12: $i] :
% 5.55/5.80 ( ( mem @ V624e12 @ A_27a )
% 5.55/5.80 & ? [V625e13: $i] :
% 5.55/5.80 ( ( mem @ V625e13 @ A_27a )
% 5.55/5.80 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V612l_27 ) )
% 5.55/5.80 = V1x )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V613e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V614e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V615e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V616e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V617e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V618e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V619e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V620e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V621e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V622e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V623e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V624e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V625e13 ) @ V612l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.80 <=> ? [V626e1: $i] :
% 5.55/5.80 ( ( mem @ V626e1 @ A_27a )
% 5.55/5.80 & ? [V627e2: $i] :
% 5.55/5.80 ( ( mem @ V627e2 @ A_27a )
% 5.55/5.80 & ? [V628e3: $i] :
% 5.55/5.80 ( ( mem @ V628e3 @ A_27a )
% 5.55/5.80 & ? [V629e4: $i] :
% 5.55/5.80 ( ( mem @ V629e4 @ A_27a )
% 5.55/5.80 & ? [V630e5: $i] :
% 5.55/5.80 ( ( mem @ V630e5 @ A_27a )
% 5.55/5.80 & ? [V631e6: $i] :
% 5.55/5.80 ( ( mem @ V631e6 @ A_27a )
% 5.55/5.80 & ? [V632e7: $i] :
% 5.55/5.80 ( ( mem @ V632e7 @ A_27a )
% 5.55/5.80 & ? [V633e8: $i] :
% 5.55/5.80 ( ( mem @ V633e8 @ A_27a )
% 5.55/5.80 & ? [V634e9: $i] :
% 5.55/5.80 ( ( mem @ V634e9 @ A_27a )
% 5.55/5.80 & ? [V635e10: $i] :
% 5.55/5.80 ( ( mem @ V635e10 @ A_27a )
% 5.55/5.80 & ? [V636e11: $i] :
% 5.55/5.80 ( ( mem @ V636e11 @ A_27a )
% 5.55/5.80 & ? [V637e12: $i] :
% 5.55/5.80 ( ( mem @ V637e12 @ A_27a )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V626e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V627e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V628e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V629e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V630e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V631e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V632e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V633e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V634e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V635e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V636e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V637e12 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V638e1: $i] :
% 5.55/5.80 ( ( mem @ V638e1 @ A_27a )
% 5.55/5.80 & ? [V639e2: $i] :
% 5.55/5.80 ( ( mem @ V639e2 @ A_27a )
% 5.55/5.80 & ? [V640e3: $i] :
% 5.55/5.80 ( ( mem @ V640e3 @ A_27a )
% 5.55/5.80 & ? [V641e4: $i] :
% 5.55/5.80 ( ( mem @ V641e4 @ A_27a )
% 5.55/5.80 & ? [V642e5: $i] :
% 5.55/5.80 ( ( mem @ V642e5 @ A_27a )
% 5.55/5.80 & ? [V643e6: $i] :
% 5.55/5.80 ( ( mem @ V643e6 @ A_27a )
% 5.55/5.80 & ? [V644e7: $i] :
% 5.55/5.80 ( ( mem @ V644e7 @ A_27a )
% 5.55/5.80 & ? [V645e8: $i] :
% 5.55/5.80 ( ( mem @ V645e8 @ A_27a )
% 5.55/5.80 & ? [V646e9: $i] :
% 5.55/5.80 ( ( mem @ V646e9 @ A_27a )
% 5.55/5.80 & ? [V647e10: $i] :
% 5.55/5.80 ( ( mem @ V647e10 @ A_27a )
% 5.55/5.80 & ? [V648e11: $i] :
% 5.55/5.80 ( ( mem @ V648e11 @ A_27a )
% 5.55/5.80 & ? [V649e12: $i] :
% 5.55/5.80 ( ( mem @ V649e12 @ A_27a )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V638e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V639e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V640e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V641e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V642e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V643e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V644e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V645e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V646e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V647e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V648e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V649e12 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V650l_27: $i] :
% 5.55/5.80 ( ( mem @ V650l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V651e1: $i] :
% 5.55/5.80 ( ( mem @ V651e1 @ A_27a )
% 5.55/5.80 & ? [V652e2: $i] :
% 5.55/5.80 ( ( mem @ V652e2 @ A_27a )
% 5.55/5.80 & ? [V653e3: $i] :
% 5.55/5.80 ( ( mem @ V653e3 @ A_27a )
% 5.55/5.80 & ? [V654e4: $i] :
% 5.55/5.80 ( ( mem @ V654e4 @ A_27a )
% 5.55/5.80 & ? [V655e5: $i] :
% 5.55/5.80 ( ( mem @ V655e5 @ A_27a )
% 5.55/5.80 & ? [V656e6: $i] :
% 5.55/5.80 ( ( mem @ V656e6 @ A_27a )
% 5.55/5.80 & ? [V657e7: $i] :
% 5.55/5.80 ( ( mem @ V657e7 @ A_27a )
% 5.55/5.80 & ? [V658e8: $i] :
% 5.55/5.80 ( ( mem @ V658e8 @ A_27a )
% 5.55/5.80 & ? [V659e9: $i] :
% 5.55/5.80 ( ( mem @ V659e9 @ A_27a )
% 5.55/5.80 & ? [V660e10: $i] :
% 5.55/5.80 ( ( mem @ V660e10 @ A_27a )
% 5.55/5.80 & ? [V661e11: $i] :
% 5.55/5.80 ( ( mem @ V661e11 @ A_27a )
% 5.55/5.80 & ? [V662e12: $i] :
% 5.55/5.80 ( ( mem @ V662e12 @ A_27a )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V651e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V652e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V653e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V654e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V655e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V656e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V657e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V658e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V659e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V660e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V661e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V662e12 ) @ V650l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.80 <=> ? [V663l_27: $i] :
% 5.55/5.80 ( ( mem @ V663l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V664e1: $i] :
% 5.55/5.80 ( ( mem @ V664e1 @ A_27a )
% 5.55/5.80 & ? [V665e2: $i] :
% 5.55/5.80 ( ( mem @ V665e2 @ A_27a )
% 5.55/5.80 & ? [V666e3: $i] :
% 5.55/5.80 ( ( mem @ V666e3 @ A_27a )
% 5.55/5.80 & ? [V667e4: $i] :
% 5.55/5.80 ( ( mem @ V667e4 @ A_27a )
% 5.55/5.80 & ? [V668e5: $i] :
% 5.55/5.80 ( ( mem @ V668e5 @ A_27a )
% 5.55/5.80 & ? [V669e6: $i] :
% 5.55/5.80 ( ( mem @ V669e6 @ A_27a )
% 5.55/5.80 & ? [V670e7: $i] :
% 5.55/5.80 ( ( mem @ V670e7 @ A_27a )
% 5.55/5.80 & ? [V671e8: $i] :
% 5.55/5.80 ( ( mem @ V671e8 @ A_27a )
% 5.55/5.80 & ? [V672e9: $i] :
% 5.55/5.80 ( ( mem @ V672e9 @ A_27a )
% 5.55/5.80 & ? [V673e10: $i] :
% 5.55/5.80 ( ( mem @ V673e10 @ A_27a )
% 5.55/5.80 & ? [V674e11: $i] :
% 5.55/5.80 ( ( mem @ V674e11 @ A_27a )
% 5.55/5.80 & ? [V675e12: $i] :
% 5.55/5.80 ( ( mem @ V675e12 @ A_27a )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V664e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V665e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V666e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V667e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V668e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V669e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V670e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V671e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V672e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V673e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V674e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V675e12 ) @ V663l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V676l_27: $i] :
% 5.55/5.80 ( ( mem @ V676l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V677e1: $i] :
% 5.55/5.80 ( ( mem @ V677e1 @ A_27a )
% 5.55/5.80 & ? [V678e2: $i] :
% 5.55/5.80 ( ( mem @ V678e2 @ A_27a )
% 5.55/5.80 & ? [V679e3: $i] :
% 5.55/5.80 ( ( mem @ V679e3 @ A_27a )
% 5.55/5.80 & ? [V680e4: $i] :
% 5.55/5.80 ( ( mem @ V680e4 @ A_27a )
% 5.55/5.80 & ? [V681e5: $i] :
% 5.55/5.80 ( ( mem @ V681e5 @ A_27a )
% 5.55/5.80 & ? [V682e6: $i] :
% 5.55/5.80 ( ( mem @ V682e6 @ A_27a )
% 5.55/5.80 & ? [V683e7: $i] :
% 5.55/5.80 ( ( mem @ V683e7 @ A_27a )
% 5.55/5.80 & ? [V684e8: $i] :
% 5.55/5.80 ( ( mem @ V684e8 @ A_27a )
% 5.55/5.80 & ? [V685e9: $i] :
% 5.55/5.80 ( ( mem @ V685e9 @ A_27a )
% 5.55/5.80 & ? [V686e10: $i] :
% 5.55/5.80 ( ( mem @ V686e10 @ A_27a )
% 5.55/5.80 & ? [V687e11: $i] :
% 5.55/5.80 ( ( mem @ V687e11 @ A_27a )
% 5.55/5.80 & ? [V688e12: $i] :
% 5.55/5.80 ( ( mem @ V688e12 @ A_27a )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V677e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V678e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V679e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V680e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V681e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V682e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V683e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V684e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V685e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V686e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V687e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V688e12 ) @ V676l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.80 <=> ? [V689l_27: $i] :
% 5.55/5.80 ( ( mem @ V689l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V690e1: $i] :
% 5.55/5.80 ( ( mem @ V690e1 @ A_27a )
% 5.55/5.80 & ? [V691e2: $i] :
% 5.55/5.80 ( ( mem @ V691e2 @ A_27a )
% 5.55/5.80 & ? [V692e3: $i] :
% 5.55/5.80 ( ( mem @ V692e3 @ A_27a )
% 5.55/5.80 & ? [V693e4: $i] :
% 5.55/5.80 ( ( mem @ V693e4 @ A_27a )
% 5.55/5.80 & ? [V694e5: $i] :
% 5.55/5.80 ( ( mem @ V694e5 @ A_27a )
% 5.55/5.80 & ? [V695e6: $i] :
% 5.55/5.80 ( ( mem @ V695e6 @ A_27a )
% 5.55/5.80 & ? [V696e7: $i] :
% 5.55/5.80 ( ( mem @ V696e7 @ A_27a )
% 5.55/5.80 & ? [V697e8: $i] :
% 5.55/5.80 ( ( mem @ V697e8 @ A_27a )
% 5.55/5.80 & ? [V698e9: $i] :
% 5.55/5.80 ( ( mem @ V698e9 @ A_27a )
% 5.55/5.80 & ? [V699e10: $i] :
% 5.55/5.80 ( ( mem @ V699e10 @ A_27a )
% 5.55/5.80 & ? [V700e11: $i] :
% 5.55/5.80 ( ( mem @ V700e11 @ A_27a )
% 5.55/5.80 & ? [V701e12: $i] :
% 5.55/5.80 ( ( mem @ V701e12 @ A_27a )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V690e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V691e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V692e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V693e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V694e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V695e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V696e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V697e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V698e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V699e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V700e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V701e12 ) @ V689l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V702l_27: $i] :
% 5.55/5.80 ( ( mem @ V702l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V703e1: $i] :
% 5.55/5.80 ( ( mem @ V703e1 @ A_27a )
% 5.55/5.80 & ? [V704e2: $i] :
% 5.55/5.80 ( ( mem @ V704e2 @ A_27a )
% 5.55/5.80 & ? [V705e3: $i] :
% 5.55/5.80 ( ( mem @ V705e3 @ A_27a )
% 5.55/5.80 & ? [V706e4: $i] :
% 5.55/5.80 ( ( mem @ V706e4 @ A_27a )
% 5.55/5.80 & ? [V707e5: $i] :
% 5.55/5.80 ( ( mem @ V707e5 @ A_27a )
% 5.55/5.80 & ? [V708e6: $i] :
% 5.55/5.80 ( ( mem @ V708e6 @ A_27a )
% 5.55/5.80 & ? [V709e7: $i] :
% 5.55/5.80 ( ( mem @ V709e7 @ A_27a )
% 5.55/5.80 & ? [V710e8: $i] :
% 5.55/5.80 ( ( mem @ V710e8 @ A_27a )
% 5.55/5.80 & ? [V711e9: $i] :
% 5.55/5.80 ( ( mem @ V711e9 @ A_27a )
% 5.55/5.80 & ? [V712e10: $i] :
% 5.55/5.80 ( ( mem @ V712e10 @ A_27a )
% 5.55/5.80 & ? [V713e11: $i] :
% 5.55/5.80 ( ( mem @ V713e11 @ A_27a )
% 5.55/5.80 & ? [V714e12: $i] :
% 5.55/5.80 ( ( mem @ V714e12 @ A_27a )
% 5.55/5.80 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V702l_27 ) ) )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V703e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V704e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V705e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V706e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V707e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V708e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V709e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V710e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V711e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V712e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V713e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V714e12 ) @ V702l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.80 <=> ? [V715l_27: $i] :
% 5.55/5.80 ( ( mem @ V715l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V716e1: $i] :
% 5.55/5.80 ( ( mem @ V716e1 @ A_27a )
% 5.55/5.80 & ? [V717e2: $i] :
% 5.55/5.80 ( ( mem @ V717e2 @ A_27a )
% 5.55/5.80 & ? [V718e3: $i] :
% 5.55/5.80 ( ( mem @ V718e3 @ A_27a )
% 5.55/5.80 & ? [V719e4: $i] :
% 5.55/5.80 ( ( mem @ V719e4 @ A_27a )
% 5.55/5.80 & ? [V720e5: $i] :
% 5.55/5.80 ( ( mem @ V720e5 @ A_27a )
% 5.55/5.80 & ? [V721e6: $i] :
% 5.55/5.80 ( ( mem @ V721e6 @ A_27a )
% 5.55/5.80 & ? [V722e7: $i] :
% 5.55/5.80 ( ( mem @ V722e7 @ A_27a )
% 5.55/5.80 & ? [V723e8: $i] :
% 5.55/5.80 ( ( mem @ V723e8 @ A_27a )
% 5.55/5.80 & ? [V724e9: $i] :
% 5.55/5.80 ( ( mem @ V724e9 @ A_27a )
% 5.55/5.80 & ? [V725e10: $i] :
% 5.55/5.80 ( ( mem @ V725e10 @ A_27a )
% 5.55/5.80 & ? [V726e11: $i] :
% 5.55/5.80 ( ( mem @ V726e11 @ A_27a )
% 5.55/5.80 & ? [V727e12: $i] :
% 5.55/5.80 ( ( mem @ V727e12 @ A_27a )
% 5.55/5.80 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V715l_27 ) ) )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V716e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V717e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V718e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V719e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V720e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V721e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V722e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V723e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V724e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V725e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V726e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V727e12 ) @ V715l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V728l_27: $i] :
% 5.55/5.80 ( ( mem @ V728l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V729e1: $i] :
% 5.55/5.80 ( ( mem @ V729e1 @ A_27a )
% 5.55/5.80 & ? [V730e2: $i] :
% 5.55/5.80 ( ( mem @ V730e2 @ A_27a )
% 5.55/5.80 & ? [V731e3: $i] :
% 5.55/5.80 ( ( mem @ V731e3 @ A_27a )
% 5.55/5.80 & ? [V732e4: $i] :
% 5.55/5.80 ( ( mem @ V732e4 @ A_27a )
% 5.55/5.80 & ? [V733e5: $i] :
% 5.55/5.80 ( ( mem @ V733e5 @ A_27a )
% 5.55/5.80 & ? [V734e6: $i] :
% 5.55/5.80 ( ( mem @ V734e6 @ A_27a )
% 5.55/5.80 & ? [V735e7: $i] :
% 5.55/5.80 ( ( mem @ V735e7 @ A_27a )
% 5.55/5.80 & ? [V736e8: $i] :
% 5.55/5.80 ( ( mem @ V736e8 @ A_27a )
% 5.55/5.80 & ? [V737e9: $i] :
% 5.55/5.80 ( ( mem @ V737e9 @ A_27a )
% 5.55/5.80 & ? [V738e10: $i] :
% 5.55/5.80 ( ( mem @ V738e10 @ A_27a )
% 5.55/5.80 & ? [V739e11: $i] :
% 5.55/5.80 ( ( mem @ V739e11 @ A_27a )
% 5.55/5.80 & ? [V740e12: $i] :
% 5.55/5.80 ( ( mem @ V740e12 @ A_27a )
% 5.55/5.80 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V728l_27 ) ) )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V729e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V730e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V731e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V732e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V733e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V734e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V735e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V736e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V737e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V738e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V739e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V740e12 ) @ V728l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.80 <=> ? [V741l_27: $i] :
% 5.55/5.80 ( ( mem @ V741l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V742e1: $i] :
% 5.55/5.80 ( ( mem @ V742e1 @ A_27a )
% 5.55/5.80 & ? [V743e2: $i] :
% 5.55/5.80 ( ( mem @ V743e2 @ A_27a )
% 5.55/5.80 & ? [V744e3: $i] :
% 5.55/5.80 ( ( mem @ V744e3 @ A_27a )
% 5.55/5.80 & ? [V745e4: $i] :
% 5.55/5.80 ( ( mem @ V745e4 @ A_27a )
% 5.55/5.80 & ? [V746e5: $i] :
% 5.55/5.80 ( ( mem @ V746e5 @ A_27a )
% 5.55/5.80 & ? [V747e6: $i] :
% 5.55/5.80 ( ( mem @ V747e6 @ A_27a )
% 5.55/5.80 & ? [V748e7: $i] :
% 5.55/5.80 ( ( mem @ V748e7 @ A_27a )
% 5.55/5.80 & ? [V749e8: $i] :
% 5.55/5.80 ( ( mem @ V749e8 @ A_27a )
% 5.55/5.80 & ? [V750e9: $i] :
% 5.55/5.80 ( ( mem @ V750e9 @ A_27a )
% 5.55/5.80 & ? [V751e10: $i] :
% 5.55/5.80 ( ( mem @ V751e10 @ A_27a )
% 5.55/5.80 & ? [V752e11: $i] :
% 5.55/5.80 ( ( mem @ V752e11 @ A_27a )
% 5.55/5.80 & ? [V753e12: $i] :
% 5.55/5.80 ( ( mem @ V753e12 @ A_27a )
% 5.55/5.80 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V741l_27 ) ) )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V742e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V743e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V744e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V745e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V746e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V747e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V748e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V749e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V750e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V751e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V752e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V753e12 ) @ V741l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.80 <=> ? [V754l_27: $i] :
% 5.55/5.80 ( ( mem @ V754l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V755e1: $i] :
% 5.55/5.80 ( ( mem @ V755e1 @ A_27a )
% 5.55/5.80 & ? [V756e2: $i] :
% 5.55/5.80 ( ( mem @ V756e2 @ A_27a )
% 5.55/5.80 & ? [V757e3: $i] :
% 5.55/5.80 ( ( mem @ V757e3 @ A_27a )
% 5.55/5.80 & ? [V758e4: $i] :
% 5.55/5.80 ( ( mem @ V758e4 @ A_27a )
% 5.55/5.80 & ? [V759e5: $i] :
% 5.55/5.80 ( ( mem @ V759e5 @ A_27a )
% 5.55/5.80 & ? [V760e6: $i] :
% 5.55/5.80 ( ( mem @ V760e6 @ A_27a )
% 5.55/5.80 & ? [V761e7: $i] :
% 5.55/5.80 ( ( mem @ V761e7 @ A_27a )
% 5.55/5.80 & ? [V762e8: $i] :
% 5.55/5.80 ( ( mem @ V762e8 @ A_27a )
% 5.55/5.80 & ? [V763e9: $i] :
% 5.55/5.80 ( ( mem @ V763e9 @ A_27a )
% 5.55/5.80 & ? [V764e10: $i] :
% 5.55/5.80 ( ( mem @ V764e10 @ A_27a )
% 5.55/5.80 & ? [V765e11: $i] :
% 5.55/5.80 ( ( mem @ V765e11 @ A_27a )
% 5.55/5.80 & ? [V766e12: $i] :
% 5.55/5.80 ( ( mem @ V766e12 @ A_27a )
% 5.55/5.80 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V754l_27 ) )
% 5.55/5.80 = V1x )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V755e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V756e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V757e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V758e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V759e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V760e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V761e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V762e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V763e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V764e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V765e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V766e12 ) @ V754l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V767l_27: $i] :
% 5.55/5.80 ( ( mem @ V767l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V768e1: $i] :
% 5.55/5.80 ( ( mem @ V768e1 @ A_27a )
% 5.55/5.80 & ? [V769e2: $i] :
% 5.55/5.80 ( ( mem @ V769e2 @ A_27a )
% 5.55/5.80 & ? [V770e3: $i] :
% 5.55/5.80 ( ( mem @ V770e3 @ A_27a )
% 5.55/5.80 & ? [V771e4: $i] :
% 5.55/5.80 ( ( mem @ V771e4 @ A_27a )
% 5.55/5.80 & ? [V772e5: $i] :
% 5.55/5.80 ( ( mem @ V772e5 @ A_27a )
% 5.55/5.80 & ? [V773e6: $i] :
% 5.55/5.80 ( ( mem @ V773e6 @ A_27a )
% 5.55/5.80 & ? [V774e7: $i] :
% 5.55/5.80 ( ( mem @ V774e7 @ A_27a )
% 5.55/5.80 & ? [V775e8: $i] :
% 5.55/5.80 ( ( mem @ V775e8 @ A_27a )
% 5.55/5.80 & ? [V776e9: $i] :
% 5.55/5.80 ( ( mem @ V776e9 @ A_27a )
% 5.55/5.80 & ? [V777e10: $i] :
% 5.55/5.80 ( ( mem @ V777e10 @ A_27a )
% 5.55/5.80 & ? [V778e11: $i] :
% 5.55/5.80 ( ( mem @ V778e11 @ A_27a )
% 5.55/5.80 & ? [V779e12: $i] :
% 5.55/5.80 ( ( mem @ V779e12 @ A_27a )
% 5.55/5.80 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V767l_27 ) )
% 5.55/5.80 = V1x )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V768e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V769e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V770e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V771e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V772e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V773e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V774e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V775e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V776e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V777e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V778e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V779e12 ) @ V767l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.80 <=> ? [V780l_27: $i] :
% 5.55/5.80 ( ( mem @ V780l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V781e1: $i] :
% 5.55/5.80 ( ( mem @ V781e1 @ A_27a )
% 5.55/5.80 & ? [V782e2: $i] :
% 5.55/5.80 ( ( mem @ V782e2 @ A_27a )
% 5.55/5.80 & ? [V783e3: $i] :
% 5.55/5.80 ( ( mem @ V783e3 @ A_27a )
% 5.55/5.80 & ? [V784e4: $i] :
% 5.55/5.80 ( ( mem @ V784e4 @ A_27a )
% 5.55/5.80 & ? [V785e5: $i] :
% 5.55/5.80 ( ( mem @ V785e5 @ A_27a )
% 5.55/5.80 & ? [V786e6: $i] :
% 5.55/5.80 ( ( mem @ V786e6 @ A_27a )
% 5.55/5.80 & ? [V787e7: $i] :
% 5.55/5.80 ( ( mem @ V787e7 @ A_27a )
% 5.55/5.80 & ? [V788e8: $i] :
% 5.55/5.80 ( ( mem @ V788e8 @ A_27a )
% 5.55/5.80 & ? [V789e9: $i] :
% 5.55/5.80 ( ( mem @ V789e9 @ A_27a )
% 5.55/5.80 & ? [V790e10: $i] :
% 5.55/5.80 ( ( mem @ V790e10 @ A_27a )
% 5.55/5.80 & ? [V791e11: $i] :
% 5.55/5.80 ( ( mem @ V791e11 @ A_27a )
% 5.55/5.80 & ? [V792e12: $i] :
% 5.55/5.80 ( ( mem @ V792e12 @ A_27a )
% 5.55/5.80 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V780l_27 ) )
% 5.55/5.80 = V1x )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V781e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V782e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V783e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V784e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V785e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V786e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V787e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V788e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V789e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V790e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V791e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V792e12 ) @ V780l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V793l_27: $i] :
% 5.55/5.80 ( ( mem @ V793l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V794e1: $i] :
% 5.55/5.80 ( ( mem @ V794e1 @ A_27a )
% 5.55/5.80 & ? [V795e2: $i] :
% 5.55/5.80 ( ( mem @ V795e2 @ A_27a )
% 5.55/5.80 & ? [V796e3: $i] :
% 5.55/5.80 ( ( mem @ V796e3 @ A_27a )
% 5.55/5.80 & ? [V797e4: $i] :
% 5.55/5.80 ( ( mem @ V797e4 @ A_27a )
% 5.55/5.80 & ? [V798e5: $i] :
% 5.55/5.80 ( ( mem @ V798e5 @ A_27a )
% 5.55/5.80 & ? [V799e6: $i] :
% 5.55/5.80 ( ( mem @ V799e6 @ A_27a )
% 5.55/5.80 & ? [V800e7: $i] :
% 5.55/5.80 ( ( mem @ V800e7 @ A_27a )
% 5.55/5.80 & ? [V801e8: $i] :
% 5.55/5.80 ( ( mem @ V801e8 @ A_27a )
% 5.55/5.80 & ? [V802e9: $i] :
% 5.55/5.80 ( ( mem @ V802e9 @ A_27a )
% 5.55/5.80 & ? [V803e10: $i] :
% 5.55/5.80 ( ( mem @ V803e10 @ A_27a )
% 5.55/5.80 & ? [V804e11: $i] :
% 5.55/5.80 ( ( mem @ V804e11 @ A_27a )
% 5.55/5.80 & ? [V805e12: $i] :
% 5.55/5.80 ( ( mem @ V805e12 @ A_27a )
% 5.55/5.80 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V793l_27 ) )
% 5.55/5.80 = V1x )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V794e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V795e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V796e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V797e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V798e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V799e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V800e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V801e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V802e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V803e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V804e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V805e12 ) @ V793l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.80 <=> ? [V806e1: $i] :
% 5.55/5.80 ( ( mem @ V806e1 @ A_27a )
% 5.55/5.80 & ? [V807e2: $i] :
% 5.55/5.80 ( ( mem @ V807e2 @ A_27a )
% 5.55/5.80 & ? [V808e3: $i] :
% 5.55/5.80 ( ( mem @ V808e3 @ A_27a )
% 5.55/5.80 & ? [V809e4: $i] :
% 5.55/5.80 ( ( mem @ V809e4 @ A_27a )
% 5.55/5.80 & ? [V810e5: $i] :
% 5.55/5.80 ( ( mem @ V810e5 @ A_27a )
% 5.55/5.80 & ? [V811e6: $i] :
% 5.55/5.80 ( ( mem @ V811e6 @ A_27a )
% 5.55/5.80 & ? [V812e7: $i] :
% 5.55/5.80 ( ( mem @ V812e7 @ A_27a )
% 5.55/5.80 & ? [V813e8: $i] :
% 5.55/5.80 ( ( mem @ V813e8 @ A_27a )
% 5.55/5.80 & ? [V814e9: $i] :
% 5.55/5.80 ( ( mem @ V814e9 @ A_27a )
% 5.55/5.80 & ? [V815e10: $i] :
% 5.55/5.80 ( ( mem @ V815e10 @ A_27a )
% 5.55/5.80 & ? [V816e11: $i] :
% 5.55/5.80 ( ( mem @ V816e11 @ A_27a )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V806e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V807e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V808e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V809e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V810e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V811e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V812e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V813e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V814e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V815e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V816e11 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V817e1: $i] :
% 5.55/5.80 ( ( mem @ V817e1 @ A_27a )
% 5.55/5.80 & ? [V818e2: $i] :
% 5.55/5.80 ( ( mem @ V818e2 @ A_27a )
% 5.55/5.80 & ? [V819e3: $i] :
% 5.55/5.80 ( ( mem @ V819e3 @ A_27a )
% 5.55/5.80 & ? [V820e4: $i] :
% 5.55/5.80 ( ( mem @ V820e4 @ A_27a )
% 5.55/5.80 & ? [V821e5: $i] :
% 5.55/5.80 ( ( mem @ V821e5 @ A_27a )
% 5.55/5.80 & ? [V822e6: $i] :
% 5.55/5.80 ( ( mem @ V822e6 @ A_27a )
% 5.55/5.80 & ? [V823e7: $i] :
% 5.55/5.80 ( ( mem @ V823e7 @ A_27a )
% 5.55/5.80 & ? [V824e8: $i] :
% 5.55/5.80 ( ( mem @ V824e8 @ A_27a )
% 5.55/5.80 & ? [V825e9: $i] :
% 5.55/5.80 ( ( mem @ V825e9 @ A_27a )
% 5.55/5.80 & ? [V826e10: $i] :
% 5.55/5.80 ( ( mem @ V826e10 @ A_27a )
% 5.55/5.80 & ? [V827e11: $i] :
% 5.55/5.80 ( ( mem @ V827e11 @ A_27a )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V817e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V818e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V819e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V820e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V821e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V822e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V823e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V824e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V825e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V826e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V827e11 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V828l_27: $i] :
% 5.55/5.80 ( ( mem @ V828l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V829e1: $i] :
% 5.55/5.80 ( ( mem @ V829e1 @ A_27a )
% 5.55/5.80 & ? [V830e2: $i] :
% 5.55/5.80 ( ( mem @ V830e2 @ A_27a )
% 5.55/5.80 & ? [V831e3: $i] :
% 5.55/5.80 ( ( mem @ V831e3 @ A_27a )
% 5.55/5.80 & ? [V832e4: $i] :
% 5.55/5.80 ( ( mem @ V832e4 @ A_27a )
% 5.55/5.80 & ? [V833e5: $i] :
% 5.55/5.80 ( ( mem @ V833e5 @ A_27a )
% 5.55/5.80 & ? [V834e6: $i] :
% 5.55/5.80 ( ( mem @ V834e6 @ A_27a )
% 5.55/5.80 & ? [V835e7: $i] :
% 5.55/5.80 ( ( mem @ V835e7 @ A_27a )
% 5.55/5.80 & ? [V836e8: $i] :
% 5.55/5.80 ( ( mem @ V836e8 @ A_27a )
% 5.55/5.80 & ? [V837e9: $i] :
% 5.55/5.80 ( ( mem @ V837e9 @ A_27a )
% 5.55/5.80 & ? [V838e10: $i] :
% 5.55/5.80 ( ( mem @ V838e10 @ A_27a )
% 5.55/5.80 & ? [V839e11: $i] :
% 5.55/5.80 ( ( mem @ V839e11 @ A_27a )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V829e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V830e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V831e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V832e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V833e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V834e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V835e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V836e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V837e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V838e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V839e11 ) @ V828l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.80 <=> ? [V840l_27: $i] :
% 5.55/5.80 ( ( mem @ V840l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V841e1: $i] :
% 5.55/5.80 ( ( mem @ V841e1 @ A_27a )
% 5.55/5.80 & ? [V842e2: $i] :
% 5.55/5.80 ( ( mem @ V842e2 @ A_27a )
% 5.55/5.80 & ? [V843e3: $i] :
% 5.55/5.80 ( ( mem @ V843e3 @ A_27a )
% 5.55/5.80 & ? [V844e4: $i] :
% 5.55/5.80 ( ( mem @ V844e4 @ A_27a )
% 5.55/5.80 & ? [V845e5: $i] :
% 5.55/5.80 ( ( mem @ V845e5 @ A_27a )
% 5.55/5.80 & ? [V846e6: $i] :
% 5.55/5.80 ( ( mem @ V846e6 @ A_27a )
% 5.55/5.80 & ? [V847e7: $i] :
% 5.55/5.80 ( ( mem @ V847e7 @ A_27a )
% 5.55/5.80 & ? [V848e8: $i] :
% 5.55/5.80 ( ( mem @ V848e8 @ A_27a )
% 5.55/5.80 & ? [V849e9: $i] :
% 5.55/5.80 ( ( mem @ V849e9 @ A_27a )
% 5.55/5.80 & ? [V850e10: $i] :
% 5.55/5.80 ( ( mem @ V850e10 @ A_27a )
% 5.55/5.80 & ? [V851e11: $i] :
% 5.55/5.80 ( ( mem @ V851e11 @ A_27a )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V841e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V842e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V843e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V844e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V845e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V846e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V847e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V848e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V849e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V850e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V851e11 ) @ V840l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V852l_27: $i] :
% 5.55/5.80 ( ( mem @ V852l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V853e1: $i] :
% 5.55/5.80 ( ( mem @ V853e1 @ A_27a )
% 5.55/5.80 & ? [V854e2: $i] :
% 5.55/5.80 ( ( mem @ V854e2 @ A_27a )
% 5.55/5.80 & ? [V855e3: $i] :
% 5.55/5.80 ( ( mem @ V855e3 @ A_27a )
% 5.55/5.80 & ? [V856e4: $i] :
% 5.55/5.80 ( ( mem @ V856e4 @ A_27a )
% 5.55/5.80 & ? [V857e5: $i] :
% 5.55/5.80 ( ( mem @ V857e5 @ A_27a )
% 5.55/5.80 & ? [V858e6: $i] :
% 5.55/5.80 ( ( mem @ V858e6 @ A_27a )
% 5.55/5.80 & ? [V859e7: $i] :
% 5.55/5.80 ( ( mem @ V859e7 @ A_27a )
% 5.55/5.80 & ? [V860e8: $i] :
% 5.55/5.80 ( ( mem @ V860e8 @ A_27a )
% 5.55/5.80 & ? [V861e9: $i] :
% 5.55/5.80 ( ( mem @ V861e9 @ A_27a )
% 5.55/5.80 & ? [V862e10: $i] :
% 5.55/5.80 ( ( mem @ V862e10 @ A_27a )
% 5.55/5.80 & ? [V863e11: $i] :
% 5.55/5.80 ( ( mem @ V863e11 @ A_27a )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V853e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V854e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V855e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V856e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V857e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V858e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V859e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V860e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V861e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V862e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V863e11 ) @ V852l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.80 <=> ? [V864l_27: $i] :
% 5.55/5.80 ( ( mem @ V864l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V865e1: $i] :
% 5.55/5.80 ( ( mem @ V865e1 @ A_27a )
% 5.55/5.80 & ? [V866e2: $i] :
% 5.55/5.80 ( ( mem @ V866e2 @ A_27a )
% 5.55/5.80 & ? [V867e3: $i] :
% 5.55/5.80 ( ( mem @ V867e3 @ A_27a )
% 5.55/5.80 & ? [V868e4: $i] :
% 5.55/5.80 ( ( mem @ V868e4 @ A_27a )
% 5.55/5.80 & ? [V869e5: $i] :
% 5.55/5.80 ( ( mem @ V869e5 @ A_27a )
% 5.55/5.80 & ? [V870e6: $i] :
% 5.55/5.80 ( ( mem @ V870e6 @ A_27a )
% 5.55/5.80 & ? [V871e7: $i] :
% 5.55/5.80 ( ( mem @ V871e7 @ A_27a )
% 5.55/5.80 & ? [V872e8: $i] :
% 5.55/5.80 ( ( mem @ V872e8 @ A_27a )
% 5.55/5.80 & ? [V873e9: $i] :
% 5.55/5.80 ( ( mem @ V873e9 @ A_27a )
% 5.55/5.80 & ? [V874e10: $i] :
% 5.55/5.80 ( ( mem @ V874e10 @ A_27a )
% 5.55/5.80 & ? [V875e11: $i] :
% 5.55/5.80 ( ( mem @ V875e11 @ A_27a )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V865e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V866e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V867e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V868e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V869e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V870e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V871e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V872e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V873e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V874e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V875e11 ) @ V864l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V876l_27: $i] :
% 5.55/5.80 ( ( mem @ V876l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V877e1: $i] :
% 5.55/5.80 ( ( mem @ V877e1 @ A_27a )
% 5.55/5.80 & ? [V878e2: $i] :
% 5.55/5.80 ( ( mem @ V878e2 @ A_27a )
% 5.55/5.80 & ? [V879e3: $i] :
% 5.55/5.80 ( ( mem @ V879e3 @ A_27a )
% 5.55/5.80 & ? [V880e4: $i] :
% 5.55/5.80 ( ( mem @ V880e4 @ A_27a )
% 5.55/5.80 & ? [V881e5: $i] :
% 5.55/5.80 ( ( mem @ V881e5 @ A_27a )
% 5.55/5.80 & ? [V882e6: $i] :
% 5.55/5.80 ( ( mem @ V882e6 @ A_27a )
% 5.55/5.80 & ? [V883e7: $i] :
% 5.55/5.80 ( ( mem @ V883e7 @ A_27a )
% 5.55/5.80 & ? [V884e8: $i] :
% 5.55/5.80 ( ( mem @ V884e8 @ A_27a )
% 5.55/5.80 & ? [V885e9: $i] :
% 5.55/5.80 ( ( mem @ V885e9 @ A_27a )
% 5.55/5.80 & ? [V886e10: $i] :
% 5.55/5.80 ( ( mem @ V886e10 @ A_27a )
% 5.55/5.80 & ? [V887e11: $i] :
% 5.55/5.80 ( ( mem @ V887e11 @ A_27a )
% 5.55/5.80 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V876l_27 ) ) )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V877e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V878e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V879e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V880e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V881e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V882e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V883e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V884e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V885e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V886e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V887e11 ) @ V876l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.80 <=> ? [V888l_27: $i] :
% 5.55/5.80 ( ( mem @ V888l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V889e1: $i] :
% 5.55/5.80 ( ( mem @ V889e1 @ A_27a )
% 5.55/5.80 & ? [V890e2: $i] :
% 5.55/5.80 ( ( mem @ V890e2 @ A_27a )
% 5.55/5.80 & ? [V891e3: $i] :
% 5.55/5.80 ( ( mem @ V891e3 @ A_27a )
% 5.55/5.80 & ? [V892e4: $i] :
% 5.55/5.80 ( ( mem @ V892e4 @ A_27a )
% 5.55/5.80 & ? [V893e5: $i] :
% 5.55/5.80 ( ( mem @ V893e5 @ A_27a )
% 5.55/5.80 & ? [V894e6: $i] :
% 5.55/5.80 ( ( mem @ V894e6 @ A_27a )
% 5.55/5.80 & ? [V895e7: $i] :
% 5.55/5.80 ( ( mem @ V895e7 @ A_27a )
% 5.55/5.80 & ? [V896e8: $i] :
% 5.55/5.80 ( ( mem @ V896e8 @ A_27a )
% 5.55/5.80 & ? [V897e9: $i] :
% 5.55/5.80 ( ( mem @ V897e9 @ A_27a )
% 5.55/5.80 & ? [V898e10: $i] :
% 5.55/5.80 ( ( mem @ V898e10 @ A_27a )
% 5.55/5.80 & ? [V899e11: $i] :
% 5.55/5.80 ( ( mem @ V899e11 @ A_27a )
% 5.55/5.80 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V888l_27 ) ) )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V889e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V890e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V891e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V892e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V893e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V894e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V895e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V896e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V897e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V898e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V899e11 ) @ V888l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V900l_27: $i] :
% 5.55/5.80 ( ( mem @ V900l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V901e1: $i] :
% 5.55/5.80 ( ( mem @ V901e1 @ A_27a )
% 5.55/5.80 & ? [V902e2: $i] :
% 5.55/5.80 ( ( mem @ V902e2 @ A_27a )
% 5.55/5.80 & ? [V903e3: $i] :
% 5.55/5.80 ( ( mem @ V903e3 @ A_27a )
% 5.55/5.80 & ? [V904e4: $i] :
% 5.55/5.80 ( ( mem @ V904e4 @ A_27a )
% 5.55/5.80 & ? [V905e5: $i] :
% 5.55/5.80 ( ( mem @ V905e5 @ A_27a )
% 5.55/5.80 & ? [V906e6: $i] :
% 5.55/5.80 ( ( mem @ V906e6 @ A_27a )
% 5.55/5.80 & ? [V907e7: $i] :
% 5.55/5.80 ( ( mem @ V907e7 @ A_27a )
% 5.55/5.80 & ? [V908e8: $i] :
% 5.55/5.80 ( ( mem @ V908e8 @ A_27a )
% 5.55/5.80 & ? [V909e9: $i] :
% 5.55/5.80 ( ( mem @ V909e9 @ A_27a )
% 5.55/5.80 & ? [V910e10: $i] :
% 5.55/5.80 ( ( mem @ V910e10 @ A_27a )
% 5.55/5.80 & ? [V911e11: $i] :
% 5.55/5.80 ( ( mem @ V911e11 @ A_27a )
% 5.55/5.80 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V900l_27 ) ) )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V901e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V902e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V903e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V904e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V905e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V906e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V907e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V908e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V909e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V910e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V911e11 ) @ V900l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.80 <=> ? [V912l_27: $i] :
% 5.55/5.80 ( ( mem @ V912l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V913e1: $i] :
% 5.55/5.80 ( ( mem @ V913e1 @ A_27a )
% 5.55/5.80 & ? [V914e2: $i] :
% 5.55/5.80 ( ( mem @ V914e2 @ A_27a )
% 5.55/5.80 & ? [V915e3: $i] :
% 5.55/5.80 ( ( mem @ V915e3 @ A_27a )
% 5.55/5.80 & ? [V916e4: $i] :
% 5.55/5.80 ( ( mem @ V916e4 @ A_27a )
% 5.55/5.80 & ? [V917e5: $i] :
% 5.55/5.80 ( ( mem @ V917e5 @ A_27a )
% 5.55/5.80 & ? [V918e6: $i] :
% 5.55/5.80 ( ( mem @ V918e6 @ A_27a )
% 5.55/5.80 & ? [V919e7: $i] :
% 5.55/5.80 ( ( mem @ V919e7 @ A_27a )
% 5.55/5.80 & ? [V920e8: $i] :
% 5.55/5.80 ( ( mem @ V920e8 @ A_27a )
% 5.55/5.80 & ? [V921e9: $i] :
% 5.55/5.80 ( ( mem @ V921e9 @ A_27a )
% 5.55/5.80 & ? [V922e10: $i] :
% 5.55/5.80 ( ( mem @ V922e10 @ A_27a )
% 5.55/5.80 & ? [V923e11: $i] :
% 5.55/5.80 ( ( mem @ V923e11 @ A_27a )
% 5.55/5.80 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V912l_27 ) ) )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V913e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V914e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V915e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V916e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V917e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V918e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V919e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V920e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V921e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V922e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V923e11 ) @ V912l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.80 <=> ? [V924l_27: $i] :
% 5.55/5.80 ( ( mem @ V924l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V925e1: $i] :
% 5.55/5.80 ( ( mem @ V925e1 @ A_27a )
% 5.55/5.80 & ? [V926e2: $i] :
% 5.55/5.80 ( ( mem @ V926e2 @ A_27a )
% 5.55/5.80 & ? [V927e3: $i] :
% 5.55/5.80 ( ( mem @ V927e3 @ A_27a )
% 5.55/5.80 & ? [V928e4: $i] :
% 5.55/5.80 ( ( mem @ V928e4 @ A_27a )
% 5.55/5.80 & ? [V929e5: $i] :
% 5.55/5.80 ( ( mem @ V929e5 @ A_27a )
% 5.55/5.80 & ? [V930e6: $i] :
% 5.55/5.80 ( ( mem @ V930e6 @ A_27a )
% 5.55/5.80 & ? [V931e7: $i] :
% 5.55/5.80 ( ( mem @ V931e7 @ A_27a )
% 5.55/5.80 & ? [V932e8: $i] :
% 5.55/5.80 ( ( mem @ V932e8 @ A_27a )
% 5.55/5.80 & ? [V933e9: $i] :
% 5.55/5.80 ( ( mem @ V933e9 @ A_27a )
% 5.55/5.80 & ? [V934e10: $i] :
% 5.55/5.80 ( ( mem @ V934e10 @ A_27a )
% 5.55/5.80 & ? [V935e11: $i] :
% 5.55/5.80 ( ( mem @ V935e11 @ A_27a )
% 5.55/5.80 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V924l_27 ) )
% 5.55/5.80 = V1x )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V925e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V926e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V927e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V928e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V929e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V930e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V931e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V932e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V933e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V934e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V935e11 ) @ V924l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V936l_27: $i] :
% 5.55/5.80 ( ( mem @ V936l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V937e1: $i] :
% 5.55/5.80 ( ( mem @ V937e1 @ A_27a )
% 5.55/5.80 & ? [V938e2: $i] :
% 5.55/5.80 ( ( mem @ V938e2 @ A_27a )
% 5.55/5.80 & ? [V939e3: $i] :
% 5.55/5.80 ( ( mem @ V939e3 @ A_27a )
% 5.55/5.80 & ? [V940e4: $i] :
% 5.55/5.80 ( ( mem @ V940e4 @ A_27a )
% 5.55/5.80 & ? [V941e5: $i] :
% 5.55/5.80 ( ( mem @ V941e5 @ A_27a )
% 5.55/5.80 & ? [V942e6: $i] :
% 5.55/5.80 ( ( mem @ V942e6 @ A_27a )
% 5.55/5.80 & ? [V943e7: $i] :
% 5.55/5.80 ( ( mem @ V943e7 @ A_27a )
% 5.55/5.80 & ? [V944e8: $i] :
% 5.55/5.80 ( ( mem @ V944e8 @ A_27a )
% 5.55/5.80 & ? [V945e9: $i] :
% 5.55/5.80 ( ( mem @ V945e9 @ A_27a )
% 5.55/5.80 & ? [V946e10: $i] :
% 5.55/5.80 ( ( mem @ V946e10 @ A_27a )
% 5.55/5.80 & ? [V947e11: $i] :
% 5.55/5.80 ( ( mem @ V947e11 @ A_27a )
% 5.55/5.80 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V936l_27 ) )
% 5.55/5.80 = V1x )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V937e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V938e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V939e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V940e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V941e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V942e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V943e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V944e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V945e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V946e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V947e11 ) @ V936l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.80 <=> ? [V948l_27: $i] :
% 5.55/5.80 ( ( mem @ V948l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V949e1: $i] :
% 5.55/5.80 ( ( mem @ V949e1 @ A_27a )
% 5.55/5.80 & ? [V950e2: $i] :
% 5.55/5.80 ( ( mem @ V950e2 @ A_27a )
% 5.55/5.80 & ? [V951e3: $i] :
% 5.55/5.80 ( ( mem @ V951e3 @ A_27a )
% 5.55/5.80 & ? [V952e4: $i] :
% 5.55/5.80 ( ( mem @ V952e4 @ A_27a )
% 5.55/5.80 & ? [V953e5: $i] :
% 5.55/5.80 ( ( mem @ V953e5 @ A_27a )
% 5.55/5.80 & ? [V954e6: $i] :
% 5.55/5.80 ( ( mem @ V954e6 @ A_27a )
% 5.55/5.80 & ? [V955e7: $i] :
% 5.55/5.80 ( ( mem @ V955e7 @ A_27a )
% 5.55/5.80 & ? [V956e8: $i] :
% 5.55/5.80 ( ( mem @ V956e8 @ A_27a )
% 5.55/5.80 & ? [V957e9: $i] :
% 5.55/5.80 ( ( mem @ V957e9 @ A_27a )
% 5.55/5.80 & ? [V958e10: $i] :
% 5.55/5.80 ( ( mem @ V958e10 @ A_27a )
% 5.55/5.80 & ? [V959e11: $i] :
% 5.55/5.80 ( ( mem @ V959e11 @ A_27a )
% 5.55/5.80 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V948l_27 ) )
% 5.55/5.80 = V1x )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V949e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V950e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V951e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V952e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V953e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V954e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V955e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V956e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V957e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V958e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V959e11 ) @ V948l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V960l_27: $i] :
% 5.55/5.80 ( ( mem @ V960l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V961e1: $i] :
% 5.55/5.80 ( ( mem @ V961e1 @ A_27a )
% 5.55/5.80 & ? [V962e2: $i] :
% 5.55/5.80 ( ( mem @ V962e2 @ A_27a )
% 5.55/5.80 & ? [V963e3: $i] :
% 5.55/5.80 ( ( mem @ V963e3 @ A_27a )
% 5.55/5.80 & ? [V964e4: $i] :
% 5.55/5.80 ( ( mem @ V964e4 @ A_27a )
% 5.55/5.80 & ? [V965e5: $i] :
% 5.55/5.80 ( ( mem @ V965e5 @ A_27a )
% 5.55/5.80 & ? [V966e6: $i] :
% 5.55/5.80 ( ( mem @ V966e6 @ A_27a )
% 5.55/5.80 & ? [V967e7: $i] :
% 5.55/5.80 ( ( mem @ V967e7 @ A_27a )
% 5.55/5.80 & ? [V968e8: $i] :
% 5.55/5.80 ( ( mem @ V968e8 @ A_27a )
% 5.55/5.80 & ? [V969e9: $i] :
% 5.55/5.80 ( ( mem @ V969e9 @ A_27a )
% 5.55/5.80 & ? [V970e10: $i] :
% 5.55/5.80 ( ( mem @ V970e10 @ A_27a )
% 5.55/5.80 & ? [V971e11: $i] :
% 5.55/5.80 ( ( mem @ V971e11 @ A_27a )
% 5.55/5.80 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V960l_27 ) )
% 5.55/5.80 = V1x )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V961e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V962e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V963e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V964e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V965e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V966e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V967e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V968e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V969e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V970e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V971e11 ) @ V960l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.80 <=> ? [V972e1: $i] :
% 5.55/5.80 ( ( mem @ V972e1 @ A_27a )
% 5.55/5.80 & ? [V973e2: $i] :
% 5.55/5.80 ( ( mem @ V973e2 @ A_27a )
% 5.55/5.80 & ? [V974e3: $i] :
% 5.55/5.80 ( ( mem @ V974e3 @ A_27a )
% 5.55/5.80 & ? [V975e4: $i] :
% 5.55/5.80 ( ( mem @ V975e4 @ A_27a )
% 5.55/5.80 & ? [V976e5: $i] :
% 5.55/5.80 ( ( mem @ V976e5 @ A_27a )
% 5.55/5.80 & ? [V977e6: $i] :
% 5.55/5.80 ( ( mem @ V977e6 @ A_27a )
% 5.55/5.80 & ? [V978e7: $i] :
% 5.55/5.80 ( ( mem @ V978e7 @ A_27a )
% 5.55/5.80 & ? [V979e8: $i] :
% 5.55/5.80 ( ( mem @ V979e8 @ A_27a )
% 5.55/5.80 & ? [V980e9: $i] :
% 5.55/5.80 ( ( mem @ V980e9 @ A_27a )
% 5.55/5.80 & ? [V981e10: $i] :
% 5.55/5.80 ( ( mem @ V981e10 @ A_27a )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V972e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V973e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V974e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V975e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V976e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V977e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V978e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V979e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V980e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V981e10 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V982e1: $i] :
% 5.55/5.80 ( ( mem @ V982e1 @ A_27a )
% 5.55/5.80 & ? [V983e2: $i] :
% 5.55/5.80 ( ( mem @ V983e2 @ A_27a )
% 5.55/5.80 & ? [V984e3: $i] :
% 5.55/5.80 ( ( mem @ V984e3 @ A_27a )
% 5.55/5.80 & ? [V985e4: $i] :
% 5.55/5.80 ( ( mem @ V985e4 @ A_27a )
% 5.55/5.80 & ? [V986e5: $i] :
% 5.55/5.80 ( ( mem @ V986e5 @ A_27a )
% 5.55/5.80 & ? [V987e6: $i] :
% 5.55/5.80 ( ( mem @ V987e6 @ A_27a )
% 5.55/5.80 & ? [V988e7: $i] :
% 5.55/5.80 ( ( mem @ V988e7 @ A_27a )
% 5.55/5.80 & ? [V989e8: $i] :
% 5.55/5.80 ( ( mem @ V989e8 @ A_27a )
% 5.55/5.80 & ? [V990e9: $i] :
% 5.55/5.80 ( ( mem @ V990e9 @ A_27a )
% 5.55/5.80 & ? [V991e10: $i] :
% 5.55/5.80 ( ( mem @ V991e10 @ A_27a )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V982e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V983e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V984e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V985e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V986e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V987e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V988e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V989e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V990e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V991e10 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V992l_27: $i] :
% 5.55/5.80 ( ( mem @ V992l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V993e1: $i] :
% 5.55/5.80 ( ( mem @ V993e1 @ A_27a )
% 5.55/5.80 & ? [V994e2: $i] :
% 5.55/5.80 ( ( mem @ V994e2 @ A_27a )
% 5.55/5.80 & ? [V995e3: $i] :
% 5.55/5.80 ( ( mem @ V995e3 @ A_27a )
% 5.55/5.80 & ? [V996e4: $i] :
% 5.55/5.80 ( ( mem @ V996e4 @ A_27a )
% 5.55/5.80 & ? [V997e5: $i] :
% 5.55/5.80 ( ( mem @ V997e5 @ A_27a )
% 5.55/5.80 & ? [V998e6: $i] :
% 5.55/5.80 ( ( mem @ V998e6 @ A_27a )
% 5.55/5.80 & ? [V999e7: $i] :
% 5.55/5.80 ( ( mem @ V999e7 @ A_27a )
% 5.55/5.80 & ? [V1000e8: $i] :
% 5.55/5.80 ( ( mem @ V1000e8 @ A_27a )
% 5.55/5.80 & ? [V1001e9: $i] :
% 5.55/5.80 ( ( mem @ V1001e9 @ A_27a )
% 5.55/5.80 & ? [V1002e10: $i] :
% 5.55/5.80 ( ( mem @ V1002e10 @ A_27a )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V993e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V994e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V995e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V996e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V997e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V998e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V999e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1000e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1001e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1002e10 ) @ V992l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.80 <=> ? [V1003l_27: $i] :
% 5.55/5.80 ( ( mem @ V1003l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1004e1: $i] :
% 5.55/5.80 ( ( mem @ V1004e1 @ A_27a )
% 5.55/5.80 & ? [V1005e2: $i] :
% 5.55/5.80 ( ( mem @ V1005e2 @ A_27a )
% 5.55/5.80 & ? [V1006e3: $i] :
% 5.55/5.80 ( ( mem @ V1006e3 @ A_27a )
% 5.55/5.80 & ? [V1007e4: $i] :
% 5.55/5.80 ( ( mem @ V1007e4 @ A_27a )
% 5.55/5.80 & ? [V1008e5: $i] :
% 5.55/5.80 ( ( mem @ V1008e5 @ A_27a )
% 5.55/5.80 & ? [V1009e6: $i] :
% 5.55/5.80 ( ( mem @ V1009e6 @ A_27a )
% 5.55/5.80 & ? [V1010e7: $i] :
% 5.55/5.80 ( ( mem @ V1010e7 @ A_27a )
% 5.55/5.80 & ? [V1011e8: $i] :
% 5.55/5.80 ( ( mem @ V1011e8 @ A_27a )
% 5.55/5.80 & ? [V1012e9: $i] :
% 5.55/5.80 ( ( mem @ V1012e9 @ A_27a )
% 5.55/5.80 & ? [V1013e10: $i] :
% 5.55/5.80 ( ( mem @ V1013e10 @ A_27a )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1004e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1005e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1006e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1007e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1008e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1009e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1010e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1011e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1012e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1013e10 ) @ V1003l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V1014l_27: $i] :
% 5.55/5.80 ( ( mem @ V1014l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1015e1: $i] :
% 5.55/5.80 ( ( mem @ V1015e1 @ A_27a )
% 5.55/5.80 & ? [V1016e2: $i] :
% 5.55/5.80 ( ( mem @ V1016e2 @ A_27a )
% 5.55/5.80 & ? [V1017e3: $i] :
% 5.55/5.80 ( ( mem @ V1017e3 @ A_27a )
% 5.55/5.80 & ? [V1018e4: $i] :
% 5.55/5.80 ( ( mem @ V1018e4 @ A_27a )
% 5.55/5.80 & ? [V1019e5: $i] :
% 5.55/5.80 ( ( mem @ V1019e5 @ A_27a )
% 5.55/5.80 & ? [V1020e6: $i] :
% 5.55/5.80 ( ( mem @ V1020e6 @ A_27a )
% 5.55/5.80 & ? [V1021e7: $i] :
% 5.55/5.80 ( ( mem @ V1021e7 @ A_27a )
% 5.55/5.80 & ? [V1022e8: $i] :
% 5.55/5.80 ( ( mem @ V1022e8 @ A_27a )
% 5.55/5.80 & ? [V1023e9: $i] :
% 5.55/5.80 ( ( mem @ V1023e9 @ A_27a )
% 5.55/5.80 & ? [V1024e10: $i] :
% 5.55/5.80 ( ( mem @ V1024e10 @ A_27a )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1015e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1016e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1017e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1018e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1019e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1020e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1021e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1022e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1023e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1024e10 ) @ V1014l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.80 <=> ? [V1025l_27: $i] :
% 5.55/5.80 ( ( mem @ V1025l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1026e1: $i] :
% 5.55/5.80 ( ( mem @ V1026e1 @ A_27a )
% 5.55/5.80 & ? [V1027e2: $i] :
% 5.55/5.80 ( ( mem @ V1027e2 @ A_27a )
% 5.55/5.80 & ? [V1028e3: $i] :
% 5.55/5.80 ( ( mem @ V1028e3 @ A_27a )
% 5.55/5.80 & ? [V1029e4: $i] :
% 5.55/5.80 ( ( mem @ V1029e4 @ A_27a )
% 5.55/5.80 & ? [V1030e5: $i] :
% 5.55/5.80 ( ( mem @ V1030e5 @ A_27a )
% 5.55/5.80 & ? [V1031e6: $i] :
% 5.55/5.80 ( ( mem @ V1031e6 @ A_27a )
% 5.55/5.80 & ? [V1032e7: $i] :
% 5.55/5.80 ( ( mem @ V1032e7 @ A_27a )
% 5.55/5.80 & ? [V1033e8: $i] :
% 5.55/5.80 ( ( mem @ V1033e8 @ A_27a )
% 5.55/5.80 & ? [V1034e9: $i] :
% 5.55/5.80 ( ( mem @ V1034e9 @ A_27a )
% 5.55/5.80 & ? [V1035e10: $i] :
% 5.55/5.80 ( ( mem @ V1035e10 @ A_27a )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1026e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1027e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1028e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1029e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1030e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1031e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1032e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1033e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1034e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1035e10 ) @ V1025l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V1036l_27: $i] :
% 5.55/5.80 ( ( mem @ V1036l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1037e1: $i] :
% 5.55/5.80 ( ( mem @ V1037e1 @ A_27a )
% 5.55/5.80 & ? [V1038e2: $i] :
% 5.55/5.80 ( ( mem @ V1038e2 @ A_27a )
% 5.55/5.80 & ? [V1039e3: $i] :
% 5.55/5.80 ( ( mem @ V1039e3 @ A_27a )
% 5.55/5.80 & ? [V1040e4: $i] :
% 5.55/5.80 ( ( mem @ V1040e4 @ A_27a )
% 5.55/5.80 & ? [V1041e5: $i] :
% 5.55/5.80 ( ( mem @ V1041e5 @ A_27a )
% 5.55/5.80 & ? [V1042e6: $i] :
% 5.55/5.80 ( ( mem @ V1042e6 @ A_27a )
% 5.55/5.80 & ? [V1043e7: $i] :
% 5.55/5.80 ( ( mem @ V1043e7 @ A_27a )
% 5.55/5.80 & ? [V1044e8: $i] :
% 5.55/5.80 ( ( mem @ V1044e8 @ A_27a )
% 5.55/5.80 & ? [V1045e9: $i] :
% 5.55/5.80 ( ( mem @ V1045e9 @ A_27a )
% 5.55/5.80 & ? [V1046e10: $i] :
% 5.55/5.80 ( ( mem @ V1046e10 @ A_27a )
% 5.55/5.80 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1036l_27 ) ) )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1037e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1038e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1039e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1040e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1041e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1042e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1043e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1044e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1045e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1046e10 ) @ V1036l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.80 <=> ? [V1047l_27: $i] :
% 5.55/5.80 ( ( mem @ V1047l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1048e1: $i] :
% 5.55/5.80 ( ( mem @ V1048e1 @ A_27a )
% 5.55/5.80 & ? [V1049e2: $i] :
% 5.55/5.80 ( ( mem @ V1049e2 @ A_27a )
% 5.55/5.80 & ? [V1050e3: $i] :
% 5.55/5.80 ( ( mem @ V1050e3 @ A_27a )
% 5.55/5.80 & ? [V1051e4: $i] :
% 5.55/5.80 ( ( mem @ V1051e4 @ A_27a )
% 5.55/5.80 & ? [V1052e5: $i] :
% 5.55/5.80 ( ( mem @ V1052e5 @ A_27a )
% 5.55/5.80 & ? [V1053e6: $i] :
% 5.55/5.80 ( ( mem @ V1053e6 @ A_27a )
% 5.55/5.80 & ? [V1054e7: $i] :
% 5.55/5.80 ( ( mem @ V1054e7 @ A_27a )
% 5.55/5.80 & ? [V1055e8: $i] :
% 5.55/5.80 ( ( mem @ V1055e8 @ A_27a )
% 5.55/5.80 & ? [V1056e9: $i] :
% 5.55/5.80 ( ( mem @ V1056e9 @ A_27a )
% 5.55/5.80 & ? [V1057e10: $i] :
% 5.55/5.80 ( ( mem @ V1057e10 @ A_27a )
% 5.55/5.80 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1047l_27 ) ) )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1048e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1049e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1050e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1051e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1052e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1053e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1054e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1055e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1056e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1057e10 ) @ V1047l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V1058l_27: $i] :
% 5.55/5.80 ( ( mem @ V1058l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1059e1: $i] :
% 5.55/5.80 ( ( mem @ V1059e1 @ A_27a )
% 5.55/5.80 & ? [V1060e2: $i] :
% 5.55/5.80 ( ( mem @ V1060e2 @ A_27a )
% 5.55/5.80 & ? [V1061e3: $i] :
% 5.55/5.80 ( ( mem @ V1061e3 @ A_27a )
% 5.55/5.80 & ? [V1062e4: $i] :
% 5.55/5.80 ( ( mem @ V1062e4 @ A_27a )
% 5.55/5.80 & ? [V1063e5: $i] :
% 5.55/5.80 ( ( mem @ V1063e5 @ A_27a )
% 5.55/5.80 & ? [V1064e6: $i] :
% 5.55/5.80 ( ( mem @ V1064e6 @ A_27a )
% 5.55/5.80 & ? [V1065e7: $i] :
% 5.55/5.80 ( ( mem @ V1065e7 @ A_27a )
% 5.55/5.80 & ? [V1066e8: $i] :
% 5.55/5.80 ( ( mem @ V1066e8 @ A_27a )
% 5.55/5.80 & ? [V1067e9: $i] :
% 5.55/5.80 ( ( mem @ V1067e9 @ A_27a )
% 5.55/5.80 & ? [V1068e10: $i] :
% 5.55/5.80 ( ( mem @ V1068e10 @ A_27a )
% 5.55/5.80 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1058l_27 ) ) )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1059e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1060e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1061e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1062e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1063e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1064e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1065e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1066e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1067e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1068e10 ) @ V1058l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.80 <=> ? [V1069l_27: $i] :
% 5.55/5.80 ( ( mem @ V1069l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1070e1: $i] :
% 5.55/5.80 ( ( mem @ V1070e1 @ A_27a )
% 5.55/5.80 & ? [V1071e2: $i] :
% 5.55/5.80 ( ( mem @ V1071e2 @ A_27a )
% 5.55/5.80 & ? [V1072e3: $i] :
% 5.55/5.80 ( ( mem @ V1072e3 @ A_27a )
% 5.55/5.80 & ? [V1073e4: $i] :
% 5.55/5.80 ( ( mem @ V1073e4 @ A_27a )
% 5.55/5.80 & ? [V1074e5: $i] :
% 5.55/5.80 ( ( mem @ V1074e5 @ A_27a )
% 5.55/5.80 & ? [V1075e6: $i] :
% 5.55/5.80 ( ( mem @ V1075e6 @ A_27a )
% 5.55/5.80 & ? [V1076e7: $i] :
% 5.55/5.80 ( ( mem @ V1076e7 @ A_27a )
% 5.55/5.80 & ? [V1077e8: $i] :
% 5.55/5.80 ( ( mem @ V1077e8 @ A_27a )
% 5.55/5.80 & ? [V1078e9: $i] :
% 5.55/5.80 ( ( mem @ V1078e9 @ A_27a )
% 5.55/5.80 & ? [V1079e10: $i] :
% 5.55/5.80 ( ( mem @ V1079e10 @ A_27a )
% 5.55/5.80 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1069l_27 ) ) )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1070e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1071e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1072e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1073e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1074e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1075e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1076e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1077e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1078e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1079e10 ) @ V1069l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.80 <=> ? [V1080l_27: $i] :
% 5.55/5.80 ( ( mem @ V1080l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1081e1: $i] :
% 5.55/5.80 ( ( mem @ V1081e1 @ A_27a )
% 5.55/5.80 & ? [V1082e2: $i] :
% 5.55/5.80 ( ( mem @ V1082e2 @ A_27a )
% 5.55/5.80 & ? [V1083e3: $i] :
% 5.55/5.80 ( ( mem @ V1083e3 @ A_27a )
% 5.55/5.80 & ? [V1084e4: $i] :
% 5.55/5.80 ( ( mem @ V1084e4 @ A_27a )
% 5.55/5.80 & ? [V1085e5: $i] :
% 5.55/5.80 ( ( mem @ V1085e5 @ A_27a )
% 5.55/5.80 & ? [V1086e6: $i] :
% 5.55/5.80 ( ( mem @ V1086e6 @ A_27a )
% 5.55/5.80 & ? [V1087e7: $i] :
% 5.55/5.80 ( ( mem @ V1087e7 @ A_27a )
% 5.55/5.80 & ? [V1088e8: $i] :
% 5.55/5.80 ( ( mem @ V1088e8 @ A_27a )
% 5.55/5.80 & ? [V1089e9: $i] :
% 5.55/5.80 ( ( mem @ V1089e9 @ A_27a )
% 5.55/5.80 & ? [V1090e10: $i] :
% 5.55/5.80 ( ( mem @ V1090e10 @ A_27a )
% 5.55/5.80 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1080l_27 ) )
% 5.55/5.80 = V1x )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1081e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1082e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1083e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1084e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1085e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1086e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1087e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1088e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1089e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1090e10 ) @ V1080l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V1091l_27: $i] :
% 5.55/5.80 ( ( mem @ V1091l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1092e1: $i] :
% 5.55/5.80 ( ( mem @ V1092e1 @ A_27a )
% 5.55/5.80 & ? [V1093e2: $i] :
% 5.55/5.80 ( ( mem @ V1093e2 @ A_27a )
% 5.55/5.80 & ? [V1094e3: $i] :
% 5.55/5.80 ( ( mem @ V1094e3 @ A_27a )
% 5.55/5.80 & ? [V1095e4: $i] :
% 5.55/5.80 ( ( mem @ V1095e4 @ A_27a )
% 5.55/5.80 & ? [V1096e5: $i] :
% 5.55/5.80 ( ( mem @ V1096e5 @ A_27a )
% 5.55/5.80 & ? [V1097e6: $i] :
% 5.55/5.80 ( ( mem @ V1097e6 @ A_27a )
% 5.55/5.80 & ? [V1098e7: $i] :
% 5.55/5.80 ( ( mem @ V1098e7 @ A_27a )
% 5.55/5.80 & ? [V1099e8: $i] :
% 5.55/5.80 ( ( mem @ V1099e8 @ A_27a )
% 5.55/5.80 & ? [V1100e9: $i] :
% 5.55/5.80 ( ( mem @ V1100e9 @ A_27a )
% 5.55/5.80 & ? [V1101e10: $i] :
% 5.55/5.80 ( ( mem @ V1101e10 @ A_27a )
% 5.55/5.80 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1091l_27 ) )
% 5.55/5.80 = V1x )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1092e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1093e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1094e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1095e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1096e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1097e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1098e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1099e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1100e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1101e10 ) @ V1091l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.80 <=> ? [V1102l_27: $i] :
% 5.55/5.80 ( ( mem @ V1102l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1103e1: $i] :
% 5.55/5.80 ( ( mem @ V1103e1 @ A_27a )
% 5.55/5.80 & ? [V1104e2: $i] :
% 5.55/5.80 ( ( mem @ V1104e2 @ A_27a )
% 5.55/5.80 & ? [V1105e3: $i] :
% 5.55/5.80 ( ( mem @ V1105e3 @ A_27a )
% 5.55/5.80 & ? [V1106e4: $i] :
% 5.55/5.80 ( ( mem @ V1106e4 @ A_27a )
% 5.55/5.80 & ? [V1107e5: $i] :
% 5.55/5.80 ( ( mem @ V1107e5 @ A_27a )
% 5.55/5.80 & ? [V1108e6: $i] :
% 5.55/5.80 ( ( mem @ V1108e6 @ A_27a )
% 5.55/5.80 & ? [V1109e7: $i] :
% 5.55/5.80 ( ( mem @ V1109e7 @ A_27a )
% 5.55/5.80 & ? [V1110e8: $i] :
% 5.55/5.80 ( ( mem @ V1110e8 @ A_27a )
% 5.55/5.80 & ? [V1111e9: $i] :
% 5.55/5.80 ( ( mem @ V1111e9 @ A_27a )
% 5.55/5.80 & ? [V1112e10: $i] :
% 5.55/5.80 ( ( mem @ V1112e10 @ A_27a )
% 5.55/5.80 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1102l_27 ) )
% 5.55/5.80 = V1x )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1103e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1104e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1105e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1106e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1107e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1108e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1109e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1110e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1111e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1112e10 ) @ V1102l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V1113l_27: $i] :
% 5.55/5.80 ( ( mem @ V1113l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1114e1: $i] :
% 5.55/5.80 ( ( mem @ V1114e1 @ A_27a )
% 5.55/5.80 & ? [V1115e2: $i] :
% 5.55/5.80 ( ( mem @ V1115e2 @ A_27a )
% 5.55/5.80 & ? [V1116e3: $i] :
% 5.55/5.80 ( ( mem @ V1116e3 @ A_27a )
% 5.55/5.80 & ? [V1117e4: $i] :
% 5.55/5.80 ( ( mem @ V1117e4 @ A_27a )
% 5.55/5.80 & ? [V1118e5: $i] :
% 5.55/5.80 ( ( mem @ V1118e5 @ A_27a )
% 5.55/5.80 & ? [V1119e6: $i] :
% 5.55/5.80 ( ( mem @ V1119e6 @ A_27a )
% 5.55/5.80 & ? [V1120e7: $i] :
% 5.55/5.80 ( ( mem @ V1120e7 @ A_27a )
% 5.55/5.80 & ? [V1121e8: $i] :
% 5.55/5.80 ( ( mem @ V1121e8 @ A_27a )
% 5.55/5.80 & ? [V1122e9: $i] :
% 5.55/5.80 ( ( mem @ V1122e9 @ A_27a )
% 5.55/5.80 & ? [V1123e10: $i] :
% 5.55/5.80 ( ( mem @ V1123e10 @ A_27a )
% 5.55/5.80 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1113l_27 ) )
% 5.55/5.80 = V1x )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1114e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1115e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1116e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1117e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1118e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1119e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1120e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1121e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1122e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1123e10 ) @ V1113l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.80 <=> ? [V1124e1: $i] :
% 5.55/5.80 ( ( mem @ V1124e1 @ A_27a )
% 5.55/5.80 & ? [V1125e2: $i] :
% 5.55/5.80 ( ( mem @ V1125e2 @ A_27a )
% 5.55/5.80 & ? [V1126e3: $i] :
% 5.55/5.80 ( ( mem @ V1126e3 @ A_27a )
% 5.55/5.80 & ? [V1127e4: $i] :
% 5.55/5.80 ( ( mem @ V1127e4 @ A_27a )
% 5.55/5.80 & ? [V1128e5: $i] :
% 5.55/5.80 ( ( mem @ V1128e5 @ A_27a )
% 5.55/5.80 & ? [V1129e6: $i] :
% 5.55/5.80 ( ( mem @ V1129e6 @ A_27a )
% 5.55/5.80 & ? [V1130e7: $i] :
% 5.55/5.80 ( ( mem @ V1130e7 @ A_27a )
% 5.55/5.80 & ? [V1131e8: $i] :
% 5.55/5.80 ( ( mem @ V1131e8 @ A_27a )
% 5.55/5.80 & ? [V1132e9: $i] :
% 5.55/5.80 ( ( mem @ V1132e9 @ A_27a )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1124e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1125e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1126e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1127e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1128e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1129e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1130e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1131e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1132e9 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V1133e1: $i] :
% 5.55/5.80 ( ( mem @ V1133e1 @ A_27a )
% 5.55/5.80 & ? [V1134e2: $i] :
% 5.55/5.80 ( ( mem @ V1134e2 @ A_27a )
% 5.55/5.80 & ? [V1135e3: $i] :
% 5.55/5.80 ( ( mem @ V1135e3 @ A_27a )
% 5.55/5.80 & ? [V1136e4: $i] :
% 5.55/5.80 ( ( mem @ V1136e4 @ A_27a )
% 5.55/5.80 & ? [V1137e5: $i] :
% 5.55/5.80 ( ( mem @ V1137e5 @ A_27a )
% 5.55/5.80 & ? [V1138e6: $i] :
% 5.55/5.80 ( ( mem @ V1138e6 @ A_27a )
% 5.55/5.80 & ? [V1139e7: $i] :
% 5.55/5.80 ( ( mem @ V1139e7 @ A_27a )
% 5.55/5.80 & ? [V1140e8: $i] :
% 5.55/5.80 ( ( mem @ V1140e8 @ A_27a )
% 5.55/5.80 & ? [V1141e9: $i] :
% 5.55/5.80 ( ( mem @ V1141e9 @ A_27a )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1133e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1134e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1135e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1136e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1137e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1138e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1139e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1140e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1141e9 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V1142l_27: $i] :
% 5.55/5.80 ( ( mem @ V1142l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1143e1: $i] :
% 5.55/5.80 ( ( mem @ V1143e1 @ A_27a )
% 5.55/5.80 & ? [V1144e2: $i] :
% 5.55/5.80 ( ( mem @ V1144e2 @ A_27a )
% 5.55/5.80 & ? [V1145e3: $i] :
% 5.55/5.80 ( ( mem @ V1145e3 @ A_27a )
% 5.55/5.80 & ? [V1146e4: $i] :
% 5.55/5.80 ( ( mem @ V1146e4 @ A_27a )
% 5.55/5.80 & ? [V1147e5: $i] :
% 5.55/5.80 ( ( mem @ V1147e5 @ A_27a )
% 5.55/5.80 & ? [V1148e6: $i] :
% 5.55/5.80 ( ( mem @ V1148e6 @ A_27a )
% 5.55/5.80 & ? [V1149e7: $i] :
% 5.55/5.80 ( ( mem @ V1149e7 @ A_27a )
% 5.55/5.80 & ? [V1150e8: $i] :
% 5.55/5.80 ( ( mem @ V1150e8 @ A_27a )
% 5.55/5.80 & ? [V1151e9: $i] :
% 5.55/5.80 ( ( mem @ V1151e9 @ A_27a )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1143e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1144e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1145e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1146e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1147e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1148e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1149e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1150e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1151e9 ) @ V1142l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.80 <=> ? [V1152l_27: $i] :
% 5.55/5.80 ( ( mem @ V1152l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1153e1: $i] :
% 5.55/5.80 ( ( mem @ V1153e1 @ A_27a )
% 5.55/5.80 & ? [V1154e2: $i] :
% 5.55/5.80 ( ( mem @ V1154e2 @ A_27a )
% 5.55/5.80 & ? [V1155e3: $i] :
% 5.55/5.80 ( ( mem @ V1155e3 @ A_27a )
% 5.55/5.80 & ? [V1156e4: $i] :
% 5.55/5.80 ( ( mem @ V1156e4 @ A_27a )
% 5.55/5.80 & ? [V1157e5: $i] :
% 5.55/5.80 ( ( mem @ V1157e5 @ A_27a )
% 5.55/5.80 & ? [V1158e6: $i] :
% 5.55/5.80 ( ( mem @ V1158e6 @ A_27a )
% 5.55/5.80 & ? [V1159e7: $i] :
% 5.55/5.80 ( ( mem @ V1159e7 @ A_27a )
% 5.55/5.80 & ? [V1160e8: $i] :
% 5.55/5.80 ( ( mem @ V1160e8 @ A_27a )
% 5.55/5.80 & ? [V1161e9: $i] :
% 5.55/5.80 ( ( mem @ V1161e9 @ A_27a )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1153e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1154e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1155e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1156e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1157e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1158e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1159e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1160e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1161e9 ) @ V1152l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V1162l_27: $i] :
% 5.55/5.80 ( ( mem @ V1162l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1163e1: $i] :
% 5.55/5.80 ( ( mem @ V1163e1 @ A_27a )
% 5.55/5.80 & ? [V1164e2: $i] :
% 5.55/5.80 ( ( mem @ V1164e2 @ A_27a )
% 5.55/5.80 & ? [V1165e3: $i] :
% 5.55/5.80 ( ( mem @ V1165e3 @ A_27a )
% 5.55/5.80 & ? [V1166e4: $i] :
% 5.55/5.80 ( ( mem @ V1166e4 @ A_27a )
% 5.55/5.80 & ? [V1167e5: $i] :
% 5.55/5.80 ( ( mem @ V1167e5 @ A_27a )
% 5.55/5.80 & ? [V1168e6: $i] :
% 5.55/5.80 ( ( mem @ V1168e6 @ A_27a )
% 5.55/5.80 & ? [V1169e7: $i] :
% 5.55/5.80 ( ( mem @ V1169e7 @ A_27a )
% 5.55/5.80 & ? [V1170e8: $i] :
% 5.55/5.80 ( ( mem @ V1170e8 @ A_27a )
% 5.55/5.80 & ? [V1171e9: $i] :
% 5.55/5.80 ( ( mem @ V1171e9 @ A_27a )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1163e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1164e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1165e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1166e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1167e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1168e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1169e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1170e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1171e9 ) @ V1162l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.80 <=> ? [V1172l_27: $i] :
% 5.55/5.80 ( ( mem @ V1172l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1173e1: $i] :
% 5.55/5.80 ( ( mem @ V1173e1 @ A_27a )
% 5.55/5.80 & ? [V1174e2: $i] :
% 5.55/5.80 ( ( mem @ V1174e2 @ A_27a )
% 5.55/5.80 & ? [V1175e3: $i] :
% 5.55/5.80 ( ( mem @ V1175e3 @ A_27a )
% 5.55/5.80 & ? [V1176e4: $i] :
% 5.55/5.80 ( ( mem @ V1176e4 @ A_27a )
% 5.55/5.80 & ? [V1177e5: $i] :
% 5.55/5.80 ( ( mem @ V1177e5 @ A_27a )
% 5.55/5.80 & ? [V1178e6: $i] :
% 5.55/5.80 ( ( mem @ V1178e6 @ A_27a )
% 5.55/5.80 & ? [V1179e7: $i] :
% 5.55/5.80 ( ( mem @ V1179e7 @ A_27a )
% 5.55/5.80 & ? [V1180e8: $i] :
% 5.55/5.80 ( ( mem @ V1180e8 @ A_27a )
% 5.55/5.80 & ? [V1181e9: $i] :
% 5.55/5.80 ( ( mem @ V1181e9 @ A_27a )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1173e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1174e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1175e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1176e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1177e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1178e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1179e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1180e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1181e9 ) @ V1172l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V1182l_27: $i] :
% 5.55/5.80 ( ( mem @ V1182l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1183e1: $i] :
% 5.55/5.80 ( ( mem @ V1183e1 @ A_27a )
% 5.55/5.80 & ? [V1184e2: $i] :
% 5.55/5.80 ( ( mem @ V1184e2 @ A_27a )
% 5.55/5.80 & ? [V1185e3: $i] :
% 5.55/5.80 ( ( mem @ V1185e3 @ A_27a )
% 5.55/5.80 & ? [V1186e4: $i] :
% 5.55/5.80 ( ( mem @ V1186e4 @ A_27a )
% 5.55/5.80 & ? [V1187e5: $i] :
% 5.55/5.80 ( ( mem @ V1187e5 @ A_27a )
% 5.55/5.80 & ? [V1188e6: $i] :
% 5.55/5.80 ( ( mem @ V1188e6 @ A_27a )
% 5.55/5.80 & ? [V1189e7: $i] :
% 5.55/5.80 ( ( mem @ V1189e7 @ A_27a )
% 5.55/5.80 & ? [V1190e8: $i] :
% 5.55/5.80 ( ( mem @ V1190e8 @ A_27a )
% 5.55/5.80 & ? [V1191e9: $i] :
% 5.55/5.80 ( ( mem @ V1191e9 @ A_27a )
% 5.55/5.80 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1182l_27 ) ) )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1183e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1184e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1185e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1186e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1187e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1188e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1189e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1190e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1191e9 ) @ V1182l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.80 <=> ? [V1192l_27: $i] :
% 5.55/5.80 ( ( mem @ V1192l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1193e1: $i] :
% 5.55/5.80 ( ( mem @ V1193e1 @ A_27a )
% 5.55/5.80 & ? [V1194e2: $i] :
% 5.55/5.80 ( ( mem @ V1194e2 @ A_27a )
% 5.55/5.80 & ? [V1195e3: $i] :
% 5.55/5.80 ( ( mem @ V1195e3 @ A_27a )
% 5.55/5.80 & ? [V1196e4: $i] :
% 5.55/5.80 ( ( mem @ V1196e4 @ A_27a )
% 5.55/5.80 & ? [V1197e5: $i] :
% 5.55/5.80 ( ( mem @ V1197e5 @ A_27a )
% 5.55/5.80 & ? [V1198e6: $i] :
% 5.55/5.80 ( ( mem @ V1198e6 @ A_27a )
% 5.55/5.80 & ? [V1199e7: $i] :
% 5.55/5.80 ( ( mem @ V1199e7 @ A_27a )
% 5.55/5.80 & ? [V1200e8: $i] :
% 5.55/5.80 ( ( mem @ V1200e8 @ A_27a )
% 5.55/5.80 & ? [V1201e9: $i] :
% 5.55/5.80 ( ( mem @ V1201e9 @ A_27a )
% 5.55/5.80 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1192l_27 ) ) )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1193e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1194e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1195e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1196e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1197e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1198e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1199e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1200e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1201e9 ) @ V1192l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V1202l_27: $i] :
% 5.55/5.80 ( ( mem @ V1202l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1203e1: $i] :
% 5.55/5.80 ( ( mem @ V1203e1 @ A_27a )
% 5.55/5.80 & ? [V1204e2: $i] :
% 5.55/5.80 ( ( mem @ V1204e2 @ A_27a )
% 5.55/5.80 & ? [V1205e3: $i] :
% 5.55/5.80 ( ( mem @ V1205e3 @ A_27a )
% 5.55/5.80 & ? [V1206e4: $i] :
% 5.55/5.80 ( ( mem @ V1206e4 @ A_27a )
% 5.55/5.80 & ? [V1207e5: $i] :
% 5.55/5.80 ( ( mem @ V1207e5 @ A_27a )
% 5.55/5.80 & ? [V1208e6: $i] :
% 5.55/5.80 ( ( mem @ V1208e6 @ A_27a )
% 5.55/5.80 & ? [V1209e7: $i] :
% 5.55/5.80 ( ( mem @ V1209e7 @ A_27a )
% 5.55/5.80 & ? [V1210e8: $i] :
% 5.55/5.80 ( ( mem @ V1210e8 @ A_27a )
% 5.55/5.80 & ? [V1211e9: $i] :
% 5.55/5.80 ( ( mem @ V1211e9 @ A_27a )
% 5.55/5.80 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1202l_27 ) ) )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1203e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1204e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1205e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1206e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1207e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1208e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1209e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1210e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1211e9 ) @ V1202l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.80 <=> ? [V1212l_27: $i] :
% 5.55/5.80 ( ( mem @ V1212l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1213e1: $i] :
% 5.55/5.80 ( ( mem @ V1213e1 @ A_27a )
% 5.55/5.80 & ? [V1214e2: $i] :
% 5.55/5.80 ( ( mem @ V1214e2 @ A_27a )
% 5.55/5.80 & ? [V1215e3: $i] :
% 5.55/5.80 ( ( mem @ V1215e3 @ A_27a )
% 5.55/5.80 & ? [V1216e4: $i] :
% 5.55/5.80 ( ( mem @ V1216e4 @ A_27a )
% 5.55/5.80 & ? [V1217e5: $i] :
% 5.55/5.80 ( ( mem @ V1217e5 @ A_27a )
% 5.55/5.80 & ? [V1218e6: $i] :
% 5.55/5.80 ( ( mem @ V1218e6 @ A_27a )
% 5.55/5.80 & ? [V1219e7: $i] :
% 5.55/5.80 ( ( mem @ V1219e7 @ A_27a )
% 5.55/5.80 & ? [V1220e8: $i] :
% 5.55/5.80 ( ( mem @ V1220e8 @ A_27a )
% 5.55/5.80 & ? [V1221e9: $i] :
% 5.55/5.80 ( ( mem @ V1221e9 @ A_27a )
% 5.55/5.80 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1212l_27 ) ) )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1213e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1214e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1215e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1216e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1217e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1218e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1219e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1220e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1221e9 ) @ V1212l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.80 <=> ? [V1222l_27: $i] :
% 5.55/5.80 ( ( mem @ V1222l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1223e1: $i] :
% 5.55/5.80 ( ( mem @ V1223e1 @ A_27a )
% 5.55/5.80 & ? [V1224e2: $i] :
% 5.55/5.80 ( ( mem @ V1224e2 @ A_27a )
% 5.55/5.80 & ? [V1225e3: $i] :
% 5.55/5.80 ( ( mem @ V1225e3 @ A_27a )
% 5.55/5.80 & ? [V1226e4: $i] :
% 5.55/5.80 ( ( mem @ V1226e4 @ A_27a )
% 5.55/5.80 & ? [V1227e5: $i] :
% 5.55/5.80 ( ( mem @ V1227e5 @ A_27a )
% 5.55/5.80 & ? [V1228e6: $i] :
% 5.55/5.80 ( ( mem @ V1228e6 @ A_27a )
% 5.55/5.80 & ? [V1229e7: $i] :
% 5.55/5.80 ( ( mem @ V1229e7 @ A_27a )
% 5.55/5.80 & ? [V1230e8: $i] :
% 5.55/5.80 ( ( mem @ V1230e8 @ A_27a )
% 5.55/5.80 & ? [V1231e9: $i] :
% 5.55/5.80 ( ( mem @ V1231e9 @ A_27a )
% 5.55/5.80 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1222l_27 ) )
% 5.55/5.80 = V1x )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1223e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1224e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1225e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1226e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1227e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1228e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1229e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1230e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1231e9 ) @ V1222l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V1232l_27: $i] :
% 5.55/5.80 ( ( mem @ V1232l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1233e1: $i] :
% 5.55/5.80 ( ( mem @ V1233e1 @ A_27a )
% 5.55/5.80 & ? [V1234e2: $i] :
% 5.55/5.80 ( ( mem @ V1234e2 @ A_27a )
% 5.55/5.80 & ? [V1235e3: $i] :
% 5.55/5.80 ( ( mem @ V1235e3 @ A_27a )
% 5.55/5.80 & ? [V1236e4: $i] :
% 5.55/5.80 ( ( mem @ V1236e4 @ A_27a )
% 5.55/5.80 & ? [V1237e5: $i] :
% 5.55/5.80 ( ( mem @ V1237e5 @ A_27a )
% 5.55/5.80 & ? [V1238e6: $i] :
% 5.55/5.80 ( ( mem @ V1238e6 @ A_27a )
% 5.55/5.80 & ? [V1239e7: $i] :
% 5.55/5.80 ( ( mem @ V1239e7 @ A_27a )
% 5.55/5.80 & ? [V1240e8: $i] :
% 5.55/5.80 ( ( mem @ V1240e8 @ A_27a )
% 5.55/5.80 & ? [V1241e9: $i] :
% 5.55/5.80 ( ( mem @ V1241e9 @ A_27a )
% 5.55/5.80 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1232l_27 ) )
% 5.55/5.80 = V1x )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1233e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1234e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1235e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1236e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1237e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1238e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1239e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1240e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1241e9 ) @ V1232l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.80 <=> ? [V1242l_27: $i] :
% 5.55/5.80 ( ( mem @ V1242l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1243e1: $i] :
% 5.55/5.80 ( ( mem @ V1243e1 @ A_27a )
% 5.55/5.80 & ? [V1244e2: $i] :
% 5.55/5.80 ( ( mem @ V1244e2 @ A_27a )
% 5.55/5.80 & ? [V1245e3: $i] :
% 5.55/5.80 ( ( mem @ V1245e3 @ A_27a )
% 5.55/5.80 & ? [V1246e4: $i] :
% 5.55/5.80 ( ( mem @ V1246e4 @ A_27a )
% 5.55/5.80 & ? [V1247e5: $i] :
% 5.55/5.80 ( ( mem @ V1247e5 @ A_27a )
% 5.55/5.80 & ? [V1248e6: $i] :
% 5.55/5.80 ( ( mem @ V1248e6 @ A_27a )
% 5.55/5.80 & ? [V1249e7: $i] :
% 5.55/5.80 ( ( mem @ V1249e7 @ A_27a )
% 5.55/5.80 & ? [V1250e8: $i] :
% 5.55/5.80 ( ( mem @ V1250e8 @ A_27a )
% 5.55/5.80 & ? [V1251e9: $i] :
% 5.55/5.80 ( ( mem @ V1251e9 @ A_27a )
% 5.55/5.80 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1242l_27 ) )
% 5.55/5.80 = V1x )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1243e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1244e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1245e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1246e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1247e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1248e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1249e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1250e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1251e9 ) @ V1242l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V1252l_27: $i] :
% 5.55/5.80 ( ( mem @ V1252l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1253e1: $i] :
% 5.55/5.80 ( ( mem @ V1253e1 @ A_27a )
% 5.55/5.80 & ? [V1254e2: $i] :
% 5.55/5.80 ( ( mem @ V1254e2 @ A_27a )
% 5.55/5.80 & ? [V1255e3: $i] :
% 5.55/5.80 ( ( mem @ V1255e3 @ A_27a )
% 5.55/5.80 & ? [V1256e4: $i] :
% 5.55/5.80 ( ( mem @ V1256e4 @ A_27a )
% 5.55/5.80 & ? [V1257e5: $i] :
% 5.55/5.80 ( ( mem @ V1257e5 @ A_27a )
% 5.55/5.80 & ? [V1258e6: $i] :
% 5.55/5.80 ( ( mem @ V1258e6 @ A_27a )
% 5.55/5.80 & ? [V1259e7: $i] :
% 5.55/5.80 ( ( mem @ V1259e7 @ A_27a )
% 5.55/5.80 & ? [V1260e8: $i] :
% 5.55/5.80 ( ( mem @ V1260e8 @ A_27a )
% 5.55/5.80 & ? [V1261e9: $i] :
% 5.55/5.80 ( ( mem @ V1261e9 @ A_27a )
% 5.55/5.80 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1252l_27 ) )
% 5.55/5.80 = V1x )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1253e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1254e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1255e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1256e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1257e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1258e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1259e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1260e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1261e9 ) @ V1252l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.80 <=> ? [V1262e1: $i] :
% 5.55/5.80 ( ( mem @ V1262e1 @ A_27a )
% 5.55/5.80 & ? [V1263e2: $i] :
% 5.55/5.80 ( ( mem @ V1263e2 @ A_27a )
% 5.55/5.80 & ? [V1264e3: $i] :
% 5.55/5.80 ( ( mem @ V1264e3 @ A_27a )
% 5.55/5.80 & ? [V1265e4: $i] :
% 5.55/5.80 ( ( mem @ V1265e4 @ A_27a )
% 5.55/5.80 & ? [V1266e5: $i] :
% 5.55/5.80 ( ( mem @ V1266e5 @ A_27a )
% 5.55/5.80 & ? [V1267e6: $i] :
% 5.55/5.80 ( ( mem @ V1267e6 @ A_27a )
% 5.55/5.80 & ? [V1268e7: $i] :
% 5.55/5.80 ( ( mem @ V1268e7 @ A_27a )
% 5.55/5.80 & ? [V1269e8: $i] :
% 5.55/5.80 ( ( mem @ V1269e8 @ A_27a )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1262e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1263e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1264e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1265e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1266e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1267e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1268e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1269e8 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V1270e1: $i] :
% 5.55/5.80 ( ( mem @ V1270e1 @ A_27a )
% 5.55/5.80 & ? [V1271e2: $i] :
% 5.55/5.80 ( ( mem @ V1271e2 @ A_27a )
% 5.55/5.80 & ? [V1272e3: $i] :
% 5.55/5.80 ( ( mem @ V1272e3 @ A_27a )
% 5.55/5.80 & ? [V1273e4: $i] :
% 5.55/5.80 ( ( mem @ V1273e4 @ A_27a )
% 5.55/5.80 & ? [V1274e5: $i] :
% 5.55/5.80 ( ( mem @ V1274e5 @ A_27a )
% 5.55/5.80 & ? [V1275e6: $i] :
% 5.55/5.80 ( ( mem @ V1275e6 @ A_27a )
% 5.55/5.80 & ? [V1276e7: $i] :
% 5.55/5.80 ( ( mem @ V1276e7 @ A_27a )
% 5.55/5.80 & ? [V1277e8: $i] :
% 5.55/5.80 ( ( mem @ V1277e8 @ A_27a )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1270e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1271e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1272e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1273e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1274e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1275e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1276e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1277e8 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V1278l_27: $i] :
% 5.55/5.80 ( ( mem @ V1278l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1279e1: $i] :
% 5.55/5.80 ( ( mem @ V1279e1 @ A_27a )
% 5.55/5.80 & ? [V1280e2: $i] :
% 5.55/5.80 ( ( mem @ V1280e2 @ A_27a )
% 5.55/5.80 & ? [V1281e3: $i] :
% 5.55/5.80 ( ( mem @ V1281e3 @ A_27a )
% 5.55/5.80 & ? [V1282e4: $i] :
% 5.55/5.80 ( ( mem @ V1282e4 @ A_27a )
% 5.55/5.80 & ? [V1283e5: $i] :
% 5.55/5.80 ( ( mem @ V1283e5 @ A_27a )
% 5.55/5.80 & ? [V1284e6: $i] :
% 5.55/5.80 ( ( mem @ V1284e6 @ A_27a )
% 5.55/5.80 & ? [V1285e7: $i] :
% 5.55/5.80 ( ( mem @ V1285e7 @ A_27a )
% 5.55/5.80 & ? [V1286e8: $i] :
% 5.55/5.80 ( ( mem @ V1286e8 @ A_27a )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1279e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1280e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1281e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1282e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1283e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1284e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1285e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1286e8 ) @ V1278l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.80 <=> ? [V1287l_27: $i] :
% 5.55/5.80 ( ( mem @ V1287l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1288e1: $i] :
% 5.55/5.80 ( ( mem @ V1288e1 @ A_27a )
% 5.55/5.80 & ? [V1289e2: $i] :
% 5.55/5.80 ( ( mem @ V1289e2 @ A_27a )
% 5.55/5.80 & ? [V1290e3: $i] :
% 5.55/5.80 ( ( mem @ V1290e3 @ A_27a )
% 5.55/5.80 & ? [V1291e4: $i] :
% 5.55/5.80 ( ( mem @ V1291e4 @ A_27a )
% 5.55/5.80 & ? [V1292e5: $i] :
% 5.55/5.80 ( ( mem @ V1292e5 @ A_27a )
% 5.55/5.80 & ? [V1293e6: $i] :
% 5.55/5.80 ( ( mem @ V1293e6 @ A_27a )
% 5.55/5.80 & ? [V1294e7: $i] :
% 5.55/5.80 ( ( mem @ V1294e7 @ A_27a )
% 5.55/5.80 & ? [V1295e8: $i] :
% 5.55/5.80 ( ( mem @ V1295e8 @ A_27a )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1288e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1289e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1290e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1291e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1292e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1293e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1294e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1295e8 ) @ V1287l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V1296l_27: $i] :
% 5.55/5.80 ( ( mem @ V1296l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1297e1: $i] :
% 5.55/5.80 ( ( mem @ V1297e1 @ A_27a )
% 5.55/5.80 & ? [V1298e2: $i] :
% 5.55/5.80 ( ( mem @ V1298e2 @ A_27a )
% 5.55/5.80 & ? [V1299e3: $i] :
% 5.55/5.80 ( ( mem @ V1299e3 @ A_27a )
% 5.55/5.80 & ? [V1300e4: $i] :
% 5.55/5.80 ( ( mem @ V1300e4 @ A_27a )
% 5.55/5.80 & ? [V1301e5: $i] :
% 5.55/5.80 ( ( mem @ V1301e5 @ A_27a )
% 5.55/5.80 & ? [V1302e6: $i] :
% 5.55/5.80 ( ( mem @ V1302e6 @ A_27a )
% 5.55/5.80 & ? [V1303e7: $i] :
% 5.55/5.80 ( ( mem @ V1303e7 @ A_27a )
% 5.55/5.80 & ? [V1304e8: $i] :
% 5.55/5.80 ( ( mem @ V1304e8 @ A_27a )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1297e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1298e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1299e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1300e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1301e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1302e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1303e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1304e8 ) @ V1296l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.80 <=> ? [V1305l_27: $i] :
% 5.55/5.80 ( ( mem @ V1305l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1306e1: $i] :
% 5.55/5.80 ( ( mem @ V1306e1 @ A_27a )
% 5.55/5.80 & ? [V1307e2: $i] :
% 5.55/5.80 ( ( mem @ V1307e2 @ A_27a )
% 5.55/5.80 & ? [V1308e3: $i] :
% 5.55/5.80 ( ( mem @ V1308e3 @ A_27a )
% 5.55/5.80 & ? [V1309e4: $i] :
% 5.55/5.80 ( ( mem @ V1309e4 @ A_27a )
% 5.55/5.80 & ? [V1310e5: $i] :
% 5.55/5.80 ( ( mem @ V1310e5 @ A_27a )
% 5.55/5.80 & ? [V1311e6: $i] :
% 5.55/5.80 ( ( mem @ V1311e6 @ A_27a )
% 5.55/5.80 & ? [V1312e7: $i] :
% 5.55/5.80 ( ( mem @ V1312e7 @ A_27a )
% 5.55/5.80 & ? [V1313e8: $i] :
% 5.55/5.80 ( ( mem @ V1313e8 @ A_27a )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1306e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1307e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1308e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1309e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1310e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1311e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1312e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1313e8 ) @ V1305l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V1314l_27: $i] :
% 5.55/5.80 ( ( mem @ V1314l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1315e1: $i] :
% 5.55/5.80 ( ( mem @ V1315e1 @ A_27a )
% 5.55/5.80 & ? [V1316e2: $i] :
% 5.55/5.80 ( ( mem @ V1316e2 @ A_27a )
% 5.55/5.80 & ? [V1317e3: $i] :
% 5.55/5.80 ( ( mem @ V1317e3 @ A_27a )
% 5.55/5.80 & ? [V1318e4: $i] :
% 5.55/5.80 ( ( mem @ V1318e4 @ A_27a )
% 5.55/5.80 & ? [V1319e5: $i] :
% 5.55/5.80 ( ( mem @ V1319e5 @ A_27a )
% 5.55/5.80 & ? [V1320e6: $i] :
% 5.55/5.80 ( ( mem @ V1320e6 @ A_27a )
% 5.55/5.80 & ? [V1321e7: $i] :
% 5.55/5.80 ( ( mem @ V1321e7 @ A_27a )
% 5.55/5.80 & ? [V1322e8: $i] :
% 5.55/5.80 ( ( mem @ V1322e8 @ A_27a )
% 5.55/5.80 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1314l_27 ) ) )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1315e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1316e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1317e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1318e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1319e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1320e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1321e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1322e8 ) @ V1314l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.80 <=> ? [V1323l_27: $i] :
% 5.55/5.80 ( ( mem @ V1323l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1324e1: $i] :
% 5.55/5.80 ( ( mem @ V1324e1 @ A_27a )
% 5.55/5.80 & ? [V1325e2: $i] :
% 5.55/5.80 ( ( mem @ V1325e2 @ A_27a )
% 5.55/5.80 & ? [V1326e3: $i] :
% 5.55/5.80 ( ( mem @ V1326e3 @ A_27a )
% 5.55/5.80 & ? [V1327e4: $i] :
% 5.55/5.80 ( ( mem @ V1327e4 @ A_27a )
% 5.55/5.80 & ? [V1328e5: $i] :
% 5.55/5.80 ( ( mem @ V1328e5 @ A_27a )
% 5.55/5.80 & ? [V1329e6: $i] :
% 5.55/5.80 ( ( mem @ V1329e6 @ A_27a )
% 5.55/5.80 & ? [V1330e7: $i] :
% 5.55/5.80 ( ( mem @ V1330e7 @ A_27a )
% 5.55/5.80 & ? [V1331e8: $i] :
% 5.55/5.80 ( ( mem @ V1331e8 @ A_27a )
% 5.55/5.80 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1323l_27 ) ) )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1324e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1325e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1326e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1327e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1328e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1329e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1330e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1331e8 ) @ V1323l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V1332l_27: $i] :
% 5.55/5.80 ( ( mem @ V1332l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1333e1: $i] :
% 5.55/5.80 ( ( mem @ V1333e1 @ A_27a )
% 5.55/5.80 & ? [V1334e2: $i] :
% 5.55/5.80 ( ( mem @ V1334e2 @ A_27a )
% 5.55/5.80 & ? [V1335e3: $i] :
% 5.55/5.80 ( ( mem @ V1335e3 @ A_27a )
% 5.55/5.80 & ? [V1336e4: $i] :
% 5.55/5.80 ( ( mem @ V1336e4 @ A_27a )
% 5.55/5.80 & ? [V1337e5: $i] :
% 5.55/5.80 ( ( mem @ V1337e5 @ A_27a )
% 5.55/5.80 & ? [V1338e6: $i] :
% 5.55/5.80 ( ( mem @ V1338e6 @ A_27a )
% 5.55/5.80 & ? [V1339e7: $i] :
% 5.55/5.80 ( ( mem @ V1339e7 @ A_27a )
% 5.55/5.80 & ? [V1340e8: $i] :
% 5.55/5.80 ( ( mem @ V1340e8 @ A_27a )
% 5.55/5.80 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1332l_27 ) ) )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1333e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1334e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1335e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1336e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1337e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1338e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1339e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1340e8 ) @ V1332l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.80 <=> ? [V1341l_27: $i] :
% 5.55/5.80 ( ( mem @ V1341l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1342e1: $i] :
% 5.55/5.80 ( ( mem @ V1342e1 @ A_27a )
% 5.55/5.80 & ? [V1343e2: $i] :
% 5.55/5.80 ( ( mem @ V1343e2 @ A_27a )
% 5.55/5.80 & ? [V1344e3: $i] :
% 5.55/5.80 ( ( mem @ V1344e3 @ A_27a )
% 5.55/5.80 & ? [V1345e4: $i] :
% 5.55/5.80 ( ( mem @ V1345e4 @ A_27a )
% 5.55/5.80 & ? [V1346e5: $i] :
% 5.55/5.80 ( ( mem @ V1346e5 @ A_27a )
% 5.55/5.80 & ? [V1347e6: $i] :
% 5.55/5.80 ( ( mem @ V1347e6 @ A_27a )
% 5.55/5.80 & ? [V1348e7: $i] :
% 5.55/5.80 ( ( mem @ V1348e7 @ A_27a )
% 5.55/5.80 & ? [V1349e8: $i] :
% 5.55/5.80 ( ( mem @ V1349e8 @ A_27a )
% 5.55/5.80 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1341l_27 ) ) )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1342e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1343e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1344e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1345e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1346e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1347e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1348e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1349e8 ) @ V1341l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.80 <=> ? [V1350l_27: $i] :
% 5.55/5.80 ( ( mem @ V1350l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1351e1: $i] :
% 5.55/5.80 ( ( mem @ V1351e1 @ A_27a )
% 5.55/5.80 & ? [V1352e2: $i] :
% 5.55/5.80 ( ( mem @ V1352e2 @ A_27a )
% 5.55/5.80 & ? [V1353e3: $i] :
% 5.55/5.80 ( ( mem @ V1353e3 @ A_27a )
% 5.55/5.80 & ? [V1354e4: $i] :
% 5.55/5.80 ( ( mem @ V1354e4 @ A_27a )
% 5.55/5.80 & ? [V1355e5: $i] :
% 5.55/5.80 ( ( mem @ V1355e5 @ A_27a )
% 5.55/5.80 & ? [V1356e6: $i] :
% 5.55/5.80 ( ( mem @ V1356e6 @ A_27a )
% 5.55/5.80 & ? [V1357e7: $i] :
% 5.55/5.80 ( ( mem @ V1357e7 @ A_27a )
% 5.55/5.80 & ? [V1358e8: $i] :
% 5.55/5.80 ( ( mem @ V1358e8 @ A_27a )
% 5.55/5.80 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1350l_27 ) )
% 5.55/5.80 = V1x )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1351e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1352e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1353e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1354e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1355e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1356e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1357e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1358e8 ) @ V1350l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V1359l_27: $i] :
% 5.55/5.80 ( ( mem @ V1359l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1360e1: $i] :
% 5.55/5.80 ( ( mem @ V1360e1 @ A_27a )
% 5.55/5.80 & ? [V1361e2: $i] :
% 5.55/5.80 ( ( mem @ V1361e2 @ A_27a )
% 5.55/5.80 & ? [V1362e3: $i] :
% 5.55/5.80 ( ( mem @ V1362e3 @ A_27a )
% 5.55/5.80 & ? [V1363e4: $i] :
% 5.55/5.80 ( ( mem @ V1363e4 @ A_27a )
% 5.55/5.80 & ? [V1364e5: $i] :
% 5.55/5.80 ( ( mem @ V1364e5 @ A_27a )
% 5.55/5.80 & ? [V1365e6: $i] :
% 5.55/5.80 ( ( mem @ V1365e6 @ A_27a )
% 5.55/5.80 & ? [V1366e7: $i] :
% 5.55/5.80 ( ( mem @ V1366e7 @ A_27a )
% 5.55/5.80 & ? [V1367e8: $i] :
% 5.55/5.80 ( ( mem @ V1367e8 @ A_27a )
% 5.55/5.80 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1359l_27 ) )
% 5.55/5.80 = V1x )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1360e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1361e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1362e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1363e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1364e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1365e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1366e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1367e8 ) @ V1359l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.80 <=> ? [V1368l_27: $i] :
% 5.55/5.80 ( ( mem @ V1368l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1369e1: $i] :
% 5.55/5.80 ( ( mem @ V1369e1 @ A_27a )
% 5.55/5.80 & ? [V1370e2: $i] :
% 5.55/5.80 ( ( mem @ V1370e2 @ A_27a )
% 5.55/5.80 & ? [V1371e3: $i] :
% 5.55/5.80 ( ( mem @ V1371e3 @ A_27a )
% 5.55/5.80 & ? [V1372e4: $i] :
% 5.55/5.80 ( ( mem @ V1372e4 @ A_27a )
% 5.55/5.80 & ? [V1373e5: $i] :
% 5.55/5.80 ( ( mem @ V1373e5 @ A_27a )
% 5.55/5.80 & ? [V1374e6: $i] :
% 5.55/5.80 ( ( mem @ V1374e6 @ A_27a )
% 5.55/5.80 & ? [V1375e7: $i] :
% 5.55/5.80 ( ( mem @ V1375e7 @ A_27a )
% 5.55/5.80 & ? [V1376e8: $i] :
% 5.55/5.80 ( ( mem @ V1376e8 @ A_27a )
% 5.55/5.80 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1368l_27 ) )
% 5.55/5.80 = V1x )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1369e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1370e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1371e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1372e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1373e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1374e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1375e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1376e8 ) @ V1368l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V1377l_27: $i] :
% 5.55/5.80 ( ( mem @ V1377l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1378e1: $i] :
% 5.55/5.80 ( ( mem @ V1378e1 @ A_27a )
% 5.55/5.80 & ? [V1379e2: $i] :
% 5.55/5.80 ( ( mem @ V1379e2 @ A_27a )
% 5.55/5.80 & ? [V1380e3: $i] :
% 5.55/5.80 ( ( mem @ V1380e3 @ A_27a )
% 5.55/5.80 & ? [V1381e4: $i] :
% 5.55/5.80 ( ( mem @ V1381e4 @ A_27a )
% 5.55/5.80 & ? [V1382e5: $i] :
% 5.55/5.80 ( ( mem @ V1382e5 @ A_27a )
% 5.55/5.80 & ? [V1383e6: $i] :
% 5.55/5.80 ( ( mem @ V1383e6 @ A_27a )
% 5.55/5.80 & ? [V1384e7: $i] :
% 5.55/5.80 ( ( mem @ V1384e7 @ A_27a )
% 5.55/5.80 & ? [V1385e8: $i] :
% 5.55/5.80 ( ( mem @ V1385e8 @ A_27a )
% 5.55/5.80 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1377l_27 ) )
% 5.55/5.80 = V1x )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1378e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1379e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1380e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1381e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1382e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1383e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1384e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1385e8 ) @ V1377l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.80 <=> ? [V1386e1: $i] :
% 5.55/5.80 ( ( mem @ V1386e1 @ A_27a )
% 5.55/5.80 & ? [V1387e2: $i] :
% 5.55/5.80 ( ( mem @ V1387e2 @ A_27a )
% 5.55/5.80 & ? [V1388e3: $i] :
% 5.55/5.80 ( ( mem @ V1388e3 @ A_27a )
% 5.55/5.80 & ? [V1389e4: $i] :
% 5.55/5.80 ( ( mem @ V1389e4 @ A_27a )
% 5.55/5.80 & ? [V1390e5: $i] :
% 5.55/5.80 ( ( mem @ V1390e5 @ A_27a )
% 5.55/5.80 & ? [V1391e6: $i] :
% 5.55/5.80 ( ( mem @ V1391e6 @ A_27a )
% 5.55/5.80 & ? [V1392e7: $i] :
% 5.55/5.80 ( ( mem @ V1392e7 @ A_27a )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1386e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1387e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1388e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1389e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1390e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1391e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1392e7 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V1393e1: $i] :
% 5.55/5.80 ( ( mem @ V1393e1 @ A_27a )
% 5.55/5.80 & ? [V1394e2: $i] :
% 5.55/5.80 ( ( mem @ V1394e2 @ A_27a )
% 5.55/5.80 & ? [V1395e3: $i] :
% 5.55/5.80 ( ( mem @ V1395e3 @ A_27a )
% 5.55/5.80 & ? [V1396e4: $i] :
% 5.55/5.80 ( ( mem @ V1396e4 @ A_27a )
% 5.55/5.80 & ? [V1397e5: $i] :
% 5.55/5.80 ( ( mem @ V1397e5 @ A_27a )
% 5.55/5.80 & ? [V1398e6: $i] :
% 5.55/5.80 ( ( mem @ V1398e6 @ A_27a )
% 5.55/5.80 & ? [V1399e7: $i] :
% 5.55/5.80 ( ( mem @ V1399e7 @ A_27a )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1393e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1394e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1395e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1396e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1397e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1398e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1399e7 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V1400l_27: $i] :
% 5.55/5.80 ( ( mem @ V1400l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1401e1: $i] :
% 5.55/5.80 ( ( mem @ V1401e1 @ A_27a )
% 5.55/5.80 & ? [V1402e2: $i] :
% 5.55/5.80 ( ( mem @ V1402e2 @ A_27a )
% 5.55/5.80 & ? [V1403e3: $i] :
% 5.55/5.80 ( ( mem @ V1403e3 @ A_27a )
% 5.55/5.80 & ? [V1404e4: $i] :
% 5.55/5.80 ( ( mem @ V1404e4 @ A_27a )
% 5.55/5.80 & ? [V1405e5: $i] :
% 5.55/5.80 ( ( mem @ V1405e5 @ A_27a )
% 5.55/5.80 & ? [V1406e6: $i] :
% 5.55/5.80 ( ( mem @ V1406e6 @ A_27a )
% 5.55/5.80 & ? [V1407e7: $i] :
% 5.55/5.80 ( ( mem @ V1407e7 @ A_27a )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1401e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1402e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1403e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1404e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1405e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1406e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1407e7 ) @ V1400l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.80 <=> ? [V1408l_27: $i] :
% 5.55/5.80 ( ( mem @ V1408l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1409e1: $i] :
% 5.55/5.80 ( ( mem @ V1409e1 @ A_27a )
% 5.55/5.80 & ? [V1410e2: $i] :
% 5.55/5.80 ( ( mem @ V1410e2 @ A_27a )
% 5.55/5.80 & ? [V1411e3: $i] :
% 5.55/5.80 ( ( mem @ V1411e3 @ A_27a )
% 5.55/5.80 & ? [V1412e4: $i] :
% 5.55/5.80 ( ( mem @ V1412e4 @ A_27a )
% 5.55/5.80 & ? [V1413e5: $i] :
% 5.55/5.80 ( ( mem @ V1413e5 @ A_27a )
% 5.55/5.80 & ? [V1414e6: $i] :
% 5.55/5.80 ( ( mem @ V1414e6 @ A_27a )
% 5.55/5.80 & ? [V1415e7: $i] :
% 5.55/5.80 ( ( mem @ V1415e7 @ A_27a )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1409e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1410e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1411e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1412e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1413e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1414e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1415e7 ) @ V1408l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V1416l_27: $i] :
% 5.55/5.80 ( ( mem @ V1416l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1417e1: $i] :
% 5.55/5.80 ( ( mem @ V1417e1 @ A_27a )
% 5.55/5.80 & ? [V1418e2: $i] :
% 5.55/5.80 ( ( mem @ V1418e2 @ A_27a )
% 5.55/5.80 & ? [V1419e3: $i] :
% 5.55/5.80 ( ( mem @ V1419e3 @ A_27a )
% 5.55/5.80 & ? [V1420e4: $i] :
% 5.55/5.80 ( ( mem @ V1420e4 @ A_27a )
% 5.55/5.80 & ? [V1421e5: $i] :
% 5.55/5.80 ( ( mem @ V1421e5 @ A_27a )
% 5.55/5.80 & ? [V1422e6: $i] :
% 5.55/5.80 ( ( mem @ V1422e6 @ A_27a )
% 5.55/5.80 & ? [V1423e7: $i] :
% 5.55/5.80 ( ( mem @ V1423e7 @ A_27a )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1417e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1418e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1419e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1420e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1421e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1422e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1423e7 ) @ V1416l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.80 <=> ? [V1424l_27: $i] :
% 5.55/5.80 ( ( mem @ V1424l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1425e1: $i] :
% 5.55/5.80 ( ( mem @ V1425e1 @ A_27a )
% 5.55/5.80 & ? [V1426e2: $i] :
% 5.55/5.80 ( ( mem @ V1426e2 @ A_27a )
% 5.55/5.80 & ? [V1427e3: $i] :
% 5.55/5.80 ( ( mem @ V1427e3 @ A_27a )
% 5.55/5.80 & ? [V1428e4: $i] :
% 5.55/5.80 ( ( mem @ V1428e4 @ A_27a )
% 5.55/5.80 & ? [V1429e5: $i] :
% 5.55/5.80 ( ( mem @ V1429e5 @ A_27a )
% 5.55/5.80 & ? [V1430e6: $i] :
% 5.55/5.80 ( ( mem @ V1430e6 @ A_27a )
% 5.55/5.80 & ? [V1431e7: $i] :
% 5.55/5.80 ( ( mem @ V1431e7 @ A_27a )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1425e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1426e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1427e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1428e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1429e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1430e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1431e7 ) @ V1424l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V1432l_27: $i] :
% 5.55/5.80 ( ( mem @ V1432l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1433e1: $i] :
% 5.55/5.80 ( ( mem @ V1433e1 @ A_27a )
% 5.55/5.80 & ? [V1434e2: $i] :
% 5.55/5.80 ( ( mem @ V1434e2 @ A_27a )
% 5.55/5.80 & ? [V1435e3: $i] :
% 5.55/5.80 ( ( mem @ V1435e3 @ A_27a )
% 5.55/5.80 & ? [V1436e4: $i] :
% 5.55/5.80 ( ( mem @ V1436e4 @ A_27a )
% 5.55/5.80 & ? [V1437e5: $i] :
% 5.55/5.80 ( ( mem @ V1437e5 @ A_27a )
% 5.55/5.80 & ? [V1438e6: $i] :
% 5.55/5.80 ( ( mem @ V1438e6 @ A_27a )
% 5.55/5.80 & ? [V1439e7: $i] :
% 5.55/5.80 ( ( mem @ V1439e7 @ A_27a )
% 5.55/5.80 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1432l_27 ) ) )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1433e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1434e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1435e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1436e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1437e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1438e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1439e7 ) @ V1432l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.80 <=> ? [V1440l_27: $i] :
% 5.55/5.80 ( ( mem @ V1440l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1441e1: $i] :
% 5.55/5.80 ( ( mem @ V1441e1 @ A_27a )
% 5.55/5.80 & ? [V1442e2: $i] :
% 5.55/5.80 ( ( mem @ V1442e2 @ A_27a )
% 5.55/5.80 & ? [V1443e3: $i] :
% 5.55/5.80 ( ( mem @ V1443e3 @ A_27a )
% 5.55/5.80 & ? [V1444e4: $i] :
% 5.55/5.80 ( ( mem @ V1444e4 @ A_27a )
% 5.55/5.80 & ? [V1445e5: $i] :
% 5.55/5.80 ( ( mem @ V1445e5 @ A_27a )
% 5.55/5.80 & ? [V1446e6: $i] :
% 5.55/5.80 ( ( mem @ V1446e6 @ A_27a )
% 5.55/5.80 & ? [V1447e7: $i] :
% 5.55/5.80 ( ( mem @ V1447e7 @ A_27a )
% 5.55/5.80 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1440l_27 ) ) )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1441e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1442e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1443e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1444e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1445e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1446e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1447e7 ) @ V1440l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V1448l_27: $i] :
% 5.55/5.80 ( ( mem @ V1448l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1449e1: $i] :
% 5.55/5.80 ( ( mem @ V1449e1 @ A_27a )
% 5.55/5.80 & ? [V1450e2: $i] :
% 5.55/5.80 ( ( mem @ V1450e2 @ A_27a )
% 5.55/5.80 & ? [V1451e3: $i] :
% 5.55/5.80 ( ( mem @ V1451e3 @ A_27a )
% 5.55/5.80 & ? [V1452e4: $i] :
% 5.55/5.80 ( ( mem @ V1452e4 @ A_27a )
% 5.55/5.80 & ? [V1453e5: $i] :
% 5.55/5.80 ( ( mem @ V1453e5 @ A_27a )
% 5.55/5.80 & ? [V1454e6: $i] :
% 5.55/5.80 ( ( mem @ V1454e6 @ A_27a )
% 5.55/5.80 & ? [V1455e7: $i] :
% 5.55/5.80 ( ( mem @ V1455e7 @ A_27a )
% 5.55/5.80 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1448l_27 ) ) )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1449e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1450e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1451e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1452e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1453e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1454e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1455e7 ) @ V1448l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.80 <=> ? [V1456l_27: $i] :
% 5.55/5.80 ( ( mem @ V1456l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1457e1: $i] :
% 5.55/5.80 ( ( mem @ V1457e1 @ A_27a )
% 5.55/5.80 & ? [V1458e2: $i] :
% 5.55/5.80 ( ( mem @ V1458e2 @ A_27a )
% 5.55/5.80 & ? [V1459e3: $i] :
% 5.55/5.80 ( ( mem @ V1459e3 @ A_27a )
% 5.55/5.80 & ? [V1460e4: $i] :
% 5.55/5.80 ( ( mem @ V1460e4 @ A_27a )
% 5.55/5.80 & ? [V1461e5: $i] :
% 5.55/5.80 ( ( mem @ V1461e5 @ A_27a )
% 5.55/5.80 & ? [V1462e6: $i] :
% 5.55/5.80 ( ( mem @ V1462e6 @ A_27a )
% 5.55/5.80 & ? [V1463e7: $i] :
% 5.55/5.80 ( ( mem @ V1463e7 @ A_27a )
% 5.55/5.80 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1456l_27 ) ) )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1457e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1458e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1459e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1460e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1461e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1462e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1463e7 ) @ V1456l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.80 <=> ? [V1464l_27: $i] :
% 5.55/5.80 ( ( mem @ V1464l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1465e1: $i] :
% 5.55/5.80 ( ( mem @ V1465e1 @ A_27a )
% 5.55/5.80 & ? [V1466e2: $i] :
% 5.55/5.80 ( ( mem @ V1466e2 @ A_27a )
% 5.55/5.80 & ? [V1467e3: $i] :
% 5.55/5.80 ( ( mem @ V1467e3 @ A_27a )
% 5.55/5.80 & ? [V1468e4: $i] :
% 5.55/5.80 ( ( mem @ V1468e4 @ A_27a )
% 5.55/5.80 & ? [V1469e5: $i] :
% 5.55/5.80 ( ( mem @ V1469e5 @ A_27a )
% 5.55/5.80 & ? [V1470e6: $i] :
% 5.55/5.80 ( ( mem @ V1470e6 @ A_27a )
% 5.55/5.80 & ? [V1471e7: $i] :
% 5.55/5.80 ( ( mem @ V1471e7 @ A_27a )
% 5.55/5.80 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1464l_27 ) )
% 5.55/5.80 = V1x )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1465e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1466e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1467e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1468e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1469e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1470e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1471e7 ) @ V1464l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V1472l_27: $i] :
% 5.55/5.80 ( ( mem @ V1472l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1473e1: $i] :
% 5.55/5.80 ( ( mem @ V1473e1 @ A_27a )
% 5.55/5.80 & ? [V1474e2: $i] :
% 5.55/5.80 ( ( mem @ V1474e2 @ A_27a )
% 5.55/5.80 & ? [V1475e3: $i] :
% 5.55/5.80 ( ( mem @ V1475e3 @ A_27a )
% 5.55/5.80 & ? [V1476e4: $i] :
% 5.55/5.80 ( ( mem @ V1476e4 @ A_27a )
% 5.55/5.80 & ? [V1477e5: $i] :
% 5.55/5.80 ( ( mem @ V1477e5 @ A_27a )
% 5.55/5.80 & ? [V1478e6: $i] :
% 5.55/5.80 ( ( mem @ V1478e6 @ A_27a )
% 5.55/5.80 & ? [V1479e7: $i] :
% 5.55/5.80 ( ( mem @ V1479e7 @ A_27a )
% 5.55/5.80 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1472l_27 ) )
% 5.55/5.80 = V1x )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1473e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1474e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1475e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1476e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1477e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1478e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1479e7 ) @ V1472l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.80 <=> ? [V1480l_27: $i] :
% 5.55/5.80 ( ( mem @ V1480l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1481e1: $i] :
% 5.55/5.80 ( ( mem @ V1481e1 @ A_27a )
% 5.55/5.80 & ? [V1482e2: $i] :
% 5.55/5.80 ( ( mem @ V1482e2 @ A_27a )
% 5.55/5.80 & ? [V1483e3: $i] :
% 5.55/5.80 ( ( mem @ V1483e3 @ A_27a )
% 5.55/5.80 & ? [V1484e4: $i] :
% 5.55/5.80 ( ( mem @ V1484e4 @ A_27a )
% 5.55/5.80 & ? [V1485e5: $i] :
% 5.55/5.80 ( ( mem @ V1485e5 @ A_27a )
% 5.55/5.80 & ? [V1486e6: $i] :
% 5.55/5.80 ( ( mem @ V1486e6 @ A_27a )
% 5.55/5.80 & ? [V1487e7: $i] :
% 5.55/5.80 ( ( mem @ V1487e7 @ A_27a )
% 5.55/5.80 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1480l_27 ) )
% 5.55/5.80 = V1x )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1481e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1482e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1483e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1484e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1485e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1486e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1487e7 ) @ V1480l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V1488l_27: $i] :
% 5.55/5.80 ( ( mem @ V1488l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1489e1: $i] :
% 5.55/5.80 ( ( mem @ V1489e1 @ A_27a )
% 5.55/5.80 & ? [V1490e2: $i] :
% 5.55/5.80 ( ( mem @ V1490e2 @ A_27a )
% 5.55/5.80 & ? [V1491e3: $i] :
% 5.55/5.80 ( ( mem @ V1491e3 @ A_27a )
% 5.55/5.80 & ? [V1492e4: $i] :
% 5.55/5.80 ( ( mem @ V1492e4 @ A_27a )
% 5.55/5.80 & ? [V1493e5: $i] :
% 5.55/5.80 ( ( mem @ V1493e5 @ A_27a )
% 5.55/5.80 & ? [V1494e6: $i] :
% 5.55/5.80 ( ( mem @ V1494e6 @ A_27a )
% 5.55/5.80 & ? [V1495e7: $i] :
% 5.55/5.80 ( ( mem @ V1495e7 @ A_27a )
% 5.55/5.80 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1488l_27 ) )
% 5.55/5.80 = V1x )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1489e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1490e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1491e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1492e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1493e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1494e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1495e7 ) @ V1488l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.80 <=> ? [V1496e1: $i] :
% 5.55/5.80 ( ( mem @ V1496e1 @ A_27a )
% 5.55/5.80 & ? [V1497e2: $i] :
% 5.55/5.80 ( ( mem @ V1497e2 @ A_27a )
% 5.55/5.80 & ? [V1498e3: $i] :
% 5.55/5.80 ( ( mem @ V1498e3 @ A_27a )
% 5.55/5.80 & ? [V1499e4: $i] :
% 5.55/5.80 ( ( mem @ V1499e4 @ A_27a )
% 5.55/5.80 & ? [V1500e5: $i] :
% 5.55/5.80 ( ( mem @ V1500e5 @ A_27a )
% 5.55/5.80 & ? [V1501e6: $i] :
% 5.55/5.80 ( ( mem @ V1501e6 @ A_27a )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1496e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1497e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1498e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1499e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1500e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1501e6 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V1502e1: $i] :
% 5.55/5.80 ( ( mem @ V1502e1 @ A_27a )
% 5.55/5.80 & ? [V1503e2: $i] :
% 5.55/5.80 ( ( mem @ V1503e2 @ A_27a )
% 5.55/5.80 & ? [V1504e3: $i] :
% 5.55/5.80 ( ( mem @ V1504e3 @ A_27a )
% 5.55/5.80 & ? [V1505e4: $i] :
% 5.55/5.80 ( ( mem @ V1505e4 @ A_27a )
% 5.55/5.80 & ? [V1506e5: $i] :
% 5.55/5.80 ( ( mem @ V1506e5 @ A_27a )
% 5.55/5.80 & ? [V1507e6: $i] :
% 5.55/5.80 ( ( mem @ V1507e6 @ A_27a )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1502e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1503e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1504e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1505e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1506e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1507e6 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V1508l_27: $i] :
% 5.55/5.80 ( ( mem @ V1508l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1509e1: $i] :
% 5.55/5.80 ( ( mem @ V1509e1 @ A_27a )
% 5.55/5.80 & ? [V1510e2: $i] :
% 5.55/5.80 ( ( mem @ V1510e2 @ A_27a )
% 5.55/5.80 & ? [V1511e3: $i] :
% 5.55/5.80 ( ( mem @ V1511e3 @ A_27a )
% 5.55/5.80 & ? [V1512e4: $i] :
% 5.55/5.80 ( ( mem @ V1512e4 @ A_27a )
% 5.55/5.80 & ? [V1513e5: $i] :
% 5.55/5.80 ( ( mem @ V1513e5 @ A_27a )
% 5.55/5.80 & ? [V1514e6: $i] :
% 5.55/5.80 ( ( mem @ V1514e6 @ A_27a )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1509e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1510e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1511e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1512e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1513e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1514e6 ) @ V1508l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.80 <=> ? [V1515l_27: $i] :
% 5.55/5.80 ( ( mem @ V1515l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1516e1: $i] :
% 5.55/5.80 ( ( mem @ V1516e1 @ A_27a )
% 5.55/5.80 & ? [V1517e2: $i] :
% 5.55/5.80 ( ( mem @ V1517e2 @ A_27a )
% 5.55/5.80 & ? [V1518e3: $i] :
% 5.55/5.80 ( ( mem @ V1518e3 @ A_27a )
% 5.55/5.80 & ? [V1519e4: $i] :
% 5.55/5.80 ( ( mem @ V1519e4 @ A_27a )
% 5.55/5.80 & ? [V1520e5: $i] :
% 5.55/5.80 ( ( mem @ V1520e5 @ A_27a )
% 5.55/5.80 & ? [V1521e6: $i] :
% 5.55/5.80 ( ( mem @ V1521e6 @ A_27a )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1516e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1517e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1518e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1519e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1520e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1521e6 ) @ V1515l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V1522l_27: $i] :
% 5.55/5.80 ( ( mem @ V1522l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1523e1: $i] :
% 5.55/5.80 ( ( mem @ V1523e1 @ A_27a )
% 5.55/5.80 & ? [V1524e2: $i] :
% 5.55/5.80 ( ( mem @ V1524e2 @ A_27a )
% 5.55/5.80 & ? [V1525e3: $i] :
% 5.55/5.80 ( ( mem @ V1525e3 @ A_27a )
% 5.55/5.80 & ? [V1526e4: $i] :
% 5.55/5.80 ( ( mem @ V1526e4 @ A_27a )
% 5.55/5.80 & ? [V1527e5: $i] :
% 5.55/5.80 ( ( mem @ V1527e5 @ A_27a )
% 5.55/5.80 & ? [V1528e6: $i] :
% 5.55/5.80 ( ( mem @ V1528e6 @ A_27a )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1523e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1524e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1525e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1526e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1527e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1528e6 ) @ V1522l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.80 <=> ? [V1529l_27: $i] :
% 5.55/5.80 ( ( mem @ V1529l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1530e1: $i] :
% 5.55/5.80 ( ( mem @ V1530e1 @ A_27a )
% 5.55/5.80 & ? [V1531e2: $i] :
% 5.55/5.80 ( ( mem @ V1531e2 @ A_27a )
% 5.55/5.80 & ? [V1532e3: $i] :
% 5.55/5.80 ( ( mem @ V1532e3 @ A_27a )
% 5.55/5.80 & ? [V1533e4: $i] :
% 5.55/5.80 ( ( mem @ V1533e4 @ A_27a )
% 5.55/5.80 & ? [V1534e5: $i] :
% 5.55/5.80 ( ( mem @ V1534e5 @ A_27a )
% 5.55/5.80 & ? [V1535e6: $i] :
% 5.55/5.80 ( ( mem @ V1535e6 @ A_27a )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1530e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1531e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1532e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1533e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1534e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1535e6 ) @ V1529l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V1536l_27: $i] :
% 5.55/5.80 ( ( mem @ V1536l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1537e1: $i] :
% 5.55/5.80 ( ( mem @ V1537e1 @ A_27a )
% 5.55/5.80 & ? [V1538e2: $i] :
% 5.55/5.80 ( ( mem @ V1538e2 @ A_27a )
% 5.55/5.80 & ? [V1539e3: $i] :
% 5.55/5.80 ( ( mem @ V1539e3 @ A_27a )
% 5.55/5.80 & ? [V1540e4: $i] :
% 5.55/5.80 ( ( mem @ V1540e4 @ A_27a )
% 5.55/5.80 & ? [V1541e5: $i] :
% 5.55/5.80 ( ( mem @ V1541e5 @ A_27a )
% 5.55/5.80 & ? [V1542e6: $i] :
% 5.55/5.80 ( ( mem @ V1542e6 @ A_27a )
% 5.55/5.80 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1536l_27 ) ) )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1537e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1538e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1539e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1540e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1541e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1542e6 ) @ V1536l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.80 <=> ? [V1543l_27: $i] :
% 5.55/5.80 ( ( mem @ V1543l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1544e1: $i] :
% 5.55/5.80 ( ( mem @ V1544e1 @ A_27a )
% 5.55/5.80 & ? [V1545e2: $i] :
% 5.55/5.80 ( ( mem @ V1545e2 @ A_27a )
% 5.55/5.80 & ? [V1546e3: $i] :
% 5.55/5.80 ( ( mem @ V1546e3 @ A_27a )
% 5.55/5.80 & ? [V1547e4: $i] :
% 5.55/5.80 ( ( mem @ V1547e4 @ A_27a )
% 5.55/5.80 & ? [V1548e5: $i] :
% 5.55/5.80 ( ( mem @ V1548e5 @ A_27a )
% 5.55/5.80 & ? [V1549e6: $i] :
% 5.55/5.80 ( ( mem @ V1549e6 @ A_27a )
% 5.55/5.80 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1543l_27 ) ) )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1544e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1545e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1546e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1547e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1548e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1549e6 ) @ V1543l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V1550l_27: $i] :
% 5.55/5.80 ( ( mem @ V1550l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1551e1: $i] :
% 5.55/5.80 ( ( mem @ V1551e1 @ A_27a )
% 5.55/5.80 & ? [V1552e2: $i] :
% 5.55/5.80 ( ( mem @ V1552e2 @ A_27a )
% 5.55/5.80 & ? [V1553e3: $i] :
% 5.55/5.80 ( ( mem @ V1553e3 @ A_27a )
% 5.55/5.80 & ? [V1554e4: $i] :
% 5.55/5.80 ( ( mem @ V1554e4 @ A_27a )
% 5.55/5.80 & ? [V1555e5: $i] :
% 5.55/5.80 ( ( mem @ V1555e5 @ A_27a )
% 5.55/5.80 & ? [V1556e6: $i] :
% 5.55/5.80 ( ( mem @ V1556e6 @ A_27a )
% 5.55/5.80 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1550l_27 ) ) )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1551e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1552e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1553e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1554e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1555e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1556e6 ) @ V1550l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.80 <=> ? [V1557l_27: $i] :
% 5.55/5.80 ( ( mem @ V1557l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1558e1: $i] :
% 5.55/5.80 ( ( mem @ V1558e1 @ A_27a )
% 5.55/5.80 & ? [V1559e2: $i] :
% 5.55/5.80 ( ( mem @ V1559e2 @ A_27a )
% 5.55/5.80 & ? [V1560e3: $i] :
% 5.55/5.80 ( ( mem @ V1560e3 @ A_27a )
% 5.55/5.80 & ? [V1561e4: $i] :
% 5.55/5.80 ( ( mem @ V1561e4 @ A_27a )
% 5.55/5.80 & ? [V1562e5: $i] :
% 5.55/5.80 ( ( mem @ V1562e5 @ A_27a )
% 5.55/5.80 & ? [V1563e6: $i] :
% 5.55/5.80 ( ( mem @ V1563e6 @ A_27a )
% 5.55/5.80 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1557l_27 ) ) )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1558e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1559e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1560e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1561e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1562e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1563e6 ) @ V1557l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.80 <=> ? [V1564l_27: $i] :
% 5.55/5.80 ( ( mem @ V1564l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1565e1: $i] :
% 5.55/5.80 ( ( mem @ V1565e1 @ A_27a )
% 5.55/5.80 & ? [V1566e2: $i] :
% 5.55/5.80 ( ( mem @ V1566e2 @ A_27a )
% 5.55/5.80 & ? [V1567e3: $i] :
% 5.55/5.80 ( ( mem @ V1567e3 @ A_27a )
% 5.55/5.80 & ? [V1568e4: $i] :
% 5.55/5.80 ( ( mem @ V1568e4 @ A_27a )
% 5.55/5.80 & ? [V1569e5: $i] :
% 5.55/5.80 ( ( mem @ V1569e5 @ A_27a )
% 5.55/5.80 & ? [V1570e6: $i] :
% 5.55/5.80 ( ( mem @ V1570e6 @ A_27a )
% 5.55/5.80 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1564l_27 ) )
% 5.55/5.80 = V1x )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1565e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1566e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1567e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1568e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1569e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1570e6 ) @ V1564l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V1571l_27: $i] :
% 5.55/5.80 ( ( mem @ V1571l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1572e1: $i] :
% 5.55/5.80 ( ( mem @ V1572e1 @ A_27a )
% 5.55/5.80 & ? [V1573e2: $i] :
% 5.55/5.80 ( ( mem @ V1573e2 @ A_27a )
% 5.55/5.80 & ? [V1574e3: $i] :
% 5.55/5.80 ( ( mem @ V1574e3 @ A_27a )
% 5.55/5.80 & ? [V1575e4: $i] :
% 5.55/5.80 ( ( mem @ V1575e4 @ A_27a )
% 5.55/5.80 & ? [V1576e5: $i] :
% 5.55/5.80 ( ( mem @ V1576e5 @ A_27a )
% 5.55/5.80 & ? [V1577e6: $i] :
% 5.55/5.80 ( ( mem @ V1577e6 @ A_27a )
% 5.55/5.80 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1571l_27 ) )
% 5.55/5.80 = V1x )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1572e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1573e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1574e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1575e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1576e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1577e6 ) @ V1571l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.80 <=> ? [V1578l_27: $i] :
% 5.55/5.80 ( ( mem @ V1578l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1579e1: $i] :
% 5.55/5.80 ( ( mem @ V1579e1 @ A_27a )
% 5.55/5.80 & ? [V1580e2: $i] :
% 5.55/5.80 ( ( mem @ V1580e2 @ A_27a )
% 5.55/5.80 & ? [V1581e3: $i] :
% 5.55/5.80 ( ( mem @ V1581e3 @ A_27a )
% 5.55/5.80 & ? [V1582e4: $i] :
% 5.55/5.80 ( ( mem @ V1582e4 @ A_27a )
% 5.55/5.80 & ? [V1583e5: $i] :
% 5.55/5.80 ( ( mem @ V1583e5 @ A_27a )
% 5.55/5.80 & ? [V1584e6: $i] :
% 5.55/5.80 ( ( mem @ V1584e6 @ A_27a )
% 5.55/5.80 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1578l_27 ) )
% 5.55/5.80 = V1x )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1579e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1580e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1581e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1582e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1583e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1584e6 ) @ V1578l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V1585l_27: $i] :
% 5.55/5.80 ( ( mem @ V1585l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1586e1: $i] :
% 5.55/5.80 ( ( mem @ V1586e1 @ A_27a )
% 5.55/5.80 & ? [V1587e2: $i] :
% 5.55/5.80 ( ( mem @ V1587e2 @ A_27a )
% 5.55/5.80 & ? [V1588e3: $i] :
% 5.55/5.80 ( ( mem @ V1588e3 @ A_27a )
% 5.55/5.80 & ? [V1589e4: $i] :
% 5.55/5.80 ( ( mem @ V1589e4 @ A_27a )
% 5.55/5.80 & ? [V1590e5: $i] :
% 5.55/5.80 ( ( mem @ V1590e5 @ A_27a )
% 5.55/5.80 & ? [V1591e6: $i] :
% 5.55/5.80 ( ( mem @ V1591e6 @ A_27a )
% 5.55/5.80 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1585l_27 ) )
% 5.55/5.80 = V1x )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1586e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1587e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1588e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1589e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1590e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1591e6 ) @ V1585l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.80 <=> ? [V1592e1: $i] :
% 5.55/5.80 ( ( mem @ V1592e1 @ A_27a )
% 5.55/5.80 & ? [V1593e2: $i] :
% 5.55/5.80 ( ( mem @ V1593e2 @ A_27a )
% 5.55/5.80 & ? [V1594e3: $i] :
% 5.55/5.80 ( ( mem @ V1594e3 @ A_27a )
% 5.55/5.80 & ? [V1595e4: $i] :
% 5.55/5.80 ( ( mem @ V1595e4 @ A_27a )
% 5.55/5.80 & ? [V1596e5: $i] :
% 5.55/5.80 ( ( mem @ V1596e5 @ A_27a )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1592e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1593e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1594e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1595e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1596e5 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V1597e1: $i] :
% 5.55/5.80 ( ( mem @ V1597e1 @ A_27a )
% 5.55/5.80 & ? [V1598e2: $i] :
% 5.55/5.80 ( ( mem @ V1598e2 @ A_27a )
% 5.55/5.80 & ? [V1599e3: $i] :
% 5.55/5.80 ( ( mem @ V1599e3 @ A_27a )
% 5.55/5.80 & ? [V1600e4: $i] :
% 5.55/5.80 ( ( mem @ V1600e4 @ A_27a )
% 5.55/5.80 & ? [V1601e5: $i] :
% 5.55/5.80 ( ( mem @ V1601e5 @ A_27a )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1597e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1598e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1599e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1600e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1601e5 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V1602l_27: $i] :
% 5.55/5.80 ( ( mem @ V1602l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1603e1: $i] :
% 5.55/5.80 ( ( mem @ V1603e1 @ A_27a )
% 5.55/5.80 & ? [V1604e2: $i] :
% 5.55/5.80 ( ( mem @ V1604e2 @ A_27a )
% 5.55/5.80 & ? [V1605e3: $i] :
% 5.55/5.80 ( ( mem @ V1605e3 @ A_27a )
% 5.55/5.80 & ? [V1606e4: $i] :
% 5.55/5.80 ( ( mem @ V1606e4 @ A_27a )
% 5.55/5.80 & ? [V1607e5: $i] :
% 5.55/5.80 ( ( mem @ V1607e5 @ A_27a )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1603e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1604e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1605e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1606e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1607e5 ) @ V1602l_27 ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.80 <=> ? [V1608l_27: $i] :
% 5.55/5.80 ( ( mem @ V1608l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1609e1: $i] :
% 5.55/5.80 ( ( mem @ V1609e1 @ A_27a )
% 5.55/5.80 & ? [V1610e2: $i] :
% 5.55/5.80 ( ( mem @ V1610e2 @ A_27a )
% 5.55/5.80 & ? [V1611e3: $i] :
% 5.55/5.80 ( ( mem @ V1611e3 @ A_27a )
% 5.55/5.80 & ? [V1612e4: $i] :
% 5.55/5.80 ( ( mem @ V1612e4 @ A_27a )
% 5.55/5.80 & ? [V1613e5: $i] :
% 5.55/5.80 ( ( mem @ V1613e5 @ A_27a )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1609e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1610e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1611e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1612e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1613e5 ) @ V1608l_27 ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V1614l_27: $i] :
% 5.55/5.80 ( ( mem @ V1614l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1615e1: $i] :
% 5.55/5.80 ( ( mem @ V1615e1 @ A_27a )
% 5.55/5.80 & ? [V1616e2: $i] :
% 5.55/5.80 ( ( mem @ V1616e2 @ A_27a )
% 5.55/5.80 & ? [V1617e3: $i] :
% 5.55/5.80 ( ( mem @ V1617e3 @ A_27a )
% 5.55/5.80 & ? [V1618e4: $i] :
% 5.55/5.80 ( ( mem @ V1618e4 @ A_27a )
% 5.55/5.80 & ? [V1619e5: $i] :
% 5.55/5.80 ( ( mem @ V1619e5 @ A_27a )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1615e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1616e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1617e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1618e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1619e5 ) @ V1614l_27 ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.80 <=> ? [V1620l_27: $i] :
% 5.55/5.80 ( ( mem @ V1620l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1621e1: $i] :
% 5.55/5.80 ( ( mem @ V1621e1 @ A_27a )
% 5.55/5.80 & ? [V1622e2: $i] :
% 5.55/5.80 ( ( mem @ V1622e2 @ A_27a )
% 5.55/5.80 & ? [V1623e3: $i] :
% 5.55/5.80 ( ( mem @ V1623e3 @ A_27a )
% 5.55/5.80 & ? [V1624e4: $i] :
% 5.55/5.80 ( ( mem @ V1624e4 @ A_27a )
% 5.55/5.80 & ? [V1625e5: $i] :
% 5.55/5.80 ( ( mem @ V1625e5 @ A_27a )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1621e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1622e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1623e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1624e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1625e5 ) @ V1620l_27 ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V1626l_27: $i] :
% 5.55/5.80 ( ( mem @ V1626l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1627e1: $i] :
% 5.55/5.80 ( ( mem @ V1627e1 @ A_27a )
% 5.55/5.80 & ? [V1628e2: $i] :
% 5.55/5.80 ( ( mem @ V1628e2 @ A_27a )
% 5.55/5.80 & ? [V1629e3: $i] :
% 5.55/5.80 ( ( mem @ V1629e3 @ A_27a )
% 5.55/5.80 & ? [V1630e4: $i] :
% 5.55/5.80 ( ( mem @ V1630e4 @ A_27a )
% 5.55/5.80 & ? [V1631e5: $i] :
% 5.55/5.80 ( ( mem @ V1631e5 @ A_27a )
% 5.55/5.80 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1626l_27 ) ) )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1627e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1628e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1629e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1630e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1631e5 ) @ V1626l_27 ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.80 <=> ? [V1632l_27: $i] :
% 5.55/5.80 ( ( mem @ V1632l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1633e1: $i] :
% 5.55/5.80 ( ( mem @ V1633e1 @ A_27a )
% 5.55/5.80 & ? [V1634e2: $i] :
% 5.55/5.80 ( ( mem @ V1634e2 @ A_27a )
% 5.55/5.80 & ? [V1635e3: $i] :
% 5.55/5.80 ( ( mem @ V1635e3 @ A_27a )
% 5.55/5.80 & ? [V1636e4: $i] :
% 5.55/5.80 ( ( mem @ V1636e4 @ A_27a )
% 5.55/5.80 & ? [V1637e5: $i] :
% 5.55/5.80 ( ( mem @ V1637e5 @ A_27a )
% 5.55/5.80 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1632l_27 ) ) )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1633e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1634e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1635e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1636e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1637e5 ) @ V1632l_27 ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V1638l_27: $i] :
% 5.55/5.80 ( ( mem @ V1638l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1639e1: $i] :
% 5.55/5.80 ( ( mem @ V1639e1 @ A_27a )
% 5.55/5.80 & ? [V1640e2: $i] :
% 5.55/5.80 ( ( mem @ V1640e2 @ A_27a )
% 5.55/5.80 & ? [V1641e3: $i] :
% 5.55/5.80 ( ( mem @ V1641e3 @ A_27a )
% 5.55/5.80 & ? [V1642e4: $i] :
% 5.55/5.80 ( ( mem @ V1642e4 @ A_27a )
% 5.55/5.80 & ? [V1643e5: $i] :
% 5.55/5.80 ( ( mem @ V1643e5 @ A_27a )
% 5.55/5.80 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1638l_27 ) ) )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1639e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1640e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1641e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1642e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1643e5 ) @ V1638l_27 ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.80 <=> ? [V1644l_27: $i] :
% 5.55/5.80 ( ( mem @ V1644l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1645e1: $i] :
% 5.55/5.80 ( ( mem @ V1645e1 @ A_27a )
% 5.55/5.80 & ? [V1646e2: $i] :
% 5.55/5.80 ( ( mem @ V1646e2 @ A_27a )
% 5.55/5.80 & ? [V1647e3: $i] :
% 5.55/5.80 ( ( mem @ V1647e3 @ A_27a )
% 5.55/5.80 & ? [V1648e4: $i] :
% 5.55/5.80 ( ( mem @ V1648e4 @ A_27a )
% 5.55/5.80 & ? [V1649e5: $i] :
% 5.55/5.80 ( ( mem @ V1649e5 @ A_27a )
% 5.55/5.80 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1644l_27 ) ) )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1645e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1646e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1647e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1648e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1649e5 ) @ V1644l_27 ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.80 <=> ? [V1650l_27: $i] :
% 5.55/5.80 ( ( mem @ V1650l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1651e1: $i] :
% 5.55/5.80 ( ( mem @ V1651e1 @ A_27a )
% 5.55/5.80 & ? [V1652e2: $i] :
% 5.55/5.80 ( ( mem @ V1652e2 @ A_27a )
% 5.55/5.80 & ? [V1653e3: $i] :
% 5.55/5.80 ( ( mem @ V1653e3 @ A_27a )
% 5.55/5.80 & ? [V1654e4: $i] :
% 5.55/5.80 ( ( mem @ V1654e4 @ A_27a )
% 5.55/5.80 & ? [V1655e5: $i] :
% 5.55/5.80 ( ( mem @ V1655e5 @ A_27a )
% 5.55/5.80 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1650l_27 ) )
% 5.55/5.80 = V1x )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1651e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1652e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1653e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1654e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1655e5 ) @ V1650l_27 ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V1656l_27: $i] :
% 5.55/5.80 ( ( mem @ V1656l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1657e1: $i] :
% 5.55/5.80 ( ( mem @ V1657e1 @ A_27a )
% 5.55/5.80 & ? [V1658e2: $i] :
% 5.55/5.80 ( ( mem @ V1658e2 @ A_27a )
% 5.55/5.80 & ? [V1659e3: $i] :
% 5.55/5.80 ( ( mem @ V1659e3 @ A_27a )
% 5.55/5.80 & ? [V1660e4: $i] :
% 5.55/5.80 ( ( mem @ V1660e4 @ A_27a )
% 5.55/5.80 & ? [V1661e5: $i] :
% 5.55/5.80 ( ( mem @ V1661e5 @ A_27a )
% 5.55/5.80 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1656l_27 ) )
% 5.55/5.80 = V1x )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1657e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1658e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1659e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1660e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1661e5 ) @ V1656l_27 ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.80 <=> ? [V1662l_27: $i] :
% 5.55/5.80 ( ( mem @ V1662l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1663e1: $i] :
% 5.55/5.80 ( ( mem @ V1663e1 @ A_27a )
% 5.55/5.80 & ? [V1664e2: $i] :
% 5.55/5.80 ( ( mem @ V1664e2 @ A_27a )
% 5.55/5.80 & ? [V1665e3: $i] :
% 5.55/5.80 ( ( mem @ V1665e3 @ A_27a )
% 5.55/5.80 & ? [V1666e4: $i] :
% 5.55/5.80 ( ( mem @ V1666e4 @ A_27a )
% 5.55/5.80 & ? [V1667e5: $i] :
% 5.55/5.80 ( ( mem @ V1667e5 @ A_27a )
% 5.55/5.80 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1662l_27 ) )
% 5.55/5.80 = V1x )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1663e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1664e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1665e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1666e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1667e5 ) @ V1662l_27 ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V1668l_27: $i] :
% 5.55/5.80 ( ( mem @ V1668l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1669e1: $i] :
% 5.55/5.80 ( ( mem @ V1669e1 @ A_27a )
% 5.55/5.80 & ? [V1670e2: $i] :
% 5.55/5.80 ( ( mem @ V1670e2 @ A_27a )
% 5.55/5.80 & ? [V1671e3: $i] :
% 5.55/5.80 ( ( mem @ V1671e3 @ A_27a )
% 5.55/5.80 & ? [V1672e4: $i] :
% 5.55/5.80 ( ( mem @ V1672e4 @ A_27a )
% 5.55/5.80 & ? [V1673e5: $i] :
% 5.55/5.80 ( ( mem @ V1673e5 @ A_27a )
% 5.55/5.80 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1668l_27 ) )
% 5.55/5.80 = V1x )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1669e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1670e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1671e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1672e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1673e5 ) @ V1668l_27 ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.80 <=> ? [V1674e1: $i] :
% 5.55/5.80 ( ( mem @ V1674e1 @ A_27a )
% 5.55/5.80 & ? [V1675e2: $i] :
% 5.55/5.80 ( ( mem @ V1675e2 @ A_27a )
% 5.55/5.80 & ? [V1676e3: $i] :
% 5.55/5.80 ( ( mem @ V1676e3 @ A_27a )
% 5.55/5.80 & ? [V1677e4: $i] :
% 5.55/5.80 ( ( mem @ V1677e4 @ A_27a )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1674e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1675e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1676e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1677e4 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V1678e1: $i] :
% 5.55/5.80 ( ( mem @ V1678e1 @ A_27a )
% 5.55/5.80 & ? [V1679e2: $i] :
% 5.55/5.80 ( ( mem @ V1679e2 @ A_27a )
% 5.55/5.80 & ? [V1680e3: $i] :
% 5.55/5.80 ( ( mem @ V1680e3 @ A_27a )
% 5.55/5.80 & ? [V1681e4: $i] :
% 5.55/5.80 ( ( mem @ V1681e4 @ A_27a )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1678e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1679e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1680e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1681e4 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V1682l_27: $i] :
% 5.55/5.80 ( ( mem @ V1682l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1683e1: $i] :
% 5.55/5.80 ( ( mem @ V1683e1 @ A_27a )
% 5.55/5.80 & ? [V1684e2: $i] :
% 5.55/5.80 ( ( mem @ V1684e2 @ A_27a )
% 5.55/5.80 & ? [V1685e3: $i] :
% 5.55/5.80 ( ( mem @ V1685e3 @ A_27a )
% 5.55/5.80 & ? [V1686e4: $i] :
% 5.55/5.80 ( ( mem @ V1686e4 @ A_27a )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1683e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1684e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1685e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1686e4 ) @ V1682l_27 ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.80 <=> ? [V1687l_27: $i] :
% 5.55/5.80 ( ( mem @ V1687l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1688e1: $i] :
% 5.55/5.80 ( ( mem @ V1688e1 @ A_27a )
% 5.55/5.80 & ? [V1689e2: $i] :
% 5.55/5.80 ( ( mem @ V1689e2 @ A_27a )
% 5.55/5.80 & ? [V1690e3: $i] :
% 5.55/5.80 ( ( mem @ V1690e3 @ A_27a )
% 5.55/5.80 & ? [V1691e4: $i] :
% 5.55/5.80 ( ( mem @ V1691e4 @ A_27a )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1688e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1689e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1690e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1691e4 ) @ V1687l_27 ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V1692l_27: $i] :
% 5.55/5.80 ( ( mem @ V1692l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1693e1: $i] :
% 5.55/5.80 ( ( mem @ V1693e1 @ A_27a )
% 5.55/5.80 & ? [V1694e2: $i] :
% 5.55/5.80 ( ( mem @ V1694e2 @ A_27a )
% 5.55/5.80 & ? [V1695e3: $i] :
% 5.55/5.80 ( ( mem @ V1695e3 @ A_27a )
% 5.55/5.80 & ? [V1696e4: $i] :
% 5.55/5.80 ( ( mem @ V1696e4 @ A_27a )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1693e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1694e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1695e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1696e4 ) @ V1692l_27 ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.80 <=> ? [V1697l_27: $i] :
% 5.55/5.80 ( ( mem @ V1697l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1698e1: $i] :
% 5.55/5.80 ( ( mem @ V1698e1 @ A_27a )
% 5.55/5.80 & ? [V1699e2: $i] :
% 5.55/5.80 ( ( mem @ V1699e2 @ A_27a )
% 5.55/5.80 & ? [V1700e3: $i] :
% 5.55/5.80 ( ( mem @ V1700e3 @ A_27a )
% 5.55/5.80 & ? [V1701e4: $i] :
% 5.55/5.80 ( ( mem @ V1701e4 @ A_27a )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1698e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1699e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1700e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1701e4 ) @ V1697l_27 ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V1702l_27: $i] :
% 5.55/5.80 ( ( mem @ V1702l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1703e1: $i] :
% 5.55/5.80 ( ( mem @ V1703e1 @ A_27a )
% 5.55/5.80 & ? [V1704e2: $i] :
% 5.55/5.80 ( ( mem @ V1704e2 @ A_27a )
% 5.55/5.80 & ? [V1705e3: $i] :
% 5.55/5.80 ( ( mem @ V1705e3 @ A_27a )
% 5.55/5.80 & ? [V1706e4: $i] :
% 5.55/5.80 ( ( mem @ V1706e4 @ A_27a )
% 5.55/5.80 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1702l_27 ) ) )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1703e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1704e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1705e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1706e4 ) @ V1702l_27 ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.80 <=> ? [V1707l_27: $i] :
% 5.55/5.80 ( ( mem @ V1707l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1708e1: $i] :
% 5.55/5.80 ( ( mem @ V1708e1 @ A_27a )
% 5.55/5.80 & ? [V1709e2: $i] :
% 5.55/5.80 ( ( mem @ V1709e2 @ A_27a )
% 5.55/5.80 & ? [V1710e3: $i] :
% 5.55/5.80 ( ( mem @ V1710e3 @ A_27a )
% 5.55/5.80 & ? [V1711e4: $i] :
% 5.55/5.80 ( ( mem @ V1711e4 @ A_27a )
% 5.55/5.80 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1707l_27 ) ) )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1708e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1709e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1710e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1711e4 ) @ V1707l_27 ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V1712l_27: $i] :
% 5.55/5.80 ( ( mem @ V1712l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1713e1: $i] :
% 5.55/5.80 ( ( mem @ V1713e1 @ A_27a )
% 5.55/5.80 & ? [V1714e2: $i] :
% 5.55/5.80 ( ( mem @ V1714e2 @ A_27a )
% 5.55/5.80 & ? [V1715e3: $i] :
% 5.55/5.80 ( ( mem @ V1715e3 @ A_27a )
% 5.55/5.80 & ? [V1716e4: $i] :
% 5.55/5.80 ( ( mem @ V1716e4 @ A_27a )
% 5.55/5.80 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1712l_27 ) ) )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1713e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1714e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1715e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1716e4 ) @ V1712l_27 ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.80 <=> ? [V1717l_27: $i] :
% 5.55/5.80 ( ( mem @ V1717l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1718e1: $i] :
% 5.55/5.80 ( ( mem @ V1718e1 @ A_27a )
% 5.55/5.80 & ? [V1719e2: $i] :
% 5.55/5.80 ( ( mem @ V1719e2 @ A_27a )
% 5.55/5.80 & ? [V1720e3: $i] :
% 5.55/5.80 ( ( mem @ V1720e3 @ A_27a )
% 5.55/5.80 & ? [V1721e4: $i] :
% 5.55/5.80 ( ( mem @ V1721e4 @ A_27a )
% 5.55/5.80 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1717l_27 ) ) )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1718e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1719e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1720e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1721e4 ) @ V1717l_27 ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.80 <=> ? [V1722l_27: $i] :
% 5.55/5.80 ( ( mem @ V1722l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1723e1: $i] :
% 5.55/5.80 ( ( mem @ V1723e1 @ A_27a )
% 5.55/5.80 & ? [V1724e2: $i] :
% 5.55/5.80 ( ( mem @ V1724e2 @ A_27a )
% 5.55/5.80 & ? [V1725e3: $i] :
% 5.55/5.80 ( ( mem @ V1725e3 @ A_27a )
% 5.55/5.80 & ? [V1726e4: $i] :
% 5.55/5.80 ( ( mem @ V1726e4 @ A_27a )
% 5.55/5.80 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1722l_27 ) )
% 5.55/5.80 = V1x )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1723e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1724e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1725e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1726e4 ) @ V1722l_27 ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V1727l_27: $i] :
% 5.55/5.80 ( ( mem @ V1727l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1728e1: $i] :
% 5.55/5.80 ( ( mem @ V1728e1 @ A_27a )
% 5.55/5.80 & ? [V1729e2: $i] :
% 5.55/5.80 ( ( mem @ V1729e2 @ A_27a )
% 5.55/5.80 & ? [V1730e3: $i] :
% 5.55/5.80 ( ( mem @ V1730e3 @ A_27a )
% 5.55/5.80 & ? [V1731e4: $i] :
% 5.55/5.80 ( ( mem @ V1731e4 @ A_27a )
% 5.55/5.80 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1727l_27 ) )
% 5.55/5.80 = V1x )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1728e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1729e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1730e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1731e4 ) @ V1727l_27 ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.80 <=> ? [V1732l_27: $i] :
% 5.55/5.80 ( ( mem @ V1732l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1733e1: $i] :
% 5.55/5.80 ( ( mem @ V1733e1 @ A_27a )
% 5.55/5.80 & ? [V1734e2: $i] :
% 5.55/5.80 ( ( mem @ V1734e2 @ A_27a )
% 5.55/5.80 & ? [V1735e3: $i] :
% 5.55/5.80 ( ( mem @ V1735e3 @ A_27a )
% 5.55/5.80 & ? [V1736e4: $i] :
% 5.55/5.80 ( ( mem @ V1736e4 @ A_27a )
% 5.55/5.80 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1732l_27 ) )
% 5.55/5.80 = V1x )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1733e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1734e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1735e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1736e4 ) @ V1732l_27 ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V1737l_27: $i] :
% 5.55/5.80 ( ( mem @ V1737l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1738e1: $i] :
% 5.55/5.80 ( ( mem @ V1738e1 @ A_27a )
% 5.55/5.80 & ? [V1739e2: $i] :
% 5.55/5.80 ( ( mem @ V1739e2 @ A_27a )
% 5.55/5.80 & ? [V1740e3: $i] :
% 5.55/5.80 ( ( mem @ V1740e3 @ A_27a )
% 5.55/5.80 & ? [V1741e4: $i] :
% 5.55/5.80 ( ( mem @ V1741e4 @ A_27a )
% 5.55/5.80 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1737l_27 ) )
% 5.55/5.80 = V1x )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1738e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1739e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1740e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1741e4 ) @ V1737l_27 ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.80 <=> ? [V1742e1: $i] :
% 5.55/5.80 ( ( mem @ V1742e1 @ A_27a )
% 5.55/5.80 & ? [V1743e2: $i] :
% 5.55/5.80 ( ( mem @ V1743e2 @ A_27a )
% 5.55/5.80 & ? [V1744e3: $i] :
% 5.55/5.80 ( ( mem @ V1744e3 @ A_27a )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1742e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1743e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1744e3 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V1745e1: $i] :
% 5.55/5.80 ( ( mem @ V1745e1 @ A_27a )
% 5.55/5.80 & ? [V1746e2: $i] :
% 5.55/5.80 ( ( mem @ V1746e2 @ A_27a )
% 5.55/5.80 & ? [V1747e3: $i] :
% 5.55/5.80 ( ( mem @ V1747e3 @ A_27a )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1745e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1746e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1747e3 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V1748l_27: $i] :
% 5.55/5.80 ( ( mem @ V1748l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1749e1: $i] :
% 5.55/5.80 ( ( mem @ V1749e1 @ A_27a )
% 5.55/5.80 & ? [V1750e2: $i] :
% 5.55/5.80 ( ( mem @ V1750e2 @ A_27a )
% 5.55/5.80 & ? [V1751e3: $i] :
% 5.55/5.80 ( ( mem @ V1751e3 @ A_27a )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1749e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1750e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1751e3 ) @ V1748l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.80 <=> ? [V1752l_27: $i] :
% 5.55/5.80 ( ( mem @ V1752l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1753e1: $i] :
% 5.55/5.80 ( ( mem @ V1753e1 @ A_27a )
% 5.55/5.80 & ? [V1754e2: $i] :
% 5.55/5.80 ( ( mem @ V1754e2 @ A_27a )
% 5.55/5.80 & ? [V1755e3: $i] :
% 5.55/5.80 ( ( mem @ V1755e3 @ A_27a )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1753e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1754e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1755e3 ) @ V1752l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V1756l_27: $i] :
% 5.55/5.80 ( ( mem @ V1756l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1757e1: $i] :
% 5.55/5.80 ( ( mem @ V1757e1 @ A_27a )
% 5.55/5.80 & ? [V1758e2: $i] :
% 5.55/5.80 ( ( mem @ V1758e2 @ A_27a )
% 5.55/5.80 & ? [V1759e3: $i] :
% 5.55/5.80 ( ( mem @ V1759e3 @ A_27a )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1757e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1758e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1759e3 ) @ V1756l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.80 <=> ? [V1760l_27: $i] :
% 5.55/5.80 ( ( mem @ V1760l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1761e1: $i] :
% 5.55/5.80 ( ( mem @ V1761e1 @ A_27a )
% 5.55/5.80 & ? [V1762e2: $i] :
% 5.55/5.80 ( ( mem @ V1762e2 @ A_27a )
% 5.55/5.80 & ? [V1763e3: $i] :
% 5.55/5.80 ( ( mem @ V1763e3 @ A_27a )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1761e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1762e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1763e3 ) @ V1760l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V1764l_27: $i] :
% 5.55/5.80 ( ( mem @ V1764l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1765e1: $i] :
% 5.55/5.80 ( ( mem @ V1765e1 @ A_27a )
% 5.55/5.80 & ? [V1766e2: $i] :
% 5.55/5.80 ( ( mem @ V1766e2 @ A_27a )
% 5.55/5.80 & ? [V1767e3: $i] :
% 5.55/5.80 ( ( mem @ V1767e3 @ A_27a )
% 5.55/5.80 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1764l_27 ) ) )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1765e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1766e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1767e3 ) @ V1764l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.80 <=> ? [V1768l_27: $i] :
% 5.55/5.80 ( ( mem @ V1768l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1769e1: $i] :
% 5.55/5.80 ( ( mem @ V1769e1 @ A_27a )
% 5.55/5.80 & ? [V1770e2: $i] :
% 5.55/5.80 ( ( mem @ V1770e2 @ A_27a )
% 5.55/5.80 & ? [V1771e3: $i] :
% 5.55/5.80 ( ( mem @ V1771e3 @ A_27a )
% 5.55/5.80 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1768l_27 ) ) )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1769e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1770e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1771e3 ) @ V1768l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V1772l_27: $i] :
% 5.55/5.80 ( ( mem @ V1772l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1773e1: $i] :
% 5.55/5.80 ( ( mem @ V1773e1 @ A_27a )
% 5.55/5.80 & ? [V1774e2: $i] :
% 5.55/5.80 ( ( mem @ V1774e2 @ A_27a )
% 5.55/5.80 & ? [V1775e3: $i] :
% 5.55/5.80 ( ( mem @ V1775e3 @ A_27a )
% 5.55/5.80 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1772l_27 ) ) )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1773e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1774e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1775e3 ) @ V1772l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.80 <=> ? [V1776l_27: $i] :
% 5.55/5.80 ( ( mem @ V1776l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1777e1: $i] :
% 5.55/5.80 ( ( mem @ V1777e1 @ A_27a )
% 5.55/5.80 & ? [V1778e2: $i] :
% 5.55/5.80 ( ( mem @ V1778e2 @ A_27a )
% 5.55/5.80 & ? [V1779e3: $i] :
% 5.55/5.80 ( ( mem @ V1779e3 @ A_27a )
% 5.55/5.80 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1776l_27 ) ) )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1777e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1778e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1779e3 ) @ V1776l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.80 <=> ? [V1780l_27: $i] :
% 5.55/5.80 ( ( mem @ V1780l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1781e1: $i] :
% 5.55/5.80 ( ( mem @ V1781e1 @ A_27a )
% 5.55/5.80 & ? [V1782e2: $i] :
% 5.55/5.80 ( ( mem @ V1782e2 @ A_27a )
% 5.55/5.80 & ? [V1783e3: $i] :
% 5.55/5.80 ( ( mem @ V1783e3 @ A_27a )
% 5.55/5.80 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1780l_27 ) )
% 5.55/5.80 = V1x )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1781e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1782e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1783e3 ) @ V1780l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V1784l_27: $i] :
% 5.55/5.80 ( ( mem @ V1784l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1785e1: $i] :
% 5.55/5.80 ( ( mem @ V1785e1 @ A_27a )
% 5.55/5.80 & ? [V1786e2: $i] :
% 5.55/5.80 ( ( mem @ V1786e2 @ A_27a )
% 5.55/5.80 & ? [V1787e3: $i] :
% 5.55/5.80 ( ( mem @ V1787e3 @ A_27a )
% 5.55/5.80 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1784l_27 ) )
% 5.55/5.80 = V1x )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1785e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1786e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1787e3 ) @ V1784l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.80 <=> ? [V1788l_27: $i] :
% 5.55/5.80 ( ( mem @ V1788l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1789e1: $i] :
% 5.55/5.80 ( ( mem @ V1789e1 @ A_27a )
% 5.55/5.80 & ? [V1790e2: $i] :
% 5.55/5.80 ( ( mem @ V1790e2 @ A_27a )
% 5.55/5.80 & ? [V1791e3: $i] :
% 5.55/5.80 ( ( mem @ V1791e3 @ A_27a )
% 5.55/5.80 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1788l_27 ) )
% 5.55/5.80 = V1x )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1789e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1790e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1791e3 ) @ V1788l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V1792l_27: $i] :
% 5.55/5.80 ( ( mem @ V1792l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.80 & ? [V1793e1: $i] :
% 5.55/5.80 ( ( mem @ V1793e1 @ A_27a )
% 5.55/5.80 & ? [V1794e2: $i] :
% 5.55/5.80 ( ( mem @ V1794e2 @ A_27a )
% 5.55/5.80 & ? [V1795e3: $i] :
% 5.55/5.80 ( ( mem @ V1795e3 @ A_27a )
% 5.55/5.80 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1792l_27 ) )
% 5.55/5.80 = V1x )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1793e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1794e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1795e3 ) @ V1792l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.80 <=> ? [V1796e1: $i] :
% 5.55/5.80 ( ( mem @ V1796e1 @ A_27a )
% 5.55/5.80 & ? [V1797e2: $i] :
% 5.55/5.80 ( ( mem @ V1797e2 @ A_27a )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1796e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1797e2 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) )
% 5.55/5.80 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) )
% 5.55/5.80 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.80 <=> ? [V1798e1: $i] :
% 5.55/5.80 ( ( mem @ V1798e1 @ A_27a )
% 5.55/5.80 & ? [V1799e2: $i] :
% 5.55/5.80 ( ( mem @ V1799e2 @ A_27a )
% 5.55/5.80 & ( V0l
% 5.55/5.80 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1798e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1799e2 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) )
% 5.55/5.80 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.81 <=> ? [V1800l_27: $i] :
% 5.55/5.81 ( ( mem @ V1800l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V1801e1: $i] :
% 5.55/5.81 ( ( mem @ V1801e1 @ A_27a )
% 5.55/5.81 & ? [V1802e2: $i] :
% 5.55/5.81 ( ( mem @ V1802e2 @ A_27a )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1801e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1802e2 ) @ V1800l_27 ) ) ) ) ) ) )
% 5.55/5.81 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.81 <=> ? [V1803l_27: $i] :
% 5.55/5.81 ( ( mem @ V1803l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V1804e1: $i] :
% 5.55/5.81 ( ( mem @ V1804e1 @ A_27a )
% 5.55/5.81 & ? [V1805e2: $i] :
% 5.55/5.81 ( ( mem @ V1805e2 @ A_27a )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1804e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1805e2 ) @ V1803l_27 ) ) ) ) ) ) )
% 5.55/5.81 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.81 <=> ? [V1806l_27: $i] :
% 5.55/5.81 ( ( mem @ V1806l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V1807e1: $i] :
% 5.55/5.81 ( ( mem @ V1807e1 @ A_27a )
% 5.55/5.81 & ? [V1808e2: $i] :
% 5.55/5.81 ( ( mem @ V1808e2 @ A_27a )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1807e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1808e2 ) @ V1806l_27 ) ) ) ) ) ) )
% 5.55/5.81 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.81 <=> ? [V1809l_27: $i] :
% 5.55/5.81 ( ( mem @ V1809l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V1810e1: $i] :
% 5.55/5.81 ( ( mem @ V1810e1 @ A_27a )
% 5.55/5.81 & ? [V1811e2: $i] :
% 5.55/5.81 ( ( mem @ V1811e2 @ A_27a )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1810e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1811e2 ) @ V1809l_27 ) ) ) ) ) ) )
% 5.55/5.81 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.81 <=> ? [V1812l_27: $i] :
% 5.55/5.81 ( ( mem @ V1812l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V1813e1: $i] :
% 5.55/5.81 ( ( mem @ V1813e1 @ A_27a )
% 5.55/5.81 & ? [V1814e2: $i] :
% 5.55/5.81 ( ( mem @ V1814e2 @ A_27a )
% 5.55/5.81 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1812l_27 ) ) )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1813e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1814e2 ) @ V1812l_27 ) ) ) ) ) ) )
% 5.55/5.81 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.81 <=> ? [V1815l_27: $i] :
% 5.55/5.81 ( ( mem @ V1815l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V1816e1: $i] :
% 5.55/5.81 ( ( mem @ V1816e1 @ A_27a )
% 5.55/5.81 & ? [V1817e2: $i] :
% 5.55/5.81 ( ( mem @ V1817e2 @ A_27a )
% 5.55/5.81 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1815l_27 ) ) )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1816e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1817e2 ) @ V1815l_27 ) ) ) ) ) ) )
% 5.55/5.81 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.81 <=> ? [V1818l_27: $i] :
% 5.55/5.81 ( ( mem @ V1818l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V1819e1: $i] :
% 5.55/5.81 ( ( mem @ V1819e1 @ A_27a )
% 5.55/5.81 & ? [V1820e2: $i] :
% 5.55/5.81 ( ( mem @ V1820e2 @ A_27a )
% 5.55/5.81 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1818l_27 ) ) )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1819e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1820e2 ) @ V1818l_27 ) ) ) ) ) ) )
% 5.55/5.81 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.81 <=> ? [V1821l_27: $i] :
% 5.55/5.81 ( ( mem @ V1821l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V1822e1: $i] :
% 5.55/5.81 ( ( mem @ V1822e1 @ A_27a )
% 5.55/5.81 & ? [V1823e2: $i] :
% 5.55/5.81 ( ( mem @ V1823e2 @ A_27a )
% 5.55/5.81 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1821l_27 ) ) )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1822e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1823e2 ) @ V1821l_27 ) ) ) ) ) ) )
% 5.55/5.81 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.81 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.81 <=> ? [V1824l_27: $i] :
% 5.55/5.81 ( ( mem @ V1824l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V1825e1: $i] :
% 5.55/5.81 ( ( mem @ V1825e1 @ A_27a )
% 5.55/5.81 & ? [V1826e2: $i] :
% 5.55/5.81 ( ( mem @ V1826e2 @ A_27a )
% 5.55/5.81 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1824l_27 ) )
% 5.55/5.81 = V1x )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1825e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1826e2 ) @ V1824l_27 ) ) ) ) ) ) )
% 5.55/5.81 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.55/5.81 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.81 <=> ? [V1827l_27: $i] :
% 5.55/5.81 ( ( mem @ V1827l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V1828e1: $i] :
% 5.55/5.81 ( ( mem @ V1828e1 @ A_27a )
% 5.55/5.81 & ? [V1829e2: $i] :
% 5.55/5.81 ( ( mem @ V1829e2 @ A_27a )
% 5.55/5.81 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1827l_27 ) )
% 5.55/5.81 = V1x )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1828e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1829e2 ) @ V1827l_27 ) ) ) ) ) ) )
% 5.55/5.81 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.81 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.81 <=> ? [V1830l_27: $i] :
% 5.55/5.81 ( ( mem @ V1830l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V1831e1: $i] :
% 5.55/5.81 ( ( mem @ V1831e1 @ A_27a )
% 5.55/5.81 & ? [V1832e2: $i] :
% 5.55/5.81 ( ( mem @ V1832e2 @ A_27a )
% 5.55/5.81 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1830l_27 ) )
% 5.55/5.81 = V1x )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1831e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1832e2 ) @ V1830l_27 ) ) ) ) ) ) )
% 5.55/5.81 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.81 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.81 <=> ? [V1833l_27: $i] :
% 5.55/5.81 ( ( mem @ V1833l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V1834e1: $i] :
% 5.55/5.81 ( ( mem @ V1834e1 @ A_27a )
% 5.55/5.81 & ? [V1835e2: $i] :
% 5.55/5.81 ( ( mem @ V1835e2 @ A_27a )
% 5.55/5.81 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1833l_27 ) )
% 5.55/5.81 = V1x )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1834e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1835e2 ) @ V1833l_27 ) ) ) ) ) ) )
% 5.55/5.81 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.81 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.81 <=> ? [V1836e1: $i] :
% 5.55/5.81 ( ( mem @ V1836e1 @ A_27a )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1836e1 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) )
% 5.55/5.81 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) )
% 5.55/5.81 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.81 <=> ? [V1837e1: $i] :
% 5.55/5.81 ( ( mem @ V1837e1 @ A_27a )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1837e1 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) )
% 5.55/5.81 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.81 <=> ? [V1838l_27: $i] :
% 5.55/5.81 ( ( mem @ V1838l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V1839e1: $i] :
% 5.55/5.81 ( ( mem @ V1839e1 @ A_27a )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1839e1 ) @ V1838l_27 ) ) ) ) )
% 5.55/5.81 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.55/5.81 <=> ? [V1840l_27: $i] :
% 5.55/5.81 ( ( mem @ V1840l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V1841e1: $i] :
% 5.55/5.81 ( ( mem @ V1841e1 @ A_27a )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1841e1 ) @ V1840l_27 ) ) ) ) )
% 5.55/5.81 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.81 <=> ? [V1842l_27: $i] :
% 5.55/5.81 ( ( mem @ V1842l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V1843e1: $i] :
% 5.55/5.81 ( ( mem @ V1843e1 @ A_27a )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1843e1 ) @ V1842l_27 ) ) ) ) )
% 5.55/5.81 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.81 <=> ? [V1844l_27: $i] :
% 5.55/5.81 ( ( mem @ V1844l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V1845e1: $i] :
% 5.55/5.81 ( ( mem @ V1845e1 @ A_27a )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1845e1 ) @ V1844l_27 ) ) ) ) )
% 5.55/5.81 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.81 <=> ? [V1846l_27: $i] :
% 5.55/5.81 ( ( mem @ V1846l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V1847e1: $i] :
% 5.55/5.81 ( ( mem @ V1847e1 @ A_27a )
% 5.55/5.81 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1846l_27 ) ) )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1847e1 ) @ V1846l_27 ) ) ) ) )
% 5.55/5.81 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.81 <=> ? [V1848l_27: $i] :
% 5.55/5.81 ( ( mem @ V1848l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V1849e1: $i] :
% 5.55/5.81 ( ( mem @ V1849e1 @ A_27a )
% 5.55/5.81 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1848l_27 ) ) )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1849e1 ) @ V1848l_27 ) ) ) ) )
% 5.55/5.81 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.81 <=> ? [V1850l_27: $i] :
% 5.55/5.81 ( ( mem @ V1850l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V1851e1: $i] :
% 5.55/5.81 ( ( mem @ V1851e1 @ A_27a )
% 5.55/5.81 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1850l_27 ) ) )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1851e1 ) @ V1850l_27 ) ) ) ) )
% 5.55/5.81 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.81 <=> ? [V1852l_27: $i] :
% 5.55/5.81 ( ( mem @ V1852l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V1853e1: $i] :
% 5.55/5.81 ( ( mem @ V1853e1 @ A_27a )
% 5.55/5.81 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1852l_27 ) ) )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1853e1 ) @ V1852l_27 ) ) ) ) )
% 5.55/5.81 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.81 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.81 <=> ? [V1854l_27: $i] :
% 5.55/5.81 ( ( mem @ V1854l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V1855e1: $i] :
% 5.55/5.81 ( ( mem @ V1855e1 @ A_27a )
% 5.55/5.81 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1854l_27 ) )
% 5.55/5.81 = V1x )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1855e1 ) @ V1854l_27 ) ) ) ) )
% 5.55/5.81 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.55/5.81 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.81 <=> ? [V1856l_27: $i] :
% 5.55/5.81 ( ( mem @ V1856l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V1857e1: $i] :
% 5.55/5.81 ( ( mem @ V1857e1 @ A_27a )
% 5.55/5.81 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1856l_27 ) )
% 5.55/5.81 = V1x )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1857e1 ) @ V1856l_27 ) ) ) ) )
% 5.55/5.81 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.81 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.81 <=> ? [V1858l_27: $i] :
% 5.55/5.81 ( ( mem @ V1858l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V1859e1: $i] :
% 5.55/5.81 ( ( mem @ V1859e1 @ A_27a )
% 5.55/5.81 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1858l_27 ) )
% 5.55/5.81 = V1x )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1859e1 ) @ V1858l_27 ) ) ) ) )
% 5.55/5.81 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.81 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.81 <=> ? [V1860l_27: $i] :
% 5.55/5.81 ( ( mem @ V1860l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V1861e1: $i] :
% 5.55/5.81 ( ( mem @ V1861e1 @ A_27a )
% 5.55/5.81 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1860l_27 ) )
% 5.55/5.81 = V1x )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1861e1 ) @ V1860l_27 ) ) ) ) )
% 5.55/5.81 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.81 = fo__c_2Enum_2E0 )
% 5.55/5.81 <=> ( V0l
% 5.55/5.81 = ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.81 & ( ( fo__c_2Enum_2E0
% 5.55/5.81 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.81 <=> ( V0l
% 5.55/5.81 = ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.81 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.81 <=> ( V0l
% 5.55/5.81 = ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.81 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.81 <=> ( V0l
% 5.55/5.81 = ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.81 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.81 <=> ( V0l
% 5.55/5.81 = ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.81 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.55/5.81 <=> ( V0l
% 5.55/5.81 = ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ).
% 5.55/5.81
% 5.55/5.81 thf(conj_thm_2EquantHeuristics_2ELIST__LENGTH__20,axiom,
% 5.55/5.81 ! [A_27a: del,V0l: $i] :
% 5.55/5.81 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 => ! [V1x: tp__ty_2Enum_2Enum] :
% 5.55/5.81 ( ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.81 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.81 <=> ? [V2e1: $i] :
% 5.55/5.81 ( ( mem @ V2e1 @ A_27a )
% 5.55/5.81 & ? [V3e2: $i] :
% 5.55/5.81 ( ( mem @ V3e2 @ A_27a )
% 5.55/5.81 & ? [V4e3: $i] :
% 5.55/5.81 ( ( mem @ V4e3 @ A_27a )
% 5.55/5.81 & ? [V5e4: $i] :
% 5.55/5.81 ( ( mem @ V5e4 @ A_27a )
% 5.55/5.81 & ? [V6e5: $i] :
% 5.55/5.81 ( ( mem @ V6e5 @ A_27a )
% 5.55/5.81 & ? [V7e6: $i] :
% 5.55/5.81 ( ( mem @ V7e6 @ A_27a )
% 5.55/5.81 & ? [V8e7: $i] :
% 5.55/5.81 ( ( mem @ V8e7 @ A_27a )
% 5.55/5.81 & ? [V9e8: $i] :
% 5.55/5.81 ( ( mem @ V9e8 @ A_27a )
% 5.55/5.81 & ? [V10e9: $i] :
% 5.55/5.81 ( ( mem @ V10e9 @ A_27a )
% 5.55/5.81 & ? [V11e10: $i] :
% 5.55/5.81 ( ( mem @ V11e10 @ A_27a )
% 5.55/5.81 & ? [V12e11: $i] :
% 5.55/5.81 ( ( mem @ V12e11 @ A_27a )
% 5.55/5.81 & ? [V13e12: $i] :
% 5.55/5.81 ( ( mem @ V13e12 @ A_27a )
% 5.55/5.81 & ? [V14e13: $i] :
% 5.55/5.81 ( ( mem @ V14e13 @ A_27a )
% 5.55/5.81 & ? [V15e14: $i] :
% 5.55/5.81 ( ( mem @ V15e14 @ A_27a )
% 5.55/5.81 & ? [V16e15: $i] :
% 5.55/5.81 ( ( mem @ V16e15 @ A_27a )
% 5.55/5.81 & ? [V17e16: $i] :
% 5.55/5.81 ( ( mem @ V17e16 @ A_27a )
% 5.55/5.81 & ? [V18e17: $i] :
% 5.55/5.81 ( ( mem @ V18e17 @ A_27a )
% 5.55/5.81 & ? [V19e18: $i] :
% 5.55/5.81 ( ( mem @ V19e18 @ A_27a )
% 5.55/5.81 & ? [V20e19: $i] :
% 5.55/5.81 ( ( mem @ V20e19 @ A_27a )
% 5.55/5.81 & ? [V21e20: $i] :
% 5.55/5.81 ( ( mem @ V21e20 @ A_27a )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V5e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V6e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V7e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V8e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V9e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V10e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V11e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V12e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V13e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V14e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V15e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V16e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V17e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V18e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V19e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V20e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V21e20 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.81 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.81 <=> ? [V22e1: $i] :
% 5.55/5.81 ( ( mem @ V22e1 @ A_27a )
% 5.55/5.81 & ? [V23e2: $i] :
% 5.55/5.81 ( ( mem @ V23e2 @ A_27a )
% 5.55/5.81 & ? [V24e3: $i] :
% 5.55/5.81 ( ( mem @ V24e3 @ A_27a )
% 5.55/5.81 & ? [V25e4: $i] :
% 5.55/5.81 ( ( mem @ V25e4 @ A_27a )
% 5.55/5.81 & ? [V26e5: $i] :
% 5.55/5.81 ( ( mem @ V26e5 @ A_27a )
% 5.55/5.81 & ? [V27e6: $i] :
% 5.55/5.81 ( ( mem @ V27e6 @ A_27a )
% 5.55/5.81 & ? [V28e7: $i] :
% 5.55/5.81 ( ( mem @ V28e7 @ A_27a )
% 5.55/5.81 & ? [V29e8: $i] :
% 5.55/5.81 ( ( mem @ V29e8 @ A_27a )
% 5.55/5.81 & ? [V30e9: $i] :
% 5.55/5.81 ( ( mem @ V30e9 @ A_27a )
% 5.55/5.81 & ? [V31e10: $i] :
% 5.55/5.81 ( ( mem @ V31e10 @ A_27a )
% 5.55/5.81 & ? [V32e11: $i] :
% 5.55/5.81 ( ( mem @ V32e11 @ A_27a )
% 5.55/5.81 & ? [V33e12: $i] :
% 5.55/5.81 ( ( mem @ V33e12 @ A_27a )
% 5.55/5.81 & ? [V34e13: $i] :
% 5.55/5.81 ( ( mem @ V34e13 @ A_27a )
% 5.55/5.81 & ? [V35e14: $i] :
% 5.55/5.81 ( ( mem @ V35e14 @ A_27a )
% 5.55/5.81 & ? [V36e15: $i] :
% 5.55/5.81 ( ( mem @ V36e15 @ A_27a )
% 5.55/5.81 & ? [V37e16: $i] :
% 5.55/5.81 ( ( mem @ V37e16 @ A_27a )
% 5.55/5.81 & ? [V38e17: $i] :
% 5.55/5.81 ( ( mem @ V38e17 @ A_27a )
% 5.55/5.81 & ? [V39e18: $i] :
% 5.55/5.81 ( ( mem @ V39e18 @ A_27a )
% 5.55/5.81 & ? [V40e19: $i] :
% 5.55/5.81 ( ( mem @ V40e19 @ A_27a )
% 5.55/5.81 & ? [V41e20: $i] :
% 5.55/5.81 ( ( mem @ V41e20 @ A_27a )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V22e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V23e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V24e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V25e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V26e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V27e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V28e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V29e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V30e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V31e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V32e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V33e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V34e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V35e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V36e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V37e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V38e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V39e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V40e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V41e20 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.81 <=> ? [V42l_27: $i] :
% 5.55/5.81 ( ( mem @ V42l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V43e1: $i] :
% 5.55/5.81 ( ( mem @ V43e1 @ A_27a )
% 5.55/5.81 & ? [V44e2: $i] :
% 5.55/5.81 ( ( mem @ V44e2 @ A_27a )
% 5.55/5.81 & ? [V45e3: $i] :
% 5.55/5.81 ( ( mem @ V45e3 @ A_27a )
% 5.55/5.81 & ? [V46e4: $i] :
% 5.55/5.81 ( ( mem @ V46e4 @ A_27a )
% 5.55/5.81 & ? [V47e5: $i] :
% 5.55/5.81 ( ( mem @ V47e5 @ A_27a )
% 5.55/5.81 & ? [V48e6: $i] :
% 5.55/5.81 ( ( mem @ V48e6 @ A_27a )
% 5.55/5.81 & ? [V49e7: $i] :
% 5.55/5.81 ( ( mem @ V49e7 @ A_27a )
% 5.55/5.81 & ? [V50e8: $i] :
% 5.55/5.81 ( ( mem @ V50e8 @ A_27a )
% 5.55/5.81 & ? [V51e9: $i] :
% 5.55/5.81 ( ( mem @ V51e9 @ A_27a )
% 5.55/5.81 & ? [V52e10: $i] :
% 5.55/5.81 ( ( mem @ V52e10 @ A_27a )
% 5.55/5.81 & ? [V53e11: $i] :
% 5.55/5.81 ( ( mem @ V53e11 @ A_27a )
% 5.55/5.81 & ? [V54e12: $i] :
% 5.55/5.81 ( ( mem @ V54e12 @ A_27a )
% 5.55/5.81 & ? [V55e13: $i] :
% 5.55/5.81 ( ( mem @ V55e13 @ A_27a )
% 5.55/5.81 & ? [V56e14: $i] :
% 5.55/5.81 ( ( mem @ V56e14 @ A_27a )
% 5.55/5.81 & ? [V57e15: $i] :
% 5.55/5.81 ( ( mem @ V57e15 @ A_27a )
% 5.55/5.81 & ? [V58e16: $i] :
% 5.55/5.81 ( ( mem @ V58e16 @ A_27a )
% 5.55/5.81 & ? [V59e17: $i] :
% 5.55/5.81 ( ( mem @ V59e17 @ A_27a )
% 5.55/5.81 & ? [V60e18: $i] :
% 5.55/5.81 ( ( mem @ V60e18 @ A_27a )
% 5.55/5.81 & ? [V61e19: $i] :
% 5.55/5.81 ( ( mem @ V61e19 @ A_27a )
% 5.55/5.81 & ? [V62e20: $i] :
% 5.55/5.81 ( ( mem @ V62e20 @ A_27a )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V43e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V44e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V45e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V46e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V47e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V48e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V49e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V50e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V51e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V52e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V53e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V54e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V55e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V56e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V57e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V58e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V59e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V60e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V61e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V62e20 ) @ V42l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.81 <=> ? [V63l_27: $i] :
% 5.55/5.81 ( ( mem @ V63l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V64e1: $i] :
% 5.55/5.81 ( ( mem @ V64e1 @ A_27a )
% 5.55/5.81 & ? [V65e2: $i] :
% 5.55/5.81 ( ( mem @ V65e2 @ A_27a )
% 5.55/5.81 & ? [V66e3: $i] :
% 5.55/5.81 ( ( mem @ V66e3 @ A_27a )
% 5.55/5.81 & ? [V67e4: $i] :
% 5.55/5.81 ( ( mem @ V67e4 @ A_27a )
% 5.55/5.81 & ? [V68e5: $i] :
% 5.55/5.81 ( ( mem @ V68e5 @ A_27a )
% 5.55/5.81 & ? [V69e6: $i] :
% 5.55/5.81 ( ( mem @ V69e6 @ A_27a )
% 5.55/5.81 & ? [V70e7: $i] :
% 5.55/5.81 ( ( mem @ V70e7 @ A_27a )
% 5.55/5.81 & ? [V71e8: $i] :
% 5.55/5.81 ( ( mem @ V71e8 @ A_27a )
% 5.55/5.81 & ? [V72e9: $i] :
% 5.55/5.81 ( ( mem @ V72e9 @ A_27a )
% 5.55/5.81 & ? [V73e10: $i] :
% 5.55/5.81 ( ( mem @ V73e10 @ A_27a )
% 5.55/5.81 & ? [V74e11: $i] :
% 5.55/5.81 ( ( mem @ V74e11 @ A_27a )
% 5.55/5.81 & ? [V75e12: $i] :
% 5.55/5.81 ( ( mem @ V75e12 @ A_27a )
% 5.55/5.81 & ? [V76e13: $i] :
% 5.55/5.81 ( ( mem @ V76e13 @ A_27a )
% 5.55/5.81 & ? [V77e14: $i] :
% 5.55/5.81 ( ( mem @ V77e14 @ A_27a )
% 5.55/5.81 & ? [V78e15: $i] :
% 5.55/5.81 ( ( mem @ V78e15 @ A_27a )
% 5.55/5.81 & ? [V79e16: $i] :
% 5.55/5.81 ( ( mem @ V79e16 @ A_27a )
% 5.55/5.81 & ? [V80e17: $i] :
% 5.55/5.81 ( ( mem @ V80e17 @ A_27a )
% 5.55/5.81 & ? [V81e18: $i] :
% 5.55/5.81 ( ( mem @ V81e18 @ A_27a )
% 5.55/5.81 & ? [V82e19: $i] :
% 5.55/5.81 ( ( mem @ V82e19 @ A_27a )
% 5.55/5.81 & ? [V83e20: $i] :
% 5.55/5.81 ( ( mem @ V83e20 @ A_27a )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V64e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V65e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V66e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V67e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V68e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V69e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V70e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V71e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V72e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V73e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V74e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V75e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V76e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V77e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V78e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V79e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V80e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V81e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V82e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V83e20 ) @ V63l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.81 <=> ? [V84l_27: $i] :
% 5.55/5.81 ( ( mem @ V84l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V85e1: $i] :
% 5.55/5.81 ( ( mem @ V85e1 @ A_27a )
% 5.55/5.81 & ? [V86e2: $i] :
% 5.55/5.81 ( ( mem @ V86e2 @ A_27a )
% 5.55/5.81 & ? [V87e3: $i] :
% 5.55/5.81 ( ( mem @ V87e3 @ A_27a )
% 5.55/5.81 & ? [V88e4: $i] :
% 5.55/5.81 ( ( mem @ V88e4 @ A_27a )
% 5.55/5.81 & ? [V89e5: $i] :
% 5.55/5.81 ( ( mem @ V89e5 @ A_27a )
% 5.55/5.81 & ? [V90e6: $i] :
% 5.55/5.81 ( ( mem @ V90e6 @ A_27a )
% 5.55/5.81 & ? [V91e7: $i] :
% 5.55/5.81 ( ( mem @ V91e7 @ A_27a )
% 5.55/5.81 & ? [V92e8: $i] :
% 5.55/5.81 ( ( mem @ V92e8 @ A_27a )
% 5.55/5.81 & ? [V93e9: $i] :
% 5.55/5.81 ( ( mem @ V93e9 @ A_27a )
% 5.55/5.81 & ? [V94e10: $i] :
% 5.55/5.81 ( ( mem @ V94e10 @ A_27a )
% 5.55/5.81 & ? [V95e11: $i] :
% 5.55/5.81 ( ( mem @ V95e11 @ A_27a )
% 5.55/5.81 & ? [V96e12: $i] :
% 5.55/5.81 ( ( mem @ V96e12 @ A_27a )
% 5.55/5.81 & ? [V97e13: $i] :
% 5.55/5.81 ( ( mem @ V97e13 @ A_27a )
% 5.55/5.81 & ? [V98e14: $i] :
% 5.55/5.81 ( ( mem @ V98e14 @ A_27a )
% 5.55/5.81 & ? [V99e15: $i] :
% 5.55/5.81 ( ( mem @ V99e15 @ A_27a )
% 5.55/5.81 & ? [V100e16: $i] :
% 5.55/5.81 ( ( mem @ V100e16 @ A_27a )
% 5.55/5.81 & ? [V101e17: $i] :
% 5.55/5.81 ( ( mem @ V101e17 @ A_27a )
% 5.55/5.81 & ? [V102e18: $i] :
% 5.55/5.81 ( ( mem @ V102e18 @ A_27a )
% 5.55/5.81 & ? [V103e19: $i] :
% 5.55/5.81 ( ( mem @ V103e19 @ A_27a )
% 5.55/5.81 & ? [V104e20: $i] :
% 5.55/5.81 ( ( mem @ V104e20 @ A_27a )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V85e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V86e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V87e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V88e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V89e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V90e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V91e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V92e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V93e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V94e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V95e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V96e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V97e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V98e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V99e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V100e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V101e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V102e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V103e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V104e20 ) @ V84l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.81 <=> ? [V105l_27: $i] :
% 5.55/5.81 ( ( mem @ V105l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V106e1: $i] :
% 5.55/5.81 ( ( mem @ V106e1 @ A_27a )
% 5.55/5.81 & ? [V107e2: $i] :
% 5.55/5.81 ( ( mem @ V107e2 @ A_27a )
% 5.55/5.81 & ? [V108e3: $i] :
% 5.55/5.81 ( ( mem @ V108e3 @ A_27a )
% 5.55/5.81 & ? [V109e4: $i] :
% 5.55/5.81 ( ( mem @ V109e4 @ A_27a )
% 5.55/5.81 & ? [V110e5: $i] :
% 5.55/5.81 ( ( mem @ V110e5 @ A_27a )
% 5.55/5.81 & ? [V111e6: $i] :
% 5.55/5.81 ( ( mem @ V111e6 @ A_27a )
% 5.55/5.81 & ? [V112e7: $i] :
% 5.55/5.81 ( ( mem @ V112e7 @ A_27a )
% 5.55/5.81 & ? [V113e8: $i] :
% 5.55/5.81 ( ( mem @ V113e8 @ A_27a )
% 5.55/5.81 & ? [V114e9: $i] :
% 5.55/5.81 ( ( mem @ V114e9 @ A_27a )
% 5.55/5.81 & ? [V115e10: $i] :
% 5.55/5.81 ( ( mem @ V115e10 @ A_27a )
% 5.55/5.81 & ? [V116e11: $i] :
% 5.55/5.81 ( ( mem @ V116e11 @ A_27a )
% 5.55/5.81 & ? [V117e12: $i] :
% 5.55/5.81 ( ( mem @ V117e12 @ A_27a )
% 5.55/5.81 & ? [V118e13: $i] :
% 5.55/5.81 ( ( mem @ V118e13 @ A_27a )
% 5.55/5.81 & ? [V119e14: $i] :
% 5.55/5.81 ( ( mem @ V119e14 @ A_27a )
% 5.55/5.81 & ? [V120e15: $i] :
% 5.55/5.81 ( ( mem @ V120e15 @ A_27a )
% 5.55/5.81 & ? [V121e16: $i] :
% 5.55/5.81 ( ( mem @ V121e16 @ A_27a )
% 5.55/5.81 & ? [V122e17: $i] :
% 5.55/5.81 ( ( mem @ V122e17 @ A_27a )
% 5.55/5.81 & ? [V123e18: $i] :
% 5.55/5.81 ( ( mem @ V123e18 @ A_27a )
% 5.55/5.81 & ? [V124e19: $i] :
% 5.55/5.81 ( ( mem @ V124e19 @ A_27a )
% 5.55/5.81 & ? [V125e20: $i] :
% 5.55/5.81 ( ( mem @ V125e20 @ A_27a )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V106e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V107e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V108e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V109e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V110e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V111e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V112e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V113e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V114e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V115e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V116e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V117e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V118e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V119e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V120e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V121e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V122e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V123e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V124e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V125e20 ) @ V105l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.81 <=> ? [V126l_27: $i] :
% 5.55/5.81 ( ( mem @ V126l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V127e1: $i] :
% 5.55/5.81 ( ( mem @ V127e1 @ A_27a )
% 5.55/5.81 & ? [V128e2: $i] :
% 5.55/5.81 ( ( mem @ V128e2 @ A_27a )
% 5.55/5.81 & ? [V129e3: $i] :
% 5.55/5.81 ( ( mem @ V129e3 @ A_27a )
% 5.55/5.81 & ? [V130e4: $i] :
% 5.55/5.81 ( ( mem @ V130e4 @ A_27a )
% 5.55/5.81 & ? [V131e5: $i] :
% 5.55/5.81 ( ( mem @ V131e5 @ A_27a )
% 5.55/5.81 & ? [V132e6: $i] :
% 5.55/5.81 ( ( mem @ V132e6 @ A_27a )
% 5.55/5.81 & ? [V133e7: $i] :
% 5.55/5.81 ( ( mem @ V133e7 @ A_27a )
% 5.55/5.81 & ? [V134e8: $i] :
% 5.55/5.81 ( ( mem @ V134e8 @ A_27a )
% 5.55/5.81 & ? [V135e9: $i] :
% 5.55/5.81 ( ( mem @ V135e9 @ A_27a )
% 5.55/5.81 & ? [V136e10: $i] :
% 5.55/5.81 ( ( mem @ V136e10 @ A_27a )
% 5.55/5.81 & ? [V137e11: $i] :
% 5.55/5.81 ( ( mem @ V137e11 @ A_27a )
% 5.55/5.81 & ? [V138e12: $i] :
% 5.55/5.81 ( ( mem @ V138e12 @ A_27a )
% 5.55/5.81 & ? [V139e13: $i] :
% 5.55/5.81 ( ( mem @ V139e13 @ A_27a )
% 5.55/5.81 & ? [V140e14: $i] :
% 5.55/5.81 ( ( mem @ V140e14 @ A_27a )
% 5.55/5.81 & ? [V141e15: $i] :
% 5.55/5.81 ( ( mem @ V141e15 @ A_27a )
% 5.55/5.81 & ? [V142e16: $i] :
% 5.55/5.81 ( ( mem @ V142e16 @ A_27a )
% 5.55/5.81 & ? [V143e17: $i] :
% 5.55/5.81 ( ( mem @ V143e17 @ A_27a )
% 5.55/5.81 & ? [V144e18: $i] :
% 5.55/5.81 ( ( mem @ V144e18 @ A_27a )
% 5.55/5.81 & ? [V145e19: $i] :
% 5.55/5.81 ( ( mem @ V145e19 @ A_27a )
% 5.55/5.81 & ? [V146e20: $i] :
% 5.55/5.81 ( ( mem @ V146e20 @ A_27a )
% 5.55/5.81 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V126l_27 ) ) )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V127e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V128e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V129e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V130e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V131e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V132e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V133e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V134e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V135e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V136e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V137e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V138e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V139e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V140e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V141e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V142e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V143e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V144e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V145e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V146e20 ) @ V126l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.81 <=> ? [V147l_27: $i] :
% 5.55/5.81 ( ( mem @ V147l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V148e1: $i] :
% 5.55/5.81 ( ( mem @ V148e1 @ A_27a )
% 5.55/5.81 & ? [V149e2: $i] :
% 5.55/5.81 ( ( mem @ V149e2 @ A_27a )
% 5.55/5.81 & ? [V150e3: $i] :
% 5.55/5.81 ( ( mem @ V150e3 @ A_27a )
% 5.55/5.81 & ? [V151e4: $i] :
% 5.55/5.81 ( ( mem @ V151e4 @ A_27a )
% 5.55/5.81 & ? [V152e5: $i] :
% 5.55/5.81 ( ( mem @ V152e5 @ A_27a )
% 5.55/5.81 & ? [V153e6: $i] :
% 5.55/5.81 ( ( mem @ V153e6 @ A_27a )
% 5.55/5.81 & ? [V154e7: $i] :
% 5.55/5.81 ( ( mem @ V154e7 @ A_27a )
% 5.55/5.81 & ? [V155e8: $i] :
% 5.55/5.81 ( ( mem @ V155e8 @ A_27a )
% 5.55/5.81 & ? [V156e9: $i] :
% 5.55/5.81 ( ( mem @ V156e9 @ A_27a )
% 5.55/5.81 & ? [V157e10: $i] :
% 5.55/5.81 ( ( mem @ V157e10 @ A_27a )
% 5.55/5.81 & ? [V158e11: $i] :
% 5.55/5.81 ( ( mem @ V158e11 @ A_27a )
% 5.55/5.81 & ? [V159e12: $i] :
% 5.55/5.81 ( ( mem @ V159e12 @ A_27a )
% 5.55/5.81 & ? [V160e13: $i] :
% 5.55/5.81 ( ( mem @ V160e13 @ A_27a )
% 5.55/5.81 & ? [V161e14: $i] :
% 5.55/5.81 ( ( mem @ V161e14 @ A_27a )
% 5.55/5.81 & ? [V162e15: $i] :
% 5.55/5.81 ( ( mem @ V162e15 @ A_27a )
% 5.55/5.81 & ? [V163e16: $i] :
% 5.55/5.81 ( ( mem @ V163e16 @ A_27a )
% 5.55/5.81 & ? [V164e17: $i] :
% 5.55/5.81 ( ( mem @ V164e17 @ A_27a )
% 5.55/5.81 & ? [V165e18: $i] :
% 5.55/5.81 ( ( mem @ V165e18 @ A_27a )
% 5.55/5.81 & ? [V166e19: $i] :
% 5.55/5.81 ( ( mem @ V166e19 @ A_27a )
% 5.55/5.81 & ? [V167e20: $i] :
% 5.55/5.81 ( ( mem @ V167e20 @ A_27a )
% 5.55/5.81 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V147l_27 ) ) )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V148e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V149e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V150e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V151e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V152e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V153e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V154e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V155e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V156e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V157e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V158e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V159e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V160e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V161e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V162e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V163e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V164e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V165e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V166e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V167e20 ) @ V147l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.81 <=> ? [V168l_27: $i] :
% 5.55/5.81 ( ( mem @ V168l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V169e1: $i] :
% 5.55/5.81 ( ( mem @ V169e1 @ A_27a )
% 5.55/5.81 & ? [V170e2: $i] :
% 5.55/5.81 ( ( mem @ V170e2 @ A_27a )
% 5.55/5.81 & ? [V171e3: $i] :
% 5.55/5.81 ( ( mem @ V171e3 @ A_27a )
% 5.55/5.81 & ? [V172e4: $i] :
% 5.55/5.81 ( ( mem @ V172e4 @ A_27a )
% 5.55/5.81 & ? [V173e5: $i] :
% 5.55/5.81 ( ( mem @ V173e5 @ A_27a )
% 5.55/5.81 & ? [V174e6: $i] :
% 5.55/5.81 ( ( mem @ V174e6 @ A_27a )
% 5.55/5.81 & ? [V175e7: $i] :
% 5.55/5.81 ( ( mem @ V175e7 @ A_27a )
% 5.55/5.81 & ? [V176e8: $i] :
% 5.55/5.81 ( ( mem @ V176e8 @ A_27a )
% 5.55/5.81 & ? [V177e9: $i] :
% 5.55/5.81 ( ( mem @ V177e9 @ A_27a )
% 5.55/5.81 & ? [V178e10: $i] :
% 5.55/5.81 ( ( mem @ V178e10 @ A_27a )
% 5.55/5.81 & ? [V179e11: $i] :
% 5.55/5.81 ( ( mem @ V179e11 @ A_27a )
% 5.55/5.81 & ? [V180e12: $i] :
% 5.55/5.81 ( ( mem @ V180e12 @ A_27a )
% 5.55/5.81 & ? [V181e13: $i] :
% 5.55/5.81 ( ( mem @ V181e13 @ A_27a )
% 5.55/5.81 & ? [V182e14: $i] :
% 5.55/5.81 ( ( mem @ V182e14 @ A_27a )
% 5.55/5.81 & ? [V183e15: $i] :
% 5.55/5.81 ( ( mem @ V183e15 @ A_27a )
% 5.55/5.81 & ? [V184e16: $i] :
% 5.55/5.81 ( ( mem @ V184e16 @ A_27a )
% 5.55/5.81 & ? [V185e17: $i] :
% 5.55/5.81 ( ( mem @ V185e17 @ A_27a )
% 5.55/5.81 & ? [V186e18: $i] :
% 5.55/5.81 ( ( mem @ V186e18 @ A_27a )
% 5.55/5.81 & ? [V187e19: $i] :
% 5.55/5.81 ( ( mem @ V187e19 @ A_27a )
% 5.55/5.81 & ? [V188e20: $i] :
% 5.55/5.81 ( ( mem @ V188e20 @ A_27a )
% 5.55/5.81 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V168l_27 ) ) )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V169e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V170e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V171e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V172e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V173e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V174e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V175e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V176e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V177e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V178e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V179e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V180e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V181e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V182e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V183e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V184e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V185e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V186e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V187e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V188e20 ) @ V168l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) )
% 5.55/5.81 <=> ? [V189l_27: $i] :
% 5.55/5.81 ( ( mem @ V189l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V190e1: $i] :
% 5.55/5.81 ( ( mem @ V190e1 @ A_27a )
% 5.55/5.81 & ? [V191e2: $i] :
% 5.55/5.81 ( ( mem @ V191e2 @ A_27a )
% 5.55/5.81 & ? [V192e3: $i] :
% 5.55/5.81 ( ( mem @ V192e3 @ A_27a )
% 5.55/5.81 & ? [V193e4: $i] :
% 5.55/5.81 ( ( mem @ V193e4 @ A_27a )
% 5.55/5.81 & ? [V194e5: $i] :
% 5.55/5.81 ( ( mem @ V194e5 @ A_27a )
% 5.55/5.81 & ? [V195e6: $i] :
% 5.55/5.81 ( ( mem @ V195e6 @ A_27a )
% 5.55/5.81 & ? [V196e7: $i] :
% 5.55/5.81 ( ( mem @ V196e7 @ A_27a )
% 5.55/5.81 & ? [V197e8: $i] :
% 5.55/5.81 ( ( mem @ V197e8 @ A_27a )
% 5.55/5.81 & ? [V198e9: $i] :
% 5.55/5.81 ( ( mem @ V198e9 @ A_27a )
% 5.55/5.81 & ? [V199e10: $i] :
% 5.55/5.81 ( ( mem @ V199e10 @ A_27a )
% 5.55/5.81 & ? [V200e11: $i] :
% 5.55/5.81 ( ( mem @ V200e11 @ A_27a )
% 5.55/5.81 & ? [V201e12: $i] :
% 5.55/5.81 ( ( mem @ V201e12 @ A_27a )
% 5.55/5.81 & ? [V202e13: $i] :
% 5.55/5.81 ( ( mem @ V202e13 @ A_27a )
% 5.55/5.81 & ? [V203e14: $i] :
% 5.55/5.81 ( ( mem @ V203e14 @ A_27a )
% 5.55/5.81 & ? [V204e15: $i] :
% 5.55/5.81 ( ( mem @ V204e15 @ A_27a )
% 5.55/5.81 & ? [V205e16: $i] :
% 5.55/5.81 ( ( mem @ V205e16 @ A_27a )
% 5.55/5.81 & ? [V206e17: $i] :
% 5.55/5.81 ( ( mem @ V206e17 @ A_27a )
% 5.55/5.81 & ? [V207e18: $i] :
% 5.55/5.81 ( ( mem @ V207e18 @ A_27a )
% 5.55/5.81 & ? [V208e19: $i] :
% 5.55/5.81 ( ( mem @ V208e19 @ A_27a )
% 5.55/5.81 & ? [V209e20: $i] :
% 5.55/5.81 ( ( mem @ V209e20 @ A_27a )
% 5.55/5.81 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V189l_27 ) ) )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V190e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V191e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V192e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V193e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V194e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V195e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V196e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V197e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V198e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V199e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V200e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V201e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V202e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V203e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V204e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V205e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V206e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V207e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V208e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V209e20 ) @ V189l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.81 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.81 <=> ? [V210l_27: $i] :
% 5.55/5.81 ( ( mem @ V210l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V211e1: $i] :
% 5.55/5.81 ( ( mem @ V211e1 @ A_27a )
% 5.55/5.81 & ? [V212e2: $i] :
% 5.55/5.81 ( ( mem @ V212e2 @ A_27a )
% 5.55/5.81 & ? [V213e3: $i] :
% 5.55/5.81 ( ( mem @ V213e3 @ A_27a )
% 5.55/5.81 & ? [V214e4: $i] :
% 5.55/5.81 ( ( mem @ V214e4 @ A_27a )
% 5.55/5.81 & ? [V215e5: $i] :
% 5.55/5.81 ( ( mem @ V215e5 @ A_27a )
% 5.55/5.81 & ? [V216e6: $i] :
% 5.55/5.81 ( ( mem @ V216e6 @ A_27a )
% 5.55/5.81 & ? [V217e7: $i] :
% 5.55/5.81 ( ( mem @ V217e7 @ A_27a )
% 5.55/5.81 & ? [V218e8: $i] :
% 5.55/5.81 ( ( mem @ V218e8 @ A_27a )
% 5.55/5.81 & ? [V219e9: $i] :
% 5.55/5.81 ( ( mem @ V219e9 @ A_27a )
% 5.55/5.81 & ? [V220e10: $i] :
% 5.55/5.81 ( ( mem @ V220e10 @ A_27a )
% 5.55/5.81 & ? [V221e11: $i] :
% 5.55/5.81 ( ( mem @ V221e11 @ A_27a )
% 5.55/5.81 & ? [V222e12: $i] :
% 5.55/5.81 ( ( mem @ V222e12 @ A_27a )
% 5.55/5.81 & ? [V223e13: $i] :
% 5.55/5.81 ( ( mem @ V223e13 @ A_27a )
% 5.55/5.81 & ? [V224e14: $i] :
% 5.55/5.81 ( ( mem @ V224e14 @ A_27a )
% 5.55/5.81 & ? [V225e15: $i] :
% 5.55/5.81 ( ( mem @ V225e15 @ A_27a )
% 5.55/5.81 & ? [V226e16: $i] :
% 5.55/5.81 ( ( mem @ V226e16 @ A_27a )
% 5.55/5.81 & ? [V227e17: $i] :
% 5.55/5.81 ( ( mem @ V227e17 @ A_27a )
% 5.55/5.81 & ? [V228e18: $i] :
% 5.55/5.81 ( ( mem @ V228e18 @ A_27a )
% 5.55/5.81 & ? [V229e19: $i] :
% 5.55/5.81 ( ( mem @ V229e19 @ A_27a )
% 5.55/5.81 & ? [V230e20: $i] :
% 5.55/5.81 ( ( mem @ V230e20 @ A_27a )
% 5.55/5.81 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V210l_27 ) )
% 5.55/5.81 = V1x )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V211e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V212e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V213e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V214e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V215e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V216e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V217e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V218e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V219e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V220e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V221e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V222e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V223e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V224e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V225e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V226e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V227e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V228e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V229e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V230e20 ) @ V210l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.55/5.81 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.81 <=> ? [V231l_27: $i] :
% 5.55/5.81 ( ( mem @ V231l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V232e1: $i] :
% 5.55/5.81 ( ( mem @ V232e1 @ A_27a )
% 5.55/5.81 & ? [V233e2: $i] :
% 5.55/5.81 ( ( mem @ V233e2 @ A_27a )
% 5.55/5.81 & ? [V234e3: $i] :
% 5.55/5.81 ( ( mem @ V234e3 @ A_27a )
% 5.55/5.81 & ? [V235e4: $i] :
% 5.55/5.81 ( ( mem @ V235e4 @ A_27a )
% 5.55/5.81 & ? [V236e5: $i] :
% 5.55/5.81 ( ( mem @ V236e5 @ A_27a )
% 5.55/5.81 & ? [V237e6: $i] :
% 5.55/5.81 ( ( mem @ V237e6 @ A_27a )
% 5.55/5.81 & ? [V238e7: $i] :
% 5.55/5.81 ( ( mem @ V238e7 @ A_27a )
% 5.55/5.81 & ? [V239e8: $i] :
% 5.55/5.81 ( ( mem @ V239e8 @ A_27a )
% 5.55/5.81 & ? [V240e9: $i] :
% 5.55/5.81 ( ( mem @ V240e9 @ A_27a )
% 5.55/5.81 & ? [V241e10: $i] :
% 5.55/5.81 ( ( mem @ V241e10 @ A_27a )
% 5.55/5.81 & ? [V242e11: $i] :
% 5.55/5.81 ( ( mem @ V242e11 @ A_27a )
% 5.55/5.81 & ? [V243e12: $i] :
% 5.55/5.81 ( ( mem @ V243e12 @ A_27a )
% 5.55/5.81 & ? [V244e13: $i] :
% 5.55/5.81 ( ( mem @ V244e13 @ A_27a )
% 5.55/5.81 & ? [V245e14: $i] :
% 5.55/5.81 ( ( mem @ V245e14 @ A_27a )
% 5.55/5.81 & ? [V246e15: $i] :
% 5.55/5.81 ( ( mem @ V246e15 @ A_27a )
% 5.55/5.81 & ? [V247e16: $i] :
% 5.55/5.81 ( ( mem @ V247e16 @ A_27a )
% 5.55/5.81 & ? [V248e17: $i] :
% 5.55/5.81 ( ( mem @ V248e17 @ A_27a )
% 5.55/5.81 & ? [V249e18: $i] :
% 5.55/5.81 ( ( mem @ V249e18 @ A_27a )
% 5.55/5.81 & ? [V250e19: $i] :
% 5.55/5.81 ( ( mem @ V250e19 @ A_27a )
% 5.55/5.81 & ? [V251e20: $i] :
% 5.55/5.81 ( ( mem @ V251e20 @ A_27a )
% 5.55/5.81 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V231l_27 ) )
% 5.55/5.81 = V1x )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V232e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V233e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V234e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V235e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V236e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V237e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V238e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V239e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V240e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V241e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V242e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V243e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V244e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V245e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V246e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V247e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V248e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V249e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V250e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V251e20 ) @ V231l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.81 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) )
% 5.55/5.81 <=> ? [V252l_27: $i] :
% 5.55/5.81 ( ( mem @ V252l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V253e1: $i] :
% 5.55/5.81 ( ( mem @ V253e1 @ A_27a )
% 5.55/5.81 & ? [V254e2: $i] :
% 5.55/5.81 ( ( mem @ V254e2 @ A_27a )
% 5.55/5.81 & ? [V255e3: $i] :
% 5.55/5.81 ( ( mem @ V255e3 @ A_27a )
% 5.55/5.81 & ? [V256e4: $i] :
% 5.55/5.81 ( ( mem @ V256e4 @ A_27a )
% 5.55/5.81 & ? [V257e5: $i] :
% 5.55/5.81 ( ( mem @ V257e5 @ A_27a )
% 5.55/5.81 & ? [V258e6: $i] :
% 5.55/5.81 ( ( mem @ V258e6 @ A_27a )
% 5.55/5.81 & ? [V259e7: $i] :
% 5.55/5.81 ( ( mem @ V259e7 @ A_27a )
% 5.55/5.81 & ? [V260e8: $i] :
% 5.55/5.81 ( ( mem @ V260e8 @ A_27a )
% 5.55/5.81 & ? [V261e9: $i] :
% 5.55/5.81 ( ( mem @ V261e9 @ A_27a )
% 5.55/5.81 & ? [V262e10: $i] :
% 5.55/5.81 ( ( mem @ V262e10 @ A_27a )
% 5.55/5.81 & ? [V263e11: $i] :
% 5.55/5.81 ( ( mem @ V263e11 @ A_27a )
% 5.55/5.81 & ? [V264e12: $i] :
% 5.55/5.81 ( ( mem @ V264e12 @ A_27a )
% 5.55/5.81 & ? [V265e13: $i] :
% 5.55/5.81 ( ( mem @ V265e13 @ A_27a )
% 5.55/5.81 & ? [V266e14: $i] :
% 5.55/5.81 ( ( mem @ V266e14 @ A_27a )
% 5.55/5.81 & ? [V267e15: $i] :
% 5.55/5.81 ( ( mem @ V267e15 @ A_27a )
% 5.55/5.81 & ? [V268e16: $i] :
% 5.55/5.81 ( ( mem @ V268e16 @ A_27a )
% 5.55/5.81 & ? [V269e17: $i] :
% 5.55/5.81 ( ( mem @ V269e17 @ A_27a )
% 5.55/5.81 & ? [V270e18: $i] :
% 5.55/5.81 ( ( mem @ V270e18 @ A_27a )
% 5.55/5.81 & ? [V271e19: $i] :
% 5.55/5.81 ( ( mem @ V271e19 @ A_27a )
% 5.55/5.81 & ? [V272e20: $i] :
% 5.55/5.81 ( ( mem @ V272e20 @ A_27a )
% 5.55/5.81 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V252l_27 ) )
% 5.55/5.81 = V1x )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V253e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V254e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V255e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V256e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V257e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V258e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V259e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V260e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V261e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V262e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V263e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V264e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V265e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V266e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V267e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V268e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V269e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V270e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V271e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V272e20 ) @ V252l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.81 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.81 <=> ? [V273l_27: $i] :
% 5.55/5.81 ( ( mem @ V273l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V274e1: $i] :
% 5.55/5.81 ( ( mem @ V274e1 @ A_27a )
% 5.55/5.81 & ? [V275e2: $i] :
% 5.55/5.81 ( ( mem @ V275e2 @ A_27a )
% 5.55/5.81 & ? [V276e3: $i] :
% 5.55/5.81 ( ( mem @ V276e3 @ A_27a )
% 5.55/5.81 & ? [V277e4: $i] :
% 5.55/5.81 ( ( mem @ V277e4 @ A_27a )
% 5.55/5.81 & ? [V278e5: $i] :
% 5.55/5.81 ( ( mem @ V278e5 @ A_27a )
% 5.55/5.81 & ? [V279e6: $i] :
% 5.55/5.81 ( ( mem @ V279e6 @ A_27a )
% 5.55/5.81 & ? [V280e7: $i] :
% 5.55/5.81 ( ( mem @ V280e7 @ A_27a )
% 5.55/5.81 & ? [V281e8: $i] :
% 5.55/5.81 ( ( mem @ V281e8 @ A_27a )
% 5.55/5.81 & ? [V282e9: $i] :
% 5.55/5.81 ( ( mem @ V282e9 @ A_27a )
% 5.55/5.81 & ? [V283e10: $i] :
% 5.55/5.81 ( ( mem @ V283e10 @ A_27a )
% 5.55/5.81 & ? [V284e11: $i] :
% 5.55/5.81 ( ( mem @ V284e11 @ A_27a )
% 5.55/5.81 & ? [V285e12: $i] :
% 5.55/5.81 ( ( mem @ V285e12 @ A_27a )
% 5.55/5.81 & ? [V286e13: $i] :
% 5.55/5.81 ( ( mem @ V286e13 @ A_27a )
% 5.55/5.81 & ? [V287e14: $i] :
% 5.55/5.81 ( ( mem @ V287e14 @ A_27a )
% 5.55/5.81 & ? [V288e15: $i] :
% 5.55/5.81 ( ( mem @ V288e15 @ A_27a )
% 5.55/5.81 & ? [V289e16: $i] :
% 5.55/5.81 ( ( mem @ V289e16 @ A_27a )
% 5.55/5.81 & ? [V290e17: $i] :
% 5.55/5.81 ( ( mem @ V290e17 @ A_27a )
% 5.55/5.81 & ? [V291e18: $i] :
% 5.55/5.81 ( ( mem @ V291e18 @ A_27a )
% 5.55/5.81 & ? [V292e19: $i] :
% 5.55/5.81 ( ( mem @ V292e19 @ A_27a )
% 5.55/5.81 & ? [V293e20: $i] :
% 5.55/5.81 ( ( mem @ V293e20 @ A_27a )
% 5.55/5.81 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V273l_27 ) )
% 5.55/5.81 = V1x )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V274e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V275e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V276e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V277e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V278e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V279e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V280e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V281e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V282e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V283e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V284e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V285e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V286e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V287e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V288e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V289e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V290e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V291e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V292e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V293e20 ) @ V273l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.81 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.81 <=> ? [V294e1: $i] :
% 5.55/5.81 ( ( mem @ V294e1 @ A_27a )
% 5.55/5.81 & ? [V295e2: $i] :
% 5.55/5.81 ( ( mem @ V295e2 @ A_27a )
% 5.55/5.81 & ? [V296e3: $i] :
% 5.55/5.81 ( ( mem @ V296e3 @ A_27a )
% 5.55/5.81 & ? [V297e4: $i] :
% 5.55/5.81 ( ( mem @ V297e4 @ A_27a )
% 5.55/5.81 & ? [V298e5: $i] :
% 5.55/5.81 ( ( mem @ V298e5 @ A_27a )
% 5.55/5.81 & ? [V299e6: $i] :
% 5.55/5.81 ( ( mem @ V299e6 @ A_27a )
% 5.55/5.81 & ? [V300e7: $i] :
% 5.55/5.81 ( ( mem @ V300e7 @ A_27a )
% 5.55/5.81 & ? [V301e8: $i] :
% 5.55/5.81 ( ( mem @ V301e8 @ A_27a )
% 5.55/5.81 & ? [V302e9: $i] :
% 5.55/5.81 ( ( mem @ V302e9 @ A_27a )
% 5.55/5.81 & ? [V303e10: $i] :
% 5.55/5.81 ( ( mem @ V303e10 @ A_27a )
% 5.55/5.81 & ? [V304e11: $i] :
% 5.55/5.81 ( ( mem @ V304e11 @ A_27a )
% 5.55/5.81 & ? [V305e12: $i] :
% 5.55/5.81 ( ( mem @ V305e12 @ A_27a )
% 5.55/5.81 & ? [V306e13: $i] :
% 5.55/5.81 ( ( mem @ V306e13 @ A_27a )
% 5.55/5.81 & ? [V307e14: $i] :
% 5.55/5.81 ( ( mem @ V307e14 @ A_27a )
% 5.55/5.81 & ? [V308e15: $i] :
% 5.55/5.81 ( ( mem @ V308e15 @ A_27a )
% 5.55/5.81 & ? [V309e16: $i] :
% 5.55/5.81 ( ( mem @ V309e16 @ A_27a )
% 5.55/5.81 & ? [V310e17: $i] :
% 5.55/5.81 ( ( mem @ V310e17 @ A_27a )
% 5.55/5.81 & ? [V311e18: $i] :
% 5.55/5.81 ( ( mem @ V311e18 @ A_27a )
% 5.55/5.81 & ? [V312e19: $i] :
% 5.55/5.81 ( ( mem @ V312e19 @ A_27a )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V294e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V295e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V296e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V297e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V298e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V299e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V300e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V301e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V302e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V303e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V304e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V305e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V306e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V307e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V308e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V309e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V310e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V311e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V312e19 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.81 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.81 <=> ? [V313e1: $i] :
% 5.55/5.81 ( ( mem @ V313e1 @ A_27a )
% 5.55/5.81 & ? [V314e2: $i] :
% 5.55/5.81 ( ( mem @ V314e2 @ A_27a )
% 5.55/5.81 & ? [V315e3: $i] :
% 5.55/5.81 ( ( mem @ V315e3 @ A_27a )
% 5.55/5.81 & ? [V316e4: $i] :
% 5.55/5.81 ( ( mem @ V316e4 @ A_27a )
% 5.55/5.81 & ? [V317e5: $i] :
% 5.55/5.81 ( ( mem @ V317e5 @ A_27a )
% 5.55/5.81 & ? [V318e6: $i] :
% 5.55/5.81 ( ( mem @ V318e6 @ A_27a )
% 5.55/5.81 & ? [V319e7: $i] :
% 5.55/5.81 ( ( mem @ V319e7 @ A_27a )
% 5.55/5.81 & ? [V320e8: $i] :
% 5.55/5.81 ( ( mem @ V320e8 @ A_27a )
% 5.55/5.81 & ? [V321e9: $i] :
% 5.55/5.81 ( ( mem @ V321e9 @ A_27a )
% 5.55/5.81 & ? [V322e10: $i] :
% 5.55/5.81 ( ( mem @ V322e10 @ A_27a )
% 5.55/5.81 & ? [V323e11: $i] :
% 5.55/5.81 ( ( mem @ V323e11 @ A_27a )
% 5.55/5.81 & ? [V324e12: $i] :
% 5.55/5.81 ( ( mem @ V324e12 @ A_27a )
% 5.55/5.81 & ? [V325e13: $i] :
% 5.55/5.81 ( ( mem @ V325e13 @ A_27a )
% 5.55/5.81 & ? [V326e14: $i] :
% 5.55/5.81 ( ( mem @ V326e14 @ A_27a )
% 5.55/5.81 & ? [V327e15: $i] :
% 5.55/5.81 ( ( mem @ V327e15 @ A_27a )
% 5.55/5.81 & ? [V328e16: $i] :
% 5.55/5.81 ( ( mem @ V328e16 @ A_27a )
% 5.55/5.81 & ? [V329e17: $i] :
% 5.55/5.81 ( ( mem @ V329e17 @ A_27a )
% 5.55/5.81 & ? [V330e18: $i] :
% 5.55/5.81 ( ( mem @ V330e18 @ A_27a )
% 5.55/5.81 & ? [V331e19: $i] :
% 5.55/5.81 ( ( mem @ V331e19 @ A_27a )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V313e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V314e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V315e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V316e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V317e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V318e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V319e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V320e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V321e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V322e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V323e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V324e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V325e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V326e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V327e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V328e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V329e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V330e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V331e19 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.81 <=> ? [V332l_27: $i] :
% 5.55/5.81 ( ( mem @ V332l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V333e1: $i] :
% 5.55/5.81 ( ( mem @ V333e1 @ A_27a )
% 5.55/5.81 & ? [V334e2: $i] :
% 5.55/5.81 ( ( mem @ V334e2 @ A_27a )
% 5.55/5.81 & ? [V335e3: $i] :
% 5.55/5.81 ( ( mem @ V335e3 @ A_27a )
% 5.55/5.81 & ? [V336e4: $i] :
% 5.55/5.81 ( ( mem @ V336e4 @ A_27a )
% 5.55/5.81 & ? [V337e5: $i] :
% 5.55/5.81 ( ( mem @ V337e5 @ A_27a )
% 5.55/5.81 & ? [V338e6: $i] :
% 5.55/5.81 ( ( mem @ V338e6 @ A_27a )
% 5.55/5.81 & ? [V339e7: $i] :
% 5.55/5.81 ( ( mem @ V339e7 @ A_27a )
% 5.55/5.81 & ? [V340e8: $i] :
% 5.55/5.81 ( ( mem @ V340e8 @ A_27a )
% 5.55/5.81 & ? [V341e9: $i] :
% 5.55/5.81 ( ( mem @ V341e9 @ A_27a )
% 5.55/5.81 & ? [V342e10: $i] :
% 5.55/5.81 ( ( mem @ V342e10 @ A_27a )
% 5.55/5.81 & ? [V343e11: $i] :
% 5.55/5.81 ( ( mem @ V343e11 @ A_27a )
% 5.55/5.81 & ? [V344e12: $i] :
% 5.55/5.81 ( ( mem @ V344e12 @ A_27a )
% 5.55/5.81 & ? [V345e13: $i] :
% 5.55/5.81 ( ( mem @ V345e13 @ A_27a )
% 5.55/5.81 & ? [V346e14: $i] :
% 5.55/5.81 ( ( mem @ V346e14 @ A_27a )
% 5.55/5.81 & ? [V347e15: $i] :
% 5.55/5.81 ( ( mem @ V347e15 @ A_27a )
% 5.55/5.81 & ? [V348e16: $i] :
% 5.55/5.81 ( ( mem @ V348e16 @ A_27a )
% 5.55/5.81 & ? [V349e17: $i] :
% 5.55/5.81 ( ( mem @ V349e17 @ A_27a )
% 5.55/5.81 & ? [V350e18: $i] :
% 5.55/5.81 ( ( mem @ V350e18 @ A_27a )
% 5.55/5.81 & ? [V351e19: $i] :
% 5.55/5.81 ( ( mem @ V351e19 @ A_27a )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V333e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V334e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V335e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V336e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V337e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V338e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V339e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V340e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V341e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V342e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V343e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V344e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V345e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V346e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V347e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V348e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V349e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V350e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V351e19 ) @ V332l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.81 <=> ? [V352l_27: $i] :
% 5.55/5.81 ( ( mem @ V352l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V353e1: $i] :
% 5.55/5.81 ( ( mem @ V353e1 @ A_27a )
% 5.55/5.81 & ? [V354e2: $i] :
% 5.55/5.81 ( ( mem @ V354e2 @ A_27a )
% 5.55/5.81 & ? [V355e3: $i] :
% 5.55/5.81 ( ( mem @ V355e3 @ A_27a )
% 5.55/5.81 & ? [V356e4: $i] :
% 5.55/5.81 ( ( mem @ V356e4 @ A_27a )
% 5.55/5.81 & ? [V357e5: $i] :
% 5.55/5.81 ( ( mem @ V357e5 @ A_27a )
% 5.55/5.81 & ? [V358e6: $i] :
% 5.55/5.81 ( ( mem @ V358e6 @ A_27a )
% 5.55/5.81 & ? [V359e7: $i] :
% 5.55/5.81 ( ( mem @ V359e7 @ A_27a )
% 5.55/5.81 & ? [V360e8: $i] :
% 5.55/5.81 ( ( mem @ V360e8 @ A_27a )
% 5.55/5.81 & ? [V361e9: $i] :
% 5.55/5.81 ( ( mem @ V361e9 @ A_27a )
% 5.55/5.81 & ? [V362e10: $i] :
% 5.55/5.81 ( ( mem @ V362e10 @ A_27a )
% 5.55/5.81 & ? [V363e11: $i] :
% 5.55/5.81 ( ( mem @ V363e11 @ A_27a )
% 5.55/5.81 & ? [V364e12: $i] :
% 5.55/5.81 ( ( mem @ V364e12 @ A_27a )
% 5.55/5.81 & ? [V365e13: $i] :
% 5.55/5.81 ( ( mem @ V365e13 @ A_27a )
% 5.55/5.81 & ? [V366e14: $i] :
% 5.55/5.81 ( ( mem @ V366e14 @ A_27a )
% 5.55/5.81 & ? [V367e15: $i] :
% 5.55/5.81 ( ( mem @ V367e15 @ A_27a )
% 5.55/5.81 & ? [V368e16: $i] :
% 5.55/5.81 ( ( mem @ V368e16 @ A_27a )
% 5.55/5.81 & ? [V369e17: $i] :
% 5.55/5.81 ( ( mem @ V369e17 @ A_27a )
% 5.55/5.81 & ? [V370e18: $i] :
% 5.55/5.81 ( ( mem @ V370e18 @ A_27a )
% 5.55/5.81 & ? [V371e19: $i] :
% 5.55/5.81 ( ( mem @ V371e19 @ A_27a )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V353e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V354e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V355e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V356e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V357e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V358e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V359e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V360e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V361e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V362e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V363e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V364e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V365e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V366e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V367e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V368e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V369e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V370e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V371e19 ) @ V352l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.81 <=> ? [V372l_27: $i] :
% 5.55/5.81 ( ( mem @ V372l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V373e1: $i] :
% 5.55/5.81 ( ( mem @ V373e1 @ A_27a )
% 5.55/5.81 & ? [V374e2: $i] :
% 5.55/5.81 ( ( mem @ V374e2 @ A_27a )
% 5.55/5.81 & ? [V375e3: $i] :
% 5.55/5.81 ( ( mem @ V375e3 @ A_27a )
% 5.55/5.81 & ? [V376e4: $i] :
% 5.55/5.81 ( ( mem @ V376e4 @ A_27a )
% 5.55/5.81 & ? [V377e5: $i] :
% 5.55/5.81 ( ( mem @ V377e5 @ A_27a )
% 5.55/5.81 & ? [V378e6: $i] :
% 5.55/5.81 ( ( mem @ V378e6 @ A_27a )
% 5.55/5.81 & ? [V379e7: $i] :
% 5.55/5.81 ( ( mem @ V379e7 @ A_27a )
% 5.55/5.81 & ? [V380e8: $i] :
% 5.55/5.81 ( ( mem @ V380e8 @ A_27a )
% 5.55/5.81 & ? [V381e9: $i] :
% 5.55/5.81 ( ( mem @ V381e9 @ A_27a )
% 5.55/5.81 & ? [V382e10: $i] :
% 5.55/5.81 ( ( mem @ V382e10 @ A_27a )
% 5.55/5.81 & ? [V383e11: $i] :
% 5.55/5.81 ( ( mem @ V383e11 @ A_27a )
% 5.55/5.81 & ? [V384e12: $i] :
% 5.55/5.81 ( ( mem @ V384e12 @ A_27a )
% 5.55/5.81 & ? [V385e13: $i] :
% 5.55/5.81 ( ( mem @ V385e13 @ A_27a )
% 5.55/5.81 & ? [V386e14: $i] :
% 5.55/5.81 ( ( mem @ V386e14 @ A_27a )
% 5.55/5.81 & ? [V387e15: $i] :
% 5.55/5.81 ( ( mem @ V387e15 @ A_27a )
% 5.55/5.81 & ? [V388e16: $i] :
% 5.55/5.81 ( ( mem @ V388e16 @ A_27a )
% 5.55/5.81 & ? [V389e17: $i] :
% 5.55/5.81 ( ( mem @ V389e17 @ A_27a )
% 5.55/5.81 & ? [V390e18: $i] :
% 5.55/5.81 ( ( mem @ V390e18 @ A_27a )
% 5.55/5.81 & ? [V391e19: $i] :
% 5.55/5.81 ( ( mem @ V391e19 @ A_27a )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V373e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V374e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V375e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V376e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V377e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V378e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V379e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V380e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V381e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V382e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V383e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V384e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V385e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V386e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V387e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V388e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V389e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V390e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V391e19 ) @ V372l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.81 <=> ? [V392l_27: $i] :
% 5.55/5.81 ( ( mem @ V392l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V393e1: $i] :
% 5.55/5.81 ( ( mem @ V393e1 @ A_27a )
% 5.55/5.81 & ? [V394e2: $i] :
% 5.55/5.81 ( ( mem @ V394e2 @ A_27a )
% 5.55/5.81 & ? [V395e3: $i] :
% 5.55/5.81 ( ( mem @ V395e3 @ A_27a )
% 5.55/5.81 & ? [V396e4: $i] :
% 5.55/5.81 ( ( mem @ V396e4 @ A_27a )
% 5.55/5.81 & ? [V397e5: $i] :
% 5.55/5.81 ( ( mem @ V397e5 @ A_27a )
% 5.55/5.81 & ? [V398e6: $i] :
% 5.55/5.81 ( ( mem @ V398e6 @ A_27a )
% 5.55/5.81 & ? [V399e7: $i] :
% 5.55/5.81 ( ( mem @ V399e7 @ A_27a )
% 5.55/5.81 & ? [V400e8: $i] :
% 5.55/5.81 ( ( mem @ V400e8 @ A_27a )
% 5.55/5.81 & ? [V401e9: $i] :
% 5.55/5.81 ( ( mem @ V401e9 @ A_27a )
% 5.55/5.81 & ? [V402e10: $i] :
% 5.55/5.81 ( ( mem @ V402e10 @ A_27a )
% 5.55/5.81 & ? [V403e11: $i] :
% 5.55/5.81 ( ( mem @ V403e11 @ A_27a )
% 5.55/5.81 & ? [V404e12: $i] :
% 5.55/5.81 ( ( mem @ V404e12 @ A_27a )
% 5.55/5.81 & ? [V405e13: $i] :
% 5.55/5.81 ( ( mem @ V405e13 @ A_27a )
% 5.55/5.81 & ? [V406e14: $i] :
% 5.55/5.81 ( ( mem @ V406e14 @ A_27a )
% 5.55/5.81 & ? [V407e15: $i] :
% 5.55/5.81 ( ( mem @ V407e15 @ A_27a )
% 5.55/5.81 & ? [V408e16: $i] :
% 5.55/5.81 ( ( mem @ V408e16 @ A_27a )
% 5.55/5.81 & ? [V409e17: $i] :
% 5.55/5.81 ( ( mem @ V409e17 @ A_27a )
% 5.55/5.81 & ? [V410e18: $i] :
% 5.55/5.81 ( ( mem @ V410e18 @ A_27a )
% 5.55/5.81 & ? [V411e19: $i] :
% 5.55/5.81 ( ( mem @ V411e19 @ A_27a )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V393e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V394e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V395e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V396e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V397e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V398e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V399e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V400e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V401e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V402e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V403e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V404e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V405e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V406e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V407e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V408e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V409e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V410e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V411e19 ) @ V392l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.81 <=> ? [V412l_27: $i] :
% 5.55/5.81 ( ( mem @ V412l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V413e1: $i] :
% 5.55/5.81 ( ( mem @ V413e1 @ A_27a )
% 5.55/5.81 & ? [V414e2: $i] :
% 5.55/5.81 ( ( mem @ V414e2 @ A_27a )
% 5.55/5.81 & ? [V415e3: $i] :
% 5.55/5.81 ( ( mem @ V415e3 @ A_27a )
% 5.55/5.81 & ? [V416e4: $i] :
% 5.55/5.81 ( ( mem @ V416e4 @ A_27a )
% 5.55/5.81 & ? [V417e5: $i] :
% 5.55/5.81 ( ( mem @ V417e5 @ A_27a )
% 5.55/5.81 & ? [V418e6: $i] :
% 5.55/5.81 ( ( mem @ V418e6 @ A_27a )
% 5.55/5.81 & ? [V419e7: $i] :
% 5.55/5.81 ( ( mem @ V419e7 @ A_27a )
% 5.55/5.81 & ? [V420e8: $i] :
% 5.55/5.81 ( ( mem @ V420e8 @ A_27a )
% 5.55/5.81 & ? [V421e9: $i] :
% 5.55/5.81 ( ( mem @ V421e9 @ A_27a )
% 5.55/5.81 & ? [V422e10: $i] :
% 5.55/5.81 ( ( mem @ V422e10 @ A_27a )
% 5.55/5.81 & ? [V423e11: $i] :
% 5.55/5.81 ( ( mem @ V423e11 @ A_27a )
% 5.55/5.81 & ? [V424e12: $i] :
% 5.55/5.81 ( ( mem @ V424e12 @ A_27a )
% 5.55/5.81 & ? [V425e13: $i] :
% 5.55/5.81 ( ( mem @ V425e13 @ A_27a )
% 5.55/5.81 & ? [V426e14: $i] :
% 5.55/5.81 ( ( mem @ V426e14 @ A_27a )
% 5.55/5.81 & ? [V427e15: $i] :
% 5.55/5.81 ( ( mem @ V427e15 @ A_27a )
% 5.55/5.81 & ? [V428e16: $i] :
% 5.55/5.81 ( ( mem @ V428e16 @ A_27a )
% 5.55/5.81 & ? [V429e17: $i] :
% 5.55/5.81 ( ( mem @ V429e17 @ A_27a )
% 5.55/5.81 & ? [V430e18: $i] :
% 5.55/5.81 ( ( mem @ V430e18 @ A_27a )
% 5.55/5.81 & ? [V431e19: $i] :
% 5.55/5.81 ( ( mem @ V431e19 @ A_27a )
% 5.55/5.81 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V412l_27 ) ) )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V413e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V414e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V415e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V416e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V417e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V418e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V419e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V420e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V421e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V422e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V423e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V424e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V425e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V426e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V427e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V428e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V429e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V430e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V431e19 ) @ V412l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.81 <=> ? [V432l_27: $i] :
% 5.55/5.81 ( ( mem @ V432l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V433e1: $i] :
% 5.55/5.81 ( ( mem @ V433e1 @ A_27a )
% 5.55/5.81 & ? [V434e2: $i] :
% 5.55/5.81 ( ( mem @ V434e2 @ A_27a )
% 5.55/5.81 & ? [V435e3: $i] :
% 5.55/5.81 ( ( mem @ V435e3 @ A_27a )
% 5.55/5.81 & ? [V436e4: $i] :
% 5.55/5.81 ( ( mem @ V436e4 @ A_27a )
% 5.55/5.81 & ? [V437e5: $i] :
% 5.55/5.81 ( ( mem @ V437e5 @ A_27a )
% 5.55/5.81 & ? [V438e6: $i] :
% 5.55/5.81 ( ( mem @ V438e6 @ A_27a )
% 5.55/5.81 & ? [V439e7: $i] :
% 5.55/5.81 ( ( mem @ V439e7 @ A_27a )
% 5.55/5.81 & ? [V440e8: $i] :
% 5.55/5.81 ( ( mem @ V440e8 @ A_27a )
% 5.55/5.81 & ? [V441e9: $i] :
% 5.55/5.81 ( ( mem @ V441e9 @ A_27a )
% 5.55/5.81 & ? [V442e10: $i] :
% 5.55/5.81 ( ( mem @ V442e10 @ A_27a )
% 5.55/5.81 & ? [V443e11: $i] :
% 5.55/5.81 ( ( mem @ V443e11 @ A_27a )
% 5.55/5.81 & ? [V444e12: $i] :
% 5.55/5.81 ( ( mem @ V444e12 @ A_27a )
% 5.55/5.81 & ? [V445e13: $i] :
% 5.55/5.81 ( ( mem @ V445e13 @ A_27a )
% 5.55/5.81 & ? [V446e14: $i] :
% 5.55/5.81 ( ( mem @ V446e14 @ A_27a )
% 5.55/5.81 & ? [V447e15: $i] :
% 5.55/5.81 ( ( mem @ V447e15 @ A_27a )
% 5.55/5.81 & ? [V448e16: $i] :
% 5.55/5.81 ( ( mem @ V448e16 @ A_27a )
% 5.55/5.81 & ? [V449e17: $i] :
% 5.55/5.81 ( ( mem @ V449e17 @ A_27a )
% 5.55/5.81 & ? [V450e18: $i] :
% 5.55/5.81 ( ( mem @ V450e18 @ A_27a )
% 5.55/5.81 & ? [V451e19: $i] :
% 5.55/5.81 ( ( mem @ V451e19 @ A_27a )
% 5.55/5.81 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V432l_27 ) ) )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V433e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V434e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V435e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V436e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V437e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V438e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V439e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V440e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V441e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V442e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V443e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V444e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V445e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V446e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V447e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V448e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V449e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V450e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V451e19 ) @ V432l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.81 <=> ? [V452l_27: $i] :
% 5.55/5.81 ( ( mem @ V452l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V453e1: $i] :
% 5.55/5.81 ( ( mem @ V453e1 @ A_27a )
% 5.55/5.81 & ? [V454e2: $i] :
% 5.55/5.81 ( ( mem @ V454e2 @ A_27a )
% 5.55/5.81 & ? [V455e3: $i] :
% 5.55/5.81 ( ( mem @ V455e3 @ A_27a )
% 5.55/5.81 & ? [V456e4: $i] :
% 5.55/5.81 ( ( mem @ V456e4 @ A_27a )
% 5.55/5.81 & ? [V457e5: $i] :
% 5.55/5.81 ( ( mem @ V457e5 @ A_27a )
% 5.55/5.81 & ? [V458e6: $i] :
% 5.55/5.81 ( ( mem @ V458e6 @ A_27a )
% 5.55/5.81 & ? [V459e7: $i] :
% 5.55/5.81 ( ( mem @ V459e7 @ A_27a )
% 5.55/5.81 & ? [V460e8: $i] :
% 5.55/5.81 ( ( mem @ V460e8 @ A_27a )
% 5.55/5.81 & ? [V461e9: $i] :
% 5.55/5.81 ( ( mem @ V461e9 @ A_27a )
% 5.55/5.81 & ? [V462e10: $i] :
% 5.55/5.81 ( ( mem @ V462e10 @ A_27a )
% 5.55/5.81 & ? [V463e11: $i] :
% 5.55/5.81 ( ( mem @ V463e11 @ A_27a )
% 5.55/5.81 & ? [V464e12: $i] :
% 5.55/5.81 ( ( mem @ V464e12 @ A_27a )
% 5.55/5.81 & ? [V465e13: $i] :
% 5.55/5.81 ( ( mem @ V465e13 @ A_27a )
% 5.55/5.81 & ? [V466e14: $i] :
% 5.55/5.81 ( ( mem @ V466e14 @ A_27a )
% 5.55/5.81 & ? [V467e15: $i] :
% 5.55/5.81 ( ( mem @ V467e15 @ A_27a )
% 5.55/5.81 & ? [V468e16: $i] :
% 5.55/5.81 ( ( mem @ V468e16 @ A_27a )
% 5.55/5.81 & ? [V469e17: $i] :
% 5.55/5.81 ( ( mem @ V469e17 @ A_27a )
% 5.55/5.81 & ? [V470e18: $i] :
% 5.55/5.81 ( ( mem @ V470e18 @ A_27a )
% 5.55/5.81 & ? [V471e19: $i] :
% 5.55/5.81 ( ( mem @ V471e19 @ A_27a )
% 5.55/5.81 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V452l_27 ) ) )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V453e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V454e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V455e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V456e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V457e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V458e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V459e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V460e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V461e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V462e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V463e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V464e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V465e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V466e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V467e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V468e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V469e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V470e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V471e19 ) @ V452l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) )
% 5.55/5.81 <=> ? [V472l_27: $i] :
% 5.55/5.81 ( ( mem @ V472l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V473e1: $i] :
% 5.55/5.81 ( ( mem @ V473e1 @ A_27a )
% 5.55/5.81 & ? [V474e2: $i] :
% 5.55/5.81 ( ( mem @ V474e2 @ A_27a )
% 5.55/5.81 & ? [V475e3: $i] :
% 5.55/5.81 ( ( mem @ V475e3 @ A_27a )
% 5.55/5.81 & ? [V476e4: $i] :
% 5.55/5.81 ( ( mem @ V476e4 @ A_27a )
% 5.55/5.81 & ? [V477e5: $i] :
% 5.55/5.81 ( ( mem @ V477e5 @ A_27a )
% 5.55/5.81 & ? [V478e6: $i] :
% 5.55/5.81 ( ( mem @ V478e6 @ A_27a )
% 5.55/5.81 & ? [V479e7: $i] :
% 5.55/5.81 ( ( mem @ V479e7 @ A_27a )
% 5.55/5.81 & ? [V480e8: $i] :
% 5.55/5.81 ( ( mem @ V480e8 @ A_27a )
% 5.55/5.81 & ? [V481e9: $i] :
% 5.55/5.81 ( ( mem @ V481e9 @ A_27a )
% 5.55/5.81 & ? [V482e10: $i] :
% 5.55/5.81 ( ( mem @ V482e10 @ A_27a )
% 5.55/5.81 & ? [V483e11: $i] :
% 5.55/5.81 ( ( mem @ V483e11 @ A_27a )
% 5.55/5.81 & ? [V484e12: $i] :
% 5.55/5.81 ( ( mem @ V484e12 @ A_27a )
% 5.55/5.81 & ? [V485e13: $i] :
% 5.55/5.81 ( ( mem @ V485e13 @ A_27a )
% 5.55/5.81 & ? [V486e14: $i] :
% 5.55/5.81 ( ( mem @ V486e14 @ A_27a )
% 5.55/5.81 & ? [V487e15: $i] :
% 5.55/5.81 ( ( mem @ V487e15 @ A_27a )
% 5.55/5.81 & ? [V488e16: $i] :
% 5.55/5.81 ( ( mem @ V488e16 @ A_27a )
% 5.55/5.81 & ? [V489e17: $i] :
% 5.55/5.81 ( ( mem @ V489e17 @ A_27a )
% 5.55/5.81 & ? [V490e18: $i] :
% 5.55/5.81 ( ( mem @ V490e18 @ A_27a )
% 5.55/5.81 & ? [V491e19: $i] :
% 5.55/5.81 ( ( mem @ V491e19 @ A_27a )
% 5.55/5.81 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V472l_27 ) ) )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V473e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V474e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V475e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V476e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V477e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V478e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V479e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V480e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V481e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V482e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V483e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V484e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V485e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V486e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V487e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V488e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V489e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V490e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V491e19 ) @ V472l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.81 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.81 <=> ? [V492l_27: $i] :
% 5.55/5.81 ( ( mem @ V492l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V493e1: $i] :
% 5.55/5.81 ( ( mem @ V493e1 @ A_27a )
% 5.55/5.81 & ? [V494e2: $i] :
% 5.55/5.81 ( ( mem @ V494e2 @ A_27a )
% 5.55/5.81 & ? [V495e3: $i] :
% 5.55/5.81 ( ( mem @ V495e3 @ A_27a )
% 5.55/5.81 & ? [V496e4: $i] :
% 5.55/5.81 ( ( mem @ V496e4 @ A_27a )
% 5.55/5.81 & ? [V497e5: $i] :
% 5.55/5.81 ( ( mem @ V497e5 @ A_27a )
% 5.55/5.81 & ? [V498e6: $i] :
% 5.55/5.81 ( ( mem @ V498e6 @ A_27a )
% 5.55/5.81 & ? [V499e7: $i] :
% 5.55/5.81 ( ( mem @ V499e7 @ A_27a )
% 5.55/5.81 & ? [V500e8: $i] :
% 5.55/5.81 ( ( mem @ V500e8 @ A_27a )
% 5.55/5.81 & ? [V501e9: $i] :
% 5.55/5.81 ( ( mem @ V501e9 @ A_27a )
% 5.55/5.81 & ? [V502e10: $i] :
% 5.55/5.81 ( ( mem @ V502e10 @ A_27a )
% 5.55/5.81 & ? [V503e11: $i] :
% 5.55/5.81 ( ( mem @ V503e11 @ A_27a )
% 5.55/5.81 & ? [V504e12: $i] :
% 5.55/5.81 ( ( mem @ V504e12 @ A_27a )
% 5.55/5.81 & ? [V505e13: $i] :
% 5.55/5.81 ( ( mem @ V505e13 @ A_27a )
% 5.55/5.81 & ? [V506e14: $i] :
% 5.55/5.81 ( ( mem @ V506e14 @ A_27a )
% 5.55/5.81 & ? [V507e15: $i] :
% 5.55/5.81 ( ( mem @ V507e15 @ A_27a )
% 5.55/5.81 & ? [V508e16: $i] :
% 5.55/5.81 ( ( mem @ V508e16 @ A_27a )
% 5.55/5.81 & ? [V509e17: $i] :
% 5.55/5.81 ( ( mem @ V509e17 @ A_27a )
% 5.55/5.81 & ? [V510e18: $i] :
% 5.55/5.81 ( ( mem @ V510e18 @ A_27a )
% 5.55/5.81 & ? [V511e19: $i] :
% 5.55/5.81 ( ( mem @ V511e19 @ A_27a )
% 5.55/5.81 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V492l_27 ) )
% 5.55/5.81 = V1x )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V493e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V494e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V495e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V496e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V497e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V498e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V499e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V500e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V501e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V502e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V503e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V504e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V505e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V506e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V507e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V508e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V509e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V510e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V511e19 ) @ V492l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.55/5.81 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.81 <=> ? [V512l_27: $i] :
% 5.55/5.81 ( ( mem @ V512l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V513e1: $i] :
% 5.55/5.81 ( ( mem @ V513e1 @ A_27a )
% 5.55/5.81 & ? [V514e2: $i] :
% 5.55/5.81 ( ( mem @ V514e2 @ A_27a )
% 5.55/5.81 & ? [V515e3: $i] :
% 5.55/5.81 ( ( mem @ V515e3 @ A_27a )
% 5.55/5.81 & ? [V516e4: $i] :
% 5.55/5.81 ( ( mem @ V516e4 @ A_27a )
% 5.55/5.81 & ? [V517e5: $i] :
% 5.55/5.81 ( ( mem @ V517e5 @ A_27a )
% 5.55/5.81 & ? [V518e6: $i] :
% 5.55/5.81 ( ( mem @ V518e6 @ A_27a )
% 5.55/5.81 & ? [V519e7: $i] :
% 5.55/5.81 ( ( mem @ V519e7 @ A_27a )
% 5.55/5.81 & ? [V520e8: $i] :
% 5.55/5.81 ( ( mem @ V520e8 @ A_27a )
% 5.55/5.81 & ? [V521e9: $i] :
% 5.55/5.81 ( ( mem @ V521e9 @ A_27a )
% 5.55/5.81 & ? [V522e10: $i] :
% 5.55/5.81 ( ( mem @ V522e10 @ A_27a )
% 5.55/5.81 & ? [V523e11: $i] :
% 5.55/5.81 ( ( mem @ V523e11 @ A_27a )
% 5.55/5.81 & ? [V524e12: $i] :
% 5.55/5.81 ( ( mem @ V524e12 @ A_27a )
% 5.55/5.81 & ? [V525e13: $i] :
% 5.55/5.81 ( ( mem @ V525e13 @ A_27a )
% 5.55/5.81 & ? [V526e14: $i] :
% 5.55/5.81 ( ( mem @ V526e14 @ A_27a )
% 5.55/5.81 & ? [V527e15: $i] :
% 5.55/5.81 ( ( mem @ V527e15 @ A_27a )
% 5.55/5.81 & ? [V528e16: $i] :
% 5.55/5.81 ( ( mem @ V528e16 @ A_27a )
% 5.55/5.81 & ? [V529e17: $i] :
% 5.55/5.81 ( ( mem @ V529e17 @ A_27a )
% 5.55/5.81 & ? [V530e18: $i] :
% 5.55/5.81 ( ( mem @ V530e18 @ A_27a )
% 5.55/5.81 & ? [V531e19: $i] :
% 5.55/5.81 ( ( mem @ V531e19 @ A_27a )
% 5.55/5.81 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V512l_27 ) )
% 5.55/5.81 = V1x )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V513e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V514e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V515e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V516e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V517e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V518e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V519e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V520e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V521e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V522e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V523e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V524e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V525e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V526e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V527e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V528e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V529e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V530e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V531e19 ) @ V512l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.81 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) )
% 5.55/5.81 <=> ? [V532l_27: $i] :
% 5.55/5.81 ( ( mem @ V532l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V533e1: $i] :
% 5.55/5.81 ( ( mem @ V533e1 @ A_27a )
% 5.55/5.81 & ? [V534e2: $i] :
% 5.55/5.81 ( ( mem @ V534e2 @ A_27a )
% 5.55/5.81 & ? [V535e3: $i] :
% 5.55/5.81 ( ( mem @ V535e3 @ A_27a )
% 5.55/5.81 & ? [V536e4: $i] :
% 5.55/5.81 ( ( mem @ V536e4 @ A_27a )
% 5.55/5.81 & ? [V537e5: $i] :
% 5.55/5.81 ( ( mem @ V537e5 @ A_27a )
% 5.55/5.81 & ? [V538e6: $i] :
% 5.55/5.81 ( ( mem @ V538e6 @ A_27a )
% 5.55/5.81 & ? [V539e7: $i] :
% 5.55/5.81 ( ( mem @ V539e7 @ A_27a )
% 5.55/5.81 & ? [V540e8: $i] :
% 5.55/5.81 ( ( mem @ V540e8 @ A_27a )
% 5.55/5.81 & ? [V541e9: $i] :
% 5.55/5.81 ( ( mem @ V541e9 @ A_27a )
% 5.55/5.81 & ? [V542e10: $i] :
% 5.55/5.81 ( ( mem @ V542e10 @ A_27a )
% 5.55/5.81 & ? [V543e11: $i] :
% 5.55/5.81 ( ( mem @ V543e11 @ A_27a )
% 5.55/5.81 & ? [V544e12: $i] :
% 5.55/5.81 ( ( mem @ V544e12 @ A_27a )
% 5.55/5.81 & ? [V545e13: $i] :
% 5.55/5.81 ( ( mem @ V545e13 @ A_27a )
% 5.55/5.81 & ? [V546e14: $i] :
% 5.55/5.81 ( ( mem @ V546e14 @ A_27a )
% 5.55/5.81 & ? [V547e15: $i] :
% 5.55/5.81 ( ( mem @ V547e15 @ A_27a )
% 5.55/5.81 & ? [V548e16: $i] :
% 5.55/5.81 ( ( mem @ V548e16 @ A_27a )
% 5.55/5.81 & ? [V549e17: $i] :
% 5.55/5.81 ( ( mem @ V549e17 @ A_27a )
% 5.55/5.81 & ? [V550e18: $i] :
% 5.55/5.81 ( ( mem @ V550e18 @ A_27a )
% 5.55/5.81 & ? [V551e19: $i] :
% 5.55/5.81 ( ( mem @ V551e19 @ A_27a )
% 5.55/5.81 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V532l_27 ) )
% 5.55/5.81 = V1x )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V533e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V534e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V535e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V536e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V537e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V538e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V539e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V540e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V541e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V542e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V543e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V544e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V545e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V546e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V547e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V548e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V549e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V550e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V551e19 ) @ V532l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.81 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.81 <=> ? [V552l_27: $i] :
% 5.55/5.81 ( ( mem @ V552l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V553e1: $i] :
% 5.55/5.81 ( ( mem @ V553e1 @ A_27a )
% 5.55/5.81 & ? [V554e2: $i] :
% 5.55/5.81 ( ( mem @ V554e2 @ A_27a )
% 5.55/5.81 & ? [V555e3: $i] :
% 5.55/5.81 ( ( mem @ V555e3 @ A_27a )
% 5.55/5.81 & ? [V556e4: $i] :
% 5.55/5.81 ( ( mem @ V556e4 @ A_27a )
% 5.55/5.81 & ? [V557e5: $i] :
% 5.55/5.81 ( ( mem @ V557e5 @ A_27a )
% 5.55/5.81 & ? [V558e6: $i] :
% 5.55/5.81 ( ( mem @ V558e6 @ A_27a )
% 5.55/5.81 & ? [V559e7: $i] :
% 5.55/5.81 ( ( mem @ V559e7 @ A_27a )
% 5.55/5.81 & ? [V560e8: $i] :
% 5.55/5.81 ( ( mem @ V560e8 @ A_27a )
% 5.55/5.81 & ? [V561e9: $i] :
% 5.55/5.81 ( ( mem @ V561e9 @ A_27a )
% 5.55/5.81 & ? [V562e10: $i] :
% 5.55/5.81 ( ( mem @ V562e10 @ A_27a )
% 5.55/5.81 & ? [V563e11: $i] :
% 5.55/5.81 ( ( mem @ V563e11 @ A_27a )
% 5.55/5.81 & ? [V564e12: $i] :
% 5.55/5.81 ( ( mem @ V564e12 @ A_27a )
% 5.55/5.81 & ? [V565e13: $i] :
% 5.55/5.81 ( ( mem @ V565e13 @ A_27a )
% 5.55/5.81 & ? [V566e14: $i] :
% 5.55/5.81 ( ( mem @ V566e14 @ A_27a )
% 5.55/5.81 & ? [V567e15: $i] :
% 5.55/5.81 ( ( mem @ V567e15 @ A_27a )
% 5.55/5.81 & ? [V568e16: $i] :
% 5.55/5.81 ( ( mem @ V568e16 @ A_27a )
% 5.55/5.81 & ? [V569e17: $i] :
% 5.55/5.81 ( ( mem @ V569e17 @ A_27a )
% 5.55/5.81 & ? [V570e18: $i] :
% 5.55/5.81 ( ( mem @ V570e18 @ A_27a )
% 5.55/5.81 & ? [V571e19: $i] :
% 5.55/5.81 ( ( mem @ V571e19 @ A_27a )
% 5.55/5.81 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V552l_27 ) )
% 5.55/5.81 = V1x )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V553e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V554e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V555e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V556e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V557e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V558e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V559e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V560e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V561e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V562e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V563e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V564e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V565e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V566e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V567e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V568e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V569e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V570e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V571e19 ) @ V552l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.81 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.81 <=> ? [V572e1: $i] :
% 5.55/5.81 ( ( mem @ V572e1 @ A_27a )
% 5.55/5.81 & ? [V573e2: $i] :
% 5.55/5.81 ( ( mem @ V573e2 @ A_27a )
% 5.55/5.81 & ? [V574e3: $i] :
% 5.55/5.81 ( ( mem @ V574e3 @ A_27a )
% 5.55/5.81 & ? [V575e4: $i] :
% 5.55/5.81 ( ( mem @ V575e4 @ A_27a )
% 5.55/5.81 & ? [V576e5: $i] :
% 5.55/5.81 ( ( mem @ V576e5 @ A_27a )
% 5.55/5.81 & ? [V577e6: $i] :
% 5.55/5.81 ( ( mem @ V577e6 @ A_27a )
% 5.55/5.81 & ? [V578e7: $i] :
% 5.55/5.81 ( ( mem @ V578e7 @ A_27a )
% 5.55/5.81 & ? [V579e8: $i] :
% 5.55/5.81 ( ( mem @ V579e8 @ A_27a )
% 5.55/5.81 & ? [V580e9: $i] :
% 5.55/5.81 ( ( mem @ V580e9 @ A_27a )
% 5.55/5.81 & ? [V581e10: $i] :
% 5.55/5.81 ( ( mem @ V581e10 @ A_27a )
% 5.55/5.81 & ? [V582e11: $i] :
% 5.55/5.81 ( ( mem @ V582e11 @ A_27a )
% 5.55/5.81 & ? [V583e12: $i] :
% 5.55/5.81 ( ( mem @ V583e12 @ A_27a )
% 5.55/5.81 & ? [V584e13: $i] :
% 5.55/5.81 ( ( mem @ V584e13 @ A_27a )
% 5.55/5.81 & ? [V585e14: $i] :
% 5.55/5.81 ( ( mem @ V585e14 @ A_27a )
% 5.55/5.81 & ? [V586e15: $i] :
% 5.55/5.81 ( ( mem @ V586e15 @ A_27a )
% 5.55/5.81 & ? [V587e16: $i] :
% 5.55/5.81 ( ( mem @ V587e16 @ A_27a )
% 5.55/5.81 & ? [V588e17: $i] :
% 5.55/5.81 ( ( mem @ V588e17 @ A_27a )
% 5.55/5.81 & ? [V589e18: $i] :
% 5.55/5.81 ( ( mem @ V589e18 @ A_27a )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V572e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V573e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V574e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V575e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V576e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V577e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V578e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V579e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V580e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V581e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V582e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V583e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V584e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V585e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V586e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V587e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V588e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V589e18 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.81 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.81 <=> ? [V590e1: $i] :
% 5.55/5.81 ( ( mem @ V590e1 @ A_27a )
% 5.55/5.81 & ? [V591e2: $i] :
% 5.55/5.81 ( ( mem @ V591e2 @ A_27a )
% 5.55/5.81 & ? [V592e3: $i] :
% 5.55/5.81 ( ( mem @ V592e3 @ A_27a )
% 5.55/5.81 & ? [V593e4: $i] :
% 5.55/5.81 ( ( mem @ V593e4 @ A_27a )
% 5.55/5.81 & ? [V594e5: $i] :
% 5.55/5.81 ( ( mem @ V594e5 @ A_27a )
% 5.55/5.81 & ? [V595e6: $i] :
% 5.55/5.81 ( ( mem @ V595e6 @ A_27a )
% 5.55/5.81 & ? [V596e7: $i] :
% 5.55/5.81 ( ( mem @ V596e7 @ A_27a )
% 5.55/5.81 & ? [V597e8: $i] :
% 5.55/5.81 ( ( mem @ V597e8 @ A_27a )
% 5.55/5.81 & ? [V598e9: $i] :
% 5.55/5.81 ( ( mem @ V598e9 @ A_27a )
% 5.55/5.81 & ? [V599e10: $i] :
% 5.55/5.81 ( ( mem @ V599e10 @ A_27a )
% 5.55/5.81 & ? [V600e11: $i] :
% 5.55/5.81 ( ( mem @ V600e11 @ A_27a )
% 5.55/5.81 & ? [V601e12: $i] :
% 5.55/5.81 ( ( mem @ V601e12 @ A_27a )
% 5.55/5.81 & ? [V602e13: $i] :
% 5.55/5.81 ( ( mem @ V602e13 @ A_27a )
% 5.55/5.81 & ? [V603e14: $i] :
% 5.55/5.81 ( ( mem @ V603e14 @ A_27a )
% 5.55/5.81 & ? [V604e15: $i] :
% 5.55/5.81 ( ( mem @ V604e15 @ A_27a )
% 5.55/5.81 & ? [V605e16: $i] :
% 5.55/5.81 ( ( mem @ V605e16 @ A_27a )
% 5.55/5.81 & ? [V606e17: $i] :
% 5.55/5.81 ( ( mem @ V606e17 @ A_27a )
% 5.55/5.81 & ? [V607e18: $i] :
% 5.55/5.81 ( ( mem @ V607e18 @ A_27a )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V590e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V591e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V592e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V593e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V594e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V595e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V596e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V597e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V598e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V599e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V600e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V601e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V602e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V603e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V604e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V605e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V606e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V607e18 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.81 <=> ? [V608l_27: $i] :
% 5.55/5.81 ( ( mem @ V608l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V609e1: $i] :
% 5.55/5.81 ( ( mem @ V609e1 @ A_27a )
% 5.55/5.81 & ? [V610e2: $i] :
% 5.55/5.81 ( ( mem @ V610e2 @ A_27a )
% 5.55/5.81 & ? [V611e3: $i] :
% 5.55/5.81 ( ( mem @ V611e3 @ A_27a )
% 5.55/5.81 & ? [V612e4: $i] :
% 5.55/5.81 ( ( mem @ V612e4 @ A_27a )
% 5.55/5.81 & ? [V613e5: $i] :
% 5.55/5.81 ( ( mem @ V613e5 @ A_27a )
% 5.55/5.81 & ? [V614e6: $i] :
% 5.55/5.81 ( ( mem @ V614e6 @ A_27a )
% 5.55/5.81 & ? [V615e7: $i] :
% 5.55/5.81 ( ( mem @ V615e7 @ A_27a )
% 5.55/5.81 & ? [V616e8: $i] :
% 5.55/5.81 ( ( mem @ V616e8 @ A_27a )
% 5.55/5.81 & ? [V617e9: $i] :
% 5.55/5.81 ( ( mem @ V617e9 @ A_27a )
% 5.55/5.81 & ? [V618e10: $i] :
% 5.55/5.81 ( ( mem @ V618e10 @ A_27a )
% 5.55/5.81 & ? [V619e11: $i] :
% 5.55/5.81 ( ( mem @ V619e11 @ A_27a )
% 5.55/5.81 & ? [V620e12: $i] :
% 5.55/5.81 ( ( mem @ V620e12 @ A_27a )
% 5.55/5.81 & ? [V621e13: $i] :
% 5.55/5.81 ( ( mem @ V621e13 @ A_27a )
% 5.55/5.81 & ? [V622e14: $i] :
% 5.55/5.81 ( ( mem @ V622e14 @ A_27a )
% 5.55/5.81 & ? [V623e15: $i] :
% 5.55/5.81 ( ( mem @ V623e15 @ A_27a )
% 5.55/5.81 & ? [V624e16: $i] :
% 5.55/5.81 ( ( mem @ V624e16 @ A_27a )
% 5.55/5.81 & ? [V625e17: $i] :
% 5.55/5.81 ( ( mem @ V625e17 @ A_27a )
% 5.55/5.81 & ? [V626e18: $i] :
% 5.55/5.81 ( ( mem @ V626e18 @ A_27a )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V609e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V610e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V611e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V612e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V613e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V614e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V615e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V616e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V617e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V618e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V619e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V620e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V621e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V622e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V623e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V624e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V625e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V626e18 ) @ V608l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.81 <=> ? [V627l_27: $i] :
% 5.55/5.81 ( ( mem @ V627l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V628e1: $i] :
% 5.55/5.81 ( ( mem @ V628e1 @ A_27a )
% 5.55/5.81 & ? [V629e2: $i] :
% 5.55/5.81 ( ( mem @ V629e2 @ A_27a )
% 5.55/5.81 & ? [V630e3: $i] :
% 5.55/5.81 ( ( mem @ V630e3 @ A_27a )
% 5.55/5.81 & ? [V631e4: $i] :
% 5.55/5.81 ( ( mem @ V631e4 @ A_27a )
% 5.55/5.81 & ? [V632e5: $i] :
% 5.55/5.81 ( ( mem @ V632e5 @ A_27a )
% 5.55/5.81 & ? [V633e6: $i] :
% 5.55/5.81 ( ( mem @ V633e6 @ A_27a )
% 5.55/5.81 & ? [V634e7: $i] :
% 5.55/5.81 ( ( mem @ V634e7 @ A_27a )
% 5.55/5.81 & ? [V635e8: $i] :
% 5.55/5.81 ( ( mem @ V635e8 @ A_27a )
% 5.55/5.81 & ? [V636e9: $i] :
% 5.55/5.81 ( ( mem @ V636e9 @ A_27a )
% 5.55/5.81 & ? [V637e10: $i] :
% 5.55/5.81 ( ( mem @ V637e10 @ A_27a )
% 5.55/5.81 & ? [V638e11: $i] :
% 5.55/5.81 ( ( mem @ V638e11 @ A_27a )
% 5.55/5.81 & ? [V639e12: $i] :
% 5.55/5.81 ( ( mem @ V639e12 @ A_27a )
% 5.55/5.81 & ? [V640e13: $i] :
% 5.55/5.81 ( ( mem @ V640e13 @ A_27a )
% 5.55/5.81 & ? [V641e14: $i] :
% 5.55/5.81 ( ( mem @ V641e14 @ A_27a )
% 5.55/5.81 & ? [V642e15: $i] :
% 5.55/5.81 ( ( mem @ V642e15 @ A_27a )
% 5.55/5.81 & ? [V643e16: $i] :
% 5.55/5.81 ( ( mem @ V643e16 @ A_27a )
% 5.55/5.81 & ? [V644e17: $i] :
% 5.55/5.81 ( ( mem @ V644e17 @ A_27a )
% 5.55/5.81 & ? [V645e18: $i] :
% 5.55/5.81 ( ( mem @ V645e18 @ A_27a )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V628e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V629e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V630e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V631e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V632e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V633e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V634e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V635e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V636e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V637e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V638e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V639e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V640e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V641e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V642e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V643e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V644e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V645e18 ) @ V627l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.81 <=> ? [V646l_27: $i] :
% 5.55/5.81 ( ( mem @ V646l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V647e1: $i] :
% 5.55/5.81 ( ( mem @ V647e1 @ A_27a )
% 5.55/5.81 & ? [V648e2: $i] :
% 5.55/5.81 ( ( mem @ V648e2 @ A_27a )
% 5.55/5.81 & ? [V649e3: $i] :
% 5.55/5.81 ( ( mem @ V649e3 @ A_27a )
% 5.55/5.81 & ? [V650e4: $i] :
% 5.55/5.81 ( ( mem @ V650e4 @ A_27a )
% 5.55/5.81 & ? [V651e5: $i] :
% 5.55/5.81 ( ( mem @ V651e5 @ A_27a )
% 5.55/5.81 & ? [V652e6: $i] :
% 5.55/5.81 ( ( mem @ V652e6 @ A_27a )
% 5.55/5.81 & ? [V653e7: $i] :
% 5.55/5.81 ( ( mem @ V653e7 @ A_27a )
% 5.55/5.81 & ? [V654e8: $i] :
% 5.55/5.81 ( ( mem @ V654e8 @ A_27a )
% 5.55/5.81 & ? [V655e9: $i] :
% 5.55/5.81 ( ( mem @ V655e9 @ A_27a )
% 5.55/5.81 & ? [V656e10: $i] :
% 5.55/5.81 ( ( mem @ V656e10 @ A_27a )
% 5.55/5.81 & ? [V657e11: $i] :
% 5.55/5.81 ( ( mem @ V657e11 @ A_27a )
% 5.55/5.81 & ? [V658e12: $i] :
% 5.55/5.81 ( ( mem @ V658e12 @ A_27a )
% 5.55/5.81 & ? [V659e13: $i] :
% 5.55/5.81 ( ( mem @ V659e13 @ A_27a )
% 5.55/5.81 & ? [V660e14: $i] :
% 5.55/5.81 ( ( mem @ V660e14 @ A_27a )
% 5.55/5.81 & ? [V661e15: $i] :
% 5.55/5.81 ( ( mem @ V661e15 @ A_27a )
% 5.55/5.81 & ? [V662e16: $i] :
% 5.55/5.81 ( ( mem @ V662e16 @ A_27a )
% 5.55/5.81 & ? [V663e17: $i] :
% 5.55/5.81 ( ( mem @ V663e17 @ A_27a )
% 5.55/5.81 & ? [V664e18: $i] :
% 5.55/5.81 ( ( mem @ V664e18 @ A_27a )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V647e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V648e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V649e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V650e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V651e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V652e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V653e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V654e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V655e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V656e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V657e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V658e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V659e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V660e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V661e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V662e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V663e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V664e18 ) @ V646l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.81 <=> ? [V665l_27: $i] :
% 5.55/5.81 ( ( mem @ V665l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V666e1: $i] :
% 5.55/5.81 ( ( mem @ V666e1 @ A_27a )
% 5.55/5.81 & ? [V667e2: $i] :
% 5.55/5.81 ( ( mem @ V667e2 @ A_27a )
% 5.55/5.81 & ? [V668e3: $i] :
% 5.55/5.81 ( ( mem @ V668e3 @ A_27a )
% 5.55/5.81 & ? [V669e4: $i] :
% 5.55/5.81 ( ( mem @ V669e4 @ A_27a )
% 5.55/5.81 & ? [V670e5: $i] :
% 5.55/5.81 ( ( mem @ V670e5 @ A_27a )
% 5.55/5.81 & ? [V671e6: $i] :
% 5.55/5.81 ( ( mem @ V671e6 @ A_27a )
% 5.55/5.81 & ? [V672e7: $i] :
% 5.55/5.81 ( ( mem @ V672e7 @ A_27a )
% 5.55/5.81 & ? [V673e8: $i] :
% 5.55/5.81 ( ( mem @ V673e8 @ A_27a )
% 5.55/5.81 & ? [V674e9: $i] :
% 5.55/5.81 ( ( mem @ V674e9 @ A_27a )
% 5.55/5.81 & ? [V675e10: $i] :
% 5.55/5.81 ( ( mem @ V675e10 @ A_27a )
% 5.55/5.81 & ? [V676e11: $i] :
% 5.55/5.81 ( ( mem @ V676e11 @ A_27a )
% 5.55/5.81 & ? [V677e12: $i] :
% 5.55/5.81 ( ( mem @ V677e12 @ A_27a )
% 5.55/5.81 & ? [V678e13: $i] :
% 5.55/5.81 ( ( mem @ V678e13 @ A_27a )
% 5.55/5.81 & ? [V679e14: $i] :
% 5.55/5.81 ( ( mem @ V679e14 @ A_27a )
% 5.55/5.81 & ? [V680e15: $i] :
% 5.55/5.81 ( ( mem @ V680e15 @ A_27a )
% 5.55/5.81 & ? [V681e16: $i] :
% 5.55/5.81 ( ( mem @ V681e16 @ A_27a )
% 5.55/5.81 & ? [V682e17: $i] :
% 5.55/5.81 ( ( mem @ V682e17 @ A_27a )
% 5.55/5.81 & ? [V683e18: $i] :
% 5.55/5.81 ( ( mem @ V683e18 @ A_27a )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V666e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V667e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V668e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V669e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V670e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V671e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V672e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V673e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V674e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V675e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V676e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V677e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V678e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V679e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V680e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V681e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V682e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V683e18 ) @ V665l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.81 <=> ? [V684l_27: $i] :
% 5.55/5.81 ( ( mem @ V684l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V685e1: $i] :
% 5.55/5.81 ( ( mem @ V685e1 @ A_27a )
% 5.55/5.81 & ? [V686e2: $i] :
% 5.55/5.81 ( ( mem @ V686e2 @ A_27a )
% 5.55/5.81 & ? [V687e3: $i] :
% 5.55/5.81 ( ( mem @ V687e3 @ A_27a )
% 5.55/5.81 & ? [V688e4: $i] :
% 5.55/5.81 ( ( mem @ V688e4 @ A_27a )
% 5.55/5.81 & ? [V689e5: $i] :
% 5.55/5.81 ( ( mem @ V689e5 @ A_27a )
% 5.55/5.81 & ? [V690e6: $i] :
% 5.55/5.81 ( ( mem @ V690e6 @ A_27a )
% 5.55/5.81 & ? [V691e7: $i] :
% 5.55/5.81 ( ( mem @ V691e7 @ A_27a )
% 5.55/5.81 & ? [V692e8: $i] :
% 5.55/5.81 ( ( mem @ V692e8 @ A_27a )
% 5.55/5.81 & ? [V693e9: $i] :
% 5.55/5.81 ( ( mem @ V693e9 @ A_27a )
% 5.55/5.81 & ? [V694e10: $i] :
% 5.55/5.81 ( ( mem @ V694e10 @ A_27a )
% 5.55/5.81 & ? [V695e11: $i] :
% 5.55/5.81 ( ( mem @ V695e11 @ A_27a )
% 5.55/5.81 & ? [V696e12: $i] :
% 5.55/5.81 ( ( mem @ V696e12 @ A_27a )
% 5.55/5.81 & ? [V697e13: $i] :
% 5.55/5.81 ( ( mem @ V697e13 @ A_27a )
% 5.55/5.81 & ? [V698e14: $i] :
% 5.55/5.81 ( ( mem @ V698e14 @ A_27a )
% 5.55/5.81 & ? [V699e15: $i] :
% 5.55/5.81 ( ( mem @ V699e15 @ A_27a )
% 5.55/5.81 & ? [V700e16: $i] :
% 5.55/5.81 ( ( mem @ V700e16 @ A_27a )
% 5.55/5.81 & ? [V701e17: $i] :
% 5.55/5.81 ( ( mem @ V701e17 @ A_27a )
% 5.55/5.81 & ? [V702e18: $i] :
% 5.55/5.81 ( ( mem @ V702e18 @ A_27a )
% 5.55/5.81 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V684l_27 ) ) )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V685e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V686e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V687e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V688e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V689e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V690e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V691e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V692e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V693e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V694e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V695e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V696e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V697e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V698e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V699e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V700e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V701e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V702e18 ) @ V684l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.81 <=> ? [V703l_27: $i] :
% 5.55/5.81 ( ( mem @ V703l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V704e1: $i] :
% 5.55/5.81 ( ( mem @ V704e1 @ A_27a )
% 5.55/5.81 & ? [V705e2: $i] :
% 5.55/5.81 ( ( mem @ V705e2 @ A_27a )
% 5.55/5.81 & ? [V706e3: $i] :
% 5.55/5.81 ( ( mem @ V706e3 @ A_27a )
% 5.55/5.81 & ? [V707e4: $i] :
% 5.55/5.81 ( ( mem @ V707e4 @ A_27a )
% 5.55/5.81 & ? [V708e5: $i] :
% 5.55/5.81 ( ( mem @ V708e5 @ A_27a )
% 5.55/5.81 & ? [V709e6: $i] :
% 5.55/5.81 ( ( mem @ V709e6 @ A_27a )
% 5.55/5.81 & ? [V710e7: $i] :
% 5.55/5.81 ( ( mem @ V710e7 @ A_27a )
% 5.55/5.81 & ? [V711e8: $i] :
% 5.55/5.81 ( ( mem @ V711e8 @ A_27a )
% 5.55/5.81 & ? [V712e9: $i] :
% 5.55/5.81 ( ( mem @ V712e9 @ A_27a )
% 5.55/5.81 & ? [V713e10: $i] :
% 5.55/5.81 ( ( mem @ V713e10 @ A_27a )
% 5.55/5.81 & ? [V714e11: $i] :
% 5.55/5.81 ( ( mem @ V714e11 @ A_27a )
% 5.55/5.81 & ? [V715e12: $i] :
% 5.55/5.81 ( ( mem @ V715e12 @ A_27a )
% 5.55/5.81 & ? [V716e13: $i] :
% 5.55/5.81 ( ( mem @ V716e13 @ A_27a )
% 5.55/5.81 & ? [V717e14: $i] :
% 5.55/5.81 ( ( mem @ V717e14 @ A_27a )
% 5.55/5.81 & ? [V718e15: $i] :
% 5.55/5.81 ( ( mem @ V718e15 @ A_27a )
% 5.55/5.81 & ? [V719e16: $i] :
% 5.55/5.81 ( ( mem @ V719e16 @ A_27a )
% 5.55/5.81 & ? [V720e17: $i] :
% 5.55/5.81 ( ( mem @ V720e17 @ A_27a )
% 5.55/5.81 & ? [V721e18: $i] :
% 5.55/5.81 ( ( mem @ V721e18 @ A_27a )
% 5.55/5.81 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V703l_27 ) ) )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V704e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V705e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V706e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V707e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V708e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V709e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V710e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V711e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V712e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V713e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V714e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V715e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V716e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V717e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V718e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V719e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V720e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V721e18 ) @ V703l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.81 <=> ? [V722l_27: $i] :
% 5.55/5.81 ( ( mem @ V722l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V723e1: $i] :
% 5.55/5.81 ( ( mem @ V723e1 @ A_27a )
% 5.55/5.81 & ? [V724e2: $i] :
% 5.55/5.81 ( ( mem @ V724e2 @ A_27a )
% 5.55/5.81 & ? [V725e3: $i] :
% 5.55/5.81 ( ( mem @ V725e3 @ A_27a )
% 5.55/5.81 & ? [V726e4: $i] :
% 5.55/5.81 ( ( mem @ V726e4 @ A_27a )
% 5.55/5.81 & ? [V727e5: $i] :
% 5.55/5.81 ( ( mem @ V727e5 @ A_27a )
% 5.55/5.81 & ? [V728e6: $i] :
% 5.55/5.81 ( ( mem @ V728e6 @ A_27a )
% 5.55/5.81 & ? [V729e7: $i] :
% 5.55/5.81 ( ( mem @ V729e7 @ A_27a )
% 5.55/5.81 & ? [V730e8: $i] :
% 5.55/5.81 ( ( mem @ V730e8 @ A_27a )
% 5.55/5.81 & ? [V731e9: $i] :
% 5.55/5.81 ( ( mem @ V731e9 @ A_27a )
% 5.55/5.81 & ? [V732e10: $i] :
% 5.55/5.81 ( ( mem @ V732e10 @ A_27a )
% 5.55/5.81 & ? [V733e11: $i] :
% 5.55/5.81 ( ( mem @ V733e11 @ A_27a )
% 5.55/5.81 & ? [V734e12: $i] :
% 5.55/5.81 ( ( mem @ V734e12 @ A_27a )
% 5.55/5.81 & ? [V735e13: $i] :
% 5.55/5.81 ( ( mem @ V735e13 @ A_27a )
% 5.55/5.81 & ? [V736e14: $i] :
% 5.55/5.81 ( ( mem @ V736e14 @ A_27a )
% 5.55/5.81 & ? [V737e15: $i] :
% 5.55/5.81 ( ( mem @ V737e15 @ A_27a )
% 5.55/5.81 & ? [V738e16: $i] :
% 5.55/5.81 ( ( mem @ V738e16 @ A_27a )
% 5.55/5.81 & ? [V739e17: $i] :
% 5.55/5.81 ( ( mem @ V739e17 @ A_27a )
% 5.55/5.81 & ? [V740e18: $i] :
% 5.55/5.81 ( ( mem @ V740e18 @ A_27a )
% 5.55/5.81 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V722l_27 ) ) )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V723e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V724e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V725e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V726e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V727e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V728e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V729e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V730e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V731e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V732e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V733e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V734e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V735e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V736e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V737e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V738e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V739e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V740e18 ) @ V722l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) )
% 5.55/5.81 <=> ? [V741l_27: $i] :
% 5.55/5.81 ( ( mem @ V741l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V742e1: $i] :
% 5.55/5.81 ( ( mem @ V742e1 @ A_27a )
% 5.55/5.81 & ? [V743e2: $i] :
% 5.55/5.81 ( ( mem @ V743e2 @ A_27a )
% 5.55/5.81 & ? [V744e3: $i] :
% 5.55/5.81 ( ( mem @ V744e3 @ A_27a )
% 5.55/5.81 & ? [V745e4: $i] :
% 5.55/5.81 ( ( mem @ V745e4 @ A_27a )
% 5.55/5.81 & ? [V746e5: $i] :
% 5.55/5.81 ( ( mem @ V746e5 @ A_27a )
% 5.55/5.81 & ? [V747e6: $i] :
% 5.55/5.81 ( ( mem @ V747e6 @ A_27a )
% 5.55/5.81 & ? [V748e7: $i] :
% 5.55/5.81 ( ( mem @ V748e7 @ A_27a )
% 5.55/5.81 & ? [V749e8: $i] :
% 5.55/5.81 ( ( mem @ V749e8 @ A_27a )
% 5.55/5.81 & ? [V750e9: $i] :
% 5.55/5.81 ( ( mem @ V750e9 @ A_27a )
% 5.55/5.81 & ? [V751e10: $i] :
% 5.55/5.81 ( ( mem @ V751e10 @ A_27a )
% 5.55/5.81 & ? [V752e11: $i] :
% 5.55/5.81 ( ( mem @ V752e11 @ A_27a )
% 5.55/5.81 & ? [V753e12: $i] :
% 5.55/5.81 ( ( mem @ V753e12 @ A_27a )
% 5.55/5.81 & ? [V754e13: $i] :
% 5.55/5.81 ( ( mem @ V754e13 @ A_27a )
% 5.55/5.81 & ? [V755e14: $i] :
% 5.55/5.81 ( ( mem @ V755e14 @ A_27a )
% 5.55/5.81 & ? [V756e15: $i] :
% 5.55/5.81 ( ( mem @ V756e15 @ A_27a )
% 5.55/5.81 & ? [V757e16: $i] :
% 5.55/5.81 ( ( mem @ V757e16 @ A_27a )
% 5.55/5.81 & ? [V758e17: $i] :
% 5.55/5.81 ( ( mem @ V758e17 @ A_27a )
% 5.55/5.81 & ? [V759e18: $i] :
% 5.55/5.81 ( ( mem @ V759e18 @ A_27a )
% 5.55/5.81 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V741l_27 ) ) )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V742e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V743e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V744e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V745e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V746e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V747e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V748e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V749e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V750e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V751e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V752e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V753e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V754e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V755e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V756e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V757e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V758e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V759e18 ) @ V741l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.81 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.81 <=> ? [V760l_27: $i] :
% 5.55/5.81 ( ( mem @ V760l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V761e1: $i] :
% 5.55/5.81 ( ( mem @ V761e1 @ A_27a )
% 5.55/5.81 & ? [V762e2: $i] :
% 5.55/5.81 ( ( mem @ V762e2 @ A_27a )
% 5.55/5.81 & ? [V763e3: $i] :
% 5.55/5.81 ( ( mem @ V763e3 @ A_27a )
% 5.55/5.81 & ? [V764e4: $i] :
% 5.55/5.81 ( ( mem @ V764e4 @ A_27a )
% 5.55/5.81 & ? [V765e5: $i] :
% 5.55/5.81 ( ( mem @ V765e5 @ A_27a )
% 5.55/5.81 & ? [V766e6: $i] :
% 5.55/5.81 ( ( mem @ V766e6 @ A_27a )
% 5.55/5.81 & ? [V767e7: $i] :
% 5.55/5.81 ( ( mem @ V767e7 @ A_27a )
% 5.55/5.81 & ? [V768e8: $i] :
% 5.55/5.81 ( ( mem @ V768e8 @ A_27a )
% 5.55/5.81 & ? [V769e9: $i] :
% 5.55/5.81 ( ( mem @ V769e9 @ A_27a )
% 5.55/5.81 & ? [V770e10: $i] :
% 5.55/5.81 ( ( mem @ V770e10 @ A_27a )
% 5.55/5.81 & ? [V771e11: $i] :
% 5.55/5.81 ( ( mem @ V771e11 @ A_27a )
% 5.55/5.81 & ? [V772e12: $i] :
% 5.55/5.81 ( ( mem @ V772e12 @ A_27a )
% 5.55/5.81 & ? [V773e13: $i] :
% 5.55/5.81 ( ( mem @ V773e13 @ A_27a )
% 5.55/5.81 & ? [V774e14: $i] :
% 5.55/5.81 ( ( mem @ V774e14 @ A_27a )
% 5.55/5.81 & ? [V775e15: $i] :
% 5.55/5.81 ( ( mem @ V775e15 @ A_27a )
% 5.55/5.81 & ? [V776e16: $i] :
% 5.55/5.81 ( ( mem @ V776e16 @ A_27a )
% 5.55/5.81 & ? [V777e17: $i] :
% 5.55/5.81 ( ( mem @ V777e17 @ A_27a )
% 5.55/5.81 & ? [V778e18: $i] :
% 5.55/5.81 ( ( mem @ V778e18 @ A_27a )
% 5.55/5.81 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V760l_27 ) )
% 5.55/5.81 = V1x )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V761e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V762e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V763e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V764e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V765e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V766e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V767e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V768e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V769e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V770e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V771e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V772e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V773e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V774e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V775e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V776e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V777e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V778e18 ) @ V760l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.55/5.81 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.81 <=> ? [V779l_27: $i] :
% 5.55/5.81 ( ( mem @ V779l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V780e1: $i] :
% 5.55/5.81 ( ( mem @ V780e1 @ A_27a )
% 5.55/5.81 & ? [V781e2: $i] :
% 5.55/5.81 ( ( mem @ V781e2 @ A_27a )
% 5.55/5.81 & ? [V782e3: $i] :
% 5.55/5.81 ( ( mem @ V782e3 @ A_27a )
% 5.55/5.81 & ? [V783e4: $i] :
% 5.55/5.81 ( ( mem @ V783e4 @ A_27a )
% 5.55/5.81 & ? [V784e5: $i] :
% 5.55/5.81 ( ( mem @ V784e5 @ A_27a )
% 5.55/5.81 & ? [V785e6: $i] :
% 5.55/5.81 ( ( mem @ V785e6 @ A_27a )
% 5.55/5.81 & ? [V786e7: $i] :
% 5.55/5.81 ( ( mem @ V786e7 @ A_27a )
% 5.55/5.81 & ? [V787e8: $i] :
% 5.55/5.81 ( ( mem @ V787e8 @ A_27a )
% 5.55/5.81 & ? [V788e9: $i] :
% 5.55/5.81 ( ( mem @ V788e9 @ A_27a )
% 5.55/5.81 & ? [V789e10: $i] :
% 5.55/5.81 ( ( mem @ V789e10 @ A_27a )
% 5.55/5.81 & ? [V790e11: $i] :
% 5.55/5.81 ( ( mem @ V790e11 @ A_27a )
% 5.55/5.81 & ? [V791e12: $i] :
% 5.55/5.81 ( ( mem @ V791e12 @ A_27a )
% 5.55/5.81 & ? [V792e13: $i] :
% 5.55/5.81 ( ( mem @ V792e13 @ A_27a )
% 5.55/5.81 & ? [V793e14: $i] :
% 5.55/5.81 ( ( mem @ V793e14 @ A_27a )
% 5.55/5.81 & ? [V794e15: $i] :
% 5.55/5.81 ( ( mem @ V794e15 @ A_27a )
% 5.55/5.81 & ? [V795e16: $i] :
% 5.55/5.81 ( ( mem @ V795e16 @ A_27a )
% 5.55/5.81 & ? [V796e17: $i] :
% 5.55/5.81 ( ( mem @ V796e17 @ A_27a )
% 5.55/5.81 & ? [V797e18: $i] :
% 5.55/5.81 ( ( mem @ V797e18 @ A_27a )
% 5.55/5.81 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V779l_27 ) )
% 5.55/5.81 = V1x )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V780e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V781e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V782e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V783e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V784e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V785e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V786e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V787e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V788e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V789e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V790e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V791e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V792e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V793e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V794e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V795e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V796e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V797e18 ) @ V779l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.81 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) )
% 5.55/5.81 <=> ? [V798l_27: $i] :
% 5.55/5.81 ( ( mem @ V798l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V799e1: $i] :
% 5.55/5.81 ( ( mem @ V799e1 @ A_27a )
% 5.55/5.81 & ? [V800e2: $i] :
% 5.55/5.81 ( ( mem @ V800e2 @ A_27a )
% 5.55/5.81 & ? [V801e3: $i] :
% 5.55/5.81 ( ( mem @ V801e3 @ A_27a )
% 5.55/5.81 & ? [V802e4: $i] :
% 5.55/5.81 ( ( mem @ V802e4 @ A_27a )
% 5.55/5.81 & ? [V803e5: $i] :
% 5.55/5.81 ( ( mem @ V803e5 @ A_27a )
% 5.55/5.81 & ? [V804e6: $i] :
% 5.55/5.81 ( ( mem @ V804e6 @ A_27a )
% 5.55/5.81 & ? [V805e7: $i] :
% 5.55/5.81 ( ( mem @ V805e7 @ A_27a )
% 5.55/5.81 & ? [V806e8: $i] :
% 5.55/5.81 ( ( mem @ V806e8 @ A_27a )
% 5.55/5.81 & ? [V807e9: $i] :
% 5.55/5.81 ( ( mem @ V807e9 @ A_27a )
% 5.55/5.81 & ? [V808e10: $i] :
% 5.55/5.81 ( ( mem @ V808e10 @ A_27a )
% 5.55/5.81 & ? [V809e11: $i] :
% 5.55/5.81 ( ( mem @ V809e11 @ A_27a )
% 5.55/5.81 & ? [V810e12: $i] :
% 5.55/5.81 ( ( mem @ V810e12 @ A_27a )
% 5.55/5.81 & ? [V811e13: $i] :
% 5.55/5.81 ( ( mem @ V811e13 @ A_27a )
% 5.55/5.81 & ? [V812e14: $i] :
% 5.55/5.81 ( ( mem @ V812e14 @ A_27a )
% 5.55/5.81 & ? [V813e15: $i] :
% 5.55/5.81 ( ( mem @ V813e15 @ A_27a )
% 5.55/5.81 & ? [V814e16: $i] :
% 5.55/5.81 ( ( mem @ V814e16 @ A_27a )
% 5.55/5.81 & ? [V815e17: $i] :
% 5.55/5.81 ( ( mem @ V815e17 @ A_27a )
% 5.55/5.81 & ? [V816e18: $i] :
% 5.55/5.81 ( ( mem @ V816e18 @ A_27a )
% 5.55/5.81 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V798l_27 ) )
% 5.55/5.81 = V1x )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V799e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V800e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V801e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V802e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V803e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V804e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V805e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V806e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V807e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V808e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V809e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V810e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V811e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V812e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V813e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V814e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V815e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V816e18 ) @ V798l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.81 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.81 <=> ? [V817l_27: $i] :
% 5.55/5.81 ( ( mem @ V817l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V818e1: $i] :
% 5.55/5.81 ( ( mem @ V818e1 @ A_27a )
% 5.55/5.81 & ? [V819e2: $i] :
% 5.55/5.81 ( ( mem @ V819e2 @ A_27a )
% 5.55/5.81 & ? [V820e3: $i] :
% 5.55/5.81 ( ( mem @ V820e3 @ A_27a )
% 5.55/5.81 & ? [V821e4: $i] :
% 5.55/5.81 ( ( mem @ V821e4 @ A_27a )
% 5.55/5.81 & ? [V822e5: $i] :
% 5.55/5.81 ( ( mem @ V822e5 @ A_27a )
% 5.55/5.81 & ? [V823e6: $i] :
% 5.55/5.81 ( ( mem @ V823e6 @ A_27a )
% 5.55/5.81 & ? [V824e7: $i] :
% 5.55/5.81 ( ( mem @ V824e7 @ A_27a )
% 5.55/5.81 & ? [V825e8: $i] :
% 5.55/5.81 ( ( mem @ V825e8 @ A_27a )
% 5.55/5.81 & ? [V826e9: $i] :
% 5.55/5.81 ( ( mem @ V826e9 @ A_27a )
% 5.55/5.81 & ? [V827e10: $i] :
% 5.55/5.81 ( ( mem @ V827e10 @ A_27a )
% 5.55/5.81 & ? [V828e11: $i] :
% 5.55/5.81 ( ( mem @ V828e11 @ A_27a )
% 5.55/5.81 & ? [V829e12: $i] :
% 5.55/5.81 ( ( mem @ V829e12 @ A_27a )
% 5.55/5.81 & ? [V830e13: $i] :
% 5.55/5.81 ( ( mem @ V830e13 @ A_27a )
% 5.55/5.81 & ? [V831e14: $i] :
% 5.55/5.81 ( ( mem @ V831e14 @ A_27a )
% 5.55/5.81 & ? [V832e15: $i] :
% 5.55/5.81 ( ( mem @ V832e15 @ A_27a )
% 5.55/5.81 & ? [V833e16: $i] :
% 5.55/5.81 ( ( mem @ V833e16 @ A_27a )
% 5.55/5.81 & ? [V834e17: $i] :
% 5.55/5.81 ( ( mem @ V834e17 @ A_27a )
% 5.55/5.81 & ? [V835e18: $i] :
% 5.55/5.81 ( ( mem @ V835e18 @ A_27a )
% 5.55/5.81 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V817l_27 ) )
% 5.55/5.81 = V1x )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V818e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V819e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V820e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V821e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V822e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V823e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V824e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V825e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V826e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V827e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V828e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V829e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V830e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V831e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V832e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V833e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V834e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V835e18 ) @ V817l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.81 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.81 <=> ? [V836e1: $i] :
% 5.55/5.81 ( ( mem @ V836e1 @ A_27a )
% 5.55/5.81 & ? [V837e2: $i] :
% 5.55/5.81 ( ( mem @ V837e2 @ A_27a )
% 5.55/5.81 & ? [V838e3: $i] :
% 5.55/5.81 ( ( mem @ V838e3 @ A_27a )
% 5.55/5.81 & ? [V839e4: $i] :
% 5.55/5.81 ( ( mem @ V839e4 @ A_27a )
% 5.55/5.81 & ? [V840e5: $i] :
% 5.55/5.81 ( ( mem @ V840e5 @ A_27a )
% 5.55/5.81 & ? [V841e6: $i] :
% 5.55/5.81 ( ( mem @ V841e6 @ A_27a )
% 5.55/5.81 & ? [V842e7: $i] :
% 5.55/5.81 ( ( mem @ V842e7 @ A_27a )
% 5.55/5.81 & ? [V843e8: $i] :
% 5.55/5.81 ( ( mem @ V843e8 @ A_27a )
% 5.55/5.81 & ? [V844e9: $i] :
% 5.55/5.81 ( ( mem @ V844e9 @ A_27a )
% 5.55/5.81 & ? [V845e10: $i] :
% 5.55/5.81 ( ( mem @ V845e10 @ A_27a )
% 5.55/5.81 & ? [V846e11: $i] :
% 5.55/5.81 ( ( mem @ V846e11 @ A_27a )
% 5.55/5.81 & ? [V847e12: $i] :
% 5.55/5.81 ( ( mem @ V847e12 @ A_27a )
% 5.55/5.81 & ? [V848e13: $i] :
% 5.55/5.81 ( ( mem @ V848e13 @ A_27a )
% 5.55/5.81 & ? [V849e14: $i] :
% 5.55/5.81 ( ( mem @ V849e14 @ A_27a )
% 5.55/5.81 & ? [V850e15: $i] :
% 5.55/5.81 ( ( mem @ V850e15 @ A_27a )
% 5.55/5.81 & ? [V851e16: $i] :
% 5.55/5.81 ( ( mem @ V851e16 @ A_27a )
% 5.55/5.81 & ? [V852e17: $i] :
% 5.55/5.81 ( ( mem @ V852e17 @ A_27a )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V836e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V837e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V838e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V839e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V840e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V841e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V842e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V843e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V844e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V845e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V846e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V847e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V848e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V849e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V850e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V851e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V852e17 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.81 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.81 <=> ? [V853e1: $i] :
% 5.55/5.81 ( ( mem @ V853e1 @ A_27a )
% 5.55/5.81 & ? [V854e2: $i] :
% 5.55/5.81 ( ( mem @ V854e2 @ A_27a )
% 5.55/5.81 & ? [V855e3: $i] :
% 5.55/5.81 ( ( mem @ V855e3 @ A_27a )
% 5.55/5.81 & ? [V856e4: $i] :
% 5.55/5.81 ( ( mem @ V856e4 @ A_27a )
% 5.55/5.81 & ? [V857e5: $i] :
% 5.55/5.81 ( ( mem @ V857e5 @ A_27a )
% 5.55/5.81 & ? [V858e6: $i] :
% 5.55/5.81 ( ( mem @ V858e6 @ A_27a )
% 5.55/5.81 & ? [V859e7: $i] :
% 5.55/5.81 ( ( mem @ V859e7 @ A_27a )
% 5.55/5.81 & ? [V860e8: $i] :
% 5.55/5.81 ( ( mem @ V860e8 @ A_27a )
% 5.55/5.81 & ? [V861e9: $i] :
% 5.55/5.81 ( ( mem @ V861e9 @ A_27a )
% 5.55/5.81 & ? [V862e10: $i] :
% 5.55/5.81 ( ( mem @ V862e10 @ A_27a )
% 5.55/5.81 & ? [V863e11: $i] :
% 5.55/5.81 ( ( mem @ V863e11 @ A_27a )
% 5.55/5.81 & ? [V864e12: $i] :
% 5.55/5.81 ( ( mem @ V864e12 @ A_27a )
% 5.55/5.81 & ? [V865e13: $i] :
% 5.55/5.81 ( ( mem @ V865e13 @ A_27a )
% 5.55/5.81 & ? [V866e14: $i] :
% 5.55/5.81 ( ( mem @ V866e14 @ A_27a )
% 5.55/5.81 & ? [V867e15: $i] :
% 5.55/5.81 ( ( mem @ V867e15 @ A_27a )
% 5.55/5.81 & ? [V868e16: $i] :
% 5.55/5.81 ( ( mem @ V868e16 @ A_27a )
% 5.55/5.81 & ? [V869e17: $i] :
% 5.55/5.81 ( ( mem @ V869e17 @ A_27a )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V853e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V854e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V855e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V856e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V857e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V858e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V859e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V860e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V861e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V862e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V863e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V864e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V865e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V866e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V867e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V868e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V869e17 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.81 <=> ? [V870l_27: $i] :
% 5.55/5.81 ( ( mem @ V870l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V871e1: $i] :
% 5.55/5.81 ( ( mem @ V871e1 @ A_27a )
% 5.55/5.81 & ? [V872e2: $i] :
% 5.55/5.81 ( ( mem @ V872e2 @ A_27a )
% 5.55/5.81 & ? [V873e3: $i] :
% 5.55/5.81 ( ( mem @ V873e3 @ A_27a )
% 5.55/5.81 & ? [V874e4: $i] :
% 5.55/5.81 ( ( mem @ V874e4 @ A_27a )
% 5.55/5.81 & ? [V875e5: $i] :
% 5.55/5.81 ( ( mem @ V875e5 @ A_27a )
% 5.55/5.81 & ? [V876e6: $i] :
% 5.55/5.81 ( ( mem @ V876e6 @ A_27a )
% 5.55/5.81 & ? [V877e7: $i] :
% 5.55/5.81 ( ( mem @ V877e7 @ A_27a )
% 5.55/5.81 & ? [V878e8: $i] :
% 5.55/5.81 ( ( mem @ V878e8 @ A_27a )
% 5.55/5.81 & ? [V879e9: $i] :
% 5.55/5.81 ( ( mem @ V879e9 @ A_27a )
% 5.55/5.81 & ? [V880e10: $i] :
% 5.55/5.81 ( ( mem @ V880e10 @ A_27a )
% 5.55/5.81 & ? [V881e11: $i] :
% 5.55/5.81 ( ( mem @ V881e11 @ A_27a )
% 5.55/5.81 & ? [V882e12: $i] :
% 5.55/5.81 ( ( mem @ V882e12 @ A_27a )
% 5.55/5.81 & ? [V883e13: $i] :
% 5.55/5.81 ( ( mem @ V883e13 @ A_27a )
% 5.55/5.81 & ? [V884e14: $i] :
% 5.55/5.81 ( ( mem @ V884e14 @ A_27a )
% 5.55/5.81 & ? [V885e15: $i] :
% 5.55/5.81 ( ( mem @ V885e15 @ A_27a )
% 5.55/5.81 & ? [V886e16: $i] :
% 5.55/5.81 ( ( mem @ V886e16 @ A_27a )
% 5.55/5.81 & ? [V887e17: $i] :
% 5.55/5.81 ( ( mem @ V887e17 @ A_27a )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V871e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V872e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V873e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V874e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V875e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V876e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V877e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V878e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V879e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V880e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V881e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V882e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V883e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V884e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V885e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V886e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V887e17 ) @ V870l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.81 <=> ? [V888l_27: $i] :
% 5.55/5.81 ( ( mem @ V888l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V889e1: $i] :
% 5.55/5.81 ( ( mem @ V889e1 @ A_27a )
% 5.55/5.81 & ? [V890e2: $i] :
% 5.55/5.81 ( ( mem @ V890e2 @ A_27a )
% 5.55/5.81 & ? [V891e3: $i] :
% 5.55/5.81 ( ( mem @ V891e3 @ A_27a )
% 5.55/5.81 & ? [V892e4: $i] :
% 5.55/5.81 ( ( mem @ V892e4 @ A_27a )
% 5.55/5.81 & ? [V893e5: $i] :
% 5.55/5.81 ( ( mem @ V893e5 @ A_27a )
% 5.55/5.81 & ? [V894e6: $i] :
% 5.55/5.81 ( ( mem @ V894e6 @ A_27a )
% 5.55/5.81 & ? [V895e7: $i] :
% 5.55/5.81 ( ( mem @ V895e7 @ A_27a )
% 5.55/5.81 & ? [V896e8: $i] :
% 5.55/5.81 ( ( mem @ V896e8 @ A_27a )
% 5.55/5.81 & ? [V897e9: $i] :
% 5.55/5.81 ( ( mem @ V897e9 @ A_27a )
% 5.55/5.81 & ? [V898e10: $i] :
% 5.55/5.81 ( ( mem @ V898e10 @ A_27a )
% 5.55/5.81 & ? [V899e11: $i] :
% 5.55/5.81 ( ( mem @ V899e11 @ A_27a )
% 5.55/5.81 & ? [V900e12: $i] :
% 5.55/5.81 ( ( mem @ V900e12 @ A_27a )
% 5.55/5.81 & ? [V901e13: $i] :
% 5.55/5.81 ( ( mem @ V901e13 @ A_27a )
% 5.55/5.81 & ? [V902e14: $i] :
% 5.55/5.81 ( ( mem @ V902e14 @ A_27a )
% 5.55/5.81 & ? [V903e15: $i] :
% 5.55/5.81 ( ( mem @ V903e15 @ A_27a )
% 5.55/5.81 & ? [V904e16: $i] :
% 5.55/5.81 ( ( mem @ V904e16 @ A_27a )
% 5.55/5.81 & ? [V905e17: $i] :
% 5.55/5.81 ( ( mem @ V905e17 @ A_27a )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V889e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V890e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V891e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V892e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V893e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V894e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V895e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V896e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V897e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V898e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V899e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V900e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V901e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V902e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V903e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V904e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V905e17 ) @ V888l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.81 <=> ? [V906l_27: $i] :
% 5.55/5.81 ( ( mem @ V906l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V907e1: $i] :
% 5.55/5.81 ( ( mem @ V907e1 @ A_27a )
% 5.55/5.81 & ? [V908e2: $i] :
% 5.55/5.81 ( ( mem @ V908e2 @ A_27a )
% 5.55/5.81 & ? [V909e3: $i] :
% 5.55/5.81 ( ( mem @ V909e3 @ A_27a )
% 5.55/5.81 & ? [V910e4: $i] :
% 5.55/5.81 ( ( mem @ V910e4 @ A_27a )
% 5.55/5.81 & ? [V911e5: $i] :
% 5.55/5.81 ( ( mem @ V911e5 @ A_27a )
% 5.55/5.81 & ? [V912e6: $i] :
% 5.55/5.81 ( ( mem @ V912e6 @ A_27a )
% 5.55/5.81 & ? [V913e7: $i] :
% 5.55/5.81 ( ( mem @ V913e7 @ A_27a )
% 5.55/5.81 & ? [V914e8: $i] :
% 5.55/5.81 ( ( mem @ V914e8 @ A_27a )
% 5.55/5.81 & ? [V915e9: $i] :
% 5.55/5.81 ( ( mem @ V915e9 @ A_27a )
% 5.55/5.81 & ? [V916e10: $i] :
% 5.55/5.81 ( ( mem @ V916e10 @ A_27a )
% 5.55/5.81 & ? [V917e11: $i] :
% 5.55/5.81 ( ( mem @ V917e11 @ A_27a )
% 5.55/5.81 & ? [V918e12: $i] :
% 5.55/5.81 ( ( mem @ V918e12 @ A_27a )
% 5.55/5.81 & ? [V919e13: $i] :
% 5.55/5.81 ( ( mem @ V919e13 @ A_27a )
% 5.55/5.81 & ? [V920e14: $i] :
% 5.55/5.81 ( ( mem @ V920e14 @ A_27a )
% 5.55/5.81 & ? [V921e15: $i] :
% 5.55/5.81 ( ( mem @ V921e15 @ A_27a )
% 5.55/5.81 & ? [V922e16: $i] :
% 5.55/5.81 ( ( mem @ V922e16 @ A_27a )
% 5.55/5.81 & ? [V923e17: $i] :
% 5.55/5.81 ( ( mem @ V923e17 @ A_27a )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V907e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V908e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V909e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V910e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V911e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V912e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V913e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V914e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V915e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V916e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V917e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V918e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V919e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V920e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V921e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V922e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V923e17 ) @ V906l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.81 <=> ? [V924l_27: $i] :
% 5.55/5.81 ( ( mem @ V924l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V925e1: $i] :
% 5.55/5.81 ( ( mem @ V925e1 @ A_27a )
% 5.55/5.81 & ? [V926e2: $i] :
% 5.55/5.81 ( ( mem @ V926e2 @ A_27a )
% 5.55/5.81 & ? [V927e3: $i] :
% 5.55/5.81 ( ( mem @ V927e3 @ A_27a )
% 5.55/5.81 & ? [V928e4: $i] :
% 5.55/5.81 ( ( mem @ V928e4 @ A_27a )
% 5.55/5.81 & ? [V929e5: $i] :
% 5.55/5.81 ( ( mem @ V929e5 @ A_27a )
% 5.55/5.81 & ? [V930e6: $i] :
% 5.55/5.81 ( ( mem @ V930e6 @ A_27a )
% 5.55/5.81 & ? [V931e7: $i] :
% 5.55/5.81 ( ( mem @ V931e7 @ A_27a )
% 5.55/5.81 & ? [V932e8: $i] :
% 5.55/5.81 ( ( mem @ V932e8 @ A_27a )
% 5.55/5.81 & ? [V933e9: $i] :
% 5.55/5.81 ( ( mem @ V933e9 @ A_27a )
% 5.55/5.81 & ? [V934e10: $i] :
% 5.55/5.81 ( ( mem @ V934e10 @ A_27a )
% 5.55/5.81 & ? [V935e11: $i] :
% 5.55/5.81 ( ( mem @ V935e11 @ A_27a )
% 5.55/5.81 & ? [V936e12: $i] :
% 5.55/5.81 ( ( mem @ V936e12 @ A_27a )
% 5.55/5.81 & ? [V937e13: $i] :
% 5.55/5.81 ( ( mem @ V937e13 @ A_27a )
% 5.55/5.81 & ? [V938e14: $i] :
% 5.55/5.81 ( ( mem @ V938e14 @ A_27a )
% 5.55/5.81 & ? [V939e15: $i] :
% 5.55/5.81 ( ( mem @ V939e15 @ A_27a )
% 5.55/5.81 & ? [V940e16: $i] :
% 5.55/5.81 ( ( mem @ V940e16 @ A_27a )
% 5.55/5.81 & ? [V941e17: $i] :
% 5.55/5.81 ( ( mem @ V941e17 @ A_27a )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V925e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V926e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V927e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V928e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V929e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V930e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V931e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V932e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V933e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V934e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V935e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V936e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V937e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V938e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V939e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V940e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V941e17 ) @ V924l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.81 <=> ? [V942l_27: $i] :
% 5.55/5.81 ( ( mem @ V942l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V943e1: $i] :
% 5.55/5.81 ( ( mem @ V943e1 @ A_27a )
% 5.55/5.81 & ? [V944e2: $i] :
% 5.55/5.81 ( ( mem @ V944e2 @ A_27a )
% 5.55/5.81 & ? [V945e3: $i] :
% 5.55/5.81 ( ( mem @ V945e3 @ A_27a )
% 5.55/5.81 & ? [V946e4: $i] :
% 5.55/5.81 ( ( mem @ V946e4 @ A_27a )
% 5.55/5.81 & ? [V947e5: $i] :
% 5.55/5.81 ( ( mem @ V947e5 @ A_27a )
% 5.55/5.81 & ? [V948e6: $i] :
% 5.55/5.81 ( ( mem @ V948e6 @ A_27a )
% 5.55/5.81 & ? [V949e7: $i] :
% 5.55/5.81 ( ( mem @ V949e7 @ A_27a )
% 5.55/5.81 & ? [V950e8: $i] :
% 5.55/5.81 ( ( mem @ V950e8 @ A_27a )
% 5.55/5.81 & ? [V951e9: $i] :
% 5.55/5.81 ( ( mem @ V951e9 @ A_27a )
% 5.55/5.81 & ? [V952e10: $i] :
% 5.55/5.81 ( ( mem @ V952e10 @ A_27a )
% 5.55/5.81 & ? [V953e11: $i] :
% 5.55/5.81 ( ( mem @ V953e11 @ A_27a )
% 5.55/5.81 & ? [V954e12: $i] :
% 5.55/5.81 ( ( mem @ V954e12 @ A_27a )
% 5.55/5.81 & ? [V955e13: $i] :
% 5.55/5.81 ( ( mem @ V955e13 @ A_27a )
% 5.55/5.81 & ? [V956e14: $i] :
% 5.55/5.81 ( ( mem @ V956e14 @ A_27a )
% 5.55/5.81 & ? [V957e15: $i] :
% 5.55/5.81 ( ( mem @ V957e15 @ A_27a )
% 5.55/5.81 & ? [V958e16: $i] :
% 5.55/5.81 ( ( mem @ V958e16 @ A_27a )
% 5.55/5.81 & ? [V959e17: $i] :
% 5.55/5.81 ( ( mem @ V959e17 @ A_27a )
% 5.55/5.81 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V942l_27 ) ) )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V943e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V944e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V945e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V946e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V947e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V948e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V949e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V950e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V951e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V952e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V953e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V954e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V955e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V956e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V957e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V958e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V959e17 ) @ V942l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.81 <=> ? [V960l_27: $i] :
% 5.55/5.81 ( ( mem @ V960l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V961e1: $i] :
% 5.55/5.81 ( ( mem @ V961e1 @ A_27a )
% 5.55/5.81 & ? [V962e2: $i] :
% 5.55/5.81 ( ( mem @ V962e2 @ A_27a )
% 5.55/5.81 & ? [V963e3: $i] :
% 5.55/5.81 ( ( mem @ V963e3 @ A_27a )
% 5.55/5.81 & ? [V964e4: $i] :
% 5.55/5.81 ( ( mem @ V964e4 @ A_27a )
% 5.55/5.81 & ? [V965e5: $i] :
% 5.55/5.81 ( ( mem @ V965e5 @ A_27a )
% 5.55/5.81 & ? [V966e6: $i] :
% 5.55/5.81 ( ( mem @ V966e6 @ A_27a )
% 5.55/5.81 & ? [V967e7: $i] :
% 5.55/5.81 ( ( mem @ V967e7 @ A_27a )
% 5.55/5.81 & ? [V968e8: $i] :
% 5.55/5.81 ( ( mem @ V968e8 @ A_27a )
% 5.55/5.81 & ? [V969e9: $i] :
% 5.55/5.81 ( ( mem @ V969e9 @ A_27a )
% 5.55/5.81 & ? [V970e10: $i] :
% 5.55/5.81 ( ( mem @ V970e10 @ A_27a )
% 5.55/5.81 & ? [V971e11: $i] :
% 5.55/5.81 ( ( mem @ V971e11 @ A_27a )
% 5.55/5.81 & ? [V972e12: $i] :
% 5.55/5.81 ( ( mem @ V972e12 @ A_27a )
% 5.55/5.81 & ? [V973e13: $i] :
% 5.55/5.81 ( ( mem @ V973e13 @ A_27a )
% 5.55/5.81 & ? [V974e14: $i] :
% 5.55/5.81 ( ( mem @ V974e14 @ A_27a )
% 5.55/5.81 & ? [V975e15: $i] :
% 5.55/5.81 ( ( mem @ V975e15 @ A_27a )
% 5.55/5.81 & ? [V976e16: $i] :
% 5.55/5.81 ( ( mem @ V976e16 @ A_27a )
% 5.55/5.81 & ? [V977e17: $i] :
% 5.55/5.81 ( ( mem @ V977e17 @ A_27a )
% 5.55/5.81 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V960l_27 ) ) )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V961e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V962e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V963e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V964e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V965e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V966e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V967e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V968e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V969e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V970e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V971e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V972e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V973e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V974e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V975e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V976e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V977e17 ) @ V960l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.81 <=> ? [V978l_27: $i] :
% 5.55/5.81 ( ( mem @ V978l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V979e1: $i] :
% 5.55/5.81 ( ( mem @ V979e1 @ A_27a )
% 5.55/5.81 & ? [V980e2: $i] :
% 5.55/5.81 ( ( mem @ V980e2 @ A_27a )
% 5.55/5.81 & ? [V981e3: $i] :
% 5.55/5.81 ( ( mem @ V981e3 @ A_27a )
% 5.55/5.81 & ? [V982e4: $i] :
% 5.55/5.81 ( ( mem @ V982e4 @ A_27a )
% 5.55/5.81 & ? [V983e5: $i] :
% 5.55/5.81 ( ( mem @ V983e5 @ A_27a )
% 5.55/5.81 & ? [V984e6: $i] :
% 5.55/5.81 ( ( mem @ V984e6 @ A_27a )
% 5.55/5.81 & ? [V985e7: $i] :
% 5.55/5.81 ( ( mem @ V985e7 @ A_27a )
% 5.55/5.81 & ? [V986e8: $i] :
% 5.55/5.81 ( ( mem @ V986e8 @ A_27a )
% 5.55/5.81 & ? [V987e9: $i] :
% 5.55/5.81 ( ( mem @ V987e9 @ A_27a )
% 5.55/5.81 & ? [V988e10: $i] :
% 5.55/5.81 ( ( mem @ V988e10 @ A_27a )
% 5.55/5.81 & ? [V989e11: $i] :
% 5.55/5.81 ( ( mem @ V989e11 @ A_27a )
% 5.55/5.81 & ? [V990e12: $i] :
% 5.55/5.81 ( ( mem @ V990e12 @ A_27a )
% 5.55/5.81 & ? [V991e13: $i] :
% 5.55/5.81 ( ( mem @ V991e13 @ A_27a )
% 5.55/5.81 & ? [V992e14: $i] :
% 5.55/5.81 ( ( mem @ V992e14 @ A_27a )
% 5.55/5.81 & ? [V993e15: $i] :
% 5.55/5.81 ( ( mem @ V993e15 @ A_27a )
% 5.55/5.81 & ? [V994e16: $i] :
% 5.55/5.81 ( ( mem @ V994e16 @ A_27a )
% 5.55/5.81 & ? [V995e17: $i] :
% 5.55/5.81 ( ( mem @ V995e17 @ A_27a )
% 5.55/5.81 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V978l_27 ) ) )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V979e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V980e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V981e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V982e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V983e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V984e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V985e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V986e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V987e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V988e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V989e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V990e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V991e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V992e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V993e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V994e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V995e17 ) @ V978l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) )
% 5.55/5.81 <=> ? [V996l_27: $i] :
% 5.55/5.81 ( ( mem @ V996l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V997e1: $i] :
% 5.55/5.81 ( ( mem @ V997e1 @ A_27a )
% 5.55/5.81 & ? [V998e2: $i] :
% 5.55/5.81 ( ( mem @ V998e2 @ A_27a )
% 5.55/5.81 & ? [V999e3: $i] :
% 5.55/5.81 ( ( mem @ V999e3 @ A_27a )
% 5.55/5.81 & ? [V1000e4: $i] :
% 5.55/5.81 ( ( mem @ V1000e4 @ A_27a )
% 5.55/5.81 & ? [V1001e5: $i] :
% 5.55/5.81 ( ( mem @ V1001e5 @ A_27a )
% 5.55/5.81 & ? [V1002e6: $i] :
% 5.55/5.81 ( ( mem @ V1002e6 @ A_27a )
% 5.55/5.81 & ? [V1003e7: $i] :
% 5.55/5.81 ( ( mem @ V1003e7 @ A_27a )
% 5.55/5.81 & ? [V1004e8: $i] :
% 5.55/5.81 ( ( mem @ V1004e8 @ A_27a )
% 5.55/5.81 & ? [V1005e9: $i] :
% 5.55/5.81 ( ( mem @ V1005e9 @ A_27a )
% 5.55/5.81 & ? [V1006e10: $i] :
% 5.55/5.81 ( ( mem @ V1006e10 @ A_27a )
% 5.55/5.81 & ? [V1007e11: $i] :
% 5.55/5.81 ( ( mem @ V1007e11 @ A_27a )
% 5.55/5.81 & ? [V1008e12: $i] :
% 5.55/5.81 ( ( mem @ V1008e12 @ A_27a )
% 5.55/5.81 & ? [V1009e13: $i] :
% 5.55/5.81 ( ( mem @ V1009e13 @ A_27a )
% 5.55/5.81 & ? [V1010e14: $i] :
% 5.55/5.81 ( ( mem @ V1010e14 @ A_27a )
% 5.55/5.81 & ? [V1011e15: $i] :
% 5.55/5.81 ( ( mem @ V1011e15 @ A_27a )
% 5.55/5.81 & ? [V1012e16: $i] :
% 5.55/5.81 ( ( mem @ V1012e16 @ A_27a )
% 5.55/5.81 & ? [V1013e17: $i] :
% 5.55/5.81 ( ( mem @ V1013e17 @ A_27a )
% 5.55/5.81 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V996l_27 ) ) )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V997e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V998e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V999e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1000e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1001e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1002e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1003e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1004e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1005e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1006e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1007e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1008e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1009e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1010e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1011e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1012e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1013e17 ) @ V996l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.81 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.81 <=> ? [V1014l_27: $i] :
% 5.55/5.81 ( ( mem @ V1014l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V1015e1: $i] :
% 5.55/5.81 ( ( mem @ V1015e1 @ A_27a )
% 5.55/5.81 & ? [V1016e2: $i] :
% 5.55/5.81 ( ( mem @ V1016e2 @ A_27a )
% 5.55/5.81 & ? [V1017e3: $i] :
% 5.55/5.81 ( ( mem @ V1017e3 @ A_27a )
% 5.55/5.81 & ? [V1018e4: $i] :
% 5.55/5.81 ( ( mem @ V1018e4 @ A_27a )
% 5.55/5.81 & ? [V1019e5: $i] :
% 5.55/5.81 ( ( mem @ V1019e5 @ A_27a )
% 5.55/5.81 & ? [V1020e6: $i] :
% 5.55/5.81 ( ( mem @ V1020e6 @ A_27a )
% 5.55/5.81 & ? [V1021e7: $i] :
% 5.55/5.81 ( ( mem @ V1021e7 @ A_27a )
% 5.55/5.81 & ? [V1022e8: $i] :
% 5.55/5.81 ( ( mem @ V1022e8 @ A_27a )
% 5.55/5.81 & ? [V1023e9: $i] :
% 5.55/5.81 ( ( mem @ V1023e9 @ A_27a )
% 5.55/5.81 & ? [V1024e10: $i] :
% 5.55/5.81 ( ( mem @ V1024e10 @ A_27a )
% 5.55/5.81 & ? [V1025e11: $i] :
% 5.55/5.81 ( ( mem @ V1025e11 @ A_27a )
% 5.55/5.81 & ? [V1026e12: $i] :
% 5.55/5.81 ( ( mem @ V1026e12 @ A_27a )
% 5.55/5.81 & ? [V1027e13: $i] :
% 5.55/5.81 ( ( mem @ V1027e13 @ A_27a )
% 5.55/5.81 & ? [V1028e14: $i] :
% 5.55/5.81 ( ( mem @ V1028e14 @ A_27a )
% 5.55/5.81 & ? [V1029e15: $i] :
% 5.55/5.81 ( ( mem @ V1029e15 @ A_27a )
% 5.55/5.81 & ? [V1030e16: $i] :
% 5.55/5.81 ( ( mem @ V1030e16 @ A_27a )
% 5.55/5.81 & ? [V1031e17: $i] :
% 5.55/5.81 ( ( mem @ V1031e17 @ A_27a )
% 5.55/5.81 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1014l_27 ) )
% 5.55/5.81 = V1x )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1015e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1016e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1017e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1018e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1019e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1020e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1021e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1022e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1023e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1024e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1025e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1026e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1027e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1028e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1029e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1030e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1031e17 ) @ V1014l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.55/5.81 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.81 <=> ? [V1032l_27: $i] :
% 5.55/5.81 ( ( mem @ V1032l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V1033e1: $i] :
% 5.55/5.81 ( ( mem @ V1033e1 @ A_27a )
% 5.55/5.81 & ? [V1034e2: $i] :
% 5.55/5.81 ( ( mem @ V1034e2 @ A_27a )
% 5.55/5.81 & ? [V1035e3: $i] :
% 5.55/5.81 ( ( mem @ V1035e3 @ A_27a )
% 5.55/5.81 & ? [V1036e4: $i] :
% 5.55/5.81 ( ( mem @ V1036e4 @ A_27a )
% 5.55/5.81 & ? [V1037e5: $i] :
% 5.55/5.81 ( ( mem @ V1037e5 @ A_27a )
% 5.55/5.81 & ? [V1038e6: $i] :
% 5.55/5.81 ( ( mem @ V1038e6 @ A_27a )
% 5.55/5.81 & ? [V1039e7: $i] :
% 5.55/5.81 ( ( mem @ V1039e7 @ A_27a )
% 5.55/5.81 & ? [V1040e8: $i] :
% 5.55/5.81 ( ( mem @ V1040e8 @ A_27a )
% 5.55/5.81 & ? [V1041e9: $i] :
% 5.55/5.81 ( ( mem @ V1041e9 @ A_27a )
% 5.55/5.81 & ? [V1042e10: $i] :
% 5.55/5.81 ( ( mem @ V1042e10 @ A_27a )
% 5.55/5.81 & ? [V1043e11: $i] :
% 5.55/5.81 ( ( mem @ V1043e11 @ A_27a )
% 5.55/5.81 & ? [V1044e12: $i] :
% 5.55/5.81 ( ( mem @ V1044e12 @ A_27a )
% 5.55/5.81 & ? [V1045e13: $i] :
% 5.55/5.81 ( ( mem @ V1045e13 @ A_27a )
% 5.55/5.81 & ? [V1046e14: $i] :
% 5.55/5.81 ( ( mem @ V1046e14 @ A_27a )
% 5.55/5.81 & ? [V1047e15: $i] :
% 5.55/5.81 ( ( mem @ V1047e15 @ A_27a )
% 5.55/5.81 & ? [V1048e16: $i] :
% 5.55/5.81 ( ( mem @ V1048e16 @ A_27a )
% 5.55/5.81 & ? [V1049e17: $i] :
% 5.55/5.81 ( ( mem @ V1049e17 @ A_27a )
% 5.55/5.81 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1032l_27 ) )
% 5.55/5.81 = V1x )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1033e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1034e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1035e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1036e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1037e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1038e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1039e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1040e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1041e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1042e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1043e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1044e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1045e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1046e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1047e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1048e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1049e17 ) @ V1032l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.81 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) )
% 5.55/5.81 <=> ? [V1050l_27: $i] :
% 5.55/5.81 ( ( mem @ V1050l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V1051e1: $i] :
% 5.55/5.81 ( ( mem @ V1051e1 @ A_27a )
% 5.55/5.81 & ? [V1052e2: $i] :
% 5.55/5.81 ( ( mem @ V1052e2 @ A_27a )
% 5.55/5.81 & ? [V1053e3: $i] :
% 5.55/5.81 ( ( mem @ V1053e3 @ A_27a )
% 5.55/5.81 & ? [V1054e4: $i] :
% 5.55/5.81 ( ( mem @ V1054e4 @ A_27a )
% 5.55/5.81 & ? [V1055e5: $i] :
% 5.55/5.81 ( ( mem @ V1055e5 @ A_27a )
% 5.55/5.81 & ? [V1056e6: $i] :
% 5.55/5.81 ( ( mem @ V1056e6 @ A_27a )
% 5.55/5.81 & ? [V1057e7: $i] :
% 5.55/5.81 ( ( mem @ V1057e7 @ A_27a )
% 5.55/5.81 & ? [V1058e8: $i] :
% 5.55/5.81 ( ( mem @ V1058e8 @ A_27a )
% 5.55/5.81 & ? [V1059e9: $i] :
% 5.55/5.81 ( ( mem @ V1059e9 @ A_27a )
% 5.55/5.81 & ? [V1060e10: $i] :
% 5.55/5.81 ( ( mem @ V1060e10 @ A_27a )
% 5.55/5.81 & ? [V1061e11: $i] :
% 5.55/5.81 ( ( mem @ V1061e11 @ A_27a )
% 5.55/5.81 & ? [V1062e12: $i] :
% 5.55/5.81 ( ( mem @ V1062e12 @ A_27a )
% 5.55/5.81 & ? [V1063e13: $i] :
% 5.55/5.81 ( ( mem @ V1063e13 @ A_27a )
% 5.55/5.81 & ? [V1064e14: $i] :
% 5.55/5.81 ( ( mem @ V1064e14 @ A_27a )
% 5.55/5.81 & ? [V1065e15: $i] :
% 5.55/5.81 ( ( mem @ V1065e15 @ A_27a )
% 5.55/5.81 & ? [V1066e16: $i] :
% 5.55/5.81 ( ( mem @ V1066e16 @ A_27a )
% 5.55/5.81 & ? [V1067e17: $i] :
% 5.55/5.81 ( ( mem @ V1067e17 @ A_27a )
% 5.55/5.81 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1050l_27 ) )
% 5.55/5.81 = V1x )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1051e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1052e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1053e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1054e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1055e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1056e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1057e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1058e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1059e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1060e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1061e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1062e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1063e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1064e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1065e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1066e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1067e17 ) @ V1050l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.81 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.81 <=> ? [V1068l_27: $i] :
% 5.55/5.81 ( ( mem @ V1068l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V1069e1: $i] :
% 5.55/5.81 ( ( mem @ V1069e1 @ A_27a )
% 5.55/5.81 & ? [V1070e2: $i] :
% 5.55/5.81 ( ( mem @ V1070e2 @ A_27a )
% 5.55/5.81 & ? [V1071e3: $i] :
% 5.55/5.81 ( ( mem @ V1071e3 @ A_27a )
% 5.55/5.81 & ? [V1072e4: $i] :
% 5.55/5.81 ( ( mem @ V1072e4 @ A_27a )
% 5.55/5.81 & ? [V1073e5: $i] :
% 5.55/5.81 ( ( mem @ V1073e5 @ A_27a )
% 5.55/5.81 & ? [V1074e6: $i] :
% 5.55/5.81 ( ( mem @ V1074e6 @ A_27a )
% 5.55/5.81 & ? [V1075e7: $i] :
% 5.55/5.81 ( ( mem @ V1075e7 @ A_27a )
% 5.55/5.81 & ? [V1076e8: $i] :
% 5.55/5.81 ( ( mem @ V1076e8 @ A_27a )
% 5.55/5.81 & ? [V1077e9: $i] :
% 5.55/5.81 ( ( mem @ V1077e9 @ A_27a )
% 5.55/5.81 & ? [V1078e10: $i] :
% 5.55/5.81 ( ( mem @ V1078e10 @ A_27a )
% 5.55/5.81 & ? [V1079e11: $i] :
% 5.55/5.81 ( ( mem @ V1079e11 @ A_27a )
% 5.55/5.81 & ? [V1080e12: $i] :
% 5.55/5.81 ( ( mem @ V1080e12 @ A_27a )
% 5.55/5.81 & ? [V1081e13: $i] :
% 5.55/5.81 ( ( mem @ V1081e13 @ A_27a )
% 5.55/5.81 & ? [V1082e14: $i] :
% 5.55/5.81 ( ( mem @ V1082e14 @ A_27a )
% 5.55/5.81 & ? [V1083e15: $i] :
% 5.55/5.81 ( ( mem @ V1083e15 @ A_27a )
% 5.55/5.81 & ? [V1084e16: $i] :
% 5.55/5.81 ( ( mem @ V1084e16 @ A_27a )
% 5.55/5.81 & ? [V1085e17: $i] :
% 5.55/5.81 ( ( mem @ V1085e17 @ A_27a )
% 5.55/5.81 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1068l_27 ) )
% 5.55/5.81 = V1x )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1069e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1070e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1071e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1072e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1073e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1074e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1075e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1076e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1077e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1078e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1079e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1080e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1081e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1082e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1083e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1084e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1085e17 ) @ V1068l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.81 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.81 <=> ? [V1086e1: $i] :
% 5.55/5.81 ( ( mem @ V1086e1 @ A_27a )
% 5.55/5.81 & ? [V1087e2: $i] :
% 5.55/5.81 ( ( mem @ V1087e2 @ A_27a )
% 5.55/5.81 & ? [V1088e3: $i] :
% 5.55/5.81 ( ( mem @ V1088e3 @ A_27a )
% 5.55/5.81 & ? [V1089e4: $i] :
% 5.55/5.81 ( ( mem @ V1089e4 @ A_27a )
% 5.55/5.81 & ? [V1090e5: $i] :
% 5.55/5.81 ( ( mem @ V1090e5 @ A_27a )
% 5.55/5.81 & ? [V1091e6: $i] :
% 5.55/5.81 ( ( mem @ V1091e6 @ A_27a )
% 5.55/5.81 & ? [V1092e7: $i] :
% 5.55/5.81 ( ( mem @ V1092e7 @ A_27a )
% 5.55/5.81 & ? [V1093e8: $i] :
% 5.55/5.81 ( ( mem @ V1093e8 @ A_27a )
% 5.55/5.81 & ? [V1094e9: $i] :
% 5.55/5.81 ( ( mem @ V1094e9 @ A_27a )
% 5.55/5.81 & ? [V1095e10: $i] :
% 5.55/5.81 ( ( mem @ V1095e10 @ A_27a )
% 5.55/5.81 & ? [V1096e11: $i] :
% 5.55/5.81 ( ( mem @ V1096e11 @ A_27a )
% 5.55/5.81 & ? [V1097e12: $i] :
% 5.55/5.81 ( ( mem @ V1097e12 @ A_27a )
% 5.55/5.81 & ? [V1098e13: $i] :
% 5.55/5.81 ( ( mem @ V1098e13 @ A_27a )
% 5.55/5.81 & ? [V1099e14: $i] :
% 5.55/5.81 ( ( mem @ V1099e14 @ A_27a )
% 5.55/5.81 & ? [V1100e15: $i] :
% 5.55/5.81 ( ( mem @ V1100e15 @ A_27a )
% 5.55/5.81 & ? [V1101e16: $i] :
% 5.55/5.81 ( ( mem @ V1101e16 @ A_27a )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1086e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1087e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1088e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1089e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1090e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1091e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1092e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1093e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1094e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1095e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1096e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1097e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1098e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1099e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1100e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1101e16 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.81 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.81 <=> ? [V1102e1: $i] :
% 5.55/5.81 ( ( mem @ V1102e1 @ A_27a )
% 5.55/5.81 & ? [V1103e2: $i] :
% 5.55/5.81 ( ( mem @ V1103e2 @ A_27a )
% 5.55/5.81 & ? [V1104e3: $i] :
% 5.55/5.81 ( ( mem @ V1104e3 @ A_27a )
% 5.55/5.81 & ? [V1105e4: $i] :
% 5.55/5.81 ( ( mem @ V1105e4 @ A_27a )
% 5.55/5.81 & ? [V1106e5: $i] :
% 5.55/5.81 ( ( mem @ V1106e5 @ A_27a )
% 5.55/5.81 & ? [V1107e6: $i] :
% 5.55/5.81 ( ( mem @ V1107e6 @ A_27a )
% 5.55/5.81 & ? [V1108e7: $i] :
% 5.55/5.81 ( ( mem @ V1108e7 @ A_27a )
% 5.55/5.81 & ? [V1109e8: $i] :
% 5.55/5.81 ( ( mem @ V1109e8 @ A_27a )
% 5.55/5.81 & ? [V1110e9: $i] :
% 5.55/5.81 ( ( mem @ V1110e9 @ A_27a )
% 5.55/5.81 & ? [V1111e10: $i] :
% 5.55/5.81 ( ( mem @ V1111e10 @ A_27a )
% 5.55/5.81 & ? [V1112e11: $i] :
% 5.55/5.81 ( ( mem @ V1112e11 @ A_27a )
% 5.55/5.81 & ? [V1113e12: $i] :
% 5.55/5.81 ( ( mem @ V1113e12 @ A_27a )
% 5.55/5.81 & ? [V1114e13: $i] :
% 5.55/5.81 ( ( mem @ V1114e13 @ A_27a )
% 5.55/5.81 & ? [V1115e14: $i] :
% 5.55/5.81 ( ( mem @ V1115e14 @ A_27a )
% 5.55/5.81 & ? [V1116e15: $i] :
% 5.55/5.81 ( ( mem @ V1116e15 @ A_27a )
% 5.55/5.81 & ? [V1117e16: $i] :
% 5.55/5.81 ( ( mem @ V1117e16 @ A_27a )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1102e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1103e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1104e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1105e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1106e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1107e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1108e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1109e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1110e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1111e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1112e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1113e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1114e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1115e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1116e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1117e16 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.81 <=> ? [V1118l_27: $i] :
% 5.55/5.81 ( ( mem @ V1118l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V1119e1: $i] :
% 5.55/5.81 ( ( mem @ V1119e1 @ A_27a )
% 5.55/5.81 & ? [V1120e2: $i] :
% 5.55/5.81 ( ( mem @ V1120e2 @ A_27a )
% 5.55/5.81 & ? [V1121e3: $i] :
% 5.55/5.81 ( ( mem @ V1121e3 @ A_27a )
% 5.55/5.81 & ? [V1122e4: $i] :
% 5.55/5.81 ( ( mem @ V1122e4 @ A_27a )
% 5.55/5.81 & ? [V1123e5: $i] :
% 5.55/5.81 ( ( mem @ V1123e5 @ A_27a )
% 5.55/5.81 & ? [V1124e6: $i] :
% 5.55/5.81 ( ( mem @ V1124e6 @ A_27a )
% 5.55/5.81 & ? [V1125e7: $i] :
% 5.55/5.81 ( ( mem @ V1125e7 @ A_27a )
% 5.55/5.81 & ? [V1126e8: $i] :
% 5.55/5.81 ( ( mem @ V1126e8 @ A_27a )
% 5.55/5.81 & ? [V1127e9: $i] :
% 5.55/5.81 ( ( mem @ V1127e9 @ A_27a )
% 5.55/5.81 & ? [V1128e10: $i] :
% 5.55/5.81 ( ( mem @ V1128e10 @ A_27a )
% 5.55/5.81 & ? [V1129e11: $i] :
% 5.55/5.81 ( ( mem @ V1129e11 @ A_27a )
% 5.55/5.81 & ? [V1130e12: $i] :
% 5.55/5.81 ( ( mem @ V1130e12 @ A_27a )
% 5.55/5.81 & ? [V1131e13: $i] :
% 5.55/5.81 ( ( mem @ V1131e13 @ A_27a )
% 5.55/5.81 & ? [V1132e14: $i] :
% 5.55/5.81 ( ( mem @ V1132e14 @ A_27a )
% 5.55/5.81 & ? [V1133e15: $i] :
% 5.55/5.81 ( ( mem @ V1133e15 @ A_27a )
% 5.55/5.81 & ? [V1134e16: $i] :
% 5.55/5.81 ( ( mem @ V1134e16 @ A_27a )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1119e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1120e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1121e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1122e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1123e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1124e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1125e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1126e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1127e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1128e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1129e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1130e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1131e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1132e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1133e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1134e16 ) @ V1118l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.81 <=> ? [V1135l_27: $i] :
% 5.55/5.81 ( ( mem @ V1135l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V1136e1: $i] :
% 5.55/5.81 ( ( mem @ V1136e1 @ A_27a )
% 5.55/5.81 & ? [V1137e2: $i] :
% 5.55/5.81 ( ( mem @ V1137e2 @ A_27a )
% 5.55/5.81 & ? [V1138e3: $i] :
% 5.55/5.81 ( ( mem @ V1138e3 @ A_27a )
% 5.55/5.81 & ? [V1139e4: $i] :
% 5.55/5.81 ( ( mem @ V1139e4 @ A_27a )
% 5.55/5.81 & ? [V1140e5: $i] :
% 5.55/5.81 ( ( mem @ V1140e5 @ A_27a )
% 5.55/5.81 & ? [V1141e6: $i] :
% 5.55/5.81 ( ( mem @ V1141e6 @ A_27a )
% 5.55/5.81 & ? [V1142e7: $i] :
% 5.55/5.81 ( ( mem @ V1142e7 @ A_27a )
% 5.55/5.81 & ? [V1143e8: $i] :
% 5.55/5.81 ( ( mem @ V1143e8 @ A_27a )
% 5.55/5.81 & ? [V1144e9: $i] :
% 5.55/5.81 ( ( mem @ V1144e9 @ A_27a )
% 5.55/5.81 & ? [V1145e10: $i] :
% 5.55/5.81 ( ( mem @ V1145e10 @ A_27a )
% 5.55/5.81 & ? [V1146e11: $i] :
% 5.55/5.81 ( ( mem @ V1146e11 @ A_27a )
% 5.55/5.81 & ? [V1147e12: $i] :
% 5.55/5.81 ( ( mem @ V1147e12 @ A_27a )
% 5.55/5.81 & ? [V1148e13: $i] :
% 5.55/5.81 ( ( mem @ V1148e13 @ A_27a )
% 5.55/5.81 & ? [V1149e14: $i] :
% 5.55/5.81 ( ( mem @ V1149e14 @ A_27a )
% 5.55/5.81 & ? [V1150e15: $i] :
% 5.55/5.81 ( ( mem @ V1150e15 @ A_27a )
% 5.55/5.81 & ? [V1151e16: $i] :
% 5.55/5.81 ( ( mem @ V1151e16 @ A_27a )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1136e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1137e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1138e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1139e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1140e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1141e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1142e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1143e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1144e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1145e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1146e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1147e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1148e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1149e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1150e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1151e16 ) @ V1135l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.81 <=> ? [V1152l_27: $i] :
% 5.55/5.81 ( ( mem @ V1152l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V1153e1: $i] :
% 5.55/5.81 ( ( mem @ V1153e1 @ A_27a )
% 5.55/5.81 & ? [V1154e2: $i] :
% 5.55/5.81 ( ( mem @ V1154e2 @ A_27a )
% 5.55/5.81 & ? [V1155e3: $i] :
% 5.55/5.81 ( ( mem @ V1155e3 @ A_27a )
% 5.55/5.81 & ? [V1156e4: $i] :
% 5.55/5.81 ( ( mem @ V1156e4 @ A_27a )
% 5.55/5.81 & ? [V1157e5: $i] :
% 5.55/5.81 ( ( mem @ V1157e5 @ A_27a )
% 5.55/5.81 & ? [V1158e6: $i] :
% 5.55/5.81 ( ( mem @ V1158e6 @ A_27a )
% 5.55/5.81 & ? [V1159e7: $i] :
% 5.55/5.81 ( ( mem @ V1159e7 @ A_27a )
% 5.55/5.81 & ? [V1160e8: $i] :
% 5.55/5.81 ( ( mem @ V1160e8 @ A_27a )
% 5.55/5.81 & ? [V1161e9: $i] :
% 5.55/5.81 ( ( mem @ V1161e9 @ A_27a )
% 5.55/5.81 & ? [V1162e10: $i] :
% 5.55/5.81 ( ( mem @ V1162e10 @ A_27a )
% 5.55/5.81 & ? [V1163e11: $i] :
% 5.55/5.81 ( ( mem @ V1163e11 @ A_27a )
% 5.55/5.81 & ? [V1164e12: $i] :
% 5.55/5.81 ( ( mem @ V1164e12 @ A_27a )
% 5.55/5.81 & ? [V1165e13: $i] :
% 5.55/5.81 ( ( mem @ V1165e13 @ A_27a )
% 5.55/5.81 & ? [V1166e14: $i] :
% 5.55/5.81 ( ( mem @ V1166e14 @ A_27a )
% 5.55/5.81 & ? [V1167e15: $i] :
% 5.55/5.81 ( ( mem @ V1167e15 @ A_27a )
% 5.55/5.81 & ? [V1168e16: $i] :
% 5.55/5.81 ( ( mem @ V1168e16 @ A_27a )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1153e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1154e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1155e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1156e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1157e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1158e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1159e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1160e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1161e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1162e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1163e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1164e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1165e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1166e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1167e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1168e16 ) @ V1152l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.81 <=> ? [V1169l_27: $i] :
% 5.55/5.81 ( ( mem @ V1169l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V1170e1: $i] :
% 5.55/5.81 ( ( mem @ V1170e1 @ A_27a )
% 5.55/5.81 & ? [V1171e2: $i] :
% 5.55/5.81 ( ( mem @ V1171e2 @ A_27a )
% 5.55/5.81 & ? [V1172e3: $i] :
% 5.55/5.81 ( ( mem @ V1172e3 @ A_27a )
% 5.55/5.81 & ? [V1173e4: $i] :
% 5.55/5.81 ( ( mem @ V1173e4 @ A_27a )
% 5.55/5.81 & ? [V1174e5: $i] :
% 5.55/5.81 ( ( mem @ V1174e5 @ A_27a )
% 5.55/5.81 & ? [V1175e6: $i] :
% 5.55/5.81 ( ( mem @ V1175e6 @ A_27a )
% 5.55/5.81 & ? [V1176e7: $i] :
% 5.55/5.81 ( ( mem @ V1176e7 @ A_27a )
% 5.55/5.81 & ? [V1177e8: $i] :
% 5.55/5.81 ( ( mem @ V1177e8 @ A_27a )
% 5.55/5.81 & ? [V1178e9: $i] :
% 5.55/5.81 ( ( mem @ V1178e9 @ A_27a )
% 5.55/5.81 & ? [V1179e10: $i] :
% 5.55/5.81 ( ( mem @ V1179e10 @ A_27a )
% 5.55/5.81 & ? [V1180e11: $i] :
% 5.55/5.81 ( ( mem @ V1180e11 @ A_27a )
% 5.55/5.81 & ? [V1181e12: $i] :
% 5.55/5.81 ( ( mem @ V1181e12 @ A_27a )
% 5.55/5.81 & ? [V1182e13: $i] :
% 5.55/5.81 ( ( mem @ V1182e13 @ A_27a )
% 5.55/5.81 & ? [V1183e14: $i] :
% 5.55/5.81 ( ( mem @ V1183e14 @ A_27a )
% 5.55/5.81 & ? [V1184e15: $i] :
% 5.55/5.81 ( ( mem @ V1184e15 @ A_27a )
% 5.55/5.81 & ? [V1185e16: $i] :
% 5.55/5.81 ( ( mem @ V1185e16 @ A_27a )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1170e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1171e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1172e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1173e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1174e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1175e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1176e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1177e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1178e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1179e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1180e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1181e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1182e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1183e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1184e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1185e16 ) @ V1169l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.81 <=> ? [V1186l_27: $i] :
% 5.55/5.81 ( ( mem @ V1186l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V1187e1: $i] :
% 5.55/5.81 ( ( mem @ V1187e1 @ A_27a )
% 5.55/5.81 & ? [V1188e2: $i] :
% 5.55/5.81 ( ( mem @ V1188e2 @ A_27a )
% 5.55/5.81 & ? [V1189e3: $i] :
% 5.55/5.81 ( ( mem @ V1189e3 @ A_27a )
% 5.55/5.81 & ? [V1190e4: $i] :
% 5.55/5.81 ( ( mem @ V1190e4 @ A_27a )
% 5.55/5.81 & ? [V1191e5: $i] :
% 5.55/5.81 ( ( mem @ V1191e5 @ A_27a )
% 5.55/5.81 & ? [V1192e6: $i] :
% 5.55/5.81 ( ( mem @ V1192e6 @ A_27a )
% 5.55/5.81 & ? [V1193e7: $i] :
% 5.55/5.81 ( ( mem @ V1193e7 @ A_27a )
% 5.55/5.81 & ? [V1194e8: $i] :
% 5.55/5.81 ( ( mem @ V1194e8 @ A_27a )
% 5.55/5.81 & ? [V1195e9: $i] :
% 5.55/5.81 ( ( mem @ V1195e9 @ A_27a )
% 5.55/5.81 & ? [V1196e10: $i] :
% 5.55/5.81 ( ( mem @ V1196e10 @ A_27a )
% 5.55/5.81 & ? [V1197e11: $i] :
% 5.55/5.81 ( ( mem @ V1197e11 @ A_27a )
% 5.55/5.81 & ? [V1198e12: $i] :
% 5.55/5.81 ( ( mem @ V1198e12 @ A_27a )
% 5.55/5.81 & ? [V1199e13: $i] :
% 5.55/5.81 ( ( mem @ V1199e13 @ A_27a )
% 5.55/5.81 & ? [V1200e14: $i] :
% 5.55/5.81 ( ( mem @ V1200e14 @ A_27a )
% 5.55/5.81 & ? [V1201e15: $i] :
% 5.55/5.81 ( ( mem @ V1201e15 @ A_27a )
% 5.55/5.81 & ? [V1202e16: $i] :
% 5.55/5.81 ( ( mem @ V1202e16 @ A_27a )
% 5.55/5.81 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1186l_27 ) ) )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1187e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1188e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1189e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1190e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1191e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1192e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1193e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1194e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1195e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1196e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1197e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1198e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1199e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1200e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1201e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1202e16 ) @ V1186l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.81 <=> ? [V1203l_27: $i] :
% 5.55/5.81 ( ( mem @ V1203l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V1204e1: $i] :
% 5.55/5.81 ( ( mem @ V1204e1 @ A_27a )
% 5.55/5.81 & ? [V1205e2: $i] :
% 5.55/5.81 ( ( mem @ V1205e2 @ A_27a )
% 5.55/5.81 & ? [V1206e3: $i] :
% 5.55/5.81 ( ( mem @ V1206e3 @ A_27a )
% 5.55/5.81 & ? [V1207e4: $i] :
% 5.55/5.81 ( ( mem @ V1207e4 @ A_27a )
% 5.55/5.81 & ? [V1208e5: $i] :
% 5.55/5.81 ( ( mem @ V1208e5 @ A_27a )
% 5.55/5.81 & ? [V1209e6: $i] :
% 5.55/5.81 ( ( mem @ V1209e6 @ A_27a )
% 5.55/5.81 & ? [V1210e7: $i] :
% 5.55/5.81 ( ( mem @ V1210e7 @ A_27a )
% 5.55/5.81 & ? [V1211e8: $i] :
% 5.55/5.81 ( ( mem @ V1211e8 @ A_27a )
% 5.55/5.81 & ? [V1212e9: $i] :
% 5.55/5.81 ( ( mem @ V1212e9 @ A_27a )
% 5.55/5.81 & ? [V1213e10: $i] :
% 5.55/5.81 ( ( mem @ V1213e10 @ A_27a )
% 5.55/5.81 & ? [V1214e11: $i] :
% 5.55/5.81 ( ( mem @ V1214e11 @ A_27a )
% 5.55/5.81 & ? [V1215e12: $i] :
% 5.55/5.81 ( ( mem @ V1215e12 @ A_27a )
% 5.55/5.81 & ? [V1216e13: $i] :
% 5.55/5.81 ( ( mem @ V1216e13 @ A_27a )
% 5.55/5.81 & ? [V1217e14: $i] :
% 5.55/5.81 ( ( mem @ V1217e14 @ A_27a )
% 5.55/5.81 & ? [V1218e15: $i] :
% 5.55/5.81 ( ( mem @ V1218e15 @ A_27a )
% 5.55/5.81 & ? [V1219e16: $i] :
% 5.55/5.81 ( ( mem @ V1219e16 @ A_27a )
% 5.55/5.81 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1203l_27 ) ) )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1204e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1205e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1206e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1207e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1208e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1209e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1210e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1211e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1212e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1213e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1214e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1215e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1216e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1217e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1218e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1219e16 ) @ V1203l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.81 <=> ? [V1220l_27: $i] :
% 5.55/5.81 ( ( mem @ V1220l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V1221e1: $i] :
% 5.55/5.81 ( ( mem @ V1221e1 @ A_27a )
% 5.55/5.81 & ? [V1222e2: $i] :
% 5.55/5.81 ( ( mem @ V1222e2 @ A_27a )
% 5.55/5.81 & ? [V1223e3: $i] :
% 5.55/5.81 ( ( mem @ V1223e3 @ A_27a )
% 5.55/5.81 & ? [V1224e4: $i] :
% 5.55/5.81 ( ( mem @ V1224e4 @ A_27a )
% 5.55/5.81 & ? [V1225e5: $i] :
% 5.55/5.81 ( ( mem @ V1225e5 @ A_27a )
% 5.55/5.81 & ? [V1226e6: $i] :
% 5.55/5.81 ( ( mem @ V1226e6 @ A_27a )
% 5.55/5.81 & ? [V1227e7: $i] :
% 5.55/5.81 ( ( mem @ V1227e7 @ A_27a )
% 5.55/5.81 & ? [V1228e8: $i] :
% 5.55/5.81 ( ( mem @ V1228e8 @ A_27a )
% 5.55/5.81 & ? [V1229e9: $i] :
% 5.55/5.81 ( ( mem @ V1229e9 @ A_27a )
% 5.55/5.81 & ? [V1230e10: $i] :
% 5.55/5.81 ( ( mem @ V1230e10 @ A_27a )
% 5.55/5.81 & ? [V1231e11: $i] :
% 5.55/5.81 ( ( mem @ V1231e11 @ A_27a )
% 5.55/5.81 & ? [V1232e12: $i] :
% 5.55/5.81 ( ( mem @ V1232e12 @ A_27a )
% 5.55/5.81 & ? [V1233e13: $i] :
% 5.55/5.81 ( ( mem @ V1233e13 @ A_27a )
% 5.55/5.81 & ? [V1234e14: $i] :
% 5.55/5.81 ( ( mem @ V1234e14 @ A_27a )
% 5.55/5.81 & ? [V1235e15: $i] :
% 5.55/5.81 ( ( mem @ V1235e15 @ A_27a )
% 5.55/5.81 & ? [V1236e16: $i] :
% 5.55/5.81 ( ( mem @ V1236e16 @ A_27a )
% 5.55/5.81 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1220l_27 ) ) )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1221e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1222e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1223e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1224e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1225e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1226e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1227e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1228e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1229e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1230e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1231e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1232e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1233e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1234e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1235e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1236e16 ) @ V1220l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) )
% 5.55/5.81 <=> ? [V1237l_27: $i] :
% 5.55/5.81 ( ( mem @ V1237l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V1238e1: $i] :
% 5.55/5.81 ( ( mem @ V1238e1 @ A_27a )
% 5.55/5.81 & ? [V1239e2: $i] :
% 5.55/5.81 ( ( mem @ V1239e2 @ A_27a )
% 5.55/5.81 & ? [V1240e3: $i] :
% 5.55/5.81 ( ( mem @ V1240e3 @ A_27a )
% 5.55/5.81 & ? [V1241e4: $i] :
% 5.55/5.81 ( ( mem @ V1241e4 @ A_27a )
% 5.55/5.81 & ? [V1242e5: $i] :
% 5.55/5.81 ( ( mem @ V1242e5 @ A_27a )
% 5.55/5.81 & ? [V1243e6: $i] :
% 5.55/5.81 ( ( mem @ V1243e6 @ A_27a )
% 5.55/5.81 & ? [V1244e7: $i] :
% 5.55/5.81 ( ( mem @ V1244e7 @ A_27a )
% 5.55/5.81 & ? [V1245e8: $i] :
% 5.55/5.81 ( ( mem @ V1245e8 @ A_27a )
% 5.55/5.81 & ? [V1246e9: $i] :
% 5.55/5.81 ( ( mem @ V1246e9 @ A_27a )
% 5.55/5.81 & ? [V1247e10: $i] :
% 5.55/5.81 ( ( mem @ V1247e10 @ A_27a )
% 5.55/5.81 & ? [V1248e11: $i] :
% 5.55/5.81 ( ( mem @ V1248e11 @ A_27a )
% 5.55/5.81 & ? [V1249e12: $i] :
% 5.55/5.81 ( ( mem @ V1249e12 @ A_27a )
% 5.55/5.81 & ? [V1250e13: $i] :
% 5.55/5.81 ( ( mem @ V1250e13 @ A_27a )
% 5.55/5.81 & ? [V1251e14: $i] :
% 5.55/5.81 ( ( mem @ V1251e14 @ A_27a )
% 5.55/5.81 & ? [V1252e15: $i] :
% 5.55/5.81 ( ( mem @ V1252e15 @ A_27a )
% 5.55/5.81 & ? [V1253e16: $i] :
% 5.55/5.81 ( ( mem @ V1253e16 @ A_27a )
% 5.55/5.81 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1237l_27 ) ) )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1238e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1239e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1240e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1241e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1242e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1243e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1244e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1245e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1246e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1247e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1248e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1249e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1250e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1251e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1252e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1253e16 ) @ V1237l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.81 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.81 <=> ? [V1254l_27: $i] :
% 5.55/5.81 ( ( mem @ V1254l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V1255e1: $i] :
% 5.55/5.81 ( ( mem @ V1255e1 @ A_27a )
% 5.55/5.81 & ? [V1256e2: $i] :
% 5.55/5.81 ( ( mem @ V1256e2 @ A_27a )
% 5.55/5.81 & ? [V1257e3: $i] :
% 5.55/5.81 ( ( mem @ V1257e3 @ A_27a )
% 5.55/5.81 & ? [V1258e4: $i] :
% 5.55/5.81 ( ( mem @ V1258e4 @ A_27a )
% 5.55/5.81 & ? [V1259e5: $i] :
% 5.55/5.81 ( ( mem @ V1259e5 @ A_27a )
% 5.55/5.81 & ? [V1260e6: $i] :
% 5.55/5.81 ( ( mem @ V1260e6 @ A_27a )
% 5.55/5.81 & ? [V1261e7: $i] :
% 5.55/5.81 ( ( mem @ V1261e7 @ A_27a )
% 5.55/5.81 & ? [V1262e8: $i] :
% 5.55/5.81 ( ( mem @ V1262e8 @ A_27a )
% 5.55/5.81 & ? [V1263e9: $i] :
% 5.55/5.81 ( ( mem @ V1263e9 @ A_27a )
% 5.55/5.81 & ? [V1264e10: $i] :
% 5.55/5.81 ( ( mem @ V1264e10 @ A_27a )
% 5.55/5.81 & ? [V1265e11: $i] :
% 5.55/5.81 ( ( mem @ V1265e11 @ A_27a )
% 5.55/5.81 & ? [V1266e12: $i] :
% 5.55/5.81 ( ( mem @ V1266e12 @ A_27a )
% 5.55/5.81 & ? [V1267e13: $i] :
% 5.55/5.81 ( ( mem @ V1267e13 @ A_27a )
% 5.55/5.81 & ? [V1268e14: $i] :
% 5.55/5.81 ( ( mem @ V1268e14 @ A_27a )
% 5.55/5.81 & ? [V1269e15: $i] :
% 5.55/5.81 ( ( mem @ V1269e15 @ A_27a )
% 5.55/5.81 & ? [V1270e16: $i] :
% 5.55/5.81 ( ( mem @ V1270e16 @ A_27a )
% 5.55/5.81 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1254l_27 ) )
% 5.55/5.81 = V1x )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1255e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1256e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1257e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1258e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1259e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1260e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1261e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1262e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1263e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1264e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1265e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1266e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1267e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1268e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1269e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1270e16 ) @ V1254l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.55/5.81 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.81 <=> ? [V1271l_27: $i] :
% 5.55/5.81 ( ( mem @ V1271l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V1272e1: $i] :
% 5.55/5.81 ( ( mem @ V1272e1 @ A_27a )
% 5.55/5.81 & ? [V1273e2: $i] :
% 5.55/5.81 ( ( mem @ V1273e2 @ A_27a )
% 5.55/5.81 & ? [V1274e3: $i] :
% 5.55/5.81 ( ( mem @ V1274e3 @ A_27a )
% 5.55/5.81 & ? [V1275e4: $i] :
% 5.55/5.81 ( ( mem @ V1275e4 @ A_27a )
% 5.55/5.81 & ? [V1276e5: $i] :
% 5.55/5.81 ( ( mem @ V1276e5 @ A_27a )
% 5.55/5.81 & ? [V1277e6: $i] :
% 5.55/5.81 ( ( mem @ V1277e6 @ A_27a )
% 5.55/5.81 & ? [V1278e7: $i] :
% 5.55/5.81 ( ( mem @ V1278e7 @ A_27a )
% 5.55/5.81 & ? [V1279e8: $i] :
% 5.55/5.81 ( ( mem @ V1279e8 @ A_27a )
% 5.55/5.81 & ? [V1280e9: $i] :
% 5.55/5.81 ( ( mem @ V1280e9 @ A_27a )
% 5.55/5.81 & ? [V1281e10: $i] :
% 5.55/5.81 ( ( mem @ V1281e10 @ A_27a )
% 5.55/5.81 & ? [V1282e11: $i] :
% 5.55/5.81 ( ( mem @ V1282e11 @ A_27a )
% 5.55/5.81 & ? [V1283e12: $i] :
% 5.55/5.81 ( ( mem @ V1283e12 @ A_27a )
% 5.55/5.81 & ? [V1284e13: $i] :
% 5.55/5.81 ( ( mem @ V1284e13 @ A_27a )
% 5.55/5.81 & ? [V1285e14: $i] :
% 5.55/5.81 ( ( mem @ V1285e14 @ A_27a )
% 5.55/5.81 & ? [V1286e15: $i] :
% 5.55/5.81 ( ( mem @ V1286e15 @ A_27a )
% 5.55/5.81 & ? [V1287e16: $i] :
% 5.55/5.81 ( ( mem @ V1287e16 @ A_27a )
% 5.55/5.81 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1271l_27 ) )
% 5.55/5.81 = V1x )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1272e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1273e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1274e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1275e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1276e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1277e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1278e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1279e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1280e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1281e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1282e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1283e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1284e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1285e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1286e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1287e16 ) @ V1271l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.81 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) )
% 5.55/5.81 <=> ? [V1288l_27: $i] :
% 5.55/5.81 ( ( mem @ V1288l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V1289e1: $i] :
% 5.55/5.81 ( ( mem @ V1289e1 @ A_27a )
% 5.55/5.81 & ? [V1290e2: $i] :
% 5.55/5.81 ( ( mem @ V1290e2 @ A_27a )
% 5.55/5.81 & ? [V1291e3: $i] :
% 5.55/5.81 ( ( mem @ V1291e3 @ A_27a )
% 5.55/5.81 & ? [V1292e4: $i] :
% 5.55/5.81 ( ( mem @ V1292e4 @ A_27a )
% 5.55/5.81 & ? [V1293e5: $i] :
% 5.55/5.81 ( ( mem @ V1293e5 @ A_27a )
% 5.55/5.81 & ? [V1294e6: $i] :
% 5.55/5.81 ( ( mem @ V1294e6 @ A_27a )
% 5.55/5.81 & ? [V1295e7: $i] :
% 5.55/5.81 ( ( mem @ V1295e7 @ A_27a )
% 5.55/5.81 & ? [V1296e8: $i] :
% 5.55/5.81 ( ( mem @ V1296e8 @ A_27a )
% 5.55/5.81 & ? [V1297e9: $i] :
% 5.55/5.81 ( ( mem @ V1297e9 @ A_27a )
% 5.55/5.81 & ? [V1298e10: $i] :
% 5.55/5.81 ( ( mem @ V1298e10 @ A_27a )
% 5.55/5.81 & ? [V1299e11: $i] :
% 5.55/5.81 ( ( mem @ V1299e11 @ A_27a )
% 5.55/5.81 & ? [V1300e12: $i] :
% 5.55/5.81 ( ( mem @ V1300e12 @ A_27a )
% 5.55/5.81 & ? [V1301e13: $i] :
% 5.55/5.81 ( ( mem @ V1301e13 @ A_27a )
% 5.55/5.81 & ? [V1302e14: $i] :
% 5.55/5.81 ( ( mem @ V1302e14 @ A_27a )
% 5.55/5.81 & ? [V1303e15: $i] :
% 5.55/5.81 ( ( mem @ V1303e15 @ A_27a )
% 5.55/5.81 & ? [V1304e16: $i] :
% 5.55/5.81 ( ( mem @ V1304e16 @ A_27a )
% 5.55/5.81 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1288l_27 ) )
% 5.55/5.81 = V1x )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1289e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1290e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1291e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1292e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1293e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1294e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1295e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1296e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1297e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1298e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1299e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1300e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1301e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1302e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1303e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1304e16 ) @ V1288l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.81 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.81 <=> ? [V1305l_27: $i] :
% 5.55/5.81 ( ( mem @ V1305l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V1306e1: $i] :
% 5.55/5.81 ( ( mem @ V1306e1 @ A_27a )
% 5.55/5.81 & ? [V1307e2: $i] :
% 5.55/5.81 ( ( mem @ V1307e2 @ A_27a )
% 5.55/5.81 & ? [V1308e3: $i] :
% 5.55/5.81 ( ( mem @ V1308e3 @ A_27a )
% 5.55/5.81 & ? [V1309e4: $i] :
% 5.55/5.81 ( ( mem @ V1309e4 @ A_27a )
% 5.55/5.81 & ? [V1310e5: $i] :
% 5.55/5.81 ( ( mem @ V1310e5 @ A_27a )
% 5.55/5.81 & ? [V1311e6: $i] :
% 5.55/5.81 ( ( mem @ V1311e6 @ A_27a )
% 5.55/5.81 & ? [V1312e7: $i] :
% 5.55/5.81 ( ( mem @ V1312e7 @ A_27a )
% 5.55/5.81 & ? [V1313e8: $i] :
% 5.55/5.81 ( ( mem @ V1313e8 @ A_27a )
% 5.55/5.81 & ? [V1314e9: $i] :
% 5.55/5.81 ( ( mem @ V1314e9 @ A_27a )
% 5.55/5.81 & ? [V1315e10: $i] :
% 5.55/5.81 ( ( mem @ V1315e10 @ A_27a )
% 5.55/5.81 & ? [V1316e11: $i] :
% 5.55/5.81 ( ( mem @ V1316e11 @ A_27a )
% 5.55/5.81 & ? [V1317e12: $i] :
% 5.55/5.81 ( ( mem @ V1317e12 @ A_27a )
% 5.55/5.81 & ? [V1318e13: $i] :
% 5.55/5.81 ( ( mem @ V1318e13 @ A_27a )
% 5.55/5.81 & ? [V1319e14: $i] :
% 5.55/5.81 ( ( mem @ V1319e14 @ A_27a )
% 5.55/5.81 & ? [V1320e15: $i] :
% 5.55/5.81 ( ( mem @ V1320e15 @ A_27a )
% 5.55/5.81 & ? [V1321e16: $i] :
% 5.55/5.81 ( ( mem @ V1321e16 @ A_27a )
% 5.55/5.81 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1305l_27 ) )
% 5.55/5.81 = V1x )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1306e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1307e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1308e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1309e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1310e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1311e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1312e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1313e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1314e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1315e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1316e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1317e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1318e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1319e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1320e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1321e16 ) @ V1305l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.81 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.81 <=> ? [V1322e1: $i] :
% 5.55/5.81 ( ( mem @ V1322e1 @ A_27a )
% 5.55/5.81 & ? [V1323e2: $i] :
% 5.55/5.81 ( ( mem @ V1323e2 @ A_27a )
% 5.55/5.81 & ? [V1324e3: $i] :
% 5.55/5.81 ( ( mem @ V1324e3 @ A_27a )
% 5.55/5.81 & ? [V1325e4: $i] :
% 5.55/5.81 ( ( mem @ V1325e4 @ A_27a )
% 5.55/5.81 & ? [V1326e5: $i] :
% 5.55/5.81 ( ( mem @ V1326e5 @ A_27a )
% 5.55/5.81 & ? [V1327e6: $i] :
% 5.55/5.81 ( ( mem @ V1327e6 @ A_27a )
% 5.55/5.81 & ? [V1328e7: $i] :
% 5.55/5.81 ( ( mem @ V1328e7 @ A_27a )
% 5.55/5.81 & ? [V1329e8: $i] :
% 5.55/5.81 ( ( mem @ V1329e8 @ A_27a )
% 5.55/5.81 & ? [V1330e9: $i] :
% 5.55/5.81 ( ( mem @ V1330e9 @ A_27a )
% 5.55/5.81 & ? [V1331e10: $i] :
% 5.55/5.81 ( ( mem @ V1331e10 @ A_27a )
% 5.55/5.81 & ? [V1332e11: $i] :
% 5.55/5.81 ( ( mem @ V1332e11 @ A_27a )
% 5.55/5.81 & ? [V1333e12: $i] :
% 5.55/5.81 ( ( mem @ V1333e12 @ A_27a )
% 5.55/5.81 & ? [V1334e13: $i] :
% 5.55/5.81 ( ( mem @ V1334e13 @ A_27a )
% 5.55/5.81 & ? [V1335e14: $i] :
% 5.55/5.81 ( ( mem @ V1335e14 @ A_27a )
% 5.55/5.81 & ? [V1336e15: $i] :
% 5.55/5.81 ( ( mem @ V1336e15 @ A_27a )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1322e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1323e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1324e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1325e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1326e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1327e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1328e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1329e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1330e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1331e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1332e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1333e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1334e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1335e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1336e15 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.81 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.81 <=> ? [V1337e1: $i] :
% 5.55/5.81 ( ( mem @ V1337e1 @ A_27a )
% 5.55/5.81 & ? [V1338e2: $i] :
% 5.55/5.81 ( ( mem @ V1338e2 @ A_27a )
% 5.55/5.81 & ? [V1339e3: $i] :
% 5.55/5.81 ( ( mem @ V1339e3 @ A_27a )
% 5.55/5.81 & ? [V1340e4: $i] :
% 5.55/5.81 ( ( mem @ V1340e4 @ A_27a )
% 5.55/5.81 & ? [V1341e5: $i] :
% 5.55/5.81 ( ( mem @ V1341e5 @ A_27a )
% 5.55/5.81 & ? [V1342e6: $i] :
% 5.55/5.81 ( ( mem @ V1342e6 @ A_27a )
% 5.55/5.81 & ? [V1343e7: $i] :
% 5.55/5.81 ( ( mem @ V1343e7 @ A_27a )
% 5.55/5.81 & ? [V1344e8: $i] :
% 5.55/5.81 ( ( mem @ V1344e8 @ A_27a )
% 5.55/5.81 & ? [V1345e9: $i] :
% 5.55/5.81 ( ( mem @ V1345e9 @ A_27a )
% 5.55/5.81 & ? [V1346e10: $i] :
% 5.55/5.81 ( ( mem @ V1346e10 @ A_27a )
% 5.55/5.81 & ? [V1347e11: $i] :
% 5.55/5.81 ( ( mem @ V1347e11 @ A_27a )
% 5.55/5.81 & ? [V1348e12: $i] :
% 5.55/5.81 ( ( mem @ V1348e12 @ A_27a )
% 5.55/5.81 & ? [V1349e13: $i] :
% 5.55/5.81 ( ( mem @ V1349e13 @ A_27a )
% 5.55/5.81 & ? [V1350e14: $i] :
% 5.55/5.81 ( ( mem @ V1350e14 @ A_27a )
% 5.55/5.81 & ? [V1351e15: $i] :
% 5.55/5.81 ( ( mem @ V1351e15 @ A_27a )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1337e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1338e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1339e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1340e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1341e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1342e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1343e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1344e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1345e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1346e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1347e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1348e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1349e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1350e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1351e15 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.81 <=> ? [V1352l_27: $i] :
% 5.55/5.81 ( ( mem @ V1352l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V1353e1: $i] :
% 5.55/5.81 ( ( mem @ V1353e1 @ A_27a )
% 5.55/5.81 & ? [V1354e2: $i] :
% 5.55/5.81 ( ( mem @ V1354e2 @ A_27a )
% 5.55/5.81 & ? [V1355e3: $i] :
% 5.55/5.81 ( ( mem @ V1355e3 @ A_27a )
% 5.55/5.81 & ? [V1356e4: $i] :
% 5.55/5.81 ( ( mem @ V1356e4 @ A_27a )
% 5.55/5.81 & ? [V1357e5: $i] :
% 5.55/5.81 ( ( mem @ V1357e5 @ A_27a )
% 5.55/5.81 & ? [V1358e6: $i] :
% 5.55/5.81 ( ( mem @ V1358e6 @ A_27a )
% 5.55/5.81 & ? [V1359e7: $i] :
% 5.55/5.81 ( ( mem @ V1359e7 @ A_27a )
% 5.55/5.81 & ? [V1360e8: $i] :
% 5.55/5.81 ( ( mem @ V1360e8 @ A_27a )
% 5.55/5.81 & ? [V1361e9: $i] :
% 5.55/5.81 ( ( mem @ V1361e9 @ A_27a )
% 5.55/5.81 & ? [V1362e10: $i] :
% 5.55/5.81 ( ( mem @ V1362e10 @ A_27a )
% 5.55/5.81 & ? [V1363e11: $i] :
% 5.55/5.81 ( ( mem @ V1363e11 @ A_27a )
% 5.55/5.81 & ? [V1364e12: $i] :
% 5.55/5.81 ( ( mem @ V1364e12 @ A_27a )
% 5.55/5.81 & ? [V1365e13: $i] :
% 5.55/5.81 ( ( mem @ V1365e13 @ A_27a )
% 5.55/5.81 & ? [V1366e14: $i] :
% 5.55/5.81 ( ( mem @ V1366e14 @ A_27a )
% 5.55/5.81 & ? [V1367e15: $i] :
% 5.55/5.81 ( ( mem @ V1367e15 @ A_27a )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1353e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1354e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1355e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1356e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1357e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1358e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1359e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1360e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1361e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1362e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1363e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1364e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1365e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1366e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1367e15 ) @ V1352l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.81 <=> ? [V1368l_27: $i] :
% 5.55/5.81 ( ( mem @ V1368l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V1369e1: $i] :
% 5.55/5.81 ( ( mem @ V1369e1 @ A_27a )
% 5.55/5.81 & ? [V1370e2: $i] :
% 5.55/5.81 ( ( mem @ V1370e2 @ A_27a )
% 5.55/5.81 & ? [V1371e3: $i] :
% 5.55/5.81 ( ( mem @ V1371e3 @ A_27a )
% 5.55/5.81 & ? [V1372e4: $i] :
% 5.55/5.81 ( ( mem @ V1372e4 @ A_27a )
% 5.55/5.81 & ? [V1373e5: $i] :
% 5.55/5.81 ( ( mem @ V1373e5 @ A_27a )
% 5.55/5.81 & ? [V1374e6: $i] :
% 5.55/5.81 ( ( mem @ V1374e6 @ A_27a )
% 5.55/5.81 & ? [V1375e7: $i] :
% 5.55/5.81 ( ( mem @ V1375e7 @ A_27a )
% 5.55/5.81 & ? [V1376e8: $i] :
% 5.55/5.81 ( ( mem @ V1376e8 @ A_27a )
% 5.55/5.81 & ? [V1377e9: $i] :
% 5.55/5.81 ( ( mem @ V1377e9 @ A_27a )
% 5.55/5.81 & ? [V1378e10: $i] :
% 5.55/5.81 ( ( mem @ V1378e10 @ A_27a )
% 5.55/5.81 & ? [V1379e11: $i] :
% 5.55/5.81 ( ( mem @ V1379e11 @ A_27a )
% 5.55/5.81 & ? [V1380e12: $i] :
% 5.55/5.81 ( ( mem @ V1380e12 @ A_27a )
% 5.55/5.81 & ? [V1381e13: $i] :
% 5.55/5.81 ( ( mem @ V1381e13 @ A_27a )
% 5.55/5.81 & ? [V1382e14: $i] :
% 5.55/5.81 ( ( mem @ V1382e14 @ A_27a )
% 5.55/5.81 & ? [V1383e15: $i] :
% 5.55/5.81 ( ( mem @ V1383e15 @ A_27a )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1369e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1370e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1371e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1372e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1373e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1374e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1375e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1376e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1377e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1378e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1379e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1380e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1381e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1382e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1383e15 ) @ V1368l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.81 <=> ? [V1384l_27: $i] :
% 5.55/5.81 ( ( mem @ V1384l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V1385e1: $i] :
% 5.55/5.81 ( ( mem @ V1385e1 @ A_27a )
% 5.55/5.81 & ? [V1386e2: $i] :
% 5.55/5.81 ( ( mem @ V1386e2 @ A_27a )
% 5.55/5.81 & ? [V1387e3: $i] :
% 5.55/5.81 ( ( mem @ V1387e3 @ A_27a )
% 5.55/5.81 & ? [V1388e4: $i] :
% 5.55/5.81 ( ( mem @ V1388e4 @ A_27a )
% 5.55/5.81 & ? [V1389e5: $i] :
% 5.55/5.81 ( ( mem @ V1389e5 @ A_27a )
% 5.55/5.81 & ? [V1390e6: $i] :
% 5.55/5.81 ( ( mem @ V1390e6 @ A_27a )
% 5.55/5.81 & ? [V1391e7: $i] :
% 5.55/5.81 ( ( mem @ V1391e7 @ A_27a )
% 5.55/5.81 & ? [V1392e8: $i] :
% 5.55/5.81 ( ( mem @ V1392e8 @ A_27a )
% 5.55/5.81 & ? [V1393e9: $i] :
% 5.55/5.81 ( ( mem @ V1393e9 @ A_27a )
% 5.55/5.81 & ? [V1394e10: $i] :
% 5.55/5.81 ( ( mem @ V1394e10 @ A_27a )
% 5.55/5.81 & ? [V1395e11: $i] :
% 5.55/5.81 ( ( mem @ V1395e11 @ A_27a )
% 5.55/5.81 & ? [V1396e12: $i] :
% 5.55/5.81 ( ( mem @ V1396e12 @ A_27a )
% 5.55/5.81 & ? [V1397e13: $i] :
% 5.55/5.81 ( ( mem @ V1397e13 @ A_27a )
% 5.55/5.81 & ? [V1398e14: $i] :
% 5.55/5.81 ( ( mem @ V1398e14 @ A_27a )
% 5.55/5.81 & ? [V1399e15: $i] :
% 5.55/5.81 ( ( mem @ V1399e15 @ A_27a )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1385e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1386e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1387e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1388e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1389e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1390e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1391e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1392e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1393e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1394e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1395e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1396e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1397e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1398e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1399e15 ) @ V1384l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.81 <=> ? [V1400l_27: $i] :
% 5.55/5.81 ( ( mem @ V1400l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V1401e1: $i] :
% 5.55/5.81 ( ( mem @ V1401e1 @ A_27a )
% 5.55/5.81 & ? [V1402e2: $i] :
% 5.55/5.81 ( ( mem @ V1402e2 @ A_27a )
% 5.55/5.81 & ? [V1403e3: $i] :
% 5.55/5.81 ( ( mem @ V1403e3 @ A_27a )
% 5.55/5.81 & ? [V1404e4: $i] :
% 5.55/5.81 ( ( mem @ V1404e4 @ A_27a )
% 5.55/5.81 & ? [V1405e5: $i] :
% 5.55/5.81 ( ( mem @ V1405e5 @ A_27a )
% 5.55/5.81 & ? [V1406e6: $i] :
% 5.55/5.81 ( ( mem @ V1406e6 @ A_27a )
% 5.55/5.81 & ? [V1407e7: $i] :
% 5.55/5.81 ( ( mem @ V1407e7 @ A_27a )
% 5.55/5.81 & ? [V1408e8: $i] :
% 5.55/5.81 ( ( mem @ V1408e8 @ A_27a )
% 5.55/5.81 & ? [V1409e9: $i] :
% 5.55/5.81 ( ( mem @ V1409e9 @ A_27a )
% 5.55/5.81 & ? [V1410e10: $i] :
% 5.55/5.81 ( ( mem @ V1410e10 @ A_27a )
% 5.55/5.81 & ? [V1411e11: $i] :
% 5.55/5.81 ( ( mem @ V1411e11 @ A_27a )
% 5.55/5.81 & ? [V1412e12: $i] :
% 5.55/5.81 ( ( mem @ V1412e12 @ A_27a )
% 5.55/5.81 & ? [V1413e13: $i] :
% 5.55/5.81 ( ( mem @ V1413e13 @ A_27a )
% 5.55/5.81 & ? [V1414e14: $i] :
% 5.55/5.81 ( ( mem @ V1414e14 @ A_27a )
% 5.55/5.81 & ? [V1415e15: $i] :
% 5.55/5.81 ( ( mem @ V1415e15 @ A_27a )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1401e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1402e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1403e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1404e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1405e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1406e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1407e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1408e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1409e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1410e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1411e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1412e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1413e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1414e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1415e15 ) @ V1400l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.81 <=> ? [V1416l_27: $i] :
% 5.55/5.81 ( ( mem @ V1416l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V1417e1: $i] :
% 5.55/5.81 ( ( mem @ V1417e1 @ A_27a )
% 5.55/5.81 & ? [V1418e2: $i] :
% 5.55/5.81 ( ( mem @ V1418e2 @ A_27a )
% 5.55/5.81 & ? [V1419e3: $i] :
% 5.55/5.81 ( ( mem @ V1419e3 @ A_27a )
% 5.55/5.81 & ? [V1420e4: $i] :
% 5.55/5.81 ( ( mem @ V1420e4 @ A_27a )
% 5.55/5.81 & ? [V1421e5: $i] :
% 5.55/5.81 ( ( mem @ V1421e5 @ A_27a )
% 5.55/5.81 & ? [V1422e6: $i] :
% 5.55/5.81 ( ( mem @ V1422e6 @ A_27a )
% 5.55/5.81 & ? [V1423e7: $i] :
% 5.55/5.81 ( ( mem @ V1423e7 @ A_27a )
% 5.55/5.81 & ? [V1424e8: $i] :
% 5.55/5.81 ( ( mem @ V1424e8 @ A_27a )
% 5.55/5.81 & ? [V1425e9: $i] :
% 5.55/5.81 ( ( mem @ V1425e9 @ A_27a )
% 5.55/5.81 & ? [V1426e10: $i] :
% 5.55/5.81 ( ( mem @ V1426e10 @ A_27a )
% 5.55/5.81 & ? [V1427e11: $i] :
% 5.55/5.81 ( ( mem @ V1427e11 @ A_27a )
% 5.55/5.81 & ? [V1428e12: $i] :
% 5.55/5.81 ( ( mem @ V1428e12 @ A_27a )
% 5.55/5.81 & ? [V1429e13: $i] :
% 5.55/5.81 ( ( mem @ V1429e13 @ A_27a )
% 5.55/5.81 & ? [V1430e14: $i] :
% 5.55/5.81 ( ( mem @ V1430e14 @ A_27a )
% 5.55/5.81 & ? [V1431e15: $i] :
% 5.55/5.81 ( ( mem @ V1431e15 @ A_27a )
% 5.55/5.81 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1416l_27 ) ) )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1417e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1418e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1419e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1420e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1421e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1422e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1423e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1424e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1425e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1426e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1427e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1428e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1429e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1430e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1431e15 ) @ V1416l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.81 <=> ? [V1432l_27: $i] :
% 5.55/5.81 ( ( mem @ V1432l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V1433e1: $i] :
% 5.55/5.81 ( ( mem @ V1433e1 @ A_27a )
% 5.55/5.81 & ? [V1434e2: $i] :
% 5.55/5.81 ( ( mem @ V1434e2 @ A_27a )
% 5.55/5.81 & ? [V1435e3: $i] :
% 5.55/5.81 ( ( mem @ V1435e3 @ A_27a )
% 5.55/5.81 & ? [V1436e4: $i] :
% 5.55/5.81 ( ( mem @ V1436e4 @ A_27a )
% 5.55/5.81 & ? [V1437e5: $i] :
% 5.55/5.81 ( ( mem @ V1437e5 @ A_27a )
% 5.55/5.81 & ? [V1438e6: $i] :
% 5.55/5.81 ( ( mem @ V1438e6 @ A_27a )
% 5.55/5.81 & ? [V1439e7: $i] :
% 5.55/5.81 ( ( mem @ V1439e7 @ A_27a )
% 5.55/5.81 & ? [V1440e8: $i] :
% 5.55/5.81 ( ( mem @ V1440e8 @ A_27a )
% 5.55/5.81 & ? [V1441e9: $i] :
% 5.55/5.81 ( ( mem @ V1441e9 @ A_27a )
% 5.55/5.81 & ? [V1442e10: $i] :
% 5.55/5.81 ( ( mem @ V1442e10 @ A_27a )
% 5.55/5.81 & ? [V1443e11: $i] :
% 5.55/5.81 ( ( mem @ V1443e11 @ A_27a )
% 5.55/5.81 & ? [V1444e12: $i] :
% 5.55/5.81 ( ( mem @ V1444e12 @ A_27a )
% 5.55/5.81 & ? [V1445e13: $i] :
% 5.55/5.81 ( ( mem @ V1445e13 @ A_27a )
% 5.55/5.81 & ? [V1446e14: $i] :
% 5.55/5.81 ( ( mem @ V1446e14 @ A_27a )
% 5.55/5.81 & ? [V1447e15: $i] :
% 5.55/5.81 ( ( mem @ V1447e15 @ A_27a )
% 5.55/5.81 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1432l_27 ) ) )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1433e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1434e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1435e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1436e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1437e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1438e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1439e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1440e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1441e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1442e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1443e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1444e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1445e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1446e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1447e15 ) @ V1432l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.81 <=> ? [V1448l_27: $i] :
% 5.55/5.81 ( ( mem @ V1448l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V1449e1: $i] :
% 5.55/5.81 ( ( mem @ V1449e1 @ A_27a )
% 5.55/5.81 & ? [V1450e2: $i] :
% 5.55/5.81 ( ( mem @ V1450e2 @ A_27a )
% 5.55/5.81 & ? [V1451e3: $i] :
% 5.55/5.81 ( ( mem @ V1451e3 @ A_27a )
% 5.55/5.81 & ? [V1452e4: $i] :
% 5.55/5.81 ( ( mem @ V1452e4 @ A_27a )
% 5.55/5.81 & ? [V1453e5: $i] :
% 5.55/5.81 ( ( mem @ V1453e5 @ A_27a )
% 5.55/5.81 & ? [V1454e6: $i] :
% 5.55/5.81 ( ( mem @ V1454e6 @ A_27a )
% 5.55/5.81 & ? [V1455e7: $i] :
% 5.55/5.81 ( ( mem @ V1455e7 @ A_27a )
% 5.55/5.81 & ? [V1456e8: $i] :
% 5.55/5.81 ( ( mem @ V1456e8 @ A_27a )
% 5.55/5.81 & ? [V1457e9: $i] :
% 5.55/5.81 ( ( mem @ V1457e9 @ A_27a )
% 5.55/5.81 & ? [V1458e10: $i] :
% 5.55/5.81 ( ( mem @ V1458e10 @ A_27a )
% 5.55/5.81 & ? [V1459e11: $i] :
% 5.55/5.81 ( ( mem @ V1459e11 @ A_27a )
% 5.55/5.81 & ? [V1460e12: $i] :
% 5.55/5.81 ( ( mem @ V1460e12 @ A_27a )
% 5.55/5.81 & ? [V1461e13: $i] :
% 5.55/5.81 ( ( mem @ V1461e13 @ A_27a )
% 5.55/5.81 & ? [V1462e14: $i] :
% 5.55/5.81 ( ( mem @ V1462e14 @ A_27a )
% 5.55/5.81 & ? [V1463e15: $i] :
% 5.55/5.81 ( ( mem @ V1463e15 @ A_27a )
% 5.55/5.81 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1448l_27 ) ) )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1449e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1450e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1451e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1452e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1453e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1454e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1455e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1456e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1457e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1458e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1459e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1460e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1461e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1462e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1463e15 ) @ V1448l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) )
% 5.55/5.81 <=> ? [V1464l_27: $i] :
% 5.55/5.81 ( ( mem @ V1464l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V1465e1: $i] :
% 5.55/5.81 ( ( mem @ V1465e1 @ A_27a )
% 5.55/5.81 & ? [V1466e2: $i] :
% 5.55/5.81 ( ( mem @ V1466e2 @ A_27a )
% 5.55/5.81 & ? [V1467e3: $i] :
% 5.55/5.81 ( ( mem @ V1467e3 @ A_27a )
% 5.55/5.81 & ? [V1468e4: $i] :
% 5.55/5.81 ( ( mem @ V1468e4 @ A_27a )
% 5.55/5.81 & ? [V1469e5: $i] :
% 5.55/5.81 ( ( mem @ V1469e5 @ A_27a )
% 5.55/5.81 & ? [V1470e6: $i] :
% 5.55/5.81 ( ( mem @ V1470e6 @ A_27a )
% 5.55/5.81 & ? [V1471e7: $i] :
% 5.55/5.81 ( ( mem @ V1471e7 @ A_27a )
% 5.55/5.81 & ? [V1472e8: $i] :
% 5.55/5.81 ( ( mem @ V1472e8 @ A_27a )
% 5.55/5.81 & ? [V1473e9: $i] :
% 5.55/5.81 ( ( mem @ V1473e9 @ A_27a )
% 5.55/5.81 & ? [V1474e10: $i] :
% 5.55/5.81 ( ( mem @ V1474e10 @ A_27a )
% 5.55/5.81 & ? [V1475e11: $i] :
% 5.55/5.81 ( ( mem @ V1475e11 @ A_27a )
% 5.55/5.81 & ? [V1476e12: $i] :
% 5.55/5.81 ( ( mem @ V1476e12 @ A_27a )
% 5.55/5.81 & ? [V1477e13: $i] :
% 5.55/5.81 ( ( mem @ V1477e13 @ A_27a )
% 5.55/5.81 & ? [V1478e14: $i] :
% 5.55/5.81 ( ( mem @ V1478e14 @ A_27a )
% 5.55/5.81 & ? [V1479e15: $i] :
% 5.55/5.81 ( ( mem @ V1479e15 @ A_27a )
% 5.55/5.81 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1464l_27 ) ) )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1465e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1466e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1467e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1468e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1469e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1470e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1471e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1472e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1473e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1474e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1475e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1476e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1477e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1478e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1479e15 ) @ V1464l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.81 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.81 <=> ? [V1480l_27: $i] :
% 5.55/5.81 ( ( mem @ V1480l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V1481e1: $i] :
% 5.55/5.81 ( ( mem @ V1481e1 @ A_27a )
% 5.55/5.81 & ? [V1482e2: $i] :
% 5.55/5.81 ( ( mem @ V1482e2 @ A_27a )
% 5.55/5.81 & ? [V1483e3: $i] :
% 5.55/5.81 ( ( mem @ V1483e3 @ A_27a )
% 5.55/5.81 & ? [V1484e4: $i] :
% 5.55/5.81 ( ( mem @ V1484e4 @ A_27a )
% 5.55/5.81 & ? [V1485e5: $i] :
% 5.55/5.81 ( ( mem @ V1485e5 @ A_27a )
% 5.55/5.81 & ? [V1486e6: $i] :
% 5.55/5.81 ( ( mem @ V1486e6 @ A_27a )
% 5.55/5.81 & ? [V1487e7: $i] :
% 5.55/5.81 ( ( mem @ V1487e7 @ A_27a )
% 5.55/5.81 & ? [V1488e8: $i] :
% 5.55/5.81 ( ( mem @ V1488e8 @ A_27a )
% 5.55/5.81 & ? [V1489e9: $i] :
% 5.55/5.81 ( ( mem @ V1489e9 @ A_27a )
% 5.55/5.81 & ? [V1490e10: $i] :
% 5.55/5.81 ( ( mem @ V1490e10 @ A_27a )
% 5.55/5.81 & ? [V1491e11: $i] :
% 5.55/5.81 ( ( mem @ V1491e11 @ A_27a )
% 5.55/5.81 & ? [V1492e12: $i] :
% 5.55/5.81 ( ( mem @ V1492e12 @ A_27a )
% 5.55/5.81 & ? [V1493e13: $i] :
% 5.55/5.81 ( ( mem @ V1493e13 @ A_27a )
% 5.55/5.81 & ? [V1494e14: $i] :
% 5.55/5.81 ( ( mem @ V1494e14 @ A_27a )
% 5.55/5.81 & ? [V1495e15: $i] :
% 5.55/5.81 ( ( mem @ V1495e15 @ A_27a )
% 5.55/5.81 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1480l_27 ) )
% 5.55/5.81 = V1x )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1481e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1482e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1483e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1484e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1485e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1486e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1487e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1488e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1489e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1490e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1491e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1492e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1493e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1494e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1495e15 ) @ V1480l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.55/5.81 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.81 <=> ? [V1496l_27: $i] :
% 5.55/5.81 ( ( mem @ V1496l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V1497e1: $i] :
% 5.55/5.81 ( ( mem @ V1497e1 @ A_27a )
% 5.55/5.81 & ? [V1498e2: $i] :
% 5.55/5.81 ( ( mem @ V1498e2 @ A_27a )
% 5.55/5.81 & ? [V1499e3: $i] :
% 5.55/5.81 ( ( mem @ V1499e3 @ A_27a )
% 5.55/5.81 & ? [V1500e4: $i] :
% 5.55/5.81 ( ( mem @ V1500e4 @ A_27a )
% 5.55/5.81 & ? [V1501e5: $i] :
% 5.55/5.81 ( ( mem @ V1501e5 @ A_27a )
% 5.55/5.81 & ? [V1502e6: $i] :
% 5.55/5.81 ( ( mem @ V1502e6 @ A_27a )
% 5.55/5.81 & ? [V1503e7: $i] :
% 5.55/5.81 ( ( mem @ V1503e7 @ A_27a )
% 5.55/5.81 & ? [V1504e8: $i] :
% 5.55/5.81 ( ( mem @ V1504e8 @ A_27a )
% 5.55/5.81 & ? [V1505e9: $i] :
% 5.55/5.81 ( ( mem @ V1505e9 @ A_27a )
% 5.55/5.81 & ? [V1506e10: $i] :
% 5.55/5.81 ( ( mem @ V1506e10 @ A_27a )
% 5.55/5.81 & ? [V1507e11: $i] :
% 5.55/5.81 ( ( mem @ V1507e11 @ A_27a )
% 5.55/5.81 & ? [V1508e12: $i] :
% 5.55/5.81 ( ( mem @ V1508e12 @ A_27a )
% 5.55/5.81 & ? [V1509e13: $i] :
% 5.55/5.81 ( ( mem @ V1509e13 @ A_27a )
% 5.55/5.81 & ? [V1510e14: $i] :
% 5.55/5.81 ( ( mem @ V1510e14 @ A_27a )
% 5.55/5.81 & ? [V1511e15: $i] :
% 5.55/5.81 ( ( mem @ V1511e15 @ A_27a )
% 5.55/5.81 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1496l_27 ) )
% 5.55/5.81 = V1x )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1497e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1498e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1499e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1500e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1501e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1502e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1503e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1504e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1505e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1506e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1507e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1508e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1509e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1510e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1511e15 ) @ V1496l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.81 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) )
% 5.55/5.81 <=> ? [V1512l_27: $i] :
% 5.55/5.81 ( ( mem @ V1512l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V1513e1: $i] :
% 5.55/5.81 ( ( mem @ V1513e1 @ A_27a )
% 5.55/5.81 & ? [V1514e2: $i] :
% 5.55/5.81 ( ( mem @ V1514e2 @ A_27a )
% 5.55/5.81 & ? [V1515e3: $i] :
% 5.55/5.81 ( ( mem @ V1515e3 @ A_27a )
% 5.55/5.81 & ? [V1516e4: $i] :
% 5.55/5.81 ( ( mem @ V1516e4 @ A_27a )
% 5.55/5.81 & ? [V1517e5: $i] :
% 5.55/5.81 ( ( mem @ V1517e5 @ A_27a )
% 5.55/5.81 & ? [V1518e6: $i] :
% 5.55/5.81 ( ( mem @ V1518e6 @ A_27a )
% 5.55/5.81 & ? [V1519e7: $i] :
% 5.55/5.81 ( ( mem @ V1519e7 @ A_27a )
% 5.55/5.81 & ? [V1520e8: $i] :
% 5.55/5.81 ( ( mem @ V1520e8 @ A_27a )
% 5.55/5.81 & ? [V1521e9: $i] :
% 5.55/5.81 ( ( mem @ V1521e9 @ A_27a )
% 5.55/5.81 & ? [V1522e10: $i] :
% 5.55/5.81 ( ( mem @ V1522e10 @ A_27a )
% 5.55/5.81 & ? [V1523e11: $i] :
% 5.55/5.81 ( ( mem @ V1523e11 @ A_27a )
% 5.55/5.81 & ? [V1524e12: $i] :
% 5.55/5.81 ( ( mem @ V1524e12 @ A_27a )
% 5.55/5.81 & ? [V1525e13: $i] :
% 5.55/5.81 ( ( mem @ V1525e13 @ A_27a )
% 5.55/5.81 & ? [V1526e14: $i] :
% 5.55/5.81 ( ( mem @ V1526e14 @ A_27a )
% 5.55/5.81 & ? [V1527e15: $i] :
% 5.55/5.81 ( ( mem @ V1527e15 @ A_27a )
% 5.55/5.81 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1512l_27 ) )
% 5.55/5.81 = V1x )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1513e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1514e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1515e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1516e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1517e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1518e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1519e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1520e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1521e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1522e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1523e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1524e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1525e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1526e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1527e15 ) @ V1512l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.81 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.81 <=> ? [V1528l_27: $i] :
% 5.55/5.81 ( ( mem @ V1528l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V1529e1: $i] :
% 5.55/5.81 ( ( mem @ V1529e1 @ A_27a )
% 5.55/5.81 & ? [V1530e2: $i] :
% 5.55/5.81 ( ( mem @ V1530e2 @ A_27a )
% 5.55/5.81 & ? [V1531e3: $i] :
% 5.55/5.81 ( ( mem @ V1531e3 @ A_27a )
% 5.55/5.81 & ? [V1532e4: $i] :
% 5.55/5.81 ( ( mem @ V1532e4 @ A_27a )
% 5.55/5.81 & ? [V1533e5: $i] :
% 5.55/5.81 ( ( mem @ V1533e5 @ A_27a )
% 5.55/5.81 & ? [V1534e6: $i] :
% 5.55/5.81 ( ( mem @ V1534e6 @ A_27a )
% 5.55/5.81 & ? [V1535e7: $i] :
% 5.55/5.81 ( ( mem @ V1535e7 @ A_27a )
% 5.55/5.81 & ? [V1536e8: $i] :
% 5.55/5.81 ( ( mem @ V1536e8 @ A_27a )
% 5.55/5.81 & ? [V1537e9: $i] :
% 5.55/5.81 ( ( mem @ V1537e9 @ A_27a )
% 5.55/5.81 & ? [V1538e10: $i] :
% 5.55/5.81 ( ( mem @ V1538e10 @ A_27a )
% 5.55/5.81 & ? [V1539e11: $i] :
% 5.55/5.81 ( ( mem @ V1539e11 @ A_27a )
% 5.55/5.81 & ? [V1540e12: $i] :
% 5.55/5.81 ( ( mem @ V1540e12 @ A_27a )
% 5.55/5.81 & ? [V1541e13: $i] :
% 5.55/5.81 ( ( mem @ V1541e13 @ A_27a )
% 5.55/5.81 & ? [V1542e14: $i] :
% 5.55/5.81 ( ( mem @ V1542e14 @ A_27a )
% 5.55/5.81 & ? [V1543e15: $i] :
% 5.55/5.81 ( ( mem @ V1543e15 @ A_27a )
% 5.55/5.81 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1528l_27 ) )
% 5.55/5.81 = V1x )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1529e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1530e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1531e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1532e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1533e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1534e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1535e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1536e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1537e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1538e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1539e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1540e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1541e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1542e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1543e15 ) @ V1528l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.81 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.81 <=> ? [V1544e1: $i] :
% 5.55/5.81 ( ( mem @ V1544e1 @ A_27a )
% 5.55/5.81 & ? [V1545e2: $i] :
% 5.55/5.81 ( ( mem @ V1545e2 @ A_27a )
% 5.55/5.81 & ? [V1546e3: $i] :
% 5.55/5.81 ( ( mem @ V1546e3 @ A_27a )
% 5.55/5.81 & ? [V1547e4: $i] :
% 5.55/5.81 ( ( mem @ V1547e4 @ A_27a )
% 5.55/5.81 & ? [V1548e5: $i] :
% 5.55/5.81 ( ( mem @ V1548e5 @ A_27a )
% 5.55/5.81 & ? [V1549e6: $i] :
% 5.55/5.81 ( ( mem @ V1549e6 @ A_27a )
% 5.55/5.81 & ? [V1550e7: $i] :
% 5.55/5.81 ( ( mem @ V1550e7 @ A_27a )
% 5.55/5.81 & ? [V1551e8: $i] :
% 5.55/5.81 ( ( mem @ V1551e8 @ A_27a )
% 5.55/5.81 & ? [V1552e9: $i] :
% 5.55/5.81 ( ( mem @ V1552e9 @ A_27a )
% 5.55/5.81 & ? [V1553e10: $i] :
% 5.55/5.81 ( ( mem @ V1553e10 @ A_27a )
% 5.55/5.81 & ? [V1554e11: $i] :
% 5.55/5.81 ( ( mem @ V1554e11 @ A_27a )
% 5.55/5.81 & ? [V1555e12: $i] :
% 5.55/5.81 ( ( mem @ V1555e12 @ A_27a )
% 5.55/5.81 & ? [V1556e13: $i] :
% 5.55/5.81 ( ( mem @ V1556e13 @ A_27a )
% 5.55/5.81 & ? [V1557e14: $i] :
% 5.55/5.81 ( ( mem @ V1557e14 @ A_27a )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1544e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1545e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1546e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1547e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1548e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1549e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1550e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1551e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1552e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1553e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1554e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1555e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1556e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1557e14 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.81 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.81 <=> ? [V1558e1: $i] :
% 5.55/5.81 ( ( mem @ V1558e1 @ A_27a )
% 5.55/5.81 & ? [V1559e2: $i] :
% 5.55/5.81 ( ( mem @ V1559e2 @ A_27a )
% 5.55/5.81 & ? [V1560e3: $i] :
% 5.55/5.81 ( ( mem @ V1560e3 @ A_27a )
% 5.55/5.81 & ? [V1561e4: $i] :
% 5.55/5.81 ( ( mem @ V1561e4 @ A_27a )
% 5.55/5.81 & ? [V1562e5: $i] :
% 5.55/5.81 ( ( mem @ V1562e5 @ A_27a )
% 5.55/5.81 & ? [V1563e6: $i] :
% 5.55/5.81 ( ( mem @ V1563e6 @ A_27a )
% 5.55/5.81 & ? [V1564e7: $i] :
% 5.55/5.81 ( ( mem @ V1564e7 @ A_27a )
% 5.55/5.81 & ? [V1565e8: $i] :
% 5.55/5.81 ( ( mem @ V1565e8 @ A_27a )
% 5.55/5.81 & ? [V1566e9: $i] :
% 5.55/5.81 ( ( mem @ V1566e9 @ A_27a )
% 5.55/5.81 & ? [V1567e10: $i] :
% 5.55/5.81 ( ( mem @ V1567e10 @ A_27a )
% 5.55/5.81 & ? [V1568e11: $i] :
% 5.55/5.81 ( ( mem @ V1568e11 @ A_27a )
% 5.55/5.81 & ? [V1569e12: $i] :
% 5.55/5.81 ( ( mem @ V1569e12 @ A_27a )
% 5.55/5.81 & ? [V1570e13: $i] :
% 5.55/5.81 ( ( mem @ V1570e13 @ A_27a )
% 5.55/5.81 & ? [V1571e14: $i] :
% 5.55/5.81 ( ( mem @ V1571e14 @ A_27a )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1558e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1559e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1560e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1561e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1562e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1563e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1564e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1565e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1566e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1567e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1568e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1569e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1570e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1571e14 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.81 <=> ? [V1572l_27: $i] :
% 5.55/5.81 ( ( mem @ V1572l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V1573e1: $i] :
% 5.55/5.81 ( ( mem @ V1573e1 @ A_27a )
% 5.55/5.81 & ? [V1574e2: $i] :
% 5.55/5.81 ( ( mem @ V1574e2 @ A_27a )
% 5.55/5.81 & ? [V1575e3: $i] :
% 5.55/5.81 ( ( mem @ V1575e3 @ A_27a )
% 5.55/5.81 & ? [V1576e4: $i] :
% 5.55/5.81 ( ( mem @ V1576e4 @ A_27a )
% 5.55/5.81 & ? [V1577e5: $i] :
% 5.55/5.81 ( ( mem @ V1577e5 @ A_27a )
% 5.55/5.81 & ? [V1578e6: $i] :
% 5.55/5.81 ( ( mem @ V1578e6 @ A_27a )
% 5.55/5.81 & ? [V1579e7: $i] :
% 5.55/5.81 ( ( mem @ V1579e7 @ A_27a )
% 5.55/5.81 & ? [V1580e8: $i] :
% 5.55/5.81 ( ( mem @ V1580e8 @ A_27a )
% 5.55/5.81 & ? [V1581e9: $i] :
% 5.55/5.81 ( ( mem @ V1581e9 @ A_27a )
% 5.55/5.81 & ? [V1582e10: $i] :
% 5.55/5.81 ( ( mem @ V1582e10 @ A_27a )
% 5.55/5.81 & ? [V1583e11: $i] :
% 5.55/5.81 ( ( mem @ V1583e11 @ A_27a )
% 5.55/5.81 & ? [V1584e12: $i] :
% 5.55/5.81 ( ( mem @ V1584e12 @ A_27a )
% 5.55/5.81 & ? [V1585e13: $i] :
% 5.55/5.81 ( ( mem @ V1585e13 @ A_27a )
% 5.55/5.81 & ? [V1586e14: $i] :
% 5.55/5.81 ( ( mem @ V1586e14 @ A_27a )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1573e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1574e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1575e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1576e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1577e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1578e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1579e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1580e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1581e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1582e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1583e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1584e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1585e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1586e14 ) @ V1572l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.81 <=> ? [V1587l_27: $i] :
% 5.55/5.81 ( ( mem @ V1587l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V1588e1: $i] :
% 5.55/5.81 ( ( mem @ V1588e1 @ A_27a )
% 5.55/5.81 & ? [V1589e2: $i] :
% 5.55/5.81 ( ( mem @ V1589e2 @ A_27a )
% 5.55/5.81 & ? [V1590e3: $i] :
% 5.55/5.81 ( ( mem @ V1590e3 @ A_27a )
% 5.55/5.81 & ? [V1591e4: $i] :
% 5.55/5.81 ( ( mem @ V1591e4 @ A_27a )
% 5.55/5.81 & ? [V1592e5: $i] :
% 5.55/5.81 ( ( mem @ V1592e5 @ A_27a )
% 5.55/5.81 & ? [V1593e6: $i] :
% 5.55/5.81 ( ( mem @ V1593e6 @ A_27a )
% 5.55/5.81 & ? [V1594e7: $i] :
% 5.55/5.81 ( ( mem @ V1594e7 @ A_27a )
% 5.55/5.81 & ? [V1595e8: $i] :
% 5.55/5.81 ( ( mem @ V1595e8 @ A_27a )
% 5.55/5.81 & ? [V1596e9: $i] :
% 5.55/5.81 ( ( mem @ V1596e9 @ A_27a )
% 5.55/5.81 & ? [V1597e10: $i] :
% 5.55/5.81 ( ( mem @ V1597e10 @ A_27a )
% 5.55/5.81 & ? [V1598e11: $i] :
% 5.55/5.81 ( ( mem @ V1598e11 @ A_27a )
% 5.55/5.81 & ? [V1599e12: $i] :
% 5.55/5.81 ( ( mem @ V1599e12 @ A_27a )
% 5.55/5.81 & ? [V1600e13: $i] :
% 5.55/5.81 ( ( mem @ V1600e13 @ A_27a )
% 5.55/5.81 & ? [V1601e14: $i] :
% 5.55/5.81 ( ( mem @ V1601e14 @ A_27a )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1588e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1589e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1590e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1591e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1592e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1593e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1594e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1595e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1596e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1597e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1598e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1599e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1600e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1601e14 ) @ V1587l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.81 <=> ? [V1602l_27: $i] :
% 5.55/5.81 ( ( mem @ V1602l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V1603e1: $i] :
% 5.55/5.81 ( ( mem @ V1603e1 @ A_27a )
% 5.55/5.81 & ? [V1604e2: $i] :
% 5.55/5.81 ( ( mem @ V1604e2 @ A_27a )
% 5.55/5.81 & ? [V1605e3: $i] :
% 5.55/5.81 ( ( mem @ V1605e3 @ A_27a )
% 5.55/5.81 & ? [V1606e4: $i] :
% 5.55/5.81 ( ( mem @ V1606e4 @ A_27a )
% 5.55/5.81 & ? [V1607e5: $i] :
% 5.55/5.81 ( ( mem @ V1607e5 @ A_27a )
% 5.55/5.81 & ? [V1608e6: $i] :
% 5.55/5.81 ( ( mem @ V1608e6 @ A_27a )
% 5.55/5.81 & ? [V1609e7: $i] :
% 5.55/5.81 ( ( mem @ V1609e7 @ A_27a )
% 5.55/5.81 & ? [V1610e8: $i] :
% 5.55/5.81 ( ( mem @ V1610e8 @ A_27a )
% 5.55/5.81 & ? [V1611e9: $i] :
% 5.55/5.81 ( ( mem @ V1611e9 @ A_27a )
% 5.55/5.81 & ? [V1612e10: $i] :
% 5.55/5.81 ( ( mem @ V1612e10 @ A_27a )
% 5.55/5.81 & ? [V1613e11: $i] :
% 5.55/5.81 ( ( mem @ V1613e11 @ A_27a )
% 5.55/5.81 & ? [V1614e12: $i] :
% 5.55/5.81 ( ( mem @ V1614e12 @ A_27a )
% 5.55/5.81 & ? [V1615e13: $i] :
% 5.55/5.81 ( ( mem @ V1615e13 @ A_27a )
% 5.55/5.81 & ? [V1616e14: $i] :
% 5.55/5.81 ( ( mem @ V1616e14 @ A_27a )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1603e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1604e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1605e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1606e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1607e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1608e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1609e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1610e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1611e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1612e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1613e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1614e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1615e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1616e14 ) @ V1602l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.81 <=> ? [V1617l_27: $i] :
% 5.55/5.81 ( ( mem @ V1617l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V1618e1: $i] :
% 5.55/5.81 ( ( mem @ V1618e1 @ A_27a )
% 5.55/5.81 & ? [V1619e2: $i] :
% 5.55/5.81 ( ( mem @ V1619e2 @ A_27a )
% 5.55/5.81 & ? [V1620e3: $i] :
% 5.55/5.81 ( ( mem @ V1620e3 @ A_27a )
% 5.55/5.81 & ? [V1621e4: $i] :
% 5.55/5.81 ( ( mem @ V1621e4 @ A_27a )
% 5.55/5.81 & ? [V1622e5: $i] :
% 5.55/5.81 ( ( mem @ V1622e5 @ A_27a )
% 5.55/5.81 & ? [V1623e6: $i] :
% 5.55/5.81 ( ( mem @ V1623e6 @ A_27a )
% 5.55/5.81 & ? [V1624e7: $i] :
% 5.55/5.81 ( ( mem @ V1624e7 @ A_27a )
% 5.55/5.81 & ? [V1625e8: $i] :
% 5.55/5.81 ( ( mem @ V1625e8 @ A_27a )
% 5.55/5.81 & ? [V1626e9: $i] :
% 5.55/5.81 ( ( mem @ V1626e9 @ A_27a )
% 5.55/5.81 & ? [V1627e10: $i] :
% 5.55/5.81 ( ( mem @ V1627e10 @ A_27a )
% 5.55/5.81 & ? [V1628e11: $i] :
% 5.55/5.81 ( ( mem @ V1628e11 @ A_27a )
% 5.55/5.81 & ? [V1629e12: $i] :
% 5.55/5.81 ( ( mem @ V1629e12 @ A_27a )
% 5.55/5.81 & ? [V1630e13: $i] :
% 5.55/5.81 ( ( mem @ V1630e13 @ A_27a )
% 5.55/5.81 & ? [V1631e14: $i] :
% 5.55/5.81 ( ( mem @ V1631e14 @ A_27a )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1618e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1619e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1620e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1621e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1622e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1623e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1624e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1625e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1626e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1627e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1628e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1629e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1630e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1631e14 ) @ V1617l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.81 <=> ? [V1632l_27: $i] :
% 5.55/5.81 ( ( mem @ V1632l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V1633e1: $i] :
% 5.55/5.81 ( ( mem @ V1633e1 @ A_27a )
% 5.55/5.81 & ? [V1634e2: $i] :
% 5.55/5.81 ( ( mem @ V1634e2 @ A_27a )
% 5.55/5.81 & ? [V1635e3: $i] :
% 5.55/5.81 ( ( mem @ V1635e3 @ A_27a )
% 5.55/5.81 & ? [V1636e4: $i] :
% 5.55/5.81 ( ( mem @ V1636e4 @ A_27a )
% 5.55/5.81 & ? [V1637e5: $i] :
% 5.55/5.81 ( ( mem @ V1637e5 @ A_27a )
% 5.55/5.81 & ? [V1638e6: $i] :
% 5.55/5.81 ( ( mem @ V1638e6 @ A_27a )
% 5.55/5.81 & ? [V1639e7: $i] :
% 5.55/5.81 ( ( mem @ V1639e7 @ A_27a )
% 5.55/5.81 & ? [V1640e8: $i] :
% 5.55/5.81 ( ( mem @ V1640e8 @ A_27a )
% 5.55/5.81 & ? [V1641e9: $i] :
% 5.55/5.81 ( ( mem @ V1641e9 @ A_27a )
% 5.55/5.81 & ? [V1642e10: $i] :
% 5.55/5.81 ( ( mem @ V1642e10 @ A_27a )
% 5.55/5.81 & ? [V1643e11: $i] :
% 5.55/5.81 ( ( mem @ V1643e11 @ A_27a )
% 5.55/5.81 & ? [V1644e12: $i] :
% 5.55/5.81 ( ( mem @ V1644e12 @ A_27a )
% 5.55/5.81 & ? [V1645e13: $i] :
% 5.55/5.81 ( ( mem @ V1645e13 @ A_27a )
% 5.55/5.81 & ? [V1646e14: $i] :
% 5.55/5.81 ( ( mem @ V1646e14 @ A_27a )
% 5.55/5.81 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1632l_27 ) ) )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1633e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1634e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1635e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1636e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1637e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1638e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1639e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1640e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1641e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1642e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1643e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1644e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1645e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1646e14 ) @ V1632l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.81 <=> ? [V1647l_27: $i] :
% 5.55/5.81 ( ( mem @ V1647l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V1648e1: $i] :
% 5.55/5.81 ( ( mem @ V1648e1 @ A_27a )
% 5.55/5.81 & ? [V1649e2: $i] :
% 5.55/5.81 ( ( mem @ V1649e2 @ A_27a )
% 5.55/5.81 & ? [V1650e3: $i] :
% 5.55/5.81 ( ( mem @ V1650e3 @ A_27a )
% 5.55/5.81 & ? [V1651e4: $i] :
% 5.55/5.81 ( ( mem @ V1651e4 @ A_27a )
% 5.55/5.81 & ? [V1652e5: $i] :
% 5.55/5.81 ( ( mem @ V1652e5 @ A_27a )
% 5.55/5.81 & ? [V1653e6: $i] :
% 5.55/5.81 ( ( mem @ V1653e6 @ A_27a )
% 5.55/5.81 & ? [V1654e7: $i] :
% 5.55/5.81 ( ( mem @ V1654e7 @ A_27a )
% 5.55/5.81 & ? [V1655e8: $i] :
% 5.55/5.81 ( ( mem @ V1655e8 @ A_27a )
% 5.55/5.81 & ? [V1656e9: $i] :
% 5.55/5.81 ( ( mem @ V1656e9 @ A_27a )
% 5.55/5.81 & ? [V1657e10: $i] :
% 5.55/5.81 ( ( mem @ V1657e10 @ A_27a )
% 5.55/5.81 & ? [V1658e11: $i] :
% 5.55/5.81 ( ( mem @ V1658e11 @ A_27a )
% 5.55/5.81 & ? [V1659e12: $i] :
% 5.55/5.81 ( ( mem @ V1659e12 @ A_27a )
% 5.55/5.81 & ? [V1660e13: $i] :
% 5.55/5.81 ( ( mem @ V1660e13 @ A_27a )
% 5.55/5.81 & ? [V1661e14: $i] :
% 5.55/5.81 ( ( mem @ V1661e14 @ A_27a )
% 5.55/5.81 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1647l_27 ) ) )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1648e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1649e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1650e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1651e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1652e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1653e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1654e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1655e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1656e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1657e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1658e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1659e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1660e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1661e14 ) @ V1647l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.81 <=> ? [V1662l_27: $i] :
% 5.55/5.81 ( ( mem @ V1662l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V1663e1: $i] :
% 5.55/5.81 ( ( mem @ V1663e1 @ A_27a )
% 5.55/5.81 & ? [V1664e2: $i] :
% 5.55/5.81 ( ( mem @ V1664e2 @ A_27a )
% 5.55/5.81 & ? [V1665e3: $i] :
% 5.55/5.81 ( ( mem @ V1665e3 @ A_27a )
% 5.55/5.81 & ? [V1666e4: $i] :
% 5.55/5.81 ( ( mem @ V1666e4 @ A_27a )
% 5.55/5.81 & ? [V1667e5: $i] :
% 5.55/5.81 ( ( mem @ V1667e5 @ A_27a )
% 5.55/5.81 & ? [V1668e6: $i] :
% 5.55/5.81 ( ( mem @ V1668e6 @ A_27a )
% 5.55/5.81 & ? [V1669e7: $i] :
% 5.55/5.81 ( ( mem @ V1669e7 @ A_27a )
% 5.55/5.81 & ? [V1670e8: $i] :
% 5.55/5.81 ( ( mem @ V1670e8 @ A_27a )
% 5.55/5.81 & ? [V1671e9: $i] :
% 5.55/5.81 ( ( mem @ V1671e9 @ A_27a )
% 5.55/5.81 & ? [V1672e10: $i] :
% 5.55/5.81 ( ( mem @ V1672e10 @ A_27a )
% 5.55/5.81 & ? [V1673e11: $i] :
% 5.55/5.81 ( ( mem @ V1673e11 @ A_27a )
% 5.55/5.81 & ? [V1674e12: $i] :
% 5.55/5.81 ( ( mem @ V1674e12 @ A_27a )
% 5.55/5.81 & ? [V1675e13: $i] :
% 5.55/5.81 ( ( mem @ V1675e13 @ A_27a )
% 5.55/5.81 & ? [V1676e14: $i] :
% 5.55/5.81 ( ( mem @ V1676e14 @ A_27a )
% 5.55/5.81 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1662l_27 ) ) )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1663e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1664e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1665e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1666e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1667e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1668e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1669e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1670e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1671e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1672e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1673e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1674e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1675e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1676e14 ) @ V1662l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.81 <=> ? [V1677l_27: $i] :
% 5.55/5.81 ( ( mem @ V1677l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V1678e1: $i] :
% 5.55/5.81 ( ( mem @ V1678e1 @ A_27a )
% 5.55/5.81 & ? [V1679e2: $i] :
% 5.55/5.81 ( ( mem @ V1679e2 @ A_27a )
% 5.55/5.81 & ? [V1680e3: $i] :
% 5.55/5.81 ( ( mem @ V1680e3 @ A_27a )
% 5.55/5.81 & ? [V1681e4: $i] :
% 5.55/5.81 ( ( mem @ V1681e4 @ A_27a )
% 5.55/5.81 & ? [V1682e5: $i] :
% 5.55/5.81 ( ( mem @ V1682e5 @ A_27a )
% 5.55/5.81 & ? [V1683e6: $i] :
% 5.55/5.81 ( ( mem @ V1683e6 @ A_27a )
% 5.55/5.81 & ? [V1684e7: $i] :
% 5.55/5.81 ( ( mem @ V1684e7 @ A_27a )
% 5.55/5.81 & ? [V1685e8: $i] :
% 5.55/5.81 ( ( mem @ V1685e8 @ A_27a )
% 5.55/5.81 & ? [V1686e9: $i] :
% 5.55/5.81 ( ( mem @ V1686e9 @ A_27a )
% 5.55/5.81 & ? [V1687e10: $i] :
% 5.55/5.81 ( ( mem @ V1687e10 @ A_27a )
% 5.55/5.81 & ? [V1688e11: $i] :
% 5.55/5.81 ( ( mem @ V1688e11 @ A_27a )
% 5.55/5.81 & ? [V1689e12: $i] :
% 5.55/5.81 ( ( mem @ V1689e12 @ A_27a )
% 5.55/5.81 & ? [V1690e13: $i] :
% 5.55/5.81 ( ( mem @ V1690e13 @ A_27a )
% 5.55/5.81 & ? [V1691e14: $i] :
% 5.55/5.81 ( ( mem @ V1691e14 @ A_27a )
% 5.55/5.81 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1677l_27 ) ) )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1678e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1679e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1680e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1681e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1682e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1683e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1684e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1685e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1686e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1687e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1688e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1689e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1690e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1691e14 ) @ V1677l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.81 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.81 <=> ? [V1692l_27: $i] :
% 5.55/5.81 ( ( mem @ V1692l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V1693e1: $i] :
% 5.55/5.81 ( ( mem @ V1693e1 @ A_27a )
% 5.55/5.81 & ? [V1694e2: $i] :
% 5.55/5.81 ( ( mem @ V1694e2 @ A_27a )
% 5.55/5.81 & ? [V1695e3: $i] :
% 5.55/5.81 ( ( mem @ V1695e3 @ A_27a )
% 5.55/5.81 & ? [V1696e4: $i] :
% 5.55/5.81 ( ( mem @ V1696e4 @ A_27a )
% 5.55/5.81 & ? [V1697e5: $i] :
% 5.55/5.81 ( ( mem @ V1697e5 @ A_27a )
% 5.55/5.81 & ? [V1698e6: $i] :
% 5.55/5.81 ( ( mem @ V1698e6 @ A_27a )
% 5.55/5.81 & ? [V1699e7: $i] :
% 5.55/5.81 ( ( mem @ V1699e7 @ A_27a )
% 5.55/5.81 & ? [V1700e8: $i] :
% 5.55/5.81 ( ( mem @ V1700e8 @ A_27a )
% 5.55/5.81 & ? [V1701e9: $i] :
% 5.55/5.81 ( ( mem @ V1701e9 @ A_27a )
% 5.55/5.81 & ? [V1702e10: $i] :
% 5.55/5.81 ( ( mem @ V1702e10 @ A_27a )
% 5.55/5.81 & ? [V1703e11: $i] :
% 5.55/5.81 ( ( mem @ V1703e11 @ A_27a )
% 5.55/5.81 & ? [V1704e12: $i] :
% 5.55/5.81 ( ( mem @ V1704e12 @ A_27a )
% 5.55/5.81 & ? [V1705e13: $i] :
% 5.55/5.81 ( ( mem @ V1705e13 @ A_27a )
% 5.55/5.81 & ? [V1706e14: $i] :
% 5.55/5.81 ( ( mem @ V1706e14 @ A_27a )
% 5.55/5.81 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1692l_27 ) )
% 5.55/5.81 = V1x )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1693e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1694e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1695e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1696e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1697e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1698e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1699e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1700e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1701e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1702e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1703e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1704e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1705e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1706e14 ) @ V1692l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.55/5.81 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.81 <=> ? [V1707l_27: $i] :
% 5.55/5.81 ( ( mem @ V1707l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V1708e1: $i] :
% 5.55/5.81 ( ( mem @ V1708e1 @ A_27a )
% 5.55/5.81 & ? [V1709e2: $i] :
% 5.55/5.81 ( ( mem @ V1709e2 @ A_27a )
% 5.55/5.81 & ? [V1710e3: $i] :
% 5.55/5.81 ( ( mem @ V1710e3 @ A_27a )
% 5.55/5.81 & ? [V1711e4: $i] :
% 5.55/5.81 ( ( mem @ V1711e4 @ A_27a )
% 5.55/5.81 & ? [V1712e5: $i] :
% 5.55/5.81 ( ( mem @ V1712e5 @ A_27a )
% 5.55/5.81 & ? [V1713e6: $i] :
% 5.55/5.81 ( ( mem @ V1713e6 @ A_27a )
% 5.55/5.81 & ? [V1714e7: $i] :
% 5.55/5.81 ( ( mem @ V1714e7 @ A_27a )
% 5.55/5.81 & ? [V1715e8: $i] :
% 5.55/5.81 ( ( mem @ V1715e8 @ A_27a )
% 5.55/5.81 & ? [V1716e9: $i] :
% 5.55/5.81 ( ( mem @ V1716e9 @ A_27a )
% 5.55/5.81 & ? [V1717e10: $i] :
% 5.55/5.81 ( ( mem @ V1717e10 @ A_27a )
% 5.55/5.81 & ? [V1718e11: $i] :
% 5.55/5.81 ( ( mem @ V1718e11 @ A_27a )
% 5.55/5.81 & ? [V1719e12: $i] :
% 5.55/5.81 ( ( mem @ V1719e12 @ A_27a )
% 5.55/5.81 & ? [V1720e13: $i] :
% 5.55/5.81 ( ( mem @ V1720e13 @ A_27a )
% 5.55/5.81 & ? [V1721e14: $i] :
% 5.55/5.81 ( ( mem @ V1721e14 @ A_27a )
% 5.55/5.81 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1707l_27 ) )
% 5.55/5.81 = V1x )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1708e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1709e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1710e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1711e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1712e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1713e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1714e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1715e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1716e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1717e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1718e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1719e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1720e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1721e14 ) @ V1707l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.81 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.81 <=> ? [V1722l_27: $i] :
% 5.55/5.81 ( ( mem @ V1722l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V1723e1: $i] :
% 5.55/5.81 ( ( mem @ V1723e1 @ A_27a )
% 5.55/5.81 & ? [V1724e2: $i] :
% 5.55/5.81 ( ( mem @ V1724e2 @ A_27a )
% 5.55/5.81 & ? [V1725e3: $i] :
% 5.55/5.81 ( ( mem @ V1725e3 @ A_27a )
% 5.55/5.81 & ? [V1726e4: $i] :
% 5.55/5.81 ( ( mem @ V1726e4 @ A_27a )
% 5.55/5.81 & ? [V1727e5: $i] :
% 5.55/5.81 ( ( mem @ V1727e5 @ A_27a )
% 5.55/5.81 & ? [V1728e6: $i] :
% 5.55/5.81 ( ( mem @ V1728e6 @ A_27a )
% 5.55/5.81 & ? [V1729e7: $i] :
% 5.55/5.81 ( ( mem @ V1729e7 @ A_27a )
% 5.55/5.81 & ? [V1730e8: $i] :
% 5.55/5.81 ( ( mem @ V1730e8 @ A_27a )
% 5.55/5.81 & ? [V1731e9: $i] :
% 5.55/5.81 ( ( mem @ V1731e9 @ A_27a )
% 5.55/5.81 & ? [V1732e10: $i] :
% 5.55/5.81 ( ( mem @ V1732e10 @ A_27a )
% 5.55/5.81 & ? [V1733e11: $i] :
% 5.55/5.81 ( ( mem @ V1733e11 @ A_27a )
% 5.55/5.81 & ? [V1734e12: $i] :
% 5.55/5.81 ( ( mem @ V1734e12 @ A_27a )
% 5.55/5.81 & ? [V1735e13: $i] :
% 5.55/5.81 ( ( mem @ V1735e13 @ A_27a )
% 5.55/5.81 & ? [V1736e14: $i] :
% 5.55/5.81 ( ( mem @ V1736e14 @ A_27a )
% 5.55/5.81 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1722l_27 ) )
% 5.55/5.81 = V1x )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1723e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1724e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1725e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1726e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1727e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1728e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1729e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1730e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1731e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1732e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1733e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1734e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1735e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1736e14 ) @ V1722l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.81 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.81 <=> ? [V1737l_27: $i] :
% 5.55/5.81 ( ( mem @ V1737l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V1738e1: $i] :
% 5.55/5.81 ( ( mem @ V1738e1 @ A_27a )
% 5.55/5.81 & ? [V1739e2: $i] :
% 5.55/5.81 ( ( mem @ V1739e2 @ A_27a )
% 5.55/5.81 & ? [V1740e3: $i] :
% 5.55/5.81 ( ( mem @ V1740e3 @ A_27a )
% 5.55/5.81 & ? [V1741e4: $i] :
% 5.55/5.81 ( ( mem @ V1741e4 @ A_27a )
% 5.55/5.81 & ? [V1742e5: $i] :
% 5.55/5.81 ( ( mem @ V1742e5 @ A_27a )
% 5.55/5.81 & ? [V1743e6: $i] :
% 5.55/5.81 ( ( mem @ V1743e6 @ A_27a )
% 5.55/5.81 & ? [V1744e7: $i] :
% 5.55/5.81 ( ( mem @ V1744e7 @ A_27a )
% 5.55/5.81 & ? [V1745e8: $i] :
% 5.55/5.81 ( ( mem @ V1745e8 @ A_27a )
% 5.55/5.81 & ? [V1746e9: $i] :
% 5.55/5.81 ( ( mem @ V1746e9 @ A_27a )
% 5.55/5.81 & ? [V1747e10: $i] :
% 5.55/5.81 ( ( mem @ V1747e10 @ A_27a )
% 5.55/5.81 & ? [V1748e11: $i] :
% 5.55/5.81 ( ( mem @ V1748e11 @ A_27a )
% 5.55/5.81 & ? [V1749e12: $i] :
% 5.55/5.81 ( ( mem @ V1749e12 @ A_27a )
% 5.55/5.81 & ? [V1750e13: $i] :
% 5.55/5.81 ( ( mem @ V1750e13 @ A_27a )
% 5.55/5.81 & ? [V1751e14: $i] :
% 5.55/5.81 ( ( mem @ V1751e14 @ A_27a )
% 5.55/5.81 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1737l_27 ) )
% 5.55/5.81 = V1x )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1738e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1739e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1740e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1741e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1742e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1743e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1744e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1745e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1746e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1747e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1748e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1749e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1750e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1751e14 ) @ V1737l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.81 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.81 <=> ? [V1752e1: $i] :
% 5.55/5.81 ( ( mem @ V1752e1 @ A_27a )
% 5.55/5.81 & ? [V1753e2: $i] :
% 5.55/5.81 ( ( mem @ V1753e2 @ A_27a )
% 5.55/5.81 & ? [V1754e3: $i] :
% 5.55/5.81 ( ( mem @ V1754e3 @ A_27a )
% 5.55/5.81 & ? [V1755e4: $i] :
% 5.55/5.81 ( ( mem @ V1755e4 @ A_27a )
% 5.55/5.81 & ? [V1756e5: $i] :
% 5.55/5.81 ( ( mem @ V1756e5 @ A_27a )
% 5.55/5.81 & ? [V1757e6: $i] :
% 5.55/5.81 ( ( mem @ V1757e6 @ A_27a )
% 5.55/5.81 & ? [V1758e7: $i] :
% 5.55/5.81 ( ( mem @ V1758e7 @ A_27a )
% 5.55/5.81 & ? [V1759e8: $i] :
% 5.55/5.81 ( ( mem @ V1759e8 @ A_27a )
% 5.55/5.81 & ? [V1760e9: $i] :
% 5.55/5.81 ( ( mem @ V1760e9 @ A_27a )
% 5.55/5.81 & ? [V1761e10: $i] :
% 5.55/5.81 ( ( mem @ V1761e10 @ A_27a )
% 5.55/5.81 & ? [V1762e11: $i] :
% 5.55/5.81 ( ( mem @ V1762e11 @ A_27a )
% 5.55/5.81 & ? [V1763e12: $i] :
% 5.55/5.81 ( ( mem @ V1763e12 @ A_27a )
% 5.55/5.81 & ? [V1764e13: $i] :
% 5.55/5.81 ( ( mem @ V1764e13 @ A_27a )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1752e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1753e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1754e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1755e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1756e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1757e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1758e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1759e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1760e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1761e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1762e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1763e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1764e13 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.81 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.81 <=> ? [V1765e1: $i] :
% 5.55/5.81 ( ( mem @ V1765e1 @ A_27a )
% 5.55/5.81 & ? [V1766e2: $i] :
% 5.55/5.81 ( ( mem @ V1766e2 @ A_27a )
% 5.55/5.81 & ? [V1767e3: $i] :
% 5.55/5.81 ( ( mem @ V1767e3 @ A_27a )
% 5.55/5.81 & ? [V1768e4: $i] :
% 5.55/5.81 ( ( mem @ V1768e4 @ A_27a )
% 5.55/5.81 & ? [V1769e5: $i] :
% 5.55/5.81 ( ( mem @ V1769e5 @ A_27a )
% 5.55/5.81 & ? [V1770e6: $i] :
% 5.55/5.81 ( ( mem @ V1770e6 @ A_27a )
% 5.55/5.81 & ? [V1771e7: $i] :
% 5.55/5.81 ( ( mem @ V1771e7 @ A_27a )
% 5.55/5.81 & ? [V1772e8: $i] :
% 5.55/5.81 ( ( mem @ V1772e8 @ A_27a )
% 5.55/5.81 & ? [V1773e9: $i] :
% 5.55/5.81 ( ( mem @ V1773e9 @ A_27a )
% 5.55/5.81 & ? [V1774e10: $i] :
% 5.55/5.81 ( ( mem @ V1774e10 @ A_27a )
% 5.55/5.81 & ? [V1775e11: $i] :
% 5.55/5.81 ( ( mem @ V1775e11 @ A_27a )
% 5.55/5.81 & ? [V1776e12: $i] :
% 5.55/5.81 ( ( mem @ V1776e12 @ A_27a )
% 5.55/5.81 & ? [V1777e13: $i] :
% 5.55/5.81 ( ( mem @ V1777e13 @ A_27a )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1765e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1766e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1767e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1768e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1769e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1770e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1771e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1772e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1773e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1774e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1775e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1776e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1777e13 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.81 <=> ? [V1778l_27: $i] :
% 5.55/5.81 ( ( mem @ V1778l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V1779e1: $i] :
% 5.55/5.81 ( ( mem @ V1779e1 @ A_27a )
% 5.55/5.81 & ? [V1780e2: $i] :
% 5.55/5.81 ( ( mem @ V1780e2 @ A_27a )
% 5.55/5.81 & ? [V1781e3: $i] :
% 5.55/5.81 ( ( mem @ V1781e3 @ A_27a )
% 5.55/5.81 & ? [V1782e4: $i] :
% 5.55/5.81 ( ( mem @ V1782e4 @ A_27a )
% 5.55/5.81 & ? [V1783e5: $i] :
% 5.55/5.81 ( ( mem @ V1783e5 @ A_27a )
% 5.55/5.81 & ? [V1784e6: $i] :
% 5.55/5.81 ( ( mem @ V1784e6 @ A_27a )
% 5.55/5.81 & ? [V1785e7: $i] :
% 5.55/5.81 ( ( mem @ V1785e7 @ A_27a )
% 5.55/5.81 & ? [V1786e8: $i] :
% 5.55/5.81 ( ( mem @ V1786e8 @ A_27a )
% 5.55/5.81 & ? [V1787e9: $i] :
% 5.55/5.81 ( ( mem @ V1787e9 @ A_27a )
% 5.55/5.81 & ? [V1788e10: $i] :
% 5.55/5.81 ( ( mem @ V1788e10 @ A_27a )
% 5.55/5.81 & ? [V1789e11: $i] :
% 5.55/5.81 ( ( mem @ V1789e11 @ A_27a )
% 5.55/5.81 & ? [V1790e12: $i] :
% 5.55/5.81 ( ( mem @ V1790e12 @ A_27a )
% 5.55/5.81 & ? [V1791e13: $i] :
% 5.55/5.81 ( ( mem @ V1791e13 @ A_27a )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1779e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1780e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1781e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1782e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1783e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1784e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1785e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1786e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1787e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1788e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1789e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1790e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1791e13 ) @ V1778l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.81 <=> ? [V1792l_27: $i] :
% 5.55/5.81 ( ( mem @ V1792l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V1793e1: $i] :
% 5.55/5.81 ( ( mem @ V1793e1 @ A_27a )
% 5.55/5.81 & ? [V1794e2: $i] :
% 5.55/5.81 ( ( mem @ V1794e2 @ A_27a )
% 5.55/5.81 & ? [V1795e3: $i] :
% 5.55/5.81 ( ( mem @ V1795e3 @ A_27a )
% 5.55/5.81 & ? [V1796e4: $i] :
% 5.55/5.81 ( ( mem @ V1796e4 @ A_27a )
% 5.55/5.81 & ? [V1797e5: $i] :
% 5.55/5.81 ( ( mem @ V1797e5 @ A_27a )
% 5.55/5.81 & ? [V1798e6: $i] :
% 5.55/5.81 ( ( mem @ V1798e6 @ A_27a )
% 5.55/5.81 & ? [V1799e7: $i] :
% 5.55/5.81 ( ( mem @ V1799e7 @ A_27a )
% 5.55/5.81 & ? [V1800e8: $i] :
% 5.55/5.81 ( ( mem @ V1800e8 @ A_27a )
% 5.55/5.81 & ? [V1801e9: $i] :
% 5.55/5.81 ( ( mem @ V1801e9 @ A_27a )
% 5.55/5.81 & ? [V1802e10: $i] :
% 5.55/5.81 ( ( mem @ V1802e10 @ A_27a )
% 5.55/5.81 & ? [V1803e11: $i] :
% 5.55/5.81 ( ( mem @ V1803e11 @ A_27a )
% 5.55/5.81 & ? [V1804e12: $i] :
% 5.55/5.81 ( ( mem @ V1804e12 @ A_27a )
% 5.55/5.81 & ? [V1805e13: $i] :
% 5.55/5.81 ( ( mem @ V1805e13 @ A_27a )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1793e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1794e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1795e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1796e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1797e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1798e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1799e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1800e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1801e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1802e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1803e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1804e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1805e13 ) @ V1792l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.81 <=> ? [V1806l_27: $i] :
% 5.55/5.81 ( ( mem @ V1806l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V1807e1: $i] :
% 5.55/5.81 ( ( mem @ V1807e1 @ A_27a )
% 5.55/5.81 & ? [V1808e2: $i] :
% 5.55/5.81 ( ( mem @ V1808e2 @ A_27a )
% 5.55/5.81 & ? [V1809e3: $i] :
% 5.55/5.81 ( ( mem @ V1809e3 @ A_27a )
% 5.55/5.81 & ? [V1810e4: $i] :
% 5.55/5.81 ( ( mem @ V1810e4 @ A_27a )
% 5.55/5.81 & ? [V1811e5: $i] :
% 5.55/5.81 ( ( mem @ V1811e5 @ A_27a )
% 5.55/5.81 & ? [V1812e6: $i] :
% 5.55/5.81 ( ( mem @ V1812e6 @ A_27a )
% 5.55/5.81 & ? [V1813e7: $i] :
% 5.55/5.81 ( ( mem @ V1813e7 @ A_27a )
% 5.55/5.81 & ? [V1814e8: $i] :
% 5.55/5.81 ( ( mem @ V1814e8 @ A_27a )
% 5.55/5.81 & ? [V1815e9: $i] :
% 5.55/5.81 ( ( mem @ V1815e9 @ A_27a )
% 5.55/5.81 & ? [V1816e10: $i] :
% 5.55/5.81 ( ( mem @ V1816e10 @ A_27a )
% 5.55/5.81 & ? [V1817e11: $i] :
% 5.55/5.81 ( ( mem @ V1817e11 @ A_27a )
% 5.55/5.81 & ? [V1818e12: $i] :
% 5.55/5.81 ( ( mem @ V1818e12 @ A_27a )
% 5.55/5.81 & ? [V1819e13: $i] :
% 5.55/5.81 ( ( mem @ V1819e13 @ A_27a )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1807e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1808e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1809e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1810e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1811e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1812e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1813e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1814e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1815e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1816e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1817e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1818e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1819e13 ) @ V1806l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.81 <=> ? [V1820l_27: $i] :
% 5.55/5.81 ( ( mem @ V1820l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V1821e1: $i] :
% 5.55/5.81 ( ( mem @ V1821e1 @ A_27a )
% 5.55/5.81 & ? [V1822e2: $i] :
% 5.55/5.81 ( ( mem @ V1822e2 @ A_27a )
% 5.55/5.81 & ? [V1823e3: $i] :
% 5.55/5.81 ( ( mem @ V1823e3 @ A_27a )
% 5.55/5.81 & ? [V1824e4: $i] :
% 5.55/5.81 ( ( mem @ V1824e4 @ A_27a )
% 5.55/5.81 & ? [V1825e5: $i] :
% 5.55/5.81 ( ( mem @ V1825e5 @ A_27a )
% 5.55/5.81 & ? [V1826e6: $i] :
% 5.55/5.81 ( ( mem @ V1826e6 @ A_27a )
% 5.55/5.81 & ? [V1827e7: $i] :
% 5.55/5.81 ( ( mem @ V1827e7 @ A_27a )
% 5.55/5.81 & ? [V1828e8: $i] :
% 5.55/5.81 ( ( mem @ V1828e8 @ A_27a )
% 5.55/5.81 & ? [V1829e9: $i] :
% 5.55/5.81 ( ( mem @ V1829e9 @ A_27a )
% 5.55/5.81 & ? [V1830e10: $i] :
% 5.55/5.81 ( ( mem @ V1830e10 @ A_27a )
% 5.55/5.81 & ? [V1831e11: $i] :
% 5.55/5.81 ( ( mem @ V1831e11 @ A_27a )
% 5.55/5.81 & ? [V1832e12: $i] :
% 5.55/5.81 ( ( mem @ V1832e12 @ A_27a )
% 5.55/5.81 & ? [V1833e13: $i] :
% 5.55/5.81 ( ( mem @ V1833e13 @ A_27a )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1821e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1822e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1823e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1824e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1825e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1826e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1827e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1828e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1829e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1830e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1831e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1832e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1833e13 ) @ V1820l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.81 <=> ? [V1834l_27: $i] :
% 5.55/5.81 ( ( mem @ V1834l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V1835e1: $i] :
% 5.55/5.81 ( ( mem @ V1835e1 @ A_27a )
% 5.55/5.81 & ? [V1836e2: $i] :
% 5.55/5.81 ( ( mem @ V1836e2 @ A_27a )
% 5.55/5.81 & ? [V1837e3: $i] :
% 5.55/5.81 ( ( mem @ V1837e3 @ A_27a )
% 5.55/5.81 & ? [V1838e4: $i] :
% 5.55/5.81 ( ( mem @ V1838e4 @ A_27a )
% 5.55/5.81 & ? [V1839e5: $i] :
% 5.55/5.81 ( ( mem @ V1839e5 @ A_27a )
% 5.55/5.81 & ? [V1840e6: $i] :
% 5.55/5.81 ( ( mem @ V1840e6 @ A_27a )
% 5.55/5.81 & ? [V1841e7: $i] :
% 5.55/5.81 ( ( mem @ V1841e7 @ A_27a )
% 5.55/5.81 & ? [V1842e8: $i] :
% 5.55/5.81 ( ( mem @ V1842e8 @ A_27a )
% 5.55/5.81 & ? [V1843e9: $i] :
% 5.55/5.81 ( ( mem @ V1843e9 @ A_27a )
% 5.55/5.81 & ? [V1844e10: $i] :
% 5.55/5.81 ( ( mem @ V1844e10 @ A_27a )
% 5.55/5.81 & ? [V1845e11: $i] :
% 5.55/5.81 ( ( mem @ V1845e11 @ A_27a )
% 5.55/5.81 & ? [V1846e12: $i] :
% 5.55/5.81 ( ( mem @ V1846e12 @ A_27a )
% 5.55/5.81 & ? [V1847e13: $i] :
% 5.55/5.81 ( ( mem @ V1847e13 @ A_27a )
% 5.55/5.81 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1834l_27 ) ) )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1835e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1836e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1837e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1838e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1839e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1840e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1841e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1842e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1843e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1844e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1845e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1846e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1847e13 ) @ V1834l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.81 <=> ? [V1848l_27: $i] :
% 5.55/5.81 ( ( mem @ V1848l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V1849e1: $i] :
% 5.55/5.81 ( ( mem @ V1849e1 @ A_27a )
% 5.55/5.81 & ? [V1850e2: $i] :
% 5.55/5.81 ( ( mem @ V1850e2 @ A_27a )
% 5.55/5.81 & ? [V1851e3: $i] :
% 5.55/5.81 ( ( mem @ V1851e3 @ A_27a )
% 5.55/5.81 & ? [V1852e4: $i] :
% 5.55/5.81 ( ( mem @ V1852e4 @ A_27a )
% 5.55/5.81 & ? [V1853e5: $i] :
% 5.55/5.81 ( ( mem @ V1853e5 @ A_27a )
% 5.55/5.81 & ? [V1854e6: $i] :
% 5.55/5.81 ( ( mem @ V1854e6 @ A_27a )
% 5.55/5.81 & ? [V1855e7: $i] :
% 5.55/5.81 ( ( mem @ V1855e7 @ A_27a )
% 5.55/5.81 & ? [V1856e8: $i] :
% 5.55/5.81 ( ( mem @ V1856e8 @ A_27a )
% 5.55/5.81 & ? [V1857e9: $i] :
% 5.55/5.81 ( ( mem @ V1857e9 @ A_27a )
% 5.55/5.81 & ? [V1858e10: $i] :
% 5.55/5.81 ( ( mem @ V1858e10 @ A_27a )
% 5.55/5.81 & ? [V1859e11: $i] :
% 5.55/5.81 ( ( mem @ V1859e11 @ A_27a )
% 5.55/5.81 & ? [V1860e12: $i] :
% 5.55/5.81 ( ( mem @ V1860e12 @ A_27a )
% 5.55/5.81 & ? [V1861e13: $i] :
% 5.55/5.81 ( ( mem @ V1861e13 @ A_27a )
% 5.55/5.81 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1848l_27 ) ) )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1849e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1850e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1851e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1852e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1853e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1854e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1855e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1856e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1857e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1858e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1859e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1860e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1861e13 ) @ V1848l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.81 <=> ? [V1862l_27: $i] :
% 5.55/5.81 ( ( mem @ V1862l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V1863e1: $i] :
% 5.55/5.81 ( ( mem @ V1863e1 @ A_27a )
% 5.55/5.81 & ? [V1864e2: $i] :
% 5.55/5.81 ( ( mem @ V1864e2 @ A_27a )
% 5.55/5.81 & ? [V1865e3: $i] :
% 5.55/5.81 ( ( mem @ V1865e3 @ A_27a )
% 5.55/5.81 & ? [V1866e4: $i] :
% 5.55/5.81 ( ( mem @ V1866e4 @ A_27a )
% 5.55/5.81 & ? [V1867e5: $i] :
% 5.55/5.81 ( ( mem @ V1867e5 @ A_27a )
% 5.55/5.81 & ? [V1868e6: $i] :
% 5.55/5.81 ( ( mem @ V1868e6 @ A_27a )
% 5.55/5.81 & ? [V1869e7: $i] :
% 5.55/5.81 ( ( mem @ V1869e7 @ A_27a )
% 5.55/5.81 & ? [V1870e8: $i] :
% 5.55/5.81 ( ( mem @ V1870e8 @ A_27a )
% 5.55/5.81 & ? [V1871e9: $i] :
% 5.55/5.81 ( ( mem @ V1871e9 @ A_27a )
% 5.55/5.81 & ? [V1872e10: $i] :
% 5.55/5.81 ( ( mem @ V1872e10 @ A_27a )
% 5.55/5.81 & ? [V1873e11: $i] :
% 5.55/5.81 ( ( mem @ V1873e11 @ A_27a )
% 5.55/5.81 & ? [V1874e12: $i] :
% 5.55/5.81 ( ( mem @ V1874e12 @ A_27a )
% 5.55/5.81 & ? [V1875e13: $i] :
% 5.55/5.81 ( ( mem @ V1875e13 @ A_27a )
% 5.55/5.81 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1862l_27 ) ) )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1863e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1864e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1865e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1866e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1867e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1868e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1869e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1870e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1871e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1872e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1873e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1874e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1875e13 ) @ V1862l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.81 <=> ? [V1876l_27: $i] :
% 5.55/5.81 ( ( mem @ V1876l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V1877e1: $i] :
% 5.55/5.81 ( ( mem @ V1877e1 @ A_27a )
% 5.55/5.81 & ? [V1878e2: $i] :
% 5.55/5.81 ( ( mem @ V1878e2 @ A_27a )
% 5.55/5.81 & ? [V1879e3: $i] :
% 5.55/5.81 ( ( mem @ V1879e3 @ A_27a )
% 5.55/5.81 & ? [V1880e4: $i] :
% 5.55/5.81 ( ( mem @ V1880e4 @ A_27a )
% 5.55/5.81 & ? [V1881e5: $i] :
% 5.55/5.81 ( ( mem @ V1881e5 @ A_27a )
% 5.55/5.81 & ? [V1882e6: $i] :
% 5.55/5.81 ( ( mem @ V1882e6 @ A_27a )
% 5.55/5.81 & ? [V1883e7: $i] :
% 5.55/5.81 ( ( mem @ V1883e7 @ A_27a )
% 5.55/5.81 & ? [V1884e8: $i] :
% 5.55/5.81 ( ( mem @ V1884e8 @ A_27a )
% 5.55/5.81 & ? [V1885e9: $i] :
% 5.55/5.81 ( ( mem @ V1885e9 @ A_27a )
% 5.55/5.81 & ? [V1886e10: $i] :
% 5.55/5.81 ( ( mem @ V1886e10 @ A_27a )
% 5.55/5.81 & ? [V1887e11: $i] :
% 5.55/5.81 ( ( mem @ V1887e11 @ A_27a )
% 5.55/5.81 & ? [V1888e12: $i] :
% 5.55/5.81 ( ( mem @ V1888e12 @ A_27a )
% 5.55/5.81 & ? [V1889e13: $i] :
% 5.55/5.81 ( ( mem @ V1889e13 @ A_27a )
% 5.55/5.81 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1876l_27 ) ) )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1877e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1878e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1879e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1880e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1881e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1882e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1883e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1884e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1885e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1886e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1887e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1888e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1889e13 ) @ V1876l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.81 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.81 <=> ? [V1890l_27: $i] :
% 5.55/5.81 ( ( mem @ V1890l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V1891e1: $i] :
% 5.55/5.81 ( ( mem @ V1891e1 @ A_27a )
% 5.55/5.81 & ? [V1892e2: $i] :
% 5.55/5.81 ( ( mem @ V1892e2 @ A_27a )
% 5.55/5.81 & ? [V1893e3: $i] :
% 5.55/5.81 ( ( mem @ V1893e3 @ A_27a )
% 5.55/5.81 & ? [V1894e4: $i] :
% 5.55/5.81 ( ( mem @ V1894e4 @ A_27a )
% 5.55/5.81 & ? [V1895e5: $i] :
% 5.55/5.81 ( ( mem @ V1895e5 @ A_27a )
% 5.55/5.81 & ? [V1896e6: $i] :
% 5.55/5.81 ( ( mem @ V1896e6 @ A_27a )
% 5.55/5.81 & ? [V1897e7: $i] :
% 5.55/5.81 ( ( mem @ V1897e7 @ A_27a )
% 5.55/5.81 & ? [V1898e8: $i] :
% 5.55/5.81 ( ( mem @ V1898e8 @ A_27a )
% 5.55/5.81 & ? [V1899e9: $i] :
% 5.55/5.81 ( ( mem @ V1899e9 @ A_27a )
% 5.55/5.81 & ? [V1900e10: $i] :
% 5.55/5.81 ( ( mem @ V1900e10 @ A_27a )
% 5.55/5.81 & ? [V1901e11: $i] :
% 5.55/5.81 ( ( mem @ V1901e11 @ A_27a )
% 5.55/5.81 & ? [V1902e12: $i] :
% 5.55/5.81 ( ( mem @ V1902e12 @ A_27a )
% 5.55/5.81 & ? [V1903e13: $i] :
% 5.55/5.81 ( ( mem @ V1903e13 @ A_27a )
% 5.55/5.81 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1890l_27 ) )
% 5.55/5.81 = V1x )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1891e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1892e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1893e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1894e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1895e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1896e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1897e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1898e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1899e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1900e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1901e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1902e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1903e13 ) @ V1890l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.55/5.81 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.81 <=> ? [V1904l_27: $i] :
% 5.55/5.81 ( ( mem @ V1904l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V1905e1: $i] :
% 5.55/5.81 ( ( mem @ V1905e1 @ A_27a )
% 5.55/5.81 & ? [V1906e2: $i] :
% 5.55/5.81 ( ( mem @ V1906e2 @ A_27a )
% 5.55/5.81 & ? [V1907e3: $i] :
% 5.55/5.81 ( ( mem @ V1907e3 @ A_27a )
% 5.55/5.81 & ? [V1908e4: $i] :
% 5.55/5.81 ( ( mem @ V1908e4 @ A_27a )
% 5.55/5.81 & ? [V1909e5: $i] :
% 5.55/5.81 ( ( mem @ V1909e5 @ A_27a )
% 5.55/5.81 & ? [V1910e6: $i] :
% 5.55/5.81 ( ( mem @ V1910e6 @ A_27a )
% 5.55/5.81 & ? [V1911e7: $i] :
% 5.55/5.81 ( ( mem @ V1911e7 @ A_27a )
% 5.55/5.81 & ? [V1912e8: $i] :
% 5.55/5.81 ( ( mem @ V1912e8 @ A_27a )
% 5.55/5.81 & ? [V1913e9: $i] :
% 5.55/5.81 ( ( mem @ V1913e9 @ A_27a )
% 5.55/5.81 & ? [V1914e10: $i] :
% 5.55/5.81 ( ( mem @ V1914e10 @ A_27a )
% 5.55/5.81 & ? [V1915e11: $i] :
% 5.55/5.81 ( ( mem @ V1915e11 @ A_27a )
% 5.55/5.81 & ? [V1916e12: $i] :
% 5.55/5.81 ( ( mem @ V1916e12 @ A_27a )
% 5.55/5.81 & ? [V1917e13: $i] :
% 5.55/5.81 ( ( mem @ V1917e13 @ A_27a )
% 5.55/5.81 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1904l_27 ) )
% 5.55/5.81 = V1x )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1905e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1906e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1907e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1908e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1909e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1910e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1911e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1912e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1913e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1914e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1915e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1916e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1917e13 ) @ V1904l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.81 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.81 <=> ? [V1918l_27: $i] :
% 5.55/5.81 ( ( mem @ V1918l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V1919e1: $i] :
% 5.55/5.81 ( ( mem @ V1919e1 @ A_27a )
% 5.55/5.81 & ? [V1920e2: $i] :
% 5.55/5.81 ( ( mem @ V1920e2 @ A_27a )
% 5.55/5.81 & ? [V1921e3: $i] :
% 5.55/5.81 ( ( mem @ V1921e3 @ A_27a )
% 5.55/5.81 & ? [V1922e4: $i] :
% 5.55/5.81 ( ( mem @ V1922e4 @ A_27a )
% 5.55/5.81 & ? [V1923e5: $i] :
% 5.55/5.81 ( ( mem @ V1923e5 @ A_27a )
% 5.55/5.81 & ? [V1924e6: $i] :
% 5.55/5.81 ( ( mem @ V1924e6 @ A_27a )
% 5.55/5.81 & ? [V1925e7: $i] :
% 5.55/5.81 ( ( mem @ V1925e7 @ A_27a )
% 5.55/5.81 & ? [V1926e8: $i] :
% 5.55/5.81 ( ( mem @ V1926e8 @ A_27a )
% 5.55/5.81 & ? [V1927e9: $i] :
% 5.55/5.81 ( ( mem @ V1927e9 @ A_27a )
% 5.55/5.81 & ? [V1928e10: $i] :
% 5.55/5.81 ( ( mem @ V1928e10 @ A_27a )
% 5.55/5.81 & ? [V1929e11: $i] :
% 5.55/5.81 ( ( mem @ V1929e11 @ A_27a )
% 5.55/5.81 & ? [V1930e12: $i] :
% 5.55/5.81 ( ( mem @ V1930e12 @ A_27a )
% 5.55/5.81 & ? [V1931e13: $i] :
% 5.55/5.81 ( ( mem @ V1931e13 @ A_27a )
% 5.55/5.81 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1918l_27 ) )
% 5.55/5.81 = V1x )
% 5.55/5.81 & ( V0l
% 5.55/5.81 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1919e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1920e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1921e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1922e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1923e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1924e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1925e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1926e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1927e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1928e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1929e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1930e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1931e13 ) @ V1918l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.81 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.81 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.81 <=> ? [V1932l_27: $i] :
% 5.55/5.81 ( ( mem @ V1932l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.81 & ? [V1933e1: $i] :
% 5.55/5.81 ( ( mem @ V1933e1 @ A_27a )
% 5.55/5.81 & ? [V1934e2: $i] :
% 5.55/5.81 ( ( mem @ V1934e2 @ A_27a )
% 5.55/5.81 & ? [V1935e3: $i] :
% 5.55/5.81 ( ( mem @ V1935e3 @ A_27a )
% 5.55/5.81 & ? [V1936e4: $i] :
% 5.55/5.81 ( ( mem @ V1936e4 @ A_27a )
% 5.55/5.81 & ? [V1937e5: $i] :
% 5.55/5.81 ( ( mem @ V1937e5 @ A_27a )
% 5.55/5.81 & ? [V1938e6: $i] :
% 5.55/5.81 ( ( mem @ V1938e6 @ A_27a )
% 5.55/5.81 & ? [V1939e7: $i] :
% 5.55/5.81 ( ( mem @ V1939e7 @ A_27a )
% 5.55/5.81 & ? [V1940e8: $i] :
% 5.55/5.81 ( ( mem @ V1940e8 @ A_27a )
% 5.55/5.81 & ? [V1941e9: $i] :
% 5.55/5.81 ( ( mem @ V1941e9 @ A_27a )
% 5.55/5.81 & ? [V1942e10: $i] :
% 5.55/5.81 ( ( mem @ V1942e10 @ A_27a )
% 5.55/5.81 & ? [V1943e11: $i] :
% 5.55/5.81 ( ( mem @ V1943e11 @ A_27a )
% 5.55/5.81 & ? [V1944e12: $i] :
% 5.55/5.81 ( ( mem @ V1944e12 @ A_27a )
% 5.55/5.81 & ? [V1945e13: $i] :
% 5.55/5.82 ( ( mem @ V1945e13 @ A_27a )
% 5.55/5.82 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1932l_27 ) )
% 5.55/5.82 = V1x )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1933e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1934e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1935e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1936e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1937e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1938e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1939e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1940e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1941e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1942e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1943e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1944e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1945e13 ) @ V1932l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.82 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.82 <=> ? [V1946e1: $i] :
% 5.55/5.82 ( ( mem @ V1946e1 @ A_27a )
% 5.55/5.82 & ? [V1947e2: $i] :
% 5.55/5.82 ( ( mem @ V1947e2 @ A_27a )
% 5.55/5.82 & ? [V1948e3: $i] :
% 5.55/5.82 ( ( mem @ V1948e3 @ A_27a )
% 5.55/5.82 & ? [V1949e4: $i] :
% 5.55/5.82 ( ( mem @ V1949e4 @ A_27a )
% 5.55/5.82 & ? [V1950e5: $i] :
% 5.55/5.82 ( ( mem @ V1950e5 @ A_27a )
% 5.55/5.82 & ? [V1951e6: $i] :
% 5.55/5.82 ( ( mem @ V1951e6 @ A_27a )
% 5.55/5.82 & ? [V1952e7: $i] :
% 5.55/5.82 ( ( mem @ V1952e7 @ A_27a )
% 5.55/5.82 & ? [V1953e8: $i] :
% 5.55/5.82 ( ( mem @ V1953e8 @ A_27a )
% 5.55/5.82 & ? [V1954e9: $i] :
% 5.55/5.82 ( ( mem @ V1954e9 @ A_27a )
% 5.55/5.82 & ? [V1955e10: $i] :
% 5.55/5.82 ( ( mem @ V1955e10 @ A_27a )
% 5.55/5.82 & ? [V1956e11: $i] :
% 5.55/5.82 ( ( mem @ V1956e11 @ A_27a )
% 5.55/5.82 & ? [V1957e12: $i] :
% 5.55/5.82 ( ( mem @ V1957e12 @ A_27a )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1946e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1947e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1948e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1949e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1950e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1951e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1952e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1953e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1954e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1955e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1956e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1957e12 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.82 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V1958e1: $i] :
% 5.55/5.82 ( ( mem @ V1958e1 @ A_27a )
% 5.55/5.82 & ? [V1959e2: $i] :
% 5.55/5.82 ( ( mem @ V1959e2 @ A_27a )
% 5.55/5.82 & ? [V1960e3: $i] :
% 5.55/5.82 ( ( mem @ V1960e3 @ A_27a )
% 5.55/5.82 & ? [V1961e4: $i] :
% 5.55/5.82 ( ( mem @ V1961e4 @ A_27a )
% 5.55/5.82 & ? [V1962e5: $i] :
% 5.55/5.82 ( ( mem @ V1962e5 @ A_27a )
% 5.55/5.82 & ? [V1963e6: $i] :
% 5.55/5.82 ( ( mem @ V1963e6 @ A_27a )
% 5.55/5.82 & ? [V1964e7: $i] :
% 5.55/5.82 ( ( mem @ V1964e7 @ A_27a )
% 5.55/5.82 & ? [V1965e8: $i] :
% 5.55/5.82 ( ( mem @ V1965e8 @ A_27a )
% 5.55/5.82 & ? [V1966e9: $i] :
% 5.55/5.82 ( ( mem @ V1966e9 @ A_27a )
% 5.55/5.82 & ? [V1967e10: $i] :
% 5.55/5.82 ( ( mem @ V1967e10 @ A_27a )
% 5.55/5.82 & ? [V1968e11: $i] :
% 5.55/5.82 ( ( mem @ V1968e11 @ A_27a )
% 5.55/5.82 & ? [V1969e12: $i] :
% 5.55/5.82 ( ( mem @ V1969e12 @ A_27a )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1958e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1959e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1960e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1961e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1962e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1963e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1964e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1965e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1966e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1967e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1968e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1969e12 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V1970l_27: $i] :
% 5.55/5.82 ( ( mem @ V1970l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V1971e1: $i] :
% 5.55/5.82 ( ( mem @ V1971e1 @ A_27a )
% 5.55/5.82 & ? [V1972e2: $i] :
% 5.55/5.82 ( ( mem @ V1972e2 @ A_27a )
% 5.55/5.82 & ? [V1973e3: $i] :
% 5.55/5.82 ( ( mem @ V1973e3 @ A_27a )
% 5.55/5.82 & ? [V1974e4: $i] :
% 5.55/5.82 ( ( mem @ V1974e4 @ A_27a )
% 5.55/5.82 & ? [V1975e5: $i] :
% 5.55/5.82 ( ( mem @ V1975e5 @ A_27a )
% 5.55/5.82 & ? [V1976e6: $i] :
% 5.55/5.82 ( ( mem @ V1976e6 @ A_27a )
% 5.55/5.82 & ? [V1977e7: $i] :
% 5.55/5.82 ( ( mem @ V1977e7 @ A_27a )
% 5.55/5.82 & ? [V1978e8: $i] :
% 5.55/5.82 ( ( mem @ V1978e8 @ A_27a )
% 5.55/5.82 & ? [V1979e9: $i] :
% 5.55/5.82 ( ( mem @ V1979e9 @ A_27a )
% 5.55/5.82 & ? [V1980e10: $i] :
% 5.55/5.82 ( ( mem @ V1980e10 @ A_27a )
% 5.55/5.82 & ? [V1981e11: $i] :
% 5.55/5.82 ( ( mem @ V1981e11 @ A_27a )
% 5.55/5.82 & ? [V1982e12: $i] :
% 5.55/5.82 ( ( mem @ V1982e12 @ A_27a )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1971e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1972e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1973e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1974e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1975e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1976e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1977e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1978e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1979e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1980e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1981e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1982e12 ) @ V1970l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.82 <=> ? [V1983l_27: $i] :
% 5.55/5.82 ( ( mem @ V1983l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V1984e1: $i] :
% 5.55/5.82 ( ( mem @ V1984e1 @ A_27a )
% 5.55/5.82 & ? [V1985e2: $i] :
% 5.55/5.82 ( ( mem @ V1985e2 @ A_27a )
% 5.55/5.82 & ? [V1986e3: $i] :
% 5.55/5.82 ( ( mem @ V1986e3 @ A_27a )
% 5.55/5.82 & ? [V1987e4: $i] :
% 5.55/5.82 ( ( mem @ V1987e4 @ A_27a )
% 5.55/5.82 & ? [V1988e5: $i] :
% 5.55/5.82 ( ( mem @ V1988e5 @ A_27a )
% 5.55/5.82 & ? [V1989e6: $i] :
% 5.55/5.82 ( ( mem @ V1989e6 @ A_27a )
% 5.55/5.82 & ? [V1990e7: $i] :
% 5.55/5.82 ( ( mem @ V1990e7 @ A_27a )
% 5.55/5.82 & ? [V1991e8: $i] :
% 5.55/5.82 ( ( mem @ V1991e8 @ A_27a )
% 5.55/5.82 & ? [V1992e9: $i] :
% 5.55/5.82 ( ( mem @ V1992e9 @ A_27a )
% 5.55/5.82 & ? [V1993e10: $i] :
% 5.55/5.82 ( ( mem @ V1993e10 @ A_27a )
% 5.55/5.82 & ? [V1994e11: $i] :
% 5.55/5.82 ( ( mem @ V1994e11 @ A_27a )
% 5.55/5.82 & ? [V1995e12: $i] :
% 5.55/5.82 ( ( mem @ V1995e12 @ A_27a )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1984e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1985e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1986e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1987e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1988e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1989e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1990e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1991e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1992e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1993e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1994e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1995e12 ) @ V1983l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V1996l_27: $i] :
% 5.55/5.82 ( ( mem @ V1996l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V1997e1: $i] :
% 5.55/5.82 ( ( mem @ V1997e1 @ A_27a )
% 5.55/5.82 & ? [V1998e2: $i] :
% 5.55/5.82 ( ( mem @ V1998e2 @ A_27a )
% 5.55/5.82 & ? [V1999e3: $i] :
% 5.55/5.82 ( ( mem @ V1999e3 @ A_27a )
% 5.55/5.82 & ? [V2000e4: $i] :
% 5.55/5.82 ( ( mem @ V2000e4 @ A_27a )
% 5.55/5.82 & ? [V2001e5: $i] :
% 5.55/5.82 ( ( mem @ V2001e5 @ A_27a )
% 5.55/5.82 & ? [V2002e6: $i] :
% 5.55/5.82 ( ( mem @ V2002e6 @ A_27a )
% 5.55/5.82 & ? [V2003e7: $i] :
% 5.55/5.82 ( ( mem @ V2003e7 @ A_27a )
% 5.55/5.82 & ? [V2004e8: $i] :
% 5.55/5.82 ( ( mem @ V2004e8 @ A_27a )
% 5.55/5.82 & ? [V2005e9: $i] :
% 5.55/5.82 ( ( mem @ V2005e9 @ A_27a )
% 5.55/5.82 & ? [V2006e10: $i] :
% 5.55/5.82 ( ( mem @ V2006e10 @ A_27a )
% 5.55/5.82 & ? [V2007e11: $i] :
% 5.55/5.82 ( ( mem @ V2007e11 @ A_27a )
% 5.55/5.82 & ? [V2008e12: $i] :
% 5.55/5.82 ( ( mem @ V2008e12 @ A_27a )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1997e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1998e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1999e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2000e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2001e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2002e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2003e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2004e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2005e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2006e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2007e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2008e12 ) @ V1996l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.82 <=> ? [V2009l_27: $i] :
% 5.55/5.82 ( ( mem @ V2009l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2010e1: $i] :
% 5.55/5.82 ( ( mem @ V2010e1 @ A_27a )
% 5.55/5.82 & ? [V2011e2: $i] :
% 5.55/5.82 ( ( mem @ V2011e2 @ A_27a )
% 5.55/5.82 & ? [V2012e3: $i] :
% 5.55/5.82 ( ( mem @ V2012e3 @ A_27a )
% 5.55/5.82 & ? [V2013e4: $i] :
% 5.55/5.82 ( ( mem @ V2013e4 @ A_27a )
% 5.55/5.82 & ? [V2014e5: $i] :
% 5.55/5.82 ( ( mem @ V2014e5 @ A_27a )
% 5.55/5.82 & ? [V2015e6: $i] :
% 5.55/5.82 ( ( mem @ V2015e6 @ A_27a )
% 5.55/5.82 & ? [V2016e7: $i] :
% 5.55/5.82 ( ( mem @ V2016e7 @ A_27a )
% 5.55/5.82 & ? [V2017e8: $i] :
% 5.55/5.82 ( ( mem @ V2017e8 @ A_27a )
% 5.55/5.82 & ? [V2018e9: $i] :
% 5.55/5.82 ( ( mem @ V2018e9 @ A_27a )
% 5.55/5.82 & ? [V2019e10: $i] :
% 5.55/5.82 ( ( mem @ V2019e10 @ A_27a )
% 5.55/5.82 & ? [V2020e11: $i] :
% 5.55/5.82 ( ( mem @ V2020e11 @ A_27a )
% 5.55/5.82 & ? [V2021e12: $i] :
% 5.55/5.82 ( ( mem @ V2021e12 @ A_27a )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2010e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2011e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2012e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2013e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2014e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2015e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2016e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2017e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2018e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2019e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2020e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2021e12 ) @ V2009l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V2022l_27: $i] :
% 5.55/5.82 ( ( mem @ V2022l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2023e1: $i] :
% 5.55/5.82 ( ( mem @ V2023e1 @ A_27a )
% 5.55/5.82 & ? [V2024e2: $i] :
% 5.55/5.82 ( ( mem @ V2024e2 @ A_27a )
% 5.55/5.82 & ? [V2025e3: $i] :
% 5.55/5.82 ( ( mem @ V2025e3 @ A_27a )
% 5.55/5.82 & ? [V2026e4: $i] :
% 5.55/5.82 ( ( mem @ V2026e4 @ A_27a )
% 5.55/5.82 & ? [V2027e5: $i] :
% 5.55/5.82 ( ( mem @ V2027e5 @ A_27a )
% 5.55/5.82 & ? [V2028e6: $i] :
% 5.55/5.82 ( ( mem @ V2028e6 @ A_27a )
% 5.55/5.82 & ? [V2029e7: $i] :
% 5.55/5.82 ( ( mem @ V2029e7 @ A_27a )
% 5.55/5.82 & ? [V2030e8: $i] :
% 5.55/5.82 ( ( mem @ V2030e8 @ A_27a )
% 5.55/5.82 & ? [V2031e9: $i] :
% 5.55/5.82 ( ( mem @ V2031e9 @ A_27a )
% 5.55/5.82 & ? [V2032e10: $i] :
% 5.55/5.82 ( ( mem @ V2032e10 @ A_27a )
% 5.55/5.82 & ? [V2033e11: $i] :
% 5.55/5.82 ( ( mem @ V2033e11 @ A_27a )
% 5.55/5.82 & ? [V2034e12: $i] :
% 5.55/5.82 ( ( mem @ V2034e12 @ A_27a )
% 5.55/5.82 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2022l_27 ) ) )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2023e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2024e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2025e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2026e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2027e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2028e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2029e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2030e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2031e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2032e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2033e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2034e12 ) @ V2022l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.82 <=> ? [V2035l_27: $i] :
% 5.55/5.82 ( ( mem @ V2035l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2036e1: $i] :
% 5.55/5.82 ( ( mem @ V2036e1 @ A_27a )
% 5.55/5.82 & ? [V2037e2: $i] :
% 5.55/5.82 ( ( mem @ V2037e2 @ A_27a )
% 5.55/5.82 & ? [V2038e3: $i] :
% 5.55/5.82 ( ( mem @ V2038e3 @ A_27a )
% 5.55/5.82 & ? [V2039e4: $i] :
% 5.55/5.82 ( ( mem @ V2039e4 @ A_27a )
% 5.55/5.82 & ? [V2040e5: $i] :
% 5.55/5.82 ( ( mem @ V2040e5 @ A_27a )
% 5.55/5.82 & ? [V2041e6: $i] :
% 5.55/5.82 ( ( mem @ V2041e6 @ A_27a )
% 5.55/5.82 & ? [V2042e7: $i] :
% 5.55/5.82 ( ( mem @ V2042e7 @ A_27a )
% 5.55/5.82 & ? [V2043e8: $i] :
% 5.55/5.82 ( ( mem @ V2043e8 @ A_27a )
% 5.55/5.82 & ? [V2044e9: $i] :
% 5.55/5.82 ( ( mem @ V2044e9 @ A_27a )
% 5.55/5.82 & ? [V2045e10: $i] :
% 5.55/5.82 ( ( mem @ V2045e10 @ A_27a )
% 5.55/5.82 & ? [V2046e11: $i] :
% 5.55/5.82 ( ( mem @ V2046e11 @ A_27a )
% 5.55/5.82 & ? [V2047e12: $i] :
% 5.55/5.82 ( ( mem @ V2047e12 @ A_27a )
% 5.55/5.82 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2035l_27 ) ) )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2036e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2037e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2038e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2039e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2040e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2041e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2042e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2043e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2044e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2045e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2046e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2047e12 ) @ V2035l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V2048l_27: $i] :
% 5.55/5.82 ( ( mem @ V2048l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2049e1: $i] :
% 5.55/5.82 ( ( mem @ V2049e1 @ A_27a )
% 5.55/5.82 & ? [V2050e2: $i] :
% 5.55/5.82 ( ( mem @ V2050e2 @ A_27a )
% 5.55/5.82 & ? [V2051e3: $i] :
% 5.55/5.82 ( ( mem @ V2051e3 @ A_27a )
% 5.55/5.82 & ? [V2052e4: $i] :
% 5.55/5.82 ( ( mem @ V2052e4 @ A_27a )
% 5.55/5.82 & ? [V2053e5: $i] :
% 5.55/5.82 ( ( mem @ V2053e5 @ A_27a )
% 5.55/5.82 & ? [V2054e6: $i] :
% 5.55/5.82 ( ( mem @ V2054e6 @ A_27a )
% 5.55/5.82 & ? [V2055e7: $i] :
% 5.55/5.82 ( ( mem @ V2055e7 @ A_27a )
% 5.55/5.82 & ? [V2056e8: $i] :
% 5.55/5.82 ( ( mem @ V2056e8 @ A_27a )
% 5.55/5.82 & ? [V2057e9: $i] :
% 5.55/5.82 ( ( mem @ V2057e9 @ A_27a )
% 5.55/5.82 & ? [V2058e10: $i] :
% 5.55/5.82 ( ( mem @ V2058e10 @ A_27a )
% 5.55/5.82 & ? [V2059e11: $i] :
% 5.55/5.82 ( ( mem @ V2059e11 @ A_27a )
% 5.55/5.82 & ? [V2060e12: $i] :
% 5.55/5.82 ( ( mem @ V2060e12 @ A_27a )
% 5.55/5.82 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2048l_27 ) ) )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2049e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2050e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2051e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2052e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2053e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2054e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2055e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2056e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2057e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2058e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2059e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2060e12 ) @ V2048l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.82 <=> ? [V2061l_27: $i] :
% 5.55/5.82 ( ( mem @ V2061l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2062e1: $i] :
% 5.55/5.82 ( ( mem @ V2062e1 @ A_27a )
% 5.55/5.82 & ? [V2063e2: $i] :
% 5.55/5.82 ( ( mem @ V2063e2 @ A_27a )
% 5.55/5.82 & ? [V2064e3: $i] :
% 5.55/5.82 ( ( mem @ V2064e3 @ A_27a )
% 5.55/5.82 & ? [V2065e4: $i] :
% 5.55/5.82 ( ( mem @ V2065e4 @ A_27a )
% 5.55/5.82 & ? [V2066e5: $i] :
% 5.55/5.82 ( ( mem @ V2066e5 @ A_27a )
% 5.55/5.82 & ? [V2067e6: $i] :
% 5.55/5.82 ( ( mem @ V2067e6 @ A_27a )
% 5.55/5.82 & ? [V2068e7: $i] :
% 5.55/5.82 ( ( mem @ V2068e7 @ A_27a )
% 5.55/5.82 & ? [V2069e8: $i] :
% 5.55/5.82 ( ( mem @ V2069e8 @ A_27a )
% 5.55/5.82 & ? [V2070e9: $i] :
% 5.55/5.82 ( ( mem @ V2070e9 @ A_27a )
% 5.55/5.82 & ? [V2071e10: $i] :
% 5.55/5.82 ( ( mem @ V2071e10 @ A_27a )
% 5.55/5.82 & ? [V2072e11: $i] :
% 5.55/5.82 ( ( mem @ V2072e11 @ A_27a )
% 5.55/5.82 & ? [V2073e12: $i] :
% 5.55/5.82 ( ( mem @ V2073e12 @ A_27a )
% 5.55/5.82 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2061l_27 ) ) )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2062e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2063e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2064e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2065e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2066e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2067e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2068e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2069e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2070e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2071e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2072e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2073e12 ) @ V2061l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.82 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.82 <=> ? [V2074l_27: $i] :
% 5.55/5.82 ( ( mem @ V2074l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2075e1: $i] :
% 5.55/5.82 ( ( mem @ V2075e1 @ A_27a )
% 5.55/5.82 & ? [V2076e2: $i] :
% 5.55/5.82 ( ( mem @ V2076e2 @ A_27a )
% 5.55/5.82 & ? [V2077e3: $i] :
% 5.55/5.82 ( ( mem @ V2077e3 @ A_27a )
% 5.55/5.82 & ? [V2078e4: $i] :
% 5.55/5.82 ( ( mem @ V2078e4 @ A_27a )
% 5.55/5.82 & ? [V2079e5: $i] :
% 5.55/5.82 ( ( mem @ V2079e5 @ A_27a )
% 5.55/5.82 & ? [V2080e6: $i] :
% 5.55/5.82 ( ( mem @ V2080e6 @ A_27a )
% 5.55/5.82 & ? [V2081e7: $i] :
% 5.55/5.82 ( ( mem @ V2081e7 @ A_27a )
% 5.55/5.82 & ? [V2082e8: $i] :
% 5.55/5.82 ( ( mem @ V2082e8 @ A_27a )
% 5.55/5.82 & ? [V2083e9: $i] :
% 5.55/5.82 ( ( mem @ V2083e9 @ A_27a )
% 5.55/5.82 & ? [V2084e10: $i] :
% 5.55/5.82 ( ( mem @ V2084e10 @ A_27a )
% 5.55/5.82 & ? [V2085e11: $i] :
% 5.55/5.82 ( ( mem @ V2085e11 @ A_27a )
% 5.55/5.82 & ? [V2086e12: $i] :
% 5.55/5.82 ( ( mem @ V2086e12 @ A_27a )
% 5.55/5.82 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2074l_27 ) )
% 5.55/5.82 = V1x )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2075e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2076e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2077e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2078e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2079e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2080e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2081e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2082e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2083e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2084e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2085e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2086e12 ) @ V2074l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.55/5.82 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V2087l_27: $i] :
% 5.55/5.82 ( ( mem @ V2087l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2088e1: $i] :
% 5.55/5.82 ( ( mem @ V2088e1 @ A_27a )
% 5.55/5.82 & ? [V2089e2: $i] :
% 5.55/5.82 ( ( mem @ V2089e2 @ A_27a )
% 5.55/5.82 & ? [V2090e3: $i] :
% 5.55/5.82 ( ( mem @ V2090e3 @ A_27a )
% 5.55/5.82 & ? [V2091e4: $i] :
% 5.55/5.82 ( ( mem @ V2091e4 @ A_27a )
% 5.55/5.82 & ? [V2092e5: $i] :
% 5.55/5.82 ( ( mem @ V2092e5 @ A_27a )
% 5.55/5.82 & ? [V2093e6: $i] :
% 5.55/5.82 ( ( mem @ V2093e6 @ A_27a )
% 5.55/5.82 & ? [V2094e7: $i] :
% 5.55/5.82 ( ( mem @ V2094e7 @ A_27a )
% 5.55/5.82 & ? [V2095e8: $i] :
% 5.55/5.82 ( ( mem @ V2095e8 @ A_27a )
% 5.55/5.82 & ? [V2096e9: $i] :
% 5.55/5.82 ( ( mem @ V2096e9 @ A_27a )
% 5.55/5.82 & ? [V2097e10: $i] :
% 5.55/5.82 ( ( mem @ V2097e10 @ A_27a )
% 5.55/5.82 & ? [V2098e11: $i] :
% 5.55/5.82 ( ( mem @ V2098e11 @ A_27a )
% 5.55/5.82 & ? [V2099e12: $i] :
% 5.55/5.82 ( ( mem @ V2099e12 @ A_27a )
% 5.55/5.82 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2087l_27 ) )
% 5.55/5.82 = V1x )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2088e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2089e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2090e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2091e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2092e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2093e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2094e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2095e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2096e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2097e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2098e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2099e12 ) @ V2087l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.82 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.82 <=> ? [V2100l_27: $i] :
% 5.55/5.82 ( ( mem @ V2100l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2101e1: $i] :
% 5.55/5.82 ( ( mem @ V2101e1 @ A_27a )
% 5.55/5.82 & ? [V2102e2: $i] :
% 5.55/5.82 ( ( mem @ V2102e2 @ A_27a )
% 5.55/5.82 & ? [V2103e3: $i] :
% 5.55/5.82 ( ( mem @ V2103e3 @ A_27a )
% 5.55/5.82 & ? [V2104e4: $i] :
% 5.55/5.82 ( ( mem @ V2104e4 @ A_27a )
% 5.55/5.82 & ? [V2105e5: $i] :
% 5.55/5.82 ( ( mem @ V2105e5 @ A_27a )
% 5.55/5.82 & ? [V2106e6: $i] :
% 5.55/5.82 ( ( mem @ V2106e6 @ A_27a )
% 5.55/5.82 & ? [V2107e7: $i] :
% 5.55/5.82 ( ( mem @ V2107e7 @ A_27a )
% 5.55/5.82 & ? [V2108e8: $i] :
% 5.55/5.82 ( ( mem @ V2108e8 @ A_27a )
% 5.55/5.82 & ? [V2109e9: $i] :
% 5.55/5.82 ( ( mem @ V2109e9 @ A_27a )
% 5.55/5.82 & ? [V2110e10: $i] :
% 5.55/5.82 ( ( mem @ V2110e10 @ A_27a )
% 5.55/5.82 & ? [V2111e11: $i] :
% 5.55/5.82 ( ( mem @ V2111e11 @ A_27a )
% 5.55/5.82 & ? [V2112e12: $i] :
% 5.55/5.82 ( ( mem @ V2112e12 @ A_27a )
% 5.55/5.82 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2100l_27 ) )
% 5.55/5.82 = V1x )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2101e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2102e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2103e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2104e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2105e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2106e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2107e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2108e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2109e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2110e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2111e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2112e12 ) @ V2100l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.82 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V2113l_27: $i] :
% 5.55/5.82 ( ( mem @ V2113l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2114e1: $i] :
% 5.55/5.82 ( ( mem @ V2114e1 @ A_27a )
% 5.55/5.82 & ? [V2115e2: $i] :
% 5.55/5.82 ( ( mem @ V2115e2 @ A_27a )
% 5.55/5.82 & ? [V2116e3: $i] :
% 5.55/5.82 ( ( mem @ V2116e3 @ A_27a )
% 5.55/5.82 & ? [V2117e4: $i] :
% 5.55/5.82 ( ( mem @ V2117e4 @ A_27a )
% 5.55/5.82 & ? [V2118e5: $i] :
% 5.55/5.82 ( ( mem @ V2118e5 @ A_27a )
% 5.55/5.82 & ? [V2119e6: $i] :
% 5.55/5.82 ( ( mem @ V2119e6 @ A_27a )
% 5.55/5.82 & ? [V2120e7: $i] :
% 5.55/5.82 ( ( mem @ V2120e7 @ A_27a )
% 5.55/5.82 & ? [V2121e8: $i] :
% 5.55/5.82 ( ( mem @ V2121e8 @ A_27a )
% 5.55/5.82 & ? [V2122e9: $i] :
% 5.55/5.82 ( ( mem @ V2122e9 @ A_27a )
% 5.55/5.82 & ? [V2123e10: $i] :
% 5.55/5.82 ( ( mem @ V2123e10 @ A_27a )
% 5.55/5.82 & ? [V2124e11: $i] :
% 5.55/5.82 ( ( mem @ V2124e11 @ A_27a )
% 5.55/5.82 & ? [V2125e12: $i] :
% 5.55/5.82 ( ( mem @ V2125e12 @ A_27a )
% 5.55/5.82 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2113l_27 ) )
% 5.55/5.82 = V1x )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2114e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2115e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2116e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2117e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2118e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2119e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2120e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2121e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2122e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2123e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2124e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2125e12 ) @ V2113l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.82 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.82 <=> ? [V2126e1: $i] :
% 5.55/5.82 ( ( mem @ V2126e1 @ A_27a )
% 5.55/5.82 & ? [V2127e2: $i] :
% 5.55/5.82 ( ( mem @ V2127e2 @ A_27a )
% 5.55/5.82 & ? [V2128e3: $i] :
% 5.55/5.82 ( ( mem @ V2128e3 @ A_27a )
% 5.55/5.82 & ? [V2129e4: $i] :
% 5.55/5.82 ( ( mem @ V2129e4 @ A_27a )
% 5.55/5.82 & ? [V2130e5: $i] :
% 5.55/5.82 ( ( mem @ V2130e5 @ A_27a )
% 5.55/5.82 & ? [V2131e6: $i] :
% 5.55/5.82 ( ( mem @ V2131e6 @ A_27a )
% 5.55/5.82 & ? [V2132e7: $i] :
% 5.55/5.82 ( ( mem @ V2132e7 @ A_27a )
% 5.55/5.82 & ? [V2133e8: $i] :
% 5.55/5.82 ( ( mem @ V2133e8 @ A_27a )
% 5.55/5.82 & ? [V2134e9: $i] :
% 5.55/5.82 ( ( mem @ V2134e9 @ A_27a )
% 5.55/5.82 & ? [V2135e10: $i] :
% 5.55/5.82 ( ( mem @ V2135e10 @ A_27a )
% 5.55/5.82 & ? [V2136e11: $i] :
% 5.55/5.82 ( ( mem @ V2136e11 @ A_27a )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2126e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2127e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2128e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2129e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2130e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2131e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2132e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2133e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2134e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2135e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2136e11 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.82 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V2137e1: $i] :
% 5.55/5.82 ( ( mem @ V2137e1 @ A_27a )
% 5.55/5.82 & ? [V2138e2: $i] :
% 5.55/5.82 ( ( mem @ V2138e2 @ A_27a )
% 5.55/5.82 & ? [V2139e3: $i] :
% 5.55/5.82 ( ( mem @ V2139e3 @ A_27a )
% 5.55/5.82 & ? [V2140e4: $i] :
% 5.55/5.82 ( ( mem @ V2140e4 @ A_27a )
% 5.55/5.82 & ? [V2141e5: $i] :
% 5.55/5.82 ( ( mem @ V2141e5 @ A_27a )
% 5.55/5.82 & ? [V2142e6: $i] :
% 5.55/5.82 ( ( mem @ V2142e6 @ A_27a )
% 5.55/5.82 & ? [V2143e7: $i] :
% 5.55/5.82 ( ( mem @ V2143e7 @ A_27a )
% 5.55/5.82 & ? [V2144e8: $i] :
% 5.55/5.82 ( ( mem @ V2144e8 @ A_27a )
% 5.55/5.82 & ? [V2145e9: $i] :
% 5.55/5.82 ( ( mem @ V2145e9 @ A_27a )
% 5.55/5.82 & ? [V2146e10: $i] :
% 5.55/5.82 ( ( mem @ V2146e10 @ A_27a )
% 5.55/5.82 & ? [V2147e11: $i] :
% 5.55/5.82 ( ( mem @ V2147e11 @ A_27a )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2137e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2138e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2139e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2140e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2141e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2142e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2143e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2144e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2145e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2146e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2147e11 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V2148l_27: $i] :
% 5.55/5.82 ( ( mem @ V2148l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2149e1: $i] :
% 5.55/5.82 ( ( mem @ V2149e1 @ A_27a )
% 5.55/5.82 & ? [V2150e2: $i] :
% 5.55/5.82 ( ( mem @ V2150e2 @ A_27a )
% 5.55/5.82 & ? [V2151e3: $i] :
% 5.55/5.82 ( ( mem @ V2151e3 @ A_27a )
% 5.55/5.82 & ? [V2152e4: $i] :
% 5.55/5.82 ( ( mem @ V2152e4 @ A_27a )
% 5.55/5.82 & ? [V2153e5: $i] :
% 5.55/5.82 ( ( mem @ V2153e5 @ A_27a )
% 5.55/5.82 & ? [V2154e6: $i] :
% 5.55/5.82 ( ( mem @ V2154e6 @ A_27a )
% 5.55/5.82 & ? [V2155e7: $i] :
% 5.55/5.82 ( ( mem @ V2155e7 @ A_27a )
% 5.55/5.82 & ? [V2156e8: $i] :
% 5.55/5.82 ( ( mem @ V2156e8 @ A_27a )
% 5.55/5.82 & ? [V2157e9: $i] :
% 5.55/5.82 ( ( mem @ V2157e9 @ A_27a )
% 5.55/5.82 & ? [V2158e10: $i] :
% 5.55/5.82 ( ( mem @ V2158e10 @ A_27a )
% 5.55/5.82 & ? [V2159e11: $i] :
% 5.55/5.82 ( ( mem @ V2159e11 @ A_27a )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2149e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2150e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2151e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2152e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2153e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2154e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2155e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2156e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2157e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2158e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2159e11 ) @ V2148l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.82 <=> ? [V2160l_27: $i] :
% 5.55/5.82 ( ( mem @ V2160l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2161e1: $i] :
% 5.55/5.82 ( ( mem @ V2161e1 @ A_27a )
% 5.55/5.82 & ? [V2162e2: $i] :
% 5.55/5.82 ( ( mem @ V2162e2 @ A_27a )
% 5.55/5.82 & ? [V2163e3: $i] :
% 5.55/5.82 ( ( mem @ V2163e3 @ A_27a )
% 5.55/5.82 & ? [V2164e4: $i] :
% 5.55/5.82 ( ( mem @ V2164e4 @ A_27a )
% 5.55/5.82 & ? [V2165e5: $i] :
% 5.55/5.82 ( ( mem @ V2165e5 @ A_27a )
% 5.55/5.82 & ? [V2166e6: $i] :
% 5.55/5.82 ( ( mem @ V2166e6 @ A_27a )
% 5.55/5.82 & ? [V2167e7: $i] :
% 5.55/5.82 ( ( mem @ V2167e7 @ A_27a )
% 5.55/5.82 & ? [V2168e8: $i] :
% 5.55/5.82 ( ( mem @ V2168e8 @ A_27a )
% 5.55/5.82 & ? [V2169e9: $i] :
% 5.55/5.82 ( ( mem @ V2169e9 @ A_27a )
% 5.55/5.82 & ? [V2170e10: $i] :
% 5.55/5.82 ( ( mem @ V2170e10 @ A_27a )
% 5.55/5.82 & ? [V2171e11: $i] :
% 5.55/5.82 ( ( mem @ V2171e11 @ A_27a )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2161e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2162e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2163e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2164e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2165e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2166e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2167e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2168e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2169e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2170e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2171e11 ) @ V2160l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V2172l_27: $i] :
% 5.55/5.82 ( ( mem @ V2172l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2173e1: $i] :
% 5.55/5.82 ( ( mem @ V2173e1 @ A_27a )
% 5.55/5.82 & ? [V2174e2: $i] :
% 5.55/5.82 ( ( mem @ V2174e2 @ A_27a )
% 5.55/5.82 & ? [V2175e3: $i] :
% 5.55/5.82 ( ( mem @ V2175e3 @ A_27a )
% 5.55/5.82 & ? [V2176e4: $i] :
% 5.55/5.82 ( ( mem @ V2176e4 @ A_27a )
% 5.55/5.82 & ? [V2177e5: $i] :
% 5.55/5.82 ( ( mem @ V2177e5 @ A_27a )
% 5.55/5.82 & ? [V2178e6: $i] :
% 5.55/5.82 ( ( mem @ V2178e6 @ A_27a )
% 5.55/5.82 & ? [V2179e7: $i] :
% 5.55/5.82 ( ( mem @ V2179e7 @ A_27a )
% 5.55/5.82 & ? [V2180e8: $i] :
% 5.55/5.82 ( ( mem @ V2180e8 @ A_27a )
% 5.55/5.82 & ? [V2181e9: $i] :
% 5.55/5.82 ( ( mem @ V2181e9 @ A_27a )
% 5.55/5.82 & ? [V2182e10: $i] :
% 5.55/5.82 ( ( mem @ V2182e10 @ A_27a )
% 5.55/5.82 & ? [V2183e11: $i] :
% 5.55/5.82 ( ( mem @ V2183e11 @ A_27a )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2173e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2174e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2175e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2176e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2177e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2178e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2179e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2180e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2181e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2182e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2183e11 ) @ V2172l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.82 <=> ? [V2184l_27: $i] :
% 5.55/5.82 ( ( mem @ V2184l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2185e1: $i] :
% 5.55/5.82 ( ( mem @ V2185e1 @ A_27a )
% 5.55/5.82 & ? [V2186e2: $i] :
% 5.55/5.82 ( ( mem @ V2186e2 @ A_27a )
% 5.55/5.82 & ? [V2187e3: $i] :
% 5.55/5.82 ( ( mem @ V2187e3 @ A_27a )
% 5.55/5.82 & ? [V2188e4: $i] :
% 5.55/5.82 ( ( mem @ V2188e4 @ A_27a )
% 5.55/5.82 & ? [V2189e5: $i] :
% 5.55/5.82 ( ( mem @ V2189e5 @ A_27a )
% 5.55/5.82 & ? [V2190e6: $i] :
% 5.55/5.82 ( ( mem @ V2190e6 @ A_27a )
% 5.55/5.82 & ? [V2191e7: $i] :
% 5.55/5.82 ( ( mem @ V2191e7 @ A_27a )
% 5.55/5.82 & ? [V2192e8: $i] :
% 5.55/5.82 ( ( mem @ V2192e8 @ A_27a )
% 5.55/5.82 & ? [V2193e9: $i] :
% 5.55/5.82 ( ( mem @ V2193e9 @ A_27a )
% 5.55/5.82 & ? [V2194e10: $i] :
% 5.55/5.82 ( ( mem @ V2194e10 @ A_27a )
% 5.55/5.82 & ? [V2195e11: $i] :
% 5.55/5.82 ( ( mem @ V2195e11 @ A_27a )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2185e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2186e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2187e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2188e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2189e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2190e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2191e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2192e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2193e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2194e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2195e11 ) @ V2184l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V2196l_27: $i] :
% 5.55/5.82 ( ( mem @ V2196l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2197e1: $i] :
% 5.55/5.82 ( ( mem @ V2197e1 @ A_27a )
% 5.55/5.82 & ? [V2198e2: $i] :
% 5.55/5.82 ( ( mem @ V2198e2 @ A_27a )
% 5.55/5.82 & ? [V2199e3: $i] :
% 5.55/5.82 ( ( mem @ V2199e3 @ A_27a )
% 5.55/5.82 & ? [V2200e4: $i] :
% 5.55/5.82 ( ( mem @ V2200e4 @ A_27a )
% 5.55/5.82 & ? [V2201e5: $i] :
% 5.55/5.82 ( ( mem @ V2201e5 @ A_27a )
% 5.55/5.82 & ? [V2202e6: $i] :
% 5.55/5.82 ( ( mem @ V2202e6 @ A_27a )
% 5.55/5.82 & ? [V2203e7: $i] :
% 5.55/5.82 ( ( mem @ V2203e7 @ A_27a )
% 5.55/5.82 & ? [V2204e8: $i] :
% 5.55/5.82 ( ( mem @ V2204e8 @ A_27a )
% 5.55/5.82 & ? [V2205e9: $i] :
% 5.55/5.82 ( ( mem @ V2205e9 @ A_27a )
% 5.55/5.82 & ? [V2206e10: $i] :
% 5.55/5.82 ( ( mem @ V2206e10 @ A_27a )
% 5.55/5.82 & ? [V2207e11: $i] :
% 5.55/5.82 ( ( mem @ V2207e11 @ A_27a )
% 5.55/5.82 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2196l_27 ) ) )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2197e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2198e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2199e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2200e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2201e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2202e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2203e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2204e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2205e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2206e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2207e11 ) @ V2196l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.82 <=> ? [V2208l_27: $i] :
% 5.55/5.82 ( ( mem @ V2208l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2209e1: $i] :
% 5.55/5.82 ( ( mem @ V2209e1 @ A_27a )
% 5.55/5.82 & ? [V2210e2: $i] :
% 5.55/5.82 ( ( mem @ V2210e2 @ A_27a )
% 5.55/5.82 & ? [V2211e3: $i] :
% 5.55/5.82 ( ( mem @ V2211e3 @ A_27a )
% 5.55/5.82 & ? [V2212e4: $i] :
% 5.55/5.82 ( ( mem @ V2212e4 @ A_27a )
% 5.55/5.82 & ? [V2213e5: $i] :
% 5.55/5.82 ( ( mem @ V2213e5 @ A_27a )
% 5.55/5.82 & ? [V2214e6: $i] :
% 5.55/5.82 ( ( mem @ V2214e6 @ A_27a )
% 5.55/5.82 & ? [V2215e7: $i] :
% 5.55/5.82 ( ( mem @ V2215e7 @ A_27a )
% 5.55/5.82 & ? [V2216e8: $i] :
% 5.55/5.82 ( ( mem @ V2216e8 @ A_27a )
% 5.55/5.82 & ? [V2217e9: $i] :
% 5.55/5.82 ( ( mem @ V2217e9 @ A_27a )
% 5.55/5.82 & ? [V2218e10: $i] :
% 5.55/5.82 ( ( mem @ V2218e10 @ A_27a )
% 5.55/5.82 & ? [V2219e11: $i] :
% 5.55/5.82 ( ( mem @ V2219e11 @ A_27a )
% 5.55/5.82 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2208l_27 ) ) )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2209e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2210e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2211e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2212e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2213e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2214e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2215e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2216e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2217e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2218e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2219e11 ) @ V2208l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V2220l_27: $i] :
% 5.55/5.82 ( ( mem @ V2220l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2221e1: $i] :
% 5.55/5.82 ( ( mem @ V2221e1 @ A_27a )
% 5.55/5.82 & ? [V2222e2: $i] :
% 5.55/5.82 ( ( mem @ V2222e2 @ A_27a )
% 5.55/5.82 & ? [V2223e3: $i] :
% 5.55/5.82 ( ( mem @ V2223e3 @ A_27a )
% 5.55/5.82 & ? [V2224e4: $i] :
% 5.55/5.82 ( ( mem @ V2224e4 @ A_27a )
% 5.55/5.82 & ? [V2225e5: $i] :
% 5.55/5.82 ( ( mem @ V2225e5 @ A_27a )
% 5.55/5.82 & ? [V2226e6: $i] :
% 5.55/5.82 ( ( mem @ V2226e6 @ A_27a )
% 5.55/5.82 & ? [V2227e7: $i] :
% 5.55/5.82 ( ( mem @ V2227e7 @ A_27a )
% 5.55/5.82 & ? [V2228e8: $i] :
% 5.55/5.82 ( ( mem @ V2228e8 @ A_27a )
% 5.55/5.82 & ? [V2229e9: $i] :
% 5.55/5.82 ( ( mem @ V2229e9 @ A_27a )
% 5.55/5.82 & ? [V2230e10: $i] :
% 5.55/5.82 ( ( mem @ V2230e10 @ A_27a )
% 5.55/5.82 & ? [V2231e11: $i] :
% 5.55/5.82 ( ( mem @ V2231e11 @ A_27a )
% 5.55/5.82 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2220l_27 ) ) )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2221e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2222e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2223e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2224e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2225e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2226e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2227e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2228e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2229e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2230e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2231e11 ) @ V2220l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.82 <=> ? [V2232l_27: $i] :
% 5.55/5.82 ( ( mem @ V2232l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2233e1: $i] :
% 5.55/5.82 ( ( mem @ V2233e1 @ A_27a )
% 5.55/5.82 & ? [V2234e2: $i] :
% 5.55/5.82 ( ( mem @ V2234e2 @ A_27a )
% 5.55/5.82 & ? [V2235e3: $i] :
% 5.55/5.82 ( ( mem @ V2235e3 @ A_27a )
% 5.55/5.82 & ? [V2236e4: $i] :
% 5.55/5.82 ( ( mem @ V2236e4 @ A_27a )
% 5.55/5.82 & ? [V2237e5: $i] :
% 5.55/5.82 ( ( mem @ V2237e5 @ A_27a )
% 5.55/5.82 & ? [V2238e6: $i] :
% 5.55/5.82 ( ( mem @ V2238e6 @ A_27a )
% 5.55/5.82 & ? [V2239e7: $i] :
% 5.55/5.82 ( ( mem @ V2239e7 @ A_27a )
% 5.55/5.82 & ? [V2240e8: $i] :
% 5.55/5.82 ( ( mem @ V2240e8 @ A_27a )
% 5.55/5.82 & ? [V2241e9: $i] :
% 5.55/5.82 ( ( mem @ V2241e9 @ A_27a )
% 5.55/5.82 & ? [V2242e10: $i] :
% 5.55/5.82 ( ( mem @ V2242e10 @ A_27a )
% 5.55/5.82 & ? [V2243e11: $i] :
% 5.55/5.82 ( ( mem @ V2243e11 @ A_27a )
% 5.55/5.82 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2232l_27 ) ) )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2233e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2234e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2235e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2236e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2237e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2238e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2239e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2240e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2241e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2242e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2243e11 ) @ V2232l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.82 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.82 <=> ? [V2244l_27: $i] :
% 5.55/5.82 ( ( mem @ V2244l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2245e1: $i] :
% 5.55/5.82 ( ( mem @ V2245e1 @ A_27a )
% 5.55/5.82 & ? [V2246e2: $i] :
% 5.55/5.82 ( ( mem @ V2246e2 @ A_27a )
% 5.55/5.82 & ? [V2247e3: $i] :
% 5.55/5.82 ( ( mem @ V2247e3 @ A_27a )
% 5.55/5.82 & ? [V2248e4: $i] :
% 5.55/5.82 ( ( mem @ V2248e4 @ A_27a )
% 5.55/5.82 & ? [V2249e5: $i] :
% 5.55/5.82 ( ( mem @ V2249e5 @ A_27a )
% 5.55/5.82 & ? [V2250e6: $i] :
% 5.55/5.82 ( ( mem @ V2250e6 @ A_27a )
% 5.55/5.82 & ? [V2251e7: $i] :
% 5.55/5.82 ( ( mem @ V2251e7 @ A_27a )
% 5.55/5.82 & ? [V2252e8: $i] :
% 5.55/5.82 ( ( mem @ V2252e8 @ A_27a )
% 5.55/5.82 & ? [V2253e9: $i] :
% 5.55/5.82 ( ( mem @ V2253e9 @ A_27a )
% 5.55/5.82 & ? [V2254e10: $i] :
% 5.55/5.82 ( ( mem @ V2254e10 @ A_27a )
% 5.55/5.82 & ? [V2255e11: $i] :
% 5.55/5.82 ( ( mem @ V2255e11 @ A_27a )
% 5.55/5.82 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2244l_27 ) )
% 5.55/5.82 = V1x )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2245e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2246e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2247e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2248e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2249e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2250e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2251e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2252e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2253e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2254e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2255e11 ) @ V2244l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.55/5.82 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V2256l_27: $i] :
% 5.55/5.82 ( ( mem @ V2256l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2257e1: $i] :
% 5.55/5.82 ( ( mem @ V2257e1 @ A_27a )
% 5.55/5.82 & ? [V2258e2: $i] :
% 5.55/5.82 ( ( mem @ V2258e2 @ A_27a )
% 5.55/5.82 & ? [V2259e3: $i] :
% 5.55/5.82 ( ( mem @ V2259e3 @ A_27a )
% 5.55/5.82 & ? [V2260e4: $i] :
% 5.55/5.82 ( ( mem @ V2260e4 @ A_27a )
% 5.55/5.82 & ? [V2261e5: $i] :
% 5.55/5.82 ( ( mem @ V2261e5 @ A_27a )
% 5.55/5.82 & ? [V2262e6: $i] :
% 5.55/5.82 ( ( mem @ V2262e6 @ A_27a )
% 5.55/5.82 & ? [V2263e7: $i] :
% 5.55/5.82 ( ( mem @ V2263e7 @ A_27a )
% 5.55/5.82 & ? [V2264e8: $i] :
% 5.55/5.82 ( ( mem @ V2264e8 @ A_27a )
% 5.55/5.82 & ? [V2265e9: $i] :
% 5.55/5.82 ( ( mem @ V2265e9 @ A_27a )
% 5.55/5.82 & ? [V2266e10: $i] :
% 5.55/5.82 ( ( mem @ V2266e10 @ A_27a )
% 5.55/5.82 & ? [V2267e11: $i] :
% 5.55/5.82 ( ( mem @ V2267e11 @ A_27a )
% 5.55/5.82 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2256l_27 ) )
% 5.55/5.82 = V1x )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2257e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2258e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2259e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2260e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2261e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2262e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2263e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2264e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2265e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2266e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2267e11 ) @ V2256l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.82 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.82 <=> ? [V2268l_27: $i] :
% 5.55/5.82 ( ( mem @ V2268l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2269e1: $i] :
% 5.55/5.82 ( ( mem @ V2269e1 @ A_27a )
% 5.55/5.82 & ? [V2270e2: $i] :
% 5.55/5.82 ( ( mem @ V2270e2 @ A_27a )
% 5.55/5.82 & ? [V2271e3: $i] :
% 5.55/5.82 ( ( mem @ V2271e3 @ A_27a )
% 5.55/5.82 & ? [V2272e4: $i] :
% 5.55/5.82 ( ( mem @ V2272e4 @ A_27a )
% 5.55/5.82 & ? [V2273e5: $i] :
% 5.55/5.82 ( ( mem @ V2273e5 @ A_27a )
% 5.55/5.82 & ? [V2274e6: $i] :
% 5.55/5.82 ( ( mem @ V2274e6 @ A_27a )
% 5.55/5.82 & ? [V2275e7: $i] :
% 5.55/5.82 ( ( mem @ V2275e7 @ A_27a )
% 5.55/5.82 & ? [V2276e8: $i] :
% 5.55/5.82 ( ( mem @ V2276e8 @ A_27a )
% 5.55/5.82 & ? [V2277e9: $i] :
% 5.55/5.82 ( ( mem @ V2277e9 @ A_27a )
% 5.55/5.82 & ? [V2278e10: $i] :
% 5.55/5.82 ( ( mem @ V2278e10 @ A_27a )
% 5.55/5.82 & ? [V2279e11: $i] :
% 5.55/5.82 ( ( mem @ V2279e11 @ A_27a )
% 5.55/5.82 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2268l_27 ) )
% 5.55/5.82 = V1x )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2269e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2270e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2271e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2272e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2273e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2274e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2275e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2276e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2277e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2278e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2279e11 ) @ V2268l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.82 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V2280l_27: $i] :
% 5.55/5.82 ( ( mem @ V2280l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2281e1: $i] :
% 5.55/5.82 ( ( mem @ V2281e1 @ A_27a )
% 5.55/5.82 & ? [V2282e2: $i] :
% 5.55/5.82 ( ( mem @ V2282e2 @ A_27a )
% 5.55/5.82 & ? [V2283e3: $i] :
% 5.55/5.82 ( ( mem @ V2283e3 @ A_27a )
% 5.55/5.82 & ? [V2284e4: $i] :
% 5.55/5.82 ( ( mem @ V2284e4 @ A_27a )
% 5.55/5.82 & ? [V2285e5: $i] :
% 5.55/5.82 ( ( mem @ V2285e5 @ A_27a )
% 5.55/5.82 & ? [V2286e6: $i] :
% 5.55/5.82 ( ( mem @ V2286e6 @ A_27a )
% 5.55/5.82 & ? [V2287e7: $i] :
% 5.55/5.82 ( ( mem @ V2287e7 @ A_27a )
% 5.55/5.82 & ? [V2288e8: $i] :
% 5.55/5.82 ( ( mem @ V2288e8 @ A_27a )
% 5.55/5.82 & ? [V2289e9: $i] :
% 5.55/5.82 ( ( mem @ V2289e9 @ A_27a )
% 5.55/5.82 & ? [V2290e10: $i] :
% 5.55/5.82 ( ( mem @ V2290e10 @ A_27a )
% 5.55/5.82 & ? [V2291e11: $i] :
% 5.55/5.82 ( ( mem @ V2291e11 @ A_27a )
% 5.55/5.82 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2280l_27 ) )
% 5.55/5.82 = V1x )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2281e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2282e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2283e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2284e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2285e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2286e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2287e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2288e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2289e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2290e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2291e11 ) @ V2280l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.82 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.82 <=> ? [V2292e1: $i] :
% 5.55/5.82 ( ( mem @ V2292e1 @ A_27a )
% 5.55/5.82 & ? [V2293e2: $i] :
% 5.55/5.82 ( ( mem @ V2293e2 @ A_27a )
% 5.55/5.82 & ? [V2294e3: $i] :
% 5.55/5.82 ( ( mem @ V2294e3 @ A_27a )
% 5.55/5.82 & ? [V2295e4: $i] :
% 5.55/5.82 ( ( mem @ V2295e4 @ A_27a )
% 5.55/5.82 & ? [V2296e5: $i] :
% 5.55/5.82 ( ( mem @ V2296e5 @ A_27a )
% 5.55/5.82 & ? [V2297e6: $i] :
% 5.55/5.82 ( ( mem @ V2297e6 @ A_27a )
% 5.55/5.82 & ? [V2298e7: $i] :
% 5.55/5.82 ( ( mem @ V2298e7 @ A_27a )
% 5.55/5.82 & ? [V2299e8: $i] :
% 5.55/5.82 ( ( mem @ V2299e8 @ A_27a )
% 5.55/5.82 & ? [V2300e9: $i] :
% 5.55/5.82 ( ( mem @ V2300e9 @ A_27a )
% 5.55/5.82 & ? [V2301e10: $i] :
% 5.55/5.82 ( ( mem @ V2301e10 @ A_27a )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2292e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2293e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2294e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2295e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2296e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2297e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2298e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2299e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2300e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2301e10 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.82 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V2302e1: $i] :
% 5.55/5.82 ( ( mem @ V2302e1 @ A_27a )
% 5.55/5.82 & ? [V2303e2: $i] :
% 5.55/5.82 ( ( mem @ V2303e2 @ A_27a )
% 5.55/5.82 & ? [V2304e3: $i] :
% 5.55/5.82 ( ( mem @ V2304e3 @ A_27a )
% 5.55/5.82 & ? [V2305e4: $i] :
% 5.55/5.82 ( ( mem @ V2305e4 @ A_27a )
% 5.55/5.82 & ? [V2306e5: $i] :
% 5.55/5.82 ( ( mem @ V2306e5 @ A_27a )
% 5.55/5.82 & ? [V2307e6: $i] :
% 5.55/5.82 ( ( mem @ V2307e6 @ A_27a )
% 5.55/5.82 & ? [V2308e7: $i] :
% 5.55/5.82 ( ( mem @ V2308e7 @ A_27a )
% 5.55/5.82 & ? [V2309e8: $i] :
% 5.55/5.82 ( ( mem @ V2309e8 @ A_27a )
% 5.55/5.82 & ? [V2310e9: $i] :
% 5.55/5.82 ( ( mem @ V2310e9 @ A_27a )
% 5.55/5.82 & ? [V2311e10: $i] :
% 5.55/5.82 ( ( mem @ V2311e10 @ A_27a )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2302e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2303e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2304e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2305e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2306e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2307e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2308e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2309e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2310e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2311e10 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V2312l_27: $i] :
% 5.55/5.82 ( ( mem @ V2312l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2313e1: $i] :
% 5.55/5.82 ( ( mem @ V2313e1 @ A_27a )
% 5.55/5.82 & ? [V2314e2: $i] :
% 5.55/5.82 ( ( mem @ V2314e2 @ A_27a )
% 5.55/5.82 & ? [V2315e3: $i] :
% 5.55/5.82 ( ( mem @ V2315e3 @ A_27a )
% 5.55/5.82 & ? [V2316e4: $i] :
% 5.55/5.82 ( ( mem @ V2316e4 @ A_27a )
% 5.55/5.82 & ? [V2317e5: $i] :
% 5.55/5.82 ( ( mem @ V2317e5 @ A_27a )
% 5.55/5.82 & ? [V2318e6: $i] :
% 5.55/5.82 ( ( mem @ V2318e6 @ A_27a )
% 5.55/5.82 & ? [V2319e7: $i] :
% 5.55/5.82 ( ( mem @ V2319e7 @ A_27a )
% 5.55/5.82 & ? [V2320e8: $i] :
% 5.55/5.82 ( ( mem @ V2320e8 @ A_27a )
% 5.55/5.82 & ? [V2321e9: $i] :
% 5.55/5.82 ( ( mem @ V2321e9 @ A_27a )
% 5.55/5.82 & ? [V2322e10: $i] :
% 5.55/5.82 ( ( mem @ V2322e10 @ A_27a )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2313e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2314e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2315e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2316e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2317e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2318e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2319e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2320e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2321e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2322e10 ) @ V2312l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.82 <=> ? [V2323l_27: $i] :
% 5.55/5.82 ( ( mem @ V2323l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2324e1: $i] :
% 5.55/5.82 ( ( mem @ V2324e1 @ A_27a )
% 5.55/5.82 & ? [V2325e2: $i] :
% 5.55/5.82 ( ( mem @ V2325e2 @ A_27a )
% 5.55/5.82 & ? [V2326e3: $i] :
% 5.55/5.82 ( ( mem @ V2326e3 @ A_27a )
% 5.55/5.82 & ? [V2327e4: $i] :
% 5.55/5.82 ( ( mem @ V2327e4 @ A_27a )
% 5.55/5.82 & ? [V2328e5: $i] :
% 5.55/5.82 ( ( mem @ V2328e5 @ A_27a )
% 5.55/5.82 & ? [V2329e6: $i] :
% 5.55/5.82 ( ( mem @ V2329e6 @ A_27a )
% 5.55/5.82 & ? [V2330e7: $i] :
% 5.55/5.82 ( ( mem @ V2330e7 @ A_27a )
% 5.55/5.82 & ? [V2331e8: $i] :
% 5.55/5.82 ( ( mem @ V2331e8 @ A_27a )
% 5.55/5.82 & ? [V2332e9: $i] :
% 5.55/5.82 ( ( mem @ V2332e9 @ A_27a )
% 5.55/5.82 & ? [V2333e10: $i] :
% 5.55/5.82 ( ( mem @ V2333e10 @ A_27a )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2324e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2325e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2326e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2327e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2328e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2329e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2330e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2331e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2332e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2333e10 ) @ V2323l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V2334l_27: $i] :
% 5.55/5.82 ( ( mem @ V2334l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2335e1: $i] :
% 5.55/5.82 ( ( mem @ V2335e1 @ A_27a )
% 5.55/5.82 & ? [V2336e2: $i] :
% 5.55/5.82 ( ( mem @ V2336e2 @ A_27a )
% 5.55/5.82 & ? [V2337e3: $i] :
% 5.55/5.82 ( ( mem @ V2337e3 @ A_27a )
% 5.55/5.82 & ? [V2338e4: $i] :
% 5.55/5.82 ( ( mem @ V2338e4 @ A_27a )
% 5.55/5.82 & ? [V2339e5: $i] :
% 5.55/5.82 ( ( mem @ V2339e5 @ A_27a )
% 5.55/5.82 & ? [V2340e6: $i] :
% 5.55/5.82 ( ( mem @ V2340e6 @ A_27a )
% 5.55/5.82 & ? [V2341e7: $i] :
% 5.55/5.82 ( ( mem @ V2341e7 @ A_27a )
% 5.55/5.82 & ? [V2342e8: $i] :
% 5.55/5.82 ( ( mem @ V2342e8 @ A_27a )
% 5.55/5.82 & ? [V2343e9: $i] :
% 5.55/5.82 ( ( mem @ V2343e9 @ A_27a )
% 5.55/5.82 & ? [V2344e10: $i] :
% 5.55/5.82 ( ( mem @ V2344e10 @ A_27a )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2335e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2336e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2337e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2338e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2339e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2340e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2341e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2342e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2343e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2344e10 ) @ V2334l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.82 <=> ? [V2345l_27: $i] :
% 5.55/5.82 ( ( mem @ V2345l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2346e1: $i] :
% 5.55/5.82 ( ( mem @ V2346e1 @ A_27a )
% 5.55/5.82 & ? [V2347e2: $i] :
% 5.55/5.82 ( ( mem @ V2347e2 @ A_27a )
% 5.55/5.82 & ? [V2348e3: $i] :
% 5.55/5.82 ( ( mem @ V2348e3 @ A_27a )
% 5.55/5.82 & ? [V2349e4: $i] :
% 5.55/5.82 ( ( mem @ V2349e4 @ A_27a )
% 5.55/5.82 & ? [V2350e5: $i] :
% 5.55/5.82 ( ( mem @ V2350e5 @ A_27a )
% 5.55/5.82 & ? [V2351e6: $i] :
% 5.55/5.82 ( ( mem @ V2351e6 @ A_27a )
% 5.55/5.82 & ? [V2352e7: $i] :
% 5.55/5.82 ( ( mem @ V2352e7 @ A_27a )
% 5.55/5.82 & ? [V2353e8: $i] :
% 5.55/5.82 ( ( mem @ V2353e8 @ A_27a )
% 5.55/5.82 & ? [V2354e9: $i] :
% 5.55/5.82 ( ( mem @ V2354e9 @ A_27a )
% 5.55/5.82 & ? [V2355e10: $i] :
% 5.55/5.82 ( ( mem @ V2355e10 @ A_27a )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2346e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2347e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2348e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2349e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2350e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2351e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2352e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2353e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2354e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2355e10 ) @ V2345l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V2356l_27: $i] :
% 5.55/5.82 ( ( mem @ V2356l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2357e1: $i] :
% 5.55/5.82 ( ( mem @ V2357e1 @ A_27a )
% 5.55/5.82 & ? [V2358e2: $i] :
% 5.55/5.82 ( ( mem @ V2358e2 @ A_27a )
% 5.55/5.82 & ? [V2359e3: $i] :
% 5.55/5.82 ( ( mem @ V2359e3 @ A_27a )
% 5.55/5.82 & ? [V2360e4: $i] :
% 5.55/5.82 ( ( mem @ V2360e4 @ A_27a )
% 5.55/5.82 & ? [V2361e5: $i] :
% 5.55/5.82 ( ( mem @ V2361e5 @ A_27a )
% 5.55/5.82 & ? [V2362e6: $i] :
% 5.55/5.82 ( ( mem @ V2362e6 @ A_27a )
% 5.55/5.82 & ? [V2363e7: $i] :
% 5.55/5.82 ( ( mem @ V2363e7 @ A_27a )
% 5.55/5.82 & ? [V2364e8: $i] :
% 5.55/5.82 ( ( mem @ V2364e8 @ A_27a )
% 5.55/5.82 & ? [V2365e9: $i] :
% 5.55/5.82 ( ( mem @ V2365e9 @ A_27a )
% 5.55/5.82 & ? [V2366e10: $i] :
% 5.55/5.82 ( ( mem @ V2366e10 @ A_27a )
% 5.55/5.82 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2356l_27 ) ) )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2357e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2358e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2359e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2360e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2361e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2362e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2363e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2364e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2365e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2366e10 ) @ V2356l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.82 <=> ? [V2367l_27: $i] :
% 5.55/5.82 ( ( mem @ V2367l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2368e1: $i] :
% 5.55/5.82 ( ( mem @ V2368e1 @ A_27a )
% 5.55/5.82 & ? [V2369e2: $i] :
% 5.55/5.82 ( ( mem @ V2369e2 @ A_27a )
% 5.55/5.82 & ? [V2370e3: $i] :
% 5.55/5.82 ( ( mem @ V2370e3 @ A_27a )
% 5.55/5.82 & ? [V2371e4: $i] :
% 5.55/5.82 ( ( mem @ V2371e4 @ A_27a )
% 5.55/5.82 & ? [V2372e5: $i] :
% 5.55/5.82 ( ( mem @ V2372e5 @ A_27a )
% 5.55/5.82 & ? [V2373e6: $i] :
% 5.55/5.82 ( ( mem @ V2373e6 @ A_27a )
% 5.55/5.82 & ? [V2374e7: $i] :
% 5.55/5.82 ( ( mem @ V2374e7 @ A_27a )
% 5.55/5.82 & ? [V2375e8: $i] :
% 5.55/5.82 ( ( mem @ V2375e8 @ A_27a )
% 5.55/5.82 & ? [V2376e9: $i] :
% 5.55/5.82 ( ( mem @ V2376e9 @ A_27a )
% 5.55/5.82 & ? [V2377e10: $i] :
% 5.55/5.82 ( ( mem @ V2377e10 @ A_27a )
% 5.55/5.82 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2367l_27 ) ) )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2368e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2369e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2370e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2371e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2372e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2373e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2374e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2375e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2376e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2377e10 ) @ V2367l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V2378l_27: $i] :
% 5.55/5.82 ( ( mem @ V2378l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2379e1: $i] :
% 5.55/5.82 ( ( mem @ V2379e1 @ A_27a )
% 5.55/5.82 & ? [V2380e2: $i] :
% 5.55/5.82 ( ( mem @ V2380e2 @ A_27a )
% 5.55/5.82 & ? [V2381e3: $i] :
% 5.55/5.82 ( ( mem @ V2381e3 @ A_27a )
% 5.55/5.82 & ? [V2382e4: $i] :
% 5.55/5.82 ( ( mem @ V2382e4 @ A_27a )
% 5.55/5.82 & ? [V2383e5: $i] :
% 5.55/5.82 ( ( mem @ V2383e5 @ A_27a )
% 5.55/5.82 & ? [V2384e6: $i] :
% 5.55/5.82 ( ( mem @ V2384e6 @ A_27a )
% 5.55/5.82 & ? [V2385e7: $i] :
% 5.55/5.82 ( ( mem @ V2385e7 @ A_27a )
% 5.55/5.82 & ? [V2386e8: $i] :
% 5.55/5.82 ( ( mem @ V2386e8 @ A_27a )
% 5.55/5.82 & ? [V2387e9: $i] :
% 5.55/5.82 ( ( mem @ V2387e9 @ A_27a )
% 5.55/5.82 & ? [V2388e10: $i] :
% 5.55/5.82 ( ( mem @ V2388e10 @ A_27a )
% 5.55/5.82 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2378l_27 ) ) )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2379e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2380e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2381e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2382e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2383e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2384e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2385e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2386e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2387e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2388e10 ) @ V2378l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.82 <=> ? [V2389l_27: $i] :
% 5.55/5.82 ( ( mem @ V2389l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2390e1: $i] :
% 5.55/5.82 ( ( mem @ V2390e1 @ A_27a )
% 5.55/5.82 & ? [V2391e2: $i] :
% 5.55/5.82 ( ( mem @ V2391e2 @ A_27a )
% 5.55/5.82 & ? [V2392e3: $i] :
% 5.55/5.82 ( ( mem @ V2392e3 @ A_27a )
% 5.55/5.82 & ? [V2393e4: $i] :
% 5.55/5.82 ( ( mem @ V2393e4 @ A_27a )
% 5.55/5.82 & ? [V2394e5: $i] :
% 5.55/5.82 ( ( mem @ V2394e5 @ A_27a )
% 5.55/5.82 & ? [V2395e6: $i] :
% 5.55/5.82 ( ( mem @ V2395e6 @ A_27a )
% 5.55/5.82 & ? [V2396e7: $i] :
% 5.55/5.82 ( ( mem @ V2396e7 @ A_27a )
% 5.55/5.82 & ? [V2397e8: $i] :
% 5.55/5.82 ( ( mem @ V2397e8 @ A_27a )
% 5.55/5.82 & ? [V2398e9: $i] :
% 5.55/5.82 ( ( mem @ V2398e9 @ A_27a )
% 5.55/5.82 & ? [V2399e10: $i] :
% 5.55/5.82 ( ( mem @ V2399e10 @ A_27a )
% 5.55/5.82 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2389l_27 ) ) )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2390e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2391e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2392e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2393e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2394e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2395e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2396e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2397e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2398e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2399e10 ) @ V2389l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.82 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.82 <=> ? [V2400l_27: $i] :
% 5.55/5.82 ( ( mem @ V2400l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2401e1: $i] :
% 5.55/5.82 ( ( mem @ V2401e1 @ A_27a )
% 5.55/5.82 & ? [V2402e2: $i] :
% 5.55/5.82 ( ( mem @ V2402e2 @ A_27a )
% 5.55/5.82 & ? [V2403e3: $i] :
% 5.55/5.82 ( ( mem @ V2403e3 @ A_27a )
% 5.55/5.82 & ? [V2404e4: $i] :
% 5.55/5.82 ( ( mem @ V2404e4 @ A_27a )
% 5.55/5.82 & ? [V2405e5: $i] :
% 5.55/5.82 ( ( mem @ V2405e5 @ A_27a )
% 5.55/5.82 & ? [V2406e6: $i] :
% 5.55/5.82 ( ( mem @ V2406e6 @ A_27a )
% 5.55/5.82 & ? [V2407e7: $i] :
% 5.55/5.82 ( ( mem @ V2407e7 @ A_27a )
% 5.55/5.82 & ? [V2408e8: $i] :
% 5.55/5.82 ( ( mem @ V2408e8 @ A_27a )
% 5.55/5.82 & ? [V2409e9: $i] :
% 5.55/5.82 ( ( mem @ V2409e9 @ A_27a )
% 5.55/5.82 & ? [V2410e10: $i] :
% 5.55/5.82 ( ( mem @ V2410e10 @ A_27a )
% 5.55/5.82 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2400l_27 ) )
% 5.55/5.82 = V1x )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2401e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2402e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2403e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2404e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2405e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2406e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2407e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2408e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2409e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2410e10 ) @ V2400l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.55/5.82 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V2411l_27: $i] :
% 5.55/5.82 ( ( mem @ V2411l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2412e1: $i] :
% 5.55/5.82 ( ( mem @ V2412e1 @ A_27a )
% 5.55/5.82 & ? [V2413e2: $i] :
% 5.55/5.82 ( ( mem @ V2413e2 @ A_27a )
% 5.55/5.82 & ? [V2414e3: $i] :
% 5.55/5.82 ( ( mem @ V2414e3 @ A_27a )
% 5.55/5.82 & ? [V2415e4: $i] :
% 5.55/5.82 ( ( mem @ V2415e4 @ A_27a )
% 5.55/5.82 & ? [V2416e5: $i] :
% 5.55/5.82 ( ( mem @ V2416e5 @ A_27a )
% 5.55/5.82 & ? [V2417e6: $i] :
% 5.55/5.82 ( ( mem @ V2417e6 @ A_27a )
% 5.55/5.82 & ? [V2418e7: $i] :
% 5.55/5.82 ( ( mem @ V2418e7 @ A_27a )
% 5.55/5.82 & ? [V2419e8: $i] :
% 5.55/5.82 ( ( mem @ V2419e8 @ A_27a )
% 5.55/5.82 & ? [V2420e9: $i] :
% 5.55/5.82 ( ( mem @ V2420e9 @ A_27a )
% 5.55/5.82 & ? [V2421e10: $i] :
% 5.55/5.82 ( ( mem @ V2421e10 @ A_27a )
% 5.55/5.82 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2411l_27 ) )
% 5.55/5.82 = V1x )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2412e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2413e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2414e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2415e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2416e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2417e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2418e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2419e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2420e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2421e10 ) @ V2411l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.82 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.82 <=> ? [V2422l_27: $i] :
% 5.55/5.82 ( ( mem @ V2422l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2423e1: $i] :
% 5.55/5.82 ( ( mem @ V2423e1 @ A_27a )
% 5.55/5.82 & ? [V2424e2: $i] :
% 5.55/5.82 ( ( mem @ V2424e2 @ A_27a )
% 5.55/5.82 & ? [V2425e3: $i] :
% 5.55/5.82 ( ( mem @ V2425e3 @ A_27a )
% 5.55/5.82 & ? [V2426e4: $i] :
% 5.55/5.82 ( ( mem @ V2426e4 @ A_27a )
% 5.55/5.82 & ? [V2427e5: $i] :
% 5.55/5.82 ( ( mem @ V2427e5 @ A_27a )
% 5.55/5.82 & ? [V2428e6: $i] :
% 5.55/5.82 ( ( mem @ V2428e6 @ A_27a )
% 5.55/5.82 & ? [V2429e7: $i] :
% 5.55/5.82 ( ( mem @ V2429e7 @ A_27a )
% 5.55/5.82 & ? [V2430e8: $i] :
% 5.55/5.82 ( ( mem @ V2430e8 @ A_27a )
% 5.55/5.82 & ? [V2431e9: $i] :
% 5.55/5.82 ( ( mem @ V2431e9 @ A_27a )
% 5.55/5.82 & ? [V2432e10: $i] :
% 5.55/5.82 ( ( mem @ V2432e10 @ A_27a )
% 5.55/5.82 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2422l_27 ) )
% 5.55/5.82 = V1x )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2423e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2424e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2425e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2426e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2427e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2428e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2429e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2430e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2431e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2432e10 ) @ V2422l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.82 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V2433l_27: $i] :
% 5.55/5.82 ( ( mem @ V2433l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2434e1: $i] :
% 5.55/5.82 ( ( mem @ V2434e1 @ A_27a )
% 5.55/5.82 & ? [V2435e2: $i] :
% 5.55/5.82 ( ( mem @ V2435e2 @ A_27a )
% 5.55/5.82 & ? [V2436e3: $i] :
% 5.55/5.82 ( ( mem @ V2436e3 @ A_27a )
% 5.55/5.82 & ? [V2437e4: $i] :
% 5.55/5.82 ( ( mem @ V2437e4 @ A_27a )
% 5.55/5.82 & ? [V2438e5: $i] :
% 5.55/5.82 ( ( mem @ V2438e5 @ A_27a )
% 5.55/5.82 & ? [V2439e6: $i] :
% 5.55/5.82 ( ( mem @ V2439e6 @ A_27a )
% 5.55/5.82 & ? [V2440e7: $i] :
% 5.55/5.82 ( ( mem @ V2440e7 @ A_27a )
% 5.55/5.82 & ? [V2441e8: $i] :
% 5.55/5.82 ( ( mem @ V2441e8 @ A_27a )
% 5.55/5.82 & ? [V2442e9: $i] :
% 5.55/5.82 ( ( mem @ V2442e9 @ A_27a )
% 5.55/5.82 & ? [V2443e10: $i] :
% 5.55/5.82 ( ( mem @ V2443e10 @ A_27a )
% 5.55/5.82 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2433l_27 ) )
% 5.55/5.82 = V1x )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2434e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2435e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2436e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2437e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2438e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2439e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2440e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2441e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2442e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2443e10 ) @ V2433l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.82 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.82 <=> ? [V2444e1: $i] :
% 5.55/5.82 ( ( mem @ V2444e1 @ A_27a )
% 5.55/5.82 & ? [V2445e2: $i] :
% 5.55/5.82 ( ( mem @ V2445e2 @ A_27a )
% 5.55/5.82 & ? [V2446e3: $i] :
% 5.55/5.82 ( ( mem @ V2446e3 @ A_27a )
% 5.55/5.82 & ? [V2447e4: $i] :
% 5.55/5.82 ( ( mem @ V2447e4 @ A_27a )
% 5.55/5.82 & ? [V2448e5: $i] :
% 5.55/5.82 ( ( mem @ V2448e5 @ A_27a )
% 5.55/5.82 & ? [V2449e6: $i] :
% 5.55/5.82 ( ( mem @ V2449e6 @ A_27a )
% 5.55/5.82 & ? [V2450e7: $i] :
% 5.55/5.82 ( ( mem @ V2450e7 @ A_27a )
% 5.55/5.82 & ? [V2451e8: $i] :
% 5.55/5.82 ( ( mem @ V2451e8 @ A_27a )
% 5.55/5.82 & ? [V2452e9: $i] :
% 5.55/5.82 ( ( mem @ V2452e9 @ A_27a )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2444e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2445e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2446e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2447e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2448e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2449e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2450e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2451e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2452e9 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.82 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V2453e1: $i] :
% 5.55/5.82 ( ( mem @ V2453e1 @ A_27a )
% 5.55/5.82 & ? [V2454e2: $i] :
% 5.55/5.82 ( ( mem @ V2454e2 @ A_27a )
% 5.55/5.82 & ? [V2455e3: $i] :
% 5.55/5.82 ( ( mem @ V2455e3 @ A_27a )
% 5.55/5.82 & ? [V2456e4: $i] :
% 5.55/5.82 ( ( mem @ V2456e4 @ A_27a )
% 5.55/5.82 & ? [V2457e5: $i] :
% 5.55/5.82 ( ( mem @ V2457e5 @ A_27a )
% 5.55/5.82 & ? [V2458e6: $i] :
% 5.55/5.82 ( ( mem @ V2458e6 @ A_27a )
% 5.55/5.82 & ? [V2459e7: $i] :
% 5.55/5.82 ( ( mem @ V2459e7 @ A_27a )
% 5.55/5.82 & ? [V2460e8: $i] :
% 5.55/5.82 ( ( mem @ V2460e8 @ A_27a )
% 5.55/5.82 & ? [V2461e9: $i] :
% 5.55/5.82 ( ( mem @ V2461e9 @ A_27a )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2453e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2454e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2455e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2456e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2457e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2458e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2459e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2460e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2461e9 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V2462l_27: $i] :
% 5.55/5.82 ( ( mem @ V2462l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2463e1: $i] :
% 5.55/5.82 ( ( mem @ V2463e1 @ A_27a )
% 5.55/5.82 & ? [V2464e2: $i] :
% 5.55/5.82 ( ( mem @ V2464e2 @ A_27a )
% 5.55/5.82 & ? [V2465e3: $i] :
% 5.55/5.82 ( ( mem @ V2465e3 @ A_27a )
% 5.55/5.82 & ? [V2466e4: $i] :
% 5.55/5.82 ( ( mem @ V2466e4 @ A_27a )
% 5.55/5.82 & ? [V2467e5: $i] :
% 5.55/5.82 ( ( mem @ V2467e5 @ A_27a )
% 5.55/5.82 & ? [V2468e6: $i] :
% 5.55/5.82 ( ( mem @ V2468e6 @ A_27a )
% 5.55/5.82 & ? [V2469e7: $i] :
% 5.55/5.82 ( ( mem @ V2469e7 @ A_27a )
% 5.55/5.82 & ? [V2470e8: $i] :
% 5.55/5.82 ( ( mem @ V2470e8 @ A_27a )
% 5.55/5.82 & ? [V2471e9: $i] :
% 5.55/5.82 ( ( mem @ V2471e9 @ A_27a )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2463e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2464e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2465e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2466e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2467e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2468e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2469e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2470e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2471e9 ) @ V2462l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.82 <=> ? [V2472l_27: $i] :
% 5.55/5.82 ( ( mem @ V2472l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2473e1: $i] :
% 5.55/5.82 ( ( mem @ V2473e1 @ A_27a )
% 5.55/5.82 & ? [V2474e2: $i] :
% 5.55/5.82 ( ( mem @ V2474e2 @ A_27a )
% 5.55/5.82 & ? [V2475e3: $i] :
% 5.55/5.82 ( ( mem @ V2475e3 @ A_27a )
% 5.55/5.82 & ? [V2476e4: $i] :
% 5.55/5.82 ( ( mem @ V2476e4 @ A_27a )
% 5.55/5.82 & ? [V2477e5: $i] :
% 5.55/5.82 ( ( mem @ V2477e5 @ A_27a )
% 5.55/5.82 & ? [V2478e6: $i] :
% 5.55/5.82 ( ( mem @ V2478e6 @ A_27a )
% 5.55/5.82 & ? [V2479e7: $i] :
% 5.55/5.82 ( ( mem @ V2479e7 @ A_27a )
% 5.55/5.82 & ? [V2480e8: $i] :
% 5.55/5.82 ( ( mem @ V2480e8 @ A_27a )
% 5.55/5.82 & ? [V2481e9: $i] :
% 5.55/5.82 ( ( mem @ V2481e9 @ A_27a )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2473e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2474e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2475e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2476e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2477e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2478e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2479e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2480e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2481e9 ) @ V2472l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V2482l_27: $i] :
% 5.55/5.82 ( ( mem @ V2482l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2483e1: $i] :
% 5.55/5.82 ( ( mem @ V2483e1 @ A_27a )
% 5.55/5.82 & ? [V2484e2: $i] :
% 5.55/5.82 ( ( mem @ V2484e2 @ A_27a )
% 5.55/5.82 & ? [V2485e3: $i] :
% 5.55/5.82 ( ( mem @ V2485e3 @ A_27a )
% 5.55/5.82 & ? [V2486e4: $i] :
% 5.55/5.82 ( ( mem @ V2486e4 @ A_27a )
% 5.55/5.82 & ? [V2487e5: $i] :
% 5.55/5.82 ( ( mem @ V2487e5 @ A_27a )
% 5.55/5.82 & ? [V2488e6: $i] :
% 5.55/5.82 ( ( mem @ V2488e6 @ A_27a )
% 5.55/5.82 & ? [V2489e7: $i] :
% 5.55/5.82 ( ( mem @ V2489e7 @ A_27a )
% 5.55/5.82 & ? [V2490e8: $i] :
% 5.55/5.82 ( ( mem @ V2490e8 @ A_27a )
% 5.55/5.82 & ? [V2491e9: $i] :
% 5.55/5.82 ( ( mem @ V2491e9 @ A_27a )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2483e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2484e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2485e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2486e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2487e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2488e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2489e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2490e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2491e9 ) @ V2482l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.82 <=> ? [V2492l_27: $i] :
% 5.55/5.82 ( ( mem @ V2492l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2493e1: $i] :
% 5.55/5.82 ( ( mem @ V2493e1 @ A_27a )
% 5.55/5.82 & ? [V2494e2: $i] :
% 5.55/5.82 ( ( mem @ V2494e2 @ A_27a )
% 5.55/5.82 & ? [V2495e3: $i] :
% 5.55/5.82 ( ( mem @ V2495e3 @ A_27a )
% 5.55/5.82 & ? [V2496e4: $i] :
% 5.55/5.82 ( ( mem @ V2496e4 @ A_27a )
% 5.55/5.82 & ? [V2497e5: $i] :
% 5.55/5.82 ( ( mem @ V2497e5 @ A_27a )
% 5.55/5.82 & ? [V2498e6: $i] :
% 5.55/5.82 ( ( mem @ V2498e6 @ A_27a )
% 5.55/5.82 & ? [V2499e7: $i] :
% 5.55/5.82 ( ( mem @ V2499e7 @ A_27a )
% 5.55/5.82 & ? [V2500e8: $i] :
% 5.55/5.82 ( ( mem @ V2500e8 @ A_27a )
% 5.55/5.82 & ? [V2501e9: $i] :
% 5.55/5.82 ( ( mem @ V2501e9 @ A_27a )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2493e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2494e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2495e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2496e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2497e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2498e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2499e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2500e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2501e9 ) @ V2492l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V2502l_27: $i] :
% 5.55/5.82 ( ( mem @ V2502l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2503e1: $i] :
% 5.55/5.82 ( ( mem @ V2503e1 @ A_27a )
% 5.55/5.82 & ? [V2504e2: $i] :
% 5.55/5.82 ( ( mem @ V2504e2 @ A_27a )
% 5.55/5.82 & ? [V2505e3: $i] :
% 5.55/5.82 ( ( mem @ V2505e3 @ A_27a )
% 5.55/5.82 & ? [V2506e4: $i] :
% 5.55/5.82 ( ( mem @ V2506e4 @ A_27a )
% 5.55/5.82 & ? [V2507e5: $i] :
% 5.55/5.82 ( ( mem @ V2507e5 @ A_27a )
% 5.55/5.82 & ? [V2508e6: $i] :
% 5.55/5.82 ( ( mem @ V2508e6 @ A_27a )
% 5.55/5.82 & ? [V2509e7: $i] :
% 5.55/5.82 ( ( mem @ V2509e7 @ A_27a )
% 5.55/5.82 & ? [V2510e8: $i] :
% 5.55/5.82 ( ( mem @ V2510e8 @ A_27a )
% 5.55/5.82 & ? [V2511e9: $i] :
% 5.55/5.82 ( ( mem @ V2511e9 @ A_27a )
% 5.55/5.82 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2502l_27 ) ) )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2503e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2504e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2505e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2506e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2507e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2508e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2509e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2510e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2511e9 ) @ V2502l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.82 <=> ? [V2512l_27: $i] :
% 5.55/5.82 ( ( mem @ V2512l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2513e1: $i] :
% 5.55/5.82 ( ( mem @ V2513e1 @ A_27a )
% 5.55/5.82 & ? [V2514e2: $i] :
% 5.55/5.82 ( ( mem @ V2514e2 @ A_27a )
% 5.55/5.82 & ? [V2515e3: $i] :
% 5.55/5.82 ( ( mem @ V2515e3 @ A_27a )
% 5.55/5.82 & ? [V2516e4: $i] :
% 5.55/5.82 ( ( mem @ V2516e4 @ A_27a )
% 5.55/5.82 & ? [V2517e5: $i] :
% 5.55/5.82 ( ( mem @ V2517e5 @ A_27a )
% 5.55/5.82 & ? [V2518e6: $i] :
% 5.55/5.82 ( ( mem @ V2518e6 @ A_27a )
% 5.55/5.82 & ? [V2519e7: $i] :
% 5.55/5.82 ( ( mem @ V2519e7 @ A_27a )
% 5.55/5.82 & ? [V2520e8: $i] :
% 5.55/5.82 ( ( mem @ V2520e8 @ A_27a )
% 5.55/5.82 & ? [V2521e9: $i] :
% 5.55/5.82 ( ( mem @ V2521e9 @ A_27a )
% 5.55/5.82 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2512l_27 ) ) )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2513e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2514e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2515e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2516e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2517e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2518e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2519e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2520e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2521e9 ) @ V2512l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V2522l_27: $i] :
% 5.55/5.82 ( ( mem @ V2522l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2523e1: $i] :
% 5.55/5.82 ( ( mem @ V2523e1 @ A_27a )
% 5.55/5.82 & ? [V2524e2: $i] :
% 5.55/5.82 ( ( mem @ V2524e2 @ A_27a )
% 5.55/5.82 & ? [V2525e3: $i] :
% 5.55/5.82 ( ( mem @ V2525e3 @ A_27a )
% 5.55/5.82 & ? [V2526e4: $i] :
% 5.55/5.82 ( ( mem @ V2526e4 @ A_27a )
% 5.55/5.82 & ? [V2527e5: $i] :
% 5.55/5.82 ( ( mem @ V2527e5 @ A_27a )
% 5.55/5.82 & ? [V2528e6: $i] :
% 5.55/5.82 ( ( mem @ V2528e6 @ A_27a )
% 5.55/5.82 & ? [V2529e7: $i] :
% 5.55/5.82 ( ( mem @ V2529e7 @ A_27a )
% 5.55/5.82 & ? [V2530e8: $i] :
% 5.55/5.82 ( ( mem @ V2530e8 @ A_27a )
% 5.55/5.82 & ? [V2531e9: $i] :
% 5.55/5.82 ( ( mem @ V2531e9 @ A_27a )
% 5.55/5.82 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2522l_27 ) ) )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2523e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2524e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2525e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2526e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2527e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2528e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2529e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2530e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2531e9 ) @ V2522l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.82 <=> ? [V2532l_27: $i] :
% 5.55/5.82 ( ( mem @ V2532l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2533e1: $i] :
% 5.55/5.82 ( ( mem @ V2533e1 @ A_27a )
% 5.55/5.82 & ? [V2534e2: $i] :
% 5.55/5.82 ( ( mem @ V2534e2 @ A_27a )
% 5.55/5.82 & ? [V2535e3: $i] :
% 5.55/5.82 ( ( mem @ V2535e3 @ A_27a )
% 5.55/5.82 & ? [V2536e4: $i] :
% 5.55/5.82 ( ( mem @ V2536e4 @ A_27a )
% 5.55/5.82 & ? [V2537e5: $i] :
% 5.55/5.82 ( ( mem @ V2537e5 @ A_27a )
% 5.55/5.82 & ? [V2538e6: $i] :
% 5.55/5.82 ( ( mem @ V2538e6 @ A_27a )
% 5.55/5.82 & ? [V2539e7: $i] :
% 5.55/5.82 ( ( mem @ V2539e7 @ A_27a )
% 5.55/5.82 & ? [V2540e8: $i] :
% 5.55/5.82 ( ( mem @ V2540e8 @ A_27a )
% 5.55/5.82 & ? [V2541e9: $i] :
% 5.55/5.82 ( ( mem @ V2541e9 @ A_27a )
% 5.55/5.82 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2532l_27 ) ) )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2533e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2534e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2535e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2536e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2537e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2538e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2539e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2540e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2541e9 ) @ V2532l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.82 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.82 <=> ? [V2542l_27: $i] :
% 5.55/5.82 ( ( mem @ V2542l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2543e1: $i] :
% 5.55/5.82 ( ( mem @ V2543e1 @ A_27a )
% 5.55/5.82 & ? [V2544e2: $i] :
% 5.55/5.82 ( ( mem @ V2544e2 @ A_27a )
% 5.55/5.82 & ? [V2545e3: $i] :
% 5.55/5.82 ( ( mem @ V2545e3 @ A_27a )
% 5.55/5.82 & ? [V2546e4: $i] :
% 5.55/5.82 ( ( mem @ V2546e4 @ A_27a )
% 5.55/5.82 & ? [V2547e5: $i] :
% 5.55/5.82 ( ( mem @ V2547e5 @ A_27a )
% 5.55/5.82 & ? [V2548e6: $i] :
% 5.55/5.82 ( ( mem @ V2548e6 @ A_27a )
% 5.55/5.82 & ? [V2549e7: $i] :
% 5.55/5.82 ( ( mem @ V2549e7 @ A_27a )
% 5.55/5.82 & ? [V2550e8: $i] :
% 5.55/5.82 ( ( mem @ V2550e8 @ A_27a )
% 5.55/5.82 & ? [V2551e9: $i] :
% 5.55/5.82 ( ( mem @ V2551e9 @ A_27a )
% 5.55/5.82 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2542l_27 ) )
% 5.55/5.82 = V1x )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2543e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2544e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2545e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2546e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2547e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2548e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2549e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2550e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2551e9 ) @ V2542l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.55/5.82 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V2552l_27: $i] :
% 5.55/5.82 ( ( mem @ V2552l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2553e1: $i] :
% 5.55/5.82 ( ( mem @ V2553e1 @ A_27a )
% 5.55/5.82 & ? [V2554e2: $i] :
% 5.55/5.82 ( ( mem @ V2554e2 @ A_27a )
% 5.55/5.82 & ? [V2555e3: $i] :
% 5.55/5.82 ( ( mem @ V2555e3 @ A_27a )
% 5.55/5.82 & ? [V2556e4: $i] :
% 5.55/5.82 ( ( mem @ V2556e4 @ A_27a )
% 5.55/5.82 & ? [V2557e5: $i] :
% 5.55/5.82 ( ( mem @ V2557e5 @ A_27a )
% 5.55/5.82 & ? [V2558e6: $i] :
% 5.55/5.82 ( ( mem @ V2558e6 @ A_27a )
% 5.55/5.82 & ? [V2559e7: $i] :
% 5.55/5.82 ( ( mem @ V2559e7 @ A_27a )
% 5.55/5.82 & ? [V2560e8: $i] :
% 5.55/5.82 ( ( mem @ V2560e8 @ A_27a )
% 5.55/5.82 & ? [V2561e9: $i] :
% 5.55/5.82 ( ( mem @ V2561e9 @ A_27a )
% 5.55/5.82 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2552l_27 ) )
% 5.55/5.82 = V1x )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2553e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2554e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2555e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2556e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2557e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2558e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2559e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2560e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2561e9 ) @ V2552l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.82 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.82 <=> ? [V2562l_27: $i] :
% 5.55/5.82 ( ( mem @ V2562l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2563e1: $i] :
% 5.55/5.82 ( ( mem @ V2563e1 @ A_27a )
% 5.55/5.82 & ? [V2564e2: $i] :
% 5.55/5.82 ( ( mem @ V2564e2 @ A_27a )
% 5.55/5.82 & ? [V2565e3: $i] :
% 5.55/5.82 ( ( mem @ V2565e3 @ A_27a )
% 5.55/5.82 & ? [V2566e4: $i] :
% 5.55/5.82 ( ( mem @ V2566e4 @ A_27a )
% 5.55/5.82 & ? [V2567e5: $i] :
% 5.55/5.82 ( ( mem @ V2567e5 @ A_27a )
% 5.55/5.82 & ? [V2568e6: $i] :
% 5.55/5.82 ( ( mem @ V2568e6 @ A_27a )
% 5.55/5.82 & ? [V2569e7: $i] :
% 5.55/5.82 ( ( mem @ V2569e7 @ A_27a )
% 5.55/5.82 & ? [V2570e8: $i] :
% 5.55/5.82 ( ( mem @ V2570e8 @ A_27a )
% 5.55/5.82 & ? [V2571e9: $i] :
% 5.55/5.82 ( ( mem @ V2571e9 @ A_27a )
% 5.55/5.82 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2562l_27 ) )
% 5.55/5.82 = V1x )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2563e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2564e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2565e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2566e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2567e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2568e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2569e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2570e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2571e9 ) @ V2562l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.82 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V2572l_27: $i] :
% 5.55/5.82 ( ( mem @ V2572l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2573e1: $i] :
% 5.55/5.82 ( ( mem @ V2573e1 @ A_27a )
% 5.55/5.82 & ? [V2574e2: $i] :
% 5.55/5.82 ( ( mem @ V2574e2 @ A_27a )
% 5.55/5.82 & ? [V2575e3: $i] :
% 5.55/5.82 ( ( mem @ V2575e3 @ A_27a )
% 5.55/5.82 & ? [V2576e4: $i] :
% 5.55/5.82 ( ( mem @ V2576e4 @ A_27a )
% 5.55/5.82 & ? [V2577e5: $i] :
% 5.55/5.82 ( ( mem @ V2577e5 @ A_27a )
% 5.55/5.82 & ? [V2578e6: $i] :
% 5.55/5.82 ( ( mem @ V2578e6 @ A_27a )
% 5.55/5.82 & ? [V2579e7: $i] :
% 5.55/5.82 ( ( mem @ V2579e7 @ A_27a )
% 5.55/5.82 & ? [V2580e8: $i] :
% 5.55/5.82 ( ( mem @ V2580e8 @ A_27a )
% 5.55/5.82 & ? [V2581e9: $i] :
% 5.55/5.82 ( ( mem @ V2581e9 @ A_27a )
% 5.55/5.82 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2572l_27 ) )
% 5.55/5.82 = V1x )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2573e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2574e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2575e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2576e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2577e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2578e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2579e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2580e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2581e9 ) @ V2572l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.82 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.82 <=> ? [V2582e1: $i] :
% 5.55/5.82 ( ( mem @ V2582e1 @ A_27a )
% 5.55/5.82 & ? [V2583e2: $i] :
% 5.55/5.82 ( ( mem @ V2583e2 @ A_27a )
% 5.55/5.82 & ? [V2584e3: $i] :
% 5.55/5.82 ( ( mem @ V2584e3 @ A_27a )
% 5.55/5.82 & ? [V2585e4: $i] :
% 5.55/5.82 ( ( mem @ V2585e4 @ A_27a )
% 5.55/5.82 & ? [V2586e5: $i] :
% 5.55/5.82 ( ( mem @ V2586e5 @ A_27a )
% 5.55/5.82 & ? [V2587e6: $i] :
% 5.55/5.82 ( ( mem @ V2587e6 @ A_27a )
% 5.55/5.82 & ? [V2588e7: $i] :
% 5.55/5.82 ( ( mem @ V2588e7 @ A_27a )
% 5.55/5.82 & ? [V2589e8: $i] :
% 5.55/5.82 ( ( mem @ V2589e8 @ A_27a )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2582e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2583e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2584e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2585e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2586e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2587e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2588e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2589e8 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.82 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V2590e1: $i] :
% 5.55/5.82 ( ( mem @ V2590e1 @ A_27a )
% 5.55/5.82 & ? [V2591e2: $i] :
% 5.55/5.82 ( ( mem @ V2591e2 @ A_27a )
% 5.55/5.82 & ? [V2592e3: $i] :
% 5.55/5.82 ( ( mem @ V2592e3 @ A_27a )
% 5.55/5.82 & ? [V2593e4: $i] :
% 5.55/5.82 ( ( mem @ V2593e4 @ A_27a )
% 5.55/5.82 & ? [V2594e5: $i] :
% 5.55/5.82 ( ( mem @ V2594e5 @ A_27a )
% 5.55/5.82 & ? [V2595e6: $i] :
% 5.55/5.82 ( ( mem @ V2595e6 @ A_27a )
% 5.55/5.82 & ? [V2596e7: $i] :
% 5.55/5.82 ( ( mem @ V2596e7 @ A_27a )
% 5.55/5.82 & ? [V2597e8: $i] :
% 5.55/5.82 ( ( mem @ V2597e8 @ A_27a )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2590e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2591e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2592e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2593e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2594e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2595e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2596e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2597e8 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V2598l_27: $i] :
% 5.55/5.82 ( ( mem @ V2598l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2599e1: $i] :
% 5.55/5.82 ( ( mem @ V2599e1 @ A_27a )
% 5.55/5.82 & ? [V2600e2: $i] :
% 5.55/5.82 ( ( mem @ V2600e2 @ A_27a )
% 5.55/5.82 & ? [V2601e3: $i] :
% 5.55/5.82 ( ( mem @ V2601e3 @ A_27a )
% 5.55/5.82 & ? [V2602e4: $i] :
% 5.55/5.82 ( ( mem @ V2602e4 @ A_27a )
% 5.55/5.82 & ? [V2603e5: $i] :
% 5.55/5.82 ( ( mem @ V2603e5 @ A_27a )
% 5.55/5.82 & ? [V2604e6: $i] :
% 5.55/5.82 ( ( mem @ V2604e6 @ A_27a )
% 5.55/5.82 & ? [V2605e7: $i] :
% 5.55/5.82 ( ( mem @ V2605e7 @ A_27a )
% 5.55/5.82 & ? [V2606e8: $i] :
% 5.55/5.82 ( ( mem @ V2606e8 @ A_27a )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2599e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2600e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2601e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2602e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2603e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2604e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2605e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2606e8 ) @ V2598l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.82 <=> ? [V2607l_27: $i] :
% 5.55/5.82 ( ( mem @ V2607l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2608e1: $i] :
% 5.55/5.82 ( ( mem @ V2608e1 @ A_27a )
% 5.55/5.82 & ? [V2609e2: $i] :
% 5.55/5.82 ( ( mem @ V2609e2 @ A_27a )
% 5.55/5.82 & ? [V2610e3: $i] :
% 5.55/5.82 ( ( mem @ V2610e3 @ A_27a )
% 5.55/5.82 & ? [V2611e4: $i] :
% 5.55/5.82 ( ( mem @ V2611e4 @ A_27a )
% 5.55/5.82 & ? [V2612e5: $i] :
% 5.55/5.82 ( ( mem @ V2612e5 @ A_27a )
% 5.55/5.82 & ? [V2613e6: $i] :
% 5.55/5.82 ( ( mem @ V2613e6 @ A_27a )
% 5.55/5.82 & ? [V2614e7: $i] :
% 5.55/5.82 ( ( mem @ V2614e7 @ A_27a )
% 5.55/5.82 & ? [V2615e8: $i] :
% 5.55/5.82 ( ( mem @ V2615e8 @ A_27a )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2608e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2609e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2610e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2611e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2612e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2613e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2614e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2615e8 ) @ V2607l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V2616l_27: $i] :
% 5.55/5.82 ( ( mem @ V2616l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2617e1: $i] :
% 5.55/5.82 ( ( mem @ V2617e1 @ A_27a )
% 5.55/5.82 & ? [V2618e2: $i] :
% 5.55/5.82 ( ( mem @ V2618e2 @ A_27a )
% 5.55/5.82 & ? [V2619e3: $i] :
% 5.55/5.82 ( ( mem @ V2619e3 @ A_27a )
% 5.55/5.82 & ? [V2620e4: $i] :
% 5.55/5.82 ( ( mem @ V2620e4 @ A_27a )
% 5.55/5.82 & ? [V2621e5: $i] :
% 5.55/5.82 ( ( mem @ V2621e5 @ A_27a )
% 5.55/5.82 & ? [V2622e6: $i] :
% 5.55/5.82 ( ( mem @ V2622e6 @ A_27a )
% 5.55/5.82 & ? [V2623e7: $i] :
% 5.55/5.82 ( ( mem @ V2623e7 @ A_27a )
% 5.55/5.82 & ? [V2624e8: $i] :
% 5.55/5.82 ( ( mem @ V2624e8 @ A_27a )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2617e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2618e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2619e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2620e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2621e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2622e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2623e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2624e8 ) @ V2616l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.82 <=> ? [V2625l_27: $i] :
% 5.55/5.82 ( ( mem @ V2625l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2626e1: $i] :
% 5.55/5.82 ( ( mem @ V2626e1 @ A_27a )
% 5.55/5.82 & ? [V2627e2: $i] :
% 5.55/5.82 ( ( mem @ V2627e2 @ A_27a )
% 5.55/5.82 & ? [V2628e3: $i] :
% 5.55/5.82 ( ( mem @ V2628e3 @ A_27a )
% 5.55/5.82 & ? [V2629e4: $i] :
% 5.55/5.82 ( ( mem @ V2629e4 @ A_27a )
% 5.55/5.82 & ? [V2630e5: $i] :
% 5.55/5.82 ( ( mem @ V2630e5 @ A_27a )
% 5.55/5.82 & ? [V2631e6: $i] :
% 5.55/5.82 ( ( mem @ V2631e6 @ A_27a )
% 5.55/5.82 & ? [V2632e7: $i] :
% 5.55/5.82 ( ( mem @ V2632e7 @ A_27a )
% 5.55/5.82 & ? [V2633e8: $i] :
% 5.55/5.82 ( ( mem @ V2633e8 @ A_27a )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2626e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2627e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2628e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2629e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2630e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2631e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2632e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2633e8 ) @ V2625l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V2634l_27: $i] :
% 5.55/5.82 ( ( mem @ V2634l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2635e1: $i] :
% 5.55/5.82 ( ( mem @ V2635e1 @ A_27a )
% 5.55/5.82 & ? [V2636e2: $i] :
% 5.55/5.82 ( ( mem @ V2636e2 @ A_27a )
% 5.55/5.82 & ? [V2637e3: $i] :
% 5.55/5.82 ( ( mem @ V2637e3 @ A_27a )
% 5.55/5.82 & ? [V2638e4: $i] :
% 5.55/5.82 ( ( mem @ V2638e4 @ A_27a )
% 5.55/5.82 & ? [V2639e5: $i] :
% 5.55/5.82 ( ( mem @ V2639e5 @ A_27a )
% 5.55/5.82 & ? [V2640e6: $i] :
% 5.55/5.82 ( ( mem @ V2640e6 @ A_27a )
% 5.55/5.82 & ? [V2641e7: $i] :
% 5.55/5.82 ( ( mem @ V2641e7 @ A_27a )
% 5.55/5.82 & ? [V2642e8: $i] :
% 5.55/5.82 ( ( mem @ V2642e8 @ A_27a )
% 5.55/5.82 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2634l_27 ) ) )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2635e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2636e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2637e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2638e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2639e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2640e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2641e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2642e8 ) @ V2634l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.82 <=> ? [V2643l_27: $i] :
% 5.55/5.82 ( ( mem @ V2643l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2644e1: $i] :
% 5.55/5.82 ( ( mem @ V2644e1 @ A_27a )
% 5.55/5.82 & ? [V2645e2: $i] :
% 5.55/5.82 ( ( mem @ V2645e2 @ A_27a )
% 5.55/5.82 & ? [V2646e3: $i] :
% 5.55/5.82 ( ( mem @ V2646e3 @ A_27a )
% 5.55/5.82 & ? [V2647e4: $i] :
% 5.55/5.82 ( ( mem @ V2647e4 @ A_27a )
% 5.55/5.82 & ? [V2648e5: $i] :
% 5.55/5.82 ( ( mem @ V2648e5 @ A_27a )
% 5.55/5.82 & ? [V2649e6: $i] :
% 5.55/5.82 ( ( mem @ V2649e6 @ A_27a )
% 5.55/5.82 & ? [V2650e7: $i] :
% 5.55/5.82 ( ( mem @ V2650e7 @ A_27a )
% 5.55/5.82 & ? [V2651e8: $i] :
% 5.55/5.82 ( ( mem @ V2651e8 @ A_27a )
% 5.55/5.82 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2643l_27 ) ) )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2644e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2645e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2646e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2647e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2648e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2649e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2650e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2651e8 ) @ V2643l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V2652l_27: $i] :
% 5.55/5.82 ( ( mem @ V2652l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2653e1: $i] :
% 5.55/5.82 ( ( mem @ V2653e1 @ A_27a )
% 5.55/5.82 & ? [V2654e2: $i] :
% 5.55/5.82 ( ( mem @ V2654e2 @ A_27a )
% 5.55/5.82 & ? [V2655e3: $i] :
% 5.55/5.82 ( ( mem @ V2655e3 @ A_27a )
% 5.55/5.82 & ? [V2656e4: $i] :
% 5.55/5.82 ( ( mem @ V2656e4 @ A_27a )
% 5.55/5.82 & ? [V2657e5: $i] :
% 5.55/5.82 ( ( mem @ V2657e5 @ A_27a )
% 5.55/5.82 & ? [V2658e6: $i] :
% 5.55/5.82 ( ( mem @ V2658e6 @ A_27a )
% 5.55/5.82 & ? [V2659e7: $i] :
% 5.55/5.82 ( ( mem @ V2659e7 @ A_27a )
% 5.55/5.82 & ? [V2660e8: $i] :
% 5.55/5.82 ( ( mem @ V2660e8 @ A_27a )
% 5.55/5.82 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2652l_27 ) ) )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2653e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2654e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2655e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2656e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2657e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2658e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2659e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2660e8 ) @ V2652l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.82 <=> ? [V2661l_27: $i] :
% 5.55/5.82 ( ( mem @ V2661l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2662e1: $i] :
% 5.55/5.82 ( ( mem @ V2662e1 @ A_27a )
% 5.55/5.82 & ? [V2663e2: $i] :
% 5.55/5.82 ( ( mem @ V2663e2 @ A_27a )
% 5.55/5.82 & ? [V2664e3: $i] :
% 5.55/5.82 ( ( mem @ V2664e3 @ A_27a )
% 5.55/5.82 & ? [V2665e4: $i] :
% 5.55/5.82 ( ( mem @ V2665e4 @ A_27a )
% 5.55/5.82 & ? [V2666e5: $i] :
% 5.55/5.82 ( ( mem @ V2666e5 @ A_27a )
% 5.55/5.82 & ? [V2667e6: $i] :
% 5.55/5.82 ( ( mem @ V2667e6 @ A_27a )
% 5.55/5.82 & ? [V2668e7: $i] :
% 5.55/5.82 ( ( mem @ V2668e7 @ A_27a )
% 5.55/5.82 & ? [V2669e8: $i] :
% 5.55/5.82 ( ( mem @ V2669e8 @ A_27a )
% 5.55/5.82 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2661l_27 ) ) )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2662e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2663e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2664e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2665e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2666e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2667e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2668e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2669e8 ) @ V2661l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.82 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.82 <=> ? [V2670l_27: $i] :
% 5.55/5.82 ( ( mem @ V2670l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2671e1: $i] :
% 5.55/5.82 ( ( mem @ V2671e1 @ A_27a )
% 5.55/5.82 & ? [V2672e2: $i] :
% 5.55/5.82 ( ( mem @ V2672e2 @ A_27a )
% 5.55/5.82 & ? [V2673e3: $i] :
% 5.55/5.82 ( ( mem @ V2673e3 @ A_27a )
% 5.55/5.82 & ? [V2674e4: $i] :
% 5.55/5.82 ( ( mem @ V2674e4 @ A_27a )
% 5.55/5.82 & ? [V2675e5: $i] :
% 5.55/5.82 ( ( mem @ V2675e5 @ A_27a )
% 5.55/5.82 & ? [V2676e6: $i] :
% 5.55/5.82 ( ( mem @ V2676e6 @ A_27a )
% 5.55/5.82 & ? [V2677e7: $i] :
% 5.55/5.82 ( ( mem @ V2677e7 @ A_27a )
% 5.55/5.82 & ? [V2678e8: $i] :
% 5.55/5.82 ( ( mem @ V2678e8 @ A_27a )
% 5.55/5.82 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2670l_27 ) )
% 5.55/5.82 = V1x )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2671e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2672e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2673e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2674e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2675e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2676e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2677e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2678e8 ) @ V2670l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.55/5.82 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V2679l_27: $i] :
% 5.55/5.82 ( ( mem @ V2679l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2680e1: $i] :
% 5.55/5.82 ( ( mem @ V2680e1 @ A_27a )
% 5.55/5.82 & ? [V2681e2: $i] :
% 5.55/5.82 ( ( mem @ V2681e2 @ A_27a )
% 5.55/5.82 & ? [V2682e3: $i] :
% 5.55/5.82 ( ( mem @ V2682e3 @ A_27a )
% 5.55/5.82 & ? [V2683e4: $i] :
% 5.55/5.82 ( ( mem @ V2683e4 @ A_27a )
% 5.55/5.82 & ? [V2684e5: $i] :
% 5.55/5.82 ( ( mem @ V2684e5 @ A_27a )
% 5.55/5.82 & ? [V2685e6: $i] :
% 5.55/5.82 ( ( mem @ V2685e6 @ A_27a )
% 5.55/5.82 & ? [V2686e7: $i] :
% 5.55/5.82 ( ( mem @ V2686e7 @ A_27a )
% 5.55/5.82 & ? [V2687e8: $i] :
% 5.55/5.82 ( ( mem @ V2687e8 @ A_27a )
% 5.55/5.82 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2679l_27 ) )
% 5.55/5.82 = V1x )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2680e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2681e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2682e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2683e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2684e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2685e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2686e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2687e8 ) @ V2679l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.82 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.82 <=> ? [V2688l_27: $i] :
% 5.55/5.82 ( ( mem @ V2688l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2689e1: $i] :
% 5.55/5.82 ( ( mem @ V2689e1 @ A_27a )
% 5.55/5.82 & ? [V2690e2: $i] :
% 5.55/5.82 ( ( mem @ V2690e2 @ A_27a )
% 5.55/5.82 & ? [V2691e3: $i] :
% 5.55/5.82 ( ( mem @ V2691e3 @ A_27a )
% 5.55/5.82 & ? [V2692e4: $i] :
% 5.55/5.82 ( ( mem @ V2692e4 @ A_27a )
% 5.55/5.82 & ? [V2693e5: $i] :
% 5.55/5.82 ( ( mem @ V2693e5 @ A_27a )
% 5.55/5.82 & ? [V2694e6: $i] :
% 5.55/5.82 ( ( mem @ V2694e6 @ A_27a )
% 5.55/5.82 & ? [V2695e7: $i] :
% 5.55/5.82 ( ( mem @ V2695e7 @ A_27a )
% 5.55/5.82 & ? [V2696e8: $i] :
% 5.55/5.82 ( ( mem @ V2696e8 @ A_27a )
% 5.55/5.82 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2688l_27 ) )
% 5.55/5.82 = V1x )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2689e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2690e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2691e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2692e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2693e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2694e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2695e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2696e8 ) @ V2688l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.82 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V2697l_27: $i] :
% 5.55/5.82 ( ( mem @ V2697l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2698e1: $i] :
% 5.55/5.82 ( ( mem @ V2698e1 @ A_27a )
% 5.55/5.82 & ? [V2699e2: $i] :
% 5.55/5.82 ( ( mem @ V2699e2 @ A_27a )
% 5.55/5.82 & ? [V2700e3: $i] :
% 5.55/5.82 ( ( mem @ V2700e3 @ A_27a )
% 5.55/5.82 & ? [V2701e4: $i] :
% 5.55/5.82 ( ( mem @ V2701e4 @ A_27a )
% 5.55/5.82 & ? [V2702e5: $i] :
% 5.55/5.82 ( ( mem @ V2702e5 @ A_27a )
% 5.55/5.82 & ? [V2703e6: $i] :
% 5.55/5.82 ( ( mem @ V2703e6 @ A_27a )
% 5.55/5.82 & ? [V2704e7: $i] :
% 5.55/5.82 ( ( mem @ V2704e7 @ A_27a )
% 5.55/5.82 & ? [V2705e8: $i] :
% 5.55/5.82 ( ( mem @ V2705e8 @ A_27a )
% 5.55/5.82 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2697l_27 ) )
% 5.55/5.82 = V1x )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2698e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2699e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2700e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2701e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2702e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2703e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2704e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2705e8 ) @ V2697l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.82 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.82 <=> ? [V2706e1: $i] :
% 5.55/5.82 ( ( mem @ V2706e1 @ A_27a )
% 5.55/5.82 & ? [V2707e2: $i] :
% 5.55/5.82 ( ( mem @ V2707e2 @ A_27a )
% 5.55/5.82 & ? [V2708e3: $i] :
% 5.55/5.82 ( ( mem @ V2708e3 @ A_27a )
% 5.55/5.82 & ? [V2709e4: $i] :
% 5.55/5.82 ( ( mem @ V2709e4 @ A_27a )
% 5.55/5.82 & ? [V2710e5: $i] :
% 5.55/5.82 ( ( mem @ V2710e5 @ A_27a )
% 5.55/5.82 & ? [V2711e6: $i] :
% 5.55/5.82 ( ( mem @ V2711e6 @ A_27a )
% 5.55/5.82 & ? [V2712e7: $i] :
% 5.55/5.82 ( ( mem @ V2712e7 @ A_27a )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2706e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2707e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2708e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2709e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2710e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2711e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2712e7 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.82 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V2713e1: $i] :
% 5.55/5.82 ( ( mem @ V2713e1 @ A_27a )
% 5.55/5.82 & ? [V2714e2: $i] :
% 5.55/5.82 ( ( mem @ V2714e2 @ A_27a )
% 5.55/5.82 & ? [V2715e3: $i] :
% 5.55/5.82 ( ( mem @ V2715e3 @ A_27a )
% 5.55/5.82 & ? [V2716e4: $i] :
% 5.55/5.82 ( ( mem @ V2716e4 @ A_27a )
% 5.55/5.82 & ? [V2717e5: $i] :
% 5.55/5.82 ( ( mem @ V2717e5 @ A_27a )
% 5.55/5.82 & ? [V2718e6: $i] :
% 5.55/5.82 ( ( mem @ V2718e6 @ A_27a )
% 5.55/5.82 & ? [V2719e7: $i] :
% 5.55/5.82 ( ( mem @ V2719e7 @ A_27a )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2713e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2714e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2715e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2716e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2717e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2718e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2719e7 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V2720l_27: $i] :
% 5.55/5.82 ( ( mem @ V2720l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2721e1: $i] :
% 5.55/5.82 ( ( mem @ V2721e1 @ A_27a )
% 5.55/5.82 & ? [V2722e2: $i] :
% 5.55/5.82 ( ( mem @ V2722e2 @ A_27a )
% 5.55/5.82 & ? [V2723e3: $i] :
% 5.55/5.82 ( ( mem @ V2723e3 @ A_27a )
% 5.55/5.82 & ? [V2724e4: $i] :
% 5.55/5.82 ( ( mem @ V2724e4 @ A_27a )
% 5.55/5.82 & ? [V2725e5: $i] :
% 5.55/5.82 ( ( mem @ V2725e5 @ A_27a )
% 5.55/5.82 & ? [V2726e6: $i] :
% 5.55/5.82 ( ( mem @ V2726e6 @ A_27a )
% 5.55/5.82 & ? [V2727e7: $i] :
% 5.55/5.82 ( ( mem @ V2727e7 @ A_27a )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2721e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2722e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2723e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2724e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2725e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2726e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2727e7 ) @ V2720l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.82 <=> ? [V2728l_27: $i] :
% 5.55/5.82 ( ( mem @ V2728l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2729e1: $i] :
% 5.55/5.82 ( ( mem @ V2729e1 @ A_27a )
% 5.55/5.82 & ? [V2730e2: $i] :
% 5.55/5.82 ( ( mem @ V2730e2 @ A_27a )
% 5.55/5.82 & ? [V2731e3: $i] :
% 5.55/5.82 ( ( mem @ V2731e3 @ A_27a )
% 5.55/5.82 & ? [V2732e4: $i] :
% 5.55/5.82 ( ( mem @ V2732e4 @ A_27a )
% 5.55/5.82 & ? [V2733e5: $i] :
% 5.55/5.82 ( ( mem @ V2733e5 @ A_27a )
% 5.55/5.82 & ? [V2734e6: $i] :
% 5.55/5.82 ( ( mem @ V2734e6 @ A_27a )
% 5.55/5.82 & ? [V2735e7: $i] :
% 5.55/5.82 ( ( mem @ V2735e7 @ A_27a )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2729e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2730e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2731e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2732e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2733e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2734e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2735e7 ) @ V2728l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V2736l_27: $i] :
% 5.55/5.82 ( ( mem @ V2736l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2737e1: $i] :
% 5.55/5.82 ( ( mem @ V2737e1 @ A_27a )
% 5.55/5.82 & ? [V2738e2: $i] :
% 5.55/5.82 ( ( mem @ V2738e2 @ A_27a )
% 5.55/5.82 & ? [V2739e3: $i] :
% 5.55/5.82 ( ( mem @ V2739e3 @ A_27a )
% 5.55/5.82 & ? [V2740e4: $i] :
% 5.55/5.82 ( ( mem @ V2740e4 @ A_27a )
% 5.55/5.82 & ? [V2741e5: $i] :
% 5.55/5.82 ( ( mem @ V2741e5 @ A_27a )
% 5.55/5.82 & ? [V2742e6: $i] :
% 5.55/5.82 ( ( mem @ V2742e6 @ A_27a )
% 5.55/5.82 & ? [V2743e7: $i] :
% 5.55/5.82 ( ( mem @ V2743e7 @ A_27a )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2737e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2738e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2739e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2740e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2741e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2742e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2743e7 ) @ V2736l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.82 <=> ? [V2744l_27: $i] :
% 5.55/5.82 ( ( mem @ V2744l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2745e1: $i] :
% 5.55/5.82 ( ( mem @ V2745e1 @ A_27a )
% 5.55/5.82 & ? [V2746e2: $i] :
% 5.55/5.82 ( ( mem @ V2746e2 @ A_27a )
% 5.55/5.82 & ? [V2747e3: $i] :
% 5.55/5.82 ( ( mem @ V2747e3 @ A_27a )
% 5.55/5.82 & ? [V2748e4: $i] :
% 5.55/5.82 ( ( mem @ V2748e4 @ A_27a )
% 5.55/5.82 & ? [V2749e5: $i] :
% 5.55/5.82 ( ( mem @ V2749e5 @ A_27a )
% 5.55/5.82 & ? [V2750e6: $i] :
% 5.55/5.82 ( ( mem @ V2750e6 @ A_27a )
% 5.55/5.82 & ? [V2751e7: $i] :
% 5.55/5.82 ( ( mem @ V2751e7 @ A_27a )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2745e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2746e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2747e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2748e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2749e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2750e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2751e7 ) @ V2744l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V2752l_27: $i] :
% 5.55/5.82 ( ( mem @ V2752l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2753e1: $i] :
% 5.55/5.82 ( ( mem @ V2753e1 @ A_27a )
% 5.55/5.82 & ? [V2754e2: $i] :
% 5.55/5.82 ( ( mem @ V2754e2 @ A_27a )
% 5.55/5.82 & ? [V2755e3: $i] :
% 5.55/5.82 ( ( mem @ V2755e3 @ A_27a )
% 5.55/5.82 & ? [V2756e4: $i] :
% 5.55/5.82 ( ( mem @ V2756e4 @ A_27a )
% 5.55/5.82 & ? [V2757e5: $i] :
% 5.55/5.82 ( ( mem @ V2757e5 @ A_27a )
% 5.55/5.82 & ? [V2758e6: $i] :
% 5.55/5.82 ( ( mem @ V2758e6 @ A_27a )
% 5.55/5.82 & ? [V2759e7: $i] :
% 5.55/5.82 ( ( mem @ V2759e7 @ A_27a )
% 5.55/5.82 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2752l_27 ) ) )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2753e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2754e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2755e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2756e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2757e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2758e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2759e7 ) @ V2752l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.82 <=> ? [V2760l_27: $i] :
% 5.55/5.82 ( ( mem @ V2760l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2761e1: $i] :
% 5.55/5.82 ( ( mem @ V2761e1 @ A_27a )
% 5.55/5.82 & ? [V2762e2: $i] :
% 5.55/5.82 ( ( mem @ V2762e2 @ A_27a )
% 5.55/5.82 & ? [V2763e3: $i] :
% 5.55/5.82 ( ( mem @ V2763e3 @ A_27a )
% 5.55/5.82 & ? [V2764e4: $i] :
% 5.55/5.82 ( ( mem @ V2764e4 @ A_27a )
% 5.55/5.82 & ? [V2765e5: $i] :
% 5.55/5.82 ( ( mem @ V2765e5 @ A_27a )
% 5.55/5.82 & ? [V2766e6: $i] :
% 5.55/5.82 ( ( mem @ V2766e6 @ A_27a )
% 5.55/5.82 & ? [V2767e7: $i] :
% 5.55/5.82 ( ( mem @ V2767e7 @ A_27a )
% 5.55/5.82 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2760l_27 ) ) )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2761e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2762e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2763e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2764e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2765e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2766e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2767e7 ) @ V2760l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V2768l_27: $i] :
% 5.55/5.82 ( ( mem @ V2768l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2769e1: $i] :
% 5.55/5.82 ( ( mem @ V2769e1 @ A_27a )
% 5.55/5.82 & ? [V2770e2: $i] :
% 5.55/5.82 ( ( mem @ V2770e2 @ A_27a )
% 5.55/5.82 & ? [V2771e3: $i] :
% 5.55/5.82 ( ( mem @ V2771e3 @ A_27a )
% 5.55/5.82 & ? [V2772e4: $i] :
% 5.55/5.82 ( ( mem @ V2772e4 @ A_27a )
% 5.55/5.82 & ? [V2773e5: $i] :
% 5.55/5.82 ( ( mem @ V2773e5 @ A_27a )
% 5.55/5.82 & ? [V2774e6: $i] :
% 5.55/5.82 ( ( mem @ V2774e6 @ A_27a )
% 5.55/5.82 & ? [V2775e7: $i] :
% 5.55/5.82 ( ( mem @ V2775e7 @ A_27a )
% 5.55/5.82 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2768l_27 ) ) )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2769e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2770e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2771e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2772e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2773e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2774e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2775e7 ) @ V2768l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.82 <=> ? [V2776l_27: $i] :
% 5.55/5.82 ( ( mem @ V2776l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2777e1: $i] :
% 5.55/5.82 ( ( mem @ V2777e1 @ A_27a )
% 5.55/5.82 & ? [V2778e2: $i] :
% 5.55/5.82 ( ( mem @ V2778e2 @ A_27a )
% 5.55/5.82 & ? [V2779e3: $i] :
% 5.55/5.82 ( ( mem @ V2779e3 @ A_27a )
% 5.55/5.82 & ? [V2780e4: $i] :
% 5.55/5.82 ( ( mem @ V2780e4 @ A_27a )
% 5.55/5.82 & ? [V2781e5: $i] :
% 5.55/5.82 ( ( mem @ V2781e5 @ A_27a )
% 5.55/5.82 & ? [V2782e6: $i] :
% 5.55/5.82 ( ( mem @ V2782e6 @ A_27a )
% 5.55/5.82 & ? [V2783e7: $i] :
% 5.55/5.82 ( ( mem @ V2783e7 @ A_27a )
% 5.55/5.82 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2776l_27 ) ) )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2777e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2778e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2779e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2780e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2781e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2782e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2783e7 ) @ V2776l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.82 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.82 <=> ? [V2784l_27: $i] :
% 5.55/5.82 ( ( mem @ V2784l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2785e1: $i] :
% 5.55/5.82 ( ( mem @ V2785e1 @ A_27a )
% 5.55/5.82 & ? [V2786e2: $i] :
% 5.55/5.82 ( ( mem @ V2786e2 @ A_27a )
% 5.55/5.82 & ? [V2787e3: $i] :
% 5.55/5.82 ( ( mem @ V2787e3 @ A_27a )
% 5.55/5.82 & ? [V2788e4: $i] :
% 5.55/5.82 ( ( mem @ V2788e4 @ A_27a )
% 5.55/5.82 & ? [V2789e5: $i] :
% 5.55/5.82 ( ( mem @ V2789e5 @ A_27a )
% 5.55/5.82 & ? [V2790e6: $i] :
% 5.55/5.82 ( ( mem @ V2790e6 @ A_27a )
% 5.55/5.82 & ? [V2791e7: $i] :
% 5.55/5.82 ( ( mem @ V2791e7 @ A_27a )
% 5.55/5.82 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2784l_27 ) )
% 5.55/5.82 = V1x )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2785e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2786e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2787e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2788e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2789e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2790e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2791e7 ) @ V2784l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.55/5.82 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V2792l_27: $i] :
% 5.55/5.82 ( ( mem @ V2792l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2793e1: $i] :
% 5.55/5.82 ( ( mem @ V2793e1 @ A_27a )
% 5.55/5.82 & ? [V2794e2: $i] :
% 5.55/5.82 ( ( mem @ V2794e2 @ A_27a )
% 5.55/5.82 & ? [V2795e3: $i] :
% 5.55/5.82 ( ( mem @ V2795e3 @ A_27a )
% 5.55/5.82 & ? [V2796e4: $i] :
% 5.55/5.82 ( ( mem @ V2796e4 @ A_27a )
% 5.55/5.82 & ? [V2797e5: $i] :
% 5.55/5.82 ( ( mem @ V2797e5 @ A_27a )
% 5.55/5.82 & ? [V2798e6: $i] :
% 5.55/5.82 ( ( mem @ V2798e6 @ A_27a )
% 5.55/5.82 & ? [V2799e7: $i] :
% 5.55/5.82 ( ( mem @ V2799e7 @ A_27a )
% 5.55/5.82 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2792l_27 ) )
% 5.55/5.82 = V1x )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2793e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2794e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2795e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2796e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2797e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2798e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2799e7 ) @ V2792l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.82 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.82 <=> ? [V2800l_27: $i] :
% 5.55/5.82 ( ( mem @ V2800l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2801e1: $i] :
% 5.55/5.82 ( ( mem @ V2801e1 @ A_27a )
% 5.55/5.82 & ? [V2802e2: $i] :
% 5.55/5.82 ( ( mem @ V2802e2 @ A_27a )
% 5.55/5.82 & ? [V2803e3: $i] :
% 5.55/5.82 ( ( mem @ V2803e3 @ A_27a )
% 5.55/5.82 & ? [V2804e4: $i] :
% 5.55/5.82 ( ( mem @ V2804e4 @ A_27a )
% 5.55/5.82 & ? [V2805e5: $i] :
% 5.55/5.82 ( ( mem @ V2805e5 @ A_27a )
% 5.55/5.82 & ? [V2806e6: $i] :
% 5.55/5.82 ( ( mem @ V2806e6 @ A_27a )
% 5.55/5.82 & ? [V2807e7: $i] :
% 5.55/5.82 ( ( mem @ V2807e7 @ A_27a )
% 5.55/5.82 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2800l_27 ) )
% 5.55/5.82 = V1x )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2801e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2802e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2803e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2804e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2805e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2806e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2807e7 ) @ V2800l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.82 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V2808l_27: $i] :
% 5.55/5.82 ( ( mem @ V2808l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2809e1: $i] :
% 5.55/5.82 ( ( mem @ V2809e1 @ A_27a )
% 5.55/5.82 & ? [V2810e2: $i] :
% 5.55/5.82 ( ( mem @ V2810e2 @ A_27a )
% 5.55/5.82 & ? [V2811e3: $i] :
% 5.55/5.82 ( ( mem @ V2811e3 @ A_27a )
% 5.55/5.82 & ? [V2812e4: $i] :
% 5.55/5.82 ( ( mem @ V2812e4 @ A_27a )
% 5.55/5.82 & ? [V2813e5: $i] :
% 5.55/5.82 ( ( mem @ V2813e5 @ A_27a )
% 5.55/5.82 & ? [V2814e6: $i] :
% 5.55/5.82 ( ( mem @ V2814e6 @ A_27a )
% 5.55/5.82 & ? [V2815e7: $i] :
% 5.55/5.82 ( ( mem @ V2815e7 @ A_27a )
% 5.55/5.82 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2808l_27 ) )
% 5.55/5.82 = V1x )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2809e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2810e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2811e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2812e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2813e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2814e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2815e7 ) @ V2808l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.82 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.82 <=> ? [V2816e1: $i] :
% 5.55/5.82 ( ( mem @ V2816e1 @ A_27a )
% 5.55/5.82 & ? [V2817e2: $i] :
% 5.55/5.82 ( ( mem @ V2817e2 @ A_27a )
% 5.55/5.82 & ? [V2818e3: $i] :
% 5.55/5.82 ( ( mem @ V2818e3 @ A_27a )
% 5.55/5.82 & ? [V2819e4: $i] :
% 5.55/5.82 ( ( mem @ V2819e4 @ A_27a )
% 5.55/5.82 & ? [V2820e5: $i] :
% 5.55/5.82 ( ( mem @ V2820e5 @ A_27a )
% 5.55/5.82 & ? [V2821e6: $i] :
% 5.55/5.82 ( ( mem @ V2821e6 @ A_27a )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2816e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2817e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2818e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2819e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2820e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2821e6 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.82 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V2822e1: $i] :
% 5.55/5.82 ( ( mem @ V2822e1 @ A_27a )
% 5.55/5.82 & ? [V2823e2: $i] :
% 5.55/5.82 ( ( mem @ V2823e2 @ A_27a )
% 5.55/5.82 & ? [V2824e3: $i] :
% 5.55/5.82 ( ( mem @ V2824e3 @ A_27a )
% 5.55/5.82 & ? [V2825e4: $i] :
% 5.55/5.82 ( ( mem @ V2825e4 @ A_27a )
% 5.55/5.82 & ? [V2826e5: $i] :
% 5.55/5.82 ( ( mem @ V2826e5 @ A_27a )
% 5.55/5.82 & ? [V2827e6: $i] :
% 5.55/5.82 ( ( mem @ V2827e6 @ A_27a )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2822e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2823e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2824e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2825e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2826e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2827e6 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V2828l_27: $i] :
% 5.55/5.82 ( ( mem @ V2828l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2829e1: $i] :
% 5.55/5.82 ( ( mem @ V2829e1 @ A_27a )
% 5.55/5.82 & ? [V2830e2: $i] :
% 5.55/5.82 ( ( mem @ V2830e2 @ A_27a )
% 5.55/5.82 & ? [V2831e3: $i] :
% 5.55/5.82 ( ( mem @ V2831e3 @ A_27a )
% 5.55/5.82 & ? [V2832e4: $i] :
% 5.55/5.82 ( ( mem @ V2832e4 @ A_27a )
% 5.55/5.82 & ? [V2833e5: $i] :
% 5.55/5.82 ( ( mem @ V2833e5 @ A_27a )
% 5.55/5.82 & ? [V2834e6: $i] :
% 5.55/5.82 ( ( mem @ V2834e6 @ A_27a )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2829e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2830e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2831e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2832e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2833e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2834e6 ) @ V2828l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.82 <=> ? [V2835l_27: $i] :
% 5.55/5.82 ( ( mem @ V2835l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2836e1: $i] :
% 5.55/5.82 ( ( mem @ V2836e1 @ A_27a )
% 5.55/5.82 & ? [V2837e2: $i] :
% 5.55/5.82 ( ( mem @ V2837e2 @ A_27a )
% 5.55/5.82 & ? [V2838e3: $i] :
% 5.55/5.82 ( ( mem @ V2838e3 @ A_27a )
% 5.55/5.82 & ? [V2839e4: $i] :
% 5.55/5.82 ( ( mem @ V2839e4 @ A_27a )
% 5.55/5.82 & ? [V2840e5: $i] :
% 5.55/5.82 ( ( mem @ V2840e5 @ A_27a )
% 5.55/5.82 & ? [V2841e6: $i] :
% 5.55/5.82 ( ( mem @ V2841e6 @ A_27a )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2836e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2837e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2838e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2839e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2840e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2841e6 ) @ V2835l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V2842l_27: $i] :
% 5.55/5.82 ( ( mem @ V2842l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2843e1: $i] :
% 5.55/5.82 ( ( mem @ V2843e1 @ A_27a )
% 5.55/5.82 & ? [V2844e2: $i] :
% 5.55/5.82 ( ( mem @ V2844e2 @ A_27a )
% 5.55/5.82 & ? [V2845e3: $i] :
% 5.55/5.82 ( ( mem @ V2845e3 @ A_27a )
% 5.55/5.82 & ? [V2846e4: $i] :
% 5.55/5.82 ( ( mem @ V2846e4 @ A_27a )
% 5.55/5.82 & ? [V2847e5: $i] :
% 5.55/5.82 ( ( mem @ V2847e5 @ A_27a )
% 5.55/5.82 & ? [V2848e6: $i] :
% 5.55/5.82 ( ( mem @ V2848e6 @ A_27a )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2843e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2844e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2845e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2846e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2847e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2848e6 ) @ V2842l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.82 <=> ? [V2849l_27: $i] :
% 5.55/5.82 ( ( mem @ V2849l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2850e1: $i] :
% 5.55/5.82 ( ( mem @ V2850e1 @ A_27a )
% 5.55/5.82 & ? [V2851e2: $i] :
% 5.55/5.82 ( ( mem @ V2851e2 @ A_27a )
% 5.55/5.82 & ? [V2852e3: $i] :
% 5.55/5.82 ( ( mem @ V2852e3 @ A_27a )
% 5.55/5.82 & ? [V2853e4: $i] :
% 5.55/5.82 ( ( mem @ V2853e4 @ A_27a )
% 5.55/5.82 & ? [V2854e5: $i] :
% 5.55/5.82 ( ( mem @ V2854e5 @ A_27a )
% 5.55/5.82 & ? [V2855e6: $i] :
% 5.55/5.82 ( ( mem @ V2855e6 @ A_27a )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2850e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2851e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2852e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2853e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2854e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2855e6 ) @ V2849l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V2856l_27: $i] :
% 5.55/5.82 ( ( mem @ V2856l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2857e1: $i] :
% 5.55/5.82 ( ( mem @ V2857e1 @ A_27a )
% 5.55/5.82 & ? [V2858e2: $i] :
% 5.55/5.82 ( ( mem @ V2858e2 @ A_27a )
% 5.55/5.82 & ? [V2859e3: $i] :
% 5.55/5.82 ( ( mem @ V2859e3 @ A_27a )
% 5.55/5.82 & ? [V2860e4: $i] :
% 5.55/5.82 ( ( mem @ V2860e4 @ A_27a )
% 5.55/5.82 & ? [V2861e5: $i] :
% 5.55/5.82 ( ( mem @ V2861e5 @ A_27a )
% 5.55/5.82 & ? [V2862e6: $i] :
% 5.55/5.82 ( ( mem @ V2862e6 @ A_27a )
% 5.55/5.82 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2856l_27 ) ) )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2857e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2858e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2859e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2860e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2861e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2862e6 ) @ V2856l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.82 <=> ? [V2863l_27: $i] :
% 5.55/5.82 ( ( mem @ V2863l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2864e1: $i] :
% 5.55/5.82 ( ( mem @ V2864e1 @ A_27a )
% 5.55/5.82 & ? [V2865e2: $i] :
% 5.55/5.82 ( ( mem @ V2865e2 @ A_27a )
% 5.55/5.82 & ? [V2866e3: $i] :
% 5.55/5.82 ( ( mem @ V2866e3 @ A_27a )
% 5.55/5.82 & ? [V2867e4: $i] :
% 5.55/5.82 ( ( mem @ V2867e4 @ A_27a )
% 5.55/5.82 & ? [V2868e5: $i] :
% 5.55/5.82 ( ( mem @ V2868e5 @ A_27a )
% 5.55/5.82 & ? [V2869e6: $i] :
% 5.55/5.82 ( ( mem @ V2869e6 @ A_27a )
% 5.55/5.82 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2863l_27 ) ) )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2864e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2865e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2866e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2867e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2868e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2869e6 ) @ V2863l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V2870l_27: $i] :
% 5.55/5.82 ( ( mem @ V2870l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2871e1: $i] :
% 5.55/5.82 ( ( mem @ V2871e1 @ A_27a )
% 5.55/5.82 & ? [V2872e2: $i] :
% 5.55/5.82 ( ( mem @ V2872e2 @ A_27a )
% 5.55/5.82 & ? [V2873e3: $i] :
% 5.55/5.82 ( ( mem @ V2873e3 @ A_27a )
% 5.55/5.82 & ? [V2874e4: $i] :
% 5.55/5.82 ( ( mem @ V2874e4 @ A_27a )
% 5.55/5.82 & ? [V2875e5: $i] :
% 5.55/5.82 ( ( mem @ V2875e5 @ A_27a )
% 5.55/5.82 & ? [V2876e6: $i] :
% 5.55/5.82 ( ( mem @ V2876e6 @ A_27a )
% 5.55/5.82 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2870l_27 ) ) )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2871e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2872e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2873e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2874e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2875e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2876e6 ) @ V2870l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.82 <=> ? [V2877l_27: $i] :
% 5.55/5.82 ( ( mem @ V2877l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2878e1: $i] :
% 5.55/5.82 ( ( mem @ V2878e1 @ A_27a )
% 5.55/5.82 & ? [V2879e2: $i] :
% 5.55/5.82 ( ( mem @ V2879e2 @ A_27a )
% 5.55/5.82 & ? [V2880e3: $i] :
% 5.55/5.82 ( ( mem @ V2880e3 @ A_27a )
% 5.55/5.82 & ? [V2881e4: $i] :
% 5.55/5.82 ( ( mem @ V2881e4 @ A_27a )
% 5.55/5.82 & ? [V2882e5: $i] :
% 5.55/5.82 ( ( mem @ V2882e5 @ A_27a )
% 5.55/5.82 & ? [V2883e6: $i] :
% 5.55/5.82 ( ( mem @ V2883e6 @ A_27a )
% 5.55/5.82 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2877l_27 ) ) )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2878e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2879e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2880e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2881e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2882e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2883e6 ) @ V2877l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.82 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.82 <=> ? [V2884l_27: $i] :
% 5.55/5.82 ( ( mem @ V2884l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2885e1: $i] :
% 5.55/5.82 ( ( mem @ V2885e1 @ A_27a )
% 5.55/5.82 & ? [V2886e2: $i] :
% 5.55/5.82 ( ( mem @ V2886e2 @ A_27a )
% 5.55/5.82 & ? [V2887e3: $i] :
% 5.55/5.82 ( ( mem @ V2887e3 @ A_27a )
% 5.55/5.82 & ? [V2888e4: $i] :
% 5.55/5.82 ( ( mem @ V2888e4 @ A_27a )
% 5.55/5.82 & ? [V2889e5: $i] :
% 5.55/5.82 ( ( mem @ V2889e5 @ A_27a )
% 5.55/5.82 & ? [V2890e6: $i] :
% 5.55/5.82 ( ( mem @ V2890e6 @ A_27a )
% 5.55/5.82 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2884l_27 ) )
% 5.55/5.82 = V1x )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2885e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2886e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2887e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2888e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2889e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2890e6 ) @ V2884l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.55/5.82 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V2891l_27: $i] :
% 5.55/5.82 ( ( mem @ V2891l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2892e1: $i] :
% 5.55/5.82 ( ( mem @ V2892e1 @ A_27a )
% 5.55/5.82 & ? [V2893e2: $i] :
% 5.55/5.82 ( ( mem @ V2893e2 @ A_27a )
% 5.55/5.82 & ? [V2894e3: $i] :
% 5.55/5.82 ( ( mem @ V2894e3 @ A_27a )
% 5.55/5.82 & ? [V2895e4: $i] :
% 5.55/5.82 ( ( mem @ V2895e4 @ A_27a )
% 5.55/5.82 & ? [V2896e5: $i] :
% 5.55/5.82 ( ( mem @ V2896e5 @ A_27a )
% 5.55/5.82 & ? [V2897e6: $i] :
% 5.55/5.82 ( ( mem @ V2897e6 @ A_27a )
% 5.55/5.82 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2891l_27 ) )
% 5.55/5.82 = V1x )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2892e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2893e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2894e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2895e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2896e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2897e6 ) @ V2891l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.82 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.82 <=> ? [V2898l_27: $i] :
% 5.55/5.82 ( ( mem @ V2898l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2899e1: $i] :
% 5.55/5.82 ( ( mem @ V2899e1 @ A_27a )
% 5.55/5.82 & ? [V2900e2: $i] :
% 5.55/5.82 ( ( mem @ V2900e2 @ A_27a )
% 5.55/5.82 & ? [V2901e3: $i] :
% 5.55/5.82 ( ( mem @ V2901e3 @ A_27a )
% 5.55/5.82 & ? [V2902e4: $i] :
% 5.55/5.82 ( ( mem @ V2902e4 @ A_27a )
% 5.55/5.82 & ? [V2903e5: $i] :
% 5.55/5.82 ( ( mem @ V2903e5 @ A_27a )
% 5.55/5.82 & ? [V2904e6: $i] :
% 5.55/5.82 ( ( mem @ V2904e6 @ A_27a )
% 5.55/5.82 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2898l_27 ) )
% 5.55/5.82 = V1x )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2899e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2900e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2901e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2902e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2903e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2904e6 ) @ V2898l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.82 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V2905l_27: $i] :
% 5.55/5.82 ( ( mem @ V2905l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2906e1: $i] :
% 5.55/5.82 ( ( mem @ V2906e1 @ A_27a )
% 5.55/5.82 & ? [V2907e2: $i] :
% 5.55/5.82 ( ( mem @ V2907e2 @ A_27a )
% 5.55/5.82 & ? [V2908e3: $i] :
% 5.55/5.82 ( ( mem @ V2908e3 @ A_27a )
% 5.55/5.82 & ? [V2909e4: $i] :
% 5.55/5.82 ( ( mem @ V2909e4 @ A_27a )
% 5.55/5.82 & ? [V2910e5: $i] :
% 5.55/5.82 ( ( mem @ V2910e5 @ A_27a )
% 5.55/5.82 & ? [V2911e6: $i] :
% 5.55/5.82 ( ( mem @ V2911e6 @ A_27a )
% 5.55/5.82 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2905l_27 ) )
% 5.55/5.82 = V1x )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2906e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2907e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2908e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2909e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2910e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2911e6 ) @ V2905l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.82 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.82 <=> ? [V2912e1: $i] :
% 5.55/5.82 ( ( mem @ V2912e1 @ A_27a )
% 5.55/5.82 & ? [V2913e2: $i] :
% 5.55/5.82 ( ( mem @ V2913e2 @ A_27a )
% 5.55/5.82 & ? [V2914e3: $i] :
% 5.55/5.82 ( ( mem @ V2914e3 @ A_27a )
% 5.55/5.82 & ? [V2915e4: $i] :
% 5.55/5.82 ( ( mem @ V2915e4 @ A_27a )
% 5.55/5.82 & ? [V2916e5: $i] :
% 5.55/5.82 ( ( mem @ V2916e5 @ A_27a )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2912e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2913e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2914e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2915e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2916e5 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.82 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V2917e1: $i] :
% 5.55/5.82 ( ( mem @ V2917e1 @ A_27a )
% 5.55/5.82 & ? [V2918e2: $i] :
% 5.55/5.82 ( ( mem @ V2918e2 @ A_27a )
% 5.55/5.82 & ? [V2919e3: $i] :
% 5.55/5.82 ( ( mem @ V2919e3 @ A_27a )
% 5.55/5.82 & ? [V2920e4: $i] :
% 5.55/5.82 ( ( mem @ V2920e4 @ A_27a )
% 5.55/5.82 & ? [V2921e5: $i] :
% 5.55/5.82 ( ( mem @ V2921e5 @ A_27a )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2917e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2918e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2919e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2920e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2921e5 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V2922l_27: $i] :
% 5.55/5.82 ( ( mem @ V2922l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2923e1: $i] :
% 5.55/5.82 ( ( mem @ V2923e1 @ A_27a )
% 5.55/5.82 & ? [V2924e2: $i] :
% 5.55/5.82 ( ( mem @ V2924e2 @ A_27a )
% 5.55/5.82 & ? [V2925e3: $i] :
% 5.55/5.82 ( ( mem @ V2925e3 @ A_27a )
% 5.55/5.82 & ? [V2926e4: $i] :
% 5.55/5.82 ( ( mem @ V2926e4 @ A_27a )
% 5.55/5.82 & ? [V2927e5: $i] :
% 5.55/5.82 ( ( mem @ V2927e5 @ A_27a )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2923e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2924e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2925e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2926e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2927e5 ) @ V2922l_27 ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.82 <=> ? [V2928l_27: $i] :
% 5.55/5.82 ( ( mem @ V2928l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2929e1: $i] :
% 5.55/5.82 ( ( mem @ V2929e1 @ A_27a )
% 5.55/5.82 & ? [V2930e2: $i] :
% 5.55/5.82 ( ( mem @ V2930e2 @ A_27a )
% 5.55/5.82 & ? [V2931e3: $i] :
% 5.55/5.82 ( ( mem @ V2931e3 @ A_27a )
% 5.55/5.82 & ? [V2932e4: $i] :
% 5.55/5.82 ( ( mem @ V2932e4 @ A_27a )
% 5.55/5.82 & ? [V2933e5: $i] :
% 5.55/5.82 ( ( mem @ V2933e5 @ A_27a )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2929e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2930e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2931e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2932e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2933e5 ) @ V2928l_27 ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V2934l_27: $i] :
% 5.55/5.82 ( ( mem @ V2934l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2935e1: $i] :
% 5.55/5.82 ( ( mem @ V2935e1 @ A_27a )
% 5.55/5.82 & ? [V2936e2: $i] :
% 5.55/5.82 ( ( mem @ V2936e2 @ A_27a )
% 5.55/5.82 & ? [V2937e3: $i] :
% 5.55/5.82 ( ( mem @ V2937e3 @ A_27a )
% 5.55/5.82 & ? [V2938e4: $i] :
% 5.55/5.82 ( ( mem @ V2938e4 @ A_27a )
% 5.55/5.82 & ? [V2939e5: $i] :
% 5.55/5.82 ( ( mem @ V2939e5 @ A_27a )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2935e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2936e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2937e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2938e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2939e5 ) @ V2934l_27 ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.82 <=> ? [V2940l_27: $i] :
% 5.55/5.82 ( ( mem @ V2940l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2941e1: $i] :
% 5.55/5.82 ( ( mem @ V2941e1 @ A_27a )
% 5.55/5.82 & ? [V2942e2: $i] :
% 5.55/5.82 ( ( mem @ V2942e2 @ A_27a )
% 5.55/5.82 & ? [V2943e3: $i] :
% 5.55/5.82 ( ( mem @ V2943e3 @ A_27a )
% 5.55/5.82 & ? [V2944e4: $i] :
% 5.55/5.82 ( ( mem @ V2944e4 @ A_27a )
% 5.55/5.82 & ? [V2945e5: $i] :
% 5.55/5.82 ( ( mem @ V2945e5 @ A_27a )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2941e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2942e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2943e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2944e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2945e5 ) @ V2940l_27 ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V2946l_27: $i] :
% 5.55/5.82 ( ( mem @ V2946l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2947e1: $i] :
% 5.55/5.82 ( ( mem @ V2947e1 @ A_27a )
% 5.55/5.82 & ? [V2948e2: $i] :
% 5.55/5.82 ( ( mem @ V2948e2 @ A_27a )
% 5.55/5.82 & ? [V2949e3: $i] :
% 5.55/5.82 ( ( mem @ V2949e3 @ A_27a )
% 5.55/5.82 & ? [V2950e4: $i] :
% 5.55/5.82 ( ( mem @ V2950e4 @ A_27a )
% 5.55/5.82 & ? [V2951e5: $i] :
% 5.55/5.82 ( ( mem @ V2951e5 @ A_27a )
% 5.55/5.82 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2946l_27 ) ) )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2947e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2948e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2949e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2950e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2951e5 ) @ V2946l_27 ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.82 <=> ? [V2952l_27: $i] :
% 5.55/5.82 ( ( mem @ V2952l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2953e1: $i] :
% 5.55/5.82 ( ( mem @ V2953e1 @ A_27a )
% 5.55/5.82 & ? [V2954e2: $i] :
% 5.55/5.82 ( ( mem @ V2954e2 @ A_27a )
% 5.55/5.82 & ? [V2955e3: $i] :
% 5.55/5.82 ( ( mem @ V2955e3 @ A_27a )
% 5.55/5.82 & ? [V2956e4: $i] :
% 5.55/5.82 ( ( mem @ V2956e4 @ A_27a )
% 5.55/5.82 & ? [V2957e5: $i] :
% 5.55/5.82 ( ( mem @ V2957e5 @ A_27a )
% 5.55/5.82 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2952l_27 ) ) )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2953e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2954e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2955e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2956e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2957e5 ) @ V2952l_27 ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V2958l_27: $i] :
% 5.55/5.82 ( ( mem @ V2958l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2959e1: $i] :
% 5.55/5.82 ( ( mem @ V2959e1 @ A_27a )
% 5.55/5.82 & ? [V2960e2: $i] :
% 5.55/5.82 ( ( mem @ V2960e2 @ A_27a )
% 5.55/5.82 & ? [V2961e3: $i] :
% 5.55/5.82 ( ( mem @ V2961e3 @ A_27a )
% 5.55/5.82 & ? [V2962e4: $i] :
% 5.55/5.82 ( ( mem @ V2962e4 @ A_27a )
% 5.55/5.82 & ? [V2963e5: $i] :
% 5.55/5.82 ( ( mem @ V2963e5 @ A_27a )
% 5.55/5.82 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2958l_27 ) ) )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2959e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2960e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2961e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2962e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2963e5 ) @ V2958l_27 ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.82 <=> ? [V2964l_27: $i] :
% 5.55/5.82 ( ( mem @ V2964l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2965e1: $i] :
% 5.55/5.82 ( ( mem @ V2965e1 @ A_27a )
% 5.55/5.82 & ? [V2966e2: $i] :
% 5.55/5.82 ( ( mem @ V2966e2 @ A_27a )
% 5.55/5.82 & ? [V2967e3: $i] :
% 5.55/5.82 ( ( mem @ V2967e3 @ A_27a )
% 5.55/5.82 & ? [V2968e4: $i] :
% 5.55/5.82 ( ( mem @ V2968e4 @ A_27a )
% 5.55/5.82 & ? [V2969e5: $i] :
% 5.55/5.82 ( ( mem @ V2969e5 @ A_27a )
% 5.55/5.82 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2964l_27 ) ) )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2965e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2966e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2967e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2968e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2969e5 ) @ V2964l_27 ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.82 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.82 <=> ? [V2970l_27: $i] :
% 5.55/5.82 ( ( mem @ V2970l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2971e1: $i] :
% 5.55/5.82 ( ( mem @ V2971e1 @ A_27a )
% 5.55/5.82 & ? [V2972e2: $i] :
% 5.55/5.82 ( ( mem @ V2972e2 @ A_27a )
% 5.55/5.82 & ? [V2973e3: $i] :
% 5.55/5.82 ( ( mem @ V2973e3 @ A_27a )
% 5.55/5.82 & ? [V2974e4: $i] :
% 5.55/5.82 ( ( mem @ V2974e4 @ A_27a )
% 5.55/5.82 & ? [V2975e5: $i] :
% 5.55/5.82 ( ( mem @ V2975e5 @ A_27a )
% 5.55/5.82 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2970l_27 ) )
% 5.55/5.82 = V1x )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2971e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2972e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2973e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2974e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2975e5 ) @ V2970l_27 ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.55/5.82 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V2976l_27: $i] :
% 5.55/5.82 ( ( mem @ V2976l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2977e1: $i] :
% 5.55/5.82 ( ( mem @ V2977e1 @ A_27a )
% 5.55/5.82 & ? [V2978e2: $i] :
% 5.55/5.82 ( ( mem @ V2978e2 @ A_27a )
% 5.55/5.82 & ? [V2979e3: $i] :
% 5.55/5.82 ( ( mem @ V2979e3 @ A_27a )
% 5.55/5.82 & ? [V2980e4: $i] :
% 5.55/5.82 ( ( mem @ V2980e4 @ A_27a )
% 5.55/5.82 & ? [V2981e5: $i] :
% 5.55/5.82 ( ( mem @ V2981e5 @ A_27a )
% 5.55/5.82 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2976l_27 ) )
% 5.55/5.82 = V1x )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2977e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2978e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2979e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2980e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2981e5 ) @ V2976l_27 ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.82 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.82 <=> ? [V2982l_27: $i] :
% 5.55/5.82 ( ( mem @ V2982l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2983e1: $i] :
% 5.55/5.82 ( ( mem @ V2983e1 @ A_27a )
% 5.55/5.82 & ? [V2984e2: $i] :
% 5.55/5.82 ( ( mem @ V2984e2 @ A_27a )
% 5.55/5.82 & ? [V2985e3: $i] :
% 5.55/5.82 ( ( mem @ V2985e3 @ A_27a )
% 5.55/5.82 & ? [V2986e4: $i] :
% 5.55/5.82 ( ( mem @ V2986e4 @ A_27a )
% 5.55/5.82 & ? [V2987e5: $i] :
% 5.55/5.82 ( ( mem @ V2987e5 @ A_27a )
% 5.55/5.82 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2982l_27 ) )
% 5.55/5.82 = V1x )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2983e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2984e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2985e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2986e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2987e5 ) @ V2982l_27 ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.82 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V2988l_27: $i] :
% 5.55/5.82 ( ( mem @ V2988l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V2989e1: $i] :
% 5.55/5.82 ( ( mem @ V2989e1 @ A_27a )
% 5.55/5.82 & ? [V2990e2: $i] :
% 5.55/5.82 ( ( mem @ V2990e2 @ A_27a )
% 5.55/5.82 & ? [V2991e3: $i] :
% 5.55/5.82 ( ( mem @ V2991e3 @ A_27a )
% 5.55/5.82 & ? [V2992e4: $i] :
% 5.55/5.82 ( ( mem @ V2992e4 @ A_27a )
% 5.55/5.82 & ? [V2993e5: $i] :
% 5.55/5.82 ( ( mem @ V2993e5 @ A_27a )
% 5.55/5.82 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2988l_27 ) )
% 5.55/5.82 = V1x )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2989e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2990e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2991e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2992e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2993e5 ) @ V2988l_27 ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.82 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.82 <=> ? [V2994e1: $i] :
% 5.55/5.82 ( ( mem @ V2994e1 @ A_27a )
% 5.55/5.82 & ? [V2995e2: $i] :
% 5.55/5.82 ( ( mem @ V2995e2 @ A_27a )
% 5.55/5.82 & ? [V2996e3: $i] :
% 5.55/5.82 ( ( mem @ V2996e3 @ A_27a )
% 5.55/5.82 & ? [V2997e4: $i] :
% 5.55/5.82 ( ( mem @ V2997e4 @ A_27a )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2994e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2995e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2996e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2997e4 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.82 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V2998e1: $i] :
% 5.55/5.82 ( ( mem @ V2998e1 @ A_27a )
% 5.55/5.82 & ? [V2999e2: $i] :
% 5.55/5.82 ( ( mem @ V2999e2 @ A_27a )
% 5.55/5.82 & ? [V3000e3: $i] :
% 5.55/5.82 ( ( mem @ V3000e3 @ A_27a )
% 5.55/5.82 & ? [V3001e4: $i] :
% 5.55/5.82 ( ( mem @ V3001e4 @ A_27a )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2998e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2999e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3000e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3001e4 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V3002l_27: $i] :
% 5.55/5.82 ( ( mem @ V3002l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V3003e1: $i] :
% 5.55/5.82 ( ( mem @ V3003e1 @ A_27a )
% 5.55/5.82 & ? [V3004e2: $i] :
% 5.55/5.82 ( ( mem @ V3004e2 @ A_27a )
% 5.55/5.82 & ? [V3005e3: $i] :
% 5.55/5.82 ( ( mem @ V3005e3 @ A_27a )
% 5.55/5.82 & ? [V3006e4: $i] :
% 5.55/5.82 ( ( mem @ V3006e4 @ A_27a )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3003e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3004e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3005e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3006e4 ) @ V3002l_27 ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.82 <=> ? [V3007l_27: $i] :
% 5.55/5.82 ( ( mem @ V3007l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V3008e1: $i] :
% 5.55/5.82 ( ( mem @ V3008e1 @ A_27a )
% 5.55/5.82 & ? [V3009e2: $i] :
% 5.55/5.82 ( ( mem @ V3009e2 @ A_27a )
% 5.55/5.82 & ? [V3010e3: $i] :
% 5.55/5.82 ( ( mem @ V3010e3 @ A_27a )
% 5.55/5.82 & ? [V3011e4: $i] :
% 5.55/5.82 ( ( mem @ V3011e4 @ A_27a )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3008e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3009e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3010e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3011e4 ) @ V3007l_27 ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V3012l_27: $i] :
% 5.55/5.82 ( ( mem @ V3012l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V3013e1: $i] :
% 5.55/5.82 ( ( mem @ V3013e1 @ A_27a )
% 5.55/5.82 & ? [V3014e2: $i] :
% 5.55/5.82 ( ( mem @ V3014e2 @ A_27a )
% 5.55/5.82 & ? [V3015e3: $i] :
% 5.55/5.82 ( ( mem @ V3015e3 @ A_27a )
% 5.55/5.82 & ? [V3016e4: $i] :
% 5.55/5.82 ( ( mem @ V3016e4 @ A_27a )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3013e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3014e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3015e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3016e4 ) @ V3012l_27 ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.82 <=> ? [V3017l_27: $i] :
% 5.55/5.82 ( ( mem @ V3017l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V3018e1: $i] :
% 5.55/5.82 ( ( mem @ V3018e1 @ A_27a )
% 5.55/5.82 & ? [V3019e2: $i] :
% 5.55/5.82 ( ( mem @ V3019e2 @ A_27a )
% 5.55/5.82 & ? [V3020e3: $i] :
% 5.55/5.82 ( ( mem @ V3020e3 @ A_27a )
% 5.55/5.82 & ? [V3021e4: $i] :
% 5.55/5.82 ( ( mem @ V3021e4 @ A_27a )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3018e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3019e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3020e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3021e4 ) @ V3017l_27 ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V3022l_27: $i] :
% 5.55/5.82 ( ( mem @ V3022l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V3023e1: $i] :
% 5.55/5.82 ( ( mem @ V3023e1 @ A_27a )
% 5.55/5.82 & ? [V3024e2: $i] :
% 5.55/5.82 ( ( mem @ V3024e2 @ A_27a )
% 5.55/5.82 & ? [V3025e3: $i] :
% 5.55/5.82 ( ( mem @ V3025e3 @ A_27a )
% 5.55/5.82 & ? [V3026e4: $i] :
% 5.55/5.82 ( ( mem @ V3026e4 @ A_27a )
% 5.55/5.82 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V3022l_27 ) ) )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3023e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3024e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3025e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3026e4 ) @ V3022l_27 ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.82 <=> ? [V3027l_27: $i] :
% 5.55/5.82 ( ( mem @ V3027l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V3028e1: $i] :
% 5.55/5.82 ( ( mem @ V3028e1 @ A_27a )
% 5.55/5.82 & ? [V3029e2: $i] :
% 5.55/5.82 ( ( mem @ V3029e2 @ A_27a )
% 5.55/5.82 & ? [V3030e3: $i] :
% 5.55/5.82 ( ( mem @ V3030e3 @ A_27a )
% 5.55/5.82 & ? [V3031e4: $i] :
% 5.55/5.82 ( ( mem @ V3031e4 @ A_27a )
% 5.55/5.82 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V3027l_27 ) ) )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3028e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3029e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3030e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3031e4 ) @ V3027l_27 ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V3032l_27: $i] :
% 5.55/5.82 ( ( mem @ V3032l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V3033e1: $i] :
% 5.55/5.82 ( ( mem @ V3033e1 @ A_27a )
% 5.55/5.82 & ? [V3034e2: $i] :
% 5.55/5.82 ( ( mem @ V3034e2 @ A_27a )
% 5.55/5.82 & ? [V3035e3: $i] :
% 5.55/5.82 ( ( mem @ V3035e3 @ A_27a )
% 5.55/5.82 & ? [V3036e4: $i] :
% 5.55/5.82 ( ( mem @ V3036e4 @ A_27a )
% 5.55/5.82 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V3032l_27 ) ) )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3033e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3034e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3035e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3036e4 ) @ V3032l_27 ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.82 <=> ? [V3037l_27: $i] :
% 5.55/5.82 ( ( mem @ V3037l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V3038e1: $i] :
% 5.55/5.82 ( ( mem @ V3038e1 @ A_27a )
% 5.55/5.82 & ? [V3039e2: $i] :
% 5.55/5.82 ( ( mem @ V3039e2 @ A_27a )
% 5.55/5.82 & ? [V3040e3: $i] :
% 5.55/5.82 ( ( mem @ V3040e3 @ A_27a )
% 5.55/5.82 & ? [V3041e4: $i] :
% 5.55/5.82 ( ( mem @ V3041e4 @ A_27a )
% 5.55/5.82 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V3037l_27 ) ) )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3038e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3039e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3040e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3041e4 ) @ V3037l_27 ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.82 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.82 <=> ? [V3042l_27: $i] :
% 5.55/5.82 ( ( mem @ V3042l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V3043e1: $i] :
% 5.55/5.82 ( ( mem @ V3043e1 @ A_27a )
% 5.55/5.82 & ? [V3044e2: $i] :
% 5.55/5.82 ( ( mem @ V3044e2 @ A_27a )
% 5.55/5.82 & ? [V3045e3: $i] :
% 5.55/5.82 ( ( mem @ V3045e3 @ A_27a )
% 5.55/5.82 & ? [V3046e4: $i] :
% 5.55/5.82 ( ( mem @ V3046e4 @ A_27a )
% 5.55/5.82 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V3042l_27 ) )
% 5.55/5.82 = V1x )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3043e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3044e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3045e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3046e4 ) @ V3042l_27 ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.55/5.82 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V3047l_27: $i] :
% 5.55/5.82 ( ( mem @ V3047l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V3048e1: $i] :
% 5.55/5.82 ( ( mem @ V3048e1 @ A_27a )
% 5.55/5.82 & ? [V3049e2: $i] :
% 5.55/5.82 ( ( mem @ V3049e2 @ A_27a )
% 5.55/5.82 & ? [V3050e3: $i] :
% 5.55/5.82 ( ( mem @ V3050e3 @ A_27a )
% 5.55/5.82 & ? [V3051e4: $i] :
% 5.55/5.82 ( ( mem @ V3051e4 @ A_27a )
% 5.55/5.82 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V3047l_27 ) )
% 5.55/5.82 = V1x )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3048e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3049e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3050e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3051e4 ) @ V3047l_27 ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.82 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.82 <=> ? [V3052l_27: $i] :
% 5.55/5.82 ( ( mem @ V3052l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V3053e1: $i] :
% 5.55/5.82 ( ( mem @ V3053e1 @ A_27a )
% 5.55/5.82 & ? [V3054e2: $i] :
% 5.55/5.82 ( ( mem @ V3054e2 @ A_27a )
% 5.55/5.82 & ? [V3055e3: $i] :
% 5.55/5.82 ( ( mem @ V3055e3 @ A_27a )
% 5.55/5.82 & ? [V3056e4: $i] :
% 5.55/5.82 ( ( mem @ V3056e4 @ A_27a )
% 5.55/5.82 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V3052l_27 ) )
% 5.55/5.82 = V1x )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3053e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3054e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3055e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3056e4 ) @ V3052l_27 ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.82 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V3057l_27: $i] :
% 5.55/5.82 ( ( mem @ V3057l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V3058e1: $i] :
% 5.55/5.82 ( ( mem @ V3058e1 @ A_27a )
% 5.55/5.82 & ? [V3059e2: $i] :
% 5.55/5.82 ( ( mem @ V3059e2 @ A_27a )
% 5.55/5.82 & ? [V3060e3: $i] :
% 5.55/5.82 ( ( mem @ V3060e3 @ A_27a )
% 5.55/5.82 & ? [V3061e4: $i] :
% 5.55/5.82 ( ( mem @ V3061e4 @ A_27a )
% 5.55/5.82 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V3057l_27 ) )
% 5.55/5.82 = V1x )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3058e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3059e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3060e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3061e4 ) @ V3057l_27 ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.82 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.82 <=> ? [V3062e1: $i] :
% 5.55/5.82 ( ( mem @ V3062e1 @ A_27a )
% 5.55/5.82 & ? [V3063e2: $i] :
% 5.55/5.82 ( ( mem @ V3063e2 @ A_27a )
% 5.55/5.82 & ? [V3064e3: $i] :
% 5.55/5.82 ( ( mem @ V3064e3 @ A_27a )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3062e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3063e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3064e3 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.82 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V3065e1: $i] :
% 5.55/5.82 ( ( mem @ V3065e1 @ A_27a )
% 5.55/5.82 & ? [V3066e2: $i] :
% 5.55/5.82 ( ( mem @ V3066e2 @ A_27a )
% 5.55/5.82 & ? [V3067e3: $i] :
% 5.55/5.82 ( ( mem @ V3067e3 @ A_27a )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3065e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3066e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3067e3 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V3068l_27: $i] :
% 5.55/5.82 ( ( mem @ V3068l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V3069e1: $i] :
% 5.55/5.82 ( ( mem @ V3069e1 @ A_27a )
% 5.55/5.82 & ? [V3070e2: $i] :
% 5.55/5.82 ( ( mem @ V3070e2 @ A_27a )
% 5.55/5.82 & ? [V3071e3: $i] :
% 5.55/5.82 ( ( mem @ V3071e3 @ A_27a )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3069e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3070e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3071e3 ) @ V3068l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.82 <=> ? [V3072l_27: $i] :
% 5.55/5.82 ( ( mem @ V3072l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V3073e1: $i] :
% 5.55/5.82 ( ( mem @ V3073e1 @ A_27a )
% 5.55/5.82 & ? [V3074e2: $i] :
% 5.55/5.82 ( ( mem @ V3074e2 @ A_27a )
% 5.55/5.82 & ? [V3075e3: $i] :
% 5.55/5.82 ( ( mem @ V3075e3 @ A_27a )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3073e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3074e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3075e3 ) @ V3072l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V3076l_27: $i] :
% 5.55/5.82 ( ( mem @ V3076l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V3077e1: $i] :
% 5.55/5.82 ( ( mem @ V3077e1 @ A_27a )
% 5.55/5.82 & ? [V3078e2: $i] :
% 5.55/5.82 ( ( mem @ V3078e2 @ A_27a )
% 5.55/5.82 & ? [V3079e3: $i] :
% 5.55/5.82 ( ( mem @ V3079e3 @ A_27a )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3077e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3078e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3079e3 ) @ V3076l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.82 <=> ? [V3080l_27: $i] :
% 5.55/5.82 ( ( mem @ V3080l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V3081e1: $i] :
% 5.55/5.82 ( ( mem @ V3081e1 @ A_27a )
% 5.55/5.82 & ? [V3082e2: $i] :
% 5.55/5.82 ( ( mem @ V3082e2 @ A_27a )
% 5.55/5.82 & ? [V3083e3: $i] :
% 5.55/5.82 ( ( mem @ V3083e3 @ A_27a )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3081e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3082e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3083e3 ) @ V3080l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V3084l_27: $i] :
% 5.55/5.82 ( ( mem @ V3084l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V3085e1: $i] :
% 5.55/5.82 ( ( mem @ V3085e1 @ A_27a )
% 5.55/5.82 & ? [V3086e2: $i] :
% 5.55/5.82 ( ( mem @ V3086e2 @ A_27a )
% 5.55/5.82 & ? [V3087e3: $i] :
% 5.55/5.82 ( ( mem @ V3087e3 @ A_27a )
% 5.55/5.82 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V3084l_27 ) ) )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3085e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3086e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3087e3 ) @ V3084l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.82 <=> ? [V3088l_27: $i] :
% 5.55/5.82 ( ( mem @ V3088l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V3089e1: $i] :
% 5.55/5.82 ( ( mem @ V3089e1 @ A_27a )
% 5.55/5.82 & ? [V3090e2: $i] :
% 5.55/5.82 ( ( mem @ V3090e2 @ A_27a )
% 5.55/5.82 & ? [V3091e3: $i] :
% 5.55/5.82 ( ( mem @ V3091e3 @ A_27a )
% 5.55/5.82 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V3088l_27 ) ) )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3089e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3090e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3091e3 ) @ V3088l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V3092l_27: $i] :
% 5.55/5.82 ( ( mem @ V3092l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V3093e1: $i] :
% 5.55/5.82 ( ( mem @ V3093e1 @ A_27a )
% 5.55/5.82 & ? [V3094e2: $i] :
% 5.55/5.82 ( ( mem @ V3094e2 @ A_27a )
% 5.55/5.82 & ? [V3095e3: $i] :
% 5.55/5.82 ( ( mem @ V3095e3 @ A_27a )
% 5.55/5.82 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V3092l_27 ) ) )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3093e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3094e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3095e3 ) @ V3092l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.82 <=> ? [V3096l_27: $i] :
% 5.55/5.82 ( ( mem @ V3096l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V3097e1: $i] :
% 5.55/5.82 ( ( mem @ V3097e1 @ A_27a )
% 5.55/5.82 & ? [V3098e2: $i] :
% 5.55/5.82 ( ( mem @ V3098e2 @ A_27a )
% 5.55/5.82 & ? [V3099e3: $i] :
% 5.55/5.82 ( ( mem @ V3099e3 @ A_27a )
% 5.55/5.82 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V3096l_27 ) ) )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3097e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3098e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3099e3 ) @ V3096l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.82 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.82 <=> ? [V3100l_27: $i] :
% 5.55/5.82 ( ( mem @ V3100l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V3101e1: $i] :
% 5.55/5.82 ( ( mem @ V3101e1 @ A_27a )
% 5.55/5.82 & ? [V3102e2: $i] :
% 5.55/5.82 ( ( mem @ V3102e2 @ A_27a )
% 5.55/5.82 & ? [V3103e3: $i] :
% 5.55/5.82 ( ( mem @ V3103e3 @ A_27a )
% 5.55/5.82 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V3100l_27 ) )
% 5.55/5.82 = V1x )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3101e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3102e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3103e3 ) @ V3100l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.55/5.82 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V3104l_27: $i] :
% 5.55/5.82 ( ( mem @ V3104l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V3105e1: $i] :
% 5.55/5.82 ( ( mem @ V3105e1 @ A_27a )
% 5.55/5.82 & ? [V3106e2: $i] :
% 5.55/5.82 ( ( mem @ V3106e2 @ A_27a )
% 5.55/5.82 & ? [V3107e3: $i] :
% 5.55/5.82 ( ( mem @ V3107e3 @ A_27a )
% 5.55/5.82 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V3104l_27 ) )
% 5.55/5.82 = V1x )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3105e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3106e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3107e3 ) @ V3104l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.82 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.82 <=> ? [V3108l_27: $i] :
% 5.55/5.82 ( ( mem @ V3108l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V3109e1: $i] :
% 5.55/5.82 ( ( mem @ V3109e1 @ A_27a )
% 5.55/5.82 & ? [V3110e2: $i] :
% 5.55/5.82 ( ( mem @ V3110e2 @ A_27a )
% 5.55/5.82 & ? [V3111e3: $i] :
% 5.55/5.82 ( ( mem @ V3111e3 @ A_27a )
% 5.55/5.82 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V3108l_27 ) )
% 5.55/5.82 = V1x )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3109e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3110e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3111e3 ) @ V3108l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.82 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V3112l_27: $i] :
% 5.55/5.82 ( ( mem @ V3112l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V3113e1: $i] :
% 5.55/5.82 ( ( mem @ V3113e1 @ A_27a )
% 5.55/5.82 & ? [V3114e2: $i] :
% 5.55/5.82 ( ( mem @ V3114e2 @ A_27a )
% 5.55/5.82 & ? [V3115e3: $i] :
% 5.55/5.82 ( ( mem @ V3115e3 @ A_27a )
% 5.55/5.82 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V3112l_27 ) )
% 5.55/5.82 = V1x )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3113e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3114e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3115e3 ) @ V3112l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.82 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.82 <=> ? [V3116e1: $i] :
% 5.55/5.82 ( ( mem @ V3116e1 @ A_27a )
% 5.55/5.82 & ? [V3117e2: $i] :
% 5.55/5.82 ( ( mem @ V3117e2 @ A_27a )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3116e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3117e2 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) )
% 5.55/5.82 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) )
% 5.55/5.82 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V3118e1: $i] :
% 5.55/5.82 ( ( mem @ V3118e1 @ A_27a )
% 5.55/5.82 & ? [V3119e2: $i] :
% 5.55/5.82 ( ( mem @ V3119e2 @ A_27a )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3118e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3119e2 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V3120l_27: $i] :
% 5.55/5.82 ( ( mem @ V3120l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V3121e1: $i] :
% 5.55/5.82 ( ( mem @ V3121e1 @ A_27a )
% 5.55/5.82 & ? [V3122e2: $i] :
% 5.55/5.82 ( ( mem @ V3122e2 @ A_27a )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3121e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3122e2 ) @ V3120l_27 ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.82 <=> ? [V3123l_27: $i] :
% 5.55/5.82 ( ( mem @ V3123l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V3124e1: $i] :
% 5.55/5.82 ( ( mem @ V3124e1 @ A_27a )
% 5.55/5.82 & ? [V3125e2: $i] :
% 5.55/5.82 ( ( mem @ V3125e2 @ A_27a )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3124e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3125e2 ) @ V3123l_27 ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V3126l_27: $i] :
% 5.55/5.82 ( ( mem @ V3126l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V3127e1: $i] :
% 5.55/5.82 ( ( mem @ V3127e1 @ A_27a )
% 5.55/5.82 & ? [V3128e2: $i] :
% 5.55/5.82 ( ( mem @ V3128e2 @ A_27a )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3127e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3128e2 ) @ V3126l_27 ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.82 <=> ? [V3129l_27: $i] :
% 5.55/5.82 ( ( mem @ V3129l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V3130e1: $i] :
% 5.55/5.82 ( ( mem @ V3130e1 @ A_27a )
% 5.55/5.82 & ? [V3131e2: $i] :
% 5.55/5.82 ( ( mem @ V3131e2 @ A_27a )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3130e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3131e2 ) @ V3129l_27 ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V3132l_27: $i] :
% 5.55/5.82 ( ( mem @ V3132l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V3133e1: $i] :
% 5.55/5.82 ( ( mem @ V3133e1 @ A_27a )
% 5.55/5.82 & ? [V3134e2: $i] :
% 5.55/5.82 ( ( mem @ V3134e2 @ A_27a )
% 5.55/5.82 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V3132l_27 ) ) )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3133e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3134e2 ) @ V3132l_27 ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.82 <=> ? [V3135l_27: $i] :
% 5.55/5.82 ( ( mem @ V3135l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V3136e1: $i] :
% 5.55/5.82 ( ( mem @ V3136e1 @ A_27a )
% 5.55/5.82 & ? [V3137e2: $i] :
% 5.55/5.82 ( ( mem @ V3137e2 @ A_27a )
% 5.55/5.82 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V3135l_27 ) ) )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3136e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3137e2 ) @ V3135l_27 ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V3138l_27: $i] :
% 5.55/5.82 ( ( mem @ V3138l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V3139e1: $i] :
% 5.55/5.82 ( ( mem @ V3139e1 @ A_27a )
% 5.55/5.82 & ? [V3140e2: $i] :
% 5.55/5.82 ( ( mem @ V3140e2 @ A_27a )
% 5.55/5.82 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V3138l_27 ) ) )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3139e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3140e2 ) @ V3138l_27 ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.82 <=> ? [V3141l_27: $i] :
% 5.55/5.82 ( ( mem @ V3141l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V3142e1: $i] :
% 5.55/5.82 ( ( mem @ V3142e1 @ A_27a )
% 5.55/5.82 & ? [V3143e2: $i] :
% 5.55/5.82 ( ( mem @ V3143e2 @ A_27a )
% 5.55/5.82 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V3141l_27 ) ) )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3142e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3143e2 ) @ V3141l_27 ) ) ) ) ) ) )
% 5.55/5.82 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.82 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.82 <=> ? [V3144l_27: $i] :
% 5.55/5.82 ( ( mem @ V3144l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V3145e1: $i] :
% 5.55/5.82 ( ( mem @ V3145e1 @ A_27a )
% 5.55/5.82 & ? [V3146e2: $i] :
% 5.55/5.82 ( ( mem @ V3146e2 @ A_27a )
% 5.55/5.82 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V3144l_27 ) )
% 5.55/5.82 = V1x )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3145e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3146e2 ) @ V3144l_27 ) ) ) ) ) ) )
% 5.55/5.82 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.55/5.82 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V3147l_27: $i] :
% 5.55/5.82 ( ( mem @ V3147l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V3148e1: $i] :
% 5.55/5.82 ( ( mem @ V3148e1 @ A_27a )
% 5.55/5.82 & ? [V3149e2: $i] :
% 5.55/5.82 ( ( mem @ V3149e2 @ A_27a )
% 5.55/5.82 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V3147l_27 ) )
% 5.55/5.82 = V1x )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3148e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3149e2 ) @ V3147l_27 ) ) ) ) ) ) )
% 5.55/5.82 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.82 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.82 <=> ? [V3150l_27: $i] :
% 5.55/5.82 ( ( mem @ V3150l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V3151e1: $i] :
% 5.55/5.82 ( ( mem @ V3151e1 @ A_27a )
% 5.55/5.82 & ? [V3152e2: $i] :
% 5.55/5.82 ( ( mem @ V3152e2 @ A_27a )
% 5.55/5.82 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V3150l_27 ) )
% 5.55/5.82 = V1x )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3151e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3152e2 ) @ V3150l_27 ) ) ) ) ) ) )
% 5.55/5.82 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.82 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V3153l_27: $i] :
% 5.55/5.82 ( ( mem @ V3153l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V3154e1: $i] :
% 5.55/5.82 ( ( mem @ V3154e1 @ A_27a )
% 5.55/5.82 & ? [V3155e2: $i] :
% 5.55/5.82 ( ( mem @ V3155e2 @ A_27a )
% 5.55/5.82 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V3153l_27 ) )
% 5.55/5.82 = V1x )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3154e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3155e2 ) @ V3153l_27 ) ) ) ) ) ) )
% 5.55/5.82 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.82 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.82 <=> ? [V3156e1: $i] :
% 5.55/5.82 ( ( mem @ V3156e1 @ A_27a )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3156e1 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) )
% 5.55/5.82 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) )
% 5.55/5.82 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V3157e1: $i] :
% 5.55/5.82 ( ( mem @ V3157e1 @ A_27a )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3157e1 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V3158l_27: $i] :
% 5.55/5.82 ( ( mem @ V3158l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V3159e1: $i] :
% 5.55/5.82 ( ( mem @ V3159e1 @ A_27a )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3159e1 ) @ V3158l_27 ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.55/5.82 <=> ? [V3160l_27: $i] :
% 5.55/5.82 ( ( mem @ V3160l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V3161e1: $i] :
% 5.55/5.82 ( ( mem @ V3161e1 @ A_27a )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3161e1 ) @ V3160l_27 ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V3162l_27: $i] :
% 5.55/5.82 ( ( mem @ V3162l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V3163e1: $i] :
% 5.55/5.82 ( ( mem @ V3163e1 @ A_27a )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3163e1 ) @ V3162l_27 ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.82 <=> ? [V3164l_27: $i] :
% 5.55/5.82 ( ( mem @ V3164l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V3165e1: $i] :
% 5.55/5.82 ( ( mem @ V3165e1 @ A_27a )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3165e1 ) @ V3164l_27 ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V3166l_27: $i] :
% 5.55/5.82 ( ( mem @ V3166l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V3167e1: $i] :
% 5.55/5.82 ( ( mem @ V3167e1 @ A_27a )
% 5.55/5.82 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V3166l_27 ) ) )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3167e1 ) @ V3166l_27 ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.82 <=> ? [V3168l_27: $i] :
% 5.55/5.82 ( ( mem @ V3168l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V3169e1: $i] :
% 5.55/5.82 ( ( mem @ V3169e1 @ A_27a )
% 5.55/5.82 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V3168l_27 ) ) )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3169e1 ) @ V3168l_27 ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V3170l_27: $i] :
% 5.55/5.82 ( ( mem @ V3170l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V3171e1: $i] :
% 5.55/5.82 ( ( mem @ V3171e1 @ A_27a )
% 5.55/5.82 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V3170l_27 ) ) )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3171e1 ) @ V3170l_27 ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.82 <=> ? [V3172l_27: $i] :
% 5.55/5.82 ( ( mem @ V3172l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V3173e1: $i] :
% 5.55/5.82 ( ( mem @ V3173e1 @ A_27a )
% 5.55/5.82 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V3172l_27 ) ) )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3173e1 ) @ V3172l_27 ) ) ) ) )
% 5.55/5.82 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.82 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.82 <=> ? [V3174l_27: $i] :
% 5.55/5.82 ( ( mem @ V3174l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V3175e1: $i] :
% 5.55/5.82 ( ( mem @ V3175e1 @ A_27a )
% 5.55/5.82 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V3174l_27 ) )
% 5.55/5.82 = V1x )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3175e1 ) @ V3174l_27 ) ) ) ) )
% 5.55/5.82 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.55/5.82 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V3176l_27: $i] :
% 5.55/5.82 ( ( mem @ V3176l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V3177e1: $i] :
% 5.55/5.82 ( ( mem @ V3177e1 @ A_27a )
% 5.55/5.82 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V3176l_27 ) )
% 5.55/5.82 = V1x )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3177e1 ) @ V3176l_27 ) ) ) ) )
% 5.55/5.82 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.82 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.82 <=> ? [V3178l_27: $i] :
% 5.55/5.82 ( ( mem @ V3178l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V3179e1: $i] :
% 5.55/5.82 ( ( mem @ V3179e1 @ A_27a )
% 5.55/5.82 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V3178l_27 ) )
% 5.55/5.82 = V1x )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3179e1 ) @ V3178l_27 ) ) ) ) )
% 5.55/5.82 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.82 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V3180l_27: $i] :
% 5.55/5.82 ( ( mem @ V3180l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V3181e1: $i] :
% 5.55/5.82 ( ( mem @ V3181e1 @ A_27a )
% 5.55/5.82 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V3180l_27 ) )
% 5.55/5.82 = V1x )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3181e1 ) @ V3180l_27 ) ) ) ) )
% 5.55/5.82 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.82 = fo__c_2Enum_2E0 )
% 5.55/5.82 <=> ( V0l
% 5.55/5.82 = ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.82 & ( ( fo__c_2Enum_2E0
% 5.55/5.82 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ( V0l
% 5.55/5.82 = ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.82 <=> ( V0l
% 5.55/5.82 = ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ( V0l
% 5.55/5.82 = ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ( V0l
% 5.55/5.82 = ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.55/5.82 <=> ( V0l
% 5.55/5.82 = ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ).
% 5.55/5.82
% 5.55/5.82 thf(conj_thm_2EquantHeuristics_2ELIST__LENGTH__25,axiom,
% 5.55/5.82 ! [A_27a: del,V0l: $i] :
% 5.55/5.82 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 => ! [V1x: tp__ty_2Enum_2Enum] :
% 5.55/5.82 ( ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.82 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.82 <=> ? [V2e1: $i] :
% 5.55/5.82 ( ( mem @ V2e1 @ A_27a )
% 5.55/5.82 & ? [V3e2: $i] :
% 5.55/5.82 ( ( mem @ V3e2 @ A_27a )
% 5.55/5.82 & ? [V4e3: $i] :
% 5.55/5.82 ( ( mem @ V4e3 @ A_27a )
% 5.55/5.82 & ? [V5e4: $i] :
% 5.55/5.82 ( ( mem @ V5e4 @ A_27a )
% 5.55/5.82 & ? [V6e5: $i] :
% 5.55/5.82 ( ( mem @ V6e5 @ A_27a )
% 5.55/5.82 & ? [V7e6: $i] :
% 5.55/5.82 ( ( mem @ V7e6 @ A_27a )
% 5.55/5.82 & ? [V8e7: $i] :
% 5.55/5.82 ( ( mem @ V8e7 @ A_27a )
% 5.55/5.82 & ? [V9e8: $i] :
% 5.55/5.82 ( ( mem @ V9e8 @ A_27a )
% 5.55/5.82 & ? [V10e9: $i] :
% 5.55/5.82 ( ( mem @ V10e9 @ A_27a )
% 5.55/5.82 & ? [V11e10: $i] :
% 5.55/5.82 ( ( mem @ V11e10 @ A_27a )
% 5.55/5.82 & ? [V12e11: $i] :
% 5.55/5.82 ( ( mem @ V12e11 @ A_27a )
% 5.55/5.82 & ? [V13e12: $i] :
% 5.55/5.82 ( ( mem @ V13e12 @ A_27a )
% 5.55/5.82 & ? [V14e13: $i] :
% 5.55/5.82 ( ( mem @ V14e13 @ A_27a )
% 5.55/5.82 & ? [V15e14: $i] :
% 5.55/5.82 ( ( mem @ V15e14 @ A_27a )
% 5.55/5.82 & ? [V16e15: $i] :
% 5.55/5.82 ( ( mem @ V16e15 @ A_27a )
% 5.55/5.82 & ? [V17e16: $i] :
% 5.55/5.82 ( ( mem @ V17e16 @ A_27a )
% 5.55/5.82 & ? [V18e17: $i] :
% 5.55/5.82 ( ( mem @ V18e17 @ A_27a )
% 5.55/5.82 & ? [V19e18: $i] :
% 5.55/5.82 ( ( mem @ V19e18 @ A_27a )
% 5.55/5.82 & ? [V20e19: $i] :
% 5.55/5.82 ( ( mem @ V20e19 @ A_27a )
% 5.55/5.82 & ? [V21e20: $i] :
% 5.55/5.82 ( ( mem @ V21e20 @ A_27a )
% 5.55/5.82 & ? [V22e21: $i] :
% 5.55/5.82 ( ( mem @ V22e21 @ A_27a )
% 5.55/5.82 & ? [V23e22: $i] :
% 5.55/5.82 ( ( mem @ V23e22 @ A_27a )
% 5.55/5.82 & ? [V24e23: $i] :
% 5.55/5.82 ( ( mem @ V24e23 @ A_27a )
% 5.55/5.82 & ? [V25e24: $i] :
% 5.55/5.82 ( ( mem @ V25e24 @ A_27a )
% 5.55/5.82 & ? [V26e25: $i] :
% 5.55/5.82 ( ( mem @ V26e25 @ A_27a )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V5e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V6e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V7e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V8e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V9e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V10e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V11e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V12e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V13e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V14e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V15e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V16e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V17e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V18e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V19e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V20e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V21e20 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V22e21 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V23e22 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V24e23 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V25e24 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V26e25 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.82 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V27e1: $i] :
% 5.55/5.82 ( ( mem @ V27e1 @ A_27a )
% 5.55/5.82 & ? [V28e2: $i] :
% 5.55/5.82 ( ( mem @ V28e2 @ A_27a )
% 5.55/5.82 & ? [V29e3: $i] :
% 5.55/5.82 ( ( mem @ V29e3 @ A_27a )
% 5.55/5.82 & ? [V30e4: $i] :
% 5.55/5.82 ( ( mem @ V30e4 @ A_27a )
% 5.55/5.82 & ? [V31e5: $i] :
% 5.55/5.82 ( ( mem @ V31e5 @ A_27a )
% 5.55/5.82 & ? [V32e6: $i] :
% 5.55/5.82 ( ( mem @ V32e6 @ A_27a )
% 5.55/5.82 & ? [V33e7: $i] :
% 5.55/5.82 ( ( mem @ V33e7 @ A_27a )
% 5.55/5.82 & ? [V34e8: $i] :
% 5.55/5.82 ( ( mem @ V34e8 @ A_27a )
% 5.55/5.82 & ? [V35e9: $i] :
% 5.55/5.82 ( ( mem @ V35e9 @ A_27a )
% 5.55/5.82 & ? [V36e10: $i] :
% 5.55/5.82 ( ( mem @ V36e10 @ A_27a )
% 5.55/5.82 & ? [V37e11: $i] :
% 5.55/5.82 ( ( mem @ V37e11 @ A_27a )
% 5.55/5.82 & ? [V38e12: $i] :
% 5.55/5.82 ( ( mem @ V38e12 @ A_27a )
% 5.55/5.82 & ? [V39e13: $i] :
% 5.55/5.82 ( ( mem @ V39e13 @ A_27a )
% 5.55/5.82 & ? [V40e14: $i] :
% 5.55/5.82 ( ( mem @ V40e14 @ A_27a )
% 5.55/5.82 & ? [V41e15: $i] :
% 5.55/5.82 ( ( mem @ V41e15 @ A_27a )
% 5.55/5.82 & ? [V42e16: $i] :
% 5.55/5.82 ( ( mem @ V42e16 @ A_27a )
% 5.55/5.82 & ? [V43e17: $i] :
% 5.55/5.82 ( ( mem @ V43e17 @ A_27a )
% 5.55/5.82 & ? [V44e18: $i] :
% 5.55/5.82 ( ( mem @ V44e18 @ A_27a )
% 5.55/5.82 & ? [V45e19: $i] :
% 5.55/5.82 ( ( mem @ V45e19 @ A_27a )
% 5.55/5.82 & ? [V46e20: $i] :
% 5.55/5.82 ( ( mem @ V46e20 @ A_27a )
% 5.55/5.82 & ? [V47e21: $i] :
% 5.55/5.82 ( ( mem @ V47e21 @ A_27a )
% 5.55/5.82 & ? [V48e22: $i] :
% 5.55/5.82 ( ( mem @ V48e22 @ A_27a )
% 5.55/5.82 & ? [V49e23: $i] :
% 5.55/5.82 ( ( mem @ V49e23 @ A_27a )
% 5.55/5.82 & ? [V50e24: $i] :
% 5.55/5.82 ( ( mem @ V50e24 @ A_27a )
% 5.55/5.82 & ? [V51e25: $i] :
% 5.55/5.82 ( ( mem @ V51e25 @ A_27a )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V27e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V28e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V29e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V30e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V31e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V32e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V33e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V34e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V35e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V36e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V37e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V38e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V39e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V40e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V41e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V42e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V43e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V44e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V45e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V46e20 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V47e21 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V48e22 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V49e23 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V50e24 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V51e25 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V52l_27: $i] :
% 5.55/5.82 ( ( mem @ V52l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V53e1: $i] :
% 5.55/5.82 ( ( mem @ V53e1 @ A_27a )
% 5.55/5.82 & ? [V54e2: $i] :
% 5.55/5.82 ( ( mem @ V54e2 @ A_27a )
% 5.55/5.82 & ? [V55e3: $i] :
% 5.55/5.82 ( ( mem @ V55e3 @ A_27a )
% 5.55/5.82 & ? [V56e4: $i] :
% 5.55/5.82 ( ( mem @ V56e4 @ A_27a )
% 5.55/5.82 & ? [V57e5: $i] :
% 5.55/5.82 ( ( mem @ V57e5 @ A_27a )
% 5.55/5.82 & ? [V58e6: $i] :
% 5.55/5.82 ( ( mem @ V58e6 @ A_27a )
% 5.55/5.82 & ? [V59e7: $i] :
% 5.55/5.82 ( ( mem @ V59e7 @ A_27a )
% 5.55/5.82 & ? [V60e8: $i] :
% 5.55/5.82 ( ( mem @ V60e8 @ A_27a )
% 5.55/5.82 & ? [V61e9: $i] :
% 5.55/5.82 ( ( mem @ V61e9 @ A_27a )
% 5.55/5.82 & ? [V62e10: $i] :
% 5.55/5.82 ( ( mem @ V62e10 @ A_27a )
% 5.55/5.82 & ? [V63e11: $i] :
% 5.55/5.82 ( ( mem @ V63e11 @ A_27a )
% 5.55/5.82 & ? [V64e12: $i] :
% 5.55/5.82 ( ( mem @ V64e12 @ A_27a )
% 5.55/5.82 & ? [V65e13: $i] :
% 5.55/5.82 ( ( mem @ V65e13 @ A_27a )
% 5.55/5.82 & ? [V66e14: $i] :
% 5.55/5.82 ( ( mem @ V66e14 @ A_27a )
% 5.55/5.82 & ? [V67e15: $i] :
% 5.55/5.82 ( ( mem @ V67e15 @ A_27a )
% 5.55/5.82 & ? [V68e16: $i] :
% 5.55/5.82 ( ( mem @ V68e16 @ A_27a )
% 5.55/5.82 & ? [V69e17: $i] :
% 5.55/5.82 ( ( mem @ V69e17 @ A_27a )
% 5.55/5.82 & ? [V70e18: $i] :
% 5.55/5.82 ( ( mem @ V70e18 @ A_27a )
% 5.55/5.82 & ? [V71e19: $i] :
% 5.55/5.82 ( ( mem @ V71e19 @ A_27a )
% 5.55/5.82 & ? [V72e20: $i] :
% 5.55/5.82 ( ( mem @ V72e20 @ A_27a )
% 5.55/5.82 & ? [V73e21: $i] :
% 5.55/5.82 ( ( mem @ V73e21 @ A_27a )
% 5.55/5.82 & ? [V74e22: $i] :
% 5.55/5.82 ( ( mem @ V74e22 @ A_27a )
% 5.55/5.82 & ? [V75e23: $i] :
% 5.55/5.82 ( ( mem @ V75e23 @ A_27a )
% 5.55/5.82 & ? [V76e24: $i] :
% 5.55/5.82 ( ( mem @ V76e24 @ A_27a )
% 5.55/5.82 & ? [V77e25: $i] :
% 5.55/5.82 ( ( mem @ V77e25 @ A_27a )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V53e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V54e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V55e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V56e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V57e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V58e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V59e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V60e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V61e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V62e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V63e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V64e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V65e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V66e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V67e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V68e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V69e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V70e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V71e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V72e20 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V73e21 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V74e22 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V75e23 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V76e24 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V77e25 ) @ V52l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.82 <=> ? [V78l_27: $i] :
% 5.55/5.82 ( ( mem @ V78l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V79e1: $i] :
% 5.55/5.82 ( ( mem @ V79e1 @ A_27a )
% 5.55/5.82 & ? [V80e2: $i] :
% 5.55/5.82 ( ( mem @ V80e2 @ A_27a )
% 5.55/5.82 & ? [V81e3: $i] :
% 5.55/5.82 ( ( mem @ V81e3 @ A_27a )
% 5.55/5.82 & ? [V82e4: $i] :
% 5.55/5.82 ( ( mem @ V82e4 @ A_27a )
% 5.55/5.82 & ? [V83e5: $i] :
% 5.55/5.82 ( ( mem @ V83e5 @ A_27a )
% 5.55/5.82 & ? [V84e6: $i] :
% 5.55/5.82 ( ( mem @ V84e6 @ A_27a )
% 5.55/5.82 & ? [V85e7: $i] :
% 5.55/5.82 ( ( mem @ V85e7 @ A_27a )
% 5.55/5.82 & ? [V86e8: $i] :
% 5.55/5.82 ( ( mem @ V86e8 @ A_27a )
% 5.55/5.82 & ? [V87e9: $i] :
% 5.55/5.82 ( ( mem @ V87e9 @ A_27a )
% 5.55/5.82 & ? [V88e10: $i] :
% 5.55/5.82 ( ( mem @ V88e10 @ A_27a )
% 5.55/5.82 & ? [V89e11: $i] :
% 5.55/5.82 ( ( mem @ V89e11 @ A_27a )
% 5.55/5.82 & ? [V90e12: $i] :
% 5.55/5.82 ( ( mem @ V90e12 @ A_27a )
% 5.55/5.82 & ? [V91e13: $i] :
% 5.55/5.82 ( ( mem @ V91e13 @ A_27a )
% 5.55/5.82 & ? [V92e14: $i] :
% 5.55/5.82 ( ( mem @ V92e14 @ A_27a )
% 5.55/5.82 & ? [V93e15: $i] :
% 5.55/5.82 ( ( mem @ V93e15 @ A_27a )
% 5.55/5.82 & ? [V94e16: $i] :
% 5.55/5.82 ( ( mem @ V94e16 @ A_27a )
% 5.55/5.82 & ? [V95e17: $i] :
% 5.55/5.82 ( ( mem @ V95e17 @ A_27a )
% 5.55/5.82 & ? [V96e18: $i] :
% 5.55/5.82 ( ( mem @ V96e18 @ A_27a )
% 5.55/5.82 & ? [V97e19: $i] :
% 5.55/5.82 ( ( mem @ V97e19 @ A_27a )
% 5.55/5.82 & ? [V98e20: $i] :
% 5.55/5.82 ( ( mem @ V98e20 @ A_27a )
% 5.55/5.82 & ? [V99e21: $i] :
% 5.55/5.82 ( ( mem @ V99e21 @ A_27a )
% 5.55/5.82 & ? [V100e22: $i] :
% 5.55/5.82 ( ( mem @ V100e22 @ A_27a )
% 5.55/5.82 & ? [V101e23: $i] :
% 5.55/5.82 ( ( mem @ V101e23 @ A_27a )
% 5.55/5.82 & ? [V102e24: $i] :
% 5.55/5.82 ( ( mem @ V102e24 @ A_27a )
% 5.55/5.82 & ? [V103e25: $i] :
% 5.55/5.82 ( ( mem @ V103e25 @ A_27a )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V79e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V80e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V81e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V82e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V83e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V84e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V85e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V86e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V87e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V88e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V89e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V90e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V91e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V92e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V93e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V94e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V95e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V96e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V97e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V98e20 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V99e21 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V100e22 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V101e23 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V102e24 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V103e25 ) @ V78l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V104l_27: $i] :
% 5.55/5.82 ( ( mem @ V104l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V105e1: $i] :
% 5.55/5.82 ( ( mem @ V105e1 @ A_27a )
% 5.55/5.82 & ? [V106e2: $i] :
% 5.55/5.82 ( ( mem @ V106e2 @ A_27a )
% 5.55/5.82 & ? [V107e3: $i] :
% 5.55/5.82 ( ( mem @ V107e3 @ A_27a )
% 5.55/5.82 & ? [V108e4: $i] :
% 5.55/5.82 ( ( mem @ V108e4 @ A_27a )
% 5.55/5.82 & ? [V109e5: $i] :
% 5.55/5.82 ( ( mem @ V109e5 @ A_27a )
% 5.55/5.82 & ? [V110e6: $i] :
% 5.55/5.82 ( ( mem @ V110e6 @ A_27a )
% 5.55/5.82 & ? [V111e7: $i] :
% 5.55/5.82 ( ( mem @ V111e7 @ A_27a )
% 5.55/5.82 & ? [V112e8: $i] :
% 5.55/5.82 ( ( mem @ V112e8 @ A_27a )
% 5.55/5.82 & ? [V113e9: $i] :
% 5.55/5.82 ( ( mem @ V113e9 @ A_27a )
% 5.55/5.82 & ? [V114e10: $i] :
% 5.55/5.82 ( ( mem @ V114e10 @ A_27a )
% 5.55/5.82 & ? [V115e11: $i] :
% 5.55/5.82 ( ( mem @ V115e11 @ A_27a )
% 5.55/5.82 & ? [V116e12: $i] :
% 5.55/5.82 ( ( mem @ V116e12 @ A_27a )
% 5.55/5.82 & ? [V117e13: $i] :
% 5.55/5.82 ( ( mem @ V117e13 @ A_27a )
% 5.55/5.82 & ? [V118e14: $i] :
% 5.55/5.82 ( ( mem @ V118e14 @ A_27a )
% 5.55/5.82 & ? [V119e15: $i] :
% 5.55/5.82 ( ( mem @ V119e15 @ A_27a )
% 5.55/5.82 & ? [V120e16: $i] :
% 5.55/5.82 ( ( mem @ V120e16 @ A_27a )
% 5.55/5.82 & ? [V121e17: $i] :
% 5.55/5.82 ( ( mem @ V121e17 @ A_27a )
% 5.55/5.82 & ? [V122e18: $i] :
% 5.55/5.82 ( ( mem @ V122e18 @ A_27a )
% 5.55/5.82 & ? [V123e19: $i] :
% 5.55/5.82 ( ( mem @ V123e19 @ A_27a )
% 5.55/5.82 & ? [V124e20: $i] :
% 5.55/5.82 ( ( mem @ V124e20 @ A_27a )
% 5.55/5.82 & ? [V125e21: $i] :
% 5.55/5.82 ( ( mem @ V125e21 @ A_27a )
% 5.55/5.82 & ? [V126e22: $i] :
% 5.55/5.82 ( ( mem @ V126e22 @ A_27a )
% 5.55/5.82 & ? [V127e23: $i] :
% 5.55/5.82 ( ( mem @ V127e23 @ A_27a )
% 5.55/5.82 & ? [V128e24: $i] :
% 5.55/5.82 ( ( mem @ V128e24 @ A_27a )
% 5.55/5.82 & ? [V129e25: $i] :
% 5.55/5.82 ( ( mem @ V129e25 @ A_27a )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V105e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V106e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V107e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V108e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V109e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V110e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V111e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V112e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V113e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V114e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V115e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V116e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V117e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V118e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V119e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V120e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V121e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V122e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V123e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V124e20 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V125e21 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V126e22 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V127e23 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V128e24 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V129e25 ) @ V104l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.82 <=> ? [V130l_27: $i] :
% 5.55/5.82 ( ( mem @ V130l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V131e1: $i] :
% 5.55/5.82 ( ( mem @ V131e1 @ A_27a )
% 5.55/5.82 & ? [V132e2: $i] :
% 5.55/5.82 ( ( mem @ V132e2 @ A_27a )
% 5.55/5.82 & ? [V133e3: $i] :
% 5.55/5.82 ( ( mem @ V133e3 @ A_27a )
% 5.55/5.82 & ? [V134e4: $i] :
% 5.55/5.82 ( ( mem @ V134e4 @ A_27a )
% 5.55/5.82 & ? [V135e5: $i] :
% 5.55/5.82 ( ( mem @ V135e5 @ A_27a )
% 5.55/5.82 & ? [V136e6: $i] :
% 5.55/5.82 ( ( mem @ V136e6 @ A_27a )
% 5.55/5.82 & ? [V137e7: $i] :
% 5.55/5.82 ( ( mem @ V137e7 @ A_27a )
% 5.55/5.82 & ? [V138e8: $i] :
% 5.55/5.82 ( ( mem @ V138e8 @ A_27a )
% 5.55/5.82 & ? [V139e9: $i] :
% 5.55/5.82 ( ( mem @ V139e9 @ A_27a )
% 5.55/5.82 & ? [V140e10: $i] :
% 5.55/5.82 ( ( mem @ V140e10 @ A_27a )
% 5.55/5.82 & ? [V141e11: $i] :
% 5.55/5.82 ( ( mem @ V141e11 @ A_27a )
% 5.55/5.82 & ? [V142e12: $i] :
% 5.55/5.82 ( ( mem @ V142e12 @ A_27a )
% 5.55/5.82 & ? [V143e13: $i] :
% 5.55/5.82 ( ( mem @ V143e13 @ A_27a )
% 5.55/5.82 & ? [V144e14: $i] :
% 5.55/5.82 ( ( mem @ V144e14 @ A_27a )
% 5.55/5.82 & ? [V145e15: $i] :
% 5.55/5.82 ( ( mem @ V145e15 @ A_27a )
% 5.55/5.82 & ? [V146e16: $i] :
% 5.55/5.82 ( ( mem @ V146e16 @ A_27a )
% 5.55/5.82 & ? [V147e17: $i] :
% 5.55/5.82 ( ( mem @ V147e17 @ A_27a )
% 5.55/5.82 & ? [V148e18: $i] :
% 5.55/5.82 ( ( mem @ V148e18 @ A_27a )
% 5.55/5.82 & ? [V149e19: $i] :
% 5.55/5.82 ( ( mem @ V149e19 @ A_27a )
% 5.55/5.82 & ? [V150e20: $i] :
% 5.55/5.82 ( ( mem @ V150e20 @ A_27a )
% 5.55/5.82 & ? [V151e21: $i] :
% 5.55/5.82 ( ( mem @ V151e21 @ A_27a )
% 5.55/5.82 & ? [V152e22: $i] :
% 5.55/5.82 ( ( mem @ V152e22 @ A_27a )
% 5.55/5.82 & ? [V153e23: $i] :
% 5.55/5.82 ( ( mem @ V153e23 @ A_27a )
% 5.55/5.82 & ? [V154e24: $i] :
% 5.55/5.82 ( ( mem @ V154e24 @ A_27a )
% 5.55/5.82 & ? [V155e25: $i] :
% 5.55/5.82 ( ( mem @ V155e25 @ A_27a )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V131e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V132e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V133e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V134e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V135e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V136e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V137e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V138e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V139e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V140e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V141e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V142e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V143e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V144e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V145e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V146e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V147e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V148e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V149e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V150e20 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V151e21 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V152e22 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V153e23 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V154e24 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V155e25 ) @ V130l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V156l_27: $i] :
% 5.55/5.82 ( ( mem @ V156l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V157e1: $i] :
% 5.55/5.82 ( ( mem @ V157e1 @ A_27a )
% 5.55/5.82 & ? [V158e2: $i] :
% 5.55/5.82 ( ( mem @ V158e2 @ A_27a )
% 5.55/5.82 & ? [V159e3: $i] :
% 5.55/5.82 ( ( mem @ V159e3 @ A_27a )
% 5.55/5.82 & ? [V160e4: $i] :
% 5.55/5.82 ( ( mem @ V160e4 @ A_27a )
% 5.55/5.82 & ? [V161e5: $i] :
% 5.55/5.82 ( ( mem @ V161e5 @ A_27a )
% 5.55/5.82 & ? [V162e6: $i] :
% 5.55/5.82 ( ( mem @ V162e6 @ A_27a )
% 5.55/5.82 & ? [V163e7: $i] :
% 5.55/5.82 ( ( mem @ V163e7 @ A_27a )
% 5.55/5.82 & ? [V164e8: $i] :
% 5.55/5.82 ( ( mem @ V164e8 @ A_27a )
% 5.55/5.82 & ? [V165e9: $i] :
% 5.55/5.82 ( ( mem @ V165e9 @ A_27a )
% 5.55/5.82 & ? [V166e10: $i] :
% 5.55/5.82 ( ( mem @ V166e10 @ A_27a )
% 5.55/5.82 & ? [V167e11: $i] :
% 5.55/5.82 ( ( mem @ V167e11 @ A_27a )
% 5.55/5.82 & ? [V168e12: $i] :
% 5.55/5.82 ( ( mem @ V168e12 @ A_27a )
% 5.55/5.82 & ? [V169e13: $i] :
% 5.55/5.82 ( ( mem @ V169e13 @ A_27a )
% 5.55/5.82 & ? [V170e14: $i] :
% 5.55/5.82 ( ( mem @ V170e14 @ A_27a )
% 5.55/5.82 & ? [V171e15: $i] :
% 5.55/5.82 ( ( mem @ V171e15 @ A_27a )
% 5.55/5.82 & ? [V172e16: $i] :
% 5.55/5.82 ( ( mem @ V172e16 @ A_27a )
% 5.55/5.82 & ? [V173e17: $i] :
% 5.55/5.82 ( ( mem @ V173e17 @ A_27a )
% 5.55/5.82 & ? [V174e18: $i] :
% 5.55/5.82 ( ( mem @ V174e18 @ A_27a )
% 5.55/5.82 & ? [V175e19: $i] :
% 5.55/5.82 ( ( mem @ V175e19 @ A_27a )
% 5.55/5.82 & ? [V176e20: $i] :
% 5.55/5.82 ( ( mem @ V176e20 @ A_27a )
% 5.55/5.82 & ? [V177e21: $i] :
% 5.55/5.82 ( ( mem @ V177e21 @ A_27a )
% 5.55/5.82 & ? [V178e22: $i] :
% 5.55/5.82 ( ( mem @ V178e22 @ A_27a )
% 5.55/5.82 & ? [V179e23: $i] :
% 5.55/5.82 ( ( mem @ V179e23 @ A_27a )
% 5.55/5.82 & ? [V180e24: $i] :
% 5.55/5.82 ( ( mem @ V180e24 @ A_27a )
% 5.55/5.82 & ? [V181e25: $i] :
% 5.55/5.82 ( ( mem @ V181e25 @ A_27a )
% 5.55/5.82 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V156l_27 ) ) )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V157e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V158e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V159e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V160e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V161e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V162e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V163e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V164e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V165e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V166e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V167e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V168e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V169e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V170e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V171e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V172e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V173e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V174e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V175e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V176e20 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V177e21 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V178e22 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V179e23 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V180e24 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V181e25 ) @ V156l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.82 <=> ? [V182l_27: $i] :
% 5.55/5.82 ( ( mem @ V182l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V183e1: $i] :
% 5.55/5.82 ( ( mem @ V183e1 @ A_27a )
% 5.55/5.82 & ? [V184e2: $i] :
% 5.55/5.82 ( ( mem @ V184e2 @ A_27a )
% 5.55/5.82 & ? [V185e3: $i] :
% 5.55/5.82 ( ( mem @ V185e3 @ A_27a )
% 5.55/5.82 & ? [V186e4: $i] :
% 5.55/5.82 ( ( mem @ V186e4 @ A_27a )
% 5.55/5.82 & ? [V187e5: $i] :
% 5.55/5.82 ( ( mem @ V187e5 @ A_27a )
% 5.55/5.82 & ? [V188e6: $i] :
% 5.55/5.82 ( ( mem @ V188e6 @ A_27a )
% 5.55/5.82 & ? [V189e7: $i] :
% 5.55/5.82 ( ( mem @ V189e7 @ A_27a )
% 5.55/5.82 & ? [V190e8: $i] :
% 5.55/5.82 ( ( mem @ V190e8 @ A_27a )
% 5.55/5.82 & ? [V191e9: $i] :
% 5.55/5.82 ( ( mem @ V191e9 @ A_27a )
% 5.55/5.82 & ? [V192e10: $i] :
% 5.55/5.82 ( ( mem @ V192e10 @ A_27a )
% 5.55/5.82 & ? [V193e11: $i] :
% 5.55/5.82 ( ( mem @ V193e11 @ A_27a )
% 5.55/5.82 & ? [V194e12: $i] :
% 5.55/5.82 ( ( mem @ V194e12 @ A_27a )
% 5.55/5.82 & ? [V195e13: $i] :
% 5.55/5.82 ( ( mem @ V195e13 @ A_27a )
% 5.55/5.82 & ? [V196e14: $i] :
% 5.55/5.82 ( ( mem @ V196e14 @ A_27a )
% 5.55/5.82 & ? [V197e15: $i] :
% 5.55/5.82 ( ( mem @ V197e15 @ A_27a )
% 5.55/5.82 & ? [V198e16: $i] :
% 5.55/5.82 ( ( mem @ V198e16 @ A_27a )
% 5.55/5.82 & ? [V199e17: $i] :
% 5.55/5.82 ( ( mem @ V199e17 @ A_27a )
% 5.55/5.82 & ? [V200e18: $i] :
% 5.55/5.82 ( ( mem @ V200e18 @ A_27a )
% 5.55/5.82 & ? [V201e19: $i] :
% 5.55/5.82 ( ( mem @ V201e19 @ A_27a )
% 5.55/5.82 & ? [V202e20: $i] :
% 5.55/5.82 ( ( mem @ V202e20 @ A_27a )
% 5.55/5.82 & ? [V203e21: $i] :
% 5.55/5.82 ( ( mem @ V203e21 @ A_27a )
% 5.55/5.82 & ? [V204e22: $i] :
% 5.55/5.82 ( ( mem @ V204e22 @ A_27a )
% 5.55/5.82 & ? [V205e23: $i] :
% 5.55/5.82 ( ( mem @ V205e23 @ A_27a )
% 5.55/5.82 & ? [V206e24: $i] :
% 5.55/5.82 ( ( mem @ V206e24 @ A_27a )
% 5.55/5.82 & ? [V207e25: $i] :
% 5.55/5.82 ( ( mem @ V207e25 @ A_27a )
% 5.55/5.82 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V182l_27 ) ) )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V183e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V184e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V185e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V186e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V187e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V188e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V189e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V190e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V191e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V192e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V193e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V194e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V195e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V196e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V197e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V198e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V199e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V200e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V201e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V202e20 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V203e21 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V204e22 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V205e23 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V206e24 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V207e25 ) @ V182l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V208l_27: $i] :
% 5.55/5.82 ( ( mem @ V208l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V209e1: $i] :
% 5.55/5.82 ( ( mem @ V209e1 @ A_27a )
% 5.55/5.82 & ? [V210e2: $i] :
% 5.55/5.82 ( ( mem @ V210e2 @ A_27a )
% 5.55/5.82 & ? [V211e3: $i] :
% 5.55/5.82 ( ( mem @ V211e3 @ A_27a )
% 5.55/5.82 & ? [V212e4: $i] :
% 5.55/5.82 ( ( mem @ V212e4 @ A_27a )
% 5.55/5.82 & ? [V213e5: $i] :
% 5.55/5.82 ( ( mem @ V213e5 @ A_27a )
% 5.55/5.82 & ? [V214e6: $i] :
% 5.55/5.82 ( ( mem @ V214e6 @ A_27a )
% 5.55/5.82 & ? [V215e7: $i] :
% 5.55/5.82 ( ( mem @ V215e7 @ A_27a )
% 5.55/5.82 & ? [V216e8: $i] :
% 5.55/5.82 ( ( mem @ V216e8 @ A_27a )
% 5.55/5.82 & ? [V217e9: $i] :
% 5.55/5.82 ( ( mem @ V217e9 @ A_27a )
% 5.55/5.82 & ? [V218e10: $i] :
% 5.55/5.82 ( ( mem @ V218e10 @ A_27a )
% 5.55/5.82 & ? [V219e11: $i] :
% 5.55/5.82 ( ( mem @ V219e11 @ A_27a )
% 5.55/5.82 & ? [V220e12: $i] :
% 5.55/5.82 ( ( mem @ V220e12 @ A_27a )
% 5.55/5.82 & ? [V221e13: $i] :
% 5.55/5.82 ( ( mem @ V221e13 @ A_27a )
% 5.55/5.82 & ? [V222e14: $i] :
% 5.55/5.82 ( ( mem @ V222e14 @ A_27a )
% 5.55/5.82 & ? [V223e15: $i] :
% 5.55/5.82 ( ( mem @ V223e15 @ A_27a )
% 5.55/5.82 & ? [V224e16: $i] :
% 5.55/5.82 ( ( mem @ V224e16 @ A_27a )
% 5.55/5.82 & ? [V225e17: $i] :
% 5.55/5.82 ( ( mem @ V225e17 @ A_27a )
% 5.55/5.82 & ? [V226e18: $i] :
% 5.55/5.82 ( ( mem @ V226e18 @ A_27a )
% 5.55/5.82 & ? [V227e19: $i] :
% 5.55/5.82 ( ( mem @ V227e19 @ A_27a )
% 5.55/5.82 & ? [V228e20: $i] :
% 5.55/5.82 ( ( mem @ V228e20 @ A_27a )
% 5.55/5.82 & ? [V229e21: $i] :
% 5.55/5.82 ( ( mem @ V229e21 @ A_27a )
% 5.55/5.82 & ? [V230e22: $i] :
% 5.55/5.82 ( ( mem @ V230e22 @ A_27a )
% 5.55/5.82 & ? [V231e23: $i] :
% 5.55/5.82 ( ( mem @ V231e23 @ A_27a )
% 5.55/5.82 & ? [V232e24: $i] :
% 5.55/5.82 ( ( mem @ V232e24 @ A_27a )
% 5.55/5.82 & ? [V233e25: $i] :
% 5.55/5.82 ( ( mem @ V233e25 @ A_27a )
% 5.55/5.82 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V208l_27 ) ) )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V209e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V210e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V211e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V212e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V213e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V214e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V215e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V216e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V217e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V218e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V219e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V220e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V221e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V222e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V223e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V224e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V225e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V226e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V227e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V228e20 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V229e21 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V230e22 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V231e23 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V232e24 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V233e25 ) @ V208l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) )
% 5.55/5.82 <=> ? [V234l_27: $i] :
% 5.55/5.82 ( ( mem @ V234l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V235e1: $i] :
% 5.55/5.82 ( ( mem @ V235e1 @ A_27a )
% 5.55/5.82 & ? [V236e2: $i] :
% 5.55/5.82 ( ( mem @ V236e2 @ A_27a )
% 5.55/5.82 & ? [V237e3: $i] :
% 5.55/5.82 ( ( mem @ V237e3 @ A_27a )
% 5.55/5.82 & ? [V238e4: $i] :
% 5.55/5.82 ( ( mem @ V238e4 @ A_27a )
% 5.55/5.82 & ? [V239e5: $i] :
% 5.55/5.82 ( ( mem @ V239e5 @ A_27a )
% 5.55/5.82 & ? [V240e6: $i] :
% 5.55/5.82 ( ( mem @ V240e6 @ A_27a )
% 5.55/5.82 & ? [V241e7: $i] :
% 5.55/5.82 ( ( mem @ V241e7 @ A_27a )
% 5.55/5.82 & ? [V242e8: $i] :
% 5.55/5.82 ( ( mem @ V242e8 @ A_27a )
% 5.55/5.82 & ? [V243e9: $i] :
% 5.55/5.82 ( ( mem @ V243e9 @ A_27a )
% 5.55/5.82 & ? [V244e10: $i] :
% 5.55/5.82 ( ( mem @ V244e10 @ A_27a )
% 5.55/5.82 & ? [V245e11: $i] :
% 5.55/5.82 ( ( mem @ V245e11 @ A_27a )
% 5.55/5.82 & ? [V246e12: $i] :
% 5.55/5.82 ( ( mem @ V246e12 @ A_27a )
% 5.55/5.82 & ? [V247e13: $i] :
% 5.55/5.82 ( ( mem @ V247e13 @ A_27a )
% 5.55/5.82 & ? [V248e14: $i] :
% 5.55/5.82 ( ( mem @ V248e14 @ A_27a )
% 5.55/5.82 & ? [V249e15: $i] :
% 5.55/5.82 ( ( mem @ V249e15 @ A_27a )
% 5.55/5.82 & ? [V250e16: $i] :
% 5.55/5.82 ( ( mem @ V250e16 @ A_27a )
% 5.55/5.82 & ? [V251e17: $i] :
% 5.55/5.82 ( ( mem @ V251e17 @ A_27a )
% 5.55/5.82 & ? [V252e18: $i] :
% 5.55/5.82 ( ( mem @ V252e18 @ A_27a )
% 5.55/5.82 & ? [V253e19: $i] :
% 5.55/5.82 ( ( mem @ V253e19 @ A_27a )
% 5.55/5.82 & ? [V254e20: $i] :
% 5.55/5.82 ( ( mem @ V254e20 @ A_27a )
% 5.55/5.82 & ? [V255e21: $i] :
% 5.55/5.82 ( ( mem @ V255e21 @ A_27a )
% 5.55/5.82 & ? [V256e22: $i] :
% 5.55/5.82 ( ( mem @ V256e22 @ A_27a )
% 5.55/5.82 & ? [V257e23: $i] :
% 5.55/5.82 ( ( mem @ V257e23 @ A_27a )
% 5.55/5.82 & ? [V258e24: $i] :
% 5.55/5.82 ( ( mem @ V258e24 @ A_27a )
% 5.55/5.82 & ? [V259e25: $i] :
% 5.55/5.82 ( ( mem @ V259e25 @ A_27a )
% 5.55/5.82 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V234l_27 ) ) )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V235e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V236e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V237e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V238e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V239e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V240e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V241e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V242e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V243e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V244e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V245e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V246e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V247e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V248e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V249e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V250e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V251e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V252e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V253e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V254e20 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V255e21 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V256e22 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V257e23 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V258e24 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V259e25 ) @ V234l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.82 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.82 <=> ? [V260l_27: $i] :
% 5.55/5.82 ( ( mem @ V260l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V261e1: $i] :
% 5.55/5.82 ( ( mem @ V261e1 @ A_27a )
% 5.55/5.82 & ? [V262e2: $i] :
% 5.55/5.82 ( ( mem @ V262e2 @ A_27a )
% 5.55/5.82 & ? [V263e3: $i] :
% 5.55/5.82 ( ( mem @ V263e3 @ A_27a )
% 5.55/5.82 & ? [V264e4: $i] :
% 5.55/5.82 ( ( mem @ V264e4 @ A_27a )
% 5.55/5.82 & ? [V265e5: $i] :
% 5.55/5.82 ( ( mem @ V265e5 @ A_27a )
% 5.55/5.82 & ? [V266e6: $i] :
% 5.55/5.82 ( ( mem @ V266e6 @ A_27a )
% 5.55/5.82 & ? [V267e7: $i] :
% 5.55/5.82 ( ( mem @ V267e7 @ A_27a )
% 5.55/5.82 & ? [V268e8: $i] :
% 5.55/5.82 ( ( mem @ V268e8 @ A_27a )
% 5.55/5.82 & ? [V269e9: $i] :
% 5.55/5.82 ( ( mem @ V269e9 @ A_27a )
% 5.55/5.82 & ? [V270e10: $i] :
% 5.55/5.82 ( ( mem @ V270e10 @ A_27a )
% 5.55/5.82 & ? [V271e11: $i] :
% 5.55/5.82 ( ( mem @ V271e11 @ A_27a )
% 5.55/5.82 & ? [V272e12: $i] :
% 5.55/5.82 ( ( mem @ V272e12 @ A_27a )
% 5.55/5.82 & ? [V273e13: $i] :
% 5.55/5.82 ( ( mem @ V273e13 @ A_27a )
% 5.55/5.82 & ? [V274e14: $i] :
% 5.55/5.82 ( ( mem @ V274e14 @ A_27a )
% 5.55/5.82 & ? [V275e15: $i] :
% 5.55/5.82 ( ( mem @ V275e15 @ A_27a )
% 5.55/5.82 & ? [V276e16: $i] :
% 5.55/5.82 ( ( mem @ V276e16 @ A_27a )
% 5.55/5.82 & ? [V277e17: $i] :
% 5.55/5.82 ( ( mem @ V277e17 @ A_27a )
% 5.55/5.82 & ? [V278e18: $i] :
% 5.55/5.82 ( ( mem @ V278e18 @ A_27a )
% 5.55/5.82 & ? [V279e19: $i] :
% 5.55/5.82 ( ( mem @ V279e19 @ A_27a )
% 5.55/5.82 & ? [V280e20: $i] :
% 5.55/5.82 ( ( mem @ V280e20 @ A_27a )
% 5.55/5.82 & ? [V281e21: $i] :
% 5.55/5.82 ( ( mem @ V281e21 @ A_27a )
% 5.55/5.82 & ? [V282e22: $i] :
% 5.55/5.82 ( ( mem @ V282e22 @ A_27a )
% 5.55/5.82 & ? [V283e23: $i] :
% 5.55/5.82 ( ( mem @ V283e23 @ A_27a )
% 5.55/5.82 & ? [V284e24: $i] :
% 5.55/5.82 ( ( mem @ V284e24 @ A_27a )
% 5.55/5.82 & ? [V285e25: $i] :
% 5.55/5.82 ( ( mem @ V285e25 @ A_27a )
% 5.55/5.82 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V260l_27 ) )
% 5.55/5.82 = V1x )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V261e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V262e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V263e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V264e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V265e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V266e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V267e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V268e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V269e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V270e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V271e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V272e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V273e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V274e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V275e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V276e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V277e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V278e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V279e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V280e20 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V281e21 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V282e22 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V283e23 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V284e24 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V285e25 ) @ V260l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.55/5.82 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V286l_27: $i] :
% 5.55/5.82 ( ( mem @ V286l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V287e1: $i] :
% 5.55/5.82 ( ( mem @ V287e1 @ A_27a )
% 5.55/5.82 & ? [V288e2: $i] :
% 5.55/5.82 ( ( mem @ V288e2 @ A_27a )
% 5.55/5.82 & ? [V289e3: $i] :
% 5.55/5.82 ( ( mem @ V289e3 @ A_27a )
% 5.55/5.82 & ? [V290e4: $i] :
% 5.55/5.82 ( ( mem @ V290e4 @ A_27a )
% 5.55/5.82 & ? [V291e5: $i] :
% 5.55/5.82 ( ( mem @ V291e5 @ A_27a )
% 5.55/5.82 & ? [V292e6: $i] :
% 5.55/5.82 ( ( mem @ V292e6 @ A_27a )
% 5.55/5.82 & ? [V293e7: $i] :
% 5.55/5.82 ( ( mem @ V293e7 @ A_27a )
% 5.55/5.82 & ? [V294e8: $i] :
% 5.55/5.82 ( ( mem @ V294e8 @ A_27a )
% 5.55/5.82 & ? [V295e9: $i] :
% 5.55/5.82 ( ( mem @ V295e9 @ A_27a )
% 5.55/5.82 & ? [V296e10: $i] :
% 5.55/5.82 ( ( mem @ V296e10 @ A_27a )
% 5.55/5.82 & ? [V297e11: $i] :
% 5.55/5.82 ( ( mem @ V297e11 @ A_27a )
% 5.55/5.82 & ? [V298e12: $i] :
% 5.55/5.82 ( ( mem @ V298e12 @ A_27a )
% 5.55/5.82 & ? [V299e13: $i] :
% 5.55/5.82 ( ( mem @ V299e13 @ A_27a )
% 5.55/5.82 & ? [V300e14: $i] :
% 5.55/5.82 ( ( mem @ V300e14 @ A_27a )
% 5.55/5.82 & ? [V301e15: $i] :
% 5.55/5.82 ( ( mem @ V301e15 @ A_27a )
% 5.55/5.82 & ? [V302e16: $i] :
% 5.55/5.82 ( ( mem @ V302e16 @ A_27a )
% 5.55/5.82 & ? [V303e17: $i] :
% 5.55/5.82 ( ( mem @ V303e17 @ A_27a )
% 5.55/5.82 & ? [V304e18: $i] :
% 5.55/5.82 ( ( mem @ V304e18 @ A_27a )
% 5.55/5.82 & ? [V305e19: $i] :
% 5.55/5.82 ( ( mem @ V305e19 @ A_27a )
% 5.55/5.82 & ? [V306e20: $i] :
% 5.55/5.82 ( ( mem @ V306e20 @ A_27a )
% 5.55/5.82 & ? [V307e21: $i] :
% 5.55/5.82 ( ( mem @ V307e21 @ A_27a )
% 5.55/5.82 & ? [V308e22: $i] :
% 5.55/5.82 ( ( mem @ V308e22 @ A_27a )
% 5.55/5.82 & ? [V309e23: $i] :
% 5.55/5.82 ( ( mem @ V309e23 @ A_27a )
% 5.55/5.82 & ? [V310e24: $i] :
% 5.55/5.82 ( ( mem @ V310e24 @ A_27a )
% 5.55/5.82 & ? [V311e25: $i] :
% 5.55/5.82 ( ( mem @ V311e25 @ A_27a )
% 5.55/5.82 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V286l_27 ) )
% 5.55/5.82 = V1x )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V287e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V288e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V289e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V290e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V291e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V292e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V293e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V294e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V295e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V296e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V297e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V298e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V299e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V300e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V301e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V302e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V303e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V304e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V305e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V306e20 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V307e21 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V308e22 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V309e23 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V310e24 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V311e25 ) @ V286l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.82 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) )
% 5.55/5.82 <=> ? [V312l_27: $i] :
% 5.55/5.82 ( ( mem @ V312l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V313e1: $i] :
% 5.55/5.82 ( ( mem @ V313e1 @ A_27a )
% 5.55/5.82 & ? [V314e2: $i] :
% 5.55/5.82 ( ( mem @ V314e2 @ A_27a )
% 5.55/5.82 & ? [V315e3: $i] :
% 5.55/5.82 ( ( mem @ V315e3 @ A_27a )
% 5.55/5.82 & ? [V316e4: $i] :
% 5.55/5.82 ( ( mem @ V316e4 @ A_27a )
% 5.55/5.82 & ? [V317e5: $i] :
% 5.55/5.82 ( ( mem @ V317e5 @ A_27a )
% 5.55/5.82 & ? [V318e6: $i] :
% 5.55/5.82 ( ( mem @ V318e6 @ A_27a )
% 5.55/5.82 & ? [V319e7: $i] :
% 5.55/5.82 ( ( mem @ V319e7 @ A_27a )
% 5.55/5.82 & ? [V320e8: $i] :
% 5.55/5.82 ( ( mem @ V320e8 @ A_27a )
% 5.55/5.82 & ? [V321e9: $i] :
% 5.55/5.82 ( ( mem @ V321e9 @ A_27a )
% 5.55/5.82 & ? [V322e10: $i] :
% 5.55/5.82 ( ( mem @ V322e10 @ A_27a )
% 5.55/5.82 & ? [V323e11: $i] :
% 5.55/5.82 ( ( mem @ V323e11 @ A_27a )
% 5.55/5.82 & ? [V324e12: $i] :
% 5.55/5.82 ( ( mem @ V324e12 @ A_27a )
% 5.55/5.82 & ? [V325e13: $i] :
% 5.55/5.82 ( ( mem @ V325e13 @ A_27a )
% 5.55/5.82 & ? [V326e14: $i] :
% 5.55/5.82 ( ( mem @ V326e14 @ A_27a )
% 5.55/5.82 & ? [V327e15: $i] :
% 5.55/5.82 ( ( mem @ V327e15 @ A_27a )
% 5.55/5.82 & ? [V328e16: $i] :
% 5.55/5.82 ( ( mem @ V328e16 @ A_27a )
% 5.55/5.82 & ? [V329e17: $i] :
% 5.55/5.82 ( ( mem @ V329e17 @ A_27a )
% 5.55/5.82 & ? [V330e18: $i] :
% 5.55/5.82 ( ( mem @ V330e18 @ A_27a )
% 5.55/5.82 & ? [V331e19: $i] :
% 5.55/5.82 ( ( mem @ V331e19 @ A_27a )
% 5.55/5.82 & ? [V332e20: $i] :
% 5.55/5.82 ( ( mem @ V332e20 @ A_27a )
% 5.55/5.82 & ? [V333e21: $i] :
% 5.55/5.82 ( ( mem @ V333e21 @ A_27a )
% 5.55/5.82 & ? [V334e22: $i] :
% 5.55/5.82 ( ( mem @ V334e22 @ A_27a )
% 5.55/5.82 & ? [V335e23: $i] :
% 5.55/5.82 ( ( mem @ V335e23 @ A_27a )
% 5.55/5.82 & ? [V336e24: $i] :
% 5.55/5.82 ( ( mem @ V336e24 @ A_27a )
% 5.55/5.82 & ? [V337e25: $i] :
% 5.55/5.82 ( ( mem @ V337e25 @ A_27a )
% 5.55/5.82 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V312l_27 ) )
% 5.55/5.82 = V1x )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V313e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V314e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V315e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V316e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V317e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V318e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V319e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V320e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V321e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V322e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V323e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V324e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V325e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V326e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V327e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V328e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V329e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V330e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V331e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V332e20 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V333e21 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V334e22 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V335e23 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V336e24 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V337e25 ) @ V312l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.82 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V338l_27: $i] :
% 5.55/5.82 ( ( mem @ V338l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V339e1: $i] :
% 5.55/5.82 ( ( mem @ V339e1 @ A_27a )
% 5.55/5.82 & ? [V340e2: $i] :
% 5.55/5.82 ( ( mem @ V340e2 @ A_27a )
% 5.55/5.82 & ? [V341e3: $i] :
% 5.55/5.82 ( ( mem @ V341e3 @ A_27a )
% 5.55/5.82 & ? [V342e4: $i] :
% 5.55/5.82 ( ( mem @ V342e4 @ A_27a )
% 5.55/5.82 & ? [V343e5: $i] :
% 5.55/5.82 ( ( mem @ V343e5 @ A_27a )
% 5.55/5.82 & ? [V344e6: $i] :
% 5.55/5.82 ( ( mem @ V344e6 @ A_27a )
% 5.55/5.82 & ? [V345e7: $i] :
% 5.55/5.82 ( ( mem @ V345e7 @ A_27a )
% 5.55/5.82 & ? [V346e8: $i] :
% 5.55/5.82 ( ( mem @ V346e8 @ A_27a )
% 5.55/5.82 & ? [V347e9: $i] :
% 5.55/5.82 ( ( mem @ V347e9 @ A_27a )
% 5.55/5.82 & ? [V348e10: $i] :
% 5.55/5.82 ( ( mem @ V348e10 @ A_27a )
% 5.55/5.82 & ? [V349e11: $i] :
% 5.55/5.82 ( ( mem @ V349e11 @ A_27a )
% 5.55/5.82 & ? [V350e12: $i] :
% 5.55/5.82 ( ( mem @ V350e12 @ A_27a )
% 5.55/5.82 & ? [V351e13: $i] :
% 5.55/5.82 ( ( mem @ V351e13 @ A_27a )
% 5.55/5.82 & ? [V352e14: $i] :
% 5.55/5.82 ( ( mem @ V352e14 @ A_27a )
% 5.55/5.82 & ? [V353e15: $i] :
% 5.55/5.82 ( ( mem @ V353e15 @ A_27a )
% 5.55/5.82 & ? [V354e16: $i] :
% 5.55/5.82 ( ( mem @ V354e16 @ A_27a )
% 5.55/5.82 & ? [V355e17: $i] :
% 5.55/5.82 ( ( mem @ V355e17 @ A_27a )
% 5.55/5.82 & ? [V356e18: $i] :
% 5.55/5.82 ( ( mem @ V356e18 @ A_27a )
% 5.55/5.82 & ? [V357e19: $i] :
% 5.55/5.82 ( ( mem @ V357e19 @ A_27a )
% 5.55/5.82 & ? [V358e20: $i] :
% 5.55/5.82 ( ( mem @ V358e20 @ A_27a )
% 5.55/5.82 & ? [V359e21: $i] :
% 5.55/5.82 ( ( mem @ V359e21 @ A_27a )
% 5.55/5.82 & ? [V360e22: $i] :
% 5.55/5.82 ( ( mem @ V360e22 @ A_27a )
% 5.55/5.82 & ? [V361e23: $i] :
% 5.55/5.82 ( ( mem @ V361e23 @ A_27a )
% 5.55/5.82 & ? [V362e24: $i] :
% 5.55/5.82 ( ( mem @ V362e24 @ A_27a )
% 5.55/5.82 & ? [V363e25: $i] :
% 5.55/5.82 ( ( mem @ V363e25 @ A_27a )
% 5.55/5.82 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V338l_27 ) )
% 5.55/5.82 = V1x )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V339e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V340e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V341e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V342e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V343e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V344e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V345e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V346e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V347e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V348e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V349e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V350e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V351e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V352e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V353e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V354e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V355e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V356e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V357e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V358e20 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V359e21 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V360e22 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V361e23 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V362e24 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V363e25 ) @ V338l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.82 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.82 <=> ? [V364e1: $i] :
% 5.55/5.82 ( ( mem @ V364e1 @ A_27a )
% 5.55/5.82 & ? [V365e2: $i] :
% 5.55/5.82 ( ( mem @ V365e2 @ A_27a )
% 5.55/5.82 & ? [V366e3: $i] :
% 5.55/5.82 ( ( mem @ V366e3 @ A_27a )
% 5.55/5.82 & ? [V367e4: $i] :
% 5.55/5.82 ( ( mem @ V367e4 @ A_27a )
% 5.55/5.82 & ? [V368e5: $i] :
% 5.55/5.82 ( ( mem @ V368e5 @ A_27a )
% 5.55/5.82 & ? [V369e6: $i] :
% 5.55/5.82 ( ( mem @ V369e6 @ A_27a )
% 5.55/5.82 & ? [V370e7: $i] :
% 5.55/5.82 ( ( mem @ V370e7 @ A_27a )
% 5.55/5.82 & ? [V371e8: $i] :
% 5.55/5.82 ( ( mem @ V371e8 @ A_27a )
% 5.55/5.82 & ? [V372e9: $i] :
% 5.55/5.82 ( ( mem @ V372e9 @ A_27a )
% 5.55/5.82 & ? [V373e10: $i] :
% 5.55/5.82 ( ( mem @ V373e10 @ A_27a )
% 5.55/5.82 & ? [V374e11: $i] :
% 5.55/5.82 ( ( mem @ V374e11 @ A_27a )
% 5.55/5.82 & ? [V375e12: $i] :
% 5.55/5.82 ( ( mem @ V375e12 @ A_27a )
% 5.55/5.82 & ? [V376e13: $i] :
% 5.55/5.82 ( ( mem @ V376e13 @ A_27a )
% 5.55/5.82 & ? [V377e14: $i] :
% 5.55/5.82 ( ( mem @ V377e14 @ A_27a )
% 5.55/5.82 & ? [V378e15: $i] :
% 5.55/5.82 ( ( mem @ V378e15 @ A_27a )
% 5.55/5.82 & ? [V379e16: $i] :
% 5.55/5.82 ( ( mem @ V379e16 @ A_27a )
% 5.55/5.82 & ? [V380e17: $i] :
% 5.55/5.82 ( ( mem @ V380e17 @ A_27a )
% 5.55/5.82 & ? [V381e18: $i] :
% 5.55/5.82 ( ( mem @ V381e18 @ A_27a )
% 5.55/5.82 & ? [V382e19: $i] :
% 5.55/5.82 ( ( mem @ V382e19 @ A_27a )
% 5.55/5.82 & ? [V383e20: $i] :
% 5.55/5.82 ( ( mem @ V383e20 @ A_27a )
% 5.55/5.82 & ? [V384e21: $i] :
% 5.55/5.82 ( ( mem @ V384e21 @ A_27a )
% 5.55/5.82 & ? [V385e22: $i] :
% 5.55/5.82 ( ( mem @ V385e22 @ A_27a )
% 5.55/5.82 & ? [V386e23: $i] :
% 5.55/5.82 ( ( mem @ V386e23 @ A_27a )
% 5.55/5.82 & ? [V387e24: $i] :
% 5.55/5.82 ( ( mem @ V387e24 @ A_27a )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V364e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V365e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V366e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V367e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V368e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V369e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V370e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V371e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V372e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V373e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V374e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V375e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V376e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V377e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V378e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V379e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V380e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V381e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V382e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V383e20 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V384e21 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V385e22 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V386e23 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V387e24 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.82 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V388e1: $i] :
% 5.55/5.82 ( ( mem @ V388e1 @ A_27a )
% 5.55/5.82 & ? [V389e2: $i] :
% 5.55/5.82 ( ( mem @ V389e2 @ A_27a )
% 5.55/5.82 & ? [V390e3: $i] :
% 5.55/5.82 ( ( mem @ V390e3 @ A_27a )
% 5.55/5.82 & ? [V391e4: $i] :
% 5.55/5.82 ( ( mem @ V391e4 @ A_27a )
% 5.55/5.82 & ? [V392e5: $i] :
% 5.55/5.82 ( ( mem @ V392e5 @ A_27a )
% 5.55/5.82 & ? [V393e6: $i] :
% 5.55/5.82 ( ( mem @ V393e6 @ A_27a )
% 5.55/5.82 & ? [V394e7: $i] :
% 5.55/5.82 ( ( mem @ V394e7 @ A_27a )
% 5.55/5.82 & ? [V395e8: $i] :
% 5.55/5.82 ( ( mem @ V395e8 @ A_27a )
% 5.55/5.82 & ? [V396e9: $i] :
% 5.55/5.82 ( ( mem @ V396e9 @ A_27a )
% 5.55/5.82 & ? [V397e10: $i] :
% 5.55/5.82 ( ( mem @ V397e10 @ A_27a )
% 5.55/5.82 & ? [V398e11: $i] :
% 5.55/5.82 ( ( mem @ V398e11 @ A_27a )
% 5.55/5.82 & ? [V399e12: $i] :
% 5.55/5.82 ( ( mem @ V399e12 @ A_27a )
% 5.55/5.82 & ? [V400e13: $i] :
% 5.55/5.82 ( ( mem @ V400e13 @ A_27a )
% 5.55/5.82 & ? [V401e14: $i] :
% 5.55/5.82 ( ( mem @ V401e14 @ A_27a )
% 5.55/5.82 & ? [V402e15: $i] :
% 5.55/5.82 ( ( mem @ V402e15 @ A_27a )
% 5.55/5.82 & ? [V403e16: $i] :
% 5.55/5.82 ( ( mem @ V403e16 @ A_27a )
% 5.55/5.82 & ? [V404e17: $i] :
% 5.55/5.82 ( ( mem @ V404e17 @ A_27a )
% 5.55/5.82 & ? [V405e18: $i] :
% 5.55/5.82 ( ( mem @ V405e18 @ A_27a )
% 5.55/5.82 & ? [V406e19: $i] :
% 5.55/5.82 ( ( mem @ V406e19 @ A_27a )
% 5.55/5.82 & ? [V407e20: $i] :
% 5.55/5.82 ( ( mem @ V407e20 @ A_27a )
% 5.55/5.82 & ? [V408e21: $i] :
% 5.55/5.82 ( ( mem @ V408e21 @ A_27a )
% 5.55/5.82 & ? [V409e22: $i] :
% 5.55/5.82 ( ( mem @ V409e22 @ A_27a )
% 5.55/5.82 & ? [V410e23: $i] :
% 5.55/5.82 ( ( mem @ V410e23 @ A_27a )
% 5.55/5.82 & ? [V411e24: $i] :
% 5.55/5.82 ( ( mem @ V411e24 @ A_27a )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V388e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V389e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V390e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V391e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V392e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V393e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V394e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V395e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V396e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V397e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V398e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V399e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V400e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V401e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V402e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V403e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V404e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V405e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V406e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V407e20 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V408e21 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V409e22 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V410e23 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V411e24 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V412l_27: $i] :
% 5.55/5.82 ( ( mem @ V412l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V413e1: $i] :
% 5.55/5.82 ( ( mem @ V413e1 @ A_27a )
% 5.55/5.82 & ? [V414e2: $i] :
% 5.55/5.82 ( ( mem @ V414e2 @ A_27a )
% 5.55/5.82 & ? [V415e3: $i] :
% 5.55/5.82 ( ( mem @ V415e3 @ A_27a )
% 5.55/5.82 & ? [V416e4: $i] :
% 5.55/5.82 ( ( mem @ V416e4 @ A_27a )
% 5.55/5.82 & ? [V417e5: $i] :
% 5.55/5.82 ( ( mem @ V417e5 @ A_27a )
% 5.55/5.82 & ? [V418e6: $i] :
% 5.55/5.82 ( ( mem @ V418e6 @ A_27a )
% 5.55/5.82 & ? [V419e7: $i] :
% 5.55/5.82 ( ( mem @ V419e7 @ A_27a )
% 5.55/5.82 & ? [V420e8: $i] :
% 5.55/5.82 ( ( mem @ V420e8 @ A_27a )
% 5.55/5.82 & ? [V421e9: $i] :
% 5.55/5.82 ( ( mem @ V421e9 @ A_27a )
% 5.55/5.82 & ? [V422e10: $i] :
% 5.55/5.82 ( ( mem @ V422e10 @ A_27a )
% 5.55/5.82 & ? [V423e11: $i] :
% 5.55/5.82 ( ( mem @ V423e11 @ A_27a )
% 5.55/5.82 & ? [V424e12: $i] :
% 5.55/5.82 ( ( mem @ V424e12 @ A_27a )
% 5.55/5.82 & ? [V425e13: $i] :
% 5.55/5.82 ( ( mem @ V425e13 @ A_27a )
% 5.55/5.82 & ? [V426e14: $i] :
% 5.55/5.82 ( ( mem @ V426e14 @ A_27a )
% 5.55/5.82 & ? [V427e15: $i] :
% 5.55/5.82 ( ( mem @ V427e15 @ A_27a )
% 5.55/5.82 & ? [V428e16: $i] :
% 5.55/5.82 ( ( mem @ V428e16 @ A_27a )
% 5.55/5.82 & ? [V429e17: $i] :
% 5.55/5.82 ( ( mem @ V429e17 @ A_27a )
% 5.55/5.82 & ? [V430e18: $i] :
% 5.55/5.82 ( ( mem @ V430e18 @ A_27a )
% 5.55/5.82 & ? [V431e19: $i] :
% 5.55/5.82 ( ( mem @ V431e19 @ A_27a )
% 5.55/5.82 & ? [V432e20: $i] :
% 5.55/5.82 ( ( mem @ V432e20 @ A_27a )
% 5.55/5.82 & ? [V433e21: $i] :
% 5.55/5.82 ( ( mem @ V433e21 @ A_27a )
% 5.55/5.82 & ? [V434e22: $i] :
% 5.55/5.82 ( ( mem @ V434e22 @ A_27a )
% 5.55/5.82 & ? [V435e23: $i] :
% 5.55/5.82 ( ( mem @ V435e23 @ A_27a )
% 5.55/5.82 & ? [V436e24: $i] :
% 5.55/5.82 ( ( mem @ V436e24 @ A_27a )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V413e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V414e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V415e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V416e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V417e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V418e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V419e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V420e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V421e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V422e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V423e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V424e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V425e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V426e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V427e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V428e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V429e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V430e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V431e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V432e20 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V433e21 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V434e22 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V435e23 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V436e24 ) @ V412l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.82 <=> ? [V437l_27: $i] :
% 5.55/5.82 ( ( mem @ V437l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V438e1: $i] :
% 5.55/5.82 ( ( mem @ V438e1 @ A_27a )
% 5.55/5.82 & ? [V439e2: $i] :
% 5.55/5.82 ( ( mem @ V439e2 @ A_27a )
% 5.55/5.82 & ? [V440e3: $i] :
% 5.55/5.82 ( ( mem @ V440e3 @ A_27a )
% 5.55/5.82 & ? [V441e4: $i] :
% 5.55/5.82 ( ( mem @ V441e4 @ A_27a )
% 5.55/5.82 & ? [V442e5: $i] :
% 5.55/5.82 ( ( mem @ V442e5 @ A_27a )
% 5.55/5.82 & ? [V443e6: $i] :
% 5.55/5.82 ( ( mem @ V443e6 @ A_27a )
% 5.55/5.82 & ? [V444e7: $i] :
% 5.55/5.82 ( ( mem @ V444e7 @ A_27a )
% 5.55/5.82 & ? [V445e8: $i] :
% 5.55/5.82 ( ( mem @ V445e8 @ A_27a )
% 5.55/5.82 & ? [V446e9: $i] :
% 5.55/5.82 ( ( mem @ V446e9 @ A_27a )
% 5.55/5.82 & ? [V447e10: $i] :
% 5.55/5.82 ( ( mem @ V447e10 @ A_27a )
% 5.55/5.82 & ? [V448e11: $i] :
% 5.55/5.82 ( ( mem @ V448e11 @ A_27a )
% 5.55/5.82 & ? [V449e12: $i] :
% 5.55/5.82 ( ( mem @ V449e12 @ A_27a )
% 5.55/5.82 & ? [V450e13: $i] :
% 5.55/5.82 ( ( mem @ V450e13 @ A_27a )
% 5.55/5.82 & ? [V451e14: $i] :
% 5.55/5.82 ( ( mem @ V451e14 @ A_27a )
% 5.55/5.82 & ? [V452e15: $i] :
% 5.55/5.82 ( ( mem @ V452e15 @ A_27a )
% 5.55/5.82 & ? [V453e16: $i] :
% 5.55/5.82 ( ( mem @ V453e16 @ A_27a )
% 5.55/5.82 & ? [V454e17: $i] :
% 5.55/5.82 ( ( mem @ V454e17 @ A_27a )
% 5.55/5.82 & ? [V455e18: $i] :
% 5.55/5.82 ( ( mem @ V455e18 @ A_27a )
% 5.55/5.82 & ? [V456e19: $i] :
% 5.55/5.82 ( ( mem @ V456e19 @ A_27a )
% 5.55/5.82 & ? [V457e20: $i] :
% 5.55/5.82 ( ( mem @ V457e20 @ A_27a )
% 5.55/5.82 & ? [V458e21: $i] :
% 5.55/5.82 ( ( mem @ V458e21 @ A_27a )
% 5.55/5.82 & ? [V459e22: $i] :
% 5.55/5.82 ( ( mem @ V459e22 @ A_27a )
% 5.55/5.82 & ? [V460e23: $i] :
% 5.55/5.82 ( ( mem @ V460e23 @ A_27a )
% 5.55/5.82 & ? [V461e24: $i] :
% 5.55/5.82 ( ( mem @ V461e24 @ A_27a )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V438e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V439e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V440e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V441e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V442e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V443e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V444e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V445e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V446e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V447e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V448e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V449e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V450e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V451e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V452e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V453e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V454e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V455e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V456e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V457e20 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V458e21 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V459e22 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V460e23 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V461e24 ) @ V437l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V462l_27: $i] :
% 5.55/5.82 ( ( mem @ V462l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V463e1: $i] :
% 5.55/5.82 ( ( mem @ V463e1 @ A_27a )
% 5.55/5.82 & ? [V464e2: $i] :
% 5.55/5.82 ( ( mem @ V464e2 @ A_27a )
% 5.55/5.82 & ? [V465e3: $i] :
% 5.55/5.82 ( ( mem @ V465e3 @ A_27a )
% 5.55/5.82 & ? [V466e4: $i] :
% 5.55/5.82 ( ( mem @ V466e4 @ A_27a )
% 5.55/5.82 & ? [V467e5: $i] :
% 5.55/5.82 ( ( mem @ V467e5 @ A_27a )
% 5.55/5.82 & ? [V468e6: $i] :
% 5.55/5.82 ( ( mem @ V468e6 @ A_27a )
% 5.55/5.82 & ? [V469e7: $i] :
% 5.55/5.82 ( ( mem @ V469e7 @ A_27a )
% 5.55/5.82 & ? [V470e8: $i] :
% 5.55/5.82 ( ( mem @ V470e8 @ A_27a )
% 5.55/5.82 & ? [V471e9: $i] :
% 5.55/5.82 ( ( mem @ V471e9 @ A_27a )
% 5.55/5.82 & ? [V472e10: $i] :
% 5.55/5.82 ( ( mem @ V472e10 @ A_27a )
% 5.55/5.82 & ? [V473e11: $i] :
% 5.55/5.82 ( ( mem @ V473e11 @ A_27a )
% 5.55/5.82 & ? [V474e12: $i] :
% 5.55/5.82 ( ( mem @ V474e12 @ A_27a )
% 5.55/5.82 & ? [V475e13: $i] :
% 5.55/5.82 ( ( mem @ V475e13 @ A_27a )
% 5.55/5.82 & ? [V476e14: $i] :
% 5.55/5.82 ( ( mem @ V476e14 @ A_27a )
% 5.55/5.82 & ? [V477e15: $i] :
% 5.55/5.82 ( ( mem @ V477e15 @ A_27a )
% 5.55/5.82 & ? [V478e16: $i] :
% 5.55/5.82 ( ( mem @ V478e16 @ A_27a )
% 5.55/5.82 & ? [V479e17: $i] :
% 5.55/5.82 ( ( mem @ V479e17 @ A_27a )
% 5.55/5.82 & ? [V480e18: $i] :
% 5.55/5.82 ( ( mem @ V480e18 @ A_27a )
% 5.55/5.82 & ? [V481e19: $i] :
% 5.55/5.82 ( ( mem @ V481e19 @ A_27a )
% 5.55/5.82 & ? [V482e20: $i] :
% 5.55/5.82 ( ( mem @ V482e20 @ A_27a )
% 5.55/5.82 & ? [V483e21: $i] :
% 5.55/5.82 ( ( mem @ V483e21 @ A_27a )
% 5.55/5.82 & ? [V484e22: $i] :
% 5.55/5.82 ( ( mem @ V484e22 @ A_27a )
% 5.55/5.82 & ? [V485e23: $i] :
% 5.55/5.82 ( ( mem @ V485e23 @ A_27a )
% 5.55/5.82 & ? [V486e24: $i] :
% 5.55/5.82 ( ( mem @ V486e24 @ A_27a )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V463e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V464e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V465e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V466e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V467e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V468e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V469e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V470e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V471e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V472e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V473e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V474e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V475e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V476e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V477e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V478e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V479e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V480e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V481e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V482e20 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V483e21 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V484e22 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V485e23 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V486e24 ) @ V462l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.82 <=> ? [V487l_27: $i] :
% 5.55/5.82 ( ( mem @ V487l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V488e1: $i] :
% 5.55/5.82 ( ( mem @ V488e1 @ A_27a )
% 5.55/5.82 & ? [V489e2: $i] :
% 5.55/5.82 ( ( mem @ V489e2 @ A_27a )
% 5.55/5.82 & ? [V490e3: $i] :
% 5.55/5.82 ( ( mem @ V490e3 @ A_27a )
% 5.55/5.82 & ? [V491e4: $i] :
% 5.55/5.82 ( ( mem @ V491e4 @ A_27a )
% 5.55/5.82 & ? [V492e5: $i] :
% 5.55/5.82 ( ( mem @ V492e5 @ A_27a )
% 5.55/5.82 & ? [V493e6: $i] :
% 5.55/5.82 ( ( mem @ V493e6 @ A_27a )
% 5.55/5.82 & ? [V494e7: $i] :
% 5.55/5.82 ( ( mem @ V494e7 @ A_27a )
% 5.55/5.82 & ? [V495e8: $i] :
% 5.55/5.82 ( ( mem @ V495e8 @ A_27a )
% 5.55/5.82 & ? [V496e9: $i] :
% 5.55/5.82 ( ( mem @ V496e9 @ A_27a )
% 5.55/5.82 & ? [V497e10: $i] :
% 5.55/5.82 ( ( mem @ V497e10 @ A_27a )
% 5.55/5.82 & ? [V498e11: $i] :
% 5.55/5.82 ( ( mem @ V498e11 @ A_27a )
% 5.55/5.82 & ? [V499e12: $i] :
% 5.55/5.82 ( ( mem @ V499e12 @ A_27a )
% 5.55/5.82 & ? [V500e13: $i] :
% 5.55/5.82 ( ( mem @ V500e13 @ A_27a )
% 5.55/5.82 & ? [V501e14: $i] :
% 5.55/5.82 ( ( mem @ V501e14 @ A_27a )
% 5.55/5.82 & ? [V502e15: $i] :
% 5.55/5.82 ( ( mem @ V502e15 @ A_27a )
% 5.55/5.82 & ? [V503e16: $i] :
% 5.55/5.82 ( ( mem @ V503e16 @ A_27a )
% 5.55/5.82 & ? [V504e17: $i] :
% 5.55/5.82 ( ( mem @ V504e17 @ A_27a )
% 5.55/5.82 & ? [V505e18: $i] :
% 5.55/5.82 ( ( mem @ V505e18 @ A_27a )
% 5.55/5.82 & ? [V506e19: $i] :
% 5.55/5.82 ( ( mem @ V506e19 @ A_27a )
% 5.55/5.82 & ? [V507e20: $i] :
% 5.55/5.82 ( ( mem @ V507e20 @ A_27a )
% 5.55/5.82 & ? [V508e21: $i] :
% 5.55/5.82 ( ( mem @ V508e21 @ A_27a )
% 5.55/5.82 & ? [V509e22: $i] :
% 5.55/5.82 ( ( mem @ V509e22 @ A_27a )
% 5.55/5.82 & ? [V510e23: $i] :
% 5.55/5.82 ( ( mem @ V510e23 @ A_27a )
% 5.55/5.82 & ? [V511e24: $i] :
% 5.55/5.82 ( ( mem @ V511e24 @ A_27a )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V488e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V489e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V490e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V491e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V492e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V493e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V494e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V495e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V496e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V497e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V498e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V499e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V500e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V501e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V502e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V503e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V504e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V505e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V506e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V507e20 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V508e21 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V509e22 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V510e23 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V511e24 ) @ V487l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V512l_27: $i] :
% 5.55/5.82 ( ( mem @ V512l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V513e1: $i] :
% 5.55/5.82 ( ( mem @ V513e1 @ A_27a )
% 5.55/5.82 & ? [V514e2: $i] :
% 5.55/5.82 ( ( mem @ V514e2 @ A_27a )
% 5.55/5.82 & ? [V515e3: $i] :
% 5.55/5.82 ( ( mem @ V515e3 @ A_27a )
% 5.55/5.82 & ? [V516e4: $i] :
% 5.55/5.82 ( ( mem @ V516e4 @ A_27a )
% 5.55/5.82 & ? [V517e5: $i] :
% 5.55/5.82 ( ( mem @ V517e5 @ A_27a )
% 5.55/5.82 & ? [V518e6: $i] :
% 5.55/5.82 ( ( mem @ V518e6 @ A_27a )
% 5.55/5.82 & ? [V519e7: $i] :
% 5.55/5.82 ( ( mem @ V519e7 @ A_27a )
% 5.55/5.82 & ? [V520e8: $i] :
% 5.55/5.82 ( ( mem @ V520e8 @ A_27a )
% 5.55/5.82 & ? [V521e9: $i] :
% 5.55/5.82 ( ( mem @ V521e9 @ A_27a )
% 5.55/5.82 & ? [V522e10: $i] :
% 5.55/5.82 ( ( mem @ V522e10 @ A_27a )
% 5.55/5.82 & ? [V523e11: $i] :
% 5.55/5.82 ( ( mem @ V523e11 @ A_27a )
% 5.55/5.82 & ? [V524e12: $i] :
% 5.55/5.82 ( ( mem @ V524e12 @ A_27a )
% 5.55/5.82 & ? [V525e13: $i] :
% 5.55/5.82 ( ( mem @ V525e13 @ A_27a )
% 5.55/5.82 & ? [V526e14: $i] :
% 5.55/5.82 ( ( mem @ V526e14 @ A_27a )
% 5.55/5.82 & ? [V527e15: $i] :
% 5.55/5.82 ( ( mem @ V527e15 @ A_27a )
% 5.55/5.82 & ? [V528e16: $i] :
% 5.55/5.82 ( ( mem @ V528e16 @ A_27a )
% 5.55/5.82 & ? [V529e17: $i] :
% 5.55/5.82 ( ( mem @ V529e17 @ A_27a )
% 5.55/5.82 & ? [V530e18: $i] :
% 5.55/5.82 ( ( mem @ V530e18 @ A_27a )
% 5.55/5.82 & ? [V531e19: $i] :
% 5.55/5.82 ( ( mem @ V531e19 @ A_27a )
% 5.55/5.82 & ? [V532e20: $i] :
% 5.55/5.82 ( ( mem @ V532e20 @ A_27a )
% 5.55/5.82 & ? [V533e21: $i] :
% 5.55/5.82 ( ( mem @ V533e21 @ A_27a )
% 5.55/5.82 & ? [V534e22: $i] :
% 5.55/5.82 ( ( mem @ V534e22 @ A_27a )
% 5.55/5.82 & ? [V535e23: $i] :
% 5.55/5.82 ( ( mem @ V535e23 @ A_27a )
% 5.55/5.82 & ? [V536e24: $i] :
% 5.55/5.82 ( ( mem @ V536e24 @ A_27a )
% 5.55/5.82 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V512l_27 ) ) )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V513e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V514e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V515e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V516e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V517e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V518e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V519e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V520e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V521e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V522e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V523e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V524e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V525e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V526e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V527e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V528e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V529e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V530e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V531e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V532e20 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V533e21 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V534e22 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V535e23 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V536e24 ) @ V512l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.82 <=> ? [V537l_27: $i] :
% 5.55/5.82 ( ( mem @ V537l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V538e1: $i] :
% 5.55/5.82 ( ( mem @ V538e1 @ A_27a )
% 5.55/5.82 & ? [V539e2: $i] :
% 5.55/5.82 ( ( mem @ V539e2 @ A_27a )
% 5.55/5.82 & ? [V540e3: $i] :
% 5.55/5.82 ( ( mem @ V540e3 @ A_27a )
% 5.55/5.82 & ? [V541e4: $i] :
% 5.55/5.82 ( ( mem @ V541e4 @ A_27a )
% 5.55/5.82 & ? [V542e5: $i] :
% 5.55/5.82 ( ( mem @ V542e5 @ A_27a )
% 5.55/5.82 & ? [V543e6: $i] :
% 5.55/5.82 ( ( mem @ V543e6 @ A_27a )
% 5.55/5.82 & ? [V544e7: $i] :
% 5.55/5.82 ( ( mem @ V544e7 @ A_27a )
% 5.55/5.82 & ? [V545e8: $i] :
% 5.55/5.82 ( ( mem @ V545e8 @ A_27a )
% 5.55/5.82 & ? [V546e9: $i] :
% 5.55/5.82 ( ( mem @ V546e9 @ A_27a )
% 5.55/5.82 & ? [V547e10: $i] :
% 5.55/5.82 ( ( mem @ V547e10 @ A_27a )
% 5.55/5.82 & ? [V548e11: $i] :
% 5.55/5.82 ( ( mem @ V548e11 @ A_27a )
% 5.55/5.82 & ? [V549e12: $i] :
% 5.55/5.82 ( ( mem @ V549e12 @ A_27a )
% 5.55/5.82 & ? [V550e13: $i] :
% 5.55/5.82 ( ( mem @ V550e13 @ A_27a )
% 5.55/5.82 & ? [V551e14: $i] :
% 5.55/5.82 ( ( mem @ V551e14 @ A_27a )
% 5.55/5.82 & ? [V552e15: $i] :
% 5.55/5.82 ( ( mem @ V552e15 @ A_27a )
% 5.55/5.82 & ? [V553e16: $i] :
% 5.55/5.82 ( ( mem @ V553e16 @ A_27a )
% 5.55/5.82 & ? [V554e17: $i] :
% 5.55/5.82 ( ( mem @ V554e17 @ A_27a )
% 5.55/5.82 & ? [V555e18: $i] :
% 5.55/5.82 ( ( mem @ V555e18 @ A_27a )
% 5.55/5.82 & ? [V556e19: $i] :
% 5.55/5.82 ( ( mem @ V556e19 @ A_27a )
% 5.55/5.82 & ? [V557e20: $i] :
% 5.55/5.82 ( ( mem @ V557e20 @ A_27a )
% 5.55/5.82 & ? [V558e21: $i] :
% 5.55/5.82 ( ( mem @ V558e21 @ A_27a )
% 5.55/5.82 & ? [V559e22: $i] :
% 5.55/5.82 ( ( mem @ V559e22 @ A_27a )
% 5.55/5.82 & ? [V560e23: $i] :
% 5.55/5.82 ( ( mem @ V560e23 @ A_27a )
% 5.55/5.82 & ? [V561e24: $i] :
% 5.55/5.82 ( ( mem @ V561e24 @ A_27a )
% 5.55/5.82 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V537l_27 ) ) )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V538e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V539e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V540e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V541e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V542e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V543e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V544e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V545e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V546e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V547e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V548e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V549e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V550e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V551e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V552e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V553e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V554e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V555e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V556e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V557e20 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V558e21 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V559e22 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V560e23 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V561e24 ) @ V537l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V562l_27: $i] :
% 5.55/5.82 ( ( mem @ V562l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V563e1: $i] :
% 5.55/5.82 ( ( mem @ V563e1 @ A_27a )
% 5.55/5.82 & ? [V564e2: $i] :
% 5.55/5.82 ( ( mem @ V564e2 @ A_27a )
% 5.55/5.82 & ? [V565e3: $i] :
% 5.55/5.82 ( ( mem @ V565e3 @ A_27a )
% 5.55/5.82 & ? [V566e4: $i] :
% 5.55/5.82 ( ( mem @ V566e4 @ A_27a )
% 5.55/5.82 & ? [V567e5: $i] :
% 5.55/5.82 ( ( mem @ V567e5 @ A_27a )
% 5.55/5.82 & ? [V568e6: $i] :
% 5.55/5.82 ( ( mem @ V568e6 @ A_27a )
% 5.55/5.82 & ? [V569e7: $i] :
% 5.55/5.82 ( ( mem @ V569e7 @ A_27a )
% 5.55/5.82 & ? [V570e8: $i] :
% 5.55/5.82 ( ( mem @ V570e8 @ A_27a )
% 5.55/5.82 & ? [V571e9: $i] :
% 5.55/5.82 ( ( mem @ V571e9 @ A_27a )
% 5.55/5.82 & ? [V572e10: $i] :
% 5.55/5.82 ( ( mem @ V572e10 @ A_27a )
% 5.55/5.82 & ? [V573e11: $i] :
% 5.55/5.82 ( ( mem @ V573e11 @ A_27a )
% 5.55/5.82 & ? [V574e12: $i] :
% 5.55/5.82 ( ( mem @ V574e12 @ A_27a )
% 5.55/5.82 & ? [V575e13: $i] :
% 5.55/5.82 ( ( mem @ V575e13 @ A_27a )
% 5.55/5.82 & ? [V576e14: $i] :
% 5.55/5.82 ( ( mem @ V576e14 @ A_27a )
% 5.55/5.82 & ? [V577e15: $i] :
% 5.55/5.82 ( ( mem @ V577e15 @ A_27a )
% 5.55/5.82 & ? [V578e16: $i] :
% 5.55/5.82 ( ( mem @ V578e16 @ A_27a )
% 5.55/5.82 & ? [V579e17: $i] :
% 5.55/5.82 ( ( mem @ V579e17 @ A_27a )
% 5.55/5.82 & ? [V580e18: $i] :
% 5.55/5.82 ( ( mem @ V580e18 @ A_27a )
% 5.55/5.82 & ? [V581e19: $i] :
% 5.55/5.82 ( ( mem @ V581e19 @ A_27a )
% 5.55/5.82 & ? [V582e20: $i] :
% 5.55/5.82 ( ( mem @ V582e20 @ A_27a )
% 5.55/5.82 & ? [V583e21: $i] :
% 5.55/5.82 ( ( mem @ V583e21 @ A_27a )
% 5.55/5.82 & ? [V584e22: $i] :
% 5.55/5.82 ( ( mem @ V584e22 @ A_27a )
% 5.55/5.82 & ? [V585e23: $i] :
% 5.55/5.82 ( ( mem @ V585e23 @ A_27a )
% 5.55/5.82 & ? [V586e24: $i] :
% 5.55/5.82 ( ( mem @ V586e24 @ A_27a )
% 5.55/5.82 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V562l_27 ) ) )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V563e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V564e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V565e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V566e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V567e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V568e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V569e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V570e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V571e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V572e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V573e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V574e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V575e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V576e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V577e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V578e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V579e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V580e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V581e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V582e20 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V583e21 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V584e22 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V585e23 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V586e24 ) @ V562l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) )
% 5.55/5.82 <=> ? [V587l_27: $i] :
% 5.55/5.82 ( ( mem @ V587l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V588e1: $i] :
% 5.55/5.82 ( ( mem @ V588e1 @ A_27a )
% 5.55/5.82 & ? [V589e2: $i] :
% 5.55/5.82 ( ( mem @ V589e2 @ A_27a )
% 5.55/5.82 & ? [V590e3: $i] :
% 5.55/5.82 ( ( mem @ V590e3 @ A_27a )
% 5.55/5.82 & ? [V591e4: $i] :
% 5.55/5.82 ( ( mem @ V591e4 @ A_27a )
% 5.55/5.82 & ? [V592e5: $i] :
% 5.55/5.82 ( ( mem @ V592e5 @ A_27a )
% 5.55/5.82 & ? [V593e6: $i] :
% 5.55/5.82 ( ( mem @ V593e6 @ A_27a )
% 5.55/5.82 & ? [V594e7: $i] :
% 5.55/5.82 ( ( mem @ V594e7 @ A_27a )
% 5.55/5.82 & ? [V595e8: $i] :
% 5.55/5.82 ( ( mem @ V595e8 @ A_27a )
% 5.55/5.82 & ? [V596e9: $i] :
% 5.55/5.82 ( ( mem @ V596e9 @ A_27a )
% 5.55/5.82 & ? [V597e10: $i] :
% 5.55/5.82 ( ( mem @ V597e10 @ A_27a )
% 5.55/5.82 & ? [V598e11: $i] :
% 5.55/5.82 ( ( mem @ V598e11 @ A_27a )
% 5.55/5.82 & ? [V599e12: $i] :
% 5.55/5.82 ( ( mem @ V599e12 @ A_27a )
% 5.55/5.82 & ? [V600e13: $i] :
% 5.55/5.82 ( ( mem @ V600e13 @ A_27a )
% 5.55/5.82 & ? [V601e14: $i] :
% 5.55/5.82 ( ( mem @ V601e14 @ A_27a )
% 5.55/5.82 & ? [V602e15: $i] :
% 5.55/5.82 ( ( mem @ V602e15 @ A_27a )
% 5.55/5.82 & ? [V603e16: $i] :
% 5.55/5.82 ( ( mem @ V603e16 @ A_27a )
% 5.55/5.82 & ? [V604e17: $i] :
% 5.55/5.82 ( ( mem @ V604e17 @ A_27a )
% 5.55/5.82 & ? [V605e18: $i] :
% 5.55/5.82 ( ( mem @ V605e18 @ A_27a )
% 5.55/5.82 & ? [V606e19: $i] :
% 5.55/5.82 ( ( mem @ V606e19 @ A_27a )
% 5.55/5.82 & ? [V607e20: $i] :
% 5.55/5.82 ( ( mem @ V607e20 @ A_27a )
% 5.55/5.82 & ? [V608e21: $i] :
% 5.55/5.82 ( ( mem @ V608e21 @ A_27a )
% 5.55/5.82 & ? [V609e22: $i] :
% 5.55/5.82 ( ( mem @ V609e22 @ A_27a )
% 5.55/5.82 & ? [V610e23: $i] :
% 5.55/5.82 ( ( mem @ V610e23 @ A_27a )
% 5.55/5.82 & ? [V611e24: $i] :
% 5.55/5.82 ( ( mem @ V611e24 @ A_27a )
% 5.55/5.82 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V587l_27 ) ) )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V588e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V589e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V590e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V591e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V592e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V593e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V594e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V595e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V596e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V597e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V598e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V599e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V600e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V601e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V602e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V603e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V604e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V605e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V606e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V607e20 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V608e21 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V609e22 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V610e23 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V611e24 ) @ V587l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.82 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.82 <=> ? [V612l_27: $i] :
% 5.55/5.82 ( ( mem @ V612l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V613e1: $i] :
% 5.55/5.82 ( ( mem @ V613e1 @ A_27a )
% 5.55/5.82 & ? [V614e2: $i] :
% 5.55/5.82 ( ( mem @ V614e2 @ A_27a )
% 5.55/5.82 & ? [V615e3: $i] :
% 5.55/5.82 ( ( mem @ V615e3 @ A_27a )
% 5.55/5.82 & ? [V616e4: $i] :
% 5.55/5.82 ( ( mem @ V616e4 @ A_27a )
% 5.55/5.82 & ? [V617e5: $i] :
% 5.55/5.82 ( ( mem @ V617e5 @ A_27a )
% 5.55/5.82 & ? [V618e6: $i] :
% 5.55/5.82 ( ( mem @ V618e6 @ A_27a )
% 5.55/5.82 & ? [V619e7: $i] :
% 5.55/5.82 ( ( mem @ V619e7 @ A_27a )
% 5.55/5.82 & ? [V620e8: $i] :
% 5.55/5.82 ( ( mem @ V620e8 @ A_27a )
% 5.55/5.82 & ? [V621e9: $i] :
% 5.55/5.82 ( ( mem @ V621e9 @ A_27a )
% 5.55/5.82 & ? [V622e10: $i] :
% 5.55/5.82 ( ( mem @ V622e10 @ A_27a )
% 5.55/5.82 & ? [V623e11: $i] :
% 5.55/5.82 ( ( mem @ V623e11 @ A_27a )
% 5.55/5.82 & ? [V624e12: $i] :
% 5.55/5.82 ( ( mem @ V624e12 @ A_27a )
% 5.55/5.82 & ? [V625e13: $i] :
% 5.55/5.82 ( ( mem @ V625e13 @ A_27a )
% 5.55/5.82 & ? [V626e14: $i] :
% 5.55/5.82 ( ( mem @ V626e14 @ A_27a )
% 5.55/5.82 & ? [V627e15: $i] :
% 5.55/5.82 ( ( mem @ V627e15 @ A_27a )
% 5.55/5.82 & ? [V628e16: $i] :
% 5.55/5.82 ( ( mem @ V628e16 @ A_27a )
% 5.55/5.82 & ? [V629e17: $i] :
% 5.55/5.82 ( ( mem @ V629e17 @ A_27a )
% 5.55/5.82 & ? [V630e18: $i] :
% 5.55/5.82 ( ( mem @ V630e18 @ A_27a )
% 5.55/5.82 & ? [V631e19: $i] :
% 5.55/5.82 ( ( mem @ V631e19 @ A_27a )
% 5.55/5.82 & ? [V632e20: $i] :
% 5.55/5.82 ( ( mem @ V632e20 @ A_27a )
% 5.55/5.82 & ? [V633e21: $i] :
% 5.55/5.82 ( ( mem @ V633e21 @ A_27a )
% 5.55/5.82 & ? [V634e22: $i] :
% 5.55/5.82 ( ( mem @ V634e22 @ A_27a )
% 5.55/5.82 & ? [V635e23: $i] :
% 5.55/5.82 ( ( mem @ V635e23 @ A_27a )
% 5.55/5.82 & ? [V636e24: $i] :
% 5.55/5.82 ( ( mem @ V636e24 @ A_27a )
% 5.55/5.82 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V612l_27 ) )
% 5.55/5.82 = V1x )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V613e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V614e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V615e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V616e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V617e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V618e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V619e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V620e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V621e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V622e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V623e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V624e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V625e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V626e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V627e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V628e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V629e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V630e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V631e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V632e20 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V633e21 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V634e22 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V635e23 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V636e24 ) @ V612l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.55/5.82 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.82 <=> ? [V637l_27: $i] :
% 5.55/5.82 ( ( mem @ V637l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V638e1: $i] :
% 5.55/5.82 ( ( mem @ V638e1 @ A_27a )
% 5.55/5.82 & ? [V639e2: $i] :
% 5.55/5.82 ( ( mem @ V639e2 @ A_27a )
% 5.55/5.82 & ? [V640e3: $i] :
% 5.55/5.82 ( ( mem @ V640e3 @ A_27a )
% 5.55/5.82 & ? [V641e4: $i] :
% 5.55/5.82 ( ( mem @ V641e4 @ A_27a )
% 5.55/5.82 & ? [V642e5: $i] :
% 5.55/5.82 ( ( mem @ V642e5 @ A_27a )
% 5.55/5.82 & ? [V643e6: $i] :
% 5.55/5.82 ( ( mem @ V643e6 @ A_27a )
% 5.55/5.82 & ? [V644e7: $i] :
% 5.55/5.82 ( ( mem @ V644e7 @ A_27a )
% 5.55/5.82 & ? [V645e8: $i] :
% 5.55/5.82 ( ( mem @ V645e8 @ A_27a )
% 5.55/5.82 & ? [V646e9: $i] :
% 5.55/5.82 ( ( mem @ V646e9 @ A_27a )
% 5.55/5.82 & ? [V647e10: $i] :
% 5.55/5.82 ( ( mem @ V647e10 @ A_27a )
% 5.55/5.82 & ? [V648e11: $i] :
% 5.55/5.82 ( ( mem @ V648e11 @ A_27a )
% 5.55/5.82 & ? [V649e12: $i] :
% 5.55/5.82 ( ( mem @ V649e12 @ A_27a )
% 5.55/5.82 & ? [V650e13: $i] :
% 5.55/5.82 ( ( mem @ V650e13 @ A_27a )
% 5.55/5.82 & ? [V651e14: $i] :
% 5.55/5.82 ( ( mem @ V651e14 @ A_27a )
% 5.55/5.82 & ? [V652e15: $i] :
% 5.55/5.82 ( ( mem @ V652e15 @ A_27a )
% 5.55/5.82 & ? [V653e16: $i] :
% 5.55/5.82 ( ( mem @ V653e16 @ A_27a )
% 5.55/5.82 & ? [V654e17: $i] :
% 5.55/5.82 ( ( mem @ V654e17 @ A_27a )
% 5.55/5.82 & ? [V655e18: $i] :
% 5.55/5.82 ( ( mem @ V655e18 @ A_27a )
% 5.55/5.82 & ? [V656e19: $i] :
% 5.55/5.82 ( ( mem @ V656e19 @ A_27a )
% 5.55/5.82 & ? [V657e20: $i] :
% 5.55/5.82 ( ( mem @ V657e20 @ A_27a )
% 5.55/5.82 & ? [V658e21: $i] :
% 5.55/5.82 ( ( mem @ V658e21 @ A_27a )
% 5.55/5.82 & ? [V659e22: $i] :
% 5.55/5.82 ( ( mem @ V659e22 @ A_27a )
% 5.55/5.82 & ? [V660e23: $i] :
% 5.55/5.82 ( ( mem @ V660e23 @ A_27a )
% 5.55/5.82 & ? [V661e24: $i] :
% 5.55/5.82 ( ( mem @ V661e24 @ A_27a )
% 5.55/5.82 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V637l_27 ) )
% 5.55/5.82 = V1x )
% 5.55/5.82 & ( V0l
% 5.55/5.82 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V638e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V639e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V640e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V641e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V642e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V643e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V644e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V645e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V646e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V647e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V648e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V649e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V650e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V651e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V652e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V653e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V654e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V655e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V656e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V657e20 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V658e21 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V659e22 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V660e23 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V661e24 ) @ V637l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.82 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.82 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) )
% 5.55/5.82 <=> ? [V662l_27: $i] :
% 5.55/5.82 ( ( mem @ V662l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.82 & ? [V663e1: $i] :
% 5.55/5.82 ( ( mem @ V663e1 @ A_27a )
% 5.55/5.82 & ? [V664e2: $i] :
% 5.55/5.82 ( ( mem @ V664e2 @ A_27a )
% 5.55/5.82 & ? [V665e3: $i] :
% 5.55/5.82 ( ( mem @ V665e3 @ A_27a )
% 5.55/5.82 & ? [V666e4: $i] :
% 5.55/5.82 ( ( mem @ V666e4 @ A_27a )
% 5.55/5.82 & ? [V667e5: $i] :
% 5.55/5.82 ( ( mem @ V667e5 @ A_27a )
% 5.55/5.82 & ? [V668e6: $i] :
% 5.55/5.82 ( ( mem @ V668e6 @ A_27a )
% 5.55/5.82 & ? [V669e7: $i] :
% 5.55/5.82 ( ( mem @ V669e7 @ A_27a )
% 5.55/5.82 & ? [V670e8: $i] :
% 5.55/5.82 ( ( mem @ V670e8 @ A_27a )
% 5.55/5.83 & ? [V671e9: $i] :
% 5.55/5.83 ( ( mem @ V671e9 @ A_27a )
% 5.55/5.83 & ? [V672e10: $i] :
% 5.55/5.83 ( ( mem @ V672e10 @ A_27a )
% 5.55/5.83 & ? [V673e11: $i] :
% 5.55/5.83 ( ( mem @ V673e11 @ A_27a )
% 5.55/5.83 & ? [V674e12: $i] :
% 5.55/5.83 ( ( mem @ V674e12 @ A_27a )
% 5.55/5.83 & ? [V675e13: $i] :
% 5.55/5.83 ( ( mem @ V675e13 @ A_27a )
% 5.55/5.83 & ? [V676e14: $i] :
% 5.55/5.83 ( ( mem @ V676e14 @ A_27a )
% 5.55/5.83 & ? [V677e15: $i] :
% 5.55/5.83 ( ( mem @ V677e15 @ A_27a )
% 5.55/5.83 & ? [V678e16: $i] :
% 5.55/5.83 ( ( mem @ V678e16 @ A_27a )
% 5.55/5.83 & ? [V679e17: $i] :
% 5.55/5.83 ( ( mem @ V679e17 @ A_27a )
% 5.55/5.83 & ? [V680e18: $i] :
% 5.55/5.83 ( ( mem @ V680e18 @ A_27a )
% 5.55/5.83 & ? [V681e19: $i] :
% 5.55/5.83 ( ( mem @ V681e19 @ A_27a )
% 5.55/5.83 & ? [V682e20: $i] :
% 5.55/5.83 ( ( mem @ V682e20 @ A_27a )
% 5.55/5.83 & ? [V683e21: $i] :
% 5.55/5.83 ( ( mem @ V683e21 @ A_27a )
% 5.55/5.83 & ? [V684e22: $i] :
% 5.55/5.83 ( ( mem @ V684e22 @ A_27a )
% 5.55/5.83 & ? [V685e23: $i] :
% 5.55/5.83 ( ( mem @ V685e23 @ A_27a )
% 5.55/5.83 & ? [V686e24: $i] :
% 5.55/5.83 ( ( mem @ V686e24 @ A_27a )
% 5.55/5.83 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V662l_27 ) )
% 5.55/5.83 = V1x )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V663e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V664e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V665e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V666e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V667e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V668e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V669e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V670e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V671e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V672e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V673e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V674e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V675e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V676e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V677e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V678e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V679e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V680e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V681e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V682e20 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V683e21 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V684e22 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V685e23 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V686e24 ) @ V662l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.83 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.83 <=> ? [V687l_27: $i] :
% 5.55/5.83 ( ( mem @ V687l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.83 & ? [V688e1: $i] :
% 5.55/5.83 ( ( mem @ V688e1 @ A_27a )
% 5.55/5.83 & ? [V689e2: $i] :
% 5.55/5.83 ( ( mem @ V689e2 @ A_27a )
% 5.55/5.83 & ? [V690e3: $i] :
% 5.55/5.83 ( ( mem @ V690e3 @ A_27a )
% 5.55/5.83 & ? [V691e4: $i] :
% 5.55/5.83 ( ( mem @ V691e4 @ A_27a )
% 5.55/5.83 & ? [V692e5: $i] :
% 5.55/5.83 ( ( mem @ V692e5 @ A_27a )
% 5.55/5.83 & ? [V693e6: $i] :
% 5.55/5.83 ( ( mem @ V693e6 @ A_27a )
% 5.55/5.83 & ? [V694e7: $i] :
% 5.55/5.83 ( ( mem @ V694e7 @ A_27a )
% 5.55/5.83 & ? [V695e8: $i] :
% 5.55/5.83 ( ( mem @ V695e8 @ A_27a )
% 5.55/5.83 & ? [V696e9: $i] :
% 5.55/5.83 ( ( mem @ V696e9 @ A_27a )
% 5.55/5.83 & ? [V697e10: $i] :
% 5.55/5.83 ( ( mem @ V697e10 @ A_27a )
% 5.55/5.83 & ? [V698e11: $i] :
% 5.55/5.83 ( ( mem @ V698e11 @ A_27a )
% 5.55/5.83 & ? [V699e12: $i] :
% 5.55/5.83 ( ( mem @ V699e12 @ A_27a )
% 5.55/5.83 & ? [V700e13: $i] :
% 5.55/5.83 ( ( mem @ V700e13 @ A_27a )
% 5.55/5.83 & ? [V701e14: $i] :
% 5.55/5.83 ( ( mem @ V701e14 @ A_27a )
% 5.55/5.83 & ? [V702e15: $i] :
% 5.55/5.83 ( ( mem @ V702e15 @ A_27a )
% 5.55/5.83 & ? [V703e16: $i] :
% 5.55/5.83 ( ( mem @ V703e16 @ A_27a )
% 5.55/5.83 & ? [V704e17: $i] :
% 5.55/5.83 ( ( mem @ V704e17 @ A_27a )
% 5.55/5.83 & ? [V705e18: $i] :
% 5.55/5.83 ( ( mem @ V705e18 @ A_27a )
% 5.55/5.83 & ? [V706e19: $i] :
% 5.55/5.83 ( ( mem @ V706e19 @ A_27a )
% 5.55/5.83 & ? [V707e20: $i] :
% 5.55/5.83 ( ( mem @ V707e20 @ A_27a )
% 5.55/5.83 & ? [V708e21: $i] :
% 5.55/5.83 ( ( mem @ V708e21 @ A_27a )
% 5.55/5.83 & ? [V709e22: $i] :
% 5.55/5.83 ( ( mem @ V709e22 @ A_27a )
% 5.55/5.83 & ? [V710e23: $i] :
% 5.55/5.83 ( ( mem @ V710e23 @ A_27a )
% 5.55/5.83 & ? [V711e24: $i] :
% 5.55/5.83 ( ( mem @ V711e24 @ A_27a )
% 5.55/5.83 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V687l_27 ) )
% 5.55/5.83 = V1x )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V688e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V689e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V690e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V691e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V692e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V693e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V694e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V695e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V696e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V697e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V698e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V699e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V700e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V701e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V702e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V703e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V704e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V705e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V706e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V707e20 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V708e21 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V709e22 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V710e23 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V711e24 ) @ V687l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.83 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.83 <=> ? [V712e1: $i] :
% 5.55/5.83 ( ( mem @ V712e1 @ A_27a )
% 5.55/5.83 & ? [V713e2: $i] :
% 5.55/5.83 ( ( mem @ V713e2 @ A_27a )
% 5.55/5.83 & ? [V714e3: $i] :
% 5.55/5.83 ( ( mem @ V714e3 @ A_27a )
% 5.55/5.83 & ? [V715e4: $i] :
% 5.55/5.83 ( ( mem @ V715e4 @ A_27a )
% 5.55/5.83 & ? [V716e5: $i] :
% 5.55/5.83 ( ( mem @ V716e5 @ A_27a )
% 5.55/5.83 & ? [V717e6: $i] :
% 5.55/5.83 ( ( mem @ V717e6 @ A_27a )
% 5.55/5.83 & ? [V718e7: $i] :
% 5.55/5.83 ( ( mem @ V718e7 @ A_27a )
% 5.55/5.83 & ? [V719e8: $i] :
% 5.55/5.83 ( ( mem @ V719e8 @ A_27a )
% 5.55/5.83 & ? [V720e9: $i] :
% 5.55/5.83 ( ( mem @ V720e9 @ A_27a )
% 5.55/5.83 & ? [V721e10: $i] :
% 5.55/5.83 ( ( mem @ V721e10 @ A_27a )
% 5.55/5.83 & ? [V722e11: $i] :
% 5.55/5.83 ( ( mem @ V722e11 @ A_27a )
% 5.55/5.83 & ? [V723e12: $i] :
% 5.55/5.83 ( ( mem @ V723e12 @ A_27a )
% 5.55/5.83 & ? [V724e13: $i] :
% 5.55/5.83 ( ( mem @ V724e13 @ A_27a )
% 5.55/5.83 & ? [V725e14: $i] :
% 5.55/5.83 ( ( mem @ V725e14 @ A_27a )
% 5.55/5.83 & ? [V726e15: $i] :
% 5.55/5.83 ( ( mem @ V726e15 @ A_27a )
% 5.55/5.83 & ? [V727e16: $i] :
% 5.55/5.83 ( ( mem @ V727e16 @ A_27a )
% 5.55/5.83 & ? [V728e17: $i] :
% 5.55/5.83 ( ( mem @ V728e17 @ A_27a )
% 5.55/5.83 & ? [V729e18: $i] :
% 5.55/5.83 ( ( mem @ V729e18 @ A_27a )
% 5.55/5.83 & ? [V730e19: $i] :
% 5.55/5.83 ( ( mem @ V730e19 @ A_27a )
% 5.55/5.83 & ? [V731e20: $i] :
% 5.55/5.83 ( ( mem @ V731e20 @ A_27a )
% 5.55/5.83 & ? [V732e21: $i] :
% 5.55/5.83 ( ( mem @ V732e21 @ A_27a )
% 5.55/5.83 & ? [V733e22: $i] :
% 5.55/5.83 ( ( mem @ V733e22 @ A_27a )
% 5.55/5.83 & ? [V734e23: $i] :
% 5.55/5.83 ( ( mem @ V734e23 @ A_27a )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V712e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V713e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V714e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V715e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V716e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V717e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V718e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V719e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V720e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V721e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V722e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V723e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V724e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V725e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V726e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V727e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V728e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V729e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V730e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V731e20 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V732e21 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V733e22 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V734e23 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.83 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.83 <=> ? [V735e1: $i] :
% 5.55/5.83 ( ( mem @ V735e1 @ A_27a )
% 5.55/5.83 & ? [V736e2: $i] :
% 5.55/5.83 ( ( mem @ V736e2 @ A_27a )
% 5.55/5.83 & ? [V737e3: $i] :
% 5.55/5.83 ( ( mem @ V737e3 @ A_27a )
% 5.55/5.83 & ? [V738e4: $i] :
% 5.55/5.83 ( ( mem @ V738e4 @ A_27a )
% 5.55/5.83 & ? [V739e5: $i] :
% 5.55/5.83 ( ( mem @ V739e5 @ A_27a )
% 5.55/5.83 & ? [V740e6: $i] :
% 5.55/5.83 ( ( mem @ V740e6 @ A_27a )
% 5.55/5.83 & ? [V741e7: $i] :
% 5.55/5.83 ( ( mem @ V741e7 @ A_27a )
% 5.55/5.83 & ? [V742e8: $i] :
% 5.55/5.83 ( ( mem @ V742e8 @ A_27a )
% 5.55/5.83 & ? [V743e9: $i] :
% 5.55/5.83 ( ( mem @ V743e9 @ A_27a )
% 5.55/5.83 & ? [V744e10: $i] :
% 5.55/5.83 ( ( mem @ V744e10 @ A_27a )
% 5.55/5.83 & ? [V745e11: $i] :
% 5.55/5.83 ( ( mem @ V745e11 @ A_27a )
% 5.55/5.83 & ? [V746e12: $i] :
% 5.55/5.83 ( ( mem @ V746e12 @ A_27a )
% 5.55/5.83 & ? [V747e13: $i] :
% 5.55/5.83 ( ( mem @ V747e13 @ A_27a )
% 5.55/5.83 & ? [V748e14: $i] :
% 5.55/5.83 ( ( mem @ V748e14 @ A_27a )
% 5.55/5.83 & ? [V749e15: $i] :
% 5.55/5.83 ( ( mem @ V749e15 @ A_27a )
% 5.55/5.83 & ? [V750e16: $i] :
% 5.55/5.83 ( ( mem @ V750e16 @ A_27a )
% 5.55/5.83 & ? [V751e17: $i] :
% 5.55/5.83 ( ( mem @ V751e17 @ A_27a )
% 5.55/5.83 & ? [V752e18: $i] :
% 5.55/5.83 ( ( mem @ V752e18 @ A_27a )
% 5.55/5.83 & ? [V753e19: $i] :
% 5.55/5.83 ( ( mem @ V753e19 @ A_27a )
% 5.55/5.83 & ? [V754e20: $i] :
% 5.55/5.83 ( ( mem @ V754e20 @ A_27a )
% 5.55/5.83 & ? [V755e21: $i] :
% 5.55/5.83 ( ( mem @ V755e21 @ A_27a )
% 5.55/5.83 & ? [V756e22: $i] :
% 5.55/5.83 ( ( mem @ V756e22 @ A_27a )
% 5.55/5.83 & ? [V757e23: $i] :
% 5.55/5.83 ( ( mem @ V757e23 @ A_27a )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V735e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V736e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V737e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V738e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V739e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V740e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V741e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V742e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V743e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V744e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V745e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V746e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V747e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V748e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V749e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V750e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V751e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V752e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V753e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V754e20 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V755e21 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V756e22 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V757e23 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.83 <=> ? [V758l_27: $i] :
% 5.55/5.83 ( ( mem @ V758l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.83 & ? [V759e1: $i] :
% 5.55/5.83 ( ( mem @ V759e1 @ A_27a )
% 5.55/5.83 & ? [V760e2: $i] :
% 5.55/5.83 ( ( mem @ V760e2 @ A_27a )
% 5.55/5.83 & ? [V761e3: $i] :
% 5.55/5.83 ( ( mem @ V761e3 @ A_27a )
% 5.55/5.83 & ? [V762e4: $i] :
% 5.55/5.83 ( ( mem @ V762e4 @ A_27a )
% 5.55/5.83 & ? [V763e5: $i] :
% 5.55/5.83 ( ( mem @ V763e5 @ A_27a )
% 5.55/5.83 & ? [V764e6: $i] :
% 5.55/5.83 ( ( mem @ V764e6 @ A_27a )
% 5.55/5.83 & ? [V765e7: $i] :
% 5.55/5.83 ( ( mem @ V765e7 @ A_27a )
% 5.55/5.83 & ? [V766e8: $i] :
% 5.55/5.83 ( ( mem @ V766e8 @ A_27a )
% 5.55/5.83 & ? [V767e9: $i] :
% 5.55/5.83 ( ( mem @ V767e9 @ A_27a )
% 5.55/5.83 & ? [V768e10: $i] :
% 5.55/5.83 ( ( mem @ V768e10 @ A_27a )
% 5.55/5.83 & ? [V769e11: $i] :
% 5.55/5.83 ( ( mem @ V769e11 @ A_27a )
% 5.55/5.83 & ? [V770e12: $i] :
% 5.55/5.83 ( ( mem @ V770e12 @ A_27a )
% 5.55/5.83 & ? [V771e13: $i] :
% 5.55/5.83 ( ( mem @ V771e13 @ A_27a )
% 5.55/5.83 & ? [V772e14: $i] :
% 5.55/5.83 ( ( mem @ V772e14 @ A_27a )
% 5.55/5.83 & ? [V773e15: $i] :
% 5.55/5.83 ( ( mem @ V773e15 @ A_27a )
% 5.55/5.83 & ? [V774e16: $i] :
% 5.55/5.83 ( ( mem @ V774e16 @ A_27a )
% 5.55/5.83 & ? [V775e17: $i] :
% 5.55/5.83 ( ( mem @ V775e17 @ A_27a )
% 5.55/5.83 & ? [V776e18: $i] :
% 5.55/5.83 ( ( mem @ V776e18 @ A_27a )
% 5.55/5.83 & ? [V777e19: $i] :
% 5.55/5.83 ( ( mem @ V777e19 @ A_27a )
% 5.55/5.83 & ? [V778e20: $i] :
% 5.55/5.83 ( ( mem @ V778e20 @ A_27a )
% 5.55/5.83 & ? [V779e21: $i] :
% 5.55/5.83 ( ( mem @ V779e21 @ A_27a )
% 5.55/5.83 & ? [V780e22: $i] :
% 5.55/5.83 ( ( mem @ V780e22 @ A_27a )
% 5.55/5.83 & ? [V781e23: $i] :
% 5.55/5.83 ( ( mem @ V781e23 @ A_27a )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V759e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V760e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V761e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V762e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V763e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V764e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V765e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V766e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V767e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V768e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V769e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V770e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V771e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V772e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V773e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V774e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V775e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V776e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V777e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V778e20 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V779e21 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V780e22 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V781e23 ) @ V758l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.83 <=> ? [V782l_27: $i] :
% 5.55/5.83 ( ( mem @ V782l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.83 & ? [V783e1: $i] :
% 5.55/5.83 ( ( mem @ V783e1 @ A_27a )
% 5.55/5.83 & ? [V784e2: $i] :
% 5.55/5.83 ( ( mem @ V784e2 @ A_27a )
% 5.55/5.83 & ? [V785e3: $i] :
% 5.55/5.83 ( ( mem @ V785e3 @ A_27a )
% 5.55/5.83 & ? [V786e4: $i] :
% 5.55/5.83 ( ( mem @ V786e4 @ A_27a )
% 5.55/5.83 & ? [V787e5: $i] :
% 5.55/5.83 ( ( mem @ V787e5 @ A_27a )
% 5.55/5.83 & ? [V788e6: $i] :
% 5.55/5.83 ( ( mem @ V788e6 @ A_27a )
% 5.55/5.83 & ? [V789e7: $i] :
% 5.55/5.83 ( ( mem @ V789e7 @ A_27a )
% 5.55/5.83 & ? [V790e8: $i] :
% 5.55/5.83 ( ( mem @ V790e8 @ A_27a )
% 5.55/5.83 & ? [V791e9: $i] :
% 5.55/5.83 ( ( mem @ V791e9 @ A_27a )
% 5.55/5.83 & ? [V792e10: $i] :
% 5.55/5.83 ( ( mem @ V792e10 @ A_27a )
% 5.55/5.83 & ? [V793e11: $i] :
% 5.55/5.83 ( ( mem @ V793e11 @ A_27a )
% 5.55/5.83 & ? [V794e12: $i] :
% 5.55/5.83 ( ( mem @ V794e12 @ A_27a )
% 5.55/5.83 & ? [V795e13: $i] :
% 5.55/5.83 ( ( mem @ V795e13 @ A_27a )
% 5.55/5.83 & ? [V796e14: $i] :
% 5.55/5.83 ( ( mem @ V796e14 @ A_27a )
% 5.55/5.83 & ? [V797e15: $i] :
% 5.55/5.83 ( ( mem @ V797e15 @ A_27a )
% 5.55/5.83 & ? [V798e16: $i] :
% 5.55/5.83 ( ( mem @ V798e16 @ A_27a )
% 5.55/5.83 & ? [V799e17: $i] :
% 5.55/5.83 ( ( mem @ V799e17 @ A_27a )
% 5.55/5.83 & ? [V800e18: $i] :
% 5.55/5.83 ( ( mem @ V800e18 @ A_27a )
% 5.55/5.83 & ? [V801e19: $i] :
% 5.55/5.83 ( ( mem @ V801e19 @ A_27a )
% 5.55/5.83 & ? [V802e20: $i] :
% 5.55/5.83 ( ( mem @ V802e20 @ A_27a )
% 5.55/5.83 & ? [V803e21: $i] :
% 5.55/5.83 ( ( mem @ V803e21 @ A_27a )
% 5.55/5.83 & ? [V804e22: $i] :
% 5.55/5.83 ( ( mem @ V804e22 @ A_27a )
% 5.55/5.83 & ? [V805e23: $i] :
% 5.55/5.83 ( ( mem @ V805e23 @ A_27a )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V783e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V784e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V785e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V786e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V787e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V788e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V789e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V790e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V791e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V792e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V793e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V794e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V795e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V796e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V797e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V798e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V799e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V800e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V801e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V802e20 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V803e21 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V804e22 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V805e23 ) @ V782l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.83 <=> ? [V806l_27: $i] :
% 5.55/5.83 ( ( mem @ V806l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.83 & ? [V807e1: $i] :
% 5.55/5.83 ( ( mem @ V807e1 @ A_27a )
% 5.55/5.83 & ? [V808e2: $i] :
% 5.55/5.83 ( ( mem @ V808e2 @ A_27a )
% 5.55/5.83 & ? [V809e3: $i] :
% 5.55/5.83 ( ( mem @ V809e3 @ A_27a )
% 5.55/5.83 & ? [V810e4: $i] :
% 5.55/5.83 ( ( mem @ V810e4 @ A_27a )
% 5.55/5.83 & ? [V811e5: $i] :
% 5.55/5.83 ( ( mem @ V811e5 @ A_27a )
% 5.55/5.83 & ? [V812e6: $i] :
% 5.55/5.83 ( ( mem @ V812e6 @ A_27a )
% 5.55/5.83 & ? [V813e7: $i] :
% 5.55/5.83 ( ( mem @ V813e7 @ A_27a )
% 5.55/5.83 & ? [V814e8: $i] :
% 5.55/5.83 ( ( mem @ V814e8 @ A_27a )
% 5.55/5.83 & ? [V815e9: $i] :
% 5.55/5.83 ( ( mem @ V815e9 @ A_27a )
% 5.55/5.83 & ? [V816e10: $i] :
% 5.55/5.83 ( ( mem @ V816e10 @ A_27a )
% 5.55/5.83 & ? [V817e11: $i] :
% 5.55/5.83 ( ( mem @ V817e11 @ A_27a )
% 5.55/5.83 & ? [V818e12: $i] :
% 5.55/5.83 ( ( mem @ V818e12 @ A_27a )
% 5.55/5.83 & ? [V819e13: $i] :
% 5.55/5.83 ( ( mem @ V819e13 @ A_27a )
% 5.55/5.83 & ? [V820e14: $i] :
% 5.55/5.83 ( ( mem @ V820e14 @ A_27a )
% 5.55/5.83 & ? [V821e15: $i] :
% 5.55/5.83 ( ( mem @ V821e15 @ A_27a )
% 5.55/5.83 & ? [V822e16: $i] :
% 5.55/5.83 ( ( mem @ V822e16 @ A_27a )
% 5.55/5.83 & ? [V823e17: $i] :
% 5.55/5.83 ( ( mem @ V823e17 @ A_27a )
% 5.55/5.83 & ? [V824e18: $i] :
% 5.55/5.83 ( ( mem @ V824e18 @ A_27a )
% 5.55/5.83 & ? [V825e19: $i] :
% 5.55/5.83 ( ( mem @ V825e19 @ A_27a )
% 5.55/5.83 & ? [V826e20: $i] :
% 5.55/5.83 ( ( mem @ V826e20 @ A_27a )
% 5.55/5.83 & ? [V827e21: $i] :
% 5.55/5.83 ( ( mem @ V827e21 @ A_27a )
% 5.55/5.83 & ? [V828e22: $i] :
% 5.55/5.83 ( ( mem @ V828e22 @ A_27a )
% 5.55/5.83 & ? [V829e23: $i] :
% 5.55/5.83 ( ( mem @ V829e23 @ A_27a )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V807e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V808e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V809e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V810e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V811e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V812e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V813e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V814e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V815e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V816e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V817e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V818e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V819e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V820e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V821e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V822e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V823e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V824e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V825e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V826e20 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V827e21 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V828e22 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V829e23 ) @ V806l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.83 <=> ? [V830l_27: $i] :
% 5.55/5.83 ( ( mem @ V830l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.83 & ? [V831e1: $i] :
% 5.55/5.83 ( ( mem @ V831e1 @ A_27a )
% 5.55/5.83 & ? [V832e2: $i] :
% 5.55/5.83 ( ( mem @ V832e2 @ A_27a )
% 5.55/5.83 & ? [V833e3: $i] :
% 5.55/5.83 ( ( mem @ V833e3 @ A_27a )
% 5.55/5.83 & ? [V834e4: $i] :
% 5.55/5.83 ( ( mem @ V834e4 @ A_27a )
% 5.55/5.83 & ? [V835e5: $i] :
% 5.55/5.83 ( ( mem @ V835e5 @ A_27a )
% 5.55/5.83 & ? [V836e6: $i] :
% 5.55/5.83 ( ( mem @ V836e6 @ A_27a )
% 5.55/5.83 & ? [V837e7: $i] :
% 5.55/5.83 ( ( mem @ V837e7 @ A_27a )
% 5.55/5.83 & ? [V838e8: $i] :
% 5.55/5.83 ( ( mem @ V838e8 @ A_27a )
% 5.55/5.83 & ? [V839e9: $i] :
% 5.55/5.83 ( ( mem @ V839e9 @ A_27a )
% 5.55/5.83 & ? [V840e10: $i] :
% 5.55/5.83 ( ( mem @ V840e10 @ A_27a )
% 5.55/5.83 & ? [V841e11: $i] :
% 5.55/5.83 ( ( mem @ V841e11 @ A_27a )
% 5.55/5.83 & ? [V842e12: $i] :
% 5.55/5.83 ( ( mem @ V842e12 @ A_27a )
% 5.55/5.83 & ? [V843e13: $i] :
% 5.55/5.83 ( ( mem @ V843e13 @ A_27a )
% 5.55/5.83 & ? [V844e14: $i] :
% 5.55/5.83 ( ( mem @ V844e14 @ A_27a )
% 5.55/5.83 & ? [V845e15: $i] :
% 5.55/5.83 ( ( mem @ V845e15 @ A_27a )
% 5.55/5.83 & ? [V846e16: $i] :
% 5.55/5.83 ( ( mem @ V846e16 @ A_27a )
% 5.55/5.83 & ? [V847e17: $i] :
% 5.55/5.83 ( ( mem @ V847e17 @ A_27a )
% 5.55/5.83 & ? [V848e18: $i] :
% 5.55/5.83 ( ( mem @ V848e18 @ A_27a )
% 5.55/5.83 & ? [V849e19: $i] :
% 5.55/5.83 ( ( mem @ V849e19 @ A_27a )
% 5.55/5.83 & ? [V850e20: $i] :
% 5.55/5.83 ( ( mem @ V850e20 @ A_27a )
% 5.55/5.83 & ? [V851e21: $i] :
% 5.55/5.83 ( ( mem @ V851e21 @ A_27a )
% 5.55/5.83 & ? [V852e22: $i] :
% 5.55/5.83 ( ( mem @ V852e22 @ A_27a )
% 5.55/5.83 & ? [V853e23: $i] :
% 5.55/5.83 ( ( mem @ V853e23 @ A_27a )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V831e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V832e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V833e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V834e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V835e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V836e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V837e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V838e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V839e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V840e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V841e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V842e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V843e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V844e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V845e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V846e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V847e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V848e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V849e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V850e20 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V851e21 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V852e22 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V853e23 ) @ V830l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.83 <=> ? [V854l_27: $i] :
% 5.55/5.83 ( ( mem @ V854l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.83 & ? [V855e1: $i] :
% 5.55/5.83 ( ( mem @ V855e1 @ A_27a )
% 5.55/5.83 & ? [V856e2: $i] :
% 5.55/5.83 ( ( mem @ V856e2 @ A_27a )
% 5.55/5.83 & ? [V857e3: $i] :
% 5.55/5.83 ( ( mem @ V857e3 @ A_27a )
% 5.55/5.83 & ? [V858e4: $i] :
% 5.55/5.83 ( ( mem @ V858e4 @ A_27a )
% 5.55/5.83 & ? [V859e5: $i] :
% 5.55/5.83 ( ( mem @ V859e5 @ A_27a )
% 5.55/5.83 & ? [V860e6: $i] :
% 5.55/5.83 ( ( mem @ V860e6 @ A_27a )
% 5.55/5.83 & ? [V861e7: $i] :
% 5.55/5.83 ( ( mem @ V861e7 @ A_27a )
% 5.55/5.83 & ? [V862e8: $i] :
% 5.55/5.83 ( ( mem @ V862e8 @ A_27a )
% 5.55/5.83 & ? [V863e9: $i] :
% 5.55/5.83 ( ( mem @ V863e9 @ A_27a )
% 5.55/5.83 & ? [V864e10: $i] :
% 5.55/5.83 ( ( mem @ V864e10 @ A_27a )
% 5.55/5.83 & ? [V865e11: $i] :
% 5.55/5.83 ( ( mem @ V865e11 @ A_27a )
% 5.55/5.83 & ? [V866e12: $i] :
% 5.55/5.83 ( ( mem @ V866e12 @ A_27a )
% 5.55/5.83 & ? [V867e13: $i] :
% 5.55/5.83 ( ( mem @ V867e13 @ A_27a )
% 5.55/5.83 & ? [V868e14: $i] :
% 5.55/5.83 ( ( mem @ V868e14 @ A_27a )
% 5.55/5.83 & ? [V869e15: $i] :
% 5.55/5.83 ( ( mem @ V869e15 @ A_27a )
% 5.55/5.83 & ? [V870e16: $i] :
% 5.55/5.83 ( ( mem @ V870e16 @ A_27a )
% 5.55/5.83 & ? [V871e17: $i] :
% 5.55/5.83 ( ( mem @ V871e17 @ A_27a )
% 5.55/5.83 & ? [V872e18: $i] :
% 5.55/5.83 ( ( mem @ V872e18 @ A_27a )
% 5.55/5.83 & ? [V873e19: $i] :
% 5.55/5.83 ( ( mem @ V873e19 @ A_27a )
% 5.55/5.83 & ? [V874e20: $i] :
% 5.55/5.83 ( ( mem @ V874e20 @ A_27a )
% 5.55/5.83 & ? [V875e21: $i] :
% 5.55/5.83 ( ( mem @ V875e21 @ A_27a )
% 5.55/5.83 & ? [V876e22: $i] :
% 5.55/5.83 ( ( mem @ V876e22 @ A_27a )
% 5.55/5.83 & ? [V877e23: $i] :
% 5.55/5.83 ( ( mem @ V877e23 @ A_27a )
% 5.55/5.83 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V854l_27 ) ) )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V855e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V856e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V857e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V858e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V859e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V860e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V861e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V862e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V863e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V864e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V865e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V866e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V867e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V868e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V869e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V870e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V871e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V872e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V873e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V874e20 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V875e21 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V876e22 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V877e23 ) @ V854l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.83 <=> ? [V878l_27: $i] :
% 5.55/5.83 ( ( mem @ V878l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.83 & ? [V879e1: $i] :
% 5.55/5.83 ( ( mem @ V879e1 @ A_27a )
% 5.55/5.83 & ? [V880e2: $i] :
% 5.55/5.83 ( ( mem @ V880e2 @ A_27a )
% 5.55/5.83 & ? [V881e3: $i] :
% 5.55/5.83 ( ( mem @ V881e3 @ A_27a )
% 5.55/5.83 & ? [V882e4: $i] :
% 5.55/5.83 ( ( mem @ V882e4 @ A_27a )
% 5.55/5.83 & ? [V883e5: $i] :
% 5.55/5.83 ( ( mem @ V883e5 @ A_27a )
% 5.55/5.83 & ? [V884e6: $i] :
% 5.55/5.83 ( ( mem @ V884e6 @ A_27a )
% 5.55/5.83 & ? [V885e7: $i] :
% 5.55/5.83 ( ( mem @ V885e7 @ A_27a )
% 5.55/5.83 & ? [V886e8: $i] :
% 5.55/5.83 ( ( mem @ V886e8 @ A_27a )
% 5.55/5.83 & ? [V887e9: $i] :
% 5.55/5.83 ( ( mem @ V887e9 @ A_27a )
% 5.55/5.83 & ? [V888e10: $i] :
% 5.55/5.83 ( ( mem @ V888e10 @ A_27a )
% 5.55/5.83 & ? [V889e11: $i] :
% 5.55/5.83 ( ( mem @ V889e11 @ A_27a )
% 5.55/5.83 & ? [V890e12: $i] :
% 5.55/5.83 ( ( mem @ V890e12 @ A_27a )
% 5.55/5.83 & ? [V891e13: $i] :
% 5.55/5.83 ( ( mem @ V891e13 @ A_27a )
% 5.55/5.83 & ? [V892e14: $i] :
% 5.55/5.83 ( ( mem @ V892e14 @ A_27a )
% 5.55/5.83 & ? [V893e15: $i] :
% 5.55/5.83 ( ( mem @ V893e15 @ A_27a )
% 5.55/5.83 & ? [V894e16: $i] :
% 5.55/5.83 ( ( mem @ V894e16 @ A_27a )
% 5.55/5.83 & ? [V895e17: $i] :
% 5.55/5.83 ( ( mem @ V895e17 @ A_27a )
% 5.55/5.83 & ? [V896e18: $i] :
% 5.55/5.83 ( ( mem @ V896e18 @ A_27a )
% 5.55/5.83 & ? [V897e19: $i] :
% 5.55/5.83 ( ( mem @ V897e19 @ A_27a )
% 5.55/5.83 & ? [V898e20: $i] :
% 5.55/5.83 ( ( mem @ V898e20 @ A_27a )
% 5.55/5.83 & ? [V899e21: $i] :
% 5.55/5.83 ( ( mem @ V899e21 @ A_27a )
% 5.55/5.83 & ? [V900e22: $i] :
% 5.55/5.83 ( ( mem @ V900e22 @ A_27a )
% 5.55/5.83 & ? [V901e23: $i] :
% 5.55/5.83 ( ( mem @ V901e23 @ A_27a )
% 5.55/5.83 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V878l_27 ) ) )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V879e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V880e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V881e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V882e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V883e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V884e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V885e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V886e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V887e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V888e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V889e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V890e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V891e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V892e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V893e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V894e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V895e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V896e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V897e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V898e20 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V899e21 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V900e22 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V901e23 ) @ V878l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.83 <=> ? [V902l_27: $i] :
% 5.55/5.83 ( ( mem @ V902l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.83 & ? [V903e1: $i] :
% 5.55/5.83 ( ( mem @ V903e1 @ A_27a )
% 5.55/5.83 & ? [V904e2: $i] :
% 5.55/5.83 ( ( mem @ V904e2 @ A_27a )
% 5.55/5.83 & ? [V905e3: $i] :
% 5.55/5.83 ( ( mem @ V905e3 @ A_27a )
% 5.55/5.83 & ? [V906e4: $i] :
% 5.55/5.83 ( ( mem @ V906e4 @ A_27a )
% 5.55/5.83 & ? [V907e5: $i] :
% 5.55/5.83 ( ( mem @ V907e5 @ A_27a )
% 5.55/5.83 & ? [V908e6: $i] :
% 5.55/5.83 ( ( mem @ V908e6 @ A_27a )
% 5.55/5.83 & ? [V909e7: $i] :
% 5.55/5.83 ( ( mem @ V909e7 @ A_27a )
% 5.55/5.83 & ? [V910e8: $i] :
% 5.55/5.83 ( ( mem @ V910e8 @ A_27a )
% 5.55/5.83 & ? [V911e9: $i] :
% 5.55/5.83 ( ( mem @ V911e9 @ A_27a )
% 5.55/5.83 & ? [V912e10: $i] :
% 5.55/5.83 ( ( mem @ V912e10 @ A_27a )
% 5.55/5.83 & ? [V913e11: $i] :
% 5.55/5.83 ( ( mem @ V913e11 @ A_27a )
% 5.55/5.83 & ? [V914e12: $i] :
% 5.55/5.83 ( ( mem @ V914e12 @ A_27a )
% 5.55/5.83 & ? [V915e13: $i] :
% 5.55/5.83 ( ( mem @ V915e13 @ A_27a )
% 5.55/5.83 & ? [V916e14: $i] :
% 5.55/5.83 ( ( mem @ V916e14 @ A_27a )
% 5.55/5.83 & ? [V917e15: $i] :
% 5.55/5.83 ( ( mem @ V917e15 @ A_27a )
% 5.55/5.83 & ? [V918e16: $i] :
% 5.55/5.83 ( ( mem @ V918e16 @ A_27a )
% 5.55/5.83 & ? [V919e17: $i] :
% 5.55/5.83 ( ( mem @ V919e17 @ A_27a )
% 5.55/5.83 & ? [V920e18: $i] :
% 5.55/5.83 ( ( mem @ V920e18 @ A_27a )
% 5.55/5.83 & ? [V921e19: $i] :
% 5.55/5.83 ( ( mem @ V921e19 @ A_27a )
% 5.55/5.83 & ? [V922e20: $i] :
% 5.55/5.83 ( ( mem @ V922e20 @ A_27a )
% 5.55/5.83 & ? [V923e21: $i] :
% 5.55/5.83 ( ( mem @ V923e21 @ A_27a )
% 5.55/5.83 & ? [V924e22: $i] :
% 5.55/5.83 ( ( mem @ V924e22 @ A_27a )
% 5.55/5.83 & ? [V925e23: $i] :
% 5.55/5.83 ( ( mem @ V925e23 @ A_27a )
% 5.55/5.83 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V902l_27 ) ) )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V903e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V904e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V905e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V906e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V907e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V908e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V909e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V910e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V911e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V912e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V913e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V914e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V915e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V916e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V917e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V918e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V919e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V920e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V921e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V922e20 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V923e21 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V924e22 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V925e23 ) @ V902l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) )
% 5.55/5.83 <=> ? [V926l_27: $i] :
% 5.55/5.83 ( ( mem @ V926l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.83 & ? [V927e1: $i] :
% 5.55/5.83 ( ( mem @ V927e1 @ A_27a )
% 5.55/5.83 & ? [V928e2: $i] :
% 5.55/5.83 ( ( mem @ V928e2 @ A_27a )
% 5.55/5.83 & ? [V929e3: $i] :
% 5.55/5.83 ( ( mem @ V929e3 @ A_27a )
% 5.55/5.83 & ? [V930e4: $i] :
% 5.55/5.83 ( ( mem @ V930e4 @ A_27a )
% 5.55/5.83 & ? [V931e5: $i] :
% 5.55/5.83 ( ( mem @ V931e5 @ A_27a )
% 5.55/5.83 & ? [V932e6: $i] :
% 5.55/5.83 ( ( mem @ V932e6 @ A_27a )
% 5.55/5.83 & ? [V933e7: $i] :
% 5.55/5.83 ( ( mem @ V933e7 @ A_27a )
% 5.55/5.83 & ? [V934e8: $i] :
% 5.55/5.83 ( ( mem @ V934e8 @ A_27a )
% 5.55/5.83 & ? [V935e9: $i] :
% 5.55/5.83 ( ( mem @ V935e9 @ A_27a )
% 5.55/5.83 & ? [V936e10: $i] :
% 5.55/5.83 ( ( mem @ V936e10 @ A_27a )
% 5.55/5.83 & ? [V937e11: $i] :
% 5.55/5.83 ( ( mem @ V937e11 @ A_27a )
% 5.55/5.83 & ? [V938e12: $i] :
% 5.55/5.83 ( ( mem @ V938e12 @ A_27a )
% 5.55/5.83 & ? [V939e13: $i] :
% 5.55/5.83 ( ( mem @ V939e13 @ A_27a )
% 5.55/5.83 & ? [V940e14: $i] :
% 5.55/5.83 ( ( mem @ V940e14 @ A_27a )
% 5.55/5.83 & ? [V941e15: $i] :
% 5.55/5.83 ( ( mem @ V941e15 @ A_27a )
% 5.55/5.83 & ? [V942e16: $i] :
% 5.55/5.83 ( ( mem @ V942e16 @ A_27a )
% 5.55/5.83 & ? [V943e17: $i] :
% 5.55/5.83 ( ( mem @ V943e17 @ A_27a )
% 5.55/5.83 & ? [V944e18: $i] :
% 5.55/5.83 ( ( mem @ V944e18 @ A_27a )
% 5.55/5.83 & ? [V945e19: $i] :
% 5.55/5.83 ( ( mem @ V945e19 @ A_27a )
% 5.55/5.83 & ? [V946e20: $i] :
% 5.55/5.83 ( ( mem @ V946e20 @ A_27a )
% 5.55/5.83 & ? [V947e21: $i] :
% 5.55/5.83 ( ( mem @ V947e21 @ A_27a )
% 5.55/5.83 & ? [V948e22: $i] :
% 5.55/5.83 ( ( mem @ V948e22 @ A_27a )
% 5.55/5.83 & ? [V949e23: $i] :
% 5.55/5.83 ( ( mem @ V949e23 @ A_27a )
% 5.55/5.83 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V926l_27 ) ) )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V927e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V928e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V929e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V930e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V931e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V932e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V933e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V934e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V935e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V936e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V937e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V938e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V939e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V940e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V941e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V942e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V943e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V944e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V945e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V946e20 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V947e21 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V948e22 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V949e23 ) @ V926l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.83 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.83 <=> ? [V950l_27: $i] :
% 5.55/5.83 ( ( mem @ V950l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.83 & ? [V951e1: $i] :
% 5.55/5.83 ( ( mem @ V951e1 @ A_27a )
% 5.55/5.83 & ? [V952e2: $i] :
% 5.55/5.83 ( ( mem @ V952e2 @ A_27a )
% 5.55/5.83 & ? [V953e3: $i] :
% 5.55/5.83 ( ( mem @ V953e3 @ A_27a )
% 5.55/5.83 & ? [V954e4: $i] :
% 5.55/5.83 ( ( mem @ V954e4 @ A_27a )
% 5.55/5.83 & ? [V955e5: $i] :
% 5.55/5.83 ( ( mem @ V955e5 @ A_27a )
% 5.55/5.83 & ? [V956e6: $i] :
% 5.55/5.83 ( ( mem @ V956e6 @ A_27a )
% 5.55/5.83 & ? [V957e7: $i] :
% 5.55/5.83 ( ( mem @ V957e7 @ A_27a )
% 5.55/5.83 & ? [V958e8: $i] :
% 5.55/5.83 ( ( mem @ V958e8 @ A_27a )
% 5.55/5.83 & ? [V959e9: $i] :
% 5.55/5.83 ( ( mem @ V959e9 @ A_27a )
% 5.55/5.83 & ? [V960e10: $i] :
% 5.55/5.83 ( ( mem @ V960e10 @ A_27a )
% 5.55/5.83 & ? [V961e11: $i] :
% 5.55/5.83 ( ( mem @ V961e11 @ A_27a )
% 5.55/5.83 & ? [V962e12: $i] :
% 5.55/5.83 ( ( mem @ V962e12 @ A_27a )
% 5.55/5.83 & ? [V963e13: $i] :
% 5.55/5.83 ( ( mem @ V963e13 @ A_27a )
% 5.55/5.83 & ? [V964e14: $i] :
% 5.55/5.83 ( ( mem @ V964e14 @ A_27a )
% 5.55/5.83 & ? [V965e15: $i] :
% 5.55/5.83 ( ( mem @ V965e15 @ A_27a )
% 5.55/5.83 & ? [V966e16: $i] :
% 5.55/5.83 ( ( mem @ V966e16 @ A_27a )
% 5.55/5.83 & ? [V967e17: $i] :
% 5.55/5.83 ( ( mem @ V967e17 @ A_27a )
% 5.55/5.83 & ? [V968e18: $i] :
% 5.55/5.83 ( ( mem @ V968e18 @ A_27a )
% 5.55/5.83 & ? [V969e19: $i] :
% 5.55/5.83 ( ( mem @ V969e19 @ A_27a )
% 5.55/5.83 & ? [V970e20: $i] :
% 5.55/5.83 ( ( mem @ V970e20 @ A_27a )
% 5.55/5.83 & ? [V971e21: $i] :
% 5.55/5.83 ( ( mem @ V971e21 @ A_27a )
% 5.55/5.83 & ? [V972e22: $i] :
% 5.55/5.83 ( ( mem @ V972e22 @ A_27a )
% 5.55/5.83 & ? [V973e23: $i] :
% 5.55/5.83 ( ( mem @ V973e23 @ A_27a )
% 5.55/5.83 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V950l_27 ) )
% 5.55/5.83 = V1x )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V951e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V952e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V953e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V954e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V955e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V956e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V957e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V958e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V959e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V960e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V961e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V962e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V963e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V964e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V965e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V966e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V967e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V968e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V969e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V970e20 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V971e21 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V972e22 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V973e23 ) @ V950l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.55/5.83 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.83 <=> ? [V974l_27: $i] :
% 5.55/5.83 ( ( mem @ V974l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.83 & ? [V975e1: $i] :
% 5.55/5.83 ( ( mem @ V975e1 @ A_27a )
% 5.55/5.83 & ? [V976e2: $i] :
% 5.55/5.83 ( ( mem @ V976e2 @ A_27a )
% 5.55/5.83 & ? [V977e3: $i] :
% 5.55/5.83 ( ( mem @ V977e3 @ A_27a )
% 5.55/5.83 & ? [V978e4: $i] :
% 5.55/5.83 ( ( mem @ V978e4 @ A_27a )
% 5.55/5.83 & ? [V979e5: $i] :
% 5.55/5.83 ( ( mem @ V979e5 @ A_27a )
% 5.55/5.83 & ? [V980e6: $i] :
% 5.55/5.83 ( ( mem @ V980e6 @ A_27a )
% 5.55/5.83 & ? [V981e7: $i] :
% 5.55/5.83 ( ( mem @ V981e7 @ A_27a )
% 5.55/5.83 & ? [V982e8: $i] :
% 5.55/5.83 ( ( mem @ V982e8 @ A_27a )
% 5.55/5.83 & ? [V983e9: $i] :
% 5.55/5.83 ( ( mem @ V983e9 @ A_27a )
% 5.55/5.83 & ? [V984e10: $i] :
% 5.55/5.83 ( ( mem @ V984e10 @ A_27a )
% 5.55/5.83 & ? [V985e11: $i] :
% 5.55/5.83 ( ( mem @ V985e11 @ A_27a )
% 5.55/5.83 & ? [V986e12: $i] :
% 5.55/5.83 ( ( mem @ V986e12 @ A_27a )
% 5.55/5.83 & ? [V987e13: $i] :
% 5.55/5.83 ( ( mem @ V987e13 @ A_27a )
% 5.55/5.83 & ? [V988e14: $i] :
% 5.55/5.83 ( ( mem @ V988e14 @ A_27a )
% 5.55/5.83 & ? [V989e15: $i] :
% 5.55/5.83 ( ( mem @ V989e15 @ A_27a )
% 5.55/5.83 & ? [V990e16: $i] :
% 5.55/5.83 ( ( mem @ V990e16 @ A_27a )
% 5.55/5.83 & ? [V991e17: $i] :
% 5.55/5.83 ( ( mem @ V991e17 @ A_27a )
% 5.55/5.83 & ? [V992e18: $i] :
% 5.55/5.83 ( ( mem @ V992e18 @ A_27a )
% 5.55/5.83 & ? [V993e19: $i] :
% 5.55/5.83 ( ( mem @ V993e19 @ A_27a )
% 5.55/5.83 & ? [V994e20: $i] :
% 5.55/5.83 ( ( mem @ V994e20 @ A_27a )
% 5.55/5.83 & ? [V995e21: $i] :
% 5.55/5.83 ( ( mem @ V995e21 @ A_27a )
% 5.55/5.83 & ? [V996e22: $i] :
% 5.55/5.83 ( ( mem @ V996e22 @ A_27a )
% 5.55/5.83 & ? [V997e23: $i] :
% 5.55/5.83 ( ( mem @ V997e23 @ A_27a )
% 5.55/5.83 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V974l_27 ) )
% 5.55/5.83 = V1x )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V975e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V976e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V977e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V978e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V979e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V980e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V981e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V982e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V983e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V984e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V985e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V986e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V987e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V988e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V989e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V990e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V991e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V992e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V993e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V994e20 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V995e21 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V996e22 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V997e23 ) @ V974l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.83 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) )
% 5.55/5.83 <=> ? [V998l_27: $i] :
% 5.55/5.83 ( ( mem @ V998l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.83 & ? [V999e1: $i] :
% 5.55/5.83 ( ( mem @ V999e1 @ A_27a )
% 5.55/5.83 & ? [V1000e2: $i] :
% 5.55/5.83 ( ( mem @ V1000e2 @ A_27a )
% 5.55/5.83 & ? [V1001e3: $i] :
% 5.55/5.83 ( ( mem @ V1001e3 @ A_27a )
% 5.55/5.83 & ? [V1002e4: $i] :
% 5.55/5.83 ( ( mem @ V1002e4 @ A_27a )
% 5.55/5.83 & ? [V1003e5: $i] :
% 5.55/5.83 ( ( mem @ V1003e5 @ A_27a )
% 5.55/5.83 & ? [V1004e6: $i] :
% 5.55/5.83 ( ( mem @ V1004e6 @ A_27a )
% 5.55/5.83 & ? [V1005e7: $i] :
% 5.55/5.83 ( ( mem @ V1005e7 @ A_27a )
% 5.55/5.83 & ? [V1006e8: $i] :
% 5.55/5.83 ( ( mem @ V1006e8 @ A_27a )
% 5.55/5.83 & ? [V1007e9: $i] :
% 5.55/5.83 ( ( mem @ V1007e9 @ A_27a )
% 5.55/5.83 & ? [V1008e10: $i] :
% 5.55/5.83 ( ( mem @ V1008e10 @ A_27a )
% 5.55/5.83 & ? [V1009e11: $i] :
% 5.55/5.83 ( ( mem @ V1009e11 @ A_27a )
% 5.55/5.83 & ? [V1010e12: $i] :
% 5.55/5.83 ( ( mem @ V1010e12 @ A_27a )
% 5.55/5.83 & ? [V1011e13: $i] :
% 5.55/5.83 ( ( mem @ V1011e13 @ A_27a )
% 5.55/5.83 & ? [V1012e14: $i] :
% 5.55/5.83 ( ( mem @ V1012e14 @ A_27a )
% 5.55/5.83 & ? [V1013e15: $i] :
% 5.55/5.83 ( ( mem @ V1013e15 @ A_27a )
% 5.55/5.83 & ? [V1014e16: $i] :
% 5.55/5.83 ( ( mem @ V1014e16 @ A_27a )
% 5.55/5.83 & ? [V1015e17: $i] :
% 5.55/5.83 ( ( mem @ V1015e17 @ A_27a )
% 5.55/5.83 & ? [V1016e18: $i] :
% 5.55/5.83 ( ( mem @ V1016e18 @ A_27a )
% 5.55/5.83 & ? [V1017e19: $i] :
% 5.55/5.83 ( ( mem @ V1017e19 @ A_27a )
% 5.55/5.83 & ? [V1018e20: $i] :
% 5.55/5.83 ( ( mem @ V1018e20 @ A_27a )
% 5.55/5.83 & ? [V1019e21: $i] :
% 5.55/5.83 ( ( mem @ V1019e21 @ A_27a )
% 5.55/5.83 & ? [V1020e22: $i] :
% 5.55/5.83 ( ( mem @ V1020e22 @ A_27a )
% 5.55/5.83 & ? [V1021e23: $i] :
% 5.55/5.83 ( ( mem @ V1021e23 @ A_27a )
% 5.55/5.83 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V998l_27 ) )
% 5.55/5.83 = V1x )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V999e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1000e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1001e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1002e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1003e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1004e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1005e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1006e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1007e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1008e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1009e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1010e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1011e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1012e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1013e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1014e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1015e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1016e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1017e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1018e20 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1019e21 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1020e22 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1021e23 ) @ V998l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.83 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.83 <=> ? [V1022l_27: $i] :
% 5.55/5.83 ( ( mem @ V1022l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.83 & ? [V1023e1: $i] :
% 5.55/5.83 ( ( mem @ V1023e1 @ A_27a )
% 5.55/5.83 & ? [V1024e2: $i] :
% 5.55/5.83 ( ( mem @ V1024e2 @ A_27a )
% 5.55/5.83 & ? [V1025e3: $i] :
% 5.55/5.83 ( ( mem @ V1025e3 @ A_27a )
% 5.55/5.83 & ? [V1026e4: $i] :
% 5.55/5.83 ( ( mem @ V1026e4 @ A_27a )
% 5.55/5.83 & ? [V1027e5: $i] :
% 5.55/5.83 ( ( mem @ V1027e5 @ A_27a )
% 5.55/5.83 & ? [V1028e6: $i] :
% 5.55/5.83 ( ( mem @ V1028e6 @ A_27a )
% 5.55/5.83 & ? [V1029e7: $i] :
% 5.55/5.83 ( ( mem @ V1029e7 @ A_27a )
% 5.55/5.83 & ? [V1030e8: $i] :
% 5.55/5.83 ( ( mem @ V1030e8 @ A_27a )
% 5.55/5.83 & ? [V1031e9: $i] :
% 5.55/5.83 ( ( mem @ V1031e9 @ A_27a )
% 5.55/5.83 & ? [V1032e10: $i] :
% 5.55/5.83 ( ( mem @ V1032e10 @ A_27a )
% 5.55/5.83 & ? [V1033e11: $i] :
% 5.55/5.83 ( ( mem @ V1033e11 @ A_27a )
% 5.55/5.83 & ? [V1034e12: $i] :
% 5.55/5.83 ( ( mem @ V1034e12 @ A_27a )
% 5.55/5.83 & ? [V1035e13: $i] :
% 5.55/5.83 ( ( mem @ V1035e13 @ A_27a )
% 5.55/5.83 & ? [V1036e14: $i] :
% 5.55/5.83 ( ( mem @ V1036e14 @ A_27a )
% 5.55/5.83 & ? [V1037e15: $i] :
% 5.55/5.83 ( ( mem @ V1037e15 @ A_27a )
% 5.55/5.83 & ? [V1038e16: $i] :
% 5.55/5.83 ( ( mem @ V1038e16 @ A_27a )
% 5.55/5.83 & ? [V1039e17: $i] :
% 5.55/5.83 ( ( mem @ V1039e17 @ A_27a )
% 5.55/5.83 & ? [V1040e18: $i] :
% 5.55/5.83 ( ( mem @ V1040e18 @ A_27a )
% 5.55/5.83 & ? [V1041e19: $i] :
% 5.55/5.83 ( ( mem @ V1041e19 @ A_27a )
% 5.55/5.83 & ? [V1042e20: $i] :
% 5.55/5.83 ( ( mem @ V1042e20 @ A_27a )
% 5.55/5.83 & ? [V1043e21: $i] :
% 5.55/5.83 ( ( mem @ V1043e21 @ A_27a )
% 5.55/5.83 & ? [V1044e22: $i] :
% 5.55/5.83 ( ( mem @ V1044e22 @ A_27a )
% 5.55/5.83 & ? [V1045e23: $i] :
% 5.55/5.83 ( ( mem @ V1045e23 @ A_27a )
% 5.55/5.83 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1022l_27 ) )
% 5.55/5.83 = V1x )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1023e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1024e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1025e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1026e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1027e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1028e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1029e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1030e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1031e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1032e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1033e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1034e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1035e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1036e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1037e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1038e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1039e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1040e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1041e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1042e20 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1043e21 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1044e22 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1045e23 ) @ V1022l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.83 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.83 <=> ? [V1046e1: $i] :
% 5.55/5.83 ( ( mem @ V1046e1 @ A_27a )
% 5.55/5.83 & ? [V1047e2: $i] :
% 5.55/5.83 ( ( mem @ V1047e2 @ A_27a )
% 5.55/5.83 & ? [V1048e3: $i] :
% 5.55/5.83 ( ( mem @ V1048e3 @ A_27a )
% 5.55/5.83 & ? [V1049e4: $i] :
% 5.55/5.83 ( ( mem @ V1049e4 @ A_27a )
% 5.55/5.83 & ? [V1050e5: $i] :
% 5.55/5.83 ( ( mem @ V1050e5 @ A_27a )
% 5.55/5.83 & ? [V1051e6: $i] :
% 5.55/5.83 ( ( mem @ V1051e6 @ A_27a )
% 5.55/5.83 & ? [V1052e7: $i] :
% 5.55/5.83 ( ( mem @ V1052e7 @ A_27a )
% 5.55/5.83 & ? [V1053e8: $i] :
% 5.55/5.83 ( ( mem @ V1053e8 @ A_27a )
% 5.55/5.83 & ? [V1054e9: $i] :
% 5.55/5.83 ( ( mem @ V1054e9 @ A_27a )
% 5.55/5.83 & ? [V1055e10: $i] :
% 5.55/5.83 ( ( mem @ V1055e10 @ A_27a )
% 5.55/5.83 & ? [V1056e11: $i] :
% 5.55/5.83 ( ( mem @ V1056e11 @ A_27a )
% 5.55/5.83 & ? [V1057e12: $i] :
% 5.55/5.83 ( ( mem @ V1057e12 @ A_27a )
% 5.55/5.83 & ? [V1058e13: $i] :
% 5.55/5.83 ( ( mem @ V1058e13 @ A_27a )
% 5.55/5.83 & ? [V1059e14: $i] :
% 5.55/5.83 ( ( mem @ V1059e14 @ A_27a )
% 5.55/5.83 & ? [V1060e15: $i] :
% 5.55/5.83 ( ( mem @ V1060e15 @ A_27a )
% 5.55/5.83 & ? [V1061e16: $i] :
% 5.55/5.83 ( ( mem @ V1061e16 @ A_27a )
% 5.55/5.83 & ? [V1062e17: $i] :
% 5.55/5.83 ( ( mem @ V1062e17 @ A_27a )
% 5.55/5.83 & ? [V1063e18: $i] :
% 5.55/5.83 ( ( mem @ V1063e18 @ A_27a )
% 5.55/5.83 & ? [V1064e19: $i] :
% 5.55/5.83 ( ( mem @ V1064e19 @ A_27a )
% 5.55/5.83 & ? [V1065e20: $i] :
% 5.55/5.83 ( ( mem @ V1065e20 @ A_27a )
% 5.55/5.83 & ? [V1066e21: $i] :
% 5.55/5.83 ( ( mem @ V1066e21 @ A_27a )
% 5.55/5.83 & ? [V1067e22: $i] :
% 5.55/5.83 ( ( mem @ V1067e22 @ A_27a )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1046e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1047e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1048e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1049e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1050e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1051e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1052e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1053e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1054e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1055e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1056e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1057e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1058e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1059e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1060e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1061e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1062e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1063e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1064e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1065e20 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1066e21 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1067e22 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.83 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.83 <=> ? [V1068e1: $i] :
% 5.55/5.83 ( ( mem @ V1068e1 @ A_27a )
% 5.55/5.83 & ? [V1069e2: $i] :
% 5.55/5.83 ( ( mem @ V1069e2 @ A_27a )
% 5.55/5.83 & ? [V1070e3: $i] :
% 5.55/5.83 ( ( mem @ V1070e3 @ A_27a )
% 5.55/5.83 & ? [V1071e4: $i] :
% 5.55/5.83 ( ( mem @ V1071e4 @ A_27a )
% 5.55/5.83 & ? [V1072e5: $i] :
% 5.55/5.83 ( ( mem @ V1072e5 @ A_27a )
% 5.55/5.83 & ? [V1073e6: $i] :
% 5.55/5.83 ( ( mem @ V1073e6 @ A_27a )
% 5.55/5.83 & ? [V1074e7: $i] :
% 5.55/5.83 ( ( mem @ V1074e7 @ A_27a )
% 5.55/5.83 & ? [V1075e8: $i] :
% 5.55/5.83 ( ( mem @ V1075e8 @ A_27a )
% 5.55/5.83 & ? [V1076e9: $i] :
% 5.55/5.83 ( ( mem @ V1076e9 @ A_27a )
% 5.55/5.83 & ? [V1077e10: $i] :
% 5.55/5.83 ( ( mem @ V1077e10 @ A_27a )
% 5.55/5.83 & ? [V1078e11: $i] :
% 5.55/5.83 ( ( mem @ V1078e11 @ A_27a )
% 5.55/5.83 & ? [V1079e12: $i] :
% 5.55/5.83 ( ( mem @ V1079e12 @ A_27a )
% 5.55/5.83 & ? [V1080e13: $i] :
% 5.55/5.83 ( ( mem @ V1080e13 @ A_27a )
% 5.55/5.83 & ? [V1081e14: $i] :
% 5.55/5.83 ( ( mem @ V1081e14 @ A_27a )
% 5.55/5.83 & ? [V1082e15: $i] :
% 5.55/5.83 ( ( mem @ V1082e15 @ A_27a )
% 5.55/5.83 & ? [V1083e16: $i] :
% 5.55/5.83 ( ( mem @ V1083e16 @ A_27a )
% 5.55/5.83 & ? [V1084e17: $i] :
% 5.55/5.83 ( ( mem @ V1084e17 @ A_27a )
% 5.55/5.83 & ? [V1085e18: $i] :
% 5.55/5.83 ( ( mem @ V1085e18 @ A_27a )
% 5.55/5.83 & ? [V1086e19: $i] :
% 5.55/5.83 ( ( mem @ V1086e19 @ A_27a )
% 5.55/5.83 & ? [V1087e20: $i] :
% 5.55/5.83 ( ( mem @ V1087e20 @ A_27a )
% 5.55/5.83 & ? [V1088e21: $i] :
% 5.55/5.83 ( ( mem @ V1088e21 @ A_27a )
% 5.55/5.83 & ? [V1089e22: $i] :
% 5.55/5.83 ( ( mem @ V1089e22 @ A_27a )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1068e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1069e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1070e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1071e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1072e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1073e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1074e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1075e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1076e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1077e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1078e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1079e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1080e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1081e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1082e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1083e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1084e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1085e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1086e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1087e20 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1088e21 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1089e22 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.83 <=> ? [V1090l_27: $i] :
% 5.55/5.83 ( ( mem @ V1090l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.83 & ? [V1091e1: $i] :
% 5.55/5.83 ( ( mem @ V1091e1 @ A_27a )
% 5.55/5.83 & ? [V1092e2: $i] :
% 5.55/5.83 ( ( mem @ V1092e2 @ A_27a )
% 5.55/5.83 & ? [V1093e3: $i] :
% 5.55/5.83 ( ( mem @ V1093e3 @ A_27a )
% 5.55/5.83 & ? [V1094e4: $i] :
% 5.55/5.83 ( ( mem @ V1094e4 @ A_27a )
% 5.55/5.83 & ? [V1095e5: $i] :
% 5.55/5.83 ( ( mem @ V1095e5 @ A_27a )
% 5.55/5.83 & ? [V1096e6: $i] :
% 5.55/5.83 ( ( mem @ V1096e6 @ A_27a )
% 5.55/5.83 & ? [V1097e7: $i] :
% 5.55/5.83 ( ( mem @ V1097e7 @ A_27a )
% 5.55/5.83 & ? [V1098e8: $i] :
% 5.55/5.83 ( ( mem @ V1098e8 @ A_27a )
% 5.55/5.83 & ? [V1099e9: $i] :
% 5.55/5.83 ( ( mem @ V1099e9 @ A_27a )
% 5.55/5.83 & ? [V1100e10: $i] :
% 5.55/5.83 ( ( mem @ V1100e10 @ A_27a )
% 5.55/5.83 & ? [V1101e11: $i] :
% 5.55/5.83 ( ( mem @ V1101e11 @ A_27a )
% 5.55/5.83 & ? [V1102e12: $i] :
% 5.55/5.83 ( ( mem @ V1102e12 @ A_27a )
% 5.55/5.83 & ? [V1103e13: $i] :
% 5.55/5.83 ( ( mem @ V1103e13 @ A_27a )
% 5.55/5.83 & ? [V1104e14: $i] :
% 5.55/5.83 ( ( mem @ V1104e14 @ A_27a )
% 5.55/5.83 & ? [V1105e15: $i] :
% 5.55/5.83 ( ( mem @ V1105e15 @ A_27a )
% 5.55/5.83 & ? [V1106e16: $i] :
% 5.55/5.83 ( ( mem @ V1106e16 @ A_27a )
% 5.55/5.83 & ? [V1107e17: $i] :
% 5.55/5.83 ( ( mem @ V1107e17 @ A_27a )
% 5.55/5.83 & ? [V1108e18: $i] :
% 5.55/5.83 ( ( mem @ V1108e18 @ A_27a )
% 5.55/5.83 & ? [V1109e19: $i] :
% 5.55/5.83 ( ( mem @ V1109e19 @ A_27a )
% 5.55/5.83 & ? [V1110e20: $i] :
% 5.55/5.83 ( ( mem @ V1110e20 @ A_27a )
% 5.55/5.83 & ? [V1111e21: $i] :
% 5.55/5.83 ( ( mem @ V1111e21 @ A_27a )
% 5.55/5.83 & ? [V1112e22: $i] :
% 5.55/5.83 ( ( mem @ V1112e22 @ A_27a )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1091e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1092e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1093e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1094e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1095e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1096e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1097e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1098e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1099e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1100e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1101e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1102e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1103e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1104e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1105e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1106e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1107e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1108e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1109e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1110e20 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1111e21 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1112e22 ) @ V1090l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.83 <=> ? [V1113l_27: $i] :
% 5.55/5.83 ( ( mem @ V1113l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.83 & ? [V1114e1: $i] :
% 5.55/5.83 ( ( mem @ V1114e1 @ A_27a )
% 5.55/5.83 & ? [V1115e2: $i] :
% 5.55/5.83 ( ( mem @ V1115e2 @ A_27a )
% 5.55/5.83 & ? [V1116e3: $i] :
% 5.55/5.83 ( ( mem @ V1116e3 @ A_27a )
% 5.55/5.83 & ? [V1117e4: $i] :
% 5.55/5.83 ( ( mem @ V1117e4 @ A_27a )
% 5.55/5.83 & ? [V1118e5: $i] :
% 5.55/5.83 ( ( mem @ V1118e5 @ A_27a )
% 5.55/5.83 & ? [V1119e6: $i] :
% 5.55/5.83 ( ( mem @ V1119e6 @ A_27a )
% 5.55/5.83 & ? [V1120e7: $i] :
% 5.55/5.83 ( ( mem @ V1120e7 @ A_27a )
% 5.55/5.83 & ? [V1121e8: $i] :
% 5.55/5.83 ( ( mem @ V1121e8 @ A_27a )
% 5.55/5.83 & ? [V1122e9: $i] :
% 5.55/5.83 ( ( mem @ V1122e9 @ A_27a )
% 5.55/5.83 & ? [V1123e10: $i] :
% 5.55/5.83 ( ( mem @ V1123e10 @ A_27a )
% 5.55/5.83 & ? [V1124e11: $i] :
% 5.55/5.83 ( ( mem @ V1124e11 @ A_27a )
% 5.55/5.83 & ? [V1125e12: $i] :
% 5.55/5.83 ( ( mem @ V1125e12 @ A_27a )
% 5.55/5.83 & ? [V1126e13: $i] :
% 5.55/5.83 ( ( mem @ V1126e13 @ A_27a )
% 5.55/5.83 & ? [V1127e14: $i] :
% 5.55/5.83 ( ( mem @ V1127e14 @ A_27a )
% 5.55/5.83 & ? [V1128e15: $i] :
% 5.55/5.83 ( ( mem @ V1128e15 @ A_27a )
% 5.55/5.83 & ? [V1129e16: $i] :
% 5.55/5.83 ( ( mem @ V1129e16 @ A_27a )
% 5.55/5.83 & ? [V1130e17: $i] :
% 5.55/5.83 ( ( mem @ V1130e17 @ A_27a )
% 5.55/5.83 & ? [V1131e18: $i] :
% 5.55/5.83 ( ( mem @ V1131e18 @ A_27a )
% 5.55/5.83 & ? [V1132e19: $i] :
% 5.55/5.83 ( ( mem @ V1132e19 @ A_27a )
% 5.55/5.83 & ? [V1133e20: $i] :
% 5.55/5.83 ( ( mem @ V1133e20 @ A_27a )
% 5.55/5.83 & ? [V1134e21: $i] :
% 5.55/5.83 ( ( mem @ V1134e21 @ A_27a )
% 5.55/5.83 & ? [V1135e22: $i] :
% 5.55/5.83 ( ( mem @ V1135e22 @ A_27a )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1114e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1115e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1116e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1117e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1118e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1119e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1120e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1121e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1122e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1123e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1124e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1125e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1126e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1127e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1128e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1129e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1130e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1131e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1132e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1133e20 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1134e21 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1135e22 ) @ V1113l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.83 <=> ? [V1136l_27: $i] :
% 5.55/5.83 ( ( mem @ V1136l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.83 & ? [V1137e1: $i] :
% 5.55/5.83 ( ( mem @ V1137e1 @ A_27a )
% 5.55/5.83 & ? [V1138e2: $i] :
% 5.55/5.83 ( ( mem @ V1138e2 @ A_27a )
% 5.55/5.83 & ? [V1139e3: $i] :
% 5.55/5.83 ( ( mem @ V1139e3 @ A_27a )
% 5.55/5.83 & ? [V1140e4: $i] :
% 5.55/5.83 ( ( mem @ V1140e4 @ A_27a )
% 5.55/5.83 & ? [V1141e5: $i] :
% 5.55/5.83 ( ( mem @ V1141e5 @ A_27a )
% 5.55/5.83 & ? [V1142e6: $i] :
% 5.55/5.83 ( ( mem @ V1142e6 @ A_27a )
% 5.55/5.83 & ? [V1143e7: $i] :
% 5.55/5.83 ( ( mem @ V1143e7 @ A_27a )
% 5.55/5.83 & ? [V1144e8: $i] :
% 5.55/5.83 ( ( mem @ V1144e8 @ A_27a )
% 5.55/5.83 & ? [V1145e9: $i] :
% 5.55/5.83 ( ( mem @ V1145e9 @ A_27a )
% 5.55/5.83 & ? [V1146e10: $i] :
% 5.55/5.83 ( ( mem @ V1146e10 @ A_27a )
% 5.55/5.83 & ? [V1147e11: $i] :
% 5.55/5.83 ( ( mem @ V1147e11 @ A_27a )
% 5.55/5.83 & ? [V1148e12: $i] :
% 5.55/5.83 ( ( mem @ V1148e12 @ A_27a )
% 5.55/5.83 & ? [V1149e13: $i] :
% 5.55/5.83 ( ( mem @ V1149e13 @ A_27a )
% 5.55/5.83 & ? [V1150e14: $i] :
% 5.55/5.83 ( ( mem @ V1150e14 @ A_27a )
% 5.55/5.83 & ? [V1151e15: $i] :
% 5.55/5.83 ( ( mem @ V1151e15 @ A_27a )
% 5.55/5.83 & ? [V1152e16: $i] :
% 5.55/5.83 ( ( mem @ V1152e16 @ A_27a )
% 5.55/5.83 & ? [V1153e17: $i] :
% 5.55/5.83 ( ( mem @ V1153e17 @ A_27a )
% 5.55/5.83 & ? [V1154e18: $i] :
% 5.55/5.83 ( ( mem @ V1154e18 @ A_27a )
% 5.55/5.83 & ? [V1155e19: $i] :
% 5.55/5.83 ( ( mem @ V1155e19 @ A_27a )
% 5.55/5.83 & ? [V1156e20: $i] :
% 5.55/5.83 ( ( mem @ V1156e20 @ A_27a )
% 5.55/5.83 & ? [V1157e21: $i] :
% 5.55/5.83 ( ( mem @ V1157e21 @ A_27a )
% 5.55/5.83 & ? [V1158e22: $i] :
% 5.55/5.83 ( ( mem @ V1158e22 @ A_27a )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1137e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1138e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1139e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1140e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1141e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1142e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1143e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1144e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1145e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1146e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1147e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1148e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1149e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1150e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1151e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1152e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1153e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1154e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1155e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1156e20 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1157e21 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1158e22 ) @ V1136l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.83 <=> ? [V1159l_27: $i] :
% 5.55/5.83 ( ( mem @ V1159l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.83 & ? [V1160e1: $i] :
% 5.55/5.83 ( ( mem @ V1160e1 @ A_27a )
% 5.55/5.83 & ? [V1161e2: $i] :
% 5.55/5.83 ( ( mem @ V1161e2 @ A_27a )
% 5.55/5.83 & ? [V1162e3: $i] :
% 5.55/5.83 ( ( mem @ V1162e3 @ A_27a )
% 5.55/5.83 & ? [V1163e4: $i] :
% 5.55/5.83 ( ( mem @ V1163e4 @ A_27a )
% 5.55/5.83 & ? [V1164e5: $i] :
% 5.55/5.83 ( ( mem @ V1164e5 @ A_27a )
% 5.55/5.83 & ? [V1165e6: $i] :
% 5.55/5.83 ( ( mem @ V1165e6 @ A_27a )
% 5.55/5.83 & ? [V1166e7: $i] :
% 5.55/5.83 ( ( mem @ V1166e7 @ A_27a )
% 5.55/5.83 & ? [V1167e8: $i] :
% 5.55/5.83 ( ( mem @ V1167e8 @ A_27a )
% 5.55/5.83 & ? [V1168e9: $i] :
% 5.55/5.83 ( ( mem @ V1168e9 @ A_27a )
% 5.55/5.83 & ? [V1169e10: $i] :
% 5.55/5.83 ( ( mem @ V1169e10 @ A_27a )
% 5.55/5.83 & ? [V1170e11: $i] :
% 5.55/5.83 ( ( mem @ V1170e11 @ A_27a )
% 5.55/5.83 & ? [V1171e12: $i] :
% 5.55/5.83 ( ( mem @ V1171e12 @ A_27a )
% 5.55/5.83 & ? [V1172e13: $i] :
% 5.55/5.83 ( ( mem @ V1172e13 @ A_27a )
% 5.55/5.83 & ? [V1173e14: $i] :
% 5.55/5.83 ( ( mem @ V1173e14 @ A_27a )
% 5.55/5.83 & ? [V1174e15: $i] :
% 5.55/5.83 ( ( mem @ V1174e15 @ A_27a )
% 5.55/5.83 & ? [V1175e16: $i] :
% 5.55/5.83 ( ( mem @ V1175e16 @ A_27a )
% 5.55/5.83 & ? [V1176e17: $i] :
% 5.55/5.83 ( ( mem @ V1176e17 @ A_27a )
% 5.55/5.83 & ? [V1177e18: $i] :
% 5.55/5.83 ( ( mem @ V1177e18 @ A_27a )
% 5.55/5.83 & ? [V1178e19: $i] :
% 5.55/5.83 ( ( mem @ V1178e19 @ A_27a )
% 5.55/5.83 & ? [V1179e20: $i] :
% 5.55/5.83 ( ( mem @ V1179e20 @ A_27a )
% 5.55/5.83 & ? [V1180e21: $i] :
% 5.55/5.83 ( ( mem @ V1180e21 @ A_27a )
% 5.55/5.83 & ? [V1181e22: $i] :
% 5.55/5.83 ( ( mem @ V1181e22 @ A_27a )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1160e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1161e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1162e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1163e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1164e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1165e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1166e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1167e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1168e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1169e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1170e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1171e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1172e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1173e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1174e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1175e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1176e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1177e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1178e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1179e20 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1180e21 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1181e22 ) @ V1159l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.83 <=> ? [V1182l_27: $i] :
% 5.55/5.83 ( ( mem @ V1182l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.83 & ? [V1183e1: $i] :
% 5.55/5.83 ( ( mem @ V1183e1 @ A_27a )
% 5.55/5.83 & ? [V1184e2: $i] :
% 5.55/5.83 ( ( mem @ V1184e2 @ A_27a )
% 5.55/5.83 & ? [V1185e3: $i] :
% 5.55/5.83 ( ( mem @ V1185e3 @ A_27a )
% 5.55/5.83 & ? [V1186e4: $i] :
% 5.55/5.83 ( ( mem @ V1186e4 @ A_27a )
% 5.55/5.83 & ? [V1187e5: $i] :
% 5.55/5.83 ( ( mem @ V1187e5 @ A_27a )
% 5.55/5.83 & ? [V1188e6: $i] :
% 5.55/5.83 ( ( mem @ V1188e6 @ A_27a )
% 5.55/5.83 & ? [V1189e7: $i] :
% 5.55/5.83 ( ( mem @ V1189e7 @ A_27a )
% 5.55/5.83 & ? [V1190e8: $i] :
% 5.55/5.83 ( ( mem @ V1190e8 @ A_27a )
% 5.55/5.83 & ? [V1191e9: $i] :
% 5.55/5.83 ( ( mem @ V1191e9 @ A_27a )
% 5.55/5.83 & ? [V1192e10: $i] :
% 5.55/5.83 ( ( mem @ V1192e10 @ A_27a )
% 5.55/5.83 & ? [V1193e11: $i] :
% 5.55/5.83 ( ( mem @ V1193e11 @ A_27a )
% 5.55/5.83 & ? [V1194e12: $i] :
% 5.55/5.83 ( ( mem @ V1194e12 @ A_27a )
% 5.55/5.83 & ? [V1195e13: $i] :
% 5.55/5.83 ( ( mem @ V1195e13 @ A_27a )
% 5.55/5.83 & ? [V1196e14: $i] :
% 5.55/5.83 ( ( mem @ V1196e14 @ A_27a )
% 5.55/5.83 & ? [V1197e15: $i] :
% 5.55/5.83 ( ( mem @ V1197e15 @ A_27a )
% 5.55/5.83 & ? [V1198e16: $i] :
% 5.55/5.83 ( ( mem @ V1198e16 @ A_27a )
% 5.55/5.83 & ? [V1199e17: $i] :
% 5.55/5.83 ( ( mem @ V1199e17 @ A_27a )
% 5.55/5.83 & ? [V1200e18: $i] :
% 5.55/5.83 ( ( mem @ V1200e18 @ A_27a )
% 5.55/5.83 & ? [V1201e19: $i] :
% 5.55/5.83 ( ( mem @ V1201e19 @ A_27a )
% 5.55/5.83 & ? [V1202e20: $i] :
% 5.55/5.83 ( ( mem @ V1202e20 @ A_27a )
% 5.55/5.83 & ? [V1203e21: $i] :
% 5.55/5.83 ( ( mem @ V1203e21 @ A_27a )
% 5.55/5.83 & ? [V1204e22: $i] :
% 5.55/5.83 ( ( mem @ V1204e22 @ A_27a )
% 5.55/5.83 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1182l_27 ) ) )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1183e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1184e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1185e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1186e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1187e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1188e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1189e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1190e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1191e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1192e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1193e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1194e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1195e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1196e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1197e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1198e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1199e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1200e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1201e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1202e20 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1203e21 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1204e22 ) @ V1182l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.83 <=> ? [V1205l_27: $i] :
% 5.55/5.83 ( ( mem @ V1205l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.83 & ? [V1206e1: $i] :
% 5.55/5.83 ( ( mem @ V1206e1 @ A_27a )
% 5.55/5.83 & ? [V1207e2: $i] :
% 5.55/5.83 ( ( mem @ V1207e2 @ A_27a )
% 5.55/5.83 & ? [V1208e3: $i] :
% 5.55/5.83 ( ( mem @ V1208e3 @ A_27a )
% 5.55/5.83 & ? [V1209e4: $i] :
% 5.55/5.83 ( ( mem @ V1209e4 @ A_27a )
% 5.55/5.83 & ? [V1210e5: $i] :
% 5.55/5.83 ( ( mem @ V1210e5 @ A_27a )
% 5.55/5.83 & ? [V1211e6: $i] :
% 5.55/5.83 ( ( mem @ V1211e6 @ A_27a )
% 5.55/5.83 & ? [V1212e7: $i] :
% 5.55/5.83 ( ( mem @ V1212e7 @ A_27a )
% 5.55/5.83 & ? [V1213e8: $i] :
% 5.55/5.83 ( ( mem @ V1213e8 @ A_27a )
% 5.55/5.83 & ? [V1214e9: $i] :
% 5.55/5.83 ( ( mem @ V1214e9 @ A_27a )
% 5.55/5.83 & ? [V1215e10: $i] :
% 5.55/5.83 ( ( mem @ V1215e10 @ A_27a )
% 5.55/5.83 & ? [V1216e11: $i] :
% 5.55/5.83 ( ( mem @ V1216e11 @ A_27a )
% 5.55/5.83 & ? [V1217e12: $i] :
% 5.55/5.83 ( ( mem @ V1217e12 @ A_27a )
% 5.55/5.83 & ? [V1218e13: $i] :
% 5.55/5.83 ( ( mem @ V1218e13 @ A_27a )
% 5.55/5.83 & ? [V1219e14: $i] :
% 5.55/5.83 ( ( mem @ V1219e14 @ A_27a )
% 5.55/5.83 & ? [V1220e15: $i] :
% 5.55/5.83 ( ( mem @ V1220e15 @ A_27a )
% 5.55/5.83 & ? [V1221e16: $i] :
% 5.55/5.83 ( ( mem @ V1221e16 @ A_27a )
% 5.55/5.83 & ? [V1222e17: $i] :
% 5.55/5.83 ( ( mem @ V1222e17 @ A_27a )
% 5.55/5.83 & ? [V1223e18: $i] :
% 5.55/5.83 ( ( mem @ V1223e18 @ A_27a )
% 5.55/5.83 & ? [V1224e19: $i] :
% 5.55/5.83 ( ( mem @ V1224e19 @ A_27a )
% 5.55/5.83 & ? [V1225e20: $i] :
% 5.55/5.83 ( ( mem @ V1225e20 @ A_27a )
% 5.55/5.83 & ? [V1226e21: $i] :
% 5.55/5.83 ( ( mem @ V1226e21 @ A_27a )
% 5.55/5.83 & ? [V1227e22: $i] :
% 5.55/5.83 ( ( mem @ V1227e22 @ A_27a )
% 5.55/5.83 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1205l_27 ) ) )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1206e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1207e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1208e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1209e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1210e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1211e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1212e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1213e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1214e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1215e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1216e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1217e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1218e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1219e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1220e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1221e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1222e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1223e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1224e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1225e20 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1226e21 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1227e22 ) @ V1205l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.83 <=> ? [V1228l_27: $i] :
% 5.55/5.83 ( ( mem @ V1228l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.83 & ? [V1229e1: $i] :
% 5.55/5.83 ( ( mem @ V1229e1 @ A_27a )
% 5.55/5.83 & ? [V1230e2: $i] :
% 5.55/5.83 ( ( mem @ V1230e2 @ A_27a )
% 5.55/5.83 & ? [V1231e3: $i] :
% 5.55/5.83 ( ( mem @ V1231e3 @ A_27a )
% 5.55/5.83 & ? [V1232e4: $i] :
% 5.55/5.83 ( ( mem @ V1232e4 @ A_27a )
% 5.55/5.83 & ? [V1233e5: $i] :
% 5.55/5.83 ( ( mem @ V1233e5 @ A_27a )
% 5.55/5.83 & ? [V1234e6: $i] :
% 5.55/5.83 ( ( mem @ V1234e6 @ A_27a )
% 5.55/5.83 & ? [V1235e7: $i] :
% 5.55/5.83 ( ( mem @ V1235e7 @ A_27a )
% 5.55/5.83 & ? [V1236e8: $i] :
% 5.55/5.83 ( ( mem @ V1236e8 @ A_27a )
% 5.55/5.83 & ? [V1237e9: $i] :
% 5.55/5.83 ( ( mem @ V1237e9 @ A_27a )
% 5.55/5.83 & ? [V1238e10: $i] :
% 5.55/5.83 ( ( mem @ V1238e10 @ A_27a )
% 5.55/5.83 & ? [V1239e11: $i] :
% 5.55/5.83 ( ( mem @ V1239e11 @ A_27a )
% 5.55/5.83 & ? [V1240e12: $i] :
% 5.55/5.83 ( ( mem @ V1240e12 @ A_27a )
% 5.55/5.83 & ? [V1241e13: $i] :
% 5.55/5.83 ( ( mem @ V1241e13 @ A_27a )
% 5.55/5.83 & ? [V1242e14: $i] :
% 5.55/5.83 ( ( mem @ V1242e14 @ A_27a )
% 5.55/5.83 & ? [V1243e15: $i] :
% 5.55/5.83 ( ( mem @ V1243e15 @ A_27a )
% 5.55/5.83 & ? [V1244e16: $i] :
% 5.55/5.83 ( ( mem @ V1244e16 @ A_27a )
% 5.55/5.83 & ? [V1245e17: $i] :
% 5.55/5.83 ( ( mem @ V1245e17 @ A_27a )
% 5.55/5.83 & ? [V1246e18: $i] :
% 5.55/5.83 ( ( mem @ V1246e18 @ A_27a )
% 5.55/5.83 & ? [V1247e19: $i] :
% 5.55/5.83 ( ( mem @ V1247e19 @ A_27a )
% 5.55/5.83 & ? [V1248e20: $i] :
% 5.55/5.83 ( ( mem @ V1248e20 @ A_27a )
% 5.55/5.83 & ? [V1249e21: $i] :
% 5.55/5.83 ( ( mem @ V1249e21 @ A_27a )
% 5.55/5.83 & ? [V1250e22: $i] :
% 5.55/5.83 ( ( mem @ V1250e22 @ A_27a )
% 5.55/5.83 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1228l_27 ) ) )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1229e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1230e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1231e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1232e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1233e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1234e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1235e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1236e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1237e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1238e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1239e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1240e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1241e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1242e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1243e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1244e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1245e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1246e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1247e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1248e20 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1249e21 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1250e22 ) @ V1228l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) )
% 5.55/5.83 <=> ? [V1251l_27: $i] :
% 5.55/5.83 ( ( mem @ V1251l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.83 & ? [V1252e1: $i] :
% 5.55/5.83 ( ( mem @ V1252e1 @ A_27a )
% 5.55/5.83 & ? [V1253e2: $i] :
% 5.55/5.83 ( ( mem @ V1253e2 @ A_27a )
% 5.55/5.83 & ? [V1254e3: $i] :
% 5.55/5.83 ( ( mem @ V1254e3 @ A_27a )
% 5.55/5.83 & ? [V1255e4: $i] :
% 5.55/5.83 ( ( mem @ V1255e4 @ A_27a )
% 5.55/5.83 & ? [V1256e5: $i] :
% 5.55/5.83 ( ( mem @ V1256e5 @ A_27a )
% 5.55/5.83 & ? [V1257e6: $i] :
% 5.55/5.83 ( ( mem @ V1257e6 @ A_27a )
% 5.55/5.83 & ? [V1258e7: $i] :
% 5.55/5.83 ( ( mem @ V1258e7 @ A_27a )
% 5.55/5.83 & ? [V1259e8: $i] :
% 5.55/5.83 ( ( mem @ V1259e8 @ A_27a )
% 5.55/5.83 & ? [V1260e9: $i] :
% 5.55/5.83 ( ( mem @ V1260e9 @ A_27a )
% 5.55/5.83 & ? [V1261e10: $i] :
% 5.55/5.83 ( ( mem @ V1261e10 @ A_27a )
% 5.55/5.83 & ? [V1262e11: $i] :
% 5.55/5.83 ( ( mem @ V1262e11 @ A_27a )
% 5.55/5.83 & ? [V1263e12: $i] :
% 5.55/5.83 ( ( mem @ V1263e12 @ A_27a )
% 5.55/5.83 & ? [V1264e13: $i] :
% 5.55/5.83 ( ( mem @ V1264e13 @ A_27a )
% 5.55/5.83 & ? [V1265e14: $i] :
% 5.55/5.83 ( ( mem @ V1265e14 @ A_27a )
% 5.55/5.83 & ? [V1266e15: $i] :
% 5.55/5.83 ( ( mem @ V1266e15 @ A_27a )
% 5.55/5.83 & ? [V1267e16: $i] :
% 5.55/5.83 ( ( mem @ V1267e16 @ A_27a )
% 5.55/5.83 & ? [V1268e17: $i] :
% 5.55/5.83 ( ( mem @ V1268e17 @ A_27a )
% 5.55/5.83 & ? [V1269e18: $i] :
% 5.55/5.83 ( ( mem @ V1269e18 @ A_27a )
% 5.55/5.83 & ? [V1270e19: $i] :
% 5.55/5.83 ( ( mem @ V1270e19 @ A_27a )
% 5.55/5.83 & ? [V1271e20: $i] :
% 5.55/5.83 ( ( mem @ V1271e20 @ A_27a )
% 5.55/5.83 & ? [V1272e21: $i] :
% 5.55/5.83 ( ( mem @ V1272e21 @ A_27a )
% 5.55/5.83 & ? [V1273e22: $i] :
% 5.55/5.83 ( ( mem @ V1273e22 @ A_27a )
% 5.55/5.83 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1251l_27 ) ) )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1252e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1253e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1254e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1255e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1256e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1257e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1258e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1259e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1260e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1261e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1262e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1263e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1264e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1265e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1266e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1267e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1268e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1269e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1270e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1271e20 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1272e21 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1273e22 ) @ V1251l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.83 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.83 <=> ? [V1274l_27: $i] :
% 5.55/5.83 ( ( mem @ V1274l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.83 & ? [V1275e1: $i] :
% 5.55/5.83 ( ( mem @ V1275e1 @ A_27a )
% 5.55/5.83 & ? [V1276e2: $i] :
% 5.55/5.83 ( ( mem @ V1276e2 @ A_27a )
% 5.55/5.83 & ? [V1277e3: $i] :
% 5.55/5.83 ( ( mem @ V1277e3 @ A_27a )
% 5.55/5.83 & ? [V1278e4: $i] :
% 5.55/5.83 ( ( mem @ V1278e4 @ A_27a )
% 5.55/5.83 & ? [V1279e5: $i] :
% 5.55/5.83 ( ( mem @ V1279e5 @ A_27a )
% 5.55/5.83 & ? [V1280e6: $i] :
% 5.55/5.83 ( ( mem @ V1280e6 @ A_27a )
% 5.55/5.83 & ? [V1281e7: $i] :
% 5.55/5.83 ( ( mem @ V1281e7 @ A_27a )
% 5.55/5.83 & ? [V1282e8: $i] :
% 5.55/5.83 ( ( mem @ V1282e8 @ A_27a )
% 5.55/5.83 & ? [V1283e9: $i] :
% 5.55/5.83 ( ( mem @ V1283e9 @ A_27a )
% 5.55/5.83 & ? [V1284e10: $i] :
% 5.55/5.83 ( ( mem @ V1284e10 @ A_27a )
% 5.55/5.83 & ? [V1285e11: $i] :
% 5.55/5.83 ( ( mem @ V1285e11 @ A_27a )
% 5.55/5.83 & ? [V1286e12: $i] :
% 5.55/5.83 ( ( mem @ V1286e12 @ A_27a )
% 5.55/5.83 & ? [V1287e13: $i] :
% 5.55/5.83 ( ( mem @ V1287e13 @ A_27a )
% 5.55/5.83 & ? [V1288e14: $i] :
% 5.55/5.83 ( ( mem @ V1288e14 @ A_27a )
% 5.55/5.83 & ? [V1289e15: $i] :
% 5.55/5.83 ( ( mem @ V1289e15 @ A_27a )
% 5.55/5.83 & ? [V1290e16: $i] :
% 5.55/5.83 ( ( mem @ V1290e16 @ A_27a )
% 5.55/5.83 & ? [V1291e17: $i] :
% 5.55/5.83 ( ( mem @ V1291e17 @ A_27a )
% 5.55/5.83 & ? [V1292e18: $i] :
% 5.55/5.83 ( ( mem @ V1292e18 @ A_27a )
% 5.55/5.83 & ? [V1293e19: $i] :
% 5.55/5.83 ( ( mem @ V1293e19 @ A_27a )
% 5.55/5.83 & ? [V1294e20: $i] :
% 5.55/5.83 ( ( mem @ V1294e20 @ A_27a )
% 5.55/5.83 & ? [V1295e21: $i] :
% 5.55/5.83 ( ( mem @ V1295e21 @ A_27a )
% 5.55/5.83 & ? [V1296e22: $i] :
% 5.55/5.83 ( ( mem @ V1296e22 @ A_27a )
% 5.55/5.83 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1274l_27 ) )
% 5.55/5.83 = V1x )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1275e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1276e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1277e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1278e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1279e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1280e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1281e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1282e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1283e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1284e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1285e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1286e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1287e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1288e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1289e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1290e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1291e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1292e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1293e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1294e20 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1295e21 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1296e22 ) @ V1274l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.55/5.83 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.83 <=> ? [V1297l_27: $i] :
% 5.55/5.83 ( ( mem @ V1297l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.83 & ? [V1298e1: $i] :
% 5.55/5.83 ( ( mem @ V1298e1 @ A_27a )
% 5.55/5.83 & ? [V1299e2: $i] :
% 5.55/5.83 ( ( mem @ V1299e2 @ A_27a )
% 5.55/5.83 & ? [V1300e3: $i] :
% 5.55/5.83 ( ( mem @ V1300e3 @ A_27a )
% 5.55/5.83 & ? [V1301e4: $i] :
% 5.55/5.83 ( ( mem @ V1301e4 @ A_27a )
% 5.55/5.83 & ? [V1302e5: $i] :
% 5.55/5.83 ( ( mem @ V1302e5 @ A_27a )
% 5.55/5.83 & ? [V1303e6: $i] :
% 5.55/5.83 ( ( mem @ V1303e6 @ A_27a )
% 5.55/5.83 & ? [V1304e7: $i] :
% 5.55/5.83 ( ( mem @ V1304e7 @ A_27a )
% 5.55/5.83 & ? [V1305e8: $i] :
% 5.55/5.83 ( ( mem @ V1305e8 @ A_27a )
% 5.55/5.83 & ? [V1306e9: $i] :
% 5.55/5.83 ( ( mem @ V1306e9 @ A_27a )
% 5.55/5.83 & ? [V1307e10: $i] :
% 5.55/5.83 ( ( mem @ V1307e10 @ A_27a )
% 5.55/5.83 & ? [V1308e11: $i] :
% 5.55/5.83 ( ( mem @ V1308e11 @ A_27a )
% 5.55/5.83 & ? [V1309e12: $i] :
% 5.55/5.83 ( ( mem @ V1309e12 @ A_27a )
% 5.55/5.83 & ? [V1310e13: $i] :
% 5.55/5.83 ( ( mem @ V1310e13 @ A_27a )
% 5.55/5.83 & ? [V1311e14: $i] :
% 5.55/5.83 ( ( mem @ V1311e14 @ A_27a )
% 5.55/5.83 & ? [V1312e15: $i] :
% 5.55/5.83 ( ( mem @ V1312e15 @ A_27a )
% 5.55/5.83 & ? [V1313e16: $i] :
% 5.55/5.83 ( ( mem @ V1313e16 @ A_27a )
% 5.55/5.83 & ? [V1314e17: $i] :
% 5.55/5.83 ( ( mem @ V1314e17 @ A_27a )
% 5.55/5.83 & ? [V1315e18: $i] :
% 5.55/5.83 ( ( mem @ V1315e18 @ A_27a )
% 5.55/5.83 & ? [V1316e19: $i] :
% 5.55/5.83 ( ( mem @ V1316e19 @ A_27a )
% 5.55/5.83 & ? [V1317e20: $i] :
% 5.55/5.83 ( ( mem @ V1317e20 @ A_27a )
% 5.55/5.83 & ? [V1318e21: $i] :
% 5.55/5.83 ( ( mem @ V1318e21 @ A_27a )
% 5.55/5.83 & ? [V1319e22: $i] :
% 5.55/5.83 ( ( mem @ V1319e22 @ A_27a )
% 5.55/5.83 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1297l_27 ) )
% 5.55/5.83 = V1x )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1298e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1299e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1300e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1301e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1302e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1303e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1304e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1305e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1306e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1307e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1308e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1309e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1310e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1311e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1312e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1313e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1314e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1315e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1316e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1317e20 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1318e21 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1319e22 ) @ V1297l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.83 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) )
% 5.55/5.83 <=> ? [V1320l_27: $i] :
% 5.55/5.83 ( ( mem @ V1320l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.83 & ? [V1321e1: $i] :
% 5.55/5.83 ( ( mem @ V1321e1 @ A_27a )
% 5.55/5.83 & ? [V1322e2: $i] :
% 5.55/5.83 ( ( mem @ V1322e2 @ A_27a )
% 5.55/5.83 & ? [V1323e3: $i] :
% 5.55/5.83 ( ( mem @ V1323e3 @ A_27a )
% 5.55/5.83 & ? [V1324e4: $i] :
% 5.55/5.83 ( ( mem @ V1324e4 @ A_27a )
% 5.55/5.83 & ? [V1325e5: $i] :
% 5.55/5.83 ( ( mem @ V1325e5 @ A_27a )
% 5.55/5.83 & ? [V1326e6: $i] :
% 5.55/5.83 ( ( mem @ V1326e6 @ A_27a )
% 5.55/5.83 & ? [V1327e7: $i] :
% 5.55/5.83 ( ( mem @ V1327e7 @ A_27a )
% 5.55/5.83 & ? [V1328e8: $i] :
% 5.55/5.83 ( ( mem @ V1328e8 @ A_27a )
% 5.55/5.83 & ? [V1329e9: $i] :
% 5.55/5.83 ( ( mem @ V1329e9 @ A_27a )
% 5.55/5.83 & ? [V1330e10: $i] :
% 5.55/5.83 ( ( mem @ V1330e10 @ A_27a )
% 5.55/5.83 & ? [V1331e11: $i] :
% 5.55/5.83 ( ( mem @ V1331e11 @ A_27a )
% 5.55/5.83 & ? [V1332e12: $i] :
% 5.55/5.83 ( ( mem @ V1332e12 @ A_27a )
% 5.55/5.83 & ? [V1333e13: $i] :
% 5.55/5.83 ( ( mem @ V1333e13 @ A_27a )
% 5.55/5.83 & ? [V1334e14: $i] :
% 5.55/5.83 ( ( mem @ V1334e14 @ A_27a )
% 5.55/5.83 & ? [V1335e15: $i] :
% 5.55/5.83 ( ( mem @ V1335e15 @ A_27a )
% 5.55/5.83 & ? [V1336e16: $i] :
% 5.55/5.83 ( ( mem @ V1336e16 @ A_27a )
% 5.55/5.83 & ? [V1337e17: $i] :
% 5.55/5.83 ( ( mem @ V1337e17 @ A_27a )
% 5.55/5.83 & ? [V1338e18: $i] :
% 5.55/5.83 ( ( mem @ V1338e18 @ A_27a )
% 5.55/5.83 & ? [V1339e19: $i] :
% 5.55/5.83 ( ( mem @ V1339e19 @ A_27a )
% 5.55/5.83 & ? [V1340e20: $i] :
% 5.55/5.83 ( ( mem @ V1340e20 @ A_27a )
% 5.55/5.83 & ? [V1341e21: $i] :
% 5.55/5.83 ( ( mem @ V1341e21 @ A_27a )
% 5.55/5.83 & ? [V1342e22: $i] :
% 5.55/5.83 ( ( mem @ V1342e22 @ A_27a )
% 5.55/5.83 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1320l_27 ) )
% 5.55/5.83 = V1x )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1321e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1322e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1323e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1324e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1325e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1326e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1327e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1328e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1329e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1330e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1331e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1332e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1333e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1334e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1335e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1336e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1337e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1338e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1339e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1340e20 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1341e21 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1342e22 ) @ V1320l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.83 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.83 <=> ? [V1343l_27: $i] :
% 5.55/5.83 ( ( mem @ V1343l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.83 & ? [V1344e1: $i] :
% 5.55/5.83 ( ( mem @ V1344e1 @ A_27a )
% 5.55/5.83 & ? [V1345e2: $i] :
% 5.55/5.83 ( ( mem @ V1345e2 @ A_27a )
% 5.55/5.83 & ? [V1346e3: $i] :
% 5.55/5.83 ( ( mem @ V1346e3 @ A_27a )
% 5.55/5.83 & ? [V1347e4: $i] :
% 5.55/5.83 ( ( mem @ V1347e4 @ A_27a )
% 5.55/5.83 & ? [V1348e5: $i] :
% 5.55/5.83 ( ( mem @ V1348e5 @ A_27a )
% 5.55/5.83 & ? [V1349e6: $i] :
% 5.55/5.83 ( ( mem @ V1349e6 @ A_27a )
% 5.55/5.83 & ? [V1350e7: $i] :
% 5.55/5.83 ( ( mem @ V1350e7 @ A_27a )
% 5.55/5.83 & ? [V1351e8: $i] :
% 5.55/5.83 ( ( mem @ V1351e8 @ A_27a )
% 5.55/5.83 & ? [V1352e9: $i] :
% 5.55/5.83 ( ( mem @ V1352e9 @ A_27a )
% 5.55/5.83 & ? [V1353e10: $i] :
% 5.55/5.83 ( ( mem @ V1353e10 @ A_27a )
% 5.55/5.83 & ? [V1354e11: $i] :
% 5.55/5.83 ( ( mem @ V1354e11 @ A_27a )
% 5.55/5.83 & ? [V1355e12: $i] :
% 5.55/5.83 ( ( mem @ V1355e12 @ A_27a )
% 5.55/5.83 & ? [V1356e13: $i] :
% 5.55/5.83 ( ( mem @ V1356e13 @ A_27a )
% 5.55/5.83 & ? [V1357e14: $i] :
% 5.55/5.83 ( ( mem @ V1357e14 @ A_27a )
% 5.55/5.83 & ? [V1358e15: $i] :
% 5.55/5.83 ( ( mem @ V1358e15 @ A_27a )
% 5.55/5.83 & ? [V1359e16: $i] :
% 5.55/5.83 ( ( mem @ V1359e16 @ A_27a )
% 5.55/5.83 & ? [V1360e17: $i] :
% 5.55/5.83 ( ( mem @ V1360e17 @ A_27a )
% 5.55/5.83 & ? [V1361e18: $i] :
% 5.55/5.83 ( ( mem @ V1361e18 @ A_27a )
% 5.55/5.83 & ? [V1362e19: $i] :
% 5.55/5.83 ( ( mem @ V1362e19 @ A_27a )
% 5.55/5.83 & ? [V1363e20: $i] :
% 5.55/5.83 ( ( mem @ V1363e20 @ A_27a )
% 5.55/5.83 & ? [V1364e21: $i] :
% 5.55/5.83 ( ( mem @ V1364e21 @ A_27a )
% 5.55/5.83 & ? [V1365e22: $i] :
% 5.55/5.83 ( ( mem @ V1365e22 @ A_27a )
% 5.55/5.83 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1343l_27 ) )
% 5.55/5.83 = V1x )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1344e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1345e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1346e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1347e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1348e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1349e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1350e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1351e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1352e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1353e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1354e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1355e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1356e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1357e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1358e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1359e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1360e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1361e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1362e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1363e20 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1364e21 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1365e22 ) @ V1343l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.83 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.83 <=> ? [V1366e1: $i] :
% 5.55/5.83 ( ( mem @ V1366e1 @ A_27a )
% 5.55/5.83 & ? [V1367e2: $i] :
% 5.55/5.83 ( ( mem @ V1367e2 @ A_27a )
% 5.55/5.83 & ? [V1368e3: $i] :
% 5.55/5.83 ( ( mem @ V1368e3 @ A_27a )
% 5.55/5.83 & ? [V1369e4: $i] :
% 5.55/5.83 ( ( mem @ V1369e4 @ A_27a )
% 5.55/5.83 & ? [V1370e5: $i] :
% 5.55/5.83 ( ( mem @ V1370e5 @ A_27a )
% 5.55/5.83 & ? [V1371e6: $i] :
% 5.55/5.83 ( ( mem @ V1371e6 @ A_27a )
% 5.55/5.83 & ? [V1372e7: $i] :
% 5.55/5.83 ( ( mem @ V1372e7 @ A_27a )
% 5.55/5.83 & ? [V1373e8: $i] :
% 5.55/5.83 ( ( mem @ V1373e8 @ A_27a )
% 5.55/5.83 & ? [V1374e9: $i] :
% 5.55/5.83 ( ( mem @ V1374e9 @ A_27a )
% 5.55/5.83 & ? [V1375e10: $i] :
% 5.55/5.83 ( ( mem @ V1375e10 @ A_27a )
% 5.55/5.83 & ? [V1376e11: $i] :
% 5.55/5.83 ( ( mem @ V1376e11 @ A_27a )
% 5.55/5.83 & ? [V1377e12: $i] :
% 5.55/5.83 ( ( mem @ V1377e12 @ A_27a )
% 5.55/5.83 & ? [V1378e13: $i] :
% 5.55/5.83 ( ( mem @ V1378e13 @ A_27a )
% 5.55/5.83 & ? [V1379e14: $i] :
% 5.55/5.83 ( ( mem @ V1379e14 @ A_27a )
% 5.55/5.83 & ? [V1380e15: $i] :
% 5.55/5.83 ( ( mem @ V1380e15 @ A_27a )
% 5.55/5.83 & ? [V1381e16: $i] :
% 5.55/5.83 ( ( mem @ V1381e16 @ A_27a )
% 5.55/5.83 & ? [V1382e17: $i] :
% 5.55/5.83 ( ( mem @ V1382e17 @ A_27a )
% 5.55/5.83 & ? [V1383e18: $i] :
% 5.55/5.83 ( ( mem @ V1383e18 @ A_27a )
% 5.55/5.83 & ? [V1384e19: $i] :
% 5.55/5.83 ( ( mem @ V1384e19 @ A_27a )
% 5.55/5.83 & ? [V1385e20: $i] :
% 5.55/5.83 ( ( mem @ V1385e20 @ A_27a )
% 5.55/5.83 & ? [V1386e21: $i] :
% 5.55/5.83 ( ( mem @ V1386e21 @ A_27a )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1366e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1367e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1368e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1369e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1370e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1371e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1372e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1373e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1374e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1375e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1376e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1377e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1378e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1379e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1380e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1381e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1382e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1383e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1384e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1385e20 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1386e21 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.83 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.83 <=> ? [V1387e1: $i] :
% 5.55/5.83 ( ( mem @ V1387e1 @ A_27a )
% 5.55/5.83 & ? [V1388e2: $i] :
% 5.55/5.83 ( ( mem @ V1388e2 @ A_27a )
% 5.55/5.83 & ? [V1389e3: $i] :
% 5.55/5.83 ( ( mem @ V1389e3 @ A_27a )
% 5.55/5.83 & ? [V1390e4: $i] :
% 5.55/5.83 ( ( mem @ V1390e4 @ A_27a )
% 5.55/5.83 & ? [V1391e5: $i] :
% 5.55/5.83 ( ( mem @ V1391e5 @ A_27a )
% 5.55/5.83 & ? [V1392e6: $i] :
% 5.55/5.83 ( ( mem @ V1392e6 @ A_27a )
% 5.55/5.83 & ? [V1393e7: $i] :
% 5.55/5.83 ( ( mem @ V1393e7 @ A_27a )
% 5.55/5.83 & ? [V1394e8: $i] :
% 5.55/5.83 ( ( mem @ V1394e8 @ A_27a )
% 5.55/5.83 & ? [V1395e9: $i] :
% 5.55/5.83 ( ( mem @ V1395e9 @ A_27a )
% 5.55/5.83 & ? [V1396e10: $i] :
% 5.55/5.83 ( ( mem @ V1396e10 @ A_27a )
% 5.55/5.83 & ? [V1397e11: $i] :
% 5.55/5.83 ( ( mem @ V1397e11 @ A_27a )
% 5.55/5.83 & ? [V1398e12: $i] :
% 5.55/5.83 ( ( mem @ V1398e12 @ A_27a )
% 5.55/5.83 & ? [V1399e13: $i] :
% 5.55/5.83 ( ( mem @ V1399e13 @ A_27a )
% 5.55/5.83 & ? [V1400e14: $i] :
% 5.55/5.83 ( ( mem @ V1400e14 @ A_27a )
% 5.55/5.83 & ? [V1401e15: $i] :
% 5.55/5.83 ( ( mem @ V1401e15 @ A_27a )
% 5.55/5.83 & ? [V1402e16: $i] :
% 5.55/5.83 ( ( mem @ V1402e16 @ A_27a )
% 5.55/5.83 & ? [V1403e17: $i] :
% 5.55/5.83 ( ( mem @ V1403e17 @ A_27a )
% 5.55/5.83 & ? [V1404e18: $i] :
% 5.55/5.83 ( ( mem @ V1404e18 @ A_27a )
% 5.55/5.83 & ? [V1405e19: $i] :
% 5.55/5.83 ( ( mem @ V1405e19 @ A_27a )
% 5.55/5.83 & ? [V1406e20: $i] :
% 5.55/5.83 ( ( mem @ V1406e20 @ A_27a )
% 5.55/5.83 & ? [V1407e21: $i] :
% 5.55/5.83 ( ( mem @ V1407e21 @ A_27a )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1387e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1388e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1389e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1390e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1391e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1392e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1393e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1394e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1395e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1396e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1397e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1398e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1399e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1400e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1401e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1402e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1403e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1404e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1405e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1406e20 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1407e21 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.83 <=> ? [V1408l_27: $i] :
% 5.55/5.83 ( ( mem @ V1408l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.83 & ? [V1409e1: $i] :
% 5.55/5.83 ( ( mem @ V1409e1 @ A_27a )
% 5.55/5.83 & ? [V1410e2: $i] :
% 5.55/5.83 ( ( mem @ V1410e2 @ A_27a )
% 5.55/5.83 & ? [V1411e3: $i] :
% 5.55/5.83 ( ( mem @ V1411e3 @ A_27a )
% 5.55/5.83 & ? [V1412e4: $i] :
% 5.55/5.83 ( ( mem @ V1412e4 @ A_27a )
% 5.55/5.83 & ? [V1413e5: $i] :
% 5.55/5.83 ( ( mem @ V1413e5 @ A_27a )
% 5.55/5.83 & ? [V1414e6: $i] :
% 5.55/5.83 ( ( mem @ V1414e6 @ A_27a )
% 5.55/5.83 & ? [V1415e7: $i] :
% 5.55/5.83 ( ( mem @ V1415e7 @ A_27a )
% 5.55/5.83 & ? [V1416e8: $i] :
% 5.55/5.83 ( ( mem @ V1416e8 @ A_27a )
% 5.55/5.83 & ? [V1417e9: $i] :
% 5.55/5.83 ( ( mem @ V1417e9 @ A_27a )
% 5.55/5.83 & ? [V1418e10: $i] :
% 5.55/5.83 ( ( mem @ V1418e10 @ A_27a )
% 5.55/5.83 & ? [V1419e11: $i] :
% 5.55/5.83 ( ( mem @ V1419e11 @ A_27a )
% 5.55/5.83 & ? [V1420e12: $i] :
% 5.55/5.83 ( ( mem @ V1420e12 @ A_27a )
% 5.55/5.83 & ? [V1421e13: $i] :
% 5.55/5.83 ( ( mem @ V1421e13 @ A_27a )
% 5.55/5.83 & ? [V1422e14: $i] :
% 5.55/5.83 ( ( mem @ V1422e14 @ A_27a )
% 5.55/5.83 & ? [V1423e15: $i] :
% 5.55/5.83 ( ( mem @ V1423e15 @ A_27a )
% 5.55/5.83 & ? [V1424e16: $i] :
% 5.55/5.83 ( ( mem @ V1424e16 @ A_27a )
% 5.55/5.83 & ? [V1425e17: $i] :
% 5.55/5.83 ( ( mem @ V1425e17 @ A_27a )
% 5.55/5.83 & ? [V1426e18: $i] :
% 5.55/5.83 ( ( mem @ V1426e18 @ A_27a )
% 5.55/5.83 & ? [V1427e19: $i] :
% 5.55/5.83 ( ( mem @ V1427e19 @ A_27a )
% 5.55/5.83 & ? [V1428e20: $i] :
% 5.55/5.83 ( ( mem @ V1428e20 @ A_27a )
% 5.55/5.83 & ? [V1429e21: $i] :
% 5.55/5.83 ( ( mem @ V1429e21 @ A_27a )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1409e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1410e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1411e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1412e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1413e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1414e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1415e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1416e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1417e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1418e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1419e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1420e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1421e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1422e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1423e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1424e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1425e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1426e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1427e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1428e20 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1429e21 ) @ V1408l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.83 <=> ? [V1430l_27: $i] :
% 5.55/5.83 ( ( mem @ V1430l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.83 & ? [V1431e1: $i] :
% 5.55/5.83 ( ( mem @ V1431e1 @ A_27a )
% 5.55/5.83 & ? [V1432e2: $i] :
% 5.55/5.83 ( ( mem @ V1432e2 @ A_27a )
% 5.55/5.83 & ? [V1433e3: $i] :
% 5.55/5.83 ( ( mem @ V1433e3 @ A_27a )
% 5.55/5.83 & ? [V1434e4: $i] :
% 5.55/5.83 ( ( mem @ V1434e4 @ A_27a )
% 5.55/5.83 & ? [V1435e5: $i] :
% 5.55/5.83 ( ( mem @ V1435e5 @ A_27a )
% 5.55/5.83 & ? [V1436e6: $i] :
% 5.55/5.83 ( ( mem @ V1436e6 @ A_27a )
% 5.55/5.83 & ? [V1437e7: $i] :
% 5.55/5.83 ( ( mem @ V1437e7 @ A_27a )
% 5.55/5.83 & ? [V1438e8: $i] :
% 5.55/5.83 ( ( mem @ V1438e8 @ A_27a )
% 5.55/5.83 & ? [V1439e9: $i] :
% 5.55/5.83 ( ( mem @ V1439e9 @ A_27a )
% 5.55/5.83 & ? [V1440e10: $i] :
% 5.55/5.83 ( ( mem @ V1440e10 @ A_27a )
% 5.55/5.83 & ? [V1441e11: $i] :
% 5.55/5.83 ( ( mem @ V1441e11 @ A_27a )
% 5.55/5.83 & ? [V1442e12: $i] :
% 5.55/5.83 ( ( mem @ V1442e12 @ A_27a )
% 5.55/5.83 & ? [V1443e13: $i] :
% 5.55/5.83 ( ( mem @ V1443e13 @ A_27a )
% 5.55/5.83 & ? [V1444e14: $i] :
% 5.55/5.83 ( ( mem @ V1444e14 @ A_27a )
% 5.55/5.83 & ? [V1445e15: $i] :
% 5.55/5.83 ( ( mem @ V1445e15 @ A_27a )
% 5.55/5.83 & ? [V1446e16: $i] :
% 5.55/5.83 ( ( mem @ V1446e16 @ A_27a )
% 5.55/5.83 & ? [V1447e17: $i] :
% 5.55/5.83 ( ( mem @ V1447e17 @ A_27a )
% 5.55/5.83 & ? [V1448e18: $i] :
% 5.55/5.83 ( ( mem @ V1448e18 @ A_27a )
% 5.55/5.83 & ? [V1449e19: $i] :
% 5.55/5.83 ( ( mem @ V1449e19 @ A_27a )
% 5.55/5.83 & ? [V1450e20: $i] :
% 5.55/5.83 ( ( mem @ V1450e20 @ A_27a )
% 5.55/5.83 & ? [V1451e21: $i] :
% 5.55/5.83 ( ( mem @ V1451e21 @ A_27a )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1431e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1432e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1433e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1434e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1435e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1436e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1437e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1438e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1439e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1440e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1441e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1442e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1443e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1444e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1445e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1446e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1447e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1448e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1449e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1450e20 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1451e21 ) @ V1430l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.83 <=> ? [V1452l_27: $i] :
% 5.55/5.83 ( ( mem @ V1452l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.83 & ? [V1453e1: $i] :
% 5.55/5.83 ( ( mem @ V1453e1 @ A_27a )
% 5.55/5.83 & ? [V1454e2: $i] :
% 5.55/5.83 ( ( mem @ V1454e2 @ A_27a )
% 5.55/5.83 & ? [V1455e3: $i] :
% 5.55/5.83 ( ( mem @ V1455e3 @ A_27a )
% 5.55/5.83 & ? [V1456e4: $i] :
% 5.55/5.83 ( ( mem @ V1456e4 @ A_27a )
% 5.55/5.83 & ? [V1457e5: $i] :
% 5.55/5.83 ( ( mem @ V1457e5 @ A_27a )
% 5.55/5.83 & ? [V1458e6: $i] :
% 5.55/5.83 ( ( mem @ V1458e6 @ A_27a )
% 5.55/5.83 & ? [V1459e7: $i] :
% 5.55/5.83 ( ( mem @ V1459e7 @ A_27a )
% 5.55/5.83 & ? [V1460e8: $i] :
% 5.55/5.83 ( ( mem @ V1460e8 @ A_27a )
% 5.55/5.83 & ? [V1461e9: $i] :
% 5.55/5.83 ( ( mem @ V1461e9 @ A_27a )
% 5.55/5.83 & ? [V1462e10: $i] :
% 5.55/5.83 ( ( mem @ V1462e10 @ A_27a )
% 5.55/5.83 & ? [V1463e11: $i] :
% 5.55/5.83 ( ( mem @ V1463e11 @ A_27a )
% 5.55/5.83 & ? [V1464e12: $i] :
% 5.55/5.83 ( ( mem @ V1464e12 @ A_27a )
% 5.55/5.83 & ? [V1465e13: $i] :
% 5.55/5.83 ( ( mem @ V1465e13 @ A_27a )
% 5.55/5.83 & ? [V1466e14: $i] :
% 5.55/5.83 ( ( mem @ V1466e14 @ A_27a )
% 5.55/5.83 & ? [V1467e15: $i] :
% 5.55/5.83 ( ( mem @ V1467e15 @ A_27a )
% 5.55/5.83 & ? [V1468e16: $i] :
% 5.55/5.83 ( ( mem @ V1468e16 @ A_27a )
% 5.55/5.83 & ? [V1469e17: $i] :
% 5.55/5.83 ( ( mem @ V1469e17 @ A_27a )
% 5.55/5.83 & ? [V1470e18: $i] :
% 5.55/5.83 ( ( mem @ V1470e18 @ A_27a )
% 5.55/5.83 & ? [V1471e19: $i] :
% 5.55/5.83 ( ( mem @ V1471e19 @ A_27a )
% 5.55/5.83 & ? [V1472e20: $i] :
% 5.55/5.83 ( ( mem @ V1472e20 @ A_27a )
% 5.55/5.83 & ? [V1473e21: $i] :
% 5.55/5.83 ( ( mem @ V1473e21 @ A_27a )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1453e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1454e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1455e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1456e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1457e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1458e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1459e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1460e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1461e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1462e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1463e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1464e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1465e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1466e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1467e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1468e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1469e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1470e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1471e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1472e20 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1473e21 ) @ V1452l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.83 <=> ? [V1474l_27: $i] :
% 5.55/5.83 ( ( mem @ V1474l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.83 & ? [V1475e1: $i] :
% 5.55/5.83 ( ( mem @ V1475e1 @ A_27a )
% 5.55/5.83 & ? [V1476e2: $i] :
% 5.55/5.83 ( ( mem @ V1476e2 @ A_27a )
% 5.55/5.83 & ? [V1477e3: $i] :
% 5.55/5.83 ( ( mem @ V1477e3 @ A_27a )
% 5.55/5.83 & ? [V1478e4: $i] :
% 5.55/5.83 ( ( mem @ V1478e4 @ A_27a )
% 5.55/5.83 & ? [V1479e5: $i] :
% 5.55/5.83 ( ( mem @ V1479e5 @ A_27a )
% 5.55/5.83 & ? [V1480e6: $i] :
% 5.55/5.83 ( ( mem @ V1480e6 @ A_27a )
% 5.55/5.83 & ? [V1481e7: $i] :
% 5.55/5.83 ( ( mem @ V1481e7 @ A_27a )
% 5.55/5.83 & ? [V1482e8: $i] :
% 5.55/5.83 ( ( mem @ V1482e8 @ A_27a )
% 5.55/5.83 & ? [V1483e9: $i] :
% 5.55/5.83 ( ( mem @ V1483e9 @ A_27a )
% 5.55/5.83 & ? [V1484e10: $i] :
% 5.55/5.83 ( ( mem @ V1484e10 @ A_27a )
% 5.55/5.83 & ? [V1485e11: $i] :
% 5.55/5.83 ( ( mem @ V1485e11 @ A_27a )
% 5.55/5.83 & ? [V1486e12: $i] :
% 5.55/5.83 ( ( mem @ V1486e12 @ A_27a )
% 5.55/5.83 & ? [V1487e13: $i] :
% 5.55/5.83 ( ( mem @ V1487e13 @ A_27a )
% 5.55/5.83 & ? [V1488e14: $i] :
% 5.55/5.83 ( ( mem @ V1488e14 @ A_27a )
% 5.55/5.83 & ? [V1489e15: $i] :
% 5.55/5.83 ( ( mem @ V1489e15 @ A_27a )
% 5.55/5.83 & ? [V1490e16: $i] :
% 5.55/5.83 ( ( mem @ V1490e16 @ A_27a )
% 5.55/5.83 & ? [V1491e17: $i] :
% 5.55/5.83 ( ( mem @ V1491e17 @ A_27a )
% 5.55/5.83 & ? [V1492e18: $i] :
% 5.55/5.83 ( ( mem @ V1492e18 @ A_27a )
% 5.55/5.83 & ? [V1493e19: $i] :
% 5.55/5.83 ( ( mem @ V1493e19 @ A_27a )
% 5.55/5.83 & ? [V1494e20: $i] :
% 5.55/5.83 ( ( mem @ V1494e20 @ A_27a )
% 5.55/5.83 & ? [V1495e21: $i] :
% 5.55/5.83 ( ( mem @ V1495e21 @ A_27a )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1475e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1476e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1477e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1478e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1479e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1480e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1481e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1482e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1483e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1484e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1485e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1486e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1487e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1488e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1489e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1490e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1491e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1492e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1493e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1494e20 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1495e21 ) @ V1474l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.83 <=> ? [V1496l_27: $i] :
% 5.55/5.83 ( ( mem @ V1496l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.83 & ? [V1497e1: $i] :
% 5.55/5.83 ( ( mem @ V1497e1 @ A_27a )
% 5.55/5.83 & ? [V1498e2: $i] :
% 5.55/5.83 ( ( mem @ V1498e2 @ A_27a )
% 5.55/5.83 & ? [V1499e3: $i] :
% 5.55/5.83 ( ( mem @ V1499e3 @ A_27a )
% 5.55/5.83 & ? [V1500e4: $i] :
% 5.55/5.83 ( ( mem @ V1500e4 @ A_27a )
% 5.55/5.83 & ? [V1501e5: $i] :
% 5.55/5.83 ( ( mem @ V1501e5 @ A_27a )
% 5.55/5.83 & ? [V1502e6: $i] :
% 5.55/5.83 ( ( mem @ V1502e6 @ A_27a )
% 5.55/5.83 & ? [V1503e7: $i] :
% 5.55/5.83 ( ( mem @ V1503e7 @ A_27a )
% 5.55/5.83 & ? [V1504e8: $i] :
% 5.55/5.83 ( ( mem @ V1504e8 @ A_27a )
% 5.55/5.83 & ? [V1505e9: $i] :
% 5.55/5.83 ( ( mem @ V1505e9 @ A_27a )
% 5.55/5.83 & ? [V1506e10: $i] :
% 5.55/5.83 ( ( mem @ V1506e10 @ A_27a )
% 5.55/5.83 & ? [V1507e11: $i] :
% 5.55/5.83 ( ( mem @ V1507e11 @ A_27a )
% 5.55/5.83 & ? [V1508e12: $i] :
% 5.55/5.83 ( ( mem @ V1508e12 @ A_27a )
% 5.55/5.83 & ? [V1509e13: $i] :
% 5.55/5.83 ( ( mem @ V1509e13 @ A_27a )
% 5.55/5.83 & ? [V1510e14: $i] :
% 5.55/5.83 ( ( mem @ V1510e14 @ A_27a )
% 5.55/5.83 & ? [V1511e15: $i] :
% 5.55/5.83 ( ( mem @ V1511e15 @ A_27a )
% 5.55/5.83 & ? [V1512e16: $i] :
% 5.55/5.83 ( ( mem @ V1512e16 @ A_27a )
% 5.55/5.83 & ? [V1513e17: $i] :
% 5.55/5.83 ( ( mem @ V1513e17 @ A_27a )
% 5.55/5.83 & ? [V1514e18: $i] :
% 5.55/5.83 ( ( mem @ V1514e18 @ A_27a )
% 5.55/5.83 & ? [V1515e19: $i] :
% 5.55/5.83 ( ( mem @ V1515e19 @ A_27a )
% 5.55/5.83 & ? [V1516e20: $i] :
% 5.55/5.83 ( ( mem @ V1516e20 @ A_27a )
% 5.55/5.83 & ? [V1517e21: $i] :
% 5.55/5.83 ( ( mem @ V1517e21 @ A_27a )
% 5.55/5.83 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1496l_27 ) ) )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1497e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1498e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1499e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1500e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1501e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1502e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1503e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1504e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1505e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1506e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1507e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1508e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1509e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1510e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1511e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1512e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1513e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1514e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1515e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1516e20 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1517e21 ) @ V1496l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.83 <=> ? [V1518l_27: $i] :
% 5.55/5.83 ( ( mem @ V1518l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.83 & ? [V1519e1: $i] :
% 5.55/5.83 ( ( mem @ V1519e1 @ A_27a )
% 5.55/5.83 & ? [V1520e2: $i] :
% 5.55/5.83 ( ( mem @ V1520e2 @ A_27a )
% 5.55/5.83 & ? [V1521e3: $i] :
% 5.55/5.83 ( ( mem @ V1521e3 @ A_27a )
% 5.55/5.83 & ? [V1522e4: $i] :
% 5.55/5.83 ( ( mem @ V1522e4 @ A_27a )
% 5.55/5.83 & ? [V1523e5: $i] :
% 5.55/5.83 ( ( mem @ V1523e5 @ A_27a )
% 5.55/5.83 & ? [V1524e6: $i] :
% 5.55/5.83 ( ( mem @ V1524e6 @ A_27a )
% 5.55/5.83 & ? [V1525e7: $i] :
% 5.55/5.83 ( ( mem @ V1525e7 @ A_27a )
% 5.55/5.83 & ? [V1526e8: $i] :
% 5.55/5.83 ( ( mem @ V1526e8 @ A_27a )
% 5.55/5.83 & ? [V1527e9: $i] :
% 5.55/5.83 ( ( mem @ V1527e9 @ A_27a )
% 5.55/5.83 & ? [V1528e10: $i] :
% 5.55/5.83 ( ( mem @ V1528e10 @ A_27a )
% 5.55/5.83 & ? [V1529e11: $i] :
% 5.55/5.83 ( ( mem @ V1529e11 @ A_27a )
% 5.55/5.83 & ? [V1530e12: $i] :
% 5.55/5.83 ( ( mem @ V1530e12 @ A_27a )
% 5.55/5.83 & ? [V1531e13: $i] :
% 5.55/5.83 ( ( mem @ V1531e13 @ A_27a )
% 5.55/5.83 & ? [V1532e14: $i] :
% 5.55/5.83 ( ( mem @ V1532e14 @ A_27a )
% 5.55/5.83 & ? [V1533e15: $i] :
% 5.55/5.83 ( ( mem @ V1533e15 @ A_27a )
% 5.55/5.83 & ? [V1534e16: $i] :
% 5.55/5.83 ( ( mem @ V1534e16 @ A_27a )
% 5.55/5.83 & ? [V1535e17: $i] :
% 5.55/5.83 ( ( mem @ V1535e17 @ A_27a )
% 5.55/5.83 & ? [V1536e18: $i] :
% 5.55/5.83 ( ( mem @ V1536e18 @ A_27a )
% 5.55/5.83 & ? [V1537e19: $i] :
% 5.55/5.83 ( ( mem @ V1537e19 @ A_27a )
% 5.55/5.83 & ? [V1538e20: $i] :
% 5.55/5.83 ( ( mem @ V1538e20 @ A_27a )
% 5.55/5.83 & ? [V1539e21: $i] :
% 5.55/5.83 ( ( mem @ V1539e21 @ A_27a )
% 5.55/5.83 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1518l_27 ) ) )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1519e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1520e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1521e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1522e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1523e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1524e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1525e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1526e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1527e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1528e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1529e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1530e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1531e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1532e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1533e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1534e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1535e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1536e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1537e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1538e20 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1539e21 ) @ V1518l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.83 <=> ? [V1540l_27: $i] :
% 5.55/5.83 ( ( mem @ V1540l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.83 & ? [V1541e1: $i] :
% 5.55/5.83 ( ( mem @ V1541e1 @ A_27a )
% 5.55/5.83 & ? [V1542e2: $i] :
% 5.55/5.83 ( ( mem @ V1542e2 @ A_27a )
% 5.55/5.83 & ? [V1543e3: $i] :
% 5.55/5.83 ( ( mem @ V1543e3 @ A_27a )
% 5.55/5.83 & ? [V1544e4: $i] :
% 5.55/5.83 ( ( mem @ V1544e4 @ A_27a )
% 5.55/5.83 & ? [V1545e5: $i] :
% 5.55/5.83 ( ( mem @ V1545e5 @ A_27a )
% 5.55/5.83 & ? [V1546e6: $i] :
% 5.55/5.83 ( ( mem @ V1546e6 @ A_27a )
% 5.55/5.83 & ? [V1547e7: $i] :
% 5.55/5.83 ( ( mem @ V1547e7 @ A_27a )
% 5.55/5.83 & ? [V1548e8: $i] :
% 5.55/5.83 ( ( mem @ V1548e8 @ A_27a )
% 5.55/5.83 & ? [V1549e9: $i] :
% 5.55/5.83 ( ( mem @ V1549e9 @ A_27a )
% 5.55/5.83 & ? [V1550e10: $i] :
% 5.55/5.83 ( ( mem @ V1550e10 @ A_27a )
% 5.55/5.83 & ? [V1551e11: $i] :
% 5.55/5.83 ( ( mem @ V1551e11 @ A_27a )
% 5.55/5.83 & ? [V1552e12: $i] :
% 5.55/5.83 ( ( mem @ V1552e12 @ A_27a )
% 5.55/5.83 & ? [V1553e13: $i] :
% 5.55/5.83 ( ( mem @ V1553e13 @ A_27a )
% 5.55/5.83 & ? [V1554e14: $i] :
% 5.55/5.83 ( ( mem @ V1554e14 @ A_27a )
% 5.55/5.83 & ? [V1555e15: $i] :
% 5.55/5.83 ( ( mem @ V1555e15 @ A_27a )
% 5.55/5.83 & ? [V1556e16: $i] :
% 5.55/5.83 ( ( mem @ V1556e16 @ A_27a )
% 5.55/5.83 & ? [V1557e17: $i] :
% 5.55/5.83 ( ( mem @ V1557e17 @ A_27a )
% 5.55/5.83 & ? [V1558e18: $i] :
% 5.55/5.83 ( ( mem @ V1558e18 @ A_27a )
% 5.55/5.83 & ? [V1559e19: $i] :
% 5.55/5.83 ( ( mem @ V1559e19 @ A_27a )
% 5.55/5.83 & ? [V1560e20: $i] :
% 5.55/5.83 ( ( mem @ V1560e20 @ A_27a )
% 5.55/5.83 & ? [V1561e21: $i] :
% 5.55/5.83 ( ( mem @ V1561e21 @ A_27a )
% 5.55/5.83 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1540l_27 ) ) )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1541e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1542e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1543e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1544e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1545e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1546e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1547e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1548e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1549e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1550e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1551e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1552e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1553e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1554e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1555e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1556e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1557e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1558e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1559e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1560e20 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1561e21 ) @ V1540l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) )
% 5.55/5.83 <=> ? [V1562l_27: $i] :
% 5.55/5.83 ( ( mem @ V1562l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.83 & ? [V1563e1: $i] :
% 5.55/5.83 ( ( mem @ V1563e1 @ A_27a )
% 5.55/5.83 & ? [V1564e2: $i] :
% 5.55/5.83 ( ( mem @ V1564e2 @ A_27a )
% 5.55/5.83 & ? [V1565e3: $i] :
% 5.55/5.83 ( ( mem @ V1565e3 @ A_27a )
% 5.55/5.83 & ? [V1566e4: $i] :
% 5.55/5.83 ( ( mem @ V1566e4 @ A_27a )
% 5.55/5.83 & ? [V1567e5: $i] :
% 5.55/5.83 ( ( mem @ V1567e5 @ A_27a )
% 5.55/5.83 & ? [V1568e6: $i] :
% 5.55/5.83 ( ( mem @ V1568e6 @ A_27a )
% 5.55/5.83 & ? [V1569e7: $i] :
% 5.55/5.83 ( ( mem @ V1569e7 @ A_27a )
% 5.55/5.83 & ? [V1570e8: $i] :
% 5.55/5.83 ( ( mem @ V1570e8 @ A_27a )
% 5.55/5.83 & ? [V1571e9: $i] :
% 5.55/5.83 ( ( mem @ V1571e9 @ A_27a )
% 5.55/5.83 & ? [V1572e10: $i] :
% 5.55/5.83 ( ( mem @ V1572e10 @ A_27a )
% 5.55/5.83 & ? [V1573e11: $i] :
% 5.55/5.83 ( ( mem @ V1573e11 @ A_27a )
% 5.55/5.83 & ? [V1574e12: $i] :
% 5.55/5.83 ( ( mem @ V1574e12 @ A_27a )
% 5.55/5.83 & ? [V1575e13: $i] :
% 5.55/5.83 ( ( mem @ V1575e13 @ A_27a )
% 5.55/5.83 & ? [V1576e14: $i] :
% 5.55/5.83 ( ( mem @ V1576e14 @ A_27a )
% 5.55/5.83 & ? [V1577e15: $i] :
% 5.55/5.83 ( ( mem @ V1577e15 @ A_27a )
% 5.55/5.83 & ? [V1578e16: $i] :
% 5.55/5.83 ( ( mem @ V1578e16 @ A_27a )
% 5.55/5.83 & ? [V1579e17: $i] :
% 5.55/5.83 ( ( mem @ V1579e17 @ A_27a )
% 5.55/5.83 & ? [V1580e18: $i] :
% 5.55/5.83 ( ( mem @ V1580e18 @ A_27a )
% 5.55/5.83 & ? [V1581e19: $i] :
% 5.55/5.83 ( ( mem @ V1581e19 @ A_27a )
% 5.55/5.83 & ? [V1582e20: $i] :
% 5.55/5.83 ( ( mem @ V1582e20 @ A_27a )
% 5.55/5.83 & ? [V1583e21: $i] :
% 5.55/5.83 ( ( mem @ V1583e21 @ A_27a )
% 5.55/5.83 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1562l_27 ) ) )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1563e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1564e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1565e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1566e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1567e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1568e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1569e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1570e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1571e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1572e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1573e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1574e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1575e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1576e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1577e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1578e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1579e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1580e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1581e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1582e20 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1583e21 ) @ V1562l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.83 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.83 <=> ? [V1584l_27: $i] :
% 5.55/5.83 ( ( mem @ V1584l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.83 & ? [V1585e1: $i] :
% 5.55/5.83 ( ( mem @ V1585e1 @ A_27a )
% 5.55/5.83 & ? [V1586e2: $i] :
% 5.55/5.83 ( ( mem @ V1586e2 @ A_27a )
% 5.55/5.83 & ? [V1587e3: $i] :
% 5.55/5.83 ( ( mem @ V1587e3 @ A_27a )
% 5.55/5.83 & ? [V1588e4: $i] :
% 5.55/5.83 ( ( mem @ V1588e4 @ A_27a )
% 5.55/5.83 & ? [V1589e5: $i] :
% 5.55/5.83 ( ( mem @ V1589e5 @ A_27a )
% 5.55/5.83 & ? [V1590e6: $i] :
% 5.55/5.83 ( ( mem @ V1590e6 @ A_27a )
% 5.55/5.83 & ? [V1591e7: $i] :
% 5.55/5.83 ( ( mem @ V1591e7 @ A_27a )
% 5.55/5.83 & ? [V1592e8: $i] :
% 5.55/5.83 ( ( mem @ V1592e8 @ A_27a )
% 5.55/5.83 & ? [V1593e9: $i] :
% 5.55/5.83 ( ( mem @ V1593e9 @ A_27a )
% 5.55/5.83 & ? [V1594e10: $i] :
% 5.55/5.83 ( ( mem @ V1594e10 @ A_27a )
% 5.55/5.83 & ? [V1595e11: $i] :
% 5.55/5.83 ( ( mem @ V1595e11 @ A_27a )
% 5.55/5.83 & ? [V1596e12: $i] :
% 5.55/5.83 ( ( mem @ V1596e12 @ A_27a )
% 5.55/5.83 & ? [V1597e13: $i] :
% 5.55/5.83 ( ( mem @ V1597e13 @ A_27a )
% 5.55/5.83 & ? [V1598e14: $i] :
% 5.55/5.83 ( ( mem @ V1598e14 @ A_27a )
% 5.55/5.83 & ? [V1599e15: $i] :
% 5.55/5.83 ( ( mem @ V1599e15 @ A_27a )
% 5.55/5.83 & ? [V1600e16: $i] :
% 5.55/5.83 ( ( mem @ V1600e16 @ A_27a )
% 5.55/5.83 & ? [V1601e17: $i] :
% 5.55/5.83 ( ( mem @ V1601e17 @ A_27a )
% 5.55/5.83 & ? [V1602e18: $i] :
% 5.55/5.83 ( ( mem @ V1602e18 @ A_27a )
% 5.55/5.83 & ? [V1603e19: $i] :
% 5.55/5.83 ( ( mem @ V1603e19 @ A_27a )
% 5.55/5.83 & ? [V1604e20: $i] :
% 5.55/5.83 ( ( mem @ V1604e20 @ A_27a )
% 5.55/5.83 & ? [V1605e21: $i] :
% 5.55/5.83 ( ( mem @ V1605e21 @ A_27a )
% 5.55/5.83 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1584l_27 ) )
% 5.55/5.83 = V1x )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1585e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1586e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1587e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1588e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1589e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1590e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1591e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1592e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1593e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1594e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1595e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1596e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1597e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1598e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1599e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1600e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1601e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1602e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1603e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1604e20 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1605e21 ) @ V1584l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.55/5.83 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.83 <=> ? [V1606l_27: $i] :
% 5.55/5.83 ( ( mem @ V1606l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.83 & ? [V1607e1: $i] :
% 5.55/5.83 ( ( mem @ V1607e1 @ A_27a )
% 5.55/5.83 & ? [V1608e2: $i] :
% 5.55/5.83 ( ( mem @ V1608e2 @ A_27a )
% 5.55/5.83 & ? [V1609e3: $i] :
% 5.55/5.83 ( ( mem @ V1609e3 @ A_27a )
% 5.55/5.83 & ? [V1610e4: $i] :
% 5.55/5.83 ( ( mem @ V1610e4 @ A_27a )
% 5.55/5.83 & ? [V1611e5: $i] :
% 5.55/5.83 ( ( mem @ V1611e5 @ A_27a )
% 5.55/5.83 & ? [V1612e6: $i] :
% 5.55/5.83 ( ( mem @ V1612e6 @ A_27a )
% 5.55/5.83 & ? [V1613e7: $i] :
% 5.55/5.83 ( ( mem @ V1613e7 @ A_27a )
% 5.55/5.83 & ? [V1614e8: $i] :
% 5.55/5.83 ( ( mem @ V1614e8 @ A_27a )
% 5.55/5.83 & ? [V1615e9: $i] :
% 5.55/5.83 ( ( mem @ V1615e9 @ A_27a )
% 5.55/5.83 & ? [V1616e10: $i] :
% 5.55/5.83 ( ( mem @ V1616e10 @ A_27a )
% 5.55/5.83 & ? [V1617e11: $i] :
% 5.55/5.83 ( ( mem @ V1617e11 @ A_27a )
% 5.55/5.83 & ? [V1618e12: $i] :
% 5.55/5.83 ( ( mem @ V1618e12 @ A_27a )
% 5.55/5.83 & ? [V1619e13: $i] :
% 5.55/5.83 ( ( mem @ V1619e13 @ A_27a )
% 5.55/5.83 & ? [V1620e14: $i] :
% 5.55/5.83 ( ( mem @ V1620e14 @ A_27a )
% 5.55/5.83 & ? [V1621e15: $i] :
% 5.55/5.83 ( ( mem @ V1621e15 @ A_27a )
% 5.55/5.83 & ? [V1622e16: $i] :
% 5.55/5.83 ( ( mem @ V1622e16 @ A_27a )
% 5.55/5.83 & ? [V1623e17: $i] :
% 5.55/5.83 ( ( mem @ V1623e17 @ A_27a )
% 5.55/5.83 & ? [V1624e18: $i] :
% 5.55/5.83 ( ( mem @ V1624e18 @ A_27a )
% 5.55/5.83 & ? [V1625e19: $i] :
% 5.55/5.83 ( ( mem @ V1625e19 @ A_27a )
% 5.55/5.83 & ? [V1626e20: $i] :
% 5.55/5.83 ( ( mem @ V1626e20 @ A_27a )
% 5.55/5.83 & ? [V1627e21: $i] :
% 5.55/5.83 ( ( mem @ V1627e21 @ A_27a )
% 5.55/5.83 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1606l_27 ) )
% 5.55/5.83 = V1x )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1607e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1608e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1609e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1610e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1611e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1612e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1613e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1614e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1615e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1616e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1617e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1618e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1619e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1620e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1621e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1622e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1623e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1624e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1625e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1626e20 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1627e21 ) @ V1606l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.83 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) )
% 5.55/5.83 <=> ? [V1628l_27: $i] :
% 5.55/5.83 ( ( mem @ V1628l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.83 & ? [V1629e1: $i] :
% 5.55/5.83 ( ( mem @ V1629e1 @ A_27a )
% 5.55/5.83 & ? [V1630e2: $i] :
% 5.55/5.83 ( ( mem @ V1630e2 @ A_27a )
% 5.55/5.83 & ? [V1631e3: $i] :
% 5.55/5.83 ( ( mem @ V1631e3 @ A_27a )
% 5.55/5.83 & ? [V1632e4: $i] :
% 5.55/5.83 ( ( mem @ V1632e4 @ A_27a )
% 5.55/5.83 & ? [V1633e5: $i] :
% 5.55/5.83 ( ( mem @ V1633e5 @ A_27a )
% 5.55/5.83 & ? [V1634e6: $i] :
% 5.55/5.83 ( ( mem @ V1634e6 @ A_27a )
% 5.55/5.83 & ? [V1635e7: $i] :
% 5.55/5.83 ( ( mem @ V1635e7 @ A_27a )
% 5.55/5.83 & ? [V1636e8: $i] :
% 5.55/5.83 ( ( mem @ V1636e8 @ A_27a )
% 5.55/5.83 & ? [V1637e9: $i] :
% 5.55/5.83 ( ( mem @ V1637e9 @ A_27a )
% 5.55/5.83 & ? [V1638e10: $i] :
% 5.55/5.83 ( ( mem @ V1638e10 @ A_27a )
% 5.55/5.83 & ? [V1639e11: $i] :
% 5.55/5.83 ( ( mem @ V1639e11 @ A_27a )
% 5.55/5.83 & ? [V1640e12: $i] :
% 5.55/5.83 ( ( mem @ V1640e12 @ A_27a )
% 5.55/5.83 & ? [V1641e13: $i] :
% 5.55/5.83 ( ( mem @ V1641e13 @ A_27a )
% 5.55/5.83 & ? [V1642e14: $i] :
% 5.55/5.83 ( ( mem @ V1642e14 @ A_27a )
% 5.55/5.83 & ? [V1643e15: $i] :
% 5.55/5.83 ( ( mem @ V1643e15 @ A_27a )
% 5.55/5.83 & ? [V1644e16: $i] :
% 5.55/5.83 ( ( mem @ V1644e16 @ A_27a )
% 5.55/5.83 & ? [V1645e17: $i] :
% 5.55/5.83 ( ( mem @ V1645e17 @ A_27a )
% 5.55/5.83 & ? [V1646e18: $i] :
% 5.55/5.83 ( ( mem @ V1646e18 @ A_27a )
% 5.55/5.83 & ? [V1647e19: $i] :
% 5.55/5.83 ( ( mem @ V1647e19 @ A_27a )
% 5.55/5.83 & ? [V1648e20: $i] :
% 5.55/5.83 ( ( mem @ V1648e20 @ A_27a )
% 5.55/5.83 & ? [V1649e21: $i] :
% 5.55/5.83 ( ( mem @ V1649e21 @ A_27a )
% 5.55/5.83 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1628l_27 ) )
% 5.55/5.83 = V1x )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1629e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1630e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1631e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1632e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1633e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1634e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1635e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1636e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1637e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1638e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1639e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1640e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1641e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1642e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1643e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1644e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1645e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1646e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1647e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1648e20 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1649e21 ) @ V1628l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.83 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.83 <=> ? [V1650l_27: $i] :
% 5.55/5.83 ( ( mem @ V1650l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.83 & ? [V1651e1: $i] :
% 5.55/5.83 ( ( mem @ V1651e1 @ A_27a )
% 5.55/5.83 & ? [V1652e2: $i] :
% 5.55/5.83 ( ( mem @ V1652e2 @ A_27a )
% 5.55/5.83 & ? [V1653e3: $i] :
% 5.55/5.83 ( ( mem @ V1653e3 @ A_27a )
% 5.55/5.83 & ? [V1654e4: $i] :
% 5.55/5.83 ( ( mem @ V1654e4 @ A_27a )
% 5.55/5.83 & ? [V1655e5: $i] :
% 5.55/5.83 ( ( mem @ V1655e5 @ A_27a )
% 5.55/5.83 & ? [V1656e6: $i] :
% 5.55/5.83 ( ( mem @ V1656e6 @ A_27a )
% 5.55/5.83 & ? [V1657e7: $i] :
% 5.55/5.83 ( ( mem @ V1657e7 @ A_27a )
% 5.55/5.83 & ? [V1658e8: $i] :
% 5.55/5.83 ( ( mem @ V1658e8 @ A_27a )
% 5.55/5.83 & ? [V1659e9: $i] :
% 5.55/5.83 ( ( mem @ V1659e9 @ A_27a )
% 5.55/5.83 & ? [V1660e10: $i] :
% 5.55/5.83 ( ( mem @ V1660e10 @ A_27a )
% 5.55/5.83 & ? [V1661e11: $i] :
% 5.55/5.83 ( ( mem @ V1661e11 @ A_27a )
% 5.55/5.83 & ? [V1662e12: $i] :
% 5.55/5.83 ( ( mem @ V1662e12 @ A_27a )
% 5.55/5.83 & ? [V1663e13: $i] :
% 5.55/5.83 ( ( mem @ V1663e13 @ A_27a )
% 5.55/5.83 & ? [V1664e14: $i] :
% 5.55/5.83 ( ( mem @ V1664e14 @ A_27a )
% 5.55/5.83 & ? [V1665e15: $i] :
% 5.55/5.83 ( ( mem @ V1665e15 @ A_27a )
% 5.55/5.83 & ? [V1666e16: $i] :
% 5.55/5.83 ( ( mem @ V1666e16 @ A_27a )
% 5.55/5.83 & ? [V1667e17: $i] :
% 5.55/5.83 ( ( mem @ V1667e17 @ A_27a )
% 5.55/5.83 & ? [V1668e18: $i] :
% 5.55/5.83 ( ( mem @ V1668e18 @ A_27a )
% 5.55/5.83 & ? [V1669e19: $i] :
% 5.55/5.83 ( ( mem @ V1669e19 @ A_27a )
% 5.55/5.83 & ? [V1670e20: $i] :
% 5.55/5.83 ( ( mem @ V1670e20 @ A_27a )
% 5.55/5.83 & ? [V1671e21: $i] :
% 5.55/5.83 ( ( mem @ V1671e21 @ A_27a )
% 5.55/5.83 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1650l_27 ) )
% 5.55/5.83 = V1x )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1651e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1652e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1653e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1654e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1655e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1656e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1657e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1658e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1659e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1660e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1661e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1662e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1663e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1664e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1665e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1666e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1667e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1668e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1669e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1670e20 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1671e21 ) @ V1650l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.83 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.83 <=> ? [V1672e1: $i] :
% 5.55/5.83 ( ( mem @ V1672e1 @ A_27a )
% 5.55/5.83 & ? [V1673e2: $i] :
% 5.55/5.83 ( ( mem @ V1673e2 @ A_27a )
% 5.55/5.83 & ? [V1674e3: $i] :
% 5.55/5.83 ( ( mem @ V1674e3 @ A_27a )
% 5.55/5.83 & ? [V1675e4: $i] :
% 5.55/5.83 ( ( mem @ V1675e4 @ A_27a )
% 5.55/5.83 & ? [V1676e5: $i] :
% 5.55/5.83 ( ( mem @ V1676e5 @ A_27a )
% 5.55/5.83 & ? [V1677e6: $i] :
% 5.55/5.83 ( ( mem @ V1677e6 @ A_27a )
% 5.55/5.83 & ? [V1678e7: $i] :
% 5.55/5.83 ( ( mem @ V1678e7 @ A_27a )
% 5.55/5.83 & ? [V1679e8: $i] :
% 5.55/5.83 ( ( mem @ V1679e8 @ A_27a )
% 5.55/5.83 & ? [V1680e9: $i] :
% 5.55/5.83 ( ( mem @ V1680e9 @ A_27a )
% 5.55/5.83 & ? [V1681e10: $i] :
% 5.55/5.83 ( ( mem @ V1681e10 @ A_27a )
% 5.55/5.83 & ? [V1682e11: $i] :
% 5.55/5.83 ( ( mem @ V1682e11 @ A_27a )
% 5.55/5.83 & ? [V1683e12: $i] :
% 5.55/5.83 ( ( mem @ V1683e12 @ A_27a )
% 5.55/5.83 & ? [V1684e13: $i] :
% 5.55/5.83 ( ( mem @ V1684e13 @ A_27a )
% 5.55/5.83 & ? [V1685e14: $i] :
% 5.55/5.83 ( ( mem @ V1685e14 @ A_27a )
% 5.55/5.83 & ? [V1686e15: $i] :
% 5.55/5.83 ( ( mem @ V1686e15 @ A_27a )
% 5.55/5.83 & ? [V1687e16: $i] :
% 5.55/5.83 ( ( mem @ V1687e16 @ A_27a )
% 5.55/5.83 & ? [V1688e17: $i] :
% 5.55/5.83 ( ( mem @ V1688e17 @ A_27a )
% 5.55/5.83 & ? [V1689e18: $i] :
% 5.55/5.83 ( ( mem @ V1689e18 @ A_27a )
% 5.55/5.83 & ? [V1690e19: $i] :
% 5.55/5.83 ( ( mem @ V1690e19 @ A_27a )
% 5.55/5.83 & ? [V1691e20: $i] :
% 5.55/5.83 ( ( mem @ V1691e20 @ A_27a )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1672e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1673e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1674e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1675e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1676e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1677e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1678e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1679e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1680e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1681e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1682e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1683e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1684e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1685e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1686e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1687e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1688e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1689e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1690e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1691e20 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.83 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.83 <=> ? [V1692e1: $i] :
% 5.55/5.83 ( ( mem @ V1692e1 @ A_27a )
% 5.55/5.83 & ? [V1693e2: $i] :
% 5.55/5.83 ( ( mem @ V1693e2 @ A_27a )
% 5.55/5.83 & ? [V1694e3: $i] :
% 5.55/5.83 ( ( mem @ V1694e3 @ A_27a )
% 5.55/5.83 & ? [V1695e4: $i] :
% 5.55/5.83 ( ( mem @ V1695e4 @ A_27a )
% 5.55/5.83 & ? [V1696e5: $i] :
% 5.55/5.83 ( ( mem @ V1696e5 @ A_27a )
% 5.55/5.83 & ? [V1697e6: $i] :
% 5.55/5.83 ( ( mem @ V1697e6 @ A_27a )
% 5.55/5.83 & ? [V1698e7: $i] :
% 5.55/5.83 ( ( mem @ V1698e7 @ A_27a )
% 5.55/5.83 & ? [V1699e8: $i] :
% 5.55/5.83 ( ( mem @ V1699e8 @ A_27a )
% 5.55/5.83 & ? [V1700e9: $i] :
% 5.55/5.83 ( ( mem @ V1700e9 @ A_27a )
% 5.55/5.83 & ? [V1701e10: $i] :
% 5.55/5.83 ( ( mem @ V1701e10 @ A_27a )
% 5.55/5.83 & ? [V1702e11: $i] :
% 5.55/5.83 ( ( mem @ V1702e11 @ A_27a )
% 5.55/5.83 & ? [V1703e12: $i] :
% 5.55/5.83 ( ( mem @ V1703e12 @ A_27a )
% 5.55/5.83 & ? [V1704e13: $i] :
% 5.55/5.83 ( ( mem @ V1704e13 @ A_27a )
% 5.55/5.83 & ? [V1705e14: $i] :
% 5.55/5.83 ( ( mem @ V1705e14 @ A_27a )
% 5.55/5.83 & ? [V1706e15: $i] :
% 5.55/5.83 ( ( mem @ V1706e15 @ A_27a )
% 5.55/5.83 & ? [V1707e16: $i] :
% 5.55/5.83 ( ( mem @ V1707e16 @ A_27a )
% 5.55/5.83 & ? [V1708e17: $i] :
% 5.55/5.83 ( ( mem @ V1708e17 @ A_27a )
% 5.55/5.83 & ? [V1709e18: $i] :
% 5.55/5.83 ( ( mem @ V1709e18 @ A_27a )
% 5.55/5.83 & ? [V1710e19: $i] :
% 5.55/5.83 ( ( mem @ V1710e19 @ A_27a )
% 5.55/5.83 & ? [V1711e20: $i] :
% 5.55/5.83 ( ( mem @ V1711e20 @ A_27a )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1692e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1693e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1694e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1695e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1696e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1697e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1698e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1699e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1700e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1701e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1702e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1703e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1704e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1705e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1706e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1707e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1708e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1709e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1710e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1711e20 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.83 <=> ? [V1712l_27: $i] :
% 5.55/5.83 ( ( mem @ V1712l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.83 & ? [V1713e1: $i] :
% 5.55/5.83 ( ( mem @ V1713e1 @ A_27a )
% 5.55/5.83 & ? [V1714e2: $i] :
% 5.55/5.83 ( ( mem @ V1714e2 @ A_27a )
% 5.55/5.83 & ? [V1715e3: $i] :
% 5.55/5.83 ( ( mem @ V1715e3 @ A_27a )
% 5.55/5.83 & ? [V1716e4: $i] :
% 5.55/5.83 ( ( mem @ V1716e4 @ A_27a )
% 5.55/5.83 & ? [V1717e5: $i] :
% 5.55/5.83 ( ( mem @ V1717e5 @ A_27a )
% 5.55/5.83 & ? [V1718e6: $i] :
% 5.55/5.83 ( ( mem @ V1718e6 @ A_27a )
% 5.55/5.83 & ? [V1719e7: $i] :
% 5.55/5.83 ( ( mem @ V1719e7 @ A_27a )
% 5.55/5.83 & ? [V1720e8: $i] :
% 5.55/5.83 ( ( mem @ V1720e8 @ A_27a )
% 5.55/5.83 & ? [V1721e9: $i] :
% 5.55/5.83 ( ( mem @ V1721e9 @ A_27a )
% 5.55/5.83 & ? [V1722e10: $i] :
% 5.55/5.83 ( ( mem @ V1722e10 @ A_27a )
% 5.55/5.83 & ? [V1723e11: $i] :
% 5.55/5.83 ( ( mem @ V1723e11 @ A_27a )
% 5.55/5.83 & ? [V1724e12: $i] :
% 5.55/5.83 ( ( mem @ V1724e12 @ A_27a )
% 5.55/5.83 & ? [V1725e13: $i] :
% 5.55/5.83 ( ( mem @ V1725e13 @ A_27a )
% 5.55/5.83 & ? [V1726e14: $i] :
% 5.55/5.83 ( ( mem @ V1726e14 @ A_27a )
% 5.55/5.83 & ? [V1727e15: $i] :
% 5.55/5.83 ( ( mem @ V1727e15 @ A_27a )
% 5.55/5.83 & ? [V1728e16: $i] :
% 5.55/5.83 ( ( mem @ V1728e16 @ A_27a )
% 5.55/5.83 & ? [V1729e17: $i] :
% 5.55/5.83 ( ( mem @ V1729e17 @ A_27a )
% 5.55/5.83 & ? [V1730e18: $i] :
% 5.55/5.83 ( ( mem @ V1730e18 @ A_27a )
% 5.55/5.83 & ? [V1731e19: $i] :
% 5.55/5.83 ( ( mem @ V1731e19 @ A_27a )
% 5.55/5.83 & ? [V1732e20: $i] :
% 5.55/5.83 ( ( mem @ V1732e20 @ A_27a )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1713e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1714e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1715e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1716e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1717e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1718e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1719e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1720e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1721e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1722e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1723e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1724e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1725e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1726e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1727e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1728e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1729e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1730e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1731e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1732e20 ) @ V1712l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.83 <=> ? [V1733l_27: $i] :
% 5.55/5.83 ( ( mem @ V1733l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.83 & ? [V1734e1: $i] :
% 5.55/5.83 ( ( mem @ V1734e1 @ A_27a )
% 5.55/5.83 & ? [V1735e2: $i] :
% 5.55/5.83 ( ( mem @ V1735e2 @ A_27a )
% 5.55/5.83 & ? [V1736e3: $i] :
% 5.55/5.83 ( ( mem @ V1736e3 @ A_27a )
% 5.55/5.83 & ? [V1737e4: $i] :
% 5.55/5.83 ( ( mem @ V1737e4 @ A_27a )
% 5.55/5.83 & ? [V1738e5: $i] :
% 5.55/5.83 ( ( mem @ V1738e5 @ A_27a )
% 5.55/5.83 & ? [V1739e6: $i] :
% 5.55/5.83 ( ( mem @ V1739e6 @ A_27a )
% 5.55/5.83 & ? [V1740e7: $i] :
% 5.55/5.83 ( ( mem @ V1740e7 @ A_27a )
% 5.55/5.83 & ? [V1741e8: $i] :
% 5.55/5.83 ( ( mem @ V1741e8 @ A_27a )
% 5.55/5.83 & ? [V1742e9: $i] :
% 5.55/5.83 ( ( mem @ V1742e9 @ A_27a )
% 5.55/5.83 & ? [V1743e10: $i] :
% 5.55/5.83 ( ( mem @ V1743e10 @ A_27a )
% 5.55/5.83 & ? [V1744e11: $i] :
% 5.55/5.83 ( ( mem @ V1744e11 @ A_27a )
% 5.55/5.83 & ? [V1745e12: $i] :
% 5.55/5.83 ( ( mem @ V1745e12 @ A_27a )
% 5.55/5.83 & ? [V1746e13: $i] :
% 5.55/5.83 ( ( mem @ V1746e13 @ A_27a )
% 5.55/5.83 & ? [V1747e14: $i] :
% 5.55/5.83 ( ( mem @ V1747e14 @ A_27a )
% 5.55/5.83 & ? [V1748e15: $i] :
% 5.55/5.83 ( ( mem @ V1748e15 @ A_27a )
% 5.55/5.83 & ? [V1749e16: $i] :
% 5.55/5.83 ( ( mem @ V1749e16 @ A_27a )
% 5.55/5.83 & ? [V1750e17: $i] :
% 5.55/5.83 ( ( mem @ V1750e17 @ A_27a )
% 5.55/5.83 & ? [V1751e18: $i] :
% 5.55/5.83 ( ( mem @ V1751e18 @ A_27a )
% 5.55/5.83 & ? [V1752e19: $i] :
% 5.55/5.83 ( ( mem @ V1752e19 @ A_27a )
% 5.55/5.83 & ? [V1753e20: $i] :
% 5.55/5.83 ( ( mem @ V1753e20 @ A_27a )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1734e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1735e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1736e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1737e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1738e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1739e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1740e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1741e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1742e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1743e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1744e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1745e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1746e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1747e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1748e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1749e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1750e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1751e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1752e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1753e20 ) @ V1733l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.83 <=> ? [V1754l_27: $i] :
% 5.55/5.83 ( ( mem @ V1754l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.83 & ? [V1755e1: $i] :
% 5.55/5.83 ( ( mem @ V1755e1 @ A_27a )
% 5.55/5.83 & ? [V1756e2: $i] :
% 5.55/5.83 ( ( mem @ V1756e2 @ A_27a )
% 5.55/5.83 & ? [V1757e3: $i] :
% 5.55/5.83 ( ( mem @ V1757e3 @ A_27a )
% 5.55/5.83 & ? [V1758e4: $i] :
% 5.55/5.83 ( ( mem @ V1758e4 @ A_27a )
% 5.55/5.83 & ? [V1759e5: $i] :
% 5.55/5.83 ( ( mem @ V1759e5 @ A_27a )
% 5.55/5.83 & ? [V1760e6: $i] :
% 5.55/5.83 ( ( mem @ V1760e6 @ A_27a )
% 5.55/5.83 & ? [V1761e7: $i] :
% 5.55/5.83 ( ( mem @ V1761e7 @ A_27a )
% 5.55/5.83 & ? [V1762e8: $i] :
% 5.55/5.83 ( ( mem @ V1762e8 @ A_27a )
% 5.55/5.83 & ? [V1763e9: $i] :
% 5.55/5.83 ( ( mem @ V1763e9 @ A_27a )
% 5.55/5.83 & ? [V1764e10: $i] :
% 5.55/5.83 ( ( mem @ V1764e10 @ A_27a )
% 5.55/5.83 & ? [V1765e11: $i] :
% 5.55/5.83 ( ( mem @ V1765e11 @ A_27a )
% 5.55/5.83 & ? [V1766e12: $i] :
% 5.55/5.83 ( ( mem @ V1766e12 @ A_27a )
% 5.55/5.83 & ? [V1767e13: $i] :
% 5.55/5.83 ( ( mem @ V1767e13 @ A_27a )
% 5.55/5.83 & ? [V1768e14: $i] :
% 5.55/5.83 ( ( mem @ V1768e14 @ A_27a )
% 5.55/5.83 & ? [V1769e15: $i] :
% 5.55/5.83 ( ( mem @ V1769e15 @ A_27a )
% 5.55/5.83 & ? [V1770e16: $i] :
% 5.55/5.83 ( ( mem @ V1770e16 @ A_27a )
% 5.55/5.83 & ? [V1771e17: $i] :
% 5.55/5.83 ( ( mem @ V1771e17 @ A_27a )
% 5.55/5.83 & ? [V1772e18: $i] :
% 5.55/5.83 ( ( mem @ V1772e18 @ A_27a )
% 5.55/5.83 & ? [V1773e19: $i] :
% 5.55/5.83 ( ( mem @ V1773e19 @ A_27a )
% 5.55/5.83 & ? [V1774e20: $i] :
% 5.55/5.83 ( ( mem @ V1774e20 @ A_27a )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1755e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1756e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1757e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1758e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1759e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1760e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1761e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1762e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1763e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1764e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1765e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1766e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1767e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1768e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1769e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1770e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1771e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1772e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1773e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1774e20 ) @ V1754l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.83 <=> ? [V1775l_27: $i] :
% 5.55/5.83 ( ( mem @ V1775l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.83 & ? [V1776e1: $i] :
% 5.55/5.83 ( ( mem @ V1776e1 @ A_27a )
% 5.55/5.83 & ? [V1777e2: $i] :
% 5.55/5.83 ( ( mem @ V1777e2 @ A_27a )
% 5.55/5.83 & ? [V1778e3: $i] :
% 5.55/5.83 ( ( mem @ V1778e3 @ A_27a )
% 5.55/5.83 & ? [V1779e4: $i] :
% 5.55/5.83 ( ( mem @ V1779e4 @ A_27a )
% 5.55/5.83 & ? [V1780e5: $i] :
% 5.55/5.83 ( ( mem @ V1780e5 @ A_27a )
% 5.55/5.83 & ? [V1781e6: $i] :
% 5.55/5.83 ( ( mem @ V1781e6 @ A_27a )
% 5.55/5.83 & ? [V1782e7: $i] :
% 5.55/5.83 ( ( mem @ V1782e7 @ A_27a )
% 5.55/5.83 & ? [V1783e8: $i] :
% 5.55/5.83 ( ( mem @ V1783e8 @ A_27a )
% 5.55/5.83 & ? [V1784e9: $i] :
% 5.55/5.83 ( ( mem @ V1784e9 @ A_27a )
% 5.55/5.83 & ? [V1785e10: $i] :
% 5.55/5.83 ( ( mem @ V1785e10 @ A_27a )
% 5.55/5.83 & ? [V1786e11: $i] :
% 5.55/5.83 ( ( mem @ V1786e11 @ A_27a )
% 5.55/5.83 & ? [V1787e12: $i] :
% 5.55/5.83 ( ( mem @ V1787e12 @ A_27a )
% 5.55/5.83 & ? [V1788e13: $i] :
% 5.55/5.83 ( ( mem @ V1788e13 @ A_27a )
% 5.55/5.83 & ? [V1789e14: $i] :
% 5.55/5.83 ( ( mem @ V1789e14 @ A_27a )
% 5.55/5.83 & ? [V1790e15: $i] :
% 5.55/5.83 ( ( mem @ V1790e15 @ A_27a )
% 5.55/5.83 & ? [V1791e16: $i] :
% 5.55/5.83 ( ( mem @ V1791e16 @ A_27a )
% 5.55/5.83 & ? [V1792e17: $i] :
% 5.55/5.83 ( ( mem @ V1792e17 @ A_27a )
% 5.55/5.83 & ? [V1793e18: $i] :
% 5.55/5.83 ( ( mem @ V1793e18 @ A_27a )
% 5.55/5.83 & ? [V1794e19: $i] :
% 5.55/5.83 ( ( mem @ V1794e19 @ A_27a )
% 5.55/5.83 & ? [V1795e20: $i] :
% 5.55/5.83 ( ( mem @ V1795e20 @ A_27a )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1776e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1777e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1778e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1779e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1780e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1781e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1782e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1783e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1784e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1785e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1786e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1787e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1788e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1789e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1790e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1791e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1792e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1793e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1794e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1795e20 ) @ V1775l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.83 <=> ? [V1796l_27: $i] :
% 5.55/5.83 ( ( mem @ V1796l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.83 & ? [V1797e1: $i] :
% 5.55/5.83 ( ( mem @ V1797e1 @ A_27a )
% 5.55/5.83 & ? [V1798e2: $i] :
% 5.55/5.83 ( ( mem @ V1798e2 @ A_27a )
% 5.55/5.83 & ? [V1799e3: $i] :
% 5.55/5.83 ( ( mem @ V1799e3 @ A_27a )
% 5.55/5.83 & ? [V1800e4: $i] :
% 5.55/5.83 ( ( mem @ V1800e4 @ A_27a )
% 5.55/5.83 & ? [V1801e5: $i] :
% 5.55/5.83 ( ( mem @ V1801e5 @ A_27a )
% 5.55/5.83 & ? [V1802e6: $i] :
% 5.55/5.83 ( ( mem @ V1802e6 @ A_27a )
% 5.55/5.83 & ? [V1803e7: $i] :
% 5.55/5.83 ( ( mem @ V1803e7 @ A_27a )
% 5.55/5.83 & ? [V1804e8: $i] :
% 5.55/5.83 ( ( mem @ V1804e8 @ A_27a )
% 5.55/5.83 & ? [V1805e9: $i] :
% 5.55/5.83 ( ( mem @ V1805e9 @ A_27a )
% 5.55/5.83 & ? [V1806e10: $i] :
% 5.55/5.83 ( ( mem @ V1806e10 @ A_27a )
% 5.55/5.83 & ? [V1807e11: $i] :
% 5.55/5.83 ( ( mem @ V1807e11 @ A_27a )
% 5.55/5.83 & ? [V1808e12: $i] :
% 5.55/5.83 ( ( mem @ V1808e12 @ A_27a )
% 5.55/5.83 & ? [V1809e13: $i] :
% 5.55/5.83 ( ( mem @ V1809e13 @ A_27a )
% 5.55/5.83 & ? [V1810e14: $i] :
% 5.55/5.83 ( ( mem @ V1810e14 @ A_27a )
% 5.55/5.83 & ? [V1811e15: $i] :
% 5.55/5.83 ( ( mem @ V1811e15 @ A_27a )
% 5.55/5.83 & ? [V1812e16: $i] :
% 5.55/5.83 ( ( mem @ V1812e16 @ A_27a )
% 5.55/5.83 & ? [V1813e17: $i] :
% 5.55/5.83 ( ( mem @ V1813e17 @ A_27a )
% 5.55/5.83 & ? [V1814e18: $i] :
% 5.55/5.83 ( ( mem @ V1814e18 @ A_27a )
% 5.55/5.83 & ? [V1815e19: $i] :
% 5.55/5.83 ( ( mem @ V1815e19 @ A_27a )
% 5.55/5.83 & ? [V1816e20: $i] :
% 5.55/5.83 ( ( mem @ V1816e20 @ A_27a )
% 5.55/5.83 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1796l_27 ) ) )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1797e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1798e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1799e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1800e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1801e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1802e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1803e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1804e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1805e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1806e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1807e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1808e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1809e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1810e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1811e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1812e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1813e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1814e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1815e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1816e20 ) @ V1796l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.83 <=> ? [V1817l_27: $i] :
% 5.55/5.83 ( ( mem @ V1817l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.83 & ? [V1818e1: $i] :
% 5.55/5.83 ( ( mem @ V1818e1 @ A_27a )
% 5.55/5.83 & ? [V1819e2: $i] :
% 5.55/5.83 ( ( mem @ V1819e2 @ A_27a )
% 5.55/5.83 & ? [V1820e3: $i] :
% 5.55/5.83 ( ( mem @ V1820e3 @ A_27a )
% 5.55/5.83 & ? [V1821e4: $i] :
% 5.55/5.83 ( ( mem @ V1821e4 @ A_27a )
% 5.55/5.83 & ? [V1822e5: $i] :
% 5.55/5.83 ( ( mem @ V1822e5 @ A_27a )
% 5.55/5.83 & ? [V1823e6: $i] :
% 5.55/5.83 ( ( mem @ V1823e6 @ A_27a )
% 5.55/5.83 & ? [V1824e7: $i] :
% 5.55/5.83 ( ( mem @ V1824e7 @ A_27a )
% 5.55/5.83 & ? [V1825e8: $i] :
% 5.55/5.83 ( ( mem @ V1825e8 @ A_27a )
% 5.55/5.83 & ? [V1826e9: $i] :
% 5.55/5.83 ( ( mem @ V1826e9 @ A_27a )
% 5.55/5.83 & ? [V1827e10: $i] :
% 5.55/5.83 ( ( mem @ V1827e10 @ A_27a )
% 5.55/5.83 & ? [V1828e11: $i] :
% 5.55/5.83 ( ( mem @ V1828e11 @ A_27a )
% 5.55/5.83 & ? [V1829e12: $i] :
% 5.55/5.83 ( ( mem @ V1829e12 @ A_27a )
% 5.55/5.83 & ? [V1830e13: $i] :
% 5.55/5.83 ( ( mem @ V1830e13 @ A_27a )
% 5.55/5.83 & ? [V1831e14: $i] :
% 5.55/5.83 ( ( mem @ V1831e14 @ A_27a )
% 5.55/5.83 & ? [V1832e15: $i] :
% 5.55/5.83 ( ( mem @ V1832e15 @ A_27a )
% 5.55/5.83 & ? [V1833e16: $i] :
% 5.55/5.83 ( ( mem @ V1833e16 @ A_27a )
% 5.55/5.83 & ? [V1834e17: $i] :
% 5.55/5.83 ( ( mem @ V1834e17 @ A_27a )
% 5.55/5.83 & ? [V1835e18: $i] :
% 5.55/5.83 ( ( mem @ V1835e18 @ A_27a )
% 5.55/5.83 & ? [V1836e19: $i] :
% 5.55/5.83 ( ( mem @ V1836e19 @ A_27a )
% 5.55/5.83 & ? [V1837e20: $i] :
% 5.55/5.83 ( ( mem @ V1837e20 @ A_27a )
% 5.55/5.83 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1817l_27 ) ) )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1818e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1819e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1820e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1821e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1822e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1823e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1824e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1825e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1826e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1827e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1828e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1829e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1830e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1831e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1832e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1833e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1834e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1835e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1836e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1837e20 ) @ V1817l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.83 <=> ? [V1838l_27: $i] :
% 5.55/5.83 ( ( mem @ V1838l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.83 & ? [V1839e1: $i] :
% 5.55/5.83 ( ( mem @ V1839e1 @ A_27a )
% 5.55/5.83 & ? [V1840e2: $i] :
% 5.55/5.83 ( ( mem @ V1840e2 @ A_27a )
% 5.55/5.83 & ? [V1841e3: $i] :
% 5.55/5.83 ( ( mem @ V1841e3 @ A_27a )
% 5.55/5.83 & ? [V1842e4: $i] :
% 5.55/5.83 ( ( mem @ V1842e4 @ A_27a )
% 5.55/5.83 & ? [V1843e5: $i] :
% 5.55/5.83 ( ( mem @ V1843e5 @ A_27a )
% 5.55/5.83 & ? [V1844e6: $i] :
% 5.55/5.83 ( ( mem @ V1844e6 @ A_27a )
% 5.55/5.83 & ? [V1845e7: $i] :
% 5.55/5.83 ( ( mem @ V1845e7 @ A_27a )
% 5.55/5.83 & ? [V1846e8: $i] :
% 5.55/5.83 ( ( mem @ V1846e8 @ A_27a )
% 5.55/5.83 & ? [V1847e9: $i] :
% 5.55/5.83 ( ( mem @ V1847e9 @ A_27a )
% 5.55/5.83 & ? [V1848e10: $i] :
% 5.55/5.83 ( ( mem @ V1848e10 @ A_27a )
% 5.55/5.83 & ? [V1849e11: $i] :
% 5.55/5.83 ( ( mem @ V1849e11 @ A_27a )
% 5.55/5.83 & ? [V1850e12: $i] :
% 5.55/5.83 ( ( mem @ V1850e12 @ A_27a )
% 5.55/5.83 & ? [V1851e13: $i] :
% 5.55/5.83 ( ( mem @ V1851e13 @ A_27a )
% 5.55/5.83 & ? [V1852e14: $i] :
% 5.55/5.83 ( ( mem @ V1852e14 @ A_27a )
% 5.55/5.83 & ? [V1853e15: $i] :
% 5.55/5.83 ( ( mem @ V1853e15 @ A_27a )
% 5.55/5.83 & ? [V1854e16: $i] :
% 5.55/5.83 ( ( mem @ V1854e16 @ A_27a )
% 5.55/5.83 & ? [V1855e17: $i] :
% 5.55/5.83 ( ( mem @ V1855e17 @ A_27a )
% 5.55/5.83 & ? [V1856e18: $i] :
% 5.55/5.83 ( ( mem @ V1856e18 @ A_27a )
% 5.55/5.83 & ? [V1857e19: $i] :
% 5.55/5.83 ( ( mem @ V1857e19 @ A_27a )
% 5.55/5.83 & ? [V1858e20: $i] :
% 5.55/5.83 ( ( mem @ V1858e20 @ A_27a )
% 5.55/5.83 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1838l_27 ) ) )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1839e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1840e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1841e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1842e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1843e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1844e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1845e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1846e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1847e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1848e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1849e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1850e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1851e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1852e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1853e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1854e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1855e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1856e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1857e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1858e20 ) @ V1838l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) )
% 5.55/5.83 <=> ? [V1859l_27: $i] :
% 5.55/5.83 ( ( mem @ V1859l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.83 & ? [V1860e1: $i] :
% 5.55/5.83 ( ( mem @ V1860e1 @ A_27a )
% 5.55/5.83 & ? [V1861e2: $i] :
% 5.55/5.83 ( ( mem @ V1861e2 @ A_27a )
% 5.55/5.83 & ? [V1862e3: $i] :
% 5.55/5.83 ( ( mem @ V1862e3 @ A_27a )
% 5.55/5.83 & ? [V1863e4: $i] :
% 5.55/5.83 ( ( mem @ V1863e4 @ A_27a )
% 5.55/5.83 & ? [V1864e5: $i] :
% 5.55/5.83 ( ( mem @ V1864e5 @ A_27a )
% 5.55/5.83 & ? [V1865e6: $i] :
% 5.55/5.83 ( ( mem @ V1865e6 @ A_27a )
% 5.55/5.83 & ? [V1866e7: $i] :
% 5.55/5.83 ( ( mem @ V1866e7 @ A_27a )
% 5.55/5.83 & ? [V1867e8: $i] :
% 5.55/5.83 ( ( mem @ V1867e8 @ A_27a )
% 5.55/5.83 & ? [V1868e9: $i] :
% 5.55/5.83 ( ( mem @ V1868e9 @ A_27a )
% 5.55/5.83 & ? [V1869e10: $i] :
% 5.55/5.83 ( ( mem @ V1869e10 @ A_27a )
% 5.55/5.83 & ? [V1870e11: $i] :
% 5.55/5.83 ( ( mem @ V1870e11 @ A_27a )
% 5.55/5.83 & ? [V1871e12: $i] :
% 5.55/5.83 ( ( mem @ V1871e12 @ A_27a )
% 5.55/5.83 & ? [V1872e13: $i] :
% 5.55/5.83 ( ( mem @ V1872e13 @ A_27a )
% 5.55/5.83 & ? [V1873e14: $i] :
% 5.55/5.83 ( ( mem @ V1873e14 @ A_27a )
% 5.55/5.83 & ? [V1874e15: $i] :
% 5.55/5.83 ( ( mem @ V1874e15 @ A_27a )
% 5.55/5.83 & ? [V1875e16: $i] :
% 5.55/5.83 ( ( mem @ V1875e16 @ A_27a )
% 5.55/5.83 & ? [V1876e17: $i] :
% 5.55/5.83 ( ( mem @ V1876e17 @ A_27a )
% 5.55/5.83 & ? [V1877e18: $i] :
% 5.55/5.83 ( ( mem @ V1877e18 @ A_27a )
% 5.55/5.83 & ? [V1878e19: $i] :
% 5.55/5.83 ( ( mem @ V1878e19 @ A_27a )
% 5.55/5.83 & ? [V1879e20: $i] :
% 5.55/5.83 ( ( mem @ V1879e20 @ A_27a )
% 5.55/5.83 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1859l_27 ) ) )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1860e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1861e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1862e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1863e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1864e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1865e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1866e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1867e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1868e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1869e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1870e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1871e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1872e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1873e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1874e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1875e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1876e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1877e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1878e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1879e20 ) @ V1859l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.83 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.83 <=> ? [V1880l_27: $i] :
% 5.55/5.83 ( ( mem @ V1880l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.83 & ? [V1881e1: $i] :
% 5.55/5.83 ( ( mem @ V1881e1 @ A_27a )
% 5.55/5.83 & ? [V1882e2: $i] :
% 5.55/5.83 ( ( mem @ V1882e2 @ A_27a )
% 5.55/5.83 & ? [V1883e3: $i] :
% 5.55/5.83 ( ( mem @ V1883e3 @ A_27a )
% 5.55/5.83 & ? [V1884e4: $i] :
% 5.55/5.83 ( ( mem @ V1884e4 @ A_27a )
% 5.55/5.83 & ? [V1885e5: $i] :
% 5.55/5.83 ( ( mem @ V1885e5 @ A_27a )
% 5.55/5.83 & ? [V1886e6: $i] :
% 5.55/5.83 ( ( mem @ V1886e6 @ A_27a )
% 5.55/5.83 & ? [V1887e7: $i] :
% 5.55/5.83 ( ( mem @ V1887e7 @ A_27a )
% 5.55/5.83 & ? [V1888e8: $i] :
% 5.55/5.83 ( ( mem @ V1888e8 @ A_27a )
% 5.55/5.83 & ? [V1889e9: $i] :
% 5.55/5.83 ( ( mem @ V1889e9 @ A_27a )
% 5.55/5.83 & ? [V1890e10: $i] :
% 5.55/5.83 ( ( mem @ V1890e10 @ A_27a )
% 5.55/5.83 & ? [V1891e11: $i] :
% 5.55/5.83 ( ( mem @ V1891e11 @ A_27a )
% 5.55/5.83 & ? [V1892e12: $i] :
% 5.55/5.83 ( ( mem @ V1892e12 @ A_27a )
% 5.55/5.83 & ? [V1893e13: $i] :
% 5.55/5.83 ( ( mem @ V1893e13 @ A_27a )
% 5.55/5.83 & ? [V1894e14: $i] :
% 5.55/5.83 ( ( mem @ V1894e14 @ A_27a )
% 5.55/5.83 & ? [V1895e15: $i] :
% 5.55/5.83 ( ( mem @ V1895e15 @ A_27a )
% 5.55/5.83 & ? [V1896e16: $i] :
% 5.55/5.83 ( ( mem @ V1896e16 @ A_27a )
% 5.55/5.83 & ? [V1897e17: $i] :
% 5.55/5.83 ( ( mem @ V1897e17 @ A_27a )
% 5.55/5.83 & ? [V1898e18: $i] :
% 5.55/5.83 ( ( mem @ V1898e18 @ A_27a )
% 5.55/5.83 & ? [V1899e19: $i] :
% 5.55/5.83 ( ( mem @ V1899e19 @ A_27a )
% 5.55/5.83 & ? [V1900e20: $i] :
% 5.55/5.83 ( ( mem @ V1900e20 @ A_27a )
% 5.55/5.83 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1880l_27 ) )
% 5.55/5.83 = V1x )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1881e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1882e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1883e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1884e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1885e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1886e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1887e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1888e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1889e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1890e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1891e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1892e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1893e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1894e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1895e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1896e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1897e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1898e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1899e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1900e20 ) @ V1880l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.55/5.83 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.83 <=> ? [V1901l_27: $i] :
% 5.55/5.83 ( ( mem @ V1901l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.83 & ? [V1902e1: $i] :
% 5.55/5.83 ( ( mem @ V1902e1 @ A_27a )
% 5.55/5.83 & ? [V1903e2: $i] :
% 5.55/5.83 ( ( mem @ V1903e2 @ A_27a )
% 5.55/5.83 & ? [V1904e3: $i] :
% 5.55/5.83 ( ( mem @ V1904e3 @ A_27a )
% 5.55/5.83 & ? [V1905e4: $i] :
% 5.55/5.83 ( ( mem @ V1905e4 @ A_27a )
% 5.55/5.83 & ? [V1906e5: $i] :
% 5.55/5.83 ( ( mem @ V1906e5 @ A_27a )
% 5.55/5.83 & ? [V1907e6: $i] :
% 5.55/5.83 ( ( mem @ V1907e6 @ A_27a )
% 5.55/5.83 & ? [V1908e7: $i] :
% 5.55/5.83 ( ( mem @ V1908e7 @ A_27a )
% 5.55/5.83 & ? [V1909e8: $i] :
% 5.55/5.83 ( ( mem @ V1909e8 @ A_27a )
% 5.55/5.83 & ? [V1910e9: $i] :
% 5.55/5.83 ( ( mem @ V1910e9 @ A_27a )
% 5.55/5.83 & ? [V1911e10: $i] :
% 5.55/5.83 ( ( mem @ V1911e10 @ A_27a )
% 5.55/5.83 & ? [V1912e11: $i] :
% 5.55/5.83 ( ( mem @ V1912e11 @ A_27a )
% 5.55/5.83 & ? [V1913e12: $i] :
% 5.55/5.83 ( ( mem @ V1913e12 @ A_27a )
% 5.55/5.83 & ? [V1914e13: $i] :
% 5.55/5.83 ( ( mem @ V1914e13 @ A_27a )
% 5.55/5.83 & ? [V1915e14: $i] :
% 5.55/5.83 ( ( mem @ V1915e14 @ A_27a )
% 5.55/5.83 & ? [V1916e15: $i] :
% 5.55/5.83 ( ( mem @ V1916e15 @ A_27a )
% 5.55/5.83 & ? [V1917e16: $i] :
% 5.55/5.83 ( ( mem @ V1917e16 @ A_27a )
% 5.55/5.83 & ? [V1918e17: $i] :
% 5.55/5.83 ( ( mem @ V1918e17 @ A_27a )
% 5.55/5.83 & ? [V1919e18: $i] :
% 5.55/5.83 ( ( mem @ V1919e18 @ A_27a )
% 5.55/5.83 & ? [V1920e19: $i] :
% 5.55/5.83 ( ( mem @ V1920e19 @ A_27a )
% 5.55/5.83 & ? [V1921e20: $i] :
% 5.55/5.83 ( ( mem @ V1921e20 @ A_27a )
% 5.55/5.83 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1901l_27 ) )
% 5.55/5.83 = V1x )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1902e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1903e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1904e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1905e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1906e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1907e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1908e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1909e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1910e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1911e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1912e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1913e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1914e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1915e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1916e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1917e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1918e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1919e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1920e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1921e20 ) @ V1901l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.83 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) )
% 5.55/5.83 <=> ? [V1922l_27: $i] :
% 5.55/5.83 ( ( mem @ V1922l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.83 & ? [V1923e1: $i] :
% 5.55/5.83 ( ( mem @ V1923e1 @ A_27a )
% 5.55/5.83 & ? [V1924e2: $i] :
% 5.55/5.83 ( ( mem @ V1924e2 @ A_27a )
% 5.55/5.83 & ? [V1925e3: $i] :
% 5.55/5.83 ( ( mem @ V1925e3 @ A_27a )
% 5.55/5.83 & ? [V1926e4: $i] :
% 5.55/5.83 ( ( mem @ V1926e4 @ A_27a )
% 5.55/5.83 & ? [V1927e5: $i] :
% 5.55/5.83 ( ( mem @ V1927e5 @ A_27a )
% 5.55/5.83 & ? [V1928e6: $i] :
% 5.55/5.83 ( ( mem @ V1928e6 @ A_27a )
% 5.55/5.83 & ? [V1929e7: $i] :
% 5.55/5.83 ( ( mem @ V1929e7 @ A_27a )
% 5.55/5.83 & ? [V1930e8: $i] :
% 5.55/5.83 ( ( mem @ V1930e8 @ A_27a )
% 5.55/5.83 & ? [V1931e9: $i] :
% 5.55/5.83 ( ( mem @ V1931e9 @ A_27a )
% 5.55/5.83 & ? [V1932e10: $i] :
% 5.55/5.83 ( ( mem @ V1932e10 @ A_27a )
% 5.55/5.83 & ? [V1933e11: $i] :
% 5.55/5.83 ( ( mem @ V1933e11 @ A_27a )
% 5.55/5.83 & ? [V1934e12: $i] :
% 5.55/5.83 ( ( mem @ V1934e12 @ A_27a )
% 5.55/5.83 & ? [V1935e13: $i] :
% 5.55/5.83 ( ( mem @ V1935e13 @ A_27a )
% 5.55/5.83 & ? [V1936e14: $i] :
% 5.55/5.83 ( ( mem @ V1936e14 @ A_27a )
% 5.55/5.83 & ? [V1937e15: $i] :
% 5.55/5.83 ( ( mem @ V1937e15 @ A_27a )
% 5.55/5.83 & ? [V1938e16: $i] :
% 5.55/5.83 ( ( mem @ V1938e16 @ A_27a )
% 5.55/5.83 & ? [V1939e17: $i] :
% 5.55/5.83 ( ( mem @ V1939e17 @ A_27a )
% 5.55/5.83 & ? [V1940e18: $i] :
% 5.55/5.83 ( ( mem @ V1940e18 @ A_27a )
% 5.55/5.83 & ? [V1941e19: $i] :
% 5.55/5.83 ( ( mem @ V1941e19 @ A_27a )
% 5.55/5.83 & ? [V1942e20: $i] :
% 5.55/5.83 ( ( mem @ V1942e20 @ A_27a )
% 5.55/5.83 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1922l_27 ) )
% 5.55/5.83 = V1x )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1923e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1924e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1925e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1926e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1927e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1928e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1929e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1930e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1931e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1932e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1933e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1934e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1935e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1936e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1937e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1938e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1939e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1940e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1941e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1942e20 ) @ V1922l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.83 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.83 <=> ? [V1943l_27: $i] :
% 5.55/5.83 ( ( mem @ V1943l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.83 & ? [V1944e1: $i] :
% 5.55/5.83 ( ( mem @ V1944e1 @ A_27a )
% 5.55/5.83 & ? [V1945e2: $i] :
% 5.55/5.83 ( ( mem @ V1945e2 @ A_27a )
% 5.55/5.83 & ? [V1946e3: $i] :
% 5.55/5.83 ( ( mem @ V1946e3 @ A_27a )
% 5.55/5.83 & ? [V1947e4: $i] :
% 5.55/5.83 ( ( mem @ V1947e4 @ A_27a )
% 5.55/5.83 & ? [V1948e5: $i] :
% 5.55/5.83 ( ( mem @ V1948e5 @ A_27a )
% 5.55/5.83 & ? [V1949e6: $i] :
% 5.55/5.83 ( ( mem @ V1949e6 @ A_27a )
% 5.55/5.83 & ? [V1950e7: $i] :
% 5.55/5.83 ( ( mem @ V1950e7 @ A_27a )
% 5.55/5.83 & ? [V1951e8: $i] :
% 5.55/5.83 ( ( mem @ V1951e8 @ A_27a )
% 5.55/5.83 & ? [V1952e9: $i] :
% 5.55/5.83 ( ( mem @ V1952e9 @ A_27a )
% 5.55/5.83 & ? [V1953e10: $i] :
% 5.55/5.83 ( ( mem @ V1953e10 @ A_27a )
% 5.55/5.83 & ? [V1954e11: $i] :
% 5.55/5.83 ( ( mem @ V1954e11 @ A_27a )
% 5.55/5.83 & ? [V1955e12: $i] :
% 5.55/5.83 ( ( mem @ V1955e12 @ A_27a )
% 5.55/5.83 & ? [V1956e13: $i] :
% 5.55/5.83 ( ( mem @ V1956e13 @ A_27a )
% 5.55/5.83 & ? [V1957e14: $i] :
% 5.55/5.83 ( ( mem @ V1957e14 @ A_27a )
% 5.55/5.83 & ? [V1958e15: $i] :
% 5.55/5.83 ( ( mem @ V1958e15 @ A_27a )
% 5.55/5.83 & ? [V1959e16: $i] :
% 5.55/5.83 ( ( mem @ V1959e16 @ A_27a )
% 5.55/5.83 & ? [V1960e17: $i] :
% 5.55/5.83 ( ( mem @ V1960e17 @ A_27a )
% 5.55/5.83 & ? [V1961e18: $i] :
% 5.55/5.83 ( ( mem @ V1961e18 @ A_27a )
% 5.55/5.83 & ? [V1962e19: $i] :
% 5.55/5.83 ( ( mem @ V1962e19 @ A_27a )
% 5.55/5.83 & ? [V1963e20: $i] :
% 5.55/5.83 ( ( mem @ V1963e20 @ A_27a )
% 5.55/5.83 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1943l_27 ) )
% 5.55/5.83 = V1x )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1944e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1945e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1946e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1947e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1948e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1949e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1950e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1951e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1952e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1953e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1954e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1955e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1956e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1957e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1958e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1959e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1960e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1961e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1962e19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1963e20 ) @ V1943l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.83 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.83 <=> ? [V1964e1: $i] :
% 5.55/5.83 ( ( mem @ V1964e1 @ A_27a )
% 5.55/5.83 & ? [V1965e2: $i] :
% 5.55/5.83 ( ( mem @ V1965e2 @ A_27a )
% 5.55/5.83 & ? [V1966e3: $i] :
% 5.55/5.83 ( ( mem @ V1966e3 @ A_27a )
% 5.55/5.83 & ? [V1967e4: $i] :
% 5.55/5.83 ( ( mem @ V1967e4 @ A_27a )
% 5.55/5.83 & ? [V1968e5: $i] :
% 5.55/5.83 ( ( mem @ V1968e5 @ A_27a )
% 5.55/5.83 & ? [V1969e6: $i] :
% 5.55/5.83 ( ( mem @ V1969e6 @ A_27a )
% 5.55/5.83 & ? [V1970e7: $i] :
% 5.55/5.83 ( ( mem @ V1970e7 @ A_27a )
% 5.55/5.83 & ? [V1971e8: $i] :
% 5.55/5.83 ( ( mem @ V1971e8 @ A_27a )
% 5.55/5.83 & ? [V1972e9: $i] :
% 5.55/5.83 ( ( mem @ V1972e9 @ A_27a )
% 5.55/5.83 & ? [V1973e10: $i] :
% 5.55/5.83 ( ( mem @ V1973e10 @ A_27a )
% 5.55/5.83 & ? [V1974e11: $i] :
% 5.55/5.83 ( ( mem @ V1974e11 @ A_27a )
% 5.55/5.83 & ? [V1975e12: $i] :
% 5.55/5.83 ( ( mem @ V1975e12 @ A_27a )
% 5.55/5.83 & ? [V1976e13: $i] :
% 5.55/5.83 ( ( mem @ V1976e13 @ A_27a )
% 5.55/5.83 & ? [V1977e14: $i] :
% 5.55/5.83 ( ( mem @ V1977e14 @ A_27a )
% 5.55/5.83 & ? [V1978e15: $i] :
% 5.55/5.83 ( ( mem @ V1978e15 @ A_27a )
% 5.55/5.83 & ? [V1979e16: $i] :
% 5.55/5.83 ( ( mem @ V1979e16 @ A_27a )
% 5.55/5.83 & ? [V1980e17: $i] :
% 5.55/5.83 ( ( mem @ V1980e17 @ A_27a )
% 5.55/5.83 & ? [V1981e18: $i] :
% 5.55/5.83 ( ( mem @ V1981e18 @ A_27a )
% 5.55/5.83 & ? [V1982e19: $i] :
% 5.55/5.83 ( ( mem @ V1982e19 @ A_27a )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1964e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1965e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1966e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1967e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1968e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1969e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1970e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1971e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1972e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1973e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1974e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1975e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1976e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1977e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1978e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1979e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1980e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1981e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1982e19 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.83 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.83 <=> ? [V1983e1: $i] :
% 5.55/5.83 ( ( mem @ V1983e1 @ A_27a )
% 5.55/5.83 & ? [V1984e2: $i] :
% 5.55/5.83 ( ( mem @ V1984e2 @ A_27a )
% 5.55/5.83 & ? [V1985e3: $i] :
% 5.55/5.83 ( ( mem @ V1985e3 @ A_27a )
% 5.55/5.83 & ? [V1986e4: $i] :
% 5.55/5.83 ( ( mem @ V1986e4 @ A_27a )
% 5.55/5.83 & ? [V1987e5: $i] :
% 5.55/5.83 ( ( mem @ V1987e5 @ A_27a )
% 5.55/5.83 & ? [V1988e6: $i] :
% 5.55/5.83 ( ( mem @ V1988e6 @ A_27a )
% 5.55/5.83 & ? [V1989e7: $i] :
% 5.55/5.83 ( ( mem @ V1989e7 @ A_27a )
% 5.55/5.83 & ? [V1990e8: $i] :
% 5.55/5.83 ( ( mem @ V1990e8 @ A_27a )
% 5.55/5.83 & ? [V1991e9: $i] :
% 5.55/5.83 ( ( mem @ V1991e9 @ A_27a )
% 5.55/5.83 & ? [V1992e10: $i] :
% 5.55/5.83 ( ( mem @ V1992e10 @ A_27a )
% 5.55/5.83 & ? [V1993e11: $i] :
% 5.55/5.83 ( ( mem @ V1993e11 @ A_27a )
% 5.55/5.83 & ? [V1994e12: $i] :
% 5.55/5.83 ( ( mem @ V1994e12 @ A_27a )
% 5.55/5.83 & ? [V1995e13: $i] :
% 5.55/5.83 ( ( mem @ V1995e13 @ A_27a )
% 5.55/5.83 & ? [V1996e14: $i] :
% 5.55/5.83 ( ( mem @ V1996e14 @ A_27a )
% 5.55/5.83 & ? [V1997e15: $i] :
% 5.55/5.83 ( ( mem @ V1997e15 @ A_27a )
% 5.55/5.83 & ? [V1998e16: $i] :
% 5.55/5.83 ( ( mem @ V1998e16 @ A_27a )
% 5.55/5.83 & ? [V1999e17: $i] :
% 5.55/5.83 ( ( mem @ V1999e17 @ A_27a )
% 5.55/5.83 & ? [V2000e18: $i] :
% 5.55/5.83 ( ( mem @ V2000e18 @ A_27a )
% 5.55/5.83 & ? [V2001e19: $i] :
% 5.55/5.83 ( ( mem @ V2001e19 @ A_27a )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1983e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1984e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1985e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1986e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1987e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1988e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1989e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1990e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1991e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1992e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1993e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1994e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1995e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1996e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1997e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1998e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1999e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2000e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2001e19 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.83 <=> ? [V2002l_27: $i] :
% 5.55/5.83 ( ( mem @ V2002l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.83 & ? [V2003e1: $i] :
% 5.55/5.83 ( ( mem @ V2003e1 @ A_27a )
% 5.55/5.83 & ? [V2004e2: $i] :
% 5.55/5.83 ( ( mem @ V2004e2 @ A_27a )
% 5.55/5.83 & ? [V2005e3: $i] :
% 5.55/5.83 ( ( mem @ V2005e3 @ A_27a )
% 5.55/5.83 & ? [V2006e4: $i] :
% 5.55/5.83 ( ( mem @ V2006e4 @ A_27a )
% 5.55/5.83 & ? [V2007e5: $i] :
% 5.55/5.83 ( ( mem @ V2007e5 @ A_27a )
% 5.55/5.83 & ? [V2008e6: $i] :
% 5.55/5.83 ( ( mem @ V2008e6 @ A_27a )
% 5.55/5.83 & ? [V2009e7: $i] :
% 5.55/5.83 ( ( mem @ V2009e7 @ A_27a )
% 5.55/5.83 & ? [V2010e8: $i] :
% 5.55/5.83 ( ( mem @ V2010e8 @ A_27a )
% 5.55/5.83 & ? [V2011e9: $i] :
% 5.55/5.83 ( ( mem @ V2011e9 @ A_27a )
% 5.55/5.83 & ? [V2012e10: $i] :
% 5.55/5.83 ( ( mem @ V2012e10 @ A_27a )
% 5.55/5.83 & ? [V2013e11: $i] :
% 5.55/5.83 ( ( mem @ V2013e11 @ A_27a )
% 5.55/5.83 & ? [V2014e12: $i] :
% 5.55/5.83 ( ( mem @ V2014e12 @ A_27a )
% 5.55/5.83 & ? [V2015e13: $i] :
% 5.55/5.83 ( ( mem @ V2015e13 @ A_27a )
% 5.55/5.83 & ? [V2016e14: $i] :
% 5.55/5.83 ( ( mem @ V2016e14 @ A_27a )
% 5.55/5.83 & ? [V2017e15: $i] :
% 5.55/5.83 ( ( mem @ V2017e15 @ A_27a )
% 5.55/5.83 & ? [V2018e16: $i] :
% 5.55/5.83 ( ( mem @ V2018e16 @ A_27a )
% 5.55/5.83 & ? [V2019e17: $i] :
% 5.55/5.83 ( ( mem @ V2019e17 @ A_27a )
% 5.55/5.83 & ? [V2020e18: $i] :
% 5.55/5.83 ( ( mem @ V2020e18 @ A_27a )
% 5.55/5.83 & ? [V2021e19: $i] :
% 5.55/5.83 ( ( mem @ V2021e19 @ A_27a )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2003e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2004e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2005e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2006e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2007e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2008e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2009e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2010e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2011e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2012e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2013e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2014e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2015e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2016e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2017e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2018e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2019e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2020e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2021e19 ) @ V2002l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.83 <=> ? [V2022l_27: $i] :
% 5.55/5.83 ( ( mem @ V2022l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.83 & ? [V2023e1: $i] :
% 5.55/5.83 ( ( mem @ V2023e1 @ A_27a )
% 5.55/5.83 & ? [V2024e2: $i] :
% 5.55/5.83 ( ( mem @ V2024e2 @ A_27a )
% 5.55/5.83 & ? [V2025e3: $i] :
% 5.55/5.83 ( ( mem @ V2025e3 @ A_27a )
% 5.55/5.83 & ? [V2026e4: $i] :
% 5.55/5.83 ( ( mem @ V2026e4 @ A_27a )
% 5.55/5.83 & ? [V2027e5: $i] :
% 5.55/5.83 ( ( mem @ V2027e5 @ A_27a )
% 5.55/5.83 & ? [V2028e6: $i] :
% 5.55/5.83 ( ( mem @ V2028e6 @ A_27a )
% 5.55/5.83 & ? [V2029e7: $i] :
% 5.55/5.83 ( ( mem @ V2029e7 @ A_27a )
% 5.55/5.83 & ? [V2030e8: $i] :
% 5.55/5.83 ( ( mem @ V2030e8 @ A_27a )
% 5.55/5.83 & ? [V2031e9: $i] :
% 5.55/5.83 ( ( mem @ V2031e9 @ A_27a )
% 5.55/5.83 & ? [V2032e10: $i] :
% 5.55/5.83 ( ( mem @ V2032e10 @ A_27a )
% 5.55/5.83 & ? [V2033e11: $i] :
% 5.55/5.83 ( ( mem @ V2033e11 @ A_27a )
% 5.55/5.83 & ? [V2034e12: $i] :
% 5.55/5.83 ( ( mem @ V2034e12 @ A_27a )
% 5.55/5.83 & ? [V2035e13: $i] :
% 5.55/5.83 ( ( mem @ V2035e13 @ A_27a )
% 5.55/5.83 & ? [V2036e14: $i] :
% 5.55/5.83 ( ( mem @ V2036e14 @ A_27a )
% 5.55/5.83 & ? [V2037e15: $i] :
% 5.55/5.83 ( ( mem @ V2037e15 @ A_27a )
% 5.55/5.83 & ? [V2038e16: $i] :
% 5.55/5.83 ( ( mem @ V2038e16 @ A_27a )
% 5.55/5.83 & ? [V2039e17: $i] :
% 5.55/5.83 ( ( mem @ V2039e17 @ A_27a )
% 5.55/5.83 & ? [V2040e18: $i] :
% 5.55/5.83 ( ( mem @ V2040e18 @ A_27a )
% 5.55/5.83 & ? [V2041e19: $i] :
% 5.55/5.83 ( ( mem @ V2041e19 @ A_27a )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2023e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2024e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2025e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2026e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2027e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2028e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2029e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2030e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2031e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2032e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2033e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2034e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2035e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2036e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2037e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2038e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2039e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2040e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2041e19 ) @ V2022l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.83 <=> ? [V2042l_27: $i] :
% 5.55/5.83 ( ( mem @ V2042l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.83 & ? [V2043e1: $i] :
% 5.55/5.83 ( ( mem @ V2043e1 @ A_27a )
% 5.55/5.83 & ? [V2044e2: $i] :
% 5.55/5.83 ( ( mem @ V2044e2 @ A_27a )
% 5.55/5.83 & ? [V2045e3: $i] :
% 5.55/5.83 ( ( mem @ V2045e3 @ A_27a )
% 5.55/5.83 & ? [V2046e4: $i] :
% 5.55/5.83 ( ( mem @ V2046e4 @ A_27a )
% 5.55/5.83 & ? [V2047e5: $i] :
% 5.55/5.83 ( ( mem @ V2047e5 @ A_27a )
% 5.55/5.83 & ? [V2048e6: $i] :
% 5.55/5.83 ( ( mem @ V2048e6 @ A_27a )
% 5.55/5.83 & ? [V2049e7: $i] :
% 5.55/5.83 ( ( mem @ V2049e7 @ A_27a )
% 5.55/5.83 & ? [V2050e8: $i] :
% 5.55/5.83 ( ( mem @ V2050e8 @ A_27a )
% 5.55/5.83 & ? [V2051e9: $i] :
% 5.55/5.83 ( ( mem @ V2051e9 @ A_27a )
% 5.55/5.83 & ? [V2052e10: $i] :
% 5.55/5.83 ( ( mem @ V2052e10 @ A_27a )
% 5.55/5.83 & ? [V2053e11: $i] :
% 5.55/5.83 ( ( mem @ V2053e11 @ A_27a )
% 5.55/5.83 & ? [V2054e12: $i] :
% 5.55/5.83 ( ( mem @ V2054e12 @ A_27a )
% 5.55/5.83 & ? [V2055e13: $i] :
% 5.55/5.83 ( ( mem @ V2055e13 @ A_27a )
% 5.55/5.83 & ? [V2056e14: $i] :
% 5.55/5.83 ( ( mem @ V2056e14 @ A_27a )
% 5.55/5.83 & ? [V2057e15: $i] :
% 5.55/5.83 ( ( mem @ V2057e15 @ A_27a )
% 5.55/5.83 & ? [V2058e16: $i] :
% 5.55/5.83 ( ( mem @ V2058e16 @ A_27a )
% 5.55/5.83 & ? [V2059e17: $i] :
% 5.55/5.83 ( ( mem @ V2059e17 @ A_27a )
% 5.55/5.83 & ? [V2060e18: $i] :
% 5.55/5.83 ( ( mem @ V2060e18 @ A_27a )
% 5.55/5.83 & ? [V2061e19: $i] :
% 5.55/5.83 ( ( mem @ V2061e19 @ A_27a )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2043e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2044e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2045e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2046e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2047e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2048e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2049e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2050e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2051e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2052e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2053e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2054e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2055e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2056e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2057e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2058e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2059e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2060e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2061e19 ) @ V2042l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.83 <=> ? [V2062l_27: $i] :
% 5.55/5.83 ( ( mem @ V2062l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.83 & ? [V2063e1: $i] :
% 5.55/5.83 ( ( mem @ V2063e1 @ A_27a )
% 5.55/5.83 & ? [V2064e2: $i] :
% 5.55/5.83 ( ( mem @ V2064e2 @ A_27a )
% 5.55/5.83 & ? [V2065e3: $i] :
% 5.55/5.83 ( ( mem @ V2065e3 @ A_27a )
% 5.55/5.83 & ? [V2066e4: $i] :
% 5.55/5.83 ( ( mem @ V2066e4 @ A_27a )
% 5.55/5.83 & ? [V2067e5: $i] :
% 5.55/5.83 ( ( mem @ V2067e5 @ A_27a )
% 5.55/5.83 & ? [V2068e6: $i] :
% 5.55/5.83 ( ( mem @ V2068e6 @ A_27a )
% 5.55/5.83 & ? [V2069e7: $i] :
% 5.55/5.83 ( ( mem @ V2069e7 @ A_27a )
% 5.55/5.83 & ? [V2070e8: $i] :
% 5.55/5.83 ( ( mem @ V2070e8 @ A_27a )
% 5.55/5.83 & ? [V2071e9: $i] :
% 5.55/5.83 ( ( mem @ V2071e9 @ A_27a )
% 5.55/5.83 & ? [V2072e10: $i] :
% 5.55/5.83 ( ( mem @ V2072e10 @ A_27a )
% 5.55/5.83 & ? [V2073e11: $i] :
% 5.55/5.83 ( ( mem @ V2073e11 @ A_27a )
% 5.55/5.83 & ? [V2074e12: $i] :
% 5.55/5.83 ( ( mem @ V2074e12 @ A_27a )
% 5.55/5.83 & ? [V2075e13: $i] :
% 5.55/5.83 ( ( mem @ V2075e13 @ A_27a )
% 5.55/5.83 & ? [V2076e14: $i] :
% 5.55/5.83 ( ( mem @ V2076e14 @ A_27a )
% 5.55/5.83 & ? [V2077e15: $i] :
% 5.55/5.83 ( ( mem @ V2077e15 @ A_27a )
% 5.55/5.83 & ? [V2078e16: $i] :
% 5.55/5.83 ( ( mem @ V2078e16 @ A_27a )
% 5.55/5.83 & ? [V2079e17: $i] :
% 5.55/5.83 ( ( mem @ V2079e17 @ A_27a )
% 5.55/5.83 & ? [V2080e18: $i] :
% 5.55/5.83 ( ( mem @ V2080e18 @ A_27a )
% 5.55/5.83 & ? [V2081e19: $i] :
% 5.55/5.83 ( ( mem @ V2081e19 @ A_27a )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2063e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2064e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2065e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2066e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2067e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2068e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2069e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2070e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2071e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2072e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2073e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2074e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2075e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2076e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2077e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2078e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2079e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2080e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2081e19 ) @ V2062l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.83 <=> ? [V2082l_27: $i] :
% 5.55/5.83 ( ( mem @ V2082l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.83 & ? [V2083e1: $i] :
% 5.55/5.83 ( ( mem @ V2083e1 @ A_27a )
% 5.55/5.83 & ? [V2084e2: $i] :
% 5.55/5.83 ( ( mem @ V2084e2 @ A_27a )
% 5.55/5.83 & ? [V2085e3: $i] :
% 5.55/5.83 ( ( mem @ V2085e3 @ A_27a )
% 5.55/5.83 & ? [V2086e4: $i] :
% 5.55/5.83 ( ( mem @ V2086e4 @ A_27a )
% 5.55/5.83 & ? [V2087e5: $i] :
% 5.55/5.83 ( ( mem @ V2087e5 @ A_27a )
% 5.55/5.83 & ? [V2088e6: $i] :
% 5.55/5.83 ( ( mem @ V2088e6 @ A_27a )
% 5.55/5.83 & ? [V2089e7: $i] :
% 5.55/5.83 ( ( mem @ V2089e7 @ A_27a )
% 5.55/5.83 & ? [V2090e8: $i] :
% 5.55/5.83 ( ( mem @ V2090e8 @ A_27a )
% 5.55/5.83 & ? [V2091e9: $i] :
% 5.55/5.83 ( ( mem @ V2091e9 @ A_27a )
% 5.55/5.83 & ? [V2092e10: $i] :
% 5.55/5.83 ( ( mem @ V2092e10 @ A_27a )
% 5.55/5.83 & ? [V2093e11: $i] :
% 5.55/5.83 ( ( mem @ V2093e11 @ A_27a )
% 5.55/5.83 & ? [V2094e12: $i] :
% 5.55/5.83 ( ( mem @ V2094e12 @ A_27a )
% 5.55/5.83 & ? [V2095e13: $i] :
% 5.55/5.83 ( ( mem @ V2095e13 @ A_27a )
% 5.55/5.83 & ? [V2096e14: $i] :
% 5.55/5.83 ( ( mem @ V2096e14 @ A_27a )
% 5.55/5.83 & ? [V2097e15: $i] :
% 5.55/5.83 ( ( mem @ V2097e15 @ A_27a )
% 5.55/5.83 & ? [V2098e16: $i] :
% 5.55/5.83 ( ( mem @ V2098e16 @ A_27a )
% 5.55/5.83 & ? [V2099e17: $i] :
% 5.55/5.83 ( ( mem @ V2099e17 @ A_27a )
% 5.55/5.83 & ? [V2100e18: $i] :
% 5.55/5.83 ( ( mem @ V2100e18 @ A_27a )
% 5.55/5.83 & ? [V2101e19: $i] :
% 5.55/5.83 ( ( mem @ V2101e19 @ A_27a )
% 5.55/5.83 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2082l_27 ) ) )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2083e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2084e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2085e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2086e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2087e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2088e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2089e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2090e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2091e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2092e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2093e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2094e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2095e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2096e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2097e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2098e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2099e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2100e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2101e19 ) @ V2082l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.83 <=> ? [V2102l_27: $i] :
% 5.55/5.83 ( ( mem @ V2102l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.83 & ? [V2103e1: $i] :
% 5.55/5.83 ( ( mem @ V2103e1 @ A_27a )
% 5.55/5.83 & ? [V2104e2: $i] :
% 5.55/5.83 ( ( mem @ V2104e2 @ A_27a )
% 5.55/5.83 & ? [V2105e3: $i] :
% 5.55/5.83 ( ( mem @ V2105e3 @ A_27a )
% 5.55/5.83 & ? [V2106e4: $i] :
% 5.55/5.83 ( ( mem @ V2106e4 @ A_27a )
% 5.55/5.83 & ? [V2107e5: $i] :
% 5.55/5.83 ( ( mem @ V2107e5 @ A_27a )
% 5.55/5.83 & ? [V2108e6: $i] :
% 5.55/5.83 ( ( mem @ V2108e6 @ A_27a )
% 5.55/5.83 & ? [V2109e7: $i] :
% 5.55/5.83 ( ( mem @ V2109e7 @ A_27a )
% 5.55/5.83 & ? [V2110e8: $i] :
% 5.55/5.83 ( ( mem @ V2110e8 @ A_27a )
% 5.55/5.83 & ? [V2111e9: $i] :
% 5.55/5.83 ( ( mem @ V2111e9 @ A_27a )
% 5.55/5.83 & ? [V2112e10: $i] :
% 5.55/5.83 ( ( mem @ V2112e10 @ A_27a )
% 5.55/5.83 & ? [V2113e11: $i] :
% 5.55/5.83 ( ( mem @ V2113e11 @ A_27a )
% 5.55/5.83 & ? [V2114e12: $i] :
% 5.55/5.83 ( ( mem @ V2114e12 @ A_27a )
% 5.55/5.83 & ? [V2115e13: $i] :
% 5.55/5.83 ( ( mem @ V2115e13 @ A_27a )
% 5.55/5.83 & ? [V2116e14: $i] :
% 5.55/5.83 ( ( mem @ V2116e14 @ A_27a )
% 5.55/5.83 & ? [V2117e15: $i] :
% 5.55/5.83 ( ( mem @ V2117e15 @ A_27a )
% 5.55/5.83 & ? [V2118e16: $i] :
% 5.55/5.83 ( ( mem @ V2118e16 @ A_27a )
% 5.55/5.83 & ? [V2119e17: $i] :
% 5.55/5.83 ( ( mem @ V2119e17 @ A_27a )
% 5.55/5.83 & ? [V2120e18: $i] :
% 5.55/5.83 ( ( mem @ V2120e18 @ A_27a )
% 5.55/5.83 & ? [V2121e19: $i] :
% 5.55/5.83 ( ( mem @ V2121e19 @ A_27a )
% 5.55/5.83 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2102l_27 ) ) )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2103e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2104e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2105e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2106e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2107e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2108e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2109e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2110e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2111e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2112e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2113e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2114e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2115e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2116e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2117e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2118e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2119e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2120e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2121e19 ) @ V2102l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.83 <=> ? [V2122l_27: $i] :
% 5.55/5.83 ( ( mem @ V2122l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.83 & ? [V2123e1: $i] :
% 5.55/5.83 ( ( mem @ V2123e1 @ A_27a )
% 5.55/5.83 & ? [V2124e2: $i] :
% 5.55/5.83 ( ( mem @ V2124e2 @ A_27a )
% 5.55/5.83 & ? [V2125e3: $i] :
% 5.55/5.83 ( ( mem @ V2125e3 @ A_27a )
% 5.55/5.83 & ? [V2126e4: $i] :
% 5.55/5.83 ( ( mem @ V2126e4 @ A_27a )
% 5.55/5.83 & ? [V2127e5: $i] :
% 5.55/5.83 ( ( mem @ V2127e5 @ A_27a )
% 5.55/5.83 & ? [V2128e6: $i] :
% 5.55/5.83 ( ( mem @ V2128e6 @ A_27a )
% 5.55/5.83 & ? [V2129e7: $i] :
% 5.55/5.83 ( ( mem @ V2129e7 @ A_27a )
% 5.55/5.83 & ? [V2130e8: $i] :
% 5.55/5.83 ( ( mem @ V2130e8 @ A_27a )
% 5.55/5.83 & ? [V2131e9: $i] :
% 5.55/5.83 ( ( mem @ V2131e9 @ A_27a )
% 5.55/5.83 & ? [V2132e10: $i] :
% 5.55/5.83 ( ( mem @ V2132e10 @ A_27a )
% 5.55/5.83 & ? [V2133e11: $i] :
% 5.55/5.83 ( ( mem @ V2133e11 @ A_27a )
% 5.55/5.83 & ? [V2134e12: $i] :
% 5.55/5.83 ( ( mem @ V2134e12 @ A_27a )
% 5.55/5.83 & ? [V2135e13: $i] :
% 5.55/5.83 ( ( mem @ V2135e13 @ A_27a )
% 5.55/5.83 & ? [V2136e14: $i] :
% 5.55/5.83 ( ( mem @ V2136e14 @ A_27a )
% 5.55/5.83 & ? [V2137e15: $i] :
% 5.55/5.83 ( ( mem @ V2137e15 @ A_27a )
% 5.55/5.83 & ? [V2138e16: $i] :
% 5.55/5.83 ( ( mem @ V2138e16 @ A_27a )
% 5.55/5.83 & ? [V2139e17: $i] :
% 5.55/5.83 ( ( mem @ V2139e17 @ A_27a )
% 5.55/5.83 & ? [V2140e18: $i] :
% 5.55/5.83 ( ( mem @ V2140e18 @ A_27a )
% 5.55/5.83 & ? [V2141e19: $i] :
% 5.55/5.83 ( ( mem @ V2141e19 @ A_27a )
% 5.55/5.83 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2122l_27 ) ) )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2123e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2124e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2125e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2126e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2127e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2128e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2129e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2130e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2131e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2132e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2133e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2134e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2135e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2136e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2137e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2138e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2139e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2140e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2141e19 ) @ V2122l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) )
% 5.55/5.83 <=> ? [V2142l_27: $i] :
% 5.55/5.83 ( ( mem @ V2142l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.83 & ? [V2143e1: $i] :
% 5.55/5.83 ( ( mem @ V2143e1 @ A_27a )
% 5.55/5.83 & ? [V2144e2: $i] :
% 5.55/5.83 ( ( mem @ V2144e2 @ A_27a )
% 5.55/5.83 & ? [V2145e3: $i] :
% 5.55/5.83 ( ( mem @ V2145e3 @ A_27a )
% 5.55/5.83 & ? [V2146e4: $i] :
% 5.55/5.83 ( ( mem @ V2146e4 @ A_27a )
% 5.55/5.83 & ? [V2147e5: $i] :
% 5.55/5.83 ( ( mem @ V2147e5 @ A_27a )
% 5.55/5.83 & ? [V2148e6: $i] :
% 5.55/5.83 ( ( mem @ V2148e6 @ A_27a )
% 5.55/5.83 & ? [V2149e7: $i] :
% 5.55/5.83 ( ( mem @ V2149e7 @ A_27a )
% 5.55/5.83 & ? [V2150e8: $i] :
% 5.55/5.83 ( ( mem @ V2150e8 @ A_27a )
% 5.55/5.83 & ? [V2151e9: $i] :
% 5.55/5.83 ( ( mem @ V2151e9 @ A_27a )
% 5.55/5.83 & ? [V2152e10: $i] :
% 5.55/5.83 ( ( mem @ V2152e10 @ A_27a )
% 5.55/5.83 & ? [V2153e11: $i] :
% 5.55/5.83 ( ( mem @ V2153e11 @ A_27a )
% 5.55/5.83 & ? [V2154e12: $i] :
% 5.55/5.83 ( ( mem @ V2154e12 @ A_27a )
% 5.55/5.83 & ? [V2155e13: $i] :
% 5.55/5.83 ( ( mem @ V2155e13 @ A_27a )
% 5.55/5.83 & ? [V2156e14: $i] :
% 5.55/5.83 ( ( mem @ V2156e14 @ A_27a )
% 5.55/5.83 & ? [V2157e15: $i] :
% 5.55/5.83 ( ( mem @ V2157e15 @ A_27a )
% 5.55/5.83 & ? [V2158e16: $i] :
% 5.55/5.83 ( ( mem @ V2158e16 @ A_27a )
% 5.55/5.83 & ? [V2159e17: $i] :
% 5.55/5.83 ( ( mem @ V2159e17 @ A_27a )
% 5.55/5.83 & ? [V2160e18: $i] :
% 5.55/5.83 ( ( mem @ V2160e18 @ A_27a )
% 5.55/5.83 & ? [V2161e19: $i] :
% 5.55/5.83 ( ( mem @ V2161e19 @ A_27a )
% 5.55/5.83 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2142l_27 ) ) )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2143e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2144e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2145e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2146e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2147e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2148e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2149e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2150e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2151e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2152e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2153e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2154e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2155e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2156e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2157e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2158e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2159e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2160e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2161e19 ) @ V2142l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.83 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.83 <=> ? [V2162l_27: $i] :
% 5.55/5.83 ( ( mem @ V2162l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.83 & ? [V2163e1: $i] :
% 5.55/5.83 ( ( mem @ V2163e1 @ A_27a )
% 5.55/5.83 & ? [V2164e2: $i] :
% 5.55/5.83 ( ( mem @ V2164e2 @ A_27a )
% 5.55/5.83 & ? [V2165e3: $i] :
% 5.55/5.83 ( ( mem @ V2165e3 @ A_27a )
% 5.55/5.83 & ? [V2166e4: $i] :
% 5.55/5.83 ( ( mem @ V2166e4 @ A_27a )
% 5.55/5.83 & ? [V2167e5: $i] :
% 5.55/5.83 ( ( mem @ V2167e5 @ A_27a )
% 5.55/5.83 & ? [V2168e6: $i] :
% 5.55/5.83 ( ( mem @ V2168e6 @ A_27a )
% 5.55/5.83 & ? [V2169e7: $i] :
% 5.55/5.83 ( ( mem @ V2169e7 @ A_27a )
% 5.55/5.83 & ? [V2170e8: $i] :
% 5.55/5.83 ( ( mem @ V2170e8 @ A_27a )
% 5.55/5.83 & ? [V2171e9: $i] :
% 5.55/5.83 ( ( mem @ V2171e9 @ A_27a )
% 5.55/5.83 & ? [V2172e10: $i] :
% 5.55/5.83 ( ( mem @ V2172e10 @ A_27a )
% 5.55/5.83 & ? [V2173e11: $i] :
% 5.55/5.83 ( ( mem @ V2173e11 @ A_27a )
% 5.55/5.83 & ? [V2174e12: $i] :
% 5.55/5.83 ( ( mem @ V2174e12 @ A_27a )
% 5.55/5.83 & ? [V2175e13: $i] :
% 5.55/5.83 ( ( mem @ V2175e13 @ A_27a )
% 5.55/5.83 & ? [V2176e14: $i] :
% 5.55/5.83 ( ( mem @ V2176e14 @ A_27a )
% 5.55/5.83 & ? [V2177e15: $i] :
% 5.55/5.83 ( ( mem @ V2177e15 @ A_27a )
% 5.55/5.83 & ? [V2178e16: $i] :
% 5.55/5.83 ( ( mem @ V2178e16 @ A_27a )
% 5.55/5.83 & ? [V2179e17: $i] :
% 5.55/5.83 ( ( mem @ V2179e17 @ A_27a )
% 5.55/5.83 & ? [V2180e18: $i] :
% 5.55/5.83 ( ( mem @ V2180e18 @ A_27a )
% 5.55/5.83 & ? [V2181e19: $i] :
% 5.55/5.83 ( ( mem @ V2181e19 @ A_27a )
% 5.55/5.83 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2162l_27 ) )
% 5.55/5.83 = V1x )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2163e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2164e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2165e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2166e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2167e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2168e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2169e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2170e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2171e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2172e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2173e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2174e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2175e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2176e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2177e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2178e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2179e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2180e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2181e19 ) @ V2162l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.55/5.83 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.83 <=> ? [V2182l_27: $i] :
% 5.55/5.83 ( ( mem @ V2182l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.83 & ? [V2183e1: $i] :
% 5.55/5.83 ( ( mem @ V2183e1 @ A_27a )
% 5.55/5.83 & ? [V2184e2: $i] :
% 5.55/5.83 ( ( mem @ V2184e2 @ A_27a )
% 5.55/5.83 & ? [V2185e3: $i] :
% 5.55/5.83 ( ( mem @ V2185e3 @ A_27a )
% 5.55/5.83 & ? [V2186e4: $i] :
% 5.55/5.83 ( ( mem @ V2186e4 @ A_27a )
% 5.55/5.83 & ? [V2187e5: $i] :
% 5.55/5.83 ( ( mem @ V2187e5 @ A_27a )
% 5.55/5.83 & ? [V2188e6: $i] :
% 5.55/5.83 ( ( mem @ V2188e6 @ A_27a )
% 5.55/5.83 & ? [V2189e7: $i] :
% 5.55/5.83 ( ( mem @ V2189e7 @ A_27a )
% 5.55/5.83 & ? [V2190e8: $i] :
% 5.55/5.83 ( ( mem @ V2190e8 @ A_27a )
% 5.55/5.83 & ? [V2191e9: $i] :
% 5.55/5.83 ( ( mem @ V2191e9 @ A_27a )
% 5.55/5.83 & ? [V2192e10: $i] :
% 5.55/5.83 ( ( mem @ V2192e10 @ A_27a )
% 5.55/5.83 & ? [V2193e11: $i] :
% 5.55/5.83 ( ( mem @ V2193e11 @ A_27a )
% 5.55/5.83 & ? [V2194e12: $i] :
% 5.55/5.83 ( ( mem @ V2194e12 @ A_27a )
% 5.55/5.83 & ? [V2195e13: $i] :
% 5.55/5.83 ( ( mem @ V2195e13 @ A_27a )
% 5.55/5.83 & ? [V2196e14: $i] :
% 5.55/5.83 ( ( mem @ V2196e14 @ A_27a )
% 5.55/5.83 & ? [V2197e15: $i] :
% 5.55/5.83 ( ( mem @ V2197e15 @ A_27a )
% 5.55/5.83 & ? [V2198e16: $i] :
% 5.55/5.83 ( ( mem @ V2198e16 @ A_27a )
% 5.55/5.83 & ? [V2199e17: $i] :
% 5.55/5.83 ( ( mem @ V2199e17 @ A_27a )
% 5.55/5.83 & ? [V2200e18: $i] :
% 5.55/5.83 ( ( mem @ V2200e18 @ A_27a )
% 5.55/5.83 & ? [V2201e19: $i] :
% 5.55/5.83 ( ( mem @ V2201e19 @ A_27a )
% 5.55/5.83 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2182l_27 ) )
% 5.55/5.83 = V1x )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2183e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2184e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2185e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2186e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2187e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2188e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2189e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2190e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2191e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2192e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2193e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2194e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2195e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2196e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2197e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2198e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2199e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2200e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2201e19 ) @ V2182l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.83 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) )
% 5.55/5.83 <=> ? [V2202l_27: $i] :
% 5.55/5.83 ( ( mem @ V2202l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.83 & ? [V2203e1: $i] :
% 5.55/5.83 ( ( mem @ V2203e1 @ A_27a )
% 5.55/5.83 & ? [V2204e2: $i] :
% 5.55/5.83 ( ( mem @ V2204e2 @ A_27a )
% 5.55/5.83 & ? [V2205e3: $i] :
% 5.55/5.83 ( ( mem @ V2205e3 @ A_27a )
% 5.55/5.83 & ? [V2206e4: $i] :
% 5.55/5.83 ( ( mem @ V2206e4 @ A_27a )
% 5.55/5.83 & ? [V2207e5: $i] :
% 5.55/5.83 ( ( mem @ V2207e5 @ A_27a )
% 5.55/5.83 & ? [V2208e6: $i] :
% 5.55/5.83 ( ( mem @ V2208e6 @ A_27a )
% 5.55/5.83 & ? [V2209e7: $i] :
% 5.55/5.83 ( ( mem @ V2209e7 @ A_27a )
% 5.55/5.83 & ? [V2210e8: $i] :
% 5.55/5.83 ( ( mem @ V2210e8 @ A_27a )
% 5.55/5.83 & ? [V2211e9: $i] :
% 5.55/5.83 ( ( mem @ V2211e9 @ A_27a )
% 5.55/5.83 & ? [V2212e10: $i] :
% 5.55/5.83 ( ( mem @ V2212e10 @ A_27a )
% 5.55/5.83 & ? [V2213e11: $i] :
% 5.55/5.83 ( ( mem @ V2213e11 @ A_27a )
% 5.55/5.83 & ? [V2214e12: $i] :
% 5.55/5.83 ( ( mem @ V2214e12 @ A_27a )
% 5.55/5.83 & ? [V2215e13: $i] :
% 5.55/5.83 ( ( mem @ V2215e13 @ A_27a )
% 5.55/5.83 & ? [V2216e14: $i] :
% 5.55/5.83 ( ( mem @ V2216e14 @ A_27a )
% 5.55/5.83 & ? [V2217e15: $i] :
% 5.55/5.83 ( ( mem @ V2217e15 @ A_27a )
% 5.55/5.83 & ? [V2218e16: $i] :
% 5.55/5.83 ( ( mem @ V2218e16 @ A_27a )
% 5.55/5.83 & ? [V2219e17: $i] :
% 5.55/5.83 ( ( mem @ V2219e17 @ A_27a )
% 5.55/5.83 & ? [V2220e18: $i] :
% 5.55/5.83 ( ( mem @ V2220e18 @ A_27a )
% 5.55/5.83 & ? [V2221e19: $i] :
% 5.55/5.83 ( ( mem @ V2221e19 @ A_27a )
% 5.55/5.83 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2202l_27 ) )
% 5.55/5.83 = V1x )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2203e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2204e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2205e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2206e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2207e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2208e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2209e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2210e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2211e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2212e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2213e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2214e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2215e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2216e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2217e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2218e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2219e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2220e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2221e19 ) @ V2202l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.83 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.83 <=> ? [V2222l_27: $i] :
% 5.55/5.83 ( ( mem @ V2222l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.83 & ? [V2223e1: $i] :
% 5.55/5.83 ( ( mem @ V2223e1 @ A_27a )
% 5.55/5.83 & ? [V2224e2: $i] :
% 5.55/5.83 ( ( mem @ V2224e2 @ A_27a )
% 5.55/5.83 & ? [V2225e3: $i] :
% 5.55/5.83 ( ( mem @ V2225e3 @ A_27a )
% 5.55/5.83 & ? [V2226e4: $i] :
% 5.55/5.83 ( ( mem @ V2226e4 @ A_27a )
% 5.55/5.83 & ? [V2227e5: $i] :
% 5.55/5.83 ( ( mem @ V2227e5 @ A_27a )
% 5.55/5.83 & ? [V2228e6: $i] :
% 5.55/5.83 ( ( mem @ V2228e6 @ A_27a )
% 5.55/5.83 & ? [V2229e7: $i] :
% 5.55/5.83 ( ( mem @ V2229e7 @ A_27a )
% 5.55/5.83 & ? [V2230e8: $i] :
% 5.55/5.83 ( ( mem @ V2230e8 @ A_27a )
% 5.55/5.83 & ? [V2231e9: $i] :
% 5.55/5.83 ( ( mem @ V2231e9 @ A_27a )
% 5.55/5.83 & ? [V2232e10: $i] :
% 5.55/5.83 ( ( mem @ V2232e10 @ A_27a )
% 5.55/5.83 & ? [V2233e11: $i] :
% 5.55/5.83 ( ( mem @ V2233e11 @ A_27a )
% 5.55/5.83 & ? [V2234e12: $i] :
% 5.55/5.83 ( ( mem @ V2234e12 @ A_27a )
% 5.55/5.83 & ? [V2235e13: $i] :
% 5.55/5.83 ( ( mem @ V2235e13 @ A_27a )
% 5.55/5.83 & ? [V2236e14: $i] :
% 5.55/5.83 ( ( mem @ V2236e14 @ A_27a )
% 5.55/5.83 & ? [V2237e15: $i] :
% 5.55/5.83 ( ( mem @ V2237e15 @ A_27a )
% 5.55/5.83 & ? [V2238e16: $i] :
% 5.55/5.83 ( ( mem @ V2238e16 @ A_27a )
% 5.55/5.83 & ? [V2239e17: $i] :
% 5.55/5.83 ( ( mem @ V2239e17 @ A_27a )
% 5.55/5.83 & ? [V2240e18: $i] :
% 5.55/5.83 ( ( mem @ V2240e18 @ A_27a )
% 5.55/5.83 & ? [V2241e19: $i] :
% 5.55/5.83 ( ( mem @ V2241e19 @ A_27a )
% 5.55/5.83 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2222l_27 ) )
% 5.55/5.83 = V1x )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2223e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2224e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2225e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2226e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2227e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2228e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2229e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2230e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2231e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2232e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2233e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2234e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2235e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2236e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2237e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2238e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2239e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2240e18 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2241e19 ) @ V2222l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.83 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.83 <=> ? [V2242e1: $i] :
% 5.55/5.83 ( ( mem @ V2242e1 @ A_27a )
% 5.55/5.83 & ? [V2243e2: $i] :
% 5.55/5.83 ( ( mem @ V2243e2 @ A_27a )
% 5.55/5.83 & ? [V2244e3: $i] :
% 5.55/5.83 ( ( mem @ V2244e3 @ A_27a )
% 5.55/5.83 & ? [V2245e4: $i] :
% 5.55/5.83 ( ( mem @ V2245e4 @ A_27a )
% 5.55/5.83 & ? [V2246e5: $i] :
% 5.55/5.83 ( ( mem @ V2246e5 @ A_27a )
% 5.55/5.83 & ? [V2247e6: $i] :
% 5.55/5.83 ( ( mem @ V2247e6 @ A_27a )
% 5.55/5.83 & ? [V2248e7: $i] :
% 5.55/5.83 ( ( mem @ V2248e7 @ A_27a )
% 5.55/5.83 & ? [V2249e8: $i] :
% 5.55/5.83 ( ( mem @ V2249e8 @ A_27a )
% 5.55/5.83 & ? [V2250e9: $i] :
% 5.55/5.83 ( ( mem @ V2250e9 @ A_27a )
% 5.55/5.83 & ? [V2251e10: $i] :
% 5.55/5.83 ( ( mem @ V2251e10 @ A_27a )
% 5.55/5.83 & ? [V2252e11: $i] :
% 5.55/5.83 ( ( mem @ V2252e11 @ A_27a )
% 5.55/5.83 & ? [V2253e12: $i] :
% 5.55/5.83 ( ( mem @ V2253e12 @ A_27a )
% 5.55/5.83 & ? [V2254e13: $i] :
% 5.55/5.83 ( ( mem @ V2254e13 @ A_27a )
% 5.55/5.83 & ? [V2255e14: $i] :
% 5.55/5.83 ( ( mem @ V2255e14 @ A_27a )
% 5.55/5.83 & ? [V2256e15: $i] :
% 5.55/5.83 ( ( mem @ V2256e15 @ A_27a )
% 5.55/5.83 & ? [V2257e16: $i] :
% 5.55/5.83 ( ( mem @ V2257e16 @ A_27a )
% 5.55/5.83 & ? [V2258e17: $i] :
% 5.55/5.83 ( ( mem @ V2258e17 @ A_27a )
% 5.55/5.83 & ? [V2259e18: $i] :
% 5.55/5.83 ( ( mem @ V2259e18 @ A_27a )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2242e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2243e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2244e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2245e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2246e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2247e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2248e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2249e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2250e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2251e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2252e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2253e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2254e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2255e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2256e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2257e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2258e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2259e18 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.83 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.83 <=> ? [V2260e1: $i] :
% 5.55/5.83 ( ( mem @ V2260e1 @ A_27a )
% 5.55/5.83 & ? [V2261e2: $i] :
% 5.55/5.83 ( ( mem @ V2261e2 @ A_27a )
% 5.55/5.83 & ? [V2262e3: $i] :
% 5.55/5.83 ( ( mem @ V2262e3 @ A_27a )
% 5.55/5.83 & ? [V2263e4: $i] :
% 5.55/5.83 ( ( mem @ V2263e4 @ A_27a )
% 5.55/5.83 & ? [V2264e5: $i] :
% 5.55/5.83 ( ( mem @ V2264e5 @ A_27a )
% 5.55/5.83 & ? [V2265e6: $i] :
% 5.55/5.83 ( ( mem @ V2265e6 @ A_27a )
% 5.55/5.83 & ? [V2266e7: $i] :
% 5.55/5.83 ( ( mem @ V2266e7 @ A_27a )
% 5.55/5.83 & ? [V2267e8: $i] :
% 5.55/5.83 ( ( mem @ V2267e8 @ A_27a )
% 5.55/5.83 & ? [V2268e9: $i] :
% 5.55/5.83 ( ( mem @ V2268e9 @ A_27a )
% 5.55/5.83 & ? [V2269e10: $i] :
% 5.55/5.83 ( ( mem @ V2269e10 @ A_27a )
% 5.55/5.83 & ? [V2270e11: $i] :
% 5.55/5.83 ( ( mem @ V2270e11 @ A_27a )
% 5.55/5.83 & ? [V2271e12: $i] :
% 5.55/5.83 ( ( mem @ V2271e12 @ A_27a )
% 5.55/5.83 & ? [V2272e13: $i] :
% 5.55/5.83 ( ( mem @ V2272e13 @ A_27a )
% 5.55/5.83 & ? [V2273e14: $i] :
% 5.55/5.83 ( ( mem @ V2273e14 @ A_27a )
% 5.55/5.83 & ? [V2274e15: $i] :
% 5.55/5.83 ( ( mem @ V2274e15 @ A_27a )
% 5.55/5.83 & ? [V2275e16: $i] :
% 5.55/5.83 ( ( mem @ V2275e16 @ A_27a )
% 5.55/5.83 & ? [V2276e17: $i] :
% 5.55/5.83 ( ( mem @ V2276e17 @ A_27a )
% 5.55/5.83 & ? [V2277e18: $i] :
% 5.55/5.83 ( ( mem @ V2277e18 @ A_27a )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2260e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2261e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2262e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2263e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2264e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2265e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2266e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2267e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2268e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2269e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2270e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2271e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2272e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2273e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2274e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2275e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2276e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2277e18 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.83 <=> ? [V2278l_27: $i] :
% 5.55/5.83 ( ( mem @ V2278l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.83 & ? [V2279e1: $i] :
% 5.55/5.83 ( ( mem @ V2279e1 @ A_27a )
% 5.55/5.83 & ? [V2280e2: $i] :
% 5.55/5.83 ( ( mem @ V2280e2 @ A_27a )
% 5.55/5.83 & ? [V2281e3: $i] :
% 5.55/5.83 ( ( mem @ V2281e3 @ A_27a )
% 5.55/5.83 & ? [V2282e4: $i] :
% 5.55/5.83 ( ( mem @ V2282e4 @ A_27a )
% 5.55/5.83 & ? [V2283e5: $i] :
% 5.55/5.83 ( ( mem @ V2283e5 @ A_27a )
% 5.55/5.83 & ? [V2284e6: $i] :
% 5.55/5.83 ( ( mem @ V2284e6 @ A_27a )
% 5.55/5.83 & ? [V2285e7: $i] :
% 5.55/5.83 ( ( mem @ V2285e7 @ A_27a )
% 5.55/5.83 & ? [V2286e8: $i] :
% 5.55/5.83 ( ( mem @ V2286e8 @ A_27a )
% 5.55/5.83 & ? [V2287e9: $i] :
% 5.55/5.83 ( ( mem @ V2287e9 @ A_27a )
% 5.55/5.83 & ? [V2288e10: $i] :
% 5.55/5.83 ( ( mem @ V2288e10 @ A_27a )
% 5.55/5.83 & ? [V2289e11: $i] :
% 5.55/5.83 ( ( mem @ V2289e11 @ A_27a )
% 5.55/5.83 & ? [V2290e12: $i] :
% 5.55/5.83 ( ( mem @ V2290e12 @ A_27a )
% 5.55/5.83 & ? [V2291e13: $i] :
% 5.55/5.83 ( ( mem @ V2291e13 @ A_27a )
% 5.55/5.83 & ? [V2292e14: $i] :
% 5.55/5.83 ( ( mem @ V2292e14 @ A_27a )
% 5.55/5.83 & ? [V2293e15: $i] :
% 5.55/5.83 ( ( mem @ V2293e15 @ A_27a )
% 5.55/5.83 & ? [V2294e16: $i] :
% 5.55/5.83 ( ( mem @ V2294e16 @ A_27a )
% 5.55/5.83 & ? [V2295e17: $i] :
% 5.55/5.83 ( ( mem @ V2295e17 @ A_27a )
% 5.55/5.83 & ? [V2296e18: $i] :
% 5.55/5.83 ( ( mem @ V2296e18 @ A_27a )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2279e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2280e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2281e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2282e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2283e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2284e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2285e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2286e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2287e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2288e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2289e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2290e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2291e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2292e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2293e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2294e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2295e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2296e18 ) @ V2278l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.83 <=> ? [V2297l_27: $i] :
% 5.55/5.83 ( ( mem @ V2297l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.83 & ? [V2298e1: $i] :
% 5.55/5.83 ( ( mem @ V2298e1 @ A_27a )
% 5.55/5.83 & ? [V2299e2: $i] :
% 5.55/5.83 ( ( mem @ V2299e2 @ A_27a )
% 5.55/5.83 & ? [V2300e3: $i] :
% 5.55/5.83 ( ( mem @ V2300e3 @ A_27a )
% 5.55/5.83 & ? [V2301e4: $i] :
% 5.55/5.83 ( ( mem @ V2301e4 @ A_27a )
% 5.55/5.83 & ? [V2302e5: $i] :
% 5.55/5.83 ( ( mem @ V2302e5 @ A_27a )
% 5.55/5.83 & ? [V2303e6: $i] :
% 5.55/5.83 ( ( mem @ V2303e6 @ A_27a )
% 5.55/5.83 & ? [V2304e7: $i] :
% 5.55/5.83 ( ( mem @ V2304e7 @ A_27a )
% 5.55/5.83 & ? [V2305e8: $i] :
% 5.55/5.83 ( ( mem @ V2305e8 @ A_27a )
% 5.55/5.83 & ? [V2306e9: $i] :
% 5.55/5.83 ( ( mem @ V2306e9 @ A_27a )
% 5.55/5.83 & ? [V2307e10: $i] :
% 5.55/5.83 ( ( mem @ V2307e10 @ A_27a )
% 5.55/5.83 & ? [V2308e11: $i] :
% 5.55/5.83 ( ( mem @ V2308e11 @ A_27a )
% 5.55/5.83 & ? [V2309e12: $i] :
% 5.55/5.83 ( ( mem @ V2309e12 @ A_27a )
% 5.55/5.83 & ? [V2310e13: $i] :
% 5.55/5.83 ( ( mem @ V2310e13 @ A_27a )
% 5.55/5.83 & ? [V2311e14: $i] :
% 5.55/5.83 ( ( mem @ V2311e14 @ A_27a )
% 5.55/5.83 & ? [V2312e15: $i] :
% 5.55/5.83 ( ( mem @ V2312e15 @ A_27a )
% 5.55/5.83 & ? [V2313e16: $i] :
% 5.55/5.83 ( ( mem @ V2313e16 @ A_27a )
% 5.55/5.83 & ? [V2314e17: $i] :
% 5.55/5.83 ( ( mem @ V2314e17 @ A_27a )
% 5.55/5.83 & ? [V2315e18: $i] :
% 5.55/5.83 ( ( mem @ V2315e18 @ A_27a )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2298e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2299e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2300e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2301e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2302e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2303e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2304e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2305e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2306e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2307e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2308e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2309e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2310e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2311e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2312e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2313e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2314e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2315e18 ) @ V2297l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.83 <=> ? [V2316l_27: $i] :
% 5.55/5.83 ( ( mem @ V2316l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.83 & ? [V2317e1: $i] :
% 5.55/5.83 ( ( mem @ V2317e1 @ A_27a )
% 5.55/5.83 & ? [V2318e2: $i] :
% 5.55/5.83 ( ( mem @ V2318e2 @ A_27a )
% 5.55/5.83 & ? [V2319e3: $i] :
% 5.55/5.83 ( ( mem @ V2319e3 @ A_27a )
% 5.55/5.83 & ? [V2320e4: $i] :
% 5.55/5.83 ( ( mem @ V2320e4 @ A_27a )
% 5.55/5.83 & ? [V2321e5: $i] :
% 5.55/5.83 ( ( mem @ V2321e5 @ A_27a )
% 5.55/5.83 & ? [V2322e6: $i] :
% 5.55/5.83 ( ( mem @ V2322e6 @ A_27a )
% 5.55/5.83 & ? [V2323e7: $i] :
% 5.55/5.83 ( ( mem @ V2323e7 @ A_27a )
% 5.55/5.83 & ? [V2324e8: $i] :
% 5.55/5.83 ( ( mem @ V2324e8 @ A_27a )
% 5.55/5.83 & ? [V2325e9: $i] :
% 5.55/5.83 ( ( mem @ V2325e9 @ A_27a )
% 5.55/5.83 & ? [V2326e10: $i] :
% 5.55/5.83 ( ( mem @ V2326e10 @ A_27a )
% 5.55/5.83 & ? [V2327e11: $i] :
% 5.55/5.83 ( ( mem @ V2327e11 @ A_27a )
% 5.55/5.83 & ? [V2328e12: $i] :
% 5.55/5.83 ( ( mem @ V2328e12 @ A_27a )
% 5.55/5.83 & ? [V2329e13: $i] :
% 5.55/5.83 ( ( mem @ V2329e13 @ A_27a )
% 5.55/5.83 & ? [V2330e14: $i] :
% 5.55/5.83 ( ( mem @ V2330e14 @ A_27a )
% 5.55/5.83 & ? [V2331e15: $i] :
% 5.55/5.83 ( ( mem @ V2331e15 @ A_27a )
% 5.55/5.83 & ? [V2332e16: $i] :
% 5.55/5.83 ( ( mem @ V2332e16 @ A_27a )
% 5.55/5.83 & ? [V2333e17: $i] :
% 5.55/5.83 ( ( mem @ V2333e17 @ A_27a )
% 5.55/5.83 & ? [V2334e18: $i] :
% 5.55/5.83 ( ( mem @ V2334e18 @ A_27a )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2317e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2318e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2319e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2320e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2321e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2322e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2323e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2324e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2325e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2326e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2327e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2328e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2329e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2330e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2331e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2332e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2333e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2334e18 ) @ V2316l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.83 <=> ? [V2335l_27: $i] :
% 5.55/5.83 ( ( mem @ V2335l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.83 & ? [V2336e1: $i] :
% 5.55/5.83 ( ( mem @ V2336e1 @ A_27a )
% 5.55/5.83 & ? [V2337e2: $i] :
% 5.55/5.83 ( ( mem @ V2337e2 @ A_27a )
% 5.55/5.83 & ? [V2338e3: $i] :
% 5.55/5.83 ( ( mem @ V2338e3 @ A_27a )
% 5.55/5.83 & ? [V2339e4: $i] :
% 5.55/5.83 ( ( mem @ V2339e4 @ A_27a )
% 5.55/5.83 & ? [V2340e5: $i] :
% 5.55/5.83 ( ( mem @ V2340e5 @ A_27a )
% 5.55/5.83 & ? [V2341e6: $i] :
% 5.55/5.83 ( ( mem @ V2341e6 @ A_27a )
% 5.55/5.83 & ? [V2342e7: $i] :
% 5.55/5.83 ( ( mem @ V2342e7 @ A_27a )
% 5.55/5.83 & ? [V2343e8: $i] :
% 5.55/5.83 ( ( mem @ V2343e8 @ A_27a )
% 5.55/5.83 & ? [V2344e9: $i] :
% 5.55/5.83 ( ( mem @ V2344e9 @ A_27a )
% 5.55/5.83 & ? [V2345e10: $i] :
% 5.55/5.83 ( ( mem @ V2345e10 @ A_27a )
% 5.55/5.83 & ? [V2346e11: $i] :
% 5.55/5.83 ( ( mem @ V2346e11 @ A_27a )
% 5.55/5.83 & ? [V2347e12: $i] :
% 5.55/5.83 ( ( mem @ V2347e12 @ A_27a )
% 5.55/5.83 & ? [V2348e13: $i] :
% 5.55/5.83 ( ( mem @ V2348e13 @ A_27a )
% 5.55/5.83 & ? [V2349e14: $i] :
% 5.55/5.83 ( ( mem @ V2349e14 @ A_27a )
% 5.55/5.83 & ? [V2350e15: $i] :
% 5.55/5.83 ( ( mem @ V2350e15 @ A_27a )
% 5.55/5.83 & ? [V2351e16: $i] :
% 5.55/5.83 ( ( mem @ V2351e16 @ A_27a )
% 5.55/5.83 & ? [V2352e17: $i] :
% 5.55/5.83 ( ( mem @ V2352e17 @ A_27a )
% 5.55/5.83 & ? [V2353e18: $i] :
% 5.55/5.83 ( ( mem @ V2353e18 @ A_27a )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2336e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2337e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2338e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2339e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2340e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2341e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2342e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2343e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2344e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2345e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2346e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2347e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2348e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2349e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2350e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2351e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2352e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2353e18 ) @ V2335l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.83 <=> ? [V2354l_27: $i] :
% 5.55/5.83 ( ( mem @ V2354l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.83 & ? [V2355e1: $i] :
% 5.55/5.83 ( ( mem @ V2355e1 @ A_27a )
% 5.55/5.83 & ? [V2356e2: $i] :
% 5.55/5.83 ( ( mem @ V2356e2 @ A_27a )
% 5.55/5.83 & ? [V2357e3: $i] :
% 5.55/5.83 ( ( mem @ V2357e3 @ A_27a )
% 5.55/5.83 & ? [V2358e4: $i] :
% 5.55/5.83 ( ( mem @ V2358e4 @ A_27a )
% 5.55/5.83 & ? [V2359e5: $i] :
% 5.55/5.83 ( ( mem @ V2359e5 @ A_27a )
% 5.55/5.83 & ? [V2360e6: $i] :
% 5.55/5.83 ( ( mem @ V2360e6 @ A_27a )
% 5.55/5.83 & ? [V2361e7: $i] :
% 5.55/5.83 ( ( mem @ V2361e7 @ A_27a )
% 5.55/5.83 & ? [V2362e8: $i] :
% 5.55/5.83 ( ( mem @ V2362e8 @ A_27a )
% 5.55/5.83 & ? [V2363e9: $i] :
% 5.55/5.83 ( ( mem @ V2363e9 @ A_27a )
% 5.55/5.83 & ? [V2364e10: $i] :
% 5.55/5.83 ( ( mem @ V2364e10 @ A_27a )
% 5.55/5.83 & ? [V2365e11: $i] :
% 5.55/5.83 ( ( mem @ V2365e11 @ A_27a )
% 5.55/5.83 & ? [V2366e12: $i] :
% 5.55/5.83 ( ( mem @ V2366e12 @ A_27a )
% 5.55/5.83 & ? [V2367e13: $i] :
% 5.55/5.83 ( ( mem @ V2367e13 @ A_27a )
% 5.55/5.83 & ? [V2368e14: $i] :
% 5.55/5.83 ( ( mem @ V2368e14 @ A_27a )
% 5.55/5.83 & ? [V2369e15: $i] :
% 5.55/5.83 ( ( mem @ V2369e15 @ A_27a )
% 5.55/5.83 & ? [V2370e16: $i] :
% 5.55/5.83 ( ( mem @ V2370e16 @ A_27a )
% 5.55/5.83 & ? [V2371e17: $i] :
% 5.55/5.83 ( ( mem @ V2371e17 @ A_27a )
% 5.55/5.83 & ? [V2372e18: $i] :
% 5.55/5.83 ( ( mem @ V2372e18 @ A_27a )
% 5.55/5.83 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2354l_27 ) ) )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2355e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2356e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2357e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2358e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2359e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2360e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2361e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2362e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2363e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2364e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2365e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2366e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2367e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2368e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2369e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2370e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2371e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2372e18 ) @ V2354l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.83 <=> ? [V2373l_27: $i] :
% 5.55/5.83 ( ( mem @ V2373l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.83 & ? [V2374e1: $i] :
% 5.55/5.83 ( ( mem @ V2374e1 @ A_27a )
% 5.55/5.83 & ? [V2375e2: $i] :
% 5.55/5.83 ( ( mem @ V2375e2 @ A_27a )
% 5.55/5.83 & ? [V2376e3: $i] :
% 5.55/5.83 ( ( mem @ V2376e3 @ A_27a )
% 5.55/5.83 & ? [V2377e4: $i] :
% 5.55/5.83 ( ( mem @ V2377e4 @ A_27a )
% 5.55/5.83 & ? [V2378e5: $i] :
% 5.55/5.83 ( ( mem @ V2378e5 @ A_27a )
% 5.55/5.83 & ? [V2379e6: $i] :
% 5.55/5.83 ( ( mem @ V2379e6 @ A_27a )
% 5.55/5.83 & ? [V2380e7: $i] :
% 5.55/5.83 ( ( mem @ V2380e7 @ A_27a )
% 5.55/5.83 & ? [V2381e8: $i] :
% 5.55/5.83 ( ( mem @ V2381e8 @ A_27a )
% 5.55/5.83 & ? [V2382e9: $i] :
% 5.55/5.83 ( ( mem @ V2382e9 @ A_27a )
% 5.55/5.83 & ? [V2383e10: $i] :
% 5.55/5.83 ( ( mem @ V2383e10 @ A_27a )
% 5.55/5.83 & ? [V2384e11: $i] :
% 5.55/5.83 ( ( mem @ V2384e11 @ A_27a )
% 5.55/5.83 & ? [V2385e12: $i] :
% 5.55/5.83 ( ( mem @ V2385e12 @ A_27a )
% 5.55/5.83 & ? [V2386e13: $i] :
% 5.55/5.83 ( ( mem @ V2386e13 @ A_27a )
% 5.55/5.83 & ? [V2387e14: $i] :
% 5.55/5.83 ( ( mem @ V2387e14 @ A_27a )
% 5.55/5.83 & ? [V2388e15: $i] :
% 5.55/5.83 ( ( mem @ V2388e15 @ A_27a )
% 5.55/5.83 & ? [V2389e16: $i] :
% 5.55/5.83 ( ( mem @ V2389e16 @ A_27a )
% 5.55/5.83 & ? [V2390e17: $i] :
% 5.55/5.83 ( ( mem @ V2390e17 @ A_27a )
% 5.55/5.83 & ? [V2391e18: $i] :
% 5.55/5.83 ( ( mem @ V2391e18 @ A_27a )
% 5.55/5.83 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2373l_27 ) ) )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2374e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2375e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2376e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2377e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2378e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2379e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2380e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2381e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2382e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2383e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2384e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2385e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2386e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2387e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2388e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2389e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2390e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2391e18 ) @ V2373l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.83 <=> ? [V2392l_27: $i] :
% 5.55/5.83 ( ( mem @ V2392l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.83 & ? [V2393e1: $i] :
% 5.55/5.83 ( ( mem @ V2393e1 @ A_27a )
% 5.55/5.83 & ? [V2394e2: $i] :
% 5.55/5.83 ( ( mem @ V2394e2 @ A_27a )
% 5.55/5.83 & ? [V2395e3: $i] :
% 5.55/5.83 ( ( mem @ V2395e3 @ A_27a )
% 5.55/5.83 & ? [V2396e4: $i] :
% 5.55/5.83 ( ( mem @ V2396e4 @ A_27a )
% 5.55/5.83 & ? [V2397e5: $i] :
% 5.55/5.83 ( ( mem @ V2397e5 @ A_27a )
% 5.55/5.83 & ? [V2398e6: $i] :
% 5.55/5.83 ( ( mem @ V2398e6 @ A_27a )
% 5.55/5.83 & ? [V2399e7: $i] :
% 5.55/5.83 ( ( mem @ V2399e7 @ A_27a )
% 5.55/5.83 & ? [V2400e8: $i] :
% 5.55/5.83 ( ( mem @ V2400e8 @ A_27a )
% 5.55/5.83 & ? [V2401e9: $i] :
% 5.55/5.83 ( ( mem @ V2401e9 @ A_27a )
% 5.55/5.83 & ? [V2402e10: $i] :
% 5.55/5.83 ( ( mem @ V2402e10 @ A_27a )
% 5.55/5.83 & ? [V2403e11: $i] :
% 5.55/5.83 ( ( mem @ V2403e11 @ A_27a )
% 5.55/5.83 & ? [V2404e12: $i] :
% 5.55/5.83 ( ( mem @ V2404e12 @ A_27a )
% 5.55/5.83 & ? [V2405e13: $i] :
% 5.55/5.83 ( ( mem @ V2405e13 @ A_27a )
% 5.55/5.83 & ? [V2406e14: $i] :
% 5.55/5.83 ( ( mem @ V2406e14 @ A_27a )
% 5.55/5.83 & ? [V2407e15: $i] :
% 5.55/5.83 ( ( mem @ V2407e15 @ A_27a )
% 5.55/5.83 & ? [V2408e16: $i] :
% 5.55/5.83 ( ( mem @ V2408e16 @ A_27a )
% 5.55/5.83 & ? [V2409e17: $i] :
% 5.55/5.83 ( ( mem @ V2409e17 @ A_27a )
% 5.55/5.83 & ? [V2410e18: $i] :
% 5.55/5.83 ( ( mem @ V2410e18 @ A_27a )
% 5.55/5.83 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2392l_27 ) ) )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2393e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2394e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2395e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2396e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2397e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2398e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2399e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2400e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2401e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2402e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2403e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2404e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2405e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2406e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2407e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2408e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2409e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2410e18 ) @ V2392l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) )
% 5.55/5.83 <=> ? [V2411l_27: $i] :
% 5.55/5.83 ( ( mem @ V2411l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.83 & ? [V2412e1: $i] :
% 5.55/5.83 ( ( mem @ V2412e1 @ A_27a )
% 5.55/5.83 & ? [V2413e2: $i] :
% 5.55/5.83 ( ( mem @ V2413e2 @ A_27a )
% 5.55/5.83 & ? [V2414e3: $i] :
% 5.55/5.83 ( ( mem @ V2414e3 @ A_27a )
% 5.55/5.83 & ? [V2415e4: $i] :
% 5.55/5.83 ( ( mem @ V2415e4 @ A_27a )
% 5.55/5.83 & ? [V2416e5: $i] :
% 5.55/5.83 ( ( mem @ V2416e5 @ A_27a )
% 5.55/5.83 & ? [V2417e6: $i] :
% 5.55/5.83 ( ( mem @ V2417e6 @ A_27a )
% 5.55/5.83 & ? [V2418e7: $i] :
% 5.55/5.83 ( ( mem @ V2418e7 @ A_27a )
% 5.55/5.83 & ? [V2419e8: $i] :
% 5.55/5.83 ( ( mem @ V2419e8 @ A_27a )
% 5.55/5.83 & ? [V2420e9: $i] :
% 5.55/5.83 ( ( mem @ V2420e9 @ A_27a )
% 5.55/5.83 & ? [V2421e10: $i] :
% 5.55/5.83 ( ( mem @ V2421e10 @ A_27a )
% 5.55/5.83 & ? [V2422e11: $i] :
% 5.55/5.83 ( ( mem @ V2422e11 @ A_27a )
% 5.55/5.83 & ? [V2423e12: $i] :
% 5.55/5.83 ( ( mem @ V2423e12 @ A_27a )
% 5.55/5.83 & ? [V2424e13: $i] :
% 5.55/5.83 ( ( mem @ V2424e13 @ A_27a )
% 5.55/5.83 & ? [V2425e14: $i] :
% 5.55/5.83 ( ( mem @ V2425e14 @ A_27a )
% 5.55/5.83 & ? [V2426e15: $i] :
% 5.55/5.83 ( ( mem @ V2426e15 @ A_27a )
% 5.55/5.83 & ? [V2427e16: $i] :
% 5.55/5.83 ( ( mem @ V2427e16 @ A_27a )
% 5.55/5.83 & ? [V2428e17: $i] :
% 5.55/5.83 ( ( mem @ V2428e17 @ A_27a )
% 5.55/5.83 & ? [V2429e18: $i] :
% 5.55/5.83 ( ( mem @ V2429e18 @ A_27a )
% 5.55/5.83 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2411l_27 ) ) )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2412e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2413e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2414e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2415e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2416e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2417e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2418e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2419e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2420e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2421e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2422e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2423e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2424e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2425e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2426e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2427e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2428e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2429e18 ) @ V2411l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.83 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.83 <=> ? [V2430l_27: $i] :
% 5.55/5.83 ( ( mem @ V2430l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.83 & ? [V2431e1: $i] :
% 5.55/5.83 ( ( mem @ V2431e1 @ A_27a )
% 5.55/5.83 & ? [V2432e2: $i] :
% 5.55/5.83 ( ( mem @ V2432e2 @ A_27a )
% 5.55/5.83 & ? [V2433e3: $i] :
% 5.55/5.83 ( ( mem @ V2433e3 @ A_27a )
% 5.55/5.83 & ? [V2434e4: $i] :
% 5.55/5.83 ( ( mem @ V2434e4 @ A_27a )
% 5.55/5.83 & ? [V2435e5: $i] :
% 5.55/5.83 ( ( mem @ V2435e5 @ A_27a )
% 5.55/5.83 & ? [V2436e6: $i] :
% 5.55/5.83 ( ( mem @ V2436e6 @ A_27a )
% 5.55/5.83 & ? [V2437e7: $i] :
% 5.55/5.83 ( ( mem @ V2437e7 @ A_27a )
% 5.55/5.83 & ? [V2438e8: $i] :
% 5.55/5.83 ( ( mem @ V2438e8 @ A_27a )
% 5.55/5.83 & ? [V2439e9: $i] :
% 5.55/5.83 ( ( mem @ V2439e9 @ A_27a )
% 5.55/5.83 & ? [V2440e10: $i] :
% 5.55/5.83 ( ( mem @ V2440e10 @ A_27a )
% 5.55/5.83 & ? [V2441e11: $i] :
% 5.55/5.83 ( ( mem @ V2441e11 @ A_27a )
% 5.55/5.83 & ? [V2442e12: $i] :
% 5.55/5.83 ( ( mem @ V2442e12 @ A_27a )
% 5.55/5.83 & ? [V2443e13: $i] :
% 5.55/5.83 ( ( mem @ V2443e13 @ A_27a )
% 5.55/5.83 & ? [V2444e14: $i] :
% 5.55/5.83 ( ( mem @ V2444e14 @ A_27a )
% 5.55/5.83 & ? [V2445e15: $i] :
% 5.55/5.83 ( ( mem @ V2445e15 @ A_27a )
% 5.55/5.83 & ? [V2446e16: $i] :
% 5.55/5.83 ( ( mem @ V2446e16 @ A_27a )
% 5.55/5.83 & ? [V2447e17: $i] :
% 5.55/5.83 ( ( mem @ V2447e17 @ A_27a )
% 5.55/5.83 & ? [V2448e18: $i] :
% 5.55/5.83 ( ( mem @ V2448e18 @ A_27a )
% 5.55/5.83 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2430l_27 ) )
% 5.55/5.83 = V1x )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2431e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2432e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2433e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2434e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2435e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2436e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2437e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2438e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2439e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2440e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2441e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2442e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2443e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2444e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2445e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2446e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2447e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2448e18 ) @ V2430l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.55/5.83 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.83 <=> ? [V2449l_27: $i] :
% 5.55/5.83 ( ( mem @ V2449l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.83 & ? [V2450e1: $i] :
% 5.55/5.83 ( ( mem @ V2450e1 @ A_27a )
% 5.55/5.83 & ? [V2451e2: $i] :
% 5.55/5.83 ( ( mem @ V2451e2 @ A_27a )
% 5.55/5.83 & ? [V2452e3: $i] :
% 5.55/5.83 ( ( mem @ V2452e3 @ A_27a )
% 5.55/5.83 & ? [V2453e4: $i] :
% 5.55/5.83 ( ( mem @ V2453e4 @ A_27a )
% 5.55/5.83 & ? [V2454e5: $i] :
% 5.55/5.83 ( ( mem @ V2454e5 @ A_27a )
% 5.55/5.83 & ? [V2455e6: $i] :
% 5.55/5.83 ( ( mem @ V2455e6 @ A_27a )
% 5.55/5.83 & ? [V2456e7: $i] :
% 5.55/5.83 ( ( mem @ V2456e7 @ A_27a )
% 5.55/5.83 & ? [V2457e8: $i] :
% 5.55/5.83 ( ( mem @ V2457e8 @ A_27a )
% 5.55/5.83 & ? [V2458e9: $i] :
% 5.55/5.83 ( ( mem @ V2458e9 @ A_27a )
% 5.55/5.83 & ? [V2459e10: $i] :
% 5.55/5.83 ( ( mem @ V2459e10 @ A_27a )
% 5.55/5.83 & ? [V2460e11: $i] :
% 5.55/5.83 ( ( mem @ V2460e11 @ A_27a )
% 5.55/5.83 & ? [V2461e12: $i] :
% 5.55/5.83 ( ( mem @ V2461e12 @ A_27a )
% 5.55/5.83 & ? [V2462e13: $i] :
% 5.55/5.83 ( ( mem @ V2462e13 @ A_27a )
% 5.55/5.83 & ? [V2463e14: $i] :
% 5.55/5.83 ( ( mem @ V2463e14 @ A_27a )
% 5.55/5.83 & ? [V2464e15: $i] :
% 5.55/5.83 ( ( mem @ V2464e15 @ A_27a )
% 5.55/5.83 & ? [V2465e16: $i] :
% 5.55/5.83 ( ( mem @ V2465e16 @ A_27a )
% 5.55/5.83 & ? [V2466e17: $i] :
% 5.55/5.83 ( ( mem @ V2466e17 @ A_27a )
% 5.55/5.83 & ? [V2467e18: $i] :
% 5.55/5.83 ( ( mem @ V2467e18 @ A_27a )
% 5.55/5.83 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2449l_27 ) )
% 5.55/5.83 = V1x )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2450e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2451e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2452e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2453e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2454e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2455e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2456e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2457e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2458e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2459e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2460e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2461e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2462e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2463e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2464e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2465e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2466e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2467e18 ) @ V2449l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.83 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) )
% 5.55/5.83 <=> ? [V2468l_27: $i] :
% 5.55/5.83 ( ( mem @ V2468l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.83 & ? [V2469e1: $i] :
% 5.55/5.83 ( ( mem @ V2469e1 @ A_27a )
% 5.55/5.83 & ? [V2470e2: $i] :
% 5.55/5.83 ( ( mem @ V2470e2 @ A_27a )
% 5.55/5.83 & ? [V2471e3: $i] :
% 5.55/5.83 ( ( mem @ V2471e3 @ A_27a )
% 5.55/5.83 & ? [V2472e4: $i] :
% 5.55/5.83 ( ( mem @ V2472e4 @ A_27a )
% 5.55/5.83 & ? [V2473e5: $i] :
% 5.55/5.83 ( ( mem @ V2473e5 @ A_27a )
% 5.55/5.83 & ? [V2474e6: $i] :
% 5.55/5.83 ( ( mem @ V2474e6 @ A_27a )
% 5.55/5.83 & ? [V2475e7: $i] :
% 5.55/5.83 ( ( mem @ V2475e7 @ A_27a )
% 5.55/5.83 & ? [V2476e8: $i] :
% 5.55/5.83 ( ( mem @ V2476e8 @ A_27a )
% 5.55/5.83 & ? [V2477e9: $i] :
% 5.55/5.83 ( ( mem @ V2477e9 @ A_27a )
% 5.55/5.83 & ? [V2478e10: $i] :
% 5.55/5.83 ( ( mem @ V2478e10 @ A_27a )
% 5.55/5.83 & ? [V2479e11: $i] :
% 5.55/5.83 ( ( mem @ V2479e11 @ A_27a )
% 5.55/5.83 & ? [V2480e12: $i] :
% 5.55/5.83 ( ( mem @ V2480e12 @ A_27a )
% 5.55/5.83 & ? [V2481e13: $i] :
% 5.55/5.83 ( ( mem @ V2481e13 @ A_27a )
% 5.55/5.83 & ? [V2482e14: $i] :
% 5.55/5.83 ( ( mem @ V2482e14 @ A_27a )
% 5.55/5.83 & ? [V2483e15: $i] :
% 5.55/5.83 ( ( mem @ V2483e15 @ A_27a )
% 5.55/5.83 & ? [V2484e16: $i] :
% 5.55/5.83 ( ( mem @ V2484e16 @ A_27a )
% 5.55/5.83 & ? [V2485e17: $i] :
% 5.55/5.83 ( ( mem @ V2485e17 @ A_27a )
% 5.55/5.83 & ? [V2486e18: $i] :
% 5.55/5.83 ( ( mem @ V2486e18 @ A_27a )
% 5.55/5.83 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2468l_27 ) )
% 5.55/5.83 = V1x )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2469e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2470e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2471e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2472e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2473e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2474e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2475e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2476e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2477e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2478e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2479e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2480e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2481e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2482e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2483e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2484e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2485e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2486e18 ) @ V2468l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.83 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.83 <=> ? [V2487l_27: $i] :
% 5.55/5.83 ( ( mem @ V2487l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.83 & ? [V2488e1: $i] :
% 5.55/5.83 ( ( mem @ V2488e1 @ A_27a )
% 5.55/5.83 & ? [V2489e2: $i] :
% 5.55/5.83 ( ( mem @ V2489e2 @ A_27a )
% 5.55/5.83 & ? [V2490e3: $i] :
% 5.55/5.83 ( ( mem @ V2490e3 @ A_27a )
% 5.55/5.83 & ? [V2491e4: $i] :
% 5.55/5.83 ( ( mem @ V2491e4 @ A_27a )
% 5.55/5.83 & ? [V2492e5: $i] :
% 5.55/5.83 ( ( mem @ V2492e5 @ A_27a )
% 5.55/5.83 & ? [V2493e6: $i] :
% 5.55/5.83 ( ( mem @ V2493e6 @ A_27a )
% 5.55/5.83 & ? [V2494e7: $i] :
% 5.55/5.83 ( ( mem @ V2494e7 @ A_27a )
% 5.55/5.83 & ? [V2495e8: $i] :
% 5.55/5.83 ( ( mem @ V2495e8 @ A_27a )
% 5.55/5.83 & ? [V2496e9: $i] :
% 5.55/5.83 ( ( mem @ V2496e9 @ A_27a )
% 5.55/5.83 & ? [V2497e10: $i] :
% 5.55/5.83 ( ( mem @ V2497e10 @ A_27a )
% 5.55/5.83 & ? [V2498e11: $i] :
% 5.55/5.83 ( ( mem @ V2498e11 @ A_27a )
% 5.55/5.83 & ? [V2499e12: $i] :
% 5.55/5.83 ( ( mem @ V2499e12 @ A_27a )
% 5.55/5.83 & ? [V2500e13: $i] :
% 5.55/5.83 ( ( mem @ V2500e13 @ A_27a )
% 5.55/5.83 & ? [V2501e14: $i] :
% 5.55/5.83 ( ( mem @ V2501e14 @ A_27a )
% 5.55/5.83 & ? [V2502e15: $i] :
% 5.55/5.83 ( ( mem @ V2502e15 @ A_27a )
% 5.55/5.83 & ? [V2503e16: $i] :
% 5.55/5.83 ( ( mem @ V2503e16 @ A_27a )
% 5.55/5.83 & ? [V2504e17: $i] :
% 5.55/5.83 ( ( mem @ V2504e17 @ A_27a )
% 5.55/5.83 & ? [V2505e18: $i] :
% 5.55/5.83 ( ( mem @ V2505e18 @ A_27a )
% 5.55/5.83 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2487l_27 ) )
% 5.55/5.83 = V1x )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2488e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2489e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2490e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2491e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2492e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2493e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2494e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2495e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2496e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2497e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2498e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2499e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2500e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2501e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2502e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2503e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2504e17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2505e18 ) @ V2487l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.83 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.83 <=> ? [V2506e1: $i] :
% 5.55/5.83 ( ( mem @ V2506e1 @ A_27a )
% 5.55/5.83 & ? [V2507e2: $i] :
% 5.55/5.83 ( ( mem @ V2507e2 @ A_27a )
% 5.55/5.83 & ? [V2508e3: $i] :
% 5.55/5.83 ( ( mem @ V2508e3 @ A_27a )
% 5.55/5.83 & ? [V2509e4: $i] :
% 5.55/5.83 ( ( mem @ V2509e4 @ A_27a )
% 5.55/5.83 & ? [V2510e5: $i] :
% 5.55/5.83 ( ( mem @ V2510e5 @ A_27a )
% 5.55/5.83 & ? [V2511e6: $i] :
% 5.55/5.83 ( ( mem @ V2511e6 @ A_27a )
% 5.55/5.83 & ? [V2512e7: $i] :
% 5.55/5.83 ( ( mem @ V2512e7 @ A_27a )
% 5.55/5.83 & ? [V2513e8: $i] :
% 5.55/5.83 ( ( mem @ V2513e8 @ A_27a )
% 5.55/5.83 & ? [V2514e9: $i] :
% 5.55/5.83 ( ( mem @ V2514e9 @ A_27a )
% 5.55/5.83 & ? [V2515e10: $i] :
% 5.55/5.83 ( ( mem @ V2515e10 @ A_27a )
% 5.55/5.83 & ? [V2516e11: $i] :
% 5.55/5.83 ( ( mem @ V2516e11 @ A_27a )
% 5.55/5.83 & ? [V2517e12: $i] :
% 5.55/5.83 ( ( mem @ V2517e12 @ A_27a )
% 5.55/5.83 & ? [V2518e13: $i] :
% 5.55/5.83 ( ( mem @ V2518e13 @ A_27a )
% 5.55/5.83 & ? [V2519e14: $i] :
% 5.55/5.83 ( ( mem @ V2519e14 @ A_27a )
% 5.55/5.83 & ? [V2520e15: $i] :
% 5.55/5.83 ( ( mem @ V2520e15 @ A_27a )
% 5.55/5.83 & ? [V2521e16: $i] :
% 5.55/5.83 ( ( mem @ V2521e16 @ A_27a )
% 5.55/5.83 & ? [V2522e17: $i] :
% 5.55/5.83 ( ( mem @ V2522e17 @ A_27a )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2506e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2507e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2508e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2509e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2510e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2511e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2512e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2513e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2514e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2515e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2516e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2517e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2518e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2519e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2520e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2521e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2522e17 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.83 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.83 <=> ? [V2523e1: $i] :
% 5.55/5.83 ( ( mem @ V2523e1 @ A_27a )
% 5.55/5.83 & ? [V2524e2: $i] :
% 5.55/5.83 ( ( mem @ V2524e2 @ A_27a )
% 5.55/5.83 & ? [V2525e3: $i] :
% 5.55/5.83 ( ( mem @ V2525e3 @ A_27a )
% 5.55/5.83 & ? [V2526e4: $i] :
% 5.55/5.83 ( ( mem @ V2526e4 @ A_27a )
% 5.55/5.83 & ? [V2527e5: $i] :
% 5.55/5.83 ( ( mem @ V2527e5 @ A_27a )
% 5.55/5.83 & ? [V2528e6: $i] :
% 5.55/5.83 ( ( mem @ V2528e6 @ A_27a )
% 5.55/5.83 & ? [V2529e7: $i] :
% 5.55/5.83 ( ( mem @ V2529e7 @ A_27a )
% 5.55/5.83 & ? [V2530e8: $i] :
% 5.55/5.83 ( ( mem @ V2530e8 @ A_27a )
% 5.55/5.83 & ? [V2531e9: $i] :
% 5.55/5.83 ( ( mem @ V2531e9 @ A_27a )
% 5.55/5.83 & ? [V2532e10: $i] :
% 5.55/5.83 ( ( mem @ V2532e10 @ A_27a )
% 5.55/5.83 & ? [V2533e11: $i] :
% 5.55/5.83 ( ( mem @ V2533e11 @ A_27a )
% 5.55/5.83 & ? [V2534e12: $i] :
% 5.55/5.83 ( ( mem @ V2534e12 @ A_27a )
% 5.55/5.83 & ? [V2535e13: $i] :
% 5.55/5.83 ( ( mem @ V2535e13 @ A_27a )
% 5.55/5.83 & ? [V2536e14: $i] :
% 5.55/5.83 ( ( mem @ V2536e14 @ A_27a )
% 5.55/5.83 & ? [V2537e15: $i] :
% 5.55/5.83 ( ( mem @ V2537e15 @ A_27a )
% 5.55/5.83 & ? [V2538e16: $i] :
% 5.55/5.83 ( ( mem @ V2538e16 @ A_27a )
% 5.55/5.83 & ? [V2539e17: $i] :
% 5.55/5.83 ( ( mem @ V2539e17 @ A_27a )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2523e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2524e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2525e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2526e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2527e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2528e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2529e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2530e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2531e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2532e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2533e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2534e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2535e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2536e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2537e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2538e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2539e17 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.83 <=> ? [V2540l_27: $i] :
% 5.55/5.83 ( ( mem @ V2540l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.83 & ? [V2541e1: $i] :
% 5.55/5.83 ( ( mem @ V2541e1 @ A_27a )
% 5.55/5.83 & ? [V2542e2: $i] :
% 5.55/5.83 ( ( mem @ V2542e2 @ A_27a )
% 5.55/5.83 & ? [V2543e3: $i] :
% 5.55/5.83 ( ( mem @ V2543e3 @ A_27a )
% 5.55/5.83 & ? [V2544e4: $i] :
% 5.55/5.83 ( ( mem @ V2544e4 @ A_27a )
% 5.55/5.83 & ? [V2545e5: $i] :
% 5.55/5.83 ( ( mem @ V2545e5 @ A_27a )
% 5.55/5.83 & ? [V2546e6: $i] :
% 5.55/5.83 ( ( mem @ V2546e6 @ A_27a )
% 5.55/5.83 & ? [V2547e7: $i] :
% 5.55/5.83 ( ( mem @ V2547e7 @ A_27a )
% 5.55/5.83 & ? [V2548e8: $i] :
% 5.55/5.83 ( ( mem @ V2548e8 @ A_27a )
% 5.55/5.83 & ? [V2549e9: $i] :
% 5.55/5.83 ( ( mem @ V2549e9 @ A_27a )
% 5.55/5.83 & ? [V2550e10: $i] :
% 5.55/5.83 ( ( mem @ V2550e10 @ A_27a )
% 5.55/5.83 & ? [V2551e11: $i] :
% 5.55/5.83 ( ( mem @ V2551e11 @ A_27a )
% 5.55/5.83 & ? [V2552e12: $i] :
% 5.55/5.83 ( ( mem @ V2552e12 @ A_27a )
% 5.55/5.83 & ? [V2553e13: $i] :
% 5.55/5.83 ( ( mem @ V2553e13 @ A_27a )
% 5.55/5.83 & ? [V2554e14: $i] :
% 5.55/5.83 ( ( mem @ V2554e14 @ A_27a )
% 5.55/5.83 & ? [V2555e15: $i] :
% 5.55/5.83 ( ( mem @ V2555e15 @ A_27a )
% 5.55/5.83 & ? [V2556e16: $i] :
% 5.55/5.83 ( ( mem @ V2556e16 @ A_27a )
% 5.55/5.83 & ? [V2557e17: $i] :
% 5.55/5.83 ( ( mem @ V2557e17 @ A_27a )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2541e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2542e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2543e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2544e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2545e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2546e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2547e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2548e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2549e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2550e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2551e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2552e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2553e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2554e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2555e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2556e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2557e17 ) @ V2540l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.83 <=> ? [V2558l_27: $i] :
% 5.55/5.83 ( ( mem @ V2558l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.83 & ? [V2559e1: $i] :
% 5.55/5.83 ( ( mem @ V2559e1 @ A_27a )
% 5.55/5.83 & ? [V2560e2: $i] :
% 5.55/5.83 ( ( mem @ V2560e2 @ A_27a )
% 5.55/5.83 & ? [V2561e3: $i] :
% 5.55/5.83 ( ( mem @ V2561e3 @ A_27a )
% 5.55/5.83 & ? [V2562e4: $i] :
% 5.55/5.83 ( ( mem @ V2562e4 @ A_27a )
% 5.55/5.83 & ? [V2563e5: $i] :
% 5.55/5.83 ( ( mem @ V2563e5 @ A_27a )
% 5.55/5.83 & ? [V2564e6: $i] :
% 5.55/5.83 ( ( mem @ V2564e6 @ A_27a )
% 5.55/5.83 & ? [V2565e7: $i] :
% 5.55/5.83 ( ( mem @ V2565e7 @ A_27a )
% 5.55/5.83 & ? [V2566e8: $i] :
% 5.55/5.83 ( ( mem @ V2566e8 @ A_27a )
% 5.55/5.83 & ? [V2567e9: $i] :
% 5.55/5.83 ( ( mem @ V2567e9 @ A_27a )
% 5.55/5.83 & ? [V2568e10: $i] :
% 5.55/5.83 ( ( mem @ V2568e10 @ A_27a )
% 5.55/5.83 & ? [V2569e11: $i] :
% 5.55/5.83 ( ( mem @ V2569e11 @ A_27a )
% 5.55/5.83 & ? [V2570e12: $i] :
% 5.55/5.83 ( ( mem @ V2570e12 @ A_27a )
% 5.55/5.83 & ? [V2571e13: $i] :
% 5.55/5.83 ( ( mem @ V2571e13 @ A_27a )
% 5.55/5.83 & ? [V2572e14: $i] :
% 5.55/5.83 ( ( mem @ V2572e14 @ A_27a )
% 5.55/5.83 & ? [V2573e15: $i] :
% 5.55/5.83 ( ( mem @ V2573e15 @ A_27a )
% 5.55/5.83 & ? [V2574e16: $i] :
% 5.55/5.83 ( ( mem @ V2574e16 @ A_27a )
% 5.55/5.83 & ? [V2575e17: $i] :
% 5.55/5.83 ( ( mem @ V2575e17 @ A_27a )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2559e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2560e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2561e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2562e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2563e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2564e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2565e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2566e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2567e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2568e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2569e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2570e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2571e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2572e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2573e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2574e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2575e17 ) @ V2558l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.83 <=> ? [V2576l_27: $i] :
% 5.55/5.83 ( ( mem @ V2576l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.83 & ? [V2577e1: $i] :
% 5.55/5.83 ( ( mem @ V2577e1 @ A_27a )
% 5.55/5.83 & ? [V2578e2: $i] :
% 5.55/5.83 ( ( mem @ V2578e2 @ A_27a )
% 5.55/5.83 & ? [V2579e3: $i] :
% 5.55/5.83 ( ( mem @ V2579e3 @ A_27a )
% 5.55/5.83 & ? [V2580e4: $i] :
% 5.55/5.83 ( ( mem @ V2580e4 @ A_27a )
% 5.55/5.83 & ? [V2581e5: $i] :
% 5.55/5.83 ( ( mem @ V2581e5 @ A_27a )
% 5.55/5.83 & ? [V2582e6: $i] :
% 5.55/5.83 ( ( mem @ V2582e6 @ A_27a )
% 5.55/5.83 & ? [V2583e7: $i] :
% 5.55/5.83 ( ( mem @ V2583e7 @ A_27a )
% 5.55/5.83 & ? [V2584e8: $i] :
% 5.55/5.83 ( ( mem @ V2584e8 @ A_27a )
% 5.55/5.83 & ? [V2585e9: $i] :
% 5.55/5.83 ( ( mem @ V2585e9 @ A_27a )
% 5.55/5.83 & ? [V2586e10: $i] :
% 5.55/5.83 ( ( mem @ V2586e10 @ A_27a )
% 5.55/5.83 & ? [V2587e11: $i] :
% 5.55/5.83 ( ( mem @ V2587e11 @ A_27a )
% 5.55/5.83 & ? [V2588e12: $i] :
% 5.55/5.83 ( ( mem @ V2588e12 @ A_27a )
% 5.55/5.83 & ? [V2589e13: $i] :
% 5.55/5.83 ( ( mem @ V2589e13 @ A_27a )
% 5.55/5.83 & ? [V2590e14: $i] :
% 5.55/5.83 ( ( mem @ V2590e14 @ A_27a )
% 5.55/5.83 & ? [V2591e15: $i] :
% 5.55/5.83 ( ( mem @ V2591e15 @ A_27a )
% 5.55/5.83 & ? [V2592e16: $i] :
% 5.55/5.83 ( ( mem @ V2592e16 @ A_27a )
% 5.55/5.83 & ? [V2593e17: $i] :
% 5.55/5.83 ( ( mem @ V2593e17 @ A_27a )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2577e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2578e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2579e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2580e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2581e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2582e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2583e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2584e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2585e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2586e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2587e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2588e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2589e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2590e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2591e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2592e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2593e17 ) @ V2576l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.83 <=> ? [V2594l_27: $i] :
% 5.55/5.83 ( ( mem @ V2594l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.83 & ? [V2595e1: $i] :
% 5.55/5.83 ( ( mem @ V2595e1 @ A_27a )
% 5.55/5.83 & ? [V2596e2: $i] :
% 5.55/5.83 ( ( mem @ V2596e2 @ A_27a )
% 5.55/5.83 & ? [V2597e3: $i] :
% 5.55/5.83 ( ( mem @ V2597e3 @ A_27a )
% 5.55/5.83 & ? [V2598e4: $i] :
% 5.55/5.83 ( ( mem @ V2598e4 @ A_27a )
% 5.55/5.83 & ? [V2599e5: $i] :
% 5.55/5.83 ( ( mem @ V2599e5 @ A_27a )
% 5.55/5.83 & ? [V2600e6: $i] :
% 5.55/5.83 ( ( mem @ V2600e6 @ A_27a )
% 5.55/5.83 & ? [V2601e7: $i] :
% 5.55/5.83 ( ( mem @ V2601e7 @ A_27a )
% 5.55/5.83 & ? [V2602e8: $i] :
% 5.55/5.83 ( ( mem @ V2602e8 @ A_27a )
% 5.55/5.83 & ? [V2603e9: $i] :
% 5.55/5.83 ( ( mem @ V2603e9 @ A_27a )
% 5.55/5.83 & ? [V2604e10: $i] :
% 5.55/5.83 ( ( mem @ V2604e10 @ A_27a )
% 5.55/5.83 & ? [V2605e11: $i] :
% 5.55/5.83 ( ( mem @ V2605e11 @ A_27a )
% 5.55/5.83 & ? [V2606e12: $i] :
% 5.55/5.83 ( ( mem @ V2606e12 @ A_27a )
% 5.55/5.83 & ? [V2607e13: $i] :
% 5.55/5.83 ( ( mem @ V2607e13 @ A_27a )
% 5.55/5.83 & ? [V2608e14: $i] :
% 5.55/5.83 ( ( mem @ V2608e14 @ A_27a )
% 5.55/5.83 & ? [V2609e15: $i] :
% 5.55/5.83 ( ( mem @ V2609e15 @ A_27a )
% 5.55/5.83 & ? [V2610e16: $i] :
% 5.55/5.83 ( ( mem @ V2610e16 @ A_27a )
% 5.55/5.83 & ? [V2611e17: $i] :
% 5.55/5.83 ( ( mem @ V2611e17 @ A_27a )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2595e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2596e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2597e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2598e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2599e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2600e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2601e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2602e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2603e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2604e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2605e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2606e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2607e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2608e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2609e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2610e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2611e17 ) @ V2594l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.83 <=> ? [V2612l_27: $i] :
% 5.55/5.83 ( ( mem @ V2612l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.83 & ? [V2613e1: $i] :
% 5.55/5.83 ( ( mem @ V2613e1 @ A_27a )
% 5.55/5.83 & ? [V2614e2: $i] :
% 5.55/5.83 ( ( mem @ V2614e2 @ A_27a )
% 5.55/5.83 & ? [V2615e3: $i] :
% 5.55/5.83 ( ( mem @ V2615e3 @ A_27a )
% 5.55/5.83 & ? [V2616e4: $i] :
% 5.55/5.83 ( ( mem @ V2616e4 @ A_27a )
% 5.55/5.83 & ? [V2617e5: $i] :
% 5.55/5.83 ( ( mem @ V2617e5 @ A_27a )
% 5.55/5.83 & ? [V2618e6: $i] :
% 5.55/5.83 ( ( mem @ V2618e6 @ A_27a )
% 5.55/5.83 & ? [V2619e7: $i] :
% 5.55/5.83 ( ( mem @ V2619e7 @ A_27a )
% 5.55/5.83 & ? [V2620e8: $i] :
% 5.55/5.83 ( ( mem @ V2620e8 @ A_27a )
% 5.55/5.83 & ? [V2621e9: $i] :
% 5.55/5.83 ( ( mem @ V2621e9 @ A_27a )
% 5.55/5.83 & ? [V2622e10: $i] :
% 5.55/5.83 ( ( mem @ V2622e10 @ A_27a )
% 5.55/5.83 & ? [V2623e11: $i] :
% 5.55/5.83 ( ( mem @ V2623e11 @ A_27a )
% 5.55/5.83 & ? [V2624e12: $i] :
% 5.55/5.83 ( ( mem @ V2624e12 @ A_27a )
% 5.55/5.83 & ? [V2625e13: $i] :
% 5.55/5.83 ( ( mem @ V2625e13 @ A_27a )
% 5.55/5.83 & ? [V2626e14: $i] :
% 5.55/5.83 ( ( mem @ V2626e14 @ A_27a )
% 5.55/5.83 & ? [V2627e15: $i] :
% 5.55/5.83 ( ( mem @ V2627e15 @ A_27a )
% 5.55/5.83 & ? [V2628e16: $i] :
% 5.55/5.83 ( ( mem @ V2628e16 @ A_27a )
% 5.55/5.83 & ? [V2629e17: $i] :
% 5.55/5.83 ( ( mem @ V2629e17 @ A_27a )
% 5.55/5.83 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2612l_27 ) ) )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2613e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2614e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2615e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2616e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2617e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2618e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2619e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2620e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2621e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2622e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2623e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2624e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2625e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2626e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2627e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2628e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2629e17 ) @ V2612l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.83 <=> ? [V2630l_27: $i] :
% 5.55/5.83 ( ( mem @ V2630l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.83 & ? [V2631e1: $i] :
% 5.55/5.83 ( ( mem @ V2631e1 @ A_27a )
% 5.55/5.83 & ? [V2632e2: $i] :
% 5.55/5.83 ( ( mem @ V2632e2 @ A_27a )
% 5.55/5.83 & ? [V2633e3: $i] :
% 5.55/5.83 ( ( mem @ V2633e3 @ A_27a )
% 5.55/5.83 & ? [V2634e4: $i] :
% 5.55/5.83 ( ( mem @ V2634e4 @ A_27a )
% 5.55/5.83 & ? [V2635e5: $i] :
% 5.55/5.83 ( ( mem @ V2635e5 @ A_27a )
% 5.55/5.83 & ? [V2636e6: $i] :
% 5.55/5.83 ( ( mem @ V2636e6 @ A_27a )
% 5.55/5.83 & ? [V2637e7: $i] :
% 5.55/5.83 ( ( mem @ V2637e7 @ A_27a )
% 5.55/5.83 & ? [V2638e8: $i] :
% 5.55/5.83 ( ( mem @ V2638e8 @ A_27a )
% 5.55/5.83 & ? [V2639e9: $i] :
% 5.55/5.83 ( ( mem @ V2639e9 @ A_27a )
% 5.55/5.83 & ? [V2640e10: $i] :
% 5.55/5.83 ( ( mem @ V2640e10 @ A_27a )
% 5.55/5.83 & ? [V2641e11: $i] :
% 5.55/5.83 ( ( mem @ V2641e11 @ A_27a )
% 5.55/5.83 & ? [V2642e12: $i] :
% 5.55/5.83 ( ( mem @ V2642e12 @ A_27a )
% 5.55/5.83 & ? [V2643e13: $i] :
% 5.55/5.83 ( ( mem @ V2643e13 @ A_27a )
% 5.55/5.83 & ? [V2644e14: $i] :
% 5.55/5.83 ( ( mem @ V2644e14 @ A_27a )
% 5.55/5.83 & ? [V2645e15: $i] :
% 5.55/5.83 ( ( mem @ V2645e15 @ A_27a )
% 5.55/5.83 & ? [V2646e16: $i] :
% 5.55/5.83 ( ( mem @ V2646e16 @ A_27a )
% 5.55/5.83 & ? [V2647e17: $i] :
% 5.55/5.83 ( ( mem @ V2647e17 @ A_27a )
% 5.55/5.83 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2630l_27 ) ) )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2631e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2632e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2633e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2634e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2635e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2636e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2637e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2638e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2639e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2640e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2641e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2642e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2643e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2644e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2645e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2646e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2647e17 ) @ V2630l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.83 <=> ? [V2648l_27: $i] :
% 5.55/5.83 ( ( mem @ V2648l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.83 & ? [V2649e1: $i] :
% 5.55/5.83 ( ( mem @ V2649e1 @ A_27a )
% 5.55/5.83 & ? [V2650e2: $i] :
% 5.55/5.83 ( ( mem @ V2650e2 @ A_27a )
% 5.55/5.83 & ? [V2651e3: $i] :
% 5.55/5.83 ( ( mem @ V2651e3 @ A_27a )
% 5.55/5.83 & ? [V2652e4: $i] :
% 5.55/5.83 ( ( mem @ V2652e4 @ A_27a )
% 5.55/5.83 & ? [V2653e5: $i] :
% 5.55/5.83 ( ( mem @ V2653e5 @ A_27a )
% 5.55/5.83 & ? [V2654e6: $i] :
% 5.55/5.83 ( ( mem @ V2654e6 @ A_27a )
% 5.55/5.83 & ? [V2655e7: $i] :
% 5.55/5.83 ( ( mem @ V2655e7 @ A_27a )
% 5.55/5.83 & ? [V2656e8: $i] :
% 5.55/5.83 ( ( mem @ V2656e8 @ A_27a )
% 5.55/5.83 & ? [V2657e9: $i] :
% 5.55/5.83 ( ( mem @ V2657e9 @ A_27a )
% 5.55/5.83 & ? [V2658e10: $i] :
% 5.55/5.83 ( ( mem @ V2658e10 @ A_27a )
% 5.55/5.83 & ? [V2659e11: $i] :
% 5.55/5.83 ( ( mem @ V2659e11 @ A_27a )
% 5.55/5.83 & ? [V2660e12: $i] :
% 5.55/5.83 ( ( mem @ V2660e12 @ A_27a )
% 5.55/5.83 & ? [V2661e13: $i] :
% 5.55/5.83 ( ( mem @ V2661e13 @ A_27a )
% 5.55/5.83 & ? [V2662e14: $i] :
% 5.55/5.83 ( ( mem @ V2662e14 @ A_27a )
% 5.55/5.83 & ? [V2663e15: $i] :
% 5.55/5.83 ( ( mem @ V2663e15 @ A_27a )
% 5.55/5.83 & ? [V2664e16: $i] :
% 5.55/5.83 ( ( mem @ V2664e16 @ A_27a )
% 5.55/5.83 & ? [V2665e17: $i] :
% 5.55/5.83 ( ( mem @ V2665e17 @ A_27a )
% 5.55/5.83 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2648l_27 ) ) )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2649e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2650e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2651e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2652e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2653e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2654e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2655e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2656e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2657e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2658e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2659e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2660e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2661e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2662e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2663e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2664e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2665e17 ) @ V2648l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) )
% 5.55/5.83 <=> ? [V2666l_27: $i] :
% 5.55/5.83 ( ( mem @ V2666l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.83 & ? [V2667e1: $i] :
% 5.55/5.83 ( ( mem @ V2667e1 @ A_27a )
% 5.55/5.83 & ? [V2668e2: $i] :
% 5.55/5.83 ( ( mem @ V2668e2 @ A_27a )
% 5.55/5.83 & ? [V2669e3: $i] :
% 5.55/5.83 ( ( mem @ V2669e3 @ A_27a )
% 5.55/5.83 & ? [V2670e4: $i] :
% 5.55/5.83 ( ( mem @ V2670e4 @ A_27a )
% 5.55/5.83 & ? [V2671e5: $i] :
% 5.55/5.83 ( ( mem @ V2671e5 @ A_27a )
% 5.55/5.83 & ? [V2672e6: $i] :
% 5.55/5.83 ( ( mem @ V2672e6 @ A_27a )
% 5.55/5.83 & ? [V2673e7: $i] :
% 5.55/5.83 ( ( mem @ V2673e7 @ A_27a )
% 5.55/5.83 & ? [V2674e8: $i] :
% 5.55/5.83 ( ( mem @ V2674e8 @ A_27a )
% 5.55/5.83 & ? [V2675e9: $i] :
% 5.55/5.83 ( ( mem @ V2675e9 @ A_27a )
% 5.55/5.83 & ? [V2676e10: $i] :
% 5.55/5.83 ( ( mem @ V2676e10 @ A_27a )
% 5.55/5.83 & ? [V2677e11: $i] :
% 5.55/5.83 ( ( mem @ V2677e11 @ A_27a )
% 5.55/5.83 & ? [V2678e12: $i] :
% 5.55/5.83 ( ( mem @ V2678e12 @ A_27a )
% 5.55/5.83 & ? [V2679e13: $i] :
% 5.55/5.83 ( ( mem @ V2679e13 @ A_27a )
% 5.55/5.83 & ? [V2680e14: $i] :
% 5.55/5.83 ( ( mem @ V2680e14 @ A_27a )
% 5.55/5.83 & ? [V2681e15: $i] :
% 5.55/5.83 ( ( mem @ V2681e15 @ A_27a )
% 5.55/5.83 & ? [V2682e16: $i] :
% 5.55/5.83 ( ( mem @ V2682e16 @ A_27a )
% 5.55/5.83 & ? [V2683e17: $i] :
% 5.55/5.83 ( ( mem @ V2683e17 @ A_27a )
% 5.55/5.83 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2666l_27 ) ) )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2667e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2668e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2669e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2670e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2671e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2672e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2673e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2674e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2675e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2676e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2677e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2678e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2679e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2680e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2681e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2682e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2683e17 ) @ V2666l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.83 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.83 <=> ? [V2684l_27: $i] :
% 5.55/5.83 ( ( mem @ V2684l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.83 & ? [V2685e1: $i] :
% 5.55/5.83 ( ( mem @ V2685e1 @ A_27a )
% 5.55/5.83 & ? [V2686e2: $i] :
% 5.55/5.83 ( ( mem @ V2686e2 @ A_27a )
% 5.55/5.83 & ? [V2687e3: $i] :
% 5.55/5.83 ( ( mem @ V2687e3 @ A_27a )
% 5.55/5.83 & ? [V2688e4: $i] :
% 5.55/5.83 ( ( mem @ V2688e4 @ A_27a )
% 5.55/5.83 & ? [V2689e5: $i] :
% 5.55/5.83 ( ( mem @ V2689e5 @ A_27a )
% 5.55/5.83 & ? [V2690e6: $i] :
% 5.55/5.83 ( ( mem @ V2690e6 @ A_27a )
% 5.55/5.83 & ? [V2691e7: $i] :
% 5.55/5.83 ( ( mem @ V2691e7 @ A_27a )
% 5.55/5.83 & ? [V2692e8: $i] :
% 5.55/5.83 ( ( mem @ V2692e8 @ A_27a )
% 5.55/5.83 & ? [V2693e9: $i] :
% 5.55/5.83 ( ( mem @ V2693e9 @ A_27a )
% 5.55/5.83 & ? [V2694e10: $i] :
% 5.55/5.83 ( ( mem @ V2694e10 @ A_27a )
% 5.55/5.83 & ? [V2695e11: $i] :
% 5.55/5.83 ( ( mem @ V2695e11 @ A_27a )
% 5.55/5.83 & ? [V2696e12: $i] :
% 5.55/5.83 ( ( mem @ V2696e12 @ A_27a )
% 5.55/5.83 & ? [V2697e13: $i] :
% 5.55/5.83 ( ( mem @ V2697e13 @ A_27a )
% 5.55/5.83 & ? [V2698e14: $i] :
% 5.55/5.83 ( ( mem @ V2698e14 @ A_27a )
% 5.55/5.83 & ? [V2699e15: $i] :
% 5.55/5.83 ( ( mem @ V2699e15 @ A_27a )
% 5.55/5.83 & ? [V2700e16: $i] :
% 5.55/5.83 ( ( mem @ V2700e16 @ A_27a )
% 5.55/5.83 & ? [V2701e17: $i] :
% 5.55/5.83 ( ( mem @ V2701e17 @ A_27a )
% 5.55/5.83 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2684l_27 ) )
% 5.55/5.83 = V1x )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2685e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2686e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2687e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2688e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2689e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2690e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2691e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2692e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2693e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2694e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2695e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2696e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2697e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2698e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2699e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2700e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2701e17 ) @ V2684l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.55/5.83 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.83 <=> ? [V2702l_27: $i] :
% 5.55/5.83 ( ( mem @ V2702l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.83 & ? [V2703e1: $i] :
% 5.55/5.83 ( ( mem @ V2703e1 @ A_27a )
% 5.55/5.83 & ? [V2704e2: $i] :
% 5.55/5.83 ( ( mem @ V2704e2 @ A_27a )
% 5.55/5.83 & ? [V2705e3: $i] :
% 5.55/5.83 ( ( mem @ V2705e3 @ A_27a )
% 5.55/5.83 & ? [V2706e4: $i] :
% 5.55/5.83 ( ( mem @ V2706e4 @ A_27a )
% 5.55/5.83 & ? [V2707e5: $i] :
% 5.55/5.83 ( ( mem @ V2707e5 @ A_27a )
% 5.55/5.83 & ? [V2708e6: $i] :
% 5.55/5.83 ( ( mem @ V2708e6 @ A_27a )
% 5.55/5.83 & ? [V2709e7: $i] :
% 5.55/5.83 ( ( mem @ V2709e7 @ A_27a )
% 5.55/5.83 & ? [V2710e8: $i] :
% 5.55/5.83 ( ( mem @ V2710e8 @ A_27a )
% 5.55/5.83 & ? [V2711e9: $i] :
% 5.55/5.83 ( ( mem @ V2711e9 @ A_27a )
% 5.55/5.83 & ? [V2712e10: $i] :
% 5.55/5.83 ( ( mem @ V2712e10 @ A_27a )
% 5.55/5.83 & ? [V2713e11: $i] :
% 5.55/5.83 ( ( mem @ V2713e11 @ A_27a )
% 5.55/5.83 & ? [V2714e12: $i] :
% 5.55/5.83 ( ( mem @ V2714e12 @ A_27a )
% 5.55/5.83 & ? [V2715e13: $i] :
% 5.55/5.83 ( ( mem @ V2715e13 @ A_27a )
% 5.55/5.83 & ? [V2716e14: $i] :
% 5.55/5.83 ( ( mem @ V2716e14 @ A_27a )
% 5.55/5.83 & ? [V2717e15: $i] :
% 5.55/5.83 ( ( mem @ V2717e15 @ A_27a )
% 5.55/5.83 & ? [V2718e16: $i] :
% 5.55/5.83 ( ( mem @ V2718e16 @ A_27a )
% 5.55/5.83 & ? [V2719e17: $i] :
% 5.55/5.83 ( ( mem @ V2719e17 @ A_27a )
% 5.55/5.83 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2702l_27 ) )
% 5.55/5.83 = V1x )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2703e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2704e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2705e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2706e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2707e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2708e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2709e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2710e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2711e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2712e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2713e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2714e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2715e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2716e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2717e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2718e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2719e17 ) @ V2702l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.83 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.83 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) )
% 5.55/5.83 <=> ? [V2720l_27: $i] :
% 5.55/5.83 ( ( mem @ V2720l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.83 & ? [V2721e1: $i] :
% 5.55/5.83 ( ( mem @ V2721e1 @ A_27a )
% 5.55/5.83 & ? [V2722e2: $i] :
% 5.55/5.83 ( ( mem @ V2722e2 @ A_27a )
% 5.55/5.83 & ? [V2723e3: $i] :
% 5.55/5.83 ( ( mem @ V2723e3 @ A_27a )
% 5.55/5.83 & ? [V2724e4: $i] :
% 5.55/5.83 ( ( mem @ V2724e4 @ A_27a )
% 5.55/5.83 & ? [V2725e5: $i] :
% 5.55/5.83 ( ( mem @ V2725e5 @ A_27a )
% 5.55/5.83 & ? [V2726e6: $i] :
% 5.55/5.83 ( ( mem @ V2726e6 @ A_27a )
% 5.55/5.83 & ? [V2727e7: $i] :
% 5.55/5.83 ( ( mem @ V2727e7 @ A_27a )
% 5.55/5.83 & ? [V2728e8: $i] :
% 5.55/5.83 ( ( mem @ V2728e8 @ A_27a )
% 5.55/5.83 & ? [V2729e9: $i] :
% 5.55/5.83 ( ( mem @ V2729e9 @ A_27a )
% 5.55/5.83 & ? [V2730e10: $i] :
% 5.55/5.83 ( ( mem @ V2730e10 @ A_27a )
% 5.55/5.83 & ? [V2731e11: $i] :
% 5.55/5.83 ( ( mem @ V2731e11 @ A_27a )
% 5.55/5.83 & ? [V2732e12: $i] :
% 5.55/5.83 ( ( mem @ V2732e12 @ A_27a )
% 5.55/5.83 & ? [V2733e13: $i] :
% 5.55/5.83 ( ( mem @ V2733e13 @ A_27a )
% 5.55/5.83 & ? [V2734e14: $i] :
% 5.55/5.83 ( ( mem @ V2734e14 @ A_27a )
% 5.55/5.83 & ? [V2735e15: $i] :
% 5.55/5.83 ( ( mem @ V2735e15 @ A_27a )
% 5.55/5.83 & ? [V2736e16: $i] :
% 5.55/5.83 ( ( mem @ V2736e16 @ A_27a )
% 5.55/5.83 & ? [V2737e17: $i] :
% 5.55/5.83 ( ( mem @ V2737e17 @ A_27a )
% 5.55/5.83 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2720l_27 ) )
% 5.55/5.83 = V1x )
% 5.55/5.83 & ( V0l
% 5.55/5.83 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2721e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2722e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2723e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2724e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2725e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2726e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2727e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2728e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2729e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2730e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2731e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2732e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2733e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2734e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2735e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2736e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2737e17 ) @ V2720l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.84 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.84 <=> ? [V2738l_27: $i] :
% 5.55/5.84 ( ( mem @ V2738l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V2739e1: $i] :
% 5.55/5.84 ( ( mem @ V2739e1 @ A_27a )
% 5.55/5.84 & ? [V2740e2: $i] :
% 5.55/5.84 ( ( mem @ V2740e2 @ A_27a )
% 5.55/5.84 & ? [V2741e3: $i] :
% 5.55/5.84 ( ( mem @ V2741e3 @ A_27a )
% 5.55/5.84 & ? [V2742e4: $i] :
% 5.55/5.84 ( ( mem @ V2742e4 @ A_27a )
% 5.55/5.84 & ? [V2743e5: $i] :
% 5.55/5.84 ( ( mem @ V2743e5 @ A_27a )
% 5.55/5.84 & ? [V2744e6: $i] :
% 5.55/5.84 ( ( mem @ V2744e6 @ A_27a )
% 5.55/5.84 & ? [V2745e7: $i] :
% 5.55/5.84 ( ( mem @ V2745e7 @ A_27a )
% 5.55/5.84 & ? [V2746e8: $i] :
% 5.55/5.84 ( ( mem @ V2746e8 @ A_27a )
% 5.55/5.84 & ? [V2747e9: $i] :
% 5.55/5.84 ( ( mem @ V2747e9 @ A_27a )
% 5.55/5.84 & ? [V2748e10: $i] :
% 5.55/5.84 ( ( mem @ V2748e10 @ A_27a )
% 5.55/5.84 & ? [V2749e11: $i] :
% 5.55/5.84 ( ( mem @ V2749e11 @ A_27a )
% 5.55/5.84 & ? [V2750e12: $i] :
% 5.55/5.84 ( ( mem @ V2750e12 @ A_27a )
% 5.55/5.84 & ? [V2751e13: $i] :
% 5.55/5.84 ( ( mem @ V2751e13 @ A_27a )
% 5.55/5.84 & ? [V2752e14: $i] :
% 5.55/5.84 ( ( mem @ V2752e14 @ A_27a )
% 5.55/5.84 & ? [V2753e15: $i] :
% 5.55/5.84 ( ( mem @ V2753e15 @ A_27a )
% 5.55/5.84 & ? [V2754e16: $i] :
% 5.55/5.84 ( ( mem @ V2754e16 @ A_27a )
% 5.55/5.84 & ? [V2755e17: $i] :
% 5.55/5.84 ( ( mem @ V2755e17 @ A_27a )
% 5.55/5.84 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2738l_27 ) )
% 5.55/5.84 = V1x )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2739e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2740e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2741e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2742e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2743e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2744e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2745e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2746e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2747e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2748e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2749e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2750e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2751e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2752e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2753e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2754e16 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2755e17 ) @ V2738l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.84 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.84 <=> ? [V2756e1: $i] :
% 5.55/5.84 ( ( mem @ V2756e1 @ A_27a )
% 5.55/5.84 & ? [V2757e2: $i] :
% 5.55/5.84 ( ( mem @ V2757e2 @ A_27a )
% 5.55/5.84 & ? [V2758e3: $i] :
% 5.55/5.84 ( ( mem @ V2758e3 @ A_27a )
% 5.55/5.84 & ? [V2759e4: $i] :
% 5.55/5.84 ( ( mem @ V2759e4 @ A_27a )
% 5.55/5.84 & ? [V2760e5: $i] :
% 5.55/5.84 ( ( mem @ V2760e5 @ A_27a )
% 5.55/5.84 & ? [V2761e6: $i] :
% 5.55/5.84 ( ( mem @ V2761e6 @ A_27a )
% 5.55/5.84 & ? [V2762e7: $i] :
% 5.55/5.84 ( ( mem @ V2762e7 @ A_27a )
% 5.55/5.84 & ? [V2763e8: $i] :
% 5.55/5.84 ( ( mem @ V2763e8 @ A_27a )
% 5.55/5.84 & ? [V2764e9: $i] :
% 5.55/5.84 ( ( mem @ V2764e9 @ A_27a )
% 5.55/5.84 & ? [V2765e10: $i] :
% 5.55/5.84 ( ( mem @ V2765e10 @ A_27a )
% 5.55/5.84 & ? [V2766e11: $i] :
% 5.55/5.84 ( ( mem @ V2766e11 @ A_27a )
% 5.55/5.84 & ? [V2767e12: $i] :
% 5.55/5.84 ( ( mem @ V2767e12 @ A_27a )
% 5.55/5.84 & ? [V2768e13: $i] :
% 5.55/5.84 ( ( mem @ V2768e13 @ A_27a )
% 5.55/5.84 & ? [V2769e14: $i] :
% 5.55/5.84 ( ( mem @ V2769e14 @ A_27a )
% 5.55/5.84 & ? [V2770e15: $i] :
% 5.55/5.84 ( ( mem @ V2770e15 @ A_27a )
% 5.55/5.84 & ? [V2771e16: $i] :
% 5.55/5.84 ( ( mem @ V2771e16 @ A_27a )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2756e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2757e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2758e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2759e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2760e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2761e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2762e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2763e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2764e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2765e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2766e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2767e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2768e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2769e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2770e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2771e16 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.84 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.84 <=> ? [V2772e1: $i] :
% 5.55/5.84 ( ( mem @ V2772e1 @ A_27a )
% 5.55/5.84 & ? [V2773e2: $i] :
% 5.55/5.84 ( ( mem @ V2773e2 @ A_27a )
% 5.55/5.84 & ? [V2774e3: $i] :
% 5.55/5.84 ( ( mem @ V2774e3 @ A_27a )
% 5.55/5.84 & ? [V2775e4: $i] :
% 5.55/5.84 ( ( mem @ V2775e4 @ A_27a )
% 5.55/5.84 & ? [V2776e5: $i] :
% 5.55/5.84 ( ( mem @ V2776e5 @ A_27a )
% 5.55/5.84 & ? [V2777e6: $i] :
% 5.55/5.84 ( ( mem @ V2777e6 @ A_27a )
% 5.55/5.84 & ? [V2778e7: $i] :
% 5.55/5.84 ( ( mem @ V2778e7 @ A_27a )
% 5.55/5.84 & ? [V2779e8: $i] :
% 5.55/5.84 ( ( mem @ V2779e8 @ A_27a )
% 5.55/5.84 & ? [V2780e9: $i] :
% 5.55/5.84 ( ( mem @ V2780e9 @ A_27a )
% 5.55/5.84 & ? [V2781e10: $i] :
% 5.55/5.84 ( ( mem @ V2781e10 @ A_27a )
% 5.55/5.84 & ? [V2782e11: $i] :
% 5.55/5.84 ( ( mem @ V2782e11 @ A_27a )
% 5.55/5.84 & ? [V2783e12: $i] :
% 5.55/5.84 ( ( mem @ V2783e12 @ A_27a )
% 5.55/5.84 & ? [V2784e13: $i] :
% 5.55/5.84 ( ( mem @ V2784e13 @ A_27a )
% 5.55/5.84 & ? [V2785e14: $i] :
% 5.55/5.84 ( ( mem @ V2785e14 @ A_27a )
% 5.55/5.84 & ? [V2786e15: $i] :
% 5.55/5.84 ( ( mem @ V2786e15 @ A_27a )
% 5.55/5.84 & ? [V2787e16: $i] :
% 5.55/5.84 ( ( mem @ V2787e16 @ A_27a )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2772e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2773e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2774e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2775e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2776e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2777e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2778e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2779e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2780e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2781e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2782e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2783e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2784e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2785e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2786e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2787e16 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.84 <=> ? [V2788l_27: $i] :
% 5.55/5.84 ( ( mem @ V2788l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V2789e1: $i] :
% 5.55/5.84 ( ( mem @ V2789e1 @ A_27a )
% 5.55/5.84 & ? [V2790e2: $i] :
% 5.55/5.84 ( ( mem @ V2790e2 @ A_27a )
% 5.55/5.84 & ? [V2791e3: $i] :
% 5.55/5.84 ( ( mem @ V2791e3 @ A_27a )
% 5.55/5.84 & ? [V2792e4: $i] :
% 5.55/5.84 ( ( mem @ V2792e4 @ A_27a )
% 5.55/5.84 & ? [V2793e5: $i] :
% 5.55/5.84 ( ( mem @ V2793e5 @ A_27a )
% 5.55/5.84 & ? [V2794e6: $i] :
% 5.55/5.84 ( ( mem @ V2794e6 @ A_27a )
% 5.55/5.84 & ? [V2795e7: $i] :
% 5.55/5.84 ( ( mem @ V2795e7 @ A_27a )
% 5.55/5.84 & ? [V2796e8: $i] :
% 5.55/5.84 ( ( mem @ V2796e8 @ A_27a )
% 5.55/5.84 & ? [V2797e9: $i] :
% 5.55/5.84 ( ( mem @ V2797e9 @ A_27a )
% 5.55/5.84 & ? [V2798e10: $i] :
% 5.55/5.84 ( ( mem @ V2798e10 @ A_27a )
% 5.55/5.84 & ? [V2799e11: $i] :
% 5.55/5.84 ( ( mem @ V2799e11 @ A_27a )
% 5.55/5.84 & ? [V2800e12: $i] :
% 5.55/5.84 ( ( mem @ V2800e12 @ A_27a )
% 5.55/5.84 & ? [V2801e13: $i] :
% 5.55/5.84 ( ( mem @ V2801e13 @ A_27a )
% 5.55/5.84 & ? [V2802e14: $i] :
% 5.55/5.84 ( ( mem @ V2802e14 @ A_27a )
% 5.55/5.84 & ? [V2803e15: $i] :
% 5.55/5.84 ( ( mem @ V2803e15 @ A_27a )
% 5.55/5.84 & ? [V2804e16: $i] :
% 5.55/5.84 ( ( mem @ V2804e16 @ A_27a )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2789e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2790e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2791e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2792e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2793e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2794e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2795e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2796e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2797e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2798e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2799e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2800e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2801e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2802e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2803e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2804e16 ) @ V2788l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.84 <=> ? [V2805l_27: $i] :
% 5.55/5.84 ( ( mem @ V2805l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V2806e1: $i] :
% 5.55/5.84 ( ( mem @ V2806e1 @ A_27a )
% 5.55/5.84 & ? [V2807e2: $i] :
% 5.55/5.84 ( ( mem @ V2807e2 @ A_27a )
% 5.55/5.84 & ? [V2808e3: $i] :
% 5.55/5.84 ( ( mem @ V2808e3 @ A_27a )
% 5.55/5.84 & ? [V2809e4: $i] :
% 5.55/5.84 ( ( mem @ V2809e4 @ A_27a )
% 5.55/5.84 & ? [V2810e5: $i] :
% 5.55/5.84 ( ( mem @ V2810e5 @ A_27a )
% 5.55/5.84 & ? [V2811e6: $i] :
% 5.55/5.84 ( ( mem @ V2811e6 @ A_27a )
% 5.55/5.84 & ? [V2812e7: $i] :
% 5.55/5.84 ( ( mem @ V2812e7 @ A_27a )
% 5.55/5.84 & ? [V2813e8: $i] :
% 5.55/5.84 ( ( mem @ V2813e8 @ A_27a )
% 5.55/5.84 & ? [V2814e9: $i] :
% 5.55/5.84 ( ( mem @ V2814e9 @ A_27a )
% 5.55/5.84 & ? [V2815e10: $i] :
% 5.55/5.84 ( ( mem @ V2815e10 @ A_27a )
% 5.55/5.84 & ? [V2816e11: $i] :
% 5.55/5.84 ( ( mem @ V2816e11 @ A_27a )
% 5.55/5.84 & ? [V2817e12: $i] :
% 5.55/5.84 ( ( mem @ V2817e12 @ A_27a )
% 5.55/5.84 & ? [V2818e13: $i] :
% 5.55/5.84 ( ( mem @ V2818e13 @ A_27a )
% 5.55/5.84 & ? [V2819e14: $i] :
% 5.55/5.84 ( ( mem @ V2819e14 @ A_27a )
% 5.55/5.84 & ? [V2820e15: $i] :
% 5.55/5.84 ( ( mem @ V2820e15 @ A_27a )
% 5.55/5.84 & ? [V2821e16: $i] :
% 5.55/5.84 ( ( mem @ V2821e16 @ A_27a )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2806e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2807e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2808e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2809e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2810e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2811e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2812e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2813e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2814e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2815e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2816e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2817e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2818e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2819e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2820e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2821e16 ) @ V2805l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.84 <=> ? [V2822l_27: $i] :
% 5.55/5.84 ( ( mem @ V2822l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V2823e1: $i] :
% 5.55/5.84 ( ( mem @ V2823e1 @ A_27a )
% 5.55/5.84 & ? [V2824e2: $i] :
% 5.55/5.84 ( ( mem @ V2824e2 @ A_27a )
% 5.55/5.84 & ? [V2825e3: $i] :
% 5.55/5.84 ( ( mem @ V2825e3 @ A_27a )
% 5.55/5.84 & ? [V2826e4: $i] :
% 5.55/5.84 ( ( mem @ V2826e4 @ A_27a )
% 5.55/5.84 & ? [V2827e5: $i] :
% 5.55/5.84 ( ( mem @ V2827e5 @ A_27a )
% 5.55/5.84 & ? [V2828e6: $i] :
% 5.55/5.84 ( ( mem @ V2828e6 @ A_27a )
% 5.55/5.84 & ? [V2829e7: $i] :
% 5.55/5.84 ( ( mem @ V2829e7 @ A_27a )
% 5.55/5.84 & ? [V2830e8: $i] :
% 5.55/5.84 ( ( mem @ V2830e8 @ A_27a )
% 5.55/5.84 & ? [V2831e9: $i] :
% 5.55/5.84 ( ( mem @ V2831e9 @ A_27a )
% 5.55/5.84 & ? [V2832e10: $i] :
% 5.55/5.84 ( ( mem @ V2832e10 @ A_27a )
% 5.55/5.84 & ? [V2833e11: $i] :
% 5.55/5.84 ( ( mem @ V2833e11 @ A_27a )
% 5.55/5.84 & ? [V2834e12: $i] :
% 5.55/5.84 ( ( mem @ V2834e12 @ A_27a )
% 5.55/5.84 & ? [V2835e13: $i] :
% 5.55/5.84 ( ( mem @ V2835e13 @ A_27a )
% 5.55/5.84 & ? [V2836e14: $i] :
% 5.55/5.84 ( ( mem @ V2836e14 @ A_27a )
% 5.55/5.84 & ? [V2837e15: $i] :
% 5.55/5.84 ( ( mem @ V2837e15 @ A_27a )
% 5.55/5.84 & ? [V2838e16: $i] :
% 5.55/5.84 ( ( mem @ V2838e16 @ A_27a )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2823e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2824e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2825e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2826e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2827e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2828e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2829e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2830e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2831e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2832e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2833e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2834e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2835e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2836e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2837e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2838e16 ) @ V2822l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.84 <=> ? [V2839l_27: $i] :
% 5.55/5.84 ( ( mem @ V2839l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V2840e1: $i] :
% 5.55/5.84 ( ( mem @ V2840e1 @ A_27a )
% 5.55/5.84 & ? [V2841e2: $i] :
% 5.55/5.84 ( ( mem @ V2841e2 @ A_27a )
% 5.55/5.84 & ? [V2842e3: $i] :
% 5.55/5.84 ( ( mem @ V2842e3 @ A_27a )
% 5.55/5.84 & ? [V2843e4: $i] :
% 5.55/5.84 ( ( mem @ V2843e4 @ A_27a )
% 5.55/5.84 & ? [V2844e5: $i] :
% 5.55/5.84 ( ( mem @ V2844e5 @ A_27a )
% 5.55/5.84 & ? [V2845e6: $i] :
% 5.55/5.84 ( ( mem @ V2845e6 @ A_27a )
% 5.55/5.84 & ? [V2846e7: $i] :
% 5.55/5.84 ( ( mem @ V2846e7 @ A_27a )
% 5.55/5.84 & ? [V2847e8: $i] :
% 5.55/5.84 ( ( mem @ V2847e8 @ A_27a )
% 5.55/5.84 & ? [V2848e9: $i] :
% 5.55/5.84 ( ( mem @ V2848e9 @ A_27a )
% 5.55/5.84 & ? [V2849e10: $i] :
% 5.55/5.84 ( ( mem @ V2849e10 @ A_27a )
% 5.55/5.84 & ? [V2850e11: $i] :
% 5.55/5.84 ( ( mem @ V2850e11 @ A_27a )
% 5.55/5.84 & ? [V2851e12: $i] :
% 5.55/5.84 ( ( mem @ V2851e12 @ A_27a )
% 5.55/5.84 & ? [V2852e13: $i] :
% 5.55/5.84 ( ( mem @ V2852e13 @ A_27a )
% 5.55/5.84 & ? [V2853e14: $i] :
% 5.55/5.84 ( ( mem @ V2853e14 @ A_27a )
% 5.55/5.84 & ? [V2854e15: $i] :
% 5.55/5.84 ( ( mem @ V2854e15 @ A_27a )
% 5.55/5.84 & ? [V2855e16: $i] :
% 5.55/5.84 ( ( mem @ V2855e16 @ A_27a )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2840e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2841e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2842e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2843e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2844e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2845e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2846e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2847e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2848e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2849e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2850e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2851e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2852e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2853e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2854e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2855e16 ) @ V2839l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.84 <=> ? [V2856l_27: $i] :
% 5.55/5.84 ( ( mem @ V2856l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V2857e1: $i] :
% 5.55/5.84 ( ( mem @ V2857e1 @ A_27a )
% 5.55/5.84 & ? [V2858e2: $i] :
% 5.55/5.84 ( ( mem @ V2858e2 @ A_27a )
% 5.55/5.84 & ? [V2859e3: $i] :
% 5.55/5.84 ( ( mem @ V2859e3 @ A_27a )
% 5.55/5.84 & ? [V2860e4: $i] :
% 5.55/5.84 ( ( mem @ V2860e4 @ A_27a )
% 5.55/5.84 & ? [V2861e5: $i] :
% 5.55/5.84 ( ( mem @ V2861e5 @ A_27a )
% 5.55/5.84 & ? [V2862e6: $i] :
% 5.55/5.84 ( ( mem @ V2862e6 @ A_27a )
% 5.55/5.84 & ? [V2863e7: $i] :
% 5.55/5.84 ( ( mem @ V2863e7 @ A_27a )
% 5.55/5.84 & ? [V2864e8: $i] :
% 5.55/5.84 ( ( mem @ V2864e8 @ A_27a )
% 5.55/5.84 & ? [V2865e9: $i] :
% 5.55/5.84 ( ( mem @ V2865e9 @ A_27a )
% 5.55/5.84 & ? [V2866e10: $i] :
% 5.55/5.84 ( ( mem @ V2866e10 @ A_27a )
% 5.55/5.84 & ? [V2867e11: $i] :
% 5.55/5.84 ( ( mem @ V2867e11 @ A_27a )
% 5.55/5.84 & ? [V2868e12: $i] :
% 5.55/5.84 ( ( mem @ V2868e12 @ A_27a )
% 5.55/5.84 & ? [V2869e13: $i] :
% 5.55/5.84 ( ( mem @ V2869e13 @ A_27a )
% 5.55/5.84 & ? [V2870e14: $i] :
% 5.55/5.84 ( ( mem @ V2870e14 @ A_27a )
% 5.55/5.84 & ? [V2871e15: $i] :
% 5.55/5.84 ( ( mem @ V2871e15 @ A_27a )
% 5.55/5.84 & ? [V2872e16: $i] :
% 5.55/5.84 ( ( mem @ V2872e16 @ A_27a )
% 5.55/5.84 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2856l_27 ) ) )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2857e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2858e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2859e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2860e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2861e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2862e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2863e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2864e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2865e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2866e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2867e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2868e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2869e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2870e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2871e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2872e16 ) @ V2856l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.84 <=> ? [V2873l_27: $i] :
% 5.55/5.84 ( ( mem @ V2873l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V2874e1: $i] :
% 5.55/5.84 ( ( mem @ V2874e1 @ A_27a )
% 5.55/5.84 & ? [V2875e2: $i] :
% 5.55/5.84 ( ( mem @ V2875e2 @ A_27a )
% 5.55/5.84 & ? [V2876e3: $i] :
% 5.55/5.84 ( ( mem @ V2876e3 @ A_27a )
% 5.55/5.84 & ? [V2877e4: $i] :
% 5.55/5.84 ( ( mem @ V2877e4 @ A_27a )
% 5.55/5.84 & ? [V2878e5: $i] :
% 5.55/5.84 ( ( mem @ V2878e5 @ A_27a )
% 5.55/5.84 & ? [V2879e6: $i] :
% 5.55/5.84 ( ( mem @ V2879e6 @ A_27a )
% 5.55/5.84 & ? [V2880e7: $i] :
% 5.55/5.84 ( ( mem @ V2880e7 @ A_27a )
% 5.55/5.84 & ? [V2881e8: $i] :
% 5.55/5.84 ( ( mem @ V2881e8 @ A_27a )
% 5.55/5.84 & ? [V2882e9: $i] :
% 5.55/5.84 ( ( mem @ V2882e9 @ A_27a )
% 5.55/5.84 & ? [V2883e10: $i] :
% 5.55/5.84 ( ( mem @ V2883e10 @ A_27a )
% 5.55/5.84 & ? [V2884e11: $i] :
% 5.55/5.84 ( ( mem @ V2884e11 @ A_27a )
% 5.55/5.84 & ? [V2885e12: $i] :
% 5.55/5.84 ( ( mem @ V2885e12 @ A_27a )
% 5.55/5.84 & ? [V2886e13: $i] :
% 5.55/5.84 ( ( mem @ V2886e13 @ A_27a )
% 5.55/5.84 & ? [V2887e14: $i] :
% 5.55/5.84 ( ( mem @ V2887e14 @ A_27a )
% 5.55/5.84 & ? [V2888e15: $i] :
% 5.55/5.84 ( ( mem @ V2888e15 @ A_27a )
% 5.55/5.84 & ? [V2889e16: $i] :
% 5.55/5.84 ( ( mem @ V2889e16 @ A_27a )
% 5.55/5.84 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2873l_27 ) ) )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2874e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2875e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2876e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2877e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2878e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2879e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2880e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2881e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2882e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2883e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2884e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2885e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2886e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2887e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2888e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2889e16 ) @ V2873l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.84 <=> ? [V2890l_27: $i] :
% 5.55/5.84 ( ( mem @ V2890l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V2891e1: $i] :
% 5.55/5.84 ( ( mem @ V2891e1 @ A_27a )
% 5.55/5.84 & ? [V2892e2: $i] :
% 5.55/5.84 ( ( mem @ V2892e2 @ A_27a )
% 5.55/5.84 & ? [V2893e3: $i] :
% 5.55/5.84 ( ( mem @ V2893e3 @ A_27a )
% 5.55/5.84 & ? [V2894e4: $i] :
% 5.55/5.84 ( ( mem @ V2894e4 @ A_27a )
% 5.55/5.84 & ? [V2895e5: $i] :
% 5.55/5.84 ( ( mem @ V2895e5 @ A_27a )
% 5.55/5.84 & ? [V2896e6: $i] :
% 5.55/5.84 ( ( mem @ V2896e6 @ A_27a )
% 5.55/5.84 & ? [V2897e7: $i] :
% 5.55/5.84 ( ( mem @ V2897e7 @ A_27a )
% 5.55/5.84 & ? [V2898e8: $i] :
% 5.55/5.84 ( ( mem @ V2898e8 @ A_27a )
% 5.55/5.84 & ? [V2899e9: $i] :
% 5.55/5.84 ( ( mem @ V2899e9 @ A_27a )
% 5.55/5.84 & ? [V2900e10: $i] :
% 5.55/5.84 ( ( mem @ V2900e10 @ A_27a )
% 5.55/5.84 & ? [V2901e11: $i] :
% 5.55/5.84 ( ( mem @ V2901e11 @ A_27a )
% 5.55/5.84 & ? [V2902e12: $i] :
% 5.55/5.84 ( ( mem @ V2902e12 @ A_27a )
% 5.55/5.84 & ? [V2903e13: $i] :
% 5.55/5.84 ( ( mem @ V2903e13 @ A_27a )
% 5.55/5.84 & ? [V2904e14: $i] :
% 5.55/5.84 ( ( mem @ V2904e14 @ A_27a )
% 5.55/5.84 & ? [V2905e15: $i] :
% 5.55/5.84 ( ( mem @ V2905e15 @ A_27a )
% 5.55/5.84 & ? [V2906e16: $i] :
% 5.55/5.84 ( ( mem @ V2906e16 @ A_27a )
% 5.55/5.84 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2890l_27 ) ) )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2891e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2892e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2893e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2894e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2895e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2896e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2897e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2898e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2899e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2900e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2901e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2902e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2903e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2904e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2905e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2906e16 ) @ V2890l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) )
% 5.55/5.84 <=> ? [V2907l_27: $i] :
% 5.55/5.84 ( ( mem @ V2907l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V2908e1: $i] :
% 5.55/5.84 ( ( mem @ V2908e1 @ A_27a )
% 5.55/5.84 & ? [V2909e2: $i] :
% 5.55/5.84 ( ( mem @ V2909e2 @ A_27a )
% 5.55/5.84 & ? [V2910e3: $i] :
% 5.55/5.84 ( ( mem @ V2910e3 @ A_27a )
% 5.55/5.84 & ? [V2911e4: $i] :
% 5.55/5.84 ( ( mem @ V2911e4 @ A_27a )
% 5.55/5.84 & ? [V2912e5: $i] :
% 5.55/5.84 ( ( mem @ V2912e5 @ A_27a )
% 5.55/5.84 & ? [V2913e6: $i] :
% 5.55/5.84 ( ( mem @ V2913e6 @ A_27a )
% 5.55/5.84 & ? [V2914e7: $i] :
% 5.55/5.84 ( ( mem @ V2914e7 @ A_27a )
% 5.55/5.84 & ? [V2915e8: $i] :
% 5.55/5.84 ( ( mem @ V2915e8 @ A_27a )
% 5.55/5.84 & ? [V2916e9: $i] :
% 5.55/5.84 ( ( mem @ V2916e9 @ A_27a )
% 5.55/5.84 & ? [V2917e10: $i] :
% 5.55/5.84 ( ( mem @ V2917e10 @ A_27a )
% 5.55/5.84 & ? [V2918e11: $i] :
% 5.55/5.84 ( ( mem @ V2918e11 @ A_27a )
% 5.55/5.84 & ? [V2919e12: $i] :
% 5.55/5.84 ( ( mem @ V2919e12 @ A_27a )
% 5.55/5.84 & ? [V2920e13: $i] :
% 5.55/5.84 ( ( mem @ V2920e13 @ A_27a )
% 5.55/5.84 & ? [V2921e14: $i] :
% 5.55/5.84 ( ( mem @ V2921e14 @ A_27a )
% 5.55/5.84 & ? [V2922e15: $i] :
% 5.55/5.84 ( ( mem @ V2922e15 @ A_27a )
% 5.55/5.84 & ? [V2923e16: $i] :
% 5.55/5.84 ( ( mem @ V2923e16 @ A_27a )
% 5.55/5.84 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2907l_27 ) ) )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2908e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2909e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2910e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2911e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2912e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2913e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2914e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2915e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2916e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2917e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2918e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2919e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2920e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2921e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2922e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2923e16 ) @ V2907l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.84 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.84 <=> ? [V2924l_27: $i] :
% 5.55/5.84 ( ( mem @ V2924l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V2925e1: $i] :
% 5.55/5.84 ( ( mem @ V2925e1 @ A_27a )
% 5.55/5.84 & ? [V2926e2: $i] :
% 5.55/5.84 ( ( mem @ V2926e2 @ A_27a )
% 5.55/5.84 & ? [V2927e3: $i] :
% 5.55/5.84 ( ( mem @ V2927e3 @ A_27a )
% 5.55/5.84 & ? [V2928e4: $i] :
% 5.55/5.84 ( ( mem @ V2928e4 @ A_27a )
% 5.55/5.84 & ? [V2929e5: $i] :
% 5.55/5.84 ( ( mem @ V2929e5 @ A_27a )
% 5.55/5.84 & ? [V2930e6: $i] :
% 5.55/5.84 ( ( mem @ V2930e6 @ A_27a )
% 5.55/5.84 & ? [V2931e7: $i] :
% 5.55/5.84 ( ( mem @ V2931e7 @ A_27a )
% 5.55/5.84 & ? [V2932e8: $i] :
% 5.55/5.84 ( ( mem @ V2932e8 @ A_27a )
% 5.55/5.84 & ? [V2933e9: $i] :
% 5.55/5.84 ( ( mem @ V2933e9 @ A_27a )
% 5.55/5.84 & ? [V2934e10: $i] :
% 5.55/5.84 ( ( mem @ V2934e10 @ A_27a )
% 5.55/5.84 & ? [V2935e11: $i] :
% 5.55/5.84 ( ( mem @ V2935e11 @ A_27a )
% 5.55/5.84 & ? [V2936e12: $i] :
% 5.55/5.84 ( ( mem @ V2936e12 @ A_27a )
% 5.55/5.84 & ? [V2937e13: $i] :
% 5.55/5.84 ( ( mem @ V2937e13 @ A_27a )
% 5.55/5.84 & ? [V2938e14: $i] :
% 5.55/5.84 ( ( mem @ V2938e14 @ A_27a )
% 5.55/5.84 & ? [V2939e15: $i] :
% 5.55/5.84 ( ( mem @ V2939e15 @ A_27a )
% 5.55/5.84 & ? [V2940e16: $i] :
% 5.55/5.84 ( ( mem @ V2940e16 @ A_27a )
% 5.55/5.84 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2924l_27 ) )
% 5.55/5.84 = V1x )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2925e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2926e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2927e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2928e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2929e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2930e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2931e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2932e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2933e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2934e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2935e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2936e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2937e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2938e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2939e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2940e16 ) @ V2924l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.55/5.84 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.84 <=> ? [V2941l_27: $i] :
% 5.55/5.84 ( ( mem @ V2941l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V2942e1: $i] :
% 5.55/5.84 ( ( mem @ V2942e1 @ A_27a )
% 5.55/5.84 & ? [V2943e2: $i] :
% 5.55/5.84 ( ( mem @ V2943e2 @ A_27a )
% 5.55/5.84 & ? [V2944e3: $i] :
% 5.55/5.84 ( ( mem @ V2944e3 @ A_27a )
% 5.55/5.84 & ? [V2945e4: $i] :
% 5.55/5.84 ( ( mem @ V2945e4 @ A_27a )
% 5.55/5.84 & ? [V2946e5: $i] :
% 5.55/5.84 ( ( mem @ V2946e5 @ A_27a )
% 5.55/5.84 & ? [V2947e6: $i] :
% 5.55/5.84 ( ( mem @ V2947e6 @ A_27a )
% 5.55/5.84 & ? [V2948e7: $i] :
% 5.55/5.84 ( ( mem @ V2948e7 @ A_27a )
% 5.55/5.84 & ? [V2949e8: $i] :
% 5.55/5.84 ( ( mem @ V2949e8 @ A_27a )
% 5.55/5.84 & ? [V2950e9: $i] :
% 5.55/5.84 ( ( mem @ V2950e9 @ A_27a )
% 5.55/5.84 & ? [V2951e10: $i] :
% 5.55/5.84 ( ( mem @ V2951e10 @ A_27a )
% 5.55/5.84 & ? [V2952e11: $i] :
% 5.55/5.84 ( ( mem @ V2952e11 @ A_27a )
% 5.55/5.84 & ? [V2953e12: $i] :
% 5.55/5.84 ( ( mem @ V2953e12 @ A_27a )
% 5.55/5.84 & ? [V2954e13: $i] :
% 5.55/5.84 ( ( mem @ V2954e13 @ A_27a )
% 5.55/5.84 & ? [V2955e14: $i] :
% 5.55/5.84 ( ( mem @ V2955e14 @ A_27a )
% 5.55/5.84 & ? [V2956e15: $i] :
% 5.55/5.84 ( ( mem @ V2956e15 @ A_27a )
% 5.55/5.84 & ? [V2957e16: $i] :
% 5.55/5.84 ( ( mem @ V2957e16 @ A_27a )
% 5.55/5.84 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2941l_27 ) )
% 5.55/5.84 = V1x )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2942e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2943e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2944e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2945e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2946e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2947e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2948e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2949e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2950e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2951e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2952e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2953e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2954e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2955e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2956e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2957e16 ) @ V2941l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.84 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) )
% 5.55/5.84 <=> ? [V2958l_27: $i] :
% 5.55/5.84 ( ( mem @ V2958l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V2959e1: $i] :
% 5.55/5.84 ( ( mem @ V2959e1 @ A_27a )
% 5.55/5.84 & ? [V2960e2: $i] :
% 5.55/5.84 ( ( mem @ V2960e2 @ A_27a )
% 5.55/5.84 & ? [V2961e3: $i] :
% 5.55/5.84 ( ( mem @ V2961e3 @ A_27a )
% 5.55/5.84 & ? [V2962e4: $i] :
% 5.55/5.84 ( ( mem @ V2962e4 @ A_27a )
% 5.55/5.84 & ? [V2963e5: $i] :
% 5.55/5.84 ( ( mem @ V2963e5 @ A_27a )
% 5.55/5.84 & ? [V2964e6: $i] :
% 5.55/5.84 ( ( mem @ V2964e6 @ A_27a )
% 5.55/5.84 & ? [V2965e7: $i] :
% 5.55/5.84 ( ( mem @ V2965e7 @ A_27a )
% 5.55/5.84 & ? [V2966e8: $i] :
% 5.55/5.84 ( ( mem @ V2966e8 @ A_27a )
% 5.55/5.84 & ? [V2967e9: $i] :
% 5.55/5.84 ( ( mem @ V2967e9 @ A_27a )
% 5.55/5.84 & ? [V2968e10: $i] :
% 5.55/5.84 ( ( mem @ V2968e10 @ A_27a )
% 5.55/5.84 & ? [V2969e11: $i] :
% 5.55/5.84 ( ( mem @ V2969e11 @ A_27a )
% 5.55/5.84 & ? [V2970e12: $i] :
% 5.55/5.84 ( ( mem @ V2970e12 @ A_27a )
% 5.55/5.84 & ? [V2971e13: $i] :
% 5.55/5.84 ( ( mem @ V2971e13 @ A_27a )
% 5.55/5.84 & ? [V2972e14: $i] :
% 5.55/5.84 ( ( mem @ V2972e14 @ A_27a )
% 5.55/5.84 & ? [V2973e15: $i] :
% 5.55/5.84 ( ( mem @ V2973e15 @ A_27a )
% 5.55/5.84 & ? [V2974e16: $i] :
% 5.55/5.84 ( ( mem @ V2974e16 @ A_27a )
% 5.55/5.84 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2958l_27 ) )
% 5.55/5.84 = V1x )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2959e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2960e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2961e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2962e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2963e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2964e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2965e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2966e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2967e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2968e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2969e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2970e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2971e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2972e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2973e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2974e16 ) @ V2958l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.84 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.84 <=> ? [V2975l_27: $i] :
% 5.55/5.84 ( ( mem @ V2975l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V2976e1: $i] :
% 5.55/5.84 ( ( mem @ V2976e1 @ A_27a )
% 5.55/5.84 & ? [V2977e2: $i] :
% 5.55/5.84 ( ( mem @ V2977e2 @ A_27a )
% 5.55/5.84 & ? [V2978e3: $i] :
% 5.55/5.84 ( ( mem @ V2978e3 @ A_27a )
% 5.55/5.84 & ? [V2979e4: $i] :
% 5.55/5.84 ( ( mem @ V2979e4 @ A_27a )
% 5.55/5.84 & ? [V2980e5: $i] :
% 5.55/5.84 ( ( mem @ V2980e5 @ A_27a )
% 5.55/5.84 & ? [V2981e6: $i] :
% 5.55/5.84 ( ( mem @ V2981e6 @ A_27a )
% 5.55/5.84 & ? [V2982e7: $i] :
% 5.55/5.84 ( ( mem @ V2982e7 @ A_27a )
% 5.55/5.84 & ? [V2983e8: $i] :
% 5.55/5.84 ( ( mem @ V2983e8 @ A_27a )
% 5.55/5.84 & ? [V2984e9: $i] :
% 5.55/5.84 ( ( mem @ V2984e9 @ A_27a )
% 5.55/5.84 & ? [V2985e10: $i] :
% 5.55/5.84 ( ( mem @ V2985e10 @ A_27a )
% 5.55/5.84 & ? [V2986e11: $i] :
% 5.55/5.84 ( ( mem @ V2986e11 @ A_27a )
% 5.55/5.84 & ? [V2987e12: $i] :
% 5.55/5.84 ( ( mem @ V2987e12 @ A_27a )
% 5.55/5.84 & ? [V2988e13: $i] :
% 5.55/5.84 ( ( mem @ V2988e13 @ A_27a )
% 5.55/5.84 & ? [V2989e14: $i] :
% 5.55/5.84 ( ( mem @ V2989e14 @ A_27a )
% 5.55/5.84 & ? [V2990e15: $i] :
% 5.55/5.84 ( ( mem @ V2990e15 @ A_27a )
% 5.55/5.84 & ? [V2991e16: $i] :
% 5.55/5.84 ( ( mem @ V2991e16 @ A_27a )
% 5.55/5.84 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2975l_27 ) )
% 5.55/5.84 = V1x )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2976e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2977e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2978e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2979e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2980e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2981e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2982e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2983e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2984e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2985e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2986e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2987e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2988e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2989e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2990e15 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2991e16 ) @ V2975l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.84 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.84 <=> ? [V2992e1: $i] :
% 5.55/5.84 ( ( mem @ V2992e1 @ A_27a )
% 5.55/5.84 & ? [V2993e2: $i] :
% 5.55/5.84 ( ( mem @ V2993e2 @ A_27a )
% 5.55/5.84 & ? [V2994e3: $i] :
% 5.55/5.84 ( ( mem @ V2994e3 @ A_27a )
% 5.55/5.84 & ? [V2995e4: $i] :
% 5.55/5.84 ( ( mem @ V2995e4 @ A_27a )
% 5.55/5.84 & ? [V2996e5: $i] :
% 5.55/5.84 ( ( mem @ V2996e5 @ A_27a )
% 5.55/5.84 & ? [V2997e6: $i] :
% 5.55/5.84 ( ( mem @ V2997e6 @ A_27a )
% 5.55/5.84 & ? [V2998e7: $i] :
% 5.55/5.84 ( ( mem @ V2998e7 @ A_27a )
% 5.55/5.84 & ? [V2999e8: $i] :
% 5.55/5.84 ( ( mem @ V2999e8 @ A_27a )
% 5.55/5.84 & ? [V3000e9: $i] :
% 5.55/5.84 ( ( mem @ V3000e9 @ A_27a )
% 5.55/5.84 & ? [V3001e10: $i] :
% 5.55/5.84 ( ( mem @ V3001e10 @ A_27a )
% 5.55/5.84 & ? [V3002e11: $i] :
% 5.55/5.84 ( ( mem @ V3002e11 @ A_27a )
% 5.55/5.84 & ? [V3003e12: $i] :
% 5.55/5.84 ( ( mem @ V3003e12 @ A_27a )
% 5.55/5.84 & ? [V3004e13: $i] :
% 5.55/5.84 ( ( mem @ V3004e13 @ A_27a )
% 5.55/5.84 & ? [V3005e14: $i] :
% 5.55/5.84 ( ( mem @ V3005e14 @ A_27a )
% 5.55/5.84 & ? [V3006e15: $i] :
% 5.55/5.84 ( ( mem @ V3006e15 @ A_27a )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2992e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2993e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2994e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2995e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2996e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2997e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2998e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2999e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3000e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3001e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3002e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3003e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3004e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3005e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3006e15 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.84 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.84 <=> ? [V3007e1: $i] :
% 5.55/5.84 ( ( mem @ V3007e1 @ A_27a )
% 5.55/5.84 & ? [V3008e2: $i] :
% 5.55/5.84 ( ( mem @ V3008e2 @ A_27a )
% 5.55/5.84 & ? [V3009e3: $i] :
% 5.55/5.84 ( ( mem @ V3009e3 @ A_27a )
% 5.55/5.84 & ? [V3010e4: $i] :
% 5.55/5.84 ( ( mem @ V3010e4 @ A_27a )
% 5.55/5.84 & ? [V3011e5: $i] :
% 5.55/5.84 ( ( mem @ V3011e5 @ A_27a )
% 5.55/5.84 & ? [V3012e6: $i] :
% 5.55/5.84 ( ( mem @ V3012e6 @ A_27a )
% 5.55/5.84 & ? [V3013e7: $i] :
% 5.55/5.84 ( ( mem @ V3013e7 @ A_27a )
% 5.55/5.84 & ? [V3014e8: $i] :
% 5.55/5.84 ( ( mem @ V3014e8 @ A_27a )
% 5.55/5.84 & ? [V3015e9: $i] :
% 5.55/5.84 ( ( mem @ V3015e9 @ A_27a )
% 5.55/5.84 & ? [V3016e10: $i] :
% 5.55/5.84 ( ( mem @ V3016e10 @ A_27a )
% 5.55/5.84 & ? [V3017e11: $i] :
% 5.55/5.84 ( ( mem @ V3017e11 @ A_27a )
% 5.55/5.84 & ? [V3018e12: $i] :
% 5.55/5.84 ( ( mem @ V3018e12 @ A_27a )
% 5.55/5.84 & ? [V3019e13: $i] :
% 5.55/5.84 ( ( mem @ V3019e13 @ A_27a )
% 5.55/5.84 & ? [V3020e14: $i] :
% 5.55/5.84 ( ( mem @ V3020e14 @ A_27a )
% 5.55/5.84 & ? [V3021e15: $i] :
% 5.55/5.84 ( ( mem @ V3021e15 @ A_27a )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3007e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3008e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3009e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3010e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3011e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3012e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3013e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3014e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3015e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3016e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3017e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3018e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3019e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3020e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3021e15 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.84 <=> ? [V3022l_27: $i] :
% 5.55/5.84 ( ( mem @ V3022l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V3023e1: $i] :
% 5.55/5.84 ( ( mem @ V3023e1 @ A_27a )
% 5.55/5.84 & ? [V3024e2: $i] :
% 5.55/5.84 ( ( mem @ V3024e2 @ A_27a )
% 5.55/5.84 & ? [V3025e3: $i] :
% 5.55/5.84 ( ( mem @ V3025e3 @ A_27a )
% 5.55/5.84 & ? [V3026e4: $i] :
% 5.55/5.84 ( ( mem @ V3026e4 @ A_27a )
% 5.55/5.84 & ? [V3027e5: $i] :
% 5.55/5.84 ( ( mem @ V3027e5 @ A_27a )
% 5.55/5.84 & ? [V3028e6: $i] :
% 5.55/5.84 ( ( mem @ V3028e6 @ A_27a )
% 5.55/5.84 & ? [V3029e7: $i] :
% 5.55/5.84 ( ( mem @ V3029e7 @ A_27a )
% 5.55/5.84 & ? [V3030e8: $i] :
% 5.55/5.84 ( ( mem @ V3030e8 @ A_27a )
% 5.55/5.84 & ? [V3031e9: $i] :
% 5.55/5.84 ( ( mem @ V3031e9 @ A_27a )
% 5.55/5.84 & ? [V3032e10: $i] :
% 5.55/5.84 ( ( mem @ V3032e10 @ A_27a )
% 5.55/5.84 & ? [V3033e11: $i] :
% 5.55/5.84 ( ( mem @ V3033e11 @ A_27a )
% 5.55/5.84 & ? [V3034e12: $i] :
% 5.55/5.84 ( ( mem @ V3034e12 @ A_27a )
% 5.55/5.84 & ? [V3035e13: $i] :
% 5.55/5.84 ( ( mem @ V3035e13 @ A_27a )
% 5.55/5.84 & ? [V3036e14: $i] :
% 5.55/5.84 ( ( mem @ V3036e14 @ A_27a )
% 5.55/5.84 & ? [V3037e15: $i] :
% 5.55/5.84 ( ( mem @ V3037e15 @ A_27a )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3023e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3024e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3025e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3026e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3027e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3028e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3029e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3030e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3031e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3032e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3033e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3034e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3035e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3036e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3037e15 ) @ V3022l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.84 <=> ? [V3038l_27: $i] :
% 5.55/5.84 ( ( mem @ V3038l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V3039e1: $i] :
% 5.55/5.84 ( ( mem @ V3039e1 @ A_27a )
% 5.55/5.84 & ? [V3040e2: $i] :
% 5.55/5.84 ( ( mem @ V3040e2 @ A_27a )
% 5.55/5.84 & ? [V3041e3: $i] :
% 5.55/5.84 ( ( mem @ V3041e3 @ A_27a )
% 5.55/5.84 & ? [V3042e4: $i] :
% 5.55/5.84 ( ( mem @ V3042e4 @ A_27a )
% 5.55/5.84 & ? [V3043e5: $i] :
% 5.55/5.84 ( ( mem @ V3043e5 @ A_27a )
% 5.55/5.84 & ? [V3044e6: $i] :
% 5.55/5.84 ( ( mem @ V3044e6 @ A_27a )
% 5.55/5.84 & ? [V3045e7: $i] :
% 5.55/5.84 ( ( mem @ V3045e7 @ A_27a )
% 5.55/5.84 & ? [V3046e8: $i] :
% 5.55/5.84 ( ( mem @ V3046e8 @ A_27a )
% 5.55/5.84 & ? [V3047e9: $i] :
% 5.55/5.84 ( ( mem @ V3047e9 @ A_27a )
% 5.55/5.84 & ? [V3048e10: $i] :
% 5.55/5.84 ( ( mem @ V3048e10 @ A_27a )
% 5.55/5.84 & ? [V3049e11: $i] :
% 5.55/5.84 ( ( mem @ V3049e11 @ A_27a )
% 5.55/5.84 & ? [V3050e12: $i] :
% 5.55/5.84 ( ( mem @ V3050e12 @ A_27a )
% 5.55/5.84 & ? [V3051e13: $i] :
% 5.55/5.84 ( ( mem @ V3051e13 @ A_27a )
% 5.55/5.84 & ? [V3052e14: $i] :
% 5.55/5.84 ( ( mem @ V3052e14 @ A_27a )
% 5.55/5.84 & ? [V3053e15: $i] :
% 5.55/5.84 ( ( mem @ V3053e15 @ A_27a )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3039e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3040e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3041e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3042e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3043e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3044e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3045e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3046e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3047e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3048e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3049e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3050e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3051e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3052e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3053e15 ) @ V3038l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.84 <=> ? [V3054l_27: $i] :
% 5.55/5.84 ( ( mem @ V3054l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V3055e1: $i] :
% 5.55/5.84 ( ( mem @ V3055e1 @ A_27a )
% 5.55/5.84 & ? [V3056e2: $i] :
% 5.55/5.84 ( ( mem @ V3056e2 @ A_27a )
% 5.55/5.84 & ? [V3057e3: $i] :
% 5.55/5.84 ( ( mem @ V3057e3 @ A_27a )
% 5.55/5.84 & ? [V3058e4: $i] :
% 5.55/5.84 ( ( mem @ V3058e4 @ A_27a )
% 5.55/5.84 & ? [V3059e5: $i] :
% 5.55/5.84 ( ( mem @ V3059e5 @ A_27a )
% 5.55/5.84 & ? [V3060e6: $i] :
% 5.55/5.84 ( ( mem @ V3060e6 @ A_27a )
% 5.55/5.84 & ? [V3061e7: $i] :
% 5.55/5.84 ( ( mem @ V3061e7 @ A_27a )
% 5.55/5.84 & ? [V3062e8: $i] :
% 5.55/5.84 ( ( mem @ V3062e8 @ A_27a )
% 5.55/5.84 & ? [V3063e9: $i] :
% 5.55/5.84 ( ( mem @ V3063e9 @ A_27a )
% 5.55/5.84 & ? [V3064e10: $i] :
% 5.55/5.84 ( ( mem @ V3064e10 @ A_27a )
% 5.55/5.84 & ? [V3065e11: $i] :
% 5.55/5.84 ( ( mem @ V3065e11 @ A_27a )
% 5.55/5.84 & ? [V3066e12: $i] :
% 5.55/5.84 ( ( mem @ V3066e12 @ A_27a )
% 5.55/5.84 & ? [V3067e13: $i] :
% 5.55/5.84 ( ( mem @ V3067e13 @ A_27a )
% 5.55/5.84 & ? [V3068e14: $i] :
% 5.55/5.84 ( ( mem @ V3068e14 @ A_27a )
% 5.55/5.84 & ? [V3069e15: $i] :
% 5.55/5.84 ( ( mem @ V3069e15 @ A_27a )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3055e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3056e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3057e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3058e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3059e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3060e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3061e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3062e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3063e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3064e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3065e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3066e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3067e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3068e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3069e15 ) @ V3054l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.84 <=> ? [V3070l_27: $i] :
% 5.55/5.84 ( ( mem @ V3070l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V3071e1: $i] :
% 5.55/5.84 ( ( mem @ V3071e1 @ A_27a )
% 5.55/5.84 & ? [V3072e2: $i] :
% 5.55/5.84 ( ( mem @ V3072e2 @ A_27a )
% 5.55/5.84 & ? [V3073e3: $i] :
% 5.55/5.84 ( ( mem @ V3073e3 @ A_27a )
% 5.55/5.84 & ? [V3074e4: $i] :
% 5.55/5.84 ( ( mem @ V3074e4 @ A_27a )
% 5.55/5.84 & ? [V3075e5: $i] :
% 5.55/5.84 ( ( mem @ V3075e5 @ A_27a )
% 5.55/5.84 & ? [V3076e6: $i] :
% 5.55/5.84 ( ( mem @ V3076e6 @ A_27a )
% 5.55/5.84 & ? [V3077e7: $i] :
% 5.55/5.84 ( ( mem @ V3077e7 @ A_27a )
% 5.55/5.84 & ? [V3078e8: $i] :
% 5.55/5.84 ( ( mem @ V3078e8 @ A_27a )
% 5.55/5.84 & ? [V3079e9: $i] :
% 5.55/5.84 ( ( mem @ V3079e9 @ A_27a )
% 5.55/5.84 & ? [V3080e10: $i] :
% 5.55/5.84 ( ( mem @ V3080e10 @ A_27a )
% 5.55/5.84 & ? [V3081e11: $i] :
% 5.55/5.84 ( ( mem @ V3081e11 @ A_27a )
% 5.55/5.84 & ? [V3082e12: $i] :
% 5.55/5.84 ( ( mem @ V3082e12 @ A_27a )
% 5.55/5.84 & ? [V3083e13: $i] :
% 5.55/5.84 ( ( mem @ V3083e13 @ A_27a )
% 5.55/5.84 & ? [V3084e14: $i] :
% 5.55/5.84 ( ( mem @ V3084e14 @ A_27a )
% 5.55/5.84 & ? [V3085e15: $i] :
% 5.55/5.84 ( ( mem @ V3085e15 @ A_27a )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3071e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3072e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3073e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3074e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3075e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3076e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3077e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3078e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3079e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3080e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3081e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3082e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3083e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3084e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3085e15 ) @ V3070l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.84 <=> ? [V3086l_27: $i] :
% 5.55/5.84 ( ( mem @ V3086l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V3087e1: $i] :
% 5.55/5.84 ( ( mem @ V3087e1 @ A_27a )
% 5.55/5.84 & ? [V3088e2: $i] :
% 5.55/5.84 ( ( mem @ V3088e2 @ A_27a )
% 5.55/5.84 & ? [V3089e3: $i] :
% 5.55/5.84 ( ( mem @ V3089e3 @ A_27a )
% 5.55/5.84 & ? [V3090e4: $i] :
% 5.55/5.84 ( ( mem @ V3090e4 @ A_27a )
% 5.55/5.84 & ? [V3091e5: $i] :
% 5.55/5.84 ( ( mem @ V3091e5 @ A_27a )
% 5.55/5.84 & ? [V3092e6: $i] :
% 5.55/5.84 ( ( mem @ V3092e6 @ A_27a )
% 5.55/5.84 & ? [V3093e7: $i] :
% 5.55/5.84 ( ( mem @ V3093e7 @ A_27a )
% 5.55/5.84 & ? [V3094e8: $i] :
% 5.55/5.84 ( ( mem @ V3094e8 @ A_27a )
% 5.55/5.84 & ? [V3095e9: $i] :
% 5.55/5.84 ( ( mem @ V3095e9 @ A_27a )
% 5.55/5.84 & ? [V3096e10: $i] :
% 5.55/5.84 ( ( mem @ V3096e10 @ A_27a )
% 5.55/5.84 & ? [V3097e11: $i] :
% 5.55/5.84 ( ( mem @ V3097e11 @ A_27a )
% 5.55/5.84 & ? [V3098e12: $i] :
% 5.55/5.84 ( ( mem @ V3098e12 @ A_27a )
% 5.55/5.84 & ? [V3099e13: $i] :
% 5.55/5.84 ( ( mem @ V3099e13 @ A_27a )
% 5.55/5.84 & ? [V3100e14: $i] :
% 5.55/5.84 ( ( mem @ V3100e14 @ A_27a )
% 5.55/5.84 & ? [V3101e15: $i] :
% 5.55/5.84 ( ( mem @ V3101e15 @ A_27a )
% 5.55/5.84 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V3086l_27 ) ) )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3087e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3088e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3089e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3090e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3091e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3092e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3093e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3094e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3095e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3096e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3097e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3098e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3099e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3100e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3101e15 ) @ V3086l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.84 <=> ? [V3102l_27: $i] :
% 5.55/5.84 ( ( mem @ V3102l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V3103e1: $i] :
% 5.55/5.84 ( ( mem @ V3103e1 @ A_27a )
% 5.55/5.84 & ? [V3104e2: $i] :
% 5.55/5.84 ( ( mem @ V3104e2 @ A_27a )
% 5.55/5.84 & ? [V3105e3: $i] :
% 5.55/5.84 ( ( mem @ V3105e3 @ A_27a )
% 5.55/5.84 & ? [V3106e4: $i] :
% 5.55/5.84 ( ( mem @ V3106e4 @ A_27a )
% 5.55/5.84 & ? [V3107e5: $i] :
% 5.55/5.84 ( ( mem @ V3107e5 @ A_27a )
% 5.55/5.84 & ? [V3108e6: $i] :
% 5.55/5.84 ( ( mem @ V3108e6 @ A_27a )
% 5.55/5.84 & ? [V3109e7: $i] :
% 5.55/5.84 ( ( mem @ V3109e7 @ A_27a )
% 5.55/5.84 & ? [V3110e8: $i] :
% 5.55/5.84 ( ( mem @ V3110e8 @ A_27a )
% 5.55/5.84 & ? [V3111e9: $i] :
% 5.55/5.84 ( ( mem @ V3111e9 @ A_27a )
% 5.55/5.84 & ? [V3112e10: $i] :
% 5.55/5.84 ( ( mem @ V3112e10 @ A_27a )
% 5.55/5.84 & ? [V3113e11: $i] :
% 5.55/5.84 ( ( mem @ V3113e11 @ A_27a )
% 5.55/5.84 & ? [V3114e12: $i] :
% 5.55/5.84 ( ( mem @ V3114e12 @ A_27a )
% 5.55/5.84 & ? [V3115e13: $i] :
% 5.55/5.84 ( ( mem @ V3115e13 @ A_27a )
% 5.55/5.84 & ? [V3116e14: $i] :
% 5.55/5.84 ( ( mem @ V3116e14 @ A_27a )
% 5.55/5.84 & ? [V3117e15: $i] :
% 5.55/5.84 ( ( mem @ V3117e15 @ A_27a )
% 5.55/5.84 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V3102l_27 ) ) )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3103e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3104e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3105e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3106e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3107e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3108e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3109e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3110e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3111e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3112e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3113e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3114e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3115e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3116e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3117e15 ) @ V3102l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.84 <=> ? [V3118l_27: $i] :
% 5.55/5.84 ( ( mem @ V3118l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V3119e1: $i] :
% 5.55/5.84 ( ( mem @ V3119e1 @ A_27a )
% 5.55/5.84 & ? [V3120e2: $i] :
% 5.55/5.84 ( ( mem @ V3120e2 @ A_27a )
% 5.55/5.84 & ? [V3121e3: $i] :
% 5.55/5.84 ( ( mem @ V3121e3 @ A_27a )
% 5.55/5.84 & ? [V3122e4: $i] :
% 5.55/5.84 ( ( mem @ V3122e4 @ A_27a )
% 5.55/5.84 & ? [V3123e5: $i] :
% 5.55/5.84 ( ( mem @ V3123e5 @ A_27a )
% 5.55/5.84 & ? [V3124e6: $i] :
% 5.55/5.84 ( ( mem @ V3124e6 @ A_27a )
% 5.55/5.84 & ? [V3125e7: $i] :
% 5.55/5.84 ( ( mem @ V3125e7 @ A_27a )
% 5.55/5.84 & ? [V3126e8: $i] :
% 5.55/5.84 ( ( mem @ V3126e8 @ A_27a )
% 5.55/5.84 & ? [V3127e9: $i] :
% 5.55/5.84 ( ( mem @ V3127e9 @ A_27a )
% 5.55/5.84 & ? [V3128e10: $i] :
% 5.55/5.84 ( ( mem @ V3128e10 @ A_27a )
% 5.55/5.84 & ? [V3129e11: $i] :
% 5.55/5.84 ( ( mem @ V3129e11 @ A_27a )
% 5.55/5.84 & ? [V3130e12: $i] :
% 5.55/5.84 ( ( mem @ V3130e12 @ A_27a )
% 5.55/5.84 & ? [V3131e13: $i] :
% 5.55/5.84 ( ( mem @ V3131e13 @ A_27a )
% 5.55/5.84 & ? [V3132e14: $i] :
% 5.55/5.84 ( ( mem @ V3132e14 @ A_27a )
% 5.55/5.84 & ? [V3133e15: $i] :
% 5.55/5.84 ( ( mem @ V3133e15 @ A_27a )
% 5.55/5.84 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V3118l_27 ) ) )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3119e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3120e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3121e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3122e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3123e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3124e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3125e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3126e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3127e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3128e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3129e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3130e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3131e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3132e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3133e15 ) @ V3118l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) )
% 5.55/5.84 <=> ? [V3134l_27: $i] :
% 5.55/5.84 ( ( mem @ V3134l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V3135e1: $i] :
% 5.55/5.84 ( ( mem @ V3135e1 @ A_27a )
% 5.55/5.84 & ? [V3136e2: $i] :
% 5.55/5.84 ( ( mem @ V3136e2 @ A_27a )
% 5.55/5.84 & ? [V3137e3: $i] :
% 5.55/5.84 ( ( mem @ V3137e3 @ A_27a )
% 5.55/5.84 & ? [V3138e4: $i] :
% 5.55/5.84 ( ( mem @ V3138e4 @ A_27a )
% 5.55/5.84 & ? [V3139e5: $i] :
% 5.55/5.84 ( ( mem @ V3139e5 @ A_27a )
% 5.55/5.84 & ? [V3140e6: $i] :
% 5.55/5.84 ( ( mem @ V3140e6 @ A_27a )
% 5.55/5.84 & ? [V3141e7: $i] :
% 5.55/5.84 ( ( mem @ V3141e7 @ A_27a )
% 5.55/5.84 & ? [V3142e8: $i] :
% 5.55/5.84 ( ( mem @ V3142e8 @ A_27a )
% 5.55/5.84 & ? [V3143e9: $i] :
% 5.55/5.84 ( ( mem @ V3143e9 @ A_27a )
% 5.55/5.84 & ? [V3144e10: $i] :
% 5.55/5.84 ( ( mem @ V3144e10 @ A_27a )
% 5.55/5.84 & ? [V3145e11: $i] :
% 5.55/5.84 ( ( mem @ V3145e11 @ A_27a )
% 5.55/5.84 & ? [V3146e12: $i] :
% 5.55/5.84 ( ( mem @ V3146e12 @ A_27a )
% 5.55/5.84 & ? [V3147e13: $i] :
% 5.55/5.84 ( ( mem @ V3147e13 @ A_27a )
% 5.55/5.84 & ? [V3148e14: $i] :
% 5.55/5.84 ( ( mem @ V3148e14 @ A_27a )
% 5.55/5.84 & ? [V3149e15: $i] :
% 5.55/5.84 ( ( mem @ V3149e15 @ A_27a )
% 5.55/5.84 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V3134l_27 ) ) )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3135e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3136e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3137e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3138e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3139e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3140e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3141e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3142e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3143e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3144e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3145e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3146e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3147e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3148e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3149e15 ) @ V3134l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.84 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.84 <=> ? [V3150l_27: $i] :
% 5.55/5.84 ( ( mem @ V3150l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V3151e1: $i] :
% 5.55/5.84 ( ( mem @ V3151e1 @ A_27a )
% 5.55/5.84 & ? [V3152e2: $i] :
% 5.55/5.84 ( ( mem @ V3152e2 @ A_27a )
% 5.55/5.84 & ? [V3153e3: $i] :
% 5.55/5.84 ( ( mem @ V3153e3 @ A_27a )
% 5.55/5.84 & ? [V3154e4: $i] :
% 5.55/5.84 ( ( mem @ V3154e4 @ A_27a )
% 5.55/5.84 & ? [V3155e5: $i] :
% 5.55/5.84 ( ( mem @ V3155e5 @ A_27a )
% 5.55/5.84 & ? [V3156e6: $i] :
% 5.55/5.84 ( ( mem @ V3156e6 @ A_27a )
% 5.55/5.84 & ? [V3157e7: $i] :
% 5.55/5.84 ( ( mem @ V3157e7 @ A_27a )
% 5.55/5.84 & ? [V3158e8: $i] :
% 5.55/5.84 ( ( mem @ V3158e8 @ A_27a )
% 5.55/5.84 & ? [V3159e9: $i] :
% 5.55/5.84 ( ( mem @ V3159e9 @ A_27a )
% 5.55/5.84 & ? [V3160e10: $i] :
% 5.55/5.84 ( ( mem @ V3160e10 @ A_27a )
% 5.55/5.84 & ? [V3161e11: $i] :
% 5.55/5.84 ( ( mem @ V3161e11 @ A_27a )
% 5.55/5.84 & ? [V3162e12: $i] :
% 5.55/5.84 ( ( mem @ V3162e12 @ A_27a )
% 5.55/5.84 & ? [V3163e13: $i] :
% 5.55/5.84 ( ( mem @ V3163e13 @ A_27a )
% 5.55/5.84 & ? [V3164e14: $i] :
% 5.55/5.84 ( ( mem @ V3164e14 @ A_27a )
% 5.55/5.84 & ? [V3165e15: $i] :
% 5.55/5.84 ( ( mem @ V3165e15 @ A_27a )
% 5.55/5.84 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V3150l_27 ) )
% 5.55/5.84 = V1x )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3151e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3152e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3153e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3154e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3155e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3156e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3157e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3158e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3159e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3160e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3161e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3162e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3163e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3164e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3165e15 ) @ V3150l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.55/5.84 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.84 <=> ? [V3166l_27: $i] :
% 5.55/5.84 ( ( mem @ V3166l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V3167e1: $i] :
% 5.55/5.84 ( ( mem @ V3167e1 @ A_27a )
% 5.55/5.84 & ? [V3168e2: $i] :
% 5.55/5.84 ( ( mem @ V3168e2 @ A_27a )
% 5.55/5.84 & ? [V3169e3: $i] :
% 5.55/5.84 ( ( mem @ V3169e3 @ A_27a )
% 5.55/5.84 & ? [V3170e4: $i] :
% 5.55/5.84 ( ( mem @ V3170e4 @ A_27a )
% 5.55/5.84 & ? [V3171e5: $i] :
% 5.55/5.84 ( ( mem @ V3171e5 @ A_27a )
% 5.55/5.84 & ? [V3172e6: $i] :
% 5.55/5.84 ( ( mem @ V3172e6 @ A_27a )
% 5.55/5.84 & ? [V3173e7: $i] :
% 5.55/5.84 ( ( mem @ V3173e7 @ A_27a )
% 5.55/5.84 & ? [V3174e8: $i] :
% 5.55/5.84 ( ( mem @ V3174e8 @ A_27a )
% 5.55/5.84 & ? [V3175e9: $i] :
% 5.55/5.84 ( ( mem @ V3175e9 @ A_27a )
% 5.55/5.84 & ? [V3176e10: $i] :
% 5.55/5.84 ( ( mem @ V3176e10 @ A_27a )
% 5.55/5.84 & ? [V3177e11: $i] :
% 5.55/5.84 ( ( mem @ V3177e11 @ A_27a )
% 5.55/5.84 & ? [V3178e12: $i] :
% 5.55/5.84 ( ( mem @ V3178e12 @ A_27a )
% 5.55/5.84 & ? [V3179e13: $i] :
% 5.55/5.84 ( ( mem @ V3179e13 @ A_27a )
% 5.55/5.84 & ? [V3180e14: $i] :
% 5.55/5.84 ( ( mem @ V3180e14 @ A_27a )
% 5.55/5.84 & ? [V3181e15: $i] :
% 5.55/5.84 ( ( mem @ V3181e15 @ A_27a )
% 5.55/5.84 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V3166l_27 ) )
% 5.55/5.84 = V1x )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3167e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3168e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3169e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3170e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3171e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3172e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3173e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3174e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3175e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3176e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3177e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3178e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3179e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3180e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3181e15 ) @ V3166l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.84 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) )
% 5.55/5.84 <=> ? [V3182l_27: $i] :
% 5.55/5.84 ( ( mem @ V3182l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V3183e1: $i] :
% 5.55/5.84 ( ( mem @ V3183e1 @ A_27a )
% 5.55/5.84 & ? [V3184e2: $i] :
% 5.55/5.84 ( ( mem @ V3184e2 @ A_27a )
% 5.55/5.84 & ? [V3185e3: $i] :
% 5.55/5.84 ( ( mem @ V3185e3 @ A_27a )
% 5.55/5.84 & ? [V3186e4: $i] :
% 5.55/5.84 ( ( mem @ V3186e4 @ A_27a )
% 5.55/5.84 & ? [V3187e5: $i] :
% 5.55/5.84 ( ( mem @ V3187e5 @ A_27a )
% 5.55/5.84 & ? [V3188e6: $i] :
% 5.55/5.84 ( ( mem @ V3188e6 @ A_27a )
% 5.55/5.84 & ? [V3189e7: $i] :
% 5.55/5.84 ( ( mem @ V3189e7 @ A_27a )
% 5.55/5.84 & ? [V3190e8: $i] :
% 5.55/5.84 ( ( mem @ V3190e8 @ A_27a )
% 5.55/5.84 & ? [V3191e9: $i] :
% 5.55/5.84 ( ( mem @ V3191e9 @ A_27a )
% 5.55/5.84 & ? [V3192e10: $i] :
% 5.55/5.84 ( ( mem @ V3192e10 @ A_27a )
% 5.55/5.84 & ? [V3193e11: $i] :
% 5.55/5.84 ( ( mem @ V3193e11 @ A_27a )
% 5.55/5.84 & ? [V3194e12: $i] :
% 5.55/5.84 ( ( mem @ V3194e12 @ A_27a )
% 5.55/5.84 & ? [V3195e13: $i] :
% 5.55/5.84 ( ( mem @ V3195e13 @ A_27a )
% 5.55/5.84 & ? [V3196e14: $i] :
% 5.55/5.84 ( ( mem @ V3196e14 @ A_27a )
% 5.55/5.84 & ? [V3197e15: $i] :
% 5.55/5.84 ( ( mem @ V3197e15 @ A_27a )
% 5.55/5.84 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V3182l_27 ) )
% 5.55/5.84 = V1x )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3183e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3184e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3185e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3186e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3187e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3188e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3189e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3190e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3191e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3192e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3193e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3194e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3195e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3196e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3197e15 ) @ V3182l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.84 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.84 <=> ? [V3198l_27: $i] :
% 5.55/5.84 ( ( mem @ V3198l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V3199e1: $i] :
% 5.55/5.84 ( ( mem @ V3199e1 @ A_27a )
% 5.55/5.84 & ? [V3200e2: $i] :
% 5.55/5.84 ( ( mem @ V3200e2 @ A_27a )
% 5.55/5.84 & ? [V3201e3: $i] :
% 5.55/5.84 ( ( mem @ V3201e3 @ A_27a )
% 5.55/5.84 & ? [V3202e4: $i] :
% 5.55/5.84 ( ( mem @ V3202e4 @ A_27a )
% 5.55/5.84 & ? [V3203e5: $i] :
% 5.55/5.84 ( ( mem @ V3203e5 @ A_27a )
% 5.55/5.84 & ? [V3204e6: $i] :
% 5.55/5.84 ( ( mem @ V3204e6 @ A_27a )
% 5.55/5.84 & ? [V3205e7: $i] :
% 5.55/5.84 ( ( mem @ V3205e7 @ A_27a )
% 5.55/5.84 & ? [V3206e8: $i] :
% 5.55/5.84 ( ( mem @ V3206e8 @ A_27a )
% 5.55/5.84 & ? [V3207e9: $i] :
% 5.55/5.84 ( ( mem @ V3207e9 @ A_27a )
% 5.55/5.84 & ? [V3208e10: $i] :
% 5.55/5.84 ( ( mem @ V3208e10 @ A_27a )
% 5.55/5.84 & ? [V3209e11: $i] :
% 5.55/5.84 ( ( mem @ V3209e11 @ A_27a )
% 5.55/5.84 & ? [V3210e12: $i] :
% 5.55/5.84 ( ( mem @ V3210e12 @ A_27a )
% 5.55/5.84 & ? [V3211e13: $i] :
% 5.55/5.84 ( ( mem @ V3211e13 @ A_27a )
% 5.55/5.84 & ? [V3212e14: $i] :
% 5.55/5.84 ( ( mem @ V3212e14 @ A_27a )
% 5.55/5.84 & ? [V3213e15: $i] :
% 5.55/5.84 ( ( mem @ V3213e15 @ A_27a )
% 5.55/5.84 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V3198l_27 ) )
% 5.55/5.84 = V1x )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3199e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3200e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3201e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3202e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3203e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3204e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3205e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3206e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3207e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3208e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3209e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3210e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3211e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3212e14 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3213e15 ) @ V3198l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.84 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.84 <=> ? [V3214e1: $i] :
% 5.55/5.84 ( ( mem @ V3214e1 @ A_27a )
% 5.55/5.84 & ? [V3215e2: $i] :
% 5.55/5.84 ( ( mem @ V3215e2 @ A_27a )
% 5.55/5.84 & ? [V3216e3: $i] :
% 5.55/5.84 ( ( mem @ V3216e3 @ A_27a )
% 5.55/5.84 & ? [V3217e4: $i] :
% 5.55/5.84 ( ( mem @ V3217e4 @ A_27a )
% 5.55/5.84 & ? [V3218e5: $i] :
% 5.55/5.84 ( ( mem @ V3218e5 @ A_27a )
% 5.55/5.84 & ? [V3219e6: $i] :
% 5.55/5.84 ( ( mem @ V3219e6 @ A_27a )
% 5.55/5.84 & ? [V3220e7: $i] :
% 5.55/5.84 ( ( mem @ V3220e7 @ A_27a )
% 5.55/5.84 & ? [V3221e8: $i] :
% 5.55/5.84 ( ( mem @ V3221e8 @ A_27a )
% 5.55/5.84 & ? [V3222e9: $i] :
% 5.55/5.84 ( ( mem @ V3222e9 @ A_27a )
% 5.55/5.84 & ? [V3223e10: $i] :
% 5.55/5.84 ( ( mem @ V3223e10 @ A_27a )
% 5.55/5.84 & ? [V3224e11: $i] :
% 5.55/5.84 ( ( mem @ V3224e11 @ A_27a )
% 5.55/5.84 & ? [V3225e12: $i] :
% 5.55/5.84 ( ( mem @ V3225e12 @ A_27a )
% 5.55/5.84 & ? [V3226e13: $i] :
% 5.55/5.84 ( ( mem @ V3226e13 @ A_27a )
% 5.55/5.84 & ? [V3227e14: $i] :
% 5.55/5.84 ( ( mem @ V3227e14 @ A_27a )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3214e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3215e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3216e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3217e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3218e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3219e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3220e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3221e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3222e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3223e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3224e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3225e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3226e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3227e14 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.84 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.84 <=> ? [V3228e1: $i] :
% 5.55/5.84 ( ( mem @ V3228e1 @ A_27a )
% 5.55/5.84 & ? [V3229e2: $i] :
% 5.55/5.84 ( ( mem @ V3229e2 @ A_27a )
% 5.55/5.84 & ? [V3230e3: $i] :
% 5.55/5.84 ( ( mem @ V3230e3 @ A_27a )
% 5.55/5.84 & ? [V3231e4: $i] :
% 5.55/5.84 ( ( mem @ V3231e4 @ A_27a )
% 5.55/5.84 & ? [V3232e5: $i] :
% 5.55/5.84 ( ( mem @ V3232e5 @ A_27a )
% 5.55/5.84 & ? [V3233e6: $i] :
% 5.55/5.84 ( ( mem @ V3233e6 @ A_27a )
% 5.55/5.84 & ? [V3234e7: $i] :
% 5.55/5.84 ( ( mem @ V3234e7 @ A_27a )
% 5.55/5.84 & ? [V3235e8: $i] :
% 5.55/5.84 ( ( mem @ V3235e8 @ A_27a )
% 5.55/5.84 & ? [V3236e9: $i] :
% 5.55/5.84 ( ( mem @ V3236e9 @ A_27a )
% 5.55/5.84 & ? [V3237e10: $i] :
% 5.55/5.84 ( ( mem @ V3237e10 @ A_27a )
% 5.55/5.84 & ? [V3238e11: $i] :
% 5.55/5.84 ( ( mem @ V3238e11 @ A_27a )
% 5.55/5.84 & ? [V3239e12: $i] :
% 5.55/5.84 ( ( mem @ V3239e12 @ A_27a )
% 5.55/5.84 & ? [V3240e13: $i] :
% 5.55/5.84 ( ( mem @ V3240e13 @ A_27a )
% 5.55/5.84 & ? [V3241e14: $i] :
% 5.55/5.84 ( ( mem @ V3241e14 @ A_27a )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3228e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3229e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3230e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3231e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3232e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3233e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3234e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3235e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3236e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3237e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3238e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3239e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3240e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3241e14 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.84 <=> ? [V3242l_27: $i] :
% 5.55/5.84 ( ( mem @ V3242l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V3243e1: $i] :
% 5.55/5.84 ( ( mem @ V3243e1 @ A_27a )
% 5.55/5.84 & ? [V3244e2: $i] :
% 5.55/5.84 ( ( mem @ V3244e2 @ A_27a )
% 5.55/5.84 & ? [V3245e3: $i] :
% 5.55/5.84 ( ( mem @ V3245e3 @ A_27a )
% 5.55/5.84 & ? [V3246e4: $i] :
% 5.55/5.84 ( ( mem @ V3246e4 @ A_27a )
% 5.55/5.84 & ? [V3247e5: $i] :
% 5.55/5.84 ( ( mem @ V3247e5 @ A_27a )
% 5.55/5.84 & ? [V3248e6: $i] :
% 5.55/5.84 ( ( mem @ V3248e6 @ A_27a )
% 5.55/5.84 & ? [V3249e7: $i] :
% 5.55/5.84 ( ( mem @ V3249e7 @ A_27a )
% 5.55/5.84 & ? [V3250e8: $i] :
% 5.55/5.84 ( ( mem @ V3250e8 @ A_27a )
% 5.55/5.84 & ? [V3251e9: $i] :
% 5.55/5.84 ( ( mem @ V3251e9 @ A_27a )
% 5.55/5.84 & ? [V3252e10: $i] :
% 5.55/5.84 ( ( mem @ V3252e10 @ A_27a )
% 5.55/5.84 & ? [V3253e11: $i] :
% 5.55/5.84 ( ( mem @ V3253e11 @ A_27a )
% 5.55/5.84 & ? [V3254e12: $i] :
% 5.55/5.84 ( ( mem @ V3254e12 @ A_27a )
% 5.55/5.84 & ? [V3255e13: $i] :
% 5.55/5.84 ( ( mem @ V3255e13 @ A_27a )
% 5.55/5.84 & ? [V3256e14: $i] :
% 5.55/5.84 ( ( mem @ V3256e14 @ A_27a )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3243e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3244e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3245e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3246e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3247e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3248e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3249e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3250e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3251e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3252e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3253e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3254e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3255e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3256e14 ) @ V3242l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.84 <=> ? [V3257l_27: $i] :
% 5.55/5.84 ( ( mem @ V3257l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V3258e1: $i] :
% 5.55/5.84 ( ( mem @ V3258e1 @ A_27a )
% 5.55/5.84 & ? [V3259e2: $i] :
% 5.55/5.84 ( ( mem @ V3259e2 @ A_27a )
% 5.55/5.84 & ? [V3260e3: $i] :
% 5.55/5.84 ( ( mem @ V3260e3 @ A_27a )
% 5.55/5.84 & ? [V3261e4: $i] :
% 5.55/5.84 ( ( mem @ V3261e4 @ A_27a )
% 5.55/5.84 & ? [V3262e5: $i] :
% 5.55/5.84 ( ( mem @ V3262e5 @ A_27a )
% 5.55/5.84 & ? [V3263e6: $i] :
% 5.55/5.84 ( ( mem @ V3263e6 @ A_27a )
% 5.55/5.84 & ? [V3264e7: $i] :
% 5.55/5.84 ( ( mem @ V3264e7 @ A_27a )
% 5.55/5.84 & ? [V3265e8: $i] :
% 5.55/5.84 ( ( mem @ V3265e8 @ A_27a )
% 5.55/5.84 & ? [V3266e9: $i] :
% 5.55/5.84 ( ( mem @ V3266e9 @ A_27a )
% 5.55/5.84 & ? [V3267e10: $i] :
% 5.55/5.84 ( ( mem @ V3267e10 @ A_27a )
% 5.55/5.84 & ? [V3268e11: $i] :
% 5.55/5.84 ( ( mem @ V3268e11 @ A_27a )
% 5.55/5.84 & ? [V3269e12: $i] :
% 5.55/5.84 ( ( mem @ V3269e12 @ A_27a )
% 5.55/5.84 & ? [V3270e13: $i] :
% 5.55/5.84 ( ( mem @ V3270e13 @ A_27a )
% 5.55/5.84 & ? [V3271e14: $i] :
% 5.55/5.84 ( ( mem @ V3271e14 @ A_27a )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3258e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3259e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3260e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3261e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3262e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3263e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3264e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3265e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3266e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3267e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3268e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3269e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3270e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3271e14 ) @ V3257l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.84 <=> ? [V3272l_27: $i] :
% 5.55/5.84 ( ( mem @ V3272l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V3273e1: $i] :
% 5.55/5.84 ( ( mem @ V3273e1 @ A_27a )
% 5.55/5.84 & ? [V3274e2: $i] :
% 5.55/5.84 ( ( mem @ V3274e2 @ A_27a )
% 5.55/5.84 & ? [V3275e3: $i] :
% 5.55/5.84 ( ( mem @ V3275e3 @ A_27a )
% 5.55/5.84 & ? [V3276e4: $i] :
% 5.55/5.84 ( ( mem @ V3276e4 @ A_27a )
% 5.55/5.84 & ? [V3277e5: $i] :
% 5.55/5.84 ( ( mem @ V3277e5 @ A_27a )
% 5.55/5.84 & ? [V3278e6: $i] :
% 5.55/5.84 ( ( mem @ V3278e6 @ A_27a )
% 5.55/5.84 & ? [V3279e7: $i] :
% 5.55/5.84 ( ( mem @ V3279e7 @ A_27a )
% 5.55/5.84 & ? [V3280e8: $i] :
% 5.55/5.84 ( ( mem @ V3280e8 @ A_27a )
% 5.55/5.84 & ? [V3281e9: $i] :
% 5.55/5.84 ( ( mem @ V3281e9 @ A_27a )
% 5.55/5.84 & ? [V3282e10: $i] :
% 5.55/5.84 ( ( mem @ V3282e10 @ A_27a )
% 5.55/5.84 & ? [V3283e11: $i] :
% 5.55/5.84 ( ( mem @ V3283e11 @ A_27a )
% 5.55/5.84 & ? [V3284e12: $i] :
% 5.55/5.84 ( ( mem @ V3284e12 @ A_27a )
% 5.55/5.84 & ? [V3285e13: $i] :
% 5.55/5.84 ( ( mem @ V3285e13 @ A_27a )
% 5.55/5.84 & ? [V3286e14: $i] :
% 5.55/5.84 ( ( mem @ V3286e14 @ A_27a )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3273e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3274e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3275e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3276e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3277e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3278e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3279e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3280e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3281e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3282e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3283e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3284e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3285e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3286e14 ) @ V3272l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.84 <=> ? [V3287l_27: $i] :
% 5.55/5.84 ( ( mem @ V3287l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V3288e1: $i] :
% 5.55/5.84 ( ( mem @ V3288e1 @ A_27a )
% 5.55/5.84 & ? [V3289e2: $i] :
% 5.55/5.84 ( ( mem @ V3289e2 @ A_27a )
% 5.55/5.84 & ? [V3290e3: $i] :
% 5.55/5.84 ( ( mem @ V3290e3 @ A_27a )
% 5.55/5.84 & ? [V3291e4: $i] :
% 5.55/5.84 ( ( mem @ V3291e4 @ A_27a )
% 5.55/5.84 & ? [V3292e5: $i] :
% 5.55/5.84 ( ( mem @ V3292e5 @ A_27a )
% 5.55/5.84 & ? [V3293e6: $i] :
% 5.55/5.84 ( ( mem @ V3293e6 @ A_27a )
% 5.55/5.84 & ? [V3294e7: $i] :
% 5.55/5.84 ( ( mem @ V3294e7 @ A_27a )
% 5.55/5.84 & ? [V3295e8: $i] :
% 5.55/5.84 ( ( mem @ V3295e8 @ A_27a )
% 5.55/5.84 & ? [V3296e9: $i] :
% 5.55/5.84 ( ( mem @ V3296e9 @ A_27a )
% 5.55/5.84 & ? [V3297e10: $i] :
% 5.55/5.84 ( ( mem @ V3297e10 @ A_27a )
% 5.55/5.84 & ? [V3298e11: $i] :
% 5.55/5.84 ( ( mem @ V3298e11 @ A_27a )
% 5.55/5.84 & ? [V3299e12: $i] :
% 5.55/5.84 ( ( mem @ V3299e12 @ A_27a )
% 5.55/5.84 & ? [V3300e13: $i] :
% 5.55/5.84 ( ( mem @ V3300e13 @ A_27a )
% 5.55/5.84 & ? [V3301e14: $i] :
% 5.55/5.84 ( ( mem @ V3301e14 @ A_27a )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3288e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3289e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3290e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3291e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3292e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3293e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3294e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3295e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3296e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3297e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3298e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3299e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3300e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3301e14 ) @ V3287l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.84 <=> ? [V3302l_27: $i] :
% 5.55/5.84 ( ( mem @ V3302l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V3303e1: $i] :
% 5.55/5.84 ( ( mem @ V3303e1 @ A_27a )
% 5.55/5.84 & ? [V3304e2: $i] :
% 5.55/5.84 ( ( mem @ V3304e2 @ A_27a )
% 5.55/5.84 & ? [V3305e3: $i] :
% 5.55/5.84 ( ( mem @ V3305e3 @ A_27a )
% 5.55/5.84 & ? [V3306e4: $i] :
% 5.55/5.84 ( ( mem @ V3306e4 @ A_27a )
% 5.55/5.84 & ? [V3307e5: $i] :
% 5.55/5.84 ( ( mem @ V3307e5 @ A_27a )
% 5.55/5.84 & ? [V3308e6: $i] :
% 5.55/5.84 ( ( mem @ V3308e6 @ A_27a )
% 5.55/5.84 & ? [V3309e7: $i] :
% 5.55/5.84 ( ( mem @ V3309e7 @ A_27a )
% 5.55/5.84 & ? [V3310e8: $i] :
% 5.55/5.84 ( ( mem @ V3310e8 @ A_27a )
% 5.55/5.84 & ? [V3311e9: $i] :
% 5.55/5.84 ( ( mem @ V3311e9 @ A_27a )
% 5.55/5.84 & ? [V3312e10: $i] :
% 5.55/5.84 ( ( mem @ V3312e10 @ A_27a )
% 5.55/5.84 & ? [V3313e11: $i] :
% 5.55/5.84 ( ( mem @ V3313e11 @ A_27a )
% 5.55/5.84 & ? [V3314e12: $i] :
% 5.55/5.84 ( ( mem @ V3314e12 @ A_27a )
% 5.55/5.84 & ? [V3315e13: $i] :
% 5.55/5.84 ( ( mem @ V3315e13 @ A_27a )
% 5.55/5.84 & ? [V3316e14: $i] :
% 5.55/5.84 ( ( mem @ V3316e14 @ A_27a )
% 5.55/5.84 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V3302l_27 ) ) )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3303e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3304e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3305e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3306e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3307e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3308e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3309e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3310e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3311e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3312e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3313e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3314e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3315e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3316e14 ) @ V3302l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.84 <=> ? [V3317l_27: $i] :
% 5.55/5.84 ( ( mem @ V3317l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V3318e1: $i] :
% 5.55/5.84 ( ( mem @ V3318e1 @ A_27a )
% 5.55/5.84 & ? [V3319e2: $i] :
% 5.55/5.84 ( ( mem @ V3319e2 @ A_27a )
% 5.55/5.84 & ? [V3320e3: $i] :
% 5.55/5.84 ( ( mem @ V3320e3 @ A_27a )
% 5.55/5.84 & ? [V3321e4: $i] :
% 5.55/5.84 ( ( mem @ V3321e4 @ A_27a )
% 5.55/5.84 & ? [V3322e5: $i] :
% 5.55/5.84 ( ( mem @ V3322e5 @ A_27a )
% 5.55/5.84 & ? [V3323e6: $i] :
% 5.55/5.84 ( ( mem @ V3323e6 @ A_27a )
% 5.55/5.84 & ? [V3324e7: $i] :
% 5.55/5.84 ( ( mem @ V3324e7 @ A_27a )
% 5.55/5.84 & ? [V3325e8: $i] :
% 5.55/5.84 ( ( mem @ V3325e8 @ A_27a )
% 5.55/5.84 & ? [V3326e9: $i] :
% 5.55/5.84 ( ( mem @ V3326e9 @ A_27a )
% 5.55/5.84 & ? [V3327e10: $i] :
% 5.55/5.84 ( ( mem @ V3327e10 @ A_27a )
% 5.55/5.84 & ? [V3328e11: $i] :
% 5.55/5.84 ( ( mem @ V3328e11 @ A_27a )
% 5.55/5.84 & ? [V3329e12: $i] :
% 5.55/5.84 ( ( mem @ V3329e12 @ A_27a )
% 5.55/5.84 & ? [V3330e13: $i] :
% 5.55/5.84 ( ( mem @ V3330e13 @ A_27a )
% 5.55/5.84 & ? [V3331e14: $i] :
% 5.55/5.84 ( ( mem @ V3331e14 @ A_27a )
% 5.55/5.84 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V3317l_27 ) ) )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3318e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3319e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3320e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3321e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3322e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3323e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3324e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3325e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3326e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3327e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3328e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3329e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3330e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3331e14 ) @ V3317l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.84 <=> ? [V3332l_27: $i] :
% 5.55/5.84 ( ( mem @ V3332l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V3333e1: $i] :
% 5.55/5.84 ( ( mem @ V3333e1 @ A_27a )
% 5.55/5.84 & ? [V3334e2: $i] :
% 5.55/5.84 ( ( mem @ V3334e2 @ A_27a )
% 5.55/5.84 & ? [V3335e3: $i] :
% 5.55/5.84 ( ( mem @ V3335e3 @ A_27a )
% 5.55/5.84 & ? [V3336e4: $i] :
% 5.55/5.84 ( ( mem @ V3336e4 @ A_27a )
% 5.55/5.84 & ? [V3337e5: $i] :
% 5.55/5.84 ( ( mem @ V3337e5 @ A_27a )
% 5.55/5.84 & ? [V3338e6: $i] :
% 5.55/5.84 ( ( mem @ V3338e6 @ A_27a )
% 5.55/5.84 & ? [V3339e7: $i] :
% 5.55/5.84 ( ( mem @ V3339e7 @ A_27a )
% 5.55/5.84 & ? [V3340e8: $i] :
% 5.55/5.84 ( ( mem @ V3340e8 @ A_27a )
% 5.55/5.84 & ? [V3341e9: $i] :
% 5.55/5.84 ( ( mem @ V3341e9 @ A_27a )
% 5.55/5.84 & ? [V3342e10: $i] :
% 5.55/5.84 ( ( mem @ V3342e10 @ A_27a )
% 5.55/5.84 & ? [V3343e11: $i] :
% 5.55/5.84 ( ( mem @ V3343e11 @ A_27a )
% 5.55/5.84 & ? [V3344e12: $i] :
% 5.55/5.84 ( ( mem @ V3344e12 @ A_27a )
% 5.55/5.84 & ? [V3345e13: $i] :
% 5.55/5.84 ( ( mem @ V3345e13 @ A_27a )
% 5.55/5.84 & ? [V3346e14: $i] :
% 5.55/5.84 ( ( mem @ V3346e14 @ A_27a )
% 5.55/5.84 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V3332l_27 ) ) )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3333e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3334e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3335e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3336e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3337e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3338e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3339e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3340e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3341e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3342e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3343e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3344e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3345e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3346e14 ) @ V3332l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.84 <=> ? [V3347l_27: $i] :
% 5.55/5.84 ( ( mem @ V3347l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V3348e1: $i] :
% 5.55/5.84 ( ( mem @ V3348e1 @ A_27a )
% 5.55/5.84 & ? [V3349e2: $i] :
% 5.55/5.84 ( ( mem @ V3349e2 @ A_27a )
% 5.55/5.84 & ? [V3350e3: $i] :
% 5.55/5.84 ( ( mem @ V3350e3 @ A_27a )
% 5.55/5.84 & ? [V3351e4: $i] :
% 5.55/5.84 ( ( mem @ V3351e4 @ A_27a )
% 5.55/5.84 & ? [V3352e5: $i] :
% 5.55/5.84 ( ( mem @ V3352e5 @ A_27a )
% 5.55/5.84 & ? [V3353e6: $i] :
% 5.55/5.84 ( ( mem @ V3353e6 @ A_27a )
% 5.55/5.84 & ? [V3354e7: $i] :
% 5.55/5.84 ( ( mem @ V3354e7 @ A_27a )
% 5.55/5.84 & ? [V3355e8: $i] :
% 5.55/5.84 ( ( mem @ V3355e8 @ A_27a )
% 5.55/5.84 & ? [V3356e9: $i] :
% 5.55/5.84 ( ( mem @ V3356e9 @ A_27a )
% 5.55/5.84 & ? [V3357e10: $i] :
% 5.55/5.84 ( ( mem @ V3357e10 @ A_27a )
% 5.55/5.84 & ? [V3358e11: $i] :
% 5.55/5.84 ( ( mem @ V3358e11 @ A_27a )
% 5.55/5.84 & ? [V3359e12: $i] :
% 5.55/5.84 ( ( mem @ V3359e12 @ A_27a )
% 5.55/5.84 & ? [V3360e13: $i] :
% 5.55/5.84 ( ( mem @ V3360e13 @ A_27a )
% 5.55/5.84 & ? [V3361e14: $i] :
% 5.55/5.84 ( ( mem @ V3361e14 @ A_27a )
% 5.55/5.84 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V3347l_27 ) ) )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3348e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3349e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3350e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3351e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3352e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3353e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3354e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3355e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3356e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3357e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3358e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3359e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3360e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3361e14 ) @ V3347l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.84 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.84 <=> ? [V3362l_27: $i] :
% 5.55/5.84 ( ( mem @ V3362l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V3363e1: $i] :
% 5.55/5.84 ( ( mem @ V3363e1 @ A_27a )
% 5.55/5.84 & ? [V3364e2: $i] :
% 5.55/5.84 ( ( mem @ V3364e2 @ A_27a )
% 5.55/5.84 & ? [V3365e3: $i] :
% 5.55/5.84 ( ( mem @ V3365e3 @ A_27a )
% 5.55/5.84 & ? [V3366e4: $i] :
% 5.55/5.84 ( ( mem @ V3366e4 @ A_27a )
% 5.55/5.84 & ? [V3367e5: $i] :
% 5.55/5.84 ( ( mem @ V3367e5 @ A_27a )
% 5.55/5.84 & ? [V3368e6: $i] :
% 5.55/5.84 ( ( mem @ V3368e6 @ A_27a )
% 5.55/5.84 & ? [V3369e7: $i] :
% 5.55/5.84 ( ( mem @ V3369e7 @ A_27a )
% 5.55/5.84 & ? [V3370e8: $i] :
% 5.55/5.84 ( ( mem @ V3370e8 @ A_27a )
% 5.55/5.84 & ? [V3371e9: $i] :
% 5.55/5.84 ( ( mem @ V3371e9 @ A_27a )
% 5.55/5.84 & ? [V3372e10: $i] :
% 5.55/5.84 ( ( mem @ V3372e10 @ A_27a )
% 5.55/5.84 & ? [V3373e11: $i] :
% 5.55/5.84 ( ( mem @ V3373e11 @ A_27a )
% 5.55/5.84 & ? [V3374e12: $i] :
% 5.55/5.84 ( ( mem @ V3374e12 @ A_27a )
% 5.55/5.84 & ? [V3375e13: $i] :
% 5.55/5.84 ( ( mem @ V3375e13 @ A_27a )
% 5.55/5.84 & ? [V3376e14: $i] :
% 5.55/5.84 ( ( mem @ V3376e14 @ A_27a )
% 5.55/5.84 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V3362l_27 ) )
% 5.55/5.84 = V1x )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3363e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3364e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3365e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3366e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3367e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3368e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3369e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3370e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3371e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3372e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3373e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3374e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3375e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3376e14 ) @ V3362l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.55/5.84 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.84 <=> ? [V3377l_27: $i] :
% 5.55/5.84 ( ( mem @ V3377l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V3378e1: $i] :
% 5.55/5.84 ( ( mem @ V3378e1 @ A_27a )
% 5.55/5.84 & ? [V3379e2: $i] :
% 5.55/5.84 ( ( mem @ V3379e2 @ A_27a )
% 5.55/5.84 & ? [V3380e3: $i] :
% 5.55/5.84 ( ( mem @ V3380e3 @ A_27a )
% 5.55/5.84 & ? [V3381e4: $i] :
% 5.55/5.84 ( ( mem @ V3381e4 @ A_27a )
% 5.55/5.84 & ? [V3382e5: $i] :
% 5.55/5.84 ( ( mem @ V3382e5 @ A_27a )
% 5.55/5.84 & ? [V3383e6: $i] :
% 5.55/5.84 ( ( mem @ V3383e6 @ A_27a )
% 5.55/5.84 & ? [V3384e7: $i] :
% 5.55/5.84 ( ( mem @ V3384e7 @ A_27a )
% 5.55/5.84 & ? [V3385e8: $i] :
% 5.55/5.84 ( ( mem @ V3385e8 @ A_27a )
% 5.55/5.84 & ? [V3386e9: $i] :
% 5.55/5.84 ( ( mem @ V3386e9 @ A_27a )
% 5.55/5.84 & ? [V3387e10: $i] :
% 5.55/5.84 ( ( mem @ V3387e10 @ A_27a )
% 5.55/5.84 & ? [V3388e11: $i] :
% 5.55/5.84 ( ( mem @ V3388e11 @ A_27a )
% 5.55/5.84 & ? [V3389e12: $i] :
% 5.55/5.84 ( ( mem @ V3389e12 @ A_27a )
% 5.55/5.84 & ? [V3390e13: $i] :
% 5.55/5.84 ( ( mem @ V3390e13 @ A_27a )
% 5.55/5.84 & ? [V3391e14: $i] :
% 5.55/5.84 ( ( mem @ V3391e14 @ A_27a )
% 5.55/5.84 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V3377l_27 ) )
% 5.55/5.84 = V1x )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3378e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3379e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3380e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3381e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3382e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3383e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3384e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3385e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3386e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3387e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3388e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3389e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3390e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3391e14 ) @ V3377l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.84 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.84 <=> ? [V3392l_27: $i] :
% 5.55/5.84 ( ( mem @ V3392l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V3393e1: $i] :
% 5.55/5.84 ( ( mem @ V3393e1 @ A_27a )
% 5.55/5.84 & ? [V3394e2: $i] :
% 5.55/5.84 ( ( mem @ V3394e2 @ A_27a )
% 5.55/5.84 & ? [V3395e3: $i] :
% 5.55/5.84 ( ( mem @ V3395e3 @ A_27a )
% 5.55/5.84 & ? [V3396e4: $i] :
% 5.55/5.84 ( ( mem @ V3396e4 @ A_27a )
% 5.55/5.84 & ? [V3397e5: $i] :
% 5.55/5.84 ( ( mem @ V3397e5 @ A_27a )
% 5.55/5.84 & ? [V3398e6: $i] :
% 5.55/5.84 ( ( mem @ V3398e6 @ A_27a )
% 5.55/5.84 & ? [V3399e7: $i] :
% 5.55/5.84 ( ( mem @ V3399e7 @ A_27a )
% 5.55/5.84 & ? [V3400e8: $i] :
% 5.55/5.84 ( ( mem @ V3400e8 @ A_27a )
% 5.55/5.84 & ? [V3401e9: $i] :
% 5.55/5.84 ( ( mem @ V3401e9 @ A_27a )
% 5.55/5.84 & ? [V3402e10: $i] :
% 5.55/5.84 ( ( mem @ V3402e10 @ A_27a )
% 5.55/5.84 & ? [V3403e11: $i] :
% 5.55/5.84 ( ( mem @ V3403e11 @ A_27a )
% 5.55/5.84 & ? [V3404e12: $i] :
% 5.55/5.84 ( ( mem @ V3404e12 @ A_27a )
% 5.55/5.84 & ? [V3405e13: $i] :
% 5.55/5.84 ( ( mem @ V3405e13 @ A_27a )
% 5.55/5.84 & ? [V3406e14: $i] :
% 5.55/5.84 ( ( mem @ V3406e14 @ A_27a )
% 5.55/5.84 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V3392l_27 ) )
% 5.55/5.84 = V1x )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3393e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3394e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3395e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3396e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3397e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3398e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3399e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3400e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3401e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3402e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3403e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3404e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3405e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3406e14 ) @ V3392l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.84 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.84 <=> ? [V3407l_27: $i] :
% 5.55/5.84 ( ( mem @ V3407l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V3408e1: $i] :
% 5.55/5.84 ( ( mem @ V3408e1 @ A_27a )
% 5.55/5.84 & ? [V3409e2: $i] :
% 5.55/5.84 ( ( mem @ V3409e2 @ A_27a )
% 5.55/5.84 & ? [V3410e3: $i] :
% 5.55/5.84 ( ( mem @ V3410e3 @ A_27a )
% 5.55/5.84 & ? [V3411e4: $i] :
% 5.55/5.84 ( ( mem @ V3411e4 @ A_27a )
% 5.55/5.84 & ? [V3412e5: $i] :
% 5.55/5.84 ( ( mem @ V3412e5 @ A_27a )
% 5.55/5.84 & ? [V3413e6: $i] :
% 5.55/5.84 ( ( mem @ V3413e6 @ A_27a )
% 5.55/5.84 & ? [V3414e7: $i] :
% 5.55/5.84 ( ( mem @ V3414e7 @ A_27a )
% 5.55/5.84 & ? [V3415e8: $i] :
% 5.55/5.84 ( ( mem @ V3415e8 @ A_27a )
% 5.55/5.84 & ? [V3416e9: $i] :
% 5.55/5.84 ( ( mem @ V3416e9 @ A_27a )
% 5.55/5.84 & ? [V3417e10: $i] :
% 5.55/5.84 ( ( mem @ V3417e10 @ A_27a )
% 5.55/5.84 & ? [V3418e11: $i] :
% 5.55/5.84 ( ( mem @ V3418e11 @ A_27a )
% 5.55/5.84 & ? [V3419e12: $i] :
% 5.55/5.84 ( ( mem @ V3419e12 @ A_27a )
% 5.55/5.84 & ? [V3420e13: $i] :
% 5.55/5.84 ( ( mem @ V3420e13 @ A_27a )
% 5.55/5.84 & ? [V3421e14: $i] :
% 5.55/5.84 ( ( mem @ V3421e14 @ A_27a )
% 5.55/5.84 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V3407l_27 ) )
% 5.55/5.84 = V1x )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3408e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3409e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3410e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3411e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3412e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3413e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3414e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3415e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3416e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3417e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3418e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3419e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3420e13 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3421e14 ) @ V3407l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.84 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.84 <=> ? [V3422e1: $i] :
% 5.55/5.84 ( ( mem @ V3422e1 @ A_27a )
% 5.55/5.84 & ? [V3423e2: $i] :
% 5.55/5.84 ( ( mem @ V3423e2 @ A_27a )
% 5.55/5.84 & ? [V3424e3: $i] :
% 5.55/5.84 ( ( mem @ V3424e3 @ A_27a )
% 5.55/5.84 & ? [V3425e4: $i] :
% 5.55/5.84 ( ( mem @ V3425e4 @ A_27a )
% 5.55/5.84 & ? [V3426e5: $i] :
% 5.55/5.84 ( ( mem @ V3426e5 @ A_27a )
% 5.55/5.84 & ? [V3427e6: $i] :
% 5.55/5.84 ( ( mem @ V3427e6 @ A_27a )
% 5.55/5.84 & ? [V3428e7: $i] :
% 5.55/5.84 ( ( mem @ V3428e7 @ A_27a )
% 5.55/5.84 & ? [V3429e8: $i] :
% 5.55/5.84 ( ( mem @ V3429e8 @ A_27a )
% 5.55/5.84 & ? [V3430e9: $i] :
% 5.55/5.84 ( ( mem @ V3430e9 @ A_27a )
% 5.55/5.84 & ? [V3431e10: $i] :
% 5.55/5.84 ( ( mem @ V3431e10 @ A_27a )
% 5.55/5.84 & ? [V3432e11: $i] :
% 5.55/5.84 ( ( mem @ V3432e11 @ A_27a )
% 5.55/5.84 & ? [V3433e12: $i] :
% 5.55/5.84 ( ( mem @ V3433e12 @ A_27a )
% 5.55/5.84 & ? [V3434e13: $i] :
% 5.55/5.84 ( ( mem @ V3434e13 @ A_27a )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3422e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3423e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3424e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3425e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3426e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3427e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3428e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3429e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3430e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3431e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3432e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3433e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3434e13 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.84 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.84 <=> ? [V3435e1: $i] :
% 5.55/5.84 ( ( mem @ V3435e1 @ A_27a )
% 5.55/5.84 & ? [V3436e2: $i] :
% 5.55/5.84 ( ( mem @ V3436e2 @ A_27a )
% 5.55/5.84 & ? [V3437e3: $i] :
% 5.55/5.84 ( ( mem @ V3437e3 @ A_27a )
% 5.55/5.84 & ? [V3438e4: $i] :
% 5.55/5.84 ( ( mem @ V3438e4 @ A_27a )
% 5.55/5.84 & ? [V3439e5: $i] :
% 5.55/5.84 ( ( mem @ V3439e5 @ A_27a )
% 5.55/5.84 & ? [V3440e6: $i] :
% 5.55/5.84 ( ( mem @ V3440e6 @ A_27a )
% 5.55/5.84 & ? [V3441e7: $i] :
% 5.55/5.84 ( ( mem @ V3441e7 @ A_27a )
% 5.55/5.84 & ? [V3442e8: $i] :
% 5.55/5.84 ( ( mem @ V3442e8 @ A_27a )
% 5.55/5.84 & ? [V3443e9: $i] :
% 5.55/5.84 ( ( mem @ V3443e9 @ A_27a )
% 5.55/5.84 & ? [V3444e10: $i] :
% 5.55/5.84 ( ( mem @ V3444e10 @ A_27a )
% 5.55/5.84 & ? [V3445e11: $i] :
% 5.55/5.84 ( ( mem @ V3445e11 @ A_27a )
% 5.55/5.84 & ? [V3446e12: $i] :
% 5.55/5.84 ( ( mem @ V3446e12 @ A_27a )
% 5.55/5.84 & ? [V3447e13: $i] :
% 5.55/5.84 ( ( mem @ V3447e13 @ A_27a )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3435e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3436e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3437e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3438e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3439e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3440e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3441e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3442e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3443e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3444e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3445e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3446e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3447e13 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.84 <=> ? [V3448l_27: $i] :
% 5.55/5.84 ( ( mem @ V3448l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V3449e1: $i] :
% 5.55/5.84 ( ( mem @ V3449e1 @ A_27a )
% 5.55/5.84 & ? [V3450e2: $i] :
% 5.55/5.84 ( ( mem @ V3450e2 @ A_27a )
% 5.55/5.84 & ? [V3451e3: $i] :
% 5.55/5.84 ( ( mem @ V3451e3 @ A_27a )
% 5.55/5.84 & ? [V3452e4: $i] :
% 5.55/5.84 ( ( mem @ V3452e4 @ A_27a )
% 5.55/5.84 & ? [V3453e5: $i] :
% 5.55/5.84 ( ( mem @ V3453e5 @ A_27a )
% 5.55/5.84 & ? [V3454e6: $i] :
% 5.55/5.84 ( ( mem @ V3454e6 @ A_27a )
% 5.55/5.84 & ? [V3455e7: $i] :
% 5.55/5.84 ( ( mem @ V3455e7 @ A_27a )
% 5.55/5.84 & ? [V3456e8: $i] :
% 5.55/5.84 ( ( mem @ V3456e8 @ A_27a )
% 5.55/5.84 & ? [V3457e9: $i] :
% 5.55/5.84 ( ( mem @ V3457e9 @ A_27a )
% 5.55/5.84 & ? [V3458e10: $i] :
% 5.55/5.84 ( ( mem @ V3458e10 @ A_27a )
% 5.55/5.84 & ? [V3459e11: $i] :
% 5.55/5.84 ( ( mem @ V3459e11 @ A_27a )
% 5.55/5.84 & ? [V3460e12: $i] :
% 5.55/5.84 ( ( mem @ V3460e12 @ A_27a )
% 5.55/5.84 & ? [V3461e13: $i] :
% 5.55/5.84 ( ( mem @ V3461e13 @ A_27a )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3449e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3450e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3451e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3452e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3453e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3454e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3455e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3456e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3457e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3458e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3459e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3460e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3461e13 ) @ V3448l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.84 <=> ? [V3462l_27: $i] :
% 5.55/5.84 ( ( mem @ V3462l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V3463e1: $i] :
% 5.55/5.84 ( ( mem @ V3463e1 @ A_27a )
% 5.55/5.84 & ? [V3464e2: $i] :
% 5.55/5.84 ( ( mem @ V3464e2 @ A_27a )
% 5.55/5.84 & ? [V3465e3: $i] :
% 5.55/5.84 ( ( mem @ V3465e3 @ A_27a )
% 5.55/5.84 & ? [V3466e4: $i] :
% 5.55/5.84 ( ( mem @ V3466e4 @ A_27a )
% 5.55/5.84 & ? [V3467e5: $i] :
% 5.55/5.84 ( ( mem @ V3467e5 @ A_27a )
% 5.55/5.84 & ? [V3468e6: $i] :
% 5.55/5.84 ( ( mem @ V3468e6 @ A_27a )
% 5.55/5.84 & ? [V3469e7: $i] :
% 5.55/5.84 ( ( mem @ V3469e7 @ A_27a )
% 5.55/5.84 & ? [V3470e8: $i] :
% 5.55/5.84 ( ( mem @ V3470e8 @ A_27a )
% 5.55/5.84 & ? [V3471e9: $i] :
% 5.55/5.84 ( ( mem @ V3471e9 @ A_27a )
% 5.55/5.84 & ? [V3472e10: $i] :
% 5.55/5.84 ( ( mem @ V3472e10 @ A_27a )
% 5.55/5.84 & ? [V3473e11: $i] :
% 5.55/5.84 ( ( mem @ V3473e11 @ A_27a )
% 5.55/5.84 & ? [V3474e12: $i] :
% 5.55/5.84 ( ( mem @ V3474e12 @ A_27a )
% 5.55/5.84 & ? [V3475e13: $i] :
% 5.55/5.84 ( ( mem @ V3475e13 @ A_27a )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3463e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3464e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3465e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3466e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3467e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3468e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3469e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3470e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3471e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3472e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3473e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3474e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3475e13 ) @ V3462l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.84 <=> ? [V3476l_27: $i] :
% 5.55/5.84 ( ( mem @ V3476l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V3477e1: $i] :
% 5.55/5.84 ( ( mem @ V3477e1 @ A_27a )
% 5.55/5.84 & ? [V3478e2: $i] :
% 5.55/5.84 ( ( mem @ V3478e2 @ A_27a )
% 5.55/5.84 & ? [V3479e3: $i] :
% 5.55/5.84 ( ( mem @ V3479e3 @ A_27a )
% 5.55/5.84 & ? [V3480e4: $i] :
% 5.55/5.84 ( ( mem @ V3480e4 @ A_27a )
% 5.55/5.84 & ? [V3481e5: $i] :
% 5.55/5.84 ( ( mem @ V3481e5 @ A_27a )
% 5.55/5.84 & ? [V3482e6: $i] :
% 5.55/5.84 ( ( mem @ V3482e6 @ A_27a )
% 5.55/5.84 & ? [V3483e7: $i] :
% 5.55/5.84 ( ( mem @ V3483e7 @ A_27a )
% 5.55/5.84 & ? [V3484e8: $i] :
% 5.55/5.84 ( ( mem @ V3484e8 @ A_27a )
% 5.55/5.84 & ? [V3485e9: $i] :
% 5.55/5.84 ( ( mem @ V3485e9 @ A_27a )
% 5.55/5.84 & ? [V3486e10: $i] :
% 5.55/5.84 ( ( mem @ V3486e10 @ A_27a )
% 5.55/5.84 & ? [V3487e11: $i] :
% 5.55/5.84 ( ( mem @ V3487e11 @ A_27a )
% 5.55/5.84 & ? [V3488e12: $i] :
% 5.55/5.84 ( ( mem @ V3488e12 @ A_27a )
% 5.55/5.84 & ? [V3489e13: $i] :
% 5.55/5.84 ( ( mem @ V3489e13 @ A_27a )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3477e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3478e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3479e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3480e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3481e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3482e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3483e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3484e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3485e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3486e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3487e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3488e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3489e13 ) @ V3476l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.84 <=> ? [V3490l_27: $i] :
% 5.55/5.84 ( ( mem @ V3490l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V3491e1: $i] :
% 5.55/5.84 ( ( mem @ V3491e1 @ A_27a )
% 5.55/5.84 & ? [V3492e2: $i] :
% 5.55/5.84 ( ( mem @ V3492e2 @ A_27a )
% 5.55/5.84 & ? [V3493e3: $i] :
% 5.55/5.84 ( ( mem @ V3493e3 @ A_27a )
% 5.55/5.84 & ? [V3494e4: $i] :
% 5.55/5.84 ( ( mem @ V3494e4 @ A_27a )
% 5.55/5.84 & ? [V3495e5: $i] :
% 5.55/5.84 ( ( mem @ V3495e5 @ A_27a )
% 5.55/5.84 & ? [V3496e6: $i] :
% 5.55/5.84 ( ( mem @ V3496e6 @ A_27a )
% 5.55/5.84 & ? [V3497e7: $i] :
% 5.55/5.84 ( ( mem @ V3497e7 @ A_27a )
% 5.55/5.84 & ? [V3498e8: $i] :
% 5.55/5.84 ( ( mem @ V3498e8 @ A_27a )
% 5.55/5.84 & ? [V3499e9: $i] :
% 5.55/5.84 ( ( mem @ V3499e9 @ A_27a )
% 5.55/5.84 & ? [V3500e10: $i] :
% 5.55/5.84 ( ( mem @ V3500e10 @ A_27a )
% 5.55/5.84 & ? [V3501e11: $i] :
% 5.55/5.84 ( ( mem @ V3501e11 @ A_27a )
% 5.55/5.84 & ? [V3502e12: $i] :
% 5.55/5.84 ( ( mem @ V3502e12 @ A_27a )
% 5.55/5.84 & ? [V3503e13: $i] :
% 5.55/5.84 ( ( mem @ V3503e13 @ A_27a )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3491e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3492e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3493e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3494e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3495e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3496e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3497e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3498e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3499e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3500e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3501e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3502e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3503e13 ) @ V3490l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.84 <=> ? [V3504l_27: $i] :
% 5.55/5.84 ( ( mem @ V3504l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V3505e1: $i] :
% 5.55/5.84 ( ( mem @ V3505e1 @ A_27a )
% 5.55/5.84 & ? [V3506e2: $i] :
% 5.55/5.84 ( ( mem @ V3506e2 @ A_27a )
% 5.55/5.84 & ? [V3507e3: $i] :
% 5.55/5.84 ( ( mem @ V3507e3 @ A_27a )
% 5.55/5.84 & ? [V3508e4: $i] :
% 5.55/5.84 ( ( mem @ V3508e4 @ A_27a )
% 5.55/5.84 & ? [V3509e5: $i] :
% 5.55/5.84 ( ( mem @ V3509e5 @ A_27a )
% 5.55/5.84 & ? [V3510e6: $i] :
% 5.55/5.84 ( ( mem @ V3510e6 @ A_27a )
% 5.55/5.84 & ? [V3511e7: $i] :
% 5.55/5.84 ( ( mem @ V3511e7 @ A_27a )
% 5.55/5.84 & ? [V3512e8: $i] :
% 5.55/5.84 ( ( mem @ V3512e8 @ A_27a )
% 5.55/5.84 & ? [V3513e9: $i] :
% 5.55/5.84 ( ( mem @ V3513e9 @ A_27a )
% 5.55/5.84 & ? [V3514e10: $i] :
% 5.55/5.84 ( ( mem @ V3514e10 @ A_27a )
% 5.55/5.84 & ? [V3515e11: $i] :
% 5.55/5.84 ( ( mem @ V3515e11 @ A_27a )
% 5.55/5.84 & ? [V3516e12: $i] :
% 5.55/5.84 ( ( mem @ V3516e12 @ A_27a )
% 5.55/5.84 & ? [V3517e13: $i] :
% 5.55/5.84 ( ( mem @ V3517e13 @ A_27a )
% 5.55/5.84 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V3504l_27 ) ) )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3505e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3506e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3507e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3508e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3509e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3510e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3511e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3512e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3513e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3514e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3515e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3516e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3517e13 ) @ V3504l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.84 <=> ? [V3518l_27: $i] :
% 5.55/5.84 ( ( mem @ V3518l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V3519e1: $i] :
% 5.55/5.84 ( ( mem @ V3519e1 @ A_27a )
% 5.55/5.84 & ? [V3520e2: $i] :
% 5.55/5.84 ( ( mem @ V3520e2 @ A_27a )
% 5.55/5.84 & ? [V3521e3: $i] :
% 5.55/5.84 ( ( mem @ V3521e3 @ A_27a )
% 5.55/5.84 & ? [V3522e4: $i] :
% 5.55/5.84 ( ( mem @ V3522e4 @ A_27a )
% 5.55/5.84 & ? [V3523e5: $i] :
% 5.55/5.84 ( ( mem @ V3523e5 @ A_27a )
% 5.55/5.84 & ? [V3524e6: $i] :
% 5.55/5.84 ( ( mem @ V3524e6 @ A_27a )
% 5.55/5.84 & ? [V3525e7: $i] :
% 5.55/5.84 ( ( mem @ V3525e7 @ A_27a )
% 5.55/5.84 & ? [V3526e8: $i] :
% 5.55/5.84 ( ( mem @ V3526e8 @ A_27a )
% 5.55/5.84 & ? [V3527e9: $i] :
% 5.55/5.84 ( ( mem @ V3527e9 @ A_27a )
% 5.55/5.84 & ? [V3528e10: $i] :
% 5.55/5.84 ( ( mem @ V3528e10 @ A_27a )
% 5.55/5.84 & ? [V3529e11: $i] :
% 5.55/5.84 ( ( mem @ V3529e11 @ A_27a )
% 5.55/5.84 & ? [V3530e12: $i] :
% 5.55/5.84 ( ( mem @ V3530e12 @ A_27a )
% 5.55/5.84 & ? [V3531e13: $i] :
% 5.55/5.84 ( ( mem @ V3531e13 @ A_27a )
% 5.55/5.84 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V3518l_27 ) ) )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3519e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3520e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3521e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3522e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3523e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3524e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3525e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3526e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3527e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3528e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3529e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3530e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3531e13 ) @ V3518l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.84 <=> ? [V3532l_27: $i] :
% 5.55/5.84 ( ( mem @ V3532l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V3533e1: $i] :
% 5.55/5.84 ( ( mem @ V3533e1 @ A_27a )
% 5.55/5.84 & ? [V3534e2: $i] :
% 5.55/5.84 ( ( mem @ V3534e2 @ A_27a )
% 5.55/5.84 & ? [V3535e3: $i] :
% 5.55/5.84 ( ( mem @ V3535e3 @ A_27a )
% 5.55/5.84 & ? [V3536e4: $i] :
% 5.55/5.84 ( ( mem @ V3536e4 @ A_27a )
% 5.55/5.84 & ? [V3537e5: $i] :
% 5.55/5.84 ( ( mem @ V3537e5 @ A_27a )
% 5.55/5.84 & ? [V3538e6: $i] :
% 5.55/5.84 ( ( mem @ V3538e6 @ A_27a )
% 5.55/5.84 & ? [V3539e7: $i] :
% 5.55/5.84 ( ( mem @ V3539e7 @ A_27a )
% 5.55/5.84 & ? [V3540e8: $i] :
% 5.55/5.84 ( ( mem @ V3540e8 @ A_27a )
% 5.55/5.84 & ? [V3541e9: $i] :
% 5.55/5.84 ( ( mem @ V3541e9 @ A_27a )
% 5.55/5.84 & ? [V3542e10: $i] :
% 5.55/5.84 ( ( mem @ V3542e10 @ A_27a )
% 5.55/5.84 & ? [V3543e11: $i] :
% 5.55/5.84 ( ( mem @ V3543e11 @ A_27a )
% 5.55/5.84 & ? [V3544e12: $i] :
% 5.55/5.84 ( ( mem @ V3544e12 @ A_27a )
% 5.55/5.84 & ? [V3545e13: $i] :
% 5.55/5.84 ( ( mem @ V3545e13 @ A_27a )
% 5.55/5.84 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V3532l_27 ) ) )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3533e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3534e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3535e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3536e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3537e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3538e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3539e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3540e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3541e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3542e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3543e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3544e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3545e13 ) @ V3532l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.84 <=> ? [V3546l_27: $i] :
% 5.55/5.84 ( ( mem @ V3546l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V3547e1: $i] :
% 5.55/5.84 ( ( mem @ V3547e1 @ A_27a )
% 5.55/5.84 & ? [V3548e2: $i] :
% 5.55/5.84 ( ( mem @ V3548e2 @ A_27a )
% 5.55/5.84 & ? [V3549e3: $i] :
% 5.55/5.84 ( ( mem @ V3549e3 @ A_27a )
% 5.55/5.84 & ? [V3550e4: $i] :
% 5.55/5.84 ( ( mem @ V3550e4 @ A_27a )
% 5.55/5.84 & ? [V3551e5: $i] :
% 5.55/5.84 ( ( mem @ V3551e5 @ A_27a )
% 5.55/5.84 & ? [V3552e6: $i] :
% 5.55/5.84 ( ( mem @ V3552e6 @ A_27a )
% 5.55/5.84 & ? [V3553e7: $i] :
% 5.55/5.84 ( ( mem @ V3553e7 @ A_27a )
% 5.55/5.84 & ? [V3554e8: $i] :
% 5.55/5.84 ( ( mem @ V3554e8 @ A_27a )
% 5.55/5.84 & ? [V3555e9: $i] :
% 5.55/5.84 ( ( mem @ V3555e9 @ A_27a )
% 5.55/5.84 & ? [V3556e10: $i] :
% 5.55/5.84 ( ( mem @ V3556e10 @ A_27a )
% 5.55/5.84 & ? [V3557e11: $i] :
% 5.55/5.84 ( ( mem @ V3557e11 @ A_27a )
% 5.55/5.84 & ? [V3558e12: $i] :
% 5.55/5.84 ( ( mem @ V3558e12 @ A_27a )
% 5.55/5.84 & ? [V3559e13: $i] :
% 5.55/5.84 ( ( mem @ V3559e13 @ A_27a )
% 5.55/5.84 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V3546l_27 ) ) )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3547e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3548e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3549e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3550e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3551e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3552e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3553e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3554e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3555e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3556e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3557e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3558e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3559e13 ) @ V3546l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.84 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.84 <=> ? [V3560l_27: $i] :
% 5.55/5.84 ( ( mem @ V3560l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V3561e1: $i] :
% 5.55/5.84 ( ( mem @ V3561e1 @ A_27a )
% 5.55/5.84 & ? [V3562e2: $i] :
% 5.55/5.84 ( ( mem @ V3562e2 @ A_27a )
% 5.55/5.84 & ? [V3563e3: $i] :
% 5.55/5.84 ( ( mem @ V3563e3 @ A_27a )
% 5.55/5.84 & ? [V3564e4: $i] :
% 5.55/5.84 ( ( mem @ V3564e4 @ A_27a )
% 5.55/5.84 & ? [V3565e5: $i] :
% 5.55/5.84 ( ( mem @ V3565e5 @ A_27a )
% 5.55/5.84 & ? [V3566e6: $i] :
% 5.55/5.84 ( ( mem @ V3566e6 @ A_27a )
% 5.55/5.84 & ? [V3567e7: $i] :
% 5.55/5.84 ( ( mem @ V3567e7 @ A_27a )
% 5.55/5.84 & ? [V3568e8: $i] :
% 5.55/5.84 ( ( mem @ V3568e8 @ A_27a )
% 5.55/5.84 & ? [V3569e9: $i] :
% 5.55/5.84 ( ( mem @ V3569e9 @ A_27a )
% 5.55/5.84 & ? [V3570e10: $i] :
% 5.55/5.84 ( ( mem @ V3570e10 @ A_27a )
% 5.55/5.84 & ? [V3571e11: $i] :
% 5.55/5.84 ( ( mem @ V3571e11 @ A_27a )
% 5.55/5.84 & ? [V3572e12: $i] :
% 5.55/5.84 ( ( mem @ V3572e12 @ A_27a )
% 5.55/5.84 & ? [V3573e13: $i] :
% 5.55/5.84 ( ( mem @ V3573e13 @ A_27a )
% 5.55/5.84 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V3560l_27 ) )
% 5.55/5.84 = V1x )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3561e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3562e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3563e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3564e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3565e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3566e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3567e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3568e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3569e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3570e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3571e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3572e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3573e13 ) @ V3560l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.55/5.84 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.84 <=> ? [V3574l_27: $i] :
% 5.55/5.84 ( ( mem @ V3574l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V3575e1: $i] :
% 5.55/5.84 ( ( mem @ V3575e1 @ A_27a )
% 5.55/5.84 & ? [V3576e2: $i] :
% 5.55/5.84 ( ( mem @ V3576e2 @ A_27a )
% 5.55/5.84 & ? [V3577e3: $i] :
% 5.55/5.84 ( ( mem @ V3577e3 @ A_27a )
% 5.55/5.84 & ? [V3578e4: $i] :
% 5.55/5.84 ( ( mem @ V3578e4 @ A_27a )
% 5.55/5.84 & ? [V3579e5: $i] :
% 5.55/5.84 ( ( mem @ V3579e5 @ A_27a )
% 5.55/5.84 & ? [V3580e6: $i] :
% 5.55/5.84 ( ( mem @ V3580e6 @ A_27a )
% 5.55/5.84 & ? [V3581e7: $i] :
% 5.55/5.84 ( ( mem @ V3581e7 @ A_27a )
% 5.55/5.84 & ? [V3582e8: $i] :
% 5.55/5.84 ( ( mem @ V3582e8 @ A_27a )
% 5.55/5.84 & ? [V3583e9: $i] :
% 5.55/5.84 ( ( mem @ V3583e9 @ A_27a )
% 5.55/5.84 & ? [V3584e10: $i] :
% 5.55/5.84 ( ( mem @ V3584e10 @ A_27a )
% 5.55/5.84 & ? [V3585e11: $i] :
% 5.55/5.84 ( ( mem @ V3585e11 @ A_27a )
% 5.55/5.84 & ? [V3586e12: $i] :
% 5.55/5.84 ( ( mem @ V3586e12 @ A_27a )
% 5.55/5.84 & ? [V3587e13: $i] :
% 5.55/5.84 ( ( mem @ V3587e13 @ A_27a )
% 5.55/5.84 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V3574l_27 ) )
% 5.55/5.84 = V1x )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3575e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3576e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3577e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3578e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3579e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3580e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3581e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3582e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3583e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3584e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3585e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3586e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3587e13 ) @ V3574l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.84 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.84 <=> ? [V3588l_27: $i] :
% 5.55/5.84 ( ( mem @ V3588l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V3589e1: $i] :
% 5.55/5.84 ( ( mem @ V3589e1 @ A_27a )
% 5.55/5.84 & ? [V3590e2: $i] :
% 5.55/5.84 ( ( mem @ V3590e2 @ A_27a )
% 5.55/5.84 & ? [V3591e3: $i] :
% 5.55/5.84 ( ( mem @ V3591e3 @ A_27a )
% 5.55/5.84 & ? [V3592e4: $i] :
% 5.55/5.84 ( ( mem @ V3592e4 @ A_27a )
% 5.55/5.84 & ? [V3593e5: $i] :
% 5.55/5.84 ( ( mem @ V3593e5 @ A_27a )
% 5.55/5.84 & ? [V3594e6: $i] :
% 5.55/5.84 ( ( mem @ V3594e6 @ A_27a )
% 5.55/5.84 & ? [V3595e7: $i] :
% 5.55/5.84 ( ( mem @ V3595e7 @ A_27a )
% 5.55/5.84 & ? [V3596e8: $i] :
% 5.55/5.84 ( ( mem @ V3596e8 @ A_27a )
% 5.55/5.84 & ? [V3597e9: $i] :
% 5.55/5.84 ( ( mem @ V3597e9 @ A_27a )
% 5.55/5.84 & ? [V3598e10: $i] :
% 5.55/5.84 ( ( mem @ V3598e10 @ A_27a )
% 5.55/5.84 & ? [V3599e11: $i] :
% 5.55/5.84 ( ( mem @ V3599e11 @ A_27a )
% 5.55/5.84 & ? [V3600e12: $i] :
% 5.55/5.84 ( ( mem @ V3600e12 @ A_27a )
% 5.55/5.84 & ? [V3601e13: $i] :
% 5.55/5.84 ( ( mem @ V3601e13 @ A_27a )
% 5.55/5.84 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V3588l_27 ) )
% 5.55/5.84 = V1x )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3589e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3590e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3591e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3592e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3593e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3594e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3595e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3596e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3597e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3598e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3599e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3600e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3601e13 ) @ V3588l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.84 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.84 <=> ? [V3602l_27: $i] :
% 5.55/5.84 ( ( mem @ V3602l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V3603e1: $i] :
% 5.55/5.84 ( ( mem @ V3603e1 @ A_27a )
% 5.55/5.84 & ? [V3604e2: $i] :
% 5.55/5.84 ( ( mem @ V3604e2 @ A_27a )
% 5.55/5.84 & ? [V3605e3: $i] :
% 5.55/5.84 ( ( mem @ V3605e3 @ A_27a )
% 5.55/5.84 & ? [V3606e4: $i] :
% 5.55/5.84 ( ( mem @ V3606e4 @ A_27a )
% 5.55/5.84 & ? [V3607e5: $i] :
% 5.55/5.84 ( ( mem @ V3607e5 @ A_27a )
% 5.55/5.84 & ? [V3608e6: $i] :
% 5.55/5.84 ( ( mem @ V3608e6 @ A_27a )
% 5.55/5.84 & ? [V3609e7: $i] :
% 5.55/5.84 ( ( mem @ V3609e7 @ A_27a )
% 5.55/5.84 & ? [V3610e8: $i] :
% 5.55/5.84 ( ( mem @ V3610e8 @ A_27a )
% 5.55/5.84 & ? [V3611e9: $i] :
% 5.55/5.84 ( ( mem @ V3611e9 @ A_27a )
% 5.55/5.84 & ? [V3612e10: $i] :
% 5.55/5.84 ( ( mem @ V3612e10 @ A_27a )
% 5.55/5.84 & ? [V3613e11: $i] :
% 5.55/5.84 ( ( mem @ V3613e11 @ A_27a )
% 5.55/5.84 & ? [V3614e12: $i] :
% 5.55/5.84 ( ( mem @ V3614e12 @ A_27a )
% 5.55/5.84 & ? [V3615e13: $i] :
% 5.55/5.84 ( ( mem @ V3615e13 @ A_27a )
% 5.55/5.84 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V3602l_27 ) )
% 5.55/5.84 = V1x )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3603e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3604e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3605e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3606e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3607e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3608e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3609e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3610e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3611e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3612e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3613e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3614e12 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3615e13 ) @ V3602l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.84 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.84 <=> ? [V3616e1: $i] :
% 5.55/5.84 ( ( mem @ V3616e1 @ A_27a )
% 5.55/5.84 & ? [V3617e2: $i] :
% 5.55/5.84 ( ( mem @ V3617e2 @ A_27a )
% 5.55/5.84 & ? [V3618e3: $i] :
% 5.55/5.84 ( ( mem @ V3618e3 @ A_27a )
% 5.55/5.84 & ? [V3619e4: $i] :
% 5.55/5.84 ( ( mem @ V3619e4 @ A_27a )
% 5.55/5.84 & ? [V3620e5: $i] :
% 5.55/5.84 ( ( mem @ V3620e5 @ A_27a )
% 5.55/5.84 & ? [V3621e6: $i] :
% 5.55/5.84 ( ( mem @ V3621e6 @ A_27a )
% 5.55/5.84 & ? [V3622e7: $i] :
% 5.55/5.84 ( ( mem @ V3622e7 @ A_27a )
% 5.55/5.84 & ? [V3623e8: $i] :
% 5.55/5.84 ( ( mem @ V3623e8 @ A_27a )
% 5.55/5.84 & ? [V3624e9: $i] :
% 5.55/5.84 ( ( mem @ V3624e9 @ A_27a )
% 5.55/5.84 & ? [V3625e10: $i] :
% 5.55/5.84 ( ( mem @ V3625e10 @ A_27a )
% 5.55/5.84 & ? [V3626e11: $i] :
% 5.55/5.84 ( ( mem @ V3626e11 @ A_27a )
% 5.55/5.84 & ? [V3627e12: $i] :
% 5.55/5.84 ( ( mem @ V3627e12 @ A_27a )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3616e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3617e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3618e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3619e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3620e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3621e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3622e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3623e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3624e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3625e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3626e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3627e12 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.84 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.84 <=> ? [V3628e1: $i] :
% 5.55/5.84 ( ( mem @ V3628e1 @ A_27a )
% 5.55/5.84 & ? [V3629e2: $i] :
% 5.55/5.84 ( ( mem @ V3629e2 @ A_27a )
% 5.55/5.84 & ? [V3630e3: $i] :
% 5.55/5.84 ( ( mem @ V3630e3 @ A_27a )
% 5.55/5.84 & ? [V3631e4: $i] :
% 5.55/5.84 ( ( mem @ V3631e4 @ A_27a )
% 5.55/5.84 & ? [V3632e5: $i] :
% 5.55/5.84 ( ( mem @ V3632e5 @ A_27a )
% 5.55/5.84 & ? [V3633e6: $i] :
% 5.55/5.84 ( ( mem @ V3633e6 @ A_27a )
% 5.55/5.84 & ? [V3634e7: $i] :
% 5.55/5.84 ( ( mem @ V3634e7 @ A_27a )
% 5.55/5.84 & ? [V3635e8: $i] :
% 5.55/5.84 ( ( mem @ V3635e8 @ A_27a )
% 5.55/5.84 & ? [V3636e9: $i] :
% 5.55/5.84 ( ( mem @ V3636e9 @ A_27a )
% 5.55/5.84 & ? [V3637e10: $i] :
% 5.55/5.84 ( ( mem @ V3637e10 @ A_27a )
% 5.55/5.84 & ? [V3638e11: $i] :
% 5.55/5.84 ( ( mem @ V3638e11 @ A_27a )
% 5.55/5.84 & ? [V3639e12: $i] :
% 5.55/5.84 ( ( mem @ V3639e12 @ A_27a )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3628e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3629e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3630e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3631e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3632e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3633e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3634e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3635e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3636e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3637e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3638e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3639e12 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.84 <=> ? [V3640l_27: $i] :
% 5.55/5.84 ( ( mem @ V3640l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V3641e1: $i] :
% 5.55/5.84 ( ( mem @ V3641e1 @ A_27a )
% 5.55/5.84 & ? [V3642e2: $i] :
% 5.55/5.84 ( ( mem @ V3642e2 @ A_27a )
% 5.55/5.84 & ? [V3643e3: $i] :
% 5.55/5.84 ( ( mem @ V3643e3 @ A_27a )
% 5.55/5.84 & ? [V3644e4: $i] :
% 5.55/5.84 ( ( mem @ V3644e4 @ A_27a )
% 5.55/5.84 & ? [V3645e5: $i] :
% 5.55/5.84 ( ( mem @ V3645e5 @ A_27a )
% 5.55/5.84 & ? [V3646e6: $i] :
% 5.55/5.84 ( ( mem @ V3646e6 @ A_27a )
% 5.55/5.84 & ? [V3647e7: $i] :
% 5.55/5.84 ( ( mem @ V3647e7 @ A_27a )
% 5.55/5.84 & ? [V3648e8: $i] :
% 5.55/5.84 ( ( mem @ V3648e8 @ A_27a )
% 5.55/5.84 & ? [V3649e9: $i] :
% 5.55/5.84 ( ( mem @ V3649e9 @ A_27a )
% 5.55/5.84 & ? [V3650e10: $i] :
% 5.55/5.84 ( ( mem @ V3650e10 @ A_27a )
% 5.55/5.84 & ? [V3651e11: $i] :
% 5.55/5.84 ( ( mem @ V3651e11 @ A_27a )
% 5.55/5.84 & ? [V3652e12: $i] :
% 5.55/5.84 ( ( mem @ V3652e12 @ A_27a )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3641e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3642e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3643e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3644e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3645e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3646e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3647e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3648e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3649e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3650e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3651e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3652e12 ) @ V3640l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.84 <=> ? [V3653l_27: $i] :
% 5.55/5.84 ( ( mem @ V3653l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V3654e1: $i] :
% 5.55/5.84 ( ( mem @ V3654e1 @ A_27a )
% 5.55/5.84 & ? [V3655e2: $i] :
% 5.55/5.84 ( ( mem @ V3655e2 @ A_27a )
% 5.55/5.84 & ? [V3656e3: $i] :
% 5.55/5.84 ( ( mem @ V3656e3 @ A_27a )
% 5.55/5.84 & ? [V3657e4: $i] :
% 5.55/5.84 ( ( mem @ V3657e4 @ A_27a )
% 5.55/5.84 & ? [V3658e5: $i] :
% 5.55/5.84 ( ( mem @ V3658e5 @ A_27a )
% 5.55/5.84 & ? [V3659e6: $i] :
% 5.55/5.84 ( ( mem @ V3659e6 @ A_27a )
% 5.55/5.84 & ? [V3660e7: $i] :
% 5.55/5.84 ( ( mem @ V3660e7 @ A_27a )
% 5.55/5.84 & ? [V3661e8: $i] :
% 5.55/5.84 ( ( mem @ V3661e8 @ A_27a )
% 5.55/5.84 & ? [V3662e9: $i] :
% 5.55/5.84 ( ( mem @ V3662e9 @ A_27a )
% 5.55/5.84 & ? [V3663e10: $i] :
% 5.55/5.84 ( ( mem @ V3663e10 @ A_27a )
% 5.55/5.84 & ? [V3664e11: $i] :
% 5.55/5.84 ( ( mem @ V3664e11 @ A_27a )
% 5.55/5.84 & ? [V3665e12: $i] :
% 5.55/5.84 ( ( mem @ V3665e12 @ A_27a )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3654e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3655e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3656e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3657e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3658e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3659e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3660e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3661e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3662e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3663e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3664e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3665e12 ) @ V3653l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.84 <=> ? [V3666l_27: $i] :
% 5.55/5.84 ( ( mem @ V3666l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V3667e1: $i] :
% 5.55/5.84 ( ( mem @ V3667e1 @ A_27a )
% 5.55/5.84 & ? [V3668e2: $i] :
% 5.55/5.84 ( ( mem @ V3668e2 @ A_27a )
% 5.55/5.84 & ? [V3669e3: $i] :
% 5.55/5.84 ( ( mem @ V3669e3 @ A_27a )
% 5.55/5.84 & ? [V3670e4: $i] :
% 5.55/5.84 ( ( mem @ V3670e4 @ A_27a )
% 5.55/5.84 & ? [V3671e5: $i] :
% 5.55/5.84 ( ( mem @ V3671e5 @ A_27a )
% 5.55/5.84 & ? [V3672e6: $i] :
% 5.55/5.84 ( ( mem @ V3672e6 @ A_27a )
% 5.55/5.84 & ? [V3673e7: $i] :
% 5.55/5.84 ( ( mem @ V3673e7 @ A_27a )
% 5.55/5.84 & ? [V3674e8: $i] :
% 5.55/5.84 ( ( mem @ V3674e8 @ A_27a )
% 5.55/5.84 & ? [V3675e9: $i] :
% 5.55/5.84 ( ( mem @ V3675e9 @ A_27a )
% 5.55/5.84 & ? [V3676e10: $i] :
% 5.55/5.84 ( ( mem @ V3676e10 @ A_27a )
% 5.55/5.84 & ? [V3677e11: $i] :
% 5.55/5.84 ( ( mem @ V3677e11 @ A_27a )
% 5.55/5.84 & ? [V3678e12: $i] :
% 5.55/5.84 ( ( mem @ V3678e12 @ A_27a )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3667e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3668e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3669e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3670e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3671e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3672e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3673e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3674e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3675e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3676e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3677e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3678e12 ) @ V3666l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.84 <=> ? [V3679l_27: $i] :
% 5.55/5.84 ( ( mem @ V3679l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V3680e1: $i] :
% 5.55/5.84 ( ( mem @ V3680e1 @ A_27a )
% 5.55/5.84 & ? [V3681e2: $i] :
% 5.55/5.84 ( ( mem @ V3681e2 @ A_27a )
% 5.55/5.84 & ? [V3682e3: $i] :
% 5.55/5.84 ( ( mem @ V3682e3 @ A_27a )
% 5.55/5.84 & ? [V3683e4: $i] :
% 5.55/5.84 ( ( mem @ V3683e4 @ A_27a )
% 5.55/5.84 & ? [V3684e5: $i] :
% 5.55/5.84 ( ( mem @ V3684e5 @ A_27a )
% 5.55/5.84 & ? [V3685e6: $i] :
% 5.55/5.84 ( ( mem @ V3685e6 @ A_27a )
% 5.55/5.84 & ? [V3686e7: $i] :
% 5.55/5.84 ( ( mem @ V3686e7 @ A_27a )
% 5.55/5.84 & ? [V3687e8: $i] :
% 5.55/5.84 ( ( mem @ V3687e8 @ A_27a )
% 5.55/5.84 & ? [V3688e9: $i] :
% 5.55/5.84 ( ( mem @ V3688e9 @ A_27a )
% 5.55/5.84 & ? [V3689e10: $i] :
% 5.55/5.84 ( ( mem @ V3689e10 @ A_27a )
% 5.55/5.84 & ? [V3690e11: $i] :
% 5.55/5.84 ( ( mem @ V3690e11 @ A_27a )
% 5.55/5.84 & ? [V3691e12: $i] :
% 5.55/5.84 ( ( mem @ V3691e12 @ A_27a )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3680e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3681e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3682e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3683e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3684e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3685e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3686e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3687e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3688e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3689e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3690e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3691e12 ) @ V3679l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.84 <=> ? [V3692l_27: $i] :
% 5.55/5.84 ( ( mem @ V3692l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V3693e1: $i] :
% 5.55/5.84 ( ( mem @ V3693e1 @ A_27a )
% 5.55/5.84 & ? [V3694e2: $i] :
% 5.55/5.84 ( ( mem @ V3694e2 @ A_27a )
% 5.55/5.84 & ? [V3695e3: $i] :
% 5.55/5.84 ( ( mem @ V3695e3 @ A_27a )
% 5.55/5.84 & ? [V3696e4: $i] :
% 5.55/5.84 ( ( mem @ V3696e4 @ A_27a )
% 5.55/5.84 & ? [V3697e5: $i] :
% 5.55/5.84 ( ( mem @ V3697e5 @ A_27a )
% 5.55/5.84 & ? [V3698e6: $i] :
% 5.55/5.84 ( ( mem @ V3698e6 @ A_27a )
% 5.55/5.84 & ? [V3699e7: $i] :
% 5.55/5.84 ( ( mem @ V3699e7 @ A_27a )
% 5.55/5.84 & ? [V3700e8: $i] :
% 5.55/5.84 ( ( mem @ V3700e8 @ A_27a )
% 5.55/5.84 & ? [V3701e9: $i] :
% 5.55/5.84 ( ( mem @ V3701e9 @ A_27a )
% 5.55/5.84 & ? [V3702e10: $i] :
% 5.55/5.84 ( ( mem @ V3702e10 @ A_27a )
% 5.55/5.84 & ? [V3703e11: $i] :
% 5.55/5.84 ( ( mem @ V3703e11 @ A_27a )
% 5.55/5.84 & ? [V3704e12: $i] :
% 5.55/5.84 ( ( mem @ V3704e12 @ A_27a )
% 5.55/5.84 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V3692l_27 ) ) )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3693e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3694e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3695e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3696e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3697e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3698e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3699e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3700e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3701e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3702e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3703e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3704e12 ) @ V3692l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.84 <=> ? [V3705l_27: $i] :
% 5.55/5.84 ( ( mem @ V3705l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V3706e1: $i] :
% 5.55/5.84 ( ( mem @ V3706e1 @ A_27a )
% 5.55/5.84 & ? [V3707e2: $i] :
% 5.55/5.84 ( ( mem @ V3707e2 @ A_27a )
% 5.55/5.84 & ? [V3708e3: $i] :
% 5.55/5.84 ( ( mem @ V3708e3 @ A_27a )
% 5.55/5.84 & ? [V3709e4: $i] :
% 5.55/5.84 ( ( mem @ V3709e4 @ A_27a )
% 5.55/5.84 & ? [V3710e5: $i] :
% 5.55/5.84 ( ( mem @ V3710e5 @ A_27a )
% 5.55/5.84 & ? [V3711e6: $i] :
% 5.55/5.84 ( ( mem @ V3711e6 @ A_27a )
% 5.55/5.84 & ? [V3712e7: $i] :
% 5.55/5.84 ( ( mem @ V3712e7 @ A_27a )
% 5.55/5.84 & ? [V3713e8: $i] :
% 5.55/5.84 ( ( mem @ V3713e8 @ A_27a )
% 5.55/5.84 & ? [V3714e9: $i] :
% 5.55/5.84 ( ( mem @ V3714e9 @ A_27a )
% 5.55/5.84 & ? [V3715e10: $i] :
% 5.55/5.84 ( ( mem @ V3715e10 @ A_27a )
% 5.55/5.84 & ? [V3716e11: $i] :
% 5.55/5.84 ( ( mem @ V3716e11 @ A_27a )
% 5.55/5.84 & ? [V3717e12: $i] :
% 5.55/5.84 ( ( mem @ V3717e12 @ A_27a )
% 5.55/5.84 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V3705l_27 ) ) )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3706e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3707e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3708e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3709e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3710e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3711e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3712e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3713e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3714e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3715e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3716e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3717e12 ) @ V3705l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.84 <=> ? [V3718l_27: $i] :
% 5.55/5.84 ( ( mem @ V3718l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V3719e1: $i] :
% 5.55/5.84 ( ( mem @ V3719e1 @ A_27a )
% 5.55/5.84 & ? [V3720e2: $i] :
% 5.55/5.84 ( ( mem @ V3720e2 @ A_27a )
% 5.55/5.84 & ? [V3721e3: $i] :
% 5.55/5.84 ( ( mem @ V3721e3 @ A_27a )
% 5.55/5.84 & ? [V3722e4: $i] :
% 5.55/5.84 ( ( mem @ V3722e4 @ A_27a )
% 5.55/5.84 & ? [V3723e5: $i] :
% 5.55/5.84 ( ( mem @ V3723e5 @ A_27a )
% 5.55/5.84 & ? [V3724e6: $i] :
% 5.55/5.84 ( ( mem @ V3724e6 @ A_27a )
% 5.55/5.84 & ? [V3725e7: $i] :
% 5.55/5.84 ( ( mem @ V3725e7 @ A_27a )
% 5.55/5.84 & ? [V3726e8: $i] :
% 5.55/5.84 ( ( mem @ V3726e8 @ A_27a )
% 5.55/5.84 & ? [V3727e9: $i] :
% 5.55/5.84 ( ( mem @ V3727e9 @ A_27a )
% 5.55/5.84 & ? [V3728e10: $i] :
% 5.55/5.84 ( ( mem @ V3728e10 @ A_27a )
% 5.55/5.84 & ? [V3729e11: $i] :
% 5.55/5.84 ( ( mem @ V3729e11 @ A_27a )
% 5.55/5.84 & ? [V3730e12: $i] :
% 5.55/5.84 ( ( mem @ V3730e12 @ A_27a )
% 5.55/5.84 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V3718l_27 ) ) )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3719e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3720e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3721e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3722e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3723e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3724e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3725e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3726e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3727e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3728e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3729e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3730e12 ) @ V3718l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.84 <=> ? [V3731l_27: $i] :
% 5.55/5.84 ( ( mem @ V3731l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V3732e1: $i] :
% 5.55/5.84 ( ( mem @ V3732e1 @ A_27a )
% 5.55/5.84 & ? [V3733e2: $i] :
% 5.55/5.84 ( ( mem @ V3733e2 @ A_27a )
% 5.55/5.84 & ? [V3734e3: $i] :
% 5.55/5.84 ( ( mem @ V3734e3 @ A_27a )
% 5.55/5.84 & ? [V3735e4: $i] :
% 5.55/5.84 ( ( mem @ V3735e4 @ A_27a )
% 5.55/5.84 & ? [V3736e5: $i] :
% 5.55/5.84 ( ( mem @ V3736e5 @ A_27a )
% 5.55/5.84 & ? [V3737e6: $i] :
% 5.55/5.84 ( ( mem @ V3737e6 @ A_27a )
% 5.55/5.84 & ? [V3738e7: $i] :
% 5.55/5.84 ( ( mem @ V3738e7 @ A_27a )
% 5.55/5.84 & ? [V3739e8: $i] :
% 5.55/5.84 ( ( mem @ V3739e8 @ A_27a )
% 5.55/5.84 & ? [V3740e9: $i] :
% 5.55/5.84 ( ( mem @ V3740e9 @ A_27a )
% 5.55/5.84 & ? [V3741e10: $i] :
% 5.55/5.84 ( ( mem @ V3741e10 @ A_27a )
% 5.55/5.84 & ? [V3742e11: $i] :
% 5.55/5.84 ( ( mem @ V3742e11 @ A_27a )
% 5.55/5.84 & ? [V3743e12: $i] :
% 5.55/5.84 ( ( mem @ V3743e12 @ A_27a )
% 5.55/5.84 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V3731l_27 ) ) )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3732e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3733e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3734e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3735e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3736e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3737e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3738e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3739e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3740e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3741e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3742e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3743e12 ) @ V3731l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.84 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.84 <=> ? [V3744l_27: $i] :
% 5.55/5.84 ( ( mem @ V3744l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V3745e1: $i] :
% 5.55/5.84 ( ( mem @ V3745e1 @ A_27a )
% 5.55/5.84 & ? [V3746e2: $i] :
% 5.55/5.84 ( ( mem @ V3746e2 @ A_27a )
% 5.55/5.84 & ? [V3747e3: $i] :
% 5.55/5.84 ( ( mem @ V3747e3 @ A_27a )
% 5.55/5.84 & ? [V3748e4: $i] :
% 5.55/5.84 ( ( mem @ V3748e4 @ A_27a )
% 5.55/5.84 & ? [V3749e5: $i] :
% 5.55/5.84 ( ( mem @ V3749e5 @ A_27a )
% 5.55/5.84 & ? [V3750e6: $i] :
% 5.55/5.84 ( ( mem @ V3750e6 @ A_27a )
% 5.55/5.84 & ? [V3751e7: $i] :
% 5.55/5.84 ( ( mem @ V3751e7 @ A_27a )
% 5.55/5.84 & ? [V3752e8: $i] :
% 5.55/5.84 ( ( mem @ V3752e8 @ A_27a )
% 5.55/5.84 & ? [V3753e9: $i] :
% 5.55/5.84 ( ( mem @ V3753e9 @ A_27a )
% 5.55/5.84 & ? [V3754e10: $i] :
% 5.55/5.84 ( ( mem @ V3754e10 @ A_27a )
% 5.55/5.84 & ? [V3755e11: $i] :
% 5.55/5.84 ( ( mem @ V3755e11 @ A_27a )
% 5.55/5.84 & ? [V3756e12: $i] :
% 5.55/5.84 ( ( mem @ V3756e12 @ A_27a )
% 5.55/5.84 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V3744l_27 ) )
% 5.55/5.84 = V1x )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3745e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3746e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3747e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3748e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3749e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3750e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3751e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3752e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3753e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3754e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3755e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3756e12 ) @ V3744l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.55/5.84 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.84 <=> ? [V3757l_27: $i] :
% 5.55/5.84 ( ( mem @ V3757l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V3758e1: $i] :
% 5.55/5.84 ( ( mem @ V3758e1 @ A_27a )
% 5.55/5.84 & ? [V3759e2: $i] :
% 5.55/5.84 ( ( mem @ V3759e2 @ A_27a )
% 5.55/5.84 & ? [V3760e3: $i] :
% 5.55/5.84 ( ( mem @ V3760e3 @ A_27a )
% 5.55/5.84 & ? [V3761e4: $i] :
% 5.55/5.84 ( ( mem @ V3761e4 @ A_27a )
% 5.55/5.84 & ? [V3762e5: $i] :
% 5.55/5.84 ( ( mem @ V3762e5 @ A_27a )
% 5.55/5.84 & ? [V3763e6: $i] :
% 5.55/5.84 ( ( mem @ V3763e6 @ A_27a )
% 5.55/5.84 & ? [V3764e7: $i] :
% 5.55/5.84 ( ( mem @ V3764e7 @ A_27a )
% 5.55/5.84 & ? [V3765e8: $i] :
% 5.55/5.84 ( ( mem @ V3765e8 @ A_27a )
% 5.55/5.84 & ? [V3766e9: $i] :
% 5.55/5.84 ( ( mem @ V3766e9 @ A_27a )
% 5.55/5.84 & ? [V3767e10: $i] :
% 5.55/5.84 ( ( mem @ V3767e10 @ A_27a )
% 5.55/5.84 & ? [V3768e11: $i] :
% 5.55/5.84 ( ( mem @ V3768e11 @ A_27a )
% 5.55/5.84 & ? [V3769e12: $i] :
% 5.55/5.84 ( ( mem @ V3769e12 @ A_27a )
% 5.55/5.84 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V3757l_27 ) )
% 5.55/5.84 = V1x )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3758e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3759e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3760e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3761e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3762e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3763e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3764e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3765e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3766e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3767e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3768e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3769e12 ) @ V3757l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.84 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.84 <=> ? [V3770l_27: $i] :
% 5.55/5.84 ( ( mem @ V3770l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V3771e1: $i] :
% 5.55/5.84 ( ( mem @ V3771e1 @ A_27a )
% 5.55/5.84 & ? [V3772e2: $i] :
% 5.55/5.84 ( ( mem @ V3772e2 @ A_27a )
% 5.55/5.84 & ? [V3773e3: $i] :
% 5.55/5.84 ( ( mem @ V3773e3 @ A_27a )
% 5.55/5.84 & ? [V3774e4: $i] :
% 5.55/5.84 ( ( mem @ V3774e4 @ A_27a )
% 5.55/5.84 & ? [V3775e5: $i] :
% 5.55/5.84 ( ( mem @ V3775e5 @ A_27a )
% 5.55/5.84 & ? [V3776e6: $i] :
% 5.55/5.84 ( ( mem @ V3776e6 @ A_27a )
% 5.55/5.84 & ? [V3777e7: $i] :
% 5.55/5.84 ( ( mem @ V3777e7 @ A_27a )
% 5.55/5.84 & ? [V3778e8: $i] :
% 5.55/5.84 ( ( mem @ V3778e8 @ A_27a )
% 5.55/5.84 & ? [V3779e9: $i] :
% 5.55/5.84 ( ( mem @ V3779e9 @ A_27a )
% 5.55/5.84 & ? [V3780e10: $i] :
% 5.55/5.84 ( ( mem @ V3780e10 @ A_27a )
% 5.55/5.84 & ? [V3781e11: $i] :
% 5.55/5.84 ( ( mem @ V3781e11 @ A_27a )
% 5.55/5.84 & ? [V3782e12: $i] :
% 5.55/5.84 ( ( mem @ V3782e12 @ A_27a )
% 5.55/5.84 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V3770l_27 ) )
% 5.55/5.84 = V1x )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3771e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3772e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3773e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3774e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3775e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3776e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3777e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3778e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3779e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3780e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3781e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3782e12 ) @ V3770l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.84 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.84 <=> ? [V3783l_27: $i] :
% 5.55/5.84 ( ( mem @ V3783l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V3784e1: $i] :
% 5.55/5.84 ( ( mem @ V3784e1 @ A_27a )
% 5.55/5.84 & ? [V3785e2: $i] :
% 5.55/5.84 ( ( mem @ V3785e2 @ A_27a )
% 5.55/5.84 & ? [V3786e3: $i] :
% 5.55/5.84 ( ( mem @ V3786e3 @ A_27a )
% 5.55/5.84 & ? [V3787e4: $i] :
% 5.55/5.84 ( ( mem @ V3787e4 @ A_27a )
% 5.55/5.84 & ? [V3788e5: $i] :
% 5.55/5.84 ( ( mem @ V3788e5 @ A_27a )
% 5.55/5.84 & ? [V3789e6: $i] :
% 5.55/5.84 ( ( mem @ V3789e6 @ A_27a )
% 5.55/5.84 & ? [V3790e7: $i] :
% 5.55/5.84 ( ( mem @ V3790e7 @ A_27a )
% 5.55/5.84 & ? [V3791e8: $i] :
% 5.55/5.84 ( ( mem @ V3791e8 @ A_27a )
% 5.55/5.84 & ? [V3792e9: $i] :
% 5.55/5.84 ( ( mem @ V3792e9 @ A_27a )
% 5.55/5.84 & ? [V3793e10: $i] :
% 5.55/5.84 ( ( mem @ V3793e10 @ A_27a )
% 5.55/5.84 & ? [V3794e11: $i] :
% 5.55/5.84 ( ( mem @ V3794e11 @ A_27a )
% 5.55/5.84 & ? [V3795e12: $i] :
% 5.55/5.84 ( ( mem @ V3795e12 @ A_27a )
% 5.55/5.84 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V3783l_27 ) )
% 5.55/5.84 = V1x )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3784e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3785e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3786e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3787e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3788e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3789e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3790e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3791e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3792e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3793e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3794e11 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3795e12 ) @ V3783l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.84 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.84 <=> ? [V3796e1: $i] :
% 5.55/5.84 ( ( mem @ V3796e1 @ A_27a )
% 5.55/5.84 & ? [V3797e2: $i] :
% 5.55/5.84 ( ( mem @ V3797e2 @ A_27a )
% 5.55/5.84 & ? [V3798e3: $i] :
% 5.55/5.84 ( ( mem @ V3798e3 @ A_27a )
% 5.55/5.84 & ? [V3799e4: $i] :
% 5.55/5.84 ( ( mem @ V3799e4 @ A_27a )
% 5.55/5.84 & ? [V3800e5: $i] :
% 5.55/5.84 ( ( mem @ V3800e5 @ A_27a )
% 5.55/5.84 & ? [V3801e6: $i] :
% 5.55/5.84 ( ( mem @ V3801e6 @ A_27a )
% 5.55/5.84 & ? [V3802e7: $i] :
% 5.55/5.84 ( ( mem @ V3802e7 @ A_27a )
% 5.55/5.84 & ? [V3803e8: $i] :
% 5.55/5.84 ( ( mem @ V3803e8 @ A_27a )
% 5.55/5.84 & ? [V3804e9: $i] :
% 5.55/5.84 ( ( mem @ V3804e9 @ A_27a )
% 5.55/5.84 & ? [V3805e10: $i] :
% 5.55/5.84 ( ( mem @ V3805e10 @ A_27a )
% 5.55/5.84 & ? [V3806e11: $i] :
% 5.55/5.84 ( ( mem @ V3806e11 @ A_27a )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3796e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3797e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3798e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3799e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3800e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3801e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3802e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3803e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3804e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3805e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3806e11 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.84 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.84 <=> ? [V3807e1: $i] :
% 5.55/5.84 ( ( mem @ V3807e1 @ A_27a )
% 5.55/5.84 & ? [V3808e2: $i] :
% 5.55/5.84 ( ( mem @ V3808e2 @ A_27a )
% 5.55/5.84 & ? [V3809e3: $i] :
% 5.55/5.84 ( ( mem @ V3809e3 @ A_27a )
% 5.55/5.84 & ? [V3810e4: $i] :
% 5.55/5.84 ( ( mem @ V3810e4 @ A_27a )
% 5.55/5.84 & ? [V3811e5: $i] :
% 5.55/5.84 ( ( mem @ V3811e5 @ A_27a )
% 5.55/5.84 & ? [V3812e6: $i] :
% 5.55/5.84 ( ( mem @ V3812e6 @ A_27a )
% 5.55/5.84 & ? [V3813e7: $i] :
% 5.55/5.84 ( ( mem @ V3813e7 @ A_27a )
% 5.55/5.84 & ? [V3814e8: $i] :
% 5.55/5.84 ( ( mem @ V3814e8 @ A_27a )
% 5.55/5.84 & ? [V3815e9: $i] :
% 5.55/5.84 ( ( mem @ V3815e9 @ A_27a )
% 5.55/5.84 & ? [V3816e10: $i] :
% 5.55/5.84 ( ( mem @ V3816e10 @ A_27a )
% 5.55/5.84 & ? [V3817e11: $i] :
% 5.55/5.84 ( ( mem @ V3817e11 @ A_27a )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3807e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3808e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3809e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3810e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3811e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3812e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3813e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3814e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3815e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3816e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3817e11 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.84 <=> ? [V3818l_27: $i] :
% 5.55/5.84 ( ( mem @ V3818l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V3819e1: $i] :
% 5.55/5.84 ( ( mem @ V3819e1 @ A_27a )
% 5.55/5.84 & ? [V3820e2: $i] :
% 5.55/5.84 ( ( mem @ V3820e2 @ A_27a )
% 5.55/5.84 & ? [V3821e3: $i] :
% 5.55/5.84 ( ( mem @ V3821e3 @ A_27a )
% 5.55/5.84 & ? [V3822e4: $i] :
% 5.55/5.84 ( ( mem @ V3822e4 @ A_27a )
% 5.55/5.84 & ? [V3823e5: $i] :
% 5.55/5.84 ( ( mem @ V3823e5 @ A_27a )
% 5.55/5.84 & ? [V3824e6: $i] :
% 5.55/5.84 ( ( mem @ V3824e6 @ A_27a )
% 5.55/5.84 & ? [V3825e7: $i] :
% 5.55/5.84 ( ( mem @ V3825e7 @ A_27a )
% 5.55/5.84 & ? [V3826e8: $i] :
% 5.55/5.84 ( ( mem @ V3826e8 @ A_27a )
% 5.55/5.84 & ? [V3827e9: $i] :
% 5.55/5.84 ( ( mem @ V3827e9 @ A_27a )
% 5.55/5.84 & ? [V3828e10: $i] :
% 5.55/5.84 ( ( mem @ V3828e10 @ A_27a )
% 5.55/5.84 & ? [V3829e11: $i] :
% 5.55/5.84 ( ( mem @ V3829e11 @ A_27a )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3819e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3820e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3821e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3822e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3823e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3824e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3825e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3826e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3827e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3828e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3829e11 ) @ V3818l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.84 <=> ? [V3830l_27: $i] :
% 5.55/5.84 ( ( mem @ V3830l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V3831e1: $i] :
% 5.55/5.84 ( ( mem @ V3831e1 @ A_27a )
% 5.55/5.84 & ? [V3832e2: $i] :
% 5.55/5.84 ( ( mem @ V3832e2 @ A_27a )
% 5.55/5.84 & ? [V3833e3: $i] :
% 5.55/5.84 ( ( mem @ V3833e3 @ A_27a )
% 5.55/5.84 & ? [V3834e4: $i] :
% 5.55/5.84 ( ( mem @ V3834e4 @ A_27a )
% 5.55/5.84 & ? [V3835e5: $i] :
% 5.55/5.84 ( ( mem @ V3835e5 @ A_27a )
% 5.55/5.84 & ? [V3836e6: $i] :
% 5.55/5.84 ( ( mem @ V3836e6 @ A_27a )
% 5.55/5.84 & ? [V3837e7: $i] :
% 5.55/5.84 ( ( mem @ V3837e7 @ A_27a )
% 5.55/5.84 & ? [V3838e8: $i] :
% 5.55/5.84 ( ( mem @ V3838e8 @ A_27a )
% 5.55/5.84 & ? [V3839e9: $i] :
% 5.55/5.84 ( ( mem @ V3839e9 @ A_27a )
% 5.55/5.84 & ? [V3840e10: $i] :
% 5.55/5.84 ( ( mem @ V3840e10 @ A_27a )
% 5.55/5.84 & ? [V3841e11: $i] :
% 5.55/5.84 ( ( mem @ V3841e11 @ A_27a )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3831e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3832e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3833e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3834e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3835e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3836e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3837e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3838e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3839e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3840e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3841e11 ) @ V3830l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.84 <=> ? [V3842l_27: $i] :
% 5.55/5.84 ( ( mem @ V3842l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V3843e1: $i] :
% 5.55/5.84 ( ( mem @ V3843e1 @ A_27a )
% 5.55/5.84 & ? [V3844e2: $i] :
% 5.55/5.84 ( ( mem @ V3844e2 @ A_27a )
% 5.55/5.84 & ? [V3845e3: $i] :
% 5.55/5.84 ( ( mem @ V3845e3 @ A_27a )
% 5.55/5.84 & ? [V3846e4: $i] :
% 5.55/5.84 ( ( mem @ V3846e4 @ A_27a )
% 5.55/5.84 & ? [V3847e5: $i] :
% 5.55/5.84 ( ( mem @ V3847e5 @ A_27a )
% 5.55/5.84 & ? [V3848e6: $i] :
% 5.55/5.84 ( ( mem @ V3848e6 @ A_27a )
% 5.55/5.84 & ? [V3849e7: $i] :
% 5.55/5.84 ( ( mem @ V3849e7 @ A_27a )
% 5.55/5.84 & ? [V3850e8: $i] :
% 5.55/5.84 ( ( mem @ V3850e8 @ A_27a )
% 5.55/5.84 & ? [V3851e9: $i] :
% 5.55/5.84 ( ( mem @ V3851e9 @ A_27a )
% 5.55/5.84 & ? [V3852e10: $i] :
% 5.55/5.84 ( ( mem @ V3852e10 @ A_27a )
% 5.55/5.84 & ? [V3853e11: $i] :
% 5.55/5.84 ( ( mem @ V3853e11 @ A_27a )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3843e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3844e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3845e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3846e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3847e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3848e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3849e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3850e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3851e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3852e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3853e11 ) @ V3842l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.84 <=> ? [V3854l_27: $i] :
% 5.55/5.84 ( ( mem @ V3854l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V3855e1: $i] :
% 5.55/5.84 ( ( mem @ V3855e1 @ A_27a )
% 5.55/5.84 & ? [V3856e2: $i] :
% 5.55/5.84 ( ( mem @ V3856e2 @ A_27a )
% 5.55/5.84 & ? [V3857e3: $i] :
% 5.55/5.84 ( ( mem @ V3857e3 @ A_27a )
% 5.55/5.84 & ? [V3858e4: $i] :
% 5.55/5.84 ( ( mem @ V3858e4 @ A_27a )
% 5.55/5.84 & ? [V3859e5: $i] :
% 5.55/5.84 ( ( mem @ V3859e5 @ A_27a )
% 5.55/5.84 & ? [V3860e6: $i] :
% 5.55/5.84 ( ( mem @ V3860e6 @ A_27a )
% 5.55/5.84 & ? [V3861e7: $i] :
% 5.55/5.84 ( ( mem @ V3861e7 @ A_27a )
% 5.55/5.84 & ? [V3862e8: $i] :
% 5.55/5.84 ( ( mem @ V3862e8 @ A_27a )
% 5.55/5.84 & ? [V3863e9: $i] :
% 5.55/5.84 ( ( mem @ V3863e9 @ A_27a )
% 5.55/5.84 & ? [V3864e10: $i] :
% 5.55/5.84 ( ( mem @ V3864e10 @ A_27a )
% 5.55/5.84 & ? [V3865e11: $i] :
% 5.55/5.84 ( ( mem @ V3865e11 @ A_27a )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3855e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3856e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3857e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3858e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3859e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3860e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3861e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3862e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3863e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3864e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3865e11 ) @ V3854l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.84 <=> ? [V3866l_27: $i] :
% 5.55/5.84 ( ( mem @ V3866l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V3867e1: $i] :
% 5.55/5.84 ( ( mem @ V3867e1 @ A_27a )
% 5.55/5.84 & ? [V3868e2: $i] :
% 5.55/5.84 ( ( mem @ V3868e2 @ A_27a )
% 5.55/5.84 & ? [V3869e3: $i] :
% 5.55/5.84 ( ( mem @ V3869e3 @ A_27a )
% 5.55/5.84 & ? [V3870e4: $i] :
% 5.55/5.84 ( ( mem @ V3870e4 @ A_27a )
% 5.55/5.84 & ? [V3871e5: $i] :
% 5.55/5.84 ( ( mem @ V3871e5 @ A_27a )
% 5.55/5.84 & ? [V3872e6: $i] :
% 5.55/5.84 ( ( mem @ V3872e6 @ A_27a )
% 5.55/5.84 & ? [V3873e7: $i] :
% 5.55/5.84 ( ( mem @ V3873e7 @ A_27a )
% 5.55/5.84 & ? [V3874e8: $i] :
% 5.55/5.84 ( ( mem @ V3874e8 @ A_27a )
% 5.55/5.84 & ? [V3875e9: $i] :
% 5.55/5.84 ( ( mem @ V3875e9 @ A_27a )
% 5.55/5.84 & ? [V3876e10: $i] :
% 5.55/5.84 ( ( mem @ V3876e10 @ A_27a )
% 5.55/5.84 & ? [V3877e11: $i] :
% 5.55/5.84 ( ( mem @ V3877e11 @ A_27a )
% 5.55/5.84 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V3866l_27 ) ) )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3867e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3868e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3869e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3870e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3871e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3872e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3873e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3874e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3875e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3876e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3877e11 ) @ V3866l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.84 <=> ? [V3878l_27: $i] :
% 5.55/5.84 ( ( mem @ V3878l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V3879e1: $i] :
% 5.55/5.84 ( ( mem @ V3879e1 @ A_27a )
% 5.55/5.84 & ? [V3880e2: $i] :
% 5.55/5.84 ( ( mem @ V3880e2 @ A_27a )
% 5.55/5.84 & ? [V3881e3: $i] :
% 5.55/5.84 ( ( mem @ V3881e3 @ A_27a )
% 5.55/5.84 & ? [V3882e4: $i] :
% 5.55/5.84 ( ( mem @ V3882e4 @ A_27a )
% 5.55/5.84 & ? [V3883e5: $i] :
% 5.55/5.84 ( ( mem @ V3883e5 @ A_27a )
% 5.55/5.84 & ? [V3884e6: $i] :
% 5.55/5.84 ( ( mem @ V3884e6 @ A_27a )
% 5.55/5.84 & ? [V3885e7: $i] :
% 5.55/5.84 ( ( mem @ V3885e7 @ A_27a )
% 5.55/5.84 & ? [V3886e8: $i] :
% 5.55/5.84 ( ( mem @ V3886e8 @ A_27a )
% 5.55/5.84 & ? [V3887e9: $i] :
% 5.55/5.84 ( ( mem @ V3887e9 @ A_27a )
% 5.55/5.84 & ? [V3888e10: $i] :
% 5.55/5.84 ( ( mem @ V3888e10 @ A_27a )
% 5.55/5.84 & ? [V3889e11: $i] :
% 5.55/5.84 ( ( mem @ V3889e11 @ A_27a )
% 5.55/5.84 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V3878l_27 ) ) )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3879e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3880e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3881e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3882e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3883e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3884e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3885e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3886e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3887e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3888e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3889e11 ) @ V3878l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.84 <=> ? [V3890l_27: $i] :
% 5.55/5.84 ( ( mem @ V3890l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V3891e1: $i] :
% 5.55/5.84 ( ( mem @ V3891e1 @ A_27a )
% 5.55/5.84 & ? [V3892e2: $i] :
% 5.55/5.84 ( ( mem @ V3892e2 @ A_27a )
% 5.55/5.84 & ? [V3893e3: $i] :
% 5.55/5.84 ( ( mem @ V3893e3 @ A_27a )
% 5.55/5.84 & ? [V3894e4: $i] :
% 5.55/5.84 ( ( mem @ V3894e4 @ A_27a )
% 5.55/5.84 & ? [V3895e5: $i] :
% 5.55/5.84 ( ( mem @ V3895e5 @ A_27a )
% 5.55/5.84 & ? [V3896e6: $i] :
% 5.55/5.84 ( ( mem @ V3896e6 @ A_27a )
% 5.55/5.84 & ? [V3897e7: $i] :
% 5.55/5.84 ( ( mem @ V3897e7 @ A_27a )
% 5.55/5.84 & ? [V3898e8: $i] :
% 5.55/5.84 ( ( mem @ V3898e8 @ A_27a )
% 5.55/5.84 & ? [V3899e9: $i] :
% 5.55/5.84 ( ( mem @ V3899e9 @ A_27a )
% 5.55/5.84 & ? [V3900e10: $i] :
% 5.55/5.84 ( ( mem @ V3900e10 @ A_27a )
% 5.55/5.84 & ? [V3901e11: $i] :
% 5.55/5.84 ( ( mem @ V3901e11 @ A_27a )
% 5.55/5.84 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V3890l_27 ) ) )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3891e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3892e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3893e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3894e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3895e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3896e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3897e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3898e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3899e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3900e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3901e11 ) @ V3890l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.84 <=> ? [V3902l_27: $i] :
% 5.55/5.84 ( ( mem @ V3902l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V3903e1: $i] :
% 5.55/5.84 ( ( mem @ V3903e1 @ A_27a )
% 5.55/5.84 & ? [V3904e2: $i] :
% 5.55/5.84 ( ( mem @ V3904e2 @ A_27a )
% 5.55/5.84 & ? [V3905e3: $i] :
% 5.55/5.84 ( ( mem @ V3905e3 @ A_27a )
% 5.55/5.84 & ? [V3906e4: $i] :
% 5.55/5.84 ( ( mem @ V3906e4 @ A_27a )
% 5.55/5.84 & ? [V3907e5: $i] :
% 5.55/5.84 ( ( mem @ V3907e5 @ A_27a )
% 5.55/5.84 & ? [V3908e6: $i] :
% 5.55/5.84 ( ( mem @ V3908e6 @ A_27a )
% 5.55/5.84 & ? [V3909e7: $i] :
% 5.55/5.84 ( ( mem @ V3909e7 @ A_27a )
% 5.55/5.84 & ? [V3910e8: $i] :
% 5.55/5.84 ( ( mem @ V3910e8 @ A_27a )
% 5.55/5.84 & ? [V3911e9: $i] :
% 5.55/5.84 ( ( mem @ V3911e9 @ A_27a )
% 5.55/5.84 & ? [V3912e10: $i] :
% 5.55/5.84 ( ( mem @ V3912e10 @ A_27a )
% 5.55/5.84 & ? [V3913e11: $i] :
% 5.55/5.84 ( ( mem @ V3913e11 @ A_27a )
% 5.55/5.84 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V3902l_27 ) ) )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3903e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3904e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3905e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3906e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3907e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3908e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3909e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3910e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3911e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3912e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3913e11 ) @ V3902l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.84 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.84 <=> ? [V3914l_27: $i] :
% 5.55/5.84 ( ( mem @ V3914l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V3915e1: $i] :
% 5.55/5.84 ( ( mem @ V3915e1 @ A_27a )
% 5.55/5.84 & ? [V3916e2: $i] :
% 5.55/5.84 ( ( mem @ V3916e2 @ A_27a )
% 5.55/5.84 & ? [V3917e3: $i] :
% 5.55/5.84 ( ( mem @ V3917e3 @ A_27a )
% 5.55/5.84 & ? [V3918e4: $i] :
% 5.55/5.84 ( ( mem @ V3918e4 @ A_27a )
% 5.55/5.84 & ? [V3919e5: $i] :
% 5.55/5.84 ( ( mem @ V3919e5 @ A_27a )
% 5.55/5.84 & ? [V3920e6: $i] :
% 5.55/5.84 ( ( mem @ V3920e6 @ A_27a )
% 5.55/5.84 & ? [V3921e7: $i] :
% 5.55/5.84 ( ( mem @ V3921e7 @ A_27a )
% 5.55/5.84 & ? [V3922e8: $i] :
% 5.55/5.84 ( ( mem @ V3922e8 @ A_27a )
% 5.55/5.84 & ? [V3923e9: $i] :
% 5.55/5.84 ( ( mem @ V3923e9 @ A_27a )
% 5.55/5.84 & ? [V3924e10: $i] :
% 5.55/5.84 ( ( mem @ V3924e10 @ A_27a )
% 5.55/5.84 & ? [V3925e11: $i] :
% 5.55/5.84 ( ( mem @ V3925e11 @ A_27a )
% 5.55/5.84 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V3914l_27 ) )
% 5.55/5.84 = V1x )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3915e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3916e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3917e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3918e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3919e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3920e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3921e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3922e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3923e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3924e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3925e11 ) @ V3914l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.55/5.84 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.84 <=> ? [V3926l_27: $i] :
% 5.55/5.84 ( ( mem @ V3926l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V3927e1: $i] :
% 5.55/5.84 ( ( mem @ V3927e1 @ A_27a )
% 5.55/5.84 & ? [V3928e2: $i] :
% 5.55/5.84 ( ( mem @ V3928e2 @ A_27a )
% 5.55/5.84 & ? [V3929e3: $i] :
% 5.55/5.84 ( ( mem @ V3929e3 @ A_27a )
% 5.55/5.84 & ? [V3930e4: $i] :
% 5.55/5.84 ( ( mem @ V3930e4 @ A_27a )
% 5.55/5.84 & ? [V3931e5: $i] :
% 5.55/5.84 ( ( mem @ V3931e5 @ A_27a )
% 5.55/5.84 & ? [V3932e6: $i] :
% 5.55/5.84 ( ( mem @ V3932e6 @ A_27a )
% 5.55/5.84 & ? [V3933e7: $i] :
% 5.55/5.84 ( ( mem @ V3933e7 @ A_27a )
% 5.55/5.84 & ? [V3934e8: $i] :
% 5.55/5.84 ( ( mem @ V3934e8 @ A_27a )
% 5.55/5.84 & ? [V3935e9: $i] :
% 5.55/5.84 ( ( mem @ V3935e9 @ A_27a )
% 5.55/5.84 & ? [V3936e10: $i] :
% 5.55/5.84 ( ( mem @ V3936e10 @ A_27a )
% 5.55/5.84 & ? [V3937e11: $i] :
% 5.55/5.84 ( ( mem @ V3937e11 @ A_27a )
% 5.55/5.84 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V3926l_27 ) )
% 5.55/5.84 = V1x )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3927e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3928e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3929e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3930e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3931e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3932e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3933e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3934e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3935e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3936e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3937e11 ) @ V3926l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.84 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.84 <=> ? [V3938l_27: $i] :
% 5.55/5.84 ( ( mem @ V3938l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V3939e1: $i] :
% 5.55/5.84 ( ( mem @ V3939e1 @ A_27a )
% 5.55/5.84 & ? [V3940e2: $i] :
% 5.55/5.84 ( ( mem @ V3940e2 @ A_27a )
% 5.55/5.84 & ? [V3941e3: $i] :
% 5.55/5.84 ( ( mem @ V3941e3 @ A_27a )
% 5.55/5.84 & ? [V3942e4: $i] :
% 5.55/5.84 ( ( mem @ V3942e4 @ A_27a )
% 5.55/5.84 & ? [V3943e5: $i] :
% 5.55/5.84 ( ( mem @ V3943e5 @ A_27a )
% 5.55/5.84 & ? [V3944e6: $i] :
% 5.55/5.84 ( ( mem @ V3944e6 @ A_27a )
% 5.55/5.84 & ? [V3945e7: $i] :
% 5.55/5.84 ( ( mem @ V3945e7 @ A_27a )
% 5.55/5.84 & ? [V3946e8: $i] :
% 5.55/5.84 ( ( mem @ V3946e8 @ A_27a )
% 5.55/5.84 & ? [V3947e9: $i] :
% 5.55/5.84 ( ( mem @ V3947e9 @ A_27a )
% 5.55/5.84 & ? [V3948e10: $i] :
% 5.55/5.84 ( ( mem @ V3948e10 @ A_27a )
% 5.55/5.84 & ? [V3949e11: $i] :
% 5.55/5.84 ( ( mem @ V3949e11 @ A_27a )
% 5.55/5.84 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V3938l_27 ) )
% 5.55/5.84 = V1x )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3939e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3940e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3941e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3942e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3943e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3944e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3945e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3946e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3947e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3948e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3949e11 ) @ V3938l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.84 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.84 <=> ? [V3950l_27: $i] :
% 5.55/5.84 ( ( mem @ V3950l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V3951e1: $i] :
% 5.55/5.84 ( ( mem @ V3951e1 @ A_27a )
% 5.55/5.84 & ? [V3952e2: $i] :
% 5.55/5.84 ( ( mem @ V3952e2 @ A_27a )
% 5.55/5.84 & ? [V3953e3: $i] :
% 5.55/5.84 ( ( mem @ V3953e3 @ A_27a )
% 5.55/5.84 & ? [V3954e4: $i] :
% 5.55/5.84 ( ( mem @ V3954e4 @ A_27a )
% 5.55/5.84 & ? [V3955e5: $i] :
% 5.55/5.84 ( ( mem @ V3955e5 @ A_27a )
% 5.55/5.84 & ? [V3956e6: $i] :
% 5.55/5.84 ( ( mem @ V3956e6 @ A_27a )
% 5.55/5.84 & ? [V3957e7: $i] :
% 5.55/5.84 ( ( mem @ V3957e7 @ A_27a )
% 5.55/5.84 & ? [V3958e8: $i] :
% 5.55/5.84 ( ( mem @ V3958e8 @ A_27a )
% 5.55/5.84 & ? [V3959e9: $i] :
% 5.55/5.84 ( ( mem @ V3959e9 @ A_27a )
% 5.55/5.84 & ? [V3960e10: $i] :
% 5.55/5.84 ( ( mem @ V3960e10 @ A_27a )
% 5.55/5.84 & ? [V3961e11: $i] :
% 5.55/5.84 ( ( mem @ V3961e11 @ A_27a )
% 5.55/5.84 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V3950l_27 ) )
% 5.55/5.84 = V1x )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3951e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3952e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3953e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3954e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3955e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3956e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3957e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3958e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3959e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3960e10 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3961e11 ) @ V3950l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.84 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.84 <=> ? [V3962e1: $i] :
% 5.55/5.84 ( ( mem @ V3962e1 @ A_27a )
% 5.55/5.84 & ? [V3963e2: $i] :
% 5.55/5.84 ( ( mem @ V3963e2 @ A_27a )
% 5.55/5.84 & ? [V3964e3: $i] :
% 5.55/5.84 ( ( mem @ V3964e3 @ A_27a )
% 5.55/5.84 & ? [V3965e4: $i] :
% 5.55/5.84 ( ( mem @ V3965e4 @ A_27a )
% 5.55/5.84 & ? [V3966e5: $i] :
% 5.55/5.84 ( ( mem @ V3966e5 @ A_27a )
% 5.55/5.84 & ? [V3967e6: $i] :
% 5.55/5.84 ( ( mem @ V3967e6 @ A_27a )
% 5.55/5.84 & ? [V3968e7: $i] :
% 5.55/5.84 ( ( mem @ V3968e7 @ A_27a )
% 5.55/5.84 & ? [V3969e8: $i] :
% 5.55/5.84 ( ( mem @ V3969e8 @ A_27a )
% 5.55/5.84 & ? [V3970e9: $i] :
% 5.55/5.84 ( ( mem @ V3970e9 @ A_27a )
% 5.55/5.84 & ? [V3971e10: $i] :
% 5.55/5.84 ( ( mem @ V3971e10 @ A_27a )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3962e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3963e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3964e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3965e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3966e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3967e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3968e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3969e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3970e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3971e10 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.84 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.84 <=> ? [V3972e1: $i] :
% 5.55/5.84 ( ( mem @ V3972e1 @ A_27a )
% 5.55/5.84 & ? [V3973e2: $i] :
% 5.55/5.84 ( ( mem @ V3973e2 @ A_27a )
% 5.55/5.84 & ? [V3974e3: $i] :
% 5.55/5.84 ( ( mem @ V3974e3 @ A_27a )
% 5.55/5.84 & ? [V3975e4: $i] :
% 5.55/5.84 ( ( mem @ V3975e4 @ A_27a )
% 5.55/5.84 & ? [V3976e5: $i] :
% 5.55/5.84 ( ( mem @ V3976e5 @ A_27a )
% 5.55/5.84 & ? [V3977e6: $i] :
% 5.55/5.84 ( ( mem @ V3977e6 @ A_27a )
% 5.55/5.84 & ? [V3978e7: $i] :
% 5.55/5.84 ( ( mem @ V3978e7 @ A_27a )
% 5.55/5.84 & ? [V3979e8: $i] :
% 5.55/5.84 ( ( mem @ V3979e8 @ A_27a )
% 5.55/5.84 & ? [V3980e9: $i] :
% 5.55/5.84 ( ( mem @ V3980e9 @ A_27a )
% 5.55/5.84 & ? [V3981e10: $i] :
% 5.55/5.84 ( ( mem @ V3981e10 @ A_27a )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3972e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3973e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3974e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3975e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3976e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3977e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3978e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3979e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3980e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3981e10 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.84 <=> ? [V3982l_27: $i] :
% 5.55/5.84 ( ( mem @ V3982l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V3983e1: $i] :
% 5.55/5.84 ( ( mem @ V3983e1 @ A_27a )
% 5.55/5.84 & ? [V3984e2: $i] :
% 5.55/5.84 ( ( mem @ V3984e2 @ A_27a )
% 5.55/5.84 & ? [V3985e3: $i] :
% 5.55/5.84 ( ( mem @ V3985e3 @ A_27a )
% 5.55/5.84 & ? [V3986e4: $i] :
% 5.55/5.84 ( ( mem @ V3986e4 @ A_27a )
% 5.55/5.84 & ? [V3987e5: $i] :
% 5.55/5.84 ( ( mem @ V3987e5 @ A_27a )
% 5.55/5.84 & ? [V3988e6: $i] :
% 5.55/5.84 ( ( mem @ V3988e6 @ A_27a )
% 5.55/5.84 & ? [V3989e7: $i] :
% 5.55/5.84 ( ( mem @ V3989e7 @ A_27a )
% 5.55/5.84 & ? [V3990e8: $i] :
% 5.55/5.84 ( ( mem @ V3990e8 @ A_27a )
% 5.55/5.84 & ? [V3991e9: $i] :
% 5.55/5.84 ( ( mem @ V3991e9 @ A_27a )
% 5.55/5.84 & ? [V3992e10: $i] :
% 5.55/5.84 ( ( mem @ V3992e10 @ A_27a )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3983e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3984e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3985e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3986e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3987e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3988e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3989e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3990e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3991e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3992e10 ) @ V3982l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.84 <=> ? [V3993l_27: $i] :
% 5.55/5.84 ( ( mem @ V3993l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V3994e1: $i] :
% 5.55/5.84 ( ( mem @ V3994e1 @ A_27a )
% 5.55/5.84 & ? [V3995e2: $i] :
% 5.55/5.84 ( ( mem @ V3995e2 @ A_27a )
% 5.55/5.84 & ? [V3996e3: $i] :
% 5.55/5.84 ( ( mem @ V3996e3 @ A_27a )
% 5.55/5.84 & ? [V3997e4: $i] :
% 5.55/5.84 ( ( mem @ V3997e4 @ A_27a )
% 5.55/5.84 & ? [V3998e5: $i] :
% 5.55/5.84 ( ( mem @ V3998e5 @ A_27a )
% 5.55/5.84 & ? [V3999e6: $i] :
% 5.55/5.84 ( ( mem @ V3999e6 @ A_27a )
% 5.55/5.84 & ? [V4000e7: $i] :
% 5.55/5.84 ( ( mem @ V4000e7 @ A_27a )
% 5.55/5.84 & ? [V4001e8: $i] :
% 5.55/5.84 ( ( mem @ V4001e8 @ A_27a )
% 5.55/5.84 & ? [V4002e9: $i] :
% 5.55/5.84 ( ( mem @ V4002e9 @ A_27a )
% 5.55/5.84 & ? [V4003e10: $i] :
% 5.55/5.84 ( ( mem @ V4003e10 @ A_27a )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3994e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3995e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3996e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3997e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3998e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3999e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4000e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4001e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4002e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4003e10 ) @ V3993l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.84 <=> ? [V4004l_27: $i] :
% 5.55/5.84 ( ( mem @ V4004l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V4005e1: $i] :
% 5.55/5.84 ( ( mem @ V4005e1 @ A_27a )
% 5.55/5.84 & ? [V4006e2: $i] :
% 5.55/5.84 ( ( mem @ V4006e2 @ A_27a )
% 5.55/5.84 & ? [V4007e3: $i] :
% 5.55/5.84 ( ( mem @ V4007e3 @ A_27a )
% 5.55/5.84 & ? [V4008e4: $i] :
% 5.55/5.84 ( ( mem @ V4008e4 @ A_27a )
% 5.55/5.84 & ? [V4009e5: $i] :
% 5.55/5.84 ( ( mem @ V4009e5 @ A_27a )
% 5.55/5.84 & ? [V4010e6: $i] :
% 5.55/5.84 ( ( mem @ V4010e6 @ A_27a )
% 5.55/5.84 & ? [V4011e7: $i] :
% 5.55/5.84 ( ( mem @ V4011e7 @ A_27a )
% 5.55/5.84 & ? [V4012e8: $i] :
% 5.55/5.84 ( ( mem @ V4012e8 @ A_27a )
% 5.55/5.84 & ? [V4013e9: $i] :
% 5.55/5.84 ( ( mem @ V4013e9 @ A_27a )
% 5.55/5.84 & ? [V4014e10: $i] :
% 5.55/5.84 ( ( mem @ V4014e10 @ A_27a )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4005e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4006e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4007e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4008e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4009e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4010e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4011e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4012e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4013e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4014e10 ) @ V4004l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.84 <=> ? [V4015l_27: $i] :
% 5.55/5.84 ( ( mem @ V4015l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V4016e1: $i] :
% 5.55/5.84 ( ( mem @ V4016e1 @ A_27a )
% 5.55/5.84 & ? [V4017e2: $i] :
% 5.55/5.84 ( ( mem @ V4017e2 @ A_27a )
% 5.55/5.84 & ? [V4018e3: $i] :
% 5.55/5.84 ( ( mem @ V4018e3 @ A_27a )
% 5.55/5.84 & ? [V4019e4: $i] :
% 5.55/5.84 ( ( mem @ V4019e4 @ A_27a )
% 5.55/5.84 & ? [V4020e5: $i] :
% 5.55/5.84 ( ( mem @ V4020e5 @ A_27a )
% 5.55/5.84 & ? [V4021e6: $i] :
% 5.55/5.84 ( ( mem @ V4021e6 @ A_27a )
% 5.55/5.84 & ? [V4022e7: $i] :
% 5.55/5.84 ( ( mem @ V4022e7 @ A_27a )
% 5.55/5.84 & ? [V4023e8: $i] :
% 5.55/5.84 ( ( mem @ V4023e8 @ A_27a )
% 5.55/5.84 & ? [V4024e9: $i] :
% 5.55/5.84 ( ( mem @ V4024e9 @ A_27a )
% 5.55/5.84 & ? [V4025e10: $i] :
% 5.55/5.84 ( ( mem @ V4025e10 @ A_27a )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4016e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4017e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4018e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4019e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4020e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4021e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4022e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4023e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4024e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4025e10 ) @ V4015l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.84 <=> ? [V4026l_27: $i] :
% 5.55/5.84 ( ( mem @ V4026l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V4027e1: $i] :
% 5.55/5.84 ( ( mem @ V4027e1 @ A_27a )
% 5.55/5.84 & ? [V4028e2: $i] :
% 5.55/5.84 ( ( mem @ V4028e2 @ A_27a )
% 5.55/5.84 & ? [V4029e3: $i] :
% 5.55/5.84 ( ( mem @ V4029e3 @ A_27a )
% 5.55/5.84 & ? [V4030e4: $i] :
% 5.55/5.84 ( ( mem @ V4030e4 @ A_27a )
% 5.55/5.84 & ? [V4031e5: $i] :
% 5.55/5.84 ( ( mem @ V4031e5 @ A_27a )
% 5.55/5.84 & ? [V4032e6: $i] :
% 5.55/5.84 ( ( mem @ V4032e6 @ A_27a )
% 5.55/5.84 & ? [V4033e7: $i] :
% 5.55/5.84 ( ( mem @ V4033e7 @ A_27a )
% 5.55/5.84 & ? [V4034e8: $i] :
% 5.55/5.84 ( ( mem @ V4034e8 @ A_27a )
% 5.55/5.84 & ? [V4035e9: $i] :
% 5.55/5.84 ( ( mem @ V4035e9 @ A_27a )
% 5.55/5.84 & ? [V4036e10: $i] :
% 5.55/5.84 ( ( mem @ V4036e10 @ A_27a )
% 5.55/5.84 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4026l_27 ) ) )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4027e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4028e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4029e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4030e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4031e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4032e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4033e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4034e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4035e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4036e10 ) @ V4026l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.84 <=> ? [V4037l_27: $i] :
% 5.55/5.84 ( ( mem @ V4037l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V4038e1: $i] :
% 5.55/5.84 ( ( mem @ V4038e1 @ A_27a )
% 5.55/5.84 & ? [V4039e2: $i] :
% 5.55/5.84 ( ( mem @ V4039e2 @ A_27a )
% 5.55/5.84 & ? [V4040e3: $i] :
% 5.55/5.84 ( ( mem @ V4040e3 @ A_27a )
% 5.55/5.84 & ? [V4041e4: $i] :
% 5.55/5.84 ( ( mem @ V4041e4 @ A_27a )
% 5.55/5.84 & ? [V4042e5: $i] :
% 5.55/5.84 ( ( mem @ V4042e5 @ A_27a )
% 5.55/5.84 & ? [V4043e6: $i] :
% 5.55/5.84 ( ( mem @ V4043e6 @ A_27a )
% 5.55/5.84 & ? [V4044e7: $i] :
% 5.55/5.84 ( ( mem @ V4044e7 @ A_27a )
% 5.55/5.84 & ? [V4045e8: $i] :
% 5.55/5.84 ( ( mem @ V4045e8 @ A_27a )
% 5.55/5.84 & ? [V4046e9: $i] :
% 5.55/5.84 ( ( mem @ V4046e9 @ A_27a )
% 5.55/5.84 & ? [V4047e10: $i] :
% 5.55/5.84 ( ( mem @ V4047e10 @ A_27a )
% 5.55/5.84 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4037l_27 ) ) )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4038e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4039e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4040e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4041e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4042e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4043e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4044e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4045e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4046e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4047e10 ) @ V4037l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.84 <=> ? [V4048l_27: $i] :
% 5.55/5.84 ( ( mem @ V4048l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V4049e1: $i] :
% 5.55/5.84 ( ( mem @ V4049e1 @ A_27a )
% 5.55/5.84 & ? [V4050e2: $i] :
% 5.55/5.84 ( ( mem @ V4050e2 @ A_27a )
% 5.55/5.84 & ? [V4051e3: $i] :
% 5.55/5.84 ( ( mem @ V4051e3 @ A_27a )
% 5.55/5.84 & ? [V4052e4: $i] :
% 5.55/5.84 ( ( mem @ V4052e4 @ A_27a )
% 5.55/5.84 & ? [V4053e5: $i] :
% 5.55/5.84 ( ( mem @ V4053e5 @ A_27a )
% 5.55/5.84 & ? [V4054e6: $i] :
% 5.55/5.84 ( ( mem @ V4054e6 @ A_27a )
% 5.55/5.84 & ? [V4055e7: $i] :
% 5.55/5.84 ( ( mem @ V4055e7 @ A_27a )
% 5.55/5.84 & ? [V4056e8: $i] :
% 5.55/5.84 ( ( mem @ V4056e8 @ A_27a )
% 5.55/5.84 & ? [V4057e9: $i] :
% 5.55/5.84 ( ( mem @ V4057e9 @ A_27a )
% 5.55/5.84 & ? [V4058e10: $i] :
% 5.55/5.84 ( ( mem @ V4058e10 @ A_27a )
% 5.55/5.84 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4048l_27 ) ) )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4049e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4050e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4051e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4052e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4053e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4054e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4055e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4056e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4057e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4058e10 ) @ V4048l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.84 <=> ? [V4059l_27: $i] :
% 5.55/5.84 ( ( mem @ V4059l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V4060e1: $i] :
% 5.55/5.84 ( ( mem @ V4060e1 @ A_27a )
% 5.55/5.84 & ? [V4061e2: $i] :
% 5.55/5.84 ( ( mem @ V4061e2 @ A_27a )
% 5.55/5.84 & ? [V4062e3: $i] :
% 5.55/5.84 ( ( mem @ V4062e3 @ A_27a )
% 5.55/5.84 & ? [V4063e4: $i] :
% 5.55/5.84 ( ( mem @ V4063e4 @ A_27a )
% 5.55/5.84 & ? [V4064e5: $i] :
% 5.55/5.84 ( ( mem @ V4064e5 @ A_27a )
% 5.55/5.84 & ? [V4065e6: $i] :
% 5.55/5.84 ( ( mem @ V4065e6 @ A_27a )
% 5.55/5.84 & ? [V4066e7: $i] :
% 5.55/5.84 ( ( mem @ V4066e7 @ A_27a )
% 5.55/5.84 & ? [V4067e8: $i] :
% 5.55/5.84 ( ( mem @ V4067e8 @ A_27a )
% 5.55/5.84 & ? [V4068e9: $i] :
% 5.55/5.84 ( ( mem @ V4068e9 @ A_27a )
% 5.55/5.84 & ? [V4069e10: $i] :
% 5.55/5.84 ( ( mem @ V4069e10 @ A_27a )
% 5.55/5.84 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4059l_27 ) ) )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4060e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4061e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4062e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4063e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4064e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4065e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4066e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4067e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4068e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4069e10 ) @ V4059l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.84 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.84 <=> ? [V4070l_27: $i] :
% 5.55/5.84 ( ( mem @ V4070l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V4071e1: $i] :
% 5.55/5.84 ( ( mem @ V4071e1 @ A_27a )
% 5.55/5.84 & ? [V4072e2: $i] :
% 5.55/5.84 ( ( mem @ V4072e2 @ A_27a )
% 5.55/5.84 & ? [V4073e3: $i] :
% 5.55/5.84 ( ( mem @ V4073e3 @ A_27a )
% 5.55/5.84 & ? [V4074e4: $i] :
% 5.55/5.84 ( ( mem @ V4074e4 @ A_27a )
% 5.55/5.84 & ? [V4075e5: $i] :
% 5.55/5.84 ( ( mem @ V4075e5 @ A_27a )
% 5.55/5.84 & ? [V4076e6: $i] :
% 5.55/5.84 ( ( mem @ V4076e6 @ A_27a )
% 5.55/5.84 & ? [V4077e7: $i] :
% 5.55/5.84 ( ( mem @ V4077e7 @ A_27a )
% 5.55/5.84 & ? [V4078e8: $i] :
% 5.55/5.84 ( ( mem @ V4078e8 @ A_27a )
% 5.55/5.84 & ? [V4079e9: $i] :
% 5.55/5.84 ( ( mem @ V4079e9 @ A_27a )
% 5.55/5.84 & ? [V4080e10: $i] :
% 5.55/5.84 ( ( mem @ V4080e10 @ A_27a )
% 5.55/5.84 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4070l_27 ) )
% 5.55/5.84 = V1x )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4071e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4072e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4073e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4074e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4075e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4076e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4077e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4078e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4079e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4080e10 ) @ V4070l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.55/5.84 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.84 <=> ? [V4081l_27: $i] :
% 5.55/5.84 ( ( mem @ V4081l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V4082e1: $i] :
% 5.55/5.84 ( ( mem @ V4082e1 @ A_27a )
% 5.55/5.84 & ? [V4083e2: $i] :
% 5.55/5.84 ( ( mem @ V4083e2 @ A_27a )
% 5.55/5.84 & ? [V4084e3: $i] :
% 5.55/5.84 ( ( mem @ V4084e3 @ A_27a )
% 5.55/5.84 & ? [V4085e4: $i] :
% 5.55/5.84 ( ( mem @ V4085e4 @ A_27a )
% 5.55/5.84 & ? [V4086e5: $i] :
% 5.55/5.84 ( ( mem @ V4086e5 @ A_27a )
% 5.55/5.84 & ? [V4087e6: $i] :
% 5.55/5.84 ( ( mem @ V4087e6 @ A_27a )
% 5.55/5.84 & ? [V4088e7: $i] :
% 5.55/5.84 ( ( mem @ V4088e7 @ A_27a )
% 5.55/5.84 & ? [V4089e8: $i] :
% 5.55/5.84 ( ( mem @ V4089e8 @ A_27a )
% 5.55/5.84 & ? [V4090e9: $i] :
% 5.55/5.84 ( ( mem @ V4090e9 @ A_27a )
% 5.55/5.84 & ? [V4091e10: $i] :
% 5.55/5.84 ( ( mem @ V4091e10 @ A_27a )
% 5.55/5.84 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4081l_27 ) )
% 5.55/5.84 = V1x )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4082e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4083e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4084e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4085e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4086e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4087e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4088e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4089e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4090e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4091e10 ) @ V4081l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.84 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.84 <=> ? [V4092l_27: $i] :
% 5.55/5.84 ( ( mem @ V4092l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V4093e1: $i] :
% 5.55/5.84 ( ( mem @ V4093e1 @ A_27a )
% 5.55/5.84 & ? [V4094e2: $i] :
% 5.55/5.84 ( ( mem @ V4094e2 @ A_27a )
% 5.55/5.84 & ? [V4095e3: $i] :
% 5.55/5.84 ( ( mem @ V4095e3 @ A_27a )
% 5.55/5.84 & ? [V4096e4: $i] :
% 5.55/5.84 ( ( mem @ V4096e4 @ A_27a )
% 5.55/5.84 & ? [V4097e5: $i] :
% 5.55/5.84 ( ( mem @ V4097e5 @ A_27a )
% 5.55/5.84 & ? [V4098e6: $i] :
% 5.55/5.84 ( ( mem @ V4098e6 @ A_27a )
% 5.55/5.84 & ? [V4099e7: $i] :
% 5.55/5.84 ( ( mem @ V4099e7 @ A_27a )
% 5.55/5.84 & ? [V4100e8: $i] :
% 5.55/5.84 ( ( mem @ V4100e8 @ A_27a )
% 5.55/5.84 & ? [V4101e9: $i] :
% 5.55/5.84 ( ( mem @ V4101e9 @ A_27a )
% 5.55/5.84 & ? [V4102e10: $i] :
% 5.55/5.84 ( ( mem @ V4102e10 @ A_27a )
% 5.55/5.84 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4092l_27 ) )
% 5.55/5.84 = V1x )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4093e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4094e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4095e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4096e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4097e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4098e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4099e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4100e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4101e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4102e10 ) @ V4092l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.84 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.84 <=> ? [V4103l_27: $i] :
% 5.55/5.84 ( ( mem @ V4103l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V4104e1: $i] :
% 5.55/5.84 ( ( mem @ V4104e1 @ A_27a )
% 5.55/5.84 & ? [V4105e2: $i] :
% 5.55/5.84 ( ( mem @ V4105e2 @ A_27a )
% 5.55/5.84 & ? [V4106e3: $i] :
% 5.55/5.84 ( ( mem @ V4106e3 @ A_27a )
% 5.55/5.84 & ? [V4107e4: $i] :
% 5.55/5.84 ( ( mem @ V4107e4 @ A_27a )
% 5.55/5.84 & ? [V4108e5: $i] :
% 5.55/5.84 ( ( mem @ V4108e5 @ A_27a )
% 5.55/5.84 & ? [V4109e6: $i] :
% 5.55/5.84 ( ( mem @ V4109e6 @ A_27a )
% 5.55/5.84 & ? [V4110e7: $i] :
% 5.55/5.84 ( ( mem @ V4110e7 @ A_27a )
% 5.55/5.84 & ? [V4111e8: $i] :
% 5.55/5.84 ( ( mem @ V4111e8 @ A_27a )
% 5.55/5.84 & ? [V4112e9: $i] :
% 5.55/5.84 ( ( mem @ V4112e9 @ A_27a )
% 5.55/5.84 & ? [V4113e10: $i] :
% 5.55/5.84 ( ( mem @ V4113e10 @ A_27a )
% 5.55/5.84 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4103l_27 ) )
% 5.55/5.84 = V1x )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4104e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4105e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4106e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4107e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4108e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4109e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4110e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4111e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4112e9 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4113e10 ) @ V4103l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.84 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.84 <=> ? [V4114e1: $i] :
% 5.55/5.84 ( ( mem @ V4114e1 @ A_27a )
% 5.55/5.84 & ? [V4115e2: $i] :
% 5.55/5.84 ( ( mem @ V4115e2 @ A_27a )
% 5.55/5.84 & ? [V4116e3: $i] :
% 5.55/5.84 ( ( mem @ V4116e3 @ A_27a )
% 5.55/5.84 & ? [V4117e4: $i] :
% 5.55/5.84 ( ( mem @ V4117e4 @ A_27a )
% 5.55/5.84 & ? [V4118e5: $i] :
% 5.55/5.84 ( ( mem @ V4118e5 @ A_27a )
% 5.55/5.84 & ? [V4119e6: $i] :
% 5.55/5.84 ( ( mem @ V4119e6 @ A_27a )
% 5.55/5.84 & ? [V4120e7: $i] :
% 5.55/5.84 ( ( mem @ V4120e7 @ A_27a )
% 5.55/5.84 & ? [V4121e8: $i] :
% 5.55/5.84 ( ( mem @ V4121e8 @ A_27a )
% 5.55/5.84 & ? [V4122e9: $i] :
% 5.55/5.84 ( ( mem @ V4122e9 @ A_27a )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4114e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4115e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4116e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4117e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4118e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4119e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4120e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4121e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4122e9 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.84 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.84 <=> ? [V4123e1: $i] :
% 5.55/5.84 ( ( mem @ V4123e1 @ A_27a )
% 5.55/5.84 & ? [V4124e2: $i] :
% 5.55/5.84 ( ( mem @ V4124e2 @ A_27a )
% 5.55/5.84 & ? [V4125e3: $i] :
% 5.55/5.84 ( ( mem @ V4125e3 @ A_27a )
% 5.55/5.84 & ? [V4126e4: $i] :
% 5.55/5.84 ( ( mem @ V4126e4 @ A_27a )
% 5.55/5.84 & ? [V4127e5: $i] :
% 5.55/5.84 ( ( mem @ V4127e5 @ A_27a )
% 5.55/5.84 & ? [V4128e6: $i] :
% 5.55/5.84 ( ( mem @ V4128e6 @ A_27a )
% 5.55/5.84 & ? [V4129e7: $i] :
% 5.55/5.84 ( ( mem @ V4129e7 @ A_27a )
% 5.55/5.84 & ? [V4130e8: $i] :
% 5.55/5.84 ( ( mem @ V4130e8 @ A_27a )
% 5.55/5.84 & ? [V4131e9: $i] :
% 5.55/5.84 ( ( mem @ V4131e9 @ A_27a )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4123e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4124e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4125e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4126e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4127e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4128e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4129e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4130e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4131e9 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.84 <=> ? [V4132l_27: $i] :
% 5.55/5.84 ( ( mem @ V4132l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V4133e1: $i] :
% 5.55/5.84 ( ( mem @ V4133e1 @ A_27a )
% 5.55/5.84 & ? [V4134e2: $i] :
% 5.55/5.84 ( ( mem @ V4134e2 @ A_27a )
% 5.55/5.84 & ? [V4135e3: $i] :
% 5.55/5.84 ( ( mem @ V4135e3 @ A_27a )
% 5.55/5.84 & ? [V4136e4: $i] :
% 5.55/5.84 ( ( mem @ V4136e4 @ A_27a )
% 5.55/5.84 & ? [V4137e5: $i] :
% 5.55/5.84 ( ( mem @ V4137e5 @ A_27a )
% 5.55/5.84 & ? [V4138e6: $i] :
% 5.55/5.84 ( ( mem @ V4138e6 @ A_27a )
% 5.55/5.84 & ? [V4139e7: $i] :
% 5.55/5.84 ( ( mem @ V4139e7 @ A_27a )
% 5.55/5.84 & ? [V4140e8: $i] :
% 5.55/5.84 ( ( mem @ V4140e8 @ A_27a )
% 5.55/5.84 & ? [V4141e9: $i] :
% 5.55/5.84 ( ( mem @ V4141e9 @ A_27a )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4133e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4134e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4135e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4136e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4137e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4138e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4139e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4140e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4141e9 ) @ V4132l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.84 <=> ? [V4142l_27: $i] :
% 5.55/5.84 ( ( mem @ V4142l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V4143e1: $i] :
% 5.55/5.84 ( ( mem @ V4143e1 @ A_27a )
% 5.55/5.84 & ? [V4144e2: $i] :
% 5.55/5.84 ( ( mem @ V4144e2 @ A_27a )
% 5.55/5.84 & ? [V4145e3: $i] :
% 5.55/5.84 ( ( mem @ V4145e3 @ A_27a )
% 5.55/5.84 & ? [V4146e4: $i] :
% 5.55/5.84 ( ( mem @ V4146e4 @ A_27a )
% 5.55/5.84 & ? [V4147e5: $i] :
% 5.55/5.84 ( ( mem @ V4147e5 @ A_27a )
% 5.55/5.84 & ? [V4148e6: $i] :
% 5.55/5.84 ( ( mem @ V4148e6 @ A_27a )
% 5.55/5.84 & ? [V4149e7: $i] :
% 5.55/5.84 ( ( mem @ V4149e7 @ A_27a )
% 5.55/5.84 & ? [V4150e8: $i] :
% 5.55/5.84 ( ( mem @ V4150e8 @ A_27a )
% 5.55/5.84 & ? [V4151e9: $i] :
% 5.55/5.84 ( ( mem @ V4151e9 @ A_27a )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4143e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4144e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4145e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4146e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4147e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4148e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4149e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4150e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4151e9 ) @ V4142l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.84 <=> ? [V4152l_27: $i] :
% 5.55/5.84 ( ( mem @ V4152l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V4153e1: $i] :
% 5.55/5.84 ( ( mem @ V4153e1 @ A_27a )
% 5.55/5.84 & ? [V4154e2: $i] :
% 5.55/5.84 ( ( mem @ V4154e2 @ A_27a )
% 5.55/5.84 & ? [V4155e3: $i] :
% 5.55/5.84 ( ( mem @ V4155e3 @ A_27a )
% 5.55/5.84 & ? [V4156e4: $i] :
% 5.55/5.84 ( ( mem @ V4156e4 @ A_27a )
% 5.55/5.84 & ? [V4157e5: $i] :
% 5.55/5.84 ( ( mem @ V4157e5 @ A_27a )
% 5.55/5.84 & ? [V4158e6: $i] :
% 5.55/5.84 ( ( mem @ V4158e6 @ A_27a )
% 5.55/5.84 & ? [V4159e7: $i] :
% 5.55/5.84 ( ( mem @ V4159e7 @ A_27a )
% 5.55/5.84 & ? [V4160e8: $i] :
% 5.55/5.84 ( ( mem @ V4160e8 @ A_27a )
% 5.55/5.84 & ? [V4161e9: $i] :
% 5.55/5.84 ( ( mem @ V4161e9 @ A_27a )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4153e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4154e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4155e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4156e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4157e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4158e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4159e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4160e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4161e9 ) @ V4152l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.84 <=> ? [V4162l_27: $i] :
% 5.55/5.84 ( ( mem @ V4162l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V4163e1: $i] :
% 5.55/5.84 ( ( mem @ V4163e1 @ A_27a )
% 5.55/5.84 & ? [V4164e2: $i] :
% 5.55/5.84 ( ( mem @ V4164e2 @ A_27a )
% 5.55/5.84 & ? [V4165e3: $i] :
% 5.55/5.84 ( ( mem @ V4165e3 @ A_27a )
% 5.55/5.84 & ? [V4166e4: $i] :
% 5.55/5.84 ( ( mem @ V4166e4 @ A_27a )
% 5.55/5.84 & ? [V4167e5: $i] :
% 5.55/5.84 ( ( mem @ V4167e5 @ A_27a )
% 5.55/5.84 & ? [V4168e6: $i] :
% 5.55/5.84 ( ( mem @ V4168e6 @ A_27a )
% 5.55/5.84 & ? [V4169e7: $i] :
% 5.55/5.84 ( ( mem @ V4169e7 @ A_27a )
% 5.55/5.84 & ? [V4170e8: $i] :
% 5.55/5.84 ( ( mem @ V4170e8 @ A_27a )
% 5.55/5.84 & ? [V4171e9: $i] :
% 5.55/5.84 ( ( mem @ V4171e9 @ A_27a )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4163e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4164e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4165e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4166e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4167e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4168e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4169e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4170e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4171e9 ) @ V4162l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.84 <=> ? [V4172l_27: $i] :
% 5.55/5.84 ( ( mem @ V4172l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V4173e1: $i] :
% 5.55/5.84 ( ( mem @ V4173e1 @ A_27a )
% 5.55/5.84 & ? [V4174e2: $i] :
% 5.55/5.84 ( ( mem @ V4174e2 @ A_27a )
% 5.55/5.84 & ? [V4175e3: $i] :
% 5.55/5.84 ( ( mem @ V4175e3 @ A_27a )
% 5.55/5.84 & ? [V4176e4: $i] :
% 5.55/5.84 ( ( mem @ V4176e4 @ A_27a )
% 5.55/5.84 & ? [V4177e5: $i] :
% 5.55/5.84 ( ( mem @ V4177e5 @ A_27a )
% 5.55/5.84 & ? [V4178e6: $i] :
% 5.55/5.84 ( ( mem @ V4178e6 @ A_27a )
% 5.55/5.84 & ? [V4179e7: $i] :
% 5.55/5.84 ( ( mem @ V4179e7 @ A_27a )
% 5.55/5.84 & ? [V4180e8: $i] :
% 5.55/5.84 ( ( mem @ V4180e8 @ A_27a )
% 5.55/5.84 & ? [V4181e9: $i] :
% 5.55/5.84 ( ( mem @ V4181e9 @ A_27a )
% 5.55/5.84 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4172l_27 ) ) )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4173e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4174e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4175e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4176e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4177e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4178e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4179e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4180e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4181e9 ) @ V4172l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.84 <=> ? [V4182l_27: $i] :
% 5.55/5.84 ( ( mem @ V4182l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V4183e1: $i] :
% 5.55/5.84 ( ( mem @ V4183e1 @ A_27a )
% 5.55/5.84 & ? [V4184e2: $i] :
% 5.55/5.84 ( ( mem @ V4184e2 @ A_27a )
% 5.55/5.84 & ? [V4185e3: $i] :
% 5.55/5.84 ( ( mem @ V4185e3 @ A_27a )
% 5.55/5.84 & ? [V4186e4: $i] :
% 5.55/5.84 ( ( mem @ V4186e4 @ A_27a )
% 5.55/5.84 & ? [V4187e5: $i] :
% 5.55/5.84 ( ( mem @ V4187e5 @ A_27a )
% 5.55/5.84 & ? [V4188e6: $i] :
% 5.55/5.84 ( ( mem @ V4188e6 @ A_27a )
% 5.55/5.84 & ? [V4189e7: $i] :
% 5.55/5.84 ( ( mem @ V4189e7 @ A_27a )
% 5.55/5.84 & ? [V4190e8: $i] :
% 5.55/5.84 ( ( mem @ V4190e8 @ A_27a )
% 5.55/5.84 & ? [V4191e9: $i] :
% 5.55/5.84 ( ( mem @ V4191e9 @ A_27a )
% 5.55/5.84 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4182l_27 ) ) )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4183e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4184e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4185e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4186e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4187e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4188e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4189e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4190e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4191e9 ) @ V4182l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.84 <=> ? [V4192l_27: $i] :
% 5.55/5.84 ( ( mem @ V4192l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V4193e1: $i] :
% 5.55/5.84 ( ( mem @ V4193e1 @ A_27a )
% 5.55/5.84 & ? [V4194e2: $i] :
% 5.55/5.84 ( ( mem @ V4194e2 @ A_27a )
% 5.55/5.84 & ? [V4195e3: $i] :
% 5.55/5.84 ( ( mem @ V4195e3 @ A_27a )
% 5.55/5.84 & ? [V4196e4: $i] :
% 5.55/5.84 ( ( mem @ V4196e4 @ A_27a )
% 5.55/5.84 & ? [V4197e5: $i] :
% 5.55/5.84 ( ( mem @ V4197e5 @ A_27a )
% 5.55/5.84 & ? [V4198e6: $i] :
% 5.55/5.84 ( ( mem @ V4198e6 @ A_27a )
% 5.55/5.84 & ? [V4199e7: $i] :
% 5.55/5.84 ( ( mem @ V4199e7 @ A_27a )
% 5.55/5.84 & ? [V4200e8: $i] :
% 5.55/5.84 ( ( mem @ V4200e8 @ A_27a )
% 5.55/5.84 & ? [V4201e9: $i] :
% 5.55/5.84 ( ( mem @ V4201e9 @ A_27a )
% 5.55/5.84 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4192l_27 ) ) )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4193e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4194e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4195e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4196e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4197e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4198e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4199e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4200e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4201e9 ) @ V4192l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.84 <=> ? [V4202l_27: $i] :
% 5.55/5.84 ( ( mem @ V4202l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V4203e1: $i] :
% 5.55/5.84 ( ( mem @ V4203e1 @ A_27a )
% 5.55/5.84 & ? [V4204e2: $i] :
% 5.55/5.84 ( ( mem @ V4204e2 @ A_27a )
% 5.55/5.84 & ? [V4205e3: $i] :
% 5.55/5.84 ( ( mem @ V4205e3 @ A_27a )
% 5.55/5.84 & ? [V4206e4: $i] :
% 5.55/5.84 ( ( mem @ V4206e4 @ A_27a )
% 5.55/5.84 & ? [V4207e5: $i] :
% 5.55/5.84 ( ( mem @ V4207e5 @ A_27a )
% 5.55/5.84 & ? [V4208e6: $i] :
% 5.55/5.84 ( ( mem @ V4208e6 @ A_27a )
% 5.55/5.84 & ? [V4209e7: $i] :
% 5.55/5.84 ( ( mem @ V4209e7 @ A_27a )
% 5.55/5.84 & ? [V4210e8: $i] :
% 5.55/5.84 ( ( mem @ V4210e8 @ A_27a )
% 5.55/5.84 & ? [V4211e9: $i] :
% 5.55/5.84 ( ( mem @ V4211e9 @ A_27a )
% 5.55/5.84 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4202l_27 ) ) )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4203e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4204e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4205e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4206e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4207e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4208e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4209e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4210e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4211e9 ) @ V4202l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.84 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.84 <=> ? [V4212l_27: $i] :
% 5.55/5.84 ( ( mem @ V4212l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V4213e1: $i] :
% 5.55/5.84 ( ( mem @ V4213e1 @ A_27a )
% 5.55/5.84 & ? [V4214e2: $i] :
% 5.55/5.84 ( ( mem @ V4214e2 @ A_27a )
% 5.55/5.84 & ? [V4215e3: $i] :
% 5.55/5.84 ( ( mem @ V4215e3 @ A_27a )
% 5.55/5.84 & ? [V4216e4: $i] :
% 5.55/5.84 ( ( mem @ V4216e4 @ A_27a )
% 5.55/5.84 & ? [V4217e5: $i] :
% 5.55/5.84 ( ( mem @ V4217e5 @ A_27a )
% 5.55/5.84 & ? [V4218e6: $i] :
% 5.55/5.84 ( ( mem @ V4218e6 @ A_27a )
% 5.55/5.84 & ? [V4219e7: $i] :
% 5.55/5.84 ( ( mem @ V4219e7 @ A_27a )
% 5.55/5.84 & ? [V4220e8: $i] :
% 5.55/5.84 ( ( mem @ V4220e8 @ A_27a )
% 5.55/5.84 & ? [V4221e9: $i] :
% 5.55/5.84 ( ( mem @ V4221e9 @ A_27a )
% 5.55/5.84 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4212l_27 ) )
% 5.55/5.84 = V1x )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4213e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4214e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4215e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4216e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4217e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4218e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4219e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4220e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4221e9 ) @ V4212l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.55/5.84 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.84 <=> ? [V4222l_27: $i] :
% 5.55/5.84 ( ( mem @ V4222l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V4223e1: $i] :
% 5.55/5.84 ( ( mem @ V4223e1 @ A_27a )
% 5.55/5.84 & ? [V4224e2: $i] :
% 5.55/5.84 ( ( mem @ V4224e2 @ A_27a )
% 5.55/5.84 & ? [V4225e3: $i] :
% 5.55/5.84 ( ( mem @ V4225e3 @ A_27a )
% 5.55/5.84 & ? [V4226e4: $i] :
% 5.55/5.84 ( ( mem @ V4226e4 @ A_27a )
% 5.55/5.84 & ? [V4227e5: $i] :
% 5.55/5.84 ( ( mem @ V4227e5 @ A_27a )
% 5.55/5.84 & ? [V4228e6: $i] :
% 5.55/5.84 ( ( mem @ V4228e6 @ A_27a )
% 5.55/5.84 & ? [V4229e7: $i] :
% 5.55/5.84 ( ( mem @ V4229e7 @ A_27a )
% 5.55/5.84 & ? [V4230e8: $i] :
% 5.55/5.84 ( ( mem @ V4230e8 @ A_27a )
% 5.55/5.84 & ? [V4231e9: $i] :
% 5.55/5.84 ( ( mem @ V4231e9 @ A_27a )
% 5.55/5.84 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4222l_27 ) )
% 5.55/5.84 = V1x )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4223e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4224e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4225e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4226e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4227e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4228e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4229e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4230e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4231e9 ) @ V4222l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.84 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.84 <=> ? [V4232l_27: $i] :
% 5.55/5.84 ( ( mem @ V4232l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V4233e1: $i] :
% 5.55/5.84 ( ( mem @ V4233e1 @ A_27a )
% 5.55/5.84 & ? [V4234e2: $i] :
% 5.55/5.84 ( ( mem @ V4234e2 @ A_27a )
% 5.55/5.84 & ? [V4235e3: $i] :
% 5.55/5.84 ( ( mem @ V4235e3 @ A_27a )
% 5.55/5.84 & ? [V4236e4: $i] :
% 5.55/5.84 ( ( mem @ V4236e4 @ A_27a )
% 5.55/5.84 & ? [V4237e5: $i] :
% 5.55/5.84 ( ( mem @ V4237e5 @ A_27a )
% 5.55/5.84 & ? [V4238e6: $i] :
% 5.55/5.84 ( ( mem @ V4238e6 @ A_27a )
% 5.55/5.84 & ? [V4239e7: $i] :
% 5.55/5.84 ( ( mem @ V4239e7 @ A_27a )
% 5.55/5.84 & ? [V4240e8: $i] :
% 5.55/5.84 ( ( mem @ V4240e8 @ A_27a )
% 5.55/5.84 & ? [V4241e9: $i] :
% 5.55/5.84 ( ( mem @ V4241e9 @ A_27a )
% 5.55/5.84 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4232l_27 ) )
% 5.55/5.84 = V1x )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4233e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4234e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4235e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4236e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4237e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4238e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4239e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4240e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4241e9 ) @ V4232l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.84 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.84 <=> ? [V4242l_27: $i] :
% 5.55/5.84 ( ( mem @ V4242l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V4243e1: $i] :
% 5.55/5.84 ( ( mem @ V4243e1 @ A_27a )
% 5.55/5.84 & ? [V4244e2: $i] :
% 5.55/5.84 ( ( mem @ V4244e2 @ A_27a )
% 5.55/5.84 & ? [V4245e3: $i] :
% 5.55/5.84 ( ( mem @ V4245e3 @ A_27a )
% 5.55/5.84 & ? [V4246e4: $i] :
% 5.55/5.84 ( ( mem @ V4246e4 @ A_27a )
% 5.55/5.84 & ? [V4247e5: $i] :
% 5.55/5.84 ( ( mem @ V4247e5 @ A_27a )
% 5.55/5.84 & ? [V4248e6: $i] :
% 5.55/5.84 ( ( mem @ V4248e6 @ A_27a )
% 5.55/5.84 & ? [V4249e7: $i] :
% 5.55/5.84 ( ( mem @ V4249e7 @ A_27a )
% 5.55/5.84 & ? [V4250e8: $i] :
% 5.55/5.84 ( ( mem @ V4250e8 @ A_27a )
% 5.55/5.84 & ? [V4251e9: $i] :
% 5.55/5.84 ( ( mem @ V4251e9 @ A_27a )
% 5.55/5.84 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4242l_27 ) )
% 5.55/5.84 = V1x )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4243e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4244e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4245e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4246e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4247e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4248e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4249e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4250e8 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4251e9 ) @ V4242l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.84 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.84 <=> ? [V4252e1: $i] :
% 5.55/5.84 ( ( mem @ V4252e1 @ A_27a )
% 5.55/5.84 & ? [V4253e2: $i] :
% 5.55/5.84 ( ( mem @ V4253e2 @ A_27a )
% 5.55/5.84 & ? [V4254e3: $i] :
% 5.55/5.84 ( ( mem @ V4254e3 @ A_27a )
% 5.55/5.84 & ? [V4255e4: $i] :
% 5.55/5.84 ( ( mem @ V4255e4 @ A_27a )
% 5.55/5.84 & ? [V4256e5: $i] :
% 5.55/5.84 ( ( mem @ V4256e5 @ A_27a )
% 5.55/5.84 & ? [V4257e6: $i] :
% 5.55/5.84 ( ( mem @ V4257e6 @ A_27a )
% 5.55/5.84 & ? [V4258e7: $i] :
% 5.55/5.84 ( ( mem @ V4258e7 @ A_27a )
% 5.55/5.84 & ? [V4259e8: $i] :
% 5.55/5.84 ( ( mem @ V4259e8 @ A_27a )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4252e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4253e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4254e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4255e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4256e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4257e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4258e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4259e8 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.84 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.84 <=> ? [V4260e1: $i] :
% 5.55/5.84 ( ( mem @ V4260e1 @ A_27a )
% 5.55/5.84 & ? [V4261e2: $i] :
% 5.55/5.84 ( ( mem @ V4261e2 @ A_27a )
% 5.55/5.84 & ? [V4262e3: $i] :
% 5.55/5.84 ( ( mem @ V4262e3 @ A_27a )
% 5.55/5.84 & ? [V4263e4: $i] :
% 5.55/5.84 ( ( mem @ V4263e4 @ A_27a )
% 5.55/5.84 & ? [V4264e5: $i] :
% 5.55/5.84 ( ( mem @ V4264e5 @ A_27a )
% 5.55/5.84 & ? [V4265e6: $i] :
% 5.55/5.84 ( ( mem @ V4265e6 @ A_27a )
% 5.55/5.84 & ? [V4266e7: $i] :
% 5.55/5.84 ( ( mem @ V4266e7 @ A_27a )
% 5.55/5.84 & ? [V4267e8: $i] :
% 5.55/5.84 ( ( mem @ V4267e8 @ A_27a )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4260e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4261e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4262e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4263e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4264e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4265e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4266e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4267e8 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.84 <=> ? [V4268l_27: $i] :
% 5.55/5.84 ( ( mem @ V4268l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V4269e1: $i] :
% 5.55/5.84 ( ( mem @ V4269e1 @ A_27a )
% 5.55/5.84 & ? [V4270e2: $i] :
% 5.55/5.84 ( ( mem @ V4270e2 @ A_27a )
% 5.55/5.84 & ? [V4271e3: $i] :
% 5.55/5.84 ( ( mem @ V4271e3 @ A_27a )
% 5.55/5.84 & ? [V4272e4: $i] :
% 5.55/5.84 ( ( mem @ V4272e4 @ A_27a )
% 5.55/5.84 & ? [V4273e5: $i] :
% 5.55/5.84 ( ( mem @ V4273e5 @ A_27a )
% 5.55/5.84 & ? [V4274e6: $i] :
% 5.55/5.84 ( ( mem @ V4274e6 @ A_27a )
% 5.55/5.84 & ? [V4275e7: $i] :
% 5.55/5.84 ( ( mem @ V4275e7 @ A_27a )
% 5.55/5.84 & ? [V4276e8: $i] :
% 5.55/5.84 ( ( mem @ V4276e8 @ A_27a )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4269e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4270e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4271e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4272e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4273e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4274e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4275e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4276e8 ) @ V4268l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.84 <=> ? [V4277l_27: $i] :
% 5.55/5.84 ( ( mem @ V4277l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V4278e1: $i] :
% 5.55/5.84 ( ( mem @ V4278e1 @ A_27a )
% 5.55/5.84 & ? [V4279e2: $i] :
% 5.55/5.84 ( ( mem @ V4279e2 @ A_27a )
% 5.55/5.84 & ? [V4280e3: $i] :
% 5.55/5.84 ( ( mem @ V4280e3 @ A_27a )
% 5.55/5.84 & ? [V4281e4: $i] :
% 5.55/5.84 ( ( mem @ V4281e4 @ A_27a )
% 5.55/5.84 & ? [V4282e5: $i] :
% 5.55/5.84 ( ( mem @ V4282e5 @ A_27a )
% 5.55/5.84 & ? [V4283e6: $i] :
% 5.55/5.84 ( ( mem @ V4283e6 @ A_27a )
% 5.55/5.84 & ? [V4284e7: $i] :
% 5.55/5.84 ( ( mem @ V4284e7 @ A_27a )
% 5.55/5.84 & ? [V4285e8: $i] :
% 5.55/5.84 ( ( mem @ V4285e8 @ A_27a )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4278e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4279e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4280e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4281e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4282e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4283e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4284e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4285e8 ) @ V4277l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.84 <=> ? [V4286l_27: $i] :
% 5.55/5.84 ( ( mem @ V4286l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V4287e1: $i] :
% 5.55/5.84 ( ( mem @ V4287e1 @ A_27a )
% 5.55/5.84 & ? [V4288e2: $i] :
% 5.55/5.84 ( ( mem @ V4288e2 @ A_27a )
% 5.55/5.84 & ? [V4289e3: $i] :
% 5.55/5.84 ( ( mem @ V4289e3 @ A_27a )
% 5.55/5.84 & ? [V4290e4: $i] :
% 5.55/5.84 ( ( mem @ V4290e4 @ A_27a )
% 5.55/5.84 & ? [V4291e5: $i] :
% 5.55/5.84 ( ( mem @ V4291e5 @ A_27a )
% 5.55/5.84 & ? [V4292e6: $i] :
% 5.55/5.84 ( ( mem @ V4292e6 @ A_27a )
% 5.55/5.84 & ? [V4293e7: $i] :
% 5.55/5.84 ( ( mem @ V4293e7 @ A_27a )
% 5.55/5.84 & ? [V4294e8: $i] :
% 5.55/5.84 ( ( mem @ V4294e8 @ A_27a )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4287e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4288e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4289e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4290e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4291e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4292e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4293e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4294e8 ) @ V4286l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.84 <=> ? [V4295l_27: $i] :
% 5.55/5.84 ( ( mem @ V4295l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V4296e1: $i] :
% 5.55/5.84 ( ( mem @ V4296e1 @ A_27a )
% 5.55/5.84 & ? [V4297e2: $i] :
% 5.55/5.84 ( ( mem @ V4297e2 @ A_27a )
% 5.55/5.84 & ? [V4298e3: $i] :
% 5.55/5.84 ( ( mem @ V4298e3 @ A_27a )
% 5.55/5.84 & ? [V4299e4: $i] :
% 5.55/5.84 ( ( mem @ V4299e4 @ A_27a )
% 5.55/5.84 & ? [V4300e5: $i] :
% 5.55/5.84 ( ( mem @ V4300e5 @ A_27a )
% 5.55/5.84 & ? [V4301e6: $i] :
% 5.55/5.84 ( ( mem @ V4301e6 @ A_27a )
% 5.55/5.84 & ? [V4302e7: $i] :
% 5.55/5.84 ( ( mem @ V4302e7 @ A_27a )
% 5.55/5.84 & ? [V4303e8: $i] :
% 5.55/5.84 ( ( mem @ V4303e8 @ A_27a )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4296e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4297e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4298e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4299e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4300e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4301e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4302e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4303e8 ) @ V4295l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.84 <=> ? [V4304l_27: $i] :
% 5.55/5.84 ( ( mem @ V4304l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V4305e1: $i] :
% 5.55/5.84 ( ( mem @ V4305e1 @ A_27a )
% 5.55/5.84 & ? [V4306e2: $i] :
% 5.55/5.84 ( ( mem @ V4306e2 @ A_27a )
% 5.55/5.84 & ? [V4307e3: $i] :
% 5.55/5.84 ( ( mem @ V4307e3 @ A_27a )
% 5.55/5.84 & ? [V4308e4: $i] :
% 5.55/5.84 ( ( mem @ V4308e4 @ A_27a )
% 5.55/5.84 & ? [V4309e5: $i] :
% 5.55/5.84 ( ( mem @ V4309e5 @ A_27a )
% 5.55/5.84 & ? [V4310e6: $i] :
% 5.55/5.84 ( ( mem @ V4310e6 @ A_27a )
% 5.55/5.84 & ? [V4311e7: $i] :
% 5.55/5.84 ( ( mem @ V4311e7 @ A_27a )
% 5.55/5.84 & ? [V4312e8: $i] :
% 5.55/5.84 ( ( mem @ V4312e8 @ A_27a )
% 5.55/5.84 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4304l_27 ) ) )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4305e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4306e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4307e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4308e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4309e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4310e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4311e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4312e8 ) @ V4304l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.84 <=> ? [V4313l_27: $i] :
% 5.55/5.84 ( ( mem @ V4313l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V4314e1: $i] :
% 5.55/5.84 ( ( mem @ V4314e1 @ A_27a )
% 5.55/5.84 & ? [V4315e2: $i] :
% 5.55/5.84 ( ( mem @ V4315e2 @ A_27a )
% 5.55/5.84 & ? [V4316e3: $i] :
% 5.55/5.84 ( ( mem @ V4316e3 @ A_27a )
% 5.55/5.84 & ? [V4317e4: $i] :
% 5.55/5.84 ( ( mem @ V4317e4 @ A_27a )
% 5.55/5.84 & ? [V4318e5: $i] :
% 5.55/5.84 ( ( mem @ V4318e5 @ A_27a )
% 5.55/5.84 & ? [V4319e6: $i] :
% 5.55/5.84 ( ( mem @ V4319e6 @ A_27a )
% 5.55/5.84 & ? [V4320e7: $i] :
% 5.55/5.84 ( ( mem @ V4320e7 @ A_27a )
% 5.55/5.84 & ? [V4321e8: $i] :
% 5.55/5.84 ( ( mem @ V4321e8 @ A_27a )
% 5.55/5.84 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4313l_27 ) ) )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4314e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4315e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4316e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4317e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4318e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4319e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4320e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4321e8 ) @ V4313l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.84 <=> ? [V4322l_27: $i] :
% 5.55/5.84 ( ( mem @ V4322l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V4323e1: $i] :
% 5.55/5.84 ( ( mem @ V4323e1 @ A_27a )
% 5.55/5.84 & ? [V4324e2: $i] :
% 5.55/5.84 ( ( mem @ V4324e2 @ A_27a )
% 5.55/5.84 & ? [V4325e3: $i] :
% 5.55/5.84 ( ( mem @ V4325e3 @ A_27a )
% 5.55/5.84 & ? [V4326e4: $i] :
% 5.55/5.84 ( ( mem @ V4326e4 @ A_27a )
% 5.55/5.84 & ? [V4327e5: $i] :
% 5.55/5.84 ( ( mem @ V4327e5 @ A_27a )
% 5.55/5.84 & ? [V4328e6: $i] :
% 5.55/5.84 ( ( mem @ V4328e6 @ A_27a )
% 5.55/5.84 & ? [V4329e7: $i] :
% 5.55/5.84 ( ( mem @ V4329e7 @ A_27a )
% 5.55/5.84 & ? [V4330e8: $i] :
% 5.55/5.84 ( ( mem @ V4330e8 @ A_27a )
% 5.55/5.84 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4322l_27 ) ) )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4323e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4324e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4325e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4326e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4327e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4328e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4329e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4330e8 ) @ V4322l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.84 <=> ? [V4331l_27: $i] :
% 5.55/5.84 ( ( mem @ V4331l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V4332e1: $i] :
% 5.55/5.84 ( ( mem @ V4332e1 @ A_27a )
% 5.55/5.84 & ? [V4333e2: $i] :
% 5.55/5.84 ( ( mem @ V4333e2 @ A_27a )
% 5.55/5.84 & ? [V4334e3: $i] :
% 5.55/5.84 ( ( mem @ V4334e3 @ A_27a )
% 5.55/5.84 & ? [V4335e4: $i] :
% 5.55/5.84 ( ( mem @ V4335e4 @ A_27a )
% 5.55/5.84 & ? [V4336e5: $i] :
% 5.55/5.84 ( ( mem @ V4336e5 @ A_27a )
% 5.55/5.84 & ? [V4337e6: $i] :
% 5.55/5.84 ( ( mem @ V4337e6 @ A_27a )
% 5.55/5.84 & ? [V4338e7: $i] :
% 5.55/5.84 ( ( mem @ V4338e7 @ A_27a )
% 5.55/5.84 & ? [V4339e8: $i] :
% 5.55/5.84 ( ( mem @ V4339e8 @ A_27a )
% 5.55/5.84 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4331l_27 ) ) )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4332e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4333e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4334e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4335e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4336e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4337e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4338e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4339e8 ) @ V4331l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.84 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.84 <=> ? [V4340l_27: $i] :
% 5.55/5.84 ( ( mem @ V4340l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V4341e1: $i] :
% 5.55/5.84 ( ( mem @ V4341e1 @ A_27a )
% 5.55/5.84 & ? [V4342e2: $i] :
% 5.55/5.84 ( ( mem @ V4342e2 @ A_27a )
% 5.55/5.84 & ? [V4343e3: $i] :
% 5.55/5.84 ( ( mem @ V4343e3 @ A_27a )
% 5.55/5.84 & ? [V4344e4: $i] :
% 5.55/5.84 ( ( mem @ V4344e4 @ A_27a )
% 5.55/5.84 & ? [V4345e5: $i] :
% 5.55/5.84 ( ( mem @ V4345e5 @ A_27a )
% 5.55/5.84 & ? [V4346e6: $i] :
% 5.55/5.84 ( ( mem @ V4346e6 @ A_27a )
% 5.55/5.84 & ? [V4347e7: $i] :
% 5.55/5.84 ( ( mem @ V4347e7 @ A_27a )
% 5.55/5.84 & ? [V4348e8: $i] :
% 5.55/5.84 ( ( mem @ V4348e8 @ A_27a )
% 5.55/5.84 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4340l_27 ) )
% 5.55/5.84 = V1x )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4341e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4342e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4343e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4344e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4345e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4346e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4347e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4348e8 ) @ V4340l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.55/5.84 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.84 <=> ? [V4349l_27: $i] :
% 5.55/5.84 ( ( mem @ V4349l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V4350e1: $i] :
% 5.55/5.84 ( ( mem @ V4350e1 @ A_27a )
% 5.55/5.84 & ? [V4351e2: $i] :
% 5.55/5.84 ( ( mem @ V4351e2 @ A_27a )
% 5.55/5.84 & ? [V4352e3: $i] :
% 5.55/5.84 ( ( mem @ V4352e3 @ A_27a )
% 5.55/5.84 & ? [V4353e4: $i] :
% 5.55/5.84 ( ( mem @ V4353e4 @ A_27a )
% 5.55/5.84 & ? [V4354e5: $i] :
% 5.55/5.84 ( ( mem @ V4354e5 @ A_27a )
% 5.55/5.84 & ? [V4355e6: $i] :
% 5.55/5.84 ( ( mem @ V4355e6 @ A_27a )
% 5.55/5.84 & ? [V4356e7: $i] :
% 5.55/5.84 ( ( mem @ V4356e7 @ A_27a )
% 5.55/5.84 & ? [V4357e8: $i] :
% 5.55/5.84 ( ( mem @ V4357e8 @ A_27a )
% 5.55/5.84 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4349l_27 ) )
% 5.55/5.84 = V1x )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4350e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4351e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4352e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4353e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4354e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4355e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4356e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4357e8 ) @ V4349l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.84 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.84 <=> ? [V4358l_27: $i] :
% 5.55/5.84 ( ( mem @ V4358l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V4359e1: $i] :
% 5.55/5.84 ( ( mem @ V4359e1 @ A_27a )
% 5.55/5.84 & ? [V4360e2: $i] :
% 5.55/5.84 ( ( mem @ V4360e2 @ A_27a )
% 5.55/5.84 & ? [V4361e3: $i] :
% 5.55/5.84 ( ( mem @ V4361e3 @ A_27a )
% 5.55/5.84 & ? [V4362e4: $i] :
% 5.55/5.84 ( ( mem @ V4362e4 @ A_27a )
% 5.55/5.84 & ? [V4363e5: $i] :
% 5.55/5.84 ( ( mem @ V4363e5 @ A_27a )
% 5.55/5.84 & ? [V4364e6: $i] :
% 5.55/5.84 ( ( mem @ V4364e6 @ A_27a )
% 5.55/5.84 & ? [V4365e7: $i] :
% 5.55/5.84 ( ( mem @ V4365e7 @ A_27a )
% 5.55/5.84 & ? [V4366e8: $i] :
% 5.55/5.84 ( ( mem @ V4366e8 @ A_27a )
% 5.55/5.84 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4358l_27 ) )
% 5.55/5.84 = V1x )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4359e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4360e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4361e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4362e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4363e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4364e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4365e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4366e8 ) @ V4358l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.84 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.84 <=> ? [V4367l_27: $i] :
% 5.55/5.84 ( ( mem @ V4367l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V4368e1: $i] :
% 5.55/5.84 ( ( mem @ V4368e1 @ A_27a )
% 5.55/5.84 & ? [V4369e2: $i] :
% 5.55/5.84 ( ( mem @ V4369e2 @ A_27a )
% 5.55/5.84 & ? [V4370e3: $i] :
% 5.55/5.84 ( ( mem @ V4370e3 @ A_27a )
% 5.55/5.84 & ? [V4371e4: $i] :
% 5.55/5.84 ( ( mem @ V4371e4 @ A_27a )
% 5.55/5.84 & ? [V4372e5: $i] :
% 5.55/5.84 ( ( mem @ V4372e5 @ A_27a )
% 5.55/5.84 & ? [V4373e6: $i] :
% 5.55/5.84 ( ( mem @ V4373e6 @ A_27a )
% 5.55/5.84 & ? [V4374e7: $i] :
% 5.55/5.84 ( ( mem @ V4374e7 @ A_27a )
% 5.55/5.84 & ? [V4375e8: $i] :
% 5.55/5.84 ( ( mem @ V4375e8 @ A_27a )
% 5.55/5.84 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4367l_27 ) )
% 5.55/5.84 = V1x )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4368e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4369e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4370e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4371e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4372e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4373e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4374e7 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4375e8 ) @ V4367l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.84 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.84 <=> ? [V4376e1: $i] :
% 5.55/5.84 ( ( mem @ V4376e1 @ A_27a )
% 5.55/5.84 & ? [V4377e2: $i] :
% 5.55/5.84 ( ( mem @ V4377e2 @ A_27a )
% 5.55/5.84 & ? [V4378e3: $i] :
% 5.55/5.84 ( ( mem @ V4378e3 @ A_27a )
% 5.55/5.84 & ? [V4379e4: $i] :
% 5.55/5.84 ( ( mem @ V4379e4 @ A_27a )
% 5.55/5.84 & ? [V4380e5: $i] :
% 5.55/5.84 ( ( mem @ V4380e5 @ A_27a )
% 5.55/5.84 & ? [V4381e6: $i] :
% 5.55/5.84 ( ( mem @ V4381e6 @ A_27a )
% 5.55/5.84 & ? [V4382e7: $i] :
% 5.55/5.84 ( ( mem @ V4382e7 @ A_27a )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4376e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4377e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4378e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4379e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4380e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4381e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4382e7 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.84 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.84 <=> ? [V4383e1: $i] :
% 5.55/5.84 ( ( mem @ V4383e1 @ A_27a )
% 5.55/5.84 & ? [V4384e2: $i] :
% 5.55/5.84 ( ( mem @ V4384e2 @ A_27a )
% 5.55/5.84 & ? [V4385e3: $i] :
% 5.55/5.84 ( ( mem @ V4385e3 @ A_27a )
% 5.55/5.84 & ? [V4386e4: $i] :
% 5.55/5.84 ( ( mem @ V4386e4 @ A_27a )
% 5.55/5.84 & ? [V4387e5: $i] :
% 5.55/5.84 ( ( mem @ V4387e5 @ A_27a )
% 5.55/5.84 & ? [V4388e6: $i] :
% 5.55/5.84 ( ( mem @ V4388e6 @ A_27a )
% 5.55/5.84 & ? [V4389e7: $i] :
% 5.55/5.84 ( ( mem @ V4389e7 @ A_27a )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4383e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4384e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4385e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4386e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4387e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4388e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4389e7 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.84 <=> ? [V4390l_27: $i] :
% 5.55/5.84 ( ( mem @ V4390l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V4391e1: $i] :
% 5.55/5.84 ( ( mem @ V4391e1 @ A_27a )
% 5.55/5.84 & ? [V4392e2: $i] :
% 5.55/5.84 ( ( mem @ V4392e2 @ A_27a )
% 5.55/5.84 & ? [V4393e3: $i] :
% 5.55/5.84 ( ( mem @ V4393e3 @ A_27a )
% 5.55/5.84 & ? [V4394e4: $i] :
% 5.55/5.84 ( ( mem @ V4394e4 @ A_27a )
% 5.55/5.84 & ? [V4395e5: $i] :
% 5.55/5.84 ( ( mem @ V4395e5 @ A_27a )
% 5.55/5.84 & ? [V4396e6: $i] :
% 5.55/5.84 ( ( mem @ V4396e6 @ A_27a )
% 5.55/5.84 & ? [V4397e7: $i] :
% 5.55/5.84 ( ( mem @ V4397e7 @ A_27a )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4391e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4392e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4393e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4394e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4395e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4396e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4397e7 ) @ V4390l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.84 <=> ? [V4398l_27: $i] :
% 5.55/5.84 ( ( mem @ V4398l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V4399e1: $i] :
% 5.55/5.84 ( ( mem @ V4399e1 @ A_27a )
% 5.55/5.84 & ? [V4400e2: $i] :
% 5.55/5.84 ( ( mem @ V4400e2 @ A_27a )
% 5.55/5.84 & ? [V4401e3: $i] :
% 5.55/5.84 ( ( mem @ V4401e3 @ A_27a )
% 5.55/5.84 & ? [V4402e4: $i] :
% 5.55/5.84 ( ( mem @ V4402e4 @ A_27a )
% 5.55/5.84 & ? [V4403e5: $i] :
% 5.55/5.84 ( ( mem @ V4403e5 @ A_27a )
% 5.55/5.84 & ? [V4404e6: $i] :
% 5.55/5.84 ( ( mem @ V4404e6 @ A_27a )
% 5.55/5.84 & ? [V4405e7: $i] :
% 5.55/5.84 ( ( mem @ V4405e7 @ A_27a )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4399e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4400e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4401e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4402e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4403e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4404e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4405e7 ) @ V4398l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.84 <=> ? [V4406l_27: $i] :
% 5.55/5.84 ( ( mem @ V4406l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V4407e1: $i] :
% 5.55/5.84 ( ( mem @ V4407e1 @ A_27a )
% 5.55/5.84 & ? [V4408e2: $i] :
% 5.55/5.84 ( ( mem @ V4408e2 @ A_27a )
% 5.55/5.84 & ? [V4409e3: $i] :
% 5.55/5.84 ( ( mem @ V4409e3 @ A_27a )
% 5.55/5.84 & ? [V4410e4: $i] :
% 5.55/5.84 ( ( mem @ V4410e4 @ A_27a )
% 5.55/5.84 & ? [V4411e5: $i] :
% 5.55/5.84 ( ( mem @ V4411e5 @ A_27a )
% 5.55/5.84 & ? [V4412e6: $i] :
% 5.55/5.84 ( ( mem @ V4412e6 @ A_27a )
% 5.55/5.84 & ? [V4413e7: $i] :
% 5.55/5.84 ( ( mem @ V4413e7 @ A_27a )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4407e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4408e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4409e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4410e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4411e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4412e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4413e7 ) @ V4406l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.84 <=> ? [V4414l_27: $i] :
% 5.55/5.84 ( ( mem @ V4414l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V4415e1: $i] :
% 5.55/5.84 ( ( mem @ V4415e1 @ A_27a )
% 5.55/5.84 & ? [V4416e2: $i] :
% 5.55/5.84 ( ( mem @ V4416e2 @ A_27a )
% 5.55/5.84 & ? [V4417e3: $i] :
% 5.55/5.84 ( ( mem @ V4417e3 @ A_27a )
% 5.55/5.84 & ? [V4418e4: $i] :
% 5.55/5.84 ( ( mem @ V4418e4 @ A_27a )
% 5.55/5.84 & ? [V4419e5: $i] :
% 5.55/5.84 ( ( mem @ V4419e5 @ A_27a )
% 5.55/5.84 & ? [V4420e6: $i] :
% 5.55/5.84 ( ( mem @ V4420e6 @ A_27a )
% 5.55/5.84 & ? [V4421e7: $i] :
% 5.55/5.84 ( ( mem @ V4421e7 @ A_27a )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4415e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4416e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4417e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4418e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4419e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4420e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4421e7 ) @ V4414l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.84 <=> ? [V4422l_27: $i] :
% 5.55/5.84 ( ( mem @ V4422l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V4423e1: $i] :
% 5.55/5.84 ( ( mem @ V4423e1 @ A_27a )
% 5.55/5.84 & ? [V4424e2: $i] :
% 5.55/5.84 ( ( mem @ V4424e2 @ A_27a )
% 5.55/5.84 & ? [V4425e3: $i] :
% 5.55/5.84 ( ( mem @ V4425e3 @ A_27a )
% 5.55/5.84 & ? [V4426e4: $i] :
% 5.55/5.84 ( ( mem @ V4426e4 @ A_27a )
% 5.55/5.84 & ? [V4427e5: $i] :
% 5.55/5.84 ( ( mem @ V4427e5 @ A_27a )
% 5.55/5.84 & ? [V4428e6: $i] :
% 5.55/5.84 ( ( mem @ V4428e6 @ A_27a )
% 5.55/5.84 & ? [V4429e7: $i] :
% 5.55/5.84 ( ( mem @ V4429e7 @ A_27a )
% 5.55/5.84 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4422l_27 ) ) )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4423e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4424e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4425e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4426e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4427e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4428e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4429e7 ) @ V4422l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.84 <=> ? [V4430l_27: $i] :
% 5.55/5.84 ( ( mem @ V4430l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V4431e1: $i] :
% 5.55/5.84 ( ( mem @ V4431e1 @ A_27a )
% 5.55/5.84 & ? [V4432e2: $i] :
% 5.55/5.84 ( ( mem @ V4432e2 @ A_27a )
% 5.55/5.84 & ? [V4433e3: $i] :
% 5.55/5.84 ( ( mem @ V4433e3 @ A_27a )
% 5.55/5.84 & ? [V4434e4: $i] :
% 5.55/5.84 ( ( mem @ V4434e4 @ A_27a )
% 5.55/5.84 & ? [V4435e5: $i] :
% 5.55/5.84 ( ( mem @ V4435e5 @ A_27a )
% 5.55/5.84 & ? [V4436e6: $i] :
% 5.55/5.84 ( ( mem @ V4436e6 @ A_27a )
% 5.55/5.84 & ? [V4437e7: $i] :
% 5.55/5.84 ( ( mem @ V4437e7 @ A_27a )
% 5.55/5.84 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4430l_27 ) ) )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4431e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4432e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4433e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4434e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4435e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4436e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4437e7 ) @ V4430l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.84 <=> ? [V4438l_27: $i] :
% 5.55/5.84 ( ( mem @ V4438l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V4439e1: $i] :
% 5.55/5.84 ( ( mem @ V4439e1 @ A_27a )
% 5.55/5.84 & ? [V4440e2: $i] :
% 5.55/5.84 ( ( mem @ V4440e2 @ A_27a )
% 5.55/5.84 & ? [V4441e3: $i] :
% 5.55/5.84 ( ( mem @ V4441e3 @ A_27a )
% 5.55/5.84 & ? [V4442e4: $i] :
% 5.55/5.84 ( ( mem @ V4442e4 @ A_27a )
% 5.55/5.84 & ? [V4443e5: $i] :
% 5.55/5.84 ( ( mem @ V4443e5 @ A_27a )
% 5.55/5.84 & ? [V4444e6: $i] :
% 5.55/5.84 ( ( mem @ V4444e6 @ A_27a )
% 5.55/5.84 & ? [V4445e7: $i] :
% 5.55/5.84 ( ( mem @ V4445e7 @ A_27a )
% 5.55/5.84 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4438l_27 ) ) )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4439e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4440e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4441e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4442e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4443e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4444e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4445e7 ) @ V4438l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.84 <=> ? [V4446l_27: $i] :
% 5.55/5.84 ( ( mem @ V4446l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V4447e1: $i] :
% 5.55/5.84 ( ( mem @ V4447e1 @ A_27a )
% 5.55/5.84 & ? [V4448e2: $i] :
% 5.55/5.84 ( ( mem @ V4448e2 @ A_27a )
% 5.55/5.84 & ? [V4449e3: $i] :
% 5.55/5.84 ( ( mem @ V4449e3 @ A_27a )
% 5.55/5.84 & ? [V4450e4: $i] :
% 5.55/5.84 ( ( mem @ V4450e4 @ A_27a )
% 5.55/5.84 & ? [V4451e5: $i] :
% 5.55/5.84 ( ( mem @ V4451e5 @ A_27a )
% 5.55/5.84 & ? [V4452e6: $i] :
% 5.55/5.84 ( ( mem @ V4452e6 @ A_27a )
% 5.55/5.84 & ? [V4453e7: $i] :
% 5.55/5.84 ( ( mem @ V4453e7 @ A_27a )
% 5.55/5.84 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4446l_27 ) ) )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4447e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4448e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4449e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4450e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4451e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4452e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4453e7 ) @ V4446l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.84 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.84 <=> ? [V4454l_27: $i] :
% 5.55/5.84 ( ( mem @ V4454l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V4455e1: $i] :
% 5.55/5.84 ( ( mem @ V4455e1 @ A_27a )
% 5.55/5.84 & ? [V4456e2: $i] :
% 5.55/5.84 ( ( mem @ V4456e2 @ A_27a )
% 5.55/5.84 & ? [V4457e3: $i] :
% 5.55/5.84 ( ( mem @ V4457e3 @ A_27a )
% 5.55/5.84 & ? [V4458e4: $i] :
% 5.55/5.84 ( ( mem @ V4458e4 @ A_27a )
% 5.55/5.84 & ? [V4459e5: $i] :
% 5.55/5.84 ( ( mem @ V4459e5 @ A_27a )
% 5.55/5.84 & ? [V4460e6: $i] :
% 5.55/5.84 ( ( mem @ V4460e6 @ A_27a )
% 5.55/5.84 & ? [V4461e7: $i] :
% 5.55/5.84 ( ( mem @ V4461e7 @ A_27a )
% 5.55/5.84 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4454l_27 ) )
% 5.55/5.84 = V1x )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4455e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4456e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4457e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4458e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4459e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4460e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4461e7 ) @ V4454l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.55/5.84 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.84 <=> ? [V4462l_27: $i] :
% 5.55/5.84 ( ( mem @ V4462l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V4463e1: $i] :
% 5.55/5.84 ( ( mem @ V4463e1 @ A_27a )
% 5.55/5.84 & ? [V4464e2: $i] :
% 5.55/5.84 ( ( mem @ V4464e2 @ A_27a )
% 5.55/5.84 & ? [V4465e3: $i] :
% 5.55/5.84 ( ( mem @ V4465e3 @ A_27a )
% 5.55/5.84 & ? [V4466e4: $i] :
% 5.55/5.84 ( ( mem @ V4466e4 @ A_27a )
% 5.55/5.84 & ? [V4467e5: $i] :
% 5.55/5.84 ( ( mem @ V4467e5 @ A_27a )
% 5.55/5.84 & ? [V4468e6: $i] :
% 5.55/5.84 ( ( mem @ V4468e6 @ A_27a )
% 5.55/5.84 & ? [V4469e7: $i] :
% 5.55/5.84 ( ( mem @ V4469e7 @ A_27a )
% 5.55/5.84 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4462l_27 ) )
% 5.55/5.84 = V1x )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4463e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4464e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4465e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4466e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4467e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4468e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4469e7 ) @ V4462l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.84 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.84 <=> ? [V4470l_27: $i] :
% 5.55/5.84 ( ( mem @ V4470l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V4471e1: $i] :
% 5.55/5.84 ( ( mem @ V4471e1 @ A_27a )
% 5.55/5.84 & ? [V4472e2: $i] :
% 5.55/5.84 ( ( mem @ V4472e2 @ A_27a )
% 5.55/5.84 & ? [V4473e3: $i] :
% 5.55/5.84 ( ( mem @ V4473e3 @ A_27a )
% 5.55/5.84 & ? [V4474e4: $i] :
% 5.55/5.84 ( ( mem @ V4474e4 @ A_27a )
% 5.55/5.84 & ? [V4475e5: $i] :
% 5.55/5.84 ( ( mem @ V4475e5 @ A_27a )
% 5.55/5.84 & ? [V4476e6: $i] :
% 5.55/5.84 ( ( mem @ V4476e6 @ A_27a )
% 5.55/5.84 & ? [V4477e7: $i] :
% 5.55/5.84 ( ( mem @ V4477e7 @ A_27a )
% 5.55/5.84 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4470l_27 ) )
% 5.55/5.84 = V1x )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4471e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4472e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4473e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4474e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4475e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4476e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4477e7 ) @ V4470l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.84 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.84 <=> ? [V4478l_27: $i] :
% 5.55/5.84 ( ( mem @ V4478l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V4479e1: $i] :
% 5.55/5.84 ( ( mem @ V4479e1 @ A_27a )
% 5.55/5.84 & ? [V4480e2: $i] :
% 5.55/5.84 ( ( mem @ V4480e2 @ A_27a )
% 5.55/5.84 & ? [V4481e3: $i] :
% 5.55/5.84 ( ( mem @ V4481e3 @ A_27a )
% 5.55/5.84 & ? [V4482e4: $i] :
% 5.55/5.84 ( ( mem @ V4482e4 @ A_27a )
% 5.55/5.84 & ? [V4483e5: $i] :
% 5.55/5.84 ( ( mem @ V4483e5 @ A_27a )
% 5.55/5.84 & ? [V4484e6: $i] :
% 5.55/5.84 ( ( mem @ V4484e6 @ A_27a )
% 5.55/5.84 & ? [V4485e7: $i] :
% 5.55/5.84 ( ( mem @ V4485e7 @ A_27a )
% 5.55/5.84 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4478l_27 ) )
% 5.55/5.84 = V1x )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4479e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4480e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4481e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4482e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4483e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4484e6 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4485e7 ) @ V4478l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.84 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.84 <=> ? [V4486e1: $i] :
% 5.55/5.84 ( ( mem @ V4486e1 @ A_27a )
% 5.55/5.84 & ? [V4487e2: $i] :
% 5.55/5.84 ( ( mem @ V4487e2 @ A_27a )
% 5.55/5.84 & ? [V4488e3: $i] :
% 5.55/5.84 ( ( mem @ V4488e3 @ A_27a )
% 5.55/5.84 & ? [V4489e4: $i] :
% 5.55/5.84 ( ( mem @ V4489e4 @ A_27a )
% 5.55/5.84 & ? [V4490e5: $i] :
% 5.55/5.84 ( ( mem @ V4490e5 @ A_27a )
% 5.55/5.84 & ? [V4491e6: $i] :
% 5.55/5.84 ( ( mem @ V4491e6 @ A_27a )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4486e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4487e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4488e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4489e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4490e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4491e6 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.84 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.84 <=> ? [V4492e1: $i] :
% 5.55/5.84 ( ( mem @ V4492e1 @ A_27a )
% 5.55/5.84 & ? [V4493e2: $i] :
% 5.55/5.84 ( ( mem @ V4493e2 @ A_27a )
% 5.55/5.84 & ? [V4494e3: $i] :
% 5.55/5.84 ( ( mem @ V4494e3 @ A_27a )
% 5.55/5.84 & ? [V4495e4: $i] :
% 5.55/5.84 ( ( mem @ V4495e4 @ A_27a )
% 5.55/5.84 & ? [V4496e5: $i] :
% 5.55/5.84 ( ( mem @ V4496e5 @ A_27a )
% 5.55/5.84 & ? [V4497e6: $i] :
% 5.55/5.84 ( ( mem @ V4497e6 @ A_27a )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4492e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4493e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4494e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4495e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4496e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4497e6 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.84 <=> ? [V4498l_27: $i] :
% 5.55/5.84 ( ( mem @ V4498l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V4499e1: $i] :
% 5.55/5.84 ( ( mem @ V4499e1 @ A_27a )
% 5.55/5.84 & ? [V4500e2: $i] :
% 5.55/5.84 ( ( mem @ V4500e2 @ A_27a )
% 5.55/5.84 & ? [V4501e3: $i] :
% 5.55/5.84 ( ( mem @ V4501e3 @ A_27a )
% 5.55/5.84 & ? [V4502e4: $i] :
% 5.55/5.84 ( ( mem @ V4502e4 @ A_27a )
% 5.55/5.84 & ? [V4503e5: $i] :
% 5.55/5.84 ( ( mem @ V4503e5 @ A_27a )
% 5.55/5.84 & ? [V4504e6: $i] :
% 5.55/5.84 ( ( mem @ V4504e6 @ A_27a )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4499e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4500e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4501e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4502e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4503e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4504e6 ) @ V4498l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.84 <=> ? [V4505l_27: $i] :
% 5.55/5.84 ( ( mem @ V4505l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V4506e1: $i] :
% 5.55/5.84 ( ( mem @ V4506e1 @ A_27a )
% 5.55/5.84 & ? [V4507e2: $i] :
% 5.55/5.84 ( ( mem @ V4507e2 @ A_27a )
% 5.55/5.84 & ? [V4508e3: $i] :
% 5.55/5.84 ( ( mem @ V4508e3 @ A_27a )
% 5.55/5.84 & ? [V4509e4: $i] :
% 5.55/5.84 ( ( mem @ V4509e4 @ A_27a )
% 5.55/5.84 & ? [V4510e5: $i] :
% 5.55/5.84 ( ( mem @ V4510e5 @ A_27a )
% 5.55/5.84 & ? [V4511e6: $i] :
% 5.55/5.84 ( ( mem @ V4511e6 @ A_27a )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4506e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4507e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4508e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4509e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4510e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4511e6 ) @ V4505l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.84 <=> ? [V4512l_27: $i] :
% 5.55/5.84 ( ( mem @ V4512l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V4513e1: $i] :
% 5.55/5.84 ( ( mem @ V4513e1 @ A_27a )
% 5.55/5.84 & ? [V4514e2: $i] :
% 5.55/5.84 ( ( mem @ V4514e2 @ A_27a )
% 5.55/5.84 & ? [V4515e3: $i] :
% 5.55/5.84 ( ( mem @ V4515e3 @ A_27a )
% 5.55/5.84 & ? [V4516e4: $i] :
% 5.55/5.84 ( ( mem @ V4516e4 @ A_27a )
% 5.55/5.84 & ? [V4517e5: $i] :
% 5.55/5.84 ( ( mem @ V4517e5 @ A_27a )
% 5.55/5.84 & ? [V4518e6: $i] :
% 5.55/5.84 ( ( mem @ V4518e6 @ A_27a )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4513e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4514e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4515e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4516e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4517e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4518e6 ) @ V4512l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.84 <=> ? [V4519l_27: $i] :
% 5.55/5.84 ( ( mem @ V4519l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V4520e1: $i] :
% 5.55/5.84 ( ( mem @ V4520e1 @ A_27a )
% 5.55/5.84 & ? [V4521e2: $i] :
% 5.55/5.84 ( ( mem @ V4521e2 @ A_27a )
% 5.55/5.84 & ? [V4522e3: $i] :
% 5.55/5.84 ( ( mem @ V4522e3 @ A_27a )
% 5.55/5.84 & ? [V4523e4: $i] :
% 5.55/5.84 ( ( mem @ V4523e4 @ A_27a )
% 5.55/5.84 & ? [V4524e5: $i] :
% 5.55/5.84 ( ( mem @ V4524e5 @ A_27a )
% 5.55/5.84 & ? [V4525e6: $i] :
% 5.55/5.84 ( ( mem @ V4525e6 @ A_27a )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4520e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4521e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4522e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4523e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4524e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4525e6 ) @ V4519l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.84 <=> ? [V4526l_27: $i] :
% 5.55/5.84 ( ( mem @ V4526l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V4527e1: $i] :
% 5.55/5.84 ( ( mem @ V4527e1 @ A_27a )
% 5.55/5.84 & ? [V4528e2: $i] :
% 5.55/5.84 ( ( mem @ V4528e2 @ A_27a )
% 5.55/5.84 & ? [V4529e3: $i] :
% 5.55/5.84 ( ( mem @ V4529e3 @ A_27a )
% 5.55/5.84 & ? [V4530e4: $i] :
% 5.55/5.84 ( ( mem @ V4530e4 @ A_27a )
% 5.55/5.84 & ? [V4531e5: $i] :
% 5.55/5.84 ( ( mem @ V4531e5 @ A_27a )
% 5.55/5.84 & ? [V4532e6: $i] :
% 5.55/5.84 ( ( mem @ V4532e6 @ A_27a )
% 5.55/5.84 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4526l_27 ) ) )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4527e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4528e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4529e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4530e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4531e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4532e6 ) @ V4526l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.84 <=> ? [V4533l_27: $i] :
% 5.55/5.84 ( ( mem @ V4533l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V4534e1: $i] :
% 5.55/5.84 ( ( mem @ V4534e1 @ A_27a )
% 5.55/5.84 & ? [V4535e2: $i] :
% 5.55/5.84 ( ( mem @ V4535e2 @ A_27a )
% 5.55/5.84 & ? [V4536e3: $i] :
% 5.55/5.84 ( ( mem @ V4536e3 @ A_27a )
% 5.55/5.84 & ? [V4537e4: $i] :
% 5.55/5.84 ( ( mem @ V4537e4 @ A_27a )
% 5.55/5.84 & ? [V4538e5: $i] :
% 5.55/5.84 ( ( mem @ V4538e5 @ A_27a )
% 5.55/5.84 & ? [V4539e6: $i] :
% 5.55/5.84 ( ( mem @ V4539e6 @ A_27a )
% 5.55/5.84 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4533l_27 ) ) )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4534e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4535e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4536e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4537e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4538e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4539e6 ) @ V4533l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.84 <=> ? [V4540l_27: $i] :
% 5.55/5.84 ( ( mem @ V4540l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V4541e1: $i] :
% 5.55/5.84 ( ( mem @ V4541e1 @ A_27a )
% 5.55/5.84 & ? [V4542e2: $i] :
% 5.55/5.84 ( ( mem @ V4542e2 @ A_27a )
% 5.55/5.84 & ? [V4543e3: $i] :
% 5.55/5.84 ( ( mem @ V4543e3 @ A_27a )
% 5.55/5.84 & ? [V4544e4: $i] :
% 5.55/5.84 ( ( mem @ V4544e4 @ A_27a )
% 5.55/5.84 & ? [V4545e5: $i] :
% 5.55/5.84 ( ( mem @ V4545e5 @ A_27a )
% 5.55/5.84 & ? [V4546e6: $i] :
% 5.55/5.84 ( ( mem @ V4546e6 @ A_27a )
% 5.55/5.84 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4540l_27 ) ) )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4541e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4542e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4543e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4544e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4545e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4546e6 ) @ V4540l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.84 <=> ? [V4547l_27: $i] :
% 5.55/5.84 ( ( mem @ V4547l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V4548e1: $i] :
% 5.55/5.84 ( ( mem @ V4548e1 @ A_27a )
% 5.55/5.84 & ? [V4549e2: $i] :
% 5.55/5.84 ( ( mem @ V4549e2 @ A_27a )
% 5.55/5.84 & ? [V4550e3: $i] :
% 5.55/5.84 ( ( mem @ V4550e3 @ A_27a )
% 5.55/5.84 & ? [V4551e4: $i] :
% 5.55/5.84 ( ( mem @ V4551e4 @ A_27a )
% 5.55/5.84 & ? [V4552e5: $i] :
% 5.55/5.84 ( ( mem @ V4552e5 @ A_27a )
% 5.55/5.84 & ? [V4553e6: $i] :
% 5.55/5.84 ( ( mem @ V4553e6 @ A_27a )
% 5.55/5.84 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4547l_27 ) ) )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4548e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4549e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4550e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4551e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4552e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4553e6 ) @ V4547l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.84 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.84 <=> ? [V4554l_27: $i] :
% 5.55/5.84 ( ( mem @ V4554l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V4555e1: $i] :
% 5.55/5.84 ( ( mem @ V4555e1 @ A_27a )
% 5.55/5.84 & ? [V4556e2: $i] :
% 5.55/5.84 ( ( mem @ V4556e2 @ A_27a )
% 5.55/5.84 & ? [V4557e3: $i] :
% 5.55/5.84 ( ( mem @ V4557e3 @ A_27a )
% 5.55/5.84 & ? [V4558e4: $i] :
% 5.55/5.84 ( ( mem @ V4558e4 @ A_27a )
% 5.55/5.84 & ? [V4559e5: $i] :
% 5.55/5.84 ( ( mem @ V4559e5 @ A_27a )
% 5.55/5.84 & ? [V4560e6: $i] :
% 5.55/5.84 ( ( mem @ V4560e6 @ A_27a )
% 5.55/5.84 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4554l_27 ) )
% 5.55/5.84 = V1x )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4555e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4556e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4557e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4558e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4559e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4560e6 ) @ V4554l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.55/5.84 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.84 <=> ? [V4561l_27: $i] :
% 5.55/5.84 ( ( mem @ V4561l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V4562e1: $i] :
% 5.55/5.84 ( ( mem @ V4562e1 @ A_27a )
% 5.55/5.84 & ? [V4563e2: $i] :
% 5.55/5.84 ( ( mem @ V4563e2 @ A_27a )
% 5.55/5.84 & ? [V4564e3: $i] :
% 5.55/5.84 ( ( mem @ V4564e3 @ A_27a )
% 5.55/5.84 & ? [V4565e4: $i] :
% 5.55/5.84 ( ( mem @ V4565e4 @ A_27a )
% 5.55/5.84 & ? [V4566e5: $i] :
% 5.55/5.84 ( ( mem @ V4566e5 @ A_27a )
% 5.55/5.84 & ? [V4567e6: $i] :
% 5.55/5.84 ( ( mem @ V4567e6 @ A_27a )
% 5.55/5.84 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4561l_27 ) )
% 5.55/5.84 = V1x )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4562e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4563e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4564e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4565e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4566e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4567e6 ) @ V4561l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.84 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.84 <=> ? [V4568l_27: $i] :
% 5.55/5.84 ( ( mem @ V4568l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V4569e1: $i] :
% 5.55/5.84 ( ( mem @ V4569e1 @ A_27a )
% 5.55/5.84 & ? [V4570e2: $i] :
% 5.55/5.84 ( ( mem @ V4570e2 @ A_27a )
% 5.55/5.84 & ? [V4571e3: $i] :
% 5.55/5.84 ( ( mem @ V4571e3 @ A_27a )
% 5.55/5.84 & ? [V4572e4: $i] :
% 5.55/5.84 ( ( mem @ V4572e4 @ A_27a )
% 5.55/5.84 & ? [V4573e5: $i] :
% 5.55/5.84 ( ( mem @ V4573e5 @ A_27a )
% 5.55/5.84 & ? [V4574e6: $i] :
% 5.55/5.84 ( ( mem @ V4574e6 @ A_27a )
% 5.55/5.84 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4568l_27 ) )
% 5.55/5.84 = V1x )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4569e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4570e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4571e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4572e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4573e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4574e6 ) @ V4568l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.84 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.84 <=> ? [V4575l_27: $i] :
% 5.55/5.84 ( ( mem @ V4575l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V4576e1: $i] :
% 5.55/5.84 ( ( mem @ V4576e1 @ A_27a )
% 5.55/5.84 & ? [V4577e2: $i] :
% 5.55/5.84 ( ( mem @ V4577e2 @ A_27a )
% 5.55/5.84 & ? [V4578e3: $i] :
% 5.55/5.84 ( ( mem @ V4578e3 @ A_27a )
% 5.55/5.84 & ? [V4579e4: $i] :
% 5.55/5.84 ( ( mem @ V4579e4 @ A_27a )
% 5.55/5.84 & ? [V4580e5: $i] :
% 5.55/5.84 ( ( mem @ V4580e5 @ A_27a )
% 5.55/5.84 & ? [V4581e6: $i] :
% 5.55/5.84 ( ( mem @ V4581e6 @ A_27a )
% 5.55/5.84 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4575l_27 ) )
% 5.55/5.84 = V1x )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4576e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4577e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4578e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4579e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4580e5 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4581e6 ) @ V4575l_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.84 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.84 <=> ? [V4582e1: $i] :
% 5.55/5.84 ( ( mem @ V4582e1 @ A_27a )
% 5.55/5.84 & ? [V4583e2: $i] :
% 5.55/5.84 ( ( mem @ V4583e2 @ A_27a )
% 5.55/5.84 & ? [V4584e3: $i] :
% 5.55/5.84 ( ( mem @ V4584e3 @ A_27a )
% 5.55/5.84 & ? [V4585e4: $i] :
% 5.55/5.84 ( ( mem @ V4585e4 @ A_27a )
% 5.55/5.84 & ? [V4586e5: $i] :
% 5.55/5.84 ( ( mem @ V4586e5 @ A_27a )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4582e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4583e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4584e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4585e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4586e5 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.84 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.84 <=> ? [V4587e1: $i] :
% 5.55/5.84 ( ( mem @ V4587e1 @ A_27a )
% 5.55/5.84 & ? [V4588e2: $i] :
% 5.55/5.84 ( ( mem @ V4588e2 @ A_27a )
% 5.55/5.84 & ? [V4589e3: $i] :
% 5.55/5.84 ( ( mem @ V4589e3 @ A_27a )
% 5.55/5.84 & ? [V4590e4: $i] :
% 5.55/5.84 ( ( mem @ V4590e4 @ A_27a )
% 5.55/5.84 & ? [V4591e5: $i] :
% 5.55/5.84 ( ( mem @ V4591e5 @ A_27a )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4587e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4588e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4589e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4590e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4591e5 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.84 <=> ? [V4592l_27: $i] :
% 5.55/5.84 ( ( mem @ V4592l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V4593e1: $i] :
% 5.55/5.84 ( ( mem @ V4593e1 @ A_27a )
% 5.55/5.84 & ? [V4594e2: $i] :
% 5.55/5.84 ( ( mem @ V4594e2 @ A_27a )
% 5.55/5.84 & ? [V4595e3: $i] :
% 5.55/5.84 ( ( mem @ V4595e3 @ A_27a )
% 5.55/5.84 & ? [V4596e4: $i] :
% 5.55/5.84 ( ( mem @ V4596e4 @ A_27a )
% 5.55/5.84 & ? [V4597e5: $i] :
% 5.55/5.84 ( ( mem @ V4597e5 @ A_27a )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4593e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4594e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4595e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4596e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4597e5 ) @ V4592l_27 ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.84 <=> ? [V4598l_27: $i] :
% 5.55/5.84 ( ( mem @ V4598l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V4599e1: $i] :
% 5.55/5.84 ( ( mem @ V4599e1 @ A_27a )
% 5.55/5.84 & ? [V4600e2: $i] :
% 5.55/5.84 ( ( mem @ V4600e2 @ A_27a )
% 5.55/5.84 & ? [V4601e3: $i] :
% 5.55/5.84 ( ( mem @ V4601e3 @ A_27a )
% 5.55/5.84 & ? [V4602e4: $i] :
% 5.55/5.84 ( ( mem @ V4602e4 @ A_27a )
% 5.55/5.84 & ? [V4603e5: $i] :
% 5.55/5.84 ( ( mem @ V4603e5 @ A_27a )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4599e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4600e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4601e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4602e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4603e5 ) @ V4598l_27 ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.84 <=> ? [V4604l_27: $i] :
% 5.55/5.84 ( ( mem @ V4604l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V4605e1: $i] :
% 5.55/5.84 ( ( mem @ V4605e1 @ A_27a )
% 5.55/5.84 & ? [V4606e2: $i] :
% 5.55/5.84 ( ( mem @ V4606e2 @ A_27a )
% 5.55/5.84 & ? [V4607e3: $i] :
% 5.55/5.84 ( ( mem @ V4607e3 @ A_27a )
% 5.55/5.84 & ? [V4608e4: $i] :
% 5.55/5.84 ( ( mem @ V4608e4 @ A_27a )
% 5.55/5.84 & ? [V4609e5: $i] :
% 5.55/5.84 ( ( mem @ V4609e5 @ A_27a )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4605e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4606e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4607e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4608e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4609e5 ) @ V4604l_27 ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.84 <=> ? [V4610l_27: $i] :
% 5.55/5.84 ( ( mem @ V4610l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V4611e1: $i] :
% 5.55/5.84 ( ( mem @ V4611e1 @ A_27a )
% 5.55/5.84 & ? [V4612e2: $i] :
% 5.55/5.84 ( ( mem @ V4612e2 @ A_27a )
% 5.55/5.84 & ? [V4613e3: $i] :
% 5.55/5.84 ( ( mem @ V4613e3 @ A_27a )
% 5.55/5.84 & ? [V4614e4: $i] :
% 5.55/5.84 ( ( mem @ V4614e4 @ A_27a )
% 5.55/5.84 & ? [V4615e5: $i] :
% 5.55/5.84 ( ( mem @ V4615e5 @ A_27a )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4611e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4612e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4613e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4614e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4615e5 ) @ V4610l_27 ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.84 <=> ? [V4616l_27: $i] :
% 5.55/5.84 ( ( mem @ V4616l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V4617e1: $i] :
% 5.55/5.84 ( ( mem @ V4617e1 @ A_27a )
% 5.55/5.84 & ? [V4618e2: $i] :
% 5.55/5.84 ( ( mem @ V4618e2 @ A_27a )
% 5.55/5.84 & ? [V4619e3: $i] :
% 5.55/5.84 ( ( mem @ V4619e3 @ A_27a )
% 5.55/5.84 & ? [V4620e4: $i] :
% 5.55/5.84 ( ( mem @ V4620e4 @ A_27a )
% 5.55/5.84 & ? [V4621e5: $i] :
% 5.55/5.84 ( ( mem @ V4621e5 @ A_27a )
% 5.55/5.84 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4616l_27 ) ) )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4617e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4618e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4619e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4620e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4621e5 ) @ V4616l_27 ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.84 <=> ? [V4622l_27: $i] :
% 5.55/5.84 ( ( mem @ V4622l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V4623e1: $i] :
% 5.55/5.84 ( ( mem @ V4623e1 @ A_27a )
% 5.55/5.84 & ? [V4624e2: $i] :
% 5.55/5.84 ( ( mem @ V4624e2 @ A_27a )
% 5.55/5.84 & ? [V4625e3: $i] :
% 5.55/5.84 ( ( mem @ V4625e3 @ A_27a )
% 5.55/5.84 & ? [V4626e4: $i] :
% 5.55/5.84 ( ( mem @ V4626e4 @ A_27a )
% 5.55/5.84 & ? [V4627e5: $i] :
% 5.55/5.84 ( ( mem @ V4627e5 @ A_27a )
% 5.55/5.84 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4622l_27 ) ) )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4623e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4624e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4625e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4626e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4627e5 ) @ V4622l_27 ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.84 <=> ? [V4628l_27: $i] :
% 5.55/5.84 ( ( mem @ V4628l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V4629e1: $i] :
% 5.55/5.84 ( ( mem @ V4629e1 @ A_27a )
% 5.55/5.84 & ? [V4630e2: $i] :
% 5.55/5.84 ( ( mem @ V4630e2 @ A_27a )
% 5.55/5.84 & ? [V4631e3: $i] :
% 5.55/5.84 ( ( mem @ V4631e3 @ A_27a )
% 5.55/5.84 & ? [V4632e4: $i] :
% 5.55/5.84 ( ( mem @ V4632e4 @ A_27a )
% 5.55/5.84 & ? [V4633e5: $i] :
% 5.55/5.84 ( ( mem @ V4633e5 @ A_27a )
% 5.55/5.84 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4628l_27 ) ) )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4629e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4630e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4631e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4632e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4633e5 ) @ V4628l_27 ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.84 <=> ? [V4634l_27: $i] :
% 5.55/5.84 ( ( mem @ V4634l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V4635e1: $i] :
% 5.55/5.84 ( ( mem @ V4635e1 @ A_27a )
% 5.55/5.84 & ? [V4636e2: $i] :
% 5.55/5.84 ( ( mem @ V4636e2 @ A_27a )
% 5.55/5.84 & ? [V4637e3: $i] :
% 5.55/5.84 ( ( mem @ V4637e3 @ A_27a )
% 5.55/5.84 & ? [V4638e4: $i] :
% 5.55/5.84 ( ( mem @ V4638e4 @ A_27a )
% 5.55/5.84 & ? [V4639e5: $i] :
% 5.55/5.84 ( ( mem @ V4639e5 @ A_27a )
% 5.55/5.84 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4634l_27 ) ) )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4635e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4636e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4637e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4638e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4639e5 ) @ V4634l_27 ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.84 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.84 <=> ? [V4640l_27: $i] :
% 5.55/5.84 ( ( mem @ V4640l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V4641e1: $i] :
% 5.55/5.84 ( ( mem @ V4641e1 @ A_27a )
% 5.55/5.84 & ? [V4642e2: $i] :
% 5.55/5.84 ( ( mem @ V4642e2 @ A_27a )
% 5.55/5.84 & ? [V4643e3: $i] :
% 5.55/5.84 ( ( mem @ V4643e3 @ A_27a )
% 5.55/5.84 & ? [V4644e4: $i] :
% 5.55/5.84 ( ( mem @ V4644e4 @ A_27a )
% 5.55/5.84 & ? [V4645e5: $i] :
% 5.55/5.84 ( ( mem @ V4645e5 @ A_27a )
% 5.55/5.84 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4640l_27 ) )
% 5.55/5.84 = V1x )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4641e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4642e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4643e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4644e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4645e5 ) @ V4640l_27 ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.55/5.84 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.84 <=> ? [V4646l_27: $i] :
% 5.55/5.84 ( ( mem @ V4646l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V4647e1: $i] :
% 5.55/5.84 ( ( mem @ V4647e1 @ A_27a )
% 5.55/5.84 & ? [V4648e2: $i] :
% 5.55/5.84 ( ( mem @ V4648e2 @ A_27a )
% 5.55/5.84 & ? [V4649e3: $i] :
% 5.55/5.84 ( ( mem @ V4649e3 @ A_27a )
% 5.55/5.84 & ? [V4650e4: $i] :
% 5.55/5.84 ( ( mem @ V4650e4 @ A_27a )
% 5.55/5.84 & ? [V4651e5: $i] :
% 5.55/5.84 ( ( mem @ V4651e5 @ A_27a )
% 5.55/5.84 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4646l_27 ) )
% 5.55/5.84 = V1x )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4647e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4648e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4649e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4650e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4651e5 ) @ V4646l_27 ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.84 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.84 <=> ? [V4652l_27: $i] :
% 5.55/5.84 ( ( mem @ V4652l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V4653e1: $i] :
% 5.55/5.84 ( ( mem @ V4653e1 @ A_27a )
% 5.55/5.84 & ? [V4654e2: $i] :
% 5.55/5.84 ( ( mem @ V4654e2 @ A_27a )
% 5.55/5.84 & ? [V4655e3: $i] :
% 5.55/5.84 ( ( mem @ V4655e3 @ A_27a )
% 5.55/5.84 & ? [V4656e4: $i] :
% 5.55/5.84 ( ( mem @ V4656e4 @ A_27a )
% 5.55/5.84 & ? [V4657e5: $i] :
% 5.55/5.84 ( ( mem @ V4657e5 @ A_27a )
% 5.55/5.84 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4652l_27 ) )
% 5.55/5.84 = V1x )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4653e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4654e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4655e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4656e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4657e5 ) @ V4652l_27 ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.84 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.84 <=> ? [V4658l_27: $i] :
% 5.55/5.84 ( ( mem @ V4658l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V4659e1: $i] :
% 5.55/5.84 ( ( mem @ V4659e1 @ A_27a )
% 5.55/5.84 & ? [V4660e2: $i] :
% 5.55/5.84 ( ( mem @ V4660e2 @ A_27a )
% 5.55/5.84 & ? [V4661e3: $i] :
% 5.55/5.84 ( ( mem @ V4661e3 @ A_27a )
% 5.55/5.84 & ? [V4662e4: $i] :
% 5.55/5.84 ( ( mem @ V4662e4 @ A_27a )
% 5.55/5.84 & ? [V4663e5: $i] :
% 5.55/5.84 ( ( mem @ V4663e5 @ A_27a )
% 5.55/5.84 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4658l_27 ) )
% 5.55/5.84 = V1x )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4659e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4660e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4661e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4662e4 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4663e5 ) @ V4658l_27 ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.84 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.84 <=> ? [V4664e1: $i] :
% 5.55/5.84 ( ( mem @ V4664e1 @ A_27a )
% 5.55/5.84 & ? [V4665e2: $i] :
% 5.55/5.84 ( ( mem @ V4665e2 @ A_27a )
% 5.55/5.84 & ? [V4666e3: $i] :
% 5.55/5.84 ( ( mem @ V4666e3 @ A_27a )
% 5.55/5.84 & ? [V4667e4: $i] :
% 5.55/5.84 ( ( mem @ V4667e4 @ A_27a )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4664e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4665e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4666e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4667e4 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.84 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.84 <=> ? [V4668e1: $i] :
% 5.55/5.84 ( ( mem @ V4668e1 @ A_27a )
% 5.55/5.84 & ? [V4669e2: $i] :
% 5.55/5.84 ( ( mem @ V4669e2 @ A_27a )
% 5.55/5.84 & ? [V4670e3: $i] :
% 5.55/5.84 ( ( mem @ V4670e3 @ A_27a )
% 5.55/5.84 & ? [V4671e4: $i] :
% 5.55/5.84 ( ( mem @ V4671e4 @ A_27a )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4668e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4669e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4670e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4671e4 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.84 <=> ? [V4672l_27: $i] :
% 5.55/5.84 ( ( mem @ V4672l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V4673e1: $i] :
% 5.55/5.84 ( ( mem @ V4673e1 @ A_27a )
% 5.55/5.84 & ? [V4674e2: $i] :
% 5.55/5.84 ( ( mem @ V4674e2 @ A_27a )
% 5.55/5.84 & ? [V4675e3: $i] :
% 5.55/5.84 ( ( mem @ V4675e3 @ A_27a )
% 5.55/5.84 & ? [V4676e4: $i] :
% 5.55/5.84 ( ( mem @ V4676e4 @ A_27a )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4673e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4674e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4675e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4676e4 ) @ V4672l_27 ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.84 <=> ? [V4677l_27: $i] :
% 5.55/5.84 ( ( mem @ V4677l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V4678e1: $i] :
% 5.55/5.84 ( ( mem @ V4678e1 @ A_27a )
% 5.55/5.84 & ? [V4679e2: $i] :
% 5.55/5.84 ( ( mem @ V4679e2 @ A_27a )
% 5.55/5.84 & ? [V4680e3: $i] :
% 5.55/5.84 ( ( mem @ V4680e3 @ A_27a )
% 5.55/5.84 & ? [V4681e4: $i] :
% 5.55/5.84 ( ( mem @ V4681e4 @ A_27a )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4678e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4679e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4680e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4681e4 ) @ V4677l_27 ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.84 <=> ? [V4682l_27: $i] :
% 5.55/5.84 ( ( mem @ V4682l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V4683e1: $i] :
% 5.55/5.84 ( ( mem @ V4683e1 @ A_27a )
% 5.55/5.84 & ? [V4684e2: $i] :
% 5.55/5.84 ( ( mem @ V4684e2 @ A_27a )
% 5.55/5.84 & ? [V4685e3: $i] :
% 5.55/5.84 ( ( mem @ V4685e3 @ A_27a )
% 5.55/5.84 & ? [V4686e4: $i] :
% 5.55/5.84 ( ( mem @ V4686e4 @ A_27a )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4683e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4684e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4685e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4686e4 ) @ V4682l_27 ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.84 <=> ? [V4687l_27: $i] :
% 5.55/5.84 ( ( mem @ V4687l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V4688e1: $i] :
% 5.55/5.84 ( ( mem @ V4688e1 @ A_27a )
% 5.55/5.84 & ? [V4689e2: $i] :
% 5.55/5.84 ( ( mem @ V4689e2 @ A_27a )
% 5.55/5.84 & ? [V4690e3: $i] :
% 5.55/5.84 ( ( mem @ V4690e3 @ A_27a )
% 5.55/5.84 & ? [V4691e4: $i] :
% 5.55/5.84 ( ( mem @ V4691e4 @ A_27a )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4688e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4689e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4690e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4691e4 ) @ V4687l_27 ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.84 <=> ? [V4692l_27: $i] :
% 5.55/5.84 ( ( mem @ V4692l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V4693e1: $i] :
% 5.55/5.84 ( ( mem @ V4693e1 @ A_27a )
% 5.55/5.84 & ? [V4694e2: $i] :
% 5.55/5.84 ( ( mem @ V4694e2 @ A_27a )
% 5.55/5.84 & ? [V4695e3: $i] :
% 5.55/5.84 ( ( mem @ V4695e3 @ A_27a )
% 5.55/5.84 & ? [V4696e4: $i] :
% 5.55/5.84 ( ( mem @ V4696e4 @ A_27a )
% 5.55/5.84 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4692l_27 ) ) )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4693e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4694e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4695e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4696e4 ) @ V4692l_27 ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.84 <=> ? [V4697l_27: $i] :
% 5.55/5.84 ( ( mem @ V4697l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V4698e1: $i] :
% 5.55/5.84 ( ( mem @ V4698e1 @ A_27a )
% 5.55/5.84 & ? [V4699e2: $i] :
% 5.55/5.84 ( ( mem @ V4699e2 @ A_27a )
% 5.55/5.84 & ? [V4700e3: $i] :
% 5.55/5.84 ( ( mem @ V4700e3 @ A_27a )
% 5.55/5.84 & ? [V4701e4: $i] :
% 5.55/5.84 ( ( mem @ V4701e4 @ A_27a )
% 5.55/5.84 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4697l_27 ) ) )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4698e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4699e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4700e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4701e4 ) @ V4697l_27 ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.84 <=> ? [V4702l_27: $i] :
% 5.55/5.84 ( ( mem @ V4702l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V4703e1: $i] :
% 5.55/5.84 ( ( mem @ V4703e1 @ A_27a )
% 5.55/5.84 & ? [V4704e2: $i] :
% 5.55/5.84 ( ( mem @ V4704e2 @ A_27a )
% 5.55/5.84 & ? [V4705e3: $i] :
% 5.55/5.84 ( ( mem @ V4705e3 @ A_27a )
% 5.55/5.84 & ? [V4706e4: $i] :
% 5.55/5.84 ( ( mem @ V4706e4 @ A_27a )
% 5.55/5.84 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4702l_27 ) ) )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4703e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4704e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4705e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4706e4 ) @ V4702l_27 ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.84 <=> ? [V4707l_27: $i] :
% 5.55/5.84 ( ( mem @ V4707l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V4708e1: $i] :
% 5.55/5.84 ( ( mem @ V4708e1 @ A_27a )
% 5.55/5.84 & ? [V4709e2: $i] :
% 5.55/5.84 ( ( mem @ V4709e2 @ A_27a )
% 5.55/5.84 & ? [V4710e3: $i] :
% 5.55/5.84 ( ( mem @ V4710e3 @ A_27a )
% 5.55/5.84 & ? [V4711e4: $i] :
% 5.55/5.84 ( ( mem @ V4711e4 @ A_27a )
% 5.55/5.84 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4707l_27 ) ) )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4708e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4709e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4710e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4711e4 ) @ V4707l_27 ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.84 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.84 <=> ? [V4712l_27: $i] :
% 5.55/5.84 ( ( mem @ V4712l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V4713e1: $i] :
% 5.55/5.84 ( ( mem @ V4713e1 @ A_27a )
% 5.55/5.84 & ? [V4714e2: $i] :
% 5.55/5.84 ( ( mem @ V4714e2 @ A_27a )
% 5.55/5.84 & ? [V4715e3: $i] :
% 5.55/5.84 ( ( mem @ V4715e3 @ A_27a )
% 5.55/5.84 & ? [V4716e4: $i] :
% 5.55/5.84 ( ( mem @ V4716e4 @ A_27a )
% 5.55/5.84 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4712l_27 ) )
% 5.55/5.84 = V1x )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4713e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4714e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4715e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4716e4 ) @ V4712l_27 ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.55/5.84 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.84 <=> ? [V4717l_27: $i] :
% 5.55/5.84 ( ( mem @ V4717l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V4718e1: $i] :
% 5.55/5.84 ( ( mem @ V4718e1 @ A_27a )
% 5.55/5.84 & ? [V4719e2: $i] :
% 5.55/5.84 ( ( mem @ V4719e2 @ A_27a )
% 5.55/5.84 & ? [V4720e3: $i] :
% 5.55/5.84 ( ( mem @ V4720e3 @ A_27a )
% 5.55/5.84 & ? [V4721e4: $i] :
% 5.55/5.84 ( ( mem @ V4721e4 @ A_27a )
% 5.55/5.84 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4717l_27 ) )
% 5.55/5.84 = V1x )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4718e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4719e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4720e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4721e4 ) @ V4717l_27 ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.84 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.84 <=> ? [V4722l_27: $i] :
% 5.55/5.84 ( ( mem @ V4722l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V4723e1: $i] :
% 5.55/5.84 ( ( mem @ V4723e1 @ A_27a )
% 5.55/5.84 & ? [V4724e2: $i] :
% 5.55/5.84 ( ( mem @ V4724e2 @ A_27a )
% 5.55/5.84 & ? [V4725e3: $i] :
% 5.55/5.84 ( ( mem @ V4725e3 @ A_27a )
% 5.55/5.84 & ? [V4726e4: $i] :
% 5.55/5.84 ( ( mem @ V4726e4 @ A_27a )
% 5.55/5.84 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4722l_27 ) )
% 5.55/5.84 = V1x )
% 5.55/5.84 & ( V0l
% 5.55/5.84 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4723e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4724e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4725e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4726e4 ) @ V4722l_27 ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.84 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.84 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.84 <=> ? [V4727l_27: $i] :
% 5.55/5.84 ( ( mem @ V4727l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.84 & ? [V4728e1: $i] :
% 5.55/5.84 ( ( mem @ V4728e1 @ A_27a )
% 5.55/5.84 & ? [V4729e2: $i] :
% 5.55/5.84 ( ( mem @ V4729e2 @ A_27a )
% 5.55/5.84 & ? [V4730e3: $i] :
% 5.55/5.84 ( ( mem @ V4730e3 @ A_27a )
% 5.55/5.84 & ? [V4731e4: $i] :
% 5.55/5.84 ( ( mem @ V4731e4 @ A_27a )
% 5.55/5.84 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4727l_27 ) )
% 5.55/5.85 = V1x )
% 5.55/5.85 & ( V0l
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4728e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4729e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4730e3 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4731e4 ) @ V4727l_27 ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.85 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.85 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.85 <=> ? [V4732e1: $i] :
% 5.55/5.85 ( ( mem @ V4732e1 @ A_27a )
% 5.55/5.85 & ? [V4733e2: $i] :
% 5.55/5.85 ( ( mem @ V4733e2 @ A_27a )
% 5.55/5.85 & ? [V4734e3: $i] :
% 5.55/5.85 ( ( mem @ V4734e3 @ A_27a )
% 5.55/5.85 & ( V0l
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4732e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4733e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4734e3 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) )
% 5.55/5.85 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.85 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.85 <=> ? [V4735e1: $i] :
% 5.55/5.85 ( ( mem @ V4735e1 @ A_27a )
% 5.55/5.85 & ? [V4736e2: $i] :
% 5.55/5.85 ( ( mem @ V4736e2 @ A_27a )
% 5.55/5.85 & ? [V4737e3: $i] :
% 5.55/5.85 ( ( mem @ V4737e3 @ A_27a )
% 5.55/5.85 & ( V0l
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4735e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4736e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4737e3 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) )
% 5.55/5.85 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.85 <=> ? [V4738l_27: $i] :
% 5.55/5.85 ( ( mem @ V4738l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 & ? [V4739e1: $i] :
% 5.55/5.85 ( ( mem @ V4739e1 @ A_27a )
% 5.55/5.85 & ? [V4740e2: $i] :
% 5.55/5.85 ( ( mem @ V4740e2 @ A_27a )
% 5.55/5.85 & ? [V4741e3: $i] :
% 5.55/5.85 ( ( mem @ V4741e3 @ A_27a )
% 5.55/5.85 & ( V0l
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4739e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4740e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4741e3 ) @ V4738l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.85 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.85 <=> ? [V4742l_27: $i] :
% 5.55/5.85 ( ( mem @ V4742l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 & ? [V4743e1: $i] :
% 5.55/5.85 ( ( mem @ V4743e1 @ A_27a )
% 5.55/5.85 & ? [V4744e2: $i] :
% 5.55/5.85 ( ( mem @ V4744e2 @ A_27a )
% 5.55/5.85 & ? [V4745e3: $i] :
% 5.55/5.85 ( ( mem @ V4745e3 @ A_27a )
% 5.55/5.85 & ( V0l
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4743e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4744e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4745e3 ) @ V4742l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.85 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.85 <=> ? [V4746l_27: $i] :
% 5.55/5.85 ( ( mem @ V4746l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 & ? [V4747e1: $i] :
% 5.55/5.85 ( ( mem @ V4747e1 @ A_27a )
% 5.55/5.85 & ? [V4748e2: $i] :
% 5.55/5.85 ( ( mem @ V4748e2 @ A_27a )
% 5.55/5.85 & ? [V4749e3: $i] :
% 5.55/5.85 ( ( mem @ V4749e3 @ A_27a )
% 5.55/5.85 & ( V0l
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4747e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4748e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4749e3 ) @ V4746l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.85 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.85 <=> ? [V4750l_27: $i] :
% 5.55/5.85 ( ( mem @ V4750l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 & ? [V4751e1: $i] :
% 5.55/5.85 ( ( mem @ V4751e1 @ A_27a )
% 5.55/5.85 & ? [V4752e2: $i] :
% 5.55/5.85 ( ( mem @ V4752e2 @ A_27a )
% 5.55/5.85 & ? [V4753e3: $i] :
% 5.55/5.85 ( ( mem @ V4753e3 @ A_27a )
% 5.55/5.85 & ( V0l
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4751e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4752e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4753e3 ) @ V4750l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.85 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.85 <=> ? [V4754l_27: $i] :
% 5.55/5.85 ( ( mem @ V4754l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 & ? [V4755e1: $i] :
% 5.55/5.85 ( ( mem @ V4755e1 @ A_27a )
% 5.55/5.85 & ? [V4756e2: $i] :
% 5.55/5.85 ( ( mem @ V4756e2 @ A_27a )
% 5.55/5.85 & ? [V4757e3: $i] :
% 5.55/5.85 ( ( mem @ V4757e3 @ A_27a )
% 5.55/5.85 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4754l_27 ) ) )
% 5.55/5.85 & ( V0l
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4755e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4756e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4757e3 ) @ V4754l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.85 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.85 <=> ? [V4758l_27: $i] :
% 5.55/5.85 ( ( mem @ V4758l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 & ? [V4759e1: $i] :
% 5.55/5.85 ( ( mem @ V4759e1 @ A_27a )
% 5.55/5.85 & ? [V4760e2: $i] :
% 5.55/5.85 ( ( mem @ V4760e2 @ A_27a )
% 5.55/5.85 & ? [V4761e3: $i] :
% 5.55/5.85 ( ( mem @ V4761e3 @ A_27a )
% 5.55/5.85 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4758l_27 ) ) )
% 5.55/5.85 & ( V0l
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4759e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4760e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4761e3 ) @ V4758l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.85 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.85 <=> ? [V4762l_27: $i] :
% 5.55/5.85 ( ( mem @ V4762l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 & ? [V4763e1: $i] :
% 5.55/5.85 ( ( mem @ V4763e1 @ A_27a )
% 5.55/5.85 & ? [V4764e2: $i] :
% 5.55/5.85 ( ( mem @ V4764e2 @ A_27a )
% 5.55/5.85 & ? [V4765e3: $i] :
% 5.55/5.85 ( ( mem @ V4765e3 @ A_27a )
% 5.55/5.85 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4762l_27 ) ) )
% 5.55/5.85 & ( V0l
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4763e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4764e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4765e3 ) @ V4762l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.85 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.85 <=> ? [V4766l_27: $i] :
% 5.55/5.85 ( ( mem @ V4766l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 & ? [V4767e1: $i] :
% 5.55/5.85 ( ( mem @ V4767e1 @ A_27a )
% 5.55/5.85 & ? [V4768e2: $i] :
% 5.55/5.85 ( ( mem @ V4768e2 @ A_27a )
% 5.55/5.85 & ? [V4769e3: $i] :
% 5.55/5.85 ( ( mem @ V4769e3 @ A_27a )
% 5.55/5.85 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4766l_27 ) ) )
% 5.55/5.85 & ( V0l
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4767e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4768e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4769e3 ) @ V4766l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.85 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.85 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.85 <=> ? [V4770l_27: $i] :
% 5.55/5.85 ( ( mem @ V4770l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 & ? [V4771e1: $i] :
% 5.55/5.85 ( ( mem @ V4771e1 @ A_27a )
% 5.55/5.85 & ? [V4772e2: $i] :
% 5.55/5.85 ( ( mem @ V4772e2 @ A_27a )
% 5.55/5.85 & ? [V4773e3: $i] :
% 5.55/5.85 ( ( mem @ V4773e3 @ A_27a )
% 5.55/5.85 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4770l_27 ) )
% 5.55/5.85 = V1x )
% 5.55/5.85 & ( V0l
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4771e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4772e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4773e3 ) @ V4770l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.85 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.55/5.85 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.85 <=> ? [V4774l_27: $i] :
% 5.55/5.85 ( ( mem @ V4774l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 & ? [V4775e1: $i] :
% 5.55/5.85 ( ( mem @ V4775e1 @ A_27a )
% 5.55/5.85 & ? [V4776e2: $i] :
% 5.55/5.85 ( ( mem @ V4776e2 @ A_27a )
% 5.55/5.85 & ? [V4777e3: $i] :
% 5.55/5.85 ( ( mem @ V4777e3 @ A_27a )
% 5.55/5.85 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4774l_27 ) )
% 5.55/5.85 = V1x )
% 5.55/5.85 & ( V0l
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4775e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4776e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4777e3 ) @ V4774l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.85 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.85 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.85 <=> ? [V4778l_27: $i] :
% 5.55/5.85 ( ( mem @ V4778l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 & ? [V4779e1: $i] :
% 5.55/5.85 ( ( mem @ V4779e1 @ A_27a )
% 5.55/5.85 & ? [V4780e2: $i] :
% 5.55/5.85 ( ( mem @ V4780e2 @ A_27a )
% 5.55/5.85 & ? [V4781e3: $i] :
% 5.55/5.85 ( ( mem @ V4781e3 @ A_27a )
% 5.55/5.85 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4778l_27 ) )
% 5.55/5.85 = V1x )
% 5.55/5.85 & ( V0l
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4779e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4780e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4781e3 ) @ V4778l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.85 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.85 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.85 <=> ? [V4782l_27: $i] :
% 5.55/5.85 ( ( mem @ V4782l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 & ? [V4783e1: $i] :
% 5.55/5.85 ( ( mem @ V4783e1 @ A_27a )
% 5.55/5.85 & ? [V4784e2: $i] :
% 5.55/5.85 ( ( mem @ V4784e2 @ A_27a )
% 5.55/5.85 & ? [V4785e3: $i] :
% 5.55/5.85 ( ( mem @ V4785e3 @ A_27a )
% 5.55/5.85 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4782l_27 ) )
% 5.55/5.85 = V1x )
% 5.55/5.85 & ( V0l
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4783e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4784e2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4785e3 ) @ V4782l_27 ) ) ) ) ) ) ) ) )
% 5.55/5.85 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.85 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.85 <=> ? [V4786e1: $i] :
% 5.55/5.85 ( ( mem @ V4786e1 @ A_27a )
% 5.55/5.85 & ? [V4787e2: $i] :
% 5.55/5.85 ( ( mem @ V4787e2 @ A_27a )
% 5.55/5.85 & ( V0l
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4786e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4787e2 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) )
% 5.55/5.85 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) )
% 5.55/5.85 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.85 <=> ? [V4788e1: $i] :
% 5.55/5.85 ( ( mem @ V4788e1 @ A_27a )
% 5.55/5.85 & ? [V4789e2: $i] :
% 5.55/5.85 ( ( mem @ V4789e2 @ A_27a )
% 5.55/5.85 & ( V0l
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4788e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4789e2 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) )
% 5.55/5.85 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.85 <=> ? [V4790l_27: $i] :
% 5.55/5.85 ( ( mem @ V4790l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 & ? [V4791e1: $i] :
% 5.55/5.85 ( ( mem @ V4791e1 @ A_27a )
% 5.55/5.85 & ? [V4792e2: $i] :
% 5.55/5.85 ( ( mem @ V4792e2 @ A_27a )
% 5.55/5.85 & ( V0l
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4791e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4792e2 ) @ V4790l_27 ) ) ) ) ) ) )
% 5.55/5.85 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.85 <=> ? [V4793l_27: $i] :
% 5.55/5.85 ( ( mem @ V4793l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 & ? [V4794e1: $i] :
% 5.55/5.85 ( ( mem @ V4794e1 @ A_27a )
% 5.55/5.85 & ? [V4795e2: $i] :
% 5.55/5.85 ( ( mem @ V4795e2 @ A_27a )
% 5.55/5.85 & ( V0l
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4794e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4795e2 ) @ V4793l_27 ) ) ) ) ) ) )
% 5.55/5.85 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.85 <=> ? [V4796l_27: $i] :
% 5.55/5.85 ( ( mem @ V4796l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 & ? [V4797e1: $i] :
% 5.55/5.85 ( ( mem @ V4797e1 @ A_27a )
% 5.55/5.85 & ? [V4798e2: $i] :
% 5.55/5.85 ( ( mem @ V4798e2 @ A_27a )
% 5.55/5.85 & ( V0l
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4797e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4798e2 ) @ V4796l_27 ) ) ) ) ) ) )
% 5.55/5.85 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.85 <=> ? [V4799l_27: $i] :
% 5.55/5.85 ( ( mem @ V4799l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 & ? [V4800e1: $i] :
% 5.55/5.85 ( ( mem @ V4800e1 @ A_27a )
% 5.55/5.85 & ? [V4801e2: $i] :
% 5.55/5.85 ( ( mem @ V4801e2 @ A_27a )
% 5.55/5.85 & ( V0l
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4800e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4801e2 ) @ V4799l_27 ) ) ) ) ) ) )
% 5.55/5.85 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.85 <=> ? [V4802l_27: $i] :
% 5.55/5.85 ( ( mem @ V4802l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 & ? [V4803e1: $i] :
% 5.55/5.85 ( ( mem @ V4803e1 @ A_27a )
% 5.55/5.85 & ? [V4804e2: $i] :
% 5.55/5.85 ( ( mem @ V4804e2 @ A_27a )
% 5.55/5.85 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4802l_27 ) ) )
% 5.55/5.85 & ( V0l
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4803e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4804e2 ) @ V4802l_27 ) ) ) ) ) ) )
% 5.55/5.85 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.85 <=> ? [V4805l_27: $i] :
% 5.55/5.85 ( ( mem @ V4805l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 & ? [V4806e1: $i] :
% 5.55/5.85 ( ( mem @ V4806e1 @ A_27a )
% 5.55/5.85 & ? [V4807e2: $i] :
% 5.55/5.85 ( ( mem @ V4807e2 @ A_27a )
% 5.55/5.85 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4805l_27 ) ) )
% 5.55/5.85 & ( V0l
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4806e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4807e2 ) @ V4805l_27 ) ) ) ) ) ) )
% 5.55/5.85 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.85 <=> ? [V4808l_27: $i] :
% 5.55/5.85 ( ( mem @ V4808l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 & ? [V4809e1: $i] :
% 5.55/5.85 ( ( mem @ V4809e1 @ A_27a )
% 5.55/5.85 & ? [V4810e2: $i] :
% 5.55/5.85 ( ( mem @ V4810e2 @ A_27a )
% 5.55/5.85 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4808l_27 ) ) )
% 5.55/5.85 & ( V0l
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4809e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4810e2 ) @ V4808l_27 ) ) ) ) ) ) )
% 5.55/5.85 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.85 <=> ? [V4811l_27: $i] :
% 5.55/5.85 ( ( mem @ V4811l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 & ? [V4812e1: $i] :
% 5.55/5.85 ( ( mem @ V4812e1 @ A_27a )
% 5.55/5.85 & ? [V4813e2: $i] :
% 5.55/5.85 ( ( mem @ V4813e2 @ A_27a )
% 5.55/5.85 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4811l_27 ) ) )
% 5.55/5.85 & ( V0l
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4812e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4813e2 ) @ V4811l_27 ) ) ) ) ) ) )
% 5.55/5.85 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.85 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.85 <=> ? [V4814l_27: $i] :
% 5.55/5.85 ( ( mem @ V4814l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 & ? [V4815e1: $i] :
% 5.55/5.85 ( ( mem @ V4815e1 @ A_27a )
% 5.55/5.85 & ? [V4816e2: $i] :
% 5.55/5.85 ( ( mem @ V4816e2 @ A_27a )
% 5.55/5.85 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4814l_27 ) )
% 5.55/5.85 = V1x )
% 5.55/5.85 & ( V0l
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4815e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4816e2 ) @ V4814l_27 ) ) ) ) ) ) )
% 5.55/5.85 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.55/5.85 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.85 <=> ? [V4817l_27: $i] :
% 5.55/5.85 ( ( mem @ V4817l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 & ? [V4818e1: $i] :
% 5.55/5.85 ( ( mem @ V4818e1 @ A_27a )
% 5.55/5.85 & ? [V4819e2: $i] :
% 5.55/5.85 ( ( mem @ V4819e2 @ A_27a )
% 5.55/5.85 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4817l_27 ) )
% 5.55/5.85 = V1x )
% 5.55/5.85 & ( V0l
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4818e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4819e2 ) @ V4817l_27 ) ) ) ) ) ) )
% 5.55/5.85 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.85 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.85 <=> ? [V4820l_27: $i] :
% 5.55/5.85 ( ( mem @ V4820l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 & ? [V4821e1: $i] :
% 5.55/5.85 ( ( mem @ V4821e1 @ A_27a )
% 5.55/5.85 & ? [V4822e2: $i] :
% 5.55/5.85 ( ( mem @ V4822e2 @ A_27a )
% 5.55/5.85 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4820l_27 ) )
% 5.55/5.85 = V1x )
% 5.55/5.85 & ( V0l
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4821e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4822e2 ) @ V4820l_27 ) ) ) ) ) ) )
% 5.55/5.85 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.85 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.85 <=> ? [V4823l_27: $i] :
% 5.55/5.85 ( ( mem @ V4823l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 & ? [V4824e1: $i] :
% 5.55/5.85 ( ( mem @ V4824e1 @ A_27a )
% 5.55/5.85 & ? [V4825e2: $i] :
% 5.55/5.85 ( ( mem @ V4825e2 @ A_27a )
% 5.55/5.85 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4823l_27 ) )
% 5.55/5.85 = V1x )
% 5.55/5.85 & ( V0l
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4824e1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4825e2 ) @ V4823l_27 ) ) ) ) ) ) )
% 5.55/5.85 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.85 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.85 <=> ? [V4826e1: $i] :
% 5.55/5.85 ( ( mem @ V4826e1 @ A_27a )
% 5.55/5.85 & ( V0l
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4826e1 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) )
% 5.55/5.85 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) )
% 5.55/5.85 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.85 <=> ? [V4827e1: $i] :
% 5.55/5.85 ( ( mem @ V4827e1 @ A_27a )
% 5.55/5.85 & ( V0l
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4827e1 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) )
% 5.55/5.85 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.85 <=> ? [V4828l_27: $i] :
% 5.55/5.85 ( ( mem @ V4828l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 & ? [V4829e1: $i] :
% 5.55/5.85 ( ( mem @ V4829e1 @ A_27a )
% 5.55/5.85 & ( V0l
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4829e1 ) @ V4828l_27 ) ) ) ) )
% 5.55/5.85 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.55/5.85 <=> ? [V4830l_27: $i] :
% 5.55/5.85 ( ( mem @ V4830l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 & ? [V4831e1: $i] :
% 5.55/5.85 ( ( mem @ V4831e1 @ A_27a )
% 5.55/5.85 & ( V0l
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4831e1 ) @ V4830l_27 ) ) ) ) )
% 5.55/5.85 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.85 <=> ? [V4832l_27: $i] :
% 5.55/5.85 ( ( mem @ V4832l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 & ? [V4833e1: $i] :
% 5.55/5.85 ( ( mem @ V4833e1 @ A_27a )
% 5.55/5.85 & ( V0l
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4833e1 ) @ V4832l_27 ) ) ) ) )
% 5.55/5.85 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.85 <=> ? [V4834l_27: $i] :
% 5.55/5.85 ( ( mem @ V4834l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 & ? [V4835e1: $i] :
% 5.55/5.85 ( ( mem @ V4835e1 @ A_27a )
% 5.55/5.85 & ( V0l
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4835e1 ) @ V4834l_27 ) ) ) ) )
% 5.55/5.85 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.85 <=> ? [V4836l_27: $i] :
% 5.55/5.85 ( ( mem @ V4836l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 & ? [V4837e1: $i] :
% 5.55/5.85 ( ( mem @ V4837e1 @ A_27a )
% 5.55/5.85 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4836l_27 ) ) )
% 5.55/5.85 & ( V0l
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4837e1 ) @ V4836l_27 ) ) ) ) )
% 5.55/5.85 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.85 <=> ? [V4838l_27: $i] :
% 5.55/5.85 ( ( mem @ V4838l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 & ? [V4839e1: $i] :
% 5.55/5.85 ( ( mem @ V4839e1 @ A_27a )
% 5.55/5.85 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4838l_27 ) ) )
% 5.55/5.85 & ( V0l
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4839e1 ) @ V4838l_27 ) ) ) ) )
% 5.55/5.85 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.85 <=> ? [V4840l_27: $i] :
% 5.55/5.85 ( ( mem @ V4840l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 & ? [V4841e1: $i] :
% 5.55/5.85 ( ( mem @ V4841e1 @ A_27a )
% 5.55/5.85 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4840l_27 ) ) )
% 5.55/5.85 & ( V0l
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4841e1 ) @ V4840l_27 ) ) ) ) )
% 5.55/5.85 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.85 <=> ? [V4842l_27: $i] :
% 5.55/5.85 ( ( mem @ V4842l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 & ? [V4843e1: $i] :
% 5.55/5.85 ( ( mem @ V4843e1 @ A_27a )
% 5.55/5.85 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4842l_27 ) ) )
% 5.55/5.85 & ( V0l
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4843e1 ) @ V4842l_27 ) ) ) ) )
% 5.55/5.85 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.85 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.55/5.85 <=> ? [V4844l_27: $i] :
% 5.55/5.85 ( ( mem @ V4844l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 & ? [V4845e1: $i] :
% 5.55/5.85 ( ( mem @ V4845e1 @ A_27a )
% 5.55/5.85 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4844l_27 ) )
% 5.55/5.85 = V1x )
% 5.55/5.85 & ( V0l
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4845e1 ) @ V4844l_27 ) ) ) ) )
% 5.55/5.85 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.55/5.85 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.85 <=> ? [V4846l_27: $i] :
% 5.55/5.85 ( ( mem @ V4846l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 & ? [V4847e1: $i] :
% 5.55/5.85 ( ( mem @ V4847e1 @ A_27a )
% 5.55/5.85 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4846l_27 ) )
% 5.55/5.85 = V1x )
% 5.55/5.85 & ( V0l
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4847e1 ) @ V4846l_27 ) ) ) ) )
% 5.55/5.85 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.85 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.55/5.85 <=> ? [V4848l_27: $i] :
% 5.55/5.85 ( ( mem @ V4848l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 & ? [V4849e1: $i] :
% 5.55/5.85 ( ( mem @ V4849e1 @ A_27a )
% 5.55/5.85 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4848l_27 ) )
% 5.55/5.85 = V1x )
% 5.55/5.85 & ( V0l
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4849e1 ) @ V4848l_27 ) ) ) ) )
% 5.55/5.85 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.85 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.85 <=> ? [V4850l_27: $i] :
% 5.55/5.85 ( ( mem @ V4850l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 & ? [V4851e1: $i] :
% 5.55/5.85 ( ( mem @ V4851e1 @ A_27a )
% 5.55/5.85 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4850l_27 ) )
% 5.55/5.85 = V1x )
% 5.55/5.85 & ( V0l
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4851e1 ) @ V4850l_27 ) ) ) ) )
% 5.55/5.85 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.85 = fo__c_2Enum_2E0 )
% 5.55/5.85 <=> ( V0l
% 5.55/5.85 = ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.85 & ( ( fo__c_2Enum_2E0
% 5.55/5.85 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.85 <=> ( V0l
% 5.55/5.85 = ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.85 & ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.55/5.85 <=> ( V0l
% 5.55/5.85 = ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.85 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.85 <=> ( V0l
% 5.55/5.85 = ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.85 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.85 <=> ( V0l
% 5.55/5.85 = ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.85 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.55/5.85 <=> ( V0l
% 5.55/5.85 = ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2EquantHeuristics_2ELIST__LENGTH__COMPARE__SUC,axiom,
% 5.55/5.85 ! [A_27a: del,V0x: tp__ty_2Enum_2Enum,V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0x ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l ) ) )
% 5.55/5.85 <=> ? [V2l_27: $i] :
% 5.55/5.85 ( ( mem @ V2l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 & ? [V3e1: $i] :
% 5.55/5.85 ( ( mem @ V3e1 @ A_27a )
% 5.55/5.85 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2l_27 ) ) )
% 5.55/5.85 & ( V1l
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3e1 ) @ V2l_27 ) ) ) ) )
% 5.55/5.85 & ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l ) ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0x ) ) ) )
% 5.55/5.85 <=> ? [V4l_27: $i] :
% 5.55/5.85 ( ( mem @ V4l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 & ? [V5e1: $i] :
% 5.55/5.85 ( ( mem @ V5e1 @ A_27a )
% 5.55/5.85 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4l_27 ) ) )
% 5.55/5.85 & ( V1l
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V5e1 ) @ V4l_27 ) ) ) ) )
% 5.55/5.85 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l ) )
% 5.55/5.85 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0x ) ) ) )
% 5.55/5.85 <=> ? [V6l_27: $i] :
% 5.55/5.85 ( ( mem @ V6l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 & ? [V7e1: $i] :
% 5.55/5.85 ( ( mem @ V7e1 @ A_27a )
% 5.55/5.85 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V6l_27 ) )
% 5.55/5.85 = V0x )
% 5.55/5.85 & ( V1l
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V7e1 ) @ V6l_27 ) ) ) ) )
% 5.55/5.85 & ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0x ) ) )
% 5.55/5.85 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l ) ) )
% 5.55/5.85 <=> ? [V8l_27: $i] :
% 5.55/5.85 ( ( mem @ V8l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 & ? [V9e1: $i] :
% 5.55/5.85 ( ( mem @ V9e1 @ A_27a )
% 5.55/5.85 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V8l_27 ) )
% 5.55/5.85 = V0x )
% 5.55/5.85 & ( V1l
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V9e1 ) @ V8l_27 ) ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2EquantHeuristics_2EHD__TL__EQ__THMS,axiom,
% 5.55/5.85 ! [A_27a: del] :
% 5.55/5.85 ( ! [V0l: $i] :
% 5.55/5.85 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ V0l ) ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V0l ) )
% 5.55/5.85 = V0l )
% 5.55/5.85 <=> ( V0l
% 5.55/5.85 != ( c_2Elist_2ENIL @ A_27a ) ) ) )
% 5.55/5.85 & ! [V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ V1l ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V1l ) ) ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V1l ) ) ) )
% 5.55/5.85 = V1l )
% 5.55/5.85 <=> ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.85 & ! [V2l: $i] :
% 5.55/5.85 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ V2l ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V2l ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V2l ) ) ) ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V2l ) ) ) ) ) )
% 5.55/5.85 = V2l )
% 5.55/5.85 <=> ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.85 & ! [V3l: $i] :
% 5.55/5.85 ( ( mem @ V3l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ V3l ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V3l ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V3l ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V3l ) ) ) ) ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V3l ) ) ) ) ) ) ) )
% 5.55/5.85 = V3l )
% 5.55/5.85 <=> ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V3l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.85 & ! [V4l: $i] :
% 5.55/5.85 ( ( mem @ V4l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ V4l ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V4l ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V4l ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V4l ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V4l ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V4l ) ) ) ) ) ) ) ) ) )
% 5.55/5.85 = V4l )
% 5.55/5.85 <=> ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.85 & ! [V5l: $i] :
% 5.55/5.85 ( ( mem @ V5l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ V5l ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V5l ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V5l ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V5l ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V5l ) ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V5l ) ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V5l ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.85 = V5l )
% 5.55/5.85 <=> ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V5l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.85 & ! [V6l: $i] :
% 5.55/5.85 ( ( mem @ V6l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ V6l ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V6l ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V6l ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V6l ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V6l ) ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V6l ) ) ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V6l ) ) ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V6l ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.85 = V6l )
% 5.55/5.85 <=> ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V6l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.85 & ! [V7l: $i] :
% 5.55/5.85 ( ( mem @ V7l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ V7l ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V7l ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V7l ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V7l ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V7l ) ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V7l ) ) ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V7l ) ) ) ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V7l ) ) ) ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V7l ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.85 = V7l )
% 5.55/5.85 <=> ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V7l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) )
% 5.55/5.85 & ! [V8l: $i] :
% 5.55/5.85 ( ( mem @ V8l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ V8l ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V8l ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V8l ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V8l ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V8l ) ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V8l ) ) ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V8l ) ) ) ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V8l ) ) ) ) ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V8l ) ) ) ) ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V8l ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.85 = V8l )
% 5.55/5.85 <=> ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V8l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) )
% 5.55/5.85 & ! [V9l: $i] :
% 5.55/5.85 ( ( mem @ V9l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ V9l ) ) @ ( c_2Elist_2ENIL @ A_27a ) )
% 5.55/5.85 = V9l )
% 5.55/5.85 <=> ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V9l ) )
% 5.55/5.85 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.85 & ! [V10l: $i] :
% 5.55/5.85 ( ( mem @ V10l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ V10l ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V10l ) ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.85 = V10l )
% 5.55/5.85 <=> ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V10l ) )
% 5.55/5.85 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.85 & ! [V11l: $i] :
% 5.55/5.85 ( ( mem @ V11l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ V11l ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V11l ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V11l ) ) ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) )
% 5.55/5.85 = V11l )
% 5.55/5.85 <=> ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V11l ) )
% 5.55/5.85 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.85 & ! [V12l: $i] :
% 5.55/5.85 ( ( mem @ V12l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ V12l ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V12l ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V12l ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V12l ) ) ) ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) )
% 5.55/5.85 = V12l )
% 5.55/5.85 <=> ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V12l ) )
% 5.55/5.85 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.85 & ! [V13l: $i] :
% 5.55/5.85 ( ( mem @ V13l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ V13l ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V13l ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V13l ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V13l ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V13l ) ) ) ) ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) )
% 5.55/5.85 = V13l )
% 5.55/5.85 <=> ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V13l ) )
% 5.55/5.85 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.85 & ! [V14l: $i] :
% 5.55/5.85 ( ( mem @ V14l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ V14l ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V14l ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V14l ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V14l ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V14l ) ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V14l ) ) ) ) ) ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) )
% 5.55/5.85 = V14l )
% 5.55/5.85 <=> ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V14l ) )
% 5.55/5.85 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.85 & ! [V15l: $i] :
% 5.55/5.85 ( ( mem @ V15l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ V15l ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V15l ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V15l ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V15l ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V15l ) ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V15l ) ) ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V15l ) ) ) ) ) ) ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) )
% 5.55/5.85 = V15l )
% 5.55/5.85 <=> ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V15l ) )
% 5.55/5.85 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) )
% 5.55/5.85 & ! [V16l: $i] :
% 5.55/5.85 ( ( mem @ V16l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ V16l ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V16l ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V16l ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V16l ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V16l ) ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V16l ) ) ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V16l ) ) ) ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V16l ) ) ) ) ) ) ) ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) )
% 5.55/5.85 = V16l )
% 5.55/5.85 <=> ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V16l ) )
% 5.55/5.85 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) )
% 5.55/5.85 & ! [V17l: $i] :
% 5.55/5.85 ( ( mem @ V17l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ V17l ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V17l ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V17l ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V17l ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V17l ) ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V17l ) ) ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V17l ) ) ) ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V17l ) ) ) ) ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V17l ) ) ) ) ) ) ) ) ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) )
% 5.55/5.85 = V17l )
% 5.55/5.85 <=> ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V17l ) )
% 5.55/5.85 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) )
% 5.55/5.85 & ! [V18l: $i] :
% 5.55/5.85 ( ( mem @ V18l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( V18l
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ V18l ) ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V18l ) ) )
% 5.55/5.85 <=> ( V18l
% 5.55/5.85 != ( c_2Elist_2ENIL @ A_27a ) ) ) )
% 5.55/5.85 & ! [V19l: $i] :
% 5.55/5.85 ( ( mem @ V19l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( V19l
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ V19l ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V19l ) ) ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V19l ) ) ) ) )
% 5.55/5.85 <=> ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V19l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.85 & ! [V20l: $i] :
% 5.55/5.85 ( ( mem @ V20l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( V20l
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ V20l ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V20l ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V20l ) ) ) ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V20l ) ) ) ) ) ) )
% 5.55/5.85 <=> ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V20l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.85 & ! [V21l: $i] :
% 5.55/5.85 ( ( mem @ V21l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( V21l
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ V21l ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V21l ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V21l ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V21l ) ) ) ) ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V21l ) ) ) ) ) ) ) ) )
% 5.55/5.85 <=> ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V21l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.85 & ! [V22l: $i] :
% 5.55/5.85 ( ( mem @ V22l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( V22l
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ V22l ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V22l ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V22l ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V22l ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V22l ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V22l ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.85 <=> ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V22l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.85 & ! [V23l: $i] :
% 5.55/5.85 ( ( mem @ V23l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( V23l
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ V23l ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V23l ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V23l ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V23l ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V23l ) ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V23l ) ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V23l ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.85 <=> ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V23l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.85 & ! [V24l: $i] :
% 5.55/5.85 ( ( mem @ V24l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( V24l
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ V24l ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V24l ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V24l ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V24l ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V24l ) ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V24l ) ) ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V24l ) ) ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V24l ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.85 <=> ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V24l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.85 & ! [V25l: $i] :
% 5.55/5.85 ( ( mem @ V25l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( V25l
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ V25l ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V25l ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V25l ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V25l ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V25l ) ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V25l ) ) ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V25l ) ) ) ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V25l ) ) ) ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V25l ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.85 <=> ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V25l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) )
% 5.55/5.85 & ! [V26l: $i] :
% 5.55/5.85 ( ( mem @ V26l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( V26l
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ V26l ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V26l ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V26l ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V26l ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V26l ) ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V26l ) ) ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V26l ) ) ) ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V26l ) ) ) ) ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V26l ) ) ) ) ) ) ) ) ) ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V26l ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.85 <=> ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V26l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) )
% 5.55/5.85 & ! [V27l: $i] :
% 5.55/5.85 ( ( mem @ V27l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( V27l
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ V27l ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.85 <=> ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V27l ) )
% 5.55/5.85 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.85 & ! [V28l: $i] :
% 5.55/5.85 ( ( mem @ V28l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( V28l
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ V28l ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V28l ) ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) )
% 5.55/5.85 <=> ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V28l ) )
% 5.55/5.85 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.85 & ! [V29l: $i] :
% 5.55/5.85 ( ( mem @ V29l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( V29l
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ V29l ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V29l ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V29l ) ) ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) )
% 5.55/5.85 <=> ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V29l ) )
% 5.55/5.85 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.85 & ! [V30l: $i] :
% 5.55/5.85 ( ( mem @ V30l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( V30l
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ V30l ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V30l ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V30l ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V30l ) ) ) ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) )
% 5.55/5.85 <=> ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V30l ) )
% 5.55/5.85 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.85 & ! [V31l: $i] :
% 5.55/5.85 ( ( mem @ V31l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( V31l
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ V31l ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V31l ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V31l ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V31l ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V31l ) ) ) ) ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) )
% 5.55/5.85 <=> ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V31l ) )
% 5.55/5.85 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.85 & ! [V32l: $i] :
% 5.55/5.85 ( ( mem @ V32l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( V32l
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ V32l ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V32l ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V32l ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V32l ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V32l ) ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V32l ) ) ) ) ) ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) )
% 5.55/5.85 <=> ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V32l ) )
% 5.55/5.85 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.55/5.85 & ! [V33l: $i] :
% 5.55/5.85 ( ( mem @ V33l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( V33l
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ V33l ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V33l ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V33l ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V33l ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V33l ) ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V33l ) ) ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V33l ) ) ) ) ) ) ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) )
% 5.55/5.85 <=> ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V33l ) )
% 5.55/5.85 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) )
% 5.55/5.85 & ! [V34l: $i] :
% 5.55/5.85 ( ( mem @ V34l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( V34l
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ V34l ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V34l ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V34l ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V34l ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V34l ) ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V34l ) ) ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V34l ) ) ) ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V34l ) ) ) ) ) ) ) ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) )
% 5.55/5.85 <=> ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V34l ) )
% 5.55/5.85 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) )
% 5.55/5.85 & ! [V35l: $i] :
% 5.55/5.85 ( ( mem @ V35l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( V35l
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ V35l ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V35l ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V35l ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V35l ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V35l ) ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V35l ) ) ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V35l ) ) ) ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V35l ) ) ) ) ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V35l ) ) ) ) ) ) ) ) ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) )
% 5.55/5.85 <=> ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V35l ) )
% 5.55/5.85 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2EquantHeuristics_2ESOME__THE__EQ,axiom,
% 5.55/5.85 ! [A_27a: del,V0opt: $i] :
% 5.55/5.85 ( ( mem @ V0opt @ ( ty_2Eoption_2Eoption @ A_27a ) )
% 5.55/5.85 => ( ( ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ ( ap @ ( c_2Eoption_2ETHE @ A_27a ) @ V0opt ) )
% 5.55/5.85 = V0opt )
% 5.55/5.85 <=> ( p @ ( ap @ ( c_2Eoption_2EIS__SOME @ A_27a ) @ V0opt ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2EquantHeuristics_2ESOME__THE__EQ__SYM,axiom,
% 5.55/5.85 ! [A_27a: del,V0opt: $i] :
% 5.55/5.85 ( ( mem @ V0opt @ ( ty_2Eoption_2Eoption @ A_27a ) )
% 5.55/5.85 => ( ( V0opt
% 5.55/5.85 = ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ ( ap @ ( c_2Eoption_2ETHE @ A_27a ) @ V0opt ) ) )
% 5.55/5.85 <=> ( p @ ( ap @ ( c_2Eoption_2EIS__SOME @ A_27a ) @ V0opt ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2EquantHeuristics_2EFST__PAIR__EQ,axiom,
% 5.55/5.85 ! [A_27a: del,A_27b: del,V0p: $i] :
% 5.55/5.85 ( ( mem @ V0p @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) )
% 5.55/5.85 => ! [V1p2: $i] :
% 5.55/5.85 ( ( mem @ V1p2 @ A_27b )
% 5.55/5.85 => ( ( ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ ( ap @ ( c_2Epair_2EFST @ A_27a @ A_27b ) @ V0p ) ) @ V1p2 )
% 5.55/5.85 = V0p )
% 5.55/5.85 <=> ( V1p2
% 5.55/5.85 = ( ap @ ( c_2Epair_2ESND @ A_27a @ A_27b ) @ V0p ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2EquantHeuristics_2ESND__PAIR__EQ,axiom,
% 5.55/5.85 ! [A_27a: del,A_27b: del,V0p: $i] :
% 5.55/5.85 ( ( mem @ V0p @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) )
% 5.55/5.85 => ! [V1p1: $i] :
% 5.55/5.85 ( ( mem @ V1p1 @ A_27a )
% 5.55/5.85 => ( ( ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V1p1 ) @ ( ap @ ( c_2Epair_2ESND @ A_27a @ A_27b ) @ V0p ) )
% 5.55/5.85 = V0p )
% 5.55/5.85 <=> ( V1p1
% 5.55/5.85 = ( ap @ ( c_2Epair_2EFST @ A_27a @ A_27b ) @ V0p ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2EquantHeuristics_2EFST__PAIR__EQ__SYM,axiom,
% 5.55/5.85 ! [A_27a: del,A_27b: del,V0p: $i] :
% 5.55/5.85 ( ( mem @ V0p @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) )
% 5.55/5.85 => ! [V1p2: $i] :
% 5.55/5.85 ( ( mem @ V1p2 @ A_27b )
% 5.55/5.85 => ( ( V0p
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ ( ap @ ( c_2Epair_2EFST @ A_27a @ A_27b ) @ V0p ) ) @ V1p2 ) )
% 5.55/5.85 <=> ( ( ap @ ( c_2Epair_2ESND @ A_27a @ A_27b ) @ V0p )
% 5.55/5.85 = V1p2 ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2EquantHeuristics_2ESND__PAIR__EQ__SYM,axiom,
% 5.55/5.85 ! [A_27a: del,A_27b: del,V0p: $i] :
% 5.55/5.85 ( ( mem @ V0p @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) )
% 5.55/5.85 => ! [V1p1: $i] :
% 5.55/5.85 ( ( mem @ V1p1 @ A_27a )
% 5.55/5.85 => ( ( V0p
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V1p1 ) @ ( ap @ ( c_2Epair_2ESND @ A_27a @ A_27b ) @ V0p ) ) )
% 5.55/5.85 <=> ( ( ap @ ( c_2Epair_2EFST @ A_27a @ A_27b ) @ V0p )
% 5.55/5.85 = V1p1 ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 %------------------------------------------------------------------------------
% 5.55/5.85 %------------------------------------------------------------------------------
% 5.55/5.85 thf(stp_c_ty_2Elist_2Elist_o,type,
% 5.55/5.85 tp__c_ty_2Elist_2Elist_o: $tType ).
% 5.55/5.85
% 5.55/5.85 thf(stp_inj_c_ty_2Elist_2Elist_o,type,
% 5.55/5.85 inj__c_ty_2Elist_2Elist_o: tp__c_ty_2Elist_2Elist_o > $i ).
% 5.55/5.85
% 5.55/5.85 thf(stp_surj_c_ty_2Elist_2Elist_o,type,
% 5.55/5.85 surj__c_ty_2Elist_2Elist_o: $i > tp__c_ty_2Elist_2Elist_o ).
% 5.55/5.85
% 5.55/5.85 thf(stp_inj_surj_c_ty_2Elist_2Elist_o,axiom,
% 5.55/5.85 ! [X: tp__c_ty_2Elist_2Elist_o] :
% 5.55/5.85 ( ( surj__c_ty_2Elist_2Elist_o @ ( inj__c_ty_2Elist_2Elist_o @ X ) )
% 5.55/5.85 = X ) ).
% 5.55/5.85
% 5.55/5.85 thf(stp_inj_mem_c_ty_2Elist_2Elist_o,axiom,
% 5.55/5.85 ! [X: tp__c_ty_2Elist_2Elist_o] : ( mem @ ( inj__c_ty_2Elist_2Elist_o @ X ) @ ( ty_2Elist_2Elist @ bool ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(stp_iso_mem_c_ty_2Elist_2Elist_o,axiom,
% 5.55/5.85 ! [X: $i] :
% 5.55/5.85 ( ( mem @ X @ ( ty_2Elist_2Elist @ bool ) )
% 5.55/5.85 => ( X
% 5.55/5.85 = ( inj__c_ty_2Elist_2Elist_o @ ( surj__c_ty_2Elist_2Elist_o @ X ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(tp_c_2Erich__list_2EAND__EL,type,
% 5.55/5.85 c_2Erich__list_2EAND__EL: $i ).
% 5.55/5.85
% 5.55/5.85 thf(mem_c_2Erich__list_2EAND__EL,axiom,
% 5.55/5.85 mem @ c_2Erich__list_2EAND__EL @ ( arr @ ( ty_2Elist_2Elist @ bool ) @ bool ) ).
% 5.55/5.85
% 5.55/5.85 thf(tp_c_2Erich__list_2EBUTLASTN,type,
% 5.55/5.85 c_2Erich__list_2EBUTLASTN: del > $i ).
% 5.55/5.85
% 5.55/5.85 thf(mem_c_2Erich__list_2EBUTLASTN,axiom,
% 5.55/5.85 ! [A_27a: del] : ( mem @ ( c_2Erich__list_2EBUTLASTN @ A_27a ) @ ( arr @ ty_2Enum_2Enum @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(tp_c_2Erich__list_2ECOUNT__LIST,type,
% 5.55/5.85 c_2Erich__list_2ECOUNT__LIST: $i ).
% 5.55/5.85
% 5.55/5.85 thf(mem_c_2Erich__list_2ECOUNT__LIST,axiom,
% 5.55/5.85 mem @ c_2Erich__list_2ECOUNT__LIST @ ( arr @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ ty_2Enum_2Enum ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(tp_c_2Erich__list_2ECOUNT__LIST__AUX,type,
% 5.55/5.85 c_2Erich__list_2ECOUNT__LIST__AUX: $i ).
% 5.55/5.85
% 5.55/5.85 thf(mem_c_2Erich__list_2ECOUNT__LIST__AUX,axiom,
% 5.55/5.85 mem @ c_2Erich__list_2ECOUNT__LIST__AUX @ ( arr @ ty_2Enum_2Enum @ ( arr @ ( ty_2Elist_2Elist @ ty_2Enum_2Enum ) @ ( ty_2Elist_2Elist @ ty_2Enum_2Enum ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(tp_c_2Erich__list_2EELL,type,
% 5.55/5.85 c_2Erich__list_2EELL: del > $i ).
% 5.55/5.85
% 5.55/5.85 thf(mem_c_2Erich__list_2EELL,axiom,
% 5.55/5.85 ! [A_27a: del] : ( mem @ ( c_2Erich__list_2EELL @ A_27a ) @ ( arr @ ty_2Enum_2Enum @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ A_27a ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(tp_c_2Erich__list_2EIS__SUBLIST,type,
% 5.55/5.85 c_2Erich__list_2EIS__SUBLIST: del > $i ).
% 5.55/5.85
% 5.55/5.85 thf(mem_c_2Erich__list_2EIS__SUBLIST,axiom,
% 5.55/5.85 ! [A_27a: del] : ( mem @ ( c_2Erich__list_2EIS__SUBLIST @ A_27a ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ bool ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(tp_c_2Erich__list_2EIS__SUFFIX,type,
% 5.55/5.85 c_2Erich__list_2EIS__SUFFIX: del > $i ).
% 5.55/5.85
% 5.55/5.85 thf(mem_c_2Erich__list_2EIS__SUFFIX,axiom,
% 5.55/5.85 ! [A_27a: del] : ( mem @ ( c_2Erich__list_2EIS__SUFFIX @ A_27a ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ bool ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(tp_c_2Erich__list_2ELASTN,type,
% 5.55/5.85 c_2Erich__list_2ELASTN: del > $i ).
% 5.55/5.85
% 5.55/5.85 thf(mem_c_2Erich__list_2ELASTN,axiom,
% 5.55/5.85 ! [A_27a: del] : ( mem @ ( c_2Erich__list_2ELASTN @ A_27a ) @ ( arr @ ty_2Enum_2Enum @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(tp_c_2Erich__list_2ELIST__ELEM__COUNT,type,
% 5.55/5.85 c_2Erich__list_2ELIST__ELEM__COUNT: del > $i ).
% 5.55/5.85
% 5.55/5.85 thf(mem_c_2Erich__list_2ELIST__ELEM__COUNT,axiom,
% 5.55/5.85 ! [A_27a: del] : ( mem @ ( c_2Erich__list_2ELIST__ELEM__COUNT @ A_27a ) @ ( arr @ A_27a @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ty_2Enum_2Enum ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(tp_c_2Erich__list_2EOR__EL,type,
% 5.55/5.85 c_2Erich__list_2EOR__EL: $i ).
% 5.55/5.85
% 5.55/5.85 thf(mem_c_2Erich__list_2EOR__EL,axiom,
% 5.55/5.85 mem @ c_2Erich__list_2EOR__EL @ ( arr @ ( ty_2Elist_2Elist @ bool ) @ bool ) ).
% 5.55/5.85
% 5.55/5.85 thf(tp_c_2Erich__list_2EPREFIX,type,
% 5.55/5.85 c_2Erich__list_2EPREFIX: del > $i ).
% 5.55/5.85
% 5.55/5.85 thf(mem_c_2Erich__list_2EPREFIX,axiom,
% 5.55/5.85 ! [A_27a: del] : ( mem @ ( c_2Erich__list_2EPREFIX @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(tp_c_2Erich__list_2EREPLICATE,type,
% 5.55/5.85 c_2Erich__list_2EREPLICATE: del > $i ).
% 5.55/5.85
% 5.55/5.85 thf(mem_c_2Erich__list_2EREPLICATE,axiom,
% 5.55/5.85 ! [A_27a: del] : ( mem @ ( c_2Erich__list_2EREPLICATE @ A_27a ) @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ ( ty_2Elist_2Elist @ A_27a ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(tp_c_2Erich__list_2ESCANL,type,
% 5.55/5.85 c_2Erich__list_2ESCANL: del > del > $i ).
% 5.55/5.85
% 5.55/5.85 thf(mem_c_2Erich__list_2ESCANL,axiom,
% 5.55/5.85 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Erich__list_2ESCANL @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27b @ ( arr @ A_27a @ A_27b ) ) @ ( arr @ A_27b @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27b ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(tp_c_2Erich__list_2ESCANR,type,
% 5.55/5.85 c_2Erich__list_2ESCANR: del > del > $i ).
% 5.55/5.85
% 5.55/5.85 thf(mem_c_2Erich__list_2ESCANR,axiom,
% 5.55/5.85 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Erich__list_2ESCANR @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27b @ A_27b ) ) @ ( arr @ A_27b @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27b ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(tp_c_2Erich__list_2ESEG,type,
% 5.55/5.85 c_2Erich__list_2ESEG: del > $i ).
% 5.55/5.85
% 5.55/5.85 thf(mem_c_2Erich__list_2ESEG,axiom,
% 5.55/5.85 ! [A_27a: del] : ( mem @ ( c_2Erich__list_2ESEG @ A_27a ) @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(tp_c_2Erich__list_2ESPLITL,type,
% 5.55/5.85 c_2Erich__list_2ESPLITL: del > $i ).
% 5.55/5.85
% 5.55/5.85 thf(mem_c_2Erich__list_2ESPLITL,axiom,
% 5.55/5.85 ! [A_27a: del] : ( mem @ ( c_2Erich__list_2ESPLITL @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(tp_c_2Erich__list_2ESPLITP,type,
% 5.55/5.85 c_2Erich__list_2ESPLITP: del > $i ).
% 5.55/5.85
% 5.55/5.85 thf(mem_c_2Erich__list_2ESPLITP,axiom,
% 5.55/5.85 ! [A_27a: del] : ( mem @ ( c_2Erich__list_2ESPLITP @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(tp_c_2Erich__list_2ESPLITP__AUX,type,
% 5.55/5.85 c_2Erich__list_2ESPLITP__AUX: del > $i ).
% 5.55/5.85
% 5.55/5.85 thf(mem_c_2Erich__list_2ESPLITP__AUX,axiom,
% 5.55/5.85 ! [A_27a: del] : ( mem @ ( c_2Erich__list_2ESPLITP__AUX @ A_27a ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(tp_c_2Erich__list_2ESPLITR,type,
% 5.55/5.85 c_2Erich__list_2ESPLITR: del > $i ).
% 5.55/5.85
% 5.55/5.85 thf(mem_c_2Erich__list_2ESPLITR,axiom,
% 5.55/5.85 ! [A_27a: del] : ( mem @ ( c_2Erich__list_2ESPLITR @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(tp_c_2Erich__list_2ESUFFIX,type,
% 5.55/5.85 c_2Erich__list_2ESUFFIX: del > $i ).
% 5.55/5.85
% 5.55/5.85 thf(mem_c_2Erich__list_2ESUFFIX,axiom,
% 5.55/5.85 ! [A_27a: del] : ( mem @ ( c_2Erich__list_2ESUFFIX @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(tp_c_2Erich__list_2ETL__T,type,
% 5.55/5.85 c_2Erich__list_2ETL__T: del > $i ).
% 5.55/5.85
% 5.55/5.85 thf(mem_c_2Erich__list_2ETL__T,axiom,
% 5.55/5.85 ! [A_27a: del] : ( mem @ ( c_2Erich__list_2ETL__T @ A_27a ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(tp_c_2Erich__list_2EUNZIP__FST,type,
% 5.55/5.85 c_2Erich__list_2EUNZIP__FST: del > del > $i ).
% 5.55/5.85
% 5.55/5.85 thf(mem_c_2Erich__list_2EUNZIP__FST,axiom,
% 5.55/5.85 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Erich__list_2EUNZIP__FST @ A_27a @ A_27b ) @ ( arr @ ( ty_2Elist_2Elist @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( ty_2Elist_2Elist @ A_27a ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(tp_c_2Erich__list_2EUNZIP__SND,type,
% 5.55/5.85 c_2Erich__list_2EUNZIP__SND: del > del > $i ).
% 5.55/5.85
% 5.55/5.85 thf(mem_c_2Erich__list_2EUNZIP__SND,axiom,
% 5.55/5.85 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Erich__list_2EUNZIP__SND @ A_27a @ A_27b ) @ ( arr @ ( ty_2Elist_2Elist @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) @ ( ty_2Elist_2Elist @ A_27a ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(tp_c_2Erich__list_2Ecommon__prefixes,type,
% 5.55/5.85 c_2Erich__list_2Ecommon__prefixes: del > $i ).
% 5.55/5.85
% 5.55/5.85 thf(mem_c_2Erich__list_2Ecommon__prefixes,axiom,
% 5.55/5.85 ! [A_27a: del] : ( mem @ ( c_2Erich__list_2Ecommon__prefixes @ A_27a ) @ ( arr @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ bool ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ bool ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(tp_c_2Erich__list_2Elongest__prefix,type,
% 5.55/5.85 c_2Erich__list_2Elongest__prefix: del > $i ).
% 5.55/5.85
% 5.55/5.85 thf(mem_c_2Erich__list_2Elongest__prefix,axiom,
% 5.55/5.85 ! [A_27a: del] : ( mem @ ( c_2Erich__list_2Elongest__prefix @ A_27a ) @ ( arr @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ bool ) @ ( ty_2Elist_2Elist @ A_27a ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(ax_thm_2Erich__list_2EELL,axiom,
% 5.55/5.85 ! [A_27a: del] :
% 5.55/5.85 ( ! [V0l: $i] :
% 5.55/5.85 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Erich__list_2EELL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ V0l )
% 5.55/5.85 = ( ap @ ( c_2Elist_2ELAST @ A_27a ) @ V0l ) ) )
% 5.55/5.85 & ! [V1n: tp__ty_2Enum_2Enum,V2l: $i] :
% 5.55/5.85 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Erich__list_2EELL @ A_27a ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ V2l )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Erich__list_2EELL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ ( c_2Elist_2EFRONT @ A_27a ) @ V2l ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EELL__compute,axiom,
% 5.55/5.85 ! [A_27a: del] :
% 5.55/5.85 ( ! [V0l: $i] :
% 5.55/5.85 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Erich__list_2EELL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ V0l )
% 5.55/5.85 = ( ap @ ( c_2Elist_2ELAST @ A_27a ) @ V0l ) ) )
% 5.55/5.85 & ! [V1n: tp__ty_2Enum_2Enum,V2l: $i] :
% 5.55/5.85 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Erich__list_2EELL @ A_27a ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) @ V2l )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Erich__list_2EELL @ A_27a ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( c_2Elist_2EFRONT @ A_27a ) @ V2l ) ) ) )
% 5.55/5.85 & ! [V3n: tp__ty_2Enum_2Enum,V4l: $i] :
% 5.55/5.85 ( ( mem @ V4l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Erich__list_2EELL @ A_27a ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) ) @ V4l )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Erich__list_2EELL @ A_27a ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) ) @ ( ap @ ( c_2Elist_2EFRONT @ A_27a ) @ V4l ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(ax_thm_2Erich__list_2EREPLICATE,axiom,
% 5.55/5.85 ! [A_27a: del] :
% 5.55/5.85 ( ! [V0x: $i] :
% 5.55/5.85 ( ( mem @ V0x @ A_27a )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Erich__list_2EREPLICATE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ V0x )
% 5.55/5.85 = ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.85 & ! [V1n: tp__ty_2Enum_2Enum,V2x: $i] :
% 5.55/5.85 ( ( mem @ V2x @ A_27a )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Erich__list_2EREPLICATE @ A_27a ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ V2x )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2x ) @ ( ap @ ( ap @ ( c_2Erich__list_2EREPLICATE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ V2x ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EREPLICATE__compute,axiom,
% 5.55/5.85 ! [A_27a: del] :
% 5.55/5.85 ( ! [V0x: $i] :
% 5.55/5.85 ( ( mem @ V0x @ A_27a )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Erich__list_2EREPLICATE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ V0x )
% 5.55/5.85 = ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.85 & ! [V1n: tp__ty_2Enum_2Enum,V2x: $i] :
% 5.55/5.85 ( ( mem @ V2x @ A_27a )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Erich__list_2EREPLICATE @ A_27a ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) @ V2x )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2x ) @ ( ap @ ( ap @ ( c_2Erich__list_2EREPLICATE @ A_27a ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ V2x ) ) ) )
% 5.55/5.85 & ! [V3n: tp__ty_2Enum_2Enum,V4x: $i] :
% 5.55/5.85 ( ( mem @ V4x @ A_27a )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Erich__list_2EREPLICATE @ A_27a ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) ) @ V4x )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4x ) @ ( ap @ ( ap @ ( c_2Erich__list_2EREPLICATE @ A_27a ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) ) @ V4x ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(ax_thm_2Erich__list_2ESCANL,axiom,
% 5.55/5.85 ! [A_27a: del,A_27b: del] :
% 5.55/5.85 ( ! [V0f: $i] :
% 5.55/5.85 ( ( mem @ V0f @ ( arr @ A_27b @ ( arr @ A_27a @ A_27b ) ) )
% 5.55/5.85 => ! [V1e: $i] :
% 5.55/5.85 ( ( mem @ V1e @ A_27b )
% 5.55/5.85 => ( ( ap @ ( ap @ ( ap @ ( c_2Erich__list_2ESCANL @ A_27a @ A_27b ) @ V0f ) @ V1e ) @ ( c_2Elist_2ENIL @ A_27a ) )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27b ) @ V1e ) @ ( c_2Elist_2ENIL @ A_27b ) ) ) ) )
% 5.55/5.85 & ! [V2f: $i] :
% 5.55/5.85 ( ( mem @ V2f @ ( arr @ A_27b @ ( arr @ A_27a @ A_27b ) ) )
% 5.55/5.85 => ! [V3e: $i] :
% 5.55/5.85 ( ( mem @ V3e @ A_27b )
% 5.55/5.85 => ! [V4x: $i] :
% 5.55/5.85 ( ( mem @ V4x @ A_27a )
% 5.55/5.85 => ! [V5l: $i] :
% 5.55/5.85 ( ( mem @ V5l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( ap @ ( c_2Erich__list_2ESCANL @ A_27a @ A_27b ) @ V2f ) @ V3e ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4x ) @ V5l ) )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27b ) @ V3e ) @ ( ap @ ( ap @ ( ap @ ( c_2Erich__list_2ESCANL @ A_27a @ A_27b ) @ V2f ) @ ( ap @ ( ap @ V2f @ V3e ) @ V4x ) ) @ V5l ) ) ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(ax_thm_2Erich__list_2ESCANR,axiom,
% 5.55/5.85 ! [A_27a: del,A_27b: del] :
% 5.55/5.85 ( ! [V0f: $i] :
% 5.55/5.85 ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27b @ A_27b ) ) )
% 5.55/5.85 => ! [V1e: $i] :
% 5.55/5.85 ( ( mem @ V1e @ A_27b )
% 5.55/5.85 => ( ( ap @ ( ap @ ( ap @ ( c_2Erich__list_2ESCANR @ A_27a @ A_27b ) @ V0f ) @ V1e ) @ ( c_2Elist_2ENIL @ A_27a ) )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27b ) @ V1e ) @ ( c_2Elist_2ENIL @ A_27b ) ) ) ) )
% 5.55/5.85 & ! [V2f: $i] :
% 5.55/5.85 ( ( mem @ V2f @ ( arr @ A_27a @ ( arr @ A_27b @ A_27b ) ) )
% 5.55/5.85 => ! [V3e: $i] :
% 5.55/5.85 ( ( mem @ V3e @ A_27b )
% 5.55/5.85 => ! [V4x: $i] :
% 5.55/5.85 ( ( mem @ V4x @ A_27a )
% 5.55/5.85 => ! [V5l: $i] :
% 5.55/5.85 ( ( mem @ V5l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( ap @ ( c_2Erich__list_2ESCANR @ A_27a @ A_27b ) @ V2f ) @ V3e ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4x ) @ V5l ) )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27b ) @ ( ap @ ( ap @ V2f @ V4x ) @ ( ap @ ( c_2Elist_2EHD @ A_27b ) @ ( ap @ ( ap @ ( ap @ ( c_2Erich__list_2ESCANR @ A_27a @ A_27b ) @ V2f ) @ V3e ) @ V5l ) ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Erich__list_2ESCANR @ A_27a @ A_27b ) @ V2f ) @ V3e ) @ V5l ) ) ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(ax_thm_2Erich__list_2ESPLITP,axiom,
% 5.55/5.85 ! [A_27a: del] :
% 5.55/5.85 ( ! [V0P: $i] :
% 5.55/5.85 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Erich__list_2ESPLITP @ A_27a ) @ V0P ) @ ( c_2Elist_2ENIL @ A_27a ) )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) )
% 5.55/5.85 & ! [V1P: $i] :
% 5.55/5.85 ( ( mem @ V1P @ ( arr @ A_27a @ bool ) )
% 5.55/5.85 => ! [V2x: $i] :
% 5.55/5.85 ( ( mem @ V2x @ A_27a )
% 5.55/5.85 => ! [V3l: $i] :
% 5.55/5.85 ( ( mem @ V3l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Erich__list_2ESPLITP @ A_27a ) @ V1P ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2x ) @ V3l ) )
% 5.55/5.85 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) ) @ ( ap @ V1P @ V2x ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2x ) @ V3l ) ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2x ) @ ( ap @ ( c_2Epair_2EFST @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Erich__list_2ESPLITP @ A_27a ) @ V1P ) @ V3l ) ) ) ) @ ( ap @ ( c_2Epair_2ESND @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Erich__list_2ESPLITP @ A_27a ) @ V1P ) @ V3l ) ) ) ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(ax_thm_2Erich__list_2ESPLITP__AUX__def,axiom,
% 5.55/5.85 ! [A_27a: del] :
% 5.55/5.85 ( ! [V0acc: $i] :
% 5.55/5.85 ( ( mem @ V0acc @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V1P: $i] :
% 5.55/5.85 ( ( mem @ V1P @ ( arr @ A_27a @ bool ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( ap @ ( c_2Erich__list_2ESPLITP__AUX @ A_27a ) @ V0acc ) @ V1P ) @ ( c_2Elist_2ENIL @ A_27a ) )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) @ V0acc ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) )
% 5.55/5.85 & ! [V2acc: $i] :
% 5.55/5.85 ( ( mem @ V2acc @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V3P: $i] :
% 5.55/5.85 ( ( mem @ V3P @ ( arr @ A_27a @ bool ) )
% 5.55/5.85 => ! [V4h: $i] :
% 5.55/5.85 ( ( mem @ V4h @ A_27a )
% 5.55/5.85 => ! [V5t: $i] :
% 5.55/5.85 ( ( mem @ V5t @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( ap @ ( c_2Erich__list_2ESPLITP__AUX @ A_27a ) @ V2acc ) @ V3P ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4h ) @ V5t ) )
% 5.55/5.85 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) ) @ ( ap @ V3P @ V4h ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) @ V2acc ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4h ) @ V5t ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Erich__list_2ESPLITP__AUX @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V2acc ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4h ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) @ V3P ) @ V5t ) ) ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(ax_thm_2Erich__list_2ESPLITL__def,axiom,
% 5.55/5.85 ! [A_27a: del,V0P: $i] :
% 5.55/5.85 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.85 => ( ( ap @ ( c_2Erich__list_2ESPLITL @ A_27a ) @ V0P )
% 5.55/5.85 = ( ap @ ( c_2Erich__list_2ESPLITP @ A_27a ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27a @ bool @ bool ) @ c_2Ebool_2E_7E ) @ V0P ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(ax_thm_2Erich__list_2ESPLITR__def,axiom,
% 5.55/5.85 ! [A_27a: del,V0P: $i] :
% 5.55/5.85 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.85 => ! [V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Erich__list_2ESPLITR @ A_27a ) @ V0P ) @ V1l )
% 5.55/5.85 = ( ap
% 5.55/5.85 @ ( ap @ ( c_2Ebool_2ELET @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) )
% 5.55/5.85 @ ( ap @ ( c_2Epair_2EUNCURRY @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) )
% 5.55/5.85 @ ( lam @ ( ty_2Elist_2Elist @ A_27a )
% 5.55/5.85 @ ^ [V2a: $i] :
% 5.55/5.85 ( lam @ ( ty_2Elist_2Elist @ A_27a )
% 5.55/5.85 @ ^ [V3b: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ V3b ) ) @ ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ V2a ) ) ) ) ) )
% 5.55/5.85 @ ( ap @ ( ap @ ( c_2Erich__list_2ESPLITP @ A_27a ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27a @ bool @ bool ) @ c_2Ebool_2E_7E ) @ V0P ) ) @ ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ V1l ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(ax_thm_2Erich__list_2EPREFIX__DEF,axiom,
% 5.55/5.85 ! [A_27a: del,V0P: $i] :
% 5.55/5.85 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.85 => ! [V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Erich__list_2EPREFIX @ A_27a ) @ V0P ) @ V1l )
% 5.55/5.85 = ( ap @ ( c_2Epair_2EFST @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Erich__list_2ESPLITP @ A_27a ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27a @ bool @ bool ) @ c_2Ebool_2E_7E ) @ V0P ) ) @ V1l ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(ax_thm_2Erich__list_2ESUFFIX__DEF,axiom,
% 5.55/5.85 ! [A_27a: del,V0P: $i] :
% 5.55/5.85 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.85 => ! [V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Erich__list_2ESUFFIX @ A_27a ) @ V0P ) @ V1l )
% 5.55/5.85 = ( ap
% 5.55/5.85 @ ( ap
% 5.55/5.85 @ ( ap @ ( c_2Elist_2EFOLDL @ A_27a @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 @ ( lam @ ( ty_2Elist_2Elist @ A_27a )
% 5.55/5.85 @ ^ [V2l_27: $i] :
% 5.55/5.85 ( lam @ A_27a
% 5.55/5.85 @ ^ [V3x: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ap @ V0P @ V3x ) ) @ ( ap @ ( ap @ ( c_2Elist_2ESNOC @ A_27a ) @ V3x ) @ V2l_27 ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) )
% 5.55/5.85 @ ( c_2Elist_2ENIL @ A_27a ) )
% 5.55/5.85 @ V1l ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(ax_thm_2Erich__list_2EAND__EL__DEF,axiom,
% 5.55/5.85 ( c_2Erich__list_2EAND__EL
% 5.55/5.85 = ( ap @ ( c_2Elist_2EEVERY @ bool ) @ ( c_2Ecombin_2EI @ bool ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(ax_thm_2Erich__list_2EOR__EL__DEF,axiom,
% 5.55/5.85 ( c_2Erich__list_2EOR__EL
% 5.55/5.85 = ( ap @ ( c_2Elist_2EEXISTS @ bool ) @ ( c_2Ecombin_2EI @ bool ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(ax_thm_2Erich__list_2EUNZIP__FST__DEF,axiom,
% 5.55/5.85 ! [A_27a: del,A_27b: del,V0l: $i] :
% 5.55/5.85 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) )
% 5.55/5.85 => ( ( ap @ ( c_2Erich__list_2EUNZIP__FST @ A_27a @ A_27b ) @ V0l )
% 5.55/5.85 = ( ap @ ( c_2Epair_2EFST @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27b ) ) @ ( ap @ ( c_2Elist_2EUNZIP @ A_27a @ A_27b ) @ V0l ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(ax_thm_2Erich__list_2EUNZIP__SND__DEF,axiom,
% 5.55/5.85 ! [A_27a: del,A_27b: del,V0l: $i] :
% 5.55/5.85 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) )
% 5.55/5.85 => ( ( ap @ ( c_2Erich__list_2EUNZIP__SND @ A_27a @ A_27b ) @ V0l )
% 5.55/5.85 = ( ap @ ( c_2Epair_2ESND @ ( ty_2Elist_2Elist @ A_27b ) @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ap @ ( c_2Elist_2EUNZIP @ A_27b @ A_27a ) @ V0l ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(ax_thm_2Erich__list_2ELIST__ELEM__COUNT__DEF,axiom,
% 5.55/5.85 ! [A_27a: del,V0e: $i] :
% 5.55/5.85 ( ( mem @ V0e @ A_27a )
% 5.55/5.85 => ! [V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( c_2Erich__list_2ELIST__ELEM__COUNT @ A_27a ) @ V0e ) @ V1l ) )
% 5.55/5.85 = ( surj__ty_2Enum_2Enum
% 5.55/5.85 @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a )
% 5.55/5.85 @ ( ap
% 5.55/5.85 @ ( ap @ ( c_2Elist_2EFILTER @ A_27a )
% 5.55/5.85 @ ( lam @ A_27a
% 5.55/5.85 @ ^ [V2x: $i] : ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V2x ) @ V0e ) ) )
% 5.55/5.85 @ V1l ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(ax_thm_2Erich__list_2ECOUNT__LIST__def,axiom,
% 5.55/5.85 ( ( ( surj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ ( ap @ c_2Erich__list_2ECOUNT__LIST @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.55/5.85 = ( surj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ ( c_2Elist_2ENIL @ ty_2Enum_2Enum ) ) )
% 5.55/5.85 & ! [V0n: tp__ty_2Enum_2Enum] :
% 5.55/5.85 ( ( surj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ ( ap @ c_2Erich__list_2ECOUNT__LIST @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) )
% 5.55/5.85 = ( surj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ c_2Enum_2ESUC ) @ ( ap @ c_2Erich__list_2ECOUNT__LIST @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(ax_thm_2Erich__list_2ECOUNT__LIST__AUX__def,axiom,
% 5.55/5.85 ( ! [V0l: tp__c_ty_2Elist_2Elist_ty_2Enum_2Enum] :
% 5.55/5.85 ( ( surj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Erich__list_2ECOUNT__LIST__AUX @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ V0l ) ) )
% 5.55/5.85 = V0l )
% 5.55/5.85 & ! [V1n: tp__ty_2Enum_2Enum,V2l: tp__c_ty_2Elist_2Elist_ty_2Enum_2Enum] :
% 5.55/5.85 ( ( surj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Erich__list_2ECOUNT__LIST__AUX @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ V2l ) ) )
% 5.55/5.85 = ( surj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Erich__list_2ECOUNT__LIST__AUX @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ V2l ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ECOUNT__LIST__AUX__def__compute,axiom,
% 5.55/5.85 ( ! [V0l: tp__c_ty_2Elist_2Elist_ty_2Enum_2Enum] :
% 5.55/5.85 ( ( surj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Erich__list_2ECOUNT__LIST__AUX @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ V0l ) ) )
% 5.55/5.85 = V0l )
% 5.55/5.85 & ! [V1n: tp__ty_2Enum_2Enum,V2l: tp__c_ty_2Elist_2Elist_ty_2Enum_2Enum] :
% 5.55/5.85 ( ( surj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Erich__list_2ECOUNT__LIST__AUX @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ V2l ) ) )
% 5.55/5.85 = ( surj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Erich__list_2ECOUNT__LIST__AUX @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ V2l ) ) ) ) )
% 5.55/5.85 & ! [V3n: tp__ty_2Enum_2Enum,V4l: tp__c_ty_2Elist_2Elist_ty_2Enum_2Enum] :
% 5.55/5.85 ( ( surj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Erich__list_2ECOUNT__LIST__AUX @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ V4l ) ) )
% 5.55/5.85 = ( surj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Erich__list_2ECOUNT__LIST__AUX @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ty_2Enum_2Enum ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ V4l ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(ax_thm_2Erich__list_2ETL__T__def,axiom,
% 5.55/5.85 ! [A_27a: del] :
% 5.55/5.85 ( ( ( ap @ ( c_2Erich__list_2ETL__T @ A_27a ) @ ( c_2Elist_2ENIL @ A_27a ) )
% 5.55/5.85 = ( c_2Elist_2ENIL @ A_27a ) )
% 5.55/5.85 & ! [V0h: $i] :
% 5.55/5.85 ( ( mem @ V0h @ A_27a )
% 5.55/5.85 => ! [V1t: $i] :
% 5.55/5.85 ( ( mem @ V1t @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( c_2Erich__list_2ETL__T @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V0h ) @ V1t ) )
% 5.55/5.85 = V1t ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ETAKE,axiom,
% 5.55/5.85 ! [A_27a: del] :
% 5.55/5.85 ( ! [V0l: $i] :
% 5.55/5.85 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Elist_2ETAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ V0l )
% 5.55/5.85 = ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.85 & ! [V1n: tp__ty_2Enum_2Enum,V2x: $i] :
% 5.55/5.85 ( ( mem @ V2x @ A_27a )
% 5.55/5.85 => ! [V3l: $i] :
% 5.55/5.85 ( ( mem @ V3l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Elist_2ETAKE @ A_27a ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2x ) @ V3l ) )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2x ) @ ( ap @ ( ap @ ( c_2Elist_2ETAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ V3l ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EDROP,axiom,
% 5.55/5.85 ! [A_27a: del] :
% 5.55/5.85 ( ! [V0l: $i] :
% 5.55/5.85 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Elist_2EDROP @ A_27a ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ V0l )
% 5.55/5.85 = V0l ) )
% 5.55/5.85 & ! [V1n: tp__ty_2Enum_2Enum,V2x: $i] :
% 5.55/5.85 ( ( mem @ V2x @ A_27a )
% 5.55/5.85 => ! [V3l: $i] :
% 5.55/5.85 ( ( mem @ V3l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Elist_2EDROP @ A_27a ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2x ) @ V3l ) )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2EDROP @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ V3l ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EDROP__FUNPOW__TL,axiom,
% 5.55/5.85 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Elist_2EDROP @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1l )
% 5.55/5.85 = ( ap @ ( ap @ ( ap @ ( c_2Earithmetic_2EFUNPOW @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( c_2Erich__list_2ETL__T @ A_27a ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1l ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ENOT__NULL__SNOC,axiom,
% 5.55/5.85 ! [A_27a: del,V0x: $i] :
% 5.55/5.85 ( ( mem @ V0x @ A_27a )
% 5.55/5.85 => ! [V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ~ ( p @ ( ap @ ( c_2Elist_2ENULL @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ESNOC @ A_27a ) @ V0x ) @ V1l ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(ax_thm_2Erich__list_2ELASTN__def,axiom,
% 5.55/5.85 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1xs: $i] :
% 5.55/5.85 ( ( mem @ V1xs @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Erich__list_2ELASTN @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1xs )
% 5.55/5.85 = ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ETAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ V1xs ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ELASTN,axiom,
% 5.55/5.85 ! [A_27a: del,A_27b: del] :
% 5.55/5.85 ( ! [V0l: $i] :
% 5.55/5.85 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Erich__list_2ELASTN @ A_27a ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ V0l )
% 5.55/5.85 = ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.85 & ! [V1n: tp__ty_2Enum_2Enum,V2x: $i] :
% 5.55/5.85 ( ( mem @ V2x @ A_27b )
% 5.55/5.85 => ! [V3l: $i] :
% 5.55/5.85 ( ( mem @ V3l @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Erich__list_2ELASTN @ A_27b ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ESNOC @ A_27b ) @ V2x ) @ V3l ) )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ESNOC @ A_27b ) @ V2x ) @ ( ap @ ( ap @ ( c_2Erich__list_2ELASTN @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ V3l ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(ax_thm_2Erich__list_2EBUTLASTN__def,axiom,
% 5.55/5.85 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1xs: $i] :
% 5.55/5.85 ( ( mem @ V1xs @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Erich__list_2EBUTLASTN @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1xs )
% 5.55/5.85 = ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EDROP @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ V1xs ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EBUTLASTN,axiom,
% 5.55/5.85 ! [A_27a: del,A_27b: del] :
% 5.55/5.85 ( ! [V0l: $i] :
% 5.55/5.85 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Erich__list_2EBUTLASTN @ A_27a ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ V0l )
% 5.55/5.85 = V0l ) )
% 5.55/5.85 & ! [V1n: tp__ty_2Enum_2Enum,V2x: $i] :
% 5.55/5.85 ( ( mem @ V2x @ A_27b )
% 5.55/5.85 => ! [V3l: $i] :
% 5.55/5.85 ( ( mem @ V3l @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Erich__list_2EBUTLASTN @ A_27b ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ESNOC @ A_27b ) @ V2x ) @ V3l ) )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Erich__list_2EBUTLASTN @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ V3l ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(ax_thm_2Erich__list_2EIS__SUBLIST,axiom,
% 5.55/5.85 ! [A_27a: del] :
% 5.55/5.85 ( ! [V0l: $i] :
% 5.55/5.85 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ ( c_2Erich__list_2EIS__SUBLIST @ A_27a ) @ V0l ) @ ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.85 <=> $true ) )
% 5.55/5.85 & ! [V1x: $i] :
% 5.55/5.85 ( ( mem @ V1x @ A_27a )
% 5.55/5.85 => ! [V2l: $i] :
% 5.55/5.85 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ ( c_2Erich__list_2EIS__SUBLIST @ A_27a ) @ ( c_2Elist_2ENIL @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1x ) @ V2l ) ) )
% 5.55/5.85 <=> $false ) ) )
% 5.55/5.85 & ! [V3x1: $i] :
% 5.55/5.85 ( ( mem @ V3x1 @ A_27a )
% 5.55/5.85 => ! [V4l1: $i] :
% 5.55/5.85 ( ( mem @ V4l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V5x2: $i] :
% 5.55/5.85 ( ( mem @ V5x2 @ A_27a )
% 5.55/5.85 => ! [V6l2: $i] :
% 5.55/5.85 ( ( mem @ V6l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ ( c_2Erich__list_2EIS__SUBLIST @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3x1 ) @ V4l1 ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V5x2 ) @ V6l2 ) ) )
% 5.55/5.85 <=> ( ( ( V3x1 = V5x2 )
% 5.55/5.85 & ( p @ ( ap @ ( ap @ ( c_2Elist_2EisPREFIX @ A_27a ) @ V6l2 ) @ V4l1 ) ) )
% 5.55/5.85 | ( p @ ( ap @ ( ap @ ( c_2Erich__list_2EIS__SUBLIST @ A_27a ) @ V4l1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V5x2 ) @ V6l2 ) ) ) ) ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(ax_thm_2Erich__list_2ESEG,axiom,
% 5.55/5.85 ! [A_27a: del] :
% 5.55/5.85 ( ! [V0k: tp__ty_2Enum_2Enum,V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( ap @ ( c_2Erich__list_2ESEG @ A_27a ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0k ) ) @ V1l )
% 5.55/5.85 = ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.85 & ! [V2m: tp__ty_2Enum_2Enum,V3x: $i] :
% 5.55/5.85 ( ( mem @ V3x @ A_27a )
% 5.55/5.85 => ! [V4l: $i] :
% 5.55/5.85 ( ( mem @ V4l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( ap @ ( c_2Erich__list_2ESEG @ A_27a ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V2m ) ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3x ) @ V4l ) )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3x ) @ ( ap @ ( ap @ ( ap @ ( c_2Erich__list_2ESEG @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V2m ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ V4l ) ) ) ) )
% 5.55/5.85 & ! [V5m: tp__ty_2Enum_2Enum,V6k: tp__ty_2Enum_2Enum,V7x: $i] :
% 5.55/5.85 ( ( mem @ V7x @ A_27a )
% 5.55/5.85 => ! [V8l: $i] :
% 5.55/5.85 ( ( mem @ V8l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( ap @ ( c_2Erich__list_2ESEG @ A_27a ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V5m ) ) ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V6k ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V7x ) @ V8l ) )
% 5.55/5.85 = ( ap @ ( ap @ ( ap @ ( c_2Erich__list_2ESEG @ A_27a ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V5m ) ) ) @ ( inj__ty_2Enum_2Enum @ V6k ) ) @ V8l ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(ax_thm_2Erich__list_2EIS__SUFFIX,axiom,
% 5.55/5.85 ! [A_27a: del] :
% 5.55/5.85 ( ! [V0l: $i] :
% 5.55/5.85 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ ( c_2Erich__list_2EIS__SUFFIX @ A_27a ) @ V0l ) @ ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.85 <=> $true ) )
% 5.55/5.85 & ! [V1x: $i] :
% 5.55/5.85 ( ( mem @ V1x @ A_27a )
% 5.55/5.85 => ! [V2l: $i] :
% 5.55/5.85 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ ( c_2Erich__list_2EIS__SUFFIX @ A_27a ) @ ( c_2Elist_2ENIL @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Elist_2ESNOC @ A_27a ) @ V1x ) @ V2l ) ) )
% 5.55/5.85 <=> $false ) ) )
% 5.55/5.85 & ! [V3x1: $i] :
% 5.55/5.85 ( ( mem @ V3x1 @ A_27a )
% 5.55/5.85 => ! [V4l1: $i] :
% 5.55/5.85 ( ( mem @ V4l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V5x2: $i] :
% 5.55/5.85 ( ( mem @ V5x2 @ A_27a )
% 5.55/5.85 => ! [V6l2: $i] :
% 5.55/5.85 ( ( mem @ V6l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ ( c_2Erich__list_2EIS__SUFFIX @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ESNOC @ A_27a ) @ V3x1 ) @ V4l1 ) ) @ ( ap @ ( ap @ ( c_2Elist_2ESNOC @ A_27a ) @ V5x2 ) @ V6l2 ) ) )
% 5.55/5.85 <=> ( ( V3x1 = V5x2 )
% 5.55/5.85 & ( p @ ( ap @ ( ap @ ( c_2Erich__list_2EIS__SUFFIX @ A_27a ) @ V4l1 ) @ V6l2 ) ) ) ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ELENGTH__NOT__NULL,axiom,
% 5.55/5.85 ! [A_27a: del,V0l: $i] :
% 5.55/5.85 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.85 <=> ~ ( p @ ( ap @ ( c_2Elist_2ENULL @ A_27a ) @ V0l ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ENOT__NIL__SNOC,axiom,
% 5.55/5.85 ! [A_27a: del,V0x: $i] :
% 5.55/5.85 ( ( mem @ V0x @ A_27a )
% 5.55/5.85 => ! [V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( c_2Elist_2ENIL @ A_27a )
% 5.55/5.85 != ( ap @ ( ap @ ( c_2Elist_2ESNOC @ A_27a ) @ V0x ) @ V1l ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ENOT__SNOC__NIL,axiom,
% 5.55/5.85 ! [A_27a: del,V0x: $i] :
% 5.55/5.85 ( ( mem @ V0x @ A_27a )
% 5.55/5.85 => ! [V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Elist_2ESNOC @ A_27a ) @ V0x ) @ V1l )
% 5.55/5.85 != ( c_2Elist_2ENIL @ A_27a ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ESNOC__EQ__LENGTH__EQ,axiom,
% 5.55/5.85 ! [A_27a: del,V0x1: $i] :
% 5.55/5.85 ( ( mem @ V0x1 @ A_27a )
% 5.55/5.85 => ! [V1l1: $i] :
% 5.55/5.85 ( ( mem @ V1l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V2x2: $i] :
% 5.55/5.85 ( ( mem @ V2x2 @ A_27a )
% 5.55/5.85 => ! [V3l2: $i] :
% 5.55/5.85 ( ( mem @ V3l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ( ap @ ( ap @ ( c_2Elist_2ESNOC @ A_27a ) @ V0x1 ) @ V1l1 )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ESNOC @ A_27a ) @ V2x2 ) @ V3l2 ) )
% 5.55/5.85 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l1 ) )
% 5.55/5.85 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V3l2 ) ) ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ESNOC__REVERSE__CONS,axiom,
% 5.55/5.85 ! [A_27a: del,V0x: $i] :
% 5.55/5.85 ( ( mem @ V0x @ A_27a )
% 5.55/5.85 => ! [V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Elist_2ESNOC @ A_27a ) @ V0x ) @ V1l )
% 5.55/5.85 = ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V0x ) @ ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ V1l ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EFOLDR__SNOC,axiom,
% 5.55/5.85 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.55/5.85 ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27b @ A_27b ) ) )
% 5.55/5.85 => ! [V1e: $i] :
% 5.55/5.85 ( ( mem @ V1e @ A_27b )
% 5.55/5.85 => ! [V2x: $i] :
% 5.55/5.85 ( ( mem @ V2x @ A_27a )
% 5.55/5.85 => ! [V3l: $i] :
% 5.55/5.85 ( ( mem @ V3l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDR @ A_27a @ A_27b ) @ V0f ) @ V1e ) @ ( ap @ ( ap @ ( c_2Elist_2ESNOC @ A_27a ) @ V2x ) @ V3l ) )
% 5.55/5.85 = ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDR @ A_27a @ A_27b ) @ V0f ) @ ( ap @ ( ap @ V0f @ V2x ) @ V1e ) ) @ V3l ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EFOLDR__FOLDL,axiom,
% 5.55/5.85 ! [A_27a: del,V0f: $i] :
% 5.55/5.85 ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.55/5.85 => ! [V1e: $i] :
% 5.55/5.85 ( ( mem @ V1e @ A_27a )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ ( c_2Ecombin_2EMONOID @ A_27a ) @ V0f ) @ V1e ) )
% 5.55/5.85 => ! [V2l: $i] :
% 5.55/5.85 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDR @ A_27a @ A_27a ) @ V0f ) @ V1e ) @ V2l )
% 5.55/5.85 = ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDL @ A_27a @ A_27a ) @ V0f ) @ V1e ) @ V2l ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ELENGTH__FOLDR,axiom,
% 5.55/5.85 ! [A_27a: del,V0l: $i] :
% 5.55/5.85 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.85 = ( surj__ty_2Enum_2Enum
% 5.55/5.85 @ ( ap
% 5.55/5.85 @ ( ap
% 5.55/5.85 @ ( ap @ ( c_2Elist_2EFOLDR @ A_27a @ ty_2Enum_2Enum )
% 5.55/5.85 @ ( lam @ A_27a
% 5.55/5.85 @ ^ [V1x: $i] :
% 5.55/5.85 ( lam @ ty_2Enum_2Enum
% 5.55/5.85 @ ^ [V2l_27: $i] : ( ap @ c_2Enum_2ESUC @ V2l_27 ) ) ) )
% 5.55/5.85 @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) )
% 5.55/5.85 @ V0l ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ELENGTH__FOLDL,axiom,
% 5.55/5.85 ! [A_27a: del,V0l: $i] :
% 5.55/5.85 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) )
% 5.55/5.85 = ( surj__ty_2Enum_2Enum
% 5.55/5.85 @ ( ap
% 5.55/5.85 @ ( ap
% 5.55/5.85 @ ( ap @ ( c_2Elist_2EFOLDL @ A_27a @ ty_2Enum_2Enum )
% 5.55/5.85 @ ( lam @ ty_2Enum_2Enum
% 5.55/5.85 @ ^ [V1l_27: $i] :
% 5.55/5.85 ( lam @ A_27a
% 5.55/5.85 @ ^ [V2x: $i] : ( ap @ c_2Enum_2ESUC @ V1l_27 ) ) ) )
% 5.55/5.85 @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) )
% 5.55/5.85 @ V0l ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EMAP__FOLDR,axiom,
% 5.55/5.85 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.55/5.85 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.55/5.85 => ! [V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27a @ A_27b ) @ V0f ) @ V1l )
% 5.55/5.85 = ( ap
% 5.55/5.85 @ ( ap
% 5.55/5.85 @ ( ap @ ( c_2Elist_2EFOLDR @ A_27a @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.85 @ ( lam @ A_27a
% 5.55/5.85 @ ^ [V2x: $i] :
% 5.55/5.85 ( lam @ ( ty_2Elist_2Elist @ A_27b )
% 5.55/5.85 @ ^ [V3l_27: $i] : ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27b ) @ ( ap @ V0f @ V2x ) ) @ V3l_27 ) ) ) )
% 5.55/5.85 @ ( c_2Elist_2ENIL @ A_27b ) )
% 5.55/5.85 @ V1l ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EMAP__FOLDL,axiom,
% 5.55/5.85 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.55/5.85 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.55/5.85 => ! [V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27a @ A_27b ) @ V0f ) @ V1l )
% 5.55/5.85 = ( ap
% 5.55/5.85 @ ( ap
% 5.55/5.85 @ ( ap @ ( c_2Elist_2EFOLDL @ A_27a @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.85 @ ( lam @ ( ty_2Elist_2Elist @ A_27b )
% 5.55/5.85 @ ^ [V2l_27: $i] :
% 5.55/5.85 ( lam @ A_27a
% 5.55/5.85 @ ^ [V3x: $i] : ( ap @ ( ap @ ( c_2Elist_2ESNOC @ A_27b ) @ ( ap @ V0f @ V3x ) ) @ V2l_27 ) ) ) )
% 5.55/5.85 @ ( c_2Elist_2ENIL @ A_27b ) )
% 5.55/5.85 @ V1l ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EFILTER__FOLDR,axiom,
% 5.55/5.85 ! [A_27a: del,V0P: $i] :
% 5.55/5.85 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.85 => ! [V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Elist_2EFILTER @ A_27a ) @ V0P ) @ V1l )
% 5.55/5.85 = ( ap
% 5.55/5.85 @ ( ap
% 5.55/5.85 @ ( ap @ ( c_2Elist_2EFOLDR @ A_27a @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 @ ( lam @ A_27a
% 5.55/5.85 @ ^ [V2x: $i] :
% 5.55/5.85 ( lam @ ( ty_2Elist_2Elist @ A_27a )
% 5.55/5.85 @ ^ [V3l_27: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ap @ V0P @ V2x ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2x ) @ V3l_27 ) ) @ V3l_27 ) ) ) )
% 5.55/5.85 @ ( c_2Elist_2ENIL @ A_27a ) )
% 5.55/5.85 @ V1l ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EFILTER__SNOC,axiom,
% 5.55/5.85 ! [A_27a: del,V0P: $i] :
% 5.55/5.85 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.85 => ! [V1x: $i] :
% 5.55/5.85 ( ( mem @ V1x @ A_27a )
% 5.55/5.85 => ! [V2l: $i] :
% 5.55/5.85 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Elist_2EFILTER @ A_27a ) @ V0P ) @ ( ap @ ( ap @ ( c_2Elist_2ESNOC @ A_27a ) @ V1x ) @ V2l ) )
% 5.55/5.85 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ap @ V0P @ V1x ) ) @ ( ap @ ( ap @ ( c_2Elist_2ESNOC @ A_27a ) @ V1x ) @ ( ap @ ( ap @ ( c_2Elist_2EFILTER @ A_27a ) @ V0P ) @ V2l ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2EFILTER @ A_27a ) @ V0P ) @ V2l ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EFILTER__FOLDL,axiom,
% 5.55/5.85 ! [A_27a: del,V0P: $i] :
% 5.55/5.85 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.85 => ! [V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Elist_2EFILTER @ A_27a ) @ V0P ) @ V1l )
% 5.55/5.85 = ( ap
% 5.55/5.85 @ ( ap
% 5.55/5.85 @ ( ap @ ( c_2Elist_2EFOLDL @ A_27a @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 @ ( lam @ ( ty_2Elist_2Elist @ A_27a )
% 5.55/5.85 @ ^ [V2l_27: $i] :
% 5.55/5.85 ( lam @ A_27a
% 5.55/5.85 @ ^ [V3x: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ap @ V0P @ V3x ) ) @ ( ap @ ( ap @ ( c_2Elist_2ESNOC @ A_27a ) @ V3x ) @ V2l_27 ) ) @ V2l_27 ) ) ) )
% 5.55/5.85 @ ( c_2Elist_2ENIL @ A_27a ) )
% 5.55/5.85 @ V1l ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EFILTER__COMM,axiom,
% 5.55/5.85 ! [A_27a: del,V0f1: $i] :
% 5.55/5.85 ( ( mem @ V0f1 @ ( arr @ A_27a @ bool ) )
% 5.55/5.85 => ! [V1f2: $i] :
% 5.55/5.85 ( ( mem @ V1f2 @ ( arr @ A_27a @ bool ) )
% 5.55/5.85 => ! [V2l: $i] :
% 5.55/5.85 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Elist_2EFILTER @ A_27a ) @ V0f1 ) @ ( ap @ ( ap @ ( c_2Elist_2EFILTER @ A_27a ) @ V1f2 ) @ V2l ) )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2EFILTER @ A_27a ) @ V1f2 ) @ ( ap @ ( ap @ ( c_2Elist_2EFILTER @ A_27a ) @ V0f1 ) @ V2l ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EFILTER__IDEM,axiom,
% 5.55/5.85 ! [A_27a: del,V0f: $i] :
% 5.55/5.85 ( ( mem @ V0f @ ( arr @ A_27a @ bool ) )
% 5.55/5.85 => ! [V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Elist_2EFILTER @ A_27a ) @ V0f ) @ ( ap @ ( ap @ ( c_2Elist_2EFILTER @ A_27a ) @ V0f ) @ V1l ) )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2EFILTER @ A_27a ) @ V0f ) @ V1l ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EFILTER__MAP,axiom,
% 5.55/5.85 ! [A_27a: del,A_27b: del,V0f1: $i] :
% 5.55/5.85 ( ( mem @ V0f1 @ ( arr @ A_27a @ bool ) )
% 5.55/5.85 => ! [V1f2: $i] :
% 5.55/5.85 ( ( mem @ V1f2 @ ( arr @ A_27b @ A_27a ) )
% 5.55/5.85 => ! [V2l: $i] :
% 5.55/5.85 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Elist_2EFILTER @ A_27a ) @ V0f1 ) @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27b @ A_27a ) @ V1f2 ) @ V2l ) )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27b @ A_27a ) @ V1f2 ) @ ( ap @ ( ap @ ( c_2Elist_2EFILTER @ A_27b ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ bool @ A_27a ) @ V0f1 ) @ V1f2 ) ) @ V2l ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ELENGTH__FILTER__LEQ,axiom,
% 5.55/5.85 ! [A_27a: del,V0P: $i] :
% 5.55/5.85 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.85 => ! [V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EFILTER @ A_27a ) @ V0P ) @ V1l ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EFILTER__EQ,axiom,
% 5.55/5.85 ! [A_27a: del,V0P1: $i] :
% 5.55/5.85 ( ( mem @ V0P1 @ ( arr @ A_27a @ bool ) )
% 5.55/5.85 => ! [V1P2: $i] :
% 5.55/5.85 ( ( mem @ V1P2 @ ( arr @ A_27a @ bool ) )
% 5.55/5.85 => ! [V2l: $i] :
% 5.55/5.85 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ( ap @ ( ap @ ( c_2Elist_2EFILTER @ A_27a ) @ V0P1 ) @ V2l )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2EFILTER @ A_27a ) @ V1P2 ) @ V2l ) )
% 5.55/5.85 <=> ! [V3x: $i] :
% 5.55/5.85 ( ( mem @ V3x @ A_27a )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V2l ) ) )
% 5.55/5.85 => ( ( p @ ( ap @ V0P1 @ V3x ) )
% 5.55/5.85 <=> ( p @ ( ap @ V1P2 @ V3x ) ) ) ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ELENGTH__SEG,axiom,
% 5.55/5.85 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1k: tp__ty_2Enum_2Enum,V2l: $i] :
% 5.55/5.85 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1k ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2l ) ) )
% 5.55/5.85 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ ( ap @ ( ap @ ( ap @ ( c_2Erich__list_2ESEG @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1k ) ) @ V2l ) ) )
% 5.55/5.85 = V0n ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EAPPEND__NIL,axiom,
% 5.55/5.85 ! [A_27a: del,A_27b: del] :
% 5.55/5.85 ( ! [V0l: $i] :
% 5.55/5.85 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V0l ) @ ( c_2Elist_2ENIL @ A_27a ) )
% 5.55/5.85 = V0l ) )
% 5.55/5.85 & ! [V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27b ) @ ( c_2Elist_2ENIL @ A_27b ) ) @ V1l )
% 5.55/5.85 = V1l ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EAPPEND__FOLDR,axiom,
% 5.55/5.85 ! [A_27a: del,V0l1: $i] :
% 5.55/5.85 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V1l2: $i] :
% 5.55/5.85 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V0l1 ) @ V1l2 )
% 5.55/5.85 = ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDR @ A_27a @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( c_2Elist_2ECONS @ A_27a ) ) @ V1l2 ) @ V0l1 ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EAPPEND__FOLDL,axiom,
% 5.55/5.85 ! [A_27a: del,V0l1: $i] :
% 5.55/5.85 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V1l2: $i] :
% 5.55/5.85 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V0l1 ) @ V1l2 )
% 5.55/5.85 = ( ap
% 5.55/5.85 @ ( ap
% 5.55/5.85 @ ( ap @ ( c_2Elist_2EFOLDL @ A_27a @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 @ ( lam @ ( ty_2Elist_2Elist @ A_27a )
% 5.55/5.85 @ ^ [V2l_27: $i] :
% 5.55/5.85 ( lam @ A_27a
% 5.55/5.85 @ ^ [V3x: $i] : ( ap @ ( ap @ ( c_2Elist_2ESNOC @ A_27a ) @ V3x ) @ V2l_27 ) ) ) )
% 5.55/5.85 @ V0l1 )
% 5.55/5.85 @ V1l2 ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EFOLDR__APPEND,axiom,
% 5.55/5.85 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.55/5.85 ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27b @ A_27b ) ) )
% 5.55/5.85 => ! [V1e: $i] :
% 5.55/5.85 ( ( mem @ V1e @ A_27b )
% 5.55/5.85 => ! [V2l1: $i] :
% 5.55/5.85 ( ( mem @ V2l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V3l2: $i] :
% 5.55/5.85 ( ( mem @ V3l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDR @ A_27a @ A_27b ) @ V0f ) @ V1e ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V2l1 ) @ V3l2 ) )
% 5.55/5.85 = ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDR @ A_27a @ A_27b ) @ V0f ) @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDR @ A_27a @ A_27b ) @ V0f ) @ V1e ) @ V3l2 ) ) @ V2l1 ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EFOLDL__APPEND,axiom,
% 5.55/5.85 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.55/5.85 ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27b @ A_27a ) ) )
% 5.55/5.85 => ! [V1e: $i] :
% 5.55/5.85 ( ( mem @ V1e @ A_27a )
% 5.55/5.85 => ! [V2l1: $i] :
% 5.55/5.85 ( ( mem @ V2l1 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.85 => ! [V3l2: $i] :
% 5.55/5.85 ( ( mem @ V3l2 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDL @ A_27b @ A_27a ) @ V0f ) @ V1e ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27b ) @ V2l1 ) @ V3l2 ) )
% 5.55/5.85 = ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDL @ A_27b @ A_27a ) @ V0f ) @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDL @ A_27b @ A_27a ) @ V0f ) @ V1e ) @ V2l1 ) ) @ V3l2 ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ECONS__APPEND,axiom,
% 5.55/5.85 ! [A_27a: del,V0x: $i] :
% 5.55/5.85 ( ( mem @ V0x @ A_27a )
% 5.55/5.85 => ! [V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V0x ) @ V1l )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V0x ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) @ V1l ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EASSOC__APPEND,axiom,
% 5.55/5.85 ! [A_27a: del] : ( p @ ( ap @ ( c_2Ecombin_2EASSOC @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( c_2Elist_2EAPPEND @ A_27a ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EMONOID__APPEND__NIL,axiom,
% 5.55/5.85 ! [A_27a: del] : ( p @ ( ap @ ( ap @ ( c_2Ecombin_2EMONOID @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( c_2Elist_2EAPPEND @ A_27a ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EFLAT__SNOC,axiom,
% 5.55/5.85 ! [A_27a: del,V0x: $i] :
% 5.55/5.85 ( ( mem @ V0x @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ ( ty_2Elist_2Elist @ A_27a ) ) )
% 5.55/5.85 => ( ( ap @ ( c_2Elist_2EFLAT @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ESNOC @ ( ty_2Elist_2Elist @ A_27a ) ) @ V0x ) @ V1l ) )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ ( ap @ ( c_2Elist_2EFLAT @ A_27a ) @ V1l ) ) @ V0x ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EFLAT__FOLDR,axiom,
% 5.55/5.85 ! [A_27a: del,V0l: $i] :
% 5.55/5.85 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ ( ty_2Elist_2Elist @ A_27a ) ) )
% 5.55/5.85 => ( ( ap @ ( c_2Elist_2EFLAT @ A_27a ) @ V0l )
% 5.55/5.85 = ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDR @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( c_2Elist_2EAPPEND @ A_27a ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) @ V0l ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EFLAT__FOLDL,axiom,
% 5.55/5.85 ! [A_27a: del,V0l: $i] :
% 5.55/5.85 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ ( ty_2Elist_2Elist @ A_27a ) ) )
% 5.55/5.85 => ( ( ap @ ( c_2Elist_2EFLAT @ A_27a ) @ V0l )
% 5.55/5.85 = ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDL @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( c_2Elist_2EAPPEND @ A_27a ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) @ V0l ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ELENGTH__FLAT,axiom,
% 5.55/5.85 ! [A_27a: del,V0l: $i] :
% 5.55/5.85 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ ( ty_2Elist_2Elist @ A_27a ) ) )
% 5.55/5.85 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ ( ap @ ( c_2Elist_2EFLAT @ A_27a ) @ V0l ) ) )
% 5.55/5.85 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Elist_2ESUM @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ ( ty_2Elist_2Elist @ A_27a ) @ ty_2Enum_2Enum ) @ ( c_2Elist_2ELENGTH @ A_27a ) ) @ V0l ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EREVERSE__FOLDR,axiom,
% 5.55/5.85 ! [A_27a: del,V0l: $i] :
% 5.55/5.85 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ V0l )
% 5.55/5.85 = ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDR @ A_27a @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( c_2Elist_2ESNOC @ A_27a ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) @ V0l ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EREVERSE__FOLDL,axiom,
% 5.55/5.85 ! [A_27a: del,V0l: $i] :
% 5.55/5.85 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ V0l )
% 5.55/5.85 = ( ap
% 5.55/5.85 @ ( ap
% 5.55/5.85 @ ( ap @ ( c_2Elist_2EFOLDL @ A_27a @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 @ ( lam @ ( ty_2Elist_2Elist @ A_27a )
% 5.55/5.85 @ ^ [V1l_27: $i] :
% 5.55/5.85 ( lam @ A_27a
% 5.55/5.85 @ ^ [V2x: $i] : ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2x ) @ V1l_27 ) ) ) )
% 5.55/5.85 @ ( c_2Elist_2ENIL @ A_27a ) )
% 5.55/5.85 @ V0l ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EALL__EL__MAP,axiom,
% 5.55/5.85 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.55/5.85 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.85 => ! [V1f: $i] :
% 5.55/5.85 ( ( mem @ V1f @ ( arr @ A_27b @ A_27a ) )
% 5.55/5.85 => ! [V2l: $i] :
% 5.55/5.85 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EEVERY @ A_27a ) @ V0P ) @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27b @ A_27a ) @ V1f ) @ V2l ) ) )
% 5.55/5.85 <=> ( p @ ( ap @ ( ap @ ( c_2Elist_2EEVERY @ A_27b ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ bool @ A_27a ) @ V0P ) @ V1f ) ) @ V2l ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EMEM__EXISTS,axiom,
% 5.55/5.85 ! [A_27a: del,V0x: $i] :
% 5.55/5.85 ( ( mem @ V0x @ A_27a )
% 5.55/5.85 => ! [V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V1l ) ) )
% 5.55/5.85 <=> ( p @ ( ap @ ( ap @ ( c_2Elist_2EEXISTS @ A_27a ) @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V0x ) ) @ V1l ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ESUM__FOLDR,axiom,
% 5.55/5.85 ! [V0l: tp__c_ty_2Elist_2Elist_ty_2Enum_2Enum] :
% 5.55/5.85 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Elist_2ESUM @ ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ V0l ) ) )
% 5.55/5.85 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDR @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ c_2Earithmetic_2E_2B ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ V0l ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ESUM__FOLDL,axiom,
% 5.55/5.85 ! [V0l: tp__c_ty_2Elist_2Elist_ty_2Enum_2Enum] :
% 5.55/5.85 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Elist_2ESUM @ ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ V0l ) ) )
% 5.55/5.85 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDL @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ c_2Earithmetic_2E_2B ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ V0l ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EIS__PREFIX,axiom,
% 5.55/5.85 ! [A_27a: del] :
% 5.55/5.85 ( ! [V0l: $i] :
% 5.55/5.85 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EisPREFIX @ A_27a ) @ ( c_2Elist_2ENIL @ A_27a ) ) @ V0l ) )
% 5.55/5.85 <=> $true ) )
% 5.55/5.85 & ! [V1x: $i] :
% 5.55/5.85 ( ( mem @ V1x @ A_27a )
% 5.55/5.85 => ! [V2l: $i] :
% 5.55/5.85 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EisPREFIX @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1x ) @ V2l ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.85 <=> $false ) ) )
% 5.55/5.85 & ! [V3x1: $i] :
% 5.55/5.85 ( ( mem @ V3x1 @ A_27a )
% 5.55/5.85 => ! [V4l1: $i] :
% 5.55/5.85 ( ( mem @ V4l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V5x2: $i] :
% 5.55/5.85 ( ( mem @ V5x2 @ A_27a )
% 5.55/5.85 => ! [V6l2: $i] :
% 5.55/5.85 ( ( mem @ V6l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EisPREFIX @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V5x2 ) @ V6l2 ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3x1 ) @ V4l1 ) ) )
% 5.55/5.85 <=> ( ( V3x1 = V5x2 )
% 5.55/5.85 & ( p @ ( ap @ ( ap @ ( c_2Elist_2EisPREFIX @ A_27a ) @ V6l2 ) @ V4l1 ) ) ) ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EIS__PREFIX__APPEND,axiom,
% 5.55/5.85 ! [A_27a: del,V0l1: $i] :
% 5.55/5.85 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V1l2: $i] :
% 5.55/5.85 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EisPREFIX @ A_27a ) @ V1l2 ) @ V0l1 ) )
% 5.55/5.85 <=> ? [V2l: $i] :
% 5.55/5.85 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 & ( V0l1
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V1l2 ) @ V2l ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EIS__SUFFIX__APPEND,axiom,
% 5.55/5.85 ! [A_27a: del,V0l1: $i] :
% 5.55/5.85 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V1l2: $i] :
% 5.55/5.85 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ ( c_2Erich__list_2EIS__SUFFIX @ A_27a ) @ V0l1 ) @ V1l2 ) )
% 5.55/5.85 <=> ? [V2l: $i] :
% 5.55/5.85 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 & ( V0l1
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V2l ) @ V1l2 ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EIS__SUBLIST__APPEND,axiom,
% 5.55/5.85 ! [A_27a: del,V0l1: $i] :
% 5.55/5.85 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V1l2: $i] :
% 5.55/5.85 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ ( c_2Erich__list_2EIS__SUBLIST @ A_27a ) @ V0l1 ) @ V1l2 ) )
% 5.55/5.85 <=> ? [V2l: $i] :
% 5.55/5.85 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 & ? [V3l_27: $i] :
% 5.55/5.85 ( ( mem @ V3l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 & ( V0l1
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V2l ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V1l2 ) @ V3l_27 ) ) ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EIS__PREFIX__IS__SUBLIST,axiom,
% 5.55/5.85 ! [A_27a: del,V0l1: $i] :
% 5.55/5.85 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V1l2: $i] :
% 5.55/5.85 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EisPREFIX @ A_27a ) @ V1l2 ) @ V0l1 ) )
% 5.55/5.85 => ( p @ ( ap @ ( ap @ ( c_2Erich__list_2EIS__SUBLIST @ A_27a ) @ V0l1 ) @ V1l2 ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EIS__SUFFIX__IS__SUBLIST,axiom,
% 5.55/5.85 ! [A_27a: del,V0l1: $i] :
% 5.55/5.85 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V1l2: $i] :
% 5.55/5.85 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ ( c_2Erich__list_2EIS__SUFFIX @ A_27a ) @ V0l1 ) @ V1l2 ) )
% 5.55/5.85 => ( p @ ( ap @ ( ap @ ( c_2Erich__list_2EIS__SUBLIST @ A_27a ) @ V0l1 ) @ V1l2 ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EIS__PREFIX__REVERSE,axiom,
% 5.55/5.85 ! [A_27a: del,V0l1: $i] :
% 5.55/5.85 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V1l2: $i] :
% 5.55/5.85 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EisPREFIX @ A_27a ) @ ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ V1l2 ) ) @ ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ V0l1 ) ) )
% 5.55/5.85 <=> ( p @ ( ap @ ( ap @ ( c_2Erich__list_2EIS__SUFFIX @ A_27a ) @ V0l1 ) @ V1l2 ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EIS__SUFFIX__REVERSE,axiom,
% 5.55/5.85 ! [A_27a: del,V0l2: $i] :
% 5.55/5.85 ( ( mem @ V0l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V1l1: $i] :
% 5.55/5.85 ( ( mem @ V1l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ ( c_2Erich__list_2EIS__SUFFIX @ A_27a ) @ ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ V1l1 ) ) @ ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ V0l2 ) ) )
% 5.55/5.85 <=> ( p @ ( ap @ ( ap @ ( c_2Elist_2EisPREFIX @ A_27a ) @ V0l2 ) @ V1l1 ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EIS__SUFFIX__CONS2__E,axiom,
% 5.55/5.85 ! [A_27a: del,V0s: $i] :
% 5.55/5.85 ( ( mem @ V0s @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V1h: $i] :
% 5.55/5.85 ( ( mem @ V1h @ A_27a )
% 5.55/5.85 => ! [V2t: $i] :
% 5.55/5.85 ( ( mem @ V2t @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ ( c_2Erich__list_2EIS__SUFFIX @ A_27a ) @ V0s ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1h ) @ V2t ) ) )
% 5.55/5.85 => ( p @ ( ap @ ( ap @ ( c_2Erich__list_2EIS__SUFFIX @ A_27a ) @ V0s ) @ V2t ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EIS__SUFFIX__REFL,axiom,
% 5.55/5.85 ! [A_27a: del,V0l: $i] :
% 5.55/5.85 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( p @ ( ap @ ( ap @ ( c_2Erich__list_2EIS__SUFFIX @ A_27a ) @ V0l ) @ V0l ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EIS__SUBLIST__REVERSE,axiom,
% 5.55/5.85 ! [A_27a: del,V0l1: $i] :
% 5.55/5.85 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V1l2: $i] :
% 5.55/5.85 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ ( c_2Erich__list_2EIS__SUBLIST @ A_27a ) @ ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ V0l1 ) ) @ ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ V1l2 ) ) )
% 5.55/5.85 <=> ( p @ ( ap @ ( ap @ ( c_2Erich__list_2EIS__SUBLIST @ A_27a ) @ V0l1 ) @ V1l2 ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EPREFIX__FOLDR,axiom,
% 5.55/5.85 ! [A_27a: del,V0P: $i] :
% 5.55/5.85 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.85 => ! [V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Erich__list_2EPREFIX @ A_27a ) @ V0P ) @ V1l )
% 5.55/5.85 = ( ap
% 5.55/5.85 @ ( ap
% 5.55/5.85 @ ( ap @ ( c_2Elist_2EFOLDR @ A_27a @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 @ ( lam @ A_27a
% 5.55/5.85 @ ^ [V2x: $i] :
% 5.55/5.85 ( lam @ ( ty_2Elist_2Elist @ A_27a )
% 5.55/5.85 @ ^ [V3l_27: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ap @ V0P @ V2x ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2x ) @ V3l_27 ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) )
% 5.55/5.85 @ ( c_2Elist_2ENIL @ A_27a ) )
% 5.55/5.85 @ V1l ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EPREFIX,axiom,
% 5.55/5.85 ! [A_27a: del,A_27b: del] :
% 5.55/5.85 ( ! [V0P: $i] :
% 5.55/5.85 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Erich__list_2EPREFIX @ A_27a ) @ V0P ) @ ( c_2Elist_2ENIL @ A_27a ) )
% 5.55/5.85 = ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.85 & ! [V1P: $i] :
% 5.55/5.85 ( ( mem @ V1P @ ( arr @ A_27b @ bool ) )
% 5.55/5.85 => ! [V2x: $i] :
% 5.55/5.85 ( ( mem @ V2x @ A_27b )
% 5.55/5.85 => ! [V3l: $i] :
% 5.55/5.85 ( ( mem @ V3l @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Erich__list_2EPREFIX @ A_27b ) @ V1P ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27b ) @ V2x ) @ V3l ) )
% 5.55/5.85 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Elist_2Elist @ A_27b ) ) @ ( ap @ V1P @ V2x ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27b ) @ V2x ) @ ( ap @ ( ap @ ( c_2Erich__list_2EPREFIX @ A_27b ) @ V1P ) @ V3l ) ) ) @ ( c_2Elist_2ENIL @ A_27b ) ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EIS__PREFIX__PREFIX,axiom,
% 5.55/5.85 ! [A_27a: del,V0P: $i] :
% 5.55/5.85 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.85 => ! [V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( p @ ( ap @ ( ap @ ( c_2Elist_2EisPREFIX @ A_27a ) @ ( ap @ ( ap @ ( c_2Erich__list_2EPREFIX @ A_27a ) @ V0P ) @ V1l ) ) @ V1l ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ELENGTH__SCANL,axiom,
% 5.55/5.85 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.55/5.85 ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27b @ A_27a ) ) )
% 5.55/5.85 => ! [V1e: $i] :
% 5.55/5.85 ( ( mem @ V1e @ A_27a )
% 5.55/5.85 => ! [V2l: $i] :
% 5.55/5.85 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.85 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ ( ap @ ( ap @ ( ap @ ( c_2Erich__list_2ESCANL @ A_27b @ A_27a ) @ V0f ) @ V1e ) @ V2l ) ) )
% 5.55/5.85 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enum_2ESUC @ ( ap @ ( c_2Elist_2ELENGTH @ A_27b ) @ V2l ) ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ELENGTH__SCANR,axiom,
% 5.55/5.85 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.55/5.85 ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27b @ A_27b ) ) )
% 5.55/5.85 => ! [V1e: $i] :
% 5.55/5.85 ( ( mem @ V1e @ A_27b )
% 5.55/5.85 => ! [V2l: $i] :
% 5.55/5.85 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27b ) @ ( ap @ ( ap @ ( ap @ ( c_2Erich__list_2ESCANR @ A_27a @ A_27b ) @ V0f ) @ V1e ) @ V2l ) ) )
% 5.55/5.85 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enum_2ESUC @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2l ) ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ECOMM__MONOID__FOLDL,axiom,
% 5.55/5.85 ! [A_27a: del,V0f: $i] :
% 5.55/5.85 ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( c_2Ecombin_2ECOMM @ A_27a @ A_27a ) @ V0f ) )
% 5.55/5.85 => ! [V1e_27: $i] :
% 5.55/5.85 ( ( mem @ V1e_27 @ A_27a )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ ( c_2Ecombin_2EMONOID @ A_27a ) @ V0f ) @ V1e_27 ) )
% 5.55/5.85 => ! [V2e: $i] :
% 5.55/5.85 ( ( mem @ V2e @ A_27a )
% 5.55/5.85 => ! [V3l: $i] :
% 5.55/5.85 ( ( mem @ V3l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDL @ A_27a @ A_27a ) @ V0f ) @ V2e ) @ V3l )
% 5.55/5.85 = ( ap @ ( ap @ V0f @ V2e ) @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDL @ A_27a @ A_27a ) @ V0f ) @ V1e_27 ) @ V3l ) ) ) ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ECOMM__MONOID__FOLDR,axiom,
% 5.55/5.85 ! [A_27a: del,V0f: $i] :
% 5.55/5.85 ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( c_2Ecombin_2ECOMM @ A_27a @ A_27a ) @ V0f ) )
% 5.55/5.85 => ! [V1e_27: $i] :
% 5.55/5.85 ( ( mem @ V1e_27 @ A_27a )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ ( c_2Ecombin_2EMONOID @ A_27a ) @ V0f ) @ V1e_27 ) )
% 5.55/5.85 => ! [V2e: $i] :
% 5.55/5.85 ( ( mem @ V2e @ A_27a )
% 5.55/5.85 => ! [V3l: $i] :
% 5.55/5.85 ( ( mem @ V3l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDR @ A_27a @ A_27a ) @ V0f ) @ V2e ) @ V3l )
% 5.55/5.85 = ( ap @ ( ap @ V0f @ V2e ) @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDR @ A_27a @ A_27a ) @ V0f ) @ V1e_27 ) @ V3l ) ) ) ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EFCOMM__FOLDR__APPEND,axiom,
% 5.55/5.85 ! [A_27a: del,A_27b: del,V0g: $i] :
% 5.55/5.85 ( ( mem @ V0g @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.55/5.85 => ! [V1f: $i] :
% 5.55/5.85 ( ( mem @ V1f @ ( arr @ A_27b @ ( arr @ A_27a @ A_27a ) ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ ( c_2Ecombin_2EFCOMM @ A_27a @ A_27a @ A_27b ) @ V0g ) @ V1f ) )
% 5.55/5.85 => ! [V2e: $i] :
% 5.55/5.85 ( ( mem @ V2e @ A_27a )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ ( c_2Ecombin_2ELEFT__ID @ A_27a @ A_27a ) @ V0g ) @ V2e ) )
% 5.55/5.85 => ! [V3l1: $i] :
% 5.55/5.85 ( ( mem @ V3l1 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.85 => ! [V4l2: $i] :
% 5.55/5.85 ( ( mem @ V4l2 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDR @ A_27b @ A_27a ) @ V1f ) @ V2e ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27b ) @ V3l1 ) @ V4l2 ) )
% 5.55/5.85 = ( ap @ ( ap @ V0g @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDR @ A_27b @ A_27a ) @ V1f ) @ V2e ) @ V3l1 ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDR @ A_27b @ A_27a ) @ V1f ) @ V2e ) @ V4l2 ) ) ) ) ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EFCOMM__FOLDL__APPEND,axiom,
% 5.55/5.85 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.55/5.85 ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27b @ A_27a ) ) )
% 5.55/5.85 => ! [V1g: $i] :
% 5.55/5.85 ( ( mem @ V1g @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ ( c_2Ecombin_2EFCOMM @ A_27a @ A_27b @ A_27a ) @ V0f ) @ V1g ) )
% 5.55/5.85 => ! [V2e: $i] :
% 5.55/5.85 ( ( mem @ V2e @ A_27a )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ ( c_2Ecombin_2ERIGHT__ID @ A_27a @ A_27a ) @ V1g ) @ V2e ) )
% 5.55/5.85 => ! [V3l1: $i] :
% 5.55/5.85 ( ( mem @ V3l1 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.85 => ! [V4l2: $i] :
% 5.55/5.85 ( ( mem @ V4l2 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDL @ A_27b @ A_27a ) @ V0f ) @ V2e ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27b ) @ V3l1 ) @ V4l2 ) )
% 5.55/5.85 = ( ap @ ( ap @ V1g @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDL @ A_27b @ A_27a ) @ V0f ) @ V2e ) @ V3l1 ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDL @ A_27b @ A_27a ) @ V0f ) @ V2e ) @ V4l2 ) ) ) ) ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EFOLDL__SINGLE,axiom,
% 5.55/5.85 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.55/5.85 ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27b @ A_27a ) ) )
% 5.55/5.85 => ! [V1e: $i] :
% 5.55/5.85 ( ( mem @ V1e @ A_27a )
% 5.55/5.85 => ! [V2x: $i] :
% 5.55/5.85 ( ( mem @ V2x @ A_27b )
% 5.55/5.85 => ( ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDL @ A_27b @ A_27a ) @ V0f ) @ V1e ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27b ) @ V2x ) @ ( c_2Elist_2ENIL @ A_27b ) ) )
% 5.55/5.85 = ( ap @ ( ap @ V0f @ V1e ) @ V2x ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EFOLDR__SINGLE,axiom,
% 5.55/5.85 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.55/5.85 ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27b @ A_27b ) ) )
% 5.55/5.85 => ! [V1e: $i] :
% 5.55/5.85 ( ( mem @ V1e @ A_27b )
% 5.55/5.85 => ! [V2x: $i] :
% 5.55/5.85 ( ( mem @ V2x @ A_27a )
% 5.55/5.85 => ( ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDR @ A_27a @ A_27b ) @ V0f ) @ V1e ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2x ) @ ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.85 = ( ap @ ( ap @ V0f @ V2x ) @ V1e ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EFOLDR__CONS__NIL,axiom,
% 5.55/5.85 ! [A_27a: del,V0l: $i] :
% 5.55/5.85 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDR @ A_27a @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( c_2Elist_2ECONS @ A_27a ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) @ V0l )
% 5.55/5.85 = V0l ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EFOLDL__SNOC__NIL,axiom,
% 5.55/5.85 ! [A_27a: del,V0l: $i] :
% 5.55/5.85 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap
% 5.55/5.85 @ ( ap
% 5.55/5.85 @ ( ap @ ( c_2Elist_2EFOLDL @ A_27a @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 @ ( lam @ ( ty_2Elist_2Elist @ A_27a )
% 5.55/5.85 @ ^ [V1xs: $i] :
% 5.55/5.85 ( lam @ A_27a
% 5.55/5.85 @ ^ [V2x: $i] : ( ap @ ( ap @ ( c_2Elist_2ESNOC @ A_27a ) @ V2x ) @ V1xs ) ) ) )
% 5.55/5.85 @ ( c_2Elist_2ENIL @ A_27a ) )
% 5.55/5.85 @ V0l )
% 5.55/5.85 = V0l ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EFOLDR__FOLDL__REVERSE,axiom,
% 5.55/5.85 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.55/5.85 ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27b @ A_27b ) ) )
% 5.55/5.85 => ! [V1e: $i] :
% 5.55/5.85 ( ( mem @ V1e @ A_27b )
% 5.55/5.85 => ! [V2l: $i] :
% 5.55/5.85 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDR @ A_27a @ A_27b ) @ V0f ) @ V1e ) @ V2l )
% 5.55/5.85 = ( ap
% 5.55/5.85 @ ( ap
% 5.55/5.85 @ ( ap @ ( c_2Elist_2EFOLDL @ A_27a @ A_27b )
% 5.55/5.85 @ ( lam @ A_27b
% 5.55/5.85 @ ^ [V3x: $i] :
% 5.55/5.85 ( lam @ A_27a
% 5.55/5.85 @ ^ [V4y: $i] : ( ap @ ( ap @ V0f @ V4y ) @ V3x ) ) ) )
% 5.55/5.85 @ V1e )
% 5.55/5.85 @ ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ V2l ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EFOLDL__FOLDR__REVERSE,axiom,
% 5.55/5.85 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.55/5.85 ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27b @ A_27a ) ) )
% 5.55/5.85 => ! [V1e: $i] :
% 5.55/5.85 ( ( mem @ V1e @ A_27a )
% 5.55/5.85 => ! [V2l: $i] :
% 5.55/5.85 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDL @ A_27b @ A_27a ) @ V0f ) @ V1e ) @ V2l )
% 5.55/5.85 = ( ap
% 5.55/5.85 @ ( ap
% 5.55/5.85 @ ( ap @ ( c_2Elist_2EFOLDR @ A_27b @ A_27a )
% 5.55/5.85 @ ( lam @ A_27b
% 5.55/5.85 @ ^ [V3x: $i] :
% 5.55/5.85 ( lam @ A_27a
% 5.55/5.85 @ ^ [V4y: $i] : ( ap @ ( ap @ V0f @ V4y ) @ V3x ) ) ) )
% 5.55/5.85 @ V1e )
% 5.55/5.85 @ ( ap @ ( c_2Elist_2EREVERSE @ A_27b ) @ V2l ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EFOLDR__REVERSE,axiom,
% 5.55/5.85 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.55/5.85 ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27b @ A_27b ) ) )
% 5.55/5.85 => ! [V1e: $i] :
% 5.55/5.85 ( ( mem @ V1e @ A_27b )
% 5.55/5.85 => ! [V2l: $i] :
% 5.55/5.85 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDR @ A_27a @ A_27b ) @ V0f ) @ V1e ) @ ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ V2l ) )
% 5.55/5.85 = ( ap
% 5.55/5.85 @ ( ap
% 5.55/5.85 @ ( ap @ ( c_2Elist_2EFOLDL @ A_27a @ A_27b )
% 5.55/5.85 @ ( lam @ A_27b
% 5.55/5.85 @ ^ [V3x: $i] :
% 5.55/5.85 ( lam @ A_27a
% 5.55/5.85 @ ^ [V4y: $i] : ( ap @ ( ap @ V0f @ V4y ) @ V3x ) ) ) )
% 5.55/5.85 @ V1e )
% 5.55/5.85 @ V2l ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EFOLDL__REVERSE,axiom,
% 5.55/5.85 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.55/5.85 ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27b @ A_27a ) ) )
% 5.55/5.85 => ! [V1e: $i] :
% 5.55/5.85 ( ( mem @ V1e @ A_27a )
% 5.55/5.85 => ! [V2l: $i] :
% 5.55/5.85 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDL @ A_27b @ A_27a ) @ V0f ) @ V1e ) @ ( ap @ ( c_2Elist_2EREVERSE @ A_27b ) @ V2l ) )
% 5.55/5.85 = ( ap
% 5.55/5.85 @ ( ap
% 5.55/5.85 @ ( ap @ ( c_2Elist_2EFOLDR @ A_27b @ A_27a )
% 5.55/5.85 @ ( lam @ A_27b
% 5.55/5.85 @ ^ [V3x: $i] :
% 5.55/5.85 ( lam @ A_27a
% 5.55/5.85 @ ^ [V4y: $i] : ( ap @ ( ap @ V0f @ V4y ) @ V3x ) ) ) )
% 5.55/5.85 @ V1e )
% 5.55/5.85 @ V2l ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EFOLDR__MAP,axiom,
% 5.55/5.85 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.55/5.85 ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27b @ A_27b ) ) )
% 5.55/5.85 => ! [V1e: $i] :
% 5.55/5.85 ( ( mem @ V1e @ A_27b )
% 5.55/5.85 => ! [V2g: $i] :
% 5.55/5.85 ( ( mem @ V2g @ ( arr @ A_27c @ A_27a ) )
% 5.55/5.85 => ! [V3l: $i] :
% 5.55/5.85 ( ( mem @ V3l @ ( ty_2Elist_2Elist @ A_27c ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDR @ A_27a @ A_27b ) @ V0f ) @ V1e ) @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27c @ A_27a ) @ V2g ) @ V3l ) )
% 5.55/5.85 = ( ap
% 5.55/5.85 @ ( ap
% 5.55/5.85 @ ( ap @ ( c_2Elist_2EFOLDR @ A_27c @ A_27b )
% 5.55/5.85 @ ( lam @ A_27c
% 5.55/5.85 @ ^ [V4x: $i] :
% 5.55/5.85 ( lam @ A_27b
% 5.55/5.85 @ ^ [V5y: $i] : ( ap @ ( ap @ V0f @ ( ap @ V2g @ V4x ) ) @ V5y ) ) ) )
% 5.55/5.85 @ V1e )
% 5.55/5.85 @ V3l ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EFOLDL__MAP,axiom,
% 5.55/5.85 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.55/5.85 ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27b @ A_27a ) ) )
% 5.55/5.85 => ! [V1e: $i] :
% 5.55/5.85 ( ( mem @ V1e @ A_27a )
% 5.55/5.85 => ! [V2g: $i] :
% 5.55/5.85 ( ( mem @ V2g @ ( arr @ A_27c @ A_27b ) )
% 5.55/5.85 => ! [V3l: $i] :
% 5.55/5.85 ( ( mem @ V3l @ ( ty_2Elist_2Elist @ A_27c ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDL @ A_27b @ A_27a ) @ V0f ) @ V1e ) @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27c @ A_27b ) @ V2g ) @ V3l ) )
% 5.55/5.85 = ( ap
% 5.55/5.85 @ ( ap
% 5.55/5.85 @ ( ap @ ( c_2Elist_2EFOLDL @ A_27c @ A_27a )
% 5.55/5.85 @ ( lam @ A_27a
% 5.55/5.85 @ ^ [V4x: $i] :
% 5.55/5.85 ( lam @ A_27c
% 5.55/5.85 @ ^ [V5y: $i] : ( ap @ ( ap @ V0f @ V4x ) @ ( ap @ V2g @ V5y ) ) ) ) )
% 5.55/5.85 @ V1e )
% 5.55/5.85 @ V3l ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EEVERY__FOLDR,axiom,
% 5.55/5.85 ! [A_27a: del,V0P: $i] :
% 5.55/5.85 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.85 => ! [V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EEVERY @ A_27a ) @ V0P ) @ V1l ) )
% 5.55/5.85 <=> ( p
% 5.55/5.85 @ ( ap
% 5.55/5.85 @ ( ap
% 5.55/5.85 @ ( ap @ ( c_2Elist_2EFOLDR @ A_27a @ bool )
% 5.55/5.85 @ ( lam @ A_27a
% 5.55/5.85 @ ^ [V2x: $i] :
% 5.55/5.85 ( lam @ bool
% 5.55/5.85 @ ^ [V3l_27: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0P @ V2x ) ) @ V3l_27 ) ) ) )
% 5.55/5.85 @ c_2Ebool_2ET )
% 5.55/5.85 @ V1l ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EEVERY__FOLDL,axiom,
% 5.55/5.85 ! [A_27a: del,V0P: $i] :
% 5.55/5.85 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.85 => ! [V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EEVERY @ A_27a ) @ V0P ) @ V1l ) )
% 5.55/5.85 <=> ( p
% 5.55/5.85 @ ( ap
% 5.55/5.85 @ ( ap
% 5.55/5.85 @ ( ap @ ( c_2Elist_2EFOLDL @ A_27a @ bool )
% 5.55/5.85 @ ( lam @ bool
% 5.55/5.85 @ ^ [V2l_27: $i] :
% 5.55/5.85 ( lam @ A_27a
% 5.55/5.85 @ ^ [V3x: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ V2l_27 ) @ ( ap @ V0P @ V3x ) ) ) ) )
% 5.55/5.85 @ c_2Ebool_2ET )
% 5.55/5.85 @ V1l ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EEXISTS__FOLDR,axiom,
% 5.55/5.85 ! [A_27a: del,V0P: $i] :
% 5.55/5.85 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.85 => ! [V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EEXISTS @ A_27a ) @ V0P ) @ V1l ) )
% 5.55/5.85 <=> ( p
% 5.55/5.85 @ ( ap
% 5.55/5.85 @ ( ap
% 5.55/5.85 @ ( ap @ ( c_2Elist_2EFOLDR @ A_27a @ bool )
% 5.55/5.85 @ ( lam @ A_27a
% 5.55/5.85 @ ^ [V2x: $i] :
% 5.55/5.85 ( lam @ bool
% 5.55/5.85 @ ^ [V3l_27: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V0P @ V2x ) ) @ V3l_27 ) ) ) )
% 5.55/5.85 @ c_2Ebool_2EF )
% 5.55/5.85 @ V1l ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EEXISTS__FOLDL,axiom,
% 5.55/5.85 ! [A_27a: del,V0P: $i] :
% 5.55/5.85 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.85 => ! [V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EEXISTS @ A_27a ) @ V0P ) @ V1l ) )
% 5.55/5.85 <=> ( p
% 5.55/5.85 @ ( ap
% 5.55/5.85 @ ( ap
% 5.55/5.85 @ ( ap @ ( c_2Elist_2EFOLDL @ A_27a @ bool )
% 5.55/5.85 @ ( lam @ bool
% 5.55/5.85 @ ^ [V2l_27: $i] :
% 5.55/5.85 ( lam @ A_27a
% 5.55/5.85 @ ^ [V3x: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ V2l_27 ) @ ( ap @ V0P @ V3x ) ) ) ) )
% 5.55/5.85 @ c_2Ebool_2EF )
% 5.55/5.85 @ V1l ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EEVERY__FOLDR__MAP,axiom,
% 5.55/5.85 ! [A_27a: del,V0P: $i] :
% 5.55/5.85 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.85 => ! [V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EEVERY @ A_27a ) @ V0P ) @ V1l ) )
% 5.55/5.85 <=> ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDR @ bool @ bool ) @ c_2Ebool_2E_2F_5C ) @ c_2Ebool_2ET ) @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27a @ bool ) @ V0P ) @ V1l ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EEVERY__FOLDL__MAP,axiom,
% 5.55/5.85 ! [A_27a: del,V0P: $i] :
% 5.55/5.85 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.85 => ! [V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EEVERY @ A_27a ) @ V0P ) @ V1l ) )
% 5.55/5.85 <=> ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDL @ bool @ bool ) @ c_2Ebool_2E_2F_5C ) @ c_2Ebool_2ET ) @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27a @ bool ) @ V0P ) @ V1l ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EEXISTS__FOLDR__MAP,axiom,
% 5.55/5.85 ! [A_27a: del,V0P: $i] :
% 5.55/5.85 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.85 => ! [V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EEXISTS @ A_27a ) @ V0P ) @ V1l ) )
% 5.55/5.85 <=> ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDR @ bool @ bool ) @ c_2Ebool_2E_5C_2F ) @ c_2Ebool_2EF ) @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27a @ bool ) @ V0P ) @ V1l ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EEXISTS__FOLDL__MAP,axiom,
% 5.55/5.85 ! [A_27a: del,V0P: $i] :
% 5.55/5.85 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.85 => ! [V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EEXISTS @ A_27a ) @ V0P ) @ V1l ) )
% 5.55/5.85 <=> ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDL @ bool @ bool ) @ c_2Ebool_2E_5C_2F ) @ c_2Ebool_2EF ) @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27a @ bool ) @ V0P ) @ V1l ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EFOLDR__FILTER,axiom,
% 5.55/5.85 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.55/5.85 ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27b @ A_27b ) ) )
% 5.55/5.85 => ! [V1e: $i] :
% 5.55/5.85 ( ( mem @ V1e @ A_27b )
% 5.55/5.85 => ! [V2P: $i] :
% 5.55/5.85 ( ( mem @ V2P @ ( arr @ A_27a @ bool ) )
% 5.55/5.85 => ! [V3l: $i] :
% 5.55/5.85 ( ( mem @ V3l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDR @ A_27a @ A_27b ) @ V0f ) @ V1e ) @ ( ap @ ( ap @ ( c_2Elist_2EFILTER @ A_27a ) @ V2P ) @ V3l ) )
% 5.55/5.85 = ( ap
% 5.55/5.85 @ ( ap
% 5.55/5.85 @ ( ap @ ( c_2Elist_2EFOLDR @ A_27a @ A_27b )
% 5.55/5.85 @ ( lam @ A_27a
% 5.55/5.85 @ ^ [V4x: $i] :
% 5.55/5.85 ( lam @ A_27b
% 5.55/5.85 @ ^ [V5y: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ A_27b ) @ ( ap @ V2P @ V4x ) ) @ ( ap @ ( ap @ V0f @ V4x ) @ V5y ) ) @ V5y ) ) ) )
% 5.55/5.85 @ V1e )
% 5.55/5.85 @ V3l ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EFOLDL__FILTER,axiom,
% 5.55/5.85 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.55/5.85 ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27b @ A_27a ) ) )
% 5.55/5.85 => ! [V1e: $i] :
% 5.55/5.85 ( ( mem @ V1e @ A_27a )
% 5.55/5.85 => ! [V2P: $i] :
% 5.55/5.85 ( ( mem @ V2P @ ( arr @ A_27b @ bool ) )
% 5.55/5.85 => ! [V3l: $i] :
% 5.55/5.85 ( ( mem @ V3l @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDL @ A_27b @ A_27a ) @ V0f ) @ V1e ) @ ( ap @ ( ap @ ( c_2Elist_2EFILTER @ A_27b ) @ V2P ) @ V3l ) )
% 5.55/5.85 = ( ap
% 5.55/5.85 @ ( ap
% 5.55/5.85 @ ( ap @ ( c_2Elist_2EFOLDL @ A_27b @ A_27a )
% 5.55/5.85 @ ( lam @ A_27a
% 5.55/5.85 @ ^ [V4x: $i] :
% 5.55/5.85 ( lam @ A_27b
% 5.55/5.85 @ ^ [V5y: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ A_27a ) @ ( ap @ V2P @ V5y ) ) @ ( ap @ ( ap @ V0f @ V4x ) @ V5y ) ) @ V4x ) ) ) )
% 5.55/5.85 @ V1e )
% 5.55/5.85 @ V3l ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EASSOC__FOLDR__FLAT,axiom,
% 5.55/5.85 ! [A_27a: del,V0f: $i] :
% 5.55/5.85 ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( c_2Ecombin_2EASSOC @ A_27a ) @ V0f ) )
% 5.55/5.85 => ! [V1e: $i] :
% 5.55/5.85 ( ( mem @ V1e @ A_27a )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ ( c_2Ecombin_2ELEFT__ID @ A_27a @ A_27a ) @ V0f ) @ V1e ) )
% 5.55/5.85 => ! [V2l: $i] :
% 5.55/5.85 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ ( ty_2Elist_2Elist @ A_27a ) ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDR @ A_27a @ A_27a ) @ V0f ) @ V1e ) @ ( ap @ ( c_2Elist_2EFLAT @ A_27a ) @ V2l ) )
% 5.55/5.85 = ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDR @ A_27a @ A_27a ) @ V0f ) @ V1e ) @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ ( ty_2Elist_2Elist @ A_27a ) @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EFOLDR @ A_27a @ A_27a ) @ V0f ) @ V1e ) ) @ V2l ) ) ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EASSOC__FOLDL__FLAT,axiom,
% 5.55/5.85 ! [A_27a: del,V0f: $i] :
% 5.55/5.85 ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( c_2Ecombin_2EASSOC @ A_27a ) @ V0f ) )
% 5.55/5.85 => ! [V1e: $i] :
% 5.55/5.85 ( ( mem @ V1e @ A_27a )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ ( c_2Ecombin_2ERIGHT__ID @ A_27a @ A_27a ) @ V0f ) @ V1e ) )
% 5.55/5.85 => ! [V2l: $i] :
% 5.55/5.85 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ ( ty_2Elist_2Elist @ A_27a ) ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDL @ A_27a @ A_27a ) @ V0f ) @ V1e ) @ ( ap @ ( c_2Elist_2EFLAT @ A_27a ) @ V2l ) )
% 5.55/5.85 = ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDL @ A_27a @ A_27a ) @ V0f ) @ V1e ) @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ ( ty_2Elist_2Elist @ A_27a ) @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EFOLDL @ A_27a @ A_27a ) @ V0f ) @ V1e ) ) @ V2l ) ) ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EMAP__FLAT,axiom,
% 5.55/5.85 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.55/5.85 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.55/5.85 => ! [V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ ( ty_2Elist_2Elist @ A_27a ) ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27a @ A_27b ) @ V0f ) @ ( ap @ ( c_2Elist_2EFLAT @ A_27a ) @ V1l ) )
% 5.55/5.85 = ( ap @ ( c_2Elist_2EFLAT @ A_27b ) @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27b ) ) @ ( ap @ ( c_2Elist_2EMAP @ A_27a @ A_27b ) @ V0f ) ) @ V1l ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EFILTER__FLAT,axiom,
% 5.55/5.85 ! [A_27a: del,V0P: $i] :
% 5.55/5.85 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.85 => ! [V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ ( ty_2Elist_2Elist @ A_27a ) ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Elist_2EFILTER @ A_27a ) @ V0P ) @ ( ap @ ( c_2Elist_2EFLAT @ A_27a ) @ V1l ) )
% 5.55/5.85 = ( ap @ ( c_2Elist_2EFLAT @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ap @ ( c_2Elist_2EFILTER @ A_27a ) @ V0P ) ) @ V1l ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EEXISTS__DISJ,axiom,
% 5.55/5.85 ! [A_27a: del,V0P: $i] :
% 5.55/5.85 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.85 => ! [V1Q: $i] :
% 5.55/5.85 ( ( mem @ V1Q @ ( arr @ A_27a @ bool ) )
% 5.55/5.85 => ! [V2l: $i] :
% 5.55/5.85 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p
% 5.55/5.85 @ ( ap
% 5.55/5.85 @ ( ap @ ( c_2Elist_2EEXISTS @ A_27a )
% 5.55/5.85 @ ( lam @ A_27a
% 5.55/5.85 @ ^ [V3x: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V0P @ V3x ) ) @ ( ap @ V1Q @ V3x ) ) ) )
% 5.55/5.85 @ V2l ) )
% 5.55/5.85 <=> ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EEXISTS @ A_27a ) @ V0P ) @ V2l ) )
% 5.55/5.85 | ( p @ ( ap @ ( ap @ ( c_2Elist_2EEXISTS @ A_27a ) @ V1Q ) @ V2l ) ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EMEM__FOLDR,axiom,
% 5.55/5.85 ! [A_27a: del,V0y: $i] :
% 5.55/5.85 ( ( mem @ V0y @ A_27a )
% 5.55/5.85 => ! [V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0y ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V1l ) ) )
% 5.55/5.85 <=> ( p
% 5.55/5.85 @ ( ap
% 5.55/5.85 @ ( ap
% 5.55/5.85 @ ( ap @ ( c_2Elist_2EFOLDR @ A_27a @ bool )
% 5.55/5.85 @ ( lam @ A_27a
% 5.55/5.85 @ ^ [V2x: $i] :
% 5.55/5.85 ( lam @ bool
% 5.55/5.85 @ ^ [V3l_27: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V0y ) @ V2x ) ) @ V3l_27 ) ) ) )
% 5.55/5.85 @ c_2Ebool_2EF )
% 5.55/5.85 @ V1l ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EMEM__FOLDL,axiom,
% 5.55/5.85 ! [A_27a: del,V0y: $i] :
% 5.55/5.85 ( ( mem @ V0y @ A_27a )
% 5.55/5.85 => ! [V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0y ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V1l ) ) )
% 5.55/5.85 <=> ( p
% 5.55/5.85 @ ( ap
% 5.55/5.85 @ ( ap
% 5.55/5.85 @ ( ap @ ( c_2Elist_2EFOLDL @ A_27a @ bool )
% 5.55/5.85 @ ( lam @ bool
% 5.55/5.85 @ ^ [V2l_27: $i] :
% 5.55/5.85 ( lam @ A_27a
% 5.55/5.85 @ ^ [V3x: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ V2l_27 ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V0y ) @ V3x ) ) ) ) )
% 5.55/5.85 @ c_2Ebool_2EF )
% 5.55/5.85 @ V1l ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ENULL__FOLDR,axiom,
% 5.55/5.85 ! [A_27a: del,V0l: $i] :
% 5.55/5.85 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( c_2Elist_2ENULL @ A_27a ) @ V0l ) )
% 5.55/5.85 <=> ( p
% 5.55/5.85 @ ( ap
% 5.55/5.85 @ ( ap
% 5.55/5.85 @ ( ap @ ( c_2Elist_2EFOLDR @ A_27a @ bool )
% 5.55/5.85 @ ( lam @ A_27a
% 5.55/5.85 @ ^ [V1x: $i] :
% 5.55/5.85 ( lam @ bool
% 5.55/5.85 @ ^ [V2l_27: $i] : c_2Ebool_2EF ) ) )
% 5.55/5.85 @ c_2Ebool_2ET )
% 5.55/5.85 @ V0l ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ENULL__FOLDL,axiom,
% 5.55/5.85 ! [A_27a: del,V0l: $i] :
% 5.55/5.85 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( c_2Elist_2ENULL @ A_27a ) @ V0l ) )
% 5.55/5.85 <=> ( p
% 5.55/5.85 @ ( ap
% 5.55/5.85 @ ( ap
% 5.55/5.85 @ ( ap @ ( c_2Elist_2EFOLDL @ A_27a @ bool )
% 5.55/5.85 @ ( lam @ bool
% 5.55/5.85 @ ^ [V1x: $i] :
% 5.55/5.85 ( lam @ A_27a
% 5.55/5.85 @ ^ [V2l_27: $i] : c_2Ebool_2EF ) ) )
% 5.55/5.85 @ c_2Ebool_2ET )
% 5.55/5.85 @ V0l ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EMAP__REVERSE,axiom,
% 5.55/5.85 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.55/5.85 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.55/5.85 => ! [V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27a @ A_27b ) @ V0f ) @ ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ V1l ) )
% 5.55/5.85 = ( ap @ ( c_2Elist_2EREVERSE @ A_27b ) @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27a @ A_27b ) @ V0f ) @ V1l ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ESEG__LENGTH__ID,axiom,
% 5.55/5.85 ! [A_27a: del,V0l: $i] :
% 5.55/5.85 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( ap @ ( c_2Erich__list_2ESEG @ A_27a ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ V0l )
% 5.55/5.85 = V0l ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ESEG__SUC__CONS,axiom,
% 5.55/5.85 ! [A_27a: del,V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum,V2l: $i] :
% 5.55/5.85 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V3x: $i] :
% 5.55/5.85 ( ( mem @ V3x @ A_27a )
% 5.55/5.85 => ( ( ap @ ( ap @ ( ap @ ( c_2Erich__list_2ESEG @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3x ) @ V2l ) )
% 5.55/5.85 = ( ap @ ( ap @ ( ap @ ( c_2Erich__list_2ESEG @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ V2l ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ESEG__0__SNOC,axiom,
% 5.55/5.85 ! [A_27a: del,V0m: tp__ty_2Enum_2Enum,V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V2x: $i] :
% 5.55/5.85 ( ( mem @ V2x @ A_27a )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l ) ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( ap @ ( c_2Erich__list_2ESEG @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ ( ap @ ( c_2Elist_2ESNOC @ A_27a ) @ V2x ) @ V1l ) )
% 5.55/5.85 = ( ap @ ( ap @ ( ap @ ( c_2Erich__list_2ESEG @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ V1l ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EBUTLASTN__SEG,axiom,
% 5.55/5.85 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l ) ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Erich__list_2EBUTLASTN @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1l )
% 5.55/5.85 = ( ap @ ( ap @ ( ap @ ( c_2Erich__list_2ESEG @ A_27a ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ V1l ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ELASTN__CONS,axiom,
% 5.55/5.85 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l ) ) )
% 5.55/5.85 => ! [V2x: $i] :
% 5.55/5.85 ( ( mem @ V2x @ A_27a )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Erich__list_2ELASTN @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2x ) @ V1l ) )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Erich__list_2ELASTN @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1l ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ELENGTH__LASTN,axiom,
% 5.55/5.85 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l ) ) )
% 5.55/5.85 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ ( ap @ ( ap @ ( c_2Erich__list_2ELASTN @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1l ) ) )
% 5.55/5.85 = V0n ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ELASTN__LENGTH__ID,axiom,
% 5.55/5.85 ! [A_27a: del,V0l: $i] :
% 5.55/5.85 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Erich__list_2ELASTN @ A_27a ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ V0l )
% 5.55/5.85 = V0l ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ELASTN__LASTN,axiom,
% 5.55/5.85 ! [A_27a: del,V0l: $i] :
% 5.55/5.85 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V1n: tp__ty_2Enum_2Enum,V2m: tp__ty_2Enum_2Enum] :
% 5.55/5.85 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V2m ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V2m ) ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Erich__list_2ELASTN @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ ( ap @ ( c_2Erich__list_2ELASTN @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V2m ) ) @ V0l ) )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Erich__list_2ELASTN @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ V0l ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ETAKE__SNOC,axiom,
% 5.55/5.85 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l ) ) )
% 5.55/5.85 => ! [V2x: $i] :
% 5.55/5.85 ( ( mem @ V2x @ A_27a )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Elist_2ETAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( ap @ ( c_2Elist_2ESNOC @ A_27a ) @ V2x ) @ V1l ) )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ETAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1l ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EBUTLASTN__SUC__FRONT,axiom,
% 5.55/5.85 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l ) ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Erich__list_2EBUTLASTN @ A_27a ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ V1l )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Erich__list_2EBUTLASTN @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( c_2Elist_2EFRONT @ A_27a ) @ V1l ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EBUTLASTN__FRONT,axiom,
% 5.55/5.85 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l ) ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Erich__list_2EBUTLASTN @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( c_2Elist_2EFRONT @ A_27a ) @ V1l ) )
% 5.55/5.85 = ( ap @ ( c_2Elist_2EFRONT @ A_27a ) @ ( ap @ ( ap @ ( c_2Erich__list_2EBUTLASTN @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1l ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ELENGTH__BUTLASTN,axiom,
% 5.55/5.85 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l ) ) )
% 5.55/5.85 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ ( ap @ ( ap @ ( c_2Erich__list_2EBUTLASTN @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1l ) ) )
% 5.55/5.85 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EBUTLASTN__BUTLASTN,axiom,
% 5.55/5.85 ! [A_27a: del,V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum,V2l: $i] :
% 5.55/5.85 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2l ) ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Erich__list_2EBUTLASTN @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ ( ap @ ( c_2Erich__list_2EBUTLASTN @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ V2l ) )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Erich__list_2EBUTLASTN @ A_27a ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) @ V2l ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EAPPEND__BUTLASTN__LASTN,axiom,
% 5.55/5.85 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l ) ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ ( ap @ ( ap @ ( c_2Erich__list_2EBUTLASTN @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1l ) ) @ ( ap @ ( ap @ ( c_2Erich__list_2ELASTN @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1l ) )
% 5.55/5.85 = V1l ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EAPPEND__TAKE__LASTN,axiom,
% 5.55/5.85 ! [A_27a: del,V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum,V2l: $i] :
% 5.55/5.85 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.55/5.85 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2l ) ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ETAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ V2l ) ) @ ( ap @ ( ap @ ( c_2Erich__list_2ELASTN @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ V2l ) )
% 5.55/5.85 = V2l ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EBUTLASTN__APPEND2,axiom,
% 5.55/5.85 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1l1: $i] :
% 5.55/5.85 ( ( mem @ V1l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V2l2: $i] :
% 5.55/5.85 ( ( mem @ V2l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2l2 ) ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Erich__list_2EBUTLASTN @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V1l1 ) @ V2l2 ) )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V1l1 ) @ ( ap @ ( ap @ ( c_2Erich__list_2EBUTLASTN @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V2l2 ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EBUTLASTN__LENGTH__APPEND,axiom,
% 5.55/5.85 ! [A_27a: del,V0l2: $i] :
% 5.55/5.85 ( ( mem @ V0l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V1l1: $i] :
% 5.55/5.85 ( ( mem @ V1l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Erich__list_2EBUTLASTN @ A_27a ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l2 ) ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V1l1 ) @ V0l2 ) )
% 5.55/5.85 = V1l1 ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ELASTN__LENGTH__APPEND,axiom,
% 5.55/5.85 ! [A_27a: del,V0l2: $i] :
% 5.55/5.85 ( ( mem @ V0l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V1l1: $i] :
% 5.55/5.85 ( ( mem @ V1l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Erich__list_2ELASTN @ A_27a ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l2 ) ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V1l1 ) @ V0l2 ) )
% 5.55/5.85 = V0l2 ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EBUTLASTN__CONS,axiom,
% 5.55/5.85 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l ) ) )
% 5.55/5.85 => ! [V2x: $i] :
% 5.55/5.85 ( ( mem @ V2x @ A_27a )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Erich__list_2EBUTLASTN @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2x ) @ V1l ) )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2x ) @ ( ap @ ( ap @ ( c_2Erich__list_2EBUTLASTN @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1l ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EBUTLASTN__LENGTH__CONS,axiom,
% 5.55/5.85 ! [A_27a: del,V0l: $i] :
% 5.55/5.85 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V1x: $i] :
% 5.55/5.85 ( ( mem @ V1x @ A_27a )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Erich__list_2EBUTLASTN @ A_27a ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1x ) @ V0l ) )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1x ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ELAST__LASTN__LAST,axiom,
% 5.55/5.85 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l ) ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.55/5.85 => ( ( ap @ ( c_2Elist_2ELAST @ A_27a ) @ ( ap @ ( ap @ ( c_2Erich__list_2ELASTN @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1l ) )
% 5.55/5.85 = ( ap @ ( c_2Elist_2ELAST @ A_27a ) @ V1l ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EBUTLASTN__LASTN__NIL,axiom,
% 5.55/5.85 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l ) ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Erich__list_2EBUTLASTN @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( ap @ ( c_2Erich__list_2ELASTN @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1l ) )
% 5.55/5.85 = ( c_2Elist_2ENIL @ A_27a ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ELASTN__BUTLASTN,axiom,
% 5.55/5.85 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1m: tp__ty_2Enum_2Enum,V2l: $i] :
% 5.55/5.85 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2l ) ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Erich__list_2ELASTN @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( ap @ ( c_2Erich__list_2EBUTLASTN @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ V2l ) )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Erich__list_2EBUTLASTN @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( ap @ ( ap @ ( c_2Erich__list_2ELASTN @ A_27a ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) @ V2l ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EBUTLASTN__LASTN,axiom,
% 5.55/5.85 ! [A_27a: del,V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum,V2l: $i] :
% 5.55/5.85 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.55/5.85 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2l ) ) ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Erich__list_2EBUTLASTN @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( ap @ ( ap @ ( c_2Erich__list_2ELASTN @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ V2l ) )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Erich__list_2ELASTN @ A_27a ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) @ ( ap @ ( ap @ ( c_2Erich__list_2EBUTLASTN @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ V2l ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ELASTN__1,axiom,
% 5.55/5.85 ! [A_27a: del,V0l: $i] :
% 5.55/5.85 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( V0l
% 5.55/5.85 != ( c_2Elist_2ENIL @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Erich__list_2ELASTN @ A_27a ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ V0l )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( c_2Elist_2ELAST @ A_27a ) @ V0l ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EBUTLASTN__1,axiom,
% 5.55/5.85 ! [A_27a: del,V0l: $i] :
% 5.55/5.85 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( V0l
% 5.55/5.85 != ( c_2Elist_2ENIL @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Erich__list_2EBUTLASTN @ A_27a ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ V0l )
% 5.55/5.85 = ( ap @ ( c_2Elist_2EFRONT @ A_27a ) @ V0l ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EBUTLASTN__APPEND1,axiom,
% 5.55/5.85 ! [A_27a: del,V0l2: $i] :
% 5.55/5.85 ( ( mem @ V0l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V1n: tp__ty_2Enum_2Enum] :
% 5.55/5.85 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l2 ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.55/5.85 => ! [V2l1: $i] :
% 5.55/5.85 ( ( mem @ V2l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Erich__list_2EBUTLASTN @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V2l1 ) @ V0l2 ) )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Erich__list_2EBUTLASTN @ A_27a ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l2 ) ) ) @ V2l1 ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ELASTN__APPEND2,axiom,
% 5.55/5.85 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1l2: $i] :
% 5.55/5.85 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l2 ) ) )
% 5.55/5.85 => ! [V2l1: $i] :
% 5.55/5.85 ( ( mem @ V2l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Erich__list_2ELASTN @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V2l1 ) @ V1l2 ) )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Erich__list_2ELASTN @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1l2 ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ELASTN__APPEND1,axiom,
% 5.55/5.85 ! [A_27a: del,V0l2: $i] :
% 5.55/5.85 ( ( mem @ V0l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V1n: tp__ty_2Enum_2Enum] :
% 5.55/5.85 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l2 ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.55/5.85 => ! [V2l1: $i] :
% 5.55/5.85 ( ( mem @ V2l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Erich__list_2ELASTN @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V2l1 ) @ V0l2 ) )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ ( ap @ ( ap @ ( c_2Erich__list_2ELASTN @ A_27a ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l2 ) ) ) @ V2l1 ) ) @ V0l2 ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ELASTN__MAP,axiom,
% 5.55/5.85 ! [A_27a: del,A_27b: del,V0n: tp__ty_2Enum_2Enum,V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l ) ) )
% 5.55/5.85 => ! [V2f: $i] :
% 5.55/5.85 ( ( mem @ V2f @ ( arr @ A_27a @ A_27b ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Erich__list_2ELASTN @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27a @ A_27b ) @ V2f ) @ V1l ) )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27a @ A_27b ) @ V2f ) @ ( ap @ ( ap @ ( c_2Erich__list_2ELASTN @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1l ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EBUTLASTN__MAP,axiom,
% 5.55/5.85 ! [A_27a: del,A_27b: del,V0n: tp__ty_2Enum_2Enum,V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l ) ) )
% 5.55/5.85 => ! [V2f: $i] :
% 5.55/5.85 ( ( mem @ V2f @ ( arr @ A_27a @ A_27b ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Erich__list_2EBUTLASTN @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27a @ A_27b ) @ V2f ) @ V1l ) )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27a @ A_27b ) @ V2f ) @ ( ap @ ( ap @ ( c_2Erich__list_2EBUTLASTN @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1l ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EEVERY__LASTN,axiom,
% 5.55/5.85 ! [A_27a: del,V0P: $i] :
% 5.55/5.85 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.85 => ! [V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EEVERY @ A_27a ) @ V0P ) @ V1l ) )
% 5.55/5.85 => ! [V2m: tp__ty_2Enum_2Enum] :
% 5.55/5.85 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V2m ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l ) ) )
% 5.55/5.85 => ( p @ ( ap @ ( ap @ ( c_2Elist_2EEVERY @ A_27a ) @ V0P ) @ ( ap @ ( ap @ ( c_2Erich__list_2ELASTN @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V2m ) ) @ V1l ) ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EEVERY__BUTLASTN,axiom,
% 5.55/5.85 ! [A_27a: del,V0P: $i] :
% 5.55/5.85 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.85 => ! [V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EEVERY @ A_27a ) @ V0P ) @ V1l ) )
% 5.55/5.85 => ! [V2m: tp__ty_2Enum_2Enum] :
% 5.55/5.85 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V2m ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l ) ) )
% 5.55/5.85 => ( p @ ( ap @ ( ap @ ( c_2Elist_2EEVERY @ A_27a ) @ V0P ) @ ( ap @ ( ap @ ( c_2Erich__list_2EBUTLASTN @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V2m ) ) @ V1l ) ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ETAKE__TAKE__T,axiom,
% 5.55/5.85 ! [A_27a: del,V0m: tp__ty_2Enum_2Enum,V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V2n: tp__ty_2Enum_2Enum] :
% 5.55/5.85 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Elist_2ETAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( ap @ ( ap @ ( c_2Elist_2ETAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ V1l ) )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ETAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ V1l ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ETAKE__TAKE,axiom,
% 5.55/5.85 ! [A_27a: del,V0m: tp__ty_2Enum_2Enum,V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l ) ) )
% 5.55/5.85 => ! [V2n: tp__ty_2Enum_2Enum] :
% 5.55/5.85 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Elist_2ETAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( ap @ ( ap @ ( c_2Elist_2ETAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ V1l ) )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ETAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ V1l ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EDROP__LENGTH__NIL,axiom,
% 5.55/5.85 ! [A_27a: del,V0l: $i] :
% 5.55/5.85 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Elist_2EDROP @ A_27a ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ V0l )
% 5.55/5.85 = ( c_2Elist_2ENIL @ A_27a ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EBUTLASTN__LENGTH__NIL,axiom,
% 5.55/5.85 ! [A_27a: del,V0l: $i] :
% 5.55/5.85 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Erich__list_2EBUTLASTN @ A_27a ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ V0l )
% 5.55/5.85 = ( c_2Elist_2ENIL @ A_27a ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EDROP__APPEND,axiom,
% 5.55/5.85 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1l1: $i] :
% 5.55/5.85 ( ( mem @ V1l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V2l2: $i] :
% 5.55/5.85 ( ( mem @ V2l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Elist_2EDROP @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V1l1 ) @ V2l2 ) )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EDROP @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1l1 ) ) @ ( ap @ ( ap @ ( c_2Elist_2EDROP @ A_27a ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l1 ) ) ) @ V2l2 ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EDROP__APPEND1,axiom,
% 5.55/5.85 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1l1: $i] :
% 5.55/5.85 ( ( mem @ V1l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l1 ) ) )
% 5.55/5.85 => ! [V2l2: $i] :
% 5.55/5.85 ( ( mem @ V2l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Elist_2EDROP @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V1l1 ) @ V2l2 ) )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EDROP @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1l1 ) ) @ V2l2 ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EDROP__APPEND2,axiom,
% 5.55/5.85 ! [A_27a: del,V0l1: $i] :
% 5.55/5.85 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V1n: tp__ty_2Enum_2Enum] :
% 5.55/5.85 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l1 ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.55/5.85 => ! [V2l2: $i] :
% 5.55/5.85 ( ( mem @ V2l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Elist_2EDROP @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V0l1 ) @ V2l2 ) )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2EDROP @ A_27a ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l1 ) ) ) @ V2l2 ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EDROP__DROP__T,axiom,
% 5.55/5.85 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1m: tp__ty_2Enum_2Enum,V2l: $i] :
% 5.55/5.85 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Elist_2EDROP @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( ap @ ( c_2Elist_2EDROP @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ V2l ) )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2EDROP @ A_27a ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) @ V2l ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EDROP__DROP,axiom,
% 5.55/5.85 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1m: tp__ty_2Enum_2Enum,V2l: $i] :
% 5.55/5.85 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2l ) ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Elist_2EDROP @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( ap @ ( c_2Elist_2EDROP @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ V2l ) )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2EDROP @ A_27a ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) @ V2l ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ELASTN__SEG,axiom,
% 5.55/5.85 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l ) ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Erich__list_2ELASTN @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1l )
% 5.55/5.85 = ( ap @ ( ap @ ( ap @ ( c_2Erich__list_2ESEG @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ V1l ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ETAKE__SEG,axiom,
% 5.55/5.85 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l ) ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Elist_2ETAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1l )
% 5.55/5.85 = ( ap @ ( ap @ ( ap @ ( c_2Erich__list_2ESEG @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ V1l ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EDROP__SEG,axiom,
% 5.55/5.85 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l ) ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Elist_2EDROP @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1l )
% 5.55/5.85 = ( ap @ ( ap @ ( ap @ ( c_2Erich__list_2ESEG @ A_27a ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1l ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EDROP__SNOC,axiom,
% 5.55/5.85 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l ) ) )
% 5.55/5.85 => ! [V2x: $i] :
% 5.55/5.85 ( ( mem @ V2x @ A_27a )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Elist_2EDROP @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( ap @ ( c_2Elist_2ESNOC @ A_27a ) @ V2x ) @ V1l ) )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ESNOC @ A_27a ) @ V2x ) @ ( ap @ ( ap @ ( c_2Elist_2EDROP @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1l ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EAPPEND__BUTLASTN__DROP,axiom,
% 5.55/5.85 ! [A_27a: del,V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum,V2l: $i] :
% 5.55/5.85 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.55/5.85 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2l ) ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ ( ap @ ( ap @ ( c_2Erich__list_2EBUTLASTN @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ V2l ) ) @ ( ap @ ( ap @ ( c_2Elist_2EDROP @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ V2l ) )
% 5.55/5.85 = V2l ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ESEG__SEG,axiom,
% 5.55/5.85 ! [A_27a: del,V0n1: tp__ty_2Enum_2Enum,V1m1: tp__ty_2Enum_2Enum,V2n2: tp__ty_2Enum_2Enum,V3m2: tp__ty_2Enum_2Enum,V4l: $i] :
% 5.55/5.85 ( ( mem @ V4l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0n1 ) ) @ ( inj__ty_2Enum_2Enum @ V1m1 ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4l ) ) )
% 5.55/5.85 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V2n2 ) ) @ ( inj__ty_2Enum_2Enum @ V3m2 ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n1 ) ) ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( ap @ ( c_2Erich__list_2ESEG @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V2n2 ) ) @ ( inj__ty_2Enum_2Enum @ V3m2 ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Erich__list_2ESEG @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n1 ) ) @ ( inj__ty_2Enum_2Enum @ V1m1 ) ) @ V4l ) )
% 5.55/5.85 = ( ap @ ( ap @ ( ap @ ( c_2Erich__list_2ESEG @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V2n2 ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1m1 ) ) @ ( inj__ty_2Enum_2Enum @ V3m2 ) ) ) @ V4l ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ESEG__APPEND1,axiom,
% 5.55/5.85 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1m: tp__ty_2Enum_2Enum,V2l1: $i] :
% 5.55/5.85 ( ( mem @ V2l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2l1 ) ) )
% 5.55/5.85 => ! [V3l2: $i] :
% 5.55/5.85 ( ( mem @ V3l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( ap @ ( c_2Erich__list_2ESEG @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V2l1 ) @ V3l2 ) )
% 5.55/5.85 = ( ap @ ( ap @ ( ap @ ( c_2Erich__list_2ESEG @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ V2l1 ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ESEG__APPEND2,axiom,
% 5.55/5.85 ! [A_27a: del,V0l1: $i] :
% 5.55/5.85 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V1m: tp__ty_2Enum_2Enum,V2n: tp__ty_2Enum_2Enum,V3l2: $i] :
% 5.55/5.85 ( ( mem @ V3l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l1 ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) )
% 5.55/5.85 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V3l2 ) ) ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( ap @ ( c_2Erich__list_2ESEG @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V0l1 ) @ V3l2 ) )
% 5.55/5.85 = ( ap @ ( ap @ ( ap @ ( c_2Erich__list_2ESEG @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l1 ) ) ) @ V3l2 ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ESEG__TAKE__DROP,axiom,
% 5.55/5.85 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1m: tp__ty_2Enum_2Enum,V2l: $i] :
% 5.55/5.85 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2l ) ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( ap @ ( c_2Erich__list_2ESEG @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ V2l )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ETAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( ap @ ( c_2Elist_2EDROP @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ V2l ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ESEG__APPEND,axiom,
% 5.55/5.85 ! [A_27a: del,V0m: tp__ty_2Enum_2Enum,V1l1: $i] :
% 5.55/5.85 ( ( mem @ V1l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V2n: tp__ty_2Enum_2Enum,V3l2: $i] :
% 5.55/5.85 ( ( mem @ V3l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l1 ) ) )
% 5.55/5.85 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l1 ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) )
% 5.55/5.85 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l1 ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V3l2 ) ) ) ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( ap @ ( c_2Erich__list_2ESEG @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V1l1 ) @ V3l2 ) )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ ( ap @ ( ap @ ( ap @ ( c_2Erich__list_2ESEG @ A_27a ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l1 ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ V1l1 ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Erich__list_2ESEG @ A_27a ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l1 ) ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ V3l2 ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ESEG__LENGTH__SNOC,axiom,
% 5.55/5.85 ! [A_27a: del,V0l: $i] :
% 5.55/5.85 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V1x: $i] :
% 5.55/5.85 ( ( mem @ V1x @ A_27a )
% 5.55/5.85 => ( ( ap @ ( ap @ ( ap @ ( c_2Erich__list_2ESEG @ A_27a ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ ( c_2Elist_2ESNOC @ A_27a ) @ V1x ) @ V0l ) )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1x ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ESEG__SNOC,axiom,
% 5.55/5.85 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1m: tp__ty_2Enum_2Enum,V2l: $i] :
% 5.55/5.85 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2l ) ) )
% 5.55/5.85 => ! [V3x: $i] :
% 5.55/5.85 ( ( mem @ V3x @ A_27a )
% 5.55/5.85 => ( ( ap @ ( ap @ ( ap @ ( c_2Erich__list_2ESEG @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( ap @ ( ap @ ( c_2Elist_2ESNOC @ A_27a ) @ V3x ) @ V2l ) )
% 5.55/5.85 = ( ap @ ( ap @ ( ap @ ( c_2Erich__list_2ESEG @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ V2l ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EELL__SEG,axiom,
% 5.55/5.85 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l ) ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Erich__list_2EELL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1l )
% 5.55/5.85 = ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( ap @ ( ap @ ( c_2Erich__list_2ESEG @ A_27a ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ c_2Eprim__rec_2EPRE @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) @ V1l ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ESNOC__FOLDR,axiom,
% 5.55/5.85 ! [A_27a: del,V0x: $i] :
% 5.55/5.85 ( ( mem @ V0x @ A_27a )
% 5.55/5.85 => ! [V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Elist_2ESNOC @ A_27a ) @ V0x ) @ V1l )
% 5.55/5.85 = ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDR @ A_27a @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( c_2Elist_2ECONS @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V0x ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) @ V1l ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EMEM__FOLDR__MAP,axiom,
% 5.55/5.85 ! [A_27a: del,V0x: $i] :
% 5.55/5.85 ( ( mem @ V0x @ A_27a )
% 5.55/5.85 => ! [V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V1l ) ) )
% 5.55/5.85 <=> ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDR @ bool @ bool ) @ c_2Ebool_2E_5C_2F ) @ c_2Ebool_2EF ) @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27a @ bool ) @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V0x ) ) @ V1l ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EMEM__FOLDL__MAP,axiom,
% 5.55/5.85 ! [A_27a: del,V0x: $i] :
% 5.55/5.85 ( ( mem @ V0x @ A_27a )
% 5.55/5.85 => ! [V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V1l ) ) )
% 5.55/5.85 <=> ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDL @ bool @ bool ) @ c_2Ebool_2E_5C_2F ) @ c_2Ebool_2EF ) @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27a @ bool ) @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V0x ) ) @ V1l ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EFILTER__FILTER,axiom,
% 5.55/5.85 ! [A_27a: del,V0P: $i] :
% 5.55/5.85 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.85 => ! [V1Q: $i] :
% 5.55/5.85 ( ( mem @ V1Q @ ( arr @ A_27a @ bool ) )
% 5.55/5.85 => ! [V2l: $i] :
% 5.55/5.85 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Elist_2EFILTER @ A_27a ) @ V0P ) @ ( ap @ ( ap @ ( c_2Elist_2EFILTER @ A_27a ) @ V1Q ) @ V2l ) )
% 5.55/5.85 = ( ap
% 5.55/5.85 @ ( ap @ ( c_2Elist_2EFILTER @ A_27a )
% 5.55/5.85 @ ( lam @ A_27a
% 5.55/5.85 @ ^ [V3x: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0P @ V3x ) ) @ ( ap @ V1Q @ V3x ) ) ) )
% 5.55/5.85 @ V2l ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EFCOMM__FOLDR__FLAT,axiom,
% 5.55/5.85 ! [A_27a: del,A_27b: del,V0g: $i] :
% 5.55/5.85 ( ( mem @ V0g @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.55/5.85 => ! [V1f: $i] :
% 5.55/5.85 ( ( mem @ V1f @ ( arr @ A_27b @ ( arr @ A_27a @ A_27a ) ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ ( c_2Ecombin_2EFCOMM @ A_27a @ A_27a @ A_27b ) @ V0g ) @ V1f ) )
% 5.55/5.85 => ! [V2e: $i] :
% 5.55/5.85 ( ( mem @ V2e @ A_27a )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ ( c_2Ecombin_2ELEFT__ID @ A_27a @ A_27a ) @ V0g ) @ V2e ) )
% 5.55/5.85 => ! [V3l: $i] :
% 5.55/5.85 ( ( mem @ V3l @ ( ty_2Elist_2Elist @ ( ty_2Elist_2Elist @ A_27b ) ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDR @ A_27b @ A_27a ) @ V1f ) @ V2e ) @ ( ap @ ( c_2Elist_2EFLAT @ A_27b ) @ V3l ) )
% 5.55/5.85 = ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDR @ A_27a @ A_27a ) @ V0g ) @ V2e ) @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ ( ty_2Elist_2Elist @ A_27b ) @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EFOLDR @ A_27b @ A_27a ) @ V1f ) @ V2e ) ) @ V3l ) ) ) ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EFCOMM__FOLDL__FLAT,axiom,
% 5.55/5.85 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.55/5.85 ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27b @ A_27a ) ) )
% 5.55/5.85 => ! [V1g: $i] :
% 5.55/5.85 ( ( mem @ V1g @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ ( c_2Ecombin_2EFCOMM @ A_27a @ A_27b @ A_27a ) @ V0f ) @ V1g ) )
% 5.55/5.85 => ! [V2e: $i] :
% 5.55/5.85 ( ( mem @ V2e @ A_27a )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ ( c_2Ecombin_2ERIGHT__ID @ A_27a @ A_27a ) @ V1g ) @ V2e ) )
% 5.55/5.85 => ! [V3l: $i] :
% 5.55/5.85 ( ( mem @ V3l @ ( ty_2Elist_2Elist @ ( ty_2Elist_2Elist @ A_27b ) ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDL @ A_27b @ A_27a ) @ V0f ) @ V2e ) @ ( ap @ ( c_2Elist_2EFLAT @ A_27b ) @ V3l ) )
% 5.55/5.85 = ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDL @ A_27a @ A_27a ) @ V1g ) @ V2e ) @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ ( ty_2Elist_2Elist @ A_27b ) @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EFOLDL @ A_27b @ A_27a ) @ V0f ) @ V2e ) ) @ V3l ) ) ) ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EFOLDR__MAP__REVERSE,axiom,
% 5.55/5.85 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.55/5.85 ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.55/5.85 => ( ! [V1a: $i] :
% 5.55/5.85 ( ( mem @ V1a @ A_27a )
% 5.55/5.85 => ! [V2b: $i] :
% 5.55/5.85 ( ( mem @ V2b @ A_27a )
% 5.55/5.85 => ! [V3c: $i] :
% 5.55/5.85 ( ( mem @ V3c @ A_27a )
% 5.55/5.85 => ( ( ap @ ( ap @ V0f @ V1a ) @ ( ap @ ( ap @ V0f @ V2b ) @ V3c ) )
% 5.55/5.85 = ( ap @ ( ap @ V0f @ V2b ) @ ( ap @ ( ap @ V0f @ V1a ) @ V3c ) ) ) ) ) )
% 5.55/5.85 => ! [V4e: $i] :
% 5.55/5.85 ( ( mem @ V4e @ A_27a )
% 5.55/5.85 => ! [V5g: $i] :
% 5.55/5.85 ( ( mem @ V5g @ ( arr @ A_27b @ A_27a ) )
% 5.55/5.85 => ! [V6l: $i] :
% 5.55/5.85 ( ( mem @ V6l @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDR @ A_27a @ A_27a ) @ V0f ) @ V4e ) @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27b @ A_27a ) @ V5g ) @ ( ap @ ( c_2Elist_2EREVERSE @ A_27b ) @ V6l ) ) )
% 5.55/5.85 = ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDR @ A_27a @ A_27a ) @ V0f ) @ V4e ) @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27b @ A_27a ) @ V5g ) @ V6l ) ) ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EFOLDR__FILTER__REVERSE,axiom,
% 5.55/5.85 ! [A_27a: del,V0f: $i] :
% 5.55/5.85 ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.55/5.85 => ( ! [V1a: $i] :
% 5.55/5.85 ( ( mem @ V1a @ A_27a )
% 5.55/5.85 => ! [V2b: $i] :
% 5.55/5.85 ( ( mem @ V2b @ A_27a )
% 5.55/5.85 => ! [V3c: $i] :
% 5.55/5.85 ( ( mem @ V3c @ A_27a )
% 5.55/5.85 => ( ( ap @ ( ap @ V0f @ V1a ) @ ( ap @ ( ap @ V0f @ V2b ) @ V3c ) )
% 5.55/5.85 = ( ap @ ( ap @ V0f @ V2b ) @ ( ap @ ( ap @ V0f @ V1a ) @ V3c ) ) ) ) ) )
% 5.55/5.85 => ! [V4e: $i] :
% 5.55/5.85 ( ( mem @ V4e @ A_27a )
% 5.55/5.85 => ! [V5P: $i] :
% 5.55/5.85 ( ( mem @ V5P @ ( arr @ A_27a @ bool ) )
% 5.55/5.85 => ! [V6l: $i] :
% 5.55/5.85 ( ( mem @ V6l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDR @ A_27a @ A_27a ) @ V0f ) @ V4e ) @ ( ap @ ( ap @ ( c_2Elist_2EFILTER @ A_27a ) @ V5P ) @ ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ V6l ) ) )
% 5.55/5.85 = ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDR @ A_27a @ A_27a ) @ V0f ) @ V4e ) @ ( ap @ ( ap @ ( c_2Elist_2EFILTER @ A_27a ) @ V5P ) @ V6l ) ) ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ECOMM__ASSOC__FOLDR__REVERSE,axiom,
% 5.55/5.85 ! [A_27a: del,V0f: $i] :
% 5.55/5.85 ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( c_2Ecombin_2ECOMM @ A_27a @ A_27a ) @ V0f ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( c_2Ecombin_2EASSOC @ A_27a ) @ V0f ) )
% 5.55/5.85 => ! [V1e: $i] :
% 5.55/5.85 ( ( mem @ V1e @ A_27a )
% 5.55/5.85 => ! [V2l: $i] :
% 5.55/5.85 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDR @ A_27a @ A_27a ) @ V0f ) @ V1e ) @ ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ V2l ) )
% 5.55/5.85 = ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDR @ A_27a @ A_27a ) @ V0f ) @ V1e ) @ V2l ) ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ECOMM__ASSOC__FOLDL__REVERSE,axiom,
% 5.55/5.85 ! [A_27a: del,V0f: $i] :
% 5.55/5.85 ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( c_2Ecombin_2ECOMM @ A_27a @ A_27a ) @ V0f ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( c_2Ecombin_2EASSOC @ A_27a ) @ V0f ) )
% 5.55/5.85 => ! [V1e: $i] :
% 5.55/5.85 ( ( mem @ V1e @ A_27a )
% 5.55/5.85 => ! [V2l: $i] :
% 5.55/5.85 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDL @ A_27a @ A_27a ) @ V0f ) @ V1e ) @ ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ V2l ) )
% 5.55/5.85 = ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDL @ A_27a @ A_27a ) @ V0f ) @ V1e ) @ V2l ) ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EELL__LAST,axiom,
% 5.55/5.85 ! [A_27a: del,V0l: $i] :
% 5.55/5.85 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ~ ( p @ ( ap @ ( c_2Elist_2ENULL @ A_27a ) @ V0l ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Erich__list_2EELL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ V0l )
% 5.55/5.85 = ( ap @ ( c_2Elist_2ELAST @ A_27a ) @ V0l ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EELL__0__SNOC,axiom,
% 5.55/5.85 ! [A_27a: del,V0l: $i] :
% 5.55/5.85 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V1x: $i] :
% 5.55/5.85 ( ( mem @ V1x @ A_27a )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Erich__list_2EELL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ ( ap @ ( c_2Elist_2ESNOC @ A_27a ) @ V1x ) @ V0l ) )
% 5.55/5.85 = V1x ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EELL__SNOC,axiom,
% 5.55/5.85 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum] :
% 5.55/5.85 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.55/5.85 => ! [V1x: $i] :
% 5.55/5.85 ( ( mem @ V1x @ A_27a )
% 5.55/5.85 => ! [V2l: $i] :
% 5.55/5.85 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Erich__list_2EELL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( ap @ ( c_2Elist_2ESNOC @ A_27a ) @ V1x ) @ V2l ) )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Erich__list_2EELL @ A_27a ) @ ( ap @ c_2Eprim__rec_2EPRE @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ V2l ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EELL__SUC__SNOC,axiom,
% 5.55/5.85 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1x: $i] :
% 5.55/5.85 ( ( mem @ V1x @ A_27a )
% 5.55/5.85 => ! [V2l: $i] :
% 5.55/5.85 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Erich__list_2EELL @ A_27a ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ESNOC @ A_27a ) @ V1x ) @ V2l ) )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Erich__list_2EELL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V2l ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EELL__CONS,axiom,
% 5.55/5.85 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l ) ) )
% 5.55/5.85 => ! [V2x: $i] :
% 5.55/5.85 ( ( mem @ V2x @ A_27a )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Erich__list_2EELL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2x ) @ V1l ) )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Erich__list_2EELL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1l ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EELL__LENGTH__CONS,axiom,
% 5.55/5.85 ! [A_27a: del,V0l: $i] :
% 5.55/5.85 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V1x: $i] :
% 5.55/5.85 ( ( mem @ V1x @ A_27a )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Erich__list_2EELL @ A_27a ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1x ) @ V0l ) )
% 5.55/5.85 = V1x ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EELL__LENGTH__SNOC,axiom,
% 5.55/5.85 ! [A_27a: del,V0l: $i] :
% 5.55/5.85 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V1x: $i] :
% 5.55/5.85 ( ( mem @ V1x @ A_27a )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Erich__list_2EELL @ A_27a ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( ap @ ( c_2Elist_2ESNOC @ A_27a ) @ V1x ) @ V0l ) )
% 5.55/5.85 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ A_27a ) @ ( ap @ ( c_2Elist_2ENULL @ A_27a ) @ V0l ) ) @ V1x ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ V0l ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EELL__APPEND2,axiom,
% 5.55/5.85 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1l2: $i] :
% 5.55/5.85 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l2 ) ) )
% 5.55/5.85 => ! [V2l1: $i] :
% 5.55/5.85 ( ( mem @ V2l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Erich__list_2EELL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V2l1 ) @ V1l2 ) )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Erich__list_2EELL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1l2 ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EELL__APPEND1,axiom,
% 5.55/5.85 ! [A_27a: del,V0l2: $i] :
% 5.55/5.85 ( ( mem @ V0l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V1n: tp__ty_2Enum_2Enum] :
% 5.55/5.85 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l2 ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.55/5.85 => ! [V2l1: $i] :
% 5.55/5.85 ( ( mem @ V2l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Erich__list_2EELL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V2l1 ) @ V0l2 ) )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Erich__list_2EELL @ A_27a ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l2 ) ) ) @ V2l1 ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EELL__PRE__LENGTH,axiom,
% 5.55/5.85 ! [A_27a: del,V0l: $i] :
% 5.55/5.85 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( V0l
% 5.55/5.85 != ( c_2Elist_2ENIL @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Erich__list_2EELL @ A_27a ) @ ( ap @ c_2Eprim__rec_2EPRE @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) ) @ V0l )
% 5.55/5.85 = ( ap @ ( c_2Elist_2EHD @ A_27a ) @ V0l ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EEL__PRE__LENGTH,axiom,
% 5.55/5.85 ! [A_27a: del,V0l: $i] :
% 5.55/5.85 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( V0l
% 5.55/5.85 != ( c_2Elist_2ENIL @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( ap @ c_2Eprim__rec_2EPRE @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) ) @ V0l )
% 5.55/5.85 = ( ap @ ( c_2Elist_2ELAST @ A_27a ) @ V0l ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EEL__ELL,axiom,
% 5.55/5.85 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l ) ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1l )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Erich__list_2EELL @ A_27a ) @ ( ap @ c_2Eprim__rec_2EPRE @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) @ V1l ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EEL__LENGTH__APPEND,axiom,
% 5.55/5.85 ! [A_27a: del,V0l2: $i] :
% 5.55/5.85 ( ( mem @ V0l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V1l1: $i] :
% 5.55/5.85 ( ( mem @ V1l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ~ ( p @ ( ap @ ( c_2Elist_2ENULL @ A_27a ) @ V0l2 ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l1 ) ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V1l1 ) @ V0l2 ) )
% 5.55/5.85 = ( ap @ ( c_2Elist_2EHD @ A_27a ) @ V0l2 ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EELL__EL,axiom,
% 5.55/5.85 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l ) ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Erich__list_2EELL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1l )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( ap @ c_2Eprim__rec_2EPRE @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) @ V1l ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EELL__MAP,axiom,
% 5.55/5.85 ! [A_27a: del,A_27b: del,V0n: tp__ty_2Enum_2Enum,V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V2f: $i] :
% 5.55/5.85 ( ( mem @ V2f @ ( arr @ A_27a @ A_27b ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l ) ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Erich__list_2EELL @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27a @ A_27b ) @ V2f ) @ V1l ) )
% 5.55/5.85 = ( ap @ V2f @ ( ap @ ( ap @ ( c_2Erich__list_2EELL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1l ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ELENGTH__FRONT,axiom,
% 5.55/5.85 ! [A_27a: del,V0l: $i] :
% 5.55/5.85 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( V0l
% 5.55/5.85 != ( c_2Elist_2ENIL @ A_27a ) )
% 5.55/5.85 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ ( ap @ ( c_2Elist_2EFRONT @ A_27a ) @ V0l ) ) )
% 5.55/5.85 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Eprim__rec_2EPRE @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EDROP__LENGTH__APPEND,axiom,
% 5.55/5.85 ! [A_27a: del,V0l1: $i] :
% 5.55/5.85 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V1l2: $i] :
% 5.55/5.85 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Elist_2EDROP @ A_27a ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l1 ) ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V0l1 ) @ V1l2 ) )
% 5.55/5.85 = V1l2 ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ETAKE__APPEND,axiom,
% 5.55/5.85 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1l1: $i] :
% 5.55/5.85 ( ( mem @ V1l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V2l2: $i] :
% 5.55/5.85 ( ( mem @ V2l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Elist_2ETAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V1l1 ) @ V2l2 ) )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ETAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1l1 ) ) @ ( ap @ ( ap @ ( c_2Elist_2ETAKE @ A_27a ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l1 ) ) ) @ V2l2 ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ETAKE__APPEND1,axiom,
% 5.55/5.85 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1l1: $i] :
% 5.55/5.85 ( ( mem @ V1l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l1 ) ) )
% 5.55/5.85 => ! [V2l2: $i] :
% 5.55/5.85 ( ( mem @ V2l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Elist_2ETAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V1l1 ) @ V2l2 ) )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ETAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1l1 ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ETAKE__APPEND2,axiom,
% 5.55/5.85 ! [A_27a: del,V0l1: $i] :
% 5.55/5.85 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V1n: tp__ty_2Enum_2Enum] :
% 5.55/5.85 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l1 ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.55/5.85 => ! [V2l2: $i] :
% 5.55/5.85 ( ( mem @ V2l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Elist_2ETAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V0l1 ) @ V2l2 ) )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V0l1 ) @ ( ap @ ( ap @ ( c_2Elist_2ETAKE @ A_27a ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l1 ) ) ) @ V2l2 ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ETAKE__LENGTH__APPEND,axiom,
% 5.55/5.85 ! [A_27a: del,V0l1: $i] :
% 5.55/5.85 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V1l2: $i] :
% 5.55/5.85 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Elist_2ETAKE @ A_27a ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l1 ) ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V0l1 ) @ V1l2 ) )
% 5.55/5.85 = V0l1 ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EREVERSE__FLAT,axiom,
% 5.55/5.85 ! [A_27a: del,V0l: $i] :
% 5.55/5.85 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ ( ty_2Elist_2Elist @ A_27a ) ) )
% 5.55/5.85 => ( ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ ( ap @ ( c_2Elist_2EFLAT @ A_27a ) @ V0l ) )
% 5.55/5.85 = ( ap @ ( c_2Elist_2EFLAT @ A_27a ) @ ( ap @ ( c_2Elist_2EREVERSE @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( c_2Elist_2EREVERSE @ A_27a ) ) @ V0l ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EMAP__FILTER,axiom,
% 5.55/5.85 ! [A_27a: del,V0f: $i] :
% 5.55/5.85 ( ( mem @ V0f @ ( arr @ A_27a @ A_27a ) )
% 5.55/5.85 => ! [V1P: $i] :
% 5.55/5.85 ( ( mem @ V1P @ ( arr @ A_27a @ bool ) )
% 5.55/5.85 => ! [V2l: $i] :
% 5.55/5.85 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ! [V3x: $i] :
% 5.55/5.85 ( ( mem @ V3x @ A_27a )
% 5.55/5.85 => ( ( p @ ( ap @ V1P @ ( ap @ V0f @ V3x ) ) )
% 5.55/5.85 <=> ( p @ ( ap @ V1P @ V3x ) ) ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27a @ A_27a ) @ V0f ) @ ( ap @ ( ap @ ( c_2Elist_2EFILTER @ A_27a ) @ V1P ) @ V2l ) )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2EFILTER @ A_27a ) @ V1P ) @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27a @ A_27a ) @ V0f ) @ V2l ) ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EFLAT__REVERSE,axiom,
% 5.55/5.85 ! [A_27a: del,V0l: $i] :
% 5.55/5.85 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ ( ty_2Elist_2Elist @ A_27a ) ) )
% 5.55/5.85 => ( ( ap @ ( c_2Elist_2EFLAT @ A_27a ) @ ( ap @ ( c_2Elist_2EREVERSE @ ( ty_2Elist_2Elist @ A_27a ) ) @ V0l ) )
% 5.55/5.85 = ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ ( ap @ ( c_2Elist_2EFLAT @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( c_2Elist_2EREVERSE @ A_27a ) ) @ V0l ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EFLAT__FLAT,axiom,
% 5.55/5.85 ! [A_27a: del,V0l: $i] :
% 5.55/5.85 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ ( ty_2Elist_2Elist @ ( ty_2Elist_2Elist @ A_27a ) ) ) )
% 5.55/5.85 => ( ( ap @ ( c_2Elist_2EFLAT @ A_27a ) @ ( ap @ ( c_2Elist_2EFLAT @ ( ty_2Elist_2Elist @ A_27a ) ) @ V0l ) )
% 5.55/5.85 = ( ap @ ( c_2Elist_2EFLAT @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ ( ty_2Elist_2Elist @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( c_2Elist_2EFLAT @ A_27a ) ) @ V0l ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EEVERY__REVERSE,axiom,
% 5.55/5.85 ! [A_27a: del,V0P: $i] :
% 5.55/5.85 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.85 => ! [V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EEVERY @ A_27a ) @ V0P ) @ ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ V1l ) ) )
% 5.55/5.85 <=> ( p @ ( ap @ ( ap @ ( c_2Elist_2EEVERY @ A_27a ) @ V0P ) @ V1l ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EEXISTS__REVERSE,axiom,
% 5.55/5.85 ! [A_27a: del,V0P: $i] :
% 5.55/5.85 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.85 => ! [V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EEXISTS @ A_27a ) @ V0P ) @ ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ V1l ) ) )
% 5.55/5.85 <=> ( p @ ( ap @ ( ap @ ( c_2Elist_2EEXISTS @ A_27a ) @ V0P ) @ V1l ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EEVERY__SEG,axiom,
% 5.55/5.85 ! [A_27a: del,V0P: $i] :
% 5.55/5.85 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.85 => ! [V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EEVERY @ A_27a ) @ V0P ) @ V1l ) )
% 5.55/5.85 => ! [V2m: tp__ty_2Enum_2Enum,V3k: tp__ty_2Enum_2Enum] :
% 5.55/5.85 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V2m ) ) @ ( inj__ty_2Enum_2Enum @ V3k ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l ) ) )
% 5.55/5.85 => ( p @ ( ap @ ( ap @ ( c_2Elist_2EEVERY @ A_27a ) @ V0P ) @ ( ap @ ( ap @ ( ap @ ( c_2Erich__list_2ESEG @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V2m ) ) @ ( inj__ty_2Enum_2Enum @ V3k ) ) @ V1l ) ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EEVERY__TAKE,axiom,
% 5.55/5.85 ! [A_27a: del,V0P: $i] :
% 5.55/5.85 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.85 => ! [V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EEVERY @ A_27a ) @ V0P ) @ V1l ) )
% 5.55/5.85 => ! [V2m: tp__ty_2Enum_2Enum] :
% 5.55/5.85 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V2m ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l ) ) )
% 5.55/5.85 => ( p @ ( ap @ ( ap @ ( c_2Elist_2EEVERY @ A_27a ) @ V0P ) @ ( ap @ ( ap @ ( c_2Elist_2ETAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V2m ) ) @ V1l ) ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EEVERY__DROP,axiom,
% 5.55/5.85 ! [A_27a: del,V0P: $i] :
% 5.55/5.85 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.85 => ! [V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EEVERY @ A_27a ) @ V0P ) @ V1l ) )
% 5.55/5.85 => ! [V2m: tp__ty_2Enum_2Enum] :
% 5.55/5.85 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V2m ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l ) ) )
% 5.55/5.85 => ( p @ ( ap @ ( ap @ ( c_2Elist_2EEVERY @ A_27a ) @ V0P ) @ ( ap @ ( ap @ ( c_2Elist_2EDROP @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V2m ) ) @ V1l ) ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EEXISTS__SEG,axiom,
% 5.55/5.85 ! [A_27a: del,V0m: tp__ty_2Enum_2Enum,V1k: tp__ty_2Enum_2Enum,V2l: $i] :
% 5.55/5.85 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1k ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2l ) ) )
% 5.55/5.85 => ! [V3P: $i] :
% 5.55/5.85 ( ( mem @ V3P @ ( arr @ A_27a @ bool ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EEXISTS @ A_27a ) @ V3P ) @ ( ap @ ( ap @ ( ap @ ( c_2Erich__list_2ESEG @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1k ) ) @ V2l ) ) )
% 5.55/5.85 => ( p @ ( ap @ ( ap @ ( c_2Elist_2EEXISTS @ A_27a ) @ V3P ) @ V2l ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EEXISTS__TAKE__IMP,axiom,
% 5.55/5.85 ! [A_27a: del,V0l: $i] :
% 5.55/5.85 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V1m: tp__ty_2Enum_2Enum,V2P: $i] :
% 5.55/5.85 ( ( mem @ V2P @ ( arr @ A_27a @ bool ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EEXISTS @ A_27a ) @ V2P ) @ ( ap @ ( ap @ ( c_2Elist_2ETAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ V0l ) ) )
% 5.55/5.85 => ( p @ ( ap @ ( ap @ ( c_2Elist_2EEXISTS @ A_27a ) @ V2P ) @ V0l ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EEXISTS__DROP__IMP,axiom,
% 5.55/5.85 ! [A_27a: del,V0l: $i] :
% 5.55/5.85 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V1m: tp__ty_2Enum_2Enum,V2P: $i] :
% 5.55/5.85 ( ( mem @ V2P @ ( arr @ A_27a @ bool ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EEXISTS @ A_27a ) @ V2P ) @ ( ap @ ( ap @ ( c_2Elist_2EDROP @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ V0l ) ) )
% 5.55/5.85 => ( p @ ( ap @ ( ap @ ( c_2Elist_2EEXISTS @ A_27a ) @ V2P ) @ V0l ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EEXISTS__TAKE,axiom,
% 5.55/5.85 ! [A_27a: del,V0m: tp__ty_2Enum_2Enum,V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l ) ) )
% 5.55/5.85 => ! [V2P: $i] :
% 5.55/5.85 ( ( mem @ V2P @ ( arr @ A_27a @ bool ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EEXISTS @ A_27a ) @ V2P ) @ ( ap @ ( ap @ ( c_2Elist_2ETAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ V1l ) ) )
% 5.55/5.85 => ( p @ ( ap @ ( ap @ ( c_2Elist_2EEXISTS @ A_27a ) @ V2P ) @ V1l ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EEXISTS__DROP,axiom,
% 5.55/5.85 ! [A_27a: del,V0m: tp__ty_2Enum_2Enum,V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l ) ) )
% 5.55/5.85 => ! [V2P: $i] :
% 5.55/5.85 ( ( mem @ V2P @ ( arr @ A_27a @ bool ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EEXISTS @ A_27a ) @ V2P ) @ ( ap @ ( ap @ ( c_2Elist_2EDROP @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ V1l ) ) )
% 5.55/5.85 => ( p @ ( ap @ ( ap @ ( c_2Elist_2EEXISTS @ A_27a ) @ V2P ) @ V1l ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EEXISTS__LASTN,axiom,
% 5.55/5.85 ! [A_27a: del,V0m: tp__ty_2Enum_2Enum,V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l ) ) )
% 5.55/5.85 => ! [V2P: $i] :
% 5.55/5.85 ( ( mem @ V2P @ ( arr @ A_27a @ bool ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EEXISTS @ A_27a ) @ V2P ) @ ( ap @ ( ap @ ( c_2Erich__list_2ELASTN @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ V1l ) ) )
% 5.55/5.85 => ( p @ ( ap @ ( ap @ ( c_2Elist_2EEXISTS @ A_27a ) @ V2P ) @ V1l ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EEXISTS__BUTLASTN,axiom,
% 5.55/5.85 ! [A_27a: del,V0m: tp__ty_2Enum_2Enum,V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l ) ) )
% 5.55/5.85 => ! [V2P: $i] :
% 5.55/5.85 ( ( mem @ V2P @ ( arr @ A_27a @ bool ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EEXISTS @ A_27a ) @ V2P ) @ ( ap @ ( ap @ ( c_2Erich__list_2EBUTLASTN @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ V1l ) ) )
% 5.55/5.85 => ( p @ ( ap @ ( ap @ ( c_2Elist_2EEXISTS @ A_27a ) @ V2P ) @ V1l ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EMEM__SEG,axiom,
% 5.55/5.85 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1m: tp__ty_2Enum_2Enum,V2l: $i] :
% 5.55/5.85 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2l ) ) )
% 5.55/5.85 => ! [V3x: $i] :
% 5.55/5.85 ( ( mem @ V3x @ A_27a )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ ( ap @ ( ap @ ( ap @ ( c_2Erich__list_2ESEG @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ V2l ) ) ) )
% 5.55/5.85 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V2l ) ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EMEM__TAKE__IMP,axiom,
% 5.55/5.85 ! [A_27a: del,V0l: $i] :
% 5.55/5.85 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V1m: tp__ty_2Enum_2Enum,V2x: $i] :
% 5.55/5.85 ( ( mem @ V2x @ A_27a )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ETAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ V0l ) ) ) )
% 5.55/5.85 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V0l ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EMEM__DROP__IMP,axiom,
% 5.55/5.85 ! [A_27a: del,V0l: $i] :
% 5.55/5.85 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V1m: tp__ty_2Enum_2Enum,V2x: $i] :
% 5.55/5.85 ( ( mem @ V2x @ A_27a )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EDROP @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ V0l ) ) ) )
% 5.55/5.85 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V0l ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EMEM__TAKE,axiom,
% 5.55/5.85 ! [A_27a: del,V0m: tp__ty_2Enum_2Enum,V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l ) ) )
% 5.55/5.85 => ! [V2x: $i] :
% 5.55/5.85 ( ( mem @ V2x @ A_27a )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ETAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ V1l ) ) ) )
% 5.55/5.85 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V1l ) ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EMEM__DROP,axiom,
% 5.55/5.85 ! [A_27a: del,V0m: tp__ty_2Enum_2Enum,V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l ) ) )
% 5.55/5.85 => ! [V2x: $i] :
% 5.55/5.85 ( ( mem @ V2x @ A_27a )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EDROP @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ V1l ) ) ) )
% 5.55/5.85 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V1l ) ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EMEM__BUTLASTN,axiom,
% 5.55/5.85 ! [A_27a: del,V0m: tp__ty_2Enum_2Enum,V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l ) ) )
% 5.55/5.85 => ! [V2x: $i] :
% 5.55/5.85 ( ( mem @ V2x @ A_27a )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ ( ap @ ( ap @ ( c_2Erich__list_2EBUTLASTN @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ V1l ) ) ) )
% 5.55/5.85 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V1l ) ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EMEM__LASTN,axiom,
% 5.55/5.85 ! [A_27a: del,V0m: tp__ty_2Enum_2Enum,V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l ) ) )
% 5.55/5.85 => ! [V2x: $i] :
% 5.55/5.85 ( ( mem @ V2x @ A_27a )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ ( ap @ ( ap @ ( c_2Erich__list_2ELASTN @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ V1l ) ) ) )
% 5.55/5.85 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V1l ) ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EZIP__SNOC,axiom,
% 5.55/5.85 ! [A_27a: del,A_27b: del,V0l1: $i] :
% 5.55/5.85 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V1l2: $i] :
% 5.55/5.85 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.85 => ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l1 ) )
% 5.55/5.85 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27b ) @ V1l2 ) ) )
% 5.55/5.85 => ! [V2x1: $i] :
% 5.55/5.85 ( ( mem @ V2x1 @ A_27a )
% 5.55/5.85 => ! [V3x2: $i] :
% 5.55/5.85 ( ( mem @ V3x2 @ A_27b )
% 5.55/5.85 => ( ( ap @ ( c_2Elist_2EZIP @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Elist_2ESNOC @ A_27a ) @ V2x1 ) @ V0l1 ) ) @ ( ap @ ( ap @ ( c_2Elist_2ESNOC @ A_27b ) @ V3x2 ) @ V1l2 ) ) )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ESNOC @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V2x1 ) @ V3x2 ) ) @ ( ap @ ( c_2Elist_2EZIP @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27b ) ) @ V0l1 ) @ V1l2 ) ) ) ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EUNZIP__SNOC,axiom,
% 5.55/5.85 ! [A_27a: del,A_27b: del,V0x: $i] :
% 5.55/5.85 ( ( mem @ V0x @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) )
% 5.55/5.85 => ! [V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) )
% 5.55/5.85 => ( ( ap @ ( c_2Elist_2EUNZIP @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Elist_2ESNOC @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ V0x ) @ V1l ) )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Elist_2ESNOC @ A_27a ) @ ( ap @ ( c_2Epair_2EFST @ A_27a @ A_27b ) @ V0x ) ) @ ( ap @ ( c_2Epair_2EFST @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27b ) ) @ ( ap @ ( c_2Elist_2EUNZIP @ A_27a @ A_27b ) @ V1l ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ESNOC @ A_27b ) @ ( ap @ ( c_2Epair_2ESND @ A_27a @ A_27b ) @ V0x ) ) @ ( ap @ ( c_2Epair_2ESND @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27b ) ) @ ( ap @ ( c_2Elist_2EUNZIP @ A_27a @ A_27b ) @ V1l ) ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ELENGTH__UNZIP__FST,axiom,
% 5.55/5.85 ! [A_27a: del,A_27b: del,V0l: $i] :
% 5.55/5.85 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) )
% 5.55/5.85 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ ( ap @ ( c_2Erich__list_2EUNZIP__FST @ A_27a @ A_27b ) @ V0l ) ) )
% 5.55/5.85 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ V0l ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ELENGTH__UNZIP__SND,axiom,
% 5.55/5.85 ! [A_27a: del,A_27b: del,V0l: $i] :
% 5.55/5.85 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) )
% 5.55/5.85 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27b ) @ ( ap @ ( c_2Erich__list_2EUNZIP__SND @ A_27b @ A_27a ) @ V0l ) ) )
% 5.55/5.85 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ V0l ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ESUM__REVERSE,axiom,
% 5.55/5.85 ! [V0l: tp__c_ty_2Elist_2Elist_ty_2Enum_2Enum] :
% 5.55/5.85 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Elist_2ESUM @ ( ap @ ( c_2Elist_2EREVERSE @ ty_2Enum_2Enum ) @ ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ V0l ) ) ) )
% 5.55/5.85 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Elist_2ESUM @ ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ V0l ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(stp_c_ty_2Elist_2Elist_c_ty_2Elist_2Elist_ty_2Enum_2Enum,type,
% 5.55/5.85 tp__c_ty_2Elist_2Elist_c_ty_2Elist_2Elist_ty_2Enum_2Enum: $tType ).
% 5.55/5.85
% 5.55/5.85 thf(stp_inj_c_ty_2Elist_2Elist_c_ty_2Elist_2Elist_ty_2Enum_2Enum,type,
% 5.55/5.85 inj__c_ty_2Elist_2Elist_c_ty_2Elist_2Elist_ty_2Enum_2Enum: tp__c_ty_2Elist_2Elist_c_ty_2Elist_2Elist_ty_2Enum_2Enum > $i ).
% 5.55/5.85
% 5.55/5.85 thf(stp_surj_c_ty_2Elist_2Elist_c_ty_2Elist_2Elist_ty_2Enum_2Enum,type,
% 5.55/5.85 surj__c_ty_2Elist_2Elist_c_ty_2Elist_2Elist_ty_2Enum_2Enum: $i > tp__c_ty_2Elist_2Elist_c_ty_2Elist_2Elist_ty_2Enum_2Enum ).
% 5.55/5.85
% 5.55/5.85 thf(stp_inj_surj_c_ty_2Elist_2Elist_c_ty_2Elist_2Elist_ty_2Enum_2Enum,axiom,
% 5.55/5.85 ! [X: tp__c_ty_2Elist_2Elist_c_ty_2Elist_2Elist_ty_2Enum_2Enum] :
% 5.55/5.85 ( ( surj__c_ty_2Elist_2Elist_c_ty_2Elist_2Elist_ty_2Enum_2Enum @ ( inj__c_ty_2Elist_2Elist_c_ty_2Elist_2Elist_ty_2Enum_2Enum @ X ) )
% 5.55/5.85 = X ) ).
% 5.55/5.85
% 5.55/5.85 thf(stp_inj_mem_c_ty_2Elist_2Elist_c_ty_2Elist_2Elist_ty_2Enum_2Enum,axiom,
% 5.55/5.85 ! [X: tp__c_ty_2Elist_2Elist_c_ty_2Elist_2Elist_ty_2Enum_2Enum] : ( mem @ ( inj__c_ty_2Elist_2Elist_c_ty_2Elist_2Elist_ty_2Enum_2Enum @ X ) @ ( ty_2Elist_2Elist @ ( ty_2Elist_2Elist @ ty_2Enum_2Enum ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(stp_iso_mem_c_ty_2Elist_2Elist_c_ty_2Elist_2Elist_ty_2Enum_2Enum,axiom,
% 5.55/5.85 ! [X: $i] :
% 5.55/5.85 ( ( mem @ X @ ( ty_2Elist_2Elist @ ( ty_2Elist_2Elist @ ty_2Enum_2Enum ) ) )
% 5.55/5.85 => ( X
% 5.55/5.85 = ( inj__c_ty_2Elist_2Elist_c_ty_2Elist_2Elist_ty_2Enum_2Enum @ ( surj__c_ty_2Elist_2Elist_c_ty_2Elist_2Elist_ty_2Enum_2Enum @ X ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ESUM__FLAT,axiom,
% 5.55/5.85 ! [V0l: tp__c_ty_2Elist_2Elist_c_ty_2Elist_2Elist_ty_2Enum_2Enum] :
% 5.55/5.85 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Elist_2ESUM @ ( ap @ ( c_2Elist_2EFLAT @ ty_2Enum_2Enum ) @ ( inj__c_ty_2Elist_2Elist_c_ty_2Elist_2Elist_ty_2Enum_2Enum @ V0l ) ) ) )
% 5.55/5.85 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Elist_2ESUM @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ ( ty_2Elist_2Elist @ ty_2Enum_2Enum ) @ ty_2Enum_2Enum ) @ c_2Elist_2ESUM ) @ ( inj__c_ty_2Elist_2Elist_c_ty_2Elist_2Elist_ty_2Enum_2Enum @ V0l ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EEL__APPEND1,axiom,
% 5.55/5.85 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1l1: $i] :
% 5.55/5.85 ( ( mem @ V1l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V2l2: $i] :
% 5.55/5.85 ( ( mem @ V2l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l1 ) ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V1l1 ) @ V2l2 ) )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1l1 ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EEL__APPEND2,axiom,
% 5.55/5.85 ! [A_27a: del,V0l1: $i] :
% 5.55/5.85 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V1n: tp__ty_2Enum_2Enum] :
% 5.55/5.85 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l1 ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.55/5.85 => ! [V2l2: $i] :
% 5.55/5.85 ( ( mem @ V2l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V0l1 ) @ V2l2 ) )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l1 ) ) ) @ V2l2 ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ELUPDATE__APPEND2,axiom,
% 5.55/5.85 ! [A_27a: del,V0l1: $i] :
% 5.55/5.85 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V1l2: $i] :
% 5.55/5.85 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V2n: tp__ty_2Enum_2Enum,V3x: $i] :
% 5.55/5.85 ( ( mem @ V3x @ A_27a )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l1 ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELUPDATE @ A_27a ) @ V3x ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V0l1 ) @ V1l2 ) )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V0l1 ) @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELUPDATE @ A_27a ) @ V3x ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l1 ) ) ) @ V1l2 ) ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ELUPDATE__APPEND1,axiom,
% 5.55/5.85 ! [A_27a: del,V0l1: $i] :
% 5.55/5.85 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V1l2: $i] :
% 5.55/5.85 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V2n: tp__ty_2Enum_2Enum,V3x: $i] :
% 5.55/5.85 ( ( mem @ V3x @ A_27a )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l1 ) ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELUPDATE @ A_27a ) @ V3x ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V0l1 ) @ V1l2 ) )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELUPDATE @ A_27a ) @ V3x ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ V0l1 ) ) @ V1l2 ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2Eis__prefix__el,axiom,
% 5.55/5.85 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1l1: $i] :
% 5.55/5.85 ( ( mem @ V1l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V2l2: $i] :
% 5.55/5.85 ( ( mem @ V2l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EisPREFIX @ A_27a ) @ V1l1 ) @ V2l2 ) )
% 5.55/5.85 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l1 ) ) )
% 5.55/5.85 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2l2 ) ) ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1l1 )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V2l2 ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EEL__CONS,axiom,
% 5.55/5.85 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum] :
% 5.55/5.85 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.55/5.85 => ! [V1x: $i] :
% 5.55/5.85 ( ( mem @ V1x @ A_27a )
% 5.55/5.85 => ! [V2l: $i] :
% 5.55/5.85 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1x ) @ V2l ) )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( ap @ c_2Eprim__rec_2EPRE @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ V2l ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ESEG1,axiom,
% 5.55/5.85 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l ) ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( ap @ ( c_2Erich__list_2ESEG @ A_27a ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1l )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1l ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EEL__SEG,axiom,
% 5.55/5.85 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l ) ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1l )
% 5.55/5.85 = ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( ap @ ( ap @ ( c_2Erich__list_2ESEG @ A_27a ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1l ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ESEG__CONS,axiom,
% 5.55/5.85 ! [A_27a: del,V0j: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum,V2h: $i] :
% 5.55/5.85 ( ( mem @ V2h @ A_27a )
% 5.55/5.85 => ! [V3t: $i] :
% 5.55/5.85 ( ( mem @ V3t @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0j ) ) )
% 5.55/5.85 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V0j ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V3t ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( ap @ ( c_2Erich__list_2ESEG @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V0j ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2h ) @ V3t ) )
% 5.55/5.85 = ( ap @ ( ap @ ( ap @ ( c_2Erich__list_2ESEG @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V0j ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ V3t ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ESEG__SUC__EL,axiom,
% 5.55/5.85 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1i: tp__ty_2Enum_2Enum,V2l: $i] :
% 5.55/5.85 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1i ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2l ) ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( ap @ ( c_2Erich__list_2ESEG @ A_27a ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( inj__ty_2Enum_2Enum @ V1i ) ) @ V2l )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1i ) ) @ V2l ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Erich__list_2ESEG @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1i ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ V2l ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ETAKE__SEG__DROP,axiom,
% 5.55/5.85 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1i: tp__ty_2Enum_2Enum,V2l: $i] :
% 5.55/5.85 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1i ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2l ) ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ETAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1i ) ) @ V2l ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Erich__list_2ESEG @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1i ) ) @ V2l ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2EDROP @ A_27a ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1i ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ V2l ) )
% 5.55/5.85 = V2l ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EEL__MEM,axiom,
% 5.55/5.85 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l ) ) )
% 5.55/5.85 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1l ) ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V1l ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ETL__SNOC,axiom,
% 5.55/5.85 ! [A_27a: del,V0x: $i] :
% 5.55/5.85 ( ( mem @ V0x @ A_27a )
% 5.55/5.85 => ! [V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ESNOC @ A_27a ) @ V0x ) @ V1l ) )
% 5.55/5.85 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ap @ ( c_2Elist_2ENULL @ A_27a ) @ V1l ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Elist_2ESNOC @ A_27a ) @ V0x ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V1l ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EEL__REVERSE__ELL,axiom,
% 5.55/5.85 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l ) ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ V1l ) )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Erich__list_2EELL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1l ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EELL__LENGTH__APPEND,axiom,
% 5.55/5.85 ! [A_27a: del,V0l1: $i] :
% 5.55/5.85 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V1l2: $i] :
% 5.55/5.85 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ~ ( p @ ( ap @ ( c_2Elist_2ENULL @ A_27a ) @ V0l1 ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Erich__list_2EELL @ A_27a ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l2 ) ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V0l1 ) @ V1l2 ) )
% 5.55/5.85 = ( ap @ ( c_2Elist_2ELAST @ A_27a ) @ V0l1 ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EELL__MEM,axiom,
% 5.55/5.85 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l ) ) )
% 5.55/5.85 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ ( ap @ ( ap @ ( c_2Erich__list_2EELL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1l ) ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V1l ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EELL__REVERSE,axiom,
% 5.55/5.85 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l ) ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Erich__list_2EELL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ V1l ) )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Erich__list_2EELL @ A_27a ) @ ( ap @ c_2Eprim__rec_2EPRE @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) @ V1l ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EELL__REVERSE__EL,axiom,
% 5.55/5.85 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l ) ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Erich__list_2EELL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ V1l ) )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1l ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ETAKE__BUTLASTN,axiom,
% 5.55/5.85 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l ) ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Elist_2ETAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1l )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Erich__list_2EBUTLASTN @ A_27a ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ V1l ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EBUTLASTN__TAKE,axiom,
% 5.55/5.85 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l ) ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Erich__list_2EBUTLASTN @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1l )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ETAKE @ A_27a ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ V1l ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ELASTN__DROP,axiom,
% 5.55/5.85 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l ) ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Erich__list_2ELASTN @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1l )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2EDROP @ A_27a ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ V1l ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EDROP__LASTN,axiom,
% 5.55/5.85 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l ) ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Elist_2EDROP @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1l )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Erich__list_2ELASTN @ A_27a ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ V1l ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ESEG__LASTN__BUTLASTN,axiom,
% 5.55/5.85 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1m: tp__ty_2Enum_2Enum,V2l: $i] :
% 5.55/5.85 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2l ) ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( ap @ ( c_2Erich__list_2ESEG @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ V2l )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Erich__list_2ELASTN @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( ap @ ( c_2Erich__list_2EBUTLASTN @ A_27a ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) ) @ V2l ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EDROP__REVERSE,axiom,
% 5.55/5.85 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l ) ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Elist_2EDROP @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ V1l ) )
% 5.55/5.85 = ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ ( ap @ ( ap @ ( c_2Erich__list_2EBUTLASTN @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1l ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EBUTLASTN__REVERSE,axiom,
% 5.55/5.85 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l ) ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Erich__list_2EBUTLASTN @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ V1l ) )
% 5.55/5.85 = ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EDROP @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1l ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ELASTN__REVERSE,axiom,
% 5.55/5.85 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l ) ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Erich__list_2ELASTN @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ V1l ) )
% 5.55/5.85 = ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ETAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1l ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ETAKE__REVERSE,axiom,
% 5.55/5.85 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l ) ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Elist_2ETAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ V1l ) )
% 5.55/5.85 = ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ ( ap @ ( ap @ ( c_2Erich__list_2ELASTN @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1l ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ESEG__REVERSE,axiom,
% 5.55/5.85 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1m: tp__ty_2Enum_2Enum,V2l: $i] :
% 5.55/5.85 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2l ) ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( ap @ ( c_2Erich__list_2ESEG @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ V2l ) )
% 5.55/5.85 = ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ ( ap @ ( ap @ ( ap @ ( c_2Erich__list_2ESEG @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2l ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) ) @ V2l ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ELENGTH__REPLICATE,axiom,
% 5.55/5.85 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1x: $i] :
% 5.55/5.85 ( ( mem @ V1x @ A_27a )
% 5.55/5.85 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ ( ap @ ( ap @ ( c_2Erich__list_2EREPLICATE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1x ) ) )
% 5.55/5.85 = V0n ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EMEM__REPLICATE,axiom,
% 5.55/5.85 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum] :
% 5.55/5.85 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.55/5.85 => ! [V1x: $i] :
% 5.55/5.85 ( ( mem @ V1x @ A_27a )
% 5.55/5.85 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V1x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ ( ap @ ( ap @ ( c_2Erich__list_2EREPLICATE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1x ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EAND__EL__FOLDL,axiom,
% 5.55/5.85 ! [V0l: tp__c_ty_2Elist_2Elist_o] :
% 5.55/5.85 ( ( p @ ( ap @ c_2Erich__list_2EAND__EL @ ( inj__c_ty_2Elist_2Elist_o @ V0l ) ) )
% 5.55/5.85 <=> ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDL @ bool @ bool ) @ c_2Ebool_2E_2F_5C ) @ c_2Ebool_2ET ) @ ( inj__c_ty_2Elist_2Elist_o @ V0l ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EAND__EL__FOLDR,axiom,
% 5.55/5.85 ! [V0l: tp__c_ty_2Elist_2Elist_o] :
% 5.55/5.85 ( ( p @ ( ap @ c_2Erich__list_2EAND__EL @ ( inj__c_ty_2Elist_2Elist_o @ V0l ) ) )
% 5.55/5.85 <=> ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDR @ bool @ bool ) @ c_2Ebool_2E_2F_5C ) @ c_2Ebool_2ET ) @ ( inj__c_ty_2Elist_2Elist_o @ V0l ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EOR__EL__FOLDL,axiom,
% 5.55/5.85 ! [V0l: tp__c_ty_2Elist_2Elist_o] :
% 5.55/5.85 ( ( p @ ( ap @ c_2Erich__list_2EOR__EL @ ( inj__c_ty_2Elist_2Elist_o @ V0l ) ) )
% 5.55/5.85 <=> ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDL @ bool @ bool ) @ c_2Ebool_2E_5C_2F ) @ c_2Ebool_2EF ) @ ( inj__c_ty_2Elist_2Elist_o @ V0l ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EOR__EL__FOLDR,axiom,
% 5.55/5.85 ! [V0l: tp__c_ty_2Elist_2Elist_o] :
% 5.55/5.85 ( ( p @ ( ap @ c_2Erich__list_2EOR__EL @ ( inj__c_ty_2Elist_2Elist_o @ V0l ) ) )
% 5.55/5.85 <=> ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDR @ bool @ bool ) @ c_2Ebool_2E_5C_2F ) @ c_2Ebool_2EF ) @ ( inj__c_ty_2Elist_2Elist_o @ V0l ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EIS__PREFIX__NIL,axiom,
% 5.55/5.85 ! [A_27a: del,V0x: $i] :
% 5.55/5.85 ( ( mem @ V0x @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EisPREFIX @ A_27a ) @ ( c_2Elist_2ENIL @ A_27a ) ) @ V0x ) )
% 5.55/5.85 & ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EisPREFIX @ A_27a ) @ V0x ) @ ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.85 <=> ( V0x
% 5.55/5.85 = ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EIS__PREFIX__REFL,axiom,
% 5.55/5.85 ! [A_27a: del,V0x: $i] :
% 5.55/5.85 ( ( mem @ V0x @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( p @ ( ap @ ( ap @ ( c_2Elist_2EisPREFIX @ A_27a ) @ V0x ) @ V0x ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EIS__PREFIX__ANTISYM,axiom,
% 5.55/5.85 ! [A_27a: del,V0x: $i] :
% 5.55/5.85 ( ( mem @ V0x @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V1y: $i] :
% 5.55/5.85 ( ( mem @ V1y @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EisPREFIX @ A_27a ) @ V0x ) @ V1y ) )
% 5.55/5.85 & ( p @ ( ap @ ( ap @ ( c_2Elist_2EisPREFIX @ A_27a ) @ V1y ) @ V0x ) ) )
% 5.55/5.85 => ( V0x = V1y ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EIS__PREFIX__TRANS,axiom,
% 5.55/5.85 ! [A_27a: del,V0x: $i] :
% 5.55/5.85 ( ( mem @ V0x @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V1y: $i] :
% 5.55/5.85 ( ( mem @ V1y @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V2z: $i] :
% 5.55/5.85 ( ( mem @ V2z @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EisPREFIX @ A_27a ) @ V1y ) @ V0x ) )
% 5.55/5.85 & ( p @ ( ap @ ( ap @ ( c_2Elist_2EisPREFIX @ A_27a ) @ V2z ) @ V1y ) ) )
% 5.55/5.85 => ( p @ ( ap @ ( ap @ ( c_2Elist_2EisPREFIX @ A_27a ) @ V2z ) @ V0x ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EIS__PREFIX__BUTLAST,axiom,
% 5.55/5.85 ! [A_27a: del,V0x: $i] :
% 5.55/5.85 ( ( mem @ V0x @ A_27a )
% 5.55/5.85 => ! [V1y: $i] :
% 5.55/5.85 ( ( mem @ V1y @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( p @ ( ap @ ( ap @ ( c_2Elist_2EisPREFIX @ A_27a ) @ ( ap @ ( c_2Elist_2EFRONT @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V0x ) @ V1y ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V0x ) @ V1y ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EIS__PREFIX__LENGTH,axiom,
% 5.55/5.85 ! [A_27a: del,V0x: $i] :
% 5.55/5.85 ( ( mem @ V0x @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V1y: $i] :
% 5.55/5.85 ( ( mem @ V1y @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EisPREFIX @ A_27a ) @ V0x ) @ V1y ) )
% 5.55/5.85 => ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1y ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EIS__PREFIX__LENGTH__ANTI,axiom,
% 5.55/5.85 ! [A_27a: del,V0x: $i] :
% 5.55/5.85 ( ( mem @ V0x @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V1y: $i] :
% 5.55/5.85 ( ( mem @ V1y @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EisPREFIX @ A_27a ) @ V0x ) @ V1y ) )
% 5.55/5.85 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0x ) )
% 5.55/5.85 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1y ) ) ) )
% 5.55/5.85 <=> ( V0x = V1y ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EIS__PREFIX__SNOC,axiom,
% 5.55/5.85 ! [A_27a: del,V0x: $i] :
% 5.55/5.85 ( ( mem @ V0x @ A_27a )
% 5.55/5.85 => ! [V1y: $i] :
% 5.55/5.85 ( ( mem @ V1y @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V2z: $i] :
% 5.55/5.85 ( ( mem @ V2z @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EisPREFIX @ A_27a ) @ V2z ) @ ( ap @ ( ap @ ( c_2Elist_2ESNOC @ A_27a ) @ V0x ) @ V1y ) ) )
% 5.55/5.85 <=> ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EisPREFIX @ A_27a ) @ V2z ) @ V1y ) )
% 5.55/5.85 | ( V2z
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ESNOC @ A_27a ) @ V0x ) @ V1y ) ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EIS__PREFIX__APPEND1,axiom,
% 5.55/5.85 ! [A_27a: del,V0a: $i] :
% 5.55/5.85 ( ( mem @ V0a @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V1b: $i] :
% 5.55/5.85 ( ( mem @ V1b @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V2c: $i] :
% 5.55/5.85 ( ( mem @ V2c @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EisPREFIX @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V0a ) @ V1b ) ) @ V2c ) )
% 5.55/5.85 => ( p @ ( ap @ ( ap @ ( c_2Elist_2EisPREFIX @ A_27a ) @ V0a ) @ V2c ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EIS__PREFIX__APPEND2,axiom,
% 5.55/5.85 ! [A_27a: del,V0a: $i] :
% 5.55/5.85 ( ( mem @ V0a @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V1b: $i] :
% 5.55/5.85 ( ( mem @ V1b @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V2c: $i] :
% 5.55/5.85 ( ( mem @ V2c @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EisPREFIX @ A_27a ) @ V0a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V1b ) @ V2c ) ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EisPREFIX @ A_27a ) @ V0a ) @ V1b ) )
% 5.55/5.85 | ( p @ ( ap @ ( ap @ ( c_2Elist_2EisPREFIX @ A_27a ) @ V1b ) @ V0a ) ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EIS__PREFIX__APPENDS,axiom,
% 5.55/5.85 ! [A_27a: del,V0a: $i] :
% 5.55/5.85 ( ( mem @ V0a @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V1b: $i] :
% 5.55/5.85 ( ( mem @ V1b @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V2c: $i] :
% 5.55/5.85 ( ( mem @ V2c @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EisPREFIX @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V0a ) @ V1b ) ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V0a ) @ V2c ) ) )
% 5.55/5.85 <=> ( p @ ( ap @ ( ap @ ( c_2Elist_2EisPREFIX @ A_27a ) @ V1b ) @ V2c ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EIS__PREFIX__APPEND3,axiom,
% 5.55/5.85 ! [A_27a: del,V0c: $i] :
% 5.55/5.85 ( ( mem @ V0c @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V1a: $i] :
% 5.55/5.85 ( ( mem @ V1a @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( p @ ( ap @ ( ap @ ( c_2Elist_2EisPREFIX @ A_27a ) @ V1a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V1a ) @ V0c ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2Eprefixes__is__prefix__total,axiom,
% 5.55/5.85 ! [A_27a: del,V0l: $i] :
% 5.55/5.85 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V1l1: $i] :
% 5.55/5.85 ( ( mem @ V1l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V2l2: $i] :
% 5.55/5.85 ( ( mem @ V2l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EisPREFIX @ A_27a ) @ V1l1 ) @ V0l ) )
% 5.55/5.85 & ( p @ ( ap @ ( ap @ ( c_2Elist_2EisPREFIX @ A_27a ) @ V2l2 ) @ V0l ) ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EisPREFIX @ A_27a ) @ V1l1 ) @ V2l2 ) )
% 5.55/5.85 | ( p @ ( ap @ ( ap @ ( c_2Elist_2EisPREFIX @ A_27a ) @ V2l2 ) @ V1l1 ) ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(ax_thm_2Erich__list_2Ecommon__prefixes__def,axiom,
% 5.55/5.85 ! [A_27a: del,V0s: $i] :
% 5.55/5.85 ( ( mem @ V0s @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ bool ) )
% 5.55/5.85 => ( ( ap @ ( c_2Erich__list_2Ecommon__prefixes @ A_27a ) @ V0s )
% 5.55/5.85 = ( ap @ ( c_2Epred__set_2EGSPEC @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 @ ( lam @ ( ty_2Elist_2Elist @ A_27a )
% 5.55/5.85 @ ^ [V1p: $i] :
% 5.55/5.85 ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ bool ) @ V1p )
% 5.55/5.85 @ ( ap @ ( c_2Ebool_2E_21 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 @ ( lam @ ( ty_2Elist_2Elist @ A_27a )
% 5.55/5.85 @ ^ [V2m: $i] : ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Elist_2Elist @ A_27a ) ) @ V2m ) @ V0s ) ) @ ( ap @ ( ap @ ( c_2Elist_2EisPREFIX @ A_27a ) @ V1p ) @ V2m ) ) ) ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2Ecommon__prefixes__BIGINTER,axiom,
% 5.55/5.85 ! [A_27a: del,V0s: $i] :
% 5.55/5.85 ( ( mem @ V0s @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ bool ) )
% 5.55/5.85 => ( ( ap @ ( c_2Erich__list_2Ecommon__prefixes @ A_27a ) @ V0s )
% 5.55/5.85 = ( ap @ ( c_2Epred__set_2EBIGINTER @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 @ ( ap
% 5.55/5.85 @ ( ap @ ( c_2Epred__set_2EIMAGE @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ bool ) )
% 5.55/5.85 @ ( lam @ ( ty_2Elist_2Elist @ A_27a )
% 5.55/5.85 @ ^ [V1l: $i] :
% 5.55/5.85 ( ap @ ( c_2Epred__set_2EGSPEC @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 @ ( lam @ ( ty_2Elist_2Elist @ A_27a )
% 5.55/5.85 @ ^ [V2p: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ bool ) @ V2p ) @ ( ap @ ( ap @ ( c_2Elist_2EisPREFIX @ A_27a ) @ V2p ) @ V1l ) ) ) ) ) )
% 5.55/5.85 @ V0s ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EFINITE__prefix,axiom,
% 5.55/5.85 ! [A_27a: del,V0b: $i] :
% 5.55/5.85 ( ( mem @ V0b @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( p
% 5.55/5.85 @ ( ap @ ( c_2Epred__set_2EFINITE @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 @ ( ap @ ( c_2Epred__set_2EGSPEC @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 @ ( lam @ ( ty_2Elist_2Elist @ A_27a )
% 5.55/5.85 @ ^ [V1a: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ bool ) @ V1a ) @ ( ap @ ( ap @ ( c_2Elist_2EisPREFIX @ A_27a ) @ V1a ) @ V0b ) ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EFINITE__common__prefixes,axiom,
% 5.55/5.85 ! [A_27a: del,V0s: $i] :
% 5.55/5.85 ( ( mem @ V0s @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ bool ) )
% 5.55/5.85 => ( ( V0s
% 5.55/5.85 != ( c_2Epred__set_2EEMPTY @ ( ty_2Elist_2Elist @ A_27a ) ) )
% 5.55/5.85 => ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ap @ ( c_2Erich__list_2Ecommon__prefixes @ A_27a ) @ V0s ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2Ecommon__prefixes__NONEMPTY,axiom,
% 5.55/5.85 ! [A_27a: del,V0s: $i] :
% 5.55/5.85 ( ( mem @ V0s @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ bool ) )
% 5.55/5.85 => ( ( ap @ ( c_2Erich__list_2Ecommon__prefixes @ A_27a ) @ V0s )
% 5.55/5.85 != ( c_2Epred__set_2EEMPTY @ ( ty_2Elist_2Elist @ A_27a ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(ax_thm_2Erich__list_2Elongest__prefix__def,axiom,
% 5.55/5.85 ! [A_27a: del,V0s: $i] :
% 5.55/5.85 ( ( mem @ V0s @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ bool ) )
% 5.55/5.85 => ( ( ap @ ( c_2Erich__list_2Elongest__prefix @ A_27a ) @ V0s )
% 5.55/5.85 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ bool ) ) @ V0s ) @ ( c_2Epred__set_2EEMPTY @ ( ty_2Elist_2Elist @ A_27a ) ) ) ) @ ( c_2Elist_2ENIL @ A_27a ) )
% 5.55/5.85 @ ( ap @ ( c_2Emin_2E_40 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 @ ( lam @ ( ty_2Elist_2Elist @ A_27a )
% 5.55/5.85 @ ^ [V1x: $i] : ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2Eis__measure__maximal @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( c_2Elist_2ELENGTH @ A_27a ) ) @ ( ap @ ( c_2Erich__list_2Ecommon__prefixes @ A_27a ) @ V0s ) ) @ V1x ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2Etwo__common__prefixes,axiom,
% 5.55/5.85 ! [A_27a: del,V0s: $i] :
% 5.55/5.85 ( ( mem @ V0s @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ bool ) )
% 5.55/5.85 => ! [V1p1: $i] :
% 5.55/5.85 ( ( mem @ V1p1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V2p2: $i] :
% 5.55/5.85 ( ( mem @ V2p2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ( V0s
% 5.55/5.85 != ( c_2Epred__set_2EEMPTY @ ( ty_2Elist_2Elist @ A_27a ) ) )
% 5.55/5.85 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Elist_2Elist @ A_27a ) ) @ V1p1 ) @ ( ap @ ( c_2Erich__list_2Ecommon__prefixes @ A_27a ) @ V0s ) ) )
% 5.55/5.85 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Elist_2Elist @ A_27a ) ) @ V2p2 ) @ ( ap @ ( c_2Erich__list_2Ecommon__prefixes @ A_27a ) @ V0s ) ) ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EisPREFIX @ A_27a ) @ V1p1 ) @ V2p2 ) )
% 5.55/5.85 | ( p @ ( ap @ ( ap @ ( c_2Elist_2EisPREFIX @ A_27a ) @ V2p2 ) @ V1p1 ) ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2Elongest__prefix__UNIQUE,axiom,
% 5.55/5.85 ! [A_27a: del,V0s: $i] :
% 5.55/5.85 ( ( mem @ V0s @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ bool ) )
% 5.55/5.85 => ! [V1x: $i] :
% 5.55/5.85 ( ( mem @ V1x @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V2y: $i] :
% 5.55/5.85 ( ( mem @ V2y @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ( V0s
% 5.55/5.85 != ( c_2Epred__set_2EEMPTY @ ( ty_2Elist_2Elist @ A_27a ) ) )
% 5.55/5.85 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2Eis__measure__maximal @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( c_2Elist_2ELENGTH @ A_27a ) ) @ ( ap @ ( c_2Erich__list_2Ecommon__prefixes @ A_27a ) @ V0s ) ) @ V1x ) )
% 5.55/5.85 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2Eis__measure__maximal @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( c_2Elist_2ELENGTH @ A_27a ) ) @ ( ap @ ( c_2Erich__list_2Ecommon__prefixes @ A_27a ) @ V0s ) ) @ V2y ) ) )
% 5.55/5.85 => ( V1x = V2y ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2Ecommon__prefixes__NIL,axiom,
% 5.55/5.85 ! [A_27a: del,V0s: $i] :
% 5.55/5.85 ( ( mem @ V0s @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ bool ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) @ V0s ) )
% 5.55/5.85 => ( ( ap @ ( c_2Erich__list_2Ecommon__prefixes @ A_27a ) @ V0s )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) @ ( c_2Epred__set_2EEMPTY @ ( ty_2Elist_2Elist @ A_27a ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2Elongest__prefix__NIL,axiom,
% 5.55/5.85 ! [A_27a: del,V0s: $i] :
% 5.55/5.85 ( ( mem @ V0s @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ bool ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) @ V0s ) )
% 5.55/5.85 => ( ( ap @ ( c_2Erich__list_2Elongest__prefix @ A_27a ) @ V0s )
% 5.55/5.85 = ( c_2Elist_2ENIL @ A_27a ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ENIL__IN__common__prefixes,axiom,
% 5.55/5.85 ! [A_27a: del,V0s: $i] :
% 5.55/5.85 ( ( mem @ V0s @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ bool ) )
% 5.55/5.85 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) @ ( ap @ ( c_2Erich__list_2Ecommon__prefixes @ A_27a ) @ V0s ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2Elongest__prefix__EMPTY,axiom,
% 5.55/5.85 ! [A_27a: del] :
% 5.55/5.85 ( ( ap @ ( c_2Erich__list_2Elongest__prefix @ A_27a ) @ ( c_2Epred__set_2EEMPTY @ ( ty_2Elist_2Elist @ A_27a ) ) )
% 5.55/5.85 = ( c_2Elist_2ENIL @ A_27a ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2Elongest__prefix__SING,axiom,
% 5.55/5.85 ! [A_27a: del,V0s: $i] :
% 5.55/5.85 ( ( mem @ V0s @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( c_2Erich__list_2Elongest__prefix @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ ( ty_2Elist_2Elist @ A_27a ) ) @ V0s ) @ ( c_2Epred__set_2EEMPTY @ ( ty_2Elist_2Elist @ A_27a ) ) ) )
% 5.55/5.85 = V0s ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2Ecommon__prefixes__PAIR,axiom,
% 5.55/5.85 ! [A_27a: del,A_27b: del,V0x: $i] :
% 5.55/5.85 ( ( mem @ V0x @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V1a: $i] :
% 5.55/5.85 ( ( mem @ V1a @ A_27b )
% 5.55/5.85 => ! [V2xs: $i] :
% 5.55/5.85 ( ( mem @ V2xs @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.85 => ! [V3b: $i] :
% 5.55/5.85 ( ( mem @ V3b @ A_27b )
% 5.55/5.85 => ! [V4ys: $i] :
% 5.55/5.85 ( ( mem @ V4ys @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.85 => ( ( ( ap @ ( c_2Erich__list_2Ecommon__prefixes @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ ( ty_2Elist_2Elist @ A_27a ) ) @ V0x ) @ ( c_2Epred__set_2EEMPTY @ ( ty_2Elist_2Elist @ A_27a ) ) ) ) )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) @ ( c_2Epred__set_2EEMPTY @ ( ty_2Elist_2Elist @ A_27a ) ) ) )
% 5.55/5.85 & ( ( ap @ ( c_2Erich__list_2Ecommon__prefixes @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ ( ty_2Elist_2Elist @ A_27a ) ) @ V0x ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) @ ( c_2Epred__set_2EEMPTY @ ( ty_2Elist_2Elist @ A_27a ) ) ) ) )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) @ ( c_2Epred__set_2EEMPTY @ ( ty_2Elist_2Elist @ A_27a ) ) ) )
% 5.55/5.85 & ( ( ap @ ( c_2Erich__list_2Ecommon__prefixes @ A_27b ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ ( ty_2Elist_2Elist @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27b ) @ V1a ) @ V2xs ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ ( ty_2Elist_2Elist @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27b ) @ V3b ) @ V4ys ) ) @ ( c_2Epred__set_2EEMPTY @ ( ty_2Elist_2Elist @ A_27b ) ) ) ) )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ ( ty_2Elist_2Elist @ A_27b ) ) @ ( c_2Elist_2ENIL @ A_27b ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( arr @ ( ty_2Elist_2Elist @ A_27b ) @ bool ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27b ) @ V1a ) @ V3b ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ ( ty_2Elist_2Elist @ A_27b ) @ ( ty_2Elist_2Elist @ A_27b ) ) @ ( ap @ ( c_2Elist_2ECONS @ A_27b ) @ V1a ) ) @ ( ap @ ( c_2Erich__list_2Ecommon__prefixes @ A_27b ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ ( ty_2Elist_2Elist @ A_27b ) ) @ V2xs ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ ( ty_2Elist_2Elist @ A_27b ) ) @ V4ys ) @ ( c_2Epred__set_2EEMPTY @ ( ty_2Elist_2Elist @ A_27b ) ) ) ) ) ) ) @ ( c_2Epred__set_2EEMPTY @ ( ty_2Elist_2Elist @ A_27b ) ) ) ) ) ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2Elongest__prefix__PAIR,axiom,
% 5.55/5.85 ! [A_27a: del,V0ys: $i] :
% 5.55/5.85 ( ( mem @ V0ys @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V1xs: $i] :
% 5.55/5.85 ( ( mem @ V1xs @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V2x: $i] :
% 5.55/5.85 ( ( mem @ V2x @ A_27a )
% 5.55/5.85 => ! [V3y: $i] :
% 5.55/5.85 ( ( mem @ V3y @ A_27a )
% 5.55/5.85 => ( ( ( ap @ ( c_2Erich__list_2Elongest__prefix @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ ( ty_2Elist_2Elist @ A_27a ) ) @ V0ys ) @ ( c_2Epred__set_2EEMPTY @ ( ty_2Elist_2Elist @ A_27a ) ) ) ) )
% 5.55/5.85 = ( c_2Elist_2ENIL @ A_27a ) )
% 5.55/5.85 & ( ( ap @ ( c_2Erich__list_2Elongest__prefix @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ ( ty_2Elist_2Elist @ A_27a ) ) @ V1xs ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) @ ( c_2Epred__set_2EEMPTY @ ( ty_2Elist_2Elist @ A_27a ) ) ) ) )
% 5.55/5.85 = ( c_2Elist_2ENIL @ A_27a ) )
% 5.55/5.85 & ( ( ap @ ( c_2Erich__list_2Elongest__prefix @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2x ) @ V1xs ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3y ) @ V0ys ) ) @ ( c_2Epred__set_2EEMPTY @ ( ty_2Elist_2Elist @ A_27a ) ) ) ) )
% 5.55/5.85 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V2x ) @ V3y ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2x ) @ ( ap @ ( c_2Erich__list_2Elongest__prefix @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ ( ty_2Elist_2Elist @ A_27a ) ) @ V1xs ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ ( ty_2Elist_2Elist @ A_27a ) ) @ V0ys ) @ ( c_2Epred__set_2EEMPTY @ ( ty_2Elist_2Elist @ A_27a ) ) ) ) ) ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ECOUNT__LIST__GENLIST,axiom,
% 5.55/5.85 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.55/5.85 ( ( surj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ ( ap @ c_2Erich__list_2ECOUNT__LIST @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.55/5.85 = ( surj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ ( ap @ ( ap @ ( c_2Elist_2EGENLIST @ ty_2Enum_2Enum ) @ ( c_2Ecombin_2EI @ ty_2Enum_2Enum ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ELENGTH__COUNT__LIST,axiom,
% 5.55/5.85 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.55/5.85 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ ty_2Enum_2Enum ) @ ( ap @ c_2Erich__list_2ECOUNT__LIST @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) )
% 5.55/5.85 = V0n ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EEL__COUNT__LIST,axiom,
% 5.55/5.85 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.55/5.85 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.55/5.85 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( c_2Elist_2EEL @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( ap @ c_2Erich__list_2ECOUNT__LIST @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.55/5.85 = V0m ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EMEM__COUNT__LIST,axiom,
% 5.55/5.85 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.55/5.85 ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ ty_2Enum_2Enum ) @ ( ap @ c_2Erich__list_2ECOUNT__LIST @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) )
% 5.55/5.85 <=> ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ECOUNT__LIST__SNOC,axiom,
% 5.55/5.85 ( ( ( surj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ ( ap @ c_2Erich__list_2ECOUNT__LIST @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.55/5.85 = ( surj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ ( c_2Elist_2ENIL @ ty_2Enum_2Enum ) ) )
% 5.55/5.85 & ! [V0n: tp__ty_2Enum_2Enum] :
% 5.55/5.85 ( ( surj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ ( ap @ c_2Erich__list_2ECOUNT__LIST @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) )
% 5.55/5.85 = ( surj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ ( ap @ ( ap @ ( c_2Elist_2ESNOC @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ c_2Erich__list_2ECOUNT__LIST @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ECOUNT__LIST__COUNT,axiom,
% 5.55/5.85 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.55/5.85 ( ( ap @ ( c_2Elist_2ELIST__TO__SET @ ty_2Enum_2Enum ) @ ( ap @ c_2Erich__list_2ECOUNT__LIST @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.55/5.85 = ( ap @ c_2Epred__set_2Ecount @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ECOUNT__LIST__ADD,axiom,
% 5.55/5.85 ! [V0n: tp__ty_2Enum_2Enum,V1m: tp__ty_2Enum_2Enum] :
% 5.55/5.85 ( ( surj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ ( ap @ c_2Erich__list_2ECOUNT__LIST @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) )
% 5.55/5.85 = ( surj__c_ty_2Elist_2Elist_ty_2Enum_2Enum
% 5.55/5.85 @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ ty_2Enum_2Enum ) @ ( ap @ c_2Erich__list_2ECOUNT__LIST @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.55/5.85 @ ( ap
% 5.55/5.85 @ ( ap @ ( c_2Elist_2EMAP @ ty_2Enum_2Enum @ ty_2Enum_2Enum )
% 5.55/5.85 @ ( lam @ ty_2Enum_2Enum
% 5.55/5.85 @ ^ [V2n_27: $i] : ( ap @ ( ap @ c_2Earithmetic_2E_2B @ V2n_27 ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) )
% 5.55/5.85 @ ( ap @ c_2Erich__list_2ECOUNT__LIST @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EEL__DROP,axiom,
% 5.55/5.85 ! [A_27a: del,V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum,V2l: $i] :
% 5.55/5.85 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2l ) ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( ap @ ( ap @ ( c_2Elist_2EDROP @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ V2l ) )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ V2l ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ESNOC__EL__TAKE,axiom,
% 5.55/5.85 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l ) ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Elist_2ESNOC @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1l ) ) @ ( ap @ ( ap @ ( c_2Elist_2ETAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1l ) )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ETAKE @ A_27a ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ V1l ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EZIP__TAKE__LEQ,axiom,
% 5.55/5.85 ! [A_27a: del,A_27b: del,V0n: tp__ty_2Enum_2Enum,V1a: $i] :
% 5.55/5.85 ( ( mem @ V1a @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V2b: $i] :
% 5.55/5.85 ( ( mem @ V2b @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.85 => ( ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1a ) ) )
% 5.55/5.85 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1a ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27b ) @ V2b ) ) ) )
% 5.55/5.85 => ( ( ap @ ( c_2Elist_2EZIP @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Elist_2ETAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1a ) ) @ ( ap @ ( ap @ ( c_2Elist_2ETAKE @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V2b ) ) )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ETAKE @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( c_2Elist_2EZIP @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27b ) ) @ V1a ) @ ( ap @ ( ap @ ( c_2Elist_2ETAKE @ A_27b ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1a ) ) @ V2b ) ) ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EZIP__TAKE,axiom,
% 5.55/5.85 ! [A_27a: del,A_27b: del,V0n: tp__ty_2Enum_2Enum,V1a: $i] :
% 5.55/5.85 ( ( mem @ V1a @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V2b: $i] :
% 5.55/5.85 ( ( mem @ V2b @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.85 => ( ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1a ) ) )
% 5.55/5.85 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1a ) )
% 5.55/5.85 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27b ) @ V2b ) ) ) )
% 5.55/5.85 => ( ( ap @ ( c_2Elist_2EZIP @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Elist_2ETAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1a ) ) @ ( ap @ ( ap @ ( c_2Elist_2ETAKE @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V2b ) ) )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ETAKE @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( c_2Elist_2EZIP @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27b ) ) @ V1a ) @ V2b ) ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EEL__TAKE,axiom,
% 5.55/5.85 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1x: tp__ty_2Enum_2Enum,V2l: $i] :
% 5.55/5.85 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( ap @ ( c_2Elist_2ETAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V2l ) )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ V2l ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EZIP__APPEND,axiom,
% 5.55/5.85 ! [A_27a: del,A_27b: del,V0a: $i] :
% 5.55/5.85 ( ( mem @ V0a @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V1b: $i] :
% 5.55/5.85 ( ( mem @ V1b @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.85 => ! [V2c: $i] :
% 5.55/5.85 ( ( mem @ V2c @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V3d: $i] :
% 5.55/5.85 ( ( mem @ V3d @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.85 => ( ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0a ) )
% 5.55/5.85 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27b ) @ V1b ) ) )
% 5.55/5.85 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2c ) )
% 5.55/5.85 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27b ) @ V3d ) ) ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( ap @ ( c_2Elist_2EZIP @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27b ) ) @ V0a ) @ V1b ) ) ) @ ( ap @ ( c_2Elist_2EZIP @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27b ) ) @ V2c ) @ V3d ) ) )
% 5.55/5.85 = ( ap @ ( c_2Elist_2EZIP @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V0a ) @ V2c ) ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27b ) @ V1b ) @ V3d ) ) ) ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EAPPEND__ASSOC__CONS,axiom,
% 5.55/5.85 ! [A_27a: del,V0l1: $i] :
% 5.55/5.85 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V1h: $i] :
% 5.55/5.85 ( ( mem @ V1h @ A_27a )
% 5.55/5.85 => ! [V2l2: $i] :
% 5.55/5.85 ( ( mem @ V2l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V3l3: $i] :
% 5.55/5.85 ( ( mem @ V3l3 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V0l1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1h ) @ V2l2 ) ) ) @ V3l3 )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V0l1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1h ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V2l2 ) @ V3l3 ) ) ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EAPPEND__SNOC1,axiom,
% 5.55/5.85 ! [A_27a: del,V0l1: $i] :
% 5.55/5.85 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V1x: $i] :
% 5.55/5.85 ( ( mem @ V1x @ A_27a )
% 5.55/5.85 => ! [V2l2: $i] :
% 5.55/5.85 ( ( mem @ V2l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ESNOC @ A_27a ) @ V1x ) @ V0l1 ) ) @ V2l2 )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V0l1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1x ) @ V2l2 ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EFOLDL__MAP2,axiom,
% 5.55/5.85 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.55/5.85 ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27b @ A_27a ) ) )
% 5.55/5.85 => ! [V1e: $i] :
% 5.55/5.85 ( ( mem @ V1e @ A_27a )
% 5.55/5.85 => ! [V2g: $i] :
% 5.55/5.85 ( ( mem @ V2g @ ( arr @ A_27c @ A_27b ) )
% 5.55/5.85 => ! [V3l: $i] :
% 5.55/5.85 ( ( mem @ V3l @ ( ty_2Elist_2Elist @ A_27c ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDL @ A_27b @ A_27a ) @ V0f ) @ V1e ) @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27c @ A_27b ) @ V2g ) @ V3l ) )
% 5.55/5.85 = ( ap
% 5.55/5.85 @ ( ap
% 5.55/5.85 @ ( ap @ ( c_2Elist_2EFOLDL @ A_27c @ A_27a )
% 5.55/5.85 @ ( lam @ A_27a
% 5.55/5.85 @ ^ [V4x: $i] :
% 5.55/5.85 ( lam @ A_27c
% 5.55/5.85 @ ^ [V5y: $i] : ( ap @ ( ap @ V0f @ V4x ) @ ( ap @ V2g @ V5y ) ) ) ) )
% 5.55/5.85 @ V1e )
% 5.55/5.85 @ V3l ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ESPLITP__EVERY,axiom,
% 5.55/5.85 ! [A_27a: del,V0P: $i] :
% 5.55/5.85 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.85 => ! [V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p
% 5.55/5.85 @ ( ap
% 5.55/5.85 @ ( ap @ ( c_2Elist_2EEVERY @ A_27a )
% 5.55/5.85 @ ( lam @ A_27a
% 5.55/5.85 @ ^ [V2x: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0P @ V2x ) ) ) )
% 5.55/5.85 @ V1l ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Erich__list_2ESPLITP @ A_27a ) @ V0P ) @ V1l )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) @ V1l ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EMEM__FRONT,axiom,
% 5.55/5.85 ! [A_27a: del,V0l: $i] :
% 5.55/5.85 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V1e: $i] :
% 5.55/5.85 ( ( mem @ V1e @ A_27a )
% 5.55/5.85 => ! [V2y: $i] :
% 5.55/5.85 ( ( mem @ V2y @ A_27a )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2y ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ ( ap @ ( c_2Elist_2EFRONT @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1e ) @ V0l ) ) ) ) )
% 5.55/5.85 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2y ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1e ) @ V0l ) ) ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EFRONT__APPEND,axiom,
% 5.55/5.85 ! [A_27a: del,V0l1: $i] :
% 5.55/5.85 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V1l2: $i] :
% 5.55/5.85 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V2e: $i] :
% 5.55/5.85 ( ( mem @ V2e @ A_27a )
% 5.55/5.85 => ( ( ap @ ( c_2Elist_2EFRONT @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V0l1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2e ) @ V1l2 ) ) )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V0l1 ) @ ( ap @ ( c_2Elist_2EFRONT @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2e ) @ V1l2 ) ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EEL__FRONT,axiom,
% 5.55/5.85 ! [A_27a: del,V0l: $i] :
% 5.55/5.85 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V1n: tp__ty_2Enum_2Enum] :
% 5.55/5.85 ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ ( ap @ ( c_2Elist_2EFRONT @ A_27a ) @ V0l ) ) ) )
% 5.55/5.85 & ~ ( p @ ( ap @ ( c_2Elist_2ENULL @ A_27a ) @ V0l ) ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ ( c_2Elist_2EFRONT @ A_27a ) @ V0l ) )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ V0l ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EMEM__LAST,axiom,
% 5.55/5.85 ! [A_27a: del,V0e: $i] :
% 5.55/5.85 ( ( mem @ V0e @ A_27a )
% 5.55/5.85 => ! [V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ ( ap @ ( c_2Elist_2ELAST @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V0e ) @ V1l ) ) ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V0e ) @ V1l ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EDROP__CONS__EL,axiom,
% 5.55/5.85 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l ) ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Elist_2EDROP @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1l )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1l ) ) @ ( ap @ ( ap @ ( c_2Elist_2EDROP @ A_27a ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ V1l ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EMEM__LAST__FRONT,axiom,
% 5.55/5.85 ! [A_27a: del,V0e: $i] :
% 5.55/5.85 ( ( mem @ V0e @ A_27a )
% 5.55/5.85 => ! [V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V2h: $i] :
% 5.55/5.85 ( ( mem @ V2h @ A_27a )
% 5.55/5.85 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0e ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V1l ) ) )
% 5.55/5.85 & ( V0e
% 5.55/5.85 != ( ap @ ( c_2Elist_2ELAST @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2h ) @ V1l ) ) ) )
% 5.55/5.85 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0e ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ ( ap @ ( c_2Elist_2EFRONT @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2h ) @ V1l ) ) ) ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ELIST__ELEM__COUNT__THM,axiom,
% 5.55/5.85 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del] :
% 5.55/5.85 ( ! [V0e: $i] :
% 5.55/5.85 ( ( mem @ V0e @ A_27a )
% 5.55/5.85 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( c_2Erich__list_2ELIST__ELEM__COUNT @ A_27a ) @ V0e ) @ ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.85 = fo__c_2Enum_2E0 ) )
% 5.55/5.85 & ! [V1e: $i] :
% 5.55/5.85 ( ( mem @ V1e @ A_27b )
% 5.55/5.85 => ! [V2l1: $i] :
% 5.55/5.85 ( ( mem @ V2l1 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.85 => ! [V3l2: $i] :
% 5.55/5.85 ( ( mem @ V3l2 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.85 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( c_2Erich__list_2ELIST__ELEM__COUNT @ A_27b ) @ V1e ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27b ) @ V2l1 ) @ V3l2 ) ) )
% 5.55/5.85 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ ( c_2Erich__list_2ELIST__ELEM__COUNT @ A_27b ) @ V1e ) @ V2l1 ) ) @ ( ap @ ( ap @ ( c_2Erich__list_2ELIST__ELEM__COUNT @ A_27b ) @ V1e ) @ V3l2 ) ) ) ) ) ) )
% 5.55/5.85 & ! [V4e: $i] :
% 5.55/5.85 ( ( mem @ V4e @ A_27c )
% 5.55/5.85 => ! [V5h: $i] :
% 5.55/5.85 ( ( mem @ V5h @ A_27c )
% 5.55/5.85 => ! [V6l: $i] :
% 5.55/5.85 ( ( mem @ V6l @ ( ty_2Elist_2Elist @ A_27c ) )
% 5.55/5.85 => ( ( V5h = V4e )
% 5.55/5.85 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( c_2Erich__list_2ELIST__ELEM__COUNT @ A_27c ) @ V4e ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27c ) @ V5h ) @ V6l ) ) )
% 5.55/5.85 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enum_2ESUC @ ( ap @ ( ap @ ( c_2Erich__list_2ELIST__ELEM__COUNT @ A_27c ) @ V4e ) @ V6l ) ) ) ) ) ) ) )
% 5.55/5.85 & ! [V7e: $i] :
% 5.55/5.85 ( ( mem @ V7e @ A_27d )
% 5.55/5.85 => ! [V8h: $i] :
% 5.55/5.85 ( ( mem @ V8h @ A_27d )
% 5.55/5.85 => ! [V9l: $i] :
% 5.55/5.85 ( ( mem @ V9l @ ( ty_2Elist_2Elist @ A_27d ) )
% 5.55/5.85 => ( ( V8h != V7e )
% 5.55/5.85 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( c_2Erich__list_2ELIST__ELEM__COUNT @ A_27d ) @ V7e ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27d ) @ V8h ) @ V9l ) ) )
% 5.55/5.85 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( c_2Erich__list_2ELIST__ELEM__COUNT @ A_27d ) @ V7e ) @ V9l ) ) ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ELIST__ELEM__COUNT__MEM,axiom,
% 5.55/5.85 ! [A_27a: del,V0e: $i] :
% 5.55/5.85 ( ( mem @ V0e @ A_27a )
% 5.55/5.85 => ! [V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ ( ap @ ( c_2Erich__list_2ELIST__ELEM__COUNT @ A_27a ) @ V0e ) @ V1l ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.55/5.85 <=> ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0e ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V1l ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ELIST__TO__SET__EQ__SING,axiom,
% 5.55/5.85 ! [A_27a: del,V0x: $i] :
% 5.55/5.85 ( ( mem @ V0x @ A_27a )
% 5.55/5.85 => ! [V1ls: $i] :
% 5.55/5.85 ( ( mem @ V1ls @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V1ls )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V0x ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) )
% 5.55/5.85 <=> ( ( V1ls
% 5.55/5.85 != ( c_2Elist_2ENIL @ A_27a ) )
% 5.55/5.85 & ( p @ ( ap @ ( ap @ ( c_2Elist_2EEVERY @ A_27a ) @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V0x ) ) @ V1ls ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EREPLICATE__GENLIST,axiom,
% 5.55/5.85 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1x: $i] :
% 5.55/5.85 ( ( mem @ V1x @ A_27a )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Erich__list_2EREPLICATE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1x )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2EGENLIST @ A_27a ) @ ( ap @ ( c_2Ecombin_2EK @ A_27a @ ty_2Enum_2Enum ) @ V1x ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EEL__REPLICATE,axiom,
% 5.55/5.85 ! [A_27a: del,V0n1: tp__ty_2Enum_2Enum,V1n2: tp__ty_2Enum_2Enum,V2x: $i] :
% 5.55/5.85 ( ( mem @ V2x @ A_27a )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0n1 ) ) @ ( inj__ty_2Enum_2Enum @ V1n2 ) ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n1 ) ) @ ( ap @ ( ap @ ( c_2Erich__list_2EREPLICATE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1n2 ) ) @ V2x ) )
% 5.55/5.85 = V2x ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EEVERY__REPLICATE,axiom,
% 5.55/5.85 ! [A_27a: del,V0f: $i] :
% 5.55/5.85 ( ( mem @ V0f @ ( arr @ A_27a @ bool ) )
% 5.55/5.85 => ! [V1n: tp__ty_2Enum_2Enum,V2x: $i] :
% 5.55/5.85 ( ( mem @ V2x @ A_27a )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EEVERY @ A_27a ) @ V0f ) @ ( ap @ ( ap @ ( c_2Erich__list_2EREPLICATE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ V2x ) ) )
% 5.55/5.85 <=> ( ( V1n = fo__c_2Enum_2E0 )
% 5.55/5.85 | ( p @ ( ap @ V0f @ V2x ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EALL__DISTINCT__DROP,axiom,
% 5.55/5.85 ! [A_27a: del,V0ls: $i] :
% 5.55/5.85 ( ( mem @ V0ls @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V1n: tp__ty_2Enum_2Enum] :
% 5.55/5.85 ( ( p @ ( ap @ ( c_2Elist_2EALL__DISTINCT @ A_27a ) @ V0ls ) )
% 5.55/5.85 => ( p @ ( ap @ ( c_2Elist_2EALL__DISTINCT @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EDROP @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ V0ls ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EMAP__SND__FILTER__NEQ,axiom,
% 5.55/5.85 ! [A_27a: del,A_27b: del,V0z: $i] :
% 5.55/5.85 ( ( mem @ V0z @ A_27a )
% 5.55/5.85 => ! [V1ls: $i] :
% 5.55/5.85 ( ( mem @ V1ls @ ( ty_2Elist_2Elist @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Elist_2EMAP @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) @ A_27a ) @ ( c_2Epair_2ESND @ A_27b @ A_27a ) )
% 5.55/5.85 @ ( ap
% 5.55/5.85 @ ( ap @ ( c_2Elist_2EFILTER @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) )
% 5.55/5.85 @ ( ap @ ( c_2Epair_2EUNCURRY @ A_27b @ A_27a @ bool )
% 5.55/5.85 @ ( lam @ A_27b
% 5.55/5.85 @ ^ [V2x: $i] :
% 5.55/5.85 ( lam @ A_27a
% 5.55/5.85 @ ^ [V3y: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V3y ) @ V0z ) ) ) ) ) )
% 5.55/5.85 @ V1ls ) )
% 5.55/5.85 = ( ap
% 5.55/5.85 @ ( ap @ ( c_2Elist_2EFILTER @ A_27a )
% 5.55/5.85 @ ( lam @ A_27a
% 5.55/5.85 @ ^ [V4y: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V0z ) @ V4y ) ) ) )
% 5.55/5.85 @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) @ A_27a ) @ ( c_2Epair_2ESND @ A_27b @ A_27a ) ) @ V1ls ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EMEM__SING__APPEND,axiom,
% 5.55/5.85 ! [A_27a: del,V0d: $i] :
% 5.55/5.85 ( ( mem @ V0d @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V1b: $i] :
% 5.55/5.85 ( ( mem @ V1b @ A_27a )
% 5.55/5.85 => ( ! [V2a: $i] :
% 5.55/5.85 ( ( mem @ V2a @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V3c: $i] :
% 5.55/5.85 ( ( mem @ V3c @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( V0d
% 5.55/5.85 != ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V2a ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1b ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) @ V3c ) ) ) )
% 5.55/5.85 <=> ~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V1b ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V0d ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EEL__LENGTH__APPEND__rwt,axiom,
% 5.55/5.85 ! [A_27a: del,V0l2: $i] :
% 5.55/5.85 ( ( mem @ V0l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V1n: tp__ty_2Enum_2Enum,V2l1: $i] :
% 5.55/5.85 ( ( mem @ V2l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ~ ( p @ ( ap @ ( c_2Elist_2ENULL @ A_27a ) @ V0l2 ) )
% 5.55/5.85 & ( V1n
% 5.55/5.85 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2l1 ) ) ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V2l1 ) @ V0l2 ) )
% 5.55/5.85 = ( ap @ ( c_2Elist_2EHD @ A_27a ) @ V0l2 ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EMAP__FST__funs,axiom,
% 5.55/5.85 ! [A_27a: del,A_27b: del,A_27c: del,V0funs: $i] :
% 5.55/5.85 ( ( mem @ V0funs @ ( ty_2Elist_2Elist @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27c ) ) ) )
% 5.55/5.85 => ( ( ap
% 5.55/5.85 @ ( ap @ ( c_2Elist_2EMAP @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27c ) ) @ A_27a )
% 5.55/5.85 @ ( ap @ ( c_2Epair_2EUNCURRY @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27c ) @ A_27a )
% 5.55/5.85 @ ( lam @ A_27a
% 5.55/5.85 @ ^ [V1x: $i] :
% 5.55/5.85 ( ap @ ( c_2Epair_2EUNCURRY @ A_27b @ A_27c @ A_27a )
% 5.55/5.85 @ ( lam @ A_27b
% 5.55/5.85 @ ^ [V2y: $i] :
% 5.55/5.85 ( lam @ A_27c
% 5.55/5.85 @ ^ [V3z: $i] : V1x ) ) ) ) ) )
% 5.55/5.85 @ V0funs )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2EMAP @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27c ) ) @ A_27a ) @ ( c_2Epair_2EFST @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27c ) ) ) @ V0funs ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ETAKE__PRE__LENGTH,axiom,
% 5.55/5.85 ! [A_27a: del,V0ls: $i] :
% 5.55/5.85 ( ( mem @ V0ls @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( V0ls
% 5.55/5.85 != ( c_2Elist_2ENIL @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Elist_2ETAKE @ A_27a ) @ ( ap @ c_2Eprim__rec_2EPRE @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0ls ) ) ) @ V0ls )
% 5.55/5.85 = ( ap @ ( c_2Elist_2EFRONT @ A_27a ) @ V0ls ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EDROP__LENGTH__NIL__rwt,axiom,
% 5.55/5.85 ! [A_27a: del,V0l: $i] :
% 5.55/5.85 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V1m: tp__ty_2Enum_2Enum] :
% 5.55/5.85 ( ( V1m
% 5.55/5.85 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Elist_2EDROP @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ V0l )
% 5.55/5.85 = ( c_2Elist_2ENIL @ A_27a ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EDROP__EL__CONS,axiom,
% 5.55/5.85 ! [A_27a: del,V0ls: $i] :
% 5.55/5.85 ( ( mem @ V0ls @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V1n: tp__ty_2Enum_2Enum] :
% 5.55/5.85 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0ls ) ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Elist_2EDROP @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ V0ls )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ V0ls ) ) @ ( ap @ ( ap @ ( c_2Elist_2EDROP @ A_27a ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ V0ls ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ETAKE__EL__SNOC,axiom,
% 5.55/5.85 ! [A_27a: del,V0ls: $i] :
% 5.55/5.85 ( ( mem @ V0ls @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V1n: tp__ty_2Enum_2Enum] :
% 5.55/5.85 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0ls ) ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Elist_2ETAKE @ A_27a ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ V0ls )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ESNOC @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ V0ls ) ) @ ( ap @ ( ap @ ( c_2Elist_2ETAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ V0ls ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EREVERSE__DROP,axiom,
% 5.55/5.85 ! [A_27a: del,V0ls: $i] :
% 5.55/5.85 ( ( mem @ V0ls @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V1n: tp__ty_2Enum_2Enum] :
% 5.55/5.85 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0ls ) ) )
% 5.55/5.85 => ( ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EDROP @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ V0ls ) )
% 5.55/5.85 = ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ ( ap @ ( ap @ ( c_2Erich__list_2ELASTN @ A_27a ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0ls ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ V0ls ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ELENGTH__FILTER__LESS,axiom,
% 5.55/5.85 ! [A_27a: del,V0P: $i] :
% 5.55/5.85 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.55/5.85 => ! [V1ls: $i] :
% 5.55/5.85 ( ( mem @ V1ls @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EEXISTS @ A_27a ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27a @ bool @ bool ) @ c_2Ebool_2E_7E ) @ V0P ) ) @ V1ls ) )
% 5.55/5.85 => ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EFILTER @ A_27a ) @ V0P ) @ V1ls ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1ls ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EEVERY2__APPEND,axiom,
% 5.55/5.85 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.55/5.85 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.55/5.85 => ! [V1l1: $i] :
% 5.55/5.85 ( ( mem @ V1l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V2l2: $i] :
% 5.55/5.85 ( ( mem @ V2l2 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.85 => ! [V3l3: $i] :
% 5.55/5.85 ( ( mem @ V3l3 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V4l4: $i] :
% 5.55/5.85 ( ( mem @ V4l4 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.85 => ( ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27a @ A_27b ) @ V0R ) @ V1l1 ) @ V2l2 ) )
% 5.55/5.85 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27a @ A_27b ) @ V0R ) @ V3l3 ) @ V4l4 ) ) )
% 5.55/5.85 <=> ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27a @ A_27b ) @ V0R ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V1l1 ) @ V3l3 ) ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27b ) @ V2l2 ) @ V4l4 ) ) )
% 5.55/5.85 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l1 ) )
% 5.55/5.85 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27b ) @ V2l2 ) ) )
% 5.55/5.85 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V3l3 ) )
% 5.55/5.85 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27b ) @ V4l4 ) ) ) ) ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ELIST__REL__APPEND__IMP,axiom,
% 5.55/5.85 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.55/5.85 ( ( mem @ V0P @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.55/5.85 => ! [V1xs: $i] :
% 5.55/5.85 ( ( mem @ V1xs @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V2ys: $i] :
% 5.55/5.85 ( ( mem @ V2ys @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.85 => ! [V3xs1: $i] :
% 5.55/5.85 ( ( mem @ V3xs1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V4ys1: $i] :
% 5.55/5.85 ( ( mem @ V4ys1 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.85 => ( ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27a @ A_27b ) @ V0P ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V1xs ) @ V3xs1 ) ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27b ) @ V2ys ) @ V4ys1 ) ) )
% 5.55/5.85 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1xs ) )
% 5.55/5.85 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27b ) @ V2ys ) ) ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27a @ A_27b ) @ V0P ) @ V1xs ) @ V2ys ) )
% 5.55/5.85 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27a @ A_27b ) @ V0P ) @ V3xs1 ) @ V4ys1 ) ) ) ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EEVERY2__APPEND__suff,axiom,
% 5.55/5.85 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.55/5.85 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.55/5.85 => ! [V1l1: $i] :
% 5.55/5.85 ( ( mem @ V1l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V2l2: $i] :
% 5.55/5.85 ( ( mem @ V2l2 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.85 => ! [V3l3: $i] :
% 5.55/5.85 ( ( mem @ V3l3 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V4l4: $i] :
% 5.55/5.85 ( ( mem @ V4l4 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.85 => ( ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27a @ A_27b ) @ V0R ) @ V1l1 ) @ V2l2 ) )
% 5.55/5.85 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27a @ A_27b ) @ V0R ) @ V3l3 ) @ V4l4 ) ) )
% 5.55/5.85 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27a @ A_27b ) @ V0R ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V1l1 ) @ V3l3 ) ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27b ) @ V2l2 ) @ V4l4 ) ) ) ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EEVERY2__DROP,axiom,
% 5.55/5.85 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.55/5.85 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.55/5.85 => ! [V1l1: $i] :
% 5.55/5.85 ( ( mem @ V1l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V2l2: $i] :
% 5.55/5.85 ( ( mem @ V2l2 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.85 => ! [V3n: tp__ty_2Enum_2Enum] :
% 5.55/5.85 ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27a @ A_27b ) @ V0R ) @ V1l1 ) @ V2l2 ) )
% 5.55/5.85 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27a @ A_27b ) @ V0R ) @ ( ap @ ( ap @ ( c_2Elist_2EDROP @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V3n ) ) @ V1l1 ) ) @ ( ap @ ( ap @ ( c_2Elist_2EDROP @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V3n ) ) @ V2l2 ) ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EEVERY2__TAKE,axiom,
% 5.55/5.85 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.55/5.85 ( ( mem @ V0P @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.55/5.85 => ! [V1xs: $i] :
% 5.55/5.85 ( ( mem @ V1xs @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V2ys: $i] :
% 5.55/5.85 ( ( mem @ V2ys @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.85 => ! [V3n: tp__ty_2Enum_2Enum] :
% 5.55/5.85 ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27a @ A_27b ) @ V0P ) @ V1xs ) @ V2ys ) )
% 5.55/5.85 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27a @ A_27b ) @ V0P ) @ ( ap @ ( ap @ ( c_2Elist_2ETAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V3n ) ) @ V1xs ) ) @ ( ap @ ( ap @ ( c_2Elist_2ETAKE @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V3n ) ) @ V2ys ) ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ELIST__REL__APPEND__SING,axiom,
% 5.55/5.85 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.55/5.85 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.55/5.85 => ! [V1l1: $i] :
% 5.55/5.85 ( ( mem @ V1l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V2x1: $i] :
% 5.55/5.85 ( ( mem @ V2x1 @ A_27a )
% 5.55/5.85 => ! [V3l2: $i] :
% 5.55/5.85 ( ( mem @ V3l2 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.85 => ! [V4x2: $i] :
% 5.55/5.85 ( ( mem @ V4x2 @ A_27b )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27a @ A_27b ) @ V0R ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V1l1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2x1 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27b ) @ V3l2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27b ) @ V4x2 ) @ ( c_2Elist_2ENIL @ A_27b ) ) ) ) )
% 5.55/5.85 <=> ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27a @ A_27b ) @ V0R ) @ V1l1 ) @ V3l2 ) )
% 5.55/5.85 & ( p @ ( ap @ ( ap @ V0R @ V2x1 ) @ V4x2 ) ) ) ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ELIST__REL__GENLIST,axiom,
% 5.55/5.85 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.55/5.85 ( ( mem @ V0P @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.55/5.85 => ! [V1f: $i] :
% 5.55/5.85 ( ( mem @ V1f @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.55/5.85 => ! [V2l: tp__ty_2Enum_2Enum,V3g: $i] :
% 5.55/5.85 ( ( mem @ V3g @ ( arr @ ty_2Enum_2Enum @ A_27b ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27a @ A_27b ) @ V0P ) @ ( ap @ ( ap @ ( c_2Elist_2EGENLIST @ A_27a ) @ V1f ) @ ( inj__ty_2Enum_2Enum @ V2l ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2EGENLIST @ A_27b ) @ V3g ) @ ( inj__ty_2Enum_2Enum @ V2l ) ) ) )
% 5.55/5.85 <=> ! [V4i: tp__ty_2Enum_2Enum] :
% 5.55/5.85 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V4i ) ) @ ( inj__ty_2Enum_2Enum @ V2l ) ) )
% 5.55/5.85 => ( p @ ( ap @ ( ap @ V0P @ ( ap @ V1f @ ( inj__ty_2Enum_2Enum @ V4i ) ) ) @ ( ap @ V3g @ ( inj__ty_2Enum_2Enum @ V4i ) ) ) ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EALL__DISTINCT__MEM__ZIP__MAP,axiom,
% 5.55/5.85 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.55/5.85 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.55/5.85 => ! [V1x: $i] :
% 5.55/5.85 ( ( mem @ V1x @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) )
% 5.55/5.85 => ! [V2ls: $i] :
% 5.55/5.85 ( ( mem @ V2ls @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( c_2Elist_2EALL__DISTINCT @ A_27a ) @ V2ls ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ V1x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( ap @ ( c_2Elist_2EZIP @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27b ) ) @ V2ls ) @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27a @ A_27b ) @ V0f ) @ V2ls ) ) ) ) ) )
% 5.55/5.85 <=> ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ ( ap @ ( c_2Epair_2EFST @ A_27a @ A_27b ) @ V1x ) ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V2ls ) ) )
% 5.55/5.85 & ( ( ap @ ( c_2Epair_2ESND @ A_27a @ A_27b ) @ V1x )
% 5.55/5.85 = ( ap @ V0f @ ( ap @ ( c_2Epair_2EFST @ A_27a @ A_27b ) @ V1x ) ) ) ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EREVERSE__ZIP,axiom,
% 5.55/5.85 ! [A_27a: del,A_27b: del,V0l1: $i] :
% 5.55/5.85 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V1l2: $i] :
% 5.55/5.85 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.85 => ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l1 ) )
% 5.55/5.85 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27b ) @ V1l2 ) ) )
% 5.55/5.85 => ( ( ap @ ( c_2Elist_2EREVERSE @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( ap @ ( c_2Elist_2EZIP @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27b ) ) @ V0l1 ) @ V1l2 ) ) )
% 5.55/5.85 = ( ap @ ( c_2Elist_2EZIP @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27b ) ) @ ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ V0l1 ) ) @ ( ap @ ( c_2Elist_2EREVERSE @ A_27b ) @ V1l2 ) ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EEVERY2__REVERSE1,axiom,
% 5.55/5.85 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.55/5.85 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.55/5.85 => ! [V1l1: $i] :
% 5.55/5.85 ( ( mem @ V1l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V2l2: $i] :
% 5.55/5.85 ( ( mem @ V2l2 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27a @ A_27b ) @ V0R ) @ V1l1 ) @ ( ap @ ( c_2Elist_2EREVERSE @ A_27b ) @ V2l2 ) ) )
% 5.55/5.85 <=> ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27a @ A_27b ) @ V0R ) @ ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ V1l1 ) ) @ V2l2 ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ELIST__REL__REVERSE__EQ,axiom,
% 5.55/5.85 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.55/5.85 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.55/5.85 => ! [V1l1: $i] :
% 5.55/5.85 ( ( mem @ V1l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V2l2: $i] :
% 5.55/5.85 ( ( mem @ V2l2 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27a @ A_27b ) @ V0R ) @ ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ V1l1 ) ) @ ( ap @ ( c_2Elist_2EREVERSE @ A_27b ) @ V2l2 ) ) )
% 5.55/5.85 <=> ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27a @ A_27b ) @ V0R ) @ V1l1 ) @ V2l2 ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2Eevery__count__list,axiom,
% 5.55/5.85 ! [V0P: $i] :
% 5.55/5.85 ( ( mem @ V0P @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.55/5.85 => ! [V1n: tp__ty_2Enum_2Enum] :
% 5.55/5.85 ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EEVERY @ ty_2Enum_2Enum ) @ V0P ) @ ( ap @ c_2Erich__list_2ECOUNT__LIST @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.55/5.85 <=> ! [V2m: tp__ty_2Enum_2Enum] :
% 5.55/5.85 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V2m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.55/5.85 => ( p @ ( ap @ V0P @ ( inj__ty_2Enum_2Enum @ V2m ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2Ecount__list__sub1,axiom,
% 5.55/5.85 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.55/5.85 ( ( V0n != fo__c_2Enum_2E0 )
% 5.55/5.85 => ( ( surj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ ( ap @ c_2Erich__list_2ECOUNT__LIST @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.55/5.85 = ( surj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ c_2Enum_2ESUC ) @ ( ap @ c_2Erich__list_2ECOUNT__LIST @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2Eel__map__count,axiom,
% 5.55/5.85 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1f: $i] :
% 5.55/5.85 ( ( mem @ V1f @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.55/5.85 => ! [V2m: tp__ty_2Enum_2Enum] :
% 5.55/5.85 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V2m ) ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ ty_2Enum_2Enum @ A_27a ) @ V1f ) @ ( ap @ c_2Erich__list_2ECOUNT__LIST @ ( inj__ty_2Enum_2Enum @ V2m ) ) ) )
% 5.55/5.85 = ( ap @ V1f @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EZIP__COUNT__LIST,axiom,
% 5.55/5.85 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1l1: $i] :
% 5.55/5.85 ( ( mem @ V1l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( V0n
% 5.55/5.85 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l1 ) ) )
% 5.55/5.85 => ( ( ap @ ( c_2Elist_2EZIP @ A_27a @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ ty_2Enum_2Enum ) ) @ V1l1 ) @ ( ap @ c_2Erich__list_2ECOUNT__LIST @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) )
% 5.55/5.85 = ( ap
% 5.55/5.85 @ ( ap @ ( c_2Elist_2EGENLIST @ ( ty_2Epair_2Eprod @ A_27a @ ty_2Enum_2Enum ) )
% 5.55/5.85 @ ( lam @ ty_2Enum_2Enum
% 5.55/5.85 @ ^ [V2n: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ V2n ) @ V1l1 ) ) @ V2n ) ) )
% 5.55/5.85 @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l1 ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2Emap__replicate,axiom,
% 5.55/5.85 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.55/5.85 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.55/5.85 => ! [V1n: tp__ty_2Enum_2Enum,V2x: $i] :
% 5.55/5.85 ( ( mem @ V2x @ A_27a )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27a @ A_27b ) @ V0f ) @ ( ap @ ( ap @ ( c_2Erich__list_2EREPLICATE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ V2x ) )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Erich__list_2EREPLICATE @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ V0f @ V2x ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EREPLICATE__NIL,axiom,
% 5.55/5.85 ! [A_27a: del,V0x: tp__ty_2Enum_2Enum,V1y: $i] :
% 5.55/5.85 ( ( mem @ V1y @ A_27a )
% 5.55/5.85 => ( ( ( ap @ ( ap @ ( c_2Erich__list_2EREPLICATE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ V1y )
% 5.55/5.85 = ( c_2Elist_2ENIL @ A_27a ) )
% 5.55/5.85 <=> ( V0x = fo__c_2Enum_2E0 ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EREPLICATE__APPEND,axiom,
% 5.55/5.85 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1a: $i] :
% 5.55/5.85 ( ( mem @ V1a @ A_27a )
% 5.55/5.85 => ! [V2m: tp__ty_2Enum_2Enum] :
% 5.55/5.85 ( ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ ( ap @ ( ap @ ( c_2Erich__list_2EREPLICATE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1a ) ) @ ( ap @ ( ap @ ( c_2Erich__list_2EREPLICATE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V2m ) ) @ V1a ) )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Erich__list_2EREPLICATE @ A_27a ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V2m ) ) ) @ V1a ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EDROP__REPLICATE,axiom,
% 5.55/5.85 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1m: tp__ty_2Enum_2Enum,V2a: $i] :
% 5.55/5.85 ( ( mem @ V2a @ A_27a )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Elist_2EDROP @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( ap @ ( c_2Erich__list_2EREPLICATE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ V2a ) )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Erich__list_2EREPLICATE @ A_27a ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ V2a ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ELIST__REL__REPLICATE__same,axiom,
% 5.55/5.85 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.55/5.85 ( ( mem @ V0P @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.55/5.85 => ! [V1n: tp__ty_2Enum_2Enum,V2x: $i] :
% 5.55/5.85 ( ( mem @ V2x @ A_27a )
% 5.55/5.85 => ! [V3y: $i] :
% 5.55/5.85 ( ( mem @ V3y @ A_27b )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27a @ A_27b ) @ V0P ) @ ( ap @ ( ap @ ( c_2Erich__list_2EREPLICATE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ V2x ) ) @ ( ap @ ( ap @ ( c_2Erich__list_2EREPLICATE @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ V3y ) ) )
% 5.55/5.85 <=> ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.55/5.85 => ( p @ ( ap @ ( ap @ V0P @ V2x ) @ V3y ) ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2Etake__drop__partition,axiom,
% 5.55/5.85 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1m: tp__ty_2Enum_2Enum,V2l: $i] :
% 5.55/5.85 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ETAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ V2l ) ) @ ( ap @ ( ap @ ( c_2Elist_2ETAKE @ A_27a ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2EDROP @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ V2l ) ) )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ETAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V2l ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2Eall__distinct__count__list,axiom,
% 5.55/5.85 ! [V0n: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( c_2Elist_2EALL__DISTINCT @ ty_2Enum_2Enum ) @ ( ap @ c_2Erich__list_2ECOUNT__LIST @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2Elist__rel__lastn,axiom,
% 5.55/5.85 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.55/5.85 ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.55/5.85 => ! [V1l1: $i] :
% 5.55/5.85 ( ( mem @ V1l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V2l2: $i] :
% 5.55/5.85 ( ( mem @ V2l2 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.85 => ! [V3n: tp__ty_2Enum_2Enum] :
% 5.55/5.85 ( ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V3n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l1 ) ) )
% 5.55/5.85 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27a @ A_27b ) @ V0f ) @ V1l1 ) @ V2l2 ) ) )
% 5.55/5.85 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27a @ A_27b ) @ V0f ) @ ( ap @ ( ap @ ( c_2Erich__list_2ELASTN @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V3n ) ) @ V1l1 ) ) @ ( ap @ ( ap @ ( c_2Erich__list_2ELASTN @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V3n ) ) @ V2l2 ) ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2Elist__rel__butlastn,axiom,
% 5.55/5.85 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.55/5.85 ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.55/5.85 => ! [V1l1: $i] :
% 5.55/5.85 ( ( mem @ V1l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V2l2: $i] :
% 5.55/5.85 ( ( mem @ V2l2 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.55/5.85 => ! [V3n: tp__ty_2Enum_2Enum] :
% 5.55/5.85 ( ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V3n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l1 ) ) )
% 5.55/5.85 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27a @ A_27b ) @ V0f ) @ V1l1 ) @ V2l2 ) ) )
% 5.55/5.85 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2ELIST__REL @ A_27a @ A_27b ) @ V0f ) @ ( ap @ ( ap @ ( c_2Erich__list_2EBUTLASTN @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V3n ) ) @ V1l1 ) ) @ ( ap @ ( ap @ ( c_2Erich__list_2EBUTLASTN @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V3n ) ) @ V2l2 ) ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EUNIQUE__LIST__ELEM__COUNT,axiom,
% 5.55/5.85 ! [A_27a: del,V0e: $i] :
% 5.55/5.85 ( ( mem @ V0e @ A_27a )
% 5.55/5.85 => ! [V1L: $i] :
% 5.55/5.85 ( ( mem @ V1L @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EUNIQUE @ A_27a ) @ V0e ) @ V1L ) )
% 5.55/5.85 <=> ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( c_2Erich__list_2ELIST__ELEM__COUNT @ A_27a ) @ V0e ) @ V1L ) )
% 5.55/5.85 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ECOUNT__LIST__compute,axiom,
% 5.55/5.85 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.55/5.85 ( ( surj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ ( ap @ c_2Erich__list_2ECOUNT__LIST @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.55/5.85 = ( surj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Erich__list_2ECOUNT__LIST__AUX @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( c_2Elist_2ENIL @ ty_2Enum_2Enum ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ESPLITP__compute,axiom,
% 5.55/5.85 ! [A_27a: del] :
% 5.55/5.85 ( ( c_2Erich__list_2ESPLITP @ A_27a )
% 5.55/5.85 = ( ap @ ( c_2Erich__list_2ESPLITP__AUX @ A_27a ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EIS__SUFFIX__compute,axiom,
% 5.55/5.85 ! [A_27a: del,V0l1: $i] :
% 5.55/5.85 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ! [V1l2: $i] :
% 5.55/5.85 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( p @ ( ap @ ( ap @ ( c_2Erich__list_2EIS__SUFFIX @ A_27a ) @ V0l1 ) @ V1l2 ) )
% 5.55/5.85 <=> ( p @ ( ap @ ( ap @ ( c_2Elist_2EisPREFIX @ A_27a ) @ ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ V1l2 ) ) @ ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ V0l1 ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ESEG__compute,axiom,
% 5.55/5.85 ! [A_27a: del] :
% 5.55/5.85 ( ! [V0k: tp__ty_2Enum_2Enum,V1l: $i] :
% 5.55/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( ap @ ( c_2Erich__list_2ESEG @ A_27a ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0k ) ) @ V1l )
% 5.55/5.85 = ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.55/5.85 & ! [V2m: tp__ty_2Enum_2Enum,V3x: $i] :
% 5.55/5.85 ( ( mem @ V3x @ A_27a )
% 5.55/5.85 => ! [V4l: $i] :
% 5.55/5.85 ( ( mem @ V4l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( ap @ ( c_2Erich__list_2ESEG @ A_27a ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V2m ) ) ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3x ) @ V4l ) )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3x ) @ ( ap @ ( ap @ ( ap @ ( c_2Erich__list_2ESEG @ A_27a ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V2m ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ V4l ) ) ) ) )
% 5.55/5.85 & ! [V5m: tp__ty_2Enum_2Enum,V6x: $i] :
% 5.55/5.85 ( ( mem @ V6x @ A_27a )
% 5.55/5.85 => ! [V7l: $i] :
% 5.55/5.85 ( ( mem @ V7l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( ap @ ( c_2Erich__list_2ESEG @ A_27a ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V5m ) ) ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V6x ) @ V7l ) )
% 5.55/5.85 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V6x ) @ ( ap @ ( ap @ ( ap @ ( c_2Erich__list_2ESEG @ A_27a ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V5m ) ) ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ V7l ) ) ) ) )
% 5.55/5.85 & ! [V8m: tp__ty_2Enum_2Enum,V9k: tp__ty_2Enum_2Enum,V10x: $i] :
% 5.55/5.85 ( ( mem @ V10x @ A_27a )
% 5.55/5.85 => ! [V11l: $i] :
% 5.55/5.85 ( ( mem @ V11l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( ap @ ( c_2Erich__list_2ESEG @ A_27a ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V8m ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V9k ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V10x ) @ V11l ) )
% 5.55/5.85 = ( ap @ ( ap @ ( ap @ ( c_2Erich__list_2ESEG @ A_27a ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V8m ) ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V9k ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ V11l ) ) ) )
% 5.55/5.85 & ! [V12m: tp__ty_2Enum_2Enum,V13k: tp__ty_2Enum_2Enum,V14x: $i] :
% 5.55/5.85 ( ( mem @ V14x @ A_27a )
% 5.55/5.85 => ! [V15l: $i] :
% 5.55/5.85 ( ( mem @ V15l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( ap @ ( c_2Erich__list_2ESEG @ A_27a ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V12m ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V13k ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V14x ) @ V15l ) )
% 5.55/5.85 = ( ap @ ( ap @ ( ap @ ( c_2Erich__list_2ESEG @ A_27a ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V12m ) ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V13k ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ V15l ) ) ) )
% 5.55/5.85 & ! [V16m: tp__ty_2Enum_2Enum,V17k: tp__ty_2Enum_2Enum,V18x: $i] :
% 5.55/5.85 ( ( mem @ V18x @ A_27a )
% 5.55/5.85 => ! [V19l: $i] :
% 5.55/5.85 ( ( mem @ V19l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( ap @ ( c_2Erich__list_2ESEG @ A_27a ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V16m ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V17k ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V18x ) @ V19l ) )
% 5.55/5.85 = ( ap @ ( ap @ ( ap @ ( c_2Erich__list_2ESEG @ A_27a ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V16m ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V17k ) ) ) ) @ V19l ) ) ) )
% 5.55/5.85 & ! [V20m: tp__ty_2Enum_2Enum,V21k: tp__ty_2Enum_2Enum,V22x: $i] :
% 5.55/5.85 ( ( mem @ V22x @ A_27a )
% 5.55/5.85 => ! [V23l: $i] :
% 5.55/5.85 ( ( mem @ V23l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( ap @ ( c_2Erich__list_2ESEG @ A_27a ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V20m ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V21k ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V22x ) @ V23l ) )
% 5.55/5.85 = ( ap @ ( ap @ ( ap @ ( c_2Erich__list_2ESEG @ A_27a ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V20m ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V21k ) ) ) ) @ V23l ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2EBUTLASTN__compute,axiom,
% 5.55/5.85 ! [A_27a: del,V0longer_20than_20list: $i] :
% 5.55/5.85 ( ( mem @ V0longer_20than_20list @ bool )
% 5.55/5.85 => ! [V1n: tp__ty_2Enum_2Enum,V2l: $i] :
% 5.55/5.85 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Erich__list_2EBUTLASTN @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ V2l )
% 5.55/5.85 = ( ap
% 5.55/5.85 @ ( ap @ ( c_2Ebool_2ELET @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 @ ( lam @ ty_2Enum_2Enum
% 5.55/5.85 @ ^ [V3m: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ V3m ) ) @ ( ap @ ( ap @ ( c_2Elist_2ETAKE @ A_27a ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ V3m ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ V2l ) ) @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Ecombin_2EFAIL @ ( arr @ ty_2Enum_2Enum @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) ) @ bool ) @ ( c_2Erich__list_2EBUTLASTN @ A_27a ) ) @ V0longer_20than_20list ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ V2l ) ) ) )
% 5.55/5.85 @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2l ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2Erich__list_2ELASTN__compute,axiom,
% 5.55/5.85 ! [A_27a: del,V0longer_20than_20list: $i] :
% 5.55/5.85 ( ( mem @ V0longer_20than_20list @ bool )
% 5.55/5.85 => ! [V1n: tp__ty_2Enum_2Enum,V2l: $i] :
% 5.55/5.85 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 => ( ( ap @ ( ap @ ( c_2Erich__list_2ELASTN @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ V2l )
% 5.55/5.85 = ( ap
% 5.55/5.85 @ ( ap @ ( c_2Ebool_2ELET @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.55/5.85 @ ( lam @ ty_2Enum_2Enum
% 5.55/5.85 @ ^ [V3m: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ V3m ) ) @ ( ap @ ( ap @ ( c_2Elist_2EDROP @ A_27a ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ V3m ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ V2l ) ) @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Ecombin_2EFAIL @ ( arr @ ty_2Enum_2Enum @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) ) @ bool ) @ ( c_2Erich__list_2ELASTN @ A_27a ) ) @ V0longer_20than_20list ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ V2l ) ) ) )
% 5.55/5.85 @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2l ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 %------------------------------------------------------------------------------
% 5.55/5.85 %------------------------------------------------------------------------------
% 5.55/5.85 thf(stp_c_ty_2Epair_2Eprod_c_ty_2Esum_2Esum_ty_2Enum_2Enum_o_c_ty_2Esum_2Esum_ty_2Enum_2Enum_o,type,
% 5.55/5.85 tp__c_ty_2Epair_2Eprod_c_ty_2Esum_2Esum_ty_2Enum_2Enum_o_c_ty_2Esum_2Esum_ty_2Enum_2Enum_o: $tType ).
% 5.55/5.85
% 5.55/5.85 thf(stp_inj_c_ty_2Epair_2Eprod_c_ty_2Esum_2Esum_ty_2Enum_2Enum_o_c_ty_2Esum_2Esum_ty_2Enum_2Enum_o,type,
% 5.55/5.85 inj__c_ty_2Epair_2Eprod_c_ty_2Esum_2Esum_ty_2Enum_2Enum_o_c_ty_2Esum_2Esum_ty_2Enum_2Enum_o: tp__c_ty_2Epair_2Eprod_c_ty_2Esum_2Esum_ty_2Enum_2Enum_o_c_ty_2Esum_2Esum_ty_2Enum_2Enum_o > $i ).
% 5.55/5.85
% 5.55/5.85 thf(stp_surj_c_ty_2Epair_2Eprod_c_ty_2Esum_2Esum_ty_2Enum_2Enum_o_c_ty_2Esum_2Esum_ty_2Enum_2Enum_o,type,
% 5.55/5.85 surj__c_ty_2Epair_2Eprod_c_ty_2Esum_2Esum_ty_2Enum_2Enum_o_c_ty_2Esum_2Esum_ty_2Enum_2Enum_o: $i > tp__c_ty_2Epair_2Eprod_c_ty_2Esum_2Esum_ty_2Enum_2Enum_o_c_ty_2Esum_2Esum_ty_2Enum_2Enum_o ).
% 5.55/5.85
% 5.55/5.85 thf(stp_inj_surj_c_ty_2Epair_2Eprod_c_ty_2Esum_2Esum_ty_2Enum_2Enum_o_c_ty_2Esum_2Esum_ty_2Enum_2Enum_o,axiom,
% 5.55/5.85 ! [X: tp__c_ty_2Epair_2Eprod_c_ty_2Esum_2Esum_ty_2Enum_2Enum_o_c_ty_2Esum_2Esum_ty_2Enum_2Enum_o] :
% 5.55/5.85 ( ( surj__c_ty_2Epair_2Eprod_c_ty_2Esum_2Esum_ty_2Enum_2Enum_o_c_ty_2Esum_2Esum_ty_2Enum_2Enum_o @ ( inj__c_ty_2Epair_2Eprod_c_ty_2Esum_2Esum_ty_2Enum_2Enum_o_c_ty_2Esum_2Esum_ty_2Enum_2Enum_o @ X ) )
% 5.55/5.85 = X ) ).
% 5.55/5.85
% 5.55/5.85 thf(stp_inj_mem_c_ty_2Epair_2Eprod_c_ty_2Esum_2Esum_ty_2Enum_2Enum_o_c_ty_2Esum_2Esum_ty_2Enum_2Enum_o,axiom,
% 5.55/5.85 ! [X: tp__c_ty_2Epair_2Eprod_c_ty_2Esum_2Esum_ty_2Enum_2Enum_o_c_ty_2Esum_2Esum_ty_2Enum_2Enum_o] : ( mem @ ( inj__c_ty_2Epair_2Eprod_c_ty_2Esum_2Esum_ty_2Enum_2Enum_o_c_ty_2Esum_2Esum_ty_2Enum_2Enum_o @ X ) @ ( ty_2Epair_2Eprod @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(stp_iso_mem_c_ty_2Epair_2Eprod_c_ty_2Esum_2Esum_ty_2Enum_2Enum_o_c_ty_2Esum_2Esum_ty_2Enum_2Enum_o,axiom,
% 5.55/5.85 ! [X: $i] :
% 5.55/5.85 ( ( mem @ X @ ( ty_2Epair_2Eprod @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) ) )
% 5.55/5.85 => ( X
% 5.55/5.85 = ( inj__c_ty_2Epair_2Eprod_c_ty_2Esum_2Esum_ty_2Enum_2Enum_o_c_ty_2Esum_2Esum_ty_2Enum_2Enum_o @ ( surj__c_ty_2Epair_2Eprod_c_ty_2Esum_2Esum_ty_2Enum_2Enum_o_c_ty_2Esum_2Esum_ty_2Enum_2Enum_o @ X ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(stp_c_ty_2Esum_2Esum_ty_2Enum_2Enum_o,type,
% 5.55/5.85 tp__c_ty_2Esum_2Esum_ty_2Enum_2Enum_o: $tType ).
% 5.55/5.85
% 5.55/5.85 thf(stp_inj_c_ty_2Esum_2Esum_ty_2Enum_2Enum_o,type,
% 5.55/5.85 inj__c_ty_2Esum_2Esum_ty_2Enum_2Enum_o: tp__c_ty_2Esum_2Esum_ty_2Enum_2Enum_o > $i ).
% 5.55/5.85
% 5.55/5.85 thf(stp_surj_c_ty_2Esum_2Esum_ty_2Enum_2Enum_o,type,
% 5.55/5.85 surj__c_ty_2Esum_2Esum_ty_2Enum_2Enum_o: $i > tp__c_ty_2Esum_2Esum_ty_2Enum_2Enum_o ).
% 5.55/5.85
% 5.55/5.85 thf(stp_inj_surj_c_ty_2Esum_2Esum_ty_2Enum_2Enum_o,axiom,
% 5.55/5.85 ! [X: tp__c_ty_2Esum_2Esum_ty_2Enum_2Enum_o] :
% 5.55/5.85 ( ( surj__c_ty_2Esum_2Esum_ty_2Enum_2Enum_o @ ( inj__c_ty_2Esum_2Esum_ty_2Enum_2Enum_o @ X ) )
% 5.55/5.85 = X ) ).
% 5.55/5.85
% 5.55/5.85 thf(stp_inj_mem_c_ty_2Esum_2Esum_ty_2Enum_2Enum_o,axiom,
% 5.55/5.85 ! [X: tp__c_ty_2Esum_2Esum_ty_2Enum_2Enum_o] : ( mem @ ( inj__c_ty_2Esum_2Esum_ty_2Enum_2Enum_o @ X ) @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(stp_iso_mem_c_ty_2Esum_2Esum_ty_2Enum_2Enum_o,axiom,
% 5.55/5.85 ! [X: $i] :
% 5.55/5.85 ( ( mem @ X @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) )
% 5.55/5.85 => ( X
% 5.55/5.85 = ( inj__c_ty_2Esum_2Esum_ty_2Enum_2Enum_o @ ( surj__c_ty_2Esum_2Esum_ty_2Enum_2Enum_o @ X ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(tp_c_2EdefCNF_2EDEF,type,
% 5.55/5.85 c_2EdefCNF_2EDEF: $i ).
% 5.55/5.85
% 5.55/5.85 thf(mem_c_2EdefCNF_2EDEF,axiom,
% 5.55/5.85 mem @ c_2EdefCNF_2EDEF @ ( arr @ ( arr @ ty_2Enum_2Enum @ bool ) @ ( arr @ ty_2Enum_2Enum @ ( arr @ ( ty_2Elist_2Elist @ ( ty_2Epair_2Eprod @ ( arr @ bool @ ( arr @ bool @ bool ) ) @ ( ty_2Epair_2Eprod @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) ) ) ) @ bool ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(tp_c_2EdefCNF_2EOK,type,
% 5.55/5.85 c_2EdefCNF_2EOK: $i ).
% 5.55/5.85
% 5.55/5.85 thf(mem_c_2EdefCNF_2EOK,axiom,
% 5.55/5.85 mem @ c_2EdefCNF_2EOK @ ( arr @ ty_2Enum_2Enum @ ( arr @ ( ty_2Epair_2Eprod @ ( arr @ bool @ ( arr @ bool @ bool ) ) @ ( ty_2Epair_2Eprod @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) ) ) @ bool ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(tp_c_2EdefCNF_2EOKDEF,type,
% 5.55/5.85 c_2EdefCNF_2EOKDEF: $i ).
% 5.55/5.85
% 5.55/5.85 thf(mem_c_2EdefCNF_2EOKDEF,axiom,
% 5.55/5.85 mem @ c_2EdefCNF_2EOKDEF @ ( arr @ ty_2Enum_2Enum @ ( arr @ ( ty_2Elist_2Elist @ ( ty_2Epair_2Eprod @ ( arr @ bool @ ( arr @ bool @ bool ) ) @ ( ty_2Epair_2Eprod @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) ) ) ) @ bool ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(tp_c_2EdefCNF_2EUNIQUE,type,
% 5.55/5.85 c_2EdefCNF_2EUNIQUE: $i ).
% 5.55/5.85
% 5.55/5.85 thf(mem_c_2EdefCNF_2EUNIQUE,axiom,
% 5.55/5.85 mem @ c_2EdefCNF_2EUNIQUE @ ( arr @ ( arr @ ty_2Enum_2Enum @ bool ) @ ( arr @ ty_2Enum_2Enum @ ( arr @ ( ty_2Epair_2Eprod @ ( arr @ bool @ ( arr @ bool @ bool ) ) @ ( ty_2Epair_2Eprod @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) ) ) @ bool ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2EdefCNF_2EUNIQUE__ind,axiom,
% 5.55/5.85 ! [V0P: $i] :
% 5.55/5.85 ( ( mem @ V0P @ ( arr @ ( arr @ ty_2Enum_2Enum @ bool ) @ ( arr @ ty_2Enum_2Enum @ ( arr @ ( ty_2Epair_2Eprod @ ( arr @ bool @ ( arr @ bool @ bool ) ) @ ( ty_2Epair_2Eprod @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) ) ) @ bool ) ) ) )
% 5.55/5.85 => ( ( ! [V1v: $i] :
% 5.55/5.85 ( ( mem @ V1v @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.55/5.85 => ! [V2n: tp__ty_2Enum_2Enum,V3conn: $i] :
% 5.55/5.85 ( ( mem @ V3conn @ ( arr @ bool @ ( arr @ bool @ bool ) ) )
% 5.55/5.85 => ! [V4i: tp__ty_2Enum_2Enum,V5j: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ ( ap @ V0P @ V1v ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( arr @ bool @ ( arr @ bool @ bool ) ) @ ( ty_2Epair_2Eprod @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) ) ) @ V3conn ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) ) @ ( ap @ ( c_2Esum_2EINL @ ty_2Enum_2Enum @ bool ) @ ( inj__ty_2Enum_2Enum @ V4i ) ) ) @ ( ap @ ( c_2Esum_2EINL @ ty_2Enum_2Enum @ bool ) @ ( inj__ty_2Enum_2Enum @ V5j ) ) ) ) ) ) ) )
% 5.55/5.85 & ! [V6v: $i] :
% 5.55/5.85 ( ( mem @ V6v @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.55/5.85 => ! [V7n: tp__ty_2Enum_2Enum,V8conn: $i] :
% 5.55/5.85 ( ( mem @ V8conn @ ( arr @ bool @ ( arr @ bool @ bool ) ) )
% 5.55/5.85 => ! [V9i: tp__ty_2Enum_2Enum,V10b: $i] :
% 5.55/5.85 ( ( mem @ V10b @ bool )
% 5.55/5.85 => ( p @ ( ap @ ( ap @ ( ap @ V0P @ V6v ) @ ( inj__ty_2Enum_2Enum @ V7n ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( arr @ bool @ ( arr @ bool @ bool ) ) @ ( ty_2Epair_2Eprod @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) ) ) @ V8conn ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) ) @ ( ap @ ( c_2Esum_2EINL @ ty_2Enum_2Enum @ bool ) @ ( inj__ty_2Enum_2Enum @ V9i ) ) ) @ ( ap @ ( c_2Esum_2EINR @ ty_2Enum_2Enum @ bool ) @ V10b ) ) ) ) ) ) ) )
% 5.55/5.85 & ! [V11v: $i] :
% 5.55/5.85 ( ( mem @ V11v @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.55/5.85 => ! [V12n: tp__ty_2Enum_2Enum,V13conn: $i] :
% 5.55/5.85 ( ( mem @ V13conn @ ( arr @ bool @ ( arr @ bool @ bool ) ) )
% 5.55/5.85 => ! [V14a: $i] :
% 5.55/5.85 ( ( mem @ V14a @ bool )
% 5.55/5.85 => ! [V15j: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ ( ap @ V0P @ V11v ) @ ( inj__ty_2Enum_2Enum @ V12n ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( arr @ bool @ ( arr @ bool @ bool ) ) @ ( ty_2Epair_2Eprod @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) ) ) @ V13conn ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) ) @ ( ap @ ( c_2Esum_2EINR @ ty_2Enum_2Enum @ bool ) @ V14a ) ) @ ( ap @ ( c_2Esum_2EINL @ ty_2Enum_2Enum @ bool ) @ ( inj__ty_2Enum_2Enum @ V15j ) ) ) ) ) ) ) ) )
% 5.55/5.85 & ! [V16v: $i] :
% 5.55/5.85 ( ( mem @ V16v @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.55/5.85 => ! [V17n: tp__ty_2Enum_2Enum,V18conn: $i] :
% 5.55/5.85 ( ( mem @ V18conn @ ( arr @ bool @ ( arr @ bool @ bool ) ) )
% 5.55/5.85 => ! [V19a: $i] :
% 5.55/5.85 ( ( mem @ V19a @ bool )
% 5.55/5.85 => ! [V20b: $i] :
% 5.55/5.85 ( ( mem @ V20b @ bool )
% 5.55/5.85 => ( p @ ( ap @ ( ap @ ( ap @ V0P @ V16v ) @ ( inj__ty_2Enum_2Enum @ V17n ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( arr @ bool @ ( arr @ bool @ bool ) ) @ ( ty_2Epair_2Eprod @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) ) ) @ V18conn ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) ) @ ( ap @ ( c_2Esum_2EINR @ ty_2Enum_2Enum @ bool ) @ V19a ) ) @ ( ap @ ( c_2Esum_2EINR @ ty_2Enum_2Enum @ bool ) @ V20b ) ) ) ) ) ) ) ) ) )
% 5.55/5.85 => ! [V21v: $i] :
% 5.55/5.85 ( ( mem @ V21v @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.55/5.85 => ! [V22v1: tp__ty_2Enum_2Enum,V23v2: $i] :
% 5.55/5.85 ( ( mem @ V23v2 @ ( arr @ bool @ ( arr @ bool @ bool ) ) )
% 5.55/5.85 => ! [V24v3: tp__c_ty_2Esum_2Esum_ty_2Enum_2Enum_o,V25v4: tp__c_ty_2Esum_2Esum_ty_2Enum_2Enum_o] : ( p @ ( ap @ ( ap @ ( ap @ V0P @ V21v ) @ ( inj__ty_2Enum_2Enum @ V22v1 ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( arr @ bool @ ( arr @ bool @ bool ) ) @ ( ty_2Epair_2Eprod @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) ) ) @ V23v2 ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) ) @ ( inj__c_ty_2Esum_2Esum_ty_2Enum_2Enum_o @ V24v3 ) ) @ ( inj__c_ty_2Esum_2Esum_ty_2Enum_2Enum_o @ V25v4 ) ) ) ) ) ) ) ) ) ).
% 5.55/5.85
% 5.55/5.85 thf(conj_thm_2EdefCNF_2EUNIQUE__def,axiom,
% 5.55/5.85 ! [V0v: $i] :
% 5.55/5.85 ( ( mem @ V0v @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.55/5.85 => ! [V1n: tp__ty_2Enum_2Enum,V2conn: $i] :
% 5.55/5.85 ( ( mem @ V2conn @ ( arr @ bool @ ( arr @ bool @ bool ) ) )
% 5.55/5.85 => ! [V3i: tp__ty_2Enum_2Enum,V4j: tp__ty_2Enum_2Enum,V5b: $i] :
% 5.64/5.85 ( ( mem @ V5b @ bool )
% 5.64/5.85 => ! [V6a: $i] :
% 5.64/5.85 ( ( mem @ V6a @ bool )
% 5.64/5.85 => ( ( ( p @ ( ap @ ( ap @ ( ap @ c_2EdefCNF_2EUNIQUE @ V0v ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( arr @ bool @ ( arr @ bool @ bool ) ) @ ( ty_2Epair_2Eprod @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) ) ) @ V2conn ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) ) @ ( ap @ ( c_2Esum_2EINL @ ty_2Enum_2Enum @ bool ) @ ( inj__ty_2Enum_2Enum @ V3i ) ) ) @ ( ap @ ( c_2Esum_2EINL @ ty_2Enum_2Enum @ bool ) @ ( inj__ty_2Enum_2Enum @ V4j ) ) ) ) ) )
% 5.64/5.85 <=> ( ( p @ ( ap @ V0v @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.64/5.85 <=> ( p @ ( ap @ ( ap @ V2conn @ ( ap @ V0v @ ( inj__ty_2Enum_2Enum @ V3i ) ) ) @ ( ap @ V0v @ ( inj__ty_2Enum_2Enum @ V4j ) ) ) ) ) )
% 5.64/5.85 & ( ( p @ ( ap @ ( ap @ ( ap @ c_2EdefCNF_2EUNIQUE @ V0v ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( arr @ bool @ ( arr @ bool @ bool ) ) @ ( ty_2Epair_2Eprod @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) ) ) @ V2conn ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) ) @ ( ap @ ( c_2Esum_2EINL @ ty_2Enum_2Enum @ bool ) @ ( inj__ty_2Enum_2Enum @ V3i ) ) ) @ ( ap @ ( c_2Esum_2EINR @ ty_2Enum_2Enum @ bool ) @ V5b ) ) ) ) )
% 5.64/5.85 <=> ( ( p @ ( ap @ V0v @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.64/5.85 <=> ( p @ ( ap @ ( ap @ V2conn @ ( ap @ V0v @ ( inj__ty_2Enum_2Enum @ V3i ) ) ) @ V5b ) ) ) )
% 5.64/5.85 & ( ( p @ ( ap @ ( ap @ ( ap @ c_2EdefCNF_2EUNIQUE @ V0v ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( arr @ bool @ ( arr @ bool @ bool ) ) @ ( ty_2Epair_2Eprod @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) ) ) @ V2conn ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) ) @ ( ap @ ( c_2Esum_2EINR @ ty_2Enum_2Enum @ bool ) @ V6a ) ) @ ( ap @ ( c_2Esum_2EINL @ ty_2Enum_2Enum @ bool ) @ ( inj__ty_2Enum_2Enum @ V4j ) ) ) ) ) )
% 5.64/5.85 <=> ( ( p @ ( ap @ V0v @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.64/5.85 <=> ( p @ ( ap @ ( ap @ V2conn @ V6a ) @ ( ap @ V0v @ ( inj__ty_2Enum_2Enum @ V4j ) ) ) ) ) )
% 5.64/5.85 & ( ( p @ ( ap @ ( ap @ ( ap @ c_2EdefCNF_2EUNIQUE @ V0v ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( arr @ bool @ ( arr @ bool @ bool ) ) @ ( ty_2Epair_2Eprod @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) ) ) @ V2conn ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) ) @ ( ap @ ( c_2Esum_2EINR @ ty_2Enum_2Enum @ bool ) @ V6a ) ) @ ( ap @ ( c_2Esum_2EINR @ ty_2Enum_2Enum @ bool ) @ V5b ) ) ) ) )
% 5.64/5.85 <=> ( ( p @ ( ap @ V0v @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.64/5.85 <=> ( p @ ( ap @ ( ap @ V2conn @ V6a ) @ V5b ) ) ) ) ) ) ) ) ) ).
% 5.64/5.85
% 5.64/5.85 thf(ax_thm_2EdefCNF_2EDEF__def,axiom,
% 5.64/5.85 ( ! [V0v: $i] :
% 5.64/5.85 ( ( mem @ V0v @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.85 => ! [V1n: tp__ty_2Enum_2Enum] :
% 5.64/5.85 ( ( p @ ( ap @ ( ap @ ( ap @ c_2EdefCNF_2EDEF @ V0v ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( c_2Elist_2ENIL @ ( ty_2Epair_2Eprod @ ( arr @ bool @ ( arr @ bool @ bool ) ) @ ( ty_2Epair_2Eprod @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) ) ) ) ) )
% 5.64/5.85 <=> $true ) )
% 5.64/5.85 & ! [V2v: $i] :
% 5.64/5.85 ( ( mem @ V2v @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.85 => ! [V3n: tp__ty_2Enum_2Enum,V4x: $i] :
% 5.64/5.85 ( ( mem @ V4x @ ( ty_2Epair_2Eprod @ ( arr @ bool @ ( arr @ bool @ bool ) ) @ ( ty_2Epair_2Eprod @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) ) ) )
% 5.64/5.85 => ! [V5xs: $i] :
% 5.64/5.85 ( ( mem @ V5xs @ ( ty_2Elist_2Elist @ ( ty_2Epair_2Eprod @ ( arr @ bool @ ( arr @ bool @ bool ) ) @ ( ty_2Epair_2Eprod @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) ) ) ) )
% 5.64/5.85 => ( ( p @ ( ap @ ( ap @ ( ap @ c_2EdefCNF_2EDEF @ V2v ) @ ( inj__ty_2Enum_2Enum @ V3n ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ( ty_2Epair_2Eprod @ ( arr @ bool @ ( arr @ bool @ bool ) ) @ ( ty_2Epair_2Eprod @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) ) ) ) @ V4x ) @ V5xs ) ) )
% 5.64/5.85 <=> ( ( p @ ( ap @ ( ap @ ( ap @ c_2EdefCNF_2EUNIQUE @ V2v ) @ ( inj__ty_2Enum_2Enum @ V3n ) ) @ V4x ) )
% 5.64/5.85 & ( p @ ( ap @ ( ap @ ( ap @ c_2EdefCNF_2EDEF @ V2v ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) @ V5xs ) ) ) ) ) ) ) ) ).
% 5.64/5.85
% 5.64/5.85 thf(conj_thm_2EdefCNF_2EOK__ind,axiom,
% 5.64/5.85 ! [V0P: $i] :
% 5.64/5.85 ( ( mem @ V0P @ ( arr @ ty_2Enum_2Enum @ ( arr @ ( ty_2Epair_2Eprod @ ( arr @ bool @ ( arr @ bool @ bool ) ) @ ( ty_2Epair_2Eprod @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) ) ) @ bool ) ) )
% 5.64/5.85 => ( ( ! [V1n: tp__ty_2Enum_2Enum,V2conn: $i] :
% 5.64/5.85 ( ( mem @ V2conn @ ( arr @ bool @ ( arr @ bool @ bool ) ) )
% 5.64/5.85 => ! [V3i: tp__ty_2Enum_2Enum,V4j: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ V0P @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( arr @ bool @ ( arr @ bool @ bool ) ) @ ( ty_2Epair_2Eprod @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) ) ) @ V2conn ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) ) @ ( ap @ ( c_2Esum_2EINL @ ty_2Enum_2Enum @ bool ) @ ( inj__ty_2Enum_2Enum @ V3i ) ) ) @ ( ap @ ( c_2Esum_2EINL @ ty_2Enum_2Enum @ bool ) @ ( inj__ty_2Enum_2Enum @ V4j ) ) ) ) ) ) )
% 5.64/5.85 & ! [V5n: tp__ty_2Enum_2Enum,V6conn: $i] :
% 5.64/5.85 ( ( mem @ V6conn @ ( arr @ bool @ ( arr @ bool @ bool ) ) )
% 5.64/5.85 => ! [V7i: tp__ty_2Enum_2Enum,V8b: $i] :
% 5.64/5.85 ( ( mem @ V8b @ bool )
% 5.64/5.85 => ( p @ ( ap @ ( ap @ V0P @ ( inj__ty_2Enum_2Enum @ V5n ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( arr @ bool @ ( arr @ bool @ bool ) ) @ ( ty_2Epair_2Eprod @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) ) ) @ V6conn ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) ) @ ( ap @ ( c_2Esum_2EINL @ ty_2Enum_2Enum @ bool ) @ ( inj__ty_2Enum_2Enum @ V7i ) ) ) @ ( ap @ ( c_2Esum_2EINR @ ty_2Enum_2Enum @ bool ) @ V8b ) ) ) ) ) ) )
% 5.64/5.85 & ! [V9n: tp__ty_2Enum_2Enum,V10conn: $i] :
% 5.64/5.85 ( ( mem @ V10conn @ ( arr @ bool @ ( arr @ bool @ bool ) ) )
% 5.64/5.85 => ! [V11a: $i] :
% 5.64/5.85 ( ( mem @ V11a @ bool )
% 5.64/5.85 => ! [V12j: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ V0P @ ( inj__ty_2Enum_2Enum @ V9n ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( arr @ bool @ ( arr @ bool @ bool ) ) @ ( ty_2Epair_2Eprod @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) ) ) @ V10conn ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) ) @ ( ap @ ( c_2Esum_2EINR @ ty_2Enum_2Enum @ bool ) @ V11a ) ) @ ( ap @ ( c_2Esum_2EINL @ ty_2Enum_2Enum @ bool ) @ ( inj__ty_2Enum_2Enum @ V12j ) ) ) ) ) ) ) )
% 5.64/5.85 & ! [V13n: tp__ty_2Enum_2Enum,V14conn: $i] :
% 5.64/5.85 ( ( mem @ V14conn @ ( arr @ bool @ ( arr @ bool @ bool ) ) )
% 5.64/5.85 => ! [V15a: $i] :
% 5.64/5.85 ( ( mem @ V15a @ bool )
% 5.64/5.85 => ! [V16b: $i] :
% 5.64/5.85 ( ( mem @ V16b @ bool )
% 5.64/5.85 => ( p @ ( ap @ ( ap @ V0P @ ( inj__ty_2Enum_2Enum @ V13n ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( arr @ bool @ ( arr @ bool @ bool ) ) @ ( ty_2Epair_2Eprod @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) ) ) @ V14conn ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) ) @ ( ap @ ( c_2Esum_2EINR @ ty_2Enum_2Enum @ bool ) @ V15a ) ) @ ( ap @ ( c_2Esum_2EINR @ ty_2Enum_2Enum @ bool ) @ V16b ) ) ) ) ) ) ) ) )
% 5.64/5.85 => ! [V17v: tp__ty_2Enum_2Enum,V18v1: $i] :
% 5.64/5.85 ( ( mem @ V18v1 @ ( arr @ bool @ ( arr @ bool @ bool ) ) )
% 5.64/5.85 => ! [V19v2: tp__c_ty_2Esum_2Esum_ty_2Enum_2Enum_o,V20v3: tp__c_ty_2Esum_2Esum_ty_2Enum_2Enum_o] : ( p @ ( ap @ ( ap @ V0P @ ( inj__ty_2Enum_2Enum @ V17v ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( arr @ bool @ ( arr @ bool @ bool ) ) @ ( ty_2Epair_2Eprod @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) ) ) @ V18v1 ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) ) @ ( inj__c_ty_2Esum_2Esum_ty_2Enum_2Enum_o @ V19v2 ) ) @ ( inj__c_ty_2Esum_2Esum_ty_2Enum_2Enum_o @ V20v3 ) ) ) ) ) ) ) ) ).
% 5.64/5.85
% 5.64/5.85 thf(conj_thm_2EdefCNF_2EOK__def,axiom,
% 5.64/5.85 ! [V0n: tp__ty_2Enum_2Enum,V1conn: $i] :
% 5.64/5.85 ( ( mem @ V1conn @ ( arr @ bool @ ( arr @ bool @ bool ) ) )
% 5.64/5.85 => ! [V2i: tp__ty_2Enum_2Enum,V3j: tp__ty_2Enum_2Enum,V4b: $i] :
% 5.64/5.85 ( ( mem @ V4b @ bool )
% 5.64/5.85 => ! [V5a: $i] :
% 5.64/5.85 ( ( mem @ V5a @ bool )
% 5.64/5.85 => ( ( ( p @ ( ap @ ( ap @ c_2EdefCNF_2EOK @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( arr @ bool @ ( arr @ bool @ bool ) ) @ ( ty_2Epair_2Eprod @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) ) ) @ V1conn ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) ) @ ( ap @ ( c_2Esum_2EINL @ ty_2Enum_2Enum @ bool ) @ ( inj__ty_2Enum_2Enum @ V2i ) ) ) @ ( ap @ ( c_2Esum_2EINL @ ty_2Enum_2Enum @ bool ) @ ( inj__ty_2Enum_2Enum @ V3j ) ) ) ) ) )
% 5.64/5.85 <=> ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V2i ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.64/5.85 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V3j ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) )
% 5.64/5.85 & ( ( p @ ( ap @ ( ap @ c_2EdefCNF_2EOK @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( arr @ bool @ ( arr @ bool @ bool ) ) @ ( ty_2Epair_2Eprod @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) ) ) @ V1conn ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) ) @ ( ap @ ( c_2Esum_2EINL @ ty_2Enum_2Enum @ bool ) @ ( inj__ty_2Enum_2Enum @ V2i ) ) ) @ ( ap @ ( c_2Esum_2EINR @ ty_2Enum_2Enum @ bool ) @ V4b ) ) ) ) )
% 5.64/5.85 <=> ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V2i ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) )
% 5.64/5.85 & ( ( p @ ( ap @ ( ap @ c_2EdefCNF_2EOK @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( arr @ bool @ ( arr @ bool @ bool ) ) @ ( ty_2Epair_2Eprod @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) ) ) @ V1conn ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) ) @ ( ap @ ( c_2Esum_2EINR @ ty_2Enum_2Enum @ bool ) @ V5a ) ) @ ( ap @ ( c_2Esum_2EINL @ ty_2Enum_2Enum @ bool ) @ ( inj__ty_2Enum_2Enum @ V3j ) ) ) ) ) )
% 5.64/5.85 <=> ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V3j ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) )
% 5.64/5.85 & ( ( p @ ( ap @ ( ap @ c_2EdefCNF_2EOK @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( arr @ bool @ ( arr @ bool @ bool ) ) @ ( ty_2Epair_2Eprod @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) ) ) @ V1conn ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) ) @ ( ap @ ( c_2Esum_2EINR @ ty_2Enum_2Enum @ bool ) @ V5a ) ) @ ( ap @ ( c_2Esum_2EINR @ ty_2Enum_2Enum @ bool ) @ V4b ) ) ) ) )
% 5.64/5.85 <=> $true ) ) ) ) ) ).
% 5.64/5.85
% 5.64/5.85 thf(ax_thm_2EdefCNF_2EOKDEF__def,axiom,
% 5.64/5.85 ( ! [V0n: tp__ty_2Enum_2Enum] :
% 5.64/5.85 ( ( p @ ( ap @ ( ap @ c_2EdefCNF_2EOKDEF @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( c_2Elist_2ENIL @ ( ty_2Epair_2Eprod @ ( arr @ bool @ ( arr @ bool @ bool ) ) @ ( ty_2Epair_2Eprod @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) ) ) ) ) )
% 5.64/5.85 <=> $true )
% 5.64/5.85 & ! [V1n: tp__ty_2Enum_2Enum,V2x: $i] :
% 5.64/5.85 ( ( mem @ V2x @ ( ty_2Epair_2Eprod @ ( arr @ bool @ ( arr @ bool @ bool ) ) @ ( ty_2Epair_2Eprod @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) ) ) )
% 5.64/5.85 => ! [V3xs: $i] :
% 5.64/5.85 ( ( mem @ V3xs @ ( ty_2Elist_2Elist @ ( ty_2Epair_2Eprod @ ( arr @ bool @ ( arr @ bool @ bool ) ) @ ( ty_2Epair_2Eprod @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) ) ) ) )
% 5.64/5.85 => ( ( p @ ( ap @ ( ap @ c_2EdefCNF_2EOKDEF @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ( ty_2Epair_2Eprod @ ( arr @ bool @ ( arr @ bool @ bool ) ) @ ( ty_2Epair_2Eprod @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) ) ) ) @ V2x ) @ V3xs ) ) )
% 5.64/5.85 <=> ( ( p @ ( ap @ ( ap @ c_2EdefCNF_2EOK @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ V2x ) )
% 5.64/5.85 & ( p @ ( ap @ ( ap @ c_2EdefCNF_2EOKDEF @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ V3xs ) ) ) ) ) ) ) ).
% 5.64/5.85
% 5.64/5.85 thf(conj_thm_2EdefCNF_2EDEF__SNOC,axiom,
% 5.64/5.85 ! [V0n: tp__ty_2Enum_2Enum,V1x: $i] :
% 5.64/5.85 ( ( mem @ V1x @ ( ty_2Epair_2Eprod @ ( arr @ bool @ ( arr @ bool @ bool ) ) @ ( ty_2Epair_2Eprod @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) ) ) )
% 5.64/5.85 => ! [V2l: $i] :
% 5.64/5.85 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ ( ty_2Epair_2Eprod @ ( arr @ bool @ ( arr @ bool @ bool ) ) @ ( ty_2Epair_2Eprod @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) ) ) ) )
% 5.64/5.85 => ! [V3v: $i] :
% 5.64/5.85 ( ( mem @ V3v @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.85 => ( ( p @ ( ap @ ( ap @ ( ap @ c_2EdefCNF_2EDEF @ V3v ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( ap @ ( c_2Elist_2ESNOC @ ( ty_2Epair_2Eprod @ ( arr @ bool @ ( arr @ bool @ bool ) ) @ ( ty_2Epair_2Eprod @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) ) ) ) @ V1x ) @ V2l ) ) )
% 5.64/5.85 <=> ( ( p @ ( ap @ ( ap @ ( ap @ c_2EdefCNF_2EDEF @ V3v ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V2l ) )
% 5.64/5.85 & ( p @ ( ap @ ( ap @ ( ap @ c_2EdefCNF_2EUNIQUE @ V3v ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ ( ty_2Epair_2Eprod @ ( arr @ bool @ ( arr @ bool @ bool ) ) @ ( ty_2Epair_2Eprod @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) ) ) ) @ V2l ) ) ) @ V1x ) ) ) ) ) ) ) ).
% 5.64/5.85
% 5.64/5.85 thf(conj_thm_2EdefCNF_2EOKDEF__SNOC,axiom,
% 5.64/5.85 ! [V0n: tp__ty_2Enum_2Enum,V1x: $i] :
% 5.64/5.85 ( ( mem @ V1x @ ( ty_2Epair_2Eprod @ ( arr @ bool @ ( arr @ bool @ bool ) ) @ ( ty_2Epair_2Eprod @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) ) ) )
% 5.64/5.85 => ! [V2l: $i] :
% 5.64/5.85 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ ( ty_2Epair_2Eprod @ ( arr @ bool @ ( arr @ bool @ bool ) ) @ ( ty_2Epair_2Eprod @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) ) ) ) )
% 5.64/5.85 => ( ( p @ ( ap @ ( ap @ c_2EdefCNF_2EOKDEF @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( ap @ ( c_2Elist_2ESNOC @ ( ty_2Epair_2Eprod @ ( arr @ bool @ ( arr @ bool @ bool ) ) @ ( ty_2Epair_2Eprod @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) ) ) ) @ V1x ) @ V2l ) ) )
% 5.64/5.85 <=> ( ( p @ ( ap @ ( ap @ c_2EdefCNF_2EOKDEF @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V2l ) )
% 5.64/5.85 & ( p @ ( ap @ ( ap @ c_2EdefCNF_2EOK @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ ( ty_2Epair_2Eprod @ ( arr @ bool @ ( arr @ bool @ bool ) ) @ ( ty_2Epair_2Eprod @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) ) ) ) @ V2l ) ) ) @ V1x ) ) ) ) ) ) ).
% 5.64/5.85
% 5.64/5.85 thf(conj_thm_2EdefCNF_2ECONSISTENCY,axiom,
% 5.64/5.85 ! [V0n: tp__ty_2Enum_2Enum,V1l: $i] :
% 5.64/5.85 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ ( ty_2Epair_2Eprod @ ( arr @ bool @ ( arr @ bool @ bool ) ) @ ( ty_2Epair_2Eprod @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) ) ) ) )
% 5.64/5.85 => ( ( p @ ( ap @ ( ap @ c_2EdefCNF_2EOKDEF @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1l ) )
% 5.64/5.85 => ? [V2v: $i] :
% 5.64/5.85 ( ( mem @ V2v @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.85 & ( p @ ( ap @ ( ap @ ( ap @ c_2EdefCNF_2EDEF @ V2v ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1l ) ) ) ) ) ).
% 5.64/5.85
% 5.64/5.85 thf(conj_thm_2EdefCNF_2EBIGSTEP,axiom,
% 5.64/5.85 ! [V0P: $i] :
% 5.64/5.85 ( ( mem @ V0P @ ( arr @ ( arr @ ty_2Enum_2Enum @ bool ) @ bool ) )
% 5.64/5.85 => ! [V1Q: $i] :
% 5.64/5.85 ( ( mem @ V1Q @ bool )
% 5.64/5.85 => ! [V2R: $i] :
% 5.64/5.85 ( ( mem @ V2R @ ( arr @ ( arr @ ty_2Enum_2Enum @ bool ) @ bool ) )
% 5.64/5.85 => ( ! [V3v: $i] :
% 5.64/5.85 ( ( mem @ V3v @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.85 => ( ( p @ ( ap @ V0P @ V3v ) )
% 5.64/5.85 => ( ( p @ V1Q )
% 5.64/5.85 <=> ( p @ ( ap @ V2R @ V3v ) ) ) ) )
% 5.64/5.85 => ( ( ? [V4v: $i] :
% 5.64/5.85 ( ( mem @ V4v @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.85 & ( p @ ( ap @ V0P @ V4v ) ) )
% 5.64/5.85 & ( p @ V1Q ) )
% 5.64/5.85 <=> ? [V5v: $i] :
% 5.64/5.85 ( ( mem @ V5v @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.85 & ( p @ ( ap @ V0P @ V5v ) )
% 5.64/5.85 & ( p @ ( ap @ V2R @ V5v ) ) ) ) ) ) ) ) ).
% 5.64/5.85
% 5.64/5.85 thf(conj_thm_2EdefCNF_2EFINAL__DEF,axiom,
% 5.64/5.85 ! [V0v: $i] :
% 5.64/5.85 ( ( mem @ V0v @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.85 => ! [V1n: tp__ty_2Enum_2Enum,V2x: $i] :
% 5.64/5.85 ( ( mem @ V2x @ bool )
% 5.64/5.85 => ( ( ( p @ ( ap @ V0v @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.64/5.86 <=> ( p @ V2x ) )
% 5.64/5.86 <=> ( ( ( p @ ( ap @ V0v @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.64/5.86 <=> ( p @ V2x ) )
% 5.64/5.86 & ( p @ ( ap @ ( ap @ ( ap @ c_2EdefCNF_2EDEF @ V0v ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ ( c_2Elist_2ENIL @ ( ty_2Epair_2Eprod @ ( arr @ bool @ ( arr @ bool @ bool ) ) @ ( ty_2Epair_2Eprod @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ bool ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 %------------------------------------------------------------------------------
% 5.64/5.86 %------------------------------------------------------------------------------
% 5.64/5.86 thf(tp_c_2Enumposrep_2EBOOLIFY,type,
% 5.64/5.86 c_2Enumposrep_2EBOOLIFY: $i ).
% 5.64/5.86
% 5.64/5.86 thf(mem_c_2Enumposrep_2EBOOLIFY,axiom,
% 5.64/5.86 mem @ c_2Enumposrep_2EBOOLIFY @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( arr @ ( ty_2Elist_2Elist @ bool ) @ ( ty_2Elist_2Elist @ bool ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(tp_c_2Enumposrep_2El2n,type,
% 5.64/5.86 c_2Enumposrep_2El2n: $i ).
% 5.64/5.86
% 5.64/5.86 thf(mem_c_2Enumposrep_2El2n,axiom,
% 5.64/5.86 mem @ c_2Enumposrep_2El2n @ ( arr @ ty_2Enum_2Enum @ ( arr @ ( ty_2Elist_2Elist @ ty_2Enum_2Enum ) @ ty_2Enum_2Enum ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(stp_fo_c_2Enumposrep_2El2n,type,
% 5.64/5.86 fo__c_2Enumposrep_2El2n: tp__ty_2Enum_2Enum > tp__c_ty_2Elist_2Elist_ty_2Enum_2Enum > tp__ty_2Enum_2Enum ).
% 5.64/5.86
% 5.64/5.86 thf(stp_eq_fo_c_2Enumposrep_2El2n,axiom,
% 5.64/5.86 ! [X0: tp__ty_2Enum_2Enum,X1: tp__c_ty_2Elist_2Elist_ty_2Enum_2Enum] :
% 5.64/5.86 ( ( inj__ty_2Enum_2Enum @ ( fo__c_2Enumposrep_2El2n @ X0 @ X1 ) )
% 5.64/5.86 = ( ap @ ( ap @ c_2Enumposrep_2El2n @ ( inj__ty_2Enum_2Enum @ X0 ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ X1 ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(tp_c_2Enumposrep_2El2n2,type,
% 5.64/5.86 c_2Enumposrep_2El2n2: $i ).
% 5.64/5.86
% 5.64/5.86 thf(mem_c_2Enumposrep_2El2n2,axiom,
% 5.64/5.86 mem @ c_2Enumposrep_2El2n2 @ ( arr @ ( ty_2Elist_2Elist @ ty_2Enum_2Enum ) @ ty_2Enum_2Enum ) ).
% 5.64/5.86
% 5.64/5.86 thf(stp_fo_c_2Enumposrep_2El2n2,type,
% 5.64/5.86 fo__c_2Enumposrep_2El2n2: tp__c_ty_2Elist_2Elist_ty_2Enum_2Enum > tp__ty_2Enum_2Enum ).
% 5.64/5.86
% 5.64/5.86 thf(stp_eq_fo_c_2Enumposrep_2El2n2,axiom,
% 5.64/5.86 ! [X0: tp__c_ty_2Elist_2Elist_ty_2Enum_2Enum] :
% 5.64/5.86 ( ( inj__ty_2Enum_2Enum @ ( fo__c_2Enumposrep_2El2n2 @ X0 ) )
% 5.64/5.86 = ( ap @ c_2Enumposrep_2El2n2 @ ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ X0 ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(tp_c_2Enumposrep_2En2l,type,
% 5.64/5.86 c_2Enumposrep_2En2l: $i ).
% 5.64/5.86
% 5.64/5.86 thf(mem_c_2Enumposrep_2En2l,axiom,
% 5.64/5.86 mem @ c_2Enumposrep_2En2l @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ ty_2Enum_2Enum ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(tp_c_2Enumposrep_2Enum__from__bin__list,type,
% 5.64/5.86 c_2Enumposrep_2Enum__from__bin__list: $i ).
% 5.64/5.86
% 5.64/5.86 thf(mem_c_2Enumposrep_2Enum__from__bin__list,axiom,
% 5.64/5.86 mem @ c_2Enumposrep_2Enum__from__bin__list @ ( arr @ ( ty_2Elist_2Elist @ ty_2Enum_2Enum ) @ ty_2Enum_2Enum ) ).
% 5.64/5.86
% 5.64/5.86 thf(stp_fo_c_2Enumposrep_2Enum__from__bin__list,type,
% 5.64/5.86 fo__c_2Enumposrep_2Enum__from__bin__list: tp__c_ty_2Elist_2Elist_ty_2Enum_2Enum > tp__ty_2Enum_2Enum ).
% 5.64/5.86
% 5.64/5.86 thf(stp_eq_fo_c_2Enumposrep_2Enum__from__bin__list,axiom,
% 5.64/5.86 ! [X0: tp__c_ty_2Elist_2Elist_ty_2Enum_2Enum] :
% 5.64/5.86 ( ( inj__ty_2Enum_2Enum @ ( fo__c_2Enumposrep_2Enum__from__bin__list @ X0 ) )
% 5.64/5.86 = ( ap @ c_2Enumposrep_2Enum__from__bin__list @ ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ X0 ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(tp_c_2Enumposrep_2Enum__from__dec__list,type,
% 5.64/5.86 c_2Enumposrep_2Enum__from__dec__list: $i ).
% 5.64/5.86
% 5.64/5.86 thf(mem_c_2Enumposrep_2Enum__from__dec__list,axiom,
% 5.64/5.86 mem @ c_2Enumposrep_2Enum__from__dec__list @ ( arr @ ( ty_2Elist_2Elist @ ty_2Enum_2Enum ) @ ty_2Enum_2Enum ) ).
% 5.64/5.86
% 5.64/5.86 thf(stp_fo_c_2Enumposrep_2Enum__from__dec__list,type,
% 5.64/5.86 fo__c_2Enumposrep_2Enum__from__dec__list: tp__c_ty_2Elist_2Elist_ty_2Enum_2Enum > tp__ty_2Enum_2Enum ).
% 5.64/5.86
% 5.64/5.86 thf(stp_eq_fo_c_2Enumposrep_2Enum__from__dec__list,axiom,
% 5.64/5.86 ! [X0: tp__c_ty_2Elist_2Elist_ty_2Enum_2Enum] :
% 5.64/5.86 ( ( inj__ty_2Enum_2Enum @ ( fo__c_2Enumposrep_2Enum__from__dec__list @ X0 ) )
% 5.64/5.86 = ( ap @ c_2Enumposrep_2Enum__from__dec__list @ ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ X0 ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(tp_c_2Enumposrep_2Enum__from__hex__list,type,
% 5.64/5.86 c_2Enumposrep_2Enum__from__hex__list: $i ).
% 5.64/5.86
% 5.64/5.86 thf(mem_c_2Enumposrep_2Enum__from__hex__list,axiom,
% 5.64/5.86 mem @ c_2Enumposrep_2Enum__from__hex__list @ ( arr @ ( ty_2Elist_2Elist @ ty_2Enum_2Enum ) @ ty_2Enum_2Enum ) ).
% 5.64/5.86
% 5.64/5.86 thf(stp_fo_c_2Enumposrep_2Enum__from__hex__list,type,
% 5.64/5.86 fo__c_2Enumposrep_2Enum__from__hex__list: tp__c_ty_2Elist_2Elist_ty_2Enum_2Enum > tp__ty_2Enum_2Enum ).
% 5.64/5.86
% 5.64/5.86 thf(stp_eq_fo_c_2Enumposrep_2Enum__from__hex__list,axiom,
% 5.64/5.86 ! [X0: tp__c_ty_2Elist_2Elist_ty_2Enum_2Enum] :
% 5.64/5.86 ( ( inj__ty_2Enum_2Enum @ ( fo__c_2Enumposrep_2Enum__from__hex__list @ X0 ) )
% 5.64/5.86 = ( ap @ c_2Enumposrep_2Enum__from__hex__list @ ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ X0 ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(tp_c_2Enumposrep_2Enum__from__oct__list,type,
% 5.64/5.86 c_2Enumposrep_2Enum__from__oct__list: $i ).
% 5.64/5.86
% 5.64/5.86 thf(mem_c_2Enumposrep_2Enum__from__oct__list,axiom,
% 5.64/5.86 mem @ c_2Enumposrep_2Enum__from__oct__list @ ( arr @ ( ty_2Elist_2Elist @ ty_2Enum_2Enum ) @ ty_2Enum_2Enum ) ).
% 5.64/5.86
% 5.64/5.86 thf(stp_fo_c_2Enumposrep_2Enum__from__oct__list,type,
% 5.64/5.86 fo__c_2Enumposrep_2Enum__from__oct__list: tp__c_ty_2Elist_2Elist_ty_2Enum_2Enum > tp__ty_2Enum_2Enum ).
% 5.64/5.86
% 5.64/5.86 thf(stp_eq_fo_c_2Enumposrep_2Enum__from__oct__list,axiom,
% 5.64/5.86 ! [X0: tp__c_ty_2Elist_2Elist_ty_2Enum_2Enum] :
% 5.64/5.86 ( ( inj__ty_2Enum_2Enum @ ( fo__c_2Enumposrep_2Enum__from__oct__list @ X0 ) )
% 5.64/5.86 = ( ap @ c_2Enumposrep_2Enum__from__oct__list @ ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ X0 ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(tp_c_2Enumposrep_2Enum__to__bin__list,type,
% 5.64/5.86 c_2Enumposrep_2Enum__to__bin__list: $i ).
% 5.64/5.86
% 5.64/5.86 thf(mem_c_2Enumposrep_2Enum__to__bin__list,axiom,
% 5.64/5.86 mem @ c_2Enumposrep_2Enum__to__bin__list @ ( arr @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ ty_2Enum_2Enum ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(tp_c_2Enumposrep_2Enum__to__dec__list,type,
% 5.64/5.86 c_2Enumposrep_2Enum__to__dec__list: $i ).
% 5.64/5.86
% 5.64/5.86 thf(mem_c_2Enumposrep_2Enum__to__dec__list,axiom,
% 5.64/5.86 mem @ c_2Enumposrep_2Enum__to__dec__list @ ( arr @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ ty_2Enum_2Enum ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(tp_c_2Enumposrep_2Enum__to__hex__list,type,
% 5.64/5.86 c_2Enumposrep_2Enum__to__hex__list: $i ).
% 5.64/5.86
% 5.64/5.86 thf(mem_c_2Enumposrep_2Enum__to__hex__list,axiom,
% 5.64/5.86 mem @ c_2Enumposrep_2Enum__to__hex__list @ ( arr @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ ty_2Enum_2Enum ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(tp_c_2Enumposrep_2Enum__to__oct__list,type,
% 5.64/5.86 c_2Enumposrep_2Enum__to__oct__list: $i ).
% 5.64/5.86
% 5.64/5.86 thf(mem_c_2Enumposrep_2Enum__to__oct__list,axiom,
% 5.64/5.86 mem @ c_2Enumposrep_2Enum__to__oct__list @ ( arr @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ ty_2Enum_2Enum ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(ax_thm_2Enumposrep_2El2n__def,axiom,
% 5.64/5.86 ( ! [V0b: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Enumposrep_2El2n @ ( inj__ty_2Enum_2Enum @ V0b ) ) @ ( c_2Elist_2ENIL @ ty_2Enum_2Enum ) ) )
% 5.64/5.86 = fo__c_2Enum_2E0 )
% 5.64/5.86 & ! [V1b: tp__ty_2Enum_2Enum,V2h: tp__ty_2Enum_2Enum,V3t: tp__c_ty_2Elist_2Elist_ty_2Enum_2Enum] :
% 5.64/5.86 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Enumposrep_2El2n @ ( inj__ty_2Enum_2Enum @ V1b ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V2h ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ V3t ) ) ) )
% 5.64/5.86 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V2h ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V1b ) ) @ ( ap @ ( ap @ c_2Enumposrep_2El2n @ ( inj__ty_2Enum_2Enum @ V1b ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ V3t ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2Enumposrep_2En2l__ind,axiom,
% 5.64/5.86 ! [V0P: $i] :
% 5.64/5.86 ( ( mem @ V0P @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ bool ) ) )
% 5.64/5.86 => ( ! [V1b: tp__ty_2Enum_2Enum,V2n: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( ~ ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) )
% 5.64/5.86 | ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1b ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.64/5.86 => ( p @ ( ap @ ( ap @ V0P @ ( inj__ty_2Enum_2Enum @ V1b ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) ) ) )
% 5.64/5.86 => ( p @ ( ap @ ( ap @ V0P @ ( inj__ty_2Enum_2Enum @ V1b ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) )
% 5.64/5.86 => ! [V3v: tp__ty_2Enum_2Enum,V4v1: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ V0P @ ( inj__ty_2Enum_2Enum @ V3v ) ) @ ( inj__ty_2Enum_2Enum @ V4v1 ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2Enumposrep_2En2l__def,axiom,
% 5.64/5.86 ! [V0n: tp__ty_2Enum_2Enum,V1b: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( surj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Enumposrep_2En2l @ ( inj__ty_2Enum_2Enum @ V1b ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.64/5.86 = ( surj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Elist_2Elist @ ty_2Enum_2Enum ) ) @ ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) ) @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1b ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) ) @ ( c_2Elist_2ENIL @ ty_2Enum_2Enum ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) ) @ ( ap @ ( ap @ c_2Enumposrep_2En2l @ ( inj__ty_2Enum_2Enum @ V1b ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(ax_thm_2Enumposrep_2Enum__from__bin__list__def,axiom,
% 5.64/5.86 ( c_2Enumposrep_2Enum__from__bin__list
% 5.64/5.86 = ( ap @ c_2Enumposrep_2El2n @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(ax_thm_2Enumposrep_2Enum__from__oct__list__def,axiom,
% 5.64/5.86 ( c_2Enumposrep_2Enum__from__oct__list
% 5.64/5.86 = ( ap @ c_2Enumposrep_2El2n @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(ax_thm_2Enumposrep_2Enum__from__dec__list__def,axiom,
% 5.64/5.86 ( c_2Enumposrep_2Enum__from__dec__list
% 5.64/5.86 = ( ap @ c_2Enumposrep_2El2n @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(ax_thm_2Enumposrep_2Enum__from__hex__list__def,axiom,
% 5.64/5.86 ( c_2Enumposrep_2Enum__from__hex__list
% 5.64/5.86 = ( ap @ c_2Enumposrep_2El2n @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(ax_thm_2Enumposrep_2Enum__to__bin__list__def,axiom,
% 5.64/5.86 ( c_2Enumposrep_2Enum__to__bin__list
% 5.64/5.86 = ( ap @ c_2Enumposrep_2En2l @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(ax_thm_2Enumposrep_2Enum__to__oct__list__def,axiom,
% 5.64/5.86 ( c_2Enumposrep_2Enum__to__oct__list
% 5.64/5.86 = ( ap @ c_2Enumposrep_2En2l @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(ax_thm_2Enumposrep_2Enum__to__dec__list__def,axiom,
% 5.64/5.86 ( c_2Enumposrep_2Enum__to__dec__list
% 5.64/5.86 = ( ap @ c_2Enumposrep_2En2l @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(ax_thm_2Enumposrep_2Enum__to__hex__list__def,axiom,
% 5.64/5.86 ( c_2Enumposrep_2Enum__to__hex__list
% 5.64/5.86 = ( ap @ c_2Enumposrep_2En2l @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(ax_thm_2Enumposrep_2EBOOLIFY__def,axiom,
% 5.64/5.86 ( ! [V0m: tp__ty_2Enum_2Enum,V1a: tp__c_ty_2Elist_2Elist_o] :
% 5.64/5.86 ( ( surj__c_ty_2Elist_2Elist_o @ ( ap @ ( ap @ ( ap @ c_2Enumposrep_2EBOOLIFY @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__c_ty_2Elist_2Elist_o @ V1a ) ) )
% 5.64/5.86 = V1a )
% 5.64/5.86 & ! [V2n: tp__ty_2Enum_2Enum,V3m: tp__ty_2Enum_2Enum,V4a: tp__c_ty_2Elist_2Elist_o] :
% 5.64/5.86 ( ( surj__c_ty_2Elist_2Elist_o @ ( ap @ ( ap @ ( ap @ c_2Enumposrep_2EBOOLIFY @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) @ ( inj__ty_2Enum_2Enum @ V3m ) ) @ ( inj__c_ty_2Elist_2Elist_o @ V4a ) ) )
% 5.64/5.86 = ( surj__c_ty_2Elist_2Elist_o @ ( ap @ ( ap @ ( ap @ c_2Enumposrep_2EBOOLIFY @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( ap @ c_2Earithmetic_2EDIV2 @ ( inj__ty_2Enum_2Enum @ V3m ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ bool ) @ ( ap @ c_2Earithmetic_2EODD @ ( inj__ty_2Enum_2Enum @ V3m ) ) ) @ ( inj__c_ty_2Elist_2Elist_o @ V4a ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2Enumposrep_2ELENGTH__n2l,axiom,
% 5.64/5.86 ! [V0b: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0b ) ) )
% 5.64/5.86 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ c_2Enumposrep_2En2l @ ( inj__ty_2Enum_2Enum @ V0b ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.64/5.86 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ c_2Enum_2ESUC @ ( ap @ ( ap @ c_2Elogroot_2ELOG @ ( inj__ty_2Enum_2Enum @ V0b ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2Enumposrep_2El2n__n2l,axiom,
% 5.64/5.86 ! [V0b: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0b ) ) )
% 5.64/5.86 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Enumposrep_2El2n @ ( inj__ty_2Enum_2Enum @ V0b ) ) @ ( ap @ ( ap @ c_2Enumposrep_2En2l @ ( inj__ty_2Enum_2Enum @ V0b ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.64/5.86 = V1n ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2Enumposrep_2El2n__lt,axiom,
% 5.64/5.86 ! [V0l: tp__c_ty_2Elist_2Elist_ty_2Enum_2Enum,V1b: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) )
% 5.64/5.86 => ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ ( ap @ c_2Enumposrep_2El2n @ ( inj__ty_2Enum_2Enum @ V1b ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ V0l ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( inj__ty_2Enum_2Enum @ V1b ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ ty_2Enum_2Enum ) @ ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ V0l ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2Enumposrep_2ELENGTH__l2n,axiom,
% 5.64/5.86 ! [V0b: tp__ty_2Enum_2Enum,V1l: tp__c_ty_2Elist_2Elist_ty_2Enum_2Enum] :
% 5.64/5.86 ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0b ) ) )
% 5.64/5.86 & ( p @ ( ap @ ( ap @ ( c_2Elist_2EEVERY @ ty_2Enum_2Enum ) @ ( ap @ c_2Earithmetic_2E_3E @ ( inj__ty_2Enum_2Enum @ V0b ) ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ V1l ) ) )
% 5.64/5.86 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Enumposrep_2El2n @ ( inj__ty_2Enum_2Enum @ V0b ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ V1l ) ) )
% 5.64/5.86 != fo__c_2Enum_2E0 ) )
% 5.64/5.86 => ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Enum_2ESUC @ ( ap @ ( ap @ c_2Elogroot_2ELOG @ ( inj__ty_2Enum_2Enum @ V0b ) ) @ ( ap @ ( ap @ c_2Enumposrep_2El2n @ ( inj__ty_2Enum_2Enum @ V0b ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ V1l ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ ty_2Enum_2Enum ) @ ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ V1l ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2Enumposrep_2El2n__DIGIT,axiom,
% 5.64/5.86 ! [V0b: tp__ty_2Enum_2Enum,V1l: tp__c_ty_2Elist_2Elist_ty_2Enum_2Enum,V2x: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0b ) ) )
% 5.64/5.86 & ( p @ ( ap @ ( ap @ ( c_2Elist_2EEVERY @ ty_2Enum_2Enum ) @ ( ap @ c_2Earithmetic_2E_3E @ ( inj__ty_2Enum_2Enum @ V0b ) ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ V1l ) ) )
% 5.64/5.86 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V2x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ ty_2Enum_2Enum ) @ ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ V1l ) ) ) ) )
% 5.64/5.86 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( ap @ ( ap @ c_2Enumposrep_2El2n @ ( inj__ty_2Enum_2Enum @ V0b ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ V1l ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( inj__ty_2Enum_2Enum @ V0b ) ) @ ( inj__ty_2Enum_2Enum @ V2x ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0b ) ) )
% 5.64/5.86 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( c_2Elist_2EEL @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V2x ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ V1l ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2Enumposrep_2EDIV__0__IMP__LT,axiom,
% 5.64/5.86 ! [V0b: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0b ) ) )
% 5.64/5.86 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V0b ) ) )
% 5.64/5.86 = fo__c_2Enum_2E0 ) )
% 5.64/5.86 => ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V0b ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2Enumposrep_2EEL__n2l,axiom,
% 5.64/5.86 ! [V0b: tp__ty_2Enum_2Enum,V1x: tp__ty_2Enum_2Enum,V2n: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0b ) ) )
% 5.64/5.86 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ c_2Enumposrep_2En2l @ ( inj__ty_2Enum_2Enum @ V0b ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) ) )
% 5.64/5.86 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( c_2Elist_2EEL @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( ap @ c_2Enumposrep_2En2l @ ( inj__ty_2Enum_2Enum @ V0b ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) )
% 5.64/5.86 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( inj__ty_2Enum_2Enum @ V0b ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0b ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2Enumposrep_2En2l__l2n,axiom,
% 5.64/5.86 ! [V0b: tp__ty_2Enum_2Enum,V1l: tp__c_ty_2Elist_2Elist_ty_2Enum_2Enum] :
% 5.64/5.86 ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0b ) ) )
% 5.64/5.86 & ( p @ ( ap @ ( ap @ ( c_2Elist_2EEVERY @ ty_2Enum_2Enum ) @ ( ap @ c_2Earithmetic_2E_3E @ ( inj__ty_2Enum_2Enum @ V0b ) ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ V1l ) ) ) )
% 5.64/5.86 => ( ( surj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Enumposrep_2En2l @ ( inj__ty_2Enum_2Enum @ V0b ) ) @ ( ap @ ( ap @ c_2Enumposrep_2El2n @ ( inj__ty_2Enum_2Enum @ V0b ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ V1l ) ) ) )
% 5.64/5.86 = ( surj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Elist_2Elist @ ty_2Enum_2Enum ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ c_2Enumposrep_2El2n @ ( inj__ty_2Enum_2Enum @ V0b ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ V1l ) ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( c_2Elist_2ENIL @ ty_2Enum_2Enum ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ETAKE @ ty_2Enum_2Enum ) @ ( ap @ c_2Enum_2ESUC @ ( ap @ ( ap @ c_2Elogroot_2ELOG @ ( inj__ty_2Enum_2Enum @ V0b ) ) @ ( ap @ ( ap @ c_2Enumposrep_2El2n @ ( inj__ty_2Enum_2Enum @ V0b ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ V1l ) ) ) ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ V1l ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2Enumposrep_2El2n__eq__0,axiom,
% 5.64/5.86 ! [V0b: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0b ) ) )
% 5.64/5.86 => ! [V1l: tp__c_ty_2Elist_2Elist_ty_2Enum_2Enum] :
% 5.64/5.86 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Enumposrep_2El2n @ ( inj__ty_2Enum_2Enum @ V0b ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ V1l ) ) )
% 5.64/5.86 = fo__c_2Enum_2E0 )
% 5.64/5.86 <=> ( p @ ( ap @ ( ap @ ( c_2Elist_2EEVERY @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ty_2Enum_2Enum @ bool @ ty_2Enum_2Enum ) @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) @ ( ap @ ( ap @ ( c_2Ecombin_2EC @ ty_2Enum_2Enum @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ c_2Earithmetic_2EMOD ) @ ( inj__ty_2Enum_2Enum @ V0b ) ) ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ V1l ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2Enumposrep_2El2n__SNOC__0,axiom,
% 5.64/5.86 ! [V0b: tp__ty_2Enum_2Enum,V1ls: tp__c_ty_2Elist_2Elist_ty_2Enum_2Enum] :
% 5.64/5.86 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0b ) ) )
% 5.64/5.86 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Enumposrep_2El2n @ ( inj__ty_2Enum_2Enum @ V0b ) ) @ ( ap @ ( ap @ ( c_2Elist_2ESNOC @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ V1ls ) ) ) )
% 5.64/5.86 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Enumposrep_2El2n @ ( inj__ty_2Enum_2Enum @ V0b ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ V1ls ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2Enumposrep_2ELOG__l2n,axiom,
% 5.64/5.86 ! [V0b: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0b ) ) )
% 5.64/5.86 => ! [V1l: tp__c_ty_2Elist_2Elist_ty_2Enum_2Enum] :
% 5.64/5.86 ( ( ( V1l
% 5.64/5.86 != ( surj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ ( c_2Elist_2ENIL @ ty_2Enum_2Enum ) ) )
% 5.64/5.86 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ ( c_2Elist_2ELAST @ ty_2Enum_2Enum ) @ ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ V1l ) ) ) )
% 5.64/5.86 & ( p @ ( ap @ ( ap @ ( c_2Elist_2EEVERY @ ty_2Enum_2Enum ) @ ( ap @ c_2Earithmetic_2E_3E @ ( inj__ty_2Enum_2Enum @ V0b ) ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ V1l ) ) ) )
% 5.64/5.86 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Elogroot_2ELOG @ ( inj__ty_2Enum_2Enum @ V0b ) ) @ ( ap @ ( ap @ c_2Enumposrep_2El2n @ ( inj__ty_2Enum_2Enum @ V0b ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ V1l ) ) ) )
% 5.64/5.86 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Eprim__rec_2EPRE @ ( ap @ ( c_2Elist_2ELENGTH @ ty_2Enum_2Enum ) @ ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ V1l ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2Enumposrep_2El2n__dropWhile__0,axiom,
% 5.64/5.86 ! [V0b: tp__ty_2Enum_2Enum,V1ls: tp__c_ty_2Elist_2Elist_ty_2Enum_2Enum] :
% 5.64/5.86 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0b ) ) )
% 5.64/5.86 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Enumposrep_2El2n @ ( inj__ty_2Enum_2Enum @ V0b ) ) @ ( ap @ ( c_2Elist_2EREVERSE @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ ( c_2Elist_2EdropWhile @ ty_2Enum_2Enum ) @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) @ ( ap @ ( c_2Elist_2EREVERSE @ ty_2Enum_2Enum ) @ ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ V1ls ) ) ) ) ) )
% 5.64/5.86 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Enumposrep_2El2n @ ( inj__ty_2Enum_2Enum @ V0b ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ V1ls ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2Enumposrep_2ELOG__l2n__dropWhile,axiom,
% 5.64/5.86 ! [V0b: tp__ty_2Enum_2Enum,V1l: tp__c_ty_2Elist_2Elist_ty_2Enum_2Enum] :
% 5.64/5.86 ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0b ) ) )
% 5.64/5.86 & ( p
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap @ ( c_2Elist_2EEXISTS @ ty_2Enum_2Enum )
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V2y: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ V2y ) ) ) )
% 5.64/5.86 @ ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ V1l ) ) )
% 5.64/5.86 & ( p @ ( ap @ ( ap @ ( c_2Elist_2EEVERY @ ty_2Enum_2Enum ) @ ( ap @ c_2Earithmetic_2E_3E @ ( inj__ty_2Enum_2Enum @ V0b ) ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ V1l ) ) ) )
% 5.64/5.86 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Elogroot_2ELOG @ ( inj__ty_2Enum_2Enum @ V0b ) ) @ ( ap @ ( ap @ c_2Enumposrep_2El2n @ ( inj__ty_2Enum_2Enum @ V0b ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ V1l ) ) ) )
% 5.64/5.86 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Eprim__rec_2EPRE @ ( ap @ ( c_2Elist_2ELENGTH @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ ( c_2Elist_2EdropWhile @ ty_2Enum_2Enum ) @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) @ ( ap @ ( c_2Elist_2EREVERSE @ ty_2Enum_2Enum ) @ ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ V1l ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2Enumposrep_2En2l__BOUND,axiom,
% 5.64/5.86 ! [V0b: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0b ) ) )
% 5.64/5.86 => ( p @ ( ap @ ( ap @ ( c_2Elist_2EEVERY @ ty_2Enum_2Enum ) @ ( ap @ c_2Earithmetic_2E_3E @ ( inj__ty_2Enum_2Enum @ V0b ) ) ) @ ( ap @ ( ap @ c_2Enumposrep_2En2l @ ( inj__ty_2Enum_2Enum @ V0b ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2Enumposrep_2El2n__pow2__compute,axiom,
% 5.64/5.86 ( ! [V0p: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Enumposrep_2El2n @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0p ) ) ) @ ( c_2Elist_2ENIL @ ty_2Enum_2Enum ) ) )
% 5.64/5.86 = fo__c_2Enum_2E0 )
% 5.64/5.86 & ! [V1p: tp__ty_2Enum_2Enum,V2h: tp__ty_2Enum_2Enum,V3t: tp__c_ty_2Elist_2Elist_ty_2Enum_2Enum] :
% 5.64/5.86 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Enumposrep_2El2n @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1p ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V2h ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ V3t ) ) ) )
% 5.64/5.86 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ c_2Ebit_2EMOD__2EXP @ ( inj__ty_2Enum_2Enum @ V1p ) ) @ ( inj__ty_2Enum_2Enum @ V2h ) ) ) @ ( ap @ ( ap @ c_2Ebit_2ETIMES__2EXP @ ( inj__ty_2Enum_2Enum @ V1p ) ) @ ( ap @ ( ap @ c_2Enumposrep_2El2n @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1p ) ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ V3t ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2Enumposrep_2En2l__pow2__compute,axiom,
% 5.64/5.86 ! [V0p: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0p ) ) )
% 5.64/5.86 => ( ( surj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Enumposrep_2En2l @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0p ) ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.64/5.86 = ( surj__c_ty_2Elist_2Elist_ty_2Enum_2Enum
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap @ ( c_2Ebool_2ELET @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( ty_2Elist_2Elist @ ty_2Enum_2Enum ) )
% 5.64/5.86 @ ( ap @ ( c_2Epair_2EUNCURRY @ ty_2Enum_2Enum @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ ty_2Enum_2Enum ) )
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V2q: $i] :
% 5.64/5.86 ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V3r: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Elist_2Elist @ ty_2Enum_2Enum ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ V2q ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ty_2Enum_2Enum ) @ V3r ) @ ( c_2Elist_2ENIL @ ty_2Enum_2Enum ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ty_2Enum_2Enum ) @ V3r ) @ ( ap @ ( ap @ c_2Enumposrep_2En2l @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0p ) ) ) @ V2q ) ) ) ) ) ) )
% 5.64/5.86 @ ( ap @ ( ap @ c_2Ebit_2EDIVMOD__2EXP @ ( inj__ty_2Enum_2Enum @ V0p ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(ax_thm_2Enumposrep_2El2n2,axiom,
% 5.64/5.86 ( c_2Enumposrep_2El2n2
% 5.64/5.86 = ( ap @ c_2Enumposrep_2El2n @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2Enumposrep_2El2n__2__thms,axiom,
% 5.64/5.86 ( ! [V0t: tp__c_ty_2Elist_2Elist_ty_2Enum_2Enum] :
% 5.64/5.86 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Enumposrep_2El2n @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ V0t ) ) ) )
% 5.64/5.86 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Enumposrep_2El2n2 @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ V0t ) ) ) ) ) )
% 5.64/5.86 & ! [V1t: tp__c_ty_2Elist_2Elist_ty_2Enum_2Enum] :
% 5.64/5.86 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Enumposrep_2El2n @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ty_2Enum_2Enum ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ V1t ) ) ) )
% 5.64/5.86 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Enumposrep_2El2n2 @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ty_2Enum_2Enum ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ V1t ) ) ) ) ) )
% 5.64/5.86 & ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enumposrep_2El2n2 @ ( c_2Elist_2ENIL @ ty_2Enum_2Enum ) ) )
% 5.64/5.86 = fo__c_2Earithmetic_2EZERO )
% 5.64/5.86 & ! [V2t: tp__c_ty_2Elist_2Elist_ty_2Enum_2Enum] :
% 5.64/5.86 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enumposrep_2El2n2 @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ V2t ) ) ) )
% 5.64/5.86 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enumeral_2EiDUB @ ( ap @ c_2Enumposrep_2El2n2 @ ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ V2t ) ) ) ) )
% 5.64/5.86 & ! [V3t: tp__c_ty_2Elist_2Elist_ty_2Enum_2Enum] :
% 5.64/5.86 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enumposrep_2El2n2 @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ty_2Enum_2Enum ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ V3t ) ) ) )
% 5.64/5.86 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Enumposrep_2El2n2 @ ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ V3t ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2Enumposrep_2EBIT__num__from__bin__list,axiom,
% 5.64/5.86 ! [V0x: tp__ty_2Enum_2Enum,V1l: tp__c_ty_2Elist_2Elist_ty_2Enum_2Enum] :
% 5.64/5.86 ( ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EEVERY @ ty_2Enum_2Enum ) @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ V1l ) ) )
% 5.64/5.86 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ ty_2Enum_2Enum ) @ ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ V1l ) ) ) ) )
% 5.64/5.86 => ( ( p @ ( ap @ ( ap @ c_2Ebit_2EBIT @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( ap @ c_2Enumposrep_2Enum__from__bin__list @ ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ V1l ) ) ) )
% 5.64/5.86 <=> ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( c_2Elist_2EEL @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ V1l ) ) )
% 5.64/5.86 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2Enumposrep_2EEL__num__to__bin__list,axiom,
% 5.64/5.86 ! [V0x: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ ty_2Enum_2Enum ) @ ( ap @ c_2Enumposrep_2Enum__to__bin__list @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) )
% 5.64/5.86 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( c_2Elist_2EEL @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( ap @ c_2Enumposrep_2Enum__to__bin__list @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.64/5.86 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Ebit_2EBITV @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V0x ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2Enumposrep_2Enum__bin__list,axiom,
% 5.64/5.86 ( ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ty_2Enum_2Enum @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ ty_2Enum_2Enum ) ) @ c_2Enumposrep_2Enum__from__bin__list ) @ c_2Enumposrep_2Enum__to__bin__list )
% 5.64/5.86 = ( c_2Ecombin_2EI @ ty_2Enum_2Enum ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2Enumposrep_2Enum__oct__list,axiom,
% 5.64/5.86 ( ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ty_2Enum_2Enum @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ ty_2Enum_2Enum ) ) @ c_2Enumposrep_2Enum__from__oct__list ) @ c_2Enumposrep_2Enum__to__oct__list )
% 5.64/5.86 = ( c_2Ecombin_2EI @ ty_2Enum_2Enum ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2Enumposrep_2Enum__dec__list,axiom,
% 5.64/5.86 ( ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ty_2Enum_2Enum @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ ty_2Enum_2Enum ) ) @ c_2Enumposrep_2Enum__from__dec__list ) @ c_2Enumposrep_2Enum__to__dec__list )
% 5.64/5.86 = ( c_2Ecombin_2EI @ ty_2Enum_2Enum ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2Enumposrep_2Enum__hex__list,axiom,
% 5.64/5.86 ( ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ty_2Enum_2Enum @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ ty_2Enum_2Enum ) ) @ c_2Enumposrep_2Enum__from__hex__list ) @ c_2Enumposrep_2Enum__to__hex__list )
% 5.64/5.86 = ( c_2Ecombin_2EI @ ty_2Enum_2Enum ) ) ).
% 5.64/5.86
% 5.64/5.86 %------------------------------------------------------------------------------
% 5.64/5.86 %------------------------------------------------------------------------------
% 5.64/5.86 thf(tp_c_2EpatternMatches_2EAPPLY__REDUNDANT__ROWS__INFO,type,
% 5.64/5.86 c_2EpatternMatches_2EAPPLY__REDUNDANT__ROWS__INFO: del > $i ).
% 5.64/5.86
% 5.64/5.86 thf(mem_c_2EpatternMatches_2EAPPLY__REDUNDANT__ROWS__INFO,axiom,
% 5.64/5.86 ! [A_27a: del] : ( mem @ ( c_2EpatternMatches_2EAPPLY__REDUNDANT__ROWS__INFO @ A_27a ) @ ( arr @ ( ty_2Elist_2Elist @ bool ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(tp_c_2EpatternMatches_2EIS__REDUNDANT__ROWS__INFO,type,
% 5.64/5.86 c_2EpatternMatches_2EIS__REDUNDANT__ROWS__INFO: del > del > $i ).
% 5.64/5.86
% 5.64/5.86 thf(mem_c_2EpatternMatches_2EIS__REDUNDANT__ROWS__INFO,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2EpatternMatches_2EIS__REDUNDANT__ROWS__INFO @ A_27a @ A_27b ) @ ( arr @ A_27a @ ( arr @ ( ty_2Elist_2Elist @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) @ ( arr @ bool @ ( arr @ ( ty_2Elist_2Elist @ bool ) @ bool ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(tp_c_2EpatternMatches_2EPMATCH,type,
% 5.64/5.86 c_2EpatternMatches_2EPMATCH: del > del > $i ).
% 5.64/5.86
% 5.64/5.86 thf(mem_c_2EpatternMatches_2EPMATCH,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2EpatternMatches_2EPMATCH @ A_27a @ A_27b ) @ ( arr @ A_27b @ ( arr @ ( ty_2Elist_2Elist @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27a ) ) ) @ A_27a ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(tp_c_2EpatternMatches_2EPMATCH__EQUIV__ROWS,type,
% 5.64/5.86 c_2EpatternMatches_2EPMATCH__EQUIV__ROWS: del > del > $i ).
% 5.64/5.86
% 5.64/5.86 thf(mem_c_2EpatternMatches_2EPMATCH__EQUIV__ROWS,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2EpatternMatches_2EPMATCH__EQUIV__ROWS @ A_27a @ A_27b ) @ ( arr @ A_27a @ ( arr @ ( ty_2Elist_2Elist @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) @ ( arr @ ( ty_2Elist_2Elist @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) @ bool ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(tp_c_2EpatternMatches_2EPMATCH__EXPAND__PRED,type,
% 5.64/5.86 c_2EpatternMatches_2EPMATCH__EXPAND__PRED: del > del > $i ).
% 5.64/5.86
% 5.64/5.86 thf(mem_c_2EpatternMatches_2EPMATCH__EXPAND__PRED,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2EpatternMatches_2EPMATCH__EXPAND__PRED @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ A_27b @ ( arr @ ( ty_2Elist_2Elist @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27a ) ) ) @ ( arr @ ( ty_2Elist_2Elist @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27a ) ) ) @ bool ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(tp_c_2EpatternMatches_2EPMATCH__FLATTEN__FUN,type,
% 5.64/5.86 c_2EpatternMatches_2EPMATCH__FLATTEN__FUN: del > del > del > $i ).
% 5.64/5.86
% 5.64/5.86 thf(mem_c_2EpatternMatches_2EPMATCH__FLATTEN__FUN,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,A_27c: del] : ( mem @ ( c_2EpatternMatches_2EPMATCH__FLATTEN__FUN @ A_27a @ A_27b @ A_27c ) @ ( arr @ ( arr @ A_27b @ A_27c ) @ ( arr @ ( arr @ A_27b @ bool ) @ ( arr @ ( arr @ A_27b @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27a ) ) ) @ ( arr @ A_27c @ ( ty_2Eoption_2Eoption @ A_27a ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(tp_c_2EpatternMatches_2EPMATCH__INCOMPLETE,type,
% 5.64/5.86 c_2EpatternMatches_2EPMATCH__INCOMPLETE: del > $i ).
% 5.64/5.86
% 5.64/5.86 thf(mem_c_2EpatternMatches_2EPMATCH__INCOMPLETE,axiom,
% 5.64/5.86 ! [A_27a: del] : ( mem @ ( c_2EpatternMatches_2EPMATCH__INCOMPLETE @ A_27a ) @ A_27a ) ).
% 5.64/5.86
% 5.64/5.86 thf(tp_c_2EpatternMatches_2EPMATCH__IS__EXHAUSTIVE,type,
% 5.64/5.86 c_2EpatternMatches_2EPMATCH__IS__EXHAUSTIVE: del > del > $i ).
% 5.64/5.86
% 5.64/5.86 thf(mem_c_2EpatternMatches_2EPMATCH__IS__EXHAUSTIVE,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2EpatternMatches_2EPMATCH__IS__EXHAUSTIVE @ A_27a @ A_27b ) @ ( arr @ A_27a @ ( arr @ ( ty_2Elist_2Elist @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) @ bool ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(tp_c_2EpatternMatches_2EPMATCH__ROW,type,
% 5.64/5.86 c_2EpatternMatches_2EPMATCH__ROW: del > del > del > $i ).
% 5.64/5.86
% 5.64/5.86 thf(mem_c_2EpatternMatches_2EPMATCH__ROW,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,A_27c: del] : ( mem @ ( c_2EpatternMatches_2EPMATCH__ROW @ A_27a @ A_27b @ A_27c ) @ ( arr @ ( arr @ A_27b @ A_27c ) @ ( arr @ ( arr @ A_27b @ bool ) @ ( arr @ ( arr @ A_27b @ A_27a ) @ ( arr @ A_27c @ ( ty_2Eoption_2Eoption @ A_27a ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(tp_c_2EpatternMatches_2EPMATCH__ROW__COND,type,
% 5.64/5.86 c_2EpatternMatches_2EPMATCH__ROW__COND: del > del > $i ).
% 5.64/5.86
% 5.64/5.86 thf(mem_c_2EpatternMatches_2EPMATCH__ROW__COND,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2EpatternMatches_2EPMATCH__ROW__COND @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ A_27b @ ( arr @ A_27a @ bool ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(tp_c_2EpatternMatches_2EPMATCH__ROW__COND__EX,type,
% 5.64/5.86 c_2EpatternMatches_2EPMATCH__ROW__COND__EX: del > del > $i ).
% 5.64/5.86
% 5.64/5.86 thf(mem_c_2EpatternMatches_2EPMATCH__ROW__COND__EX,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2EpatternMatches_2EPMATCH__ROW__COND__EX @ A_27a @ A_27b ) @ ( arr @ A_27a @ ( arr @ ( arr @ A_27b @ A_27a ) @ ( arr @ ( arr @ A_27b @ bool ) @ bool ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(tp_c_2EpatternMatches_2EPMATCH__ROW__COND__NOT__EX__OR__EQ,type,
% 5.64/5.86 c_2EpatternMatches_2EPMATCH__ROW__COND__NOT__EX__OR__EQ: del > del > $i ).
% 5.64/5.86
% 5.64/5.86 thf(mem_c_2EpatternMatches_2EPMATCH__ROW__COND__NOT__EX__OR__EQ,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2EpatternMatches_2EPMATCH__ROW__COND__NOT__EX__OR__EQ @ A_27a @ A_27b ) @ ( arr @ A_27a @ ( arr @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) @ ( arr @ ( ty_2Elist_2Elist @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) @ bool ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(tp_c_2EpatternMatches_2EPMATCH__ROW__LIFT,type,
% 5.64/5.86 c_2EpatternMatches_2EPMATCH__ROW__LIFT: del > del > del > $i ).
% 5.64/5.86
% 5.64/5.86 thf(mem_c_2EpatternMatches_2EPMATCH__ROW__LIFT,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,A_27c: del] : ( mem @ ( c_2EpatternMatches_2EPMATCH__ROW__LIFT @ A_27a @ A_27b @ A_27c ) @ ( arr @ ( arr @ A_27c @ A_27b ) @ ( arr @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27c ) ) @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(tp_c_2EpatternMatches_2EPMATCH__ROW__REDUNDANT,type,
% 5.64/5.86 c_2EpatternMatches_2EPMATCH__ROW__REDUNDANT: del > del > $i ).
% 5.64/5.86
% 5.64/5.86 thf(mem_c_2EpatternMatches_2EPMATCH__ROW__REDUNDANT,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2EpatternMatches_2EPMATCH__ROW__REDUNDANT @ A_27a @ A_27b ) @ ( arr @ A_27a @ ( arr @ ( ty_2Elist_2Elist @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) @ ( arr @ ty_2Enum_2Enum @ bool ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(tp_c_2EpatternMatches_2EPMATCH__ROW__magic__0,type,
% 5.64/5.86 c_2EpatternMatches_2EPMATCH__ROW__magic__0: del > del > $i ).
% 5.64/5.86
% 5.64/5.86 thf(mem_c_2EpatternMatches_2EPMATCH__ROW__magic__0,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2EpatternMatches_2EPMATCH__ROW__magic__0 @ A_27a @ A_27b ) @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Epair_2Eprod @ bool @ A_27b ) ) @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(tp_c_2EpatternMatches_2EPMATCH__ROW__magic__1,type,
% 5.64/5.86 c_2EpatternMatches_2EPMATCH__ROW__magic__1: del > del > del > $i ).
% 5.64/5.86
% 5.64/5.86 thf(mem_c_2EpatternMatches_2EPMATCH__ROW__magic__1,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,A_27c: del] : ( mem @ ( c_2EpatternMatches_2EPMATCH__ROW__magic__1 @ A_27a @ A_27b @ A_27c ) @ ( arr @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ ( ty_2Epair_2Eprod @ bool @ A_27c ) ) ) @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27c ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(tp_c_2EpatternMatches_2EPMATCH__ROW__magic__2,type,
% 5.64/5.86 c_2EpatternMatches_2EPMATCH__ROW__magic__2: del > del > $i ).
% 5.64/5.86
% 5.64/5.86 thf(mem_c_2EpatternMatches_2EPMATCH__ROW__magic__2,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2EpatternMatches_2EPMATCH__ROW__magic__2 @ A_27a @ A_27b ) @ ( arr @ A_27a @ ( arr @ bool @ ( arr @ A_27b @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Epair_2Eprod @ bool @ A_27b ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(tp_c_2EpatternMatches_2EPMATCH__ROW__magic__3,type,
% 5.64/5.86 c_2EpatternMatches_2EPMATCH__ROW__magic__3: del > del > $i ).
% 5.64/5.86
% 5.64/5.86 thf(mem_c_2EpatternMatches_2EPMATCH__ROW__magic__3,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2EpatternMatches_2EPMATCH__ROW__magic__3 @ A_27a @ A_27b ) @ ( arr @ A_27a @ ( arr @ A_27b @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Epair_2Eprod @ bool @ A_27b ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(tp_c_2EpatternMatches_2EPMATCH__ROW__magic__4,type,
% 5.64/5.86 c_2EpatternMatches_2EPMATCH__ROW__magic__4: del > del > $i ).
% 5.64/5.86
% 5.64/5.86 thf(mem_c_2EpatternMatches_2EPMATCH__ROW__magic__4,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2EpatternMatches_2EPMATCH__ROW__magic__4 @ A_27a @ A_27b ) @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Epair_2Eprod @ bool @ A_27b ) ) @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(tp_c_2EpatternMatches_2EPMATCH__magic__1,type,
% 5.64/5.86 c_2EpatternMatches_2EPMATCH__magic__1: del > del > $i ).
% 5.64/5.86
% 5.64/5.86 thf(mem_c_2EpatternMatches_2EPMATCH__magic__1,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2EpatternMatches_2EPMATCH__magic__1 @ A_27a @ A_27b ) @ ( arr @ A_27a @ ( arr @ ( ty_2Elist_2Elist @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) @ A_27b ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(tp_c_2EpatternMatches_2EREDUNDANT__ROWS__INFOS__CONJ,type,
% 5.64/5.86 c_2EpatternMatches_2EREDUNDANT__ROWS__INFOS__CONJ: $i ).
% 5.64/5.86
% 5.64/5.86 thf(mem_c_2EpatternMatches_2EREDUNDANT__ROWS__INFOS__CONJ,axiom,
% 5.64/5.86 mem @ c_2EpatternMatches_2EREDUNDANT__ROWS__INFOS__CONJ @ ( arr @ ( ty_2Elist_2Elist @ bool ) @ ( arr @ ( ty_2Elist_2Elist @ bool ) @ ( ty_2Elist_2Elist @ bool ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(tp_c_2EpatternMatches_2EREDUNDANT__ROWS__INFOS__DISJ,type,
% 5.64/5.86 c_2EpatternMatches_2EREDUNDANT__ROWS__INFOS__DISJ: $i ).
% 5.64/5.86
% 5.64/5.86 thf(mem_c_2EpatternMatches_2EREDUNDANT__ROWS__INFOS__DISJ,axiom,
% 5.64/5.86 mem @ c_2EpatternMatches_2EREDUNDANT__ROWS__INFOS__DISJ @ ( arr @ ( ty_2Elist_2Elist @ bool ) @ ( arr @ ( ty_2Elist_2Elist @ bool ) @ ( ty_2Elist_2Elist @ bool ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(tp_c_2EpatternMatches_2ESTRONGEST__REDUNDANT__ROWS__INFO,type,
% 5.64/5.86 c_2EpatternMatches_2ESTRONGEST__REDUNDANT__ROWS__INFO: del > del > $i ).
% 5.64/5.86
% 5.64/5.86 thf(mem_c_2EpatternMatches_2ESTRONGEST__REDUNDANT__ROWS__INFO,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2EpatternMatches_2ESTRONGEST__REDUNDANT__ROWS__INFO @ A_27a @ A_27b ) @ ( arr @ A_27a @ ( arr @ ( ty_2Elist_2Elist @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) @ ( ty_2Elist_2Elist @ bool ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(stp_c_ty_2Epair_2Eprod_o_c_ty_2Elist_2Elist_o,type,
% 5.64/5.86 tp__c_ty_2Epair_2Eprod_o_c_ty_2Elist_2Elist_o: $tType ).
% 5.64/5.86
% 5.64/5.86 thf(stp_inj_c_ty_2Epair_2Eprod_o_c_ty_2Elist_2Elist_o,type,
% 5.64/5.86 inj__c_ty_2Epair_2Eprod_o_c_ty_2Elist_2Elist_o: tp__c_ty_2Epair_2Eprod_o_c_ty_2Elist_2Elist_o > $i ).
% 5.64/5.86
% 5.64/5.86 thf(stp_surj_c_ty_2Epair_2Eprod_o_c_ty_2Elist_2Elist_o,type,
% 5.64/5.86 surj__c_ty_2Epair_2Eprod_o_c_ty_2Elist_2Elist_o: $i > tp__c_ty_2Epair_2Eprod_o_c_ty_2Elist_2Elist_o ).
% 5.64/5.86
% 5.64/5.86 thf(stp_inj_surj_c_ty_2Epair_2Eprod_o_c_ty_2Elist_2Elist_o,axiom,
% 5.64/5.86 ! [X: tp__c_ty_2Epair_2Eprod_o_c_ty_2Elist_2Elist_o] :
% 5.64/5.86 ( ( surj__c_ty_2Epair_2Eprod_o_c_ty_2Elist_2Elist_o @ ( inj__c_ty_2Epair_2Eprod_o_c_ty_2Elist_2Elist_o @ X ) )
% 5.64/5.86 = X ) ).
% 5.64/5.86
% 5.64/5.86 thf(stp_inj_mem_c_ty_2Epair_2Eprod_o_c_ty_2Elist_2Elist_o,axiom,
% 5.64/5.86 ! [X: tp__c_ty_2Epair_2Eprod_o_c_ty_2Elist_2Elist_o] : ( mem @ ( inj__c_ty_2Epair_2Eprod_o_c_ty_2Elist_2Elist_o @ X ) @ ( ty_2Epair_2Eprod @ bool @ ( ty_2Elist_2Elist @ bool ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(stp_iso_mem_c_ty_2Epair_2Eprod_o_c_ty_2Elist_2Elist_o,axiom,
% 5.64/5.86 ! [X: $i] :
% 5.64/5.86 ( ( mem @ X @ ( ty_2Epair_2Eprod @ bool @ ( ty_2Elist_2Elist @ bool ) ) )
% 5.64/5.86 => ( X
% 5.64/5.86 = ( inj__c_ty_2Epair_2Eprod_o_c_ty_2Elist_2Elist_o @ ( surj__c_ty_2Epair_2Eprod_o_c_ty_2Elist_2Elist_o @ X ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(tp_c_2EpatternMatches_2ESTRONGEST__REDUNDANT__ROWS__INFO__AUX,type,
% 5.64/5.86 c_2EpatternMatches_2ESTRONGEST__REDUNDANT__ROWS__INFO__AUX: del > del > $i ).
% 5.64/5.86
% 5.64/5.86 thf(mem_c_2EpatternMatches_2ESTRONGEST__REDUNDANT__ROWS__INFO__AUX,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2EpatternMatches_2ESTRONGEST__REDUNDANT__ROWS__INFO__AUX @ A_27a @ A_27b ) @ ( arr @ A_27a @ ( arr @ ( ty_2Elist_2Elist @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) @ ( arr @ bool @ ( arr @ ( ty_2Elist_2Elist @ bool ) @ ( ty_2Epair_2Eprod @ bool @ ( ty_2Elist_2Elist @ bool ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(stp_c_ty_2Eoption_2Eoption_o,type,
% 5.64/5.86 tp__c_ty_2Eoption_2Eoption_o: $tType ).
% 5.64/5.86
% 5.64/5.86 thf(stp_inj_c_ty_2Eoption_2Eoption_o,type,
% 5.64/5.86 inj__c_ty_2Eoption_2Eoption_o: tp__c_ty_2Eoption_2Eoption_o > $i ).
% 5.64/5.86
% 5.64/5.86 thf(stp_surj_c_ty_2Eoption_2Eoption_o,type,
% 5.64/5.86 surj__c_ty_2Eoption_2Eoption_o: $i > tp__c_ty_2Eoption_2Eoption_o ).
% 5.64/5.86
% 5.64/5.86 thf(stp_inj_surj_c_ty_2Eoption_2Eoption_o,axiom,
% 5.64/5.86 ! [X: tp__c_ty_2Eoption_2Eoption_o] :
% 5.64/5.86 ( ( surj__c_ty_2Eoption_2Eoption_o @ ( inj__c_ty_2Eoption_2Eoption_o @ X ) )
% 5.64/5.86 = X ) ).
% 5.64/5.86
% 5.64/5.86 thf(stp_inj_mem_c_ty_2Eoption_2Eoption_o,axiom,
% 5.64/5.86 ! [X: tp__c_ty_2Eoption_2Eoption_o] : ( mem @ ( inj__c_ty_2Eoption_2Eoption_o @ X ) @ ( ty_2Eoption_2Eoption @ bool ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(stp_iso_mem_c_ty_2Eoption_2Eoption_o,axiom,
% 5.64/5.86 ! [X: $i] :
% 5.64/5.86 ( ( mem @ X @ ( ty_2Eoption_2Eoption @ bool ) )
% 5.64/5.86 => ( X
% 5.64/5.86 = ( inj__c_ty_2Eoption_2Eoption_o @ ( surj__c_ty_2Eoption_2Eoption_o @ X ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EpatternMatches_2Esome__var__bool__T,axiom,
% 5.64/5.86 ( ( surj__c_ty_2Eoption_2Eoption_o
% 5.64/5.86 @ ( ap @ ( c_2Eoption_2Esome @ bool )
% 5.64/5.86 @ ( lam @ bool
% 5.64/5.86 @ ^ [V0x: $i] : V0x ) ) )
% 5.64/5.86 = ( surj__c_ty_2Eoption_2Eoption_o @ ( ap @ ( c_2Eoption_2ESOME @ bool ) @ c_2Ebool_2ET ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EpatternMatches_2Esome__var__bool__F,axiom,
% 5.64/5.86 ( ( surj__c_ty_2Eoption_2Eoption_o
% 5.64/5.86 @ ( ap @ ( c_2Eoption_2Esome @ bool )
% 5.64/5.86 @ ( lam @ bool
% 5.64/5.86 @ ^ [V0x: $i] : ( ap @ c_2Ebool_2E_7E @ V0x ) ) ) )
% 5.64/5.86 = ( surj__c_ty_2Eoption_2Eoption_o @ ( ap @ ( c_2Eoption_2ESOME @ bool ) @ c_2Ebool_2EF ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(ax_thm_2EpatternMatches_2EPMATCH__ROW__COND__def,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,V0pat: $i] :
% 5.64/5.86 ( ( mem @ V0pat @ ( arr @ A_27a @ A_27b ) )
% 5.64/5.86 => ! [V1guard: $i] :
% 5.64/5.86 ( ( mem @ V1guard @ ( arr @ A_27a @ bool ) )
% 5.64/5.86 => ! [V2inp: $i] :
% 5.64/5.86 ( ( mem @ V2inp @ A_27b )
% 5.64/5.86 => ! [V3v: $i] :
% 5.64/5.86 ( ( mem @ V3v @ A_27a )
% 5.64/5.86 => ( ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__ROW__COND @ A_27a @ A_27b ) @ V0pat ) @ V1guard ) @ V2inp ) @ V3v ) )
% 5.64/5.86 <=> ( ( ( ap @ V0pat @ V3v )
% 5.64/5.86 = V2inp )
% 5.64/5.86 & ( p @ ( ap @ V1guard @ V3v ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(ax_thm_2EpatternMatches_2EPMATCH__ROW__def,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,A_27c: del,V0pat: $i] :
% 5.64/5.86 ( ( mem @ V0pat @ ( arr @ A_27b @ A_27c ) )
% 5.64/5.86 => ! [V1guard: $i] :
% 5.64/5.86 ( ( mem @ V1guard @ ( arr @ A_27b @ bool ) )
% 5.64/5.86 => ! [V2rhs: $i] :
% 5.64/5.86 ( ( mem @ V2rhs @ ( arr @ A_27b @ A_27a ) )
% 5.64/5.86 => ! [V3i: $i] :
% 5.64/5.86 ( ( mem @ V3i @ A_27c )
% 5.64/5.86 => ( ( ap @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__ROW @ A_27a @ A_27b @ A_27c ) @ V0pat ) @ V1guard ) @ V2rhs ) @ V3i )
% 5.64/5.86 = ( ap @ ( ap @ ( c_2Eoption_2EOPTION__MAP @ A_27b @ A_27a ) @ V2rhs )
% 5.64/5.86 @ ( ap @ ( c_2Eoption_2Esome @ A_27b )
% 5.64/5.86 @ ( lam @ A_27b
% 5.64/5.86 @ ^ [V4v: $i] : ( ap @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__ROW__COND @ A_27b @ A_27c ) @ V0pat ) @ V1guard ) @ V3i ) @ V4v ) ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(ax_thm_2EpatternMatches_2EPMATCH__INCOMPLETE__def,axiom,
% 5.64/5.86 ! [A_27a: del] :
% 5.64/5.86 ( ( c_2EpatternMatches_2EPMATCH__INCOMPLETE @ A_27a )
% 5.64/5.86 = ( c_2Ebool_2EARB @ A_27a ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(ax_thm_2EpatternMatches_2EPMATCH__def,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del] :
% 5.64/5.86 ( ! [V0v: $i] :
% 5.64/5.86 ( ( mem @ V0v @ A_27b )
% 5.64/5.86 => ( ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH @ A_27a @ A_27b ) @ V0v ) @ ( c_2Elist_2ENIL @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27a ) ) ) )
% 5.64/5.86 = ( c_2EpatternMatches_2EPMATCH__INCOMPLETE @ A_27a ) ) )
% 5.64/5.86 & ! [V1v: $i] :
% 5.64/5.86 ( ( mem @ V1v @ A_27b )
% 5.64/5.86 => ! [V2r: $i] :
% 5.64/5.86 ( ( mem @ V2r @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27a ) ) )
% 5.64/5.86 => ! [V3rs: $i] :
% 5.64/5.86 ( ( mem @ V3rs @ ( ty_2Elist_2Elist @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27a ) ) ) )
% 5.64/5.86 => ( ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH @ A_27a @ A_27b ) @ V1v ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27a ) ) ) @ V2r ) @ V3rs ) )
% 5.64/5.86 = ( ap @ ( ap @ ( ap @ ( c_2Eoption_2Eoption__CASE @ A_27a @ A_27a ) @ ( ap @ V2r @ V1v ) ) @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH @ A_27a @ A_27b ) @ V1v ) @ V3rs ) ) @ ( c_2Ecombin_2EI @ A_27a ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EpatternMatches_2EPMATCH__ROW__CONG,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,A_27c: del,V0p: $i] :
% 5.64/5.86 ( ( mem @ V0p @ ( arr @ A_27a @ A_27b ) )
% 5.64/5.86 => ! [V1p_27: $i] :
% 5.64/5.86 ( ( mem @ V1p_27 @ ( arr @ A_27a @ A_27b ) )
% 5.64/5.86 => ! [V2g: $i] :
% 5.64/5.86 ( ( mem @ V2g @ ( arr @ A_27a @ bool ) )
% 5.64/5.86 => ! [V3g_27: $i] :
% 5.64/5.86 ( ( mem @ V3g_27 @ ( arr @ A_27a @ bool ) )
% 5.64/5.86 => ! [V4r: $i] :
% 5.64/5.86 ( ( mem @ V4r @ ( arr @ A_27a @ A_27c ) )
% 5.64/5.86 => ! [V5r_27: $i] :
% 5.64/5.86 ( ( mem @ V5r_27 @ ( arr @ A_27a @ A_27c ) )
% 5.64/5.86 => ! [V6v: $i] :
% 5.64/5.86 ( ( mem @ V6v @ A_27b )
% 5.64/5.86 => ! [V7v_27: $i] :
% 5.64/5.86 ( ( mem @ V7v_27 @ A_27b )
% 5.64/5.86 => ( ( ( V0p = V1p_27 )
% 5.64/5.86 & ( V6v = V7v_27 )
% 5.64/5.86 & ! [V8x: $i] :
% 5.64/5.86 ( ( mem @ V8x @ A_27a )
% 5.64/5.86 => ( ( V6v
% 5.64/5.86 = ( ap @ V0p @ V8x ) )
% 5.64/5.86 => ( ( p @ ( ap @ V2g @ V8x ) )
% 5.64/5.86 <=> ( p @ ( ap @ V3g_27 @ V8x ) ) ) ) )
% 5.64/5.86 & ! [V9x: $i] :
% 5.64/5.86 ( ( mem @ V9x @ A_27a )
% 5.64/5.86 => ( ( ( V6v
% 5.64/5.86 = ( ap @ V0p @ V9x ) )
% 5.64/5.86 & ( p @ ( ap @ V2g @ V9x ) ) )
% 5.64/5.86 => ( ( ap @ V4r @ V9x )
% 5.64/5.86 = ( ap @ V5r_27 @ V9x ) ) ) ) )
% 5.64/5.86 => ( ( ap @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__ROW @ A_27c @ A_27a @ A_27b ) @ V0p ) @ V2g ) @ V4r ) @ V6v )
% 5.64/5.86 = ( ap @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__ROW @ A_27c @ A_27a @ A_27b ) @ V1p_27 ) @ V3g_27 ) @ V5r_27 ) @ V7v_27 ) ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EpatternMatches_2EPMATCH__CONG,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,V0v: $i] :
% 5.64/5.86 ( ( mem @ V0v @ A_27a )
% 5.64/5.86 => ! [V1v_27: $i] :
% 5.64/5.86 ( ( mem @ V1v_27 @ A_27a )
% 5.64/5.86 => ! [V2rows: $i] :
% 5.64/5.86 ( ( mem @ V2rows @ ( ty_2Elist_2Elist @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) )
% 5.64/5.86 => ! [V3rows_27: $i] :
% 5.64/5.86 ( ( mem @ V3rows_27 @ ( ty_2Elist_2Elist @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) )
% 5.64/5.86 => ! [V4r: $i] :
% 5.64/5.86 ( ( mem @ V4r @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) )
% 5.64/5.86 => ! [V5r_27: $i] :
% 5.64/5.86 ( ( mem @ V5r_27 @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) )
% 5.64/5.86 => ( ( ( V0v = V1v_27 )
% 5.64/5.86 & ( ( ap @ V4r @ V1v_27 )
% 5.64/5.86 = ( ap @ V5r_27 @ V1v_27 ) )
% 5.64/5.86 & ( ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH @ A_27b @ A_27a ) @ V1v_27 ) @ V2rows )
% 5.64/5.86 = ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH @ A_27b @ A_27a ) @ V1v_27 ) @ V3rows_27 ) ) )
% 5.64/5.86 => ( ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH @ A_27b @ A_27a ) @ V0v ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) @ V4r ) @ V2rows ) )
% 5.64/5.86 = ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH @ A_27b @ A_27a ) @ V1v_27 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) @ V5r_27 ) @ V3rows_27 ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EpatternMatches_2EPMATCH__ROW__EQ__AUX,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0p: $i] :
% 5.64/5.86 ( ( mem @ V0p @ ( arr @ A_27b @ A_27a ) )
% 5.64/5.86 => ! [V1g: $i] :
% 5.64/5.86 ( ( mem @ V1g @ ( arr @ A_27b @ bool ) )
% 5.64/5.86 => ! [V2p_27: $i] :
% 5.64/5.86 ( ( mem @ V2p_27 @ ( arr @ A_27c @ A_27a ) )
% 5.64/5.86 => ! [V3g_27: $i] :
% 5.64/5.86 ( ( mem @ V3g_27 @ ( arr @ A_27c @ bool ) )
% 5.64/5.86 => ! [V4r: $i] :
% 5.64/5.86 ( ( mem @ V4r @ ( arr @ A_27b @ A_27d ) )
% 5.64/5.86 => ! [V5r_27: $i] :
% 5.64/5.86 ( ( mem @ V5r_27 @ ( arr @ A_27c @ A_27d ) )
% 5.64/5.86 => ( ( ! [V6i: $i] :
% 5.64/5.86 ( ( mem @ V6i @ A_27a )
% 5.64/5.86 => ( ? [V7x: $i] :
% 5.64/5.86 ( ( mem @ V7x @ A_27b )
% 5.64/5.86 & ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__ROW__COND @ A_27b @ A_27a ) @ V0p ) @ V1g ) @ V6i ) @ V7x ) ) )
% 5.64/5.86 <=> ? [V8x_27: $i] :
% 5.64/5.86 ( ( mem @ V8x_27 @ A_27c )
% 5.64/5.86 & ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__ROW__COND @ A_27c @ A_27a ) @ V2p_27 ) @ V3g_27 ) @ V6i ) @ V8x_27 ) ) ) ) )
% 5.64/5.86 & ! [V9x: $i] :
% 5.64/5.86 ( ( mem @ V9x @ A_27b )
% 5.64/5.86 => ! [V10x_27: $i] :
% 5.64/5.86 ( ( mem @ V10x_27 @ A_27c )
% 5.64/5.86 => ( ( ( ( ap @ V0p @ V9x )
% 5.64/5.86 = ( ap @ V2p_27 @ V10x_27 ) )
% 5.64/5.86 & ( p @ ( ap @ V1g @ V9x ) )
% 5.64/5.86 & ( p @ ( ap @ V3g_27 @ V10x_27 ) ) )
% 5.64/5.86 => ( ( ap @ V4r @ V9x )
% 5.64/5.86 = ( ap @ V5r_27 @ V10x_27 ) ) ) ) ) )
% 5.64/5.86 => ( ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__ROW @ A_27d @ A_27b @ A_27a ) @ V0p ) @ V1g ) @ V4r )
% 5.64/5.86 = ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__ROW @ A_27d @ A_27c @ A_27a ) @ V2p_27 ) @ V3g_27 ) @ V5r_27 ) ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EpatternMatches_2EPMATCH__ROW__EQ__NONE,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,A_27c: del,V0p: $i] :
% 5.64/5.86 ( ( mem @ V0p @ ( arr @ A_27b @ A_27c ) )
% 5.64/5.86 => ! [V1g: $i] :
% 5.64/5.86 ( ( mem @ V1g @ ( arr @ A_27b @ bool ) )
% 5.64/5.86 => ! [V2r: $i] :
% 5.64/5.86 ( ( mem @ V2r @ ( arr @ A_27b @ A_27a ) )
% 5.64/5.86 => ! [V3i: $i] :
% 5.64/5.86 ( ( mem @ V3i @ A_27c )
% 5.64/5.86 => ( ( ( ap @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__ROW @ A_27a @ A_27b @ A_27c ) @ V0p ) @ V1g ) @ V2r ) @ V3i )
% 5.64/5.86 = ( c_2Eoption_2ENONE @ A_27a ) )
% 5.64/5.86 <=> ! [V4x: $i] :
% 5.64/5.86 ( ( mem @ V4x @ A_27b )
% 5.64/5.86 => ~ ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__ROW__COND @ A_27b @ A_27c ) @ V0p ) @ V1g ) @ V3i ) @ V4x ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EpatternMatches_2EPMATCH__ROW__EQ__SOME,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,A_27c: del,V0p: $i] :
% 5.64/5.86 ( ( mem @ V0p @ ( arr @ A_27b @ A_27c ) )
% 5.64/5.86 => ! [V1g: $i] :
% 5.64/5.86 ( ( mem @ V1g @ ( arr @ A_27b @ bool ) )
% 5.64/5.86 => ! [V2r: $i] :
% 5.64/5.86 ( ( mem @ V2r @ ( arr @ A_27b @ A_27a ) )
% 5.64/5.86 => ! [V3i: $i] :
% 5.64/5.86 ( ( mem @ V3i @ A_27c )
% 5.64/5.86 => ! [V4y: $i] :
% 5.64/5.86 ( ( mem @ V4y @ A_27a )
% 5.64/5.86 => ( ( ( ap @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__ROW @ A_27a @ A_27b @ A_27c ) @ V0p ) @ V1g ) @ V2r ) @ V3i )
% 5.64/5.86 = ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V4y ) )
% 5.64/5.86 => ? [V5x: $i] :
% 5.64/5.86 ( ( mem @ V5x @ A_27b )
% 5.64/5.86 & ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__ROW__COND @ A_27b @ A_27c ) @ V0p ) @ V1g ) @ V3i ) @ V5x ) )
% 5.64/5.86 & ( V4y
% 5.64/5.86 = ( ap @ V2r @ V5x ) ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EpatternMatches_2EPMATCH__COND__SELECT__UNIQUE,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,V0p: $i] :
% 5.64/5.86 ( ( mem @ V0p @ ( arr @ A_27a @ A_27b ) )
% 5.64/5.86 => ! [V1g: $i] :
% 5.64/5.86 ( ( mem @ V1g @ ( arr @ A_27a @ bool ) )
% 5.64/5.86 => ! [V2i: $i] :
% 5.64/5.86 ( ( mem @ V2i @ A_27b )
% 5.64/5.86 => ( ! [V3x1: $i] :
% 5.64/5.86 ( ( mem @ V3x1 @ A_27a )
% 5.64/5.86 => ! [V4x2: $i] :
% 5.64/5.86 ( ( mem @ V4x2 @ A_27a )
% 5.64/5.86 => ( ( ( p @ ( ap @ V1g @ V3x1 ) )
% 5.64/5.86 & ( p @ ( ap @ V1g @ V4x2 ) )
% 5.64/5.86 & ( ( ap @ V0p @ V3x1 )
% 5.64/5.86 = ( ap @ V0p @ V4x2 ) ) )
% 5.64/5.86 => ( V3x1 = V4x2 ) ) ) )
% 5.64/5.86 => ! [V5x: $i] :
% 5.64/5.86 ( ( mem @ V5x @ A_27a )
% 5.64/5.86 => ( ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__ROW__COND @ A_27a @ A_27b ) @ V0p ) @ V1g ) @ V2i ) @ V5x ) )
% 5.64/5.86 => ( ( ap @ ( c_2Emin_2E_40 @ A_27a )
% 5.64/5.86 @ ( lam @ A_27a
% 5.64/5.86 @ ^ [V6y: $i] : ( ap @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__ROW__COND @ A_27a @ A_27b ) @ V0p ) @ V1g ) @ V2i ) @ V6y ) ) )
% 5.64/5.86 = V5x ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EpatternMatches_2EPMATCH__ROW__COND__DEF__GSYM,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,V0pat: $i] :
% 5.64/5.86 ( ( mem @ V0pat @ ( arr @ A_27a @ A_27b ) )
% 5.64/5.86 => ! [V1guard: $i] :
% 5.64/5.86 ( ( mem @ V1guard @ ( arr @ A_27a @ bool ) )
% 5.64/5.86 => ! [V2inp: $i] :
% 5.64/5.86 ( ( mem @ V2inp @ A_27b )
% 5.64/5.86 => ! [V3v: $i] :
% 5.64/5.86 ( ( mem @ V3v @ A_27a )
% 5.64/5.86 => ( ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__ROW__COND @ A_27a @ A_27b ) @ V0pat ) @ V1guard ) @ V2inp ) @ V3v ) )
% 5.64/5.86 <=> ( ( V2inp
% 5.64/5.86 = ( ap @ V0pat @ V3v ) )
% 5.64/5.86 & ( p @ ( ap @ V1guard @ V3v ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EpatternMatches_2EPMATCH__EVAL,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0v: $i] :
% 5.64/5.86 ( ( mem @ V0v @ A_27b )
% 5.64/5.86 => ! [V1p: $i] :
% 5.64/5.86 ( ( mem @ V1p @ ( arr @ A_27d @ A_27b ) )
% 5.64/5.86 => ! [V2g: $i] :
% 5.64/5.86 ( ( mem @ V2g @ ( arr @ A_27d @ bool ) )
% 5.64/5.86 => ! [V3r: $i] :
% 5.64/5.86 ( ( mem @ V3r @ ( arr @ A_27d @ A_27c ) )
% 5.64/5.86 => ! [V4rs: $i] :
% 5.64/5.86 ( ( mem @ V4rs @ ( ty_2Elist_2Elist @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27c ) ) ) )
% 5.64/5.86 => ( ( ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH @ A_27a @ A_27b ) @ V0v ) @ ( c_2Elist_2ENIL @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27a ) ) ) )
% 5.64/5.86 = ( c_2EpatternMatches_2EPMATCH__INCOMPLETE @ A_27a ) )
% 5.64/5.86 & ( ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH @ A_27c @ A_27b ) @ V0v ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27c ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__ROW @ A_27c @ A_27d @ A_27b ) @ V1p ) @ V2g ) @ V3r ) ) @ V4rs ) )
% 5.64/5.86 = ( ap
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap @ ( c_2Ebool_2ECOND @ A_27c )
% 5.64/5.86 @ ( ap @ ( c_2Ebool_2E_3F @ A_27d )
% 5.64/5.86 @ ( lam @ A_27d
% 5.64/5.86 @ ^ [V5x: $i] : ( ap @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__ROW__COND @ A_27d @ A_27b ) @ V1p ) @ V2g ) @ V0v ) @ V5x ) ) ) )
% 5.64/5.86 @ ( ap @ V3r
% 5.64/5.86 @ ( ap @ ( c_2Emin_2E_40 @ A_27d )
% 5.64/5.86 @ ( lam @ A_27d
% 5.64/5.86 @ ^ [V6x: $i] : ( ap @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__ROW__COND @ A_27d @ A_27b ) @ V1p ) @ V2g ) @ V0v ) @ V6x ) ) ) ) )
% 5.64/5.86 @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH @ A_27c @ A_27b ) @ V0v ) @ V4rs ) ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EpatternMatches_2EPMATCH__EVAL__MATCH,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,A_27c: del,V0p: $i] :
% 5.64/5.86 ( ( mem @ V0p @ ( arr @ A_27b @ A_27c ) )
% 5.64/5.86 => ! [V1g: $i] :
% 5.64/5.86 ( ( mem @ V1g @ ( arr @ A_27b @ bool ) )
% 5.64/5.86 => ! [V2r: $i] :
% 5.64/5.86 ( ( mem @ V2r @ ( arr @ A_27b @ A_27a ) )
% 5.64/5.86 => ! [V3v: $i] :
% 5.64/5.86 ( ( mem @ V3v @ A_27c )
% 5.64/5.86 => ! [V4rs: $i] :
% 5.64/5.86 ( ( mem @ V4rs @ ( ty_2Elist_2Elist @ ( arr @ A_27c @ ( ty_2Eoption_2Eoption @ A_27a ) ) ) )
% 5.64/5.86 => ( ( ( ap @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__ROW @ A_27a @ A_27b @ A_27c ) @ V0p ) @ V1g ) @ V2r ) @ V3v )
% 5.64/5.86 != ( c_2Eoption_2ENONE @ A_27a ) )
% 5.64/5.86 => ( ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH @ A_27a @ A_27c ) @ V3v ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ( arr @ A_27c @ ( ty_2Eoption_2Eoption @ A_27a ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__ROW @ A_27a @ A_27b @ A_27c ) @ V0p ) @ V1g ) @ V2r ) ) @ V4rs ) )
% 5.64/5.86 = ( ap @ V2r
% 5.64/5.86 @ ( ap @ ( c_2Emin_2E_40 @ A_27b )
% 5.64/5.86 @ ( lam @ A_27b
% 5.64/5.86 @ ^ [V5x: $i] : ( ap @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__ROW__COND @ A_27b @ A_27c ) @ V0p ) @ V1g ) @ V3v ) @ V5x ) ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EpatternMatches_2EPMATCH__EXTEND__BASE,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,A_27c: del,V0v__old: $i] :
% 5.64/5.86 ( ( mem @ V0v__old @ A_27a )
% 5.64/5.86 => ! [V1v__new: $i] :
% 5.64/5.86 ( ( mem @ V1v__new @ A_27b )
% 5.64/5.86 => ( ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH @ A_27c @ A_27a ) @ V0v__old ) @ ( c_2Elist_2ENIL @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27c ) ) ) )
% 5.64/5.86 = ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH @ A_27c @ A_27b ) @ V1v__new ) @ ( c_2Elist_2ENIL @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27c ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EpatternMatches_2EPMATCH__EXTEND__BOTH,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,A_27c: del,V0v__old: $i] :
% 5.64/5.86 ( ( mem @ V0v__old @ A_27a )
% 5.64/5.86 => ! [V1v__new: $i] :
% 5.64/5.86 ( ( mem @ V1v__new @ A_27b )
% 5.64/5.86 => ! [V2rows__old: $i] :
% 5.64/5.86 ( ( mem @ V2rows__old @ ( ty_2Elist_2Elist @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27c ) ) ) )
% 5.64/5.86 => ! [V3rows__new: $i] :
% 5.64/5.86 ( ( mem @ V3rows__new @ ( ty_2Elist_2Elist @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27c ) ) ) )
% 5.64/5.86 => ! [V4r__old: $i] :
% 5.64/5.86 ( ( mem @ V4r__old @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27c ) ) )
% 5.64/5.86 => ! [V5r__new: $i] :
% 5.64/5.86 ( ( mem @ V5r__new @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27c ) ) )
% 5.64/5.86 => ( ( ( ap @ V4r__old @ V0v__old )
% 5.64/5.86 = ( ap @ V5r__new @ V1v__new ) )
% 5.64/5.86 => ( ( ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH @ A_27c @ A_27a ) @ V0v__old ) @ V2rows__old )
% 5.64/5.86 = ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH @ A_27c @ A_27b ) @ V1v__new ) @ V3rows__new ) )
% 5.64/5.86 => ( ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH @ A_27c @ A_27a ) @ V0v__old ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27c ) ) ) @ V4r__old ) @ V2rows__old ) )
% 5.64/5.86 = ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH @ A_27c @ A_27b ) @ V1v__new ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27c ) ) ) @ V5r__new ) @ V3rows__new ) ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EpatternMatches_2EPMATCH__EXTEND__BOTH__ID,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,V0v: $i] :
% 5.64/5.86 ( ( mem @ V0v @ A_27a )
% 5.64/5.86 => ! [V1rows__old: $i] :
% 5.64/5.86 ( ( mem @ V1rows__old @ ( ty_2Elist_2Elist @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) )
% 5.64/5.86 => ! [V2rows__new: $i] :
% 5.64/5.86 ( ( mem @ V2rows__new @ ( ty_2Elist_2Elist @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) )
% 5.64/5.86 => ! [V3r: $i] :
% 5.64/5.86 ( ( mem @ V3r @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) )
% 5.64/5.86 => ( ( ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH @ A_27b @ A_27a ) @ V0v ) @ V1rows__old )
% 5.64/5.86 = ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH @ A_27b @ A_27a ) @ V0v ) @ V2rows__new ) )
% 5.64/5.86 => ( ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH @ A_27b @ A_27a ) @ V0v ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) @ V3r ) @ V1rows__old ) )
% 5.64/5.86 = ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH @ A_27b @ A_27a ) @ V0v ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) @ V3r ) @ V2rows__new ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EpatternMatches_2EPMATCH__EXTEND__OLD,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,A_27c: del,V0v__old: $i] :
% 5.64/5.86 ( ( mem @ V0v__old @ A_27a )
% 5.64/5.86 => ! [V1v__new: $i] :
% 5.64/5.86 ( ( mem @ V1v__new @ A_27b )
% 5.64/5.86 => ! [V2rows__old: $i] :
% 5.64/5.86 ( ( mem @ V2rows__old @ ( ty_2Elist_2Elist @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27c ) ) ) )
% 5.64/5.86 => ! [V3rows__new: $i] :
% 5.64/5.86 ( ( mem @ V3rows__new @ ( ty_2Elist_2Elist @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27c ) ) ) )
% 5.64/5.86 => ! [V4r__old: $i] :
% 5.64/5.86 ( ( mem @ V4r__old @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27c ) ) )
% 5.64/5.86 => ( ( ( ap @ V4r__old @ V0v__old )
% 5.64/5.86 = ( c_2Eoption_2ENONE @ A_27c ) )
% 5.64/5.86 => ( ( ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH @ A_27c @ A_27a ) @ V0v__old ) @ V2rows__old )
% 5.64/5.86 = ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH @ A_27c @ A_27b ) @ V1v__new ) @ V3rows__new ) )
% 5.64/5.86 => ( ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH @ A_27c @ A_27a ) @ V0v__old ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27c ) ) ) @ V4r__old ) @ V2rows__old ) )
% 5.64/5.86 = ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH @ A_27c @ A_27b ) @ V1v__new ) @ V3rows__new ) ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EpatternMatches_2EPMATCH__ROW__REMOVE__FUN,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0ff: $i] :
% 5.64/5.86 ( ( mem @ V0ff @ ( arr @ A_27a @ A_27b ) )
% 5.64/5.86 => ! [V1v: $i] :
% 5.64/5.86 ( ( mem @ V1v @ A_27a )
% 5.64/5.86 => ! [V2p: $i] :
% 5.64/5.86 ( ( mem @ V2p @ ( arr @ A_27c @ A_27a ) )
% 5.64/5.86 => ! [V3g: $i] :
% 5.64/5.86 ( ( mem @ V3g @ ( arr @ A_27c @ bool ) )
% 5.64/5.86 => ! [V4r: $i] :
% 5.64/5.86 ( ( mem @ V4r @ ( arr @ A_27c @ A_27d ) )
% 5.64/5.86 => ( ! [V5x: $i] :
% 5.64/5.86 ( ( mem @ V5x @ A_27a )
% 5.64/5.86 => ! [V6y: $i] :
% 5.64/5.86 ( ( mem @ V6y @ A_27a )
% 5.64/5.86 => ( ( ( ap @ V0ff @ V5x )
% 5.64/5.86 = ( ap @ V0ff @ V6y ) )
% 5.64/5.86 => ( V5x = V6y ) ) ) )
% 5.64/5.86 => ( ( ap
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap @ ( c_2EpatternMatches_2EPMATCH__ROW @ A_27d @ A_27c @ A_27b )
% 5.64/5.86 @ ( lam @ A_27c
% 5.64/5.86 @ ^ [V7x: $i] : ( ap @ V0ff @ ( ap @ V2p @ V7x ) ) ) )
% 5.64/5.86 @ V3g )
% 5.64/5.86 @ V4r )
% 5.64/5.86 @ ( ap @ V0ff @ V1v ) )
% 5.64/5.86 = ( ap
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap @ ( c_2EpatternMatches_2EPMATCH__ROW @ A_27d @ A_27c @ A_27a )
% 5.64/5.86 @ ( lam @ A_27c
% 5.64/5.86 @ ^ [V8x: $i] : ( ap @ V2p @ V8x ) ) )
% 5.64/5.86 @ V3g )
% 5.64/5.86 @ V4r )
% 5.64/5.86 @ V1v ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EpatternMatches_2EPMATCH__ROW__EXTEND__INPUT,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,A_27e: del,A_27f: del,V0v: $i] :
% 5.64/5.86 ( ( mem @ V0v @ A_27a )
% 5.64/5.86 => ! [V1v_27: $i] :
% 5.64/5.86 ( ( mem @ V1v_27 @ A_27b )
% 5.64/5.86 => ! [V2f_27: $i] :
% 5.64/5.86 ( ( mem @ V2f_27 @ ( arr @ A_27b @ A_27c ) )
% 5.64/5.86 => ! [V3f: $i] :
% 5.64/5.86 ( ( mem @ V3f @ ( arr @ A_27d @ A_27e ) )
% 5.64/5.86 => ! [V4p: $i] :
% 5.64/5.86 ( ( mem @ V4p @ ( arr @ A_27e @ A_27a ) )
% 5.64/5.86 => ! [V5g: $i] :
% 5.64/5.86 ( ( mem @ V5g @ ( arr @ A_27c @ ( arr @ A_27e @ bool ) ) )
% 5.64/5.86 => ! [V6r: $i] :
% 5.64/5.86 ( ( mem @ V6r @ ( arr @ A_27c @ ( arr @ A_27e @ A_27f ) ) )
% 5.64/5.86 => ! [V7p_27: $i] :
% 5.64/5.86 ( ( mem @ V7p_27 @ ( arr @ A_27d @ A_27b ) )
% 5.64/5.86 => ( ( ! [V8x_27: $i] :
% 5.64/5.86 ( ( mem @ V8x_27 @ A_27d )
% 5.64/5.86 => ( ( V1v_27
% 5.64/5.86 = ( ap @ V7p_27 @ V8x_27 ) )
% 5.64/5.86 => ( ( ap @ V4p @ ( ap @ V3f @ V8x_27 ) )
% 5.64/5.86 = V0v ) ) )
% 5.64/5.86 & ! [V9x: $i] :
% 5.64/5.86 ( ( mem @ V9x @ A_27e )
% 5.64/5.86 => ( ( V0v
% 5.64/5.86 = ( ap @ V4p @ V9x ) )
% 5.64/5.86 => ? [V10x_27: $i] :
% 5.64/5.86 ( ( mem @ V10x_27 @ A_27d )
% 5.64/5.86 & ( ( ap @ V7p_27 @ V10x_27 )
% 5.64/5.86 = V1v_27 ) ) ) )
% 5.64/5.86 & ! [V11x: $i] :
% 5.64/5.86 ( ( mem @ V11x @ A_27e )
% 5.64/5.86 => ! [V12y: $i] :
% 5.64/5.86 ( ( mem @ V12y @ A_27e )
% 5.64/5.86 => ( ( ( ap @ V4p @ V11x )
% 5.64/5.86 = ( ap @ V4p @ V12y ) )
% 5.64/5.86 => ( V11x = V12y ) ) ) ) )
% 5.64/5.86 => ( ( ap @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__ROW @ A_27f @ A_27e @ A_27a ) @ V4p ) @ ( ap @ V5g @ ( ap @ V2f_27 @ V1v_27 ) ) ) @ ( ap @ V6r @ ( ap @ V2f_27 @ V1v_27 ) ) ) @ V0v )
% 5.64/5.86 = ( ap
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__ROW @ A_27f @ A_27d @ A_27b ) @ V7p_27 )
% 5.64/5.86 @ ( lam @ A_27d
% 5.64/5.86 @ ^ [V13x: $i] : ( ap @ ( ap @ V5g @ ( ap @ V2f_27 @ ( ap @ V7p_27 @ V13x ) ) ) @ ( ap @ V3f @ V13x ) ) ) )
% 5.64/5.86 @ ( lam @ A_27d
% 5.64/5.86 @ ^ [V14x: $i] : ( ap @ ( ap @ V6r @ ( ap @ V2f_27 @ ( ap @ V7p_27 @ V14x ) ) ) @ ( ap @ V3f @ V14x ) ) ) )
% 5.64/5.86 @ V1v_27 ) ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EpatternMatches_2EPMATCH__ROW__REMOVE__FUN__VAR,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,A_27e: del,V0v: $i] :
% 5.64/5.86 ( ( mem @ V0v @ A_27a )
% 5.64/5.86 => ! [V1v_27: $i] :
% 5.64/5.86 ( ( mem @ V1v_27 @ A_27b )
% 5.64/5.86 => ! [V2f: $i] :
% 5.64/5.86 ( ( mem @ V2f @ ( arr @ A_27c @ A_27d ) )
% 5.64/5.86 => ! [V3p: $i] :
% 5.64/5.86 ( ( mem @ V3p @ ( arr @ A_27d @ A_27a ) )
% 5.64/5.86 => ! [V4g: $i] :
% 5.64/5.86 ( ( mem @ V4g @ ( arr @ A_27d @ bool ) )
% 5.64/5.86 => ! [V5r: $i] :
% 5.64/5.86 ( ( mem @ V5r @ ( arr @ A_27d @ A_27e ) )
% 5.64/5.86 => ! [V6p_27: $i] :
% 5.64/5.86 ( ( mem @ V6p_27 @ ( arr @ A_27c @ A_27b ) )
% 5.64/5.86 => ( ( ! [V7x_27: $i] :
% 5.64/5.86 ( ( mem @ V7x_27 @ A_27c )
% 5.64/5.86 => ( ( V1v_27
% 5.64/5.86 = ( ap @ V6p_27 @ V7x_27 ) )
% 5.64/5.86 <=> ( ( ap @ V3p @ ( ap @ V2f @ V7x_27 ) )
% 5.64/5.86 = V0v ) ) )
% 5.64/5.86 & ! [V8x: $i] :
% 5.64/5.86 ( ( mem @ V8x @ A_27d )
% 5.64/5.86 => ( ( V0v
% 5.64/5.86 = ( ap @ V3p @ V8x ) )
% 5.64/5.86 => ? [V9x_27: $i] :
% 5.64/5.86 ( ( mem @ V9x_27 @ A_27c )
% 5.64/5.86 & ( ( ap @ V2f @ V9x_27 )
% 5.64/5.86 = V8x ) ) ) )
% 5.64/5.86 & ! [V10x: $i] :
% 5.64/5.86 ( ( mem @ V10x @ A_27d )
% 5.64/5.86 => ! [V11y: $i] :
% 5.64/5.86 ( ( mem @ V11y @ A_27d )
% 5.64/5.86 => ( ( ( ap @ V3p @ V10x )
% 5.64/5.86 = ( ap @ V3p @ V11y ) )
% 5.64/5.86 => ( V10x = V11y ) ) ) ) )
% 5.64/5.86 => ( ( ap @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__ROW @ A_27e @ A_27d @ A_27a ) @ V3p ) @ V4g ) @ V5r ) @ V0v )
% 5.64/5.86 = ( ap
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__ROW @ A_27e @ A_27c @ A_27b ) @ V6p_27 )
% 5.64/5.86 @ ( lam @ A_27c
% 5.64/5.86 @ ^ [V12x: $i] : ( ap @ V4g @ ( ap @ V2f @ V12x ) ) ) )
% 5.64/5.86 @ ( lam @ A_27c
% 5.64/5.86 @ ^ [V13x: $i] : ( ap @ V5r @ ( ap @ V2f @ V13x ) ) ) )
% 5.64/5.86 @ V1v_27 ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(ax_thm_2EpatternMatches_2EPMATCH__EQUIV__ROWS__def,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,V0v: $i] :
% 5.64/5.86 ( ( mem @ V0v @ A_27a )
% 5.64/5.86 => ! [V1rows1: $i] :
% 5.64/5.86 ( ( mem @ V1rows1 @ ( ty_2Elist_2Elist @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) )
% 5.64/5.86 => ! [V2rows2: $i] :
% 5.64/5.86 ( ( mem @ V2rows2 @ ( ty_2Elist_2Elist @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) )
% 5.64/5.86 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__EQUIV__ROWS @ A_27a @ A_27b ) @ V0v ) @ V1rows1 ) @ V2rows2 ) )
% 5.64/5.86 <=> ( ( ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH @ A_27b @ A_27a ) @ V0v ) @ V1rows1 )
% 5.64/5.86 = ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH @ A_27b @ A_27a ) @ V0v ) @ V2rows2 ) )
% 5.64/5.86 & ( ? [V3r: $i] :
% 5.64/5.86 ( ( mem @ V3r @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) )
% 5.64/5.86 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) @ V3r ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) @ V1rows1 ) ) )
% 5.64/5.86 & ( p @ ( ap @ ( c_2Eoption_2EIS__SOME @ A_27b ) @ ( ap @ V3r @ V0v ) ) ) )
% 5.64/5.86 <=> ? [V4r: $i] :
% 5.64/5.86 ( ( mem @ V4r @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) )
% 5.64/5.86 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) @ V4r ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) @ V2rows2 ) ) )
% 5.64/5.86 & ( p @ ( ap @ ( c_2Eoption_2EIS__SOME @ A_27b ) @ ( ap @ V4r @ V0v ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EpatternMatches_2EPMATCH__EQUIV__ROWS__EQUIV__EXPAND,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,V0v: $i] :
% 5.64/5.86 ( ( mem @ V0v @ A_27a )
% 5.64/5.86 => ! [V1rows1: $i] :
% 5.64/5.86 ( ( mem @ V1rows1 @ ( ty_2Elist_2Elist @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) )
% 5.64/5.86 => ! [V2rows2: $i] :
% 5.64/5.86 ( ( mem @ V2rows2 @ ( ty_2Elist_2Elist @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) )
% 5.64/5.86 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__EQUIV__ROWS @ A_27a @ A_27b ) @ V0v ) @ V1rows1 ) @ V2rows2 ) )
% 5.64/5.86 <=> ( ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__EQUIV__ROWS @ A_27a @ A_27b ) @ V0v ) @ V1rows1 )
% 5.64/5.86 = ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__EQUIV__ROWS @ A_27a @ A_27b ) @ V0v ) @ V2rows2 ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EpatternMatches_2EPMATCH__EQUIV__ROWS__is__equiv__1,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,V0v: $i] :
% 5.64/5.86 ( ( mem @ V0v @ A_27a )
% 5.64/5.86 => ! [V1rows: $i] :
% 5.64/5.86 ( ( mem @ V1rows @ ( ty_2Elist_2Elist @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) )
% 5.64/5.86 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__EQUIV__ROWS @ A_27a @ A_27b ) @ V0v ) @ V1rows ) @ V1rows ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EpatternMatches_2EPMATCH__EQUIV__ROWS__is__equiv__2,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,V0v: $i] :
% 5.64/5.86 ( ( mem @ V0v @ A_27a )
% 5.64/5.86 => ! [V1rows1: $i] :
% 5.64/5.86 ( ( mem @ V1rows1 @ ( ty_2Elist_2Elist @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) )
% 5.64/5.86 => ! [V2rows2: $i] :
% 5.64/5.86 ( ( mem @ V2rows2 @ ( ty_2Elist_2Elist @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) )
% 5.64/5.86 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__EQUIV__ROWS @ A_27a @ A_27b ) @ V0v ) @ V1rows1 ) @ V2rows2 ) )
% 5.64/5.86 <=> ( p @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__EQUIV__ROWS @ A_27a @ A_27b ) @ V0v ) @ V2rows2 ) @ V1rows1 ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EpatternMatches_2EPMATCH__EQUIV__ROWS__is__equiv__3,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,V0v: $i] :
% 5.64/5.86 ( ( mem @ V0v @ A_27a )
% 5.64/5.86 => ! [V1rows1: $i] :
% 5.64/5.86 ( ( mem @ V1rows1 @ ( ty_2Elist_2Elist @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) )
% 5.64/5.86 => ! [V2rows2: $i] :
% 5.64/5.86 ( ( mem @ V2rows2 @ ( ty_2Elist_2Elist @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) )
% 5.64/5.86 => ! [V3rows3: $i] :
% 5.64/5.86 ( ( mem @ V3rows3 @ ( ty_2Elist_2Elist @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) )
% 5.64/5.86 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__EQUIV__ROWS @ A_27a @ A_27b ) @ V0v ) @ V1rows1 ) @ V2rows2 ) )
% 5.64/5.86 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__EQUIV__ROWS @ A_27a @ A_27b ) @ V0v ) @ V2rows2 ) @ V3rows3 ) )
% 5.64/5.86 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__EQUIV__ROWS @ A_27a @ A_27b ) @ V0v ) @ V1rows1 ) @ V3rows3 ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EpatternMatches_2EPMATCH__EQUIV__ROWS__MATCH,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,V0v: $i] :
% 5.64/5.86 ( ( mem @ V0v @ A_27a )
% 5.64/5.86 => ! [V1rows1: $i] :
% 5.64/5.86 ( ( mem @ V1rows1 @ ( ty_2Elist_2Elist @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) )
% 5.64/5.86 => ! [V2rows2: $i] :
% 5.64/5.86 ( ( mem @ V2rows2 @ ( ty_2Elist_2Elist @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) )
% 5.64/5.86 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__EQUIV__ROWS @ A_27a @ A_27b ) @ V0v ) @ V1rows1 ) @ V2rows2 ) )
% 5.64/5.86 => ( ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH @ A_27b @ A_27a ) @ V0v ) @ V1rows1 )
% 5.64/5.86 = ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH @ A_27b @ A_27a ) @ V0v ) @ V2rows2 ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EpatternMatches_2EPMATCH__APPEND__SEM,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,V0v: $i] :
% 5.64/5.86 ( ( mem @ V0v @ A_27a )
% 5.64/5.86 => ! [V1rows1: $i] :
% 5.64/5.86 ( ( mem @ V1rows1 @ ( ty_2Elist_2Elist @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) )
% 5.64/5.86 => ! [V2rows2: $i] :
% 5.64/5.86 ( ( mem @ V2rows2 @ ( ty_2Elist_2Elist @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) )
% 5.64/5.86 => ( ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH @ A_27b @ A_27a ) @ V0v ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) @ V1rows1 ) @ V2rows2 ) )
% 5.64/5.86 = ( ap
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap @ ( c_2Ebool_2ECOND @ A_27b )
% 5.64/5.86 @ ( ap @ ( c_2Ebool_2E_3F @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) )
% 5.64/5.86 @ ( lam @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) )
% 5.64/5.86 @ ^ [V3r: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) @ V3r ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) @ V1rows1 ) ) ) @ ( ap @ ( c_2Eoption_2EIS__SOME @ A_27b ) @ ( ap @ V3r @ V0v ) ) ) ) ) )
% 5.64/5.86 @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH @ A_27b @ A_27a ) @ V0v ) @ V1rows1 ) )
% 5.64/5.86 @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH @ A_27b @ A_27a ) @ V0v ) @ V2rows2 ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EpatternMatches_2EPMATCH__EQUIV__APPEND,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,V0v: $i] :
% 5.64/5.86 ( ( mem @ V0v @ A_27a )
% 5.64/5.86 => ! [V1rows1a: $i] :
% 5.64/5.86 ( ( mem @ V1rows1a @ ( ty_2Elist_2Elist @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) )
% 5.64/5.86 => ! [V2rows1b: $i] :
% 5.64/5.86 ( ( mem @ V2rows1b @ ( ty_2Elist_2Elist @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) )
% 5.64/5.86 => ! [V3rows2a: $i] :
% 5.64/5.86 ( ( mem @ V3rows2a @ ( ty_2Elist_2Elist @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) )
% 5.64/5.86 => ! [V4rows2b: $i] :
% 5.64/5.86 ( ( mem @ V4rows2b @ ( ty_2Elist_2Elist @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) )
% 5.64/5.86 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__EQUIV__ROWS @ A_27a @ A_27b ) @ V0v ) @ V1rows1a ) @ V2rows1b ) )
% 5.64/5.86 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__EQUIV__ROWS @ A_27a @ A_27b ) @ V0v ) @ V3rows2a ) @ V4rows2b ) )
% 5.64/5.86 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__EQUIV__ROWS @ A_27a @ A_27b ) @ V0v ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) @ V1rows1a ) @ V3rows2a ) ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) @ V2rows1b ) @ V4rows2b ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EpatternMatches_2EPMATCH__EQUIV__ROWS__CONS__NONE,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,V0row: $i] :
% 5.64/5.86 ( ( mem @ V0row @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27a ) ) )
% 5.64/5.86 => ! [V1v: $i] :
% 5.64/5.86 ( ( mem @ V1v @ A_27b )
% 5.64/5.86 => ! [V2rows: $i] :
% 5.64/5.86 ( ( mem @ V2rows @ ( ty_2Elist_2Elist @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27a ) ) ) )
% 5.64/5.86 => ( ( ( ap @ V0row @ V1v )
% 5.64/5.86 = ( c_2Eoption_2ENONE @ A_27a ) )
% 5.64/5.86 => ( ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__EQUIV__ROWS @ A_27b @ A_27a ) @ V1v ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27a ) ) ) @ V0row ) @ V2rows ) )
% 5.64/5.86 = ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__EQUIV__ROWS @ A_27b @ A_27a ) @ V1v ) @ V2rows ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EpatternMatches_2EPMATCH__ROWS__DROP__REDUNDANT__TRIVIAL__SOUNDNESS__EQUIV,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,V0v: $i] :
% 5.64/5.86 ( ( mem @ V0v @ A_27a )
% 5.64/5.86 => ! [V1rows: $i] :
% 5.64/5.86 ( ( mem @ V1rows @ ( ty_2Elist_2Elist @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) )
% 5.64/5.86 => ! [V2n: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) @ V1rows ) ) )
% 5.64/5.86 & ( p @ ( ap @ ( c_2Eoption_2EIS__SOME @ A_27b ) @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2EEL @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ V1rows ) @ V0v ) ) ) )
% 5.64/5.86 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__EQUIV__ROWS @ A_27a @ A_27b ) @ V0v ) @ V1rows ) @ ( ap @ ( ap @ ( c_2Elist_2ETAKE @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) @ V1rows ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EpatternMatches_2EPMATCH__ROWS__DROP__REDUNDANT__TRIVIAL__SOUNDNESS,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,V0v: $i] :
% 5.64/5.86 ( ( mem @ V0v @ A_27a )
% 5.64/5.86 => ! [V1rows: $i] :
% 5.64/5.86 ( ( mem @ V1rows @ ( ty_2Elist_2Elist @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) )
% 5.64/5.86 => ! [V2n: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) @ V1rows ) ) )
% 5.64/5.86 & ( p @ ( ap @ ( c_2Eoption_2EIS__SOME @ A_27b ) @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2EEL @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ V1rows ) @ V0v ) ) ) )
% 5.64/5.86 => ( ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH @ A_27b @ A_27a ) @ V0v ) @ V1rows )
% 5.64/5.86 = ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH @ A_27b @ A_27a ) @ V0v ) @ ( ap @ ( ap @ ( c_2Elist_2ETAKE @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) @ V1rows ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EpatternMatches_2EPMATCH__ROWS__DROP__REDUNDANT,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,V0r1: $i] :
% 5.64/5.86 ( ( mem @ V0r1 @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) )
% 5.64/5.86 => ! [V1r2: $i] :
% 5.64/5.86 ( ( mem @ V1r2 @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) )
% 5.64/5.86 => ! [V2rows1: $i] :
% 5.64/5.86 ( ( mem @ V2rows1 @ ( ty_2Elist_2Elist @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) )
% 5.64/5.86 => ! [V3rows2: $i] :
% 5.64/5.86 ( ( mem @ V3rows2 @ ( ty_2Elist_2Elist @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) )
% 5.64/5.86 => ! [V4rows3: $i] :
% 5.64/5.86 ( ( mem @ V4rows3 @ ( ty_2Elist_2Elist @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) )
% 5.64/5.86 => ! [V5v: $i] :
% 5.64/5.86 ( ( mem @ V5v @ A_27a )
% 5.64/5.86 => ( ( ( p @ ( ap @ ( c_2Eoption_2EIS__SOME @ A_27b ) @ ( ap @ V1r2 @ V5v ) ) )
% 5.64/5.86 => ( p @ ( ap @ ( c_2Eoption_2EIS__SOME @ A_27b ) @ ( ap @ V0r1 @ V5v ) ) ) )
% 5.64/5.86 => ( ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH @ A_27b @ A_27a ) @ V5v ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) @ V2rows1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) @ V0r1 ) @ V3rows2 ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) @ V1r2 ) @ V4rows3 ) ) )
% 5.64/5.86 = ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH @ A_27b @ A_27a ) @ V5v ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) @ V2rows1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) @ V0r1 ) @ V3rows2 ) ) ) @ V4rows3 ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EpatternMatches_2EPMATCH__ROWS__DROP__REDUNDANT__PMATCH__ROWS,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0p: $i] :
% 5.64/5.86 ( ( mem @ V0p @ ( arr @ A_27a @ A_27b ) )
% 5.64/5.86 => ! [V1g: $i] :
% 5.64/5.86 ( ( mem @ V1g @ ( arr @ A_27a @ bool ) )
% 5.64/5.86 => ! [V2r: $i] :
% 5.64/5.86 ( ( mem @ V2r @ ( arr @ A_27a @ A_27c ) )
% 5.64/5.86 => ! [V3p_27: $i] :
% 5.64/5.86 ( ( mem @ V3p_27 @ ( arr @ A_27d @ A_27b ) )
% 5.64/5.86 => ! [V4g_27: $i] :
% 5.64/5.86 ( ( mem @ V4g_27 @ ( arr @ A_27d @ bool ) )
% 5.64/5.86 => ! [V5r_27: $i] :
% 5.64/5.86 ( ( mem @ V5r_27 @ ( arr @ A_27d @ A_27c ) )
% 5.64/5.86 => ! [V6rows1: $i] :
% 5.64/5.86 ( ( mem @ V6rows1 @ ( ty_2Elist_2Elist @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27c ) ) ) )
% 5.64/5.86 => ! [V7rows2: $i] :
% 5.64/5.86 ( ( mem @ V7rows2 @ ( ty_2Elist_2Elist @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27c ) ) ) )
% 5.64/5.86 => ! [V8rows3: $i] :
% 5.64/5.86 ( ( mem @ V8rows3 @ ( ty_2Elist_2Elist @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27c ) ) ) )
% 5.64/5.86 => ! [V9v: $i] :
% 5.64/5.86 ( ( mem @ V9v @ A_27b )
% 5.64/5.86 => ( ! [V10x_27: $i] :
% 5.64/5.86 ( ( mem @ V10x_27 @ A_27d )
% 5.64/5.86 => ( ( ( V9v
% 5.64/5.86 = ( ap @ V3p_27 @ V10x_27 ) )
% 5.64/5.86 & ( p @ ( ap @ V4g_27 @ V10x_27 ) ) )
% 5.64/5.86 => ? [V11x: $i] :
% 5.64/5.86 ( ( mem @ V11x @ A_27a )
% 5.64/5.86 & ( ( ap @ V3p_27 @ V10x_27 )
% 5.64/5.86 = ( ap @ V0p @ V11x ) )
% 5.64/5.86 & ( p @ ( ap @ V1g @ V11x ) ) ) ) )
% 5.64/5.86 => ( ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH @ A_27c @ A_27b ) @ V9v ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27c ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27c ) ) ) @ V6rows1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27c ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__ROW @ A_27c @ A_27a @ A_27b ) @ V0p ) @ V1g ) @ V2r ) ) @ V7rows2 ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27c ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__ROW @ A_27c @ A_27d @ A_27b ) @ V3p_27 ) @ V4g_27 ) @ V5r_27 ) ) @ V8rows3 ) ) )
% 5.64/5.86 = ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH @ A_27c @ A_27b ) @ V9v ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27c ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27c ) ) ) @ V6rows1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27c ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__ROW @ A_27c @ A_27a @ A_27b ) @ V0p ) @ V1g ) @ V2r ) ) @ V7rows2 ) ) ) @ V8rows3 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EpatternMatches_2EPMATCH__ROWS__DROP__SUBSUMED,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,V0r1: $i] :
% 5.64/5.86 ( ( mem @ V0r1 @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) )
% 5.64/5.86 => ! [V1r2: $i] :
% 5.64/5.86 ( ( mem @ V1r2 @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) )
% 5.64/5.86 => ! [V2rows1: $i] :
% 5.64/5.86 ( ( mem @ V2rows1 @ ( ty_2Elist_2Elist @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) )
% 5.64/5.86 => ! [V3rows2: $i] :
% 5.64/5.86 ( ( mem @ V3rows2 @ ( ty_2Elist_2Elist @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) )
% 5.64/5.86 => ! [V4rows3: $i] :
% 5.64/5.86 ( ( mem @ V4rows3 @ ( ty_2Elist_2Elist @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) )
% 5.64/5.86 => ! [V5v: $i] :
% 5.64/5.86 ( ( mem @ V5v @ A_27a )
% 5.64/5.86 => ( ( ! [V6x: $i] :
% 5.64/5.86 ( ( mem @ V6x @ A_27b )
% 5.64/5.86 => ( ( ( ap @ V0r1 @ V5v )
% 5.64/5.86 = ( ap @ ( c_2Eoption_2ESOME @ A_27b ) @ V6x ) )
% 5.64/5.86 => ( ( ap @ V1r2 @ V5v )
% 5.64/5.86 = ( ap @ ( c_2Eoption_2ESOME @ A_27b ) @ V6x ) ) ) )
% 5.64/5.86 & ( ( p @ ( ap @ ( c_2Eoption_2EIS__SOME @ A_27b ) @ ( ap @ V0r1 @ V5v ) ) )
% 5.64/5.86 => ( p
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap @ ( c_2Elist_2EEVERY @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) )
% 5.64/5.86 @ ( lam @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) )
% 5.64/5.86 @ ^ [V7row: $i] : ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Eoption_2Eoption @ A_27b ) ) @ ( ap @ V7row @ V5v ) ) @ ( c_2Eoption_2ENONE @ A_27b ) ) ) )
% 5.64/5.86 @ V3rows2 ) ) ) )
% 5.64/5.86 => ( ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH @ A_27b @ A_27a ) @ V5v ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) @ V2rows1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) @ V0r1 ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) @ V3rows2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) @ V1r2 ) @ V4rows3 ) ) ) ) )
% 5.64/5.86 = ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH @ A_27b @ A_27a ) @ V5v ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) @ V2rows1 ) @ V3rows2 ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) @ V1r2 ) @ V4rows3 ) ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EpatternMatches_2EPMATCH__ROWS__DROP__SUBSUMED__PMATCH__ROWS,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0p: $i] :
% 5.64/5.86 ( ( mem @ V0p @ ( arr @ A_27a @ A_27b ) )
% 5.64/5.86 => ! [V1g: $i] :
% 5.64/5.86 ( ( mem @ V1g @ ( arr @ A_27a @ bool ) )
% 5.64/5.86 => ! [V2r: $i] :
% 5.64/5.86 ( ( mem @ V2r @ ( arr @ A_27a @ A_27c ) )
% 5.64/5.86 => ! [V3p_27: $i] :
% 5.64/5.86 ( ( mem @ V3p_27 @ ( arr @ A_27d @ A_27b ) )
% 5.64/5.86 => ! [V4g_27: $i] :
% 5.64/5.86 ( ( mem @ V4g_27 @ ( arr @ A_27d @ bool ) )
% 5.64/5.86 => ! [V5r_27: $i] :
% 5.64/5.86 ( ( mem @ V5r_27 @ ( arr @ A_27d @ A_27c ) )
% 5.64/5.86 => ! [V6rows1: $i] :
% 5.64/5.86 ( ( mem @ V6rows1 @ ( ty_2Elist_2Elist @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27c ) ) ) )
% 5.64/5.86 => ! [V7rows2: $i] :
% 5.64/5.86 ( ( mem @ V7rows2 @ ( ty_2Elist_2Elist @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27c ) ) ) )
% 5.64/5.86 => ! [V8rows3: $i] :
% 5.64/5.86 ( ( mem @ V8rows3 @ ( ty_2Elist_2Elist @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27c ) ) ) )
% 5.64/5.86 => ! [V9v: $i] :
% 5.64/5.86 ( ( mem @ V9v @ A_27b )
% 5.64/5.86 => ( ( ! [V10x: $i] :
% 5.64/5.86 ( ( mem @ V10x @ A_27a )
% 5.64/5.86 => ( ( ( V9v
% 5.64/5.86 = ( ap @ V0p @ V10x ) )
% 5.64/5.86 & ( p @ ( ap @ V1g @ V10x ) ) )
% 5.64/5.86 => ? [V11x_27: $i] :
% 5.64/5.86 ( ( mem @ V11x_27 @ A_27d )
% 5.64/5.86 & ( ( ap @ V0p @ V10x )
% 5.64/5.86 = ( ap @ V3p_27 @ V11x_27 ) )
% 5.64/5.86 & ( p @ ( ap @ V4g_27 @ V11x_27 ) ) ) ) )
% 5.64/5.86 & ! [V12x: $i] :
% 5.64/5.86 ( ( mem @ V12x @ A_27a )
% 5.64/5.86 => ! [V13x_27: $i] :
% 5.64/5.86 ( ( mem @ V13x_27 @ A_27d )
% 5.64/5.86 => ( ( ( V9v
% 5.64/5.86 = ( ap @ V0p @ V12x ) )
% 5.64/5.86 & ( ( ap @ V0p @ V12x )
% 5.64/5.86 = ( ap @ V3p_27 @ V13x_27 ) )
% 5.64/5.86 & ( p @ ( ap @ V1g @ V12x ) )
% 5.64/5.86 & ( p @ ( ap @ V4g_27 @ V13x_27 ) ) )
% 5.64/5.86 => ( ( ap @ V2r @ V12x )
% 5.64/5.86 = ( ap @ V5r_27 @ V13x_27 ) ) ) ) )
% 5.64/5.86 & ! [V14x: $i] :
% 5.64/5.86 ( ( mem @ V14x @ A_27a )
% 5.64/5.86 => ( ( ( V9v
% 5.64/5.86 = ( ap @ V0p @ V14x ) )
% 5.64/5.86 & ( p @ ( ap @ V1g @ V14x ) ) )
% 5.64/5.86 => ( p
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap @ ( c_2Elist_2EEVERY @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27c ) ) )
% 5.64/5.86 @ ( lam @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27c ) )
% 5.64/5.86 @ ^ [V15row: $i] : ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Eoption_2Eoption @ A_27c ) ) @ ( ap @ V15row @ ( ap @ V0p @ V14x ) ) ) @ ( c_2Eoption_2ENONE @ A_27c ) ) ) )
% 5.64/5.86 @ V7rows2 ) ) ) ) )
% 5.64/5.86 => ( ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH @ A_27c @ A_27b ) @ V9v ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27c ) ) ) @ V6rows1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27c ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__ROW @ A_27c @ A_27a @ A_27b ) @ V0p ) @ V1g ) @ V2r ) ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27c ) ) ) @ V7rows2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27c ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__ROW @ A_27c @ A_27d @ A_27b ) @ V3p_27 ) @ V4g_27 ) @ V5r_27 ) ) @ V8rows3 ) ) ) ) )
% 5.64/5.86 = ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH @ A_27c @ A_27b ) @ V9v ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27c ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27c ) ) ) @ V6rows1 ) @ V7rows2 ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27c ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__ROW @ A_27c @ A_27d @ A_27b ) @ V3p_27 ) @ V4g_27 ) @ V5r_27 ) ) @ V8rows3 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EpatternMatches_2EPMATCH__REMOVE__ARB,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,A_27c: del,V0p: $i] :
% 5.64/5.86 ( ( mem @ V0p @ ( arr @ A_27a @ A_27b ) )
% 5.64/5.86 => ! [V1g: $i] :
% 5.64/5.86 ( ( mem @ V1g @ ( arr @ A_27a @ bool ) )
% 5.64/5.86 => ! [V2r: $i] :
% 5.64/5.86 ( ( mem @ V2r @ ( arr @ A_27a @ A_27c ) )
% 5.64/5.86 => ! [V3v: $i] :
% 5.64/5.86 ( ( mem @ V3v @ A_27b )
% 5.64/5.86 => ! [V4rows: $i] :
% 5.64/5.86 ( ( mem @ V4rows @ ( ty_2Elist_2Elist @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27c ) ) ) )
% 5.64/5.86 => ( ! [V5x: $i] :
% 5.64/5.86 ( ( mem @ V5x @ A_27a )
% 5.64/5.86 => ( ( ap @ V2r @ V5x )
% 5.64/5.86 = ( c_2Ebool_2EARB @ A_27c ) ) )
% 5.64/5.86 => ( ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH @ A_27c @ A_27b ) @ V3v ) @ ( ap @ ( ap @ ( c_2Elist_2ESNOC @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27c ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__ROW @ A_27c @ A_27a @ A_27b ) @ V0p ) @ V1g ) @ V2r ) ) @ V4rows ) )
% 5.64/5.86 = ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH @ A_27c @ A_27b ) @ V3v ) @ V4rows ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EpatternMatches_2EPMATCH__INTRO__CATCHALL,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,V0v: $i] :
% 5.64/5.86 ( ( mem @ V0v @ A_27b )
% 5.64/5.86 => ! [V1rows: $i] :
% 5.64/5.86 ( ( mem @ V1rows @ ( ty_2Elist_2Elist @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27a ) ) ) )
% 5.64/5.86 => ( ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH @ A_27a @ A_27b ) @ V0v ) @ V1rows )
% 5.64/5.86 = ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH @ A_27a @ A_27b ) @ V0v )
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap @ ( c_2Elist_2ESNOC @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27a ) ) )
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap @ ( c_2EpatternMatches_2EPMATCH__ROW @ A_27a @ A_27b @ A_27b )
% 5.64/5.86 @ ( lam @ A_27b
% 5.64/5.86 @ ^ [V2__0: $i] : V2__0 ) )
% 5.64/5.86 @ ( lam @ A_27b
% 5.64/5.86 @ ^ [V3__0: $i] : c_2Ebool_2ET ) )
% 5.64/5.86 @ ( lam @ A_27b
% 5.64/5.86 @ ^ [V4__0: $i] : ( c_2Ebool_2EARB @ A_27a ) ) ) )
% 5.64/5.86 @ V1rows ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EpatternMatches_2EPMATCH__REMOVE__ARB__NO__OVERLAP,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,A_27c: del,V0v: $i] :
% 5.64/5.86 ( ( mem @ V0v @ A_27a )
% 5.64/5.86 => ! [V1p: $i] :
% 5.64/5.86 ( ( mem @ V1p @ ( arr @ A_27b @ A_27a ) )
% 5.64/5.86 => ! [V2g: $i] :
% 5.64/5.86 ( ( mem @ V2g @ ( arr @ A_27b @ bool ) )
% 5.64/5.86 => ! [V3r: $i] :
% 5.64/5.86 ( ( mem @ V3r @ ( arr @ A_27b @ A_27c ) )
% 5.64/5.86 => ! [V4rows1: $i] :
% 5.64/5.86 ( ( mem @ V4rows1 @ ( ty_2Elist_2Elist @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27c ) ) ) )
% 5.64/5.86 => ! [V5rows2: $i] :
% 5.64/5.86 ( ( mem @ V5rows2 @ ( ty_2Elist_2Elist @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27c ) ) ) )
% 5.64/5.86 => ( ( ! [V6x: $i] :
% 5.64/5.86 ( ( mem @ V6x @ A_27b )
% 5.64/5.86 => ( ( ap @ V3r @ V6x )
% 5.64/5.86 = ( c_2Ebool_2EARB @ A_27c ) ) )
% 5.64/5.86 & ! [V7x: $i] :
% 5.64/5.86 ( ( mem @ V7x @ A_27b )
% 5.64/5.86 => ( ( ( V0v
% 5.64/5.86 = ( ap @ V1p @ V7x ) )
% 5.64/5.86 & ( p @ ( ap @ V2g @ V7x ) ) )
% 5.64/5.86 => ( p
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap @ ( c_2Elist_2EEVERY @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27c ) ) )
% 5.64/5.86 @ ( lam @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27c ) )
% 5.64/5.86 @ ^ [V8row: $i] : ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Eoption_2Eoption @ A_27c ) ) @ ( ap @ V8row @ ( ap @ V1p @ V7x ) ) ) @ ( c_2Eoption_2ENONE @ A_27c ) ) ) )
% 5.64/5.86 @ V5rows2 ) ) ) ) )
% 5.64/5.86 => ( ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH @ A_27c @ A_27a ) @ V0v ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27c ) ) ) @ V4rows1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27c ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__ROW @ A_27c @ A_27b @ A_27a ) @ V1p ) @ V2g ) @ V3r ) ) @ V5rows2 ) ) )
% 5.64/5.86 = ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH @ A_27c @ A_27a ) @ V0v ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27c ) ) ) @ V4rows1 ) @ V5rows2 ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(ax_thm_2EpatternMatches_2EPMATCH__ROW__REDUNDANT__def,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,V0v: $i] :
% 5.64/5.86 ( ( mem @ V0v @ A_27a )
% 5.64/5.86 => ! [V1rs: $i] :
% 5.64/5.86 ( ( mem @ V1rs @ ( ty_2Elist_2Elist @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) )
% 5.64/5.86 => ! [V2i: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__ROW__REDUNDANT @ A_27a @ A_27b ) @ V0v ) @ V1rs ) @ ( inj__ty_2Enum_2Enum @ V2i ) ) )
% 5.64/5.86 <=> ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V2i ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) @ V1rs ) ) )
% 5.64/5.86 & ( ( p @ ( ap @ ( c_2Eoption_2EIS__SOME @ A_27b ) @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2EEL @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) @ ( inj__ty_2Enum_2Enum @ V2i ) ) @ V1rs ) @ V0v ) ) )
% 5.64/5.86 => ? [V3j: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V3j ) ) @ ( inj__ty_2Enum_2Enum @ V2i ) ) )
% 5.64/5.86 & ( p @ ( ap @ ( c_2Eoption_2EIS__SOME @ A_27b ) @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2EEL @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) @ ( inj__ty_2Enum_2Enum @ V3j ) ) @ V1rs ) @ V0v ) ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EpatternMatches_2EPMATCH__ROW__REDUNDANT__NIL,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,V0v: $i] :
% 5.64/5.86 ( ( mem @ V0v @ A_27a )
% 5.64/5.86 => ! [V1i: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__ROW__REDUNDANT @ A_27a @ A_27b ) @ V0v ) @ ( c_2Elist_2ENIL @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1i ) ) )
% 5.64/5.86 <=> $false ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EpatternMatches_2EPMATCH__ROW__REDUNDANT__0,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,V0v: $i] :
% 5.64/5.86 ( ( mem @ V0v @ A_27a )
% 5.64/5.86 => ! [V1r: $i] :
% 5.64/5.86 ( ( mem @ V1r @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) )
% 5.64/5.86 => ! [V2rs: $i] :
% 5.64/5.86 ( ( mem @ V2rs @ ( ty_2Elist_2Elist @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) )
% 5.64/5.86 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__ROW__REDUNDANT @ A_27a @ A_27b ) @ V0v ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) @ V1r ) @ V2rs ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.64/5.86 <=> ( ( ap @ V1r @ V0v )
% 5.64/5.86 = ( c_2Eoption_2ENONE @ A_27b ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EpatternMatches_2EPMATCH__ROW__REDUNDANT__SUC,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,V0v: $i] :
% 5.64/5.86 ( ( mem @ V0v @ A_27a )
% 5.64/5.86 => ! [V1r: $i] :
% 5.64/5.86 ( ( mem @ V1r @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) )
% 5.64/5.86 => ! [V2rs: $i] :
% 5.64/5.86 ( ( mem @ V2rs @ ( ty_2Elist_2Elist @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) )
% 5.64/5.86 => ! [V3i: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__ROW__REDUNDANT @ A_27a @ A_27b ) @ V0v ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) @ V1r ) @ V2rs ) ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V3i ) ) ) )
% 5.64/5.86 <=> ( ( ( ( ap @ V1r @ V0v )
% 5.64/5.86 != ( c_2Eoption_2ENONE @ A_27b ) )
% 5.64/5.86 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V3i ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) @ V2rs ) ) ) )
% 5.64/5.86 | ( p @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__ROW__REDUNDANT @ A_27a @ A_27b ) @ V0v ) @ V2rs ) @ ( inj__ty_2Enum_2Enum @ V3i ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EpatternMatches_2EPMATCH__ROW__REDUNDANT__APPEND__LT,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,V0v: $i] :
% 5.64/5.86 ( ( mem @ V0v @ A_27a )
% 5.64/5.86 => ! [V1rs1: $i] :
% 5.64/5.86 ( ( mem @ V1rs1 @ ( ty_2Elist_2Elist @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) )
% 5.64/5.86 => ! [V2rs2: $i] :
% 5.64/5.86 ( ( mem @ V2rs2 @ ( ty_2Elist_2Elist @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) )
% 5.64/5.86 => ! [V3i: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V3i ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) @ V1rs1 ) ) )
% 5.64/5.86 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__ROW__REDUNDANT @ A_27a @ A_27b ) @ V0v ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) @ V1rs1 ) @ V2rs2 ) ) @ ( inj__ty_2Enum_2Enum @ V3i ) ) )
% 5.64/5.86 <=> ( p @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__ROW__REDUNDANT @ A_27a @ A_27b ) @ V0v ) @ V1rs1 ) @ ( inj__ty_2Enum_2Enum @ V3i ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EpatternMatches_2EPMATCH__ROW__REDUNDANT__APPEND__GE,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,V0v: $i] :
% 5.64/5.86 ( ( mem @ V0v @ A_27a )
% 5.64/5.86 => ! [V1rs1: $i] :
% 5.64/5.86 ( ( mem @ V1rs1 @ ( ty_2Elist_2Elist @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) )
% 5.64/5.86 => ! [V2rs2: $i] :
% 5.64/5.86 ( ( mem @ V2rs2 @ ( ty_2Elist_2Elist @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) )
% 5.64/5.86 => ! [V3i: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ~ ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V3i ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) @ V1rs1 ) ) )
% 5.64/5.86 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__ROW__REDUNDANT @ A_27a @ A_27b ) @ V0v ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) @ V1rs1 ) @ V2rs2 ) ) @ ( inj__ty_2Enum_2Enum @ V3i ) ) )
% 5.64/5.86 <=> ( ( ~ ( p
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap @ ( c_2Elist_2EEVERY @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) )
% 5.64/5.86 @ ( lam @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) )
% 5.64/5.86 @ ^ [V4r: $i] : ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Eoption_2Eoption @ A_27b ) ) @ ( ap @ V4r @ V0v ) ) @ ( c_2Eoption_2ENONE @ A_27b ) ) ) )
% 5.64/5.86 @ V1rs1 ) )
% 5.64/5.86 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V3i ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( c_2Elist_2ELENGTH @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) @ V1rs1 ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) @ V2rs2 ) ) ) ) )
% 5.64/5.86 | ( p @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__ROW__REDUNDANT @ A_27a @ A_27b ) @ V0v ) @ V2rs2 ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V3i ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) @ V1rs1 ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(ax_thm_2EpatternMatches_2EIS__REDUNDANT__ROWS__INFO__def,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,V0v: $i] :
% 5.64/5.86 ( ( mem @ V0v @ A_27a )
% 5.64/5.86 => ! [V1rows: $i] :
% 5.64/5.86 ( ( mem @ V1rows @ ( ty_2Elist_2Elist @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) )
% 5.64/5.86 => ! [V2c: $i] :
% 5.64/5.86 ( ( mem @ V2c @ bool )
% 5.64/5.86 => ! [V3infos: tp__c_ty_2Elist_2Elist_o] :
% 5.64/5.86 ( ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EIS__REDUNDANT__ROWS__INFO @ A_27a @ A_27b ) @ V0v ) @ V1rows ) @ V2c ) @ ( inj__c_ty_2Elist_2Elist_o @ V3infos ) ) )
% 5.64/5.86 <=> ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) @ V1rows ) )
% 5.64/5.86 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ bool ) @ ( inj__c_ty_2Elist_2Elist_o @ V3infos ) ) ) )
% 5.64/5.86 & ! [V4i: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V4i ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) @ V1rows ) ) )
% 5.64/5.86 => ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EEL @ bool ) @ ( inj__ty_2Enum_2Enum @ V4i ) ) @ ( inj__c_ty_2Elist_2Elist_o @ V3infos ) ) )
% 5.64/5.86 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__ROW__REDUNDANT @ A_27a @ A_27b ) @ V0v ) @ V1rows ) @ ( inj__ty_2Enum_2Enum @ V4i ) ) ) ) )
% 5.64/5.86 & ( ( p
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap @ ( c_2Elist_2EEVERY @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) )
% 5.64/5.86 @ ( lam @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) )
% 5.64/5.86 @ ^ [V5r: $i] : ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Eoption_2Eoption @ A_27b ) ) @ ( ap @ V5r @ V0v ) ) @ ( c_2Eoption_2ENONE @ A_27b ) ) ) )
% 5.64/5.86 @ V1rows ) )
% 5.64/5.86 => ( p @ V2c ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EpatternMatches_2EIS__REDUNDANT__ROWS__INFO__NIL,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,V0v: $i] :
% 5.64/5.86 ( ( mem @ V0v @ A_27a )
% 5.64/5.86 => ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EIS__REDUNDANT__ROWS__INFO @ A_27a @ A_27b ) @ V0v ) @ ( c_2Elist_2ENIL @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) ) @ c_2Ebool_2ET ) @ ( c_2Elist_2ENIL @ bool ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EpatternMatches_2EIS__REDUNDANT__ROWS__INFO__SNOC,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,V0v: $i] :
% 5.64/5.86 ( ( mem @ V0v @ A_27a )
% 5.64/5.86 => ! [V1rows: $i] :
% 5.64/5.86 ( ( mem @ V1rows @ ( ty_2Elist_2Elist @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) )
% 5.64/5.86 => ! [V2c: $i] :
% 5.64/5.86 ( ( mem @ V2c @ bool )
% 5.64/5.86 => ! [V3infos: tp__c_ty_2Elist_2Elist_o,V4r: $i] :
% 5.64/5.86 ( ( mem @ V4r @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) )
% 5.64/5.86 => ! [V5i: $i] :
% 5.64/5.86 ( ( mem @ V5i @ bool )
% 5.64/5.86 => ! [V6c_27: $i] :
% 5.64/5.86 ( ( mem @ V6c_27 @ bool )
% 5.64/5.86 => ( ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EIS__REDUNDANT__ROWS__INFO @ A_27a @ A_27b ) @ V0v ) @ V1rows ) @ V2c ) @ ( inj__c_ty_2Elist_2Elist_o @ V3infos ) ) )
% 5.64/5.86 => ( ( ( ( ap @ V4r @ V0v )
% 5.64/5.86 = ( c_2Eoption_2ENONE @ A_27b ) )
% 5.64/5.86 => ( ( p @ V2c )
% 5.64/5.86 => ( p @ V6c_27 ) ) )
% 5.64/5.86 => ( ( ( p @ V2c )
% 5.64/5.86 => ( ( p @ V5i )
% 5.64/5.86 => ( ( ap @ V4r @ V0v )
% 5.64/5.86 = ( c_2Eoption_2ENONE @ A_27b ) ) ) )
% 5.64/5.86 => ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EIS__REDUNDANT__ROWS__INFO @ A_27a @ A_27b ) @ V0v ) @ ( ap @ ( ap @ ( c_2Elist_2ESNOC @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) @ V4r ) @ V1rows ) ) @ V6c_27 ) @ ( ap @ ( ap @ ( c_2Elist_2ESNOC @ bool ) @ V5i ) @ ( inj__c_ty_2Elist_2Elist_o @ V3infos ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(ax_thm_2EpatternMatches_2EPMATCH__ROW__COND__EX__def,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,V0i: $i] :
% 5.64/5.86 ( ( mem @ V0i @ A_27a )
% 5.64/5.86 => ! [V1p: $i] :
% 5.64/5.86 ( ( mem @ V1p @ ( arr @ A_27b @ A_27a ) )
% 5.64/5.86 => ! [V2g: $i] :
% 5.64/5.86 ( ( mem @ V2g @ ( arr @ A_27b @ bool ) )
% 5.64/5.86 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__ROW__COND__EX @ A_27a @ A_27b ) @ V0i ) @ V1p ) @ V2g ) )
% 5.64/5.86 <=> ? [V3x: $i] :
% 5.64/5.86 ( ( mem @ V3x @ A_27b )
% 5.64/5.86 & ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__ROW__COND @ A_27b @ A_27a ) @ V1p ) @ V2g ) @ V0i ) @ V3x ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EpatternMatches_2EIS__REDUNDANT__ROWS__INFO__SNOC__PMATCH__ROW,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,A_27c: del,V0v: $i] :
% 5.64/5.86 ( ( mem @ V0v @ A_27a )
% 5.64/5.86 => ! [V1rows: $i] :
% 5.64/5.86 ( ( mem @ V1rows @ ( ty_2Elist_2Elist @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) )
% 5.64/5.86 => ! [V2c: $i] :
% 5.64/5.86 ( ( mem @ V2c @ bool )
% 5.64/5.86 => ! [V3infos: tp__c_ty_2Elist_2Elist_o,V4p: $i] :
% 5.64/5.86 ( ( mem @ V4p @ ( arr @ A_27c @ A_27a ) )
% 5.64/5.86 => ! [V5g: $i] :
% 5.64/5.86 ( ( mem @ V5g @ ( arr @ A_27c @ bool ) )
% 5.64/5.86 => ! [V6r: $i] :
% 5.64/5.86 ( ( mem @ V6r @ ( arr @ A_27c @ A_27b ) )
% 5.64/5.86 => ! [V7c_27: $i] :
% 5.64/5.86 ( ( mem @ V7c_27 @ bool )
% 5.64/5.86 => ( ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EIS__REDUNDANT__ROWS__INFO @ A_27a @ A_27b ) @ V0v ) @ V1rows ) @ V2c ) @ ( inj__c_ty_2Elist_2Elist_o @ V3infos ) ) )
% 5.64/5.86 => ( ( ~ ( p @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__ROW__COND__EX @ A_27a @ A_27c ) @ V0v ) @ V4p ) @ V5g ) )
% 5.64/5.86 => ( ( p @ V2c )
% 5.64/5.86 <=> ( p @ V7c_27 ) ) )
% 5.64/5.86 => ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EIS__REDUNDANT__ROWS__INFO @ A_27a @ A_27b ) @ V0v ) @ ( ap @ ( ap @ ( c_2Elist_2ESNOC @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__ROW @ A_27b @ A_27c @ A_27a ) @ V4p ) @ V5g ) @ V6r ) ) @ V1rows ) ) @ V7c_27 ) @ ( ap @ ( ap @ ( c_2Elist_2ESNOC @ bool ) @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ V2c ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__ROW__COND__EX @ A_27a @ A_27c ) @ V0v ) @ V4p ) @ V5g ) ) ) ) @ ( inj__c_ty_2Elist_2Elist_o @ V3infos ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EpatternMatches_2EIS__REDUNDANT__ROWS__INFO__CONS,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,V0v: $i] :
% 5.64/5.86 ( ( mem @ V0v @ A_27a )
% 5.64/5.86 => ! [V1row: $i] :
% 5.64/5.86 ( ( mem @ V1row @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) )
% 5.64/5.86 => ! [V2rows: $i] :
% 5.64/5.86 ( ( mem @ V2rows @ ( ty_2Elist_2Elist @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) )
% 5.64/5.86 => ! [V3c: $i] :
% 5.64/5.86 ( ( mem @ V3c @ bool )
% 5.64/5.86 => ! [V4i: $i] :
% 5.64/5.86 ( ( mem @ V4i @ bool )
% 5.64/5.86 => ! [V5infos_27: tp__c_ty_2Elist_2Elist_o] :
% 5.64/5.86 ( ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EIS__REDUNDANT__ROWS__INFO @ A_27a @ A_27b ) @ V0v ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) @ V1row ) @ V2rows ) ) @ V3c ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ bool ) @ V4i ) @ ( inj__c_ty_2Elist_2Elist_o @ V5infos_27 ) ) ) )
% 5.64/5.86 <=> ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) @ V2rows ) )
% 5.64/5.86 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ bool ) @ ( inj__c_ty_2Elist_2Elist_o @ V5infos_27 ) ) ) )
% 5.64/5.86 & ( ( p @ V4i )
% 5.64/5.86 => ( ( ap @ V1row @ V0v )
% 5.64/5.86 = ( c_2Eoption_2ENONE @ A_27b ) ) )
% 5.64/5.86 & ( ( ( ap @ V1row @ V0v )
% 5.64/5.86 = ( c_2Eoption_2ENONE @ A_27b ) )
% 5.64/5.86 => ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EIS__REDUNDANT__ROWS__INFO @ A_27a @ A_27b ) @ V0v ) @ V2rows ) @ V3c ) @ ( inj__c_ty_2Elist_2Elist_o @ V5infos_27 ) ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(ax_thm_2EpatternMatches_2EAPPLY__REDUNDANT__ROWS__INFO__def,axiom,
% 5.64/5.86 ! [A_27a: del,V0is: tp__c_ty_2Elist_2Elist_o,V1xs: $i] :
% 5.64/5.86 ( ( mem @ V1xs @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.86 => ( ( ap @ ( ap @ ( c_2EpatternMatches_2EAPPLY__REDUNDANT__ROWS__INFO @ A_27a ) @ ( inj__c_ty_2Elist_2Elist_o @ V0is ) ) @ V1xs )
% 5.64/5.86 = ( ap @ ( ap @ ( c_2Elist_2EMAP @ ( ty_2Epair_2Eprod @ bool @ A_27a ) @ A_27a ) @ ( c_2Epair_2ESND @ bool @ A_27a ) )
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap @ ( c_2Elist_2EFILTER @ ( ty_2Epair_2Eprod @ bool @ A_27a ) )
% 5.64/5.86 @ ( lam @ ( ty_2Epair_2Eprod @ bool @ A_27a )
% 5.64/5.86 @ ^ [V2x: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ ( c_2Epair_2EFST @ bool @ A_27a ) @ V2x ) ) ) )
% 5.64/5.86 @ ( ap @ ( c_2Elist_2EZIP @ bool @ A_27a ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ bool ) @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( inj__c_ty_2Elist_2Elist_o @ V0is ) ) @ V1xs ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EpatternMatches_2EAPPLY__REDUNDANT__ROWS__INFO__THMS,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,A_27c: del] :
% 5.64/5.86 ( ( ( ap @ ( ap @ ( c_2EpatternMatches_2EAPPLY__REDUNDANT__ROWS__INFO @ A_27a ) @ ( c_2Elist_2ENIL @ bool ) ) @ ( c_2Elist_2ENIL @ A_27a ) )
% 5.64/5.86 = ( c_2Elist_2ENIL @ A_27a ) )
% 5.64/5.86 & ! [V0is: tp__c_ty_2Elist_2Elist_o,V1x: $i] :
% 5.64/5.86 ( ( mem @ V1x @ A_27b )
% 5.64/5.86 => ! [V2xs: $i] :
% 5.64/5.86 ( ( mem @ V2xs @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.64/5.86 => ( ( ap @ ( ap @ ( c_2EpatternMatches_2EAPPLY__REDUNDANT__ROWS__INFO @ A_27b ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ bool ) @ c_2Ebool_2ET ) @ ( inj__c_ty_2Elist_2Elist_o @ V0is ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27b ) @ V1x ) @ V2xs ) )
% 5.64/5.86 = ( ap @ ( ap @ ( c_2EpatternMatches_2EAPPLY__REDUNDANT__ROWS__INFO @ A_27b ) @ ( inj__c_ty_2Elist_2Elist_o @ V0is ) ) @ V2xs ) ) ) )
% 5.64/5.86 & ! [V3is: tp__c_ty_2Elist_2Elist_o,V4x: $i] :
% 5.64/5.86 ( ( mem @ V4x @ A_27c )
% 5.64/5.86 => ! [V5xs: $i] :
% 5.64/5.86 ( ( mem @ V5xs @ ( ty_2Elist_2Elist @ A_27c ) )
% 5.64/5.86 => ( ( ap @ ( ap @ ( c_2EpatternMatches_2EAPPLY__REDUNDANT__ROWS__INFO @ A_27c ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ bool ) @ c_2Ebool_2EF ) @ ( inj__c_ty_2Elist_2Elist_o @ V3is ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27c ) @ V4x ) @ V5xs ) )
% 5.64/5.86 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27c ) @ V4x ) @ ( ap @ ( ap @ ( c_2EpatternMatches_2EAPPLY__REDUNDANT__ROWS__INFO @ A_27c ) @ ( inj__c_ty_2Elist_2Elist_o @ V3is ) ) @ V5xs ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EpatternMatches_2EPMATCH__ROWS__DROP__REDUNDANT__ROWS__INFO__EQUIV,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,V0v: $i] :
% 5.64/5.86 ( ( mem @ V0v @ A_27a )
% 5.64/5.86 => ! [V1c: $i] :
% 5.64/5.86 ( ( mem @ V1c @ bool )
% 5.64/5.86 => ! [V2rows: $i] :
% 5.64/5.86 ( ( mem @ V2rows @ ( ty_2Elist_2Elist @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) )
% 5.64/5.86 => ! [V3infos: tp__c_ty_2Elist_2Elist_o] :
% 5.64/5.86 ( ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EIS__REDUNDANT__ROWS__INFO @ A_27a @ A_27b ) @ V0v ) @ V2rows ) @ V1c ) @ ( inj__c_ty_2Elist_2Elist_o @ V3infos ) ) )
% 5.64/5.86 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__EQUIV__ROWS @ A_27a @ A_27b ) @ V0v ) @ V2rows ) @ ( ap @ ( ap @ ( c_2EpatternMatches_2EAPPLY__REDUNDANT__ROWS__INFO @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) @ ( inj__c_ty_2Elist_2Elist_o @ V3infos ) ) @ V2rows ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EpatternMatches_2EREDUNDANT__ROWS__INFO__TO__PMATCH__EQ,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,V0v: $i] :
% 5.64/5.86 ( ( mem @ V0v @ A_27a )
% 5.64/5.86 => ! [V1c: $i] :
% 5.64/5.86 ( ( mem @ V1c @ bool )
% 5.64/5.86 => ! [V2rows: $i] :
% 5.64/5.86 ( ( mem @ V2rows @ ( ty_2Elist_2Elist @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) )
% 5.64/5.86 => ! [V3infos: tp__c_ty_2Elist_2Elist_o] :
% 5.64/5.86 ( ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EIS__REDUNDANT__ROWS__INFO @ A_27a @ A_27b ) @ V0v ) @ V2rows ) @ V1c ) @ ( inj__c_ty_2Elist_2Elist_o @ V3infos ) ) )
% 5.64/5.86 => ( ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH @ A_27b @ A_27a ) @ V0v ) @ V2rows )
% 5.64/5.86 = ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH @ A_27b @ A_27a ) @ V0v ) @ ( ap @ ( ap @ ( c_2EpatternMatches_2EAPPLY__REDUNDANT__ROWS__INFO @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) @ ( inj__c_ty_2Elist_2Elist_o @ V3infos ) ) @ V2rows ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(ax_thm_2EpatternMatches_2EPMATCH__IS__EXHAUSTIVE__def,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,V0v: $i] :
% 5.64/5.86 ( ( mem @ V0v @ A_27a )
% 5.64/5.86 => ! [V1rs: $i] :
% 5.64/5.86 ( ( mem @ V1rs @ ( ty_2Elist_2Elist @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) )
% 5.64/5.86 => ( ( p @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__IS__EXHAUSTIVE @ A_27a @ A_27b ) @ V0v ) @ V1rs ) )
% 5.64/5.86 <=> ( p
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap @ ( c_2Elist_2EEXISTS @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) )
% 5.64/5.86 @ ( lam @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) )
% 5.64/5.86 @ ^ [V2r: $i] : ( ap @ ( c_2Eoption_2EIS__SOME @ A_27b ) @ ( ap @ V2r @ V0v ) ) ) )
% 5.64/5.86 @ V1rs ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EpatternMatches_2EPMATCH__IS__EXHAUSTIVE__REWRITES,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del] :
% 5.64/5.86 ( ! [V0v: $i] :
% 5.64/5.86 ( ( mem @ V0v @ A_27a )
% 5.64/5.86 => ( ( p @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__IS__EXHAUSTIVE @ A_27a @ A_27b ) @ V0v ) @ ( c_2Elist_2ENIL @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) ) )
% 5.64/5.86 <=> $false ) )
% 5.64/5.86 & ! [V1v: $i] :
% 5.64/5.86 ( ( mem @ V1v @ A_27c )
% 5.64/5.86 => ! [V2r: $i] :
% 5.64/5.86 ( ( mem @ V2r @ ( arr @ A_27c @ ( ty_2Eoption_2Eoption @ A_27d ) ) )
% 5.64/5.86 => ! [V3rs: $i] :
% 5.64/5.86 ( ( mem @ V3rs @ ( ty_2Elist_2Elist @ ( arr @ A_27c @ ( ty_2Eoption_2Eoption @ A_27d ) ) ) )
% 5.64/5.86 => ( ( p @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__IS__EXHAUSTIVE @ A_27c @ A_27d ) @ V1v ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ( arr @ A_27c @ ( ty_2Eoption_2Eoption @ A_27d ) ) ) @ V2r ) @ V3rs ) ) )
% 5.64/5.86 <=> ( ( ( ap @ V2r @ V1v )
% 5.64/5.86 != ( c_2Eoption_2ENONE @ A_27d ) )
% 5.64/5.86 | ( p @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__IS__EXHAUSTIVE @ A_27c @ A_27d ) @ V1v ) @ V3rs ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EpatternMatches_2EIS__REDUNDANT__ROWS__INFO__EXTRACT__IS__EXHAUSTIVE,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,V0v: $i] :
% 5.64/5.86 ( ( mem @ V0v @ A_27a )
% 5.64/5.86 => ! [V1rows: $i] :
% 5.64/5.86 ( ( mem @ V1rows @ ( ty_2Elist_2Elist @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) )
% 5.64/5.86 => ! [V2c: $i] :
% 5.64/5.86 ( ( mem @ V2c @ bool )
% 5.64/5.86 => ! [V3infos: tp__c_ty_2Elist_2Elist_o] :
% 5.64/5.86 ( ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EIS__REDUNDANT__ROWS__INFO @ A_27a @ A_27b ) @ V0v ) @ V1rows ) @ V2c ) @ ( inj__c_ty_2Elist_2Elist_o @ V3infos ) ) )
% 5.64/5.86 => ( ~ ( p @ V2c )
% 5.64/5.86 => ( p @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__IS__EXHAUSTIVE @ A_27a @ A_27b ) @ V0v ) @ V1rows ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(ax_thm_2EpatternMatches_2EREDUNDANT__ROWS__INFOS__CONJ__def,axiom,
% 5.64/5.86 ! [V0ip1: tp__c_ty_2Elist_2Elist_o,V1ip2: tp__c_ty_2Elist_2Elist_o] :
% 5.64/5.86 ( ( surj__c_ty_2Elist_2Elist_o @ ( ap @ ( ap @ c_2EpatternMatches_2EREDUNDANT__ROWS__INFOS__CONJ @ ( inj__c_ty_2Elist_2Elist_o @ V0ip1 ) ) @ ( inj__c_ty_2Elist_2Elist_o @ V1ip2 ) ) )
% 5.64/5.86 = ( surj__c_ty_2Elist_2Elist_o
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap @ ( c_2Elist_2EMAP2 @ bool @ bool @ bool )
% 5.64/5.86 @ ( lam @ bool
% 5.64/5.86 @ ^ [V2i1: $i] :
% 5.64/5.86 ( lam @ bool
% 5.64/5.86 @ ^ [V3i2: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ V2i1 ) @ V3i2 ) ) ) )
% 5.64/5.86 @ ( inj__c_ty_2Elist_2Elist_o @ V0ip1 ) )
% 5.64/5.86 @ ( inj__c_ty_2Elist_2Elist_o @ V1ip2 ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EpatternMatches_2EREDUNDANT__ROWS__INFOS__CONJ__REWRITE,axiom,
% 5.64/5.86 ! [V0i1: $i] :
% 5.64/5.86 ( ( mem @ V0i1 @ bool )
% 5.64/5.86 => ! [V1is1: tp__c_ty_2Elist_2Elist_o,V2i2: $i] :
% 5.64/5.86 ( ( mem @ V2i2 @ bool )
% 5.64/5.86 => ! [V3is2: tp__c_ty_2Elist_2Elist_o] :
% 5.64/5.86 ( ( ( surj__c_ty_2Elist_2Elist_o @ ( ap @ ( ap @ c_2EpatternMatches_2EREDUNDANT__ROWS__INFOS__CONJ @ ( c_2Elist_2ENIL @ bool ) ) @ ( c_2Elist_2ENIL @ bool ) ) )
% 5.64/5.86 = ( surj__c_ty_2Elist_2Elist_o @ ( c_2Elist_2ENIL @ bool ) ) )
% 5.64/5.86 & ( ( surj__c_ty_2Elist_2Elist_o @ ( ap @ ( ap @ c_2EpatternMatches_2EREDUNDANT__ROWS__INFOS__CONJ @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ bool ) @ V0i1 ) @ ( inj__c_ty_2Elist_2Elist_o @ V1is1 ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ bool ) @ V2i2 ) @ ( inj__c_ty_2Elist_2Elist_o @ V3is2 ) ) ) )
% 5.64/5.86 = ( surj__c_ty_2Elist_2Elist_o @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ bool ) @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ V0i1 ) @ V2i2 ) ) @ ( ap @ ( ap @ c_2EpatternMatches_2EREDUNDANT__ROWS__INFOS__CONJ @ ( inj__c_ty_2Elist_2Elist_o @ V1is1 ) ) @ ( inj__c_ty_2Elist_2Elist_o @ V3is2 ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EpatternMatches_2EREDUNDANT__ROWS__INFOS__CONJ__THM,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,V0v: $i] :
% 5.64/5.86 ( ( mem @ V0v @ A_27a )
% 5.64/5.86 => ! [V1rows: $i] :
% 5.64/5.86 ( ( mem @ V1rows @ ( ty_2Elist_2Elist @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) )
% 5.64/5.86 => ! [V2c: $i] :
% 5.64/5.86 ( ( mem @ V2c @ bool )
% 5.64/5.86 => ! [V3infos: tp__c_ty_2Elist_2Elist_o,V4c_27: $i] :
% 5.64/5.86 ( ( mem @ V4c_27 @ bool )
% 5.64/5.86 => ! [V5infos_27: tp__c_ty_2Elist_2Elist_o] :
% 5.64/5.86 ( ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EIS__REDUNDANT__ROWS__INFO @ A_27a @ A_27b ) @ V0v ) @ V1rows ) @ V2c ) @ ( inj__c_ty_2Elist_2Elist_o @ V3infos ) ) )
% 5.64/5.86 => ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ bool ) @ ( inj__c_ty_2Elist_2Elist_o @ V5infos_27 ) ) )
% 5.64/5.86 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ bool ) @ ( inj__c_ty_2Elist_2Elist_o @ V3infos ) ) ) )
% 5.64/5.86 => ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EIS__REDUNDANT__ROWS__INFO @ A_27a @ A_27b ) @ V0v ) @ V1rows ) @ ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ V2c ) @ V4c_27 ) ) @ ( ap @ ( ap @ c_2EpatternMatches_2EREDUNDANT__ROWS__INFOS__CONJ @ ( inj__c_ty_2Elist_2Elist_o @ V3infos ) ) @ ( inj__c_ty_2Elist_2Elist_o @ V5infos_27 ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(ax_thm_2EpatternMatches_2EREDUNDANT__ROWS__INFOS__DISJ__def,axiom,
% 5.64/5.86 ! [V0ip1: tp__c_ty_2Elist_2Elist_o,V1ip2: tp__c_ty_2Elist_2Elist_o] :
% 5.64/5.86 ( ( surj__c_ty_2Elist_2Elist_o @ ( ap @ ( ap @ c_2EpatternMatches_2EREDUNDANT__ROWS__INFOS__DISJ @ ( inj__c_ty_2Elist_2Elist_o @ V0ip1 ) ) @ ( inj__c_ty_2Elist_2Elist_o @ V1ip2 ) ) )
% 5.64/5.86 = ( surj__c_ty_2Elist_2Elist_o
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap @ ( c_2Elist_2EMAP2 @ bool @ bool @ bool )
% 5.64/5.86 @ ( lam @ bool
% 5.64/5.86 @ ^ [V2i1: $i] :
% 5.64/5.86 ( lam @ bool
% 5.64/5.86 @ ^ [V3i2: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ V2i1 ) @ V3i2 ) ) ) )
% 5.64/5.86 @ ( inj__c_ty_2Elist_2Elist_o @ V0ip1 ) )
% 5.64/5.86 @ ( inj__c_ty_2Elist_2Elist_o @ V1ip2 ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EpatternMatches_2EREDUNDANT__ROWS__INFOS__DISJ__THM,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,V0v: $i] :
% 5.64/5.86 ( ( mem @ V0v @ A_27a )
% 5.64/5.86 => ! [V1rows: $i] :
% 5.64/5.86 ( ( mem @ V1rows @ ( ty_2Elist_2Elist @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) )
% 5.64/5.86 => ! [V2c: $i] :
% 5.64/5.86 ( ( mem @ V2c @ bool )
% 5.64/5.86 => ! [V3infos: tp__c_ty_2Elist_2Elist_o,V4c_27: $i] :
% 5.64/5.86 ( ( mem @ V4c_27 @ bool )
% 5.64/5.86 => ! [V5infos_27: tp__c_ty_2Elist_2Elist_o] :
% 5.64/5.86 ( ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EIS__REDUNDANT__ROWS__INFO @ A_27a @ A_27b ) @ V0v ) @ V1rows ) @ V2c ) @ ( inj__c_ty_2Elist_2Elist_o @ V3infos ) ) )
% 5.64/5.86 => ( ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EIS__REDUNDANT__ROWS__INFO @ A_27a @ A_27b ) @ V0v ) @ V1rows ) @ V4c_27 ) @ ( inj__c_ty_2Elist_2Elist_o @ V5infos_27 ) ) )
% 5.64/5.86 => ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EIS__REDUNDANT__ROWS__INFO @ A_27a @ A_27b ) @ V0v ) @ V1rows ) @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ V2c ) @ V4c_27 ) ) @ ( ap @ ( ap @ c_2EpatternMatches_2EREDUNDANT__ROWS__INFOS__DISJ @ ( inj__c_ty_2Elist_2Elist_o @ V3infos ) ) @ ( inj__c_ty_2Elist_2Elist_o @ V5infos_27 ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(ax_thm_2EpatternMatches_2ESTRONGEST__REDUNDANT__ROWS__INFO__AUX__def,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del] :
% 5.64/5.86 ( ! [V0v: $i] :
% 5.64/5.86 ( ( mem @ V0v @ A_27a )
% 5.64/5.86 => ! [V1p: $i] :
% 5.64/5.86 ( ( mem @ V1p @ bool )
% 5.64/5.86 => ! [V2infos: tp__c_ty_2Elist_2Elist_o] :
% 5.64/5.86 ( ( surj__c_ty_2Epair_2Eprod_o_c_ty_2Elist_2Elist_o @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2ESTRONGEST__REDUNDANT__ROWS__INFO__AUX @ A_27a @ A_27b ) @ V0v ) @ ( c_2Elist_2ENIL @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) ) @ V1p ) @ ( inj__c_ty_2Elist_2Elist_o @ V2infos ) ) )
% 5.64/5.86 = ( surj__c_ty_2Epair_2Eprod_o_c_ty_2Elist_2Elist_o @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ bool @ ( ty_2Elist_2Elist @ bool ) ) @ V1p ) @ ( inj__c_ty_2Elist_2Elist_o @ V2infos ) ) ) ) ) )
% 5.64/5.86 & ! [V3v: $i] :
% 5.64/5.86 ( ( mem @ V3v @ A_27a )
% 5.64/5.86 => ! [V4r: $i] :
% 5.64/5.86 ( ( mem @ V4r @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) )
% 5.64/5.86 => ! [V5rows: $i] :
% 5.64/5.86 ( ( mem @ V5rows @ ( ty_2Elist_2Elist @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) )
% 5.64/5.86 => ! [V6p: $i] :
% 5.64/5.86 ( ( mem @ V6p @ bool )
% 5.64/5.86 => ! [V7infos: tp__c_ty_2Elist_2Elist_o] :
% 5.64/5.86 ( ( surj__c_ty_2Epair_2Eprod_o_c_ty_2Elist_2Elist_o @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2ESTRONGEST__REDUNDANT__ROWS__INFO__AUX @ A_27a @ A_27b ) @ V3v ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) @ V4r ) @ V5rows ) ) @ V6p ) @ ( inj__c_ty_2Elist_2Elist_o @ V7infos ) ) )
% 5.64/5.86 = ( surj__c_ty_2Epair_2Eprod_o_c_ty_2Elist_2Elist_o @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2ESTRONGEST__REDUNDANT__ROWS__INFO__AUX @ A_27a @ A_27b ) @ V3v ) @ V5rows ) @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ V6p ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Eoption_2Eoption @ A_27b ) ) @ ( ap @ V4r @ V3v ) ) @ ( c_2Eoption_2ENONE @ A_27b ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ESNOC @ bool ) @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ V6p ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Eoption_2Eoption @ A_27b ) ) @ ( ap @ V4r @ V3v ) ) @ ( c_2Eoption_2ENONE @ A_27b ) ) ) ) @ ( inj__c_ty_2Elist_2Elist_o @ V7infos ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(ax_thm_2EpatternMatches_2ESTRONGEST__REDUNDANT__ROWS__INFO__def,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,V0v: $i] :
% 5.64/5.86 ( ( mem @ V0v @ A_27a )
% 5.64/5.86 => ! [V1rows: $i] :
% 5.64/5.86 ( ( mem @ V1rows @ ( ty_2Elist_2Elist @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) )
% 5.64/5.86 => ( ( surj__c_ty_2Elist_2Elist_o @ ( ap @ ( ap @ ( c_2EpatternMatches_2ESTRONGEST__REDUNDANT__ROWS__INFO @ A_27a @ A_27b ) @ V0v ) @ V1rows ) )
% 5.64/5.86 = ( surj__c_ty_2Elist_2Elist_o @ ( ap @ ( c_2Epair_2ESND @ bool @ ( ty_2Elist_2Elist @ bool ) ) @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2ESTRONGEST__REDUNDANT__ROWS__INFO__AUX @ A_27a @ A_27b ) @ V0v ) @ V1rows ) @ c_2Ebool_2ET ) @ ( c_2Elist_2ENIL @ bool ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EpatternMatches_2ELENGTH__STRONGEST__REDUNDANT__ROWS__INFO__AUX,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,V0v: $i] :
% 5.64/5.86 ( ( mem @ V0v @ A_27a )
% 5.64/5.86 => ! [V1rows: $i] :
% 5.64/5.86 ( ( mem @ V1rows @ ( ty_2Elist_2Elist @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) )
% 5.64/5.86 => ! [V2p: $i] :
% 5.64/5.86 ( ( mem @ V2p @ bool )
% 5.64/5.86 => ! [V3infos: tp__c_ty_2Elist_2Elist_o] :
% 5.64/5.86 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ bool ) @ ( ap @ ( c_2Epair_2ESND @ bool @ ( ty_2Elist_2Elist @ bool ) ) @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2ESTRONGEST__REDUNDANT__ROWS__INFO__AUX @ A_27a @ A_27b ) @ V0v ) @ V1rows ) @ V2p ) @ ( inj__c_ty_2Elist_2Elist_o @ V3infos ) ) ) ) )
% 5.64/5.86 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( c_2Elist_2ELENGTH @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) @ V1rows ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ bool ) @ ( inj__c_ty_2Elist_2Elist_o @ V3infos ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EpatternMatches_2EEL1__STRONGEST__REDUNDANT__ROWS__INFO__AUX,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,V0v: $i] :
% 5.64/5.86 ( ( mem @ V0v @ A_27a )
% 5.64/5.86 => ! [V1rows: $i] :
% 5.64/5.86 ( ( mem @ V1rows @ ( ty_2Elist_2Elist @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) )
% 5.64/5.86 => ! [V2p: $i] :
% 5.64/5.86 ( ( mem @ V2p @ bool )
% 5.64/5.86 => ! [V3infos: tp__c_ty_2Elist_2Elist_o,V4i: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V4i ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ bool ) @ ( inj__c_ty_2Elist_2Elist_o @ V3infos ) ) ) )
% 5.64/5.86 => ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EEL @ bool ) @ ( inj__ty_2Enum_2Enum @ V4i ) ) @ ( ap @ ( c_2Epair_2ESND @ bool @ ( ty_2Elist_2Elist @ bool ) ) @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2ESTRONGEST__REDUNDANT__ROWS__INFO__AUX @ A_27a @ A_27b ) @ V0v ) @ V1rows ) @ V2p ) @ ( inj__c_ty_2Elist_2Elist_o @ V3infos ) ) ) ) )
% 5.64/5.86 <=> ( p @ ( ap @ ( ap @ ( c_2Elist_2EEL @ bool ) @ ( inj__ty_2Enum_2Enum @ V4i ) ) @ ( inj__c_ty_2Elist_2Elist_o @ V3infos ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EpatternMatches_2EEL2__STRONGEST__REDUNDANT__ROWS__INFO__AUX,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,V0v: $i] :
% 5.64/5.86 ( ( mem @ V0v @ A_27a )
% 5.64/5.86 => ! [V1rows: $i] :
% 5.64/5.86 ( ( mem @ V1rows @ ( ty_2Elist_2Elist @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) )
% 5.64/5.86 => ! [V2p: $i] :
% 5.64/5.86 ( ( mem @ V2p @ bool )
% 5.64/5.86 => ! [V3infos: tp__c_ty_2Elist_2Elist_o,V4i: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( inj__ty_2Enum_2Enum @ V4i ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ bool ) @ ( inj__c_ty_2Elist_2Elist_o @ V3infos ) ) ) )
% 5.64/5.86 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V4i ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( c_2Elist_2ELENGTH @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) @ V1rows ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ bool ) @ ( inj__c_ty_2Elist_2Elist_o @ V3infos ) ) ) ) ) )
% 5.64/5.86 => ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EEL @ bool ) @ ( inj__ty_2Enum_2Enum @ V4i ) ) @ ( ap @ ( c_2Epair_2ESND @ bool @ ( ty_2Elist_2Elist @ bool ) ) @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2ESTRONGEST__REDUNDANT__ROWS__INFO__AUX @ A_27a @ A_27b ) @ V0v ) @ V1rows ) @ V2p ) @ ( inj__c_ty_2Elist_2Elist_o @ V3infos ) ) ) ) )
% 5.64/5.86 <=> ( ( ( p @ V2p )
% 5.64/5.86 & ( p
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap @ ( c_2Elist_2EEVERY @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) )
% 5.64/5.86 @ ( lam @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) )
% 5.64/5.86 @ ^ [V5r: $i] : ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Eoption_2Eoption @ A_27b ) ) @ ( ap @ V5r @ V0v ) ) @ ( c_2Eoption_2ENONE @ A_27b ) ) ) )
% 5.64/5.86 @ ( ap @ ( ap @ ( c_2Elist_2ETAKE @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V4i ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ bool ) @ ( inj__c_ty_2Elist_2Elist_o @ V3infos ) ) ) ) @ V1rows ) ) ) )
% 5.64/5.86 => ( ( ap @ ( ap @ ( ap @ ( c_2Elist_2EEL @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V4i ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ bool ) @ ( inj__c_ty_2Elist_2Elist_o @ V3infos ) ) ) ) @ V1rows ) @ V0v )
% 5.64/5.86 = ( c_2Eoption_2ENONE @ A_27b ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EpatternMatches_2ELENGTH__STRONGEST__REDUNDANT__ROWS__INFO,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,V0v: $i] :
% 5.64/5.86 ( ( mem @ V0v @ A_27a )
% 5.64/5.86 => ! [V1rows: $i] :
% 5.64/5.86 ( ( mem @ V1rows @ ( ty_2Elist_2Elist @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) )
% 5.64/5.86 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ bool ) @ ( ap @ ( ap @ ( c_2EpatternMatches_2ESTRONGEST__REDUNDANT__ROWS__INFO @ A_27a @ A_27b ) @ V0v ) @ V1rows ) ) )
% 5.64/5.86 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) @ V1rows ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EpatternMatches_2EFST__STRONGEST__REDUNDANT__ROWS__INFO__AUX,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,V0v: $i] :
% 5.64/5.86 ( ( mem @ V0v @ A_27a )
% 5.64/5.86 => ! [V1rows: $i] :
% 5.64/5.86 ( ( mem @ V1rows @ ( ty_2Elist_2Elist @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) )
% 5.64/5.86 => ! [V2p: $i] :
% 5.64/5.86 ( ( mem @ V2p @ bool )
% 5.64/5.86 => ! [V3infos: tp__c_ty_2Elist_2Elist_o] :
% 5.64/5.86 ( ( p @ ( ap @ ( c_2Epair_2EFST @ bool @ ( ty_2Elist_2Elist @ bool ) ) @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2ESTRONGEST__REDUNDANT__ROWS__INFO__AUX @ A_27a @ A_27b ) @ V0v ) @ V1rows ) @ V2p ) @ ( inj__c_ty_2Elist_2Elist_o @ V3infos ) ) ) )
% 5.64/5.86 <=> ( ( p @ V2p )
% 5.64/5.86 & ( p
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap @ ( c_2Elist_2EEVERY @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) )
% 5.64/5.86 @ ( lam @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) )
% 5.64/5.86 @ ^ [V4r: $i] : ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Eoption_2Eoption @ A_27b ) ) @ ( ap @ V4r @ V0v ) ) @ ( c_2Eoption_2ENONE @ A_27b ) ) ) )
% 5.64/5.86 @ V1rows ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EpatternMatches_2EEL__STRONGEST__REDUNDANT__ROWS__INFO,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,V0v: $i] :
% 5.64/5.86 ( ( mem @ V0v @ A_27a )
% 5.64/5.86 => ! [V1rows: $i] :
% 5.64/5.86 ( ( mem @ V1rows @ ( ty_2Elist_2Elist @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) )
% 5.64/5.86 => ! [V2i: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V2i ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) @ V1rows ) ) )
% 5.64/5.86 => ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EEL @ bool ) @ ( inj__ty_2Enum_2Enum @ V2i ) ) @ ( ap @ ( ap @ ( c_2EpatternMatches_2ESTRONGEST__REDUNDANT__ROWS__INFO @ A_27a @ A_27b ) @ V0v ) @ V1rows ) ) )
% 5.64/5.86 <=> ( ( p
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap @ ( c_2Elist_2EEVERY @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) )
% 5.64/5.86 @ ( lam @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) )
% 5.64/5.86 @ ^ [V3r: $i] : ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Eoption_2Eoption @ A_27b ) ) @ ( ap @ V3r @ V0v ) ) @ ( c_2Eoption_2ENONE @ A_27b ) ) ) )
% 5.64/5.86 @ ( ap @ ( ap @ ( c_2Elist_2ETAKE @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) @ ( inj__ty_2Enum_2Enum @ V2i ) ) @ V1rows ) ) )
% 5.64/5.86 => ( ( ap @ ( ap @ ( ap @ ( c_2Elist_2EEL @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) @ ( inj__ty_2Enum_2Enum @ V2i ) ) @ V1rows ) @ V0v )
% 5.64/5.86 = ( c_2Eoption_2ENONE @ A_27b ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EpatternMatches_2ESTRONGEST__REDUNDANT__ROWS__INFO__OK,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,V0v: $i] :
% 5.64/5.86 ( ( mem @ V0v @ A_27a )
% 5.64/5.86 => ! [V1rows: $i] :
% 5.64/5.86 ( ( mem @ V1rows @ ( ty_2Elist_2Elist @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) )
% 5.64/5.86 => ( p
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EIS__REDUNDANT__ROWS__INFO @ A_27a @ A_27b ) @ V0v ) @ V1rows )
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap @ ( c_2Elist_2EEVERY @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) )
% 5.64/5.86 @ ( lam @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) )
% 5.64/5.86 @ ^ [V2r: $i] : ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Eoption_2Eoption @ A_27b ) ) @ ( ap @ V2r @ V0v ) ) @ ( c_2Eoption_2ENONE @ A_27b ) ) ) )
% 5.64/5.86 @ V1rows ) )
% 5.64/5.86 @ ( ap @ ( ap @ ( c_2EpatternMatches_2ESTRONGEST__REDUNDANT__ROWS__INFO @ A_27a @ A_27b ) @ V0v ) @ V1rows ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EpatternMatches_2EPMATCH__ROW__COND__EX__FULL__DEF,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,V0i: $i] :
% 5.64/5.86 ( ( mem @ V0i @ A_27a )
% 5.64/5.86 => ! [V1p: $i] :
% 5.64/5.86 ( ( mem @ V1p @ ( arr @ A_27b @ A_27a ) )
% 5.64/5.86 => ! [V2g: $i] :
% 5.64/5.86 ( ( mem @ V2g @ ( arr @ A_27b @ bool ) )
% 5.64/5.86 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__ROW__COND__EX @ A_27a @ A_27b ) @ V0i ) @ V1p ) @ V2g ) )
% 5.64/5.86 <=> ? [V3x: $i] :
% 5.64/5.86 ( ( mem @ V3x @ A_27b )
% 5.64/5.86 & ( V0i
% 5.64/5.86 = ( ap @ V1p @ V3x ) )
% 5.64/5.86 & ( p @ ( ap @ V2g @ V3x ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EpatternMatches_2EPMATCH__ROW__COND__EX__WEAKEN,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.64/5.86 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.64/5.86 => ! [V1v: $i] :
% 5.64/5.86 ( ( mem @ V1v @ A_27c )
% 5.64/5.86 => ! [V2p: $i] :
% 5.64/5.86 ( ( mem @ V2p @ ( arr @ A_27b @ A_27c ) )
% 5.64/5.86 => ! [V3g: $i] :
% 5.64/5.86 ( ( mem @ V3g @ ( arr @ A_27b @ bool ) )
% 5.64/5.86 => ! [V4p_27: $i] :
% 5.64/5.86 ( ( mem @ V4p_27 @ ( arr @ A_27a @ A_27c ) )
% 5.64/5.86 => ! [V5g_27: $i] :
% 5.64/5.86 ( ( mem @ V5g_27 @ ( arr @ A_27a @ bool ) )
% 5.64/5.86 => ( ~ ( p @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__ROW__COND__EX @ A_27c @ A_27b ) @ V1v ) @ V2p ) @ V3g ) )
% 5.64/5.86 => ( ! [V6x: $i] :
% 5.64/5.86 ( ( mem @ V6x @ A_27a )
% 5.64/5.86 => ( ( ap @ V4p_27 @ V6x )
% 5.64/5.86 = ( ap @ V2p @ ( ap @ V0f @ V6x ) ) ) )
% 5.64/5.86 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__ROW__COND__EX @ A_27c @ A_27a ) @ V1v ) @ V4p_27 ) @ V5g_27 ) )
% 5.64/5.86 <=> ( p
% 5.64/5.86 @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__ROW__COND__EX @ A_27c @ A_27a ) @ V1v ) @ V4p_27 )
% 5.64/5.86 @ ( lam @ A_27a
% 5.64/5.86 @ ^ [V7x: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V5g_27 @ V7x ) ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V3g @ ( ap @ V0f @ V7x ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EpatternMatches_2EPMATCH__ROW__COND__EX__FALSE,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,V0v: $i] :
% 5.64/5.86 ( ( mem @ V0v @ A_27a )
% 5.64/5.86 => ! [V1p: $i] :
% 5.64/5.86 ( ( mem @ V1p @ ( arr @ A_27b @ A_27a ) )
% 5.64/5.86 => ! [V2g: $i] :
% 5.64/5.86 ( ( mem @ V2g @ ( arr @ A_27b @ bool ) )
% 5.64/5.86 => ( ! [V3x: $i] :
% 5.64/5.86 ( ( mem @ V3x @ A_27b )
% 5.64/5.86 => ~ ( p @ ( ap @ V2g @ V3x ) ) )
% 5.64/5.86 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__ROW__COND__EX @ A_27a @ A_27b ) @ V0v ) @ V1p ) @ V2g ) )
% 5.64/5.86 <=> $false ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EpatternMatches_2EPMATCH__ROW__COND__EX__IMP__REWRITE,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,A_27c: del,V0v: $i] :
% 5.64/5.86 ( ( mem @ V0v @ A_27a )
% 5.64/5.86 => ! [V1p: $i] :
% 5.64/5.86 ( ( mem @ V1p @ ( arr @ A_27b @ A_27a ) )
% 5.64/5.86 => ! [V2g: $i] :
% 5.64/5.86 ( ( mem @ V2g @ ( arr @ A_27b @ bool ) )
% 5.64/5.86 => ! [V3p_27: $i] :
% 5.64/5.86 ( ( mem @ V3p_27 @ ( arr @ A_27c @ A_27a ) )
% 5.64/5.86 => ! [V4g_27: $i] :
% 5.64/5.86 ( ( mem @ V4g_27 @ ( arr @ A_27c @ bool ) )
% 5.64/5.86 => ! [V5RES: $i] :
% 5.64/5.86 ( ( mem @ V5RES @ bool )
% 5.64/5.86 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__ROW__COND__EX @ A_27a @ A_27b ) @ V0v ) @ V1p ) @ V2g ) )
% 5.64/5.86 => ( ! [V6x: $i] :
% 5.64/5.86 ( ( mem @ V6x @ A_27b )
% 5.64/5.86 => ( ( p @ ( ap @ V2g @ V6x ) )
% 5.64/5.86 => ( ? [V7x_27: $i] :
% 5.64/5.86 ( ( mem @ V7x_27 @ A_27c )
% 5.64/5.86 & ( ( ap @ V3p_27 @ V7x_27 )
% 5.64/5.86 = ( ap @ V1p @ V6x ) )
% 5.64/5.86 & ( p @ ( ap @ V4g_27 @ V7x_27 ) ) )
% 5.64/5.86 <=> ( p @ V5RES ) ) ) )
% 5.64/5.86 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__ROW__COND__EX @ A_27a @ A_27c ) @ V0v ) @ V3p_27 ) @ V4g_27 ) )
% 5.64/5.86 <=> ( p @ V5RES ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EpatternMatches_2EPMATCH__IS__EXHAUSTIVE__CONTRADICT,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,V0v: $i] :
% 5.64/5.86 ( ( mem @ V0v @ A_27a )
% 5.64/5.86 => ! [V1rs: $i] :
% 5.64/5.86 ( ( mem @ V1rs @ ( ty_2Elist_2Elist @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) )
% 5.64/5.86 => ( ( ( p
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap @ ( c_2Elist_2EEVERY @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) )
% 5.64/5.86 @ ( lam @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) )
% 5.64/5.86 @ ^ [V2r: $i] : ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Eoption_2Eoption @ A_27b ) ) @ ( ap @ V2r @ V0v ) ) @ ( c_2Eoption_2ENONE @ A_27b ) ) ) )
% 5.64/5.86 @ V1rs ) )
% 5.64/5.86 => $false )
% 5.64/5.86 => ( p @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__IS__EXHAUSTIVE @ A_27a @ A_27b ) @ V0v ) @ V1rs ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EpatternMatches_2EPMATCH__ROW__EVAL__COND__EX,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,A_27c: del,V0i: $i] :
% 5.64/5.86 ( ( mem @ V0i @ A_27a )
% 5.64/5.86 => ! [V1p: $i] :
% 5.64/5.86 ( ( mem @ V1p @ ( arr @ A_27b @ A_27a ) )
% 5.64/5.86 => ! [V2g: $i] :
% 5.64/5.86 ( ( mem @ V2g @ ( arr @ A_27b @ bool ) )
% 5.64/5.86 => ! [V3r: $i] :
% 5.64/5.86 ( ( mem @ V3r @ ( arr @ A_27b @ A_27c ) )
% 5.64/5.86 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__ROW__COND__EX @ A_27a @ A_27b ) @ V0i ) @ V1p ) @ V2g ) )
% 5.64/5.86 => ( ( ap @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__ROW @ A_27c @ A_27b @ A_27a ) @ V1p ) @ V2g ) @ V3r ) @ V0i )
% 5.64/5.86 = ( ap @ ( c_2Eoption_2ESOME @ A_27c )
% 5.64/5.86 @ ( ap @ V3r
% 5.64/5.86 @ ( ap @ ( c_2Emin_2E_40 @ A_27b )
% 5.64/5.86 @ ( lam @ A_27b
% 5.64/5.86 @ ^ [V4x: $i] : ( ap @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__ROW__COND @ A_27b @ A_27a ) @ V1p ) @ V2g ) @ V0i ) @ V4x ) ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EpatternMatches_2EPMATCH__ROW__NEQ__NONE,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,A_27c: del,V0p: $i] :
% 5.64/5.86 ( ( mem @ V0p @ ( arr @ A_27b @ A_27c ) )
% 5.64/5.86 => ! [V1g: $i] :
% 5.64/5.86 ( ( mem @ V1g @ ( arr @ A_27b @ bool ) )
% 5.64/5.86 => ! [V2r: $i] :
% 5.64/5.86 ( ( mem @ V2r @ ( arr @ A_27b @ A_27a ) )
% 5.64/5.86 => ! [V3i: $i] :
% 5.64/5.86 ( ( mem @ V3i @ A_27c )
% 5.64/5.86 => ( ( ( ap @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__ROW @ A_27a @ A_27b @ A_27c ) @ V0p ) @ V1g ) @ V2r ) @ V3i )
% 5.64/5.86 != ( c_2Eoption_2ENONE @ A_27a ) )
% 5.64/5.86 <=> ( p @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__ROW__COND__EX @ A_27c @ A_27b ) @ V3i ) @ V0p ) @ V1g ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EpatternMatches_2EPMATCH__ROW__REMOVE__DOUBLE__BINDS__THM,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0g: $i] :
% 5.64/5.86 ( ( mem @ V0g @ ( arr @ A_27a @ A_27b ) )
% 5.64/5.86 => ! [V1p1: $i] :
% 5.64/5.86 ( ( mem @ V1p1 @ ( arr @ A_27a @ A_27c ) )
% 5.64/5.86 => ! [V2g1: $i] :
% 5.64/5.86 ( ( mem @ V2g1 @ ( arr @ A_27a @ bool ) )
% 5.64/5.86 => ! [V3r1: $i] :
% 5.64/5.86 ( ( mem @ V3r1 @ ( arr @ A_27a @ A_27d ) )
% 5.64/5.86 => ! [V4p2: $i] :
% 5.64/5.86 ( ( mem @ V4p2 @ ( arr @ A_27b @ A_27c ) )
% 5.64/5.86 => ! [V5g2: $i] :
% 5.64/5.86 ( ( mem @ V5g2 @ ( arr @ A_27b @ bool ) )
% 5.64/5.86 => ! [V6r2: $i] :
% 5.64/5.86 ( ( mem @ V6r2 @ ( arr @ A_27b @ A_27d ) )
% 5.64/5.86 => ( ( ! [V7x: $i] :
% 5.64/5.86 ( ( mem @ V7x @ A_27a )
% 5.64/5.86 => ! [V8y: $i] :
% 5.64/5.86 ( ( mem @ V8y @ A_27a )
% 5.64/5.86 => ( ( ( ap @ V1p1 @ V7x )
% 5.64/5.86 = ( ap @ V1p1 @ V8y ) )
% 5.64/5.86 => ( V7x = V8y ) ) ) )
% 5.64/5.86 & ! [V9x: $i] :
% 5.64/5.86 ( ( mem @ V9x @ A_27a )
% 5.64/5.86 => ( ( ap @ V4p2 @ ( ap @ V0g @ V9x ) )
% 5.64/5.86 = ( ap @ V1p1 @ V9x ) ) )
% 5.64/5.86 & ! [V10x_27: $i] :
% 5.64/5.86 ( ( mem @ V10x_27 @ A_27b )
% 5.64/5.86 => ( ( p @ ( ap @ V5g2 @ V10x_27 ) )
% 5.64/5.86 <=> ? [V11x: $i] :
% 5.64/5.86 ( ( mem @ V11x @ A_27a )
% 5.64/5.86 & ( V10x_27
% 5.64/5.86 = ( ap @ V0g @ V11x ) )
% 5.64/5.86 & ( p @ ( ap @ V2g1 @ V11x ) ) ) ) )
% 5.64/5.86 & ! [V12x: $i] :
% 5.64/5.86 ( ( mem @ V12x @ A_27a )
% 5.64/5.86 => ( ( ap @ V6r2 @ ( ap @ V0g @ V12x ) )
% 5.64/5.86 = ( ap @ V3r1 @ V12x ) ) ) )
% 5.64/5.86 => ( ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__ROW @ A_27d @ A_27a @ A_27c ) @ V1p1 ) @ V2g1 ) @ V3r1 )
% 5.64/5.86 = ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__ROW @ A_27d @ A_27b @ A_27c ) @ V4p2 ) @ V5g2 ) @ V6r2 ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EpatternMatches_2EGUARDS__ELIM__THM,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,A_27c: del,V0v: $i] :
% 5.64/5.86 ( ( mem @ V0v @ A_27a )
% 5.64/5.86 => ! [V1rs1: $i] :
% 5.64/5.86 ( ( mem @ V1rs1 @ ( ty_2Elist_2Elist @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) )
% 5.64/5.86 => ! [V2rs2: $i] :
% 5.64/5.86 ( ( mem @ V2rs2 @ ( ty_2Elist_2Elist @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) )
% 5.64/5.86 => ! [V3p: $i] :
% 5.64/5.86 ( ( mem @ V3p @ ( arr @ A_27c @ A_27a ) )
% 5.64/5.86 => ! [V4g: $i] :
% 5.64/5.86 ( ( mem @ V4g @ ( arr @ A_27c @ bool ) )
% 5.64/5.86 => ! [V5r: $i] :
% 5.64/5.86 ( ( mem @ V5r @ ( arr @ A_27c @ A_27b ) )
% 5.64/5.86 => ( ! [V6x1: $i] :
% 5.64/5.86 ( ( mem @ V6x1 @ A_27c )
% 5.64/5.86 => ! [V7x2: $i] :
% 5.64/5.86 ( ( mem @ V7x2 @ A_27c )
% 5.64/5.86 => ( ( ( ap @ V3p @ V6x1 )
% 5.64/5.86 = ( ap @ V3p @ V7x2 ) )
% 5.64/5.86 => ( V6x1 = V7x2 ) ) ) )
% 5.64/5.86 => ( ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH @ A_27b @ A_27a ) @ V0v ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) @ V1rs1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__ROW @ A_27b @ A_27c @ A_27a ) @ V3p ) @ V4g ) @ V5r ) ) @ V2rs2 ) ) )
% 5.64/5.86 = ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH @ A_27b @ A_27a ) @ V0v )
% 5.64/5.86 @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) @ V1rs1 )
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap @ ( c_2Elist_2ECONS @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) )
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__ROW @ A_27b @ A_27c @ A_27a ) @ V3p )
% 5.64/5.86 @ ( lam @ A_27c
% 5.64/5.86 @ ^ [V8x: $i] : c_2Ebool_2ET ) )
% 5.64/5.86 @ ( lam @ A_27c
% 5.64/5.86 @ ^ [V9x: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ A_27b ) @ ( ap @ V4g @ V9x ) ) @ ( ap @ V5r @ V9x ) ) @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH @ A_27b @ A_27a ) @ ( ap @ V3p @ V9x ) ) @ V2rs2 ) ) ) ) )
% 5.64/5.86 @ V2rs2 ) ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(ax_thm_2EpatternMatches_2EPMATCH__FLATTEN__FUN__def,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,A_27c: del,V0p: $i] :
% 5.64/5.86 ( ( mem @ V0p @ ( arr @ A_27b @ A_27c ) )
% 5.64/5.86 => ! [V1g: $i] :
% 5.64/5.86 ( ( mem @ V1g @ ( arr @ A_27b @ bool ) )
% 5.64/5.86 => ! [V2row: $i] :
% 5.64/5.86 ( ( mem @ V2row @ ( arr @ A_27b @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27a ) ) ) )
% 5.64/5.86 => ! [V3v: $i] :
% 5.64/5.86 ( ( mem @ V3v @ A_27c )
% 5.64/5.86 => ( ( ap @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__FLATTEN__FUN @ A_27a @ A_27b @ A_27c ) @ V0p ) @ V1g ) @ V2row ) @ V3v )
% 5.64/5.86 = ( ap
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap @ ( c_2Eoption_2Eoption__CASE @ A_27b @ ( ty_2Eoption_2Eoption @ A_27a ) )
% 5.64/5.86 @ ( ap @ ( c_2Eoption_2Esome @ A_27b )
% 5.64/5.86 @ ( lam @ A_27b
% 5.64/5.86 @ ^ [V4x: $i] : ( ap @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__ROW__COND @ A_27b @ A_27c ) @ V0p ) @ V1g ) @ V3v ) @ V4x ) ) ) )
% 5.64/5.86 @ ( c_2Eoption_2ENONE @ A_27a ) )
% 5.64/5.86 @ ( lam @ A_27b
% 5.64/5.86 @ ^ [V5x: $i] : ( ap @ ( ap @ V2row @ V5x ) @ V5x ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EpatternMatches_2EPMATCH__FLATTEN__THM__SINGLE,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,A_27c: del,V0v: $i] :
% 5.64/5.86 ( ( mem @ V0v @ A_27a )
% 5.64/5.86 => ! [V1p: $i] :
% 5.64/5.86 ( ( mem @ V1p @ ( arr @ A_27b @ A_27a ) )
% 5.64/5.86 => ! [V2g: $i] :
% 5.64/5.86 ( ( mem @ V2g @ ( arr @ A_27b @ bool ) )
% 5.64/5.86 => ! [V3rows: $i] :
% 5.64/5.86 ( ( mem @ V3rows @ ( ty_2Elist_2Elist @ ( arr @ A_27b @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27c ) ) ) ) )
% 5.64/5.86 => ( ! [V4x: $i] :
% 5.64/5.86 ( ( mem @ V4x @ A_27b )
% 5.64/5.86 => ( p
% 5.64/5.86 @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__IS__EXHAUSTIVE @ A_27b @ A_27c ) @ V4x )
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap @ ( c_2Elist_2EMAP @ ( arr @ A_27b @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27c ) ) ) @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27c ) ) )
% 5.64/5.86 @ ( lam @ ( arr @ A_27b @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27c ) ) )
% 5.64/5.86 @ ^ [V5r: $i] : ( ap @ V5r @ V4x ) ) )
% 5.64/5.86 @ V3rows ) ) ) )
% 5.64/5.86 => ( p
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__EQUIV__ROWS @ A_27a @ A_27c ) @ V0v )
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap @ ( c_2Elist_2ECONS @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27c ) ) )
% 5.64/5.86 @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__ROW @ A_27c @ A_27b @ A_27a ) @ V1p ) @ V2g )
% 5.64/5.86 @ ( lam @ A_27b
% 5.64/5.86 @ ^ [V6x: $i] :
% 5.64/5.86 ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH @ A_27c @ A_27b ) @ V6x )
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap @ ( c_2Elist_2EMAP @ ( arr @ A_27b @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27c ) ) ) @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27c ) ) )
% 5.64/5.86 @ ( lam @ ( arr @ A_27b @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27c ) ) )
% 5.64/5.86 @ ^ [V7r: $i] : ( ap @ V7r @ V6x ) ) )
% 5.64/5.86 @ V3rows ) ) ) ) )
% 5.64/5.86 @ ( c_2Elist_2ENIL @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27c ) ) ) ) )
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap @ ( c_2Elist_2EMAP @ ( arr @ A_27b @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27c ) ) ) @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27c ) ) )
% 5.64/5.86 @ ( lam @ ( arr @ A_27b @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27c ) ) )
% 5.64/5.86 @ ^ [V8r: $i] : ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__FLATTEN__FUN @ A_27c @ A_27b @ A_27a ) @ V1p ) @ V2g ) @ V8r ) ) )
% 5.64/5.86 @ V3rows ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EpatternMatches_2EPMATCH__FLATTEN__THM,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,A_27c: del,V0v: $i] :
% 5.64/5.86 ( ( mem @ V0v @ A_27a )
% 5.64/5.86 => ! [V1p: $i] :
% 5.64/5.86 ( ( mem @ V1p @ ( arr @ A_27b @ A_27a ) )
% 5.64/5.86 => ! [V2g: $i] :
% 5.64/5.86 ( ( mem @ V2g @ ( arr @ A_27b @ bool ) )
% 5.64/5.86 => ! [V3rows1: $i] :
% 5.64/5.86 ( ( mem @ V3rows1 @ ( ty_2Elist_2Elist @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27c ) ) ) )
% 5.64/5.86 => ! [V4rows2: $i] :
% 5.64/5.86 ( ( mem @ V4rows2 @ ( ty_2Elist_2Elist @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27c ) ) ) )
% 5.64/5.86 => ! [V5rows: $i] :
% 5.64/5.86 ( ( mem @ V5rows @ ( ty_2Elist_2Elist @ ( arr @ A_27b @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27c ) ) ) ) )
% 5.64/5.86 => ( ! [V6x: $i] :
% 5.64/5.86 ( ( mem @ V6x @ A_27b )
% 5.64/5.86 => ( p
% 5.64/5.86 @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__IS__EXHAUSTIVE @ A_27b @ A_27c ) @ V6x )
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap @ ( c_2Elist_2EMAP @ ( arr @ A_27b @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27c ) ) ) @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27c ) ) )
% 5.64/5.86 @ ( lam @ ( arr @ A_27b @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27c ) ) )
% 5.64/5.86 @ ^ [V7r: $i] : ( ap @ V7r @ V6x ) ) )
% 5.64/5.86 @ V5rows ) ) ) )
% 5.64/5.86 => ( ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH @ A_27c @ A_27a ) @ V0v )
% 5.64/5.86 @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27c ) ) ) @ V3rows1 )
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap @ ( c_2Elist_2ECONS @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27c ) ) )
% 5.64/5.86 @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__ROW @ A_27c @ A_27b @ A_27a ) @ V1p ) @ V2g )
% 5.64/5.86 @ ( lam @ A_27b
% 5.64/5.86 @ ^ [V8x: $i] :
% 5.64/5.86 ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH @ A_27c @ A_27b ) @ V8x )
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap @ ( c_2Elist_2EMAP @ ( arr @ A_27b @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27c ) ) ) @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27c ) ) )
% 5.64/5.86 @ ( lam @ ( arr @ A_27b @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27c ) ) )
% 5.64/5.86 @ ^ [V9r: $i] : ( ap @ V9r @ V8x ) ) )
% 5.64/5.86 @ V5rows ) ) ) ) )
% 5.64/5.86 @ V4rows2 ) ) )
% 5.64/5.86 = ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH @ A_27c @ A_27a ) @ V0v )
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap @ ( c_2Elist_2EAPPEND @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27c ) ) )
% 5.64/5.86 @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27c ) ) ) @ V3rows1 )
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap @ ( c_2Elist_2EMAP @ ( arr @ A_27b @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27c ) ) ) @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27c ) ) )
% 5.64/5.86 @ ( lam @ ( arr @ A_27b @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27c ) ) )
% 5.64/5.86 @ ^ [V10r: $i] : ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__FLATTEN__FUN @ A_27c @ A_27b @ A_27a ) @ V1p ) @ V2g ) @ V10r ) ) )
% 5.64/5.86 @ V5rows ) ) )
% 5.64/5.86 @ V4rows2 ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EpatternMatches_2EPMATCH__FLATTEN__FUN__PMATCH__ROW,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0p: $i] :
% 5.64/5.86 ( ( mem @ V0p @ ( arr @ A_27a @ A_27b ) )
% 5.64/5.86 => ( ! [V1x1: $i] :
% 5.64/5.86 ( ( mem @ V1x1 @ A_27a )
% 5.64/5.86 => ! [V2x2: $i] :
% 5.64/5.86 ( ( mem @ V2x2 @ A_27a )
% 5.64/5.86 => ( ( ( ap @ V0p @ V1x1 )
% 5.64/5.86 = ( ap @ V0p @ V2x2 ) )
% 5.64/5.86 => ( V1x1 = V2x2 ) ) ) )
% 5.64/5.86 => ! [V3g: $i] :
% 5.64/5.86 ( ( mem @ V3g @ ( arr @ A_27a @ bool ) )
% 5.64/5.86 => ! [V4p_27: $i] :
% 5.64/5.86 ( ( mem @ V4p_27 @ ( arr @ A_27c @ A_27a ) )
% 5.64/5.86 => ! [V5g_27: $i] :
% 5.64/5.86 ( ( mem @ V5g_27 @ ( arr @ A_27a @ ( arr @ A_27c @ bool ) ) )
% 5.64/5.86 => ! [V6r_27: $i] :
% 5.64/5.86 ( ( mem @ V6r_27 @ ( arr @ A_27a @ ( arr @ A_27c @ A_27d ) ) )
% 5.64/5.86 => ( ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__FLATTEN__FUN @ A_27d @ A_27a @ A_27b ) @ V0p ) @ V3g )
% 5.64/5.86 @ ( lam @ A_27a
% 5.64/5.86 @ ^ [V7x: $i] : ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__ROW @ A_27d @ A_27c @ A_27a ) @ V4p_27 ) @ ( ap @ V5g_27 @ V7x ) ) @ ( ap @ V6r_27 @ V7x ) ) ) )
% 5.64/5.86 = ( ap
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap @ ( c_2EpatternMatches_2EPMATCH__ROW @ A_27d @ A_27c @ A_27b )
% 5.64/5.86 @ ( lam @ A_27c
% 5.64/5.86 @ ^ [V8x: $i] : ( ap @ V0p @ ( ap @ V4p_27 @ V8x ) ) ) )
% 5.64/5.86 @ ( lam @ A_27c
% 5.64/5.86 @ ^ [V9x: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V3g @ ( ap @ V4p_27 @ V9x ) ) ) @ ( ap @ ( ap @ V5g_27 @ ( ap @ V4p_27 @ V9x ) ) @ V9x ) ) ) )
% 5.64/5.86 @ ( lam @ A_27c
% 5.64/5.86 @ ^ [V10x: $i] : ( ap @ ( ap @ V6r_27 @ ( ap @ V4p_27 @ V10x ) ) @ V10x ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(ax_thm_2EpatternMatches_2EPMATCH__ROW__COND__NOT__EX__OR__EQ__def,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,V0i: $i] :
% 5.64/5.86 ( ( mem @ V0i @ A_27a )
% 5.64/5.86 => ! [V1r: $i] :
% 5.64/5.86 ( ( mem @ V1r @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) )
% 5.64/5.86 => ! [V2rows: $i] :
% 5.64/5.86 ( ( mem @ V2rows @ ( ty_2Elist_2Elist @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) )
% 5.64/5.86 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__ROW__COND__NOT__EX__OR__EQ @ A_27a @ A_27b ) @ V0i ) @ V1r ) @ V2rows ) )
% 5.64/5.86 <=> ( ( ( ap @ V1r @ V0i )
% 5.64/5.86 != ( c_2Eoption_2ENONE @ A_27b ) )
% 5.64/5.86 | ( ( p
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap @ ( c_2Elist_2EEXISTS @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) )
% 5.64/5.86 @ ( lam @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) )
% 5.64/5.86 @ ^ [V3row: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Eoption_2Eoption @ A_27b ) ) @ ( ap @ V3row @ V0i ) ) @ ( c_2Eoption_2ENONE @ A_27b ) ) ) ) )
% 5.64/5.86 @ V2rows ) )
% 5.64/5.86 & ( ( ap @ ( c_2Eoption_2ETHE @ A_27b ) @ ( ap @ V1r @ V0i ) )
% 5.64/5.86 = ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH @ A_27b @ A_27a ) @ V0i ) @ V2rows ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EpatternMatches_2EPMATCH__ROW__COND__NOT__EX__OR__EQ__FIRST__ROW,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,V0i: $i] :
% 5.64/5.86 ( ( mem @ V0i @ A_27a )
% 5.64/5.86 => ! [V1r: $i] :
% 5.64/5.86 ( ( mem @ V1r @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) )
% 5.64/5.86 => ! [V2r_27: $i] :
% 5.64/5.86 ( ( mem @ V2r_27 @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) )
% 5.64/5.86 => ! [V3rows: $i] :
% 5.64/5.86 ( ( mem @ V3rows @ ( ty_2Elist_2Elist @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) )
% 5.64/5.86 => ( ( ( ap @ V2r_27 @ V0i )
% 5.64/5.86 != ( c_2Eoption_2ENONE @ A_27b ) )
% 5.64/5.86 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__ROW__COND__NOT__EX__OR__EQ @ A_27a @ A_27b ) @ V0i ) @ V1r ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) @ V2r_27 ) @ V3rows ) ) )
% 5.64/5.86 <=> ( ( ( ap @ V1r @ V0i )
% 5.64/5.86 != ( c_2Eoption_2ENONE @ A_27b ) )
% 5.64/5.86 => ( ( ap @ V1r @ V0i )
% 5.64/5.86 = ( ap @ V2r_27 @ V0i ) ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EpatternMatches_2EPMATCH__ROW__COND__NOT__EX__OR__EQ__NIL,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,V0i: $i] :
% 5.64/5.86 ( ( mem @ V0i @ A_27a )
% 5.64/5.86 => ! [V1r: $i] :
% 5.64/5.86 ( ( mem @ V1r @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) )
% 5.64/5.86 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__ROW__COND__NOT__EX__OR__EQ @ A_27a @ A_27b ) @ V0i ) @ V1r ) @ ( c_2Elist_2ENIL @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) ) )
% 5.64/5.86 <=> ( ( ( ap @ V1r @ V0i )
% 5.64/5.86 != ( c_2Eoption_2ENONE @ A_27b ) )
% 5.64/5.86 => $false ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EpatternMatches_2EPMATCH__ROW__COND__NOT__EX__OR__EQ__NOT__FIRST__ROW,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,V0i: $i] :
% 5.64/5.86 ( ( mem @ V0i @ A_27a )
% 5.64/5.86 => ! [V1r_27: $i] :
% 5.64/5.86 ( ( mem @ V1r_27 @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) )
% 5.64/5.86 => ! [V2rows: $i] :
% 5.64/5.86 ( ( mem @ V2rows @ ( ty_2Elist_2Elist @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) )
% 5.64/5.86 => ! [V3r: $i] :
% 5.64/5.86 ( ( mem @ V3r @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) )
% 5.64/5.86 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__ROW__COND__NOT__EX__OR__EQ @ A_27a @ A_27b ) @ V0i ) @ V1r_27 ) @ V2rows ) )
% 5.64/5.86 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__ROW__COND__NOT__EX__OR__EQ @ A_27a @ A_27b ) @ V0i ) @ V3r ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) @ V1r_27 ) @ V2rows ) ) )
% 5.64/5.86 <=> ( p @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__ROW__COND__NOT__EX__OR__EQ @ A_27a @ A_27b ) @ V0i ) @ V3r ) @ V2rows ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EpatternMatches_2EPMATCH__PRED__UNROLL__NIL,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,A_27c: del,V0P: $i] :
% 5.64/5.86 ( ( mem @ V0P @ ( arr @ A_27a @ A_27b ) )
% 5.64/5.86 => ! [V1v: $i] :
% 5.64/5.86 ( ( mem @ V1v @ A_27c )
% 5.64/5.86 => ( ( ap @ V0P @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH @ A_27a @ A_27c ) @ V1v ) @ ( c_2Elist_2ENIL @ ( arr @ A_27c @ ( ty_2Eoption_2Eoption @ A_27a ) ) ) ) )
% 5.64/5.86 = ( ap @ V0P @ ( c_2Ebool_2EARB @ A_27a ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EpatternMatches_2EPMATCH__PRED__UNROLL__CONS,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.64/5.86 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.64/5.86 => ! [V1v: $i] :
% 5.64/5.86 ( ( mem @ V1v @ A_27b )
% 5.64/5.86 => ! [V2r: $i] :
% 5.64/5.86 ( ( mem @ V2r @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27a ) ) )
% 5.64/5.86 => ! [V3rows: $i] :
% 5.64/5.86 ( ( mem @ V3rows @ ( ty_2Elist_2Elist @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27a ) ) ) )
% 5.64/5.86 => ( ( p @ ( ap @ V0P @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH @ A_27a @ A_27b ) @ V1v ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27a ) ) ) @ V2r ) @ V3rows ) ) ) )
% 5.64/5.86 <=> ( ( ( ( ap @ V2r @ V1v )
% 5.64/5.86 != ( c_2Eoption_2ENONE @ A_27a ) )
% 5.64/5.86 => ( p @ ( ap @ V0P @ ( ap @ ( c_2Eoption_2ETHE @ A_27a ) @ ( ap @ V2r @ V1v ) ) ) ) )
% 5.64/5.86 & ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__ROW__COND__NOT__EX__OR__EQ @ A_27b @ A_27a ) @ V1v ) @ V2r ) @ V3rows ) )
% 5.64/5.86 => ( p @ ( ap @ V0P @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH @ A_27a @ A_27b ) @ V1v ) @ V3rows ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(ax_thm_2EpatternMatches_2EPMATCH__EXPAND__PRED__def,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del] :
% 5.64/5.86 ( ! [V0P: $i] :
% 5.64/5.86 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.64/5.86 => ! [V1v: $i] :
% 5.64/5.86 ( ( mem @ V1v @ A_27b )
% 5.64/5.86 => ! [V2rows__before: $i] :
% 5.64/5.86 ( ( mem @ V2rows__before @ ( ty_2Elist_2Elist @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27a ) ) ) )
% 5.64/5.86 => ( ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__EXPAND__PRED @ A_27a @ A_27b ) @ V0P ) @ V1v ) @ V2rows__before ) @ ( c_2Elist_2ENIL @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27a ) ) ) ) )
% 5.64/5.86 <=> ( ~ ( p @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__IS__EXHAUSTIVE @ A_27b @ A_27a ) @ V1v ) @ ( ap @ ( c_2Elist_2EREVERSE @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27a ) ) ) @ V2rows__before ) ) )
% 5.64/5.86 => ( p @ ( ap @ V0P @ ( c_2Ebool_2EARB @ A_27a ) ) ) ) ) ) ) )
% 5.64/5.86 & ! [V3P: $i] :
% 5.64/5.86 ( ( mem @ V3P @ ( arr @ A_27a @ bool ) )
% 5.64/5.86 => ! [V4v: $i] :
% 5.64/5.86 ( ( mem @ V4v @ A_27b )
% 5.64/5.86 => ! [V5rows__before: $i] :
% 5.64/5.86 ( ( mem @ V5rows__before @ ( ty_2Elist_2Elist @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27a ) ) ) )
% 5.64/5.86 => ! [V6r: $i] :
% 5.64/5.86 ( ( mem @ V6r @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27a ) ) )
% 5.64/5.86 => ! [V7rows__after: $i] :
% 5.64/5.86 ( ( mem @ V7rows__after @ ( ty_2Elist_2Elist @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27a ) ) ) )
% 5.64/5.86 => ( ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__EXPAND__PRED @ A_27a @ A_27b ) @ V3P ) @ V4v ) @ V5rows__before ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27a ) ) ) @ V6r ) @ V7rows__after ) ) )
% 5.64/5.86 <=> ( ( ( ( ap @ V6r @ V4v )
% 5.64/5.86 != ( c_2Eoption_2ENONE @ A_27a ) )
% 5.64/5.86 => ( ( p
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap @ ( c_2Elist_2EEVERY @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27a ) ) )
% 5.64/5.86 @ ( lam @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27a ) )
% 5.64/5.86 @ ^ [V8r_27: $i] : ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ c_2Ebool_2E_7E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ ( ap @ V8r_27 @ V4v ) ) @ ( c_2Eoption_2ENONE @ A_27a ) ) ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ ( ap @ V8r_27 @ V4v ) ) @ ( ap @ V6r @ V4v ) ) ) ) )
% 5.64/5.86 @ V5rows__before ) )
% 5.64/5.86 => ( p @ ( ap @ V3P @ ( ap @ ( c_2Eoption_2ETHE @ A_27a ) @ ( ap @ V6r @ V4v ) ) ) ) ) )
% 5.64/5.86 & ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__EXPAND__PRED @ A_27a @ A_27b ) @ V3P ) @ V4v ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27a ) ) ) @ V6r ) @ V5rows__before ) ) @ V7rows__after ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EpatternMatches_2EPMATCH__EXPAND__PRED__THM__GEN,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.64/5.86 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.64/5.86 => ! [V1v: $i] :
% 5.64/5.86 ( ( mem @ V1v @ A_27b )
% 5.64/5.86 => ! [V2rows__before: $i] :
% 5.64/5.86 ( ( mem @ V2rows__before @ ( ty_2Elist_2Elist @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27a ) ) ) )
% 5.64/5.86 => ! [V3rows__after: $i] :
% 5.64/5.86 ( ( mem @ V3rows__after @ ( ty_2Elist_2Elist @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27a ) ) ) )
% 5.64/5.86 => ( ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__EXPAND__PRED @ A_27a @ A_27b ) @ V0P ) @ V1v ) @ V2rows__before ) @ V3rows__after ) )
% 5.64/5.86 <=> ( ( p
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap @ ( c_2Elist_2EEVERY @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27a ) ) )
% 5.64/5.86 @ ( lam @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27a ) )
% 5.64/5.86 @ ^ [V4r: $i] : ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__ROW__COND__NOT__EX__OR__EQ @ A_27b @ A_27a ) @ V1v ) @ V4r ) @ V3rows__after ) ) )
% 5.64/5.86 @ V2rows__before ) )
% 5.64/5.86 => ( p @ ( ap @ V0P @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH @ A_27a @ A_27b ) @ V1v ) @ V3rows__after ) ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EpatternMatches_2EPMATCH__EXPAND__PRED__THM,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.64/5.86 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.64/5.86 => ! [V1v: $i] :
% 5.64/5.86 ( ( mem @ V1v @ A_27b )
% 5.64/5.86 => ! [V2rows: $i] :
% 5.64/5.86 ( ( mem @ V2rows @ ( ty_2Elist_2Elist @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27a ) ) ) )
% 5.64/5.86 => ( ( p @ ( ap @ V0P @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH @ A_27a @ A_27b ) @ V1v ) @ V2rows ) ) )
% 5.64/5.86 <=> ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__EXPAND__PRED @ A_27a @ A_27b ) @ V0P ) @ V1v ) @ ( c_2Elist_2ENIL @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27a ) ) ) ) @ V2rows ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(ax_thm_2EpatternMatches_2EPMATCH__ROW__LIFT__def,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.64/5.86 ( ( mem @ V0f @ ( arr @ A_27c @ A_27b ) )
% 5.64/5.86 => ! [V1r: $i] :
% 5.64/5.86 ( ( mem @ V1r @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27c ) ) )
% 5.64/5.86 => ( ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__ROW__LIFT @ A_27a @ A_27b @ A_27c ) @ V0f ) @ V1r )
% 5.64/5.86 = ( lam @ A_27a
% 5.64/5.86 @ ^ [V2x: $i] : ( ap @ ( ap @ ( c_2Eoption_2EOPTION__MAP @ A_27c @ A_27b ) @ V0f ) @ ( ap @ V1r @ V2x ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EpatternMatches_2EPMATCH__LIFT__THM,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.64/5.86 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.64/5.86 => ! [V1v: $i] :
% 5.64/5.86 ( ( mem @ V1v @ A_27c )
% 5.64/5.86 => ! [V2rows: $i] :
% 5.64/5.86 ( ( mem @ V2rows @ ( ty_2Elist_2Elist @ ( arr @ A_27c @ ( ty_2Eoption_2Eoption @ A_27a ) ) ) )
% 5.64/5.86 => ( ( p @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__IS__EXHAUSTIVE @ A_27c @ A_27a ) @ V1v ) @ V2rows ) )
% 5.64/5.86 => ( ( ap @ V0f @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH @ A_27a @ A_27c ) @ V1v ) @ V2rows ) )
% 5.64/5.86 = ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH @ A_27b @ A_27c ) @ V1v ) @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ ( arr @ A_27c @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ ( arr @ A_27c @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) @ ( ap @ ( c_2EpatternMatches_2EPMATCH__ROW__LIFT @ A_27c @ A_27b @ A_27a ) @ V0f ) ) @ V2rows ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EpatternMatches_2EPMATCH__ROW__LIFT__THM,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0f: $i] :
% 5.64/5.86 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.64/5.86 => ! [V1p: $i] :
% 5.64/5.86 ( ( mem @ V1p @ ( arr @ A_27c @ A_27d ) )
% 5.64/5.86 => ! [V2g: $i] :
% 5.64/5.86 ( ( mem @ V2g @ ( arr @ A_27c @ bool ) )
% 5.64/5.86 => ! [V3r: $i] :
% 5.64/5.86 ( ( mem @ V3r @ ( arr @ A_27c @ A_27a ) )
% 5.64/5.86 => ( ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__ROW__LIFT @ A_27d @ A_27b @ A_27a ) @ V0f ) @ ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__ROW @ A_27a @ A_27c @ A_27d ) @ V1p ) @ V2g ) @ V3r ) )
% 5.64/5.86 = ( ap @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__ROW @ A_27b @ A_27c @ A_27d ) @ V1p ) @ V2g )
% 5.64/5.86 @ ( lam @ A_27c
% 5.64/5.86 @ ^ [V4x: $i] : ( ap @ V0f @ ( ap @ V3r @ V4x ) ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EpatternMatches_2EPMATCH__IS__EXHAUSTIVE__LIFT,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.64/5.86 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.64/5.86 => ! [V1v: $i] :
% 5.64/5.86 ( ( mem @ V1v @ A_27c )
% 5.64/5.86 => ! [V2rows: $i] :
% 5.64/5.86 ( ( mem @ V2rows @ ( ty_2Elist_2Elist @ ( arr @ A_27c @ ( ty_2Eoption_2Eoption @ A_27a ) ) ) )
% 5.64/5.86 => ( ( p @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__IS__EXHAUSTIVE @ A_27c @ A_27a ) @ V1v ) @ V2rows ) )
% 5.64/5.86 => ( p @ ( ap @ ( ap @ ( c_2EpatternMatches_2EPMATCH__IS__EXHAUSTIVE @ A_27c @ A_27b ) @ V1v ) @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ ( arr @ A_27c @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ ( arr @ A_27c @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) @ ( ap @ ( c_2EpatternMatches_2EPMATCH__ROW__LIFT @ A_27c @ A_27b @ A_27a ) @ V0f ) ) @ V2rows ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 %------------------------------------------------------------------------------
% 5.64/5.86 %------------------------------------------------------------------------------
% 5.64/5.86 thf(tp_c_2EindexedLists_2EFOLDRi,type,
% 5.64/5.86 c_2EindexedLists_2EFOLDRi: del > del > $i ).
% 5.64/5.86
% 5.64/5.86 thf(mem_c_2EindexedLists_2EFOLDRi,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2EindexedLists_2EFOLDRi @ A_27a @ A_27b ) @ ( arr @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27b @ ( arr @ A_27a @ A_27a ) ) ) @ ( arr @ A_27a @ ( arr @ ( ty_2Elist_2Elist @ A_27b ) @ A_27a ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(tp_c_2EindexedLists_2ELIST__RELi,type,
% 5.64/5.86 c_2EindexedLists_2ELIST__RELi: del > del > $i ).
% 5.64/5.86
% 5.64/5.86 thf(mem_c_2EindexedLists_2ELIST__RELi,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2EindexedLists_2ELIST__RELi @ A_27a @ A_27b ) @ ( arr @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ ( ty_2Elist_2Elist @ A_27b ) @ bool ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(tp_c_2EindexedLists_2EMAP2i,type,
% 5.64/5.86 c_2EindexedLists_2EMAP2i: del > del > del > $i ).
% 5.64/5.86
% 5.64/5.86 thf(mem_c_2EindexedLists_2EMAP2i,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,A_27c: del] : ( mem @ ( c_2EindexedLists_2EMAP2i @ A_27a @ A_27b @ A_27c ) @ ( arr @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27b @ ( arr @ A_27c @ A_27a ) ) ) @ ( arr @ ( ty_2Elist_2Elist @ A_27b ) @ ( arr @ ( ty_2Elist_2Elist @ A_27c ) @ ( ty_2Elist_2Elist @ A_27a ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(tp_c_2EindexedLists_2EMAP2ia,type,
% 5.64/5.86 c_2EindexedLists_2EMAP2ia: del > del > del > $i ).
% 5.64/5.86
% 5.64/5.86 thf(mem_c_2EindexedLists_2EMAP2ia,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,A_27c: del] : ( mem @ ( c_2EindexedLists_2EMAP2ia @ A_27a @ A_27b @ A_27c ) @ ( arr @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27b @ ( arr @ A_27c @ A_27a ) ) ) @ ( arr @ ty_2Enum_2Enum @ ( arr @ ( ty_2Elist_2Elist @ A_27b ) @ ( arr @ ( ty_2Elist_2Elist @ A_27c ) @ ( ty_2Elist_2Elist @ A_27a ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(tp_c_2EindexedLists_2EMAPi,type,
% 5.64/5.86 c_2EindexedLists_2EMAPi: del > del > $i ).
% 5.64/5.86
% 5.64/5.86 thf(mem_c_2EindexedLists_2EMAPi,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2EindexedLists_2EMAPi @ A_27a @ A_27b ) @ ( arr @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27b @ A_27a ) ) @ ( arr @ ( ty_2Elist_2Elist @ A_27b ) @ ( ty_2Elist_2Elist @ A_27a ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(tp_c_2EindexedLists_2EMAPi__ACC,type,
% 5.64/5.86 c_2EindexedLists_2EMAPi__ACC: del > del > $i ).
% 5.64/5.86
% 5.64/5.86 thf(mem_c_2EindexedLists_2EMAPi__ACC,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2EindexedLists_2EMAPi__ACC @ A_27a @ A_27b ) @ ( arr @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27b @ A_27a ) ) @ ( arr @ ty_2Enum_2Enum @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ ( ty_2Elist_2Elist @ A_27b ) @ ( ty_2Elist_2Elist @ A_27a ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(tp_c_2EindexedLists_2EdelN,type,
% 5.64/5.86 c_2EindexedLists_2EdelN: del > $i ).
% 5.64/5.86
% 5.64/5.86 thf(mem_c_2EindexedLists_2EdelN,axiom,
% 5.64/5.86 ! [A_27a: del] : ( mem @ ( c_2EindexedLists_2EdelN @ A_27a ) @ ( arr @ ty_2Enum_2Enum @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(tp_c_2EindexedLists_2Efindi,type,
% 5.64/5.86 c_2EindexedLists_2Efindi: del > $i ).
% 5.64/5.86
% 5.64/5.86 thf(mem_c_2EindexedLists_2Efindi,axiom,
% 5.64/5.86 ! [A_27a: del] : ( mem @ ( c_2EindexedLists_2Efindi @ A_27a ) @ ( arr @ A_27a @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ty_2Enum_2Enum ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(tp_c_2EindexedLists_2EfupdLast,type,
% 5.64/5.86 c_2EindexedLists_2EfupdLast: del > $i ).
% 5.64/5.86
% 5.64/5.86 thf(mem_c_2EindexedLists_2EfupdLast,axiom,
% 5.64/5.86 ! [A_27a: del] : ( mem @ ( c_2EindexedLists_2EfupdLast @ A_27a ) @ ( arr @ ( arr @ A_27a @ A_27a ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(ax_thm_2EindexedLists_2EMAPi__def,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del] :
% 5.64/5.86 ( ! [V0f: $i] :
% 5.64/5.86 ( ( mem @ V0f @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27b @ A_27a ) ) )
% 5.64/5.86 => ( ( ap @ ( ap @ ( c_2EindexedLists_2EMAPi @ A_27a @ A_27b ) @ V0f ) @ ( c_2Elist_2ENIL @ A_27b ) )
% 5.64/5.86 = ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.64/5.86 & ! [V1f: $i] :
% 5.64/5.86 ( ( mem @ V1f @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27b @ A_27a ) ) )
% 5.64/5.86 => ! [V2h: $i] :
% 5.64/5.86 ( ( mem @ V2h @ A_27b )
% 5.64/5.86 => ! [V3t: $i] :
% 5.64/5.86 ( ( mem @ V3t @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.64/5.86 => ( ( ap @ ( ap @ ( c_2EindexedLists_2EMAPi @ A_27a @ A_27b ) @ V1f ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27b ) @ V2h ) @ V3t ) )
% 5.64/5.86 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( ap @ V1f @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ V2h ) ) @ ( ap @ ( ap @ ( c_2EindexedLists_2EMAPi @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ty_2Enum_2Enum @ ( arr @ A_27b @ A_27a ) @ ty_2Enum_2Enum ) @ V1f ) @ c_2Enum_2ESUC ) ) @ V3t ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(ax_thm_2EindexedLists_2EMAPi__ACC__def,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del] :
% 5.64/5.86 ( ! [V0f: $i] :
% 5.64/5.86 ( ( mem @ V0f @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27b @ A_27a ) ) )
% 5.64/5.86 => ! [V1i: tp__ty_2Enum_2Enum,V2a: $i] :
% 5.64/5.86 ( ( mem @ V2a @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.86 => ( ( ap @ ( ap @ ( ap @ ( ap @ ( c_2EindexedLists_2EMAPi__ACC @ A_27a @ A_27b ) @ V0f ) @ ( inj__ty_2Enum_2Enum @ V1i ) ) @ V2a ) @ ( c_2Elist_2ENIL @ A_27b ) )
% 5.64/5.86 = ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ V2a ) ) ) )
% 5.64/5.86 & ! [V3f: $i] :
% 5.64/5.86 ( ( mem @ V3f @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27b @ A_27a ) ) )
% 5.64/5.86 => ! [V4i: tp__ty_2Enum_2Enum,V5a: $i] :
% 5.64/5.86 ( ( mem @ V5a @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.86 => ! [V6h: $i] :
% 5.64/5.86 ( ( mem @ V6h @ A_27b )
% 5.64/5.86 => ! [V7t: $i] :
% 5.64/5.86 ( ( mem @ V7t @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.64/5.86 => ( ( ap @ ( ap @ ( ap @ ( ap @ ( c_2EindexedLists_2EMAPi__ACC @ A_27a @ A_27b ) @ V3f ) @ ( inj__ty_2Enum_2Enum @ V4i ) ) @ V5a ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27b ) @ V6h ) @ V7t ) )
% 5.64/5.86 = ( ap @ ( ap @ ( ap @ ( ap @ ( c_2EindexedLists_2EMAPi__ACC @ A_27a @ A_27b ) @ V3f ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V4i ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( ap @ V3f @ ( inj__ty_2Enum_2Enum @ V4i ) ) @ V6h ) ) @ V5a ) ) @ V7t ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EindexedLists_2EMAPi__ACC__MAPi,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.64/5.86 ( ( mem @ V0f @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27b @ A_27a ) ) )
% 5.64/5.86 => ! [V1n: tp__ty_2Enum_2Enum,V2a: $i] :
% 5.64/5.86 ( ( mem @ V2a @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.86 => ! [V3l: $i] :
% 5.64/5.86 ( ( mem @ V3l @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.64/5.86 => ( ( ap @ ( ap @ ( ap @ ( ap @ ( c_2EindexedLists_2EMAPi__ACC @ A_27a @ A_27b ) @ V0f ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ V2a ) @ V3l )
% 5.64/5.86 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ V2a ) ) @ ( ap @ ( ap @ ( c_2EindexedLists_2EMAPi @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ty_2Enum_2Enum @ ( arr @ A_27b @ A_27a ) @ ty_2Enum_2Enum ) @ V0f ) @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) @ V3l ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EindexedLists_2EMAPi__compute,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.64/5.86 ( ( mem @ V0f @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27b @ A_27a ) ) )
% 5.64/5.86 => ! [V1l: $i] :
% 5.64/5.86 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.64/5.86 => ( ( ap @ ( ap @ ( c_2EindexedLists_2EMAPi @ A_27a @ A_27b ) @ V0f ) @ V1l )
% 5.64/5.86 = ( ap @ ( ap @ ( ap @ ( ap @ ( c_2EindexedLists_2EMAPi__ACC @ A_27a @ A_27b ) @ V0f ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) @ V1l ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EindexedLists_2ELT__SUC,axiom,
% 5.64/5.86 ! [V0n: tp__ty_2Enum_2Enum,V1m: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) )
% 5.64/5.86 <=> ( ( V0n = fo__c_2Enum_2E0 )
% 5.64/5.86 | ? [V2n0: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( V0n
% 5.64/5.86 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V2n0 ) ) ) )
% 5.64/5.86 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V2n0 ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EindexedLists_2EMEM__MAPi,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,V0x: $i] :
% 5.64/5.86 ( ( mem @ V0x @ A_27a )
% 5.64/5.86 => ! [V1f: $i] :
% 5.64/5.86 ( ( mem @ V1f @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27b @ A_27a ) ) )
% 5.64/5.86 => ! [V2l: $i] :
% 5.64/5.86 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.64/5.86 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ ( ap @ ( ap @ ( c_2EindexedLists_2EMAPi @ A_27a @ A_27b ) @ V1f ) @ V2l ) ) ) )
% 5.64/5.86 <=> ? [V3n: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V3n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27b ) @ V2l ) ) )
% 5.64/5.86 & ( V0x
% 5.64/5.86 = ( ap @ ( ap @ V1f @ ( inj__ty_2Enum_2Enum @ V3n ) ) @ ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V3n ) ) @ V2l ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EindexedLists_2EMAPi__CONG,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,V0l1: $i] :
% 5.64/5.86 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.86 => ! [V1l2: $i] :
% 5.64/5.86 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.86 => ! [V2f1: $i] :
% 5.64/5.86 ( ( mem @ V2f1 @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ A_27b ) ) )
% 5.64/5.86 => ! [V3f2: $i] :
% 5.64/5.86 ( ( mem @ V3f2 @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ A_27b ) ) )
% 5.64/5.86 => ( ( ( V0l1 = V1l2 )
% 5.64/5.86 & ! [V4x: $i] :
% 5.64/5.86 ( ( mem @ V4x @ A_27a )
% 5.64/5.86 => ! [V5n: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V4x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V1l2 ) ) )
% 5.64/5.86 => ( ( ap @ ( ap @ V2f1 @ ( inj__ty_2Enum_2Enum @ V5n ) ) @ V4x )
% 5.64/5.86 = ( ap @ ( ap @ V3f2 @ ( inj__ty_2Enum_2Enum @ V5n ) ) @ V4x ) ) ) ) )
% 5.64/5.86 => ( ( ap @ ( ap @ ( c_2EindexedLists_2EMAPi @ A_27b @ A_27a ) @ V2f1 ) @ V0l1 )
% 5.64/5.86 = ( ap @ ( ap @ ( c_2EindexedLists_2EMAPi @ A_27b @ A_27a ) @ V3f2 ) @ V1l2 ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EindexedLists_2EMAPi__CONG_27,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,V0l1: $i] :
% 5.64/5.86 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.86 => ! [V1l2: $i] :
% 5.64/5.86 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.86 => ! [V2f1: $i] :
% 5.64/5.86 ( ( mem @ V2f1 @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ A_27b ) ) )
% 5.64/5.86 => ! [V3f2: $i] :
% 5.64/5.86 ( ( mem @ V3f2 @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ A_27b ) ) )
% 5.64/5.86 => ( ( V0l1 = V1l2 )
% 5.64/5.86 => ( ! [V4x: $i] :
% 5.64/5.86 ( ( mem @ V4x @ A_27a )
% 5.64/5.86 => ! [V5n: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( V4x
% 5.64/5.86 = ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V5n ) ) @ V1l2 ) )
% 5.64/5.86 => ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V5n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l2 ) ) )
% 5.64/5.86 => ( ( ap @ ( ap @ V2f1 @ ( inj__ty_2Enum_2Enum @ V5n ) ) @ V4x )
% 5.64/5.86 = ( ap @ ( ap @ V3f2 @ ( inj__ty_2Enum_2Enum @ V5n ) ) @ V4x ) ) ) ) )
% 5.64/5.86 => ( ( ap @ ( ap @ ( c_2EindexedLists_2EMAPi @ A_27b @ A_27a ) @ V2f1 ) @ V0l1 )
% 5.64/5.86 = ( ap @ ( ap @ ( c_2EindexedLists_2EMAPi @ A_27b @ A_27a ) @ V3f2 ) @ V1l2 ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EindexedLists_2ELENGTH__MAPi,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.64/5.86 ( ( mem @ V0f @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ A_27b ) ) )
% 5.64/5.86 => ! [V1l: $i] :
% 5.64/5.86 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.86 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27b ) @ ( ap @ ( ap @ ( c_2EindexedLists_2EMAPi @ A_27b @ A_27a ) @ V0f ) @ V1l ) ) )
% 5.64/5.86 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EindexedLists_2EMAP__MAPi,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.64/5.86 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.64/5.86 => ! [V1g: $i] :
% 5.64/5.86 ( ( mem @ V1g @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27c @ A_27a ) ) )
% 5.64/5.86 => ! [V2l: $i] :
% 5.64/5.86 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27c ) )
% 5.64/5.86 => ( ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27a @ A_27b ) @ V0f ) @ ( ap @ ( ap @ ( c_2EindexedLists_2EMAPi @ A_27a @ A_27c ) @ V1g ) @ V2l ) )
% 5.64/5.86 = ( ap @ ( ap @ ( c_2EindexedLists_2EMAPi @ A_27b @ A_27c ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ty_2Enum_2Enum @ ( arr @ A_27c @ A_27b ) @ ( arr @ A_27c @ A_27a ) ) @ ( ap @ ( c_2Ecombin_2Eo @ A_27c @ A_27b @ A_27a ) @ V0f ) ) @ V1g ) ) @ V2l ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EindexedLists_2EEL__MAPi,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.64/5.86 ( ( mem @ V0f @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ A_27b ) ) )
% 5.64/5.86 => ! [V1n: tp__ty_2Enum_2Enum,V2l: $i] :
% 5.64/5.86 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.86 => ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2l ) ) )
% 5.64/5.86 => ( ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ ( ap @ ( c_2EindexedLists_2EMAPi @ A_27b @ A_27a ) @ V0f ) @ V2l ) )
% 5.64/5.86 = ( ap @ ( ap @ V0f @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ V2l ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EindexedLists_2EMAPi__APPEND,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,V0l1: $i] :
% 5.64/5.86 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.86 => ! [V1l2: $i] :
% 5.64/5.86 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.86 => ! [V2f: $i] :
% 5.64/5.86 ( ( mem @ V2f @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ A_27b ) ) )
% 5.64/5.86 => ( ( ap @ ( ap @ ( c_2EindexedLists_2EMAPi @ A_27b @ A_27a ) @ V2f ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V0l1 ) @ V1l2 ) )
% 5.64/5.86 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27b ) @ ( ap @ ( ap @ ( c_2EindexedLists_2EMAPi @ A_27b @ A_27a ) @ V2f ) @ V0l1 ) ) @ ( ap @ ( ap @ ( c_2EindexedLists_2EMAPi @ A_27b @ A_27a ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ty_2Enum_2Enum @ ( arr @ A_27a @ A_27b ) @ ty_2Enum_2Enum ) @ V2f ) @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l1 ) ) ) ) @ V1l2 ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EindexedLists_2EMAPi__GENLIST,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,V0l: $i] :
% 5.64/5.86 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.86 => ! [V1f: $i] :
% 5.64/5.86 ( ( mem @ V1f @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ A_27b ) ) )
% 5.64/5.86 => ( ( ap @ ( ap @ ( c_2EindexedLists_2EMAPi @ A_27b @ A_27a ) @ V1f ) @ V0l )
% 5.64/5.86 = ( ap @ ( ap @ ( c_2Elist_2EGENLIST @ A_27b ) @ ( ap @ ( ap @ ( c_2Ecombin_2ES @ ty_2Enum_2Enum @ A_27a @ A_27b ) @ V1f ) @ ( ap @ ( ap @ ( c_2Ecombin_2EC @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ A_27a ) @ A_27a ) @ ( c_2Elist_2EEL @ A_27a ) ) @ V0l ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EindexedLists_2EGENLIST__CONG,axiom,
% 5.64/5.86 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1f1: $i] :
% 5.64/5.86 ( ( mem @ V1f1 @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.64/5.86 => ! [V2f2: $i] :
% 5.64/5.86 ( ( mem @ V2f2 @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.64/5.86 => ( ! [V3m: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V3m ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.64/5.86 => ( ( ap @ V1f1 @ ( inj__ty_2Enum_2Enum @ V3m ) )
% 5.64/5.86 = ( ap @ V2f2 @ ( inj__ty_2Enum_2Enum @ V3m ) ) ) )
% 5.64/5.86 => ( ( ap @ ( ap @ ( c_2Elist_2EGENLIST @ A_27a ) @ V1f1 ) @ ( inj__ty_2Enum_2Enum @ V0n ) )
% 5.64/5.86 = ( ap @ ( ap @ ( c_2Elist_2EGENLIST @ A_27a ) @ V2f2 ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(ax_thm_2EindexedLists_2EFOLDRi__def,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del] :
% 5.64/5.86 ( ! [V0f: $i] :
% 5.64/5.86 ( ( mem @ V0f @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27b @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.64/5.86 => ! [V1a: $i] :
% 5.64/5.86 ( ( mem @ V1a @ A_27a )
% 5.64/5.86 => ( ( ap @ ( ap @ ( ap @ ( c_2EindexedLists_2EFOLDRi @ A_27a @ A_27b ) @ V0f ) @ V1a ) @ ( c_2Elist_2ENIL @ A_27b ) )
% 5.64/5.86 = V1a ) ) )
% 5.64/5.86 & ! [V2f: $i] :
% 5.64/5.86 ( ( mem @ V2f @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27b @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.64/5.86 => ! [V3a: $i] :
% 5.64/5.86 ( ( mem @ V3a @ A_27a )
% 5.64/5.86 => ! [V4h: $i] :
% 5.64/5.86 ( ( mem @ V4h @ A_27b )
% 5.64/5.86 => ! [V5t: $i] :
% 5.64/5.86 ( ( mem @ V5t @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.64/5.86 => ( ( ap @ ( ap @ ( ap @ ( c_2EindexedLists_2EFOLDRi @ A_27a @ A_27b ) @ V2f ) @ V3a ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27b ) @ V4h ) @ V5t ) )
% 5.64/5.86 = ( ap @ ( ap @ ( ap @ V2f @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ V4h ) @ ( ap @ ( ap @ ( ap @ ( c_2EindexedLists_2EFOLDRi @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ty_2Enum_2Enum @ ( arr @ A_27b @ ( arr @ A_27a @ A_27a ) ) @ ty_2Enum_2Enum ) @ V2f ) @ c_2Enum_2ESUC ) ) @ V3a ) @ V5t ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EindexedLists_2EFOLDR__MAPi,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.64/5.86 ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27b @ A_27b ) ) )
% 5.64/5.86 => ! [V1g: $i] :
% 5.64/5.86 ( ( mem @ V1g @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27c @ A_27a ) ) )
% 5.64/5.86 => ! [V2a: $i] :
% 5.64/5.86 ( ( mem @ V2a @ A_27b )
% 5.64/5.86 => ! [V3l: $i] :
% 5.64/5.86 ( ( mem @ V3l @ ( ty_2Elist_2Elist @ A_27c ) )
% 5.64/5.86 => ( ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDR @ A_27a @ A_27b ) @ V0f ) @ V2a ) @ ( ap @ ( ap @ ( c_2EindexedLists_2EMAPi @ A_27a @ A_27c ) @ V1g ) @ V3l ) )
% 5.64/5.86 = ( ap @ ( ap @ ( ap @ ( c_2EindexedLists_2EFOLDRi @ A_27b @ A_27c ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ty_2Enum_2Enum @ ( arr @ A_27c @ ( arr @ A_27b @ A_27b ) ) @ ( arr @ A_27c @ A_27a ) ) @ ( ap @ ( c_2Ecombin_2Eo @ A_27c @ ( arr @ A_27b @ A_27b ) @ A_27a ) @ V0f ) ) @ V1g ) ) @ V2a ) @ V3l ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EindexedLists_2EFOLDRi__APPEND,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,V0a: $i] :
% 5.64/5.86 ( ( mem @ V0a @ A_27b )
% 5.64/5.86 => ! [V1l1: $i] :
% 5.64/5.86 ( ( mem @ V1l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.86 => ! [V2l2: $i] :
% 5.64/5.86 ( ( mem @ V2l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.86 => ! [V3f: $i] :
% 5.64/5.86 ( ( mem @ V3f @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ ( arr @ A_27b @ A_27b ) ) ) )
% 5.64/5.86 => ( ( ap @ ( ap @ ( ap @ ( c_2EindexedLists_2EFOLDRi @ A_27b @ A_27a ) @ V3f ) @ V0a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V1l1 ) @ V2l2 ) )
% 5.64/5.86 = ( ap @ ( ap @ ( ap @ ( c_2EindexedLists_2EFOLDRi @ A_27b @ A_27a ) @ V3f ) @ ( ap @ ( ap @ ( ap @ ( c_2EindexedLists_2EFOLDRi @ A_27b @ A_27a ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ty_2Enum_2Enum @ ( arr @ A_27a @ ( arr @ A_27b @ A_27b ) ) @ ty_2Enum_2Enum ) @ V3f ) @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l1 ) ) ) ) @ V0a ) @ V2l2 ) ) @ V1l1 ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EindexedLists_2EFOLDRi__CONG,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,V0l1: $i] :
% 5.64/5.86 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.86 => ! [V1l2: $i] :
% 5.64/5.86 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.86 => ! [V2f1: $i] :
% 5.64/5.86 ( ( mem @ V2f1 @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ ( arr @ A_27b @ A_27b ) ) ) )
% 5.64/5.86 => ! [V3f2: $i] :
% 5.64/5.86 ( ( mem @ V3f2 @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ ( arr @ A_27b @ A_27b ) ) ) )
% 5.64/5.86 => ! [V4a1: $i] :
% 5.64/5.86 ( ( mem @ V4a1 @ A_27b )
% 5.64/5.86 => ! [V5a2: $i] :
% 5.64/5.86 ( ( mem @ V5a2 @ A_27b )
% 5.64/5.86 => ( ( V0l1 = V1l2 )
% 5.64/5.86 => ( ! [V6n: tp__ty_2Enum_2Enum,V7e: $i] :
% 5.64/5.86 ( ( mem @ V7e @ A_27a )
% 5.64/5.86 => ! [V8a: $i] :
% 5.64/5.86 ( ( mem @ V8a @ A_27b )
% 5.64/5.86 => ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V6n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l2 ) ) )
% 5.64/5.86 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V7e ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V1l2 ) ) )
% 5.64/5.86 => ( ( ap @ ( ap @ ( ap @ V2f1 @ ( inj__ty_2Enum_2Enum @ V6n ) ) @ V7e ) @ V8a )
% 5.64/5.86 = ( ap @ ( ap @ ( ap @ V3f2 @ ( inj__ty_2Enum_2Enum @ V6n ) ) @ V7e ) @ V8a ) ) ) ) ) )
% 5.64/5.86 => ( ( V4a1 = V5a2 )
% 5.64/5.86 => ( ( ap @ ( ap @ ( ap @ ( c_2EindexedLists_2EFOLDRi @ A_27b @ A_27a ) @ V2f1 ) @ V4a1 ) @ V0l1 )
% 5.64/5.86 = ( ap @ ( ap @ ( ap @ ( c_2EindexedLists_2EFOLDRi @ A_27b @ A_27a ) @ V3f2 ) @ V5a2 ) @ V1l2 ) ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EindexedLists_2EFOLDRi__CONG_27,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,V0l1: $i] :
% 5.64/5.86 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.86 => ! [V1l2: $i] :
% 5.64/5.86 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.86 => ! [V2f1: $i] :
% 5.64/5.86 ( ( mem @ V2f1 @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ ( arr @ A_27b @ A_27b ) ) ) )
% 5.64/5.86 => ! [V3f2: $i] :
% 5.64/5.86 ( ( mem @ V3f2 @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ ( arr @ A_27b @ A_27b ) ) ) )
% 5.64/5.86 => ! [V4a1: $i] :
% 5.64/5.86 ( ( mem @ V4a1 @ A_27b )
% 5.64/5.86 => ! [V5a2: $i] :
% 5.64/5.86 ( ( mem @ V5a2 @ A_27b )
% 5.64/5.86 => ( ( ( V0l1 = V1l2 )
% 5.64/5.86 & ! [V6n: tp__ty_2Enum_2Enum,V7a: $i] :
% 5.64/5.86 ( ( mem @ V7a @ A_27b )
% 5.64/5.86 => ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V6n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l2 ) ) )
% 5.64/5.86 => ( ( ap @ ( ap @ ( ap @ V2f1 @ ( inj__ty_2Enum_2Enum @ V6n ) ) @ ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V6n ) ) @ V1l2 ) ) @ V7a )
% 5.64/5.86 = ( ap @ ( ap @ ( ap @ V3f2 @ ( inj__ty_2Enum_2Enum @ V6n ) ) @ ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V6n ) ) @ V1l2 ) ) @ V7a ) ) ) )
% 5.64/5.86 & ( V4a1 = V5a2 ) )
% 5.64/5.86 => ( ( ap @ ( ap @ ( ap @ ( c_2EindexedLists_2EFOLDRi @ A_27b @ A_27a ) @ V2f1 ) @ V4a1 ) @ V0l1 )
% 5.64/5.86 = ( ap @ ( ap @ ( ap @ ( c_2EindexedLists_2EFOLDRi @ A_27b @ A_27a ) @ V3f2 ) @ V5a2 ) @ V1l2 ) ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(ax_thm_2EindexedLists_2Efindi__def,axiom,
% 5.64/5.86 ! [A_27a: del] :
% 5.64/5.86 ( ! [V0x: $i] :
% 5.64/5.86 ( ( mem @ V0x @ A_27a )
% 5.64/5.86 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( c_2EindexedLists_2Efindi @ A_27a ) @ V0x ) @ ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.64/5.86 = fo__c_2Enum_2E0 ) )
% 5.64/5.86 & ! [V1x: $i] :
% 5.64/5.86 ( ( mem @ V1x @ A_27a )
% 5.64/5.86 => ! [V2h: $i] :
% 5.64/5.86 ( ( mem @ V2h @ A_27a )
% 5.64/5.86 => ! [V3t: $i] :
% 5.64/5.86 ( ( mem @ V3t @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.86 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( c_2EindexedLists_2Efindi @ A_27a ) @ V1x ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2h ) @ V3t ) ) )
% 5.64/5.86 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V1x ) @ V2h ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( ap @ ( c_2EindexedLists_2Efindi @ A_27a ) @ V1x ) @ V3t ) ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EindexedLists_2EMEM__findi,axiom,
% 5.64/5.86 ! [A_27a: del,V0x: $i] :
% 5.64/5.86 ( ( mem @ V0x @ A_27a )
% 5.64/5.86 => ! [V1l: $i] :
% 5.64/5.86 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.86 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V1l ) ) )
% 5.64/5.86 => ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ ( ap @ ( c_2EindexedLists_2Efindi @ A_27a ) @ V0x ) @ V1l ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EindexedLists_2Efindi__EL,axiom,
% 5.64/5.86 ! [A_27a: del,V0l: $i] :
% 5.64/5.86 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.86 => ! [V1n: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.64/5.86 & ( p @ ( ap @ ( c_2Elist_2EALL__DISTINCT @ A_27a ) @ V0l ) ) )
% 5.64/5.86 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( c_2EindexedLists_2Efindi @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ V0l ) ) @ V0l ) )
% 5.64/5.86 = V1n ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EindexedLists_2EEL__findi,axiom,
% 5.64/5.86 ! [A_27a: del,V0l: $i] :
% 5.64/5.86 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.86 => ! [V1x: $i] :
% 5.64/5.86 ( ( mem @ V1x @ A_27a )
% 5.64/5.86 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V1x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V0l ) ) )
% 5.64/5.86 => ( ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( ap @ ( ap @ ( c_2EindexedLists_2Efindi @ A_27a ) @ V1x ) @ V0l ) ) @ V0l )
% 5.64/5.86 = V1x ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(ax_thm_2EindexedLists_2EdelN__def,axiom,
% 5.64/5.86 ! [A_27a: del] :
% 5.64/5.86 ( ! [V0i: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( ap @ ( ap @ ( c_2EindexedLists_2EdelN @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0i ) ) @ ( c_2Elist_2ENIL @ A_27a ) )
% 5.64/5.86 = ( c_2Elist_2ENIL @ A_27a ) )
% 5.64/5.86 & ! [V1i: tp__ty_2Enum_2Enum,V2h: $i] :
% 5.64/5.86 ( ( mem @ V2h @ A_27a )
% 5.64/5.86 => ! [V3t: $i] :
% 5.64/5.86 ( ( mem @ V3t @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.86 => ( ( ap @ ( ap @ ( c_2EindexedLists_2EdelN @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1i ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2h ) @ V3t ) )
% 5.64/5.86 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V1i ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) @ V3t ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2h ) @ ( ap @ ( ap @ ( c_2EindexedLists_2EdelN @ A_27a ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V1i ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ V3t ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EindexedLists_2EdelN__shortens,axiom,
% 5.64/5.86 ! [A_27a: del,V0l: $i] :
% 5.64/5.86 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.86 => ! [V1i: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1i ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) )
% 5.64/5.86 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ ( ap @ ( ap @ ( c_2EindexedLists_2EdelN @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1i ) ) @ V0l ) ) )
% 5.64/5.86 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EindexedLists_2EEL__delN__BEFORE,axiom,
% 5.64/5.86 ! [A_27a: del,V0l: $i] :
% 5.64/5.86 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.86 => ! [V1i: tp__ty_2Enum_2Enum,V2j: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1i ) ) @ ( inj__ty_2Enum_2Enum @ V2j ) ) )
% 5.64/5.86 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V2j ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) ) )
% 5.64/5.86 => ( ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1i ) ) @ ( ap @ ( ap @ ( c_2EindexedLists_2EdelN @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V2j ) ) @ V0l ) )
% 5.64/5.86 = ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1i ) ) @ V0l ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EindexedLists_2EEL__delN__AFTER,axiom,
% 5.64/5.86 ! [A_27a: del,V0l: $i] :
% 5.64/5.86 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.86 => ! [V1i: tp__ty_2Enum_2Enum,V2j: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V2j ) ) @ ( inj__ty_2Enum_2Enum @ V1i ) ) )
% 5.64/5.86 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1i ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) ) )
% 5.64/5.86 => ( ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1i ) ) @ ( ap @ ( ap @ ( c_2EindexedLists_2EdelN @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V2j ) ) @ V0l ) )
% 5.64/5.86 = ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1i ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ V0l ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EindexedLists_2EfupdLast__ind,axiom,
% 5.64/5.86 ! [A_27a: del,V0P: $i] :
% 5.64/5.86 ( ( mem @ V0P @ ( arr @ ( arr @ A_27a @ A_27a ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ bool ) ) )
% 5.64/5.86 => ( ( ! [V1f: $i] :
% 5.64/5.86 ( ( mem @ V1f @ ( arr @ A_27a @ A_27a ) )
% 5.64/5.86 => ( p @ ( ap @ ( ap @ V0P @ V1f ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) )
% 5.64/5.86 & ! [V2f: $i] :
% 5.64/5.86 ( ( mem @ V2f @ ( arr @ A_27a @ A_27a ) )
% 5.64/5.86 => ! [V3h: $i] :
% 5.64/5.86 ( ( mem @ V3h @ A_27a )
% 5.64/5.86 => ( p @ ( ap @ ( ap @ V0P @ V2f ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3h ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) )
% 5.64/5.86 & ! [V4f: $i] :
% 5.64/5.86 ( ( mem @ V4f @ ( arr @ A_27a @ A_27a ) )
% 5.64/5.86 => ! [V5h: $i] :
% 5.64/5.86 ( ( mem @ V5h @ A_27a )
% 5.64/5.86 => ! [V6v4: $i] :
% 5.64/5.86 ( ( mem @ V6v4 @ A_27a )
% 5.64/5.86 => ! [V7v5: $i] :
% 5.64/5.86 ( ( mem @ V7v5 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.86 => ( ( p @ ( ap @ ( ap @ V0P @ V4f ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V6v4 ) @ V7v5 ) ) )
% 5.64/5.86 => ( p @ ( ap @ ( ap @ V0P @ V4f ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V5h ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V6v4 ) @ V7v5 ) ) ) ) ) ) ) ) ) )
% 5.64/5.86 => ! [V8v: $i] :
% 5.64/5.86 ( ( mem @ V8v @ ( arr @ A_27a @ A_27a ) )
% 5.64/5.86 => ! [V9v1: $i] :
% 5.64/5.86 ( ( mem @ V9v1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.86 => ( p @ ( ap @ ( ap @ V0P @ V8v ) @ V9v1 ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EindexedLists_2EfupdLast__def,axiom,
% 5.64/5.86 ! [A_27a: del] :
% 5.64/5.86 ( ! [V0f: $i] :
% 5.64/5.86 ( ( mem @ V0f @ ( arr @ A_27a @ A_27a ) )
% 5.64/5.86 => ( ( ap @ ( ap @ ( c_2EindexedLists_2EfupdLast @ A_27a ) @ V0f ) @ ( c_2Elist_2ENIL @ A_27a ) )
% 5.64/5.86 = ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.64/5.86 & ! [V1h: $i] :
% 5.64/5.86 ( ( mem @ V1h @ A_27a )
% 5.64/5.86 => ! [V2f: $i] :
% 5.64/5.86 ( ( mem @ V2f @ ( arr @ A_27a @ A_27a ) )
% 5.64/5.86 => ( ( ap @ ( ap @ ( c_2EindexedLists_2EfupdLast @ A_27a ) @ V2f ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1h ) @ ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.64/5.86 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ V2f @ V1h ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) )
% 5.64/5.86 & ! [V3v5: $i] :
% 5.64/5.86 ( ( mem @ V3v5 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.86 => ! [V4v4: $i] :
% 5.64/5.86 ( ( mem @ V4v4 @ A_27a )
% 5.64/5.86 => ! [V5h: $i] :
% 5.64/5.86 ( ( mem @ V5h @ A_27a )
% 5.64/5.86 => ! [V6f: $i] :
% 5.64/5.86 ( ( mem @ V6f @ ( arr @ A_27a @ A_27a ) )
% 5.64/5.86 => ( ( ap @ ( ap @ ( c_2EindexedLists_2EfupdLast @ A_27a ) @ V6f ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V5h ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4v4 ) @ V3v5 ) ) )
% 5.64/5.86 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V5h ) @ ( ap @ ( ap @ ( c_2EindexedLists_2EfupdLast @ A_27a ) @ V6f ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4v4 ) @ V3v5 ) ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EindexedLists_2EfupdLast__EQ__NIL,axiom,
% 5.64/5.86 ! [A_27a: del,V0f: $i] :
% 5.64/5.86 ( ( mem @ V0f @ ( arr @ A_27a @ A_27a ) )
% 5.64/5.86 => ! [V1x: $i] :
% 5.64/5.86 ( ( mem @ V1x @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.86 => ( ( ( ( ap @ ( ap @ ( c_2EindexedLists_2EfupdLast @ A_27a ) @ V0f ) @ V1x )
% 5.64/5.86 = ( c_2Elist_2ENIL @ A_27a ) )
% 5.64/5.86 <=> ( V1x
% 5.64/5.86 = ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.64/5.86 & ( ( ( c_2Elist_2ENIL @ A_27a )
% 5.64/5.86 = ( ap @ ( ap @ ( c_2EindexedLists_2EfupdLast @ A_27a ) @ V0f ) @ V1x ) )
% 5.64/5.86 <=> ( V1x
% 5.64/5.86 = ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EindexedLists_2EfupdLast__FRONT__LAST,axiom,
% 5.64/5.86 ! [A_27a: del,V0f: $i] :
% 5.64/5.86 ( ( mem @ V0f @ ( arr @ A_27a @ A_27a ) )
% 5.64/5.86 => ! [V1l: $i] :
% 5.64/5.86 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.86 => ( ( ap @ ( ap @ ( c_2EindexedLists_2EfupdLast @ A_27a ) @ V0f ) @ V1l )
% 5.64/5.86 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Elist_2Elist @ A_27a ) ) @ V1l ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ ( ap @ ( c_2Elist_2EFRONT @ A_27a ) @ V1l ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ V0f @ ( ap @ ( c_2Elist_2ELAST @ A_27a ) @ V1l ) ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(ax_thm_2EindexedLists_2ELIST__RELi__def,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del] :
% 5.64/5.86 ( ( c_2EindexedLists_2ELIST__RELi @ A_27a @ A_27b )
% 5.64/5.86 = ( lam @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.64/5.86 @ ^ [V0R: $i] :
% 5.64/5.86 ( lam @ ( ty_2Elist_2Elist @ A_27a )
% 5.64/5.86 @ ^ [V1a0: $i] :
% 5.64/5.86 ( lam @ ( ty_2Elist_2Elist @ A_27b )
% 5.64/5.86 @ ^ [V2a1: $i] :
% 5.64/5.86 ( ap @ ( c_2Ebool_2E_21 @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ ( ty_2Elist_2Elist @ A_27b ) @ bool ) ) )
% 5.64/5.86 @ ( lam @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ ( ty_2Elist_2Elist @ A_27b ) @ bool ) )
% 5.64/5.86 @ ^ [V3LIST__RELi_27: $i] :
% 5.64/5.86 ( ap
% 5.64/5.86 @ ( ap @ c_2Emin_2E_3D_3D_3E
% 5.64/5.86 @ ( ap @ ( c_2Ebool_2E_21 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.86 @ ( lam @ ( ty_2Elist_2Elist @ A_27a )
% 5.64/5.86 @ ^ [V4a0: $i] :
% 5.64/5.86 ( ap @ ( c_2Ebool_2E_21 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.64/5.86 @ ( lam @ ( ty_2Elist_2Elist @ A_27b )
% 5.64/5.86 @ ^ [V5a1: $i] :
% 5.64/5.86 ( ap
% 5.64/5.86 @ ( ap @ c_2Emin_2E_3D_3D_3E
% 5.64/5.86 @ ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Elist_2Elist @ A_27a ) ) @ V4a0 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Elist_2Elist @ A_27b ) ) @ V5a1 ) @ ( c_2Elist_2ENIL @ A_27b ) ) ) )
% 5.64/5.86 @ ( ap @ ( c_2Ebool_2E_3F @ A_27a )
% 5.64/5.86 @ ( lam @ A_27a
% 5.64/5.86 @ ^ [V6h1: $i] :
% 5.64/5.86 ( ap @ ( c_2Ebool_2E_3F @ A_27b )
% 5.64/5.86 @ ( lam @ A_27b
% 5.64/5.86 @ ^ [V7h2: $i] :
% 5.64/5.86 ( ap @ ( c_2Ebool_2E_3F @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.86 @ ( lam @ ( ty_2Elist_2Elist @ A_27a )
% 5.64/5.86 @ ^ [V8l1: $i] :
% 5.64/5.86 ( ap @ ( c_2Ebool_2E_3F @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.64/5.86 @ ( lam @ ( ty_2Elist_2Elist @ A_27b )
% 5.64/5.86 @ ^ [V9l2: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Elist_2Elist @ A_27a ) ) @ V4a0 ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V8l1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V6h1 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Elist_2Elist @ A_27b ) ) @ V5a1 ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27b ) @ V9l2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27b ) @ V7h2 ) @ ( c_2Elist_2ENIL @ A_27b ) ) ) ) ) @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( ap @ V0R @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V8l1 ) ) @ V6h1 ) @ V7h2 ) ) @ ( ap @ ( ap @ V3LIST__RELi_27 @ V8l1 ) @ V9l2 ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.64/5.86 @ ( ap @ ( ap @ V3LIST__RELi_27 @ V4a0 ) @ V5a1 ) ) ) ) ) ) )
% 5.64/5.86 @ ( ap @ ( ap @ V3LIST__RELi_27 @ V1a0 ) @ V2a1 ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EindexedLists_2ELIST__RELi__rules,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.64/5.86 ( ( mem @ V0R @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) ) )
% 5.64/5.86 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2EindexedLists_2ELIST__RELi @ A_27a @ A_27b ) @ V0R ) @ ( c_2Elist_2ENIL @ A_27a ) ) @ ( c_2Elist_2ENIL @ A_27b ) ) )
% 5.64/5.86 & ! [V1h1: $i] :
% 5.64/5.86 ( ( mem @ V1h1 @ A_27a )
% 5.64/5.86 => ! [V2h2: $i] :
% 5.64/5.86 ( ( mem @ V2h2 @ A_27b )
% 5.64/5.86 => ! [V3l1: $i] :
% 5.64/5.86 ( ( mem @ V3l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.86 => ! [V4l2: $i] :
% 5.64/5.86 ( ( mem @ V4l2 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.64/5.86 => ( ( ( p @ ( ap @ ( ap @ ( ap @ V0R @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V3l1 ) ) @ V1h1 ) @ V2h2 ) )
% 5.64/5.86 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2EindexedLists_2ELIST__RELi @ A_27a @ A_27b ) @ V0R ) @ V3l1 ) @ V4l2 ) ) )
% 5.64/5.86 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2EindexedLists_2ELIST__RELi @ A_27a @ A_27b ) @ V0R ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V3l1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1h1 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27b ) @ V4l2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27b ) @ V2h2 ) @ ( c_2Elist_2ENIL @ A_27b ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EindexedLists_2ELIST__RELi__ind,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.64/5.86 ( ( mem @ V0R @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) ) )
% 5.64/5.86 => ! [V1LIST__RELi_27: $i] :
% 5.64/5.86 ( ( mem @ V1LIST__RELi_27 @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ ( ty_2Elist_2Elist @ A_27b ) @ bool ) ) )
% 5.64/5.86 => ( ( ( p @ ( ap @ ( ap @ V1LIST__RELi_27 @ ( c_2Elist_2ENIL @ A_27a ) ) @ ( c_2Elist_2ENIL @ A_27b ) ) )
% 5.64/5.86 & ! [V2h1: $i] :
% 5.64/5.86 ( ( mem @ V2h1 @ A_27a )
% 5.64/5.86 => ! [V3h2: $i] :
% 5.64/5.86 ( ( mem @ V3h2 @ A_27b )
% 5.64/5.86 => ! [V4l1: $i] :
% 5.64/5.86 ( ( mem @ V4l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.86 => ! [V5l2: $i] :
% 5.64/5.86 ( ( mem @ V5l2 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.64/5.86 => ( ( ( p @ ( ap @ ( ap @ ( ap @ V0R @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4l1 ) ) @ V2h1 ) @ V3h2 ) )
% 5.64/5.86 & ( p @ ( ap @ ( ap @ V1LIST__RELi_27 @ V4l1 ) @ V5l2 ) ) )
% 5.64/5.86 => ( p @ ( ap @ ( ap @ V1LIST__RELi_27 @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V4l1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2h1 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27b ) @ V5l2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27b ) @ V3h2 ) @ ( c_2Elist_2ENIL @ A_27b ) ) ) ) ) ) ) ) ) ) )
% 5.64/5.86 => ! [V6a0: $i] :
% 5.64/5.86 ( ( mem @ V6a0 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.86 => ! [V7a1: $i] :
% 5.64/5.86 ( ( mem @ V7a1 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.64/5.86 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2EindexedLists_2ELIST__RELi @ A_27a @ A_27b ) @ V0R ) @ V6a0 ) @ V7a1 ) )
% 5.64/5.86 => ( p @ ( ap @ ( ap @ V1LIST__RELi_27 @ V6a0 ) @ V7a1 ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EindexedLists_2ELIST__RELi__strongind,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.64/5.86 ( ( mem @ V0R @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) ) )
% 5.64/5.86 => ! [V1LIST__RELi_27: $i] :
% 5.64/5.86 ( ( mem @ V1LIST__RELi_27 @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ ( ty_2Elist_2Elist @ A_27b ) @ bool ) ) )
% 5.64/5.86 => ( ( ( p @ ( ap @ ( ap @ V1LIST__RELi_27 @ ( c_2Elist_2ENIL @ A_27a ) ) @ ( c_2Elist_2ENIL @ A_27b ) ) )
% 5.64/5.86 & ! [V2h1: $i] :
% 5.64/5.86 ( ( mem @ V2h1 @ A_27a )
% 5.64/5.86 => ! [V3h2: $i] :
% 5.64/5.86 ( ( mem @ V3h2 @ A_27b )
% 5.64/5.86 => ! [V4l1: $i] :
% 5.64/5.86 ( ( mem @ V4l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.86 => ! [V5l2: $i] :
% 5.64/5.86 ( ( mem @ V5l2 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.64/5.86 => ( ( ( p @ ( ap @ ( ap @ ( ap @ V0R @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4l1 ) ) @ V2h1 ) @ V3h2 ) )
% 5.64/5.86 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2EindexedLists_2ELIST__RELi @ A_27a @ A_27b ) @ V0R ) @ V4l1 ) @ V5l2 ) )
% 5.64/5.86 & ( p @ ( ap @ ( ap @ V1LIST__RELi_27 @ V4l1 ) @ V5l2 ) ) )
% 5.64/5.86 => ( p @ ( ap @ ( ap @ V1LIST__RELi_27 @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V4l1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2h1 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27b ) @ V5l2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27b ) @ V3h2 ) @ ( c_2Elist_2ENIL @ A_27b ) ) ) ) ) ) ) ) ) ) )
% 5.64/5.86 => ! [V6a0: $i] :
% 5.64/5.86 ( ( mem @ V6a0 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.86 => ! [V7a1: $i] :
% 5.64/5.86 ( ( mem @ V7a1 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.64/5.86 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2EindexedLists_2ELIST__RELi @ A_27a @ A_27b ) @ V0R ) @ V6a0 ) @ V7a1 ) )
% 5.64/5.86 => ( p @ ( ap @ ( ap @ V1LIST__RELi_27 @ V6a0 ) @ V7a1 ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EindexedLists_2ELIST__RELi__cases,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.64/5.86 ( ( mem @ V0R @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) ) )
% 5.64/5.86 => ! [V1a0: $i] :
% 5.64/5.86 ( ( mem @ V1a0 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.86 => ! [V2a1: $i] :
% 5.64/5.86 ( ( mem @ V2a1 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.64/5.86 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2EindexedLists_2ELIST__RELi @ A_27a @ A_27b ) @ V0R ) @ V1a0 ) @ V2a1 ) )
% 5.64/5.86 <=> ( ( ( V1a0
% 5.64/5.86 = ( c_2Elist_2ENIL @ A_27a ) )
% 5.64/5.86 & ( V2a1
% 5.64/5.86 = ( c_2Elist_2ENIL @ A_27b ) ) )
% 5.64/5.86 | ? [V3h1: $i] :
% 5.64/5.86 ( ( mem @ V3h1 @ A_27a )
% 5.64/5.86 & ? [V4h2: $i] :
% 5.64/5.86 ( ( mem @ V4h2 @ A_27b )
% 5.64/5.86 & ? [V5l1: $i] :
% 5.64/5.86 ( ( mem @ V5l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.86 & ? [V6l2: $i] :
% 5.64/5.86 ( ( mem @ V6l2 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.64/5.86 & ( V1a0
% 5.64/5.86 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V5l1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3h1 ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) )
% 5.64/5.86 & ( V2a1
% 5.64/5.86 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27b ) @ V6l2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27b ) @ V4h2 ) @ ( c_2Elist_2ENIL @ A_27b ) ) ) )
% 5.64/5.86 & ( p @ ( ap @ ( ap @ ( ap @ V0R @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V5l1 ) ) @ V3h1 ) @ V4h2 ) )
% 5.64/5.86 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2EindexedLists_2ELIST__RELi @ A_27a @ A_27b ) @ V0R ) @ V5l1 ) @ V6l2 ) ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EindexedLists_2ELIST__RELi__LENGTH,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.64/5.86 ( ( mem @ V0R @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) ) )
% 5.64/5.86 => ! [V1l1: $i] :
% 5.64/5.86 ( ( mem @ V1l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.86 => ! [V2l2: $i] :
% 5.64/5.86 ( ( mem @ V2l2 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.64/5.86 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2EindexedLists_2ELIST__RELi @ A_27a @ A_27b ) @ V0R ) @ V1l1 ) @ V2l2 ) )
% 5.64/5.86 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l1 ) )
% 5.64/5.86 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27b ) @ V2l2 ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EindexedLists_2ELIST__RELi__EL__EQN,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.64/5.86 ( ( mem @ V0R @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) ) )
% 5.64/5.86 => ! [V1l1: $i] :
% 5.64/5.86 ( ( mem @ V1l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.86 => ! [V2l2: $i] :
% 5.64/5.86 ( ( mem @ V2l2 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.64/5.86 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2EindexedLists_2ELIST__RELi @ A_27a @ A_27b ) @ V0R ) @ V1l1 ) @ V2l2 ) )
% 5.64/5.86 <=> ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l1 ) )
% 5.64/5.86 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27b ) @ V2l2 ) ) )
% 5.64/5.86 & ! [V3i: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V3i ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l1 ) ) )
% 5.64/5.86 => ( p @ ( ap @ ( ap @ ( ap @ V0R @ ( inj__ty_2Enum_2Enum @ V3i ) ) @ ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V3i ) ) @ V1l1 ) ) @ ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V3i ) ) @ V2l2 ) ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EindexedLists_2ELIST__RELi__thm,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.64/5.86 ( ( mem @ V0R @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) ) )
% 5.64/5.86 => ! [V1x: $i] :
% 5.64/5.86 ( ( mem @ V1x @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.64/5.86 => ! [V2h: $i] :
% 5.64/5.86 ( ( mem @ V2h @ A_27a )
% 5.64/5.86 => ! [V3t: $i] :
% 5.64/5.86 ( ( mem @ V3t @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.86 => ! [V4l: $i] :
% 5.64/5.86 ( ( mem @ V4l @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.64/5.86 => ( ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2EindexedLists_2ELIST__RELi @ A_27a @ A_27b ) @ V0R ) @ ( c_2Elist_2ENIL @ A_27a ) ) @ V1x ) )
% 5.64/5.86 <=> ( V1x
% 5.64/5.86 = ( c_2Elist_2ENIL @ A_27b ) ) )
% 5.64/5.86 & ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2EindexedLists_2ELIST__RELi @ A_27a @ A_27b ) @ V0R ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2h ) @ V3t ) ) @ V4l ) )
% 5.64/5.86 <=> ? [V5h_27: $i] :
% 5.64/5.86 ( ( mem @ V5h_27 @ A_27b )
% 5.64/5.86 & ? [V6t_27: $i] :
% 5.64/5.86 ( ( mem @ V6t_27 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.64/5.86 & ( V4l
% 5.64/5.86 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27b ) @ V5h_27 ) @ V6t_27 ) )
% 5.64/5.86 & ( p @ ( ap @ ( ap @ ( ap @ V0R @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ V2h ) @ V5h_27 ) )
% 5.64/5.86 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2EindexedLists_2ELIST__RELi @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ty_2Enum_2Enum @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) @ ty_2Enum_2Enum ) @ V0R ) @ c_2Enum_2ESUC ) ) @ V3t ) @ V6t_27 ) ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EindexedLists_2ELIST__RELi__APPEND__I,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.64/5.86 ( ( mem @ V0R @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) ) )
% 5.64/5.86 => ! [V1l1: $i] :
% 5.64/5.86 ( ( mem @ V1l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.86 => ! [V2l2: $i] :
% 5.64/5.86 ( ( mem @ V2l2 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.64/5.86 => ! [V3m1: $i] :
% 5.64/5.86 ( ( mem @ V3m1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.86 => ! [V4m2: $i] :
% 5.64/5.86 ( ( mem @ V4m2 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.64/5.86 => ( ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2EindexedLists_2ELIST__RELi @ A_27a @ A_27b ) @ V0R ) @ V1l1 ) @ V2l2 ) )
% 5.64/5.86 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2EindexedLists_2ELIST__RELi @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ty_2Enum_2Enum @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) @ ty_2Enum_2Enum ) @ V0R ) @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l1 ) ) ) ) @ V3m1 ) @ V4m2 ) ) )
% 5.64/5.86 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2EindexedLists_2ELIST__RELi @ A_27a @ A_27b ) @ V0R ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V1l1 ) @ V3m1 ) ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27b ) @ V2l2 ) @ V4m2 ) ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EindexedLists_2EMAP2i__ind,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,A_27c: del,V0P: $i] :
% 5.64/5.86 ( ( mem @ V0P @ ( arr @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27b @ ( arr @ A_27c @ A_27a ) ) ) @ ( arr @ ( ty_2Elist_2Elist @ A_27b ) @ ( arr @ ( ty_2Elist_2Elist @ A_27c ) @ bool ) ) ) )
% 5.64/5.86 => ( ( ! [V1f: $i] :
% 5.64/5.86 ( ( mem @ V1f @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27b @ ( arr @ A_27c @ A_27a ) ) ) )
% 5.64/5.86 => ! [V2v0: $i] :
% 5.64/5.86 ( ( mem @ V2v0 @ ( ty_2Elist_2Elist @ A_27c ) )
% 5.64/5.86 => ( p @ ( ap @ ( ap @ ( ap @ V0P @ V1f ) @ ( c_2Elist_2ENIL @ A_27b ) ) @ V2v0 ) ) ) )
% 5.64/5.86 & ! [V3f: $i] :
% 5.64/5.86 ( ( mem @ V3f @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27b @ ( arr @ A_27c @ A_27a ) ) ) )
% 5.64/5.86 => ! [V4v5: $i] :
% 5.64/5.86 ( ( mem @ V4v5 @ A_27b )
% 5.64/5.86 => ! [V5v6: $i] :
% 5.64/5.86 ( ( mem @ V5v6 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.64/5.86 => ( p @ ( ap @ ( ap @ ( ap @ V0P @ V3f ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27b ) @ V4v5 ) @ V5v6 ) ) @ ( c_2Elist_2ENIL @ A_27c ) ) ) ) ) )
% 5.64/5.86 & ! [V6f: $i] :
% 5.64/5.86 ( ( mem @ V6f @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27b @ ( arr @ A_27c @ A_27a ) ) ) )
% 5.64/5.86 => ! [V7h1: $i] :
% 5.64/5.86 ( ( mem @ V7h1 @ A_27b )
% 5.64/5.86 => ! [V8t1: $i] :
% 5.64/5.86 ( ( mem @ V8t1 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.64/5.86 => ! [V9h2: $i] :
% 5.64/5.86 ( ( mem @ V9h2 @ A_27c )
% 5.64/5.86 => ! [V10t2: $i] :
% 5.64/5.86 ( ( mem @ V10t2 @ ( ty_2Elist_2Elist @ A_27c ) )
% 5.64/5.86 => ( ( p @ ( ap @ ( ap @ ( ap @ V0P @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ty_2Enum_2Enum @ ( arr @ A_27b @ ( arr @ A_27c @ A_27a ) ) @ ty_2Enum_2Enum ) @ V6f ) @ c_2Enum_2ESUC ) ) @ V8t1 ) @ V10t2 ) )
% 5.64/5.86 => ( p @ ( ap @ ( ap @ ( ap @ V0P @ V6f ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27b ) @ V7h1 ) @ V8t1 ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27c ) @ V9h2 ) @ V10t2 ) ) ) ) ) ) ) ) ) )
% 5.64/5.86 => ! [V11v: $i] :
% 5.64/5.86 ( ( mem @ V11v @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27b @ ( arr @ A_27c @ A_27a ) ) ) )
% 5.64/5.86 => ! [V12v1: $i] :
% 5.64/5.86 ( ( mem @ V12v1 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.64/5.86 => ! [V13v2: $i] :
% 5.64/5.86 ( ( mem @ V13v2 @ ( ty_2Elist_2Elist @ A_27c ) )
% 5.64/5.86 => ( p @ ( ap @ ( ap @ ( ap @ V0P @ V11v ) @ V12v1 ) @ V13v2 ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EindexedLists_2EMAP2i__def,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,A_27c: del] :
% 5.64/5.86 ( ! [V0v0: $i] :
% 5.64/5.86 ( ( mem @ V0v0 @ ( ty_2Elist_2Elist @ A_27c ) )
% 5.64/5.86 => ! [V1f: $i] :
% 5.64/5.86 ( ( mem @ V1f @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27b @ ( arr @ A_27c @ A_27a ) ) ) )
% 5.64/5.86 => ( ( ap @ ( ap @ ( ap @ ( c_2EindexedLists_2EMAP2i @ A_27a @ A_27b @ A_27c ) @ V1f ) @ ( c_2Elist_2ENIL @ A_27b ) ) @ V0v0 )
% 5.64/5.86 = ( c_2Elist_2ENIL @ A_27a ) ) ) )
% 5.64/5.86 & ! [V2v6: $i] :
% 5.64/5.86 ( ( mem @ V2v6 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.64/5.86 => ! [V3v5: $i] :
% 5.64/5.86 ( ( mem @ V3v5 @ A_27b )
% 5.64/5.86 => ! [V4f: $i] :
% 5.64/5.86 ( ( mem @ V4f @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27b @ ( arr @ A_27c @ A_27a ) ) ) )
% 5.64/5.86 => ( ( ap @ ( ap @ ( ap @ ( c_2EindexedLists_2EMAP2i @ A_27a @ A_27b @ A_27c ) @ V4f ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27b ) @ V3v5 ) @ V2v6 ) ) @ ( c_2Elist_2ENIL @ A_27c ) )
% 5.64/5.86 = ( c_2Elist_2ENIL @ A_27a ) ) ) ) )
% 5.64/5.86 & ! [V5t2: $i] :
% 5.64/5.86 ( ( mem @ V5t2 @ ( ty_2Elist_2Elist @ A_27c ) )
% 5.64/5.86 => ! [V6t1: $i] :
% 5.64/5.86 ( ( mem @ V6t1 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.64/5.86 => ! [V7h2: $i] :
% 5.64/5.86 ( ( mem @ V7h2 @ A_27c )
% 5.64/5.86 => ! [V8h1: $i] :
% 5.64/5.86 ( ( mem @ V8h1 @ A_27b )
% 5.64/5.86 => ! [V9f: $i] :
% 5.64/5.86 ( ( mem @ V9f @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27b @ ( arr @ A_27c @ A_27a ) ) ) )
% 5.64/5.86 => ( ( ap @ ( ap @ ( ap @ ( c_2EindexedLists_2EMAP2i @ A_27a @ A_27b @ A_27c ) @ V9f ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27b ) @ V8h1 ) @ V6t1 ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27c ) @ V7h2 ) @ V5t2 ) )
% 5.64/5.86 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( ap @ ( ap @ V9f @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ V8h1 ) @ V7h2 ) ) @ ( ap @ ( ap @ ( ap @ ( c_2EindexedLists_2EMAP2i @ A_27a @ A_27b @ A_27c ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ty_2Enum_2Enum @ ( arr @ A_27b @ ( arr @ A_27c @ A_27a ) ) @ ty_2Enum_2Enum ) @ V9f ) @ c_2Enum_2ESUC ) ) @ V6t1 ) @ V5t2 ) ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EindexedLists_2EMAP2i__NIL2,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.64/5.86 ( ( mem @ V0f @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27b @ ( arr @ A_27c @ A_27a ) ) ) )
% 5.64/5.86 => ! [V1l1: $i] :
% 5.64/5.86 ( ( mem @ V1l1 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.64/5.86 => ( ( ap @ ( ap @ ( ap @ ( c_2EindexedLists_2EMAP2i @ A_27a @ A_27b @ A_27c ) @ V0f ) @ V1l1 ) @ ( c_2Elist_2ENIL @ A_27c ) )
% 5.64/5.86 = ( c_2Elist_2ENIL @ A_27a ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EindexedLists_2ELENGTH__MAP2i,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.64/5.86 ( ( mem @ V0f @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ ( arr @ A_27b @ A_27c ) ) ) )
% 5.64/5.86 => ! [V1l1: $i] :
% 5.64/5.86 ( ( mem @ V1l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.86 => ! [V2l2: $i] :
% 5.64/5.86 ( ( mem @ V2l2 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.64/5.86 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27c ) @ ( ap @ ( ap @ ( ap @ ( c_2EindexedLists_2EMAP2i @ A_27c @ A_27a @ A_27b ) @ V0f ) @ V1l1 ) @ V2l2 ) ) )
% 5.64/5.86 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMIN @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l1 ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27b ) @ V2l2 ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EindexedLists_2EEL__MAP2i,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.64/5.86 ( ( mem @ V0f @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ ( arr @ A_27b @ A_27c ) ) ) )
% 5.64/5.86 => ! [V1l1: $i] :
% 5.64/5.86 ( ( mem @ V1l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.86 => ! [V2l2: $i] :
% 5.64/5.86 ( ( mem @ V2l2 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.64/5.86 => ! [V3n: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V3n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l1 ) ) )
% 5.64/5.86 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V3n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27b ) @ V2l2 ) ) ) )
% 5.64/5.86 => ( ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27c ) @ ( inj__ty_2Enum_2Enum @ V3n ) ) @ ( ap @ ( ap @ ( ap @ ( c_2EindexedLists_2EMAP2i @ A_27c @ A_27a @ A_27b ) @ V0f ) @ V1l1 ) @ V2l2 ) )
% 5.64/5.86 = ( ap @ ( ap @ ( ap @ V0f @ ( inj__ty_2Enum_2Enum @ V3n ) ) @ ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V3n ) ) @ V1l1 ) ) @ ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V3n ) ) @ V2l2 ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EindexedLists_2EMAP2ia__ind,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,A_27c: del,V0P: $i] :
% 5.64/5.86 ( ( mem @ V0P @ ( arr @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27b @ ( arr @ A_27c @ A_27a ) ) ) @ ( arr @ ty_2Enum_2Enum @ ( arr @ ( ty_2Elist_2Elist @ A_27b ) @ ( arr @ ( ty_2Elist_2Elist @ A_27c ) @ bool ) ) ) ) )
% 5.64/5.86 => ( ( ! [V1f: $i] :
% 5.64/5.86 ( ( mem @ V1f @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27b @ ( arr @ A_27c @ A_27a ) ) ) )
% 5.64/5.86 => ! [V2i: tp__ty_2Enum_2Enum,V3v0: $i] :
% 5.64/5.86 ( ( mem @ V3v0 @ ( ty_2Elist_2Elist @ A_27c ) )
% 5.64/5.86 => ( p @ ( ap @ ( ap @ ( ap @ ( ap @ V0P @ V1f ) @ ( inj__ty_2Enum_2Enum @ V2i ) ) @ ( c_2Elist_2ENIL @ A_27b ) ) @ V3v0 ) ) ) )
% 5.64/5.86 & ! [V4f: $i] :
% 5.64/5.86 ( ( mem @ V4f @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27b @ ( arr @ A_27c @ A_27a ) ) ) )
% 5.64/5.86 => ! [V5i: tp__ty_2Enum_2Enum,V6v7: $i] :
% 5.64/5.86 ( ( mem @ V6v7 @ A_27b )
% 5.64/5.86 => ! [V7v8: $i] :
% 5.64/5.86 ( ( mem @ V7v8 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.64/5.86 => ( p @ ( ap @ ( ap @ ( ap @ ( ap @ V0P @ V4f ) @ ( inj__ty_2Enum_2Enum @ V5i ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27b ) @ V6v7 ) @ V7v8 ) ) @ ( c_2Elist_2ENIL @ A_27c ) ) ) ) ) )
% 5.64/5.86 & ! [V8f: $i] :
% 5.64/5.86 ( ( mem @ V8f @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27b @ ( arr @ A_27c @ A_27a ) ) ) )
% 5.64/5.86 => ! [V9i: tp__ty_2Enum_2Enum,V10h1: $i] :
% 5.64/5.86 ( ( mem @ V10h1 @ A_27b )
% 5.64/5.86 => ! [V11t1: $i] :
% 5.64/5.86 ( ( mem @ V11t1 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.64/5.86 => ! [V12h2: $i] :
% 5.64/5.86 ( ( mem @ V12h2 @ A_27c )
% 5.64/5.86 => ! [V13t2: $i] :
% 5.64/5.86 ( ( mem @ V13t2 @ ( ty_2Elist_2Elist @ A_27c ) )
% 5.64/5.86 => ( ( p @ ( ap @ ( ap @ ( ap @ ( ap @ V0P @ V8f ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V9i ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ V11t1 ) @ V13t2 ) )
% 5.64/5.86 => ( p @ ( ap @ ( ap @ ( ap @ ( ap @ V0P @ V8f ) @ ( inj__ty_2Enum_2Enum @ V9i ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27b ) @ V10h1 ) @ V11t1 ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27c ) @ V12h2 ) @ V13t2 ) ) ) ) ) ) ) ) ) )
% 5.64/5.86 => ! [V14v: $i] :
% 5.64/5.86 ( ( mem @ V14v @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27b @ ( arr @ A_27c @ A_27a ) ) ) )
% 5.64/5.86 => ! [V15v1: tp__ty_2Enum_2Enum,V16v2: $i] :
% 5.64/5.86 ( ( mem @ V16v2 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.64/5.86 => ! [V17v3: $i] :
% 5.64/5.86 ( ( mem @ V17v3 @ ( ty_2Elist_2Elist @ A_27c ) )
% 5.64/5.86 => ( p @ ( ap @ ( ap @ ( ap @ ( ap @ V0P @ V14v ) @ ( inj__ty_2Enum_2Enum @ V15v1 ) ) @ V16v2 ) @ V17v3 ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EindexedLists_2EMAP2ia__def,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,A_27c: del] :
% 5.64/5.86 ( ! [V0v0: $i] :
% 5.64/5.86 ( ( mem @ V0v0 @ ( ty_2Elist_2Elist @ A_27c ) )
% 5.64/5.86 => ! [V1i: tp__ty_2Enum_2Enum,V2f: $i] :
% 5.64/5.86 ( ( mem @ V2f @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27b @ ( arr @ A_27c @ A_27a ) ) ) )
% 5.64/5.86 => ( ( ap @ ( ap @ ( ap @ ( ap @ ( c_2EindexedLists_2EMAP2ia @ A_27a @ A_27b @ A_27c ) @ V2f ) @ ( inj__ty_2Enum_2Enum @ V1i ) ) @ ( c_2Elist_2ENIL @ A_27b ) ) @ V0v0 )
% 5.64/5.86 = ( c_2Elist_2ENIL @ A_27a ) ) ) )
% 5.64/5.86 & ! [V3v8: $i] :
% 5.64/5.86 ( ( mem @ V3v8 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.64/5.86 => ! [V4v7: $i] :
% 5.64/5.86 ( ( mem @ V4v7 @ A_27b )
% 5.64/5.86 => ! [V5i: tp__ty_2Enum_2Enum,V6f: $i] :
% 5.64/5.86 ( ( mem @ V6f @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27b @ ( arr @ A_27c @ A_27a ) ) ) )
% 5.64/5.86 => ( ( ap @ ( ap @ ( ap @ ( ap @ ( c_2EindexedLists_2EMAP2ia @ A_27a @ A_27b @ A_27c ) @ V6f ) @ ( inj__ty_2Enum_2Enum @ V5i ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27b ) @ V4v7 ) @ V3v8 ) ) @ ( c_2Elist_2ENIL @ A_27c ) )
% 5.64/5.86 = ( c_2Elist_2ENIL @ A_27a ) ) ) ) )
% 5.64/5.86 & ! [V7t2: $i] :
% 5.64/5.86 ( ( mem @ V7t2 @ ( ty_2Elist_2Elist @ A_27c ) )
% 5.64/5.86 => ! [V8t1: $i] :
% 5.64/5.86 ( ( mem @ V8t1 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.64/5.86 => ! [V9i: tp__ty_2Enum_2Enum,V10h2: $i] :
% 5.64/5.86 ( ( mem @ V10h2 @ A_27c )
% 5.64/5.86 => ! [V11h1: $i] :
% 5.64/5.86 ( ( mem @ V11h1 @ A_27b )
% 5.64/5.86 => ! [V12f: $i] :
% 5.64/5.86 ( ( mem @ V12f @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27b @ ( arr @ A_27c @ A_27a ) ) ) )
% 5.64/5.86 => ( ( ap @ ( ap @ ( ap @ ( ap @ ( c_2EindexedLists_2EMAP2ia @ A_27a @ A_27b @ A_27c ) @ V12f ) @ ( inj__ty_2Enum_2Enum @ V9i ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27b ) @ V11h1 ) @ V8t1 ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27c ) @ V10h2 ) @ V7t2 ) )
% 5.64/5.86 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ ( ap @ ( ap @ ( ap @ V12f @ ( inj__ty_2Enum_2Enum @ V9i ) ) @ V11h1 ) @ V10h2 ) ) @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2EindexedLists_2EMAP2ia @ A_27a @ A_27b @ A_27c ) @ V12f ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V9i ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ V8t1 ) @ V7t2 ) ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EindexedLists_2EMAP2ia__NIL2,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.64/5.86 ( ( mem @ V0f @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27b @ ( arr @ A_27c @ A_27a ) ) ) )
% 5.64/5.86 => ! [V1i: tp__ty_2Enum_2Enum,V2l1: $i] :
% 5.64/5.86 ( ( mem @ V2l1 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.64/5.86 => ( ( ap @ ( ap @ ( ap @ ( ap @ ( c_2EindexedLists_2EMAP2ia @ A_27a @ A_27b @ A_27c ) @ V0f ) @ ( inj__ty_2Enum_2Enum @ V1i ) ) @ V2l1 ) @ ( c_2Elist_2ENIL @ A_27c ) )
% 5.64/5.86 = ( c_2Elist_2ENIL @ A_27a ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2EindexedLists_2EMAP2i__compute,axiom,
% 5.64/5.86 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.64/5.86 ( ( mem @ V0f @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ ( arr @ A_27b @ A_27c ) ) ) )
% 5.64/5.86 => ! [V1l1: $i] :
% 5.64/5.86 ( ( mem @ V1l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.86 => ! [V2l2: $i] :
% 5.64/5.86 ( ( mem @ V2l2 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.64/5.86 => ( ( ap @ ( ap @ ( ap @ ( c_2EindexedLists_2EMAP2i @ A_27c @ A_27a @ A_27b ) @ V0f ) @ V1l1 ) @ V2l2 )
% 5.64/5.86 = ( ap @ ( ap @ ( ap @ ( ap @ ( c_2EindexedLists_2EMAP2ia @ A_27c @ A_27a @ A_27b ) @ V0f ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ V1l1 ) @ V2l2 ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 %------------------------------------------------------------------------------
% 5.64/5.86 %------------------------------------------------------------------------------
% 5.64/5.86 thf(tp_c_2ETemporal__Logic_2EALWAYS,type,
% 5.64/5.86 c_2ETemporal__Logic_2EALWAYS: $i ).
% 5.64/5.86
% 5.64/5.86 thf(mem_c_2ETemporal__Logic_2EALWAYS,axiom,
% 5.64/5.86 mem @ c_2ETemporal__Logic_2EALWAYS @ ( arr @ ( arr @ ty_2Enum_2Enum @ bool ) @ ( arr @ ty_2Enum_2Enum @ bool ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(tp_c_2ETemporal__Logic_2EBEFORE,type,
% 5.64/5.86 c_2ETemporal__Logic_2EBEFORE: $i ).
% 5.64/5.86
% 5.64/5.86 thf(mem_c_2ETemporal__Logic_2EBEFORE,axiom,
% 5.64/5.86 mem @ c_2ETemporal__Logic_2EBEFORE @ ( arr @ ( arr @ ty_2Enum_2Enum @ bool ) @ ( arr @ ( arr @ ty_2Enum_2Enum @ bool ) @ ( arr @ ty_2Enum_2Enum @ bool ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(tp_c_2ETemporal__Logic_2EEVENTUAL,type,
% 5.64/5.86 c_2ETemporal__Logic_2EEVENTUAL: $i ).
% 5.64/5.86
% 5.64/5.86 thf(mem_c_2ETemporal__Logic_2EEVENTUAL,axiom,
% 5.64/5.86 mem @ c_2ETemporal__Logic_2EEVENTUAL @ ( arr @ ( arr @ ty_2Enum_2Enum @ bool ) @ ( arr @ ty_2Enum_2Enum @ bool ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(tp_c_2ETemporal__Logic_2ENEXT,type,
% 5.64/5.86 c_2ETemporal__Logic_2ENEXT: $i ).
% 5.64/5.86
% 5.64/5.86 thf(mem_c_2ETemporal__Logic_2ENEXT,axiom,
% 5.64/5.86 mem @ c_2ETemporal__Logic_2ENEXT @ ( arr @ ( arr @ ty_2Enum_2Enum @ bool ) @ ( arr @ ty_2Enum_2Enum @ bool ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(tp_c_2ETemporal__Logic_2ESBEFORE,type,
% 5.64/5.86 c_2ETemporal__Logic_2ESBEFORE: $i ).
% 5.64/5.86
% 5.64/5.86 thf(mem_c_2ETemporal__Logic_2ESBEFORE,axiom,
% 5.64/5.86 mem @ c_2ETemporal__Logic_2ESBEFORE @ ( arr @ ( arr @ ty_2Enum_2Enum @ bool ) @ ( arr @ ( arr @ ty_2Enum_2Enum @ bool ) @ ( arr @ ty_2Enum_2Enum @ bool ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(tp_c_2ETemporal__Logic_2ESUNTIL,type,
% 5.64/5.86 c_2ETemporal__Logic_2ESUNTIL: $i ).
% 5.64/5.86
% 5.64/5.86 thf(mem_c_2ETemporal__Logic_2ESUNTIL,axiom,
% 5.64/5.86 mem @ c_2ETemporal__Logic_2ESUNTIL @ ( arr @ ( arr @ ty_2Enum_2Enum @ bool ) @ ( arr @ ( arr @ ty_2Enum_2Enum @ bool ) @ ( arr @ ty_2Enum_2Enum @ bool ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(tp_c_2ETemporal__Logic_2ESWHEN,type,
% 5.64/5.86 c_2ETemporal__Logic_2ESWHEN: $i ).
% 5.64/5.86
% 5.64/5.86 thf(mem_c_2ETemporal__Logic_2ESWHEN,axiom,
% 5.64/5.86 mem @ c_2ETemporal__Logic_2ESWHEN @ ( arr @ ( arr @ ty_2Enum_2Enum @ bool ) @ ( arr @ ( arr @ ty_2Enum_2Enum @ bool ) @ ( arr @ ty_2Enum_2Enum @ bool ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(tp_c_2ETemporal__Logic_2EUNTIL,type,
% 5.64/5.86 c_2ETemporal__Logic_2EUNTIL: $i ).
% 5.64/5.86
% 5.64/5.86 thf(mem_c_2ETemporal__Logic_2EUNTIL,axiom,
% 5.64/5.86 mem @ c_2ETemporal__Logic_2EUNTIL @ ( arr @ ( arr @ ty_2Enum_2Enum @ bool ) @ ( arr @ ( arr @ ty_2Enum_2Enum @ bool ) @ ( arr @ ty_2Enum_2Enum @ bool ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(tp_c_2ETemporal__Logic_2EUPTO,type,
% 5.64/5.86 c_2ETemporal__Logic_2EUPTO: $i ).
% 5.64/5.86
% 5.64/5.86 thf(mem_c_2ETemporal__Logic_2EUPTO,axiom,
% 5.64/5.86 mem @ c_2ETemporal__Logic_2EUPTO @ ( arr @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ bool ) ) ) @ bool ) ).
% 5.64/5.86
% 5.64/5.86 thf(tp_c_2ETemporal__Logic_2EWATCH,type,
% 5.64/5.86 c_2ETemporal__Logic_2EWATCH: $i ).
% 5.64/5.86
% 5.64/5.86 thf(mem_c_2ETemporal__Logic_2EWATCH,axiom,
% 5.64/5.86 mem @ c_2ETemporal__Logic_2EWATCH @ ( arr @ ( arr @ ty_2Enum_2Enum @ bool ) @ ( arr @ ( arr @ ty_2Enum_2Enum @ bool ) @ ( arr @ ty_2Enum_2Enum @ bool ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(tp_c_2ETemporal__Logic_2EWHEN,type,
% 5.64/5.86 c_2ETemporal__Logic_2EWHEN: $i ).
% 5.64/5.86
% 5.64/5.86 thf(mem_c_2ETemporal__Logic_2EWHEN,axiom,
% 5.64/5.86 mem @ c_2ETemporal__Logic_2EWHEN @ ( arr @ ( arr @ ty_2Enum_2Enum @ bool ) @ ( arr @ ( arr @ ty_2Enum_2Enum @ bool ) @ ( arr @ ty_2Enum_2Enum @ bool ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(ax_thm_2ETemporal__Logic_2ENEXT,axiom,
% 5.64/5.86 ! [V0P: $i] :
% 5.64/5.86 ( ( mem @ V0P @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( ( ap @ c_2ETemporal__Logic_2ENEXT @ V0P )
% 5.64/5.86 = ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V1t: $i] : ( ap @ V0P @ ( ap @ c_2Enum_2ESUC @ V1t ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(ax_thm_2ETemporal__Logic_2EALWAYS,axiom,
% 5.64/5.86 ! [V0P: $i] :
% 5.64/5.86 ( ( mem @ V0P @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1t0: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( p @ ( ap @ ( ap @ c_2ETemporal__Logic_2EALWAYS @ V0P ) @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) )
% 5.64/5.86 <=> ! [V2t: tp__ty_2Enum_2Enum] : ( p @ ( ap @ V0P @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V2t ) ) @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(ax_thm_2ETemporal__Logic_2EEVENTUAL,axiom,
% 5.64/5.86 ! [V0P: $i] :
% 5.64/5.86 ( ( mem @ V0P @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1t0: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( p @ ( ap @ ( ap @ c_2ETemporal__Logic_2EEVENTUAL @ V0P ) @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) )
% 5.64/5.86 <=> ? [V2t: tp__ty_2Enum_2Enum] : ( p @ ( ap @ V0P @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V2t ) ) @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(ax_thm_2ETemporal__Logic_2EWATCH,axiom,
% 5.64/5.86 ! [V0q: $i] :
% 5.64/5.86 ( ( mem @ V0q @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1b: $i] :
% 5.64/5.86 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V2t0: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2EWATCH @ V0q ) @ V1b ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) )
% 5.64/5.86 <=> ! [V3t: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( ( p @ ( ap @ V0q @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) )
% 5.64/5.86 <=> $false )
% 5.64/5.86 & ( ( p @ ( ap @ V0q @ ( ap @ c_2Enum_2ESUC @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V3t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) ) )
% 5.64/5.86 <=> ( ( p @ ( ap @ V0q @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V3t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) )
% 5.64/5.86 | ( p @ ( ap @ V1b @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V3t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(ax_thm_2ETemporal__Logic_2EUPTO,axiom,
% 5.64/5.86 ! [V0t0: tp__ty_2Enum_2Enum,V1t1: tp__ty_2Enum_2Enum,V2a: $i] :
% 5.64/5.86 ( ( mem @ V2a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( ( p @ ( ap @ c_2ETemporal__Logic_2EUPTO @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ bool ) ) ) @ ( inj__ty_2Enum_2Enum @ V0t0 ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ bool ) ) @ ( inj__ty_2Enum_2Enum @ V1t1 ) ) @ V2a ) ) ) )
% 5.64/5.86 <=> ! [V3t2: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0t0 ) ) @ ( inj__ty_2Enum_2Enum @ V3t2 ) ) )
% 5.64/5.86 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V3t2 ) ) @ ( inj__ty_2Enum_2Enum @ V1t1 ) ) ) )
% 5.64/5.86 => ( p @ ( ap @ V2a @ ( inj__ty_2Enum_2Enum @ V3t2 ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(ax_thm_2ETemporal__Logic_2EWHEN,axiom,
% 5.64/5.86 ! [V0a: $i] :
% 5.64/5.86 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1b: $i] :
% 5.64/5.86 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V2t0: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2EWHEN @ V0a ) @ V1b ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) )
% 5.64/5.86 <=> ? [V3q: $i] :
% 5.64/5.86 ( ( mem @ V3q @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 & ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2EWATCH @ V3q ) @ V1b ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) )
% 5.64/5.86 & ! [V4t: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( p @ ( ap @ V3q @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V4t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) )
% 5.64/5.86 | ( ( p @ ( ap @ V1b @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V4t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) )
% 5.64/5.86 => ( p @ ( ap @ V0a @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V4t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(ax_thm_2ETemporal__Logic_2EUNTIL,axiom,
% 5.64/5.86 ! [V0a: $i] :
% 5.64/5.86 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1b: $i] :
% 5.64/5.86 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V2t0: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2EUNTIL @ V0a ) @ V1b ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) )
% 5.64/5.86 <=> ? [V3q: $i] :
% 5.64/5.86 ( ( mem @ V3q @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 & ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2EWATCH @ V3q ) @ V1b ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) )
% 5.64/5.86 & ! [V4t: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( p @ ( ap @ V3q @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V4t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) )
% 5.64/5.86 | ( p @ ( ap @ V1b @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V4t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) )
% 5.64/5.86 | ( p @ ( ap @ V0a @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V4t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(ax_thm_2ETemporal__Logic_2EBEFORE,axiom,
% 5.64/5.86 ! [V0a: $i] :
% 5.64/5.86 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1b: $i] :
% 5.64/5.86 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V2t0: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2EBEFORE @ V0a ) @ V1b ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) )
% 5.64/5.86 <=> ? [V3q: $i] :
% 5.64/5.86 ( ( mem @ V3q @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 & ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2EWATCH @ V3q ) @ V1b ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) )
% 5.64/5.86 & ( ? [V4t: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ~ ( p @ ( ap @ V3q @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V4t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) )
% 5.64/5.86 & ~ ( p @ ( ap @ V1b @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V4t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) )
% 5.64/5.86 & ( p @ ( ap @ V0a @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V4t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) ) )
% 5.64/5.86 | ! [V5t: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ~ ( p @ ( ap @ V1b @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V5t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(ax_thm_2ETemporal__Logic_2ESWHEN,axiom,
% 5.64/5.86 ! [V0a: $i] :
% 5.64/5.86 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1b: $i] :
% 5.64/5.86 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V2t0: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESWHEN @ V0a ) @ V1b ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) )
% 5.64/5.86 <=> ? [V3q: $i] :
% 5.64/5.86 ( ( mem @ V3q @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 & ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2EWATCH @ V3q ) @ V1b ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) )
% 5.64/5.86 & ? [V4t: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ~ ( p @ ( ap @ V3q @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V4t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) )
% 5.64/5.86 & ( p @ ( ap @ V1b @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V4t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) )
% 5.64/5.86 & ( p @ ( ap @ V0a @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V4t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(ax_thm_2ETemporal__Logic_2ESUNTIL,axiom,
% 5.64/5.86 ! [V0a: $i] :
% 5.64/5.86 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1b: $i] :
% 5.64/5.86 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V2t0: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESUNTIL @ V0a ) @ V1b ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) )
% 5.64/5.86 <=> ? [V3q: $i] :
% 5.64/5.86 ( ( mem @ V3q @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 & ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2EWATCH @ V3q ) @ V1b ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) )
% 5.64/5.86 & ! [V4t: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( p @ ( ap @ V3q @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V4t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) )
% 5.64/5.86 | ( p @ ( ap @ V1b @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V4t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) )
% 5.64/5.86 | ( p @ ( ap @ V0a @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V4t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) ) )
% 5.64/5.86 & ? [V5t: tp__ty_2Enum_2Enum] : ( p @ ( ap @ V1b @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V5t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(ax_thm_2ETemporal__Logic_2ESBEFORE,axiom,
% 5.64/5.86 ! [V0a: $i] :
% 5.64/5.86 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1b: $i] :
% 5.64/5.86 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V2t0: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESBEFORE @ V0a ) @ V1b ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) )
% 5.64/5.86 <=> ? [V3q: $i] :
% 5.64/5.86 ( ( mem @ V3q @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 & ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2EWATCH @ V3q ) @ V1b ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) )
% 5.64/5.86 & ? [V4t: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ~ ( p @ ( ap @ V3q @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V4t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) )
% 5.64/5.86 & ~ ( p @ ( ap @ V1b @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V4t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) )
% 5.64/5.86 & ( p @ ( ap @ V0a @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V4t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2EWATCH__EXISTS,axiom,
% 5.64/5.86 ! [V0b: $i] :
% 5.64/5.86 ( ( mem @ V0b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1t0: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ? [V2q: $i] :
% 5.64/5.86 ( ( mem @ V2q @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 & ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2EWATCH @ V2q ) @ V0b ) @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2EWELL__ORDER,axiom,
% 5.64/5.86 ! [V0P: $i] :
% 5.64/5.86 ( ( mem @ V0P @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( ? [V1n: tp__ty_2Enum_2Enum] : ( p @ ( ap @ V0P @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.64/5.86 <=> ? [V2m: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( p @ ( ap @ V0P @ ( inj__ty_2Enum_2Enum @ V2m ) ) )
% 5.64/5.86 & ! [V3n: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V3n ) ) @ ( inj__ty_2Enum_2Enum @ V2m ) ) )
% 5.64/5.86 => ~ ( p @ ( ap @ V0P @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2EWELL__ORDER__UNIQUE,axiom,
% 5.64/5.86 ! [V0m2: tp__ty_2Enum_2Enum,V1m1: tp__ty_2Enum_2Enum,V2P: $i] :
% 5.64/5.86 ( ( mem @ V2P @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( ( ( p @ ( ap @ V2P @ ( inj__ty_2Enum_2Enum @ V1m1 ) ) )
% 5.64/5.86 & ! [V3n: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V3n ) ) @ ( inj__ty_2Enum_2Enum @ V1m1 ) ) )
% 5.64/5.86 => ~ ( p @ ( ap @ V2P @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) )
% 5.64/5.86 & ( p @ ( ap @ V2P @ ( inj__ty_2Enum_2Enum @ V0m2 ) ) )
% 5.64/5.86 & ! [V4n: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V4n ) ) @ ( inj__ty_2Enum_2Enum @ V0m2 ) ) )
% 5.64/5.86 => ~ ( p @ ( ap @ V2P @ ( inj__ty_2Enum_2Enum @ V4n ) ) ) ) )
% 5.64/5.86 => ( V1m1 = V0m2 ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2EDELTA__CASES,axiom,
% 5.64/5.86 ! [V0b: $i] :
% 5.64/5.86 ( ( mem @ V0b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1t0: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ? [V2d: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ! [V3t: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V3t ) ) @ ( inj__ty_2Enum_2Enum @ V2d ) ) )
% 5.64/5.86 => ~ ( p @ ( ap @ V0b @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V3t ) ) @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) ) ) )
% 5.64/5.86 & ( p @ ( ap @ V0b @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V2d ) ) @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) ) ) )
% 5.64/5.86 | ! [V4d: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ~ ( p @ ( ap @ V0b @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V4d ) ) @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2EWHEN__IMP,axiom,
% 5.64/5.86 ! [V0a: $i] :
% 5.64/5.86 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1b: $i] :
% 5.64/5.86 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V2t0: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2EWHEN @ V0a ) @ V1b ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) )
% 5.64/5.86 <=> ! [V3q: $i] :
% 5.64/5.86 ( ( mem @ V3q @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2EWATCH @ V3q ) @ V1b ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) )
% 5.64/5.86 => ! [V4t: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( p @ ( ap @ V3q @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V4t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) )
% 5.64/5.86 | ( ( p @ ( ap @ V1b @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V4t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) )
% 5.64/5.86 => ( p @ ( ap @ V0a @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V4t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2EUNTIL__IMP,axiom,
% 5.64/5.86 ! [V0a: $i] :
% 5.64/5.86 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1b: $i] :
% 5.64/5.86 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V2t0: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2EUNTIL @ V0a ) @ V1b ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) )
% 5.64/5.86 <=> ! [V3q: $i] :
% 5.64/5.86 ( ( mem @ V3q @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2EWATCH @ V3q ) @ V1b ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) )
% 5.64/5.86 => ! [V4t: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( p @ ( ap @ V3q @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V4t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) )
% 5.64/5.86 | ( p @ ( ap @ V1b @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V4t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) )
% 5.64/5.86 | ( p @ ( ap @ V0a @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V4t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2EBEFORE__IMP,axiom,
% 5.64/5.86 ! [V0a: $i] :
% 5.64/5.86 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1b: $i] :
% 5.64/5.86 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V2t0: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2EBEFORE @ V0a ) @ V1b ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) )
% 5.64/5.86 <=> ! [V3q: $i] :
% 5.64/5.86 ( ( mem @ V3q @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2EWATCH @ V3q ) @ V1b ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) )
% 5.64/5.86 => ( ? [V4t: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ~ ( p @ ( ap @ V3q @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V4t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) )
% 5.64/5.86 & ~ ( p @ ( ap @ V1b @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V4t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) )
% 5.64/5.86 & ( p @ ( ap @ V0a @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V4t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) ) )
% 5.64/5.86 | ! [V5t: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ~ ( p @ ( ap @ V1b @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V5t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2ESWHEN__IMP,axiom,
% 5.64/5.86 ! [V0a: $i] :
% 5.64/5.86 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1b: $i] :
% 5.64/5.86 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V2t0: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESWHEN @ V0a ) @ V1b ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) )
% 5.64/5.86 <=> ! [V3q: $i] :
% 5.64/5.86 ( ( mem @ V3q @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2EWATCH @ V3q ) @ V1b ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) )
% 5.64/5.86 => ? [V4t: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ~ ( p @ ( ap @ V3q @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V4t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) )
% 5.64/5.86 & ( p @ ( ap @ V1b @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V4t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) )
% 5.64/5.86 & ( p @ ( ap @ V0a @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V4t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2ESUNTIL__IMP,axiom,
% 5.64/5.86 ! [V0a: $i] :
% 5.64/5.86 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1b: $i] :
% 5.64/5.86 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V2t0: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESUNTIL @ V0a ) @ V1b ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) )
% 5.64/5.86 <=> ! [V3q: $i] :
% 5.64/5.86 ( ( mem @ V3q @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2EWATCH @ V3q ) @ V1b ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) )
% 5.64/5.86 => ( ! [V4t: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( p @ ( ap @ V3q @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V4t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) )
% 5.64/5.86 | ( p @ ( ap @ V1b @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V4t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) )
% 5.64/5.86 | ( p @ ( ap @ V0a @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V4t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) ) )
% 5.64/5.86 & ? [V5t: tp__ty_2Enum_2Enum] : ( p @ ( ap @ V1b @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V5t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2ESBEFORE__IMP,axiom,
% 5.64/5.86 ! [V0a: $i] :
% 5.64/5.86 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1b: $i] :
% 5.64/5.86 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V2t0: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESBEFORE @ V0a ) @ V1b ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) )
% 5.64/5.86 <=> ! [V3q: $i] :
% 5.64/5.86 ( ( mem @ V3q @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2EWATCH @ V3q ) @ V1b ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) )
% 5.64/5.86 => ? [V4t: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ~ ( p @ ( ap @ V3q @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V4t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) )
% 5.64/5.86 & ~ ( p @ ( ap @ V1b @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V4t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) )
% 5.64/5.86 & ( p @ ( ap @ V0a @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V4t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2EALWAYS__SIGNAL,axiom,
% 5.64/5.86 ! [V0a: $i] :
% 5.64/5.86 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1t0: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( p @ ( ap @ ( ap @ c_2ETemporal__Logic_2EALWAYS @ V0a ) @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) )
% 5.64/5.86 <=> ! [V2t: tp__ty_2Enum_2Enum] : ( p @ ( ap @ V0a @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V2t ) ) @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2EEVENTUAL__SIGNAL,axiom,
% 5.64/5.86 ! [V0a: $i] :
% 5.64/5.86 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1t0: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( p @ ( ap @ ( ap @ c_2ETemporal__Logic_2EEVENTUAL @ V0a ) @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) )
% 5.64/5.86 <=> ? [V2t: tp__ty_2Enum_2Enum] : ( p @ ( ap @ V0a @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V2t ) ) @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2EWATCH__SIGNAL,axiom,
% 5.64/5.86 ! [V0q: $i] :
% 5.64/5.86 ( ( mem @ V0q @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1b: $i] :
% 5.64/5.86 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V2t0: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2EWATCH @ V0q ) @ V1b ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) )
% 5.64/5.86 <=> ( ( ! [V3t: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ~ ( p @ ( ap @ V1b @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V3t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) )
% 5.64/5.86 => ! [V4t: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ~ ( p @ ( ap @ V0q @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V4t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) ) )
% 5.64/5.86 & ! [V5d: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( ( p @ ( ap @ V1b @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V5d ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) )
% 5.64/5.86 & ! [V6t: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V6t ) ) @ ( inj__ty_2Enum_2Enum @ V5d ) ) )
% 5.64/5.86 => ~ ( p @ ( ap @ V1b @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V6t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) ) ) )
% 5.64/5.86 => ( ! [V7t: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V7t ) ) @ ( inj__ty_2Enum_2Enum @ V5d ) ) )
% 5.64/5.86 => ~ ( p @ ( ap @ V0q @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V7t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) ) )
% 5.64/5.86 & ! [V8t: tp__ty_2Enum_2Enum] : ( p @ ( ap @ V0q @ ( ap @ c_2Enum_2ESUC @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V8t ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V5d ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2EWHEN__SIGNAL,axiom,
% 5.64/5.86 ! [V0a: $i] :
% 5.64/5.86 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1b: $i] :
% 5.64/5.86 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V2t0: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2EWHEN @ V0a ) @ V1b ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) )
% 5.64/5.86 <=> ! [V3delta: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( ! [V4t: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V4t ) ) @ ( inj__ty_2Enum_2Enum @ V3delta ) ) )
% 5.64/5.86 => ~ ( p @ ( ap @ V1b @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V4t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) ) )
% 5.64/5.86 & ( p @ ( ap @ V1b @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V3delta ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) ) )
% 5.64/5.86 => ( p @ ( ap @ V0a @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V3delta ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2EUNTIL__SIGNAL,axiom,
% 5.64/5.86 ! [V0a: $i] :
% 5.64/5.86 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1b: $i] :
% 5.64/5.86 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V2t0: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2EUNTIL @ V0a ) @ V1b ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) )
% 5.64/5.86 <=> ( ( ! [V3t: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ~ ( p @ ( ap @ V1b @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V3t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) )
% 5.64/5.86 => ! [V4t: tp__ty_2Enum_2Enum] : ( p @ ( ap @ V0a @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V4t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) ) )
% 5.64/5.86 & ! [V5d: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( ! [V6t: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V6t ) ) @ ( inj__ty_2Enum_2Enum @ V5d ) ) )
% 5.64/5.86 => ~ ( p @ ( ap @ V1b @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V6t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) ) )
% 5.64/5.86 & ( p @ ( ap @ V1b @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V5d ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) ) )
% 5.64/5.86 => ! [V7t: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V7t ) ) @ ( inj__ty_2Enum_2Enum @ V5d ) ) )
% 5.64/5.86 => ( p @ ( ap @ V0a @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V7t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2EBEFORE__SIGNAL,axiom,
% 5.64/5.86 ! [V0a: $i] :
% 5.64/5.86 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1b: $i] :
% 5.64/5.86 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V2t0: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2EBEFORE @ V0a ) @ V1b ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) )
% 5.64/5.86 <=> ! [V3delta: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( ! [V4t: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V4t ) ) @ ( inj__ty_2Enum_2Enum @ V3delta ) ) )
% 5.64/5.86 => ~ ( p @ ( ap @ V1b @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V4t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) ) )
% 5.64/5.86 & ( p @ ( ap @ V1b @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V3delta ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) ) )
% 5.64/5.86 => ? [V5t: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V5t ) ) @ ( inj__ty_2Enum_2Enum @ V3delta ) ) )
% 5.64/5.86 & ( p @ ( ap @ V0a @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V5t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2ESWHEN__SIGNAL,axiom,
% 5.64/5.86 ! [V0a: $i] :
% 5.64/5.86 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1b: $i] :
% 5.64/5.86 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V2t0: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESWHEN @ V0a ) @ V1b ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) )
% 5.64/5.86 <=> ? [V3delta: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ! [V4t: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V4t ) ) @ ( inj__ty_2Enum_2Enum @ V3delta ) ) )
% 5.64/5.86 => ~ ( p @ ( ap @ V1b @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V4t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) ) )
% 5.64/5.86 & ( p @ ( ap @ V1b @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V3delta ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) )
% 5.64/5.86 & ( p @ ( ap @ V0a @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V3delta ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2ESUNTIL__SIGNAL,axiom,
% 5.64/5.86 ! [V0a: $i] :
% 5.64/5.86 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1b: $i] :
% 5.64/5.86 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V2t0: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESUNTIL @ V0a ) @ V1b ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) )
% 5.64/5.86 <=> ? [V3delta: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ! [V4t: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V4t ) ) @ ( inj__ty_2Enum_2Enum @ V3delta ) ) )
% 5.64/5.86 => ( ( p @ ( ap @ V0a @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V4t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) )
% 5.64/5.86 & ~ ( p @ ( ap @ V1b @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V4t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) ) ) )
% 5.64/5.86 & ( p @ ( ap @ V1b @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V3delta ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2ESBEFORE__SIGNAL,axiom,
% 5.64/5.86 ! [V0a: $i] :
% 5.64/5.86 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1b: $i] :
% 5.64/5.86 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V2t0: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESBEFORE @ V0a ) @ V1b ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) )
% 5.64/5.86 <=> ? [V3delta: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( p @ ( ap @ V0a @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V3delta ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) )
% 5.64/5.86 & ! [V4t: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V4t ) ) @ ( inj__ty_2Enum_2Enum @ V3delta ) ) )
% 5.64/5.86 => ~ ( p @ ( ap @ V1b @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V4t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2ENEXT__LINORD,axiom,
% 5.64/5.86 ! [V0a: $i] :
% 5.64/5.86 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1t0: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( p @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V0a ) @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) )
% 5.64/5.86 <=> ? [V2t1: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) @ ( inj__ty_2Enum_2Enum @ V2t1 ) ) )
% 5.64/5.86 & ! [V3t3: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) @ ( inj__ty_2Enum_2Enum @ V3t3 ) ) )
% 5.64/5.86 => ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V2t1 ) ) @ ( inj__ty_2Enum_2Enum @ V3t3 ) ) ) )
% 5.64/5.86 & ( p @ ( ap @ V0a @ ( inj__ty_2Enum_2Enum @ V2t1 ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2EALWAYS__LINORD,axiom,
% 5.64/5.86 ! [V0a: $i] :
% 5.64/5.86 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1t0: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( p @ ( ap @ ( ap @ c_2ETemporal__Logic_2EALWAYS @ V0a ) @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) )
% 5.64/5.86 <=> ! [V2t1: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) @ ( inj__ty_2Enum_2Enum @ V2t1 ) ) )
% 5.64/5.86 => ( p @ ( ap @ V0a @ ( inj__ty_2Enum_2Enum @ V2t1 ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2EEVENTUAL__LINORD,axiom,
% 5.64/5.86 ! [V0a: $i] :
% 5.64/5.86 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1t0: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( p @ ( ap @ ( ap @ c_2ETemporal__Logic_2EEVENTUAL @ V0a ) @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) )
% 5.64/5.86 <=> ? [V2t1: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) @ ( inj__ty_2Enum_2Enum @ V2t1 ) ) )
% 5.64/5.86 & ( p @ ( ap @ V0a @ ( inj__ty_2Enum_2Enum @ V2t1 ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2ESUNTIL__LINORD,axiom,
% 5.64/5.86 ! [V0a: $i] :
% 5.64/5.86 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1b: $i] :
% 5.64/5.86 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V2t0: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESUNTIL @ V0a ) @ V1b ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) )
% 5.64/5.86 <=> ? [V3t1: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) @ ( inj__ty_2Enum_2Enum @ V3t1 ) ) )
% 5.64/5.86 & ( p @ ( ap @ V1b @ ( inj__ty_2Enum_2Enum @ V3t1 ) ) )
% 5.64/5.86 & ( p @ ( ap @ c_2ETemporal__Logic_2EUPTO @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ bool ) ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ bool ) ) @ ( inj__ty_2Enum_2Enum @ V3t1 ) ) @ V0a ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2EUNTIL__LINORD,axiom,
% 5.64/5.86 ! [V0a: $i] :
% 5.64/5.86 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1b: $i] :
% 5.64/5.86 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V2t0: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2EUNTIL @ V0a ) @ V1b ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) )
% 5.64/5.86 <=> ! [V3t1: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) @ ( inj__ty_2Enum_2Enum @ V3t1 ) ) )
% 5.64/5.86 & ~ ( p @ ( ap @ V1b @ ( inj__ty_2Enum_2Enum @ V3t1 ) ) )
% 5.64/5.86 & ( p
% 5.64/5.86 @ ( ap @ c_2ETemporal__Logic_2EUPTO
% 5.64/5.86 @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ bool ) ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) )
% 5.64/5.86 @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ bool ) ) @ ( inj__ty_2Enum_2Enum @ V3t1 ) )
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V4t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V1b @ V4t ) ) ) ) ) ) ) )
% 5.64/5.86 => ( p @ ( ap @ V0a @ ( inj__ty_2Enum_2Enum @ V3t1 ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2ESBEFORE__LINORD,axiom,
% 5.64/5.86 ! [V0a: $i] :
% 5.64/5.86 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1b: $i] :
% 5.64/5.86 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V2t0: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESBEFORE @ V0a ) @ V1b ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) )
% 5.64/5.86 <=> ? [V3t1: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) @ ( inj__ty_2Enum_2Enum @ V3t1 ) ) )
% 5.64/5.86 & ( p @ ( ap @ V0a @ ( inj__ty_2Enum_2Enum @ V3t1 ) ) )
% 5.64/5.86 & ~ ( p @ ( ap @ V1b @ ( inj__ty_2Enum_2Enum @ V3t1 ) ) )
% 5.64/5.86 & ( p
% 5.64/5.86 @ ( ap @ c_2ETemporal__Logic_2EUPTO
% 5.64/5.86 @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ bool ) ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) )
% 5.64/5.86 @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ bool ) ) @ ( inj__ty_2Enum_2Enum @ V3t1 ) )
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V4t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V1b @ V4t ) ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2EBEFORE__LINORD,axiom,
% 5.64/5.86 ! [V0a: $i] :
% 5.64/5.86 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1b: $i] :
% 5.64/5.86 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V2t0: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2EBEFORE @ V0a ) @ V1b ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) )
% 5.64/5.86 <=> ! [V3t1: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) @ ( inj__ty_2Enum_2Enum @ V3t1 ) ) )
% 5.64/5.86 & ( p
% 5.64/5.86 @ ( ap @ c_2ETemporal__Logic_2EUPTO
% 5.64/5.86 @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ bool ) ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) )
% 5.64/5.86 @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ bool ) ) @ ( inj__ty_2Enum_2Enum @ V3t1 ) )
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V4t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V4t ) ) ) ) ) ) ) )
% 5.64/5.86 => ~ ( p @ ( ap @ V1b @ ( inj__ty_2Enum_2Enum @ V3t1 ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2ESWHEN__LINORD,axiom,
% 5.64/5.86 ! [V0a: $i] :
% 5.64/5.86 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1b: $i] :
% 5.64/5.86 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V2t0: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESWHEN @ V0a ) @ V1b ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) )
% 5.64/5.86 <=> ? [V3t1: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) @ ( inj__ty_2Enum_2Enum @ V3t1 ) ) )
% 5.64/5.86 & ( p @ ( ap @ V0a @ ( inj__ty_2Enum_2Enum @ V3t1 ) ) )
% 5.64/5.86 & ( p @ ( ap @ V1b @ ( inj__ty_2Enum_2Enum @ V3t1 ) ) )
% 5.64/5.86 & ( p
% 5.64/5.86 @ ( ap @ c_2ETemporal__Logic_2EUPTO
% 5.64/5.86 @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ bool ) ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) )
% 5.64/5.86 @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ bool ) ) @ ( inj__ty_2Enum_2Enum @ V3t1 ) )
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V4t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V1b @ V4t ) ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2EWHEN__LINORD,axiom,
% 5.64/5.86 ! [V0a: $i] :
% 5.64/5.86 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1b: $i] :
% 5.64/5.86 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V2t0: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2EWHEN @ V0a ) @ V1b ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) )
% 5.64/5.86 <=> ! [V3t1: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) @ ( inj__ty_2Enum_2Enum @ V3t1 ) ) )
% 5.64/5.86 & ( p @ ( ap @ V1b @ ( inj__ty_2Enum_2Enum @ V3t1 ) ) )
% 5.64/5.86 & ( p
% 5.64/5.86 @ ( ap @ c_2ETemporal__Logic_2EUPTO
% 5.64/5.86 @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ bool ) ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) )
% 5.64/5.86 @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ bool ) ) @ ( inj__ty_2Enum_2Enum @ V3t1 ) )
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V4t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V1b @ V4t ) ) ) ) ) ) ) )
% 5.64/5.86 => ( p @ ( ap @ V0a @ ( inj__ty_2Enum_2Enum @ V3t1 ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2EALWAYS__AS__WHEN,axiom,
% 5.64/5.86 ! [V0a: $i] :
% 5.64/5.86 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( ( ap @ c_2ETemporal__Logic_2EALWAYS @ V0a )
% 5.64/5.86 = ( ap
% 5.64/5.86 @ ( ap @ c_2ETemporal__Logic_2EWHEN
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V1t: $i] : c_2Ebool_2EF ) )
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V2t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V2t ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2EEVENTUAL__AS__WHEN,axiom,
% 5.64/5.86 ! [V0a: $i] :
% 5.64/5.86 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( ( ap @ c_2ETemporal__Logic_2EEVENTUAL @ V0a )
% 5.64/5.86 = ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V1t: $i] :
% 5.64/5.86 ( ap @ c_2Ebool_2E_7E
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap @ c_2ETemporal__Logic_2EWHEN
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V2t: $i] : c_2Ebool_2EF ) )
% 5.64/5.86 @ V0a )
% 5.64/5.86 @ V1t ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2EUNTIL__AS__WHEN,axiom,
% 5.64/5.86 ! [V0a: $i] :
% 5.64/5.86 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1b: $i] :
% 5.64/5.86 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( ( ap @ ( ap @ c_2ETemporal__Logic_2EUNTIL @ V0a ) @ V1b )
% 5.64/5.86 = ( ap @ ( ap @ c_2ETemporal__Logic_2EWHEN @ V1b )
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V2t: $i] : ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ V0a @ V2t ) ) @ ( ap @ V1b @ V2t ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2EBEFORE__AS__WHEN,axiom,
% 5.64/5.86 ! [V0a: $i] :
% 5.64/5.86 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1b: $i] :
% 5.64/5.86 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( ( ap @ ( ap @ c_2ETemporal__Logic_2EBEFORE @ V0a ) @ V1b )
% 5.64/5.86 = ( ap
% 5.64/5.86 @ ( ap @ c_2ETemporal__Logic_2EWHEN
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V2t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V1b @ V2t ) ) ) )
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V3t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V0a @ V3t ) ) @ ( ap @ V1b @ V3t ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2ESWHEN__AS__WHEN,axiom,
% 5.64/5.86 ! [V0a: $i] :
% 5.64/5.86 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1b: $i] :
% 5.64/5.86 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( ( ap @ ( ap @ c_2ETemporal__Logic_2ESWHEN @ V0a ) @ V1b )
% 5.64/5.86 = ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V2t0: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2EWHEN @ V0a ) @ V1b ) @ V2t0 ) ) @ ( ap @ ( ap @ c_2ETemporal__Logic_2EEVENTUAL @ V1b ) @ V2t0 ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2ESWHEN__AS__NOT__WHEN,axiom,
% 5.64/5.86 ! [V0a: $i] :
% 5.64/5.86 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1b: $i] :
% 5.64/5.86 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V2t0: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESWHEN @ V0a ) @ V1b ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) )
% 5.64/5.86 <=> ~ ( p
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap @ c_2ETemporal__Logic_2EWHEN
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V3t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V3t ) ) ) )
% 5.64/5.86 @ V1b )
% 5.64/5.86 @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2ESUNTIL__AS__WHEN,axiom,
% 5.64/5.86 ! [V0a: $i] :
% 5.64/5.86 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1b: $i] :
% 5.64/5.86 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( ( ap @ ( ap @ c_2ETemporal__Logic_2ESUNTIL @ V0a ) @ V1b )
% 5.64/5.86 = ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V2t: $i] :
% 5.64/5.86 ( ap
% 5.64/5.86 @ ( ap @ c_2Ebool_2E_2F_5C
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap @ ( ap @ c_2ETemporal__Logic_2EWHEN @ V1b )
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V3t: $i] : ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ V0a @ V3t ) ) @ ( ap @ V1b @ V3t ) ) ) )
% 5.64/5.86 @ V2t ) )
% 5.64/5.86 @ ( ap @ ( ap @ c_2ETemporal__Logic_2EEVENTUAL @ V1b ) @ V2t ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2ESBEFORE__AS__WHEN,axiom,
% 5.64/5.86 ! [V0a: $i] :
% 5.64/5.86 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1b: $i] :
% 5.64/5.86 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( ( ap @ ( ap @ c_2ETemporal__Logic_2ESBEFORE @ V0a ) @ V1b )
% 5.64/5.86 = ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V2t0: $i] :
% 5.64/5.86 ( ap
% 5.64/5.86 @ ( ap @ c_2Ebool_2E_2F_5C
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap @ c_2ETemporal__Logic_2EWHEN
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V3t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V1b @ V3t ) ) ) )
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V4t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V0a @ V4t ) ) @ ( ap @ V1b @ V4t ) ) ) )
% 5.64/5.86 @ V2t0 ) )
% 5.64/5.86 @ ( ap @ ( ap @ c_2ETemporal__Logic_2EEVENTUAL @ V0a ) @ V2t0 ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2EBEFORE__AS__WHEN__UNTIL,axiom,
% 5.64/5.86 ! [V0a: $i] :
% 5.64/5.86 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1b: $i] :
% 5.64/5.86 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( ( ap @ ( ap @ c_2ETemporal__Logic_2EBEFORE @ V0a ) @ V1b )
% 5.64/5.86 = ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V2t: $i] :
% 5.64/5.86 ( ap
% 5.64/5.86 @ ( ap @ c_2Ebool_2E_2F_5C
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap @ c_2ETemporal__Logic_2EUNTIL
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V3t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V1b @ V3t ) ) ) )
% 5.64/5.86 @ V0a )
% 5.64/5.86 @ V2t ) )
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap @ c_2ETemporal__Logic_2EWHEN
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V4t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V1b @ V4t ) ) ) )
% 5.64/5.86 @ V0a )
% 5.64/5.86 @ V2t ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2EBEFORE__HW,axiom,
% 5.64/5.86 ! [V0a: $i] :
% 5.64/5.86 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1b: $i] :
% 5.64/5.86 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V2t0: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2EBEFORE @ V0a ) @ V1b ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) )
% 5.64/5.86 <=> ? [V3q: $i] :
% 5.64/5.86 ( ( mem @ V3q @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 & ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2EWATCH @ V3q ) @ V0a ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) )
% 5.64/5.86 & ! [V4t: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( p @ ( ap @ V3q @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V4t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) )
% 5.64/5.86 | ~ ( p @ ( ap @ V1b @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V4t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2EALWAYS__AS__UNTIL,axiom,
% 5.64/5.86 ! [V0a: $i] :
% 5.64/5.86 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( ( ap @ c_2ETemporal__Logic_2EALWAYS @ V0a )
% 5.64/5.86 = ( ap @ ( ap @ c_2ETemporal__Logic_2EUNTIL @ V0a )
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V1t: $i] : c_2Ebool_2EF ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2EEVENTUAL__AS__UNTIL,axiom,
% 5.64/5.86 ! [V0a: $i] :
% 5.64/5.86 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( ( ap @ c_2ETemporal__Logic_2EEVENTUAL @ V0a )
% 5.64/5.86 = ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V1t: $i] :
% 5.64/5.86 ( ap @ c_2Ebool_2E_7E
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap @ c_2ETemporal__Logic_2EUNTIL
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V2t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V2t ) ) ) )
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V3t: $i] : c_2Ebool_2EF ) )
% 5.64/5.86 @ V1t ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2EWHEN__AS__UNTIL,axiom,
% 5.64/5.86 ! [V0a: $i] :
% 5.64/5.86 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1b: $i] :
% 5.64/5.86 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( ( ap @ ( ap @ c_2ETemporal__Logic_2EWHEN @ V0a ) @ V1b )
% 5.64/5.86 = ( ap
% 5.64/5.86 @ ( ap @ c_2ETemporal__Logic_2EUNTIL
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V2t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V1b @ V2t ) ) ) )
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V3t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V3t ) ) @ ( ap @ V1b @ V3t ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2EBEFORE__AS__UNTIL,axiom,
% 5.64/5.86 ! [V0a: $i] :
% 5.64/5.86 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1b: $i] :
% 5.64/5.86 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( ( ap @ ( ap @ c_2ETemporal__Logic_2EBEFORE @ V0a ) @ V1b )
% 5.64/5.86 = ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V2t0: $i] :
% 5.64/5.86 ( ap
% 5.64/5.86 @ ( ap @ c_2Ebool_2E_5C_2F
% 5.64/5.86 @ ( ap @ c_2Ebool_2E_7E
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap @ c_2ETemporal__Logic_2EUNTIL
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V3t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V3t ) ) ) )
% 5.64/5.86 @ V1b )
% 5.64/5.86 @ V2t0 ) ) )
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap @ c_2ETemporal__Logic_2EALWAYS
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V4t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V1b @ V4t ) ) ) )
% 5.64/5.86 @ V2t0 ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2ESWHEN__AS__UNTIL,axiom,
% 5.64/5.86 ! [V0a: $i] :
% 5.64/5.86 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1b: $i] :
% 5.64/5.86 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( ( ap @ ( ap @ c_2ETemporal__Logic_2ESWHEN @ V0a ) @ V1b )
% 5.64/5.86 = ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V2t: $i] :
% 5.64/5.86 ( ap
% 5.64/5.86 @ ( ap @ c_2Ebool_2E_2F_5C
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap @ c_2ETemporal__Logic_2EUNTIL
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V3t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V1b @ V3t ) ) ) )
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V4t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V4t ) ) @ ( ap @ V1b @ V4t ) ) ) )
% 5.64/5.86 @ V2t ) )
% 5.64/5.86 @ ( ap @ ( ap @ c_2ETemporal__Logic_2EEVENTUAL @ V1b ) @ V2t ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2ESUNTIL__AS__UNTIL,axiom,
% 5.64/5.86 ! [V0a: $i] :
% 5.64/5.86 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1b: $i] :
% 5.64/5.86 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( ( ap @ ( ap @ c_2ETemporal__Logic_2ESUNTIL @ V0a ) @ V1b )
% 5.64/5.86 = ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V2t0: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2EUNTIL @ V0a ) @ V1b ) @ V2t0 ) ) @ ( ap @ ( ap @ c_2ETemporal__Logic_2EEVENTUAL @ V1b ) @ V2t0 ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2ESBEFORE__AS__UNTIL,axiom,
% 5.64/5.86 ! [V0a: $i] :
% 5.64/5.86 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1b: $i] :
% 5.64/5.86 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( ( ap @ ( ap @ c_2ETemporal__Logic_2ESBEFORE @ V0a ) @ V1b )
% 5.64/5.86 = ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V2t0: $i] :
% 5.64/5.86 ( ap @ c_2Ebool_2E_7E
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap @ c_2ETemporal__Logic_2EUNTIL
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V3t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V3t ) ) ) )
% 5.64/5.86 @ V1b )
% 5.64/5.86 @ V2t0 ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2EALWAYS__AS__BEFORE,axiom,
% 5.64/5.86 ! [V0b: $i] :
% 5.64/5.86 ( ( mem @ V0b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( ( ap @ c_2ETemporal__Logic_2EALWAYS @ V0b )
% 5.64/5.86 = ( ap
% 5.64/5.86 @ ( ap @ c_2ETemporal__Logic_2EBEFORE
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V1t: $i] : c_2Ebool_2EF ) )
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V2t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0b @ V2t ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2EEVENTUAL__AS__BEFORE,axiom,
% 5.64/5.86 ! [V0b: $i] :
% 5.64/5.86 ( ( mem @ V0b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( ( ap @ c_2ETemporal__Logic_2EEVENTUAL @ V0b )
% 5.64/5.86 = ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V1t0: $i] :
% 5.64/5.86 ( ap @ c_2Ebool_2E_7E
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap @ c_2ETemporal__Logic_2EBEFORE
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V2t: $i] : c_2Ebool_2EF ) )
% 5.64/5.86 @ V0b )
% 5.64/5.86 @ V1t0 ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2EWHEN__AS__BEFORE,axiom,
% 5.64/5.86 ! [V0a: $i] :
% 5.64/5.86 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1b: $i] :
% 5.64/5.86 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( ( ap @ ( ap @ c_2ETemporal__Logic_2EWHEN @ V0a ) @ V1b )
% 5.64/5.86 = ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V2t0: $i] :
% 5.64/5.86 ( ap
% 5.64/5.86 @ ( ap @ c_2Ebool_2E_5C_2F
% 5.64/5.86 @ ( ap @ c_2Ebool_2E_7E
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap @ ( ap @ c_2ETemporal__Logic_2EBEFORE @ V1b )
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V3t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V3t ) ) @ ( ap @ V1b @ V3t ) ) ) )
% 5.64/5.86 @ V2t0 ) ) )
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap @ c_2ETemporal__Logic_2EALWAYS
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V4t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V1b @ V4t ) ) ) )
% 5.64/5.86 @ V2t0 ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2EUNTIL__AS__BEFORE,axiom,
% 5.64/5.86 ! [V0a: $i] :
% 5.64/5.86 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1b: $i] :
% 5.64/5.86 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( ( ap @ ( ap @ c_2ETemporal__Logic_2EUNTIL @ V0a ) @ V1b )
% 5.64/5.86 = ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V2t0: $i] :
% 5.64/5.86 ( ap
% 5.64/5.86 @ ( ap @ c_2Ebool_2E_5C_2F
% 5.64/5.86 @ ( ap @ c_2Ebool_2E_7E
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap @ c_2ETemporal__Logic_2EBEFORE
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V3t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V3t ) ) ) )
% 5.64/5.86 @ V1b )
% 5.64/5.86 @ V2t0 ) ) )
% 5.64/5.86 @ ( ap @ ( ap @ c_2ETemporal__Logic_2EALWAYS @ V0a ) @ V2t0 ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2ESWHEN__AS__BEFORE,axiom,
% 5.64/5.86 ! [V0a: $i] :
% 5.64/5.86 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1b: $i] :
% 5.64/5.86 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( ( ap @ ( ap @ c_2ETemporal__Logic_2ESWHEN @ V0a ) @ V1b )
% 5.64/5.86 = ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V2t0: $i] :
% 5.64/5.86 ( ap @ c_2Ebool_2E_7E
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap @ ( ap @ c_2ETemporal__Logic_2EBEFORE @ V1b )
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V3t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V3t ) ) @ ( ap @ V1b @ V3t ) ) ) )
% 5.64/5.86 @ V2t0 ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2ESUNTIL__AS__BEFORE,axiom,
% 5.64/5.86 ! [V0a: $i] :
% 5.64/5.86 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1b: $i] :
% 5.64/5.86 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( ( ap @ ( ap @ c_2ETemporal__Logic_2ESUNTIL @ V0a ) @ V1b )
% 5.64/5.86 = ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V2t0: $i] :
% 5.64/5.86 ( ap @ c_2Ebool_2E_7E
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap @ c_2ETemporal__Logic_2EBEFORE
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V3t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V3t ) ) ) )
% 5.64/5.86 @ V1b )
% 5.64/5.86 @ V2t0 ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2ESBEFORE__AS__BEFORE,axiom,
% 5.64/5.86 ! [V0a: $i] :
% 5.64/5.86 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1b: $i] :
% 5.64/5.86 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( ( ap @ ( ap @ c_2ETemporal__Logic_2ESBEFORE @ V0a ) @ V1b )
% 5.64/5.86 = ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V2t0: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2EBEFORE @ V0a ) @ V1b ) @ V2t0 ) ) @ ( ap @ ( ap @ c_2ETemporal__Logic_2EEVENTUAL @ V0a ) @ V2t0 ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2EWHEN__SWHEN__LEMMA,axiom,
% 5.64/5.86 ! [V0b: $i] :
% 5.64/5.86 ( ( mem @ V0b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1a: $i] :
% 5.64/5.86 ( ( mem @ V1a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( p
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap @ ( c_2Ebool_2ECOND @ bool )
% 5.64/5.86 @ ( ap @ ( c_2Ebool_2E_21 @ ty_2Enum_2Enum )
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V2t1: $i] :
% 5.64/5.86 ( ap @ ( c_2Ebool_2E_3F @ ty_2Enum_2Enum )
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V3t2: $i] : ( ap @ V0b @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ V3t2 ) @ V2t1 ) ) ) ) ) ) )
% 5.64/5.86 @ ( ap @ ( c_2Ebool_2E_21 @ ty_2Enum_2Enum )
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V4t0: $i] : ( ap @ ( ap @ ( c_2Emin_2E_3D @ bool ) @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2EWHEN @ V1a ) @ V0b ) @ V4t0 ) ) @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESWHEN @ V1a ) @ V0b ) @ V4t0 ) ) ) ) )
% 5.64/5.86 @ ( ap @ ( c_2Ebool_2E_3F @ ty_2Enum_2Enum )
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V5t1: $i] :
% 5.64/5.86 ( ap @ ( c_2Ebool_2E_21 @ ty_2Enum_2Enum )
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V6t2: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2EWHEN @ V1a ) @ V0b ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ V6t2 ) @ V5t1 ) ) ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESWHEN @ V1a ) @ V0b ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ V6t2 ) @ V5t1 ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2EALWAYS__AS__SWHEN,axiom,
% 5.64/5.86 ! [V0a: $i] :
% 5.64/5.86 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( ( ap @ c_2ETemporal__Logic_2EALWAYS @ V0a )
% 5.64/5.86 = ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V1t: $i] :
% 5.64/5.86 ( ap @ c_2Ebool_2E_7E
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap @ c_2ETemporal__Logic_2ESWHEN
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V2t: $i] : c_2Ebool_2ET ) )
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V3t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V3t ) ) ) )
% 5.64/5.86 @ V1t ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2EEVENTUAL__AS__SWHEN,axiom,
% 5.64/5.86 ! [V0a: $i] :
% 5.64/5.86 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( ( ap @ c_2ETemporal__Logic_2EEVENTUAL @ V0a )
% 5.64/5.86 = ( ap
% 5.64/5.86 @ ( ap @ c_2ETemporal__Logic_2ESWHEN
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V1t: $i] : c_2Ebool_2ET ) )
% 5.64/5.86 @ V0a ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2EWHEN__AS__SWHEN,axiom,
% 5.64/5.86 ! [V0a: $i] :
% 5.64/5.86 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1b: $i] :
% 5.64/5.86 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( ( ap @ ( ap @ c_2ETemporal__Logic_2EWHEN @ V0a ) @ V1b )
% 5.64/5.86 = ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V2t: $i] :
% 5.64/5.86 ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESWHEN @ V0a ) @ V1b ) @ V2t ) )
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap @ c_2ETemporal__Logic_2EALWAYS
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V3t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V1b @ V3t ) ) ) )
% 5.64/5.86 @ V2t ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2EWHEN__AS__NOT__SWHEN,axiom,
% 5.64/5.86 ! [V0a: $i] :
% 5.64/5.86 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1b: $i] :
% 5.64/5.86 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V2t0: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2EWHEN @ V0a ) @ V1b ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) )
% 5.64/5.86 <=> ~ ( p
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap @ c_2ETemporal__Logic_2ESWHEN
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V3t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V3t ) ) ) )
% 5.64/5.86 @ V1b )
% 5.64/5.86 @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2EUNTIL__AS__SWHEN,axiom,
% 5.64/5.86 ! [V0a: $i] :
% 5.64/5.86 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1b: $i] :
% 5.64/5.86 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( ( ap @ ( ap @ c_2ETemporal__Logic_2EUNTIL @ V0a ) @ V1b )
% 5.64/5.86 = ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V2t: $i] :
% 5.64/5.86 ( ap
% 5.64/5.86 @ ( ap @ c_2Ebool_2E_5C_2F
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESWHEN @ V1b )
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V3t: $i] : ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ V0a @ V3t ) ) @ ( ap @ V1b @ V3t ) ) ) )
% 5.64/5.86 @ V2t ) )
% 5.64/5.86 @ ( ap @ ( ap @ c_2ETemporal__Logic_2EALWAYS @ V0a ) @ V2t ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2EBEFORE__AS__SWHEN,axiom,
% 5.64/5.86 ! [V0a: $i] :
% 5.64/5.86 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1b: $i] :
% 5.64/5.86 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( ( ap @ ( ap @ c_2ETemporal__Logic_2EBEFORE @ V0a ) @ V1b )
% 5.64/5.86 = ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V2t0: $i] :
% 5.64/5.86 ( ap
% 5.64/5.86 @ ( ap @ c_2Ebool_2E_5C_2F
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap @ c_2ETemporal__Logic_2ESWHEN
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V3t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V1b @ V3t ) ) ) )
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V4t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V0a @ V4t ) ) @ ( ap @ V1b @ V4t ) ) ) )
% 5.64/5.86 @ V2t0 ) )
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap @ c_2ETemporal__Logic_2EALWAYS
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V5t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V5t ) ) ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V1b @ V5t ) ) ) ) )
% 5.64/5.86 @ V2t0 ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2EBEFORE__AS__NOT__SWHEN,axiom,
% 5.64/5.86 ! [V0a: $i] :
% 5.64/5.86 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1b: $i] :
% 5.64/5.86 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( ( ap @ ( ap @ c_2ETemporal__Logic_2EBEFORE @ V0a ) @ V1b )
% 5.64/5.86 = ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V2t0: $i] :
% 5.64/5.86 ( ap @ c_2Ebool_2E_7E
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESWHEN @ V1b )
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V3t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V0a @ V3t ) ) @ ( ap @ V1b @ V3t ) ) ) )
% 5.64/5.86 @ V2t0 ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2ESUNTIL__AS__SWHEN,axiom,
% 5.64/5.86 ! [V0a: $i] :
% 5.64/5.86 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1b: $i] :
% 5.64/5.86 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( ( ap @ ( ap @ c_2ETemporal__Logic_2ESUNTIL @ V0a ) @ V1b )
% 5.64/5.86 = ( ap @ ( ap @ c_2ETemporal__Logic_2ESWHEN @ V1b )
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V2t: $i] : ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ V0a @ V2t ) ) @ ( ap @ V1b @ V2t ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2ESBEFORE__AS__SWHEN,axiom,
% 5.64/5.86 ! [V0a: $i] :
% 5.64/5.86 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1b: $i] :
% 5.64/5.86 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( ( ap @ ( ap @ c_2ETemporal__Logic_2ESBEFORE @ V0a ) @ V1b )
% 5.64/5.86 = ( ap
% 5.64/5.86 @ ( ap @ c_2ETemporal__Logic_2ESWHEN
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V2t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V1b @ V2t ) ) ) )
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V3t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V0a @ V3t ) ) @ ( ap @ V1b @ V3t ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2EALWAYS__AS__SUNTIL,axiom,
% 5.64/5.86 ! [V0a: $i] :
% 5.64/5.86 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( ( ap @ c_2ETemporal__Logic_2EALWAYS @ V0a )
% 5.64/5.86 = ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V1t: $i] :
% 5.64/5.86 ( ap @ c_2Ebool_2E_7E
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap @ c_2ETemporal__Logic_2ESUNTIL
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V2t: $i] : c_2Ebool_2ET ) )
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V3t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V3t ) ) ) )
% 5.64/5.86 @ V1t ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2EEVENTUAL__AS__SUNTIL,axiom,
% 5.64/5.86 ! [V0a: $i] :
% 5.64/5.86 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( ( ap @ c_2ETemporal__Logic_2EEVENTUAL @ V0a )
% 5.64/5.86 = ( ap
% 5.64/5.86 @ ( ap @ c_2ETemporal__Logic_2ESUNTIL
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V1t: $i] : c_2Ebool_2ET ) )
% 5.64/5.86 @ V0a ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2EWHEN__AS__SUNTIL,axiom,
% 5.64/5.86 ! [V0a: $i] :
% 5.64/5.86 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1b: $i] :
% 5.64/5.86 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( ( ap @ ( ap @ c_2ETemporal__Logic_2EWHEN @ V0a ) @ V1b )
% 5.64/5.86 = ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V2t: $i] :
% 5.64/5.86 ( ap
% 5.64/5.86 @ ( ap @ c_2Ebool_2E_5C_2F
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap @ c_2ETemporal__Logic_2ESUNTIL
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V3t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V1b @ V3t ) ) ) )
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V4t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V4t ) ) @ ( ap @ V1b @ V4t ) ) ) )
% 5.64/5.86 @ V2t ) )
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap @ c_2ETemporal__Logic_2EALWAYS
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V5t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V1b @ V5t ) ) ) )
% 5.64/5.86 @ V2t ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2EUNTIL__AS__SUNTIL,axiom,
% 5.64/5.86 ! [V0a: $i] :
% 5.64/5.86 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1b: $i] :
% 5.64/5.86 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( ( ap @ ( ap @ c_2ETemporal__Logic_2EUNTIL @ V0a ) @ V1b )
% 5.64/5.86 = ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V2t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESUNTIL @ V0a ) @ V1b ) @ V2t ) ) @ ( ap @ ( ap @ c_2ETemporal__Logic_2EALWAYS @ V0a ) @ V2t ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2EBEFORE__AS__SUNTIL,axiom,
% 5.64/5.86 ! [V0a: $i] :
% 5.64/5.86 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1b: $i] :
% 5.64/5.86 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( ( ap @ ( ap @ c_2ETemporal__Logic_2EBEFORE @ V0a ) @ V1b )
% 5.64/5.86 = ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V2t: $i] :
% 5.64/5.86 ( ap @ c_2Ebool_2E_7E
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap @ c_2ETemporal__Logic_2ESUNTIL
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V3t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V3t ) ) ) )
% 5.64/5.86 @ V1b )
% 5.64/5.86 @ V2t ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2ESWHEN__AS__SUNTIL,axiom,
% 5.64/5.86 ! [V0a: $i] :
% 5.64/5.86 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1b: $i] :
% 5.64/5.86 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( ( ap @ ( ap @ c_2ETemporal__Logic_2ESWHEN @ V0a ) @ V1b )
% 5.64/5.86 = ( ap
% 5.64/5.86 @ ( ap @ c_2ETemporal__Logic_2ESUNTIL
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V2t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V1b @ V2t ) ) ) )
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V3t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V3t ) ) @ ( ap @ V1b @ V3t ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2ESBEFORE__AS__SUNTIL,axiom,
% 5.64/5.86 ! [V0a: $i] :
% 5.64/5.86 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1b: $i] :
% 5.64/5.86 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( ( ap @ ( ap @ c_2ETemporal__Logic_2ESBEFORE @ V0a ) @ V1b )
% 5.64/5.86 = ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V2t0: $i] :
% 5.64/5.86 ( ap
% 5.64/5.86 @ ( ap @ c_2Ebool_2E_2F_5C
% 5.64/5.86 @ ( ap @ c_2Ebool_2E_7E
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap @ c_2ETemporal__Logic_2ESUNTIL
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V3t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V3t ) ) ) )
% 5.64/5.86 @ V1b )
% 5.64/5.86 @ V2t0 ) ) )
% 5.64/5.86 @ ( ap @ ( ap @ c_2ETemporal__Logic_2EEVENTUAL @ V0a ) @ V2t0 ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2EALWAYS__AS__SBEFORE,axiom,
% 5.64/5.86 ! [V0b: $i] :
% 5.64/5.86 ( ( mem @ V0b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( ( ap @ c_2ETemporal__Logic_2EALWAYS @ V0b )
% 5.64/5.86 = ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V1t0: $i] :
% 5.64/5.86 ( ap @ c_2Ebool_2E_7E
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap @ c_2ETemporal__Logic_2ESBEFORE
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V2t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0b @ V2t ) ) ) )
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V3t: $i] : c_2Ebool_2EF ) )
% 5.64/5.86 @ V1t0 ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2EEVENTUAL__AS__SBEFORE,axiom,
% 5.64/5.86 ! [V0b: $i] :
% 5.64/5.86 ( ( mem @ V0b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( ( ap @ c_2ETemporal__Logic_2EEVENTUAL @ V0b )
% 5.64/5.86 = ( ap @ ( ap @ c_2ETemporal__Logic_2ESBEFORE @ V0b )
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V1t: $i] : c_2Ebool_2EF ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2EWHEN__AS__SBEFORE,axiom,
% 5.64/5.86 ! [V0a: $i] :
% 5.64/5.86 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1b: $i] :
% 5.64/5.86 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( ( ap @ ( ap @ c_2ETemporal__Logic_2EWHEN @ V0a ) @ V1b )
% 5.64/5.86 = ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V2t0: $i] :
% 5.64/5.86 ( ap
% 5.64/5.86 @ ( ap @ c_2Ebool_2E_5C_2F
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESBEFORE @ V1b )
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V3t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V3t ) ) ) @ ( ap @ V1b @ V3t ) ) ) )
% 5.64/5.86 @ V2t0 ) )
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap @ c_2ETemporal__Logic_2EALWAYS
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V4t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V1b @ V4t ) ) ) )
% 5.64/5.86 @ V2t0 ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2EUNTIL__AS__SBEFORE,axiom,
% 5.64/5.86 ! [V0a: $i] :
% 5.64/5.86 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1b: $i] :
% 5.64/5.86 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( ( ap @ ( ap @ c_2ETemporal__Logic_2EUNTIL @ V0a ) @ V1b )
% 5.64/5.86 = ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V2t0: $i] :
% 5.64/5.86 ( ap @ c_2Ebool_2E_7E
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap @ c_2ETemporal__Logic_2ESBEFORE
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V3t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V3t ) ) ) )
% 5.64/5.86 @ V1b )
% 5.64/5.86 @ V2t0 ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2ESWHEN__AS__SBEFORE,axiom,
% 5.64/5.86 ! [V0a: $i] :
% 5.64/5.86 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1b: $i] :
% 5.64/5.86 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( ( ap @ ( ap @ c_2ETemporal__Logic_2ESWHEN @ V0a ) @ V1b )
% 5.64/5.86 = ( ap @ ( ap @ c_2ETemporal__Logic_2ESBEFORE @ V1b )
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V2t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V2t ) ) ) @ ( ap @ V1b @ V2t ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2ESUNTIL__AS__SBEFORE,axiom,
% 5.64/5.86 ! [V0a: $i] :
% 5.64/5.86 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1b: $i] :
% 5.64/5.86 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( ( ap @ ( ap @ c_2ETemporal__Logic_2ESUNTIL @ V0a ) @ V1b )
% 5.64/5.86 = ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V2t0: $i] :
% 5.64/5.86 ( ap
% 5.64/5.86 @ ( ap @ c_2Ebool_2E_2F_5C
% 5.64/5.86 @ ( ap @ c_2Ebool_2E_7E
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap @ c_2ETemporal__Logic_2ESBEFORE
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V3t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V3t ) ) ) )
% 5.64/5.86 @ V1b )
% 5.64/5.86 @ V2t0 ) ) )
% 5.64/5.86 @ ( ap @ ( ap @ c_2ETemporal__Logic_2EEVENTUAL @ V1b ) @ V2t0 ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2EBEFORE__AS__SBEFORE,axiom,
% 5.64/5.86 ! [V0a: $i] :
% 5.64/5.86 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1b: $i] :
% 5.64/5.86 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( ( ap @ ( ap @ c_2ETemporal__Logic_2EBEFORE @ V0a ) @ V1b )
% 5.64/5.86 = ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V2t0: $i] :
% 5.64/5.86 ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESBEFORE @ V0a ) @ V1b ) @ V2t0 ) )
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap @ c_2ETemporal__Logic_2EALWAYS
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V3t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V1b @ V3t ) ) ) )
% 5.64/5.86 @ V2t0 ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2EWHEN__SIMP,axiom,
% 5.64/5.86 ! [V0b: $i] :
% 5.64/5.86 ( ( mem @ V0b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1a: $i] :
% 5.64/5.86 ( ( mem @ V1a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( ( ( ap
% 5.64/5.86 @ ( ap @ c_2ETemporal__Logic_2EWHEN
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V2t: $i] : c_2Ebool_2EF ) )
% 5.64/5.86 @ V0b )
% 5.64/5.86 = ( ap @ c_2ETemporal__Logic_2EALWAYS
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V3t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0b @ V3t ) ) ) ) )
% 5.64/5.86 & ( ( ap
% 5.64/5.86 @ ( ap @ c_2ETemporal__Logic_2EWHEN
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V4t: $i] : c_2Ebool_2ET ) )
% 5.64/5.86 @ V0b )
% 5.64/5.86 = ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V5t: $i] : c_2Ebool_2ET ) )
% 5.64/5.86 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2EWHEN @ V1a )
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V6t: $i] : c_2Ebool_2EF ) )
% 5.64/5.86 = ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V7t: $i] : c_2Ebool_2ET ) )
% 5.64/5.86 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2EWHEN @ V1a )
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V8t: $i] : c_2Ebool_2ET ) )
% 5.64/5.86 = ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V9t: $i] : ( ap @ V1a @ V9t ) ) )
% 5.64/5.86 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2EWHEN @ V1a ) @ V1a )
% 5.64/5.86 = ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V10t: $i] : c_2Ebool_2ET ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2EUNTIL__SIMP,axiom,
% 5.64/5.86 ! [V0b: $i] :
% 5.64/5.86 ( ( mem @ V0b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1a: $i] :
% 5.64/5.86 ( ( mem @ V1a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( ( ( ap
% 5.64/5.86 @ ( ap @ c_2ETemporal__Logic_2EUNTIL
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V2t: $i] : c_2Ebool_2EF ) )
% 5.64/5.86 @ V0b )
% 5.64/5.86 = ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V3t: $i] : ( ap @ V0b @ V3t ) ) )
% 5.64/5.86 & ( ( ap
% 5.64/5.86 @ ( ap @ c_2ETemporal__Logic_2EUNTIL
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V4t: $i] : c_2Ebool_2ET ) )
% 5.64/5.86 @ V0b )
% 5.64/5.86 = ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V5t: $i] : c_2Ebool_2ET ) )
% 5.64/5.86 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2EUNTIL @ V1a )
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V6t: $i] : c_2Ebool_2EF ) )
% 5.64/5.86 = ( ap @ c_2ETemporal__Logic_2EALWAYS @ V1a ) )
% 5.64/5.86 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2EUNTIL @ V1a )
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V7t: $i] : c_2Ebool_2ET ) )
% 5.64/5.86 = ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V8t: $i] : c_2Ebool_2ET ) )
% 5.64/5.86 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2EUNTIL @ V1a ) @ V1a )
% 5.64/5.86 = ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V9t: $i] : ( ap @ V1a @ V9t ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2EBEFORE__SIMP,axiom,
% 5.64/5.86 ! [V0b: $i] :
% 5.64/5.86 ( ( mem @ V0b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1a: $i] :
% 5.64/5.86 ( ( mem @ V1a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( ( ( ap
% 5.64/5.86 @ ( ap @ c_2ETemporal__Logic_2EBEFORE
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V2t: $i] : c_2Ebool_2EF ) )
% 5.64/5.86 @ V0b )
% 5.64/5.86 = ( ap @ c_2ETemporal__Logic_2EALWAYS
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V3t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0b @ V3t ) ) ) ) )
% 5.64/5.86 & ( ( ap
% 5.64/5.86 @ ( ap @ c_2ETemporal__Logic_2EBEFORE
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V4t: $i] : c_2Ebool_2ET ) )
% 5.64/5.86 @ V0b )
% 5.64/5.86 = ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V5t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0b @ V5t ) ) ) )
% 5.64/5.86 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2EBEFORE @ V1a )
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V6t: $i] : c_2Ebool_2EF ) )
% 5.64/5.86 = ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V7t: $i] : c_2Ebool_2ET ) )
% 5.64/5.86 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2EBEFORE @ V1a )
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V8t: $i] : c_2Ebool_2ET ) )
% 5.64/5.86 = ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V9t: $i] : c_2Ebool_2EF ) )
% 5.64/5.86 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2EBEFORE @ V1a ) @ V1a )
% 5.64/5.86 = ( ap @ c_2ETemporal__Logic_2EALWAYS
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V10t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V1a @ V10t ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2ESWHEN__SIMP,axiom,
% 5.64/5.86 ! [V0b: $i] :
% 5.64/5.86 ( ( mem @ V0b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1a: $i] :
% 5.64/5.86 ( ( mem @ V1a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( ( ( ap
% 5.64/5.86 @ ( ap @ c_2ETemporal__Logic_2ESWHEN
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V2t: $i] : c_2Ebool_2EF ) )
% 5.64/5.86 @ V0b )
% 5.64/5.86 = ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V3t: $i] : c_2Ebool_2EF ) )
% 5.64/5.86 & ( ( ap
% 5.64/5.86 @ ( ap @ c_2ETemporal__Logic_2ESWHEN
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V4t: $i] : c_2Ebool_2ET ) )
% 5.64/5.86 @ V0b )
% 5.64/5.86 = ( ap @ c_2ETemporal__Logic_2EEVENTUAL @ V0b ) )
% 5.64/5.86 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2ESWHEN @ V1a )
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V5t: $i] : c_2Ebool_2EF ) )
% 5.64/5.86 = ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V6t: $i] : c_2Ebool_2EF ) )
% 5.64/5.86 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2ESWHEN @ V1a )
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V7t: $i] : c_2Ebool_2ET ) )
% 5.64/5.86 = ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V8t: $i] : ( ap @ V1a @ V8t ) ) )
% 5.64/5.86 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2ESWHEN @ V1a ) @ V1a )
% 5.64/5.86 = ( ap @ c_2ETemporal__Logic_2EEVENTUAL @ V1a ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2ESUNTIL__SIMP,axiom,
% 5.64/5.86 ! [V0b: $i] :
% 5.64/5.86 ( ( mem @ V0b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1a: $i] :
% 5.64/5.86 ( ( mem @ V1a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( ( ( ap
% 5.64/5.86 @ ( ap @ c_2ETemporal__Logic_2ESUNTIL
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V2t: $i] : c_2Ebool_2EF ) )
% 5.64/5.86 @ V0b )
% 5.64/5.86 = ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V3t: $i] : ( ap @ V0b @ V3t ) ) )
% 5.64/5.86 & ( ( ap
% 5.64/5.86 @ ( ap @ c_2ETemporal__Logic_2ESUNTIL
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V4t: $i] : c_2Ebool_2ET ) )
% 5.64/5.86 @ V0b )
% 5.64/5.86 = ( ap @ c_2ETemporal__Logic_2EEVENTUAL @ V0b ) )
% 5.64/5.86 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2ESUNTIL @ V1a )
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V5t: $i] : c_2Ebool_2EF ) )
% 5.64/5.86 = ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V6t: $i] : c_2Ebool_2EF ) )
% 5.64/5.86 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2ESUNTIL @ V1a )
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V7t: $i] : c_2Ebool_2ET ) )
% 5.64/5.86 = ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V8t: $i] : c_2Ebool_2ET ) )
% 5.64/5.86 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2ESUNTIL @ V1a ) @ V1a )
% 5.64/5.86 = ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V9t: $i] : ( ap @ V1a @ V9t ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2ESBEFORE__SIMP,axiom,
% 5.64/5.86 ! [V0b: $i] :
% 5.64/5.86 ( ( mem @ V0b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1a: $i] :
% 5.64/5.86 ( ( mem @ V1a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( ( ( ap
% 5.64/5.86 @ ( ap @ c_2ETemporal__Logic_2ESBEFORE
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V2t: $i] : c_2Ebool_2EF ) )
% 5.64/5.86 @ V0b )
% 5.64/5.86 = ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V3t: $i] : c_2Ebool_2EF ) )
% 5.64/5.86 & ( ( ap
% 5.64/5.86 @ ( ap @ c_2ETemporal__Logic_2ESBEFORE
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V4t: $i] : c_2Ebool_2ET ) )
% 5.64/5.86 @ V0b )
% 5.64/5.86 = ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V5t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0b @ V5t ) ) ) )
% 5.64/5.86 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2ESBEFORE @ V1a )
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V6t: $i] : c_2Ebool_2EF ) )
% 5.64/5.86 = ( ap @ c_2ETemporal__Logic_2EEVENTUAL @ V1a ) )
% 5.64/5.86 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2ESBEFORE @ V1a )
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V7t: $i] : c_2Ebool_2ET ) )
% 5.64/5.86 = ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V8t: $i] : c_2Ebool_2EF ) )
% 5.64/5.86 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2ESBEFORE @ V1a ) @ V1a )
% 5.64/5.86 = ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V9t: $i] : c_2Ebool_2EF ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2EWHEN__EVENT,axiom,
% 5.64/5.86 ! [V0a: $i] :
% 5.64/5.86 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1b: $i] :
% 5.64/5.86 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( ( ap @ ( ap @ c_2ETemporal__Logic_2EWHEN @ V0a ) @ V1b )
% 5.64/5.86 = ( ap
% 5.64/5.86 @ ( ap @ c_2ETemporal__Logic_2EWHEN
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V2t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V2t ) ) @ ( ap @ V1b @ V2t ) ) ) )
% 5.64/5.86 @ V1b ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2EUNTIL__EVENT,axiom,
% 5.64/5.86 ! [V0a: $i] :
% 5.64/5.86 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1b: $i] :
% 5.64/5.86 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( ( ap @ ( ap @ c_2ETemporal__Logic_2EUNTIL @ V0a ) @ V1b )
% 5.64/5.86 = ( ap
% 5.64/5.86 @ ( ap @ c_2ETemporal__Logic_2EUNTIL
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V2t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V2t ) ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V1b @ V2t ) ) ) ) )
% 5.64/5.86 @ V1b ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2EBEFORE__EVENT,axiom,
% 5.64/5.86 ! [V0a: $i] :
% 5.64/5.86 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1b: $i] :
% 5.64/5.86 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( ( ap @ ( ap @ c_2ETemporal__Logic_2EBEFORE @ V0a ) @ V1b )
% 5.64/5.86 = ( ap
% 5.64/5.86 @ ( ap @ c_2ETemporal__Logic_2EBEFORE
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V2t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V2t ) ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V1b @ V2t ) ) ) ) )
% 5.64/5.86 @ V1b ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2ESWHEN__EVENT,axiom,
% 5.64/5.86 ! [V0a: $i] :
% 5.64/5.86 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1b: $i] :
% 5.64/5.86 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( ( ap @ ( ap @ c_2ETemporal__Logic_2ESWHEN @ V0a ) @ V1b )
% 5.64/5.86 = ( ap
% 5.64/5.86 @ ( ap @ c_2ETemporal__Logic_2ESWHEN
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V2t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V2t ) ) @ ( ap @ V1b @ V2t ) ) ) )
% 5.64/5.86 @ V1b ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2ESUNTIL__EVENT,axiom,
% 5.64/5.86 ! [V0a: $i] :
% 5.64/5.86 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1b: $i] :
% 5.64/5.86 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( ( ap @ ( ap @ c_2ETemporal__Logic_2ESUNTIL @ V0a ) @ V1b )
% 5.64/5.86 = ( ap
% 5.64/5.86 @ ( ap @ c_2ETemporal__Logic_2ESUNTIL
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V2t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V2t ) ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V1b @ V2t ) ) ) ) )
% 5.64/5.86 @ V1b ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2ESBEFORE__EVENT,axiom,
% 5.64/5.86 ! [V0a: $i] :
% 5.64/5.86 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1b: $i] :
% 5.64/5.86 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( ( ap @ ( ap @ c_2ETemporal__Logic_2ESBEFORE @ V0a ) @ V1b )
% 5.64/5.86 = ( ap
% 5.64/5.86 @ ( ap @ c_2ETemporal__Logic_2ESBEFORE
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V2t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V2t ) ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V1b @ V2t ) ) ) ) )
% 5.64/5.86 @ V1b ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2EIMMEDIATE__EVENT,axiom,
% 5.64/5.86 ! [V0b: $i] :
% 5.64/5.86 ( ( mem @ V0b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1t0: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( p @ ( ap @ V0b @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) )
% 5.64/5.86 => ( ! [V2a: $i] :
% 5.64/5.86 ( ( mem @ V2a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2EWHEN @ V2a ) @ V0b ) @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) )
% 5.64/5.86 <=> ( p @ ( ap @ V2a @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) ) ) )
% 5.64/5.86 & ! [V3a: $i] :
% 5.64/5.86 ( ( mem @ V3a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2EUNTIL @ V3a ) @ V0b ) @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) )
% 5.64/5.86 <=> $true ) )
% 5.64/5.86 & ! [V4a: $i] :
% 5.64/5.86 ( ( mem @ V4a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2EBEFORE @ V4a ) @ V0b ) @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) )
% 5.64/5.86 <=> $false ) )
% 5.64/5.86 & ! [V5a: $i] :
% 5.64/5.86 ( ( mem @ V5a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESWHEN @ V5a ) @ V0b ) @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) )
% 5.64/5.86 <=> ( p @ ( ap @ V5a @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) ) ) )
% 5.64/5.86 & ! [V6a: $i] :
% 5.64/5.86 ( ( mem @ V6a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESUNTIL @ V6a ) @ V0b ) @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) )
% 5.64/5.86 <=> $true ) )
% 5.64/5.86 & ! [V7a: $i] :
% 5.64/5.86 ( ( mem @ V7a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESBEFORE @ V7a ) @ V0b ) @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) )
% 5.64/5.86 <=> $false ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2ENO__EVENT,axiom,
% 5.64/5.86 ! [V0b: $i] :
% 5.64/5.86 ( ( mem @ V0b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1t0: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( p
% 5.64/5.86 @ ( ap
% 5.64/5.86 @ ( ap @ c_2ETemporal__Logic_2EALWAYS
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V2t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0b @ V2t ) ) ) )
% 5.64/5.86 @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) )
% 5.64/5.86 => ( ! [V3a: $i] :
% 5.64/5.86 ( ( mem @ V3a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2EWHEN @ V3a ) @ V0b ) @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) )
% 5.64/5.86 <=> $true ) )
% 5.64/5.86 & ! [V4a: $i] :
% 5.64/5.86 ( ( mem @ V4a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2EUNTIL @ V4a ) @ V0b ) @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) )
% 5.64/5.86 <=> ( p @ ( ap @ ( ap @ c_2ETemporal__Logic_2EALWAYS @ V4a ) @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) ) ) )
% 5.64/5.86 & ! [V5a: $i] :
% 5.64/5.86 ( ( mem @ V5a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2EBEFORE @ V5a ) @ V0b ) @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) )
% 5.64/5.86 <=> $true ) )
% 5.64/5.86 & ! [V6a: $i] :
% 5.64/5.86 ( ( mem @ V6a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESWHEN @ V6a ) @ V0b ) @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) )
% 5.64/5.86 <=> $false ) )
% 5.64/5.86 & ! [V7a: $i] :
% 5.64/5.86 ( ( mem @ V7a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESUNTIL @ V7a ) @ V0b ) @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) )
% 5.64/5.86 <=> $false ) )
% 5.64/5.86 & ! [V8a: $i] :
% 5.64/5.86 ( ( mem @ V8a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESBEFORE @ V8a ) @ V0b ) @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) )
% 5.64/5.86 <=> ( p @ ( ap @ ( ap @ c_2ETemporal__Logic_2EEVENTUAL @ V8a ) @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2ESOME__EVENT,axiom,
% 5.64/5.86 ! [V0b: $i] :
% 5.64/5.86 ( ( mem @ V0b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1t0: tp__ty_2Enum_2Enum] :
% 5.64/5.86 ( ( ( p @ ( ap @ ( ap @ c_2ETemporal__Logic_2EEVENTUAL @ V0b ) @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) )
% 5.64/5.86 <=> ! [V2a: $i] :
% 5.64/5.86 ( ( mem @ V2a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2EWHEN @ V2a ) @ V0b ) @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) )
% 5.64/5.86 <=> ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESWHEN @ V2a ) @ V0b ) @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) ) ) ) )
% 5.64/5.86 & ( ( p @ ( ap @ ( ap @ c_2ETemporal__Logic_2EEVENTUAL @ V0b ) @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) )
% 5.64/5.86 <=> ! [V3a: $i] :
% 5.64/5.86 ( ( mem @ V3a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2EUNTIL @ V3a ) @ V0b ) @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) )
% 5.64/5.86 <=> ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESUNTIL @ V3a ) @ V0b ) @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) ) ) ) )
% 5.64/5.86 & ( ( p @ ( ap @ ( ap @ c_2ETemporal__Logic_2EEVENTUAL @ V0b ) @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) )
% 5.64/5.86 <=> ! [V4a: $i] :
% 5.64/5.86 ( ( mem @ V4a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2EBEFORE @ V4a ) @ V0b ) @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) )
% 5.64/5.86 <=> ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESBEFORE @ V4a ) @ V0b ) @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2EMORE__EVENT,axiom,
% 5.64/5.86 ! [V0a: $i] :
% 5.64/5.86 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1b: $i] :
% 5.64/5.86 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( ( ( ap @ ( ap @ c_2ETemporal__Logic_2EWHEN @ V0a ) @ V1b )
% 5.64/5.86 = ( ap
% 5.64/5.86 @ ( ap @ c_2ETemporal__Logic_2EWHEN
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V2t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V2t ) ) @ ( ap @ V1b @ V2t ) ) ) )
% 5.64/5.86 @ V1b ) )
% 5.64/5.86 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2EUNTIL @ V0a ) @ V1b )
% 5.64/5.86 = ( ap
% 5.64/5.86 @ ( ap @ c_2ETemporal__Logic_2EUNTIL
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V3t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V3t ) ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V1b @ V3t ) ) ) ) )
% 5.64/5.86 @ V1b ) )
% 5.64/5.86 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2EBEFORE @ V0a ) @ V1b )
% 5.64/5.86 = ( ap
% 5.64/5.86 @ ( ap @ c_2ETemporal__Logic_2EBEFORE
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V4t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V4t ) ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V1b @ V4t ) ) ) ) )
% 5.64/5.86 @ V1b ) )
% 5.64/5.86 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2ESWHEN @ V0a ) @ V1b )
% 5.64/5.86 = ( ap
% 5.64/5.86 @ ( ap @ c_2ETemporal__Logic_2ESWHEN
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V5t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V5t ) ) @ ( ap @ V1b @ V5t ) ) ) )
% 5.64/5.86 @ V1b ) )
% 5.64/5.86 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2ESUNTIL @ V0a ) @ V1b )
% 5.64/5.86 = ( ap
% 5.64/5.86 @ ( ap @ c_2ETemporal__Logic_2ESUNTIL
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V6t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V6t ) ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V1b @ V6t ) ) ) ) )
% 5.64/5.86 @ V1b ) )
% 5.64/5.86 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2ESBEFORE @ V0a ) @ V1b )
% 5.64/5.86 = ( ap
% 5.64/5.86 @ ( ap @ c_2ETemporal__Logic_2ESBEFORE
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V7t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V7t ) ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V1b @ V7t ) ) ) ) )
% 5.64/5.86 @ V1b ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2ENOT__NEXT,axiom,
% 5.64/5.86 ! [V0P: $i] :
% 5.64/5.86 ( ( mem @ V0P @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( ( ap @ c_2ETemporal__Logic_2ENEXT
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V1t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0P @ V1t ) ) ) )
% 5.64/5.86 = ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V2t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V0P ) @ V2t ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2EAND__NEXT,axiom,
% 5.64/5.86 ! [V0Q: $i] :
% 5.64/5.86 ( ( mem @ V0Q @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1P: $i] :
% 5.64/5.86 ( ( mem @ V1P @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( ( ap @ c_2ETemporal__Logic_2ENEXT
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V2t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V1P @ V2t ) ) @ ( ap @ V0Q @ V2t ) ) ) )
% 5.64/5.86 = ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V3t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V1P ) @ V3t ) ) @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V0Q ) @ V3t ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2EOR__NEXT,axiom,
% 5.64/5.86 ! [V0Q: $i] :
% 5.64/5.86 ( ( mem @ V0Q @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1P: $i] :
% 5.64/5.86 ( ( mem @ V1P @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( ( ap @ c_2ETemporal__Logic_2ENEXT
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V2t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V1P @ V2t ) ) @ ( ap @ V0Q @ V2t ) ) ) )
% 5.64/5.86 = ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V3t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V1P ) @ V3t ) ) @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V0Q ) @ V3t ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2EIMP__NEXT,axiom,
% 5.64/5.86 ! [V0Q: $i] :
% 5.64/5.86 ( ( mem @ V0Q @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1P: $i] :
% 5.64/5.86 ( ( mem @ V1P @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( ( ap @ c_2ETemporal__Logic_2ENEXT
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V2t: $i] : ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ V1P @ V2t ) ) @ ( ap @ V0Q @ V2t ) ) ) )
% 5.64/5.86 = ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V3t: $i] : ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V1P ) @ V3t ) ) @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V0Q ) @ V3t ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2EEQUIV__NEXT,axiom,
% 5.64/5.86 ! [V0Q: $i] :
% 5.64/5.86 ( ( mem @ V0Q @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1P: $i] :
% 5.64/5.86 ( ( mem @ V1P @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( ( ap @ c_2ETemporal__Logic_2ENEXT
% 5.64/5.86 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V2t: $i] : ( ap @ ( ap @ ( c_2Emin_2E_3D @ bool ) @ ( ap @ V1P @ V2t ) ) @ ( ap @ V0Q @ V2t ) ) ) )
% 5.64/5.86 = ( lam @ ty_2Enum_2Enum
% 5.64/5.86 @ ^ [V3t: $i] : ( ap @ ( ap @ ( c_2Emin_2E_3D @ bool ) @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V1P ) @ V3t ) ) @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V0Q ) @ V3t ) ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2EALWAYS__NEXT,axiom,
% 5.64/5.86 ! [V0a: $i] :
% 5.64/5.86 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( ( ap @ c_2ETemporal__Logic_2ENEXT @ ( ap @ c_2ETemporal__Logic_2EALWAYS @ V0a ) )
% 5.64/5.86 = ( ap @ c_2ETemporal__Logic_2EALWAYS @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V0a ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2EEVENTUAL__NEXT,axiom,
% 5.64/5.86 ! [V0a: $i] :
% 5.64/5.86 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( ( ap @ c_2ETemporal__Logic_2ENEXT @ ( ap @ c_2ETemporal__Logic_2EEVENTUAL @ V0a ) )
% 5.64/5.86 = ( ap @ c_2ETemporal__Logic_2EEVENTUAL @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V0a ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2EWHEN__NEXT,axiom,
% 5.64/5.86 ! [V0a: $i] :
% 5.64/5.86 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1b: $i] :
% 5.64/5.86 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( ( ap @ c_2ETemporal__Logic_2ENEXT @ ( ap @ ( ap @ c_2ETemporal__Logic_2EWHEN @ V0a ) @ V1b ) )
% 5.64/5.86 = ( ap @ ( ap @ c_2ETemporal__Logic_2EWHEN @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V0a ) ) @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V1b ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2EUNTIL__NEXT,axiom,
% 5.64/5.86 ! [V0a: $i] :
% 5.64/5.86 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1b: $i] :
% 5.64/5.86 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( ( ap @ c_2ETemporal__Logic_2ENEXT @ ( ap @ ( ap @ c_2ETemporal__Logic_2EUNTIL @ V0a ) @ V1b ) )
% 5.64/5.86 = ( ap @ ( ap @ c_2ETemporal__Logic_2EUNTIL @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V0a ) ) @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V1b ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2EBEFORE__NEXT,axiom,
% 5.64/5.86 ! [V0a: $i] :
% 5.64/5.86 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ! [V1b: $i] :
% 5.64/5.86 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.86 => ( ( ap @ c_2ETemporal__Logic_2ENEXT @ ( ap @ ( ap @ c_2ETemporal__Logic_2EBEFORE @ V0a ) @ V1b ) )
% 5.64/5.86 = ( ap @ ( ap @ c_2ETemporal__Logic_2EBEFORE @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V0a ) ) @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V1b ) ) ) ) ) ).
% 5.64/5.86
% 5.64/5.86 thf(conj_thm_2ETemporal__Logic_2ESWHEN__NEXT,axiom,
% 5.64/5.87 ! [V0a: $i] :
% 5.64/5.87 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.87 => ! [V1b: $i] :
% 5.64/5.87 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.87 => ( ( ap @ c_2ETemporal__Logic_2ENEXT @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESWHEN @ V0a ) @ V1b ) )
% 5.64/5.87 = ( ap @ ( ap @ c_2ETemporal__Logic_2ESWHEN @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V0a ) ) @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V1b ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2ETemporal__Logic_2ESUNTIL__NEXT,axiom,
% 5.64/5.87 ! [V0a: $i] :
% 5.64/5.87 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.87 => ! [V1b: $i] :
% 5.64/5.87 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.87 => ( ( ap @ c_2ETemporal__Logic_2ENEXT @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESUNTIL @ V0a ) @ V1b ) )
% 5.64/5.87 = ( ap @ ( ap @ c_2ETemporal__Logic_2ESUNTIL @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V0a ) ) @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V1b ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2ETemporal__Logic_2ESBEFORE__NEXT,axiom,
% 5.64/5.87 ! [V0a: $i] :
% 5.64/5.87 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.87 => ! [V1b: $i] :
% 5.64/5.87 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.87 => ( ( ap @ c_2ETemporal__Logic_2ENEXT @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESBEFORE @ V0a ) @ V1b ) )
% 5.64/5.87 = ( ap @ ( ap @ c_2ETemporal__Logic_2ESBEFORE @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V0a ) ) @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V1b ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2ETemporal__Logic_2EALWAYS__REC,axiom,
% 5.64/5.87 ! [V0P: $i] :
% 5.64/5.87 ( ( mem @ V0P @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.87 => ! [V1t0: tp__ty_2Enum_2Enum] :
% 5.64/5.87 ( ( p @ ( ap @ ( ap @ c_2ETemporal__Logic_2EALWAYS @ V0P ) @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) )
% 5.64/5.87 <=> ( ( p @ ( ap @ V0P @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) )
% 5.64/5.87 & ( p @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ ( ap @ c_2ETemporal__Logic_2EALWAYS @ V0P ) ) @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2ETemporal__Logic_2EEVENTUAL__REC,axiom,
% 5.64/5.87 ! [V0P: $i] :
% 5.64/5.87 ( ( mem @ V0P @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.87 => ! [V1t0: tp__ty_2Enum_2Enum] :
% 5.64/5.87 ( ( p @ ( ap @ ( ap @ c_2ETemporal__Logic_2EEVENTUAL @ V0P ) @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) )
% 5.64/5.87 <=> ( ( p @ ( ap @ V0P @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) )
% 5.64/5.87 | ( p @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ ( ap @ c_2ETemporal__Logic_2EEVENTUAL @ V0P ) ) @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2ETemporal__Logic_2EWATCH__REC,axiom,
% 5.64/5.87 ! [V0q: $i] :
% 5.64/5.87 ( ( mem @ V0q @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.87 => ! [V1b: $i] :
% 5.64/5.87 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.87 => ! [V2t0: tp__ty_2Enum_2Enum] :
% 5.64/5.87 ( ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2EWATCH @ V0q ) @ V1b ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) )
% 5.64/5.87 <=> ( ~ ( p @ ( ap @ V0q @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) )
% 5.64/5.87 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ bool ) @ ( ap @ V1b @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ ( ap @ c_2ETemporal__Logic_2EALWAYS @ V0q ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ ( ap @ ( ap @ c_2ETemporal__Logic_2EWATCH @ V0q ) @ V1b ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2ETemporal__Logic_2EWHEN__REC,axiom,
% 5.64/5.87 ! [V0a: $i] :
% 5.64/5.87 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.87 => ! [V1b: $i] :
% 5.64/5.87 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.87 => ! [V2t0: tp__ty_2Enum_2Enum] :
% 5.64/5.87 ( ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2EWHEN @ V0a ) @ V1b ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) )
% 5.64/5.87 <=> ( p @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ bool ) @ ( ap @ V1b @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) @ ( ap @ V0a @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ ( ap @ ( ap @ c_2ETemporal__Logic_2EWHEN @ V0a ) @ V1b ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2ETemporal__Logic_2EUNTIL__REC,axiom,
% 5.64/5.87 ! [V0a: $i] :
% 5.64/5.87 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.87 => ! [V1b: $i] :
% 5.64/5.87 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.87 => ! [V2t0: tp__ty_2Enum_2Enum] :
% 5.64/5.87 ( ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2EUNTIL @ V0a ) @ V1b ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) )
% 5.64/5.87 <=> ( ~ ( p @ ( ap @ V1b @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) )
% 5.64/5.87 => ( ( p @ ( ap @ V0a @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) )
% 5.64/5.87 & ( p @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ ( ap @ ( ap @ c_2ETemporal__Logic_2EUNTIL @ V0a ) @ V1b ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2ETemporal__Logic_2EBEFORE__REC,axiom,
% 5.64/5.87 ! [V0a: $i] :
% 5.64/5.87 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.87 => ! [V1b: $i] :
% 5.64/5.87 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.87 => ! [V2t0: tp__ty_2Enum_2Enum] :
% 5.64/5.87 ( ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2EBEFORE @ V0a ) @ V1b ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) )
% 5.64/5.87 <=> ( ~ ( p @ ( ap @ V1b @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) )
% 5.64/5.87 & ( ( p @ ( ap @ V0a @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) )
% 5.64/5.87 | ( p @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ ( ap @ ( ap @ c_2ETemporal__Logic_2EBEFORE @ V0a ) @ V1b ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2ETemporal__Logic_2ESWHEN__REC,axiom,
% 5.64/5.87 ! [V0a: $i] :
% 5.64/5.87 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.87 => ! [V1b: $i] :
% 5.64/5.87 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.87 => ! [V2t0: tp__ty_2Enum_2Enum] :
% 5.64/5.87 ( ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESWHEN @ V0a ) @ V1b ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) )
% 5.64/5.87 <=> ( p @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ bool ) @ ( ap @ V1b @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) @ ( ap @ V0a @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESWHEN @ V0a ) @ V1b ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2ETemporal__Logic_2ESUNTIL__REC,axiom,
% 5.64/5.87 ! [V0a: $i] :
% 5.64/5.87 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.87 => ! [V1b: $i] :
% 5.64/5.87 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.87 => ! [V2t0: tp__ty_2Enum_2Enum] :
% 5.64/5.87 ( ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESUNTIL @ V0a ) @ V1b ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) )
% 5.64/5.87 <=> ( ~ ( p @ ( ap @ V1b @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) )
% 5.64/5.87 => ( ( p @ ( ap @ V0a @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) )
% 5.64/5.87 & ( p @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESUNTIL @ V0a ) @ V1b ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2ETemporal__Logic_2ESBEFORE__REC,axiom,
% 5.64/5.87 ! [V0a: $i] :
% 5.64/5.87 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.87 => ! [V1b: $i] :
% 5.64/5.87 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.87 => ! [V2t0: tp__ty_2Enum_2Enum] :
% 5.64/5.87 ( ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESBEFORE @ V0a ) @ V1b ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) )
% 5.64/5.87 <=> ( ~ ( p @ ( ap @ V1b @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) )
% 5.64/5.87 & ( ( p @ ( ap @ V0a @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) )
% 5.64/5.87 | ( p @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESBEFORE @ V0a ) @ V1b ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2ETemporal__Logic_2EALWAYS__FIX,axiom,
% 5.64/5.87 ! [V0y: $i] :
% 5.64/5.87 ( ( mem @ V0y @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.87 => ! [V1a: $i] :
% 5.64/5.87 ( ( mem @ V1a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.87 => ( ( V0y
% 5.64/5.87 = ( lam @ ty_2Enum_2Enum
% 5.64/5.87 @ ^ [V2t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V1a @ V2t ) ) @ ( ap @ V0y @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ V2t ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.64/5.87 <=> ( ( V0y
% 5.64/5.87 = ( ap @ c_2ETemporal__Logic_2EALWAYS @ V1a ) )
% 5.64/5.87 | ( V0y
% 5.64/5.87 = ( lam @ ty_2Enum_2Enum
% 5.64/5.87 @ ^ [V3t: $i] : c_2Ebool_2EF ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2ETemporal__Logic_2EEVENTUAL__FIX,axiom,
% 5.64/5.87 ! [V0y: $i] :
% 5.64/5.87 ( ( mem @ V0y @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.87 => ! [V1a: $i] :
% 5.64/5.87 ( ( mem @ V1a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.87 => ( ( V0y
% 5.64/5.87 = ( lam @ ty_2Enum_2Enum
% 5.64/5.87 @ ^ [V2t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V1a @ V2t ) ) @ ( ap @ V0y @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ V2t ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.64/5.87 <=> ( ( V0y
% 5.64/5.87 = ( ap @ c_2ETemporal__Logic_2EEVENTUAL @ V1a ) )
% 5.64/5.87 | ( V0y
% 5.64/5.87 = ( lam @ ty_2Enum_2Enum
% 5.64/5.87 @ ^ [V3t: $i] : c_2Ebool_2ET ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2ETemporal__Logic_2EWHEN__FIX,axiom,
% 5.64/5.87 ! [V0y: $i] :
% 5.64/5.87 ( ( mem @ V0y @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.87 => ! [V1b: $i] :
% 5.64/5.87 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.87 => ! [V2a: $i] :
% 5.64/5.87 ( ( mem @ V2a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.87 => ( ( V0y
% 5.64/5.87 = ( lam @ ty_2Enum_2Enum
% 5.64/5.87 @ ^ [V3t: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ bool ) @ ( ap @ V1b @ V3t ) ) @ ( ap @ V2a @ V3t ) ) @ ( ap @ V0y @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ V3t ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.64/5.87 <=> ( ( V0y
% 5.64/5.87 = ( ap @ ( ap @ c_2ETemporal__Logic_2EWHEN @ V2a ) @ V1b ) )
% 5.64/5.87 | ( V0y
% 5.64/5.87 = ( ap @ ( ap @ c_2ETemporal__Logic_2ESWHEN @ V2a ) @ V1b ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2ETemporal__Logic_2EUNTIL__FIX,axiom,
% 5.64/5.87 ! [V0y: $i] :
% 5.64/5.87 ( ( mem @ V0y @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.87 => ! [V1b: $i] :
% 5.64/5.87 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.87 => ! [V2a: $i] :
% 5.64/5.87 ( ( mem @ V2a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.87 => ( ( V0y
% 5.64/5.87 = ( lam @ ty_2Enum_2Enum
% 5.64/5.87 @ ^ [V3t: $i] : ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V1b @ V3t ) ) ) @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V2a @ V3t ) ) @ ( ap @ V0y @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ V3t ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) )
% 5.64/5.87 <=> ( ( V0y
% 5.64/5.87 = ( ap @ ( ap @ c_2ETemporal__Logic_2EUNTIL @ V2a ) @ V1b ) )
% 5.64/5.87 | ( V0y
% 5.64/5.87 = ( ap @ ( ap @ c_2ETemporal__Logic_2ESUNTIL @ V2a ) @ V1b ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2ETemporal__Logic_2EBEFORE__FIX,axiom,
% 5.64/5.87 ! [V0b: $i] :
% 5.64/5.87 ( ( mem @ V0b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.87 => ! [V1a: $i] :
% 5.64/5.87 ( ( mem @ V1a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.87 => ! [V2y: $i] :
% 5.64/5.87 ( ( mem @ V2y @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.87 => ( ( V2y
% 5.64/5.87 = ( lam @ ty_2Enum_2Enum
% 5.64/5.87 @ ^ [V3t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V0b @ V3t ) ) ) @ ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V1a @ V3t ) ) @ ( ap @ V2y @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ V3t ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) )
% 5.64/5.87 <=> ( ( V2y
% 5.64/5.87 = ( ap @ ( ap @ c_2ETemporal__Logic_2EBEFORE @ V1a ) @ V0b ) )
% 5.64/5.87 | ( V2y
% 5.64/5.87 = ( ap @ ( ap @ c_2ETemporal__Logic_2ESBEFORE @ V1a ) @ V0b ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2ETemporal__Logic_2EWHEN__INVARIANT,axiom,
% 5.64/5.87 ! [V0a: $i] :
% 5.64/5.87 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.87 => ! [V1b: $i] :
% 5.64/5.87 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.87 => ! [V2t0: tp__ty_2Enum_2Enum] :
% 5.64/5.87 ( ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2EWHEN @ V0a ) @ V1b ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) )
% 5.64/5.87 <=> ? [V3J: $i] :
% 5.64/5.87 ( ( mem @ V3J @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.87 & ( p @ ( ap @ V3J @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) )
% 5.64/5.87 & ! [V4t: tp__ty_2Enum_2Enum] :
% 5.64/5.87 ( ( ~ ( p @ ( ap @ V1b @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V4t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) )
% 5.64/5.87 & ( p @ ( ap @ V3J @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V4t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) ) )
% 5.64/5.87 => ( p @ ( ap @ V3J @ ( ap @ c_2Enum_2ESUC @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V4t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) ) ) )
% 5.64/5.87 & ! [V5d: tp__ty_2Enum_2Enum] :
% 5.64/5.87 ( ( ( p @ ( ap @ V1b @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V5d ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) )
% 5.64/5.87 & ( p @ ( ap @ V3J @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V5d ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) ) )
% 5.64/5.87 => ( p @ ( ap @ V0a @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V5d ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2ETemporal__Logic_2EUNTIL__INVARIANT,axiom,
% 5.64/5.87 ! [V0a: $i] :
% 5.64/5.87 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.87 => ! [V1b: $i] :
% 5.64/5.87 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.87 => ! [V2t0: tp__ty_2Enum_2Enum] :
% 5.64/5.87 ( ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2EUNTIL @ V0a ) @ V1b ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) )
% 5.64/5.87 <=> ? [V3J: $i] :
% 5.64/5.87 ( ( mem @ V3J @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.87 & ( p @ ( ap @ V3J @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) )
% 5.64/5.87 & ! [V4t: tp__ty_2Enum_2Enum] :
% 5.64/5.87 ( ( ( p @ ( ap @ V3J @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V4t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) )
% 5.64/5.87 & ~ ( p @ ( ap @ V1b @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V4t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) ) )
% 5.64/5.87 => ( ( p @ ( ap @ V0a @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V4t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) )
% 5.64/5.87 & ( p @ ( ap @ V3J @ ( ap @ c_2Enum_2ESUC @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V4t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2ETemporal__Logic_2EBEFORE__INVARIANT,axiom,
% 5.64/5.87 ! [V0a: $i] :
% 5.64/5.87 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.87 => ! [V1b: $i] :
% 5.64/5.87 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.87 => ! [V2t0: tp__ty_2Enum_2Enum] :
% 5.64/5.87 ( ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2EBEFORE @ V0a ) @ V1b ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) )
% 5.64/5.87 <=> ? [V3J: $i] :
% 5.64/5.87 ( ( mem @ V3J @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.87 & ( p @ ( ap @ V3J @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) )
% 5.64/5.87 & ! [V4t: tp__ty_2Enum_2Enum] :
% 5.64/5.87 ( ( ( p @ ( ap @ V3J @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V4t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) )
% 5.64/5.87 & ~ ( p @ ( ap @ V0a @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V4t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) ) )
% 5.64/5.87 => ( p @ ( ap @ V3J @ ( ap @ c_2Enum_2ESUC @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V4t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) ) ) )
% 5.64/5.87 & ! [V5d: tp__ty_2Enum_2Enum] :
% 5.64/5.87 ( ( p @ ( ap @ V3J @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V5d ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) )
% 5.64/5.87 => ~ ( p @ ( ap @ V1b @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V5d ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2ETemporal__Logic_2EALWAYS__INVARIANT,axiom,
% 5.64/5.87 ! [V0a: $i] :
% 5.64/5.87 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.87 => ! [V1t0: tp__ty_2Enum_2Enum] :
% 5.64/5.87 ( ( p @ ( ap @ ( ap @ c_2ETemporal__Logic_2EALWAYS @ V0a ) @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) )
% 5.64/5.87 <=> ? [V2J: $i] :
% 5.64/5.87 ( ( mem @ V2J @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.87 & ( p @ ( ap @ V2J @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) )
% 5.64/5.87 & ! [V3t: tp__ty_2Enum_2Enum] :
% 5.64/5.87 ( ( p @ ( ap @ V2J @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V3t ) ) @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) ) )
% 5.64/5.87 => ( ( p @ ( ap @ V0a @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V3t ) ) @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) ) )
% 5.64/5.87 & ( p @ ( ap @ V2J @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V3t ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2ETemporal__Logic_2EEVENTUAL__INVARIANT,axiom,
% 5.64/5.87 ! [V0b: $i] :
% 5.64/5.87 ( ( mem @ V0b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.87 => ! [V1t0: tp__ty_2Enum_2Enum] :
% 5.64/5.87 ( ( p @ ( ap @ ( ap @ c_2ETemporal__Logic_2EEVENTUAL @ V0b ) @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) )
% 5.64/5.87 <=> ? [V2J: $i] :
% 5.64/5.87 ( ( mem @ V2J @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.64/5.87 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ V2J @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) ) )
% 5.64/5.87 & ! [V3t: tp__ty_2Enum_2Enum] :
% 5.64/5.87 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ V2J @ ( ap @ c_2Enum_2ESUC @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V3t ) ) @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) ) ) ) @ ( ap @ V2J @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V3t ) ) @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) ) ) )
% 5.64/5.87 | ( ( surj__ty_2Enum_2Enum @ ( ap @ V2J @ ( ap @ c_2Enum_2ESUC @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V3t ) ) @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) ) ) )
% 5.64/5.87 = fo__c_2Enum_2E0 ) )
% 5.64/5.87 & ! [V4t: tp__ty_2Enum_2Enum] :
% 5.64/5.87 ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ V2J @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V4t ) ) @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) ) ) )
% 5.64/5.87 & ( ( surj__ty_2Enum_2Enum @ ( ap @ V2J @ ( ap @ c_2Enum_2ESUC @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V4t ) ) @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) ) ) )
% 5.64/5.87 = fo__c_2Enum_2E0 ) )
% 5.64/5.87 => ( p @ ( ap @ V0b @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V4t ) ) @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2ETemporal__Logic_2ESWHEN__INVARIANT,axiom,
% 5.64/5.87 ! [V0a: $i] :
% 5.64/5.87 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.87 => ! [V1b: $i] :
% 5.64/5.87 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.87 => ! [V2t0: tp__ty_2Enum_2Enum] :
% 5.64/5.87 ( ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESWHEN @ V0a ) @ V1b ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) )
% 5.64/5.87 <=> ( ? [V3J1: $i] :
% 5.64/5.87 ( ( mem @ V3J1 @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.87 & ( p @ ( ap @ V3J1 @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) )
% 5.64/5.87 & ! [V4t: tp__ty_2Enum_2Enum] :
% 5.64/5.87 ( ( ~ ( p @ ( ap @ V1b @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V4t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) )
% 5.64/5.87 & ( p @ ( ap @ V3J1 @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V4t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) ) )
% 5.64/5.87 => ( p @ ( ap @ V3J1 @ ( ap @ c_2Enum_2ESUC @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V4t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) ) ) )
% 5.64/5.87 & ! [V5d: tp__ty_2Enum_2Enum] :
% 5.64/5.87 ( ( ( p @ ( ap @ V1b @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V5d ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) )
% 5.64/5.87 & ( p @ ( ap @ V3J1 @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V5d ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) ) )
% 5.64/5.87 => ( p @ ( ap @ V0a @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V5d ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) ) ) )
% 5.64/5.87 & ? [V6J2: $i] :
% 5.64/5.87 ( ( mem @ V6J2 @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.64/5.87 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ V6J2 @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) )
% 5.64/5.87 & ! [V7t: tp__ty_2Enum_2Enum] :
% 5.64/5.87 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ V6J2 @ ( ap @ c_2Enum_2ESUC @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V7t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) ) ) @ ( ap @ V6J2 @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V7t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) ) )
% 5.64/5.87 | ( ( surj__ty_2Enum_2Enum @ ( ap @ V6J2 @ ( ap @ c_2Enum_2ESUC @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V7t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) ) )
% 5.64/5.87 = fo__c_2Enum_2E0 ) )
% 5.64/5.87 & ! [V8t: tp__ty_2Enum_2Enum] :
% 5.64/5.87 ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ V6J2 @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V8t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) ) )
% 5.64/5.87 & ( ( surj__ty_2Enum_2Enum @ ( ap @ V6J2 @ ( ap @ c_2Enum_2ESUC @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V8t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) ) )
% 5.64/5.87 = fo__c_2Enum_2E0 ) )
% 5.64/5.87 => ( p @ ( ap @ V1b @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V8t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2ETemporal__Logic_2ESUNTIL__INVARIANT,axiom,
% 5.64/5.87 ! [V0a: $i] :
% 5.64/5.87 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.87 => ! [V1b: $i] :
% 5.64/5.87 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.87 => ! [V2t0: tp__ty_2Enum_2Enum] :
% 5.64/5.87 ( ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESUNTIL @ V0a ) @ V1b ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) )
% 5.64/5.87 <=> ( ? [V3J1: $i] :
% 5.64/5.87 ( ( mem @ V3J1 @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.87 & ( p @ ( ap @ V3J1 @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) )
% 5.64/5.87 & ! [V4t: tp__ty_2Enum_2Enum] :
% 5.64/5.87 ( ( ( p @ ( ap @ V3J1 @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V4t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) )
% 5.64/5.87 & ~ ( p @ ( ap @ V1b @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V4t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) ) )
% 5.64/5.87 => ( ( p @ ( ap @ V0a @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V4t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) )
% 5.64/5.87 & ( p @ ( ap @ V3J1 @ ( ap @ c_2Enum_2ESUC @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V4t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) ) ) ) ) )
% 5.64/5.87 & ? [V5J2: $i] :
% 5.64/5.87 ( ( mem @ V5J2 @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.64/5.87 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ V5J2 @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) )
% 5.64/5.87 & ! [V6t: tp__ty_2Enum_2Enum] :
% 5.64/5.87 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ V5J2 @ ( ap @ c_2Enum_2ESUC @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V6t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) ) ) @ ( ap @ V5J2 @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V6t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) ) )
% 5.64/5.87 | ( ( surj__ty_2Enum_2Enum @ ( ap @ V5J2 @ ( ap @ c_2Enum_2ESUC @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V6t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) ) )
% 5.64/5.87 = fo__c_2Enum_2E0 ) )
% 5.64/5.87 & ! [V7t: tp__ty_2Enum_2Enum] :
% 5.64/5.87 ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ V5J2 @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V7t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) ) )
% 5.64/5.87 & ( ( surj__ty_2Enum_2Enum @ ( ap @ V5J2 @ ( ap @ c_2Enum_2ESUC @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V7t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) ) )
% 5.64/5.87 = fo__c_2Enum_2E0 ) )
% 5.64/5.87 => ( p @ ( ap @ V1b @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V7t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2ETemporal__Logic_2ESBEFORE__INVARIANT,axiom,
% 5.64/5.87 ! [V0a: $i] :
% 5.64/5.87 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.87 => ! [V1b: $i] :
% 5.64/5.87 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.87 => ! [V2t0: tp__ty_2Enum_2Enum] :
% 5.64/5.87 ( ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESBEFORE @ V0a ) @ V1b ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) )
% 5.64/5.87 <=> ( ? [V3J1: $i] :
% 5.64/5.87 ( ( mem @ V3J1 @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.87 & ( p @ ( ap @ V3J1 @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) )
% 5.64/5.87 & ! [V4t: tp__ty_2Enum_2Enum] :
% 5.64/5.87 ( ( ( p @ ( ap @ V3J1 @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V4t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) )
% 5.64/5.87 & ~ ( p @ ( ap @ V0a @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V4t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) ) )
% 5.64/5.87 => ( p @ ( ap @ V3J1 @ ( ap @ c_2Enum_2ESUC @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V4t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) ) ) )
% 5.64/5.87 & ! [V5d: tp__ty_2Enum_2Enum] :
% 5.64/5.87 ( ( p @ ( ap @ V3J1 @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V5d ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) )
% 5.64/5.87 => ~ ( p @ ( ap @ V1b @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V5d ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) ) ) )
% 5.64/5.87 & ? [V6J2: $i] :
% 5.64/5.87 ( ( mem @ V6J2 @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.64/5.87 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ V6J2 @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) )
% 5.64/5.87 & ! [V7t: tp__ty_2Enum_2Enum] :
% 5.64/5.87 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ V6J2 @ ( ap @ c_2Enum_2ESUC @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V7t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) ) ) @ ( ap @ V6J2 @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V7t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) ) )
% 5.64/5.87 | ( ( surj__ty_2Enum_2Enum @ ( ap @ V6J2 @ ( ap @ c_2Enum_2ESUC @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V7t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) ) )
% 5.64/5.87 = fo__c_2Enum_2E0 ) )
% 5.64/5.87 & ! [V8t: tp__ty_2Enum_2Enum] :
% 5.64/5.87 ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ V6J2 @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V8t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) ) )
% 5.64/5.87 & ( ( surj__ty_2Enum_2Enum @ ( ap @ V6J2 @ ( ap @ c_2Enum_2ESUC @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V8t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) ) )
% 5.64/5.87 = fo__c_2Enum_2E0 ) )
% 5.64/5.87 => ( p @ ( ap @ V0a @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V8t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2ETemporal__Logic_2EALWAYS__IDEM,axiom,
% 5.64/5.87 ! [V0a: $i] :
% 5.64/5.87 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.87 => ( ( ap @ c_2ETemporal__Logic_2EALWAYS @ V0a )
% 5.64/5.87 = ( ap @ c_2ETemporal__Logic_2EALWAYS @ ( ap @ c_2ETemporal__Logic_2EALWAYS @ V0a ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2ETemporal__Logic_2EEVENTUAL__IDEM,axiom,
% 5.64/5.87 ! [V0a: $i] :
% 5.64/5.87 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.87 => ( ( ap @ c_2ETemporal__Logic_2EEVENTUAL @ V0a )
% 5.64/5.87 = ( ap @ c_2ETemporal__Logic_2EEVENTUAL @ ( ap @ c_2ETemporal__Logic_2EEVENTUAL @ V0a ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2ETemporal__Logic_2EWHEN__IDEM,axiom,
% 5.64/5.87 ! [V0a: $i] :
% 5.64/5.87 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.87 => ! [V1b: $i] :
% 5.64/5.87 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.87 => ( ( ap @ ( ap @ c_2ETemporal__Logic_2EWHEN @ V0a ) @ V1b )
% 5.64/5.87 = ( ap @ ( ap @ c_2ETemporal__Logic_2EWHEN @ ( ap @ ( ap @ c_2ETemporal__Logic_2EWHEN @ V0a ) @ V1b ) ) @ V1b ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2ETemporal__Logic_2EUNTIL__IDEM,axiom,
% 5.64/5.87 ! [V0a: $i] :
% 5.64/5.87 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.87 => ! [V1b: $i] :
% 5.64/5.87 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.87 => ( ( ap @ ( ap @ c_2ETemporal__Logic_2EUNTIL @ V0a ) @ V1b )
% 5.64/5.87 = ( ap @ ( ap @ c_2ETemporal__Logic_2EUNTIL @ ( ap @ ( ap @ c_2ETemporal__Logic_2EUNTIL @ V0a ) @ V1b ) ) @ V1b ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2ETemporal__Logic_2EBEFORE__IDEM,axiom,
% 5.64/5.87 ! [V0a: $i] :
% 5.64/5.87 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.87 => ! [V1b: $i] :
% 5.64/5.87 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.87 => ( ( ap @ ( ap @ c_2ETemporal__Logic_2EBEFORE @ V0a ) @ V1b )
% 5.64/5.87 = ( ap @ ( ap @ c_2ETemporal__Logic_2EBEFORE @ ( ap @ ( ap @ c_2ETemporal__Logic_2EBEFORE @ V0a ) @ V1b ) ) @ V1b ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2ETemporal__Logic_2ESWHEN__IDEM,axiom,
% 5.64/5.87 ! [V0a: $i] :
% 5.64/5.87 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.87 => ! [V1b: $i] :
% 5.64/5.87 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.87 => ( ( ap @ ( ap @ c_2ETemporal__Logic_2ESWHEN @ V0a ) @ V1b )
% 5.64/5.87 = ( ap @ ( ap @ c_2ETemporal__Logic_2ESWHEN @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESWHEN @ V0a ) @ V1b ) ) @ V1b ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2ETemporal__Logic_2ESUNTIL__IDEM,axiom,
% 5.64/5.87 ! [V0a: $i] :
% 5.64/5.87 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.87 => ! [V1b: $i] :
% 5.64/5.87 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.87 => ( ( ap @ ( ap @ c_2ETemporal__Logic_2ESUNTIL @ V0a ) @ V1b )
% 5.64/5.87 = ( ap @ ( ap @ c_2ETemporal__Logic_2ESUNTIL @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESUNTIL @ V0a ) @ V1b ) ) @ V1b ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2ETemporal__Logic_2ESBEFORE__IDEM,axiom,
% 5.64/5.87 ! [V0a: $i] :
% 5.64/5.87 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.87 => ! [V1b: $i] :
% 5.64/5.87 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.87 => ( ( ap @ ( ap @ c_2ETemporal__Logic_2ESBEFORE @ V0a ) @ V1b )
% 5.64/5.87 = ( ap @ ( ap @ c_2ETemporal__Logic_2ESBEFORE @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESBEFORE @ V0a ) @ V1b ) ) @ V1b ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2ETemporal__Logic_2ENOT__ALWAYS,axiom,
% 5.64/5.87 ! [V0a: $i] :
% 5.64/5.87 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.87 => ! [V1t0: tp__ty_2Enum_2Enum] :
% 5.64/5.87 ( ~ ( p @ ( ap @ ( ap @ c_2ETemporal__Logic_2EALWAYS @ V0a ) @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) )
% 5.64/5.87 <=> ( p
% 5.64/5.87 @ ( ap
% 5.64/5.87 @ ( ap @ c_2ETemporal__Logic_2EEVENTUAL
% 5.64/5.87 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.87 @ ^ [V2t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V2t ) ) ) )
% 5.64/5.87 @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2ETemporal__Logic_2ENOT__EVENTUAL,axiom,
% 5.64/5.87 ! [V0a: $i] :
% 5.64/5.87 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.87 => ! [V1t0: tp__ty_2Enum_2Enum] :
% 5.64/5.87 ( ~ ( p @ ( ap @ ( ap @ c_2ETemporal__Logic_2EEVENTUAL @ V0a ) @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) )
% 5.64/5.87 <=> ( p
% 5.64/5.87 @ ( ap
% 5.64/5.87 @ ( ap @ c_2ETemporal__Logic_2EALWAYS
% 5.64/5.87 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.87 @ ^ [V2t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V2t ) ) ) )
% 5.64/5.87 @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2ETemporal__Logic_2ENOT__WHEN,axiom,
% 5.64/5.87 ! [V0a: $i] :
% 5.64/5.87 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.87 => ! [V1b: $i] :
% 5.64/5.87 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.87 => ! [V2t0: tp__ty_2Enum_2Enum] :
% 5.64/5.87 ( ~ ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2EWHEN @ V0a ) @ V1b ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) )
% 5.64/5.87 <=> ( p
% 5.64/5.87 @ ( ap
% 5.64/5.87 @ ( ap
% 5.64/5.87 @ ( ap @ c_2ETemporal__Logic_2ESWHEN
% 5.64/5.87 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.87 @ ^ [V3t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V3t ) ) ) )
% 5.64/5.87 @ V1b )
% 5.64/5.87 @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2ETemporal__Logic_2ENOT__UNTIL,axiom,
% 5.64/5.87 ! [V0a: $i] :
% 5.64/5.87 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.87 => ! [V1b: $i] :
% 5.64/5.87 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.87 => ! [V2t0: tp__ty_2Enum_2Enum] :
% 5.64/5.87 ( ~ ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2EUNTIL @ V0a ) @ V1b ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) )
% 5.64/5.87 <=> ( p
% 5.64/5.87 @ ( ap
% 5.64/5.87 @ ( ap
% 5.64/5.87 @ ( ap @ c_2ETemporal__Logic_2ESBEFORE
% 5.64/5.87 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.87 @ ^ [V3t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V3t ) ) ) )
% 5.64/5.87 @ V1b )
% 5.64/5.87 @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2ETemporal__Logic_2ENOT__BEFORE,axiom,
% 5.64/5.87 ! [V0a: $i] :
% 5.64/5.87 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.87 => ! [V1b: $i] :
% 5.64/5.87 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.87 => ! [V2t0: tp__ty_2Enum_2Enum] :
% 5.64/5.87 ( ~ ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2EBEFORE @ V0a ) @ V1b ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) )
% 5.64/5.87 <=> ( p
% 5.64/5.87 @ ( ap
% 5.64/5.87 @ ( ap
% 5.64/5.87 @ ( ap @ c_2ETemporal__Logic_2ESUNTIL
% 5.64/5.87 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.87 @ ^ [V3t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V3t ) ) ) )
% 5.64/5.87 @ V1b )
% 5.64/5.87 @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2ETemporal__Logic_2ENOT__SWHEN,axiom,
% 5.64/5.87 ! [V0a: $i] :
% 5.64/5.87 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.87 => ! [V1b: $i] :
% 5.64/5.87 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.87 => ! [V2t0: tp__ty_2Enum_2Enum] :
% 5.64/5.87 ( ~ ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESWHEN @ V0a ) @ V1b ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) )
% 5.64/5.87 <=> ( p
% 5.64/5.87 @ ( ap
% 5.64/5.87 @ ( ap
% 5.64/5.87 @ ( ap @ c_2ETemporal__Logic_2EWHEN
% 5.64/5.87 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.87 @ ^ [V3t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V3t ) ) ) )
% 5.64/5.87 @ V1b )
% 5.64/5.87 @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2ETemporal__Logic_2ENOT__SUNTIL,axiom,
% 5.64/5.87 ! [V0a: $i] :
% 5.64/5.87 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.87 => ! [V1b: $i] :
% 5.64/5.87 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.87 => ! [V2t0: tp__ty_2Enum_2Enum] :
% 5.64/5.87 ( ~ ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESUNTIL @ V0a ) @ V1b ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) )
% 5.64/5.87 <=> ( p
% 5.64/5.87 @ ( ap
% 5.64/5.87 @ ( ap
% 5.64/5.87 @ ( ap @ c_2ETemporal__Logic_2EBEFORE
% 5.64/5.87 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.87 @ ^ [V3t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V3t ) ) ) )
% 5.64/5.87 @ V1b )
% 5.64/5.87 @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2ETemporal__Logic_2ENOT__SBEFORE,axiom,
% 5.64/5.87 ! [V0a: $i] :
% 5.64/5.87 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.87 => ! [V1b: $i] :
% 5.64/5.87 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.87 => ! [V2t0: tp__ty_2Enum_2Enum] :
% 5.64/5.87 ( ~ ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESBEFORE @ V0a ) @ V1b ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) )
% 5.64/5.87 <=> ( p
% 5.64/5.87 @ ( ap
% 5.64/5.87 @ ( ap
% 5.64/5.87 @ ( ap @ c_2ETemporal__Logic_2EUNTIL
% 5.64/5.87 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.87 @ ^ [V3t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V3t ) ) ) )
% 5.64/5.87 @ V1b )
% 5.64/5.87 @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 %------------------------------------------------------------------------------
% 5.64/5.87 %------------------------------------------------------------------------------
% 5.64/5.87 thf(tp_c_2EreaderMonad_2EBIND,type,
% 5.64/5.87 c_2EreaderMonad_2EBIND: del > del > del > $i ).
% 5.64/5.87
% 5.64/5.87 thf(mem_c_2EreaderMonad_2EBIND,axiom,
% 5.64/5.87 ! [A_27a: del,A_27b: del,A_27s: del] : ( mem @ ( c_2EreaderMonad_2EBIND @ A_27a @ A_27b @ A_27s ) @ ( arr @ ( arr @ A_27s @ A_27a ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27s @ A_27b ) ) @ ( arr @ A_27s @ A_27b ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(tp_c_2EreaderMonad_2EFMAP,type,
% 5.64/5.87 c_2EreaderMonad_2EFMAP: del > del > del > $i ).
% 5.64/5.87
% 5.64/5.87 thf(mem_c_2EreaderMonad_2EFMAP,axiom,
% 5.64/5.87 ! [A_27a: del,A_27b: del,A_27s: del] : ( mem @ ( c_2EreaderMonad_2EFMAP @ A_27a @ A_27b @ A_27s ) @ ( arr @ ( arr @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27s @ A_27a ) @ ( arr @ A_27s @ A_27b ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(tp_c_2EreaderMonad_2EJOIN,type,
% 5.64/5.87 c_2EreaderMonad_2EJOIN: del > del > $i ).
% 5.64/5.87
% 5.64/5.87 thf(mem_c_2EreaderMonad_2EJOIN,axiom,
% 5.64/5.87 ! [A_27a: del,A_27s: del] : ( mem @ ( c_2EreaderMonad_2EJOIN @ A_27a @ A_27s ) @ ( arr @ ( arr @ A_27s @ ( arr @ A_27s @ A_27a ) ) @ ( arr @ A_27s @ A_27a ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(tp_c_2EreaderMonad_2EMCOMPOSE,type,
% 5.64/5.87 c_2EreaderMonad_2EMCOMPOSE: del > del > del > del > $i ).
% 5.64/5.87
% 5.64/5.87 thf(mem_c_2EreaderMonad_2EMCOMPOSE,axiom,
% 5.64/5.87 ! [A_27a: del,A_27b: del,A_27c: del,A_27s: del] : ( mem @ ( c_2EreaderMonad_2EMCOMPOSE @ A_27a @ A_27b @ A_27c @ A_27s ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27s @ A_27b ) ) @ ( arr @ ( arr @ A_27b @ ( arr @ A_27s @ A_27c ) ) @ ( arr @ A_27a @ ( arr @ A_27s @ A_27c ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(tp_c_2EreaderMonad_2EUNIT,type,
% 5.64/5.87 c_2EreaderMonad_2EUNIT: del > del > $i ).
% 5.64/5.87
% 5.64/5.87 thf(mem_c_2EreaderMonad_2EUNIT,axiom,
% 5.64/5.87 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2EreaderMonad_2EUNIT @ A_27a @ A_27b ) @ ( arr @ A_27a @ ( arr @ A_27b @ A_27a ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(ax_thm_2EreaderMonad_2EBIND__def,axiom,
% 5.64/5.87 ! [A_27a: del,A_27b: del,A_27s: del,V0M: $i] :
% 5.64/5.87 ( ( mem @ V0M @ ( arr @ A_27s @ A_27a ) )
% 5.64/5.87 => ! [V1f: $i] :
% 5.64/5.87 ( ( mem @ V1f @ ( arr @ A_27a @ ( arr @ A_27s @ A_27b ) ) )
% 5.64/5.87 => ! [V2s: $i] :
% 5.64/5.87 ( ( mem @ V2s @ A_27s )
% 5.64/5.87 => ( ( ap @ ( ap @ ( ap @ ( c_2EreaderMonad_2EBIND @ A_27a @ A_27b @ A_27s ) @ V0M ) @ V1f ) @ V2s )
% 5.64/5.87 = ( ap @ ( ap @ V1f @ ( ap @ V0M @ V2s ) ) @ V2s ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(ax_thm_2EreaderMonad_2EUNIT__def,axiom,
% 5.64/5.87 ! [A_27a: del,A_27b: del,V0x: $i] :
% 5.64/5.87 ( ( mem @ V0x @ A_27a )
% 5.64/5.87 => ! [V1s: $i] :
% 5.64/5.87 ( ( mem @ V1s @ A_27b )
% 5.64/5.87 => ( ( ap @ ( ap @ ( c_2EreaderMonad_2EUNIT @ A_27a @ A_27b ) @ V0x ) @ V1s )
% 5.64/5.87 = V0x ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(ax_thm_2EreaderMonad_2EMCOMPOSE__def,axiom,
% 5.64/5.87 ! [A_27a: del,A_27b: del,A_27c: del,A_27s: del,V0f1: $i] :
% 5.64/5.87 ( ( mem @ V0f1 @ ( arr @ A_27a @ ( arr @ A_27s @ A_27b ) ) )
% 5.64/5.87 => ! [V1f2: $i] :
% 5.64/5.87 ( ( mem @ V1f2 @ ( arr @ A_27b @ ( arr @ A_27s @ A_27c ) ) )
% 5.64/5.87 => ! [V2a: $i] :
% 5.64/5.87 ( ( mem @ V2a @ A_27a )
% 5.64/5.87 => ( ( ap @ ( ap @ ( ap @ ( c_2EreaderMonad_2EMCOMPOSE @ A_27a @ A_27b @ A_27c @ A_27s ) @ V0f1 ) @ V1f2 ) @ V2a )
% 5.64/5.87 = ( ap @ ( ap @ ( c_2EreaderMonad_2EBIND @ A_27b @ A_27c @ A_27s ) @ ( ap @ V0f1 @ V2a ) ) @ V1f2 ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2EreaderMonad_2EBIND__UNITR,axiom,
% 5.64/5.87 ! [A_27a: del,A_27b: del,V0m: $i] :
% 5.64/5.87 ( ( mem @ V0m @ ( arr @ A_27a @ A_27b ) )
% 5.64/5.87 => ( ( ap @ ( ap @ ( c_2EreaderMonad_2EBIND @ A_27b @ A_27b @ A_27a ) @ V0m ) @ ( c_2EreaderMonad_2EUNIT @ A_27b @ A_27a ) )
% 5.64/5.87 = V0m ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2EreaderMonad_2EBIND__UNITL,axiom,
% 5.64/5.87 ! [A_27a: del,A_27b: del,A_27c: del,V0x: $i] :
% 5.64/5.87 ( ( mem @ V0x @ A_27c )
% 5.64/5.87 => ! [V1f: $i] :
% 5.64/5.87 ( ( mem @ V1f @ ( arr @ A_27c @ ( arr @ A_27a @ A_27b ) ) )
% 5.64/5.87 => ( ( ap @ ( ap @ ( c_2EreaderMonad_2EBIND @ A_27c @ A_27b @ A_27a ) @ ( ap @ ( c_2EreaderMonad_2EUNIT @ A_27c @ A_27a ) @ V0x ) ) @ V1f )
% 5.64/5.87 = ( ap @ V1f @ V0x ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2EreaderMonad_2EMCOMPOSE__LEFT__ID,axiom,
% 5.64/5.87 ! [A_27a: del,A_27b: del,A_27c: del,V0g: $i] :
% 5.64/5.87 ( ( mem @ V0g @ ( arr @ A_27a @ ( arr @ A_27b @ A_27c ) ) )
% 5.64/5.87 => ( ( ap @ ( ap @ ( c_2EreaderMonad_2EMCOMPOSE @ A_27a @ A_27a @ A_27c @ A_27b ) @ ( c_2EreaderMonad_2EUNIT @ A_27a @ A_27b ) ) @ V0g )
% 5.64/5.87 = V0g ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2EreaderMonad_2EMCOMPOSE__RIGHT__ID,axiom,
% 5.64/5.87 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.64/5.87 ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27b @ A_27c ) ) )
% 5.64/5.87 => ( ( ap @ ( ap @ ( c_2EreaderMonad_2EMCOMPOSE @ A_27a @ A_27c @ A_27c @ A_27b ) @ V0f ) @ ( c_2EreaderMonad_2EUNIT @ A_27c @ A_27b ) )
% 5.64/5.87 = V0f ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2EreaderMonad_2EMCOMPOSE__ASSOC,axiom,
% 5.64/5.87 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,A_27e: del,V0f: $i] :
% 5.64/5.87 ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27b @ A_27d ) ) )
% 5.64/5.87 => ! [V1g: $i] :
% 5.64/5.87 ( ( mem @ V1g @ ( arr @ A_27d @ ( arr @ A_27b @ A_27e ) ) )
% 5.64/5.87 => ! [V2h: $i] :
% 5.64/5.87 ( ( mem @ V2h @ ( arr @ A_27e @ ( arr @ A_27b @ A_27c ) ) )
% 5.64/5.87 => ( ( ap @ ( ap @ ( c_2EreaderMonad_2EMCOMPOSE @ A_27a @ A_27d @ A_27c @ A_27b ) @ V0f ) @ ( ap @ ( ap @ ( c_2EreaderMonad_2EMCOMPOSE @ A_27d @ A_27e @ A_27c @ A_27b ) @ V1g ) @ V2h ) )
% 5.64/5.87 = ( ap @ ( ap @ ( c_2EreaderMonad_2EMCOMPOSE @ A_27a @ A_27e @ A_27c @ A_27b ) @ ( ap @ ( ap @ ( c_2EreaderMonad_2EMCOMPOSE @ A_27a @ A_27d @ A_27e @ A_27b ) @ V0f ) @ V1g ) ) @ V2h ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(ax_thm_2EreaderMonad_2EFMAP__def,axiom,
% 5.64/5.87 ! [A_27a: del,A_27b: del,A_27s: del,V0f: $i] :
% 5.64/5.87 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.64/5.87 => ! [V1M1: $i] :
% 5.64/5.87 ( ( mem @ V1M1 @ ( arr @ A_27s @ A_27a ) )
% 5.64/5.87 => ( ( ap @ ( ap @ ( c_2EreaderMonad_2EFMAP @ A_27a @ A_27b @ A_27s ) @ V0f ) @ V1M1 )
% 5.64/5.87 = ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27s @ A_27b @ A_27a ) @ V0f ) @ V1M1 ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2EreaderMonad_2EFMAP__ID,axiom,
% 5.64/5.87 ! [A_27a: del,A_27b: del,V0M: $i] :
% 5.64/5.87 ( ( mem @ V0M @ ( arr @ A_27a @ A_27b ) )
% 5.64/5.87 => ( ( ( ap
% 5.64/5.87 @ ( ap @ ( c_2EreaderMonad_2EFMAP @ A_27b @ A_27b @ A_27a )
% 5.64/5.87 @ ( lam @ A_27b
% 5.64/5.87 @ ^ [V1x: $i] : V1x ) )
% 5.64/5.87 @ V0M )
% 5.64/5.87 = V0M )
% 5.64/5.87 & ( ( ap @ ( ap @ ( c_2EreaderMonad_2EFMAP @ A_27b @ A_27b @ A_27a ) @ ( c_2Ecombin_2EI @ A_27b ) ) @ V0M )
% 5.64/5.87 = V0M ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2EreaderMonad_2EFMAP__o,axiom,
% 5.64/5.87 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0f: $i] :
% 5.64/5.87 ( ( mem @ V0f @ ( arr @ A_27d @ A_27c ) )
% 5.64/5.87 => ! [V1g: $i] :
% 5.64/5.87 ( ( mem @ V1g @ ( arr @ A_27b @ A_27d ) )
% 5.64/5.87 => ( ( ap @ ( c_2EreaderMonad_2EFMAP @ A_27b @ A_27c @ A_27a ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ A_27c @ A_27d ) @ V0f ) @ V1g ) )
% 5.64/5.87 = ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( arr @ A_27a @ A_27b ) @ ( arr @ A_27a @ A_27c ) @ ( arr @ A_27a @ A_27d ) ) @ ( ap @ ( c_2EreaderMonad_2EFMAP @ A_27d @ A_27c @ A_27a ) @ V0f ) ) @ ( ap @ ( c_2EreaderMonad_2EFMAP @ A_27b @ A_27d @ A_27a ) @ V1g ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2EreaderMonad_2EFMAP__BIND,axiom,
% 5.64/5.87 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.64/5.87 ( ( mem @ V0f @ ( arr @ A_27c @ A_27b ) )
% 5.64/5.87 => ! [V1M: $i] :
% 5.64/5.87 ( ( mem @ V1M @ ( arr @ A_27a @ A_27c ) )
% 5.64/5.87 => ( ( ap @ ( ap @ ( c_2EreaderMonad_2EFMAP @ A_27c @ A_27b @ A_27a ) @ V0f ) @ V1M )
% 5.64/5.87 = ( ap @ ( ap @ ( c_2EreaderMonad_2EBIND @ A_27c @ A_27b @ A_27a ) @ V1M ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27c @ ( arr @ A_27a @ A_27b ) @ A_27b ) @ ( c_2EreaderMonad_2EUNIT @ A_27b @ A_27a ) ) @ V0f ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(ax_thm_2EreaderMonad_2EJOIN__def,axiom,
% 5.64/5.87 ! [A_27a: del,A_27s: del,V0MM: $i] :
% 5.64/5.87 ( ( mem @ V0MM @ ( arr @ A_27s @ ( arr @ A_27s @ A_27a ) ) )
% 5.64/5.87 => ! [V1s: $i] :
% 5.64/5.87 ( ( mem @ V1s @ A_27s )
% 5.64/5.87 => ( ( ap @ ( ap @ ( c_2EreaderMonad_2EJOIN @ A_27a @ A_27s ) @ V0MM ) @ V1s )
% 5.64/5.87 = ( ap @ ( ap @ V0MM @ V1s ) @ V1s ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2EreaderMonad_2EBIND__JOIN,axiom,
% 5.64/5.87 ! [A_27a: del,A_27b: del,A_27c: del,V0M: $i] :
% 5.64/5.87 ( ( mem @ V0M @ ( arr @ A_27a @ A_27c ) )
% 5.64/5.87 => ! [V1f: $i] :
% 5.64/5.87 ( ( mem @ V1f @ ( arr @ A_27c @ ( arr @ A_27a @ A_27b ) ) )
% 5.64/5.87 => ( ( ap @ ( ap @ ( c_2EreaderMonad_2EBIND @ A_27c @ A_27b @ A_27a ) @ V0M ) @ V1f )
% 5.64/5.87 = ( ap @ ( c_2EreaderMonad_2EJOIN @ A_27b @ A_27a ) @ ( ap @ ( ap @ ( c_2EreaderMonad_2EFMAP @ A_27c @ ( arr @ A_27a @ A_27b ) @ A_27a ) @ V1f ) @ V0M ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2EreaderMonad_2EJOIN__BIND,axiom,
% 5.64/5.87 ! [A_27a: del,A_27b: del,V0M: $i] :
% 5.64/5.87 ( ( mem @ V0M @ ( arr @ A_27a @ ( arr @ A_27a @ A_27b ) ) )
% 5.64/5.87 => ( ( ap @ ( c_2EreaderMonad_2EJOIN @ A_27b @ A_27a ) @ V0M )
% 5.64/5.87 = ( ap @ ( ap @ ( c_2EreaderMonad_2EBIND @ ( arr @ A_27a @ A_27b ) @ A_27b @ A_27a ) @ V0M ) @ ( c_2Ecombin_2EI @ ( arr @ A_27a @ A_27b ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 %------------------------------------------------------------------------------
% 5.64/5.87 %------------------------------------------------------------------------------
% 5.64/5.87 thf(tp_c_2Ebag_2EBAG__ALL__DISTINCT,type,
% 5.64/5.87 c_2Ebag_2EBAG__ALL__DISTINCT: del > $i ).
% 5.64/5.87
% 5.64/5.87 thf(mem_c_2Ebag_2EBAG__ALL__DISTINCT,axiom,
% 5.64/5.87 ! [A_27a: del] : ( mem @ ( c_2Ebag_2EBAG__ALL__DISTINCT @ A_27a ) @ ( arr @ ( arr @ A_27a @ ty_2Enum_2Enum ) @ bool ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(tp_c_2Ebag_2EBAG__CARD,type,
% 5.64/5.87 c_2Ebag_2EBAG__CARD: del > $i ).
% 5.64/5.87
% 5.64/5.87 thf(mem_c_2Ebag_2EBAG__CARD,axiom,
% 5.64/5.87 ! [A_27a: del] : ( mem @ ( c_2Ebag_2EBAG__CARD @ A_27a ) @ ( arr @ ( arr @ A_27a @ ty_2Enum_2Enum ) @ ty_2Enum_2Enum ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(tp_c_2Ebag_2EBAG__CARD__RELn,type,
% 5.64/5.87 c_2Ebag_2EBAG__CARD__RELn: del > $i ).
% 5.64/5.87
% 5.64/5.87 thf(mem_c_2Ebag_2EBAG__CARD__RELn,axiom,
% 5.64/5.87 ! [A_27a: del] : ( mem @ ( c_2Ebag_2EBAG__CARD__RELn @ A_27a ) @ ( arr @ ( arr @ A_27a @ ty_2Enum_2Enum ) @ ( arr @ ty_2Enum_2Enum @ bool ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(tp_c_2Ebag_2EBAG__CHOICE,type,
% 5.64/5.87 c_2Ebag_2EBAG__CHOICE: del > $i ).
% 5.64/5.87
% 5.64/5.87 thf(mem_c_2Ebag_2EBAG__CHOICE,axiom,
% 5.64/5.87 ! [A_27a: del] : ( mem @ ( c_2Ebag_2EBAG__CHOICE @ A_27a ) @ ( arr @ ( arr @ A_27a @ ty_2Enum_2Enum ) @ A_27a ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(tp_c_2Ebag_2EBAG__DELETE,type,
% 5.64/5.87 c_2Ebag_2EBAG__DELETE: del > $i ).
% 5.64/5.87
% 5.64/5.87 thf(mem_c_2Ebag_2EBAG__DELETE,axiom,
% 5.64/5.87 ! [A_27a: del] : ( mem @ ( c_2Ebag_2EBAG__DELETE @ A_27a ) @ ( arr @ ( arr @ A_27a @ ty_2Enum_2Enum ) @ ( arr @ A_27a @ ( arr @ ( arr @ A_27a @ ty_2Enum_2Enum ) @ bool ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(tp_c_2Ebag_2EBAG__DIFF,type,
% 5.64/5.87 c_2Ebag_2EBAG__DIFF: del > $i ).
% 5.64/5.87
% 5.64/5.87 thf(mem_c_2Ebag_2EBAG__DIFF,axiom,
% 5.64/5.87 ! [A_27a: del] : ( mem @ ( c_2Ebag_2EBAG__DIFF @ A_27a ) @ ( arr @ ( arr @ A_27a @ ty_2Enum_2Enum ) @ ( arr @ ( arr @ A_27a @ ty_2Enum_2Enum ) @ ( arr @ A_27a @ ty_2Enum_2Enum ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(tp_c_2Ebag_2EBAG__DISJOINT,type,
% 5.64/5.87 c_2Ebag_2EBAG__DISJOINT: del > $i ).
% 5.64/5.87
% 5.64/5.87 thf(mem_c_2Ebag_2EBAG__DISJOINT,axiom,
% 5.64/5.87 ! [A_27a: del] : ( mem @ ( c_2Ebag_2EBAG__DISJOINT @ A_27a ) @ ( arr @ ( arr @ A_27a @ ty_2Enum_2Enum ) @ ( arr @ ( arr @ A_27a @ ty_2Enum_2Enum ) @ bool ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(tp_c_2Ebag_2EBAG__EVERY,type,
% 5.64/5.87 c_2Ebag_2EBAG__EVERY: del > $i ).
% 5.64/5.87
% 5.64/5.87 thf(mem_c_2Ebag_2EBAG__EVERY,axiom,
% 5.64/5.87 ! [A_27a: del] : ( mem @ ( c_2Ebag_2EBAG__EVERY @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( arr @ A_27a @ ty_2Enum_2Enum ) @ bool ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(tp_c_2Ebag_2EBAG__FILTER,type,
% 5.64/5.87 c_2Ebag_2EBAG__FILTER: del > $i ).
% 5.64/5.87
% 5.64/5.87 thf(mem_c_2Ebag_2EBAG__FILTER,axiom,
% 5.64/5.87 ! [A_27a: del] : ( mem @ ( c_2Ebag_2EBAG__FILTER @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( arr @ A_27a @ ty_2Enum_2Enum ) @ ( arr @ A_27a @ ty_2Enum_2Enum ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(tp_c_2Ebag_2EBAG__GEN__PROD,type,
% 5.64/5.87 c_2Ebag_2EBAG__GEN__PROD: $i ).
% 5.64/5.87
% 5.64/5.87 thf(mem_c_2Ebag_2EBAG__GEN__PROD,axiom,
% 5.64/5.87 mem @ c_2Ebag_2EBAG__GEN__PROD @ ( arr @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(tp_c_2Ebag_2EBAG__GEN__SUM,type,
% 5.64/5.87 c_2Ebag_2EBAG__GEN__SUM: $i ).
% 5.64/5.87
% 5.64/5.87 thf(mem_c_2Ebag_2EBAG__GEN__SUM,axiom,
% 5.64/5.87 mem @ c_2Ebag_2EBAG__GEN__SUM @ ( arr @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(tp_c_2Ebag_2EBAG__IMAGE,type,
% 5.64/5.87 c_2Ebag_2EBAG__IMAGE: del > del > $i ).
% 5.64/5.87
% 5.64/5.87 thf(mem_c_2Ebag_2EBAG__IMAGE,axiom,
% 5.64/5.87 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Ebag_2EBAG__IMAGE @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27b @ A_27a ) @ ( arr @ ( arr @ A_27b @ ty_2Enum_2Enum ) @ ( arr @ A_27a @ ty_2Enum_2Enum ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(tp_c_2Ebag_2EBAG__IN,type,
% 5.64/5.87 c_2Ebag_2EBAG__IN: del > $i ).
% 5.64/5.87
% 5.64/5.87 thf(mem_c_2Ebag_2EBAG__IN,axiom,
% 5.64/5.87 ! [A_27a: del] : ( mem @ ( c_2Ebag_2EBAG__IN @ A_27a ) @ ( arr @ A_27a @ ( arr @ ( arr @ A_27a @ ty_2Enum_2Enum ) @ bool ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(tp_c_2Ebag_2EBAG__INN,type,
% 5.64/5.87 c_2Ebag_2EBAG__INN: del > $i ).
% 5.64/5.87
% 5.64/5.87 thf(mem_c_2Ebag_2EBAG__INN,axiom,
% 5.64/5.87 ! [A_27a: del] : ( mem @ ( c_2Ebag_2EBAG__INN @ A_27a ) @ ( arr @ A_27a @ ( arr @ ty_2Enum_2Enum @ ( arr @ ( arr @ A_27a @ ty_2Enum_2Enum ) @ bool ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(tp_c_2Ebag_2EBAG__INSERT,type,
% 5.64/5.87 c_2Ebag_2EBAG__INSERT: del > $i ).
% 5.64/5.87
% 5.64/5.87 thf(mem_c_2Ebag_2EBAG__INSERT,axiom,
% 5.64/5.87 ! [A_27a: del] : ( mem @ ( c_2Ebag_2EBAG__INSERT @ A_27a ) @ ( arr @ A_27a @ ( arr @ ( arr @ A_27a @ ty_2Enum_2Enum ) @ ( arr @ A_27a @ ty_2Enum_2Enum ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(tp_c_2Ebag_2EBAG__INTER,type,
% 5.64/5.87 c_2Ebag_2EBAG__INTER: del > $i ).
% 5.64/5.87
% 5.64/5.87 thf(mem_c_2Ebag_2EBAG__INTER,axiom,
% 5.64/5.87 ! [A_27a: del] : ( mem @ ( c_2Ebag_2EBAG__INTER @ A_27a ) @ ( arr @ ( arr @ A_27a @ ty_2Enum_2Enum ) @ ( arr @ ( arr @ A_27a @ ty_2Enum_2Enum ) @ ( arr @ A_27a @ ty_2Enum_2Enum ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(tp_c_2Ebag_2EBAG__MERGE,type,
% 5.64/5.87 c_2Ebag_2EBAG__MERGE: del > $i ).
% 5.64/5.87
% 5.64/5.87 thf(mem_c_2Ebag_2EBAG__MERGE,axiom,
% 5.64/5.87 ! [A_27a: del] : ( mem @ ( c_2Ebag_2EBAG__MERGE @ A_27a ) @ ( arr @ ( arr @ A_27a @ ty_2Enum_2Enum ) @ ( arr @ ( arr @ A_27a @ ty_2Enum_2Enum ) @ ( arr @ A_27a @ ty_2Enum_2Enum ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(tp_c_2Ebag_2EBAG__OF__SET,type,
% 5.64/5.87 c_2Ebag_2EBAG__OF__SET: del > $i ).
% 5.64/5.87
% 5.64/5.87 thf(mem_c_2Ebag_2EBAG__OF__SET,axiom,
% 5.64/5.87 ! [A_27a: del] : ( mem @ ( c_2Ebag_2EBAG__OF__SET @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ ty_2Enum_2Enum ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(tp_c_2Ebag_2EBAG__REST,type,
% 5.64/5.87 c_2Ebag_2EBAG__REST: del > $i ).
% 5.64/5.87
% 5.64/5.87 thf(mem_c_2Ebag_2EBAG__REST,axiom,
% 5.64/5.87 ! [A_27a: del] : ( mem @ ( c_2Ebag_2EBAG__REST @ A_27a ) @ ( arr @ ( arr @ A_27a @ ty_2Enum_2Enum ) @ ( arr @ A_27a @ ty_2Enum_2Enum ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(tp_c_2Ebag_2EBAG__UNION,type,
% 5.64/5.87 c_2Ebag_2EBAG__UNION: del > $i ).
% 5.64/5.87
% 5.64/5.87 thf(mem_c_2Ebag_2EBAG__UNION,axiom,
% 5.64/5.87 ! [A_27a: del] : ( mem @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ ( arr @ ( arr @ A_27a @ ty_2Enum_2Enum ) @ ( arr @ ( arr @ A_27a @ ty_2Enum_2Enum ) @ ( arr @ A_27a @ ty_2Enum_2Enum ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(tp_c_2Ebag_2EBIG__BAG__UNION,type,
% 5.64/5.87 c_2Ebag_2EBIG__BAG__UNION: del > $i ).
% 5.64/5.87
% 5.64/5.87 thf(mem_c_2Ebag_2EBIG__BAG__UNION,axiom,
% 5.64/5.87 ! [A_27a: del] : ( mem @ ( c_2Ebag_2EBIG__BAG__UNION @ A_27a ) @ ( arr @ ( arr @ ( arr @ A_27a @ ty_2Enum_2Enum ) @ bool ) @ ( arr @ A_27a @ ty_2Enum_2Enum ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(tp_c_2Ebag_2EEL__BAG,type,
% 5.64/5.87 c_2Ebag_2EEL__BAG: del > $i ).
% 5.64/5.87
% 5.64/5.87 thf(mem_c_2Ebag_2EEL__BAG,axiom,
% 5.64/5.87 ! [A_27a: del] : ( mem @ ( c_2Ebag_2EEL__BAG @ A_27a ) @ ( arr @ A_27a @ ( arr @ A_27a @ ty_2Enum_2Enum ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(tp_c_2Ebag_2EEMPTY__BAG,type,
% 5.64/5.87 c_2Ebag_2EEMPTY__BAG: del > $i ).
% 5.64/5.87
% 5.64/5.87 thf(mem_c_2Ebag_2EEMPTY__BAG,axiom,
% 5.64/5.87 ! [A_27a: del] : ( mem @ ( c_2Ebag_2EEMPTY__BAG @ A_27a ) @ ( arr @ A_27a @ ty_2Enum_2Enum ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(tp_c_2Ebag_2EFINITE__BAG,type,
% 5.64/5.87 c_2Ebag_2EFINITE__BAG: del > $i ).
% 5.64/5.87
% 5.64/5.87 thf(mem_c_2Ebag_2EFINITE__BAG,axiom,
% 5.64/5.87 ! [A_27a: del] : ( mem @ ( c_2Ebag_2EFINITE__BAG @ A_27a ) @ ( arr @ ( arr @ A_27a @ ty_2Enum_2Enum ) @ bool ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(tp_c_2Ebag_2EITBAG,type,
% 5.64/5.87 c_2Ebag_2EITBAG: del > del > $i ).
% 5.64/5.87
% 5.64/5.87 thf(mem_c_2Ebag_2EITBAG,axiom,
% 5.64/5.87 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Ebag_2EITBAG @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27b @ A_27b ) ) @ ( arr @ ( arr @ A_27a @ ty_2Enum_2Enum ) @ ( arr @ A_27b @ A_27b ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(tp_c_2Ebag_2EPSUB__BAG,type,
% 5.64/5.87 c_2Ebag_2EPSUB__BAG: del > $i ).
% 5.64/5.87
% 5.64/5.87 thf(mem_c_2Ebag_2EPSUB__BAG,axiom,
% 5.64/5.87 ! [A_27a: del] : ( mem @ ( c_2Ebag_2EPSUB__BAG @ A_27a ) @ ( arr @ ( arr @ A_27a @ ty_2Enum_2Enum ) @ ( arr @ ( arr @ A_27a @ ty_2Enum_2Enum ) @ bool ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(tp_c_2Ebag_2ESET__OF__BAG,type,
% 5.64/5.87 c_2Ebag_2ESET__OF__BAG: del > $i ).
% 5.64/5.87
% 5.64/5.87 thf(mem_c_2Ebag_2ESET__OF__BAG,axiom,
% 5.64/5.87 ! [A_27a: del] : ( mem @ ( c_2Ebag_2ESET__OF__BAG @ A_27a ) @ ( arr @ ( arr @ A_27a @ ty_2Enum_2Enum ) @ ( arr @ A_27a @ bool ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(tp_c_2Ebag_2ESING__BAG,type,
% 5.64/5.87 c_2Ebag_2ESING__BAG: del > $i ).
% 5.64/5.87
% 5.64/5.87 thf(mem_c_2Ebag_2ESING__BAG,axiom,
% 5.64/5.87 ! [A_27a: del] : ( mem @ ( c_2Ebag_2ESING__BAG @ A_27a ) @ ( arr @ ( arr @ A_27a @ ty_2Enum_2Enum ) @ bool ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(tp_c_2Ebag_2ESUB__BAG,type,
% 5.64/5.87 c_2Ebag_2ESUB__BAG: del > $i ).
% 5.64/5.87
% 5.64/5.87 thf(mem_c_2Ebag_2ESUB__BAG,axiom,
% 5.64/5.87 ! [A_27a: del] : ( mem @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ ( arr @ ( arr @ A_27a @ ty_2Enum_2Enum ) @ ( arr @ ( arr @ A_27a @ ty_2Enum_2Enum ) @ bool ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(tp_c_2Ebag_2Ebag__size,type,
% 5.64/5.87 c_2Ebag_2Ebag__size: del > $i ).
% 5.64/5.87
% 5.64/5.87 thf(mem_c_2Ebag_2Ebag__size,axiom,
% 5.64/5.87 ! [A_27a: del] : ( mem @ ( c_2Ebag_2Ebag__size @ A_27a ) @ ( arr @ ( arr @ A_27a @ ty_2Enum_2Enum ) @ ( arr @ ( arr @ A_27a @ ty_2Enum_2Enum ) @ ty_2Enum_2Enum ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(tp_c_2Ebag_2Edominates,type,
% 5.64/5.87 c_2Ebag_2Edominates: del > del > $i ).
% 5.64/5.87
% 5.64/5.87 thf(mem_c_2Ebag_2Edominates,axiom,
% 5.64/5.87 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Ebag_2Edominates @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( arr @ A_27b @ bool ) @ bool ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(tp_c_2Ebag_2Emlt1,type,
% 5.64/5.87 c_2Ebag_2Emlt1: del > $i ).
% 5.64/5.87
% 5.64/5.87 thf(mem_c_2Ebag_2Emlt1,axiom,
% 5.64/5.87 ! [A_27a: del] : ( mem @ ( c_2Ebag_2Emlt1 @ A_27a ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) @ ( arr @ ( arr @ A_27a @ ty_2Enum_2Enum ) @ ( arr @ ( arr @ A_27a @ ty_2Enum_2Enum ) @ bool ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(ax_thm_2Ebag_2EEMPTY__BAG,axiom,
% 5.64/5.87 ! [A_27a: del] :
% 5.64/5.87 ( ( c_2Ebag_2EEMPTY__BAG @ A_27a )
% 5.64/5.87 = ( ap @ ( c_2Ecombin_2EK @ ty_2Enum_2Enum @ A_27a ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EEMPTY__BAG__alt,axiom,
% 5.64/5.87 ! [A_27a: del] :
% 5.64/5.87 ( ( c_2Ebag_2EEMPTY__BAG @ A_27a )
% 5.64/5.87 = ( lam @ A_27a
% 5.64/5.87 @ ^ [V0x: $i] : ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(ax_thm_2Ebag_2EBAG__INN,axiom,
% 5.64/5.87 ! [A_27a: del,V0e: $i] :
% 5.64/5.87 ( ( mem @ V0e @ A_27a )
% 5.64/5.87 => ! [V1n: tp__ty_2Enum_2Enum,V2b: $i] :
% 5.64/5.87 ( ( mem @ V2b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__INN @ A_27a ) @ V0e ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ V2b ) )
% 5.64/5.87 <=> ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ V2b @ V0e ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(ax_thm_2Ebag_2ESUB__BAG,axiom,
% 5.64/5.87 ! [A_27a: del,V0b1: $i] :
% 5.64/5.87 ( ( mem @ V0b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1b2: $i] :
% 5.64/5.87 ( ( mem @ V1b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ V0b1 ) @ V1b2 ) )
% 5.64/5.87 <=> ! [V2x: $i] :
% 5.64/5.87 ( ( mem @ V2x @ A_27a )
% 5.64/5.87 => ! [V3n: tp__ty_2Enum_2Enum] :
% 5.64/5.87 ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__INN @ A_27a ) @ V2x ) @ ( inj__ty_2Enum_2Enum @ V3n ) ) @ V0b1 ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__INN @ A_27a ) @ V2x ) @ ( inj__ty_2Enum_2Enum @ V3n ) ) @ V1b2 ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(ax_thm_2Ebag_2EPSUB__BAG,axiom,
% 5.64/5.87 ! [A_27a: del,V0b1: $i] :
% 5.64/5.87 ( ( mem @ V0b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1b2: $i] :
% 5.64/5.87 ( ( mem @ V1b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2EPSUB__BAG @ A_27a ) @ V0b1 ) @ V1b2 ) )
% 5.64/5.87 <=> ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ V0b1 ) @ V1b2 ) )
% 5.64/5.87 & ( V0b1 != V1b2 ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(ax_thm_2Ebag_2EBAG__IN,axiom,
% 5.64/5.87 ! [A_27a: del,V0e: $i] :
% 5.64/5.87 ( ( mem @ V0e @ A_27a )
% 5.64/5.87 => ! [V1b: $i] :
% 5.64/5.87 ( ( mem @ V1b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__IN @ A_27a ) @ V0e ) @ V1b ) )
% 5.64/5.87 <=> ( p @ ( ap @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__INN @ A_27a ) @ V0e ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ V1b ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(ax_thm_2Ebag_2EBAG__UNION,axiom,
% 5.64/5.87 ! [A_27a: del,V0b: $i] :
% 5.64/5.87 ( ( mem @ V0b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1c: $i] :
% 5.64/5.87 ( ( mem @ V1c @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V0b ) @ V1c )
% 5.64/5.87 = ( lam @ A_27a
% 5.64/5.87 @ ^ [V2x: $i] : ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ V0b @ V2x ) ) @ ( ap @ V1c @ V2x ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(ax_thm_2Ebag_2EBAG__DIFF,axiom,
% 5.64/5.87 ! [A_27a: del,V0b1: $i] :
% 5.64/5.87 ( ( mem @ V0b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1b2: $i] :
% 5.64/5.87 ( ( mem @ V1b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( ap @ ( ap @ ( c_2Ebag_2EBAG__DIFF @ A_27a ) @ V0b1 ) @ V1b2 )
% 5.64/5.87 = ( lam @ A_27a
% 5.64/5.87 @ ^ [V2x: $i] : ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ V0b1 @ V2x ) ) @ ( ap @ V1b2 @ V2x ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(ax_thm_2Ebag_2EBAG__INSERT,axiom,
% 5.64/5.87 ! [A_27a: del,V0e: $i] :
% 5.64/5.87 ( ( mem @ V0e @ A_27a )
% 5.64/5.87 => ! [V1b: $i] :
% 5.64/5.87 ( ( mem @ V1b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ A_27a ) @ V0e ) @ V1b )
% 5.64/5.87 = ( lam @ A_27a
% 5.64/5.87 @ ^ [V2x: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V2x ) @ V0e ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ V1b @ V0e ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ V1b @ V2x ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__cases,axiom,
% 5.64/5.87 ! [A_27a: del,V0b: $i] :
% 5.64/5.87 ( ( mem @ V0b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( V0b
% 5.64/5.87 = ( c_2Ebag_2EEMPTY__BAG @ A_27a ) )
% 5.64/5.87 | ? [V1b0: $i] :
% 5.64/5.87 ( ( mem @ V1b0 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 & ? [V2e: $i] :
% 5.64/5.87 ( ( mem @ V2e @ A_27a )
% 5.64/5.87 & ( V0b
% 5.64/5.87 = ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ A_27a ) @ V2e ) @ V1b0 ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(ax_thm_2Ebag_2EBAG__INTER,axiom,
% 5.64/5.87 ! [A_27a: del,V0b1: $i] :
% 5.64/5.87 ( ( mem @ V0b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1b2: $i] :
% 5.64/5.87 ( ( mem @ V1b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( ap @ ( ap @ ( c_2Ebag_2EBAG__INTER @ A_27a ) @ V0b1 ) @ V1b2 )
% 5.64/5.87 = ( lam @ A_27a
% 5.64/5.87 @ ^ [V2x: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ V0b1 @ V2x ) ) @ ( ap @ V1b2 @ V2x ) ) ) @ ( ap @ V0b1 @ V2x ) ) @ ( ap @ V1b2 @ V2x ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(ax_thm_2Ebag_2EBAG__MERGE,axiom,
% 5.64/5.87 ! [A_27a: del,V0b1: $i] :
% 5.64/5.87 ( ( mem @ V0b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1b2: $i] :
% 5.64/5.87 ( ( mem @ V1b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( ap @ ( ap @ ( c_2Ebag_2EBAG__MERGE @ A_27a ) @ V0b1 ) @ V1b2 )
% 5.64/5.87 = ( lam @ A_27a
% 5.64/5.87 @ ^ [V2x: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ V0b1 @ V2x ) ) @ ( ap @ V1b2 @ V2x ) ) ) @ ( ap @ V1b2 @ V2x ) ) @ ( ap @ V0b1 @ V2x ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__MERGE__IDEM,axiom,
% 5.64/5.87 ! [A_27a: del,V0b: $i] :
% 5.64/5.87 ( ( mem @ V0b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( ap @ ( ap @ ( c_2Ebag_2EBAG__MERGE @ A_27a ) @ V0b ) @ V0b )
% 5.64/5.87 = V0b ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__INN__0,axiom,
% 5.64/5.87 ! [A_27a: del,V0b: $i] :
% 5.64/5.87 ( ( mem @ V0b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1e: $i] :
% 5.64/5.87 ( ( mem @ V1e @ A_27a )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__INN @ A_27a ) @ V1e ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ V0b ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__INN__LESS,axiom,
% 5.64/5.87 ! [A_27a: del,V0b: $i] :
% 5.64/5.87 ( ( mem @ V0b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1e: $i] :
% 5.64/5.87 ( ( mem @ V1e @ A_27a )
% 5.64/5.87 => ! [V2n: tp__ty_2Enum_2Enum,V3m: tp__ty_2Enum_2Enum] :
% 5.64/5.87 ( ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__INN @ A_27a ) @ V1e ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ V0b ) )
% 5.64/5.87 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V3m ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__INN @ A_27a ) @ V1e ) @ ( inj__ty_2Enum_2Enum @ V3m ) ) @ V0b ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__IN__BAG__INSERT,axiom,
% 5.64/5.87 ! [A_27a: del,V0b: $i] :
% 5.64/5.87 ( ( mem @ V0b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1e1: $i] :
% 5.64/5.87 ( ( mem @ V1e1 @ A_27a )
% 5.64/5.87 => ! [V2e2: $i] :
% 5.64/5.87 ( ( mem @ V2e2 @ A_27a )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__IN @ A_27a ) @ V1e1 ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ A_27a ) @ V2e2 ) @ V0b ) ) )
% 5.64/5.87 <=> ( ( V1e1 = V2e2 )
% 5.64/5.87 | ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__IN @ A_27a ) @ V1e1 ) @ V0b ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__INN__BAG__INSERT,axiom,
% 5.64/5.87 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1b: $i] :
% 5.64/5.87 ( ( mem @ V1b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V2e1: $i] :
% 5.64/5.87 ( ( mem @ V2e1 @ A_27a )
% 5.64/5.87 => ! [V3e2: $i] :
% 5.64/5.87 ( ( mem @ V3e2 @ A_27a )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__INN @ A_27a ) @ V2e1 ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ A_27a ) @ V3e2 ) @ V1b ) ) )
% 5.64/5.87 <=> ( ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__INN @ A_27a ) @ V2e1 ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ V1b ) )
% 5.64/5.87 & ( V2e1 = V3e2 ) )
% 5.64/5.87 | ( p @ ( ap @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__INN @ A_27a ) @ V2e1 ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1b ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__INN__BAG__INSERT__STRONG,axiom,
% 5.64/5.87 ! [A_27a: del,V0b: $i] :
% 5.64/5.87 ( ( mem @ V0b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1n: tp__ty_2Enum_2Enum,V2e1: $i] :
% 5.64/5.87 ( ( mem @ V2e1 @ A_27a )
% 5.64/5.87 => ! [V3e2: $i] :
% 5.64/5.87 ( ( mem @ V3e2 @ A_27a )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__INN @ A_27a ) @ V2e1 ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ A_27a ) @ V3e2 ) @ V0b ) ) )
% 5.64/5.87 <=> ( ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__INN @ A_27a ) @ V2e1 ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ V0b ) )
% 5.64/5.87 & ( V2e1 = V3e2 ) )
% 5.64/5.87 | ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__INN @ A_27a ) @ V2e1 ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ V0b ) )
% 5.64/5.87 & ( V2e1 != V3e2 ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__UNION__EQ__LCANCEL1,axiom,
% 5.64/5.87 ! [A_27a: del,V0b: $i] :
% 5.64/5.87 ( ( mem @ V0b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1c: $i] :
% 5.64/5.87 ( ( mem @ V1c @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( V0b
% 5.64/5.87 = ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V0b ) @ V1c ) )
% 5.64/5.87 <=> ( V1c
% 5.64/5.87 = ( c_2Ebag_2EEMPTY__BAG @ A_27a ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__UNION__EQ__RCANCEL1,axiom,
% 5.64/5.87 ! [A_27a: del,V0b: $i] :
% 5.64/5.87 ( ( mem @ V0b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1c: $i] :
% 5.64/5.87 ( ( mem @ V1c @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( V0b
% 5.64/5.87 = ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V1c ) @ V0b ) )
% 5.64/5.87 <=> ( V1c
% 5.64/5.87 = ( c_2Ebag_2EEMPTY__BAG @ A_27a ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__IN__BAG__UNION,axiom,
% 5.64/5.87 ! [A_27a: del,V0b1: $i] :
% 5.64/5.87 ( ( mem @ V0b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1b2: $i] :
% 5.64/5.87 ( ( mem @ V1b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V2e: $i] :
% 5.64/5.87 ( ( mem @ V2e @ A_27a )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__IN @ A_27a ) @ V2e ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V0b1 ) @ V1b2 ) ) )
% 5.64/5.87 <=> ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__IN @ A_27a ) @ V2e ) @ V0b1 ) )
% 5.64/5.87 | ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__IN @ A_27a ) @ V2e ) @ V1b2 ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__INN__BAG__UNION,axiom,
% 5.64/5.87 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1e: $i] :
% 5.64/5.87 ( ( mem @ V1e @ A_27a )
% 5.64/5.87 => ! [V2b1: $i] :
% 5.64/5.87 ( ( mem @ V2b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V3b2: $i] :
% 5.64/5.87 ( ( mem @ V3b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__INN @ A_27a ) @ V1e ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V2b1 ) @ V3b2 ) ) )
% 5.64/5.87 <=> ? [V4m1: tp__ty_2Enum_2Enum,V5m2: tp__ty_2Enum_2Enum] :
% 5.64/5.87 ( ( V0n
% 5.64/5.87 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V4m1 ) ) @ ( inj__ty_2Enum_2Enum @ V5m2 ) ) ) )
% 5.64/5.87 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__INN @ A_27a ) @ V1e ) @ ( inj__ty_2Enum_2Enum @ V4m1 ) ) @ V2b1 ) )
% 5.64/5.87 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__INN @ A_27a ) @ V1e ) @ ( inj__ty_2Enum_2Enum @ V5m2 ) ) @ V3b2 ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__INN__BAG__MERGE,axiom,
% 5.64/5.87 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1e: $i] :
% 5.64/5.87 ( ( mem @ V1e @ A_27a )
% 5.64/5.87 => ! [V2b1: $i] :
% 5.64/5.87 ( ( mem @ V2b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V3b2: $i] :
% 5.64/5.87 ( ( mem @ V3b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__INN @ A_27a ) @ V1e ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__MERGE @ A_27a ) @ V2b1 ) @ V3b2 ) ) )
% 5.64/5.87 <=> ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__INN @ A_27a ) @ V1e ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V2b1 ) )
% 5.64/5.87 | ( p @ ( ap @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__INN @ A_27a ) @ V1e ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V3b2 ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__IN__BAG__MERGE,axiom,
% 5.64/5.87 ! [A_27a: del,V0e: $i] :
% 5.64/5.87 ( ( mem @ V0e @ A_27a )
% 5.64/5.87 => ! [V1b1: $i] :
% 5.64/5.87 ( ( mem @ V1b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V2b2: $i] :
% 5.64/5.87 ( ( mem @ V2b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__IN @ A_27a ) @ V0e ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__MERGE @ A_27a ) @ V1b1 ) @ V2b2 ) ) )
% 5.64/5.87 <=> ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__IN @ A_27a ) @ V0e ) @ V1b1 ) )
% 5.64/5.87 | ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__IN @ A_27a ) @ V0e ) @ V2b2 ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__EXTENSION,axiom,
% 5.64/5.87 ! [A_27a: del,V0b1: $i] :
% 5.64/5.87 ( ( mem @ V0b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1b2: $i] :
% 5.64/5.87 ( ( mem @ V1b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( V0b1 = V1b2 )
% 5.64/5.87 <=> ! [V2n: tp__ty_2Enum_2Enum,V3e: $i] :
% 5.64/5.87 ( ( mem @ V3e @ A_27a )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__INN @ A_27a ) @ V3e ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ V0b1 ) )
% 5.64/5.87 <=> ( p @ ( ap @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__INN @ A_27a ) @ V3e ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ V1b2 ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__UNION__INSERT,axiom,
% 5.64/5.87 ! [A_27a: del,V0e: $i] :
% 5.64/5.87 ( ( mem @ V0e @ A_27a )
% 5.64/5.87 => ! [V1b1: $i] :
% 5.64/5.87 ( ( mem @ V1b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V2b2: $i] :
% 5.64/5.87 ( ( mem @ V2b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ A_27a ) @ V0e ) @ V1b1 ) ) @ V2b2 )
% 5.64/5.87 = ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ A_27a ) @ V0e ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V1b1 ) @ V2b2 ) ) )
% 5.64/5.87 & ( ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V1b1 ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ A_27a ) @ V0e ) @ V2b2 ) )
% 5.64/5.87 = ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ A_27a ) @ V0e ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V1b1 ) @ V2b2 ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__INSERT__DIFF,axiom,
% 5.64/5.87 ! [A_27a: del,V0x: $i] :
% 5.64/5.87 ( ( mem @ V0x @ A_27a )
% 5.64/5.87 => ! [V1b: $i] :
% 5.64/5.87 ( ( mem @ V1b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ A_27a ) @ V0x ) @ V1b )
% 5.64/5.87 != V1b ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__INSERT__NOT__EMPTY,axiom,
% 5.64/5.87 ! [A_27a: del,V0x: $i] :
% 5.64/5.87 ( ( mem @ V0x @ A_27a )
% 5.64/5.87 => ! [V1b: $i] :
% 5.64/5.87 ( ( mem @ V1b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ A_27a ) @ V0x ) @ V1b )
% 5.64/5.87 != ( c_2Ebag_2EEMPTY__BAG @ A_27a ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__INSERT__ONE__ONE,axiom,
% 5.64/5.87 ! [A_27a: del,V0b1: $i] :
% 5.64/5.87 ( ( mem @ V0b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1b2: $i] :
% 5.64/5.87 ( ( mem @ V1b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V2x: $i] :
% 5.64/5.87 ( ( mem @ V2x @ A_27a )
% 5.64/5.87 => ( ( ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ A_27a ) @ V2x ) @ V0b1 )
% 5.64/5.87 = ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ A_27a ) @ V2x ) @ V1b2 ) )
% 5.64/5.87 <=> ( V0b1 = V1b2 ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EC__BAG__INSERT__ONE__ONE,axiom,
% 5.64/5.87 ! [A_27a: del,V0x: $i] :
% 5.64/5.87 ( ( mem @ V0x @ A_27a )
% 5.64/5.87 => ! [V1y: $i] :
% 5.64/5.87 ( ( mem @ V1y @ A_27a )
% 5.64/5.87 => ! [V2b: $i] :
% 5.64/5.87 ( ( mem @ V2b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ A_27a ) @ V0x ) @ V2b )
% 5.64/5.87 = ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ A_27a ) @ V1y ) @ V2b ) )
% 5.64/5.87 <=> ( V0x = V1y ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__INSERT__commutes,axiom,
% 5.64/5.87 ! [A_27a: del,V0b: $i] :
% 5.64/5.87 ( ( mem @ V0b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1e1: $i] :
% 5.64/5.87 ( ( mem @ V1e1 @ A_27a )
% 5.64/5.87 => ! [V2e2: $i] :
% 5.64/5.87 ( ( mem @ V2e2 @ A_27a )
% 5.64/5.87 => ( ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ A_27a ) @ V1e1 ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ A_27a ) @ V2e2 ) @ V0b ) )
% 5.64/5.87 = ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ A_27a ) @ V2e2 ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ A_27a ) @ V1e1 ) @ V0b ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__DECOMPOSE,axiom,
% 5.64/5.87 ! [A_27a: del,V0e: $i] :
% 5.64/5.87 ( ( mem @ V0e @ A_27a )
% 5.64/5.87 => ! [V1b: $i] :
% 5.64/5.87 ( ( mem @ V1b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__IN @ A_27a ) @ V0e ) @ V1b ) )
% 5.64/5.87 => ? [V2b_27: $i] :
% 5.64/5.87 ( ( mem @ V2b_27 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 & ( V1b
% 5.64/5.87 = ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ A_27a ) @ V0e ) @ V2b_27 ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__UNION__LEFT__CANCEL,axiom,
% 5.64/5.87 ! [A_27a: del,V0b: $i] :
% 5.64/5.87 ( ( mem @ V0b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1b1: $i] :
% 5.64/5.87 ( ( mem @ V1b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V2b2: $i] :
% 5.64/5.87 ( ( mem @ V2b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V0b ) @ V1b1 )
% 5.64/5.87 = ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V0b ) @ V2b2 ) )
% 5.64/5.87 <=> ( V1b1 = V2b2 ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2ECOMM__BAG__UNION,axiom,
% 5.64/5.87 ! [A_27a: del,V0b1: $i] :
% 5.64/5.87 ( ( mem @ V0b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1b2: $i] :
% 5.64/5.87 ( ( mem @ V1b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V0b1 ) @ V1b2 )
% 5.64/5.87 = ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V1b2 ) @ V0b1 ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__UNION__RIGHT__CANCEL,axiom,
% 5.64/5.87 ! [A_27a: del,V0b: $i] :
% 5.64/5.87 ( ( mem @ V0b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1b1: $i] :
% 5.64/5.87 ( ( mem @ V1b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V2b2: $i] :
% 5.64/5.87 ( ( mem @ V2b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V1b1 ) @ V0b )
% 5.64/5.87 = ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V2b2 ) @ V0b ) )
% 5.64/5.87 <=> ( V1b1 = V2b2 ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EASSOC__BAG__UNION,axiom,
% 5.64/5.87 ! [A_27a: del,V0b1: $i] :
% 5.64/5.87 ( ( mem @ V0b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1b2: $i] :
% 5.64/5.87 ( ( mem @ V1b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V2b3: $i] :
% 5.64/5.87 ( ( mem @ V2b3 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V0b1 ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V1b2 ) @ V2b3 ) )
% 5.64/5.87 = ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V0b1 ) @ V1b2 ) ) @ V2b3 ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__UNION__EMPTY,axiom,
% 5.64/5.87 ! [A_27a: del,A_27b: del,A_27c: del] :
% 5.64/5.87 ( ! [V0b: $i] :
% 5.64/5.87 ( ( mem @ V0b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V0b ) @ ( c_2Ebag_2EEMPTY__BAG @ A_27a ) )
% 5.64/5.87 = V0b ) )
% 5.64/5.87 & ! [V1b: $i] :
% 5.64/5.87 ( ( mem @ V1b @ ( arr @ A_27b @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27b ) @ ( c_2Ebag_2EEMPTY__BAG @ A_27b ) ) @ V1b )
% 5.64/5.87 = V1b ) )
% 5.64/5.87 & ! [V2b1: $i] :
% 5.64/5.87 ( ( mem @ V2b1 @ ( arr @ A_27c @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V3b2: $i] :
% 5.64/5.87 ( ( mem @ V3b2 @ ( arr @ A_27c @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27c ) @ V2b1 ) @ V3b2 )
% 5.64/5.87 = ( c_2Ebag_2EEMPTY__BAG @ A_27c ) )
% 5.64/5.87 <=> ( ( V2b1
% 5.64/5.87 = ( c_2Ebag_2EEMPTY__BAG @ A_27c ) )
% 5.64/5.87 & ( V3b2
% 5.64/5.87 = ( c_2Ebag_2EEMPTY__BAG @ A_27c ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(ax_thm_2Ebag_2EBAG__DELETE,axiom,
% 5.64/5.87 ! [A_27a: del,V0b0: $i] :
% 5.64/5.87 ( ( mem @ V0b0 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1e: $i] :
% 5.64/5.87 ( ( mem @ V1e @ A_27a )
% 5.64/5.87 => ! [V2b: $i] :
% 5.64/5.87 ( ( mem @ V2b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__DELETE @ A_27a ) @ V0b0 ) @ V1e ) @ V2b ) )
% 5.64/5.87 <=> ( V0b0
% 5.64/5.87 = ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ A_27a ) @ V1e ) @ V2b ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__DELETE__EMPTY,axiom,
% 5.64/5.87 ! [A_27a: del,V0e: $i] :
% 5.64/5.87 ( ( mem @ V0e @ A_27a )
% 5.64/5.87 => ! [V1b: $i] :
% 5.64/5.87 ( ( mem @ V1b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ~ ( p @ ( ap @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__DELETE @ A_27a ) @ ( c_2Ebag_2EEMPTY__BAG @ A_27a ) ) @ V0e ) @ V1b ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__DELETE__commutes,axiom,
% 5.64/5.87 ! [A_27a: del,V0b0: $i] :
% 5.64/5.87 ( ( mem @ V0b0 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1b1: $i] :
% 5.64/5.87 ( ( mem @ V1b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V2b2: $i] :
% 5.64/5.87 ( ( mem @ V2b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V3e1: $i] :
% 5.64/5.87 ( ( mem @ V3e1 @ A_27a )
% 5.64/5.87 => ! [V4e2: $i] :
% 5.64/5.87 ( ( mem @ V4e2 @ A_27a )
% 5.64/5.87 => ( ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__DELETE @ A_27a ) @ V0b0 ) @ V3e1 ) @ V1b1 ) )
% 5.64/5.87 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__DELETE @ A_27a ) @ V1b1 ) @ V4e2 ) @ V2b2 ) ) )
% 5.64/5.87 => ? [V5b_27: $i] :
% 5.64/5.87 ( ( mem @ V5b_27 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__DELETE @ A_27a ) @ V0b0 ) @ V4e2 ) @ V5b_27 ) )
% 5.64/5.87 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__DELETE @ A_27a ) @ V5b_27 ) @ V3e1 ) @ V2b2 ) ) ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__DELETE__11,axiom,
% 5.64/5.87 ! [A_27a: del,V0b0: $i] :
% 5.64/5.87 ( ( mem @ V0b0 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1e1: $i] :
% 5.64/5.87 ( ( mem @ V1e1 @ A_27a )
% 5.64/5.87 => ! [V2e2: $i] :
% 5.64/5.87 ( ( mem @ V2e2 @ A_27a )
% 5.64/5.87 => ! [V3b1: $i] :
% 5.64/5.87 ( ( mem @ V3b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V4b2: $i] :
% 5.64/5.87 ( ( mem @ V4b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__DELETE @ A_27a ) @ V0b0 ) @ V1e1 ) @ V3b1 ) )
% 5.64/5.87 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__DELETE @ A_27a ) @ V0b0 ) @ V2e2 ) @ V4b2 ) ) )
% 5.64/5.87 => ( ( V1e1 = V2e2 )
% 5.64/5.87 <=> ( V3b1 = V4b2 ) ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__INN__BAG__DELETE,axiom,
% 5.64/5.87 ! [A_27a: del,V0b: $i] :
% 5.64/5.87 ( ( mem @ V0b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1n: tp__ty_2Enum_2Enum,V2e: $i] :
% 5.64/5.87 ( ( mem @ V2e @ A_27a )
% 5.64/5.87 => ( ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__INN @ A_27a ) @ V2e ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ V0b ) )
% 5.64/5.87 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) )
% 5.64/5.87 => ? [V3b_27: $i] :
% 5.64/5.87 ( ( mem @ V3b_27 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__DELETE @ A_27a ) @ V0b ) @ V2e ) @ V3b_27 ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__IN__BAG__DELETE,axiom,
% 5.64/5.87 ! [A_27a: del,V0b: $i] :
% 5.64/5.87 ( ( mem @ V0b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1e: $i] :
% 5.64/5.87 ( ( mem @ V1e @ A_27a )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__IN @ A_27a ) @ V1e ) @ V0b ) )
% 5.64/5.87 => ? [V2b_27: $i] :
% 5.64/5.87 ( ( mem @ V2b_27 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__DELETE @ A_27a ) @ V0b ) @ V1e ) @ V2b_27 ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__DELETE__INSERT,axiom,
% 5.64/5.87 ! [A_27a: del,V0x: $i] :
% 5.64/5.87 ( ( mem @ V0x @ A_27a )
% 5.64/5.87 => ! [V1y: $i] :
% 5.64/5.87 ( ( mem @ V1y @ A_27a )
% 5.64/5.87 => ! [V2b1: $i] :
% 5.64/5.87 ( ( mem @ V2b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V3b2: $i] :
% 5.64/5.87 ( ( mem @ V3b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__DELETE @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ A_27a ) @ V0x ) @ V2b1 ) ) @ V1y ) @ V3b2 ) )
% 5.64/5.87 => ( ( ( V0x = V1y )
% 5.64/5.87 & ( V2b1 = V3b2 ) )
% 5.64/5.87 | ( ? [V4b3: $i] :
% 5.64/5.87 ( ( mem @ V4b3 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__DELETE @ A_27a ) @ V2b1 ) @ V1y ) @ V4b3 ) ) )
% 5.64/5.87 & ( V0x != V1y ) ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__DELETE__BAG__IN__up,axiom,
% 5.64/5.87 ! [A_27a: del,V0b0: $i] :
% 5.64/5.87 ( ( mem @ V0b0 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1b: $i] :
% 5.64/5.87 ( ( mem @ V1b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V2e: $i] :
% 5.64/5.87 ( ( mem @ V2e @ A_27a )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__DELETE @ A_27a ) @ V0b0 ) @ V2e ) @ V1b ) )
% 5.64/5.87 => ! [V3e_27: $i] :
% 5.64/5.87 ( ( mem @ V3e_27 @ A_27a )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__IN @ A_27a ) @ V3e_27 ) @ V1b ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__IN @ A_27a ) @ V3e_27 ) @ V0b0 ) ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__DELETE__BAG__IN__down,axiom,
% 5.64/5.87 ! [A_27a: del,V0b0: $i] :
% 5.64/5.87 ( ( mem @ V0b0 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1b: $i] :
% 5.64/5.87 ( ( mem @ V1b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V2e1: $i] :
% 5.64/5.87 ( ( mem @ V2e1 @ A_27a )
% 5.64/5.87 => ! [V3e2: $i] :
% 5.64/5.87 ( ( mem @ V3e2 @ A_27a )
% 5.64/5.87 => ( ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__DELETE @ A_27a ) @ V0b0 ) @ V2e1 ) @ V1b ) )
% 5.64/5.87 & ( V2e1 != V3e2 )
% 5.64/5.87 & ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__IN @ A_27a ) @ V3e2 ) @ V0b0 ) ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__IN @ A_27a ) @ V3e2 ) @ V1b ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__DELETE__BAG__IN,axiom,
% 5.64/5.87 ! [A_27a: del,V0b0: $i] :
% 5.64/5.87 ( ( mem @ V0b0 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1b: $i] :
% 5.64/5.87 ( ( mem @ V1b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V2e: $i] :
% 5.64/5.87 ( ( mem @ V2e @ A_27a )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__DELETE @ A_27a ) @ V0b0 ) @ V2e ) @ V1b ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__IN @ A_27a ) @ V2e ) @ V0b0 ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__DELETE__concrete,axiom,
% 5.64/5.87 ! [A_27a: del,V0b0: $i] :
% 5.64/5.87 ( ( mem @ V0b0 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1b: $i] :
% 5.64/5.87 ( ( mem @ V1b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V2e: $i] :
% 5.64/5.87 ( ( mem @ V2e @ A_27a )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__DELETE @ A_27a ) @ V0b0 ) @ V2e ) @ V1b ) )
% 5.64/5.87 <=> ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ V0b0 @ V2e ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.64/5.87 & ( V1b
% 5.64/5.87 = ( lam @ A_27a
% 5.64/5.87 @ ^ [V3x: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V3x ) @ V2e ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ V0b0 @ V2e ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ V0b0 @ V3x ) ) ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__UNION__DIFF__eliminate,axiom,
% 5.64/5.87 ! [A_27a: del,V0b: $i] :
% 5.64/5.87 ( ( mem @ V0b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1c: $i] :
% 5.64/5.87 ( ( mem @ V1c @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( ( ap @ ( ap @ ( c_2Ebag_2EBAG__DIFF @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V0b ) @ V1c ) ) @ V1c )
% 5.64/5.87 = V0b )
% 5.64/5.87 & ( ( ap @ ( ap @ ( c_2Ebag_2EBAG__DIFF @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V1c ) @ V0b ) ) @ V1c )
% 5.64/5.87 = V0b ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__INSERT__EQUAL,axiom,
% 5.64/5.87 ! [A_27a: del,V0a: $i] :
% 5.64/5.87 ( ( mem @ V0a @ A_27a )
% 5.64/5.87 => ! [V1M: $i] :
% 5.64/5.87 ( ( mem @ V1M @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V2b: $i] :
% 5.64/5.87 ( ( mem @ V2b @ A_27a )
% 5.64/5.87 => ! [V3N: $i] :
% 5.64/5.87 ( ( mem @ V3N @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ A_27a ) @ V0a ) @ V1M )
% 5.64/5.87 = ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ A_27a ) @ V2b ) @ V3N ) )
% 5.64/5.87 <=> ( ( ( V1M = V3N )
% 5.64/5.87 & ( V0a = V2b ) )
% 5.64/5.87 | ? [V4k: $i] :
% 5.64/5.87 ( ( mem @ V4k @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 & ( V1M
% 5.64/5.87 = ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ A_27a ) @ V2b ) @ V4k ) )
% 5.64/5.87 & ( V3N
% 5.64/5.87 = ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ A_27a ) @ V0a ) @ V4k ) ) ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__DELETE__TWICE,axiom,
% 5.64/5.87 ! [A_27a: del,V0b0: $i] :
% 5.64/5.87 ( ( mem @ V0b0 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1e1: $i] :
% 5.64/5.87 ( ( mem @ V1e1 @ A_27a )
% 5.64/5.87 => ! [V2e2: $i] :
% 5.64/5.87 ( ( mem @ V2e2 @ A_27a )
% 5.64/5.87 => ! [V3b1: $i] :
% 5.64/5.87 ( ( mem @ V3b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V4b2: $i] :
% 5.64/5.87 ( ( mem @ V4b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__DELETE @ A_27a ) @ V0b0 ) @ V1e1 ) @ V3b1 ) )
% 5.64/5.87 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__DELETE @ A_27a ) @ V0b0 ) @ V2e2 ) @ V4b2 ) )
% 5.64/5.87 & ( V3b1 != V4b2 ) )
% 5.64/5.87 => ? [V5b: $i] :
% 5.64/5.87 ( ( mem @ V5b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__DELETE @ A_27a ) @ V3b1 ) @ V2e2 ) @ V5b ) )
% 5.64/5.87 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__DELETE @ A_27a ) @ V4b2 ) @ V1e1 ) @ V5b ) ) ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(ax_thm_2Ebag_2ESING__BAG,axiom,
% 5.64/5.87 ! [A_27a: del,V0b: $i] :
% 5.64/5.87 ( ( mem @ V0b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( c_2Ebag_2ESING__BAG @ A_27a ) @ V0b ) )
% 5.64/5.87 <=> ? [V1x: $i] :
% 5.64/5.87 ( ( mem @ V1x @ A_27a )
% 5.64/5.87 & ( V0b
% 5.64/5.87 = ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ A_27a ) @ V1x ) @ ( c_2Ebag_2EEMPTY__BAG @ A_27a ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2ESING__BAG__THM,axiom,
% 5.64/5.87 ! [A_27a: del,V0e: $i] :
% 5.64/5.87 ( ( mem @ V0e @ A_27a )
% 5.64/5.87 => ( p @ ( ap @ ( c_2Ebag_2ESING__BAG @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ A_27a ) @ V0e ) @ ( c_2Ebag_2EEMPTY__BAG @ A_27a ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(ax_thm_2Ebag_2EEL__BAG,axiom,
% 5.64/5.87 ! [A_27a: del,V0e: $i] :
% 5.64/5.87 ( ( mem @ V0e @ A_27a )
% 5.64/5.87 => ( ( ap @ ( c_2Ebag_2EEL__BAG @ A_27a ) @ V0e )
% 5.64/5.87 = ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ A_27a ) @ V0e ) @ ( c_2Ebag_2EEMPTY__BAG @ A_27a ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EEL__BAG__11,axiom,
% 5.64/5.87 ! [A_27a: del,V0x: $i] :
% 5.64/5.87 ( ( mem @ V0x @ A_27a )
% 5.64/5.87 => ! [V1y: $i] :
% 5.64/5.87 ( ( mem @ V1y @ A_27a )
% 5.64/5.87 => ( ( ( ap @ ( c_2Ebag_2EEL__BAG @ A_27a ) @ V0x )
% 5.64/5.87 = ( ap @ ( c_2Ebag_2EEL__BAG @ A_27a ) @ V1y ) )
% 5.64/5.87 => ( V0x = V1y ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EEL__BAG__INSERT__squeeze,axiom,
% 5.64/5.87 ! [A_27a: del,V0x: $i] :
% 5.64/5.87 ( ( mem @ V0x @ A_27a )
% 5.64/5.87 => ! [V1b: $i] :
% 5.64/5.87 ( ( mem @ V1b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V2y: $i] :
% 5.64/5.87 ( ( mem @ V2y @ A_27a )
% 5.64/5.87 => ( ( ( ap @ ( c_2Ebag_2EEL__BAG @ A_27a ) @ V0x )
% 5.64/5.87 = ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ A_27a ) @ V2y ) @ V1b ) )
% 5.64/5.87 => ( ( V0x = V2y )
% 5.64/5.87 & ( V1b
% 5.64/5.87 = ( c_2Ebag_2EEMPTY__BAG @ A_27a ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2ESING__EL__BAG,axiom,
% 5.64/5.87 ! [A_27a: del,V0e: $i] :
% 5.64/5.87 ( ( mem @ V0e @ A_27a )
% 5.64/5.87 => ( p @ ( ap @ ( c_2Ebag_2ESING__BAG @ A_27a ) @ ( ap @ ( c_2Ebag_2EEL__BAG @ A_27a ) @ V0e ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__INSERT__UNION,axiom,
% 5.64/5.87 ! [A_27a: del,V0b: $i] :
% 5.64/5.87 ( ( mem @ V0b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1e: $i] :
% 5.64/5.87 ( ( mem @ V1e @ A_27a )
% 5.64/5.87 => ( ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ A_27a ) @ V1e ) @ V0b )
% 5.64/5.87 = ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ ( ap @ ( c_2Ebag_2EEL__BAG @ A_27a ) @ V1e ) ) @ V0b ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__INSERT__EQ__UNION,axiom,
% 5.64/5.87 ! [A_27a: del,V0e: $i] :
% 5.64/5.87 ( ( mem @ V0e @ A_27a )
% 5.64/5.87 => ! [V1b1: $i] :
% 5.64/5.87 ( ( mem @ V1b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V2b2: $i] :
% 5.64/5.87 ( ( mem @ V2b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V3b: $i] :
% 5.64/5.87 ( ( mem @ V3b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ A_27a ) @ V0e ) @ V3b )
% 5.64/5.87 = ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V1b1 ) @ V2b2 ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__IN @ A_27a ) @ V0e ) @ V1b1 ) )
% 5.64/5.87 | ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__IN @ A_27a ) @ V0e ) @ V2b2 ) ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__DELETE__SING,axiom,
% 5.64/5.87 ! [A_27a: del,V0b: $i] :
% 5.64/5.87 ( ( mem @ V0b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1e: $i] :
% 5.64/5.87 ( ( mem @ V1e @ A_27a )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__DELETE @ A_27a ) @ V0b ) @ V1e ) @ ( c_2Ebag_2EEMPTY__BAG @ A_27a ) ) )
% 5.64/5.87 => ( p @ ( ap @ ( c_2Ebag_2ESING__BAG @ A_27a ) @ V0b ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2ENOT__IN__EMPTY__BAG,axiom,
% 5.64/5.87 ! [A_27a: del,V0x: $i] :
% 5.64/5.87 ( ( mem @ V0x @ A_27a )
% 5.64/5.87 => ~ ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__IN @ A_27a ) @ V0x ) @ ( c_2Ebag_2EEMPTY__BAG @ A_27a ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__INN__EMPTY__BAG,axiom,
% 5.64/5.87 ! [A_27a: del,V0e: $i] :
% 5.64/5.87 ( ( mem @ V0e @ A_27a )
% 5.64/5.87 => ! [V1n: tp__ty_2Enum_2Enum] :
% 5.64/5.87 ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__INN @ A_27a ) @ V0e ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( c_2Ebag_2EEMPTY__BAG @ A_27a ) ) )
% 5.64/5.87 <=> ( V1n = fo__c_2Enum_2E0 ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EMEMBER__NOT__EMPTY,axiom,
% 5.64/5.87 ! [A_27a: del,V0b: $i] :
% 5.64/5.87 ( ( mem @ V0b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ? [V1x: $i] :
% 5.64/5.87 ( ( mem @ V1x @ A_27a )
% 5.64/5.87 & ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__IN @ A_27a ) @ V1x ) @ V0b ) ) )
% 5.64/5.87 <=> ( V0b
% 5.64/5.87 != ( c_2Ebag_2EEMPTY__BAG @ A_27a ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2ESUB__BAG__LEQ,axiom,
% 5.64/5.87 ! [A_27a: del,V0b1: $i] :
% 5.64/5.87 ( ( mem @ V0b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1b2: $i] :
% 5.64/5.87 ( ( mem @ V1b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ V0b1 ) @ V1b2 ) )
% 5.64/5.87 <=> ! [V2x: $i] :
% 5.64/5.87 ( ( mem @ V2x @ A_27a )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ V0b1 @ V2x ) ) @ ( ap @ V1b2 @ V2x ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2ESUB__BAG__EMPTY,axiom,
% 5.64/5.87 ! [A_27a: del] :
% 5.64/5.87 ( ! [V0b: $i] :
% 5.64/5.87 ( ( mem @ V0b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ ( c_2Ebag_2EEMPTY__BAG @ A_27a ) ) @ V0b ) ) )
% 5.64/5.87 & ! [V1b: $i] :
% 5.64/5.87 ( ( mem @ V1b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ V1b ) @ ( c_2Ebag_2EEMPTY__BAG @ A_27a ) ) )
% 5.64/5.87 <=> ( V1b
% 5.64/5.87 = ( c_2Ebag_2EEMPTY__BAG @ A_27a ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2ESUB__BAG__REFL,axiom,
% 5.64/5.87 ! [A_27a: del,V0b: $i] :
% 5.64/5.87 ( ( mem @ V0b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ V0b ) @ V0b ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EPSUB__BAG__IRREFL,axiom,
% 5.64/5.87 ! [A_27a: del,V0b: $i] :
% 5.64/5.87 ( ( mem @ V0b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ~ ( p @ ( ap @ ( ap @ ( c_2Ebag_2EPSUB__BAG @ A_27a ) @ V0b ) @ V0b ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2ESUB__BAG__ANTISYM,axiom,
% 5.64/5.87 ! [A_27a: del,V0b1: $i] :
% 5.64/5.87 ( ( mem @ V0b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1b2: $i] :
% 5.64/5.87 ( ( mem @ V1b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ V0b1 ) @ V1b2 ) )
% 5.64/5.87 & ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ V1b2 ) @ V0b1 ) ) )
% 5.64/5.87 => ( V0b1 = V1b2 ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EPSUB__BAG__ANTISYM,axiom,
% 5.64/5.87 ! [A_27a: del,V0b1: $i] :
% 5.64/5.87 ( ( mem @ V0b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1b2: $i] :
% 5.64/5.87 ( ( mem @ V1b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ~ ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2EPSUB__BAG @ A_27a ) @ V0b1 ) @ V1b2 ) )
% 5.64/5.87 & ( p @ ( ap @ ( ap @ ( c_2Ebag_2EPSUB__BAG @ A_27a ) @ V1b2 ) @ V0b1 ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2ESUB__BAG__TRANS,axiom,
% 5.64/5.87 ! [A_27a: del,V0b1: $i] :
% 5.64/5.87 ( ( mem @ V0b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1b2: $i] :
% 5.64/5.87 ( ( mem @ V1b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V2b3: $i] :
% 5.64/5.87 ( ( mem @ V2b3 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ V0b1 ) @ V1b2 ) )
% 5.64/5.87 & ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ V1b2 ) @ V2b3 ) ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ V0b1 ) @ V2b3 ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EPSUB__BAG__TRANS,axiom,
% 5.64/5.87 ! [A_27a: del,V0b1: $i] :
% 5.64/5.87 ( ( mem @ V0b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1b2: $i] :
% 5.64/5.87 ( ( mem @ V1b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V2b3: $i] :
% 5.64/5.87 ( ( mem @ V2b3 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2EPSUB__BAG @ A_27a ) @ V0b1 ) @ V1b2 ) )
% 5.64/5.87 & ( p @ ( ap @ ( ap @ ( c_2Ebag_2EPSUB__BAG @ A_27a ) @ V1b2 ) @ V2b3 ) ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ ( c_2Ebag_2EPSUB__BAG @ A_27a ) @ V0b1 ) @ V2b3 ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EPSUB__BAG__SUB__BAG,axiom,
% 5.64/5.87 ! [A_27a: del,V0b1: $i] :
% 5.64/5.87 ( ( mem @ V0b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1b2: $i] :
% 5.64/5.87 ( ( mem @ V1b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2EPSUB__BAG @ A_27a ) @ V0b1 ) @ V1b2 ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ V0b1 ) @ V1b2 ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EPSUB__BAG__NOT__EQ,axiom,
% 5.64/5.87 ! [A_27a: del,V0b1: $i] :
% 5.64/5.87 ( ( mem @ V0b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1b2: $i] :
% 5.64/5.87 ( ( mem @ V1b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2EPSUB__BAG @ A_27a ) @ V0b1 ) @ V1b2 ) )
% 5.64/5.87 => ( V0b1 != V1b2 ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__DIFF__EMPTY,axiom,
% 5.64/5.87 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del] :
% 5.64/5.87 ( ! [V0b: $i] :
% 5.64/5.87 ( ( mem @ V0b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( ap @ ( ap @ ( c_2Ebag_2EBAG__DIFF @ A_27a ) @ V0b ) @ V0b )
% 5.64/5.87 = ( c_2Ebag_2EEMPTY__BAG @ A_27a ) ) )
% 5.64/5.87 & ! [V1b: $i] :
% 5.64/5.87 ( ( mem @ V1b @ ( arr @ A_27b @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( ap @ ( ap @ ( c_2Ebag_2EBAG__DIFF @ A_27b ) @ V1b ) @ ( c_2Ebag_2EEMPTY__BAG @ A_27b ) )
% 5.64/5.87 = V1b ) )
% 5.64/5.87 & ! [V2b: $i] :
% 5.64/5.87 ( ( mem @ V2b @ ( arr @ A_27c @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( ap @ ( ap @ ( c_2Ebag_2EBAG__DIFF @ A_27c ) @ ( c_2Ebag_2EEMPTY__BAG @ A_27c ) ) @ V2b )
% 5.64/5.87 = ( c_2Ebag_2EEMPTY__BAG @ A_27c ) ) )
% 5.64/5.87 & ! [V3b1: $i] :
% 5.64/5.87 ( ( mem @ V3b1 @ ( arr @ A_27d @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V4b2: $i] :
% 5.64/5.87 ( ( mem @ V4b2 @ ( arr @ A_27d @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27d ) @ V3b1 ) @ V4b2 ) )
% 5.64/5.87 => ( ( ap @ ( ap @ ( c_2Ebag_2EBAG__DIFF @ A_27d ) @ V3b1 ) @ V4b2 )
% 5.64/5.87 = ( c_2Ebag_2EEMPTY__BAG @ A_27d ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__DIFF__EMPTY__simple,axiom,
% 5.64/5.87 ! [A_27a: del,A_27b: del,A_27c: del] :
% 5.64/5.87 ( ! [V0b: $i] :
% 5.64/5.87 ( ( mem @ V0b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( ap @ ( ap @ ( c_2Ebag_2EBAG__DIFF @ A_27a ) @ V0b ) @ V0b )
% 5.64/5.87 = ( c_2Ebag_2EEMPTY__BAG @ A_27a ) ) )
% 5.64/5.87 & ! [V1b: $i] :
% 5.64/5.87 ( ( mem @ V1b @ ( arr @ A_27b @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( ap @ ( ap @ ( c_2Ebag_2EBAG__DIFF @ A_27b ) @ V1b ) @ ( c_2Ebag_2EEMPTY__BAG @ A_27b ) )
% 5.64/5.87 = V1b ) )
% 5.64/5.87 & ! [V2b: $i] :
% 5.64/5.87 ( ( mem @ V2b @ ( arr @ A_27c @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( ap @ ( ap @ ( c_2Ebag_2EBAG__DIFF @ A_27c ) @ ( c_2Ebag_2EEMPTY__BAG @ A_27c ) ) @ V2b )
% 5.64/5.87 = ( c_2Ebag_2EEMPTY__BAG @ A_27c ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__DIFF__EQ__EMPTY,axiom,
% 5.64/5.87 ! [A_27a: del,V0b: $i] :
% 5.64/5.87 ( ( mem @ V0b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1c: $i] :
% 5.64/5.87 ( ( mem @ V1c @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( ( ap @ ( ap @ ( c_2Ebag_2EBAG__DIFF @ A_27a ) @ V0b ) @ V1c )
% 5.64/5.87 = ( c_2Ebag_2EEMPTY__BAG @ A_27a ) )
% 5.64/5.87 <=> ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ V0b ) @ V1c ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__DIFF__INSERT__same,axiom,
% 5.64/5.87 ! [A_27a: del,V0x: $i] :
% 5.64/5.87 ( ( mem @ V0x @ A_27a )
% 5.64/5.87 => ! [V1b1: $i] :
% 5.64/5.87 ( ( mem @ V1b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V2b2: $i] :
% 5.64/5.87 ( ( mem @ V2b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( ap @ ( ap @ ( c_2Ebag_2EBAG__DIFF @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ A_27a ) @ V0x ) @ V1b1 ) ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ A_27a ) @ V0x ) @ V2b2 ) )
% 5.64/5.87 = ( ap @ ( ap @ ( c_2Ebag_2EBAG__DIFF @ A_27a ) @ V1b1 ) @ V2b2 ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__DIFF__INSERT,axiom,
% 5.64/5.87 ! [A_27a: del,V0x: $i] :
% 5.64/5.87 ( ( mem @ V0x @ A_27a )
% 5.64/5.87 => ! [V1b1: $i] :
% 5.64/5.87 ( ( mem @ V1b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V2b2: $i] :
% 5.64/5.87 ( ( mem @ V2b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ~ ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__IN @ A_27a ) @ V0x ) @ V1b1 ) )
% 5.64/5.87 => ( ( ap @ ( ap @ ( c_2Ebag_2EBAG__DIFF @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ A_27a ) @ V0x ) @ V2b2 ) ) @ V1b1 )
% 5.64/5.87 = ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ A_27a ) @ V0x ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__DIFF @ A_27a ) @ V2b2 ) @ V1b1 ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2ENOT__IN__BAG__DIFF,axiom,
% 5.64/5.87 ! [A_27a: del,V0x: $i] :
% 5.64/5.87 ( ( mem @ V0x @ A_27a )
% 5.64/5.87 => ! [V1b1: $i] :
% 5.64/5.87 ( ( mem @ V1b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V2b2: $i] :
% 5.64/5.87 ( ( mem @ V2b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ~ ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__IN @ A_27a ) @ V0x ) @ V1b1 ) )
% 5.64/5.87 => ( ( ap @ ( ap @ ( c_2Ebag_2EBAG__DIFF @ A_27a ) @ V1b1 ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ A_27a ) @ V0x ) @ V2b2 ) )
% 5.64/5.87 = ( ap @ ( ap @ ( c_2Ebag_2EBAG__DIFF @ A_27a ) @ V1b1 ) @ V2b2 ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__IN__DIFF__I,axiom,
% 5.64/5.87 ! [A_27a: del,V0e: $i] :
% 5.64/5.87 ( ( mem @ V0e @ A_27a )
% 5.64/5.87 => ! [V1b1: $i] :
% 5.64/5.87 ( ( mem @ V1b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V2b2: $i] :
% 5.64/5.87 ( ( mem @ V2b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__IN @ A_27a ) @ V0e ) @ V1b1 ) )
% 5.64/5.87 & ~ ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__IN @ A_27a ) @ V0e ) @ V2b2 ) ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__IN @ A_27a ) @ V0e ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__DIFF @ A_27a ) @ V1b1 ) @ V2b2 ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__IN__DIFF__E,axiom,
% 5.64/5.87 ! [A_27a: del,V0e: $i] :
% 5.64/5.87 ( ( mem @ V0e @ A_27a )
% 5.64/5.87 => ! [V1b1: $i] :
% 5.64/5.87 ( ( mem @ V1b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V2b2: $i] :
% 5.64/5.87 ( ( mem @ V2b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__IN @ A_27a ) @ V0e ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__DIFF @ A_27a ) @ V1b1 ) @ V2b2 ) ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__IN @ A_27a ) @ V0e ) @ V1b1 ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__UNION__DIFF,axiom,
% 5.64/5.87 ! [A_27a: del,V0X: $i] :
% 5.64/5.87 ( ( mem @ V0X @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1Y: $i] :
% 5.64/5.87 ( ( mem @ V1Y @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V2Z: $i] :
% 5.64/5.87 ( ( mem @ V2Z @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ V2Z ) @ V1Y ) )
% 5.64/5.87 => ( ( ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V0X ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__DIFF @ A_27a ) @ V1Y ) @ V2Z ) )
% 5.64/5.87 = ( ap @ ( ap @ ( c_2Ebag_2EBAG__DIFF @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V0X ) @ V1Y ) ) @ V2Z ) )
% 5.64/5.87 & ( ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__DIFF @ A_27a ) @ V1Y ) @ V2Z ) ) @ V0X )
% 5.64/5.87 = ( ap @ ( ap @ ( c_2Ebag_2EBAG__DIFF @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V0X ) @ V1Y ) ) @ V2Z ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__DIFF__2L,axiom,
% 5.64/5.87 ! [A_27a: del,V0X: $i] :
% 5.64/5.87 ( ( mem @ V0X @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1Y: $i] :
% 5.64/5.87 ( ( mem @ V1Y @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V2Z: $i] :
% 5.64/5.87 ( ( mem @ V2Z @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( ap @ ( ap @ ( c_2Ebag_2EBAG__DIFF @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__DIFF @ A_27a ) @ V0X ) @ V1Y ) ) @ V2Z )
% 5.64/5.87 = ( ap @ ( ap @ ( c_2Ebag_2EBAG__DIFF @ A_27a ) @ V0X ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V1Y ) @ V2Z ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__DIFF__2R,axiom,
% 5.64/5.87 ! [A_27a: del,V0A: $i] :
% 5.64/5.87 ( ( mem @ V0A @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1B: $i] :
% 5.64/5.87 ( ( mem @ V1B @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V2C: $i] :
% 5.64/5.87 ( ( mem @ V2C @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ V2C ) @ V1B ) )
% 5.64/5.87 => ( ( ap @ ( ap @ ( c_2Ebag_2EBAG__DIFF @ A_27a ) @ V0A ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__DIFF @ A_27a ) @ V1B ) @ V2C ) )
% 5.64/5.87 = ( ap @ ( ap @ ( c_2Ebag_2EBAG__DIFF @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V0A ) @ V2C ) ) @ V1B ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2ESUB__BAG__BAG__DIFF,axiom,
% 5.64/5.87 ! [A_27a: del,V0X: $i] :
% 5.64/5.87 ( ( mem @ V0X @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1Y: $i] :
% 5.64/5.87 ( ( mem @ V1Y @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V2Y_27: $i] :
% 5.64/5.87 ( ( mem @ V2Y_27 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V3Z: $i] :
% 5.64/5.87 ( ( mem @ V3Z @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V4W: $i] :
% 5.64/5.87 ( ( mem @ V4W @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__DIFF @ A_27a ) @ V0X ) @ V1Y ) ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__DIFF @ A_27a ) @ V3Z ) @ V4W ) ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__DIFF @ A_27a ) @ V0X ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V1Y ) @ V2Y_27 ) ) ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__DIFF @ A_27a ) @ V3Z ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V4W ) @ V2Y_27 ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__DIFF__UNION__eliminate,axiom,
% 5.64/5.87 ! [A_27a: del,V0b1: $i] :
% 5.64/5.87 ( ( mem @ V0b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1b2: $i] :
% 5.64/5.87 ( ( mem @ V1b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V2b3: $i] :
% 5.64/5.87 ( ( mem @ V2b3 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( ( ap @ ( ap @ ( c_2Ebag_2EBAG__DIFF @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V0b1 ) @ V1b2 ) ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V0b1 ) @ V2b3 ) )
% 5.64/5.87 = ( ap @ ( ap @ ( c_2Ebag_2EBAG__DIFF @ A_27a ) @ V1b2 ) @ V2b3 ) )
% 5.64/5.87 & ( ( ap @ ( ap @ ( c_2Ebag_2EBAG__DIFF @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V0b1 ) @ V1b2 ) ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V2b3 ) @ V0b1 ) )
% 5.64/5.87 = ( ap @ ( ap @ ( c_2Ebag_2EBAG__DIFF @ A_27a ) @ V1b2 ) @ V2b3 ) )
% 5.64/5.87 & ( ( ap @ ( ap @ ( c_2Ebag_2EBAG__DIFF @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V1b2 ) @ V0b1 ) ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V0b1 ) @ V2b3 ) )
% 5.64/5.87 = ( ap @ ( ap @ ( c_2Ebag_2EBAG__DIFF @ A_27a ) @ V1b2 ) @ V2b3 ) )
% 5.64/5.87 & ( ( ap @ ( ap @ ( c_2Ebag_2EBAG__DIFF @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V1b2 ) @ V0b1 ) ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V2b3 ) @ V0b1 ) )
% 5.64/5.87 = ( ap @ ( ap @ ( c_2Ebag_2EBAG__DIFF @ A_27a ) @ V1b2 ) @ V2b3 ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2ESUB__BAG__UNION__eliminate,axiom,
% 5.64/5.87 ! [A_27a: del,V0b1: $i] :
% 5.64/5.87 ( ( mem @ V0b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1b2: $i] :
% 5.64/5.87 ( ( mem @ V1b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V2b3: $i] :
% 5.64/5.87 ( ( mem @ V2b3 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V0b1 ) @ V1b2 ) ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V0b1 ) @ V2b3 ) ) )
% 5.64/5.87 <=> ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ V1b2 ) @ V2b3 ) ) )
% 5.64/5.87 & ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V0b1 ) @ V1b2 ) ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V2b3 ) @ V0b1 ) ) )
% 5.64/5.87 <=> ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ V1b2 ) @ V2b3 ) ) )
% 5.64/5.87 & ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V1b2 ) @ V0b1 ) ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V0b1 ) @ V2b3 ) ) )
% 5.64/5.87 <=> ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ V1b2 ) @ V2b3 ) ) )
% 5.64/5.87 & ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V1b2 ) @ V0b1 ) ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V2b3 ) @ V0b1 ) ) )
% 5.64/5.87 <=> ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ V1b2 ) @ V2b3 ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2Emove__BAG__UNION__over__eq,axiom,
% 5.64/5.87 ! [A_27a: del,V0X: $i] :
% 5.64/5.87 ( ( mem @ V0X @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1Y: $i] :
% 5.64/5.87 ( ( mem @ V1Y @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V2Z: $i] :
% 5.64/5.87 ( ( mem @ V2Z @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V0X ) @ V1Y )
% 5.64/5.87 = V2Z )
% 5.64/5.87 => ( V0X
% 5.64/5.87 = ( ap @ ( ap @ ( c_2Ebag_2EBAG__DIFF @ A_27a ) @ V2Z ) @ V1Y ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2ESUB__BAG__UNION,axiom,
% 5.64/5.87 ! [A_27a: del] :
% 5.64/5.87 ( ! [V0b1: $i] :
% 5.64/5.87 ( ( mem @ V0b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1b2: $i] :
% 5.64/5.87 ( ( mem @ V1b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ V0b1 ) @ V1b2 ) )
% 5.64/5.87 => ! [V2b: $i] :
% 5.64/5.87 ( ( mem @ V2b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ V0b1 ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V1b2 ) @ V2b ) ) ) ) ) ) )
% 5.64/5.87 & ! [V3b1: $i] :
% 5.64/5.87 ( ( mem @ V3b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V4b2: $i] :
% 5.64/5.87 ( ( mem @ V4b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ V3b1 ) @ V4b2 ) )
% 5.64/5.87 => ! [V5b: $i] :
% 5.64/5.87 ( ( mem @ V5b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ V3b1 ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V5b ) @ V4b2 ) ) ) ) ) ) )
% 5.64/5.87 & ! [V6b1: $i] :
% 5.64/5.87 ( ( mem @ V6b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V7b2: $i] :
% 5.64/5.87 ( ( mem @ V7b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V8b3: $i] :
% 5.64/5.87 ( ( mem @ V8b3 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ V6b1 ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V7b2 ) @ V8b3 ) ) )
% 5.64/5.87 => ! [V9b: $i] :
% 5.64/5.87 ( ( mem @ V9b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ V6b1 ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V7b2 ) @ V9b ) ) @ V8b3 ) ) ) ) ) ) ) )
% 5.64/5.87 & ! [V10b1: $i] :
% 5.64/5.87 ( ( mem @ V10b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V11b2: $i] :
% 5.64/5.87 ( ( mem @ V11b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V12b3: $i] :
% 5.64/5.87 ( ( mem @ V12b3 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ V10b1 ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V11b2 ) @ V12b3 ) ) )
% 5.64/5.87 => ! [V13b: $i] :
% 5.64/5.87 ( ( mem @ V13b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ V10b1 ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V13b ) @ V11b2 ) ) @ V12b3 ) ) ) ) ) ) ) )
% 5.64/5.87 & ! [V14b1: $i] :
% 5.64/5.87 ( ( mem @ V14b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V15b2: $i] :
% 5.64/5.87 ( ( mem @ V15b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V16b3: $i] :
% 5.64/5.87 ( ( mem @ V16b3 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ V14b1 ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V16b3 ) @ V15b2 ) ) )
% 5.64/5.87 => ! [V17b: $i] :
% 5.64/5.87 ( ( mem @ V17b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ V14b1 ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V16b3 ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V15b2 ) @ V17b ) ) ) ) ) ) ) ) )
% 5.64/5.87 & ! [V18b1: $i] :
% 5.64/5.87 ( ( mem @ V18b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V19b2: $i] :
% 5.64/5.87 ( ( mem @ V19b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V20b3: $i] :
% 5.64/5.87 ( ( mem @ V20b3 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ V18b1 ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V20b3 ) @ V19b2 ) ) )
% 5.64/5.87 => ! [V21b: $i] :
% 5.64/5.87 ( ( mem @ V21b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ V18b1 ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V20b3 ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V21b ) @ V19b2 ) ) ) ) ) ) ) ) )
% 5.64/5.87 & ! [V22b1: $i] :
% 5.64/5.87 ( ( mem @ V22b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V23b2: $i] :
% 5.64/5.87 ( ( mem @ V23b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V24b3: $i] :
% 5.64/5.87 ( ( mem @ V24b3 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V25b4: $i] :
% 5.64/5.87 ( ( mem @ V25b4 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ V22b1 ) @ V24b3 ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ V23b2 ) @ V25b4 ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V22b1 ) @ V23b2 ) ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V24b3 ) @ V25b4 ) ) ) ) ) ) ) ) )
% 5.64/5.87 & ! [V26b1: $i] :
% 5.64/5.87 ( ( mem @ V26b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V27b2: $i] :
% 5.64/5.87 ( ( mem @ V27b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V28b3: $i] :
% 5.64/5.87 ( ( mem @ V28b3 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V29b4: $i] :
% 5.64/5.87 ( ( mem @ V29b4 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ V26b1 ) @ V29b4 ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ V27b2 ) @ V28b3 ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V26b1 ) @ V27b2 ) ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V28b3 ) @ V29b4 ) ) ) ) ) ) ) ) )
% 5.64/5.87 & ! [V30b1: $i] :
% 5.64/5.87 ( ( mem @ V30b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V31b2: $i] :
% 5.64/5.87 ( ( mem @ V31b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V32b3: $i] :
% 5.64/5.87 ( ( mem @ V32b3 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V33b4: $i] :
% 5.64/5.87 ( ( mem @ V33b4 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V34b5: $i] :
% 5.64/5.87 ( ( mem @ V34b5 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ V30b1 ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V32b3 ) @ V34b5 ) ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ V31b2 ) @ V33b4 ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V30b1 ) @ V31b2 ) ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V32b3 ) @ V33b4 ) ) @ V34b5 ) ) ) ) ) ) ) ) ) )
% 5.64/5.87 & ! [V35b1: $i] :
% 5.64/5.87 ( ( mem @ V35b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V36b2: $i] :
% 5.64/5.87 ( ( mem @ V36b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V37b3: $i] :
% 5.64/5.87 ( ( mem @ V37b3 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V38b4: $i] :
% 5.64/5.87 ( ( mem @ V38b4 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V39b5: $i] :
% 5.64/5.87 ( ( mem @ V39b5 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ V35b1 ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V38b4 ) @ V39b5 ) ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ V36b2 ) @ V37b3 ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V35b1 ) @ V36b2 ) ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V37b3 ) @ V38b4 ) ) @ V39b5 ) ) ) ) ) ) ) ) ) )
% 5.64/5.87 & ! [V40b1: $i] :
% 5.64/5.87 ( ( mem @ V40b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V41b2: $i] :
% 5.64/5.87 ( ( mem @ V41b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V42b3: $i] :
% 5.64/5.87 ( ( mem @ V42b3 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V43b4: $i] :
% 5.64/5.87 ( ( mem @ V43b4 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V44b5: $i] :
% 5.64/5.87 ( ( mem @ V44b5 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ V41b2 ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V42b3 ) @ V44b5 ) ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ V40b1 ) @ V43b4 ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V40b1 ) @ V41b2 ) ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V42b3 ) @ V43b4 ) ) @ V44b5 ) ) ) ) ) ) ) ) ) )
% 5.64/5.87 & ! [V45b1: $i] :
% 5.64/5.87 ( ( mem @ V45b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V46b2: $i] :
% 5.64/5.87 ( ( mem @ V46b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V47b3: $i] :
% 5.64/5.87 ( ( mem @ V47b3 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V48b4: $i] :
% 5.64/5.87 ( ( mem @ V48b4 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V49b5: $i] :
% 5.64/5.87 ( ( mem @ V49b5 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ V46b2 ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V48b4 ) @ V49b5 ) ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ V45b1 ) @ V47b3 ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V45b1 ) @ V46b2 ) ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V47b3 ) @ V48b4 ) ) @ V49b5 ) ) ) ) ) ) ) ) ) )
% 5.64/5.87 & ! [V50b1: $i] :
% 5.64/5.87 ( ( mem @ V50b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V51b2: $i] :
% 5.64/5.87 ( ( mem @ V51b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V52b3: $i] :
% 5.64/5.87 ( ( mem @ V52b3 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V53b4: $i] :
% 5.64/5.87 ( ( mem @ V53b4 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V54b5: $i] :
% 5.64/5.87 ( ( mem @ V54b5 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ V50b1 ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V54b5 ) @ V52b3 ) ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ V51b2 ) @ V53b4 ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V51b2 ) @ V50b1 ) ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V54b5 ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V52b3 ) @ V53b4 ) ) ) ) ) ) ) ) ) ) )
% 5.64/5.87 & ! [V55b1: $i] :
% 5.64/5.87 ( ( mem @ V55b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V56b2: $i] :
% 5.64/5.87 ( ( mem @ V56b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V57b3: $i] :
% 5.64/5.87 ( ( mem @ V57b3 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V58b4: $i] :
% 5.64/5.87 ( ( mem @ V58b4 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V59b5: $i] :
% 5.64/5.87 ( ( mem @ V59b5 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ V55b1 ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V59b5 ) @ V58b4 ) ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ V56b2 ) @ V57b3 ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V56b2 ) @ V55b1 ) ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V59b5 ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V57b3 ) @ V58b4 ) ) ) ) ) ) ) ) ) ) )
% 5.64/5.87 & ! [V60b1: $i] :
% 5.64/5.87 ( ( mem @ V60b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V61b2: $i] :
% 5.64/5.87 ( ( mem @ V61b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V62b3: $i] :
% 5.64/5.87 ( ( mem @ V62b3 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V63b4: $i] :
% 5.64/5.87 ( ( mem @ V63b4 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V64b5: $i] :
% 5.64/5.87 ( ( mem @ V64b5 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ V61b2 ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V64b5 ) @ V62b3 ) ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ V60b1 ) @ V63b4 ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V61b2 ) @ V60b1 ) ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V64b5 ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V62b3 ) @ V63b4 ) ) ) ) ) ) ) ) ) ) )
% 5.64/5.87 & ! [V65b1: $i] :
% 5.64/5.87 ( ( mem @ V65b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V66b2: $i] :
% 5.64/5.87 ( ( mem @ V66b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V67b3: $i] :
% 5.64/5.87 ( ( mem @ V67b3 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V68b4: $i] :
% 5.64/5.87 ( ( mem @ V68b4 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V69b5: $i] :
% 5.64/5.87 ( ( mem @ V69b5 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ V66b2 ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V69b5 ) @ V68b4 ) ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ V65b1 ) @ V67b3 ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V66b2 ) @ V65b1 ) ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V69b5 ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V67b3 ) @ V68b4 ) ) ) ) ) ) ) ) ) ) )
% 5.64/5.87 & ! [V70b1: $i] :
% 5.64/5.87 ( ( mem @ V70b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V71b2: $i] :
% 5.64/5.87 ( ( mem @ V71b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V72b3: $i] :
% 5.64/5.87 ( ( mem @ V72b3 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V73b4: $i] :
% 5.64/5.87 ( ( mem @ V73b4 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V74b5: $i] :
% 5.64/5.87 ( ( mem @ V74b5 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V70b1 ) @ V71b2 ) ) @ V73b4 ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ V72b3 ) @ V74b5 ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V70b1 ) @ V72b3 ) ) @ V71b2 ) ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V73b4 ) @ V74b5 ) ) ) ) ) ) ) ) ) )
% 5.64/5.87 & ! [V75b1: $i] :
% 5.64/5.87 ( ( mem @ V75b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V76b2: $i] :
% 5.64/5.87 ( ( mem @ V76b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V77b3: $i] :
% 5.64/5.87 ( ( mem @ V77b3 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V78b4: $i] :
% 5.64/5.87 ( ( mem @ V78b4 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V79b5: $i] :
% 5.64/5.87 ( ( mem @ V79b5 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V75b1 ) @ V76b2 ) ) @ V79b5 ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ V77b3 ) @ V78b4 ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V75b1 ) @ V77b3 ) ) @ V76b2 ) ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V78b4 ) @ V79b5 ) ) ) ) ) ) ) ) ) )
% 5.64/5.87 & ! [V80b1: $i] :
% 5.64/5.87 ( ( mem @ V80b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V81b2: $i] :
% 5.64/5.87 ( ( mem @ V81b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V82b3: $i] :
% 5.64/5.87 ( ( mem @ V82b3 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V83b4: $i] :
% 5.64/5.87 ( ( mem @ V83b4 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V84b5: $i] :
% 5.64/5.87 ( ( mem @ V84b5 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V82b3 ) @ V81b2 ) ) @ V83b4 ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ V80b1 ) @ V84b5 ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V80b1 ) @ V82b3 ) ) @ V81b2 ) ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V83b4 ) @ V84b5 ) ) ) ) ) ) ) ) ) )
% 5.64/5.87 & ! [V85b1: $i] :
% 5.64/5.87 ( ( mem @ V85b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V86b2: $i] :
% 5.64/5.87 ( ( mem @ V86b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V87b3: $i] :
% 5.64/5.87 ( ( mem @ V87b3 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V88b4: $i] :
% 5.64/5.87 ( ( mem @ V88b4 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V89b5: $i] :
% 5.64/5.87 ( ( mem @ V89b5 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V87b3 ) @ V86b2 ) ) @ V89b5 ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ V85b1 ) @ V88b4 ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V85b1 ) @ V87b3 ) ) @ V86b2 ) ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V88b4 ) @ V89b5 ) ) ) ) ) ) ) ) ) )
% 5.64/5.87 & ! [V90b1: $i] :
% 5.64/5.87 ( ( mem @ V90b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V91b2: $i] :
% 5.64/5.87 ( ( mem @ V91b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V92b3: $i] :
% 5.64/5.87 ( ( mem @ V92b3 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V93b4: $i] :
% 5.64/5.87 ( ( mem @ V93b4 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V94b5: $i] :
% 5.64/5.87 ( ( mem @ V94b5 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V91b2 ) @ V90b1 ) ) @ V93b4 ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ V92b3 ) @ V94b5 ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V91b2 ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V90b1 ) @ V92b3 ) ) ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V94b5 ) @ V93b4 ) ) ) ) ) ) ) ) ) )
% 5.64/5.87 & ! [V95b1: $i] :
% 5.64/5.87 ( ( mem @ V95b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V96b2: $i] :
% 5.64/5.87 ( ( mem @ V96b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V97b3: $i] :
% 5.64/5.87 ( ( mem @ V97b3 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V98b4: $i] :
% 5.64/5.87 ( ( mem @ V98b4 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V99b5: $i] :
% 5.64/5.87 ( ( mem @ V99b5 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V96b2 ) @ V95b1 ) ) @ V99b5 ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ V97b3 ) @ V98b4 ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V96b2 ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V95b1 ) @ V97b3 ) ) ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V99b5 ) @ V98b4 ) ) ) ) ) ) ) ) ) )
% 5.64/5.87 & ! [V100b1: $i] :
% 5.64/5.87 ( ( mem @ V100b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V101b2: $i] :
% 5.64/5.87 ( ( mem @ V101b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V102b3: $i] :
% 5.64/5.87 ( ( mem @ V102b3 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V103b4: $i] :
% 5.64/5.87 ( ( mem @ V103b4 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V104b5: $i] :
% 5.64/5.87 ( ( mem @ V104b5 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V101b2 ) @ V102b3 ) ) @ V103b4 ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ V100b1 ) @ V104b5 ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V101b2 ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V100b1 ) @ V102b3 ) ) ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V104b5 ) @ V103b4 ) ) ) ) ) ) ) ) ) )
% 5.64/5.87 & ! [V105b1: $i] :
% 5.64/5.87 ( ( mem @ V105b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V106b2: $i] :
% 5.64/5.87 ( ( mem @ V106b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V107b3: $i] :
% 5.64/5.87 ( ( mem @ V107b3 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V108b4: $i] :
% 5.64/5.87 ( ( mem @ V108b4 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V109b5: $i] :
% 5.64/5.87 ( ( mem @ V109b5 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V106b2 ) @ V107b3 ) ) @ V109b5 ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ V105b1 ) @ V108b4 ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V106b2 ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V105b1 ) @ V107b3 ) ) ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V109b5 ) @ V108b4 ) ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2ESUB__BAG__EL__BAG,axiom,
% 5.64/5.87 ! [A_27a: del,V0e: $i] :
% 5.64/5.87 ( ( mem @ V0e @ A_27a )
% 5.64/5.87 => ! [V1b: $i] :
% 5.64/5.87 ( ( mem @ V1b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ ( ap @ ( c_2Ebag_2EEL__BAG @ A_27a ) @ V0e ) ) @ V1b ) )
% 5.64/5.87 <=> ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__IN @ A_27a ) @ V0e ) @ V1b ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2ESUB__BAG__INSERT,axiom,
% 5.64/5.87 ! [A_27a: del,V0e: $i] :
% 5.64/5.87 ( ( mem @ V0e @ A_27a )
% 5.64/5.87 => ! [V1b1: $i] :
% 5.64/5.87 ( ( mem @ V1b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V2b2: $i] :
% 5.64/5.87 ( ( mem @ V2b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ A_27a ) @ V0e ) @ V1b1 ) ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ A_27a ) @ V0e ) @ V2b2 ) ) )
% 5.64/5.87 <=> ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ V1b1 ) @ V2b2 ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2ESUB__BAG__INSERT__I,axiom,
% 5.64/5.87 ! [A_27a: del,V0b: $i] :
% 5.64/5.87 ( ( mem @ V0b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1c: $i] :
% 5.64/5.87 ( ( mem @ V1c @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V2e: $i] :
% 5.64/5.87 ( ( mem @ V2e @ A_27a )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ V0b ) @ V1c ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ V0b ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ A_27a ) @ V2e ) @ V1c ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2ENOT__IN__SUB__BAG__INSERT,axiom,
% 5.64/5.87 ! [A_27a: del,V0b1: $i] :
% 5.64/5.87 ( ( mem @ V0b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1b2: $i] :
% 5.64/5.87 ( ( mem @ V1b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V2e: $i] :
% 5.64/5.87 ( ( mem @ V2e @ A_27a )
% 5.64/5.87 => ( ~ ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__IN @ A_27a ) @ V2e ) @ V0b1 ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ V0b1 ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ A_27a ) @ V2e ) @ V1b2 ) ) )
% 5.64/5.87 <=> ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ V0b1 ) @ V1b2 ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2ESUB__BAG__BAG__IN,axiom,
% 5.64/5.87 ! [A_27a: del,V0x: $i] :
% 5.64/5.87 ( ( mem @ V0x @ A_27a )
% 5.64/5.87 => ! [V1b1: $i] :
% 5.64/5.87 ( ( mem @ V1b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V2b2: $i] :
% 5.64/5.87 ( ( mem @ V2b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ A_27a ) @ V0x ) @ V1b1 ) ) @ V2b2 ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__IN @ A_27a ) @ V0x ) @ V2b2 ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2ESUB__BAG__EXISTS,axiom,
% 5.64/5.87 ! [A_27a: del,V0b1: $i] :
% 5.64/5.87 ( ( mem @ V0b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1b2: $i] :
% 5.64/5.87 ( ( mem @ V1b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ V0b1 ) @ V1b2 ) )
% 5.64/5.87 <=> ? [V2b: $i] :
% 5.64/5.87 ( ( mem @ V2b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 & ( V1b2
% 5.64/5.87 = ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V0b1 ) @ V2b ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2ESUB__BAG__UNION__DIFF,axiom,
% 5.64/5.87 ! [A_27a: del,V0b1: $i] :
% 5.64/5.87 ( ( mem @ V0b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1b2: $i] :
% 5.64/5.87 ( ( mem @ V1b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V2b3: $i] :
% 5.64/5.87 ( ( mem @ V2b3 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ V0b1 ) @ V2b3 ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ V1b2 ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__DIFF @ A_27a ) @ V2b3 ) @ V0b1 ) ) )
% 5.64/5.87 <=> ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V0b1 ) @ V1b2 ) ) @ V2b3 ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2ESUB__BAG__UNION__down,axiom,
% 5.64/5.87 ! [A_27a: del,V0b1: $i] :
% 5.64/5.87 ( ( mem @ V0b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1b2: $i] :
% 5.64/5.87 ( ( mem @ V1b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V2b3: $i] :
% 5.64/5.87 ( ( mem @ V2b3 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V0b1 ) @ V1b2 ) ) @ V2b3 ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ V0b1 ) @ V2b3 ) )
% 5.64/5.87 & ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ V1b2 ) @ V2b3 ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2ESUB__BAG__DIFF,axiom,
% 5.64/5.87 ! [A_27a: del] :
% 5.64/5.87 ( ! [V0b1: $i] :
% 5.64/5.87 ( ( mem @ V0b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1b2: $i] :
% 5.64/5.87 ( ( mem @ V1b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ V0b1 ) @ V1b2 ) )
% 5.64/5.87 => ! [V2b3: $i] :
% 5.64/5.87 ( ( mem @ V2b3 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__DIFF @ A_27a ) @ V0b1 ) @ V2b3 ) ) @ V1b2 ) ) ) ) ) )
% 5.64/5.87 & ! [V3b1: $i] :
% 5.64/5.87 ( ( mem @ V3b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V4b2: $i] :
% 5.64/5.87 ( ( mem @ V4b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V5b3: $i] :
% 5.64/5.87 ( ( mem @ V5b3 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V6b4: $i] :
% 5.64/5.87 ( ( mem @ V6b4 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ V4b2 ) @ V3b1 ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ V6b4 ) @ V5b3 ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__DIFF @ A_27a ) @ V3b1 ) @ V4b2 ) ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__DIFF @ A_27a ) @ V5b3 ) @ V6b4 ) ) )
% 5.64/5.87 <=> ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V3b1 ) @ V6b4 ) ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V4b2 ) @ V5b3 ) ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2ESUB__BAG__PSUB__BAG,axiom,
% 5.64/5.87 ! [A_27a: del,V0b1: $i] :
% 5.64/5.87 ( ( mem @ V0b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1b2: $i] :
% 5.64/5.87 ( ( mem @ V1b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ V0b1 ) @ V1b2 ) )
% 5.64/5.87 <=> ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2EPSUB__BAG @ A_27a ) @ V0b1 ) @ V1b2 ) )
% 5.64/5.87 | ( V0b1 = V1b2 ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__DELETE__PSUB__BAG,axiom,
% 5.64/5.87 ! [A_27a: del,V0b0: $i] :
% 5.64/5.87 ( ( mem @ V0b0 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1e: $i] :
% 5.64/5.87 ( ( mem @ V1e @ A_27a )
% 5.64/5.87 => ! [V2b: $i] :
% 5.64/5.87 ( ( mem @ V2b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__DELETE @ A_27a ) @ V0b0 ) @ V1e ) @ V2b ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ ( c_2Ebag_2EPSUB__BAG @ A_27a ) @ V2b ) @ V0b0 ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(ax_thm_2Ebag_2ESET__OF__BAG,axiom,
% 5.64/5.87 ! [A_27a: del,V0b: $i] :
% 5.64/5.87 ( ( mem @ V0b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( ap @ ( c_2Ebag_2ESET__OF__BAG @ A_27a ) @ V0b )
% 5.64/5.87 = ( lam @ A_27a
% 5.64/5.87 @ ^ [V1x: $i] : ( ap @ ( ap @ ( c_2Ebag_2EBAG__IN @ A_27a ) @ V1x ) @ V0b ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(ax_thm_2Ebag_2EBAG__OF__SET,axiom,
% 5.64/5.87 ! [A_27a: del,V0P: $i] :
% 5.64/5.87 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.64/5.87 => ( ( ap @ ( c_2Ebag_2EBAG__OF__SET @ A_27a ) @ V0P )
% 5.64/5.87 = ( lam @ A_27a
% 5.64/5.87 @ ^ [V1x: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V1x ) @ V0P ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2ESET__OF__EMPTY,axiom,
% 5.64/5.87 ! [A_27a: del] :
% 5.64/5.87 ( ( ap @ ( c_2Ebag_2EBAG__OF__SET @ A_27a ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) )
% 5.64/5.87 = ( c_2Ebag_2EEMPTY__BAG @ A_27a ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__IN__BAG__OF__SET,axiom,
% 5.64/5.87 ! [A_27a: del,V0P: $i] :
% 5.64/5.87 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.64/5.87 => ! [V1p: $i] :
% 5.64/5.87 ( ( mem @ V1p @ A_27a )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__IN @ A_27a ) @ V1p ) @ ( ap @ ( c_2Ebag_2EBAG__OF__SET @ A_27a ) @ V0P ) ) )
% 5.64/5.87 <=> ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V1p ) @ V0P ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__OF__EMPTY,axiom,
% 5.64/5.87 ! [A_27a: del] :
% 5.64/5.87 ( ( ap @ ( c_2Ebag_2ESET__OF__BAG @ A_27a ) @ ( c_2Ebag_2EEMPTY__BAG @ A_27a ) )
% 5.64/5.87 = ( c_2Epred__set_2EEMPTY @ A_27a ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2ESET__BAG__I,axiom,
% 5.64/5.87 ! [A_27a: del,V0s: $i] :
% 5.64/5.87 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.64/5.87 => ( ( ap @ ( c_2Ebag_2ESET__OF__BAG @ A_27a ) @ ( ap @ ( c_2Ebag_2EBAG__OF__SET @ A_27a ) @ V0s ) )
% 5.64/5.87 = V0s ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2ESUB__BAG__SET,axiom,
% 5.64/5.87 ! [A_27a: del,V0b1: $i] :
% 5.64/5.87 ( ( mem @ V0b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1b2: $i] :
% 5.64/5.87 ( ( mem @ V1b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ V0b1 ) @ V1b2 ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ ( ap @ ( c_2Ebag_2ESET__OF__BAG @ A_27a ) @ V0b1 ) ) @ ( ap @ ( c_2Ebag_2ESET__OF__BAG @ A_27a ) @ V1b2 ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2ESET__OF__BAG__UNION,axiom,
% 5.64/5.87 ! [A_27a: del,V0b1: $i] :
% 5.64/5.87 ( ( mem @ V0b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1b2: $i] :
% 5.64/5.87 ( ( mem @ V1b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( ap @ ( c_2Ebag_2ESET__OF__BAG @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V0b1 ) @ V1b2 ) )
% 5.64/5.87 = ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ ( ap @ ( c_2Ebag_2ESET__OF__BAG @ A_27a ) @ V0b1 ) ) @ ( ap @ ( c_2Ebag_2ESET__OF__BAG @ A_27a ) @ V1b2 ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2ESET__OF__BAG__MERGE,axiom,
% 5.64/5.87 ! [A_27a: del,V0b1: $i] :
% 5.64/5.87 ( ( mem @ V0b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1b2: $i] :
% 5.64/5.87 ( ( mem @ V1b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( ap @ ( c_2Ebag_2ESET__OF__BAG @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__MERGE @ A_27a ) @ V0b1 ) @ V1b2 ) )
% 5.64/5.87 = ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ ( ap @ ( c_2Ebag_2ESET__OF__BAG @ A_27a ) @ V0b1 ) ) @ ( ap @ ( c_2Ebag_2ESET__OF__BAG @ A_27a ) @ V1b2 ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2ESET__OF__BAG__INSERT,axiom,
% 5.64/5.87 ! [A_27a: del,V0e: $i] :
% 5.64/5.87 ( ( mem @ V0e @ A_27a )
% 5.64/5.87 => ! [V1b: $i] :
% 5.64/5.87 ( ( mem @ V1b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( ap @ ( c_2Ebag_2ESET__OF__BAG @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ A_27a ) @ V0e ) @ V1b ) )
% 5.64/5.87 = ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V0e ) @ ( ap @ ( c_2Ebag_2ESET__OF__BAG @ A_27a ) @ V1b ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2ESET__OF__EL__BAG,axiom,
% 5.64/5.87 ! [A_27a: del,V0e: $i] :
% 5.64/5.87 ( ( mem @ V0e @ A_27a )
% 5.64/5.87 => ( ( ap @ ( c_2Ebag_2ESET__OF__BAG @ A_27a ) @ ( ap @ ( c_2Ebag_2EEL__BAG @ A_27a ) @ V0e ) )
% 5.64/5.87 = ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V0e ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2ESET__OF__BAG__DIFF__SUBSET__down,axiom,
% 5.64/5.87 ! [A_27a: del,V0b1: $i] :
% 5.64/5.87 ( ( mem @ V0b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1b2: $i] :
% 5.64/5.87 ( ( mem @ V1b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDIFF @ A_27a ) @ ( ap @ ( c_2Ebag_2ESET__OF__BAG @ A_27a ) @ V0b1 ) ) @ ( ap @ ( c_2Ebag_2ESET__OF__BAG @ A_27a ) @ V1b2 ) ) ) @ ( ap @ ( c_2Ebag_2ESET__OF__BAG @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__DIFF @ A_27a ) @ V0b1 ) @ V1b2 ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2ESET__OF__BAG__DIFF__SUBSET__up,axiom,
% 5.64/5.87 ! [A_27a: del,V0b1: $i] :
% 5.64/5.87 ( ( mem @ V0b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1b2: $i] :
% 5.64/5.87 ( ( mem @ V1b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ ( ap @ ( c_2Ebag_2ESET__OF__BAG @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__DIFF @ A_27a ) @ V0b1 ) @ V1b2 ) ) ) @ ( ap @ ( c_2Ebag_2ESET__OF__BAG @ A_27a ) @ V0b1 ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EIN__SET__OF__BAG,axiom,
% 5.64/5.87 ! [A_27a: del,V0x: $i] :
% 5.64/5.87 ( ( mem @ V0x @ A_27a )
% 5.64/5.87 => ! [V1b: $i] :
% 5.64/5.87 ( ( mem @ V1b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0x ) @ ( ap @ ( c_2Ebag_2ESET__OF__BAG @ A_27a ) @ V1b ) ) )
% 5.64/5.87 <=> ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__IN @ A_27a ) @ V0x ) @ V1b ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2ESET__OF__BAG__EQ__EMPTY,axiom,
% 5.64/5.87 ! [A_27a: del,V0b: $i] :
% 5.64/5.87 ( ( mem @ V0b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( ( ( c_2Epred__set_2EEMPTY @ A_27a )
% 5.64/5.87 = ( ap @ ( c_2Ebag_2ESET__OF__BAG @ A_27a ) @ V0b ) )
% 5.64/5.87 <=> ( V0b
% 5.64/5.87 = ( c_2Ebag_2EEMPTY__BAG @ A_27a ) ) )
% 5.64/5.87 & ( ( ( ap @ ( c_2Ebag_2ESET__OF__BAG @ A_27a ) @ V0b )
% 5.64/5.87 = ( c_2Epred__set_2EEMPTY @ A_27a ) )
% 5.64/5.87 <=> ( V0b
% 5.64/5.87 = ( c_2Ebag_2EEMPTY__BAG @ A_27a ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(ax_thm_2Ebag_2EBAG__DISJOINT,axiom,
% 5.64/5.87 ! [A_27a: del,V0b1: $i] :
% 5.64/5.87 ( ( mem @ V0b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1b2: $i] :
% 5.64/5.87 ( ( mem @ V1b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__DISJOINT @ A_27a ) @ V0b1 ) @ V1b2 ) )
% 5.64/5.87 <=> ( p @ ( ap @ ( ap @ ( c_2Epred__set_2EDISJOINT @ A_27a ) @ ( ap @ ( c_2Ebag_2ESET__OF__BAG @ A_27a ) @ V0b1 ) ) @ ( ap @ ( c_2Ebag_2ESET__OF__BAG @ A_27a ) @ V1b2 ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__DISJOINT__EMPTY,axiom,
% 5.64/5.87 ! [A_27a: del,V0b: $i] :
% 5.64/5.87 ( ( mem @ V0b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__DISJOINT @ A_27a ) @ V0b ) @ ( c_2Ebag_2EEMPTY__BAG @ A_27a ) ) )
% 5.64/5.87 & ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__DISJOINT @ A_27a ) @ ( c_2Ebag_2EEMPTY__BAG @ A_27a ) ) @ V0b ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__DISJOINT__DIFF,axiom,
% 5.64/5.87 ! [A_27a: del,V0B1: $i] :
% 5.64/5.87 ( ( mem @ V0B1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1B2: $i] :
% 5.64/5.87 ( ( mem @ V1B2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__DISJOINT @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__DIFF @ A_27a ) @ V0B1 ) @ V1B2 ) ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__DIFF @ A_27a ) @ V1B2 ) @ V0B1 ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__DISJOINT__BAG__IN,axiom,
% 5.64/5.87 ! [A_27a: del,V0b1: $i] :
% 5.64/5.87 ( ( mem @ V0b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1b2: $i] :
% 5.64/5.87 ( ( mem @ V1b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__DISJOINT @ A_27a ) @ V0b1 ) @ V1b2 ) )
% 5.64/5.87 <=> ! [V2e: $i] :
% 5.64/5.87 ( ( mem @ V2e @ A_27a )
% 5.64/5.87 => ( ~ ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__IN @ A_27a ) @ V2e ) @ V0b1 ) )
% 5.64/5.87 | ~ ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__IN @ A_27a ) @ V2e ) @ V1b2 ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__DISJOINT__BAG__INSERT,axiom,
% 5.64/5.87 ! [A_27a: del,A_27b: del] :
% 5.64/5.87 ( ! [V0b1: $i] :
% 5.64/5.87 ( ( mem @ V0b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1b2: $i] :
% 5.64/5.87 ( ( mem @ V1b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V2e1: $i] :
% 5.64/5.87 ( ( mem @ V2e1 @ A_27a )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__DISJOINT @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ A_27a ) @ V2e1 ) @ V0b1 ) ) @ V1b2 ) )
% 5.64/5.87 <=> ( ~ ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__IN @ A_27a ) @ V2e1 ) @ V1b2 ) )
% 5.64/5.87 & ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__DISJOINT @ A_27a ) @ V0b1 ) @ V1b2 ) ) ) ) ) ) )
% 5.64/5.87 & ! [V3b1: $i] :
% 5.64/5.87 ( ( mem @ V3b1 @ ( arr @ A_27b @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V4b2: $i] :
% 5.64/5.87 ( ( mem @ V4b2 @ ( arr @ A_27b @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V5e2: $i] :
% 5.64/5.87 ( ( mem @ V5e2 @ A_27b )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__DISJOINT @ A_27b ) @ V3b1 ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ A_27b ) @ V5e2 ) @ V4b2 ) ) )
% 5.64/5.87 <=> ( ~ ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__IN @ A_27b ) @ V5e2 ) @ V3b1 ) )
% 5.64/5.87 & ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__DISJOINT @ A_27b ) @ V3b1 ) @ V4b2 ) ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__DISJOINT__BAG__UNION,axiom,
% 5.64/5.87 ! [A_27a: del,V0b1: $i] :
% 5.64/5.87 ( ( mem @ V0b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1b2: $i] :
% 5.64/5.87 ( ( mem @ V1b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V2b3: $i] :
% 5.64/5.87 ( ( mem @ V2b3 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__DISJOINT @ A_27a ) @ V0b1 ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V1b2 ) @ V2b3 ) ) )
% 5.64/5.87 <=> ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__DISJOINT @ A_27a ) @ V0b1 ) @ V1b2 ) )
% 5.64/5.87 & ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__DISJOINT @ A_27a ) @ V0b1 ) @ V2b3 ) ) ) )
% 5.64/5.87 & ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__DISJOINT @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V0b1 ) @ V1b2 ) ) @ V2b3 ) )
% 5.64/5.87 <=> ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__DISJOINT @ A_27a ) @ V0b1 ) @ V2b3 ) )
% 5.64/5.87 & ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__DISJOINT @ A_27a ) @ V1b2 ) @ V2b3 ) ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(ax_thm_2Ebag_2EFINITE__BAG,axiom,
% 5.64/5.87 ! [A_27a: del,V0b: $i] :
% 5.64/5.87 ( ( mem @ V0b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ A_27a ) @ V0b ) )
% 5.64/5.87 <=> ! [V1P: $i] :
% 5.64/5.87 ( ( mem @ V1P @ ( arr @ ( arr @ A_27a @ ty_2Enum_2Enum ) @ bool ) )
% 5.64/5.87 => ( ( ( p @ ( ap @ V1P @ ( c_2Ebag_2EEMPTY__BAG @ A_27a ) ) )
% 5.64/5.87 & ! [V2b: $i] :
% 5.64/5.87 ( ( mem @ V2b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ V1P @ V2b ) )
% 5.64/5.87 => ! [V3e: $i] :
% 5.64/5.87 ( ( mem @ V3e @ A_27a )
% 5.64/5.87 => ( p @ ( ap @ V1P @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ A_27a ) @ V3e ) @ V2b ) ) ) ) ) ) )
% 5.64/5.87 => ( p @ ( ap @ V1P @ V0b ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EFINITE__EMPTY__BAG,axiom,
% 5.64/5.87 ! [A_27a: del] : ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ A_27a ) @ ( c_2Ebag_2EEMPTY__BAG @ A_27a ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EFINITE__BAG__INSERT,axiom,
% 5.64/5.87 ! [A_27a: del,V0b: $i] :
% 5.64/5.87 ( ( mem @ V0b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ A_27a ) @ V0b ) )
% 5.64/5.87 => ! [V1e: $i] :
% 5.64/5.87 ( ( mem @ V1e @ A_27a )
% 5.64/5.87 => ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ A_27a ) @ V1e ) @ V0b ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EFINITE__BAG__INDUCT,axiom,
% 5.64/5.87 ! [A_27a: del,V0P: $i] :
% 5.64/5.87 ( ( mem @ V0P @ ( arr @ ( arr @ A_27a @ ty_2Enum_2Enum ) @ bool ) )
% 5.64/5.87 => ( ( ( p @ ( ap @ V0P @ ( c_2Ebag_2EEMPTY__BAG @ A_27a ) ) )
% 5.64/5.87 & ! [V1b: $i] :
% 5.64/5.87 ( ( mem @ V1b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ V0P @ V1b ) )
% 5.64/5.87 => ! [V2e: $i] :
% 5.64/5.87 ( ( mem @ V2e @ A_27a )
% 5.64/5.87 => ( p @ ( ap @ V0P @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ A_27a ) @ V2e ) @ V1b ) ) ) ) ) ) )
% 5.64/5.87 => ! [V3b: $i] :
% 5.64/5.87 ( ( mem @ V3b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ A_27a ) @ V3b ) )
% 5.64/5.87 => ( p @ ( ap @ V0P @ V3b ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2ESTRONG__FINITE__BAG__INDUCT,axiom,
% 5.64/5.87 ! [A_27a: del,V0P: $i] :
% 5.64/5.87 ( ( mem @ V0P @ ( arr @ ( arr @ A_27a @ ty_2Enum_2Enum ) @ bool ) )
% 5.64/5.87 => ( ( ( p @ ( ap @ V0P @ ( c_2Ebag_2EEMPTY__BAG @ A_27a ) ) )
% 5.64/5.87 & ! [V1b: $i] :
% 5.64/5.87 ( ( mem @ V1b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ A_27a ) @ V1b ) )
% 5.64/5.87 & ( p @ ( ap @ V0P @ V1b ) ) )
% 5.64/5.87 => ! [V2e: $i] :
% 5.64/5.87 ( ( mem @ V2e @ A_27a )
% 5.64/5.87 => ( p @ ( ap @ V0P @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ A_27a ) @ V2e ) @ V1b ) ) ) ) ) ) )
% 5.64/5.87 => ! [V3b: $i] :
% 5.64/5.87 ( ( mem @ V3b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ A_27a ) @ V3b ) )
% 5.64/5.87 => ( p @ ( ap @ V0P @ V3b ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EFINITE__BAG__THM,axiom,
% 5.64/5.87 ! [A_27a: del] :
% 5.64/5.87 ( ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ A_27a ) @ ( c_2Ebag_2EEMPTY__BAG @ A_27a ) ) )
% 5.64/5.87 & ! [V0e: $i] :
% 5.64/5.87 ( ( mem @ V0e @ A_27a )
% 5.64/5.87 => ! [V1b: $i] :
% 5.64/5.87 ( ( mem @ V1b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ A_27a ) @ V0e ) @ V1b ) ) )
% 5.64/5.87 <=> ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ A_27a ) @ V1b ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EFINITE__BAG__DIFF,axiom,
% 5.64/5.87 ! [A_27a: del,V0b1: $i] :
% 5.64/5.87 ( ( mem @ V0b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ A_27a ) @ V0b1 ) )
% 5.64/5.87 => ! [V1b2: $i] :
% 5.64/5.87 ( ( mem @ V1b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__DIFF @ A_27a ) @ V0b1 ) @ V1b2 ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EFINITE__BAG__DIFF__dual,axiom,
% 5.64/5.87 ! [A_27a: del,V0b1: $i] :
% 5.64/5.87 ( ( mem @ V0b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ A_27a ) @ V0b1 ) )
% 5.64/5.87 => ! [V1b2: $i] :
% 5.64/5.87 ( ( mem @ V1b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__DIFF @ A_27a ) @ V1b2 ) @ V0b1 ) ) )
% 5.64/5.87 => ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ A_27a ) @ V1b2 ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EFINITE__BAG__UNION,axiom,
% 5.64/5.87 ! [A_27a: del,V0b1: $i] :
% 5.64/5.87 ( ( mem @ V0b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1b2: $i] :
% 5.64/5.87 ( ( mem @ V1b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V0b1 ) @ V1b2 ) ) )
% 5.64/5.87 <=> ( ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ A_27a ) @ V0b1 ) )
% 5.64/5.87 & ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ A_27a ) @ V1b2 ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EFINITE__SUB__BAG,axiom,
% 5.64/5.87 ! [A_27a: del,V0b1: $i] :
% 5.64/5.87 ( ( mem @ V0b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ A_27a ) @ V0b1 ) )
% 5.64/5.87 => ! [V1b2: $i] :
% 5.64/5.87 ( ( mem @ V1b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ V1b2 ) @ V0b1 ) )
% 5.64/5.87 => ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ A_27a ) @ V1b2 ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(ax_thm_2Ebag_2EBAG__CARD__RELn,axiom,
% 5.64/5.87 ! [A_27a: del,V0b: $i] :
% 5.64/5.87 ( ( mem @ V0b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1n: tp__ty_2Enum_2Enum] :
% 5.64/5.87 ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__CARD__RELn @ A_27a ) @ V0b ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.64/5.87 <=> ! [V2P: $i] :
% 5.64/5.87 ( ( mem @ V2P @ ( arr @ ( arr @ A_27a @ ty_2Enum_2Enum ) @ ( arr @ ty_2Enum_2Enum @ bool ) ) )
% 5.64/5.87 => ( ( ( p @ ( ap @ ( ap @ V2P @ ( c_2Ebag_2EEMPTY__BAG @ A_27a ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.64/5.87 & ! [V3b: $i] :
% 5.64/5.87 ( ( mem @ V3b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V4n: tp__ty_2Enum_2Enum] :
% 5.64/5.87 ( ( p @ ( ap @ ( ap @ V2P @ V3b ) @ ( inj__ty_2Enum_2Enum @ V4n ) ) )
% 5.64/5.87 => ! [V5e: $i] :
% 5.64/5.87 ( ( mem @ V5e @ A_27a )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ V2P @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ A_27a ) @ V5e ) @ V3b ) ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V4n ) ) ) ) ) ) ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ V2P @ V0b ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(ax_thm_2Ebag_2EBAG__CARD,axiom,
% 5.64/5.87 ! [A_27a: del,V0b: $i] :
% 5.64/5.87 ( ( mem @ V0b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ A_27a ) @ V0b ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__CARD__RELn @ A_27a ) @ V0b ) @ ( ap @ ( c_2Ebag_2EBAG__CARD @ A_27a ) @ V0b ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__CARD__EMPTY,axiom,
% 5.64/5.87 ! [A_27a: del] :
% 5.64/5.87 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Ebag_2EBAG__CARD @ A_27a ) @ ( c_2Ebag_2EEMPTY__BAG @ A_27a ) ) )
% 5.64/5.87 = fo__c_2Enum_2E0 ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBCARD__0,axiom,
% 5.64/5.87 ! [A_27a: del,V0b: $i] :
% 5.64/5.87 ( ( mem @ V0b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ A_27a ) @ V0b ) )
% 5.64/5.87 => ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Ebag_2EBAG__CARD @ A_27a ) @ V0b ) )
% 5.64/5.87 = fo__c_2Enum_2E0 )
% 5.64/5.87 <=> ( V0b
% 5.64/5.87 = ( c_2Ebag_2EEMPTY__BAG @ A_27a ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__CARD__THM,axiom,
% 5.64/5.87 ! [A_27a: del] :
% 5.64/5.87 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Ebag_2EBAG__CARD @ A_27a ) @ ( c_2Ebag_2EEMPTY__BAG @ A_27a ) ) )
% 5.64/5.87 = fo__c_2Enum_2E0 )
% 5.64/5.87 & ! [V0b: $i] :
% 5.64/5.87 ( ( mem @ V0b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ A_27a ) @ V0b ) )
% 5.64/5.87 => ! [V1e: $i] :
% 5.64/5.87 ( ( mem @ V1e @ A_27a )
% 5.64/5.87 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Ebag_2EBAG__CARD @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ A_27a ) @ V1e ) @ V0b ) ) )
% 5.64/5.87 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( c_2Ebag_2EBAG__CARD @ A_27a ) @ V0b ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__CARD__UNION,axiom,
% 5.64/5.87 ! [A_27a: del,V0b1: $i] :
% 5.64/5.87 ( ( mem @ V0b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1b2: $i] :
% 5.64/5.87 ( ( mem @ V1b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ A_27a ) @ V0b1 ) )
% 5.64/5.87 & ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ A_27a ) @ V1b2 ) ) )
% 5.64/5.87 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Ebag_2EBAG__CARD @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V0b1 ) @ V1b2 ) ) )
% 5.64/5.87 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( c_2Ebag_2EBAG__CARD @ A_27a ) @ V0b1 ) ) @ ( ap @ ( c_2Ebag_2EBAG__CARD @ A_27a ) @ V1b2 ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBCARD__SUC,axiom,
% 5.64/5.87 ! [A_27a: del,V0b: $i] :
% 5.64/5.87 ( ( mem @ V0b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ A_27a ) @ V0b ) )
% 5.64/5.87 => ! [V1n: tp__ty_2Enum_2Enum] :
% 5.64/5.87 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Ebag_2EBAG__CARD @ A_27a ) @ V0b ) )
% 5.64/5.87 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.64/5.87 <=> ? [V2b0: $i] :
% 5.64/5.87 ( ( mem @ V2b0 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 & ? [V3e: $i] :
% 5.64/5.87 ( ( mem @ V3e @ A_27a )
% 5.64/5.87 & ( V0b
% 5.64/5.87 = ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ A_27a ) @ V3e ) @ V2b0 ) )
% 5.64/5.87 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Ebag_2EBAG__CARD @ A_27a ) @ V2b0 ) )
% 5.64/5.87 = V1n ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__CARD__BAG__INN,axiom,
% 5.64/5.87 ! [A_27a: del,V0b: $i] :
% 5.64/5.87 ( ( mem @ V0b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ A_27a ) @ V0b ) )
% 5.64/5.87 => ! [V1n: tp__ty_2Enum_2Enum,V2e: $i] :
% 5.64/5.87 ( ( mem @ V2e @ A_27a )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__INN @ A_27a ) @ V2e ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ V0b ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ ( c_2Ebag_2EBAG__CARD @ A_27a ) @ V0b ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2ESUB__BAG__DIFF__EQ,axiom,
% 5.64/5.87 ! [A_27a: del,V0b1: $i] :
% 5.64/5.87 ( ( mem @ V0b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1b2: $i] :
% 5.64/5.87 ( ( mem @ V1b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ V0b1 ) @ V1b2 ) )
% 5.64/5.87 => ( V1b2
% 5.64/5.87 = ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V0b1 ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__DIFF @ A_27a ) @ V1b2 ) @ V0b1 ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2ESUB__BAG__CARD,axiom,
% 5.64/5.87 ! [A_27a: del,V0b1: $i] :
% 5.64/5.87 ( ( mem @ V0b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1b2: $i] :
% 5.64/5.87 ( ( mem @ V1b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ A_27a ) @ V1b2 ) )
% 5.64/5.87 & ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ V0b1 ) @ V1b2 ) ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( c_2Ebag_2EBAG__CARD @ A_27a ) @ V0b1 ) ) @ ( ap @ ( c_2Ebag_2EBAG__CARD @ A_27a ) @ V1b2 ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__CARD__DIFF,axiom,
% 5.64/5.87 ! [A_27a: del,V0b: $i] :
% 5.64/5.87 ( ( mem @ V0b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ A_27a ) @ V0b ) )
% 5.64/5.87 => ! [V1c: $i] :
% 5.64/5.87 ( ( mem @ V1c @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ V1c ) @ V0b ) )
% 5.64/5.87 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Ebag_2EBAG__CARD @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__DIFF @ A_27a ) @ V0b ) @ V1c ) ) )
% 5.64/5.87 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ ( c_2Ebag_2EBAG__CARD @ A_27a ) @ V0b ) ) @ ( ap @ ( c_2Ebag_2EBAG__CARD @ A_27a ) @ V1c ) ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(ax_thm_2Ebag_2EBAG__FILTER__DEF,axiom,
% 5.64/5.87 ! [A_27a: del,V0P: $i] :
% 5.64/5.87 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.64/5.87 => ! [V1b: $i] :
% 5.64/5.87 ( ( mem @ V1b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( ap @ ( ap @ ( c_2Ebag_2EBAG__FILTER @ A_27a ) @ V0P ) @ V1b )
% 5.64/5.87 = ( lam @ A_27a
% 5.64/5.87 @ ^ [V2e: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ V0P @ V2e ) ) @ ( ap @ V1b @ V2e ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__FILTER__EMPTY,axiom,
% 5.64/5.87 ! [A_27a: del,V0P: $i] :
% 5.64/5.87 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.64/5.87 => ( ( ap @ ( ap @ ( c_2Ebag_2EBAG__FILTER @ A_27a ) @ V0P ) @ ( c_2Ebag_2EEMPTY__BAG @ A_27a ) )
% 5.64/5.87 = ( c_2Ebag_2EEMPTY__BAG @ A_27a ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__FILTER__BAG__INSERT,axiom,
% 5.64/5.87 ! [A_27a: del,V0P: $i] :
% 5.64/5.87 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.64/5.87 => ! [V1e: $i] :
% 5.64/5.87 ( ( mem @ V1e @ A_27a )
% 5.64/5.87 => ! [V2b: $i] :
% 5.64/5.87 ( ( mem @ V2b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( ap @ ( ap @ ( c_2Ebag_2EBAG__FILTER @ A_27a ) @ V0P ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ A_27a ) @ V1e ) @ V2b ) )
% 5.64/5.87 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( arr @ A_27a @ ty_2Enum_2Enum ) ) @ ( ap @ V0P @ V1e ) ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ A_27a ) @ V1e ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__FILTER @ A_27a ) @ V0P ) @ V2b ) ) ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__FILTER @ A_27a ) @ V0P ) @ V2b ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EFINITE__BAG__FILTER,axiom,
% 5.64/5.87 ! [A_27a: del,V0P: $i] :
% 5.64/5.87 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.64/5.87 => ! [V1b: $i] :
% 5.64/5.87 ( ( mem @ V1b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ A_27a ) @ V1b ) )
% 5.64/5.87 => ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__FILTER @ A_27a ) @ V0P ) @ V1b ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__INN__BAG__FILTER,axiom,
% 5.64/5.87 ! [A_27a: del,V0e: $i] :
% 5.64/5.87 ( ( mem @ V0e @ A_27a )
% 5.64/5.87 => ! [V1n: tp__ty_2Enum_2Enum,V2P: $i] :
% 5.64/5.87 ( ( mem @ V2P @ ( arr @ A_27a @ bool ) )
% 5.64/5.87 => ! [V3b: $i] :
% 5.64/5.87 ( ( mem @ V3b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__INN @ A_27a ) @ V0e ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__FILTER @ A_27a ) @ V2P ) @ V3b ) ) )
% 5.64/5.87 <=> ( ( V1n = fo__c_2Enum_2E0 )
% 5.64/5.87 | ( ( p @ ( ap @ V2P @ V0e ) )
% 5.64/5.87 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__INN @ A_27a ) @ V0e ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ V3b ) ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__IN__BAG__FILTER,axiom,
% 5.64/5.87 ! [A_27a: del,V0e: $i] :
% 5.64/5.87 ( ( mem @ V0e @ A_27a )
% 5.64/5.87 => ! [V1P: $i] :
% 5.64/5.87 ( ( mem @ V1P @ ( arr @ A_27a @ bool ) )
% 5.64/5.87 => ! [V2b: $i] :
% 5.64/5.87 ( ( mem @ V2b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__IN @ A_27a ) @ V0e ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__FILTER @ A_27a ) @ V1P ) @ V2b ) ) )
% 5.64/5.87 <=> ( ( p @ ( ap @ V1P @ V0e ) )
% 5.64/5.87 & ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__IN @ A_27a ) @ V0e ) @ V2b ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__FILTER__FILTER,axiom,
% 5.64/5.87 ! [A_27a: del,V0P: $i] :
% 5.64/5.87 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.64/5.87 => ! [V1Q: $i] :
% 5.64/5.87 ( ( mem @ V1Q @ ( arr @ A_27a @ bool ) )
% 5.64/5.87 => ! [V2b: $i] :
% 5.64/5.87 ( ( mem @ V2b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( ap @ ( ap @ ( c_2Ebag_2EBAG__FILTER @ A_27a ) @ V0P ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__FILTER @ A_27a ) @ V1Q ) @ V2b ) )
% 5.64/5.87 = ( ap
% 5.64/5.87 @ ( ap @ ( c_2Ebag_2EBAG__FILTER @ A_27a )
% 5.64/5.87 @ ( lam @ A_27a
% 5.64/5.87 @ ^ [V3a: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0P @ V3a ) ) @ ( ap @ V1Q @ V3a ) ) ) )
% 5.64/5.87 @ V2b ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__FILTER__SUB__BAG,axiom,
% 5.64/5.87 ! [A_27a: del,V0P: $i] :
% 5.64/5.87 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.64/5.87 => ! [V1b: $i] :
% 5.64/5.87 ( ( mem @ V1b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__FILTER @ A_27a ) @ V0P ) @ V1b ) ) @ V1b ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2ESET__OF__BAG__EQ__INSERT,axiom,
% 5.64/5.87 ! [A_27a: del,V0b: $i] :
% 5.64/5.87 ( ( mem @ V0b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1e: $i] :
% 5.64/5.87 ( ( mem @ V1e @ A_27a )
% 5.64/5.87 => ! [V2s: $i] :
% 5.64/5.87 ( ( mem @ V2s @ ( arr @ A_27a @ bool ) )
% 5.64/5.87 => ( ( ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V1e ) @ V2s )
% 5.64/5.87 = ( ap @ ( c_2Ebag_2ESET__OF__BAG @ A_27a ) @ V0b ) )
% 5.64/5.87 <=> ? [V3b0: $i] :
% 5.64/5.87 ( ( mem @ V3b0 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 & ? [V4eb: $i] :
% 5.64/5.87 ( ( mem @ V4eb @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 & ( V0b
% 5.64/5.87 = ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V4eb ) @ V3b0 ) )
% 5.64/5.87 & ( V2s
% 5.64/5.87 = ( ap @ ( c_2Ebag_2ESET__OF__BAG @ A_27a ) @ V3b0 ) )
% 5.64/5.87 & ! [V5e_27: $i] :
% 5.64/5.87 ( ( mem @ V5e_27 @ A_27a )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__IN @ A_27a ) @ V5e_27 ) @ V4eb ) )
% 5.64/5.87 => ( V5e_27 = V1e ) ) )
% 5.64/5.87 & ( ~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V1e ) @ V2s ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__IN @ A_27a ) @ V1e ) @ V4eb ) ) ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EFINITE__SET__OF__BAG,axiom,
% 5.64/5.87 ! [A_27a: del,V0b: $i] :
% 5.64/5.87 ( ( mem @ V0b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ ( ap @ ( c_2Ebag_2ESET__OF__BAG @ A_27a ) @ V0b ) ) )
% 5.64/5.87 <=> ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ A_27a ) @ V0b ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(ax_thm_2Ebag_2EBAG__IMAGE__DEF,axiom,
% 5.64/5.87 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.64/5.87 ( ( mem @ V0f @ ( arr @ A_27b @ A_27a ) )
% 5.64/5.87 => ! [V1b: $i] :
% 5.64/5.87 ( ( mem @ V1b @ ( arr @ A_27b @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( ap @ ( ap @ ( c_2Ebag_2EBAG__IMAGE @ A_27a @ A_27b ) @ V0f ) @ V1b )
% 5.64/5.87 = ( lam @ A_27a
% 5.64/5.87 @ ^ [V2e: $i] :
% 5.64/5.87 ( ap
% 5.64/5.87 @ ( ap @ ( c_2Ebool_2ELET @ ( arr @ A_27b @ ty_2Enum_2Enum ) @ ty_2Enum_2Enum )
% 5.64/5.87 @ ( lam @ ( arr @ A_27b @ ty_2Enum_2Enum )
% 5.64/5.87 @ ^ [V3sb: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ A_27b ) @ V3sb ) ) @ ( ap @ ( c_2Ebag_2EBAG__CARD @ A_27b ) @ V3sb ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.64/5.87 @ ( ap
% 5.64/5.87 @ ( ap @ ( c_2Ebag_2EBAG__FILTER @ A_27b )
% 5.64/5.87 @ ( lam @ A_27b
% 5.64/5.87 @ ^ [V4e0: $i] : ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ ( ap @ V0f @ V4e0 ) ) @ V2e ) ) )
% 5.64/5.87 @ V1b ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__IMAGE__EMPTY,axiom,
% 5.64/5.87 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.64/5.87 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.64/5.87 => ( ( ap @ ( ap @ ( c_2Ebag_2EBAG__IMAGE @ A_27b @ A_27a ) @ V0f ) @ ( c_2Ebag_2EEMPTY__BAG @ A_27a ) )
% 5.64/5.87 = ( c_2Ebag_2EEMPTY__BAG @ A_27b ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__IMAGE__FINITE__INSERT,axiom,
% 5.64/5.87 ! [A_27a: del,A_27b: del,V0b: $i] :
% 5.64/5.87 ( ( mem @ V0b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1f: $i] :
% 5.64/5.87 ( ( mem @ V1f @ ( arr @ A_27a @ A_27b ) )
% 5.64/5.87 => ! [V2e: $i] :
% 5.64/5.87 ( ( mem @ V2e @ A_27a )
% 5.64/5.87 => ( ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ A_27a ) @ V0b ) )
% 5.64/5.87 => ( ( ap @ ( ap @ ( c_2Ebag_2EBAG__IMAGE @ A_27b @ A_27a ) @ V1f ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ A_27a ) @ V2e ) @ V0b ) )
% 5.64/5.87 = ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ A_27b ) @ ( ap @ V1f @ V2e ) ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__IMAGE @ A_27b @ A_27a ) @ V1f ) @ V0b ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__IMAGE__FINITE__UNION,axiom,
% 5.64/5.87 ! [A_27a: del,A_27b: del,V0b1: $i] :
% 5.64/5.87 ( ( mem @ V0b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1b2: $i] :
% 5.64/5.87 ( ( mem @ V1b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V2f: $i] :
% 5.64/5.87 ( ( mem @ V2f @ ( arr @ A_27a @ A_27b ) )
% 5.64/5.87 => ( ( ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ A_27a ) @ V0b1 ) )
% 5.64/5.87 & ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ A_27a ) @ V1b2 ) ) )
% 5.64/5.87 => ( ( ap @ ( ap @ ( c_2Ebag_2EBAG__IMAGE @ A_27b @ A_27a ) @ V2f ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V0b1 ) @ V1b2 ) )
% 5.64/5.87 = ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27b ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__IMAGE @ A_27b @ A_27a ) @ V2f ) @ V0b1 ) ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__IMAGE @ A_27b @ A_27a ) @ V2f ) @ V1b2 ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__IMAGE__FINITE,axiom,
% 5.64/5.87 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.64/5.87 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.64/5.87 => ! [V1b: $i] :
% 5.64/5.87 ( ( mem @ V1b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ A_27a ) @ V1b ) )
% 5.64/5.87 => ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ A_27b ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__IMAGE @ A_27b @ A_27a ) @ V0f ) @ V1b ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__IMAGE__COMPOSE,axiom,
% 5.64/5.87 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.64/5.87 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.64/5.87 => ! [V1g: $i] :
% 5.64/5.87 ( ( mem @ V1g @ ( arr @ A_27c @ A_27a ) )
% 5.64/5.87 => ! [V2b: $i] :
% 5.64/5.87 ( ( mem @ V2b @ ( arr @ A_27c @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ A_27c ) @ V2b ) )
% 5.64/5.87 => ( ( ap @ ( ap @ ( c_2Ebag_2EBAG__IMAGE @ A_27b @ A_27c ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27c @ A_27b @ A_27a ) @ V0f ) @ V1g ) ) @ V2b )
% 5.64/5.87 = ( ap @ ( ap @ ( c_2Ebag_2EBAG__IMAGE @ A_27b @ A_27a ) @ V0f ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__IMAGE @ A_27a @ A_27c ) @ V1g ) @ V2b ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__IMAGE__FINITE__I,axiom,
% 5.64/5.87 ! [A_27a: del,V0b: $i] :
% 5.64/5.87 ( ( mem @ V0b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ A_27a ) @ V0b ) )
% 5.64/5.87 => ( ( ap @ ( ap @ ( c_2Ebag_2EBAG__IMAGE @ A_27a @ A_27a ) @ ( c_2Ecombin_2EI @ A_27a ) ) @ V0b )
% 5.64/5.87 = V0b ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__IN__FINITE__BAG__IMAGE,axiom,
% 5.64/5.87 ! [A_27a: del,A_27b: del,V0b: $i] :
% 5.64/5.87 ( ( mem @ V0b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1x: $i] :
% 5.64/5.87 ( ( mem @ V1x @ A_27b )
% 5.64/5.87 => ! [V2f: $i] :
% 5.64/5.87 ( ( mem @ V2f @ ( arr @ A_27a @ A_27b ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ A_27a ) @ V0b ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__IN @ A_27b ) @ V1x ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__IMAGE @ A_27b @ A_27a ) @ V2f ) @ V0b ) ) )
% 5.64/5.87 <=> ? [V3y: $i] :
% 5.64/5.87 ( ( mem @ V3y @ A_27a )
% 5.64/5.87 & ( ( ap @ V2f @ V3y )
% 5.64/5.87 = V1x )
% 5.64/5.87 & ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__IN @ A_27a ) @ V3y ) @ V0b ) ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__IMAGE__EQ__EMPTY,axiom,
% 5.64/5.87 ! [A_27a: del,A_27b: del,V0b: $i] :
% 5.64/5.87 ( ( mem @ V0b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1f: $i] :
% 5.64/5.87 ( ( mem @ V1f @ ( arr @ A_27a @ A_27b ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ A_27a ) @ V0b ) )
% 5.64/5.87 => ( ( ( ap @ ( ap @ ( c_2Ebag_2EBAG__IMAGE @ A_27b @ A_27a ) @ V1f ) @ V0b )
% 5.64/5.87 = ( c_2Ebag_2EEMPTY__BAG @ A_27b ) )
% 5.64/5.87 <=> ( V0b
% 5.64/5.87 = ( c_2Ebag_2EEMPTY__BAG @ A_27a ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(ax_thm_2Ebag_2EBAG__CHOICE__DEF,axiom,
% 5.64/5.87 ! [A_27a: del,V0b: $i] :
% 5.64/5.87 ( ( mem @ V0b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( V0b
% 5.64/5.87 != ( c_2Ebag_2EEMPTY__BAG @ A_27a ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__IN @ A_27a ) @ ( ap @ ( c_2Ebag_2EBAG__CHOICE @ A_27a ) @ V0b ) ) @ V0b ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(ax_thm_2Ebag_2EBAG__REST__DEF,axiom,
% 5.64/5.87 ! [A_27a: del,V0b: $i] :
% 5.64/5.87 ( ( mem @ V0b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( ap @ ( c_2Ebag_2EBAG__REST @ A_27a ) @ V0b )
% 5.64/5.87 = ( ap @ ( ap @ ( c_2Ebag_2EBAG__DIFF @ A_27a ) @ V0b ) @ ( ap @ ( c_2Ebag_2EEL__BAG @ A_27a ) @ ( ap @ ( c_2Ebag_2EBAG__CHOICE @ A_27a ) @ V0b ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__INSERT__CHOICE__REST,axiom,
% 5.64/5.87 ! [A_27a: del,V0b: $i] :
% 5.64/5.87 ( ( mem @ V0b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( V0b
% 5.64/5.87 != ( c_2Ebag_2EEMPTY__BAG @ A_27a ) )
% 5.64/5.87 => ( V0b
% 5.64/5.87 = ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ A_27a ) @ ( ap @ ( c_2Ebag_2EBAG__CHOICE @ A_27a ) @ V0b ) ) @ ( ap @ ( c_2Ebag_2EBAG__REST @ A_27a ) @ V0b ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__CHOICE__SING,axiom,
% 5.64/5.87 ! [A_27a: del,V0x: $i] :
% 5.64/5.87 ( ( mem @ V0x @ A_27a )
% 5.64/5.87 => ( ( ap @ ( c_2Ebag_2EBAG__CHOICE @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ A_27a ) @ V0x ) @ ( c_2Ebag_2EEMPTY__BAG @ A_27a ) ) )
% 5.64/5.87 = V0x ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__REST__SING,axiom,
% 5.64/5.87 ! [A_27a: del,V0x: $i] :
% 5.64/5.87 ( ( mem @ V0x @ A_27a )
% 5.64/5.87 => ( ( ap @ ( c_2Ebag_2EBAG__REST @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ A_27a ) @ V0x ) @ ( c_2Ebag_2EEMPTY__BAG @ A_27a ) ) )
% 5.64/5.87 = ( c_2Ebag_2EEMPTY__BAG @ A_27a ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2ESUB__BAG__REST,axiom,
% 5.64/5.87 ! [A_27a: del,V0b: $i] :
% 5.64/5.87 ( ( mem @ V0b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ ( ap @ ( c_2Ebag_2EBAG__REST @ A_27a ) @ V0b ) ) @ V0b ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EPSUB__BAG__REST,axiom,
% 5.64/5.87 ! [A_27a: del,V0b: $i] :
% 5.64/5.87 ( ( mem @ V0b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( V0b
% 5.64/5.87 != ( c_2Ebag_2EEMPTY__BAG @ A_27a ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ ( c_2Ebag_2EPSUB__BAG @ A_27a ) @ ( ap @ ( c_2Ebag_2EBAG__REST @ A_27a ) @ V0b ) ) @ V0b ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2ESUB__BAG__UNION__MONO,axiom,
% 5.64/5.87 ! [A_27a: del] :
% 5.64/5.87 ( ! [V0x: $i] :
% 5.64/5.87 ( ( mem @ V0x @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1y: $i] :
% 5.64/5.87 ( ( mem @ V1y @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ V0x ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V0x ) @ V1y ) ) ) ) )
% 5.64/5.87 & ! [V2x: $i] :
% 5.64/5.87 ( ( mem @ V2x @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V3y: $i] :
% 5.64/5.87 ( ( mem @ V3y @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ V2x ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V3y ) @ V2x ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EPSUB__BAG__CARD,axiom,
% 5.64/5.87 ! [A_27a: del,V0b1: $i] :
% 5.64/5.87 ( ( mem @ V0b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1b2: $i] :
% 5.64/5.87 ( ( mem @ V1b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ A_27a ) @ V1b2 ) )
% 5.64/5.87 & ( p @ ( ap @ ( ap @ ( c_2Ebag_2EPSUB__BAG @ A_27a ) @ V0b1 ) @ V1b2 ) ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ ( c_2Ebag_2EBAG__CARD @ A_27a ) @ V0b1 ) ) @ ( ap @ ( c_2Ebag_2EBAG__CARD @ A_27a ) @ V1b2 ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EEL__BAG__BAG__INSERT,axiom,
% 5.64/5.87 ! [A_27a: del,V0x: $i] :
% 5.64/5.87 ( ( mem @ V0x @ A_27a )
% 5.64/5.87 => ! [V1y: $i] :
% 5.64/5.87 ( ( mem @ V1y @ A_27a )
% 5.64/5.87 => ! [V2b: $i] :
% 5.64/5.87 ( ( mem @ V2b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ A_27a ) @ V0x ) @ ( c_2Ebag_2EEMPTY__BAG @ A_27a ) )
% 5.64/5.87 = ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ A_27a ) @ V1y ) @ V2b ) )
% 5.64/5.87 <=> ( ( V0x = V1y )
% 5.64/5.87 & ( V2b
% 5.64/5.87 = ( c_2Ebag_2EEMPTY__BAG @ A_27a ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EEL__BAG__SUB__BAG,axiom,
% 5.64/5.87 ! [A_27a: del,V0x: $i] :
% 5.64/5.87 ( ( mem @ V0x @ A_27a )
% 5.64/5.87 => ! [V1b: $i] :
% 5.64/5.87 ( ( mem @ V1b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ A_27a ) @ V0x ) @ ( c_2Ebag_2EEMPTY__BAG @ A_27a ) ) ) @ V1b ) )
% 5.64/5.87 <=> ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__IN @ A_27a ) @ V0x ) @ V1b ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EITBAG__IND,axiom,
% 5.64/5.87 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.64/5.87 ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27b @ A_27b ) ) )
% 5.64/5.87 => ! [V1P: $i] :
% 5.64/5.87 ( ( mem @ V1P @ ( arr @ ( arr @ A_27a @ ty_2Enum_2Enum ) @ ( arr @ A_27b @ bool ) ) )
% 5.64/5.87 => ( ! [V2b: $i] :
% 5.64/5.87 ( ( mem @ V2b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V3acc: $i] :
% 5.64/5.87 ( ( mem @ V3acc @ A_27b )
% 5.64/5.87 => ( ( ( ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ A_27a ) @ V2b ) )
% 5.64/5.87 & ( V2b
% 5.64/5.87 != ( c_2Ebag_2EEMPTY__BAG @ A_27a ) ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ V1P @ ( ap @ ( c_2Ebag_2EBAG__REST @ A_27a ) @ V2b ) ) @ ( ap @ ( ap @ V0f @ ( ap @ ( c_2Ebag_2EBAG__CHOICE @ A_27a ) @ V2b ) ) @ V3acc ) ) ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ V1P @ V2b ) @ V3acc ) ) ) ) )
% 5.64/5.87 => ! [V4v: $i] :
% 5.64/5.87 ( ( mem @ V4v @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V5v1: $i] :
% 5.64/5.87 ( ( mem @ V5v1 @ A_27b )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ V1P @ V4v ) @ V5v1 ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EITBAG__THM,axiom,
% 5.64/5.87 ! [A_27a: del,A_27b: del,V0b: $i] :
% 5.64/5.87 ( ( mem @ V0b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1f: $i] :
% 5.64/5.87 ( ( mem @ V1f @ ( arr @ A_27a @ ( arr @ A_27b @ A_27b ) ) )
% 5.64/5.87 => ! [V2acc: $i] :
% 5.64/5.87 ( ( mem @ V2acc @ A_27b )
% 5.64/5.87 => ( ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ A_27a ) @ V0b ) )
% 5.64/5.87 => ( ( ap @ ( ap @ ( ap @ ( c_2Ebag_2EITBAG @ A_27a @ A_27b ) @ V1f ) @ V0b ) @ V2acc )
% 5.64/5.87 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ A_27b ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( arr @ A_27a @ ty_2Enum_2Enum ) ) @ V0b ) @ ( c_2Ebag_2EEMPTY__BAG @ A_27a ) ) ) @ V2acc ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebag_2EITBAG @ A_27a @ A_27b ) @ V1f ) @ ( ap @ ( c_2Ebag_2EBAG__REST @ A_27a ) @ V0b ) ) @ ( ap @ ( ap @ V1f @ ( ap @ ( c_2Ebag_2EBAG__CHOICE @ A_27a ) @ V0b ) ) @ V2acc ) ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EITBAG__EMPTY,axiom,
% 5.64/5.87 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.64/5.87 ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27b @ A_27b ) ) )
% 5.64/5.87 => ! [V1acc: $i] :
% 5.64/5.87 ( ( mem @ V1acc @ A_27b )
% 5.64/5.87 => ( ( ap @ ( ap @ ( ap @ ( c_2Ebag_2EITBAG @ A_27a @ A_27b ) @ V0f ) @ ( c_2Ebag_2EEMPTY__BAG @ A_27a ) ) @ V1acc )
% 5.64/5.87 = V1acc ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EITBAG__INSERT,axiom,
% 5.64/5.87 ! [A_27a: del,A_27b: del,V0b: $i] :
% 5.64/5.87 ( ( mem @ V0b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1x: $i] :
% 5.64/5.87 ( ( mem @ V1x @ A_27a )
% 5.64/5.87 => ! [V2f: $i] :
% 5.64/5.87 ( ( mem @ V2f @ ( arr @ A_27a @ ( arr @ A_27b @ A_27b ) ) )
% 5.64/5.87 => ! [V3acc: $i] :
% 5.64/5.87 ( ( mem @ V3acc @ A_27b )
% 5.64/5.87 => ( ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ A_27a ) @ V0b ) )
% 5.64/5.87 => ( ( ap @ ( ap @ ( ap @ ( c_2Ebag_2EITBAG @ A_27a @ A_27b ) @ V2f ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ A_27a ) @ V1x ) @ V0b ) ) @ V3acc )
% 5.64/5.87 = ( ap @ ( ap @ ( ap @ ( c_2Ebag_2EITBAG @ A_27a @ A_27b ) @ V2f ) @ ( ap @ ( c_2Ebag_2EBAG__REST @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ A_27a ) @ V1x ) @ V0b ) ) ) @ ( ap @ ( ap @ V2f @ ( ap @ ( c_2Ebag_2EBAG__CHOICE @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ A_27a ) @ V1x ) @ V0b ) ) ) @ V3acc ) ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2ECOMMUTING__ITBAG__INSERT,axiom,
% 5.64/5.87 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.64/5.87 ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27b @ A_27b ) ) )
% 5.64/5.87 => ! [V1b: $i] :
% 5.64/5.87 ( ( mem @ V1b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( ! [V2x: $i] :
% 5.64/5.87 ( ( mem @ V2x @ A_27a )
% 5.64/5.87 => ! [V3y: $i] :
% 5.64/5.87 ( ( mem @ V3y @ A_27a )
% 5.64/5.87 => ! [V4z: $i] :
% 5.64/5.87 ( ( mem @ V4z @ A_27b )
% 5.64/5.87 => ( ( ap @ ( ap @ V0f @ V2x ) @ ( ap @ ( ap @ V0f @ V3y ) @ V4z ) )
% 5.64/5.87 = ( ap @ ( ap @ V0f @ V3y ) @ ( ap @ ( ap @ V0f @ V2x ) @ V4z ) ) ) ) ) )
% 5.64/5.87 & ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ A_27a ) @ V1b ) ) )
% 5.64/5.87 => ! [V5x: $i] :
% 5.64/5.87 ( ( mem @ V5x @ A_27a )
% 5.64/5.87 => ! [V6a: $i] :
% 5.64/5.87 ( ( mem @ V6a @ A_27b )
% 5.64/5.87 => ( ( ap @ ( ap @ ( ap @ ( c_2Ebag_2EITBAG @ A_27a @ A_27b ) @ V0f ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ A_27a ) @ V5x ) @ V1b ) ) @ V6a )
% 5.64/5.87 = ( ap @ ( ap @ ( ap @ ( c_2Ebag_2EITBAG @ A_27a @ A_27b ) @ V0f ) @ V1b ) @ ( ap @ ( ap @ V0f @ V5x ) @ V6a ) ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2ECOMMUTING__ITBAG__RECURSES,axiom,
% 5.64/5.87 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.64/5.87 ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27b @ A_27b ) ) )
% 5.64/5.87 => ! [V1e: $i] :
% 5.64/5.87 ( ( mem @ V1e @ A_27a )
% 5.64/5.87 => ! [V2b: $i] :
% 5.64/5.87 ( ( mem @ V2b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V3a: $i] :
% 5.64/5.87 ( ( mem @ V3a @ A_27b )
% 5.64/5.87 => ( ( ! [V4x: $i] :
% 5.64/5.87 ( ( mem @ V4x @ A_27a )
% 5.64/5.87 => ! [V5y: $i] :
% 5.64/5.87 ( ( mem @ V5y @ A_27a )
% 5.64/5.87 => ! [V6z: $i] :
% 5.64/5.87 ( ( mem @ V6z @ A_27b )
% 5.64/5.87 => ( ( ap @ ( ap @ V0f @ V4x ) @ ( ap @ ( ap @ V0f @ V5y ) @ V6z ) )
% 5.64/5.87 = ( ap @ ( ap @ V0f @ V5y ) @ ( ap @ ( ap @ V0f @ V4x ) @ V6z ) ) ) ) ) )
% 5.64/5.87 & ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ A_27a ) @ V2b ) ) )
% 5.64/5.87 => ( ( ap @ ( ap @ ( ap @ ( c_2Ebag_2EITBAG @ A_27a @ A_27b ) @ V0f ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ A_27a ) @ V1e ) @ V2b ) ) @ V3a )
% 5.64/5.87 = ( ap @ ( ap @ V0f @ V1e ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebag_2EITBAG @ A_27a @ A_27b ) @ V0f ) @ V2b ) @ V3a ) ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(ax_thm_2Ebag_2EBAG__GEN__SUM__def,axiom,
% 5.64/5.87 ! [V0bag: $i] :
% 5.64/5.87 ( ( mem @ V0bag @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1n: tp__ty_2Enum_2Enum] :
% 5.64/5.87 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Ebag_2EBAG__GEN__SUM @ V0bag ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.64/5.87 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ ( c_2Ebag_2EITBAG @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ c_2Earithmetic_2E_2B ) @ V0bag ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(ax_thm_2Ebag_2EBAG__GEN__PROD__def,axiom,
% 5.64/5.87 ! [V0bag: $i] :
% 5.64/5.87 ( ( mem @ V0bag @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1n: tp__ty_2Enum_2Enum] :
% 5.64/5.87 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Ebag_2EBAG__GEN__PROD @ V0bag ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.64/5.87 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ ( c_2Ebag_2EITBAG @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ c_2Earithmetic_2E_2A ) @ V0bag ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__GEN__SUM__EMPTY,axiom,
% 5.64/5.87 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.64/5.87 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Ebag_2EBAG__GEN__SUM @ ( c_2Ebag_2EEMPTY__BAG @ ty_2Enum_2Enum ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.64/5.87 = V0n ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__GEN__PROD__EMPTY,axiom,
% 5.64/5.87 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.64/5.87 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Ebag_2EBAG__GEN__PROD @ ( c_2Ebag_2EEMPTY__BAG @ ty_2Enum_2Enum ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.64/5.87 = V0n ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__GEN__SUM__TAILREC,axiom,
% 5.64/5.87 ! [V0b: $i] :
% 5.64/5.87 ( ( mem @ V0b @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ ty_2Enum_2Enum ) @ V0b ) )
% 5.64/5.87 => ! [V1x: tp__ty_2Enum_2Enum,V2a: tp__ty_2Enum_2Enum] :
% 5.64/5.87 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Ebag_2EBAG__GEN__SUM @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ V0b ) ) @ ( inj__ty_2Enum_2Enum @ V2a ) ) )
% 5.64/5.87 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Ebag_2EBAG__GEN__SUM @ V0b ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( inj__ty_2Enum_2Enum @ V2a ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__GEN__SUM__REC,axiom,
% 5.64/5.87 ! [V0b: $i] :
% 5.64/5.87 ( ( mem @ V0b @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ ty_2Enum_2Enum ) @ V0b ) )
% 5.64/5.87 => ! [V1x: tp__ty_2Enum_2Enum,V2a: tp__ty_2Enum_2Enum] :
% 5.64/5.87 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Ebag_2EBAG__GEN__SUM @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ V0b ) ) @ ( inj__ty_2Enum_2Enum @ V2a ) ) )
% 5.64/5.87 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( ap @ c_2Ebag_2EBAG__GEN__SUM @ V0b ) @ ( inj__ty_2Enum_2Enum @ V2a ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__GEN__PROD__TAILREC,axiom,
% 5.64/5.87 ! [V0b: $i] :
% 5.64/5.87 ( ( mem @ V0b @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ ty_2Enum_2Enum ) @ V0b ) )
% 5.64/5.87 => ! [V1x: tp__ty_2Enum_2Enum,V2a: tp__ty_2Enum_2Enum] :
% 5.64/5.87 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Ebag_2EBAG__GEN__PROD @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ V0b ) ) @ ( inj__ty_2Enum_2Enum @ V2a ) ) )
% 5.64/5.87 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Ebag_2EBAG__GEN__PROD @ V0b ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( inj__ty_2Enum_2Enum @ V2a ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__GEN__PROD__REC,axiom,
% 5.64/5.87 ! [V0b: $i] :
% 5.64/5.87 ( ( mem @ V0b @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ ty_2Enum_2Enum ) @ V0b ) )
% 5.64/5.87 => ! [V1x: tp__ty_2Enum_2Enum,V2a: tp__ty_2Enum_2Enum] :
% 5.64/5.87 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Ebag_2EBAG__GEN__PROD @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ V0b ) ) @ ( inj__ty_2Enum_2Enum @ V2a ) ) )
% 5.64/5.87 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( ap @ c_2Ebag_2EBAG__GEN__PROD @ V0b ) @ ( inj__ty_2Enum_2Enum @ V2a ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__GEN__PROD__EQ__1,axiom,
% 5.64/5.87 ! [V0b: $i] :
% 5.64/5.87 ( ( mem @ V0b @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ ty_2Enum_2Enum ) @ V0b ) )
% 5.64/5.87 => ! [V1e: tp__ty_2Enum_2Enum] :
% 5.64/5.87 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Ebag_2EBAG__GEN__PROD @ V0b ) @ ( inj__ty_2Enum_2Enum @ V1e ) ) )
% 5.64/5.87 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.64/5.87 => ( V1e
% 5.64/5.87 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__GEN__PROD__ALL__ONES,axiom,
% 5.64/5.87 ! [V0b: $i] :
% 5.64/5.87 ( ( mem @ V0b @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ ty_2Enum_2Enum ) @ V0b ) )
% 5.64/5.87 => ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Ebag_2EBAG__GEN__PROD @ V0b ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.64/5.87 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.64/5.87 => ! [V1x: tp__ty_2Enum_2Enum] :
% 5.64/5.87 ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__IN @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ V0b ) )
% 5.64/5.87 => ( V1x
% 5.64/5.87 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__GEN__PROD__POSITIVE,axiom,
% 5.64/5.87 ! [V0b: $i] :
% 5.64/5.87 ( ( mem @ V0b @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ ty_2Enum_2Enum ) @ V0b ) )
% 5.64/5.87 => ( ! [V1x: tp__ty_2Enum_2Enum] :
% 5.64/5.87 ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__IN @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ V0b ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ ( ap @ c_2Ebag_2EBAG__GEN__PROD @ V0b ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(ax_thm_2Ebag_2EBAG__EVERY,axiom,
% 5.64/5.87 ! [A_27a: del,V0P: $i] :
% 5.64/5.87 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.64/5.87 => ! [V1b: $i] :
% 5.64/5.87 ( ( mem @ V1b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__EVERY @ A_27a ) @ V0P ) @ V1b ) )
% 5.64/5.87 <=> ! [V2e: $i] :
% 5.64/5.87 ( ( mem @ V2e @ A_27a )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__IN @ A_27a ) @ V2e ) @ V1b ) )
% 5.64/5.87 => ( p @ ( ap @ V0P @ V2e ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__EVERY__THM,axiom,
% 5.64/5.87 ! [A_27a: del,A_27b: del] :
% 5.64/5.87 ( ! [V0P: $i] :
% 5.64/5.87 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__EVERY @ A_27a ) @ V0P ) @ ( c_2Ebag_2EEMPTY__BAG @ A_27a ) ) ) )
% 5.64/5.87 & ! [V1P: $i] :
% 5.64/5.87 ( ( mem @ V1P @ ( arr @ A_27b @ bool ) )
% 5.64/5.87 => ! [V2e: $i] :
% 5.64/5.87 ( ( mem @ V2e @ A_27b )
% 5.64/5.87 => ! [V3b: $i] :
% 5.64/5.87 ( ( mem @ V3b @ ( arr @ A_27b @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__EVERY @ A_27b ) @ V1P ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ A_27b ) @ V2e ) @ V3b ) ) )
% 5.64/5.87 <=> ( ( p @ ( ap @ V1P @ V2e ) )
% 5.64/5.87 & ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__EVERY @ A_27b ) @ V1P ) @ V3b ) ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__EVERY__UNION,axiom,
% 5.64/5.87 ! [A_27a: del,V0P: $i] :
% 5.64/5.87 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.64/5.87 => ! [V1b1: $i] :
% 5.64/5.87 ( ( mem @ V1b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V2b2: $i] :
% 5.64/5.87 ( ( mem @ V2b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__EVERY @ A_27a ) @ V0P ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V1b1 ) @ V2b2 ) ) )
% 5.64/5.87 <=> ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__EVERY @ A_27a ) @ V0P ) @ V1b1 ) )
% 5.64/5.87 & ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__EVERY @ A_27a ) @ V0P ) @ V2b2 ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__EVERY__MERGE,axiom,
% 5.64/5.87 ! [A_27a: del,V0P: $i] :
% 5.64/5.87 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.64/5.87 => ! [V1b1: $i] :
% 5.64/5.87 ( ( mem @ V1b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V2b2: $i] :
% 5.64/5.87 ( ( mem @ V2b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__EVERY @ A_27a ) @ V0P ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__MERGE @ A_27a ) @ V1b1 ) @ V2b2 ) ) )
% 5.64/5.87 <=> ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__EVERY @ A_27a ) @ V0P ) @ V1b1 ) )
% 5.64/5.87 & ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__EVERY @ A_27a ) @ V0P ) @ V2b2 ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__EVERY__SET,axiom,
% 5.64/5.87 ! [A_27a: del,V0P: $i] :
% 5.64/5.87 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.64/5.87 => ! [V1b: $i] :
% 5.64/5.87 ( ( mem @ V1b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__EVERY @ A_27a ) @ V0P ) @ V1b ) )
% 5.64/5.87 <=> ( p
% 5.64/5.87 @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ ( ap @ ( c_2Ebag_2ESET__OF__BAG @ A_27a ) @ V1b ) )
% 5.64/5.87 @ ( ap @ ( c_2Epred__set_2EGSPEC @ A_27a @ A_27a )
% 5.64/5.87 @ ( lam @ A_27a
% 5.64/5.87 @ ^ [V2x: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ bool ) @ V2x ) @ ( ap @ V0P @ V2x ) ) ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__FILTER__EQ__EMPTY,axiom,
% 5.64/5.87 ! [A_27a: del,V0P: $i] :
% 5.64/5.87 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.64/5.87 => ! [V1b: $i] :
% 5.64/5.87 ( ( mem @ V1b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( ( ap @ ( ap @ ( c_2Ebag_2EBAG__FILTER @ A_27a ) @ V0P ) @ V1b )
% 5.64/5.87 = ( c_2Ebag_2EEMPTY__BAG @ A_27a ) )
% 5.64/5.87 <=> ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__EVERY @ A_27a ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27a @ bool @ bool ) @ c_2Ebool_2E_7E ) @ V0P ) ) @ V1b ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2ESET__OF__BAG__IMAGE,axiom,
% 5.64/5.87 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.64/5.87 ( ( mem @ V0f @ ( arr @ A_27b @ A_27a ) )
% 5.64/5.87 => ! [V1b: $i] :
% 5.64/5.87 ( ( mem @ V1b @ ( arr @ A_27b @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( ap @ ( c_2Ebag_2ESET__OF__BAG @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__IMAGE @ A_27a @ A_27b ) @ V0f ) @ V1b ) )
% 5.64/5.87 = ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27b @ A_27a ) @ V0f ) @ ( ap @ ( c_2Ebag_2ESET__OF__BAG @ A_27b ) @ V1b ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__IMAGE__FINITE__RESTRICTED__I,axiom,
% 5.64/5.87 ! [A_27a: del,V0f: $i] :
% 5.64/5.87 ( ( mem @ V0f @ ( arr @ A_27a @ A_27a ) )
% 5.64/5.87 => ! [V1b: $i] :
% 5.64/5.87 ( ( mem @ V1b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ A_27a ) @ V1b ) )
% 5.64/5.87 & ( p
% 5.64/5.87 @ ( ap
% 5.64/5.87 @ ( ap @ ( c_2Ebag_2EBAG__EVERY @ A_27a )
% 5.64/5.87 @ ( lam @ A_27a
% 5.64/5.87 @ ^ [V2e: $i] : ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ ( ap @ V0f @ V2e ) ) @ V2e ) ) )
% 5.64/5.87 @ V1b ) ) )
% 5.64/5.87 => ( ( ap @ ( ap @ ( c_2Ebag_2EBAG__IMAGE @ A_27a @ A_27a ) @ V0f ) @ V1b )
% 5.64/5.87 = V1b ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(ax_thm_2Ebag_2EBAG__ALL__DISTINCT,axiom,
% 5.64/5.87 ! [A_27a: del,V0b: $i] :
% 5.64/5.87 ( ( mem @ V0b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( c_2Ebag_2EBAG__ALL__DISTINCT @ A_27a ) @ V0b ) )
% 5.64/5.87 <=> ! [V1e: $i] :
% 5.64/5.87 ( ( mem @ V1e @ A_27a )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ V0b @ V1e ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__ALL__DISTINCT__THM,axiom,
% 5.64/5.87 ! [A_27a: del,A_27b: del] :
% 5.64/5.87 ( ( p @ ( ap @ ( c_2Ebag_2EBAG__ALL__DISTINCT @ A_27a ) @ ( c_2Ebag_2EEMPTY__BAG @ A_27a ) ) )
% 5.64/5.87 & ! [V0e: $i] :
% 5.64/5.87 ( ( mem @ V0e @ A_27b )
% 5.64/5.87 => ! [V1b: $i] :
% 5.64/5.87 ( ( mem @ V1b @ ( arr @ A_27b @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( c_2Ebag_2EBAG__ALL__DISTINCT @ A_27b ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ A_27b ) @ V0e ) @ V1b ) ) )
% 5.64/5.87 <=> ( ~ ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__IN @ A_27b ) @ V0e ) @ V1b ) )
% 5.64/5.87 & ( p @ ( ap @ ( c_2Ebag_2EBAG__ALL__DISTINCT @ A_27b ) @ V1b ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__ALL__DISTINCT__BAG__MERGE,axiom,
% 5.64/5.87 ! [A_27a: del,V0b1: $i] :
% 5.64/5.87 ( ( mem @ V0b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1b2: $i] :
% 5.64/5.87 ( ( mem @ V1b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( c_2Ebag_2EBAG__ALL__DISTINCT @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__MERGE @ A_27a ) @ V0b1 ) @ V1b2 ) ) )
% 5.64/5.87 <=> ( ( p @ ( ap @ ( c_2Ebag_2EBAG__ALL__DISTINCT @ A_27a ) @ V0b1 ) )
% 5.64/5.87 & ( p @ ( ap @ ( c_2Ebag_2EBAG__ALL__DISTINCT @ A_27a ) @ V1b2 ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__ALL__DISTINCT__BAG__UNION,axiom,
% 5.64/5.87 ! [A_27a: del,V0b1: $i] :
% 5.64/5.87 ( ( mem @ V0b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1b2: $i] :
% 5.64/5.87 ( ( mem @ V1b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( c_2Ebag_2EBAG__ALL__DISTINCT @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V0b1 ) @ V1b2 ) ) )
% 5.64/5.87 <=> ( ( p @ ( ap @ ( c_2Ebag_2EBAG__ALL__DISTINCT @ A_27a ) @ V0b1 ) )
% 5.64/5.87 & ( p @ ( ap @ ( c_2Ebag_2EBAG__ALL__DISTINCT @ A_27a ) @ V1b2 ) )
% 5.64/5.87 & ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__DISJOINT @ A_27a ) @ V0b1 ) @ V1b2 ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__ALL__DISTINCT__DIFF,axiom,
% 5.64/5.87 ! [A_27a: del,V0b1: $i] :
% 5.64/5.87 ( ( mem @ V0b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1b2: $i] :
% 5.64/5.87 ( ( mem @ V1b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( c_2Ebag_2EBAG__ALL__DISTINCT @ A_27a ) @ V0b1 ) )
% 5.64/5.87 => ( p @ ( ap @ ( c_2Ebag_2EBAG__ALL__DISTINCT @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__DIFF @ A_27a ) @ V0b1 ) @ V1b2 ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__ALL__DISTINCT__DELETE,axiom,
% 5.64/5.87 ! [A_27a: del,V0b: $i] :
% 5.64/5.87 ( ( mem @ V0b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( c_2Ebag_2EBAG__ALL__DISTINCT @ A_27a ) @ V0b ) )
% 5.64/5.87 <=> ! [V1e: $i] :
% 5.64/5.87 ( ( mem @ V1e @ A_27a )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__IN @ A_27a ) @ V1e ) @ V0b ) )
% 5.64/5.87 => ~ ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__IN @ A_27a ) @ V1e ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__DIFF @ A_27a ) @ V0b ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ A_27a ) @ V1e ) @ ( c_2Ebag_2EEMPTY__BAG @ A_27a ) ) ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__ALL__DISTINCT__SET,axiom,
% 5.64/5.87 ! [A_27a: del,V0b: $i] :
% 5.64/5.87 ( ( mem @ V0b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( c_2Ebag_2EBAG__ALL__DISTINCT @ A_27a ) @ V0b ) )
% 5.64/5.87 <=> ( ( ap @ ( c_2Ebag_2EBAG__OF__SET @ A_27a ) @ ( ap @ ( c_2Ebag_2ESET__OF__BAG @ A_27a ) @ V0b ) )
% 5.64/5.87 = V0b ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__ALL__DISTINCT__BAG__OF__SET,axiom,
% 5.64/5.87 ! [A_27a: del,V0s: $i] :
% 5.64/5.87 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.64/5.87 => ( p @ ( ap @ ( c_2Ebag_2EBAG__ALL__DISTINCT @ A_27a ) @ ( ap @ ( c_2Ebag_2EBAG__OF__SET @ A_27a ) @ V0s ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__IN__BAG__DIFF__ALL__DISTINCT,axiom,
% 5.64/5.87 ! [A_27a: del,V0b1: $i] :
% 5.64/5.87 ( ( mem @ V0b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1b2: $i] :
% 5.64/5.87 ( ( mem @ V1b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V2e: $i] :
% 5.64/5.87 ( ( mem @ V2e @ A_27a )
% 5.64/5.87 => ( ( p @ ( ap @ ( c_2Ebag_2EBAG__ALL__DISTINCT @ A_27a ) @ V0b1 ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__IN @ A_27a ) @ V2e ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__DIFF @ A_27a ) @ V0b1 ) @ V1b2 ) ) )
% 5.64/5.87 <=> ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__IN @ A_27a ) @ V2e ) @ V0b1 ) )
% 5.64/5.87 & ~ ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__IN @ A_27a ) @ V2e ) @ V1b2 ) ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2ESUB__BAG__ALL__DISTINCT,axiom,
% 5.64/5.87 ! [A_27a: del,V0b1: $i] :
% 5.64/5.87 ( ( mem @ V0b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1b2: $i] :
% 5.64/5.87 ( ( mem @ V1b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( c_2Ebag_2EBAG__ALL__DISTINCT @ A_27a ) @ V0b1 ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ V0b1 ) @ V1b2 ) )
% 5.64/5.87 <=> ! [V2x: $i] :
% 5.64/5.87 ( ( mem @ V2x @ A_27a )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__IN @ A_27a ) @ V2x ) @ V0b1 ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__IN @ A_27a ) @ V2x ) @ V1b2 ) ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__ALL__DISTINCT__BAG__INN,axiom,
% 5.64/5.87 ! [A_27a: del,V0b: $i] :
% 5.64/5.87 ( ( mem @ V0b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1n: tp__ty_2Enum_2Enum,V2e: $i] :
% 5.64/5.87 ( ( mem @ V2e @ A_27a )
% 5.64/5.87 => ( ( p @ ( ap @ ( c_2Ebag_2EBAG__ALL__DISTINCT @ A_27a ) @ V0b ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__INN @ A_27a ) @ V2e ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ V0b ) )
% 5.64/5.87 <=> ( ( V1n = fo__c_2Enum_2E0 )
% 5.64/5.87 | ( ( V1n
% 5.64/5.87 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.64/5.87 & ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__IN @ A_27a ) @ V2e ) @ V0b ) ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__ALL__DISTINCT__EXTENSION,axiom,
% 5.64/5.87 ! [A_27a: del,V0b1: $i] :
% 5.64/5.87 ( ( mem @ V0b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1b2: $i] :
% 5.64/5.87 ( ( mem @ V1b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( ( p @ ( ap @ ( c_2Ebag_2EBAG__ALL__DISTINCT @ A_27a ) @ V0b1 ) )
% 5.64/5.87 & ( p @ ( ap @ ( c_2Ebag_2EBAG__ALL__DISTINCT @ A_27a ) @ V1b2 ) ) )
% 5.64/5.87 => ( ( V0b1 = V1b2 )
% 5.64/5.87 <=> ! [V2x: $i] :
% 5.64/5.87 ( ( mem @ V2x @ A_27a )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__IN @ A_27a ) @ V2x ) @ V0b1 ) )
% 5.64/5.87 <=> ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__IN @ A_27a ) @ V2x ) @ V1b2 ) ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2ENOT__BAG__IN,axiom,
% 5.64/5.87 ! [A_27a: del,V0b: $i] :
% 5.64/5.87 ( ( mem @ V0b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1x: $i] :
% 5.64/5.87 ( ( mem @ V1x @ A_27a )
% 5.64/5.87 => ( ( ( surj__ty_2Enum_2Enum @ ( ap @ V0b @ V1x ) )
% 5.64/5.87 = fo__c_2Enum_2E0 )
% 5.64/5.87 <=> ~ ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__IN @ A_27a ) @ V1x ) @ V0b ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__UNION__EQ__LEFT,axiom,
% 5.64/5.87 ! [A_27a: del,V0b: $i] :
% 5.64/5.87 ( ( mem @ V0b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1c: $i] :
% 5.64/5.87 ( ( mem @ V1c @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V2d: $i] :
% 5.64/5.87 ( ( mem @ V2d @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V0b ) @ V1c )
% 5.64/5.87 = ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V0b ) @ V2d ) )
% 5.64/5.87 => ( V1c = V2d ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__IN__DIVIDES,axiom,
% 5.64/5.87 ! [V0b: $i] :
% 5.64/5.87 ( ( mem @ V0b @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1x: tp__ty_2Enum_2Enum,V2a: tp__ty_2Enum_2Enum] :
% 5.64/5.87 ( ( ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ ty_2Enum_2Enum ) @ V0b ) )
% 5.64/5.87 & ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__IN @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ V0b ) ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ c_2Edivides_2Edivides @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( ap @ c_2Ebag_2EBAG__GEN__PROD @ V0b ) @ ( inj__ty_2Enum_2Enum @ V2a ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__GEN__PROD__UNION__LEM,axiom,
% 5.64/5.87 ! [V0b1: $i] :
% 5.64/5.87 ( ( mem @ V0b1 @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ ty_2Enum_2Enum ) @ V0b1 ) )
% 5.64/5.87 => ! [V1b2: $i] :
% 5.64/5.87 ( ( mem @ V1b2 @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V2a: tp__ty_2Enum_2Enum,V3b: tp__ty_2Enum_2Enum] :
% 5.64/5.87 ( ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ ty_2Enum_2Enum ) @ V1b2 ) )
% 5.64/5.87 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Ebag_2EBAG__GEN__PROD @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ ty_2Enum_2Enum ) @ V0b1 ) @ V1b2 ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V2a ) ) @ ( inj__ty_2Enum_2Enum @ V3b ) ) ) )
% 5.64/5.87 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ ( ap @ c_2Ebag_2EBAG__GEN__PROD @ V0b1 ) @ ( inj__ty_2Enum_2Enum @ V2a ) ) ) @ ( ap @ ( ap @ c_2Ebag_2EBAG__GEN__PROD @ V1b2 ) @ ( inj__ty_2Enum_2Enum @ V3b ) ) ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__GEN__PROD__UNION,axiom,
% 5.64/5.87 ! [V0b1: $i] :
% 5.64/5.87 ( ( mem @ V0b1 @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1b2: $i] :
% 5.64/5.87 ( ( mem @ V1b2 @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ ty_2Enum_2Enum ) @ V0b1 ) )
% 5.64/5.87 & ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ ty_2Enum_2Enum ) @ V1b2 ) ) )
% 5.64/5.87 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Ebag_2EBAG__GEN__PROD @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ ty_2Enum_2Enum ) @ V0b1 ) @ V1b2 ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.64/5.87 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ ( ap @ c_2Ebag_2EBAG__GEN__PROD @ V0b1 ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( ap @ c_2Ebag_2EBAG__GEN__PROD @ V1b2 ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(ax_thm_2Ebag_2EBIG__BAG__UNION__def,axiom,
% 5.64/5.87 ! [A_27a: del,V0sob: $i] :
% 5.64/5.87 ( ( mem @ V0sob @ ( arr @ ( arr @ A_27a @ ty_2Enum_2Enum ) @ bool ) )
% 5.64/5.87 => ( ( ap @ ( c_2Ebag_2EBIG__BAG__UNION @ A_27a ) @ V0sob )
% 5.64/5.87 = ( lam @ A_27a
% 5.64/5.87 @ ^ [V1x: $i] :
% 5.64/5.87 ( ap
% 5.64/5.87 @ ( ap @ ( c_2Epred__set_2ESUM__IMAGE @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 @ ( lam @ ( arr @ A_27a @ ty_2Enum_2Enum )
% 5.64/5.87 @ ^ [V2b: $i] : ( ap @ V2b @ V1x ) ) )
% 5.64/5.87 @ V0sob ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBIG__BAG__UNION__EMPTY,axiom,
% 5.64/5.87 ! [A_27a: del] :
% 5.64/5.87 ( ( ap @ ( c_2Ebag_2EBIG__BAG__UNION @ A_27a ) @ ( c_2Epred__set_2EEMPTY @ ( arr @ A_27a @ ty_2Enum_2Enum ) ) )
% 5.64/5.87 = ( c_2Ebag_2EEMPTY__BAG @ A_27a ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBIG__BAG__UNION__INSERT,axiom,
% 5.64/5.87 ! [A_27a: del,V0sob: $i] :
% 5.64/5.87 ( ( mem @ V0sob @ ( arr @ ( arr @ A_27a @ ty_2Enum_2Enum ) @ bool ) )
% 5.64/5.87 => ! [V1b: $i] :
% 5.64/5.87 ( ( mem @ V1b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ ( arr @ A_27a @ ty_2Enum_2Enum ) ) @ V0sob ) )
% 5.64/5.87 => ( ( ap @ ( c_2Ebag_2EBIG__BAG__UNION @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ ( arr @ A_27a @ ty_2Enum_2Enum ) ) @ V1b ) @ V0sob ) )
% 5.64/5.87 = ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V1b ) @ ( ap @ ( c_2Ebag_2EBIG__BAG__UNION @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ ( arr @ A_27a @ ty_2Enum_2Enum ) ) @ V0sob ) @ V1b ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBIG__BAG__UNION__DELETE,axiom,
% 5.64/5.87 ! [A_27a: del,V0sob: $i] :
% 5.64/5.87 ( ( mem @ V0sob @ ( arr @ ( arr @ A_27a @ ty_2Enum_2Enum ) @ bool ) )
% 5.64/5.87 => ! [V1b: $i] :
% 5.64/5.87 ( ( mem @ V1b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ ( arr @ A_27a @ ty_2Enum_2Enum ) ) @ V0sob ) )
% 5.64/5.87 => ( ( ap @ ( c_2Ebag_2EBIG__BAG__UNION @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ ( arr @ A_27a @ ty_2Enum_2Enum ) ) @ V0sob ) @ V1b ) )
% 5.64/5.87 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( arr @ A_27a @ ty_2Enum_2Enum ) ) @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( arr @ A_27a @ ty_2Enum_2Enum ) ) @ V1b ) @ V0sob ) ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__DIFF @ A_27a ) @ ( ap @ ( c_2Ebag_2EBIG__BAG__UNION @ A_27a ) @ V0sob ) ) @ V1b ) ) @ ( ap @ ( c_2Ebag_2EBIG__BAG__UNION @ A_27a ) @ V0sob ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBIG__BAG__UNION__ITSET__BAG__UNION,axiom,
% 5.64/5.87 ! [A_27a: del,V0sob: $i] :
% 5.64/5.87 ( ( mem @ V0sob @ ( arr @ ( arr @ A_27a @ ty_2Enum_2Enum ) @ bool ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ ( arr @ A_27a @ ty_2Enum_2Enum ) ) @ V0sob ) )
% 5.64/5.87 => ( ( ap @ ( c_2Ebag_2EBIG__BAG__UNION @ A_27a ) @ V0sob )
% 5.64/5.87 = ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EITSET @ ( arr @ A_27a @ ty_2Enum_2Enum ) @ ( arr @ A_27a @ ty_2Enum_2Enum ) ) @ ( c_2Ebag_2EBAG__UNION @ A_27a ) ) @ V0sob ) @ ( c_2Ebag_2EEMPTY__BAG @ A_27a ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EFINITE__BIG__BAG__UNION,axiom,
% 5.64/5.87 ! [A_27a: del,V0sob: $i] :
% 5.64/5.87 ( ( mem @ V0sob @ ( arr @ ( arr @ A_27a @ ty_2Enum_2Enum ) @ bool ) )
% 5.64/5.87 => ( ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ ( arr @ A_27a @ ty_2Enum_2Enum ) ) @ V0sob ) )
% 5.64/5.87 & ! [V1b: $i] :
% 5.64/5.87 ( ( mem @ V1b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( arr @ A_27a @ ty_2Enum_2Enum ) ) @ V1b ) @ V0sob ) )
% 5.64/5.87 => ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ A_27a ) @ V1b ) ) ) ) )
% 5.64/5.87 => ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ A_27a ) @ ( ap @ ( c_2Ebag_2EBIG__BAG__UNION @ A_27a ) @ V0sob ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__IN__BIG__BAG__UNION,axiom,
% 5.64/5.87 ! [A_27a: del,V0P: $i] :
% 5.64/5.87 ( ( mem @ V0P @ ( arr @ ( arr @ A_27a @ ty_2Enum_2Enum ) @ bool ) )
% 5.64/5.87 => ! [V1e: $i] :
% 5.64/5.87 ( ( mem @ V1e @ A_27a )
% 5.64/5.87 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ ( arr @ A_27a @ ty_2Enum_2Enum ) ) @ V0P ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__IN @ A_27a ) @ V1e ) @ ( ap @ ( c_2Ebag_2EBIG__BAG__UNION @ A_27a ) @ V0P ) ) )
% 5.64/5.87 <=> ? [V2b: $i] :
% 5.64/5.87 ( ( mem @ V2b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 & ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__IN @ A_27a ) @ V1e ) @ V2b ) )
% 5.64/5.87 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( arr @ A_27a @ ty_2Enum_2Enum ) ) @ V2b ) @ V0P ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBIG__BAG__UNION__EQ__EMPTY__BAG,axiom,
% 5.64/5.87 ! [A_27a: del,V0sob: $i] :
% 5.64/5.87 ( ( mem @ V0sob @ ( arr @ ( arr @ A_27a @ ty_2Enum_2Enum ) @ bool ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ ( arr @ A_27a @ ty_2Enum_2Enum ) ) @ V0sob ) )
% 5.64/5.87 => ( ( ( ap @ ( c_2Ebag_2EBIG__BAG__UNION @ A_27a ) @ V0sob )
% 5.64/5.87 = ( c_2Ebag_2EEMPTY__BAG @ A_27a ) )
% 5.64/5.87 <=> ! [V1b: $i] :
% 5.64/5.87 ( ( mem @ V1b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( arr @ A_27a @ ty_2Enum_2Enum ) ) @ V1b ) @ V0sob ) )
% 5.64/5.87 => ( V1b
% 5.64/5.87 = ( c_2Ebag_2EEMPTY__BAG @ A_27a ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBIG__BAG__UNION__UNION,axiom,
% 5.64/5.87 ! [A_27a: del,V0s1: $i] :
% 5.64/5.87 ( ( mem @ V0s1 @ ( arr @ ( arr @ A_27a @ ty_2Enum_2Enum ) @ bool ) )
% 5.64/5.87 => ! [V1s2: $i] :
% 5.64/5.87 ( ( mem @ V1s2 @ ( arr @ ( arr @ A_27a @ ty_2Enum_2Enum ) @ bool ) )
% 5.64/5.87 => ( ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ ( arr @ A_27a @ ty_2Enum_2Enum ) ) @ V0s1 ) )
% 5.64/5.87 & ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ ( arr @ A_27a @ ty_2Enum_2Enum ) ) @ V1s2 ) ) )
% 5.64/5.87 => ( ( ap @ ( c_2Ebag_2EBIG__BAG__UNION @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ ( arr @ A_27a @ ty_2Enum_2Enum ) ) @ V0s1 ) @ V1s2 ) )
% 5.64/5.87 = ( ap @ ( ap @ ( c_2Ebag_2EBAG__DIFF @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ ( ap @ ( c_2Ebag_2EBIG__BAG__UNION @ A_27a ) @ V0s1 ) ) @ ( ap @ ( c_2Ebag_2EBIG__BAG__UNION @ A_27a ) @ V1s2 ) ) ) @ ( ap @ ( c_2Ebag_2EBIG__BAG__UNION @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ ( arr @ A_27a @ ty_2Enum_2Enum ) ) @ V0s1 ) @ V1s2 ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBIG__BAG__UNION__EQ__ELEMENT,axiom,
% 5.64/5.87 ! [A_27a: del,V0sob: $i] :
% 5.64/5.87 ( ( mem @ V0sob @ ( arr @ ( arr @ A_27a @ ty_2Enum_2Enum ) @ bool ) )
% 5.64/5.87 => ! [V1b: $i] :
% 5.64/5.87 ( ( mem @ V1b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ ( arr @ A_27a @ ty_2Enum_2Enum ) ) @ V0sob ) )
% 5.64/5.87 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( arr @ A_27a @ ty_2Enum_2Enum ) ) @ V1b ) @ V0sob ) ) )
% 5.64/5.87 => ( ( ( ap @ ( c_2Ebag_2EBIG__BAG__UNION @ A_27a ) @ V0sob )
% 5.64/5.87 = V1b )
% 5.64/5.87 <=> ! [V2b_27: $i] :
% 5.64/5.87 ( ( mem @ V2b_27 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( arr @ A_27a @ ty_2Enum_2Enum ) ) @ V2b_27 ) @ V0sob ) )
% 5.64/5.87 => ( ( V2b_27 = V1b )
% 5.64/5.87 | ( V2b_27
% 5.64/5.87 = ( c_2Ebag_2EEMPTY__BAG @ A_27a ) ) ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(ax_thm_2Ebag_2Emlt1__def,axiom,
% 5.64/5.87 ! [A_27a: del,V0r: $i] :
% 5.64/5.87 ( ( mem @ V0r @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.64/5.87 => ! [V1b1: $i] :
% 5.64/5.87 ( ( mem @ V1b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V2b2: $i] :
% 5.64/5.87 ( ( mem @ V2b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Ebag_2Emlt1 @ A_27a ) @ V0r ) @ V1b1 ) @ V2b2 ) )
% 5.64/5.87 <=> ( ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ A_27a ) @ V1b1 ) )
% 5.64/5.87 & ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ A_27a ) @ V2b2 ) )
% 5.64/5.87 & ? [V3e: $i] :
% 5.64/5.87 ( ( mem @ V3e @ A_27a )
% 5.64/5.87 & ? [V4rep: $i] :
% 5.64/5.87 ( ( mem @ V4rep @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 & ? [V5res: $i] :
% 5.64/5.87 ( ( mem @ V5res @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 & ( V1b1
% 5.64/5.87 = ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V4rep ) @ V5res ) )
% 5.64/5.87 & ( V2b2
% 5.64/5.87 = ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V5res ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ A_27a ) @ V3e ) @ ( c_2Ebag_2EEMPTY__BAG @ A_27a ) ) ) )
% 5.64/5.87 & ! [V6e_27: $i] :
% 5.64/5.87 ( ( mem @ V6e_27 @ A_27a )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__IN @ A_27a ) @ V6e_27 ) @ V4rep ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ V0r @ V6e_27 ) @ V3e ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__NOT__LESS__EMPTY,axiom,
% 5.64/5.87 ! [A_27a: del,V0r: $i] :
% 5.64/5.87 ( ( mem @ V0r @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.64/5.87 => ! [V1b: $i] :
% 5.64/5.87 ( ( mem @ V1b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ~ ( p @ ( ap @ ( ap @ ( ap @ ( c_2Ebag_2Emlt1 @ A_27a ) @ V0r ) @ V1b ) @ ( c_2Ebag_2EEMPTY__BAG @ A_27a ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2ENOT__mlt__EMPTY,axiom,
% 5.64/5.87 ! [A_27a: del,V0R: $i] :
% 5.64/5.87 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.64/5.87 => ! [V1b: $i] :
% 5.64/5.87 ( ( mem @ V1b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ~ ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ETC @ ( arr @ A_27a @ ty_2Enum_2Enum ) ) @ ( ap @ ( c_2Ebag_2Emlt1 @ A_27a ) @ V0R ) ) @ V1b ) @ ( c_2Ebag_2EEMPTY__BAG @ A_27a ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__LESS__ADD,axiom,
% 5.64/5.87 ! [A_27a: del,V0r: $i] :
% 5.64/5.87 ( ( mem @ V0r @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.64/5.87 => ! [V1N: $i] :
% 5.64/5.87 ( ( mem @ V1N @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V2M0: $i] :
% 5.64/5.87 ( ( mem @ V2M0 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V3a: $i] :
% 5.64/5.87 ( ( mem @ V3a @ A_27a )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Ebag_2Emlt1 @ A_27a ) @ V0r ) @ V1N ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V2M0 ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ A_27a ) @ V3a ) @ ( c_2Ebag_2EEMPTY__BAG @ A_27a ) ) ) ) )
% 5.64/5.87 => ( ? [V4M: $i] :
% 5.64/5.87 ( ( mem @ V4M @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Ebag_2Emlt1 @ A_27a ) @ V0r ) @ V4M ) @ V2M0 ) )
% 5.64/5.87 & ( V1N
% 5.64/5.87 = ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V4M ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ A_27a ) @ V3a ) @ ( c_2Ebag_2EEMPTY__BAG @ A_27a ) ) ) ) )
% 5.64/5.87 | ? [V5KK: $i] :
% 5.64/5.87 ( ( mem @ V5KK @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 & ! [V6b: $i] :
% 5.64/5.87 ( ( mem @ V6b @ A_27a )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__IN @ A_27a ) @ V6b ) @ V5KK ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ V0r @ V6b ) @ V3a ) ) ) )
% 5.64/5.87 & ( V1N
% 5.64/5.87 = ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V2M0 ) @ V5KK ) ) ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2Emlt1__all__accessible,axiom,
% 5.64/5.87 ! [A_27a: del,V0R: $i] :
% 5.64/5.87 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( c_2Erelation_2EWF @ A_27a ) @ V0R ) )
% 5.64/5.87 => ! [V1M: $i] :
% 5.64/5.87 ( ( mem @ V1M @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ ( c_2Erelation_2EWFP @ ( arr @ A_27a @ ty_2Enum_2Enum ) ) @ ( ap @ ( c_2Ebag_2Emlt1 @ A_27a ) @ V0R ) ) @ V1M ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EWF__mlt1,axiom,
% 5.64/5.87 ! [A_27a: del,V0R: $i] :
% 5.64/5.87 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( c_2Erelation_2EWF @ A_27a ) @ V0R ) )
% 5.64/5.87 => ( p @ ( ap @ ( c_2Erelation_2EWF @ ( arr @ A_27a @ ty_2Enum_2Enum ) ) @ ( ap @ ( c_2Ebag_2Emlt1 @ A_27a ) @ V0R ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2ETC__mlt1__FINITE__BAG,axiom,
% 5.64/5.87 ! [A_27a: del,V0R: $i] :
% 5.64/5.87 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.64/5.87 => ! [V1b1: $i] :
% 5.64/5.87 ( ( mem @ V1b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V2b2: $i] :
% 5.64/5.87 ( ( mem @ V2b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ETC @ ( arr @ A_27a @ ty_2Enum_2Enum ) ) @ ( ap @ ( c_2Ebag_2Emlt1 @ A_27a ) @ V0R ) ) @ V1b1 ) @ V2b2 ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ A_27a ) @ V1b1 ) )
% 5.64/5.87 & ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ A_27a ) @ V2b2 ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2ETC__mlt1__UNION2__I,axiom,
% 5.64/5.87 ! [A_27a: del,V0R: $i] :
% 5.64/5.87 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.64/5.87 => ! [V1b2: $i] :
% 5.64/5.87 ( ( mem @ V1b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V2b1: $i] :
% 5.64/5.87 ( ( mem @ V2b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ A_27a ) @ V1b2 ) )
% 5.64/5.87 & ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ A_27a ) @ V2b1 ) )
% 5.64/5.87 & ( V1b2
% 5.64/5.87 != ( c_2Ebag_2EEMPTY__BAG @ A_27a ) ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ETC @ ( arr @ A_27a @ ty_2Enum_2Enum ) ) @ ( ap @ ( c_2Ebag_2Emlt1 @ A_27a ) @ V0R ) ) @ V2b1 ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V2b1 ) @ V1b2 ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2ETC__mlt1__UNION1__I,axiom,
% 5.64/5.87 ! [A_27a: del,V0R: $i] :
% 5.64/5.87 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.64/5.87 => ! [V1b2: $i] :
% 5.64/5.87 ( ( mem @ V1b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V2b1: $i] :
% 5.64/5.87 ( ( mem @ V2b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ A_27a ) @ V1b2 ) )
% 5.64/5.87 & ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ A_27a ) @ V2b1 ) )
% 5.64/5.87 & ( V2b1
% 5.64/5.87 != ( c_2Ebag_2EEMPTY__BAG @ A_27a ) ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ETC @ ( arr @ A_27a @ ty_2Enum_2Enum ) ) @ ( ap @ ( c_2Ebag_2Emlt1 @ A_27a ) @ V0R ) ) @ V1b2 ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V2b1 ) @ V1b2 ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2Emlt__NOT__REFL,axiom,
% 5.64/5.87 ! [A_27a: del,V0R: $i] :
% 5.64/5.87 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.64/5.87 => ! [V1a: $i] :
% 5.64/5.87 ( ( mem @ V1a @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( c_2Erelation_2EWF @ A_27a ) @ V0R ) )
% 5.64/5.87 => ~ ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ETC @ ( arr @ A_27a @ ty_2Enum_2Enum ) ) @ ( ap @ ( c_2Ebag_2Emlt1 @ A_27a ) @ V0R ) ) @ V1a ) @ V1a ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2Emlt__INSERT__CANCEL__I,axiom,
% 5.64/5.87 ! [A_27a: del,V0R: $i] :
% 5.64/5.87 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.64/5.87 => ! [V1e: $i] :
% 5.64/5.87 ( ( mem @ V1e @ A_27a )
% 5.64/5.87 => ! [V2a: $i] :
% 5.64/5.87 ( ( mem @ V2a @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V3b: $i] :
% 5.64/5.87 ( ( mem @ V3b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ETC @ ( arr @ A_27a @ ty_2Enum_2Enum ) ) @ ( ap @ ( c_2Ebag_2Emlt1 @ A_27a ) @ V0R ) ) @ V2a ) @ V3b ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ETC @ ( arr @ A_27a @ ty_2Enum_2Enum ) ) @ ( ap @ ( c_2Ebag_2Emlt1 @ A_27a ) @ V0R ) ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ A_27a ) @ V1e ) @ V2a ) ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ A_27a ) @ V1e ) @ V3b ) ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2Emlt1__INSERT__CANCEL,axiom,
% 5.64/5.87 ! [A_27a: del,V0R: $i] :
% 5.64/5.87 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.64/5.87 => ! [V1e: $i] :
% 5.64/5.87 ( ( mem @ V1e @ A_27a )
% 5.64/5.87 => ! [V2a: $i] :
% 5.64/5.87 ( ( mem @ V2a @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V3b: $i] :
% 5.64/5.87 ( ( mem @ V3b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( c_2Erelation_2EWF @ A_27a ) @ V0R ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Ebag_2Emlt1 @ A_27a ) @ V0R ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ A_27a ) @ V1e ) @ V2a ) ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ A_27a ) @ V1e ) @ V3b ) ) )
% 5.64/5.87 <=> ( p @ ( ap @ ( ap @ ( ap @ ( c_2Ebag_2Emlt1 @ A_27a ) @ V0R ) @ V2a ) @ V3b ) ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(ax_thm_2Ebag_2Edominates__def,axiom,
% 5.64/5.87 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.64/5.87 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.64/5.87 => ! [V1s1: $i] :
% 5.64/5.87 ( ( mem @ V1s1 @ ( arr @ A_27a @ bool ) )
% 5.64/5.87 => ! [V2s2: $i] :
% 5.64/5.87 ( ( mem @ V2s2 @ ( arr @ A_27b @ bool ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Ebag_2Edominates @ A_27a @ A_27b ) @ V0R ) @ V1s1 ) @ V2s2 ) )
% 5.64/5.87 <=> ! [V3x: $i] :
% 5.64/5.87 ( ( mem @ V3x @ A_27a )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3x ) @ V1s1 ) )
% 5.64/5.87 => ? [V4y: $i] :
% 5.64/5.87 ( ( mem @ V4y @ A_27b )
% 5.64/5.87 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ V4y ) @ V2s2 ) )
% 5.64/5.87 & ( p @ ( ap @ ( ap @ V0R @ V3x ) @ V4y ) ) ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2Edominates__EMPTY,axiom,
% 5.64/5.87 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.64/5.87 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.64/5.87 => ! [V1b: $i] :
% 5.64/5.87 ( ( mem @ V1b @ ( arr @ A_27b @ bool ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Ebag_2Edominates @ A_27a @ A_27b ) @ V0R ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) @ V1b ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2Edominates__SUBSET,axiom,
% 5.64/5.87 ! [A_27a: del,V0R: $i] :
% 5.64/5.87 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.64/5.87 => ! [V1Y: $i] :
% 5.64/5.87 ( ( mem @ V1Y @ ( arr @ A_27a @ bool ) )
% 5.64/5.87 => ! [V2X: $i] :
% 5.64/5.87 ( ( mem @ V2X @ ( arr @ A_27a @ bool ) )
% 5.64/5.87 => ( ( ( p @ ( ap @ ( c_2Erelation_2Etransitive @ A_27a ) @ V0R ) )
% 5.64/5.87 & ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V1Y ) )
% 5.64/5.87 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Ebag_2Edominates @ A_27a @ A_27a ) @ V0R ) @ V1Y ) @ V2X ) )
% 5.64/5.87 & ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V2X ) @ V1Y ) )
% 5.64/5.87 & ( V2X
% 5.64/5.87 != ( c_2Epred__set_2EEMPTY @ A_27a ) ) )
% 5.64/5.87 => ? [V3x: $i] :
% 5.64/5.87 ( ( mem @ V3x @ A_27a )
% 5.64/5.87 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3x ) @ V2X ) )
% 5.64/5.87 & ( p @ ( ap @ ( ap @ V0R @ V3x ) @ V3x ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2Emlt__dominates__thm1,axiom,
% 5.64/5.87 ! [A_27a: del,V0R: $i] :
% 5.64/5.87 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( c_2Erelation_2Etransitive @ A_27a ) @ V0R ) )
% 5.64/5.87 => ! [V1b1: $i] :
% 5.64/5.87 ( ( mem @ V1b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V2b2: $i] :
% 5.64/5.87 ( ( mem @ V2b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ETC @ ( arr @ A_27a @ ty_2Enum_2Enum ) ) @ ( ap @ ( c_2Ebag_2Emlt1 @ A_27a ) @ V0R ) ) @ V1b1 ) @ V2b2 ) )
% 5.64/5.87 <=> ( ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ A_27a ) @ V1b1 ) )
% 5.64/5.87 & ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ A_27a ) @ V2b2 ) )
% 5.64/5.87 & ? [V3x: $i] :
% 5.64/5.87 ( ( mem @ V3x @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 & ? [V4y: $i] :
% 5.64/5.87 ( ( mem @ V4y @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 & ( V3x
% 5.64/5.87 != ( c_2Ebag_2EEMPTY__BAG @ A_27a ) )
% 5.64/5.87 & ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ V3x ) @ V2b2 ) )
% 5.64/5.87 & ( V1b1
% 5.64/5.87 = ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__DIFF @ A_27a ) @ V2b2 ) @ V3x ) ) @ V4y ) )
% 5.64/5.87 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Ebag_2Edominates @ A_27a @ A_27a ) @ V0R ) @ ( ap @ ( c_2Ebag_2ESET__OF__BAG @ A_27a ) @ V4y ) ) @ ( ap @ ( c_2Ebag_2ESET__OF__BAG @ A_27a ) @ V3x ) ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2Edominates__DIFF,axiom,
% 5.64/5.87 ! [A_27a: del,V0R: $i] :
% 5.64/5.87 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.64/5.87 => ! [V1x: $i] :
% 5.64/5.87 ( ( mem @ V1x @ ( arr @ A_27a @ bool ) )
% 5.64/5.87 => ! [V2y: $i] :
% 5.64/5.87 ( ( mem @ V2y @ ( arr @ A_27a @ bool ) )
% 5.64/5.87 => ! [V3i: $i] :
% 5.64/5.87 ( ( mem @ V3i @ ( arr @ A_27a @ bool ) )
% 5.64/5.87 => ( ( ( p @ ( ap @ ( c_2Erelation_2EWF @ A_27a ) @ V0R ) )
% 5.64/5.87 & ( p @ ( ap @ ( c_2Erelation_2Etransitive @ A_27a ) @ V0R ) )
% 5.64/5.87 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Ebag_2Edominates @ A_27a @ A_27a ) @ V0R ) @ V1x ) @ V2y ) )
% 5.64/5.87 & ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V3i ) )
% 5.64/5.87 & ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V3i ) @ V1x ) )
% 5.64/5.87 & ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V3i ) @ V2y ) ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Ebag_2Edominates @ A_27a @ A_27a ) @ V0R ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDIFF @ A_27a ) @ V1x ) @ V3i ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDIFF @ A_27a ) @ V2y ) @ V3i ) ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__INSERT__SUB__BAG__E,axiom,
% 5.64/5.87 ! [A_27a: del,V0e: $i] :
% 5.64/5.87 ( ( mem @ V0e @ A_27a )
% 5.64/5.87 => ! [V1b: $i] :
% 5.64/5.87 ( ( mem @ V1b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V2c: $i] :
% 5.64/5.87 ( ( mem @ V2c @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ A_27a ) @ V0e ) @ V1b ) ) @ V2c ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__IN @ A_27a ) @ V0e ) @ V2c ) )
% 5.64/5.87 & ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ V1b ) @ V2c ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2Ebdominates__BAG__DIFF,axiom,
% 5.64/5.87 ! [A_27a: del,V0R: $i] :
% 5.64/5.87 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.64/5.87 => ! [V1x: $i] :
% 5.64/5.87 ( ( mem @ V1x @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V2y: $i] :
% 5.64/5.87 ( ( mem @ V2y @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V3i: $i] :
% 5.64/5.87 ( ( mem @ V3i @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( ( p @ ( ap @ ( c_2Erelation_2EWF @ A_27a ) @ V0R ) )
% 5.64/5.87 & ( p @ ( ap @ ( c_2Erelation_2Etransitive @ A_27a ) @ V0R ) )
% 5.64/5.87 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Ebag_2Edominates @ A_27a @ A_27a ) @ V0R ) @ ( ap @ ( c_2Ebag_2ESET__OF__BAG @ A_27a ) @ V1x ) ) @ ( ap @ ( c_2Ebag_2ESET__OF__BAG @ A_27a ) @ V2y ) ) )
% 5.64/5.87 & ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ A_27a ) @ V3i ) )
% 5.64/5.87 & ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ V3i ) @ V1x ) )
% 5.64/5.87 & ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ V3i ) @ V2y ) ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Ebag_2Edominates @ A_27a @ A_27a ) @ V0R ) @ ( ap @ ( c_2Ebag_2ESET__OF__BAG @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__DIFF @ A_27a ) @ V1x ) @ V3i ) ) ) @ ( ap @ ( c_2Ebag_2ESET__OF__BAG @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__DIFF @ A_27a ) @ V2y ) @ V3i ) ) ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__INTER__SUB__BAG,axiom,
% 5.64/5.87 ! [A_27a: del,V0b1: $i] :
% 5.64/5.87 ( ( mem @ V0b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1b2: $i] :
% 5.64/5.87 ( ( mem @ V1b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__INTER @ A_27a ) @ V0b1 ) @ V1b2 ) ) @ V0b1 ) )
% 5.64/5.87 & ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__INTER @ A_27a ) @ V0b1 ) @ V1b2 ) ) @ V1b2 ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__INTER__FINITE,axiom,
% 5.64/5.87 ! [A_27a: del,V0b1: $i] :
% 5.64/5.87 ( ( mem @ V0b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1b2: $i] :
% 5.64/5.87 ( ( mem @ V1b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ A_27a ) @ V0b1 ) )
% 5.64/5.87 | ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ A_27a ) @ V1b2 ) ) )
% 5.64/5.87 => ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__INTER @ A_27a ) @ V0b1 ) @ V1b2 ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2Emlt__dominates__thm2,axiom,
% 5.64/5.87 ! [A_27a: del,V0R: $i] :
% 5.64/5.87 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.64/5.87 => ( ( ( p @ ( ap @ ( c_2Erelation_2EWF @ A_27a ) @ V0R ) )
% 5.64/5.87 & ( p @ ( ap @ ( c_2Erelation_2Etransitive @ A_27a ) @ V0R ) ) )
% 5.64/5.87 => ! [V1b1: $i] :
% 5.64/5.87 ( ( mem @ V1b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V2b2: $i] :
% 5.64/5.87 ( ( mem @ V2b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ETC @ ( arr @ A_27a @ ty_2Enum_2Enum ) ) @ ( ap @ ( c_2Ebag_2Emlt1 @ A_27a ) @ V0R ) ) @ V1b1 ) @ V2b2 ) )
% 5.64/5.87 <=> ( ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ A_27a ) @ V1b1 ) )
% 5.64/5.87 & ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ A_27a ) @ V2b2 ) )
% 5.64/5.87 & ? [V3x: $i] :
% 5.64/5.87 ( ( mem @ V3x @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 & ? [V4y: $i] :
% 5.64/5.87 ( ( mem @ V4y @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 & ( V3x
% 5.64/5.87 != ( c_2Ebag_2EEMPTY__BAG @ A_27a ) )
% 5.64/5.87 & ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ V3x ) @ V2b2 ) )
% 5.64/5.87 & ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__DISJOINT @ A_27a ) @ V3x ) @ V4y ) )
% 5.64/5.87 & ( V1b1
% 5.64/5.87 = ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__DIFF @ A_27a ) @ V2b2 ) @ V3x ) ) @ V4y ) )
% 5.64/5.87 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Ebag_2Edominates @ A_27a @ A_27a ) @ V0R ) @ ( ap @ ( c_2Ebag_2ESET__OF__BAG @ A_27a ) @ V4y ) ) @ ( ap @ ( c_2Ebag_2ESET__OF__BAG @ A_27a ) @ V3x ) ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__DIFF__INSERT__SUB__BAG,axiom,
% 5.64/5.87 ! [A_27a: del,V0c: $i] :
% 5.64/5.87 ( ( mem @ V0c @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1b: $i] :
% 5.64/5.87 ( ( mem @ V1b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V2e: $i] :
% 5.64/5.87 ( ( mem @ V2e @ A_27a )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ V0c ) @ V1b ) )
% 5.64/5.87 => ( ( ap @ ( ap @ ( c_2Ebag_2EBAG__DIFF @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ A_27a ) @ V2e ) @ V1b ) ) @ V0c )
% 5.64/5.87 = ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ A_27a ) @ V2e ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__DIFF @ A_27a ) @ V1b ) @ V0c ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2Emlt__INSERT__CANCEL,axiom,
% 5.64/5.87 ! [A_27a: del,V0R: $i] :
% 5.64/5.87 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.64/5.87 => ! [V1e: $i] :
% 5.64/5.87 ( ( mem @ V1e @ A_27a )
% 5.64/5.87 => ! [V2a: $i] :
% 5.64/5.87 ( ( mem @ V2a @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V3b: $i] :
% 5.64/5.87 ( ( mem @ V3b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( ( p @ ( ap @ ( c_2Erelation_2Etransitive @ A_27a ) @ V0R ) )
% 5.64/5.87 & ( p @ ( ap @ ( c_2Erelation_2EWF @ A_27a ) @ V0R ) ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ETC @ ( arr @ A_27a @ ty_2Enum_2Enum ) ) @ ( ap @ ( c_2Ebag_2Emlt1 @ A_27a ) @ V0R ) ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ A_27a ) @ V1e ) @ V2a ) ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ A_27a ) @ V1e ) @ V3b ) ) )
% 5.64/5.87 <=> ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ETC @ ( arr @ A_27a @ ty_2Enum_2Enum ) ) @ ( ap @ ( c_2Ebag_2Emlt1 @ A_27a ) @ V0R ) ) @ V2a ) @ V3b ) ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2Emlt__UNION__RCANCEL__I,axiom,
% 5.64/5.87 ! [A_27a: del,V0R: $i] :
% 5.64/5.87 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.64/5.87 => ! [V1a: $i] :
% 5.64/5.87 ( ( mem @ V1a @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V2b: $i] :
% 5.64/5.87 ( ( mem @ V2b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V3c: $i] :
% 5.64/5.87 ( ( mem @ V3c @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ETC @ ( arr @ A_27a @ ty_2Enum_2Enum ) ) @ ( ap @ ( c_2Ebag_2Emlt1 @ A_27a ) @ V0R ) ) @ V1a ) @ V2b ) )
% 5.64/5.87 & ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ A_27a ) @ V3c ) ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ETC @ ( arr @ A_27a @ ty_2Enum_2Enum ) ) @ ( ap @ ( c_2Ebag_2Emlt1 @ A_27a ) @ V0R ) ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V1a ) @ V3c ) ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V2b ) @ V3c ) ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2Emlt__UNION__RCANCEL,axiom,
% 5.64/5.87 ! [A_27a: del,V0R: $i] :
% 5.64/5.87 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.64/5.87 => ! [V1a: $i] :
% 5.64/5.87 ( ( mem @ V1a @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V2c: $i] :
% 5.64/5.87 ( ( mem @ V2c @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V3b: $i] :
% 5.64/5.87 ( ( mem @ V3b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( ( p @ ( ap @ ( c_2Erelation_2EWF @ A_27a ) @ V0R ) )
% 5.64/5.87 & ( p @ ( ap @ ( c_2Erelation_2Etransitive @ A_27a ) @ V0R ) ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ETC @ ( arr @ A_27a @ ty_2Enum_2Enum ) ) @ ( ap @ ( c_2Ebag_2Emlt1 @ A_27a ) @ V0R ) ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V1a ) @ V2c ) ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V3b ) @ V2c ) ) )
% 5.64/5.87 <=> ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ETC @ ( arr @ A_27a @ ty_2Enum_2Enum ) ) @ ( ap @ ( c_2Ebag_2Emlt1 @ A_27a ) @ V0R ) ) @ V1a ) @ V3b ) )
% 5.64/5.87 & ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ A_27a ) @ V2c ) ) ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2Emlt__UNION__LCANCEL__I,axiom,
% 5.64/5.87 ! [A_27a: del,V0R: $i] :
% 5.64/5.87 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.64/5.87 => ! [V1a: $i] :
% 5.64/5.87 ( ( mem @ V1a @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V2b: $i] :
% 5.64/5.87 ( ( mem @ V2b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V3c: $i] :
% 5.64/5.87 ( ( mem @ V3c @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ETC @ ( arr @ A_27a @ ty_2Enum_2Enum ) ) @ ( ap @ ( c_2Ebag_2Emlt1 @ A_27a ) @ V0R ) ) @ V1a ) @ V2b ) )
% 5.64/5.87 & ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ A_27a ) @ V3c ) ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ETC @ ( arr @ A_27a @ ty_2Enum_2Enum ) ) @ ( ap @ ( c_2Ebag_2Emlt1 @ A_27a ) @ V0R ) ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V3c ) @ V1a ) ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V3c ) @ V2b ) ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2Emlt__UNION__LCANCEL,axiom,
% 5.64/5.87 ! [A_27a: del,V0R: $i] :
% 5.64/5.87 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.64/5.87 => ! [V1c: $i] :
% 5.64/5.87 ( ( mem @ V1c @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V2a: $i] :
% 5.64/5.87 ( ( mem @ V2a @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V3b: $i] :
% 5.64/5.87 ( ( mem @ V3b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( ( p @ ( ap @ ( c_2Erelation_2EWF @ A_27a ) @ V0R ) )
% 5.64/5.87 & ( p @ ( ap @ ( c_2Erelation_2Etransitive @ A_27a ) @ V0R ) ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ETC @ ( arr @ A_27a @ ty_2Enum_2Enum ) ) @ ( ap @ ( c_2Ebag_2Emlt1 @ A_27a ) @ V0R ) ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V1c ) @ V2a ) ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V1c ) @ V3b ) ) )
% 5.64/5.87 <=> ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ETC @ ( arr @ A_27a @ ty_2Enum_2Enum ) ) @ ( ap @ ( c_2Ebag_2Emlt1 @ A_27a ) @ V0R ) ) @ V2a ) @ V3b ) )
% 5.64/5.87 & ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ A_27a ) @ V1c ) ) ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2Emlt__UNION__CANCEL__EQN,axiom,
% 5.64/5.87 ! [A_27a: del,V0R: $i] :
% 5.64/5.87 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.64/5.87 => ! [V1b1: $i] :
% 5.64/5.87 ( ( mem @ V1b1 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V2b2: $i] :
% 5.64/5.87 ( ( mem @ V2b2 @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( c_2Erelation_2EWF @ A_27a ) @ V0R ) )
% 5.64/5.87 => ( ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ETC @ ( arr @ A_27a @ ty_2Enum_2Enum ) ) @ ( ap @ ( c_2Ebag_2Emlt1 @ A_27a ) @ V0R ) ) @ V1b1 ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V1b1 ) @ V2b2 ) ) )
% 5.64/5.87 <=> ( ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ A_27a ) @ V1b1 ) )
% 5.64/5.87 & ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ A_27a ) @ V2b2 ) )
% 5.64/5.87 & ( V2b2
% 5.64/5.87 != ( c_2Ebag_2EEMPTY__BAG @ A_27a ) ) ) )
% 5.64/5.87 & ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ETC @ ( arr @ A_27a @ ty_2Enum_2Enum ) ) @ ( ap @ ( c_2Ebag_2Emlt1 @ A_27a ) @ V0R ) ) @ V1b1 ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ A_27a ) @ V2b2 ) @ V1b1 ) ) )
% 5.64/5.87 <=> ( ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ A_27a ) @ V1b1 ) )
% 5.64/5.87 & ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ A_27a ) @ V2b2 ) )
% 5.64/5.87 & ( V2b2
% 5.64/5.87 != ( c_2Ebag_2EEMPTY__BAG @ A_27a ) ) ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2Emlt__UNION__EMPTY__EQN,axiom,
% 5.64/5.87 $true ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2ESUB__BAG__SING,axiom,
% 5.64/5.87 ! [A_27a: del,V0b: $i] :
% 5.64/5.87 ( ( mem @ V0b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1e: $i] :
% 5.64/5.87 ( ( mem @ V1e @ A_27a )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ V0b ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ A_27a ) @ V1e ) @ ( c_2Ebag_2EEMPTY__BAG @ A_27a ) ) ) )
% 5.64/5.87 <=> ( ( V0b
% 5.64/5.87 = ( c_2Ebag_2EEMPTY__BAG @ A_27a ) )
% 5.64/5.87 | ( V0b
% 5.64/5.87 = ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ A_27a ) @ V1e ) @ ( c_2Ebag_2EEMPTY__BAG @ A_27a ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2ESUB__BAG__DIFF__simple,axiom,
% 5.64/5.87 ! [A_27a: del,V0b: $i] :
% 5.64/5.87 ( ( mem @ V0b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1c: $i] :
% 5.64/5.87 ( ( mem @ V1c @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ ( c_2Ebag_2ESUB__BAG @ A_27a ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__DIFF @ A_27a ) @ V0b ) @ V1c ) ) @ V0b ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EmltLT__SING0,axiom,
% 5.64/5.87 ! [V0b: $i] :
% 5.64/5.87 ( ( mem @ V0b @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ETC @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) @ ( ap @ ( c_2Ebag_2Emlt1 @ ty_2Enum_2Enum ) @ c_2Eprim__rec_2E_3C ) ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( c_2Ebag_2EEMPTY__BAG @ ty_2Enum_2Enum ) ) ) @ V0b ) )
% 5.64/5.87 <=> ( ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ ty_2Enum_2Enum ) @ V0b ) )
% 5.64/5.87 & ( V0b
% 5.64/5.87 != ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( c_2Ebag_2EEMPTY__BAG @ ty_2Enum_2Enum ) ) )
% 5.64/5.87 & ( V0b
% 5.64/5.87 != ( c_2Ebag_2EEMPTY__BAG @ ty_2Enum_2Enum ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(ax_thm_2Ebag_2Ebag__size__def,axiom,
% 5.64/5.87 ! [A_27a: del,V0eltsize: $i] :
% 5.64/5.87 ( ( mem @ V0eltsize @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1b: $i] :
% 5.64/5.87 ( ( mem @ V1b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( c_2Ebag_2Ebag__size @ A_27a ) @ V0eltsize ) @ V1b ) )
% 5.64/5.87 = ( surj__ty_2Enum_2Enum
% 5.64/5.87 @ ( ap
% 5.64/5.87 @ ( ap
% 5.64/5.87 @ ( ap @ ( c_2Ebag_2EITBAG @ A_27a @ ty_2Enum_2Enum )
% 5.64/5.87 @ ( lam @ A_27a
% 5.64/5.87 @ ^ [V2e: $i] :
% 5.64/5.87 ( lam @ ty_2Enum_2Enum
% 5.64/5.87 @ ^ [V3acc: $i] : ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ V0eltsize @ V2e ) ) ) @ V3acc ) ) ) )
% 5.64/5.87 @ V1b )
% 5.64/5.87 @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__SIZE__EMPTY,axiom,
% 5.64/5.87 ! [A_27a: del,V0eltsize: $i] :
% 5.64/5.87 ( ( mem @ V0eltsize @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( c_2Ebag_2Ebag__size @ A_27a ) @ V0eltsize ) @ ( c_2Ebag_2EEMPTY__BAG @ A_27a ) ) )
% 5.64/5.87 = fo__c_2Enum_2E0 ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Ebag_2EBAG__SIZE__INSERT,axiom,
% 5.64/5.87 ! [A_27a: del,V0b: $i] :
% 5.64/5.87 ( ( mem @ V0b @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1eltsize: $i] :
% 5.64/5.87 ( ( mem @ V1eltsize @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V2e: $i] :
% 5.64/5.87 ( ( mem @ V2e @ A_27a )
% 5.64/5.87 => ( ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ A_27a ) @ V0b ) )
% 5.64/5.87 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( c_2Ebag_2Ebag__size @ A_27a ) @ V1eltsize ) @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ A_27a ) @ V2e ) @ V0b ) ) )
% 5.64/5.87 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ V1eltsize @ V2e ) ) ) @ ( ap @ ( ap @ ( c_2Ebag_2Ebag__size @ A_27a ) @ V1eltsize ) @ V0b ) ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 %------------------------------------------------------------------------------
% 5.64/5.87 %------------------------------------------------------------------------------
% 5.64/5.87 thf(tp_c_2Etransfer_2EFUN__REL,type,
% 5.64/5.87 c_2Etransfer_2EFUN__REL: del > del > del > del > $i ).
% 5.64/5.87
% 5.64/5.87 thf(mem_c_2Etransfer_2EFUN__REL,axiom,
% 5.64/5.87 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del] : ( mem @ ( c_2Etransfer_2EFUN__REL @ A_27a @ A_27b @ A_27c @ A_27d ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) @ ( arr @ ( arr @ A_27c @ ( arr @ A_27d @ bool ) ) @ ( arr @ ( arr @ A_27a @ A_27c ) @ ( arr @ ( arr @ A_27b @ A_27d ) @ bool ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(tp_c_2Etransfer_2EPAIR__REL,type,
% 5.64/5.87 c_2Etransfer_2EPAIR__REL: del > del > del > del > $i ).
% 5.64/5.87
% 5.64/5.87 thf(mem_c_2Etransfer_2EPAIR__REL,axiom,
% 5.64/5.87 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del] : ( mem @ ( c_2Etransfer_2EPAIR__REL @ A_27a @ A_27b @ A_27c @ A_27d ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) @ ( arr @ ( arr @ A_27c @ ( arr @ A_27d @ bool ) ) @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27c ) @ ( arr @ ( ty_2Epair_2Eprod @ A_27b @ A_27d ) @ bool ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(tp_c_2Etransfer_2Ebi__unique,type,
% 5.64/5.87 c_2Etransfer_2Ebi__unique: del > del > $i ).
% 5.64/5.87
% 5.64/5.87 thf(mem_c_2Etransfer_2Ebi__unique,axiom,
% 5.64/5.87 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Etransfer_2Ebi__unique @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) @ bool ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(tp_c_2Etransfer_2Ebitotal,type,
% 5.64/5.87 c_2Etransfer_2Ebitotal: del > del > $i ).
% 5.64/5.87
% 5.64/5.87 thf(mem_c_2Etransfer_2Ebitotal,axiom,
% 5.64/5.87 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Etransfer_2Ebitotal @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) @ bool ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(tp_c_2Etransfer_2Eleft__unique,type,
% 5.64/5.87 c_2Etransfer_2Eleft__unique: del > del > $i ).
% 5.64/5.87
% 5.64/5.87 thf(mem_c_2Etransfer_2Eleft__unique,axiom,
% 5.64/5.87 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Etransfer_2Eleft__unique @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) @ bool ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(tp_c_2Etransfer_2Eright__unique,type,
% 5.64/5.87 c_2Etransfer_2Eright__unique: del > del > $i ).
% 5.64/5.87
% 5.64/5.87 thf(mem_c_2Etransfer_2Eright__unique,axiom,
% 5.64/5.87 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Etransfer_2Eright__unique @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) @ bool ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(tp_c_2Etransfer_2Esurj,type,
% 5.64/5.87 c_2Etransfer_2Esurj: del > del > $i ).
% 5.64/5.87
% 5.64/5.87 thf(mem_c_2Etransfer_2Esurj,axiom,
% 5.64/5.87 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Etransfer_2Esurj @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) @ bool ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(tp_c_2Etransfer_2Etotal,type,
% 5.64/5.87 c_2Etransfer_2Etotal: del > del > $i ).
% 5.64/5.87
% 5.64/5.87 thf(mem_c_2Etransfer_2Etotal,axiom,
% 5.64/5.87 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Etransfer_2Etotal @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) @ bool ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(ax_thm_2Etransfer_2Eright__unique__def,axiom,
% 5.64/5.87 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.64/5.87 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( c_2Etransfer_2Eright__unique @ A_27a @ A_27b ) @ V0R ) )
% 5.64/5.87 <=> ! [V1a: $i] :
% 5.64/5.87 ( ( mem @ V1a @ A_27a )
% 5.64/5.87 => ! [V2b1: $i] :
% 5.64/5.87 ( ( mem @ V2b1 @ A_27b )
% 5.64/5.87 => ! [V3b2: $i] :
% 5.64/5.87 ( ( mem @ V3b2 @ A_27b )
% 5.64/5.87 => ( ( ( p @ ( ap @ ( ap @ V0R @ V1a ) @ V2b1 ) )
% 5.64/5.87 & ( p @ ( ap @ ( ap @ V0R @ V1a ) @ V3b2 ) ) )
% 5.64/5.87 => ( V2b1 = V3b2 ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(ax_thm_2Etransfer_2Eleft__unique__def,axiom,
% 5.64/5.87 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.64/5.87 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( c_2Etransfer_2Eleft__unique @ A_27a @ A_27b ) @ V0R ) )
% 5.64/5.87 <=> ! [V1a1: $i] :
% 5.64/5.87 ( ( mem @ V1a1 @ A_27a )
% 5.64/5.87 => ! [V2a2: $i] :
% 5.64/5.87 ( ( mem @ V2a2 @ A_27a )
% 5.64/5.87 => ! [V3b: $i] :
% 5.64/5.87 ( ( mem @ V3b @ A_27b )
% 5.64/5.87 => ( ( ( p @ ( ap @ ( ap @ V0R @ V1a1 ) @ V3b ) )
% 5.64/5.87 & ( p @ ( ap @ ( ap @ V0R @ V2a2 ) @ V3b ) ) )
% 5.64/5.87 => ( V1a1 = V2a2 ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(ax_thm_2Etransfer_2Ebi__unique__def,axiom,
% 5.64/5.87 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.64/5.87 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( c_2Etransfer_2Ebi__unique @ A_27a @ A_27b ) @ V0R ) )
% 5.64/5.87 <=> ( ( p @ ( ap @ ( c_2Etransfer_2Eleft__unique @ A_27a @ A_27b ) @ V0R ) )
% 5.64/5.87 & ( p @ ( ap @ ( c_2Etransfer_2Eright__unique @ A_27a @ A_27b ) @ V0R ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(ax_thm_2Etransfer_2Etotal__def,axiom,
% 5.64/5.87 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.64/5.87 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( c_2Etransfer_2Etotal @ A_27a @ A_27b ) @ V0R ) )
% 5.64/5.87 <=> ! [V1x: $i] :
% 5.64/5.87 ( ( mem @ V1x @ A_27a )
% 5.64/5.87 => ? [V2y: $i] :
% 5.64/5.87 ( ( mem @ V2y @ A_27b )
% 5.64/5.87 & ( p @ ( ap @ ( ap @ V0R @ V1x ) @ V2y ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(ax_thm_2Etransfer_2Esurj__def,axiom,
% 5.64/5.87 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.64/5.87 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( c_2Etransfer_2Esurj @ A_27a @ A_27b ) @ V0R ) )
% 5.64/5.87 <=> ! [V1y: $i] :
% 5.64/5.87 ( ( mem @ V1y @ A_27b )
% 5.64/5.87 => ? [V2x: $i] :
% 5.64/5.87 ( ( mem @ V2x @ A_27a )
% 5.64/5.87 & ( p @ ( ap @ ( ap @ V0R @ V2x ) @ V1y ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(ax_thm_2Etransfer_2Ebitotal__def,axiom,
% 5.64/5.87 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.64/5.87 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( c_2Etransfer_2Ebitotal @ A_27a @ A_27b ) @ V0R ) )
% 5.64/5.87 <=> ( ( p @ ( ap @ ( c_2Etransfer_2Etotal @ A_27a @ A_27b ) @ V0R ) )
% 5.64/5.87 & ( p @ ( ap @ ( c_2Etransfer_2Esurj @ A_27a @ A_27b ) @ V0R ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(ax_thm_2Etransfer_2EFUN__REL__def,axiom,
% 5.64/5.87 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0AB: $i] :
% 5.64/5.87 ( ( mem @ V0AB @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.64/5.87 => ! [V1CD: $i] :
% 5.64/5.87 ( ( mem @ V1CD @ ( arr @ A_27c @ ( arr @ A_27d @ bool ) ) )
% 5.64/5.87 => ! [V2f: $i] :
% 5.64/5.87 ( ( mem @ V2f @ ( arr @ A_27a @ A_27c ) )
% 5.64/5.87 => ! [V3g: $i] :
% 5.64/5.87 ( ( mem @ V3g @ ( arr @ A_27b @ A_27d ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Etransfer_2EFUN__REL @ A_27a @ A_27b @ A_27c @ A_27d ) @ V0AB ) @ V1CD ) @ V2f ) @ V3g ) )
% 5.64/5.87 <=> ! [V4a: $i] :
% 5.64/5.87 ( ( mem @ V4a @ A_27a )
% 5.64/5.87 => ! [V5b: $i] :
% 5.64/5.87 ( ( mem @ V5b @ A_27b )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ V0AB @ V4a ) @ V5b ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ V1CD @ ( ap @ V2f @ V4a ) ) @ ( ap @ V3g @ V5b ) ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Etransfer_2EFUN__REL__COMB,axiom,
% 5.64/5.87 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0AB: $i] :
% 5.64/5.87 ( ( mem @ V0AB @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.64/5.87 => ! [V1CD: $i] :
% 5.64/5.87 ( ( mem @ V1CD @ ( arr @ A_27c @ ( arr @ A_27d @ bool ) ) )
% 5.64/5.87 => ! [V2f: $i] :
% 5.64/5.87 ( ( mem @ V2f @ ( arr @ A_27a @ A_27c ) )
% 5.64/5.87 => ! [V3g: $i] :
% 5.64/5.87 ( ( mem @ V3g @ ( arr @ A_27b @ A_27d ) )
% 5.64/5.87 => ! [V4a: $i] :
% 5.64/5.87 ( ( mem @ V4a @ A_27a )
% 5.64/5.87 => ! [V5b: $i] :
% 5.64/5.87 ( ( mem @ V5b @ A_27b )
% 5.64/5.87 => ( ( ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Etransfer_2EFUN__REL @ A_27a @ A_27b @ A_27c @ A_27d ) @ V0AB ) @ V1CD ) @ V2f ) @ V3g ) )
% 5.64/5.87 & ( p @ ( ap @ ( ap @ V0AB @ V4a ) @ V5b ) ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ V1CD @ ( ap @ V2f @ V4a ) ) @ ( ap @ V3g @ V5b ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Etransfer_2EFUN__REL__ABS,axiom,
% 5.64/5.87 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0AB: $i] :
% 5.64/5.87 ( ( mem @ V0AB @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.64/5.87 => ! [V1CD: $i] :
% 5.64/5.87 ( ( mem @ V1CD @ ( arr @ A_27c @ ( arr @ A_27d @ bool ) ) )
% 5.64/5.87 => ! [V2f: $i] :
% 5.64/5.87 ( ( mem @ V2f @ ( arr @ A_27a @ A_27c ) )
% 5.64/5.87 => ! [V3g: $i] :
% 5.64/5.87 ( ( mem @ V3g @ ( arr @ A_27b @ A_27d ) )
% 5.64/5.87 => ( ! [V4a: $i] :
% 5.64/5.87 ( ( mem @ V4a @ A_27a )
% 5.64/5.87 => ! [V5b: $i] :
% 5.64/5.87 ( ( mem @ V5b @ A_27b )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ V0AB @ V4a ) @ V5b ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ V1CD @ ( ap @ V2f @ V4a ) ) @ ( ap @ V3g @ V5b ) ) ) ) ) )
% 5.64/5.87 => ( p
% 5.64/5.87 @ ( ap
% 5.64/5.87 @ ( ap @ ( ap @ ( ap @ ( c_2Etransfer_2EFUN__REL @ A_27a @ A_27b @ A_27c @ A_27d ) @ V0AB ) @ V1CD )
% 5.64/5.87 @ ( lam @ A_27a
% 5.64/5.87 @ ^ [V6a: $i] : ( ap @ V2f @ V6a ) ) )
% 5.64/5.87 @ ( lam @ A_27b
% 5.64/5.87 @ ^ [V7b: $i] : ( ap @ V3g @ V7b ) ) ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2Etransfer_2EFUN__REL__EQ2,axiom,
% 5.64/5.87 ! [A_27a: del,A_27b: del] :
% 5.64/5.87 ( ( ap @ ( ap @ ( c_2Etransfer_2EFUN__REL @ A_27a @ A_27a @ A_27b @ A_27b ) @ ( c_2Emin_2E_3D @ A_27a ) ) @ ( c_2Emin_2E_3D @ A_27b ) )
% 5.64/5.87 = ( c_2Emin_2E_3D @ ( arr @ A_27a @ A_27b ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(ax_thm_2Etransfer_2EPAIR__REL__def,axiom,
% 5.64/5.87 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0AB: $i] :
% 5.64/5.87 ( ( mem @ V0AB @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.64/5.87 => ! [V1CD: $i] :
% 5.64/5.87 ( ( mem @ V1CD @ ( arr @ A_27c @ ( arr @ A_27d @ bool ) ) )
% 5.64/5.87 => ! [V2a: $i] :
% 5.64/5.87 ( ( mem @ V2a @ A_27a )
% 5.64/5.87 => ! [V3c: $i] :
% 5.64/5.87 ( ( mem @ V3c @ A_27c )
% 5.64/5.87 => ! [V4b: $i] :
% 5.64/5.87 ( ( mem @ V4b @ A_27b )
% 5.64/5.87 => ! [V5d: $i] :
% 5.64/5.87 ( ( mem @ V5d @ A_27d )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Etransfer_2EPAIR__REL @ A_27a @ A_27b @ A_27c @ A_27d ) @ V0AB ) @ V1CD ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27c ) @ V2a ) @ V3c ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27b @ A_27d ) @ V4b ) @ V5d ) ) )
% 5.64/5.87 <=> ( ( p @ ( ap @ ( ap @ V0AB @ V2a ) @ V4b ) )
% 5.64/5.87 & ( p @ ( ap @ ( ap @ V1CD @ V3c ) @ V5d ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 %------------------------------------------------------------------------------
% 5.64/5.87 %------------------------------------------------------------------------------
% 5.64/5.87 thf(tp_c_2EdirGraph_2EEXCLUDE,type,
% 5.64/5.87 c_2EdirGraph_2EEXCLUDE: del > del > $i ).
% 5.64/5.87
% 5.64/5.87 thf(mem_c_2EdirGraph_2EEXCLUDE,axiom,
% 5.64/5.87 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2EdirGraph_2EEXCLUDE @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27b @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( arr @ ( arr @ A_27b @ bool ) @ ( arr @ A_27b @ ( ty_2Elist_2Elist @ A_27a ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(tp_c_2EdirGraph_2EParents,type,
% 5.64/5.87 c_2EdirGraph_2EParents: del > del > $i ).
% 5.64/5.87
% 5.64/5.87 thf(mem_c_2EdirGraph_2EParents,axiom,
% 5.64/5.87 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2EdirGraph_2EParents @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ ( ty_2Elist_2Elist @ A_27b ) ) @ ( arr @ A_27a @ bool ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(tp_c_2EdirGraph_2EREACH,type,
% 5.64/5.87 c_2EdirGraph_2EREACH: del > $i ).
% 5.64/5.87
% 5.64/5.87 thf(mem_c_2EdirGraph_2EREACH,axiom,
% 5.64/5.87 ! [A_27a: del] : ( mem @ ( c_2EdirGraph_2EREACH @ A_27a ) @ ( arr @ ( arr @ A_27a @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(tp_c_2EdirGraph_2EREACH__LIST,type,
% 5.64/5.87 c_2EdirGraph_2EREACH__LIST: del > $i ).
% 5.64/5.87
% 5.64/5.87 thf(mem_c_2EdirGraph_2EREACH__LIST,axiom,
% 5.64/5.87 ! [A_27a: del] : ( mem @ ( c_2EdirGraph_2EREACH__LIST @ A_27a ) @ ( arr @ ( arr @ A_27a @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ A_27a @ bool ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(ax_thm_2EdirGraph_2EParents__def,axiom,
% 5.64/5.87 ! [A_27a: del,A_27b: del,V0G: $i] :
% 5.64/5.87 ( ( mem @ V0G @ ( arr @ A_27a @ ( ty_2Elist_2Elist @ A_27b ) ) )
% 5.64/5.87 => ( ( ap @ ( c_2EdirGraph_2EParents @ A_27a @ A_27b ) @ V0G )
% 5.64/5.87 = ( ap @ ( c_2Epred__set_2EGSPEC @ A_27a @ A_27a )
% 5.64/5.87 @ ( lam @ A_27a
% 5.64/5.87 @ ^ [V1x: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ bool ) @ V1x ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Elist_2Elist @ A_27b ) ) @ ( ap @ V0G @ V1x ) ) @ ( c_2Elist_2ENIL @ A_27b ) ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(ax_thm_2EdirGraph_2EREACH__def,axiom,
% 5.64/5.87 ! [A_27a: del,V0G: $i] :
% 5.64/5.87 ( ( mem @ V0G @ ( arr @ A_27a @ ( ty_2Elist_2Elist @ A_27a ) ) )
% 5.64/5.87 => ( ( ap @ ( c_2EdirGraph_2EREACH @ A_27a ) @ V0G )
% 5.64/5.87 = ( ap @ ( c_2Erelation_2ERTC @ A_27a )
% 5.64/5.87 @ ( lam @ A_27a
% 5.64/5.87 @ ^ [V1x: $i] :
% 5.64/5.87 ( lam @ A_27a
% 5.64/5.87 @ ^ [V2y: $i] : ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2y ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ ( ap @ V0G @ V1x ) ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(ax_thm_2EdirGraph_2EREACH__LIST__def,axiom,
% 5.64/5.87 ! [A_27a: del,V0G: $i] :
% 5.64/5.87 ( ( mem @ V0G @ ( arr @ A_27a @ ( ty_2Elist_2Elist @ A_27a ) ) )
% 5.64/5.87 => ! [V1nodes: $i] :
% 5.64/5.87 ( ( mem @ V1nodes @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.87 => ! [V2y: $i] :
% 5.64/5.87 ( ( mem @ V2y @ A_27a )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2EdirGraph_2EREACH__LIST @ A_27a ) @ V0G ) @ V1nodes ) @ V2y ) )
% 5.64/5.87 <=> ? [V3x: $i] :
% 5.64/5.87 ( ( mem @ V3x @ A_27a )
% 5.64/5.87 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V1nodes ) ) )
% 5.64/5.87 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2y ) @ ( ap @ ( ap @ ( c_2EdirGraph_2EREACH @ A_27a ) @ V0G ) @ V3x ) ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(ax_thm_2EdirGraph_2EEXCLUDE__def,axiom,
% 5.64/5.87 ! [A_27a: del,A_27b: del,V0G: $i] :
% 5.64/5.87 ( ( mem @ V0G @ ( arr @ A_27b @ ( ty_2Elist_2Elist @ A_27a ) ) )
% 5.64/5.87 => ! [V1ex: $i] :
% 5.64/5.87 ( ( mem @ V1ex @ ( arr @ A_27b @ bool ) )
% 5.64/5.87 => ! [V2node: $i] :
% 5.64/5.87 ( ( mem @ V2node @ A_27b )
% 5.64/5.87 => ( ( ap @ ( ap @ ( ap @ ( c_2EdirGraph_2EEXCLUDE @ A_27a @ A_27b ) @ V0G ) @ V1ex ) @ V2node )
% 5.64/5.87 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ V2node ) @ V1ex ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) @ ( ap @ V0G @ V2node ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2EdirGraph_2EEXCLUDE__LEM,axiom,
% 5.64/5.87 ! [A_27a: del,A_27b: del,V0G: $i] :
% 5.64/5.87 ( ( mem @ V0G @ ( arr @ A_27a @ ( ty_2Elist_2Elist @ A_27b ) ) )
% 5.64/5.87 => ! [V1x: $i] :
% 5.64/5.87 ( ( mem @ V1x @ A_27a )
% 5.64/5.87 => ! [V2l: $i] :
% 5.64/5.87 ( ( mem @ V2l @ ( arr @ A_27a @ bool ) )
% 5.64/5.87 => ( ( ap @ ( ap @ ( c_2EdirGraph_2EEXCLUDE @ A_27b @ A_27a ) @ V0G ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V1x ) @ V2l ) )
% 5.64/5.87 = ( ap @ ( ap @ ( c_2EdirGraph_2EEXCLUDE @ A_27b @ A_27a ) @ ( ap @ ( ap @ ( c_2EdirGraph_2EEXCLUDE @ A_27b @ A_27a ) @ V0G ) @ V2l ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V1x ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2EdirGraph_2EREACH__EXCLUDE,axiom,
% 5.64/5.87 ! [A_27a: del,V0G: $i] :
% 5.64/5.87 ( ( mem @ V0G @ ( arr @ A_27a @ ( ty_2Elist_2Elist @ A_27a ) ) )
% 5.64/5.87 => ! [V1x: $i] :
% 5.64/5.87 ( ( mem @ V1x @ ( arr @ A_27a @ bool ) )
% 5.64/5.87 => ( ( ap @ ( c_2EdirGraph_2EREACH @ A_27a ) @ ( ap @ ( ap @ ( c_2EdirGraph_2EEXCLUDE @ A_27a @ A_27a ) @ V0G ) @ V1x ) )
% 5.64/5.87 = ( ap @ ( c_2Erelation_2ERTC @ A_27a )
% 5.64/5.87 @ ( lam @ A_27a
% 5.64/5.87 @ ^ [V2x_27: $i] :
% 5.64/5.87 ( lam @ A_27a
% 5.64/5.87 @ ^ [V3y: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ c_2Ebool_2E_7E @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x_27 ) @ V1x ) ) ) @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3y ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ ( ap @ V0G @ V2x_27 ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2EdirGraph_2EREACH__LEM1,axiom,
% 5.64/5.87 ! [A_27a: del,V0p: $i] :
% 5.64/5.87 ( ( mem @ V0p @ A_27a )
% 5.64/5.87 => ! [V1G: $i] :
% 5.64/5.87 ( ( mem @ V1G @ ( arr @ A_27a @ ( ty_2Elist_2Elist @ A_27a ) ) )
% 5.64/5.87 => ! [V2seen: $i] :
% 5.64/5.87 ( ( mem @ V2seen @ ( arr @ A_27a @ bool ) )
% 5.64/5.87 => ( ~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0p ) @ V2seen ) )
% 5.64/5.87 => ( ( ap @ ( ap @ ( c_2EdirGraph_2EREACH @ A_27a ) @ ( ap @ ( ap @ ( c_2EdirGraph_2EEXCLUDE @ A_27a @ A_27a ) @ V1G ) @ V2seen ) ) @ V0p )
% 5.64/5.87 = ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V0p ) @ ( ap @ ( ap @ ( c_2EdirGraph_2EREACH__LIST @ A_27a ) @ ( ap @ ( ap @ ( c_2EdirGraph_2EEXCLUDE @ A_27a @ A_27a ) @ V1G ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V0p ) @ V2seen ) ) ) @ ( ap @ V1G @ V0p ) ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2EdirGraph_2EREACH__LEM2,axiom,
% 5.64/5.87 ! [A_27a: del,V0G: $i] :
% 5.64/5.87 ( ( mem @ V0G @ ( arr @ A_27a @ ( ty_2Elist_2Elist @ A_27a ) ) )
% 5.64/5.87 => ! [V1x: $i] :
% 5.64/5.87 ( ( mem @ V1x @ A_27a )
% 5.64/5.87 => ! [V2y: $i] :
% 5.64/5.87 ( ( mem @ V2y @ A_27a )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2EdirGraph_2EREACH @ A_27a ) @ V0G ) @ V1x ) @ V2y ) )
% 5.64/5.87 => ! [V3z: $i] :
% 5.64/5.87 ( ( mem @ V3z @ A_27a )
% 5.64/5.87 => ( ~ ( p @ ( ap @ ( ap @ ( ap @ ( c_2EdirGraph_2EREACH @ A_27a ) @ V0G ) @ V3z ) @ V2y ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2EdirGraph_2EREACH @ A_27a ) @ ( ap @ ( ap @ ( c_2EdirGraph_2EEXCLUDE @ A_27a @ A_27a ) @ V0G ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V3z ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) ) @ V1x ) @ V2y ) ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 %------------------------------------------------------------------------------
% 5.64/5.87 %------------------------------------------------------------------------------
% 5.64/5.87 thf(tp_ty_2EEncode_2Etree,type,
% 5.64/5.87 ty_2EEncode_2Etree: del > del ).
% 5.64/5.87
% 5.64/5.87 thf(tp_c_2EEncode_2ENode,type,
% 5.64/5.87 c_2EEncode_2ENode: del > $i ).
% 5.64/5.87
% 5.64/5.87 thf(mem_c_2EEncode_2ENode,axiom,
% 5.64/5.87 ! [A_27a: del] : ( mem @ ( c_2EEncode_2ENode @ A_27a ) @ ( arr @ A_27a @ ( arr @ ( ty_2Elist_2Elist @ ( ty_2EEncode_2Etree @ A_27a ) ) @ ( ty_2EEncode_2Etree @ A_27a ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(tp_c_2EEncode_2Ebiprefix,type,
% 5.64/5.87 c_2EEncode_2Ebiprefix: del > $i ).
% 5.64/5.87
% 5.64/5.87 thf(mem_c_2EEncode_2Ebiprefix,axiom,
% 5.64/5.87 ! [A_27a: del] : ( mem @ ( c_2EEncode_2Ebiprefix @ A_27a ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ bool ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(tp_c_2EEncode_2Ecollision__free,type,
% 5.64/5.87 c_2EEncode_2Ecollision__free: $i ).
% 5.64/5.87
% 5.64/5.87 thf(mem_c_2EEncode_2Ecollision__free,axiom,
% 5.64/5.87 mem @ c_2EEncode_2Ecollision__free @ ( arr @ ty_2Enum_2Enum @ ( arr @ ( arr @ ty_2Enum_2Enum @ bool ) @ bool ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(tp_c_2EEncode_2Eencode__blist,type,
% 5.64/5.87 c_2EEncode_2Eencode__blist: del > del > $i ).
% 5.64/5.87
% 5.64/5.87 thf(mem_c_2EEncode_2Eencode__blist,axiom,
% 5.64/5.87 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2EEncode_2Eencode__blist @ A_27a @ A_27b ) @ ( arr @ ty_2Enum_2Enum @ ( arr @ ( arr @ A_27b @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( arr @ ( ty_2Elist_2Elist @ A_27b ) @ ( ty_2Elist_2Elist @ A_27a ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(tp_c_2EEncode_2Eencode__bnum,type,
% 5.64/5.87 c_2EEncode_2Eencode__bnum: $i ).
% 5.64/5.87
% 5.64/5.87 thf(mem_c_2EEncode_2Eencode__bnum,axiom,
% 5.64/5.87 mem @ c_2EEncode_2Eencode__bnum @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(tp_c_2EEncode_2Eencode__bool,type,
% 5.64/5.87 c_2EEncode_2Eencode__bool: $i ).
% 5.64/5.87
% 5.64/5.87 thf(mem_c_2EEncode_2Eencode__bool,axiom,
% 5.64/5.87 mem @ c_2EEncode_2Eencode__bool @ ( arr @ bool @ ( ty_2Elist_2Elist @ bool ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(tp_c_2EEncode_2Eencode__list,type,
% 5.64/5.87 c_2EEncode_2Eencode__list: del > $i ).
% 5.64/5.87
% 5.64/5.87 thf(mem_c_2EEncode_2Eencode__list,axiom,
% 5.64/5.87 ! [A_27a: del] : ( mem @ ( c_2EEncode_2Eencode__list @ A_27a ) @ ( arr @ ( arr @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ bool ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(tp_c_2EEncode_2Eencode__num,type,
% 5.64/5.87 c_2EEncode_2Eencode__num: $i ).
% 5.64/5.87
% 5.64/5.87 thf(mem_c_2EEncode_2Eencode__num,axiom,
% 5.64/5.87 mem @ c_2EEncode_2Eencode__num @ ( arr @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(tp_c_2EEncode_2Eencode__option,type,
% 5.64/5.87 c_2EEncode_2Eencode__option: del > $i ).
% 5.64/5.87
% 5.64/5.87 thf(mem_c_2EEncode_2Eencode__option,axiom,
% 5.64/5.87 ! [A_27a: del] : ( mem @ ( c_2EEncode_2Eencode__option @ A_27a ) @ ( arr @ ( arr @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) @ ( arr @ ( ty_2Eoption_2Eoption @ A_27a ) @ ( ty_2Elist_2Elist @ bool ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(tp_c_2EEncode_2Eencode__prod,type,
% 5.64/5.87 c_2EEncode_2Eencode__prod: del > del > $i ).
% 5.64/5.87
% 5.64/5.87 thf(mem_c_2EEncode_2Eencode__prod,axiom,
% 5.64/5.87 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2EEncode_2Eencode__prod @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) @ ( arr @ ( arr @ A_27b @ ( ty_2Elist_2Elist @ bool ) ) @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ ( ty_2Elist_2Elist @ bool ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(tp_c_2EEncode_2Eencode__sum,type,
% 5.64/5.87 c_2EEncode_2Eencode__sum: del > del > $i ).
% 5.64/5.87
% 5.64/5.87 thf(mem_c_2EEncode_2Eencode__sum,axiom,
% 5.64/5.87 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2EEncode_2Eencode__sum @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) @ ( arr @ ( arr @ A_27b @ ( ty_2Elist_2Elist @ bool ) ) @ ( arr @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) @ ( ty_2Elist_2Elist @ bool ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(tp_c_2EEncode_2Eencode__tree,type,
% 5.64/5.87 c_2EEncode_2Eencode__tree: del > $i ).
% 5.64/5.87
% 5.64/5.87 thf(mem_c_2EEncode_2Eencode__tree,axiom,
% 5.64/5.87 ! [A_27a: del] : ( mem @ ( c_2EEncode_2Eencode__tree @ A_27a ) @ ( arr @ ( arr @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) @ ( arr @ ( ty_2EEncode_2Etree @ A_27a ) @ ( ty_2Elist_2Elist @ bool ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(tp_c_2EEncode_2Eencode__unit,type,
% 5.64/5.87 c_2EEncode_2Eencode__unit: $i ).
% 5.64/5.87
% 5.64/5.87 thf(mem_c_2EEncode_2Eencode__unit,axiom,
% 5.64/5.87 mem @ c_2EEncode_2Eencode__unit @ ( arr @ ty_2Eone_2Eone @ ( ty_2Elist_2Elist @ bool ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(tp_c_2EEncode_2Elift__blist,type,
% 5.64/5.87 c_2EEncode_2Elift__blist: del > $i ).
% 5.64/5.87
% 5.64/5.87 thf(mem_c_2EEncode_2Elift__blist,axiom,
% 5.64/5.87 ! [A_27a: del] : ( mem @ ( c_2EEncode_2Elift__blist @ A_27a ) @ ( arr @ ty_2Enum_2Enum @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ bool ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(tp_c_2EEncode_2Elift__option,type,
% 5.64/5.87 c_2EEncode_2Elift__option: del > $i ).
% 5.64/5.87
% 5.64/5.87 thf(mem_c_2EEncode_2Elift__option,axiom,
% 5.64/5.87 ! [A_27a: del] : ( mem @ ( c_2EEncode_2Elift__option @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( ty_2Eoption_2Eoption @ A_27a ) @ bool ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(tp_c_2EEncode_2Elift__prod,type,
% 5.64/5.87 c_2EEncode_2Elift__prod: del > del > $i ).
% 5.64/5.87
% 5.64/5.87 thf(mem_c_2EEncode_2Elift__prod,axiom,
% 5.64/5.87 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2EEncode_2Elift__prod @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( arr @ A_27b @ bool ) @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ bool ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(tp_c_2EEncode_2Elift__sum,type,
% 5.64/5.87 c_2EEncode_2Elift__sum: del > del > $i ).
% 5.64/5.87
% 5.64/5.87 thf(mem_c_2EEncode_2Elift__sum,axiom,
% 5.64/5.87 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2EEncode_2Elift__sum @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( arr @ A_27b @ bool ) @ ( arr @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) @ bool ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(tp_c_2EEncode_2Elift__tree,type,
% 5.64/5.87 c_2EEncode_2Elift__tree: del > $i ).
% 5.64/5.87
% 5.64/5.87 thf(mem_c_2EEncode_2Elift__tree,axiom,
% 5.64/5.87 ! [A_27a: del] : ( mem @ ( c_2EEncode_2Elift__tree @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( ty_2EEncode_2Etree @ A_27a ) @ bool ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(tp_c_2EEncode_2Etree1__size,type,
% 5.64/5.87 c_2EEncode_2Etree1__size: del > $i ).
% 5.64/5.87
% 5.64/5.87 thf(mem_c_2EEncode_2Etree1__size,axiom,
% 5.64/5.87 ! [A_27a: del] : ( mem @ ( c_2EEncode_2Etree1__size @ A_27a ) @ ( arr @ ( arr @ A_27a @ ty_2Enum_2Enum ) @ ( arr @ ( ty_2Elist_2Elist @ ( ty_2EEncode_2Etree @ A_27a ) ) @ ty_2Enum_2Enum ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(tp_c_2EEncode_2Etree__CASE,type,
% 5.64/5.87 c_2EEncode_2Etree__CASE: del > del > $i ).
% 5.64/5.87
% 5.64/5.87 thf(mem_c_2EEncode_2Etree__CASE,axiom,
% 5.64/5.87 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2EEncode_2Etree__CASE @ A_27a @ A_27b ) @ ( arr @ ( ty_2EEncode_2Etree @ A_27a ) @ ( arr @ ( arr @ A_27a @ ( arr @ ( ty_2Elist_2Elist @ ( ty_2EEncode_2Etree @ A_27a ) ) @ A_27b ) ) @ A_27b ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(tp_c_2EEncode_2Etree__size,type,
% 5.64/5.87 c_2EEncode_2Etree__size: del > $i ).
% 5.64/5.87
% 5.64/5.87 thf(mem_c_2EEncode_2Etree__size,axiom,
% 5.64/5.87 ! [A_27a: del] : ( mem @ ( c_2EEncode_2Etree__size @ A_27a ) @ ( arr @ ( arr @ A_27a @ ty_2Enum_2Enum ) @ ( arr @ ( ty_2EEncode_2Etree @ A_27a ) @ ty_2Enum_2Enum ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(tp_c_2EEncode_2Ewf__encoder,type,
% 5.64/5.87 c_2EEncode_2Ewf__encoder: del > $i ).
% 5.64/5.87
% 5.64/5.87 thf(mem_c_2EEncode_2Ewf__encoder,axiom,
% 5.64/5.87 ! [A_27a: del] : ( mem @ ( c_2EEncode_2Ewf__encoder @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( arr @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) @ bool ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(tp_c_2EEncode_2Ewf__pred,type,
% 5.64/5.87 c_2EEncode_2Ewf__pred: del > $i ).
% 5.64/5.87
% 5.64/5.87 thf(mem_c_2EEncode_2Ewf__pred,axiom,
% 5.64/5.87 ! [A_27a: del] : ( mem @ ( c_2EEncode_2Ewf__pred @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(tp_c_2EEncode_2Ewf__pred__bnum,type,
% 5.64/5.87 c_2EEncode_2Ewf__pred__bnum: $i ).
% 5.64/5.87
% 5.64/5.87 thf(mem_c_2EEncode_2Ewf__pred__bnum,axiom,
% 5.64/5.87 mem @ c_2EEncode_2Ewf__pred__bnum @ ( arr @ ty_2Enum_2Enum @ ( arr @ ( arr @ ty_2Enum_2Enum @ bool ) @ bool ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(ax_thm_2EEncode_2Ebiprefix__def,axiom,
% 5.64/5.87 ! [A_27a: del,V0a: $i] :
% 5.64/5.87 ( ( mem @ V0a @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.87 => ! [V1b: $i] :
% 5.64/5.87 ( ( mem @ V1b @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2EEncode_2Ebiprefix @ A_27a ) @ V0a ) @ V1b ) )
% 5.64/5.87 <=> ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EisPREFIX @ A_27a ) @ V1b ) @ V0a ) )
% 5.64/5.87 | ( p @ ( ap @ ( ap @ ( c_2Elist_2EisPREFIX @ A_27a ) @ V0a ) @ V1b ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2EEncode_2Ebiprefix__refl,axiom,
% 5.64/5.87 ! [A_27a: del,V0x: $i] :
% 5.64/5.87 ( ( mem @ V0x @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ ( c_2EEncode_2Ebiprefix @ A_27a ) @ V0x ) @ V0x ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2EEncode_2Ebiprefix__sym,axiom,
% 5.64/5.87 ! [A_27a: del,V0x: $i] :
% 5.64/5.87 ( ( mem @ V0x @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.87 => ! [V1y: $i] :
% 5.64/5.87 ( ( mem @ V1y @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2EEncode_2Ebiprefix @ A_27a ) @ V0x ) @ V1y ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ ( c_2EEncode_2Ebiprefix @ A_27a ) @ V1y ) @ V0x ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2EEncode_2Ebiprefix__append,axiom,
% 5.64/5.87 ! [A_27a: del,V0a: $i] :
% 5.64/5.87 ( ( mem @ V0a @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.87 => ! [V1b: $i] :
% 5.64/5.87 ( ( mem @ V1b @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.87 => ! [V2c: $i] :
% 5.64/5.87 ( ( mem @ V2c @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.87 => ! [V3d: $i] :
% 5.64/5.87 ( ( mem @ V3d @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2EEncode_2Ebiprefix @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V0a ) @ V1b ) ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V2c ) @ V3d ) ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ ( c_2EEncode_2Ebiprefix @ A_27a ) @ V0a ) @ V2c ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2EEncode_2Ebiprefix__cons,axiom,
% 5.64/5.87 ! [A_27a: del,V0a: $i] :
% 5.64/5.87 ( ( mem @ V0a @ A_27a )
% 5.64/5.87 => ! [V1b: $i] :
% 5.64/5.87 ( ( mem @ V1b @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.87 => ! [V2c: $i] :
% 5.64/5.87 ( ( mem @ V2c @ A_27a )
% 5.64/5.87 => ! [V3d: $i] :
% 5.64/5.87 ( ( mem @ V3d @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2EEncode_2Ebiprefix @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V0a ) @ V1b ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2c ) @ V3d ) ) )
% 5.64/5.87 <=> ( ( V0a = V2c )
% 5.64/5.87 & ( p @ ( ap @ ( ap @ ( c_2EEncode_2Ebiprefix @ A_27a ) @ V1b ) @ V3d ) ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2EEncode_2Ebiprefix__appends,axiom,
% 5.64/5.87 ! [A_27a: del,V0a: $i] :
% 5.64/5.87 ( ( mem @ V0a @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.87 => ! [V1b: $i] :
% 5.64/5.87 ( ( mem @ V1b @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.87 => ! [V2c: $i] :
% 5.64/5.87 ( ( mem @ V2c @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2EEncode_2Ebiprefix @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V0a ) @ V1b ) ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V0a ) @ V2c ) ) )
% 5.64/5.87 <=> ( p @ ( ap @ ( ap @ ( c_2EEncode_2Ebiprefix @ A_27a ) @ V1b ) @ V2c ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(ax_thm_2EEncode_2Ewf__pred__def,axiom,
% 5.64/5.87 ! [A_27a: del,V0p: $i] :
% 5.64/5.87 ( ( mem @ V0p @ ( arr @ A_27a @ bool ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( c_2EEncode_2Ewf__pred @ A_27a ) @ V0p ) )
% 5.64/5.87 <=> ? [V1x: $i] :
% 5.64/5.87 ( ( mem @ V1x @ A_27a )
% 5.64/5.87 & ( p @ ( ap @ V0p @ V1x ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(ax_thm_2EEncode_2Ewf__encoder__def,axiom,
% 5.64/5.87 ! [A_27a: del,V0p: $i] :
% 5.64/5.87 ( ( mem @ V0p @ ( arr @ A_27a @ bool ) )
% 5.64/5.87 => ! [V1e: $i] :
% 5.64/5.87 ( ( mem @ V1e @ ( arr @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2EEncode_2Ewf__encoder @ A_27a ) @ V0p ) @ V1e ) )
% 5.64/5.87 <=> ! [V2x: $i] :
% 5.64/5.87 ( ( mem @ V2x @ A_27a )
% 5.64/5.87 => ! [V3y: $i] :
% 5.64/5.87 ( ( mem @ V3y @ A_27a )
% 5.64/5.87 => ( ( ( p @ ( ap @ V0p @ V2x ) )
% 5.64/5.87 & ( p @ ( ap @ V0p @ V3y ) )
% 5.64/5.87 & ( p @ ( ap @ ( ap @ ( c_2Elist_2EisPREFIX @ bool ) @ ( ap @ V1e @ V3y ) ) @ ( ap @ V1e @ V2x ) ) ) )
% 5.64/5.87 => ( V2x = V3y ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2EEncode_2Ewf__encoder__alt,axiom,
% 5.64/5.87 ! [A_27a: del,V0p: $i] :
% 5.64/5.87 ( ( mem @ V0p @ ( arr @ A_27a @ bool ) )
% 5.64/5.87 => ! [V1e: $i] :
% 5.64/5.87 ( ( mem @ V1e @ ( arr @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2EEncode_2Ewf__encoder @ A_27a ) @ V0p ) @ V1e ) )
% 5.64/5.87 <=> ! [V2x: $i] :
% 5.64/5.87 ( ( mem @ V2x @ A_27a )
% 5.64/5.87 => ! [V3y: $i] :
% 5.64/5.87 ( ( mem @ V3y @ A_27a )
% 5.64/5.87 => ( ( ( p @ ( ap @ V0p @ V2x ) )
% 5.64/5.87 & ( p @ ( ap @ V0p @ V3y ) )
% 5.64/5.87 & ( p @ ( ap @ ( ap @ ( c_2EEncode_2Ebiprefix @ bool ) @ ( ap @ V1e @ V2x ) ) @ ( ap @ V1e @ V3y ) ) ) )
% 5.64/5.87 => ( V2x = V3y ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2EEncode_2Ewf__encoder__eq,axiom,
% 5.64/5.87 ! [A_27a: del,V0p: $i] :
% 5.64/5.87 ( ( mem @ V0p @ ( arr @ A_27a @ bool ) )
% 5.64/5.87 => ! [V1e: $i] :
% 5.64/5.87 ( ( mem @ V1e @ ( arr @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) )
% 5.64/5.87 => ! [V2f: $i] :
% 5.64/5.87 ( ( mem @ V2f @ ( arr @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) )
% 5.64/5.87 => ( ( ( p @ ( ap @ ( ap @ ( c_2EEncode_2Ewf__encoder @ A_27a ) @ V0p ) @ V1e ) )
% 5.64/5.87 & ! [V3x: $i] :
% 5.64/5.87 ( ( mem @ V3x @ A_27a )
% 5.64/5.87 => ( ( p @ ( ap @ V0p @ V3x ) )
% 5.64/5.87 => ( ( surj__c_ty_2Elist_2Elist_o @ ( ap @ V1e @ V3x ) )
% 5.64/5.87 = ( surj__c_ty_2Elist_2Elist_o @ ( ap @ V2f @ V3x ) ) ) ) ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ ( c_2EEncode_2Ewf__encoder @ A_27a ) @ V0p ) @ V2f ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2EEncode_2Ewf__encoder__total,axiom,
% 5.64/5.87 ! [A_27a: del,V0p: $i] :
% 5.64/5.87 ( ( mem @ V0p @ ( arr @ A_27a @ bool ) )
% 5.64/5.87 => ! [V1e: $i] :
% 5.64/5.87 ( ( mem @ V1e @ ( arr @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2EEncode_2Ewf__encoder @ A_27a ) @ ( ap @ ( c_2Ecombin_2EK @ bool @ A_27a ) @ c_2Ebool_2ET ) ) @ V1e ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ ( c_2EEncode_2Ewf__encoder @ A_27a ) @ V0p ) @ V1e ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(ax_thm_2EEncode_2Eencode__unit__def,axiom,
% 5.64/5.87 ! [V0v0: tp__ty_2Eone_2Eone] :
% 5.64/5.87 ( ( surj__c_ty_2Elist_2Elist_o @ ( ap @ c_2EEncode_2Eencode__unit @ ( inj__ty_2Eone_2Eone @ V0v0 ) ) )
% 5.64/5.87 = ( surj__c_ty_2Elist_2Elist_o @ ( c_2Elist_2ENIL @ bool ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2EEncode_2Ewf__encode__unit,axiom,
% 5.64/5.87 ! [V0p: $i] :
% 5.64/5.87 ( ( mem @ V0p @ ( arr @ ty_2Eone_2Eone @ bool ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ ( c_2EEncode_2Ewf__encoder @ ty_2Eone_2Eone ) @ V0p ) @ c_2EEncode_2Eencode__unit ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(ax_thm_2EEncode_2Eencode__bool__def,axiom,
% 5.64/5.87 ! [V0x: $i] :
% 5.64/5.87 ( ( mem @ V0x @ bool )
% 5.64/5.87 => ( ( surj__c_ty_2Elist_2Elist_o @ ( ap @ c_2EEncode_2Eencode__bool @ V0x ) )
% 5.64/5.87 = ( surj__c_ty_2Elist_2Elist_o @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ bool ) @ V0x ) @ ( c_2Elist_2ENIL @ bool ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2EEncode_2Ewf__encode__bool,axiom,
% 5.64/5.87 ! [V0p: $i] :
% 5.64/5.87 ( ( mem @ V0p @ ( arr @ bool @ bool ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ ( c_2EEncode_2Ewf__encoder @ bool ) @ V0p ) @ c_2EEncode_2Eencode__bool ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(ax_thm_2EEncode_2Eencode__prod__def,axiom,
% 5.64/5.87 ! [A_27a: del,A_27b: del,V0xb: $i] :
% 5.64/5.87 ( ( mem @ V0xb @ ( arr @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) )
% 5.64/5.87 => ! [V1yb: $i] :
% 5.64/5.87 ( ( mem @ V1yb @ ( arr @ A_27b @ ( ty_2Elist_2Elist @ bool ) ) )
% 5.64/5.87 => ! [V2x: $i] :
% 5.64/5.87 ( ( mem @ V2x @ A_27a )
% 5.64/5.87 => ! [V3y: $i] :
% 5.64/5.87 ( ( mem @ V3y @ A_27b )
% 5.64/5.87 => ( ( surj__c_ty_2Elist_2Elist_o @ ( ap @ ( ap @ ( ap @ ( c_2EEncode_2Eencode__prod @ A_27a @ A_27b ) @ V0xb ) @ V1yb ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V2x ) @ V3y ) ) )
% 5.64/5.87 = ( surj__c_ty_2Elist_2Elist_o @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ bool ) @ ( ap @ V0xb @ V2x ) ) @ ( ap @ V1yb @ V3y ) ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(ax_thm_2EEncode_2Elift__prod__def,axiom,
% 5.64/5.87 ! [A_27a: del,A_27b: del,V0p1: $i] :
% 5.64/5.87 ( ( mem @ V0p1 @ ( arr @ A_27a @ bool ) )
% 5.64/5.87 => ! [V1p2: $i] :
% 5.64/5.87 ( ( mem @ V1p2 @ ( arr @ A_27b @ bool ) )
% 5.64/5.87 => ! [V2x: $i] :
% 5.64/5.87 ( ( mem @ V2x @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2EEncode_2Elift__prod @ A_27a @ A_27b ) @ V0p1 ) @ V1p2 ) @ V2x ) )
% 5.64/5.87 <=> ( ( p @ ( ap @ V0p1 @ ( ap @ ( c_2Epair_2EFST @ A_27a @ A_27b ) @ V2x ) ) )
% 5.64/5.87 & ( p @ ( ap @ V1p2 @ ( ap @ ( c_2Epair_2ESND @ A_27a @ A_27b ) @ V2x ) ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2EEncode_2Eencode__prod__alt,axiom,
% 5.64/5.87 ! [A_27a: del,A_27b: del,V0xb: $i] :
% 5.64/5.87 ( ( mem @ V0xb @ ( arr @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) )
% 5.64/5.87 => ! [V1yb: $i] :
% 5.64/5.87 ( ( mem @ V1yb @ ( arr @ A_27b @ ( ty_2Elist_2Elist @ bool ) ) )
% 5.64/5.87 => ! [V2p: $i] :
% 5.64/5.87 ( ( mem @ V2p @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) )
% 5.64/5.87 => ( ( surj__c_ty_2Elist_2Elist_o @ ( ap @ ( ap @ ( ap @ ( c_2EEncode_2Eencode__prod @ A_27a @ A_27b ) @ V0xb ) @ V1yb ) @ V2p ) )
% 5.64/5.87 = ( surj__c_ty_2Elist_2Elist_o @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ bool ) @ ( ap @ V0xb @ ( ap @ ( c_2Epair_2EFST @ A_27a @ A_27b ) @ V2p ) ) ) @ ( ap @ V1yb @ ( ap @ ( c_2Epair_2ESND @ A_27a @ A_27b ) @ V2p ) ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2EEncode_2Ewf__encode__prod,axiom,
% 5.64/5.87 ! [A_27a: del,A_27b: del,V0p1: $i] :
% 5.64/5.87 ( ( mem @ V0p1 @ ( arr @ A_27a @ bool ) )
% 5.64/5.87 => ! [V1p2: $i] :
% 5.64/5.87 ( ( mem @ V1p2 @ ( arr @ A_27b @ bool ) )
% 5.64/5.87 => ! [V2e1: $i] :
% 5.64/5.87 ( ( mem @ V2e1 @ ( arr @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) )
% 5.64/5.87 => ! [V3e2: $i] :
% 5.64/5.87 ( ( mem @ V3e2 @ ( arr @ A_27b @ ( ty_2Elist_2Elist @ bool ) ) )
% 5.64/5.87 => ( ( ( p @ ( ap @ ( ap @ ( c_2EEncode_2Ewf__encoder @ A_27a ) @ V0p1 ) @ V2e1 ) )
% 5.64/5.87 & ( p @ ( ap @ ( ap @ ( c_2EEncode_2Ewf__encoder @ A_27b ) @ V1p2 ) @ V3e2 ) ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ ( c_2EEncode_2Ewf__encoder @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( ap @ ( ap @ ( c_2EEncode_2Elift__prod @ A_27a @ A_27b ) @ V0p1 ) @ V1p2 ) ) @ ( ap @ ( ap @ ( c_2EEncode_2Eencode__prod @ A_27a @ A_27b ) @ V2e1 ) @ V3e2 ) ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(ax_thm_2EEncode_2Eencode__sum__def,axiom,
% 5.64/5.87 ! [A_27a: del,A_27b: del] :
% 5.64/5.87 ( ! [V0xb: $i] :
% 5.64/5.87 ( ( mem @ V0xb @ ( arr @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) )
% 5.64/5.87 => ! [V1yb: $i] :
% 5.64/5.87 ( ( mem @ V1yb @ ( arr @ A_27b @ ( ty_2Elist_2Elist @ bool ) ) )
% 5.64/5.87 => ! [V2x: $i] :
% 5.64/5.87 ( ( mem @ V2x @ A_27a )
% 5.64/5.87 => ( ( surj__c_ty_2Elist_2Elist_o @ ( ap @ ( ap @ ( ap @ ( c_2EEncode_2Eencode__sum @ A_27a @ A_27b ) @ V0xb ) @ V1yb ) @ ( ap @ ( c_2Esum_2EINL @ A_27a @ A_27b ) @ V2x ) ) )
% 5.64/5.87 = ( surj__c_ty_2Elist_2Elist_o @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ bool ) @ c_2Ebool_2ET ) @ ( ap @ V0xb @ V2x ) ) ) ) ) ) )
% 5.64/5.87 & ! [V3xb: $i] :
% 5.64/5.87 ( ( mem @ V3xb @ ( arr @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) )
% 5.64/5.87 => ! [V4yb: $i] :
% 5.64/5.87 ( ( mem @ V4yb @ ( arr @ A_27b @ ( ty_2Elist_2Elist @ bool ) ) )
% 5.64/5.87 => ! [V5y: $i] :
% 5.64/5.87 ( ( mem @ V5y @ A_27b )
% 5.64/5.87 => ( ( surj__c_ty_2Elist_2Elist_o @ ( ap @ ( ap @ ( ap @ ( c_2EEncode_2Eencode__sum @ A_27a @ A_27b ) @ V3xb ) @ V4yb ) @ ( ap @ ( c_2Esum_2EINR @ A_27a @ A_27b ) @ V5y ) ) )
% 5.64/5.87 = ( surj__c_ty_2Elist_2Elist_o @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ bool ) @ c_2Ebool_2EF ) @ ( ap @ V4yb @ V5y ) ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(ax_thm_2EEncode_2Elift__sum__def,axiom,
% 5.64/5.87 ! [A_27a: del,A_27b: del,V0p1: $i] :
% 5.64/5.87 ( ( mem @ V0p1 @ ( arr @ A_27a @ bool ) )
% 5.64/5.87 => ! [V1p2: $i] :
% 5.64/5.87 ( ( mem @ V1p2 @ ( arr @ A_27b @ bool ) )
% 5.64/5.87 => ! [V2x: $i] :
% 5.64/5.87 ( ( mem @ V2x @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2EEncode_2Elift__sum @ A_27a @ A_27b ) @ V0p1 ) @ V1p2 ) @ V2x ) )
% 5.64/5.87 <=> ( p
% 5.64/5.87 @ ( ap
% 5.64/5.87 @ ( ap @ ( ap @ ( c_2Esum_2Esum__CASE @ A_27a @ A_27b @ bool ) @ V2x )
% 5.64/5.87 @ ( lam @ A_27a
% 5.64/5.87 @ ^ [V3x1: $i] : ( ap @ V0p1 @ V3x1 ) ) )
% 5.64/5.87 @ ( lam @ A_27b
% 5.64/5.87 @ ^ [V4x2: $i] : ( ap @ V1p2 @ V4x2 ) ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2EEncode_2Ewf__encode__sum,axiom,
% 5.64/5.87 ! [A_27a: del,A_27b: del,V0p1: $i] :
% 5.64/5.87 ( ( mem @ V0p1 @ ( arr @ A_27a @ bool ) )
% 5.64/5.87 => ! [V1p2: $i] :
% 5.64/5.87 ( ( mem @ V1p2 @ ( arr @ A_27b @ bool ) )
% 5.64/5.87 => ! [V2e1: $i] :
% 5.64/5.87 ( ( mem @ V2e1 @ ( arr @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) )
% 5.64/5.87 => ! [V3e2: $i] :
% 5.64/5.87 ( ( mem @ V3e2 @ ( arr @ A_27b @ ( ty_2Elist_2Elist @ bool ) ) )
% 5.64/5.87 => ( ( ( p @ ( ap @ ( ap @ ( c_2EEncode_2Ewf__encoder @ A_27a ) @ V0p1 ) @ V2e1 ) )
% 5.64/5.87 & ( p @ ( ap @ ( ap @ ( c_2EEncode_2Ewf__encoder @ A_27b ) @ V1p2 ) @ V3e2 ) ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ ( c_2EEncode_2Ewf__encoder @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) ) @ ( ap @ ( ap @ ( c_2EEncode_2Elift__sum @ A_27a @ A_27b ) @ V0p1 ) @ V1p2 ) ) @ ( ap @ ( ap @ ( c_2EEncode_2Eencode__sum @ A_27a @ A_27b ) @ V2e1 ) @ V3e2 ) ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(ax_thm_2EEncode_2Eencode__option__def,axiom,
% 5.64/5.87 ! [A_27a: del] :
% 5.64/5.87 ( ! [V0xb: $i] :
% 5.64/5.87 ( ( mem @ V0xb @ ( arr @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) )
% 5.64/5.87 => ( ( surj__c_ty_2Elist_2Elist_o @ ( ap @ ( ap @ ( c_2EEncode_2Eencode__option @ A_27a ) @ V0xb ) @ ( c_2Eoption_2ENONE @ A_27a ) ) )
% 5.64/5.87 = ( surj__c_ty_2Elist_2Elist_o @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ bool ) @ c_2Ebool_2EF ) @ ( c_2Elist_2ENIL @ bool ) ) ) ) )
% 5.64/5.87 & ! [V1xb: $i] :
% 5.64/5.87 ( ( mem @ V1xb @ ( arr @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) )
% 5.64/5.87 => ! [V2x: $i] :
% 5.64/5.87 ( ( mem @ V2x @ A_27a )
% 5.64/5.87 => ( ( surj__c_ty_2Elist_2Elist_o @ ( ap @ ( ap @ ( c_2EEncode_2Eencode__option @ A_27a ) @ V1xb ) @ ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V2x ) ) )
% 5.64/5.87 = ( surj__c_ty_2Elist_2Elist_o @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ bool ) @ c_2Ebool_2ET ) @ ( ap @ V1xb @ V2x ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(ax_thm_2EEncode_2Elift__option__def,axiom,
% 5.64/5.87 ! [A_27a: del,V0p: $i] :
% 5.64/5.87 ( ( mem @ V0p @ ( arr @ A_27a @ bool ) )
% 5.64/5.87 => ! [V1x: $i] :
% 5.64/5.87 ( ( mem @ V1x @ ( ty_2Eoption_2Eoption @ A_27a ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2EEncode_2Elift__option @ A_27a ) @ V0p ) @ V1x ) )
% 5.64/5.87 <=> ( p
% 5.64/5.87 @ ( ap @ ( ap @ ( ap @ ( c_2Eoption_2Eoption__CASE @ A_27a @ bool ) @ V1x ) @ c_2Ebool_2ET )
% 5.64/5.87 @ ( lam @ A_27a
% 5.64/5.87 @ ^ [V2y: $i] : ( ap @ V0p @ V2y ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2EEncode_2Ewf__encode__option,axiom,
% 5.64/5.87 ! [A_27a: del,V0p: $i] :
% 5.64/5.87 ( ( mem @ V0p @ ( arr @ A_27a @ bool ) )
% 5.64/5.87 => ! [V1e: $i] :
% 5.64/5.87 ( ( mem @ V1e @ ( arr @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2EEncode_2Ewf__encoder @ A_27a ) @ V0p ) @ V1e ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ ( c_2EEncode_2Ewf__encoder @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ ( ap @ ( c_2EEncode_2Elift__option @ A_27a ) @ V0p ) ) @ ( ap @ ( c_2EEncode_2Eencode__option @ A_27a ) @ V1e ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(ax_thm_2EEncode_2Eencode__list__def,axiom,
% 5.64/5.87 ! [A_27a: del] :
% 5.64/5.87 ( ! [V0xb: $i] :
% 5.64/5.87 ( ( mem @ V0xb @ ( arr @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) )
% 5.64/5.87 => ( ( surj__c_ty_2Elist_2Elist_o @ ( ap @ ( ap @ ( c_2EEncode_2Eencode__list @ A_27a ) @ V0xb ) @ ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.64/5.87 = ( surj__c_ty_2Elist_2Elist_o @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ bool ) @ c_2Ebool_2EF ) @ ( c_2Elist_2ENIL @ bool ) ) ) ) )
% 5.64/5.87 & ! [V1xb: $i] :
% 5.64/5.87 ( ( mem @ V1xb @ ( arr @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) )
% 5.64/5.87 => ! [V2x: $i] :
% 5.64/5.87 ( ( mem @ V2x @ A_27a )
% 5.64/5.87 => ! [V3xs: $i] :
% 5.64/5.87 ( ( mem @ V3xs @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.87 => ( ( surj__c_ty_2Elist_2Elist_o @ ( ap @ ( ap @ ( c_2EEncode_2Eencode__list @ A_27a ) @ V1xb ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2x ) @ V3xs ) ) )
% 5.64/5.87 = ( surj__c_ty_2Elist_2Elist_o @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ bool ) @ c_2Ebool_2ET ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ bool ) @ ( ap @ V1xb @ V2x ) ) @ ( ap @ ( ap @ ( c_2EEncode_2Eencode__list @ A_27a ) @ V1xb ) @ V3xs ) ) ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2EEncode_2Ewf__encode__list,axiom,
% 5.64/5.87 ! [A_27a: del,V0p: $i] :
% 5.64/5.87 ( ( mem @ V0p @ ( arr @ A_27a @ bool ) )
% 5.64/5.87 => ! [V1e: $i] :
% 5.64/5.87 ( ( mem @ V1e @ ( arr @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2EEncode_2Ewf__encoder @ A_27a ) @ V0p ) @ V1e ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ ( c_2EEncode_2Ewf__encoder @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ap @ ( c_2Elist_2EEVERY @ A_27a ) @ V0p ) ) @ ( ap @ ( c_2EEncode_2Eencode__list @ A_27a ) @ V1e ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2EEncode_2Eencode__list__cong,axiom,
% 5.64/5.87 ! [A_27a: del,V0l1: $i] :
% 5.64/5.87 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.87 => ! [V1l2: $i] :
% 5.64/5.87 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.87 => ! [V2f1: $i] :
% 5.64/5.87 ( ( mem @ V2f1 @ ( arr @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) )
% 5.64/5.87 => ! [V3f2: $i] :
% 5.64/5.87 ( ( mem @ V3f2 @ ( arr @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) )
% 5.64/5.87 => ( ( ( V0l1 = V1l2 )
% 5.64/5.87 & ! [V4x: $i] :
% 5.64/5.87 ( ( mem @ V4x @ A_27a )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V4x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V1l2 ) ) )
% 5.64/5.87 => ( ( surj__c_ty_2Elist_2Elist_o @ ( ap @ V2f1 @ V4x ) )
% 5.64/5.87 = ( surj__c_ty_2Elist_2Elist_o @ ( ap @ V3f2 @ V4x ) ) ) ) ) )
% 5.64/5.87 => ( ( surj__c_ty_2Elist_2Elist_o @ ( ap @ ( ap @ ( c_2EEncode_2Eencode__list @ A_27a ) @ V2f1 ) @ V0l1 ) )
% 5.64/5.87 = ( surj__c_ty_2Elist_2Elist_o @ ( ap @ ( ap @ ( c_2EEncode_2Eencode__list @ A_27a ) @ V3f2 ) @ V1l2 ) ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(ax_thm_2EEncode_2Eencode__blist__def,axiom,
% 5.64/5.87 ! [A_27a: del,A_27b: del] :
% 5.64/5.87 ( ! [V0e: $i] :
% 5.64/5.87 ( ( mem @ V0e @ ( arr @ A_27b @ ( ty_2Elist_2Elist @ A_27a ) ) )
% 5.64/5.87 => ! [V1l: $i] :
% 5.64/5.87 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.64/5.87 => ( ( ap @ ( ap @ ( ap @ ( c_2EEncode_2Eencode__blist @ A_27a @ A_27b ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ V0e ) @ V1l )
% 5.64/5.87 = ( c_2Elist_2ENIL @ A_27a ) ) ) )
% 5.64/5.87 & ! [V2m: tp__ty_2Enum_2Enum,V3e: $i] :
% 5.64/5.87 ( ( mem @ V3e @ ( arr @ A_27b @ ( ty_2Elist_2Elist @ A_27a ) ) )
% 5.64/5.87 => ! [V4l: $i] :
% 5.64/5.87 ( ( mem @ V4l @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.64/5.87 => ( ( ap @ ( ap @ ( ap @ ( c_2EEncode_2Eencode__blist @ A_27a @ A_27b ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V2m ) ) ) @ V3e ) @ V4l )
% 5.64/5.87 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ ( ap @ V3e @ ( ap @ ( c_2Elist_2EHD @ A_27b ) @ V4l ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2EEncode_2Eencode__blist @ A_27a @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V2m ) ) @ V3e ) @ ( ap @ ( c_2Elist_2ETL @ A_27b ) @ V4l ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2EEncode_2Eencode__blist__def__compute,axiom,
% 5.64/5.87 ! [A_27a: del,A_27b: del] :
% 5.64/5.87 ( ! [V0e: $i] :
% 5.64/5.87 ( ( mem @ V0e @ ( arr @ A_27b @ ( ty_2Elist_2Elist @ A_27a ) ) )
% 5.64/5.87 => ! [V1l: $i] :
% 5.64/5.87 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.64/5.87 => ( ( ap @ ( ap @ ( ap @ ( c_2EEncode_2Eencode__blist @ A_27a @ A_27b ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ V0e ) @ V1l )
% 5.64/5.87 = ( c_2Elist_2ENIL @ A_27a ) ) ) )
% 5.64/5.87 & ! [V2m: tp__ty_2Enum_2Enum,V3e: $i] :
% 5.64/5.87 ( ( mem @ V3e @ ( arr @ A_27b @ ( ty_2Elist_2Elist @ A_27a ) ) )
% 5.64/5.87 => ! [V4l: $i] :
% 5.64/5.87 ( ( mem @ V4l @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.64/5.87 => ( ( ap @ ( ap @ ( ap @ ( c_2EEncode_2Eencode__blist @ A_27a @ A_27b ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V2m ) ) ) ) @ V3e ) @ V4l )
% 5.64/5.87 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ ( ap @ V3e @ ( ap @ ( c_2Elist_2EHD @ A_27b ) @ V4l ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2EEncode_2Eencode__blist @ A_27a @ A_27b ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V2m ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ V3e ) @ ( ap @ ( c_2Elist_2ETL @ A_27b ) @ V4l ) ) ) ) ) )
% 5.64/5.87 & ! [V5m: tp__ty_2Enum_2Enum,V6e: $i] :
% 5.64/5.87 ( ( mem @ V6e @ ( arr @ A_27b @ ( ty_2Elist_2Elist @ A_27a ) ) )
% 5.64/5.87 => ! [V7l: $i] :
% 5.64/5.87 ( ( mem @ V7l @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.64/5.87 => ( ( ap @ ( ap @ ( ap @ ( c_2EEncode_2Eencode__blist @ A_27a @ A_27b ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V5m ) ) ) ) @ V6e ) @ V7l )
% 5.64/5.87 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ ( ap @ V6e @ ( ap @ ( c_2Elist_2EHD @ A_27b ) @ V7l ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2EEncode_2Eencode__blist @ A_27a @ A_27b ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V5m ) ) ) ) @ V6e ) @ ( ap @ ( c_2Elist_2ETL @ A_27b ) @ V7l ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(ax_thm_2EEncode_2Elift__blist__def,axiom,
% 5.64/5.87 ! [A_27a: del,V0m: tp__ty_2Enum_2Enum,V1p: $i] :
% 5.64/5.87 ( ( mem @ V1p @ ( arr @ A_27a @ bool ) )
% 5.64/5.87 => ! [V2x: $i] :
% 5.64/5.87 ( ( mem @ V2x @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2EEncode_2Elift__blist @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ V1p ) @ V2x ) )
% 5.64/5.87 <=> ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EEVERY @ A_27a ) @ V1p ) @ V2x ) )
% 5.64/5.87 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2x ) )
% 5.64/5.87 = V0m ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2EEncode_2Elift__blist__suc,axiom,
% 5.64/5.87 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1p: $i] :
% 5.64/5.87 ( ( mem @ V1p @ ( arr @ A_27a @ bool ) )
% 5.64/5.87 => ! [V2h: $i] :
% 5.64/5.87 ( ( mem @ V2h @ A_27a )
% 5.64/5.87 => ! [V3t: $i] :
% 5.64/5.87 ( ( mem @ V3t @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2EEncode_2Elift__blist @ A_27a ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ V1p ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2h ) @ V3t ) ) )
% 5.64/5.87 <=> ( ( p @ ( ap @ V1p @ V2h ) )
% 5.64/5.87 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2EEncode_2Elift__blist @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1p ) @ V3t ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2EEncode_2Ewf__encode__blist,axiom,
% 5.64/5.87 ! [A_27a: del,V0m: tp__ty_2Enum_2Enum,V1p: $i] :
% 5.64/5.87 ( ( mem @ V1p @ ( arr @ A_27a @ bool ) )
% 5.64/5.87 => ! [V2e: $i] :
% 5.64/5.87 ( ( mem @ V2e @ ( arr @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2EEncode_2Ewf__encoder @ A_27a ) @ V1p ) @ V2e ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ ( c_2EEncode_2Ewf__encoder @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ap @ ( ap @ ( c_2EEncode_2Elift__blist @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ V1p ) ) @ ( ap @ ( ap @ ( c_2EEncode_2Eencode__blist @ bool @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ V2e ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(ax_thm_2EEncode_2Eencode__num__primitive__def,axiom,
% 5.64/5.87 ( c_2EEncode_2Eencode__num
% 5.64/5.87 = ( ap
% 5.64/5.87 @ ( ap @ ( c_2Erelation_2EWFREC @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) )
% 5.64/5.87 @ ( ap @ ( c_2Emin_2E_40 @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ bool ) ) )
% 5.64/5.87 @ ( lam @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.87 @ ^ [V0R: $i] :
% 5.64/5.87 ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( c_2Erelation_2EWF @ ty_2Enum_2Enum ) @ V0R ) )
% 5.64/5.87 @ ( ap
% 5.64/5.87 @ ( ap @ c_2Ebool_2E_2F_5C
% 5.64/5.87 @ ( ap @ ( c_2Ebool_2E_21 @ ty_2Enum_2Enum )
% 5.64/5.87 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.87 @ ^ [V1n: $i] : ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ c_2Ebool_2E_7E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ V1n ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ) @ ( ap @ c_2Earithmetic_2EEVEN @ V1n ) ) ) @ ( ap @ ( ap @ V0R @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ V1n ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ V1n ) ) ) ) )
% 5.64/5.87 @ ( ap @ ( c_2Ebool_2E_21 @ ty_2Enum_2Enum )
% 5.64/5.87 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.87 @ ^ [V2n: $i] : ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ c_2Ebool_2E_7E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ V2n ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ c_2Earithmetic_2EEVEN @ V2n ) ) ) ) @ ( ap @ ( ap @ V0R @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ V2n ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ V2n ) ) ) ) ) ) ) ) )
% 5.64/5.87 @ ( lam @ ( arr @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) )
% 5.64/5.87 @ ^ [V3encode__num: $i] :
% 5.64/5.87 ( lam @ ty_2Enum_2Enum
% 5.64/5.87 @ ^ [V4a: $i] : ( ap @ ( c_2Ecombin_2EI @ ( ty_2Elist_2Elist @ bool ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Elist_2Elist @ bool ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ V4a ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ bool ) @ c_2Ebool_2ET ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ bool ) @ c_2Ebool_2ET ) @ ( c_2Elist_2ENIL @ bool ) ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Elist_2Elist @ bool ) ) @ ( ap @ c_2Earithmetic_2EEVEN @ V4a ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ bool ) @ c_2Ebool_2EF ) @ ( ap @ V3encode__num @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ V4a ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ bool ) @ c_2Ebool_2ET ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ bool ) @ c_2Ebool_2EF ) @ ( ap @ V3encode__num @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ V4a ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2EEncode_2Eencode__num__def,axiom,
% 5.64/5.87 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.64/5.87 ( ( surj__c_ty_2Elist_2Elist_o @ ( ap @ c_2EEncode_2Eencode__num @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.64/5.87 = ( surj__c_ty_2Elist_2Elist_o @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Elist_2Elist @ bool ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ bool ) @ c_2Ebool_2ET ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ bool ) @ c_2Ebool_2ET ) @ ( c_2Elist_2ENIL @ bool ) ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Elist_2Elist @ bool ) ) @ ( ap @ c_2Earithmetic_2EEVEN @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ bool ) @ c_2Ebool_2EF ) @ ( ap @ c_2EEncode_2Eencode__num @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ bool ) @ c_2Ebool_2ET ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ bool ) @ c_2Ebool_2EF ) @ ( ap @ c_2EEncode_2Eencode__num @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2EEncode_2Eencode__num__ind,axiom,
% 5.64/5.87 ! [V0P: $i] :
% 5.64/5.87 ( ( mem @ V0P @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.87 => ( ! [V1n: tp__ty_2Enum_2Enum] :
% 5.64/5.87 ( ( ( ( ( V1n != fo__c_2Enum_2E0 )
% 5.64/5.87 & ( p @ ( ap @ c_2Earithmetic_2EEVEN @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.64/5.87 => ( p @ ( ap @ V0P @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.64/5.87 & ( ( ( V1n != fo__c_2Enum_2E0 )
% 5.64/5.87 & ~ ( p @ ( ap @ c_2Earithmetic_2EEVEN @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.64/5.87 => ( p @ ( ap @ V0P @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.64/5.87 => ( p @ ( ap @ V0P @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.64/5.87 => ! [V2v: tp__ty_2Enum_2Enum] : ( p @ ( ap @ V0P @ ( inj__ty_2Enum_2Enum @ V2v ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2EEncode_2Ewf__encode__num,axiom,
% 5.64/5.87 ! [V0p: $i] :
% 5.64/5.87 ( ( mem @ V0p @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ ( c_2EEncode_2Ewf__encoder @ ty_2Enum_2Enum ) @ V0p ) @ c_2EEncode_2Eencode__num ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(ax_thm_2EEncode_2Eencode__bnum__def,axiom,
% 5.64/5.87 ( ! [V0n: tp__ty_2Enum_2Enum] :
% 5.64/5.87 ( ( surj__c_ty_2Elist_2Elist_o @ ( ap @ ( ap @ c_2EEncode_2Eencode__bnum @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.64/5.87 = ( surj__c_ty_2Elist_2Elist_o @ ( c_2Elist_2ENIL @ bool ) ) )
% 5.64/5.87 & ! [V1m: tp__ty_2Enum_2Enum,V2n: tp__ty_2Enum_2Enum] :
% 5.64/5.87 ( ( surj__c_ty_2Elist_2Elist_o @ ( ap @ ( ap @ c_2EEncode_2Eencode__bnum @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) )
% 5.64/5.87 = ( surj__c_ty_2Elist_2Elist_o @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ bool ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ c_2Earithmetic_2EEVEN @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) @ ( ap @ ( ap @ c_2EEncode_2Eencode__bnum @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2EEncode_2Eencode__bnum__def__compute,axiom,
% 5.64/5.87 ( ! [V0n: tp__ty_2Enum_2Enum] :
% 5.64/5.87 ( ( surj__c_ty_2Elist_2Elist_o @ ( ap @ ( ap @ c_2EEncode_2Eencode__bnum @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.64/5.87 = ( surj__c_ty_2Elist_2Elist_o @ ( c_2Elist_2ENIL @ bool ) ) )
% 5.64/5.87 & ! [V1m: tp__ty_2Enum_2Enum,V2n: tp__ty_2Enum_2Enum] :
% 5.64/5.87 ( ( surj__c_ty_2Elist_2Elist_o @ ( ap @ ( ap @ c_2EEncode_2Eencode__bnum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) )
% 5.64/5.87 = ( surj__c_ty_2Elist_2Elist_o @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ bool ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ c_2Earithmetic_2EEVEN @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) @ ( ap @ ( ap @ c_2EEncode_2Eencode__bnum @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.64/5.87 & ! [V3m: tp__ty_2Enum_2Enum,V4n: tp__ty_2Enum_2Enum] :
% 5.64/5.87 ( ( surj__c_ty_2Elist_2Elist_o @ ( ap @ ( ap @ c_2EEncode_2Eencode__bnum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V3m ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V4n ) ) )
% 5.64/5.87 = ( surj__c_ty_2Elist_2Elist_o @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ bool ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ c_2Earithmetic_2EEVEN @ ( inj__ty_2Enum_2Enum @ V4n ) ) ) ) @ ( ap @ ( ap @ c_2EEncode_2Eencode__bnum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V3m ) ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( inj__ty_2Enum_2Enum @ V4n ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(ax_thm_2EEncode_2Ecollision__free__def,axiom,
% 5.64/5.87 ! [V0m: tp__ty_2Enum_2Enum,V1p: $i] :
% 5.64/5.87 ( ( mem @ V1p @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ c_2EEncode_2Ecollision__free @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ V1p ) )
% 5.64/5.87 <=> ! [V2x: tp__ty_2Enum_2Enum,V3y: tp__ty_2Enum_2Enum] :
% 5.64/5.87 ( ( ( p @ ( ap @ V1p @ ( inj__ty_2Enum_2Enum @ V2x ) ) )
% 5.64/5.87 & ( p @ ( ap @ V1p @ ( inj__ty_2Enum_2Enum @ V3y ) ) )
% 5.64/5.87 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V2x ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) )
% 5.64/5.87 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V3y ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) ) ) )
% 5.64/5.87 => ( V2x = V3y ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(ax_thm_2EEncode_2Ewf__pred__bnum__def,axiom,
% 5.64/5.87 ! [V0m: tp__ty_2Enum_2Enum,V1p: $i] :
% 5.64/5.87 ( ( mem @ V1p @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ c_2EEncode_2Ewf__pred__bnum @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ V1p ) )
% 5.64/5.87 <=> ( ( p @ ( ap @ ( c_2EEncode_2Ewf__pred @ ty_2Enum_2Enum ) @ V1p ) )
% 5.64/5.87 & ! [V2x: tp__ty_2Enum_2Enum] :
% 5.64/5.87 ( ( p @ ( ap @ V1p @ ( inj__ty_2Enum_2Enum @ V2x ) ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V2x ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2EEncode_2Ewf__pred__bnum__total,axiom,
% 5.64/5.87 ! [V0m: tp__ty_2Enum_2Enum] :
% 5.64/5.87 ( p
% 5.64/5.87 @ ( ap @ ( ap @ c_2EEncode_2Ewf__pred__bnum @ ( inj__ty_2Enum_2Enum @ V0m ) )
% 5.64/5.87 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.87 @ ^ [V1x: $i] : ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ V1x ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2EEncode_2Ewf__pred__bnum,axiom,
% 5.64/5.87 ! [V0m: tp__ty_2Enum_2Enum,V1p: $i] :
% 5.64/5.87 ( ( mem @ V1p @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ c_2EEncode_2Ewf__pred__bnum @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ V1p ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ c_2EEncode_2Ecollision__free @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ V1p ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2EEncode_2Eencode__bnum__length,axiom,
% 5.64/5.87 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.64/5.87 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ bool ) @ ( ap @ ( ap @ c_2EEncode_2Eencode__bnum @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.64/5.87 = V0m ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2EEncode_2Eencode__bnum__inj,axiom,
% 5.64/5.87 ! [V0m: tp__ty_2Enum_2Enum,V1x: tp__ty_2Enum_2Enum,V2y: tp__ty_2Enum_2Enum] :
% 5.64/5.87 ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) )
% 5.64/5.87 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V2y ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) )
% 5.64/5.87 & ( ( surj__c_ty_2Elist_2Elist_o @ ( ap @ ( ap @ c_2EEncode_2Eencode__bnum @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.64/5.87 = ( surj__c_ty_2Elist_2Elist_o @ ( ap @ ( ap @ c_2EEncode_2Eencode__bnum @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V2y ) ) ) ) )
% 5.64/5.87 => ( V1x = V2y ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2EEncode_2Ewf__encode__bnum__collision__free,axiom,
% 5.64/5.87 ! [V0m: tp__ty_2Enum_2Enum,V1p: $i] :
% 5.64/5.87 ( ( mem @ V1p @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ ( c_2EEncode_2Ewf__encoder @ ty_2Enum_2Enum ) @ V1p ) @ ( ap @ c_2EEncode_2Eencode__bnum @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) )
% 5.64/5.87 <=> ( p @ ( ap @ ( ap @ c_2EEncode_2Ecollision__free @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ V1p ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2EEncode_2Ewf__encode__bnum,axiom,
% 5.64/5.87 ! [V0m: tp__ty_2Enum_2Enum,V1p: $i] :
% 5.64/5.87 ( ( mem @ V1p @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.87 => ( ( p @ ( ap @ ( ap @ c_2EEncode_2Ewf__pred__bnum @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ V1p ) )
% 5.64/5.87 => ( p @ ( ap @ ( ap @ ( c_2EEncode_2Ewf__encoder @ ty_2Enum_2Enum ) @ V1p ) @ ( ap @ c_2EEncode_2Eencode__bnum @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(ax_thm_2EEncode_2Etree__TY__DEF,axiom,
% 5.64/5.87 ! [A_27a: del] :
% 5.64/5.87 ? [V0rep: $i] :
% 5.64/5.87 ( ( mem @ V0rep @ ( arr @ ( ty_2EEncode_2Etree @ A_27a ) @ ( ty_2Eind__type_2Erecspace @ A_27a ) ) )
% 5.64/5.87 & ( p
% 5.64/5.87 @ ( ap
% 5.64/5.87 @ ( ap @ ( c_2Ebool_2ETYPE__DEFINITION @ ( ty_2Eind__type_2Erecspace @ A_27a ) @ ( ty_2EEncode_2Etree @ A_27a ) )
% 5.64/5.87 @ ( lam @ ( ty_2Eind__type_2Erecspace @ A_27a )
% 5.64/5.87 @ ^ [V1a0_27: $i] :
% 5.64/5.87 ( ap @ ( c_2Ebool_2E_21 @ ( arr @ ( ty_2Eind__type_2Erecspace @ A_27a ) @ bool ) )
% 5.64/5.87 @ ( lam @ ( arr @ ( ty_2Eind__type_2Erecspace @ A_27a ) @ bool )
% 5.64/5.87 @ ^ [V2_27tree_27: $i] :
% 5.64/5.87 ( ap @ ( c_2Ebool_2E_21 @ ( arr @ ( ty_2Eind__type_2Erecspace @ A_27a ) @ bool ) )
% 5.64/5.87 @ ( lam @ ( arr @ ( ty_2Eind__type_2Erecspace @ A_27a ) @ bool )
% 5.64/5.87 @ ^ [V3_27_40temp_20_40ind__typeEncode0list_27: $i] :
% 5.64/5.87 ( ap
% 5.64/5.87 @ ( ap @ c_2Emin_2E_3D_3D_3E
% 5.64/5.87 @ ( ap
% 5.64/5.87 @ ( ap @ c_2Ebool_2E_2F_5C
% 5.64/5.87 @ ( ap @ ( c_2Ebool_2E_21 @ ( ty_2Eind__type_2Erecspace @ A_27a ) )
% 5.64/5.87 @ ( lam @ ( ty_2Eind__type_2Erecspace @ A_27a )
% 5.64/5.87 @ ^ [V4a0_27: $i] :
% 5.64/5.87 ( ap
% 5.64/5.87 @ ( ap @ c_2Emin_2E_3D_3D_3E
% 5.64/5.87 @ ( ap @ ( c_2Ebool_2E_3F @ A_27a )
% 5.64/5.87 @ ( lam @ A_27a
% 5.64/5.87 @ ^ [V5a0: $i] :
% 5.64/5.87 ( ap @ ( c_2Ebool_2E_3F @ ( ty_2Eind__type_2Erecspace @ A_27a ) )
% 5.64/5.87 @ ( lam @ ( ty_2Eind__type_2Erecspace @ A_27a )
% 5.64/5.87 @ ^ [V6a1: $i] :
% 5.64/5.87 ( ap
% 5.64/5.87 @ ( ap @ c_2Ebool_2E_2F_5C
% 5.64/5.87 @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Eind__type_2Erecspace @ A_27a ) ) @ V4a0_27 )
% 5.64/5.87 @ ( ap
% 5.64/5.87 @ ( ap
% 5.64/5.87 @ ( lam @ A_27a
% 5.64/5.87 @ ^ [V7a0: $i] :
% 5.64/5.87 ( lam @ ( ty_2Eind__type_2Erecspace @ A_27a )
% 5.64/5.87 @ ^ [V8a1: $i] :
% 5.64/5.87 ( ap @ ( ap @ ( ap @ ( c_2Eind__type_2ECONSTR @ A_27a ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ V7a0 )
% 5.64/5.87 @ ( ap @ ( ap @ ( c_2Eind__type_2EFCONS @ ( ty_2Eind__type_2Erecspace @ A_27a ) ) @ V8a1 )
% 5.64/5.87 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.87 @ ^ [V9n: $i] : ( c_2Eind__type_2EBOTTOM @ A_27a ) ) ) ) ) )
% 5.64/5.87 @ V5a0 )
% 5.64/5.87 @ V6a1 ) ) )
% 5.64/5.87 @ ( ap @ V3_27_40temp_20_40ind__typeEncode0list_27 @ V6a1 ) ) ) ) ) ) )
% 5.64/5.87 @ ( ap @ V2_27tree_27 @ V4a0_27 ) ) ) ) )
% 5.64/5.87 @ ( ap @ ( c_2Ebool_2E_21 @ ( ty_2Eind__type_2Erecspace @ A_27a ) )
% 5.64/5.87 @ ( lam @ ( ty_2Eind__type_2Erecspace @ A_27a )
% 5.64/5.87 @ ^ [V10a1_27: $i] :
% 5.64/5.87 ( ap
% 5.64/5.87 @ ( ap @ c_2Emin_2E_3D_3D_3E
% 5.64/5.87 @ ( ap
% 5.64/5.87 @ ( ap @ c_2Ebool_2E_5C_2F
% 5.64/5.87 @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Eind__type_2Erecspace @ A_27a ) ) @ V10a1_27 )
% 5.64/5.87 @ ( ap @ ( ap @ ( ap @ ( c_2Eind__type_2ECONSTR @ A_27a ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) @ ( c_2Ebool_2EARB @ A_27a ) )
% 5.64/5.87 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.87 @ ^ [V11n: $i] : ( c_2Eind__type_2EBOTTOM @ A_27a ) ) ) ) )
% 5.64/5.87 @ ( ap @ ( c_2Ebool_2E_3F @ ( ty_2Eind__type_2Erecspace @ A_27a ) )
% 5.64/5.87 @ ( lam @ ( ty_2Eind__type_2Erecspace @ A_27a )
% 5.64/5.87 @ ^ [V12a0: $i] :
% 5.64/5.87 ( ap @ ( c_2Ebool_2E_3F @ ( ty_2Eind__type_2Erecspace @ A_27a ) )
% 5.64/5.87 @ ( lam @ ( ty_2Eind__type_2Erecspace @ A_27a )
% 5.64/5.87 @ ^ [V13a1: $i] :
% 5.64/5.87 ( ap
% 5.64/5.87 @ ( ap @ c_2Ebool_2E_2F_5C
% 5.64/5.87 @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Eind__type_2Erecspace @ A_27a ) ) @ V10a1_27 )
% 5.64/5.87 @ ( ap
% 5.64/5.87 @ ( ap
% 5.64/5.87 @ ( lam @ ( ty_2Eind__type_2Erecspace @ A_27a )
% 5.64/5.87 @ ^ [V14a0: $i] :
% 5.64/5.87 ( lam @ ( ty_2Eind__type_2Erecspace @ A_27a )
% 5.64/5.87 @ ^ [V15a1: $i] :
% 5.64/5.87 ( ap @ ( ap @ ( ap @ ( c_2Eind__type_2ECONSTR @ A_27a ) @ ( ap @ c_2Enum_2ESUC @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ) @ ( c_2Ebool_2EARB @ A_27a ) )
% 5.64/5.87 @ ( ap @ ( ap @ ( c_2Eind__type_2EFCONS @ ( ty_2Eind__type_2Erecspace @ A_27a ) ) @ V14a0 )
% 5.64/5.87 @ ( ap @ ( ap @ ( c_2Eind__type_2EFCONS @ ( ty_2Eind__type_2Erecspace @ A_27a ) ) @ V15a1 )
% 5.64/5.87 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.87 @ ^ [V16n: $i] : ( c_2Eind__type_2EBOTTOM @ A_27a ) ) ) ) ) ) )
% 5.64/5.87 @ V12a0 )
% 5.64/5.87 @ V13a1 ) ) )
% 5.64/5.87 @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V2_27tree_27 @ V12a0 ) ) @ ( ap @ V3_27_40temp_20_40ind__typeEncode0list_27 @ V13a1 ) ) ) ) ) ) ) ) )
% 5.64/5.87 @ ( ap @ V3_27_40temp_20_40ind__typeEncode0list_27 @ V10a1_27 ) ) ) ) ) )
% 5.64/5.87 @ ( ap @ V2_27tree_27 @ V1a0_27 ) ) ) ) ) ) ) )
% 5.64/5.87 @ V0rep ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(ax_thm_2EEncode_2Etree__case__def,axiom,
% 5.64/5.87 ! [A_27a: del,A_27b: del,V0a0: $i] :
% 5.64/5.87 ( ( mem @ V0a0 @ A_27a )
% 5.64/5.87 => ! [V1a1: $i] :
% 5.64/5.87 ( ( mem @ V1a1 @ ( ty_2Elist_2Elist @ ( ty_2EEncode_2Etree @ A_27a ) ) )
% 5.64/5.87 => ! [V2f: $i] :
% 5.64/5.87 ( ( mem @ V2f @ ( arr @ A_27a @ ( arr @ ( ty_2Elist_2Elist @ ( ty_2EEncode_2Etree @ A_27a ) ) @ A_27b ) ) )
% 5.64/5.87 => ( ( ap @ ( ap @ ( c_2EEncode_2Etree__CASE @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2EEncode_2ENode @ A_27a ) @ V0a0 ) @ V1a1 ) ) @ V2f )
% 5.64/5.87 = ( ap @ ( ap @ V2f @ V0a0 ) @ V1a1 ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(ax_thm_2EEncode_2Etree__size__def,axiom,
% 5.64/5.87 ! [A_27a: del] :
% 5.64/5.87 ( ! [V0f: $i] :
% 5.64/5.87 ( ( mem @ V0f @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V1a0: $i] :
% 5.64/5.87 ( ( mem @ V1a0 @ A_27a )
% 5.64/5.87 => ! [V2a1: $i] :
% 5.64/5.87 ( ( mem @ V2a1 @ ( ty_2Elist_2Elist @ ( ty_2EEncode_2Etree @ A_27a ) ) )
% 5.64/5.87 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( c_2EEncode_2Etree__size @ A_27a ) @ V0f ) @ ( ap @ ( ap @ ( c_2EEncode_2ENode @ A_27a ) @ V1a0 ) @ V2a1 ) ) )
% 5.64/5.87 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ V0f @ V1a0 ) ) @ ( ap @ ( ap @ ( c_2EEncode_2Etree1__size @ A_27a ) @ V0f ) @ V2a1 ) ) ) ) ) ) ) )
% 5.64/5.87 & ! [V3f: $i] :
% 5.64/5.87 ( ( mem @ V3f @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( c_2EEncode_2Etree1__size @ A_27a ) @ V3f ) @ ( c_2Elist_2ENIL @ ( ty_2EEncode_2Etree @ A_27a ) ) ) )
% 5.64/5.87 = fo__c_2Enum_2E0 ) )
% 5.64/5.87 & ! [V4f: $i] :
% 5.64/5.87 ( ( mem @ V4f @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.87 => ! [V5a0: $i] :
% 5.64/5.87 ( ( mem @ V5a0 @ ( ty_2EEncode_2Etree @ A_27a ) )
% 5.64/5.87 => ! [V6a1: $i] :
% 5.64/5.87 ( ( mem @ V6a1 @ ( ty_2Elist_2Elist @ ( ty_2EEncode_2Etree @ A_27a ) ) )
% 5.64/5.87 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( c_2EEncode_2Etree1__size @ A_27a ) @ V4f ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ( ty_2EEncode_2Etree @ A_27a ) ) @ V5a0 ) @ V6a1 ) ) )
% 5.64/5.87 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ ( c_2EEncode_2Etree__size @ A_27a ) @ V4f ) @ V5a0 ) ) @ ( ap @ ( ap @ ( c_2EEncode_2Etree1__size @ A_27a ) @ V4f ) @ V6a1 ) ) ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2EEncode_2Edatatype__tree,axiom,
% 5.64/5.87 ! [A_27a: del,V0tree: $i] :
% 5.64/5.87 ( ( mem @ V0tree @ ( arr @ ( arr @ A_27a @ ( arr @ ( ty_2Elist_2Elist @ ( ty_2EEncode_2Etree @ A_27a ) ) @ ( ty_2EEncode_2Etree @ A_27a ) ) ) @ bool ) )
% 5.64/5.87 => ( p @ ( ap @ ( c_2Ebool_2EDATATYPE @ bool ) @ ( ap @ V0tree @ ( c_2EEncode_2ENode @ A_27a ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2EEncode_2Etree__11,axiom,
% 5.64/5.87 ! [A_27a: del,V0a0: $i] :
% 5.64/5.87 ( ( mem @ V0a0 @ A_27a )
% 5.64/5.87 => ! [V1a1: $i] :
% 5.64/5.87 ( ( mem @ V1a1 @ ( ty_2Elist_2Elist @ ( ty_2EEncode_2Etree @ A_27a ) ) )
% 5.64/5.87 => ! [V2a0_27: $i] :
% 5.64/5.87 ( ( mem @ V2a0_27 @ A_27a )
% 5.64/5.87 => ! [V3a1_27: $i] :
% 5.64/5.87 ( ( mem @ V3a1_27 @ ( ty_2Elist_2Elist @ ( ty_2EEncode_2Etree @ A_27a ) ) )
% 5.64/5.87 => ( ( ( ap @ ( ap @ ( c_2EEncode_2ENode @ A_27a ) @ V0a0 ) @ V1a1 )
% 5.64/5.87 = ( ap @ ( ap @ ( c_2EEncode_2ENode @ A_27a ) @ V2a0_27 ) @ V3a1_27 ) )
% 5.64/5.87 <=> ( ( V0a0 = V2a0_27 )
% 5.64/5.87 & ( V1a1 = V3a1_27 ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2EEncode_2Etree__nchotomy,axiom,
% 5.64/5.87 ! [A_27a: del,V0tt: $i] :
% 5.64/5.87 ( ( mem @ V0tt @ ( ty_2EEncode_2Etree @ A_27a ) )
% 5.64/5.87 => ? [V1a: $i] :
% 5.64/5.87 ( ( mem @ V1a @ A_27a )
% 5.64/5.87 & ? [V2l: $i] :
% 5.64/5.87 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ ( ty_2EEncode_2Etree @ A_27a ) ) )
% 5.64/5.87 & ( V0tt
% 5.64/5.87 = ( ap @ ( ap @ ( c_2EEncode_2ENode @ A_27a ) @ V1a ) @ V2l ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2EEncode_2Etree__Axiom,axiom,
% 5.64/5.87 ! [A_27a: del,A_27b: del,A_27c: del,V0f0: $i] :
% 5.64/5.87 ( ( mem @ V0f0 @ ( arr @ A_27a @ ( arr @ ( ty_2Elist_2Elist @ ( ty_2EEncode_2Etree @ A_27a ) ) @ ( arr @ A_27c @ A_27b ) ) ) )
% 5.64/5.87 => ! [V1f1: $i] :
% 5.64/5.87 ( ( mem @ V1f1 @ A_27c )
% 5.64/5.87 => ! [V2f2: $i] :
% 5.64/5.87 ( ( mem @ V2f2 @ ( arr @ ( ty_2EEncode_2Etree @ A_27a ) @ ( arr @ ( ty_2Elist_2Elist @ ( ty_2EEncode_2Etree @ A_27a ) ) @ ( arr @ A_27b @ ( arr @ A_27c @ A_27c ) ) ) ) )
% 5.64/5.87 => ? [V3fn0: $i] :
% 5.64/5.87 ( ( mem @ V3fn0 @ ( arr @ ( ty_2EEncode_2Etree @ A_27a ) @ A_27b ) )
% 5.64/5.87 & ? [V4fn1: $i] :
% 5.64/5.87 ( ( mem @ V4fn1 @ ( arr @ ( ty_2Elist_2Elist @ ( ty_2EEncode_2Etree @ A_27a ) ) @ A_27c ) )
% 5.64/5.87 & ! [V5a0: $i] :
% 5.64/5.87 ( ( mem @ V5a0 @ A_27a )
% 5.64/5.87 => ! [V6a1: $i] :
% 5.64/5.87 ( ( mem @ V6a1 @ ( ty_2Elist_2Elist @ ( ty_2EEncode_2Etree @ A_27a ) ) )
% 5.64/5.87 => ( ( ap @ V3fn0 @ ( ap @ ( ap @ ( c_2EEncode_2ENode @ A_27a ) @ V5a0 ) @ V6a1 ) )
% 5.64/5.87 = ( ap @ ( ap @ ( ap @ V0f0 @ V5a0 ) @ V6a1 ) @ ( ap @ V4fn1 @ V6a1 ) ) ) ) )
% 5.64/5.87 & ( ( ap @ V4fn1 @ ( c_2Elist_2ENIL @ ( ty_2EEncode_2Etree @ A_27a ) ) )
% 5.64/5.87 = V1f1 )
% 5.64/5.87 & ! [V7a0: $i] :
% 5.64/5.87 ( ( mem @ V7a0 @ ( ty_2EEncode_2Etree @ A_27a ) )
% 5.64/5.87 => ! [V8a1: $i] :
% 5.64/5.87 ( ( mem @ V8a1 @ ( ty_2Elist_2Elist @ ( ty_2EEncode_2Etree @ A_27a ) ) )
% 5.64/5.87 => ( ( ap @ V4fn1 @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ( ty_2EEncode_2Etree @ A_27a ) ) @ V7a0 ) @ V8a1 ) )
% 5.64/5.87 = ( ap @ ( ap @ ( ap @ ( ap @ V2f2 @ V7a0 ) @ V8a1 ) @ ( ap @ V3fn0 @ V7a0 ) ) @ ( ap @ V4fn1 @ V8a1 ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2EEncode_2Etree__induction,axiom,
% 5.64/5.87 ! [A_27a: del,V0P0: $i] :
% 5.64/5.87 ( ( mem @ V0P0 @ ( arr @ ( ty_2EEncode_2Etree @ A_27a ) @ bool ) )
% 5.64/5.87 => ! [V1P1: $i] :
% 5.64/5.87 ( ( mem @ V1P1 @ ( arr @ ( ty_2Elist_2Elist @ ( ty_2EEncode_2Etree @ A_27a ) ) @ bool ) )
% 5.64/5.87 => ( ( ! [V2l: $i] :
% 5.64/5.87 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ ( ty_2EEncode_2Etree @ A_27a ) ) )
% 5.64/5.87 => ( ( p @ ( ap @ V1P1 @ V2l ) )
% 5.64/5.87 => ! [V3a: $i] :
% 5.64/5.87 ( ( mem @ V3a @ A_27a )
% 5.64/5.87 => ( p @ ( ap @ V0P0 @ ( ap @ ( ap @ ( c_2EEncode_2ENode @ A_27a ) @ V3a ) @ V2l ) ) ) ) ) )
% 5.64/5.87 & ( p @ ( ap @ V1P1 @ ( c_2Elist_2ENIL @ ( ty_2EEncode_2Etree @ A_27a ) ) ) )
% 5.64/5.87 & ! [V4t: $i] :
% 5.64/5.87 ( ( mem @ V4t @ ( ty_2EEncode_2Etree @ A_27a ) )
% 5.64/5.87 => ! [V5l: $i] :
% 5.64/5.87 ( ( mem @ V5l @ ( ty_2Elist_2Elist @ ( ty_2EEncode_2Etree @ A_27a ) ) )
% 5.64/5.87 => ( ( ( p @ ( ap @ V0P0 @ V4t ) )
% 5.64/5.87 & ( p @ ( ap @ V1P1 @ V5l ) ) )
% 5.64/5.87 => ( p @ ( ap @ V1P1 @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ( ty_2EEncode_2Etree @ A_27a ) ) @ V4t ) @ V5l ) ) ) ) ) ) )
% 5.64/5.87 => ( ! [V6t: $i] :
% 5.64/5.87 ( ( mem @ V6t @ ( ty_2EEncode_2Etree @ A_27a ) )
% 5.64/5.87 => ( p @ ( ap @ V0P0 @ V6t ) ) )
% 5.64/5.87 & ! [V7l: $i] :
% 5.64/5.87 ( ( mem @ V7l @ ( ty_2Elist_2Elist @ ( ty_2EEncode_2Etree @ A_27a ) ) )
% 5.64/5.87 => ( p @ ( ap @ V1P1 @ V7l ) ) ) ) ) ) ) ).
% 5.64/5.87
% 5.64/5.87 thf(conj_thm_2EEncode_2Etree__case__cong,axiom,
% 5.64/5.87 ! [A_27a: del,A_27b: del,V0f_27: $i] :
% 5.64/5.87 ( ( mem @ V0f_27 @ ( arr @ A_27a @ ( arr @ ( ty_2Elist_2Elist @ ( ty_2EEncode_2Etree @ A_27a ) ) @ A_27b ) ) )
% 5.64/5.87 => ! [V1M: $i] :
% 5.64/5.87 ( ( mem @ V1M @ ( ty_2EEncode_2Etree @ A_27a ) )
% 5.64/5.87 => ! [V2M_27: $i] :
% 5.64/5.88 ( ( mem @ V2M_27 @ ( ty_2EEncode_2Etree @ A_27a ) )
% 5.64/5.88 => ! [V3f: $i] :
% 5.64/5.88 ( ( mem @ V3f @ ( arr @ A_27a @ ( arr @ ( ty_2Elist_2Elist @ ( ty_2EEncode_2Etree @ A_27a ) ) @ A_27b ) ) )
% 5.64/5.88 => ( ( ( V1M = V2M_27 )
% 5.64/5.88 & ! [V4a0: $i] :
% 5.64/5.88 ( ( mem @ V4a0 @ A_27a )
% 5.64/5.88 => ! [V5a1: $i] :
% 5.64/5.88 ( ( mem @ V5a1 @ ( ty_2Elist_2Elist @ ( ty_2EEncode_2Etree @ A_27a ) ) )
% 5.64/5.88 => ( ( V2M_27
% 5.64/5.88 = ( ap @ ( ap @ ( c_2EEncode_2ENode @ A_27a ) @ V4a0 ) @ V5a1 ) )
% 5.64/5.88 => ( ( ap @ ( ap @ V3f @ V4a0 ) @ V5a1 )
% 5.64/5.88 = ( ap @ ( ap @ V0f_27 @ V4a0 ) @ V5a1 ) ) ) ) ) )
% 5.64/5.88 => ( ( ap @ ( ap @ ( c_2EEncode_2Etree__CASE @ A_27a @ A_27b ) @ V1M ) @ V3f )
% 5.64/5.88 = ( ap @ ( ap @ ( c_2EEncode_2Etree__CASE @ A_27a @ A_27b ) @ V2M_27 ) @ V0f_27 ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2EEncode_2Etree__case__eq,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,V0x: $i] :
% 5.64/5.88 ( ( mem @ V0x @ ( ty_2EEncode_2Etree @ A_27a ) )
% 5.64/5.88 => ! [V1f: $i] :
% 5.64/5.88 ( ( mem @ V1f @ ( arr @ A_27a @ ( arr @ ( ty_2Elist_2Elist @ ( ty_2EEncode_2Etree @ A_27a ) ) @ A_27b ) ) )
% 5.64/5.88 => ! [V2v: $i] :
% 5.64/5.88 ( ( mem @ V2v @ A_27b )
% 5.64/5.88 => ( ( ( ap @ ( ap @ ( c_2EEncode_2Etree__CASE @ A_27a @ A_27b ) @ V0x ) @ V1f )
% 5.64/5.88 = V2v )
% 5.64/5.88 <=> ? [V3a: $i] :
% 5.64/5.88 ( ( mem @ V3a @ A_27a )
% 5.64/5.88 & ? [V4l: $i] :
% 5.64/5.88 ( ( mem @ V4l @ ( ty_2Elist_2Elist @ ( ty_2EEncode_2Etree @ A_27a ) ) )
% 5.64/5.88 & ( V0x
% 5.64/5.88 = ( ap @ ( ap @ ( c_2EEncode_2ENode @ A_27a ) @ V3a ) @ V4l ) )
% 5.64/5.88 & ( ( ap @ ( ap @ V1f @ V3a ) @ V4l )
% 5.64/5.88 = V2v ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2EEncode_2Etree__ind,axiom,
% 5.64/5.88 ! [A_27a: del,V0p: $i] :
% 5.64/5.88 ( ( mem @ V0p @ ( arr @ ( ty_2EEncode_2Etree @ A_27a ) @ bool ) )
% 5.64/5.88 => ( ! [V1a: $i] :
% 5.64/5.88 ( ( mem @ V1a @ A_27a )
% 5.64/5.88 => ! [V2ts: $i] :
% 5.64/5.88 ( ( mem @ V2ts @ ( ty_2Elist_2Elist @ ( ty_2EEncode_2Etree @ A_27a ) ) )
% 5.64/5.88 => ( ! [V3t: $i] :
% 5.64/5.88 ( ( mem @ V3t @ ( ty_2EEncode_2Etree @ A_27a ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2EEncode_2Etree @ A_27a ) ) @ V3t ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ ( ty_2EEncode_2Etree @ A_27a ) ) @ V2ts ) ) )
% 5.64/5.88 => ( p @ ( ap @ V0p @ V3t ) ) ) )
% 5.64/5.88 => ( p @ ( ap @ V0p @ ( ap @ ( ap @ ( c_2EEncode_2ENode @ A_27a ) @ V1a ) @ V2ts ) ) ) ) ) )
% 5.64/5.88 => ! [V4t: $i] :
% 5.64/5.88 ( ( mem @ V4t @ ( ty_2EEncode_2Etree @ A_27a ) )
% 5.64/5.88 => ( p @ ( ap @ V0p @ V4t ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2EEncode_2Eencode__tree__def,axiom,
% 5.64/5.88 ! [A_27a: del,V0e: $i] :
% 5.64/5.88 ( ( mem @ V0e @ ( arr @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) )
% 5.64/5.88 => ! [V1a: $i] :
% 5.64/5.88 ( ( mem @ V1a @ A_27a )
% 5.64/5.88 => ! [V2ts: $i] :
% 5.64/5.88 ( ( mem @ V2ts @ ( ty_2Elist_2Elist @ ( ty_2EEncode_2Etree @ A_27a ) ) )
% 5.64/5.88 => ( ( surj__c_ty_2Elist_2Elist_o @ ( ap @ ( ap @ ( c_2EEncode_2Eencode__tree @ A_27a ) @ V0e ) @ ( ap @ ( ap @ ( c_2EEncode_2ENode @ A_27a ) @ V1a ) @ V2ts ) ) )
% 5.64/5.88 = ( surj__c_ty_2Elist_2Elist_o @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ bool ) @ ( ap @ V0e @ V1a ) ) @ ( ap @ ( ap @ ( c_2EEncode_2Eencode__list @ ( ty_2EEncode_2Etree @ A_27a ) ) @ ( ap @ ( c_2EEncode_2Eencode__tree @ A_27a ) @ V0e ) ) @ V2ts ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2EEncode_2Elift__tree__def,axiom,
% 5.64/5.88 ! [A_27a: del,V0p: $i] :
% 5.64/5.88 ( ( mem @ V0p @ ( arr @ A_27a @ bool ) )
% 5.64/5.88 => ! [V1a: $i] :
% 5.64/5.88 ( ( mem @ V1a @ A_27a )
% 5.64/5.88 => ! [V2ts: $i] :
% 5.64/5.88 ( ( mem @ V2ts @ ( ty_2Elist_2Elist @ ( ty_2EEncode_2Etree @ A_27a ) ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( ap @ ( c_2EEncode_2Elift__tree @ A_27a ) @ V0p ) @ ( ap @ ( ap @ ( c_2EEncode_2ENode @ A_27a ) @ V1a ) @ V2ts ) ) )
% 5.64/5.88 <=> ( ( p @ ( ap @ V0p @ V1a ) )
% 5.64/5.88 & ( p @ ( ap @ ( ap @ ( c_2Elist_2EEVERY @ ( ty_2EEncode_2Etree @ A_27a ) ) @ ( ap @ ( c_2EEncode_2Elift__tree @ A_27a ) @ V0p ) ) @ V2ts ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2EEncode_2Ewf__encode__tree,axiom,
% 5.64/5.88 ! [A_27a: del,V0p: $i] :
% 5.64/5.88 ( ( mem @ V0p @ ( arr @ A_27a @ bool ) )
% 5.64/5.88 => ! [V1e: $i] :
% 5.64/5.88 ( ( mem @ V1e @ ( arr @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( ap @ ( c_2EEncode_2Ewf__encoder @ A_27a ) @ V0p ) @ V1e ) )
% 5.64/5.88 => ( p @ ( ap @ ( ap @ ( c_2EEncode_2Ewf__encoder @ ( ty_2EEncode_2Etree @ A_27a ) ) @ ( ap @ ( c_2EEncode_2Elift__tree @ A_27a ) @ V0p ) ) @ ( ap @ ( c_2EEncode_2Eencode__tree @ A_27a ) @ V1e ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 %------------------------------------------------------------------------------
% 5.64/5.88 %------------------------------------------------------------------------------
% 5.64/5.88 thf(tp_ty_2Esemi__ring_2Esemi__ring,type,
% 5.64/5.88 ty_2Esemi__ring_2Esemi__ring: del > del ).
% 5.64/5.88
% 5.64/5.88 thf(tp_c_2Esemi__ring_2Eis__semi__ring,type,
% 5.64/5.88 c_2Esemi__ring_2Eis__semi__ring: del > $i ).
% 5.64/5.88
% 5.64/5.88 thf(mem_c_2Esemi__ring_2Eis__semi__ring,axiom,
% 5.64/5.88 ! [A_27a: del] : ( mem @ ( c_2Esemi__ring_2Eis__semi__ring @ A_27a ) @ ( arr @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) @ bool ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(tp_c_2Esemi__ring_2Erecordtype_2Esemi__ring,type,
% 5.64/5.88 c_2Esemi__ring_2Erecordtype_2Esemi__ring: del > $i ).
% 5.64/5.88
% 5.64/5.88 thf(mem_c_2Esemi__ring_2Erecordtype_2Esemi__ring,axiom,
% 5.64/5.88 ! [A_27a: del] : ( mem @ ( c_2Esemi__ring_2Erecordtype_2Esemi__ring @ A_27a ) @ ( arr @ A_27a @ ( arr @ A_27a @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(tp_c_2Esemi__ring_2Esemi__ring__CASE,type,
% 5.64/5.88 c_2Esemi__ring_2Esemi__ring__CASE: del > del > $i ).
% 5.64/5.88
% 5.64/5.88 thf(mem_c_2Esemi__ring_2Esemi__ring__CASE,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Esemi__ring_2Esemi__ring__CASE @ A_27a @ A_27b ) @ ( arr @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ A_27b ) ) ) ) @ A_27b ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(tp_c_2Esemi__ring_2Esemi__ring__SR0,type,
% 5.64/5.88 c_2Esemi__ring_2Esemi__ring__SR0: del > $i ).
% 5.64/5.88
% 5.64/5.88 thf(mem_c_2Esemi__ring_2Esemi__ring__SR0,axiom,
% 5.64/5.88 ! [A_27a: del] : ( mem @ ( c_2Esemi__ring_2Esemi__ring__SR0 @ A_27a ) @ ( arr @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) @ A_27a ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(tp_c_2Esemi__ring_2Esemi__ring__SR0__fupd,type,
% 5.64/5.88 c_2Esemi__ring_2Esemi__ring__SR0__fupd: del > $i ).
% 5.64/5.88
% 5.64/5.88 thf(mem_c_2Esemi__ring_2Esemi__ring__SR0__fupd,axiom,
% 5.64/5.88 ! [A_27a: del] : ( mem @ ( c_2Esemi__ring_2Esemi__ring__SR0__fupd @ A_27a ) @ ( arr @ ( arr @ A_27a @ A_27a ) @ ( arr @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(tp_c_2Esemi__ring_2Esemi__ring__SR1,type,
% 5.64/5.88 c_2Esemi__ring_2Esemi__ring__SR1: del > $i ).
% 5.64/5.88
% 5.64/5.88 thf(mem_c_2Esemi__ring_2Esemi__ring__SR1,axiom,
% 5.64/5.88 ! [A_27a: del] : ( mem @ ( c_2Esemi__ring_2Esemi__ring__SR1 @ A_27a ) @ ( arr @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) @ A_27a ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(tp_c_2Esemi__ring_2Esemi__ring__SR1__fupd,type,
% 5.64/5.88 c_2Esemi__ring_2Esemi__ring__SR1__fupd: del > $i ).
% 5.64/5.88
% 5.64/5.88 thf(mem_c_2Esemi__ring_2Esemi__ring__SR1__fupd,axiom,
% 5.64/5.88 ! [A_27a: del] : ( mem @ ( c_2Esemi__ring_2Esemi__ring__SR1__fupd @ A_27a ) @ ( arr @ ( arr @ A_27a @ A_27a ) @ ( arr @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(tp_c_2Esemi__ring_2Esemi__ring__SRM,type,
% 5.64/5.88 c_2Esemi__ring_2Esemi__ring__SRM: del > $i ).
% 5.64/5.88
% 5.64/5.88 thf(mem_c_2Esemi__ring_2Esemi__ring__SRM,axiom,
% 5.64/5.88 ! [A_27a: del] : ( mem @ ( c_2Esemi__ring_2Esemi__ring__SRM @ A_27a ) @ ( arr @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(tp_c_2Esemi__ring_2Esemi__ring__SRM__fupd,type,
% 5.64/5.88 c_2Esemi__ring_2Esemi__ring__SRM__fupd: del > $i ).
% 5.64/5.88
% 5.64/5.88 thf(mem_c_2Esemi__ring_2Esemi__ring__SRM__fupd,axiom,
% 5.64/5.88 ! [A_27a: del] : ( mem @ ( c_2Esemi__ring_2Esemi__ring__SRM__fupd @ A_27a ) @ ( arr @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) @ ( arr @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(tp_c_2Esemi__ring_2Esemi__ring__SRP,type,
% 5.64/5.88 c_2Esemi__ring_2Esemi__ring__SRP: del > $i ).
% 5.64/5.88
% 5.64/5.88 thf(mem_c_2Esemi__ring_2Esemi__ring__SRP,axiom,
% 5.64/5.88 ! [A_27a: del] : ( mem @ ( c_2Esemi__ring_2Esemi__ring__SRP @ A_27a ) @ ( arr @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(tp_c_2Esemi__ring_2Esemi__ring__SRP__fupd,type,
% 5.64/5.88 c_2Esemi__ring_2Esemi__ring__SRP__fupd: del > $i ).
% 5.64/5.88
% 5.64/5.88 thf(mem_c_2Esemi__ring_2Esemi__ring__SRP__fupd,axiom,
% 5.64/5.88 ! [A_27a: del] : ( mem @ ( c_2Esemi__ring_2Esemi__ring__SRP__fupd @ A_27a ) @ ( arr @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) @ ( arr @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(tp_c_2Esemi__ring_2Esemi__ring__size,type,
% 5.64/5.88 c_2Esemi__ring_2Esemi__ring__size: del > $i ).
% 5.64/5.88
% 5.64/5.88 thf(mem_c_2Esemi__ring_2Esemi__ring__size,axiom,
% 5.64/5.88 ! [A_27a: del] : ( mem @ ( c_2Esemi__ring_2Esemi__ring__size @ A_27a ) @ ( arr @ ( arr @ A_27a @ ty_2Enum_2Enum ) @ ( arr @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) @ ty_2Enum_2Enum ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(ax_thm_2Esemi__ring_2Esemi__ring__TY__DEF,axiom,
% 5.64/5.88 ! [A_27a: del] :
% 5.64/5.88 ? [V0rep: $i] :
% 5.64/5.88 ( ( mem @ V0rep @ ( arr @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) @ ( ty_2Eind__type_2Erecspace @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) ) ) ) ) )
% 5.64/5.88 & ( p
% 5.64/5.88 @ ( ap
% 5.64/5.88 @ ( ap @ ( c_2Ebool_2ETYPE__DEFINITION @ ( ty_2Eind__type_2Erecspace @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) ) ) ) @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) )
% 5.64/5.88 @ ( lam @ ( ty_2Eind__type_2Erecspace @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) ) ) )
% 5.64/5.88 @ ^ [V1a0_27: $i] :
% 5.64/5.88 ( ap @ ( c_2Ebool_2E_21 @ ( arr @ ( ty_2Eind__type_2Erecspace @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) ) ) ) @ bool ) )
% 5.64/5.88 @ ( lam @ ( arr @ ( ty_2Eind__type_2Erecspace @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) ) ) ) @ bool )
% 5.64/5.88 @ ^ [V2_27semi__ring_27: $i] :
% 5.64/5.88 ( ap
% 5.64/5.88 @ ( ap @ c_2Emin_2E_3D_3D_3E
% 5.64/5.88 @ ( ap @ ( c_2Ebool_2E_21 @ ( ty_2Eind__type_2Erecspace @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) ) ) ) )
% 5.64/5.88 @ ( lam @ ( ty_2Eind__type_2Erecspace @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) ) ) )
% 5.64/5.88 @ ^ [V3a0_27: $i] :
% 5.64/5.88 ( ap
% 5.64/5.88 @ ( ap @ c_2Emin_2E_3D_3D_3E
% 5.64/5.88 @ ( ap @ ( c_2Ebool_2E_3F @ A_27a )
% 5.64/5.88 @ ( lam @ A_27a
% 5.64/5.88 @ ^ [V4a0: $i] :
% 5.64/5.88 ( ap @ ( c_2Ebool_2E_3F @ A_27a )
% 5.64/5.88 @ ( lam @ A_27a
% 5.64/5.88 @ ^ [V5a1: $i] :
% 5.64/5.88 ( ap @ ( c_2Ebool_2E_3F @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.64/5.88 @ ( lam @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) )
% 5.64/5.88 @ ^ [V6a2: $i] :
% 5.64/5.88 ( ap @ ( c_2Ebool_2E_3F @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.64/5.88 @ ( lam @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) )
% 5.64/5.88 @ ^ [V7a3: $i] :
% 5.64/5.88 ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Eind__type_2Erecspace @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) ) ) ) ) @ V3a0_27 )
% 5.64/5.88 @ ( ap
% 5.64/5.88 @ ( ap
% 5.64/5.88 @ ( ap
% 5.64/5.88 @ ( ap
% 5.64/5.88 @ ( lam @ A_27a
% 5.64/5.88 @ ^ [V8a0: $i] :
% 5.64/5.88 ( lam @ A_27a
% 5.64/5.88 @ ^ [V9a1: $i] :
% 5.64/5.88 ( lam @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) )
% 5.64/5.88 @ ^ [V10a2: $i] :
% 5.64/5.88 ( lam @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) )
% 5.64/5.88 @ ^ [V11a3: $i] :
% 5.64/5.88 ( ap @ ( ap @ ( ap @ ( c_2Eind__type_2ECONSTR @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) ) ) @ V8a0 ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) ) @ V9a1 ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) @ V10a2 ) @ V11a3 ) ) ) )
% 5.64/5.88 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.88 @ ^ [V12n: $i] : ( c_2Eind__type_2EBOTTOM @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) ) ) ) ) ) ) ) ) )
% 5.64/5.88 @ V4a0 )
% 5.64/5.88 @ V5a1 )
% 5.64/5.88 @ V6a2 )
% 5.64/5.88 @ V7a3 ) ) ) ) ) ) ) ) ) ) )
% 5.64/5.88 @ ( ap @ V2_27semi__ring_27 @ V3a0_27 ) ) ) ) )
% 5.64/5.88 @ ( ap @ V2_27semi__ring_27 @ V1a0_27 ) ) ) ) ) )
% 5.64/5.88 @ V0rep ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(ax_thm_2Esemi__ring_2Esemi__ring__case__def,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,V0a0: $i] :
% 5.64/5.88 ( ( mem @ V0a0 @ A_27a )
% 5.64/5.88 => ! [V1a1: $i] :
% 5.64/5.88 ( ( mem @ V1a1 @ A_27a )
% 5.64/5.88 => ! [V2a2: $i] :
% 5.64/5.88 ( ( mem @ V2a2 @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.64/5.88 => ! [V3a3: $i] :
% 5.64/5.88 ( ( mem @ V3a3 @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.64/5.88 => ! [V4f: $i] :
% 5.64/5.88 ( ( mem @ V4f @ ( arr @ A_27a @ ( arr @ A_27a @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ A_27b ) ) ) ) )
% 5.64/5.88 => ( ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__CASE @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Erecordtype_2Esemi__ring @ A_27a ) @ V0a0 ) @ V1a1 ) @ V2a2 ) @ V3a3 ) ) @ V4f )
% 5.64/5.88 = ( ap @ ( ap @ ( ap @ ( ap @ V4f @ V0a0 ) @ V1a1 ) @ V2a2 ) @ V3a3 ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(ax_thm_2Esemi__ring_2Esemi__ring__size__def,axiom,
% 5.64/5.88 ! [A_27a: del,V0f: $i] :
% 5.64/5.88 ( ( mem @ V0f @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.88 => ! [V1a0: $i] :
% 5.64/5.88 ( ( mem @ V1a0 @ A_27a )
% 5.64/5.88 => ! [V2a1: $i] :
% 5.64/5.88 ( ( mem @ V2a1 @ A_27a )
% 5.64/5.88 => ! [V3a2: $i] :
% 5.64/5.88 ( ( mem @ V3a2 @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.64/5.88 => ! [V4a3: $i] :
% 5.64/5.88 ( ( mem @ V4a3 @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.64/5.88 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__size @ A_27a ) @ V0f ) @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Erecordtype_2Esemi__ring @ A_27a ) @ V1a0 ) @ V2a1 ) @ V3a2 ) @ V4a3 ) ) )
% 5.64/5.88 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ V0f @ V1a0 ) ) @ ( ap @ V0f @ V2a1 ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(ax_thm_2Esemi__ring_2Esemi__ring__SR0,axiom,
% 5.64/5.88 ! [A_27a: del,V0a: $i] :
% 5.64/5.88 ( ( mem @ V0a @ A_27a )
% 5.64/5.88 => ! [V1a0: $i] :
% 5.64/5.88 ( ( mem @ V1a0 @ A_27a )
% 5.64/5.88 => ! [V2f: $i] :
% 5.64/5.88 ( ( mem @ V2f @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.64/5.88 => ! [V3f0: $i] :
% 5.64/5.88 ( ( mem @ V3f0 @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.64/5.88 => ( ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR0 @ A_27a ) @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Erecordtype_2Esemi__ring @ A_27a ) @ V0a ) @ V1a0 ) @ V2f ) @ V3f0 ) )
% 5.64/5.88 = V0a ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(ax_thm_2Esemi__ring_2Esemi__ring__SR1,axiom,
% 5.64/5.88 ! [A_27a: del,V0a: $i] :
% 5.64/5.88 ( ( mem @ V0a @ A_27a )
% 5.64/5.88 => ! [V1a0: $i] :
% 5.64/5.88 ( ( mem @ V1a0 @ A_27a )
% 5.64/5.88 => ! [V2f: $i] :
% 5.64/5.88 ( ( mem @ V2f @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.64/5.88 => ! [V3f0: $i] :
% 5.64/5.88 ( ( mem @ V3f0 @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.64/5.88 => ( ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR1 @ A_27a ) @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Erecordtype_2Esemi__ring @ A_27a ) @ V0a ) @ V1a0 ) @ V2f ) @ V3f0 ) )
% 5.64/5.88 = V1a0 ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(ax_thm_2Esemi__ring_2Esemi__ring__SRP,axiom,
% 5.64/5.88 ! [A_27a: del,V0a: $i] :
% 5.64/5.88 ( ( mem @ V0a @ A_27a )
% 5.64/5.88 => ! [V1a0: $i] :
% 5.64/5.88 ( ( mem @ V1a0 @ A_27a )
% 5.64/5.88 => ! [V2f: $i] :
% 5.64/5.88 ( ( mem @ V2f @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.64/5.88 => ! [V3f0: $i] :
% 5.64/5.88 ( ( mem @ V3f0 @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.64/5.88 => ( ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRP @ A_27a ) @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Erecordtype_2Esemi__ring @ A_27a ) @ V0a ) @ V1a0 ) @ V2f ) @ V3f0 ) )
% 5.64/5.88 = V2f ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(ax_thm_2Esemi__ring_2Esemi__ring__SRM,axiom,
% 5.64/5.88 ! [A_27a: del,V0a: $i] :
% 5.64/5.88 ( ( mem @ V0a @ A_27a )
% 5.64/5.88 => ! [V1a0: $i] :
% 5.64/5.88 ( ( mem @ V1a0 @ A_27a )
% 5.64/5.88 => ! [V2f: $i] :
% 5.64/5.88 ( ( mem @ V2f @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.64/5.88 => ! [V3f0: $i] :
% 5.64/5.88 ( ( mem @ V3f0 @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.64/5.88 => ( ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRM @ A_27a ) @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Erecordtype_2Esemi__ring @ A_27a ) @ V0a ) @ V1a0 ) @ V2f ) @ V3f0 ) )
% 5.64/5.88 = V3f0 ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Esemi__ring_2Esemi__ring__accessors,axiom,
% 5.64/5.88 ! [A_27a: del] :
% 5.64/5.88 ( ! [V0a: $i] :
% 5.64/5.88 ( ( mem @ V0a @ A_27a )
% 5.64/5.88 => ! [V1a0: $i] :
% 5.64/5.88 ( ( mem @ V1a0 @ A_27a )
% 5.64/5.88 => ! [V2f: $i] :
% 5.64/5.88 ( ( mem @ V2f @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.64/5.88 => ! [V3f0: $i] :
% 5.64/5.88 ( ( mem @ V3f0 @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.64/5.88 => ( ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR0 @ A_27a ) @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Erecordtype_2Esemi__ring @ A_27a ) @ V0a ) @ V1a0 ) @ V2f ) @ V3f0 ) )
% 5.64/5.88 = V0a ) ) ) ) )
% 5.64/5.88 & ! [V4a: $i] :
% 5.64/5.88 ( ( mem @ V4a @ A_27a )
% 5.64/5.88 => ! [V5a0: $i] :
% 5.64/5.88 ( ( mem @ V5a0 @ A_27a )
% 5.64/5.88 => ! [V6f: $i] :
% 5.64/5.88 ( ( mem @ V6f @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.64/5.88 => ! [V7f0: $i] :
% 5.64/5.88 ( ( mem @ V7f0 @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.64/5.88 => ( ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR1 @ A_27a ) @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Erecordtype_2Esemi__ring @ A_27a ) @ V4a ) @ V5a0 ) @ V6f ) @ V7f0 ) )
% 5.64/5.88 = V5a0 ) ) ) ) )
% 5.64/5.88 & ! [V8a: $i] :
% 5.64/5.88 ( ( mem @ V8a @ A_27a )
% 5.64/5.88 => ! [V9a0: $i] :
% 5.64/5.88 ( ( mem @ V9a0 @ A_27a )
% 5.64/5.88 => ! [V10f: $i] :
% 5.64/5.88 ( ( mem @ V10f @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.64/5.88 => ! [V11f0: $i] :
% 5.64/5.88 ( ( mem @ V11f0 @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.64/5.88 => ( ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRP @ A_27a ) @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Erecordtype_2Esemi__ring @ A_27a ) @ V8a ) @ V9a0 ) @ V10f ) @ V11f0 ) )
% 5.64/5.88 = V10f ) ) ) ) )
% 5.64/5.88 & ! [V12a: $i] :
% 5.64/5.88 ( ( mem @ V12a @ A_27a )
% 5.64/5.88 => ! [V13a0: $i] :
% 5.64/5.88 ( ( mem @ V13a0 @ A_27a )
% 5.64/5.88 => ! [V14f: $i] :
% 5.64/5.88 ( ( mem @ V14f @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.64/5.88 => ! [V15f0: $i] :
% 5.64/5.88 ( ( mem @ V15f0 @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.64/5.88 => ( ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRM @ A_27a ) @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Erecordtype_2Esemi__ring @ A_27a ) @ V12a ) @ V13a0 ) @ V14f ) @ V15f0 ) )
% 5.64/5.88 = V15f0 ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(ax_thm_2Esemi__ring_2Esemi__ring__SR0__fupd,axiom,
% 5.64/5.88 ! [A_27a: del,V0f1: $i] :
% 5.64/5.88 ( ( mem @ V0f1 @ ( arr @ A_27a @ A_27a ) )
% 5.64/5.88 => ! [V1a: $i] :
% 5.64/5.88 ( ( mem @ V1a @ A_27a )
% 5.64/5.88 => ! [V2a0: $i] :
% 5.64/5.88 ( ( mem @ V2a0 @ A_27a )
% 5.64/5.88 => ! [V3f: $i] :
% 5.64/5.88 ( ( mem @ V3f @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.64/5.88 => ! [V4f0: $i] :
% 5.64/5.88 ( ( mem @ V4f0 @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.64/5.88 => ( ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR0__fupd @ A_27a ) @ V0f1 ) @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Erecordtype_2Esemi__ring @ A_27a ) @ V1a ) @ V2a0 ) @ V3f ) @ V4f0 ) )
% 5.64/5.88 = ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Erecordtype_2Esemi__ring @ A_27a ) @ ( ap @ V0f1 @ V1a ) ) @ V2a0 ) @ V3f ) @ V4f0 ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(ax_thm_2Esemi__ring_2Esemi__ring__SR1__fupd,axiom,
% 5.64/5.88 ! [A_27a: del,V0f1: $i] :
% 5.64/5.88 ( ( mem @ V0f1 @ ( arr @ A_27a @ A_27a ) )
% 5.64/5.88 => ! [V1a: $i] :
% 5.64/5.88 ( ( mem @ V1a @ A_27a )
% 5.64/5.88 => ! [V2a0: $i] :
% 5.64/5.88 ( ( mem @ V2a0 @ A_27a )
% 5.64/5.88 => ! [V3f: $i] :
% 5.64/5.88 ( ( mem @ V3f @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.64/5.88 => ! [V4f0: $i] :
% 5.64/5.88 ( ( mem @ V4f0 @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.64/5.88 => ( ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR1__fupd @ A_27a ) @ V0f1 ) @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Erecordtype_2Esemi__ring @ A_27a ) @ V1a ) @ V2a0 ) @ V3f ) @ V4f0 ) )
% 5.64/5.88 = ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Erecordtype_2Esemi__ring @ A_27a ) @ V1a ) @ ( ap @ V0f1 @ V2a0 ) ) @ V3f ) @ V4f0 ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(ax_thm_2Esemi__ring_2Esemi__ring__SRP__fupd,axiom,
% 5.64/5.88 ! [A_27a: del,V0f1: $i] :
% 5.64/5.88 ( ( mem @ V0f1 @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.64/5.88 => ! [V1a: $i] :
% 5.64/5.88 ( ( mem @ V1a @ A_27a )
% 5.64/5.88 => ! [V2a0: $i] :
% 5.64/5.88 ( ( mem @ V2a0 @ A_27a )
% 5.64/5.88 => ! [V3f: $i] :
% 5.64/5.88 ( ( mem @ V3f @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.64/5.88 => ! [V4f0: $i] :
% 5.64/5.88 ( ( mem @ V4f0 @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.64/5.88 => ( ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRP__fupd @ A_27a ) @ V0f1 ) @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Erecordtype_2Esemi__ring @ A_27a ) @ V1a ) @ V2a0 ) @ V3f ) @ V4f0 ) )
% 5.64/5.88 = ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Erecordtype_2Esemi__ring @ A_27a ) @ V1a ) @ V2a0 ) @ ( ap @ V0f1 @ V3f ) ) @ V4f0 ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(ax_thm_2Esemi__ring_2Esemi__ring__SRM__fupd,axiom,
% 5.64/5.88 ! [A_27a: del,V0f1: $i] :
% 5.64/5.88 ( ( mem @ V0f1 @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.64/5.88 => ! [V1a: $i] :
% 5.64/5.88 ( ( mem @ V1a @ A_27a )
% 5.64/5.88 => ! [V2a0: $i] :
% 5.64/5.88 ( ( mem @ V2a0 @ A_27a )
% 5.64/5.88 => ! [V3f: $i] :
% 5.64/5.88 ( ( mem @ V3f @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.64/5.88 => ! [V4f0: $i] :
% 5.64/5.88 ( ( mem @ V4f0 @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.64/5.88 => ( ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRM__fupd @ A_27a ) @ V0f1 ) @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Erecordtype_2Esemi__ring @ A_27a ) @ V1a ) @ V2a0 ) @ V3f ) @ V4f0 ) )
% 5.64/5.88 = ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Erecordtype_2Esemi__ring @ A_27a ) @ V1a ) @ V2a0 ) @ V3f ) @ ( ap @ V0f1 @ V4f0 ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Esemi__ring_2Esemi__ring__fn__updates,axiom,
% 5.64/5.88 ! [A_27a: del] :
% 5.64/5.88 ( ! [V0f1: $i] :
% 5.64/5.88 ( ( mem @ V0f1 @ ( arr @ A_27a @ A_27a ) )
% 5.64/5.88 => ! [V1a: $i] :
% 5.64/5.88 ( ( mem @ V1a @ A_27a )
% 5.64/5.88 => ! [V2a0: $i] :
% 5.64/5.88 ( ( mem @ V2a0 @ A_27a )
% 5.64/5.88 => ! [V3f: $i] :
% 5.64/5.88 ( ( mem @ V3f @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.64/5.88 => ! [V4f0: $i] :
% 5.64/5.88 ( ( mem @ V4f0 @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.64/5.88 => ( ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR0__fupd @ A_27a ) @ V0f1 ) @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Erecordtype_2Esemi__ring @ A_27a ) @ V1a ) @ V2a0 ) @ V3f ) @ V4f0 ) )
% 5.64/5.88 = ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Erecordtype_2Esemi__ring @ A_27a ) @ ( ap @ V0f1 @ V1a ) ) @ V2a0 ) @ V3f ) @ V4f0 ) ) ) ) ) ) )
% 5.64/5.88 & ! [V5f1: $i] :
% 5.64/5.88 ( ( mem @ V5f1 @ ( arr @ A_27a @ A_27a ) )
% 5.64/5.88 => ! [V6a: $i] :
% 5.64/5.88 ( ( mem @ V6a @ A_27a )
% 5.64/5.88 => ! [V7a0: $i] :
% 5.64/5.88 ( ( mem @ V7a0 @ A_27a )
% 5.64/5.88 => ! [V8f: $i] :
% 5.64/5.88 ( ( mem @ V8f @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.64/5.88 => ! [V9f0: $i] :
% 5.64/5.88 ( ( mem @ V9f0 @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.64/5.88 => ( ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR1__fupd @ A_27a ) @ V5f1 ) @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Erecordtype_2Esemi__ring @ A_27a ) @ V6a ) @ V7a0 ) @ V8f ) @ V9f0 ) )
% 5.64/5.88 = ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Erecordtype_2Esemi__ring @ A_27a ) @ V6a ) @ ( ap @ V5f1 @ V7a0 ) ) @ V8f ) @ V9f0 ) ) ) ) ) ) )
% 5.64/5.88 & ! [V10f1: $i] :
% 5.64/5.88 ( ( mem @ V10f1 @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.64/5.88 => ! [V11a: $i] :
% 5.64/5.88 ( ( mem @ V11a @ A_27a )
% 5.64/5.88 => ! [V12a0: $i] :
% 5.64/5.88 ( ( mem @ V12a0 @ A_27a )
% 5.64/5.88 => ! [V13f: $i] :
% 5.64/5.88 ( ( mem @ V13f @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.64/5.88 => ! [V14f0: $i] :
% 5.64/5.88 ( ( mem @ V14f0 @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.64/5.88 => ( ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRP__fupd @ A_27a ) @ V10f1 ) @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Erecordtype_2Esemi__ring @ A_27a ) @ V11a ) @ V12a0 ) @ V13f ) @ V14f0 ) )
% 5.64/5.88 = ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Erecordtype_2Esemi__ring @ A_27a ) @ V11a ) @ V12a0 ) @ ( ap @ V10f1 @ V13f ) ) @ V14f0 ) ) ) ) ) ) )
% 5.64/5.88 & ! [V15f1: $i] :
% 5.64/5.88 ( ( mem @ V15f1 @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.64/5.88 => ! [V16a: $i] :
% 5.64/5.88 ( ( mem @ V16a @ A_27a )
% 5.64/5.88 => ! [V17a0: $i] :
% 5.64/5.88 ( ( mem @ V17a0 @ A_27a )
% 5.64/5.88 => ! [V18f: $i] :
% 5.64/5.88 ( ( mem @ V18f @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.64/5.88 => ! [V19f0: $i] :
% 5.64/5.88 ( ( mem @ V19f0 @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.64/5.88 => ( ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRM__fupd @ A_27a ) @ V15f1 ) @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Erecordtype_2Esemi__ring @ A_27a ) @ V16a ) @ V17a0 ) @ V18f ) @ V19f0 ) )
% 5.64/5.88 = ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Erecordtype_2Esemi__ring @ A_27a ) @ V16a ) @ V17a0 ) @ V18f ) @ ( ap @ V15f1 @ V19f0 ) ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Esemi__ring_2Esemi__ring__accfupds,axiom,
% 5.64/5.88 ! [A_27a: del] :
% 5.64/5.88 ( ! [V0s: $i] :
% 5.64/5.88 ( ( mem @ V0s @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) )
% 5.64/5.88 => ! [V1f: $i] :
% 5.64/5.88 ( ( mem @ V1f @ ( arr @ A_27a @ A_27a ) )
% 5.64/5.88 => ( ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR0 @ A_27a ) @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR1__fupd @ A_27a ) @ V1f ) @ V0s ) )
% 5.64/5.88 = ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR0 @ A_27a ) @ V0s ) ) ) )
% 5.64/5.88 & ! [V2s: $i] :
% 5.64/5.88 ( ( mem @ V2s @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) )
% 5.64/5.88 => ! [V3f: $i] :
% 5.64/5.88 ( ( mem @ V3f @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.64/5.88 => ( ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR0 @ A_27a ) @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRP__fupd @ A_27a ) @ V3f ) @ V2s ) )
% 5.64/5.88 = ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR0 @ A_27a ) @ V2s ) ) ) )
% 5.64/5.88 & ! [V4s: $i] :
% 5.64/5.88 ( ( mem @ V4s @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) )
% 5.64/5.88 => ! [V5f: $i] :
% 5.64/5.88 ( ( mem @ V5f @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.64/5.88 => ( ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR0 @ A_27a ) @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRM__fupd @ A_27a ) @ V5f ) @ V4s ) )
% 5.64/5.88 = ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR0 @ A_27a ) @ V4s ) ) ) )
% 5.64/5.88 & ! [V6s: $i] :
% 5.64/5.88 ( ( mem @ V6s @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) )
% 5.64/5.88 => ! [V7f: $i] :
% 5.64/5.88 ( ( mem @ V7f @ ( arr @ A_27a @ A_27a ) )
% 5.64/5.88 => ( ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR1 @ A_27a ) @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR0__fupd @ A_27a ) @ V7f ) @ V6s ) )
% 5.64/5.88 = ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR1 @ A_27a ) @ V6s ) ) ) )
% 5.64/5.88 & ! [V8s: $i] :
% 5.64/5.88 ( ( mem @ V8s @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) )
% 5.64/5.88 => ! [V9f: $i] :
% 5.64/5.88 ( ( mem @ V9f @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.64/5.88 => ( ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR1 @ A_27a ) @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRP__fupd @ A_27a ) @ V9f ) @ V8s ) )
% 5.64/5.88 = ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR1 @ A_27a ) @ V8s ) ) ) )
% 5.64/5.88 & ! [V10s: $i] :
% 5.64/5.88 ( ( mem @ V10s @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) )
% 5.64/5.88 => ! [V11f: $i] :
% 5.64/5.88 ( ( mem @ V11f @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.64/5.88 => ( ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR1 @ A_27a ) @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRM__fupd @ A_27a ) @ V11f ) @ V10s ) )
% 5.64/5.88 = ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR1 @ A_27a ) @ V10s ) ) ) )
% 5.64/5.88 & ! [V12s: $i] :
% 5.64/5.88 ( ( mem @ V12s @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) )
% 5.64/5.88 => ! [V13f: $i] :
% 5.64/5.88 ( ( mem @ V13f @ ( arr @ A_27a @ A_27a ) )
% 5.64/5.88 => ( ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRP @ A_27a ) @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR0__fupd @ A_27a ) @ V13f ) @ V12s ) )
% 5.64/5.88 = ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRP @ A_27a ) @ V12s ) ) ) )
% 5.64/5.88 & ! [V14s: $i] :
% 5.64/5.88 ( ( mem @ V14s @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) )
% 5.64/5.88 => ! [V15f: $i] :
% 5.64/5.88 ( ( mem @ V15f @ ( arr @ A_27a @ A_27a ) )
% 5.64/5.88 => ( ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRP @ A_27a ) @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR1__fupd @ A_27a ) @ V15f ) @ V14s ) )
% 5.64/5.88 = ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRP @ A_27a ) @ V14s ) ) ) )
% 5.64/5.88 & ! [V16s: $i] :
% 5.64/5.88 ( ( mem @ V16s @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) )
% 5.64/5.88 => ! [V17f: $i] :
% 5.64/5.88 ( ( mem @ V17f @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.64/5.88 => ( ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRP @ A_27a ) @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRM__fupd @ A_27a ) @ V17f ) @ V16s ) )
% 5.64/5.88 = ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRP @ A_27a ) @ V16s ) ) ) )
% 5.64/5.88 & ! [V18s: $i] :
% 5.64/5.88 ( ( mem @ V18s @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) )
% 5.64/5.88 => ! [V19f: $i] :
% 5.64/5.88 ( ( mem @ V19f @ ( arr @ A_27a @ A_27a ) )
% 5.64/5.88 => ( ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRM @ A_27a ) @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR0__fupd @ A_27a ) @ V19f ) @ V18s ) )
% 5.64/5.88 = ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRM @ A_27a ) @ V18s ) ) ) )
% 5.64/5.88 & ! [V20s: $i] :
% 5.64/5.88 ( ( mem @ V20s @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) )
% 5.64/5.88 => ! [V21f: $i] :
% 5.64/5.88 ( ( mem @ V21f @ ( arr @ A_27a @ A_27a ) )
% 5.64/5.88 => ( ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRM @ A_27a ) @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR1__fupd @ A_27a ) @ V21f ) @ V20s ) )
% 5.64/5.88 = ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRM @ A_27a ) @ V20s ) ) ) )
% 5.64/5.88 & ! [V22s: $i] :
% 5.64/5.88 ( ( mem @ V22s @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) )
% 5.64/5.88 => ! [V23f: $i] :
% 5.64/5.88 ( ( mem @ V23f @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.64/5.88 => ( ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRM @ A_27a ) @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRP__fupd @ A_27a ) @ V23f ) @ V22s ) )
% 5.64/5.88 = ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRM @ A_27a ) @ V22s ) ) ) )
% 5.64/5.88 & ! [V24s: $i] :
% 5.64/5.88 ( ( mem @ V24s @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) )
% 5.64/5.88 => ! [V25f: $i] :
% 5.64/5.88 ( ( mem @ V25f @ ( arr @ A_27a @ A_27a ) )
% 5.64/5.88 => ( ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR0 @ A_27a ) @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR0__fupd @ A_27a ) @ V25f ) @ V24s ) )
% 5.64/5.88 = ( ap @ V25f @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR0 @ A_27a ) @ V24s ) ) ) ) )
% 5.64/5.88 & ! [V26s: $i] :
% 5.64/5.88 ( ( mem @ V26s @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) )
% 5.64/5.88 => ! [V27f: $i] :
% 5.64/5.88 ( ( mem @ V27f @ ( arr @ A_27a @ A_27a ) )
% 5.64/5.88 => ( ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR1 @ A_27a ) @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR1__fupd @ A_27a ) @ V27f ) @ V26s ) )
% 5.64/5.88 = ( ap @ V27f @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR1 @ A_27a ) @ V26s ) ) ) ) )
% 5.64/5.88 & ! [V28s: $i] :
% 5.64/5.88 ( ( mem @ V28s @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) )
% 5.64/5.88 => ! [V29f: $i] :
% 5.64/5.88 ( ( mem @ V29f @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.64/5.88 => ( ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRP @ A_27a ) @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRP__fupd @ A_27a ) @ V29f ) @ V28s ) )
% 5.64/5.88 = ( ap @ V29f @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRP @ A_27a ) @ V28s ) ) ) ) )
% 5.64/5.88 & ! [V30s: $i] :
% 5.64/5.88 ( ( mem @ V30s @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) )
% 5.64/5.88 => ! [V31f: $i] :
% 5.64/5.88 ( ( mem @ V31f @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.64/5.88 => ( ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRM @ A_27a ) @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRM__fupd @ A_27a ) @ V31f ) @ V30s ) )
% 5.64/5.88 = ( ap @ V31f @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRM @ A_27a ) @ V30s ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Esemi__ring_2Esemi__ring__fupdfupds,axiom,
% 5.64/5.88 ! [A_27a: del] :
% 5.64/5.88 ( ! [V0s: $i] :
% 5.64/5.88 ( ( mem @ V0s @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) )
% 5.64/5.88 => ! [V1g: $i] :
% 5.64/5.88 ( ( mem @ V1g @ ( arr @ A_27a @ A_27a ) )
% 5.64/5.88 => ! [V2f: $i] :
% 5.64/5.88 ( ( mem @ V2f @ ( arr @ A_27a @ A_27a ) )
% 5.64/5.88 => ( ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR0__fupd @ A_27a ) @ V2f ) @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR0__fupd @ A_27a ) @ V1g ) @ V0s ) )
% 5.64/5.88 = ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR0__fupd @ A_27a ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27a @ A_27a @ A_27a ) @ V2f ) @ V1g ) ) @ V0s ) ) ) ) )
% 5.64/5.88 & ! [V3s: $i] :
% 5.64/5.88 ( ( mem @ V3s @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) )
% 5.64/5.88 => ! [V4g: $i] :
% 5.64/5.88 ( ( mem @ V4g @ ( arr @ A_27a @ A_27a ) )
% 5.64/5.88 => ! [V5f: $i] :
% 5.64/5.88 ( ( mem @ V5f @ ( arr @ A_27a @ A_27a ) )
% 5.64/5.88 => ( ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR1__fupd @ A_27a ) @ V5f ) @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR1__fupd @ A_27a ) @ V4g ) @ V3s ) )
% 5.64/5.88 = ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR1__fupd @ A_27a ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27a @ A_27a @ A_27a ) @ V5f ) @ V4g ) ) @ V3s ) ) ) ) )
% 5.64/5.88 & ! [V6s: $i] :
% 5.64/5.88 ( ( mem @ V6s @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) )
% 5.64/5.88 => ! [V7g: $i] :
% 5.64/5.88 ( ( mem @ V7g @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.64/5.88 => ! [V8f: $i] :
% 5.64/5.88 ( ( mem @ V8f @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.64/5.88 => ( ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRP__fupd @ A_27a ) @ V8f ) @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRP__fupd @ A_27a ) @ V7g ) @ V6s ) )
% 5.64/5.88 = ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRP__fupd @ A_27a ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) @ V8f ) @ V7g ) ) @ V6s ) ) ) ) )
% 5.64/5.88 & ! [V9s: $i] :
% 5.64/5.88 ( ( mem @ V9s @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) )
% 5.64/5.88 => ! [V10g: $i] :
% 5.64/5.88 ( ( mem @ V10g @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.64/5.88 => ! [V11f: $i] :
% 5.64/5.88 ( ( mem @ V11f @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.64/5.88 => ( ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRM__fupd @ A_27a ) @ V11f ) @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRM__fupd @ A_27a ) @ V10g ) @ V9s ) )
% 5.64/5.88 = ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRM__fupd @ A_27a ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) @ V11f ) @ V10g ) ) @ V9s ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Esemi__ring_2Esemi__ring__fupdfupds__comp,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del] :
% 5.64/5.88 ( ! [V0g: $i] :
% 5.64/5.88 ( ( mem @ V0g @ ( arr @ A_27a @ A_27a ) )
% 5.64/5.88 => ! [V1f: $i] :
% 5.64/5.88 ( ( mem @ V1f @ ( arr @ A_27a @ A_27a ) )
% 5.64/5.88 => ( ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) ) @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR0__fupd @ A_27a ) @ V1f ) ) @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR0__fupd @ A_27a ) @ V0g ) )
% 5.64/5.88 = ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR0__fupd @ A_27a ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27a @ A_27a @ A_27a ) @ V1f ) @ V0g ) ) ) ) )
% 5.64/5.88 & ! [V2h: $i] :
% 5.64/5.88 ( ( mem @ V2h @ ( arr @ A_27b @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) ) )
% 5.64/5.88 => ! [V3g: $i] :
% 5.64/5.88 ( ( mem @ V3g @ ( arr @ A_27a @ A_27a ) )
% 5.64/5.88 => ! [V4f: $i] :
% 5.64/5.88 ( ( mem @ V4f @ ( arr @ A_27a @ A_27a ) )
% 5.64/5.88 => ( ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) ) @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR0__fupd @ A_27a ) @ V4f ) ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) ) @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR0__fupd @ A_27a ) @ V3g ) ) @ V2h ) )
% 5.64/5.88 = ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) ) @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR0__fupd @ A_27a ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27a @ A_27a @ A_27a ) @ V4f ) @ V3g ) ) ) @ V2h ) ) ) ) )
% 5.64/5.88 & ! [V5g: $i] :
% 5.64/5.88 ( ( mem @ V5g @ ( arr @ A_27a @ A_27a ) )
% 5.64/5.88 => ! [V6f: $i] :
% 5.64/5.88 ( ( mem @ V6f @ ( arr @ A_27a @ A_27a ) )
% 5.64/5.88 => ( ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) ) @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR1__fupd @ A_27a ) @ V6f ) ) @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR1__fupd @ A_27a ) @ V5g ) )
% 5.64/5.88 = ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR1__fupd @ A_27a ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27a @ A_27a @ A_27a ) @ V6f ) @ V5g ) ) ) ) )
% 5.64/5.88 & ! [V7h: $i] :
% 5.64/5.88 ( ( mem @ V7h @ ( arr @ A_27b @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) ) )
% 5.64/5.88 => ! [V8g: $i] :
% 5.64/5.88 ( ( mem @ V8g @ ( arr @ A_27a @ A_27a ) )
% 5.64/5.88 => ! [V9f: $i] :
% 5.64/5.88 ( ( mem @ V9f @ ( arr @ A_27a @ A_27a ) )
% 5.64/5.88 => ( ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) ) @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR1__fupd @ A_27a ) @ V9f ) ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) ) @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR1__fupd @ A_27a ) @ V8g ) ) @ V7h ) )
% 5.64/5.88 = ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) ) @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR1__fupd @ A_27a ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27a @ A_27a @ A_27a ) @ V9f ) @ V8g ) ) ) @ V7h ) ) ) ) )
% 5.64/5.88 & ! [V10g: $i] :
% 5.64/5.88 ( ( mem @ V10g @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.64/5.88 => ! [V11f: $i] :
% 5.64/5.88 ( ( mem @ V11f @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.64/5.88 => ( ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) ) @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRP__fupd @ A_27a ) @ V11f ) ) @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRP__fupd @ A_27a ) @ V10g ) )
% 5.64/5.88 = ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRP__fupd @ A_27a ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) @ V11f ) @ V10g ) ) ) ) )
% 5.64/5.88 & ! [V12h: $i] :
% 5.64/5.88 ( ( mem @ V12h @ ( arr @ A_27b @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) ) )
% 5.64/5.88 => ! [V13g: $i] :
% 5.64/5.88 ( ( mem @ V13g @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.64/5.88 => ! [V14f: $i] :
% 5.64/5.88 ( ( mem @ V14f @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.64/5.88 => ( ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) ) @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRP__fupd @ A_27a ) @ V14f ) ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) ) @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRP__fupd @ A_27a ) @ V13g ) ) @ V12h ) )
% 5.64/5.88 = ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) ) @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRP__fupd @ A_27a ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) @ V14f ) @ V13g ) ) ) @ V12h ) ) ) ) )
% 5.64/5.88 & ! [V15g: $i] :
% 5.64/5.88 ( ( mem @ V15g @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.64/5.88 => ! [V16f: $i] :
% 5.64/5.88 ( ( mem @ V16f @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.64/5.88 => ( ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) ) @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRM__fupd @ A_27a ) @ V16f ) ) @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRM__fupd @ A_27a ) @ V15g ) )
% 5.64/5.88 = ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRM__fupd @ A_27a ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) @ V16f ) @ V15g ) ) ) ) )
% 5.64/5.88 & ! [V17h: $i] :
% 5.64/5.88 ( ( mem @ V17h @ ( arr @ A_27b @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) ) )
% 5.64/5.88 => ! [V18g: $i] :
% 5.64/5.88 ( ( mem @ V18g @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.64/5.88 => ! [V19f: $i] :
% 5.64/5.88 ( ( mem @ V19f @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.64/5.88 => ( ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) ) @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRM__fupd @ A_27a ) @ V19f ) ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) ) @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRM__fupd @ A_27a ) @ V18g ) ) @ V17h ) )
% 5.64/5.88 = ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) ) @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRM__fupd @ A_27a ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) @ V19f ) @ V18g ) ) ) @ V17h ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Esemi__ring_2Esemi__ring__fupdcanon,axiom,
% 5.64/5.88 ! [A_27a: del] :
% 5.64/5.88 ( ! [V0s: $i] :
% 5.64/5.88 ( ( mem @ V0s @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) )
% 5.64/5.88 => ! [V1g: $i] :
% 5.64/5.88 ( ( mem @ V1g @ ( arr @ A_27a @ A_27a ) )
% 5.64/5.88 => ! [V2f: $i] :
% 5.64/5.88 ( ( mem @ V2f @ ( arr @ A_27a @ A_27a ) )
% 5.64/5.88 => ( ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR1__fupd @ A_27a ) @ V2f ) @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR0__fupd @ A_27a ) @ V1g ) @ V0s ) )
% 5.64/5.88 = ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR0__fupd @ A_27a ) @ V1g ) @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR1__fupd @ A_27a ) @ V2f ) @ V0s ) ) ) ) ) )
% 5.64/5.88 & ! [V3s: $i] :
% 5.64/5.88 ( ( mem @ V3s @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) )
% 5.64/5.88 => ! [V4g: $i] :
% 5.64/5.88 ( ( mem @ V4g @ ( arr @ A_27a @ A_27a ) )
% 5.64/5.88 => ! [V5f: $i] :
% 5.64/5.88 ( ( mem @ V5f @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.64/5.88 => ( ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRP__fupd @ A_27a ) @ V5f ) @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR0__fupd @ A_27a ) @ V4g ) @ V3s ) )
% 5.64/5.88 = ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR0__fupd @ A_27a ) @ V4g ) @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRP__fupd @ A_27a ) @ V5f ) @ V3s ) ) ) ) ) )
% 5.64/5.88 & ! [V6s: $i] :
% 5.64/5.88 ( ( mem @ V6s @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) )
% 5.64/5.88 => ! [V7g: $i] :
% 5.64/5.88 ( ( mem @ V7g @ ( arr @ A_27a @ A_27a ) )
% 5.64/5.88 => ! [V8f: $i] :
% 5.64/5.88 ( ( mem @ V8f @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.64/5.88 => ( ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRP__fupd @ A_27a ) @ V8f ) @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR1__fupd @ A_27a ) @ V7g ) @ V6s ) )
% 5.64/5.88 = ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR1__fupd @ A_27a ) @ V7g ) @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRP__fupd @ A_27a ) @ V8f ) @ V6s ) ) ) ) ) )
% 5.64/5.88 & ! [V9s: $i] :
% 5.64/5.88 ( ( mem @ V9s @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) )
% 5.64/5.88 => ! [V10g: $i] :
% 5.64/5.88 ( ( mem @ V10g @ ( arr @ A_27a @ A_27a ) )
% 5.64/5.88 => ! [V11f: $i] :
% 5.64/5.88 ( ( mem @ V11f @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.64/5.88 => ( ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRM__fupd @ A_27a ) @ V11f ) @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR0__fupd @ A_27a ) @ V10g ) @ V9s ) )
% 5.64/5.88 = ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR0__fupd @ A_27a ) @ V10g ) @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRM__fupd @ A_27a ) @ V11f ) @ V9s ) ) ) ) ) )
% 5.64/5.88 & ! [V12s: $i] :
% 5.64/5.88 ( ( mem @ V12s @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) )
% 5.64/5.88 => ! [V13g: $i] :
% 5.64/5.88 ( ( mem @ V13g @ ( arr @ A_27a @ A_27a ) )
% 5.64/5.88 => ! [V14f: $i] :
% 5.64/5.88 ( ( mem @ V14f @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.64/5.88 => ( ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRM__fupd @ A_27a ) @ V14f ) @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR1__fupd @ A_27a ) @ V13g ) @ V12s ) )
% 5.64/5.88 = ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR1__fupd @ A_27a ) @ V13g ) @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRM__fupd @ A_27a ) @ V14f ) @ V12s ) ) ) ) ) )
% 5.64/5.88 & ! [V15s: $i] :
% 5.64/5.88 ( ( mem @ V15s @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) )
% 5.64/5.88 => ! [V16g: $i] :
% 5.64/5.88 ( ( mem @ V16g @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.64/5.88 => ! [V17f: $i] :
% 5.64/5.88 ( ( mem @ V17f @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.64/5.88 => ( ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRM__fupd @ A_27a ) @ V17f ) @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRP__fupd @ A_27a ) @ V16g ) @ V15s ) )
% 5.64/5.88 = ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRP__fupd @ A_27a ) @ V16g ) @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRM__fupd @ A_27a ) @ V17f ) @ V15s ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Esemi__ring_2Esemi__ring__fupdcanon__comp,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del] :
% 5.64/5.88 ( ! [V0g: $i] :
% 5.64/5.88 ( ( mem @ V0g @ ( arr @ A_27a @ A_27a ) )
% 5.64/5.88 => ! [V1f: $i] :
% 5.64/5.88 ( ( mem @ V1f @ ( arr @ A_27a @ A_27a ) )
% 5.64/5.88 => ( ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) ) @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR1__fupd @ A_27a ) @ V1f ) ) @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR0__fupd @ A_27a ) @ V0g ) )
% 5.64/5.88 = ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) ) @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR0__fupd @ A_27a ) @ V0g ) ) @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR1__fupd @ A_27a ) @ V1f ) ) ) ) )
% 5.64/5.88 & ! [V2h: $i] :
% 5.64/5.88 ( ( mem @ V2h @ ( arr @ A_27b @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) ) )
% 5.64/5.88 => ! [V3g: $i] :
% 5.64/5.88 ( ( mem @ V3g @ ( arr @ A_27a @ A_27a ) )
% 5.64/5.88 => ! [V4f: $i] :
% 5.64/5.88 ( ( mem @ V4f @ ( arr @ A_27a @ A_27a ) )
% 5.64/5.88 => ( ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) ) @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR1__fupd @ A_27a ) @ V4f ) ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) ) @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR0__fupd @ A_27a ) @ V3g ) ) @ V2h ) )
% 5.64/5.88 = ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) ) @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR0__fupd @ A_27a ) @ V3g ) ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) ) @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR1__fupd @ A_27a ) @ V4f ) ) @ V2h ) ) ) ) ) )
% 5.64/5.88 & ! [V5g: $i] :
% 5.64/5.88 ( ( mem @ V5g @ ( arr @ A_27a @ A_27a ) )
% 5.64/5.88 => ! [V6f: $i] :
% 5.64/5.88 ( ( mem @ V6f @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.64/5.88 => ( ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) ) @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRP__fupd @ A_27a ) @ V6f ) ) @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR0__fupd @ A_27a ) @ V5g ) )
% 5.64/5.88 = ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) ) @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR0__fupd @ A_27a ) @ V5g ) ) @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRP__fupd @ A_27a ) @ V6f ) ) ) ) )
% 5.64/5.88 & ! [V7h: $i] :
% 5.64/5.88 ( ( mem @ V7h @ ( arr @ A_27b @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) ) )
% 5.64/5.88 => ! [V8g: $i] :
% 5.64/5.88 ( ( mem @ V8g @ ( arr @ A_27a @ A_27a ) )
% 5.64/5.88 => ! [V9f: $i] :
% 5.64/5.88 ( ( mem @ V9f @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.64/5.88 => ( ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) ) @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRP__fupd @ A_27a ) @ V9f ) ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) ) @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR0__fupd @ A_27a ) @ V8g ) ) @ V7h ) )
% 5.64/5.88 = ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) ) @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR0__fupd @ A_27a ) @ V8g ) ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) ) @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRP__fupd @ A_27a ) @ V9f ) ) @ V7h ) ) ) ) ) )
% 5.64/5.88 & ! [V10g: $i] :
% 5.64/5.88 ( ( mem @ V10g @ ( arr @ A_27a @ A_27a ) )
% 5.64/5.88 => ! [V11f: $i] :
% 5.64/5.88 ( ( mem @ V11f @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.64/5.88 => ( ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) ) @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRP__fupd @ A_27a ) @ V11f ) ) @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR1__fupd @ A_27a ) @ V10g ) )
% 5.64/5.88 = ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) ) @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR1__fupd @ A_27a ) @ V10g ) ) @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRP__fupd @ A_27a ) @ V11f ) ) ) ) )
% 5.64/5.88 & ! [V12h: $i] :
% 5.64/5.88 ( ( mem @ V12h @ ( arr @ A_27b @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) ) )
% 5.64/5.88 => ! [V13g: $i] :
% 5.64/5.88 ( ( mem @ V13g @ ( arr @ A_27a @ A_27a ) )
% 5.64/5.88 => ! [V14f: $i] :
% 5.64/5.88 ( ( mem @ V14f @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.64/5.88 => ( ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) ) @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRP__fupd @ A_27a ) @ V14f ) ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) ) @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR1__fupd @ A_27a ) @ V13g ) ) @ V12h ) )
% 5.64/5.88 = ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) ) @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR1__fupd @ A_27a ) @ V13g ) ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) ) @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRP__fupd @ A_27a ) @ V14f ) ) @ V12h ) ) ) ) ) )
% 5.64/5.88 & ! [V15g: $i] :
% 5.64/5.88 ( ( mem @ V15g @ ( arr @ A_27a @ A_27a ) )
% 5.64/5.88 => ! [V16f: $i] :
% 5.64/5.88 ( ( mem @ V16f @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.64/5.88 => ( ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) ) @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRM__fupd @ A_27a ) @ V16f ) ) @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR0__fupd @ A_27a ) @ V15g ) )
% 5.64/5.88 = ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) ) @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR0__fupd @ A_27a ) @ V15g ) ) @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRM__fupd @ A_27a ) @ V16f ) ) ) ) )
% 5.64/5.88 & ! [V17h: $i] :
% 5.64/5.88 ( ( mem @ V17h @ ( arr @ A_27b @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) ) )
% 5.64/5.88 => ! [V18g: $i] :
% 5.64/5.88 ( ( mem @ V18g @ ( arr @ A_27a @ A_27a ) )
% 5.64/5.88 => ! [V19f: $i] :
% 5.64/5.88 ( ( mem @ V19f @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.64/5.88 => ( ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) ) @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRM__fupd @ A_27a ) @ V19f ) ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) ) @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR0__fupd @ A_27a ) @ V18g ) ) @ V17h ) )
% 5.64/5.88 = ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) ) @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR0__fupd @ A_27a ) @ V18g ) ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) ) @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRM__fupd @ A_27a ) @ V19f ) ) @ V17h ) ) ) ) ) )
% 5.64/5.88 & ! [V20g: $i] :
% 5.64/5.88 ( ( mem @ V20g @ ( arr @ A_27a @ A_27a ) )
% 5.64/5.88 => ! [V21f: $i] :
% 5.64/5.88 ( ( mem @ V21f @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.64/5.88 => ( ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) ) @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRM__fupd @ A_27a ) @ V21f ) ) @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR1__fupd @ A_27a ) @ V20g ) )
% 5.64/5.88 = ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) ) @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR1__fupd @ A_27a ) @ V20g ) ) @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRM__fupd @ A_27a ) @ V21f ) ) ) ) )
% 5.64/5.88 & ! [V22h: $i] :
% 5.64/5.88 ( ( mem @ V22h @ ( arr @ A_27b @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) ) )
% 5.64/5.88 => ! [V23g: $i] :
% 5.64/5.88 ( ( mem @ V23g @ ( arr @ A_27a @ A_27a ) )
% 5.64/5.88 => ! [V24f: $i] :
% 5.64/5.88 ( ( mem @ V24f @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.64/5.88 => ( ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) ) @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRM__fupd @ A_27a ) @ V24f ) ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) ) @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR1__fupd @ A_27a ) @ V23g ) ) @ V22h ) )
% 5.64/5.88 = ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) ) @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR1__fupd @ A_27a ) @ V23g ) ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) ) @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRM__fupd @ A_27a ) @ V24f ) ) @ V22h ) ) ) ) ) )
% 5.64/5.88 & ! [V25g: $i] :
% 5.64/5.88 ( ( mem @ V25g @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.64/5.88 => ! [V26f: $i] :
% 5.64/5.88 ( ( mem @ V26f @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.64/5.88 => ( ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) ) @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRM__fupd @ A_27a ) @ V26f ) ) @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRP__fupd @ A_27a ) @ V25g ) )
% 5.64/5.88 = ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) ) @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRP__fupd @ A_27a ) @ V25g ) ) @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRM__fupd @ A_27a ) @ V26f ) ) ) ) )
% 5.64/5.88 & ! [V27h: $i] :
% 5.64/5.88 ( ( mem @ V27h @ ( arr @ A_27b @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) ) )
% 5.64/5.88 => ! [V28g: $i] :
% 5.64/5.88 ( ( mem @ V28g @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.64/5.88 => ! [V29f: $i] :
% 5.64/5.88 ( ( mem @ V29f @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.64/5.88 => ( ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) ) @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRM__fupd @ A_27a ) @ V29f ) ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) ) @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRP__fupd @ A_27a ) @ V28g ) ) @ V27h ) )
% 5.64/5.88 = ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) ) @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRP__fupd @ A_27a ) @ V28g ) ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) ) @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRM__fupd @ A_27a ) @ V29f ) ) @ V27h ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Esemi__ring_2Esemi__ring__component__equality,axiom,
% 5.64/5.88 ! [A_27a: del,V0s1: $i] :
% 5.64/5.88 ( ( mem @ V0s1 @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) )
% 5.64/5.88 => ! [V1s2: $i] :
% 5.64/5.88 ( ( mem @ V1s2 @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) )
% 5.64/5.88 => ( ( V0s1 = V1s2 )
% 5.64/5.88 <=> ( ( ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR0 @ A_27a ) @ V0s1 )
% 5.64/5.88 = ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR0 @ A_27a ) @ V1s2 ) )
% 5.64/5.88 & ( ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR1 @ A_27a ) @ V0s1 )
% 5.64/5.88 = ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR1 @ A_27a ) @ V1s2 ) )
% 5.64/5.88 & ( ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRP @ A_27a ) @ V0s1 )
% 5.64/5.88 = ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRP @ A_27a ) @ V1s2 ) )
% 5.64/5.88 & ( ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRM @ A_27a ) @ V0s1 )
% 5.64/5.88 = ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRM @ A_27a ) @ V1s2 ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Esemi__ring_2Esemi__ring__updates__eq__literal,axiom,
% 5.64/5.88 ! [A_27a: del,V0s: $i] :
% 5.64/5.88 ( ( mem @ V0s @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) )
% 5.64/5.88 => ! [V1a0: $i] :
% 5.64/5.88 ( ( mem @ V1a0 @ A_27a )
% 5.64/5.88 => ! [V2a: $i] :
% 5.64/5.88 ( ( mem @ V2a @ A_27a )
% 5.64/5.88 => ! [V3f0: $i] :
% 5.64/5.88 ( ( mem @ V3f0 @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.64/5.88 => ! [V4f: $i] :
% 5.64/5.88 ( ( mem @ V4f @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.64/5.88 => ( ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR0__fupd @ A_27a ) @ ( ap @ ( c_2Ecombin_2EK @ A_27a @ A_27a ) @ V1a0 ) ) @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR1__fupd @ A_27a ) @ ( ap @ ( c_2Ecombin_2EK @ A_27a @ A_27a ) @ V2a ) ) @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRP__fupd @ A_27a ) @ ( ap @ ( c_2Ecombin_2EK @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) @ V3f0 ) ) @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRM__fupd @ A_27a ) @ ( ap @ ( c_2Ecombin_2EK @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) @ V4f ) ) @ V0s ) ) ) )
% 5.64/5.88 = ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR0__fupd @ A_27a ) @ ( ap @ ( c_2Ecombin_2EK @ A_27a @ A_27a ) @ V1a0 ) ) @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR1__fupd @ A_27a ) @ ( ap @ ( c_2Ecombin_2EK @ A_27a @ A_27a ) @ V2a ) ) @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRP__fupd @ A_27a ) @ ( ap @ ( c_2Ecombin_2EK @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) @ V3f0 ) ) @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRM__fupd @ A_27a ) @ ( ap @ ( c_2Ecombin_2EK @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) @ V4f ) ) @ ( c_2Ebool_2EARB @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Esemi__ring_2Esemi__ring__literal__nchotomy,axiom,
% 5.64/5.88 ! [A_27a: del,V0s: $i] :
% 5.64/5.88 ( ( mem @ V0s @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) )
% 5.64/5.88 => ? [V1a0: $i] :
% 5.64/5.88 ( ( mem @ V1a0 @ A_27a )
% 5.64/5.88 & ? [V2a: $i] :
% 5.64/5.88 ( ( mem @ V2a @ A_27a )
% 5.64/5.88 & ? [V3f0: $i] :
% 5.64/5.88 ( ( mem @ V3f0 @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.64/5.88 & ? [V4f: $i] :
% 5.64/5.88 ( ( mem @ V4f @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.64/5.88 & ( V0s
% 5.64/5.88 = ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR0__fupd @ A_27a ) @ ( ap @ ( c_2Ecombin_2EK @ A_27a @ A_27a ) @ V1a0 ) ) @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR1__fupd @ A_27a ) @ ( ap @ ( c_2Ecombin_2EK @ A_27a @ A_27a ) @ V2a ) ) @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRP__fupd @ A_27a ) @ ( ap @ ( c_2Ecombin_2EK @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) @ V3f0 ) ) @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRM__fupd @ A_27a ) @ ( ap @ ( c_2Ecombin_2EK @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) @ V4f ) ) @ ( c_2Ebool_2EARB @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Esemi__ring_2EFORALL__semi__ring,axiom,
% 5.64/5.88 ! [A_27a: del,V0P: $i] :
% 5.64/5.88 ( ( mem @ V0P @ ( arr @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) @ bool ) )
% 5.64/5.88 => ( ! [V1s: $i] :
% 5.64/5.88 ( ( mem @ V1s @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) )
% 5.64/5.88 => ( p @ ( ap @ V0P @ V1s ) ) )
% 5.64/5.88 <=> ! [V2a0: $i] :
% 5.64/5.88 ( ( mem @ V2a0 @ A_27a )
% 5.64/5.88 => ! [V3a: $i] :
% 5.64/5.88 ( ( mem @ V3a @ A_27a )
% 5.64/5.88 => ! [V4f0: $i] :
% 5.64/5.88 ( ( mem @ V4f0 @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.64/5.88 => ! [V5f: $i] :
% 5.64/5.88 ( ( mem @ V5f @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.64/5.88 => ( p @ ( ap @ V0P @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR0__fupd @ A_27a ) @ ( ap @ ( c_2Ecombin_2EK @ A_27a @ A_27a ) @ V2a0 ) ) @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR1__fupd @ A_27a ) @ ( ap @ ( c_2Ecombin_2EK @ A_27a @ A_27a ) @ V3a ) ) @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRP__fupd @ A_27a ) @ ( ap @ ( c_2Ecombin_2EK @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) @ V4f0 ) ) @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRM__fupd @ A_27a ) @ ( ap @ ( c_2Ecombin_2EK @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) @ V5f ) ) @ ( c_2Ebool_2EARB @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Esemi__ring_2EEXISTS__semi__ring,axiom,
% 5.64/5.88 ! [A_27a: del,V0P: $i] :
% 5.64/5.88 ( ( mem @ V0P @ ( arr @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) @ bool ) )
% 5.64/5.88 => ( ? [V1s: $i] :
% 5.64/5.88 ( ( mem @ V1s @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) )
% 5.64/5.88 & ( p @ ( ap @ V0P @ V1s ) ) )
% 5.64/5.88 <=> ? [V2a0: $i] :
% 5.64/5.88 ( ( mem @ V2a0 @ A_27a )
% 5.64/5.88 & ? [V3a: $i] :
% 5.64/5.88 ( ( mem @ V3a @ A_27a )
% 5.64/5.88 & ? [V4f0: $i] :
% 5.64/5.88 ( ( mem @ V4f0 @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.64/5.88 & ? [V5f: $i] :
% 5.64/5.88 ( ( mem @ V5f @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.64/5.88 & ( p @ ( ap @ V0P @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR0__fupd @ A_27a ) @ ( ap @ ( c_2Ecombin_2EK @ A_27a @ A_27a ) @ V2a0 ) ) @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR1__fupd @ A_27a ) @ ( ap @ ( c_2Ecombin_2EK @ A_27a @ A_27a ) @ V3a ) ) @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRP__fupd @ A_27a ) @ ( ap @ ( c_2Ecombin_2EK @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) @ V4f0 ) ) @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRM__fupd @ A_27a ) @ ( ap @ ( c_2Ecombin_2EK @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) @ V5f ) ) @ ( c_2Ebool_2EARB @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Esemi__ring_2Esemi__ring__literal__11,axiom,
% 5.64/5.88 ! [A_27a: del,V0a01: $i] :
% 5.64/5.88 ( ( mem @ V0a01 @ A_27a )
% 5.64/5.88 => ! [V1a1: $i] :
% 5.64/5.88 ( ( mem @ V1a1 @ A_27a )
% 5.64/5.88 => ! [V2f01: $i] :
% 5.64/5.88 ( ( mem @ V2f01 @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.64/5.88 => ! [V3f1: $i] :
% 5.64/5.88 ( ( mem @ V3f1 @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.64/5.88 => ! [V4a02: $i] :
% 5.64/5.88 ( ( mem @ V4a02 @ A_27a )
% 5.64/5.88 => ! [V5a2: $i] :
% 5.64/5.88 ( ( mem @ V5a2 @ A_27a )
% 5.64/5.88 => ! [V6f02: $i] :
% 5.64/5.88 ( ( mem @ V6f02 @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.64/5.88 => ! [V7f2: $i] :
% 5.64/5.88 ( ( mem @ V7f2 @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.64/5.88 => ( ( ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR0__fupd @ A_27a ) @ ( ap @ ( c_2Ecombin_2EK @ A_27a @ A_27a ) @ V0a01 ) ) @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR1__fupd @ A_27a ) @ ( ap @ ( c_2Ecombin_2EK @ A_27a @ A_27a ) @ V1a1 ) ) @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRP__fupd @ A_27a ) @ ( ap @ ( c_2Ecombin_2EK @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) @ V2f01 ) ) @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRM__fupd @ A_27a ) @ ( ap @ ( c_2Ecombin_2EK @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) @ V3f1 ) ) @ ( c_2Ebool_2EARB @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) ) ) ) ) )
% 5.64/5.88 = ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR0__fupd @ A_27a ) @ ( ap @ ( c_2Ecombin_2EK @ A_27a @ A_27a ) @ V4a02 ) ) @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR1__fupd @ A_27a ) @ ( ap @ ( c_2Ecombin_2EK @ A_27a @ A_27a ) @ V5a2 ) ) @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRP__fupd @ A_27a ) @ ( ap @ ( c_2Ecombin_2EK @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) @ V6f02 ) ) @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRM__fupd @ A_27a ) @ ( ap @ ( c_2Ecombin_2EK @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) @ V7f2 ) ) @ ( c_2Ebool_2EARB @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) ) ) ) ) ) )
% 5.64/5.88 <=> ( ( V0a01 = V4a02 )
% 5.64/5.88 & ( V1a1 = V5a2 )
% 5.64/5.88 & ( V2f01 = V6f02 )
% 5.64/5.88 & ( V3f1 = V7f2 ) ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Esemi__ring_2Edatatype__semi__ring,axiom,
% 5.64/5.88 ! [A_27a: del,V0record: $i] :
% 5.64/5.88 ( ( mem @ V0record @ ( arr @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) @ ( arr @ A_27a @ ( arr @ A_27a @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ bool ) ) ) ) ) )
% 5.64/5.88 => ! [V1semi__ring: $i] :
% 5.64/5.88 ( ( mem @ V1semi__ring @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) )
% 5.64/5.88 => ! [V2SR0: $i] :
% 5.64/5.88 ( ( mem @ V2SR0 @ A_27a )
% 5.64/5.88 => ! [V3SR1: $i] :
% 5.64/5.88 ( ( mem @ V3SR1 @ A_27a )
% 5.64/5.88 => ! [V4SRP: $i] :
% 5.64/5.88 ( ( mem @ V4SRP @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.64/5.88 => ! [V5SRM: $i] :
% 5.64/5.88 ( ( mem @ V5SRM @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.64/5.88 => ( p @ ( ap @ ( c_2Ebool_2EDATATYPE @ bool ) @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ V0record @ V1semi__ring ) @ V2SR0 ) @ V3SR1 ) @ V4SRP ) @ V5SRM ) ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Esemi__ring_2Esemi__ring__11,axiom,
% 5.64/5.88 ! [A_27a: del,V0a0: $i] :
% 5.64/5.88 ( ( mem @ V0a0 @ A_27a )
% 5.64/5.88 => ! [V1a1: $i] :
% 5.64/5.88 ( ( mem @ V1a1 @ A_27a )
% 5.64/5.88 => ! [V2a2: $i] :
% 5.64/5.88 ( ( mem @ V2a2 @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.64/5.88 => ! [V3a3: $i] :
% 5.64/5.88 ( ( mem @ V3a3 @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.64/5.88 => ! [V4a0_27: $i] :
% 5.64/5.88 ( ( mem @ V4a0_27 @ A_27a )
% 5.64/5.88 => ! [V5a1_27: $i] :
% 5.64/5.88 ( ( mem @ V5a1_27 @ A_27a )
% 5.64/5.88 => ! [V6a2_27: $i] :
% 5.64/5.88 ( ( mem @ V6a2_27 @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.64/5.88 => ! [V7a3_27: $i] :
% 5.64/5.88 ( ( mem @ V7a3_27 @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.64/5.88 => ( ( ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Erecordtype_2Esemi__ring @ A_27a ) @ V0a0 ) @ V1a1 ) @ V2a2 ) @ V3a3 )
% 5.64/5.88 = ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Erecordtype_2Esemi__ring @ A_27a ) @ V4a0_27 ) @ V5a1_27 ) @ V6a2_27 ) @ V7a3_27 ) )
% 5.64/5.88 <=> ( ( V0a0 = V4a0_27 )
% 5.64/5.88 & ( V1a1 = V5a1_27 )
% 5.64/5.88 & ( V2a2 = V6a2_27 )
% 5.64/5.88 & ( V3a3 = V7a3_27 ) ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Esemi__ring_2Esemi__ring__nchotomy,axiom,
% 5.64/5.88 ! [A_27a: del,V0ss: $i] :
% 5.64/5.88 ( ( mem @ V0ss @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) )
% 5.64/5.88 => ? [V1a: $i] :
% 5.64/5.88 ( ( mem @ V1a @ A_27a )
% 5.64/5.88 & ? [V2a0: $i] :
% 5.64/5.88 ( ( mem @ V2a0 @ A_27a )
% 5.64/5.88 & ? [V3f: $i] :
% 5.64/5.88 ( ( mem @ V3f @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.64/5.88 & ? [V4f0: $i] :
% 5.64/5.88 ( ( mem @ V4f0 @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.64/5.88 & ( V0ss
% 5.64/5.88 = ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Erecordtype_2Esemi__ring @ A_27a ) @ V1a ) @ V2a0 ) @ V3f ) @ V4f0 ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Esemi__ring_2Esemi__ring__Axiom,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.64/5.88 ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27a @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ A_27b ) ) ) ) )
% 5.64/5.88 => ? [V1fn: $i] :
% 5.64/5.88 ( ( mem @ V1fn @ ( arr @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) @ A_27b ) )
% 5.64/5.88 & ! [V2a0: $i] :
% 5.64/5.88 ( ( mem @ V2a0 @ A_27a )
% 5.64/5.88 => ! [V3a1: $i] :
% 5.64/5.88 ( ( mem @ V3a1 @ A_27a )
% 5.64/5.88 => ! [V4a2: $i] :
% 5.64/5.88 ( ( mem @ V4a2 @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.64/5.88 => ! [V5a3: $i] :
% 5.64/5.88 ( ( mem @ V5a3 @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.64/5.88 => ( ( ap @ V1fn @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Erecordtype_2Esemi__ring @ A_27a ) @ V2a0 ) @ V3a1 ) @ V4a2 ) @ V5a3 ) )
% 5.64/5.88 = ( ap @ ( ap @ ( ap @ ( ap @ V0f @ V2a0 ) @ V3a1 ) @ V4a2 ) @ V5a3 ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Esemi__ring_2Esemi__ring__induction,axiom,
% 5.64/5.88 ! [A_27a: del,V0P: $i] :
% 5.64/5.88 ( ( mem @ V0P @ ( arr @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) @ bool ) )
% 5.64/5.88 => ( ! [V1a: $i] :
% 5.64/5.88 ( ( mem @ V1a @ A_27a )
% 5.64/5.88 => ! [V2a0: $i] :
% 5.64/5.88 ( ( mem @ V2a0 @ A_27a )
% 5.64/5.88 => ! [V3f: $i] :
% 5.64/5.88 ( ( mem @ V3f @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.64/5.88 => ! [V4f0: $i] :
% 5.64/5.88 ( ( mem @ V4f0 @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.64/5.88 => ( p @ ( ap @ V0P @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Erecordtype_2Esemi__ring @ A_27a ) @ V1a ) @ V2a0 ) @ V3f ) @ V4f0 ) ) ) ) ) ) )
% 5.64/5.88 => ! [V5s: $i] :
% 5.64/5.88 ( ( mem @ V5s @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) )
% 5.64/5.88 => ( p @ ( ap @ V0P @ V5s ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Esemi__ring_2Esemi__ring__case__cong,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,V0f_27: $i] :
% 5.64/5.88 ( ( mem @ V0f_27 @ ( arr @ A_27a @ ( arr @ A_27a @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ A_27b ) ) ) ) )
% 5.64/5.88 => ! [V1M: $i] :
% 5.64/5.88 ( ( mem @ V1M @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) )
% 5.64/5.88 => ! [V2M_27: $i] :
% 5.64/5.88 ( ( mem @ V2M_27 @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) )
% 5.64/5.88 => ! [V3f: $i] :
% 5.64/5.88 ( ( mem @ V3f @ ( arr @ A_27a @ ( arr @ A_27a @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ A_27b ) ) ) ) )
% 5.64/5.88 => ( ( ( V1M = V2M_27 )
% 5.64/5.88 & ! [V4a0: $i] :
% 5.64/5.88 ( ( mem @ V4a0 @ A_27a )
% 5.64/5.88 => ! [V5a1: $i] :
% 5.64/5.88 ( ( mem @ V5a1 @ A_27a )
% 5.64/5.88 => ! [V6a2: $i] :
% 5.64/5.88 ( ( mem @ V6a2 @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.64/5.88 => ! [V7a3: $i] :
% 5.64/5.88 ( ( mem @ V7a3 @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.64/5.88 => ( ( V2M_27
% 5.64/5.88 = ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Erecordtype_2Esemi__ring @ A_27a ) @ V4a0 ) @ V5a1 ) @ V6a2 ) @ V7a3 ) )
% 5.64/5.88 => ( ( ap @ ( ap @ ( ap @ ( ap @ V3f @ V4a0 ) @ V5a1 ) @ V6a2 ) @ V7a3 )
% 5.64/5.88 = ( ap @ ( ap @ ( ap @ ( ap @ V0f_27 @ V4a0 ) @ V5a1 ) @ V6a2 ) @ V7a3 ) ) ) ) ) ) ) )
% 5.64/5.88 => ( ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__CASE @ A_27a @ A_27b ) @ V1M ) @ V3f )
% 5.64/5.88 = ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__CASE @ A_27a @ A_27b ) @ V2M_27 ) @ V0f_27 ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Esemi__ring_2Esemi__ring__case__eq,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,V0x: $i] :
% 5.64/5.88 ( ( mem @ V0x @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) )
% 5.64/5.88 => ! [V1f: $i] :
% 5.64/5.88 ( ( mem @ V1f @ ( arr @ A_27a @ ( arr @ A_27a @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ A_27b ) ) ) ) )
% 5.64/5.88 => ! [V2v: $i] :
% 5.64/5.88 ( ( mem @ V2v @ A_27b )
% 5.64/5.88 => ( ( ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__CASE @ A_27a @ A_27b ) @ V0x ) @ V1f )
% 5.64/5.88 = V2v )
% 5.64/5.88 <=> ? [V3a: $i] :
% 5.64/5.88 ( ( mem @ V3a @ A_27a )
% 5.64/5.88 & ? [V4a0: $i] :
% 5.64/5.88 ( ( mem @ V4a0 @ A_27a )
% 5.64/5.88 & ? [V5f_27: $i] :
% 5.64/5.88 ( ( mem @ V5f_27 @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.64/5.88 & ? [V6f0: $i] :
% 5.64/5.88 ( ( mem @ V6f0 @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.64/5.88 & ( V0x
% 5.64/5.88 = ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Erecordtype_2Esemi__ring @ A_27a ) @ V3a ) @ V4a0 ) @ V5f_27 ) @ V6f0 ) )
% 5.64/5.88 & ( ( ap @ ( ap @ ( ap @ ( ap @ V1f @ V3a ) @ V4a0 ) @ V5f_27 ) @ V6f0 )
% 5.64/5.88 = V2v ) ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(ax_thm_2Esemi__ring_2Eis__semi__ring__def,axiom,
% 5.64/5.88 ! [A_27a: del,V0r: $i] :
% 5.64/5.88 ( ( mem @ V0r @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( c_2Esemi__ring_2Eis__semi__ring @ A_27a ) @ V0r ) )
% 5.64/5.88 <=> ( ! [V1n: $i] :
% 5.64/5.88 ( ( mem @ V1n @ A_27a )
% 5.64/5.88 => ! [V2m: $i] :
% 5.64/5.88 ( ( mem @ V2m @ A_27a )
% 5.64/5.88 => ( ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRP @ A_27a ) @ V0r ) @ V1n ) @ V2m )
% 5.64/5.88 = ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRP @ A_27a ) @ V0r ) @ V2m ) @ V1n ) ) ) )
% 5.64/5.88 & ! [V3n: $i] :
% 5.64/5.88 ( ( mem @ V3n @ A_27a )
% 5.64/5.88 => ! [V4m: $i] :
% 5.64/5.88 ( ( mem @ V4m @ A_27a )
% 5.64/5.88 => ! [V5p: $i] :
% 5.64/5.88 ( ( mem @ V5p @ A_27a )
% 5.64/5.88 => ( ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRP @ A_27a ) @ V0r ) @ V3n ) @ ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRP @ A_27a ) @ V0r ) @ V4m ) @ V5p ) )
% 5.64/5.88 = ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRP @ A_27a ) @ V0r ) @ ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRP @ A_27a ) @ V0r ) @ V3n ) @ V4m ) ) @ V5p ) ) ) ) )
% 5.64/5.88 & ! [V6n: $i] :
% 5.64/5.88 ( ( mem @ V6n @ A_27a )
% 5.64/5.88 => ! [V7m: $i] :
% 5.64/5.88 ( ( mem @ V7m @ A_27a )
% 5.64/5.88 => ( ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRM @ A_27a ) @ V0r ) @ V6n ) @ V7m )
% 5.64/5.88 = ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRM @ A_27a ) @ V0r ) @ V7m ) @ V6n ) ) ) )
% 5.64/5.88 & ! [V8n: $i] :
% 5.64/5.88 ( ( mem @ V8n @ A_27a )
% 5.64/5.88 => ! [V9m: $i] :
% 5.64/5.88 ( ( mem @ V9m @ A_27a )
% 5.64/5.88 => ! [V10p: $i] :
% 5.64/5.88 ( ( mem @ V10p @ A_27a )
% 5.64/5.88 => ( ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRM @ A_27a ) @ V0r ) @ V8n ) @ ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRM @ A_27a ) @ V0r ) @ V9m ) @ V10p ) )
% 5.64/5.88 = ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRM @ A_27a ) @ V0r ) @ ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRM @ A_27a ) @ V0r ) @ V8n ) @ V9m ) ) @ V10p ) ) ) ) )
% 5.64/5.88 & ! [V11n: $i] :
% 5.64/5.88 ( ( mem @ V11n @ A_27a )
% 5.64/5.88 => ( ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRP @ A_27a ) @ V0r ) @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR0 @ A_27a ) @ V0r ) ) @ V11n )
% 5.64/5.88 = V11n ) )
% 5.64/5.88 & ! [V12n: $i] :
% 5.64/5.88 ( ( mem @ V12n @ A_27a )
% 5.64/5.88 => ( ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRM @ A_27a ) @ V0r ) @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR1 @ A_27a ) @ V0r ) ) @ V12n )
% 5.64/5.88 = V12n ) )
% 5.64/5.88 & ! [V13n: $i] :
% 5.64/5.88 ( ( mem @ V13n @ A_27a )
% 5.64/5.88 => ( ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRM @ A_27a ) @ V0r ) @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR0 @ A_27a ) @ V0r ) ) @ V13n )
% 5.64/5.88 = ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR0 @ A_27a ) @ V0r ) ) )
% 5.64/5.88 & ! [V14n: $i] :
% 5.64/5.88 ( ( mem @ V14n @ A_27a )
% 5.64/5.88 => ! [V15m: $i] :
% 5.64/5.88 ( ( mem @ V15m @ A_27a )
% 5.64/5.88 => ! [V16p: $i] :
% 5.64/5.88 ( ( mem @ V16p @ A_27a )
% 5.64/5.88 => ( ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRM @ A_27a ) @ V0r ) @ ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRP @ A_27a ) @ V0r ) @ V14n ) @ V15m ) ) @ V16p )
% 5.64/5.88 = ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRP @ A_27a ) @ V0r ) @ ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRM @ A_27a ) @ V0r ) @ V14n ) @ V16p ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRM @ A_27a ) @ V0r ) @ V15m ) @ V16p ) ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Esemi__ring_2Eplus__sym,axiom,
% 5.64/5.88 ! [A_27a: del,V0r: $i] :
% 5.64/5.88 ( ( mem @ V0r @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( c_2Esemi__ring_2Eis__semi__ring @ A_27a ) @ V0r ) )
% 5.64/5.88 => ! [V1n: $i] :
% 5.64/5.88 ( ( mem @ V1n @ A_27a )
% 5.64/5.88 => ! [V2m: $i] :
% 5.64/5.88 ( ( mem @ V2m @ A_27a )
% 5.64/5.88 => ( ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRP @ A_27a ) @ V0r ) @ V1n ) @ V2m )
% 5.64/5.88 = ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRP @ A_27a ) @ V0r ) @ V2m ) @ V1n ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Esemi__ring_2Eplus__assoc,axiom,
% 5.64/5.88 ! [A_27a: del,V0r: $i] :
% 5.64/5.88 ( ( mem @ V0r @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( c_2Esemi__ring_2Eis__semi__ring @ A_27a ) @ V0r ) )
% 5.64/5.88 => ! [V1n: $i] :
% 5.64/5.88 ( ( mem @ V1n @ A_27a )
% 5.64/5.88 => ! [V2m: $i] :
% 5.64/5.88 ( ( mem @ V2m @ A_27a )
% 5.64/5.88 => ! [V3p: $i] :
% 5.64/5.88 ( ( mem @ V3p @ A_27a )
% 5.64/5.88 => ( ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRP @ A_27a ) @ V0r ) @ V1n ) @ ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRP @ A_27a ) @ V0r ) @ V2m ) @ V3p ) )
% 5.64/5.88 = ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRP @ A_27a ) @ V0r ) @ ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRP @ A_27a ) @ V0r ) @ V1n ) @ V2m ) ) @ V3p ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Esemi__ring_2Emult__sym,axiom,
% 5.64/5.88 ! [A_27a: del,V0r: $i] :
% 5.64/5.88 ( ( mem @ V0r @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( c_2Esemi__ring_2Eis__semi__ring @ A_27a ) @ V0r ) )
% 5.64/5.88 => ! [V1n: $i] :
% 5.64/5.88 ( ( mem @ V1n @ A_27a )
% 5.64/5.88 => ! [V2m: $i] :
% 5.64/5.88 ( ( mem @ V2m @ A_27a )
% 5.64/5.88 => ( ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRM @ A_27a ) @ V0r ) @ V1n ) @ V2m )
% 5.64/5.88 = ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRM @ A_27a ) @ V0r ) @ V2m ) @ V1n ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Esemi__ring_2Emult__assoc,axiom,
% 5.64/5.88 ! [A_27a: del,V0r: $i] :
% 5.64/5.88 ( ( mem @ V0r @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( c_2Esemi__ring_2Eis__semi__ring @ A_27a ) @ V0r ) )
% 5.64/5.88 => ! [V1n: $i] :
% 5.64/5.88 ( ( mem @ V1n @ A_27a )
% 5.64/5.88 => ! [V2m: $i] :
% 5.64/5.88 ( ( mem @ V2m @ A_27a )
% 5.64/5.88 => ! [V3p: $i] :
% 5.64/5.88 ( ( mem @ V3p @ A_27a )
% 5.64/5.88 => ( ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRM @ A_27a ) @ V0r ) @ V1n ) @ ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRM @ A_27a ) @ V0r ) @ V2m ) @ V3p ) )
% 5.64/5.88 = ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRM @ A_27a ) @ V0r ) @ ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRM @ A_27a ) @ V0r ) @ V1n ) @ V2m ) ) @ V3p ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Esemi__ring_2Eplus__zero__left,axiom,
% 5.64/5.88 ! [A_27a: del,V0r: $i] :
% 5.64/5.88 ( ( mem @ V0r @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( c_2Esemi__ring_2Eis__semi__ring @ A_27a ) @ V0r ) )
% 5.64/5.88 => ! [V1n: $i] :
% 5.64/5.88 ( ( mem @ V1n @ A_27a )
% 5.64/5.88 => ( ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRP @ A_27a ) @ V0r ) @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR0 @ A_27a ) @ V0r ) ) @ V1n )
% 5.64/5.88 = V1n ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Esemi__ring_2Emult__one__left,axiom,
% 5.64/5.88 ! [A_27a: del,V0r: $i] :
% 5.64/5.88 ( ( mem @ V0r @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( c_2Esemi__ring_2Eis__semi__ring @ A_27a ) @ V0r ) )
% 5.64/5.88 => ! [V1n: $i] :
% 5.64/5.88 ( ( mem @ V1n @ A_27a )
% 5.64/5.88 => ( ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRM @ A_27a ) @ V0r ) @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR1 @ A_27a ) @ V0r ) ) @ V1n )
% 5.64/5.88 = V1n ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Esemi__ring_2Emult__zero__left,axiom,
% 5.64/5.88 ! [A_27a: del,V0r: $i] :
% 5.64/5.88 ( ( mem @ V0r @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( c_2Esemi__ring_2Eis__semi__ring @ A_27a ) @ V0r ) )
% 5.64/5.88 => ! [V1n: $i] :
% 5.64/5.88 ( ( mem @ V1n @ A_27a )
% 5.64/5.88 => ( ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRM @ A_27a ) @ V0r ) @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR0 @ A_27a ) @ V0r ) ) @ V1n )
% 5.64/5.88 = ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR0 @ A_27a ) @ V0r ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Esemi__ring_2Edistr__left,axiom,
% 5.64/5.88 ! [A_27a: del,V0r: $i] :
% 5.64/5.88 ( ( mem @ V0r @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( c_2Esemi__ring_2Eis__semi__ring @ A_27a ) @ V0r ) )
% 5.64/5.88 => ! [V1n: $i] :
% 5.64/5.88 ( ( mem @ V1n @ A_27a )
% 5.64/5.88 => ! [V2m: $i] :
% 5.64/5.88 ( ( mem @ V2m @ A_27a )
% 5.64/5.88 => ! [V3p: $i] :
% 5.64/5.88 ( ( mem @ V3p @ A_27a )
% 5.64/5.88 => ( ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRM @ A_27a ) @ V0r ) @ ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRP @ A_27a ) @ V0r ) @ V1n ) @ V2m ) ) @ V3p )
% 5.64/5.88 = ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRP @ A_27a ) @ V0r ) @ ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRM @ A_27a ) @ V0r ) @ V1n ) @ V3p ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRM @ A_27a ) @ V0r ) @ V2m ) @ V3p ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Esemi__ring_2Eplus__zero__right,axiom,
% 5.64/5.88 ! [A_27a: del,V0r: $i] :
% 5.64/5.88 ( ( mem @ V0r @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( c_2Esemi__ring_2Eis__semi__ring @ A_27a ) @ V0r ) )
% 5.64/5.88 => ! [V1n: $i] :
% 5.64/5.88 ( ( mem @ V1n @ A_27a )
% 5.64/5.88 => ( ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRP @ A_27a ) @ V0r ) @ V1n ) @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR0 @ A_27a ) @ V0r ) )
% 5.64/5.88 = V1n ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Esemi__ring_2Emult__one__right,axiom,
% 5.64/5.88 ! [A_27a: del,V0r: $i] :
% 5.64/5.88 ( ( mem @ V0r @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( c_2Esemi__ring_2Eis__semi__ring @ A_27a ) @ V0r ) )
% 5.64/5.88 => ! [V1n: $i] :
% 5.64/5.88 ( ( mem @ V1n @ A_27a )
% 5.64/5.88 => ( ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRM @ A_27a ) @ V0r ) @ V1n ) @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR1 @ A_27a ) @ V0r ) )
% 5.64/5.88 = V1n ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Esemi__ring_2Emult__zero__right,axiom,
% 5.64/5.88 ! [A_27a: del,V0r: $i] :
% 5.64/5.88 ( ( mem @ V0r @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( c_2Esemi__ring_2Eis__semi__ring @ A_27a ) @ V0r ) )
% 5.64/5.88 => ! [V1n: $i] :
% 5.64/5.88 ( ( mem @ V1n @ A_27a )
% 5.64/5.88 => ( ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRM @ A_27a ) @ V0r ) @ V1n ) @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR0 @ A_27a ) @ V0r ) )
% 5.64/5.88 = ( ap @ ( c_2Esemi__ring_2Esemi__ring__SR0 @ A_27a ) @ V0r ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Esemi__ring_2Edistr__right,axiom,
% 5.64/5.88 ! [A_27a: del,V0r: $i] :
% 5.64/5.88 ( ( mem @ V0r @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( c_2Esemi__ring_2Eis__semi__ring @ A_27a ) @ V0r ) )
% 5.64/5.88 => ! [V1m: $i] :
% 5.64/5.88 ( ( mem @ V1m @ A_27a )
% 5.64/5.88 => ! [V2n: $i] :
% 5.64/5.88 ( ( mem @ V2n @ A_27a )
% 5.64/5.88 => ! [V3p: $i] :
% 5.64/5.88 ( ( mem @ V3p @ A_27a )
% 5.64/5.88 => ( ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRM @ A_27a ) @ V0r ) @ V1m ) @ ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRP @ A_27a ) @ V0r ) @ V2n ) @ V3p ) )
% 5.64/5.88 = ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRP @ A_27a ) @ V0r ) @ ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRM @ A_27a ) @ V0r ) @ V1m ) @ V2n ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRM @ A_27a ) @ V0r ) @ V1m ) @ V3p ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Esemi__ring_2Eplus__rotate,axiom,
% 5.64/5.88 ! [A_27a: del,V0r: $i] :
% 5.64/5.88 ( ( mem @ V0r @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( c_2Esemi__ring_2Eis__semi__ring @ A_27a ) @ V0r ) )
% 5.64/5.88 => ! [V1m: $i] :
% 5.64/5.88 ( ( mem @ V1m @ A_27a )
% 5.64/5.88 => ! [V2n: $i] :
% 5.64/5.88 ( ( mem @ V2n @ A_27a )
% 5.64/5.88 => ! [V3p: $i] :
% 5.64/5.88 ( ( mem @ V3p @ A_27a )
% 5.64/5.88 => ( ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRP @ A_27a ) @ V0r ) @ ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRP @ A_27a ) @ V0r ) @ V1m ) @ V2n ) ) @ V3p )
% 5.64/5.88 = ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRP @ A_27a ) @ V0r ) @ ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRP @ A_27a ) @ V0r ) @ V2n ) @ V3p ) ) @ V1m ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Esemi__ring_2Eplus__permute,axiom,
% 5.64/5.88 ! [A_27a: del,V0r: $i] :
% 5.64/5.88 ( ( mem @ V0r @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( c_2Esemi__ring_2Eis__semi__ring @ A_27a ) @ V0r ) )
% 5.64/5.88 => ! [V1m: $i] :
% 5.64/5.88 ( ( mem @ V1m @ A_27a )
% 5.64/5.88 => ! [V2n: $i] :
% 5.64/5.88 ( ( mem @ V2n @ A_27a )
% 5.64/5.88 => ! [V3p: $i] :
% 5.64/5.88 ( ( mem @ V3p @ A_27a )
% 5.64/5.88 => ( ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRP @ A_27a ) @ V0r ) @ ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRP @ A_27a ) @ V0r ) @ V1m ) @ V2n ) ) @ V3p )
% 5.64/5.88 = ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRP @ A_27a ) @ V0r ) @ ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRP @ A_27a ) @ V0r ) @ V1m ) @ V3p ) ) @ V2n ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Esemi__ring_2Emult__rotate,axiom,
% 5.64/5.88 ! [A_27a: del,V0r: $i] :
% 5.64/5.88 ( ( mem @ V0r @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( c_2Esemi__ring_2Eis__semi__ring @ A_27a ) @ V0r ) )
% 5.64/5.88 => ! [V1m: $i] :
% 5.64/5.88 ( ( mem @ V1m @ A_27a )
% 5.64/5.88 => ! [V2n: $i] :
% 5.64/5.88 ( ( mem @ V2n @ A_27a )
% 5.64/5.88 => ! [V3p: $i] :
% 5.64/5.88 ( ( mem @ V3p @ A_27a )
% 5.64/5.88 => ( ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRM @ A_27a ) @ V0r ) @ ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRM @ A_27a ) @ V0r ) @ V1m ) @ V2n ) ) @ V3p )
% 5.64/5.88 = ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRM @ A_27a ) @ V0r ) @ ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRM @ A_27a ) @ V0r ) @ V2n ) @ V3p ) ) @ V1m ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Esemi__ring_2Emult__permute,axiom,
% 5.64/5.88 ! [A_27a: del,V0r: $i] :
% 5.64/5.88 ( ( mem @ V0r @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( c_2Esemi__ring_2Eis__semi__ring @ A_27a ) @ V0r ) )
% 5.64/5.88 => ! [V1m: $i] :
% 5.64/5.88 ( ( mem @ V1m @ A_27a )
% 5.64/5.88 => ! [V2n: $i] :
% 5.64/5.88 ( ( mem @ V2n @ A_27a )
% 5.64/5.88 => ! [V3p: $i] :
% 5.64/5.88 ( ( mem @ V3p @ A_27a )
% 5.64/5.88 => ( ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRM @ A_27a ) @ V0r ) @ ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRM @ A_27a ) @ V0r ) @ V1m ) @ V2n ) ) @ V3p )
% 5.64/5.88 = ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRM @ A_27a ) @ V0r ) @ ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Esemi__ring__SRM @ A_27a ) @ V0r ) @ V1m ) @ V3p ) ) @ V2n ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 %------------------------------------------------------------------------------
% 5.64/5.88 %------------------------------------------------------------------------------
% 5.64/5.88 thf(tp_ty_2Ewellorder_2Ewellorder,type,
% 5.64/5.88 ty_2Ewellorder_2Ewellorder: del > del ).
% 5.64/5.88
% 5.64/5.88 thf(tp_c_2Ewellorder_2EADD1,type,
% 5.64/5.88 c_2Ewellorder_2EADD1: del > $i ).
% 5.64/5.88
% 5.64/5.88 thf(mem_c_2Ewellorder_2EADD1,axiom,
% 5.64/5.88 ! [A_27a: del] : ( mem @ ( c_2Ewellorder_2EADD1 @ A_27a ) @ ( arr @ A_27a @ ( arr @ ( ty_2Ewellorder_2Ewellorder @ A_27a ) @ ( ty_2Ewellorder_2Ewellorder @ A_27a ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(tp_c_2Ewellorder_2EChain,type,
% 5.64/5.88 c_2Ewellorder_2EChain: del > $i ).
% 5.64/5.88
% 5.64/5.88 thf(mem_c_2Ewellorder_2EChain,axiom,
% 5.64/5.88 ! [A_27a: del] : ( mem @ ( c_2Ewellorder_2EChain @ A_27a ) @ ( arr @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(tp_c_2Ewellorder_2EelsOf,type,
% 5.64/5.88 c_2Ewellorder_2EelsOf: del > $i ).
% 5.64/5.88
% 5.64/5.88 thf(mem_c_2Ewellorder_2EelsOf,axiom,
% 5.64/5.88 ! [A_27a: del] : ( mem @ ( c_2Ewellorder_2EelsOf @ A_27a ) @ ( arr @ ( ty_2Ewellorder_2Ewellorder @ A_27a ) @ ( arr @ A_27a @ bool ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(tp_c_2Ewellorder_2Efinite,type,
% 5.64/5.88 c_2Ewellorder_2Efinite: del > $i ).
% 5.64/5.88
% 5.64/5.88 thf(mem_c_2Ewellorder_2Efinite,axiom,
% 5.64/5.88 ! [A_27a: del] : ( mem @ ( c_2Ewellorder_2Efinite @ A_27a ) @ ( arr @ ( ty_2Ewellorder_2Ewellorder @ A_27a ) @ bool ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(tp_c_2Ewellorder_2Efl,type,
% 5.64/5.88 c_2Ewellorder_2Efl: del > $i ).
% 5.64/5.88
% 5.64/5.88 thf(mem_c_2Ewellorder_2Efl,axiom,
% 5.64/5.88 ! [A_27a: del] : ( mem @ ( c_2Ewellorder_2Efl @ A_27a ) @ ( arr @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) @ ( arr @ A_27a @ bool ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(tp_c_2Ewellorder_2EfromNatWO,type,
% 5.64/5.88 c_2Ewellorder_2EfromNatWO: del > $i ).
% 5.64/5.88
% 5.64/5.88 thf(mem_c_2Ewellorder_2EfromNatWO,axiom,
% 5.64/5.88 ! [A_27a: del] : ( mem @ ( c_2Ewellorder_2EfromNatWO @ A_27a ) @ ( arr @ ty_2Enum_2Enum @ ( ty_2Ewellorder_2Ewellorder @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ A_27a ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(tp_c_2Ewellorder_2Eiseg,type,
% 5.64/5.88 c_2Ewellorder_2Eiseg: del > $i ).
% 5.64/5.88
% 5.64/5.88 thf(mem_c_2Ewellorder_2Eiseg,axiom,
% 5.64/5.88 ! [A_27a: del] : ( mem @ ( c_2Ewellorder_2Eiseg @ A_27a ) @ ( arr @ ( ty_2Ewellorder_2Ewellorder @ A_27a ) @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(tp_c_2Ewellorder_2Eorderiso,type,
% 5.64/5.88 c_2Ewellorder_2Eorderiso: del > del > $i ).
% 5.64/5.88
% 5.64/5.88 thf(mem_c_2Ewellorder_2Eorderiso,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Ewellorder_2Eorderiso @ A_27a @ A_27b ) @ ( arr @ ( ty_2Ewellorder_2Ewellorder @ A_27a ) @ ( arr @ ( ty_2Ewellorder_2Ewellorder @ A_27b ) @ bool ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(tp_c_2Ewellorder_2Eorderlt,type,
% 5.64/5.88 c_2Ewellorder_2Eorderlt: del > del > $i ).
% 5.64/5.88
% 5.64/5.88 thf(mem_c_2Ewellorder_2Eorderlt,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Ewellorder_2Eorderlt @ A_27a @ A_27b ) @ ( arr @ ( ty_2Ewellorder_2Ewellorder @ A_27a ) @ ( arr @ ( ty_2Ewellorder_2Ewellorder @ A_27b ) @ bool ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(tp_c_2Ewellorder_2Eposet,type,
% 5.64/5.88 c_2Ewellorder_2Eposet: del > $i ).
% 5.64/5.88
% 5.64/5.88 thf(mem_c_2Ewellorder_2Eposet,axiom,
% 5.64/5.88 ! [A_27a: del] : ( mem @ ( c_2Ewellorder_2Eposet @ A_27a ) @ ( arr @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) @ bool ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(tp_c_2Ewellorder_2Eremove,type,
% 5.64/5.88 c_2Ewellorder_2Eremove: del > $i ).
% 5.64/5.88
% 5.64/5.88 thf(mem_c_2Ewellorder_2Eremove,axiom,
% 5.64/5.88 ! [A_27a: del] : ( mem @ ( c_2Ewellorder_2Eremove @ A_27a ) @ ( arr @ A_27a @ ( arr @ ( ty_2Ewellorder_2Ewellorder @ A_27a ) @ ( ty_2Ewellorder_2Ewellorder @ A_27a ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(tp_c_2Ewellorder_2EwZERO,type,
% 5.64/5.88 c_2Ewellorder_2EwZERO: del > $i ).
% 5.64/5.88
% 5.64/5.88 thf(mem_c_2Ewellorder_2EwZERO,axiom,
% 5.64/5.88 ! [A_27a: del] : ( mem @ ( c_2Ewellorder_2EwZERO @ A_27a ) @ ( ty_2Ewellorder_2Ewellorder @ A_27a ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(tp_c_2Ewellorder_2Ewellfounded,type,
% 5.64/5.88 c_2Ewellorder_2Ewellfounded: del > $i ).
% 5.64/5.88
% 5.64/5.88 thf(mem_c_2Ewellorder_2Ewellfounded,axiom,
% 5.64/5.88 ! [A_27a: del] : ( mem @ ( c_2Ewellorder_2Ewellfounded @ A_27a ) @ ( arr @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) @ bool ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(tp_c_2Ewellorder_2Ewellorder,type,
% 5.64/5.88 c_2Ewellorder_2Ewellorder: del > $i ).
% 5.64/5.88
% 5.64/5.88 thf(mem_c_2Ewellorder_2Ewellorder,axiom,
% 5.64/5.88 ! [A_27a: del] : ( mem @ ( c_2Ewellorder_2Ewellorder @ A_27a ) @ ( arr @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) @ bool ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(tp_c_2Ewellorder_2Ewellorder__ABS,type,
% 5.64/5.88 c_2Ewellorder_2Ewellorder__ABS: del > $i ).
% 5.64/5.88
% 5.64/5.88 thf(mem_c_2Ewellorder_2Ewellorder__ABS,axiom,
% 5.64/5.88 ! [A_27a: del] : ( mem @ ( c_2Ewellorder_2Ewellorder__ABS @ A_27a ) @ ( arr @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) @ ( ty_2Ewellorder_2Ewellorder @ A_27a ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(tp_c_2Ewellorder_2Ewellorder__REP,type,
% 5.64/5.88 c_2Ewellorder_2Ewellorder__REP: del > $i ).
% 5.64/5.88
% 5.64/5.88 thf(mem_c_2Ewellorder_2Ewellorder__REP,axiom,
% 5.64/5.88 ! [A_27a: del] : ( mem @ ( c_2Ewellorder_2Ewellorder__REP @ A_27a ) @ ( arr @ ( ty_2Ewellorder_2Ewellorder @ A_27a ) @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(tp_c_2Ewellorder_2Ewleast,type,
% 5.64/5.88 c_2Ewellorder_2Ewleast: del > $i ).
% 5.64/5.88
% 5.64/5.88 thf(mem_c_2Ewellorder_2Ewleast,axiom,
% 5.64/5.88 ! [A_27a: del] : ( mem @ ( c_2Ewellorder_2Ewleast @ A_27a ) @ ( arr @ ( ty_2Ewellorder_2Ewellorder @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( ty_2Eoption_2Eoption @ A_27a ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(tp_c_2Ewellorder_2Ewo2wo,type,
% 5.64/5.88 c_2Ewellorder_2Ewo2wo: del > del > $i ).
% 5.64/5.88
% 5.64/5.88 thf(mem_c_2Ewellorder_2Ewo2wo,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Ewellorder_2Ewo2wo @ A_27a @ A_27b ) @ ( arr @ ( ty_2Ewellorder_2Ewellorder @ A_27a ) @ ( arr @ ( ty_2Ewellorder_2Ewellorder @ A_27b ) @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(tp_c_2Ewellorder_2Ewobound,type,
% 5.64/5.88 c_2Ewellorder_2Ewobound: del > $i ).
% 5.64/5.88
% 5.64/5.88 thf(mem_c_2Ewellorder_2Ewobound,axiom,
% 5.64/5.88 ! [A_27a: del] : ( mem @ ( c_2Ewellorder_2Ewobound @ A_27a ) @ ( arr @ A_27a @ ( arr @ ( ty_2Ewellorder_2Ewellorder @ A_27a ) @ ( ty_2Ewellorder_2Ewellorder @ A_27a ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(ax_thm_2Ewellorder_2Ewellfounded__def,axiom,
% 5.64/5.88 ! [A_27a: del,V0R: $i] :
% 5.64/5.88 ( ( mem @ V0R @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( c_2Ewellorder_2Ewellfounded @ A_27a ) @ V0R ) )
% 5.64/5.88 <=> ! [V1s: $i] :
% 5.64/5.88 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.64/5.88 => ( ? [V2w: $i] :
% 5.64/5.88 ( ( mem @ V2w @ A_27a )
% 5.64/5.88 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2w ) @ V1s ) ) )
% 5.64/5.88 => ? [V3min: $i] :
% 5.64/5.88 ( ( mem @ V3min @ A_27a )
% 5.64/5.88 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3min ) @ V1s ) )
% 5.64/5.88 & ! [V4w: $i] :
% 5.64/5.88 ( ( mem @ V4w @ A_27a )
% 5.64/5.88 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V4w ) @ V3min ) ) @ V0R ) )
% 5.64/5.88 => ~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V4w ) @ V1s ) ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2Ewellfounded__WF,axiom,
% 5.64/5.88 ! [A_27a: del,V0R: $i] :
% 5.64/5.88 ( ( mem @ V0R @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( c_2Ewellorder_2Ewellfounded @ A_27a ) @ V0R ) )
% 5.64/5.88 <=> ( p @ ( ap @ ( c_2Erelation_2EWF @ A_27a ) @ ( ap @ ( c_2Epair_2ECURRY @ A_27a @ A_27a @ bool ) @ V0R ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(ax_thm_2Ewellorder_2Ewellorder__def,axiom,
% 5.64/5.88 ! [A_27a: del,V0R: $i] :
% 5.64/5.88 ( ( mem @ V0R @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( c_2Ewellorder_2Ewellorder @ A_27a ) @ V0R ) )
% 5.64/5.88 <=> ( ( p @ ( ap @ ( c_2Ewellorder_2Ewellfounded @ A_27a ) @ ( ap @ ( c_2Eset__relation_2Estrict @ A_27a ) @ V0R ) ) )
% 5.64/5.88 & ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Elinear__order @ A_27a ) @ V0R ) @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ ( ap @ ( c_2Eset__relation_2Edomain @ A_27a @ A_27a ) @ V0R ) ) @ ( ap @ ( c_2Eset__relation_2Erange @ A_27a @ A_27a ) @ V0R ) ) ) )
% 5.64/5.88 & ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Ereflexive @ A_27a ) @ V0R ) @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ ( ap @ ( c_2Eset__relation_2Edomain @ A_27a @ A_27a ) @ V0R ) ) @ ( ap @ ( c_2Eset__relation_2Erange @ A_27a @ A_27a ) @ V0R ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2Ewellorder__EMPTY,axiom,
% 5.64/5.88 ! [A_27a: del] : ( p @ ( ap @ ( c_2Ewellorder_2Ewellorder @ A_27a ) @ ( c_2Epred__set_2EEMPTY @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2Ewellorder__SING,axiom,
% 5.64/5.88 ! [A_27a: del,V0x: $i] :
% 5.64/5.88 ( ( mem @ V0x @ A_27a )
% 5.64/5.88 => ! [V1y: $i] :
% 5.64/5.88 ( ( mem @ V1y @ A_27a )
% 5.64/5.88 => ( ( p @ ( ap @ ( c_2Ewellorder_2Ewellorder @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V0x ) @ V1y ) ) @ ( c_2Epred__set_2EEMPTY @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) ) ) )
% 5.64/5.88 <=> ( V0x = V1y ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2Errestrict__SUBSET,axiom,
% 5.64/5.88 ! [A_27a: del,V0r: $i] :
% 5.64/5.88 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.64/5.88 => ! [V1s: $i] :
% 5.64/5.88 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.64/5.88 => ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Eset__relation_2Errestrict @ A_27a ) @ V0r ) @ V1s ) ) @ V0r ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2Ewellfounded__subset,axiom,
% 5.64/5.88 ! [A_27a: del,V0r0: $i] :
% 5.64/5.88 ( ( mem @ V0r0 @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.64/5.88 => ! [V1r: $i] :
% 5.64/5.88 ( ( mem @ V1r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.64/5.88 => ( ( ( p @ ( ap @ ( c_2Ewellorder_2Ewellfounded @ A_27a ) @ V1r ) )
% 5.64/5.88 & ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ V0r0 ) @ V1r ) ) )
% 5.64/5.88 => ( p @ ( ap @ ( c_2Ewellorder_2Ewellfounded @ A_27a ) @ V0r0 ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(ax_thm_2Ewellorder_2Ewellorder__TY__DEF,axiom,
% 5.64/5.88 ! [A_27a: del] :
% 5.64/5.88 ? [V0rep: $i] :
% 5.64/5.88 ( ( mem @ V0rep @ ( arr @ ( ty_2Ewellorder_2Ewellorder @ A_27a ) @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) ) )
% 5.64/5.88 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2ETYPE__DEFINITION @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) @ ( ty_2Ewellorder_2Ewellorder @ A_27a ) ) @ ( c_2Ewellorder_2Ewellorder @ A_27a ) ) @ V0rep ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(ax_thm_2Ewellorder_2Ewellorder__ABSREP,axiom,
% 5.64/5.88 ! [A_27a: del] :
% 5.64/5.88 ( ! [V0a: $i] :
% 5.64/5.88 ( ( mem @ V0a @ ( ty_2Ewellorder_2Ewellorder @ A_27a ) )
% 5.64/5.88 => ( ( ap @ ( c_2Ewellorder_2Ewellorder__ABS @ A_27a ) @ ( ap @ ( c_2Ewellorder_2Ewellorder__REP @ A_27a ) @ V0a ) )
% 5.64/5.88 = V0a ) )
% 5.64/5.88 & ! [V1r: $i] :
% 5.64/5.88 ( ( mem @ V1r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( c_2Ewellorder_2Ewellorder @ A_27a ) @ V1r ) )
% 5.64/5.88 <=> ( ( ap @ ( c_2Ewellorder_2Ewellorder__REP @ A_27a ) @ ( ap @ ( c_2Ewellorder_2Ewellorder__ABS @ A_27a ) @ V1r ) )
% 5.64/5.88 = V1r ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2EmkWO__destWO,axiom,
% 5.64/5.88 ! [A_27a: del,V0a: $i] :
% 5.64/5.88 ( ( mem @ V0a @ ( ty_2Ewellorder_2Ewellorder @ A_27a ) )
% 5.64/5.88 => ( ( ap @ ( c_2Ewellorder_2Ewellorder__ABS @ A_27a ) @ ( ap @ ( c_2Ewellorder_2Ewellorder__REP @ A_27a ) @ V0a ) )
% 5.64/5.88 = V0a ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2EdestWO__mkWO,axiom,
% 5.64/5.88 ! [A_27a: del,V0r: $i] :
% 5.64/5.88 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( c_2Ewellorder_2Ewellorder @ A_27a ) @ V0r ) )
% 5.64/5.88 => ( ( ap @ ( c_2Ewellorder_2Ewellorder__REP @ A_27a ) @ ( ap @ ( c_2Ewellorder_2Ewellorder__ABS @ A_27a ) @ V0r ) )
% 5.64/5.88 = V0r ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(ax_thm_2Ewellorder_2EelsOf__def,axiom,
% 5.64/5.88 ! [A_27a: del,V0w: $i] :
% 5.64/5.88 ( ( mem @ V0w @ ( ty_2Ewellorder_2Ewellorder @ A_27a ) )
% 5.64/5.88 => ( ( ap @ ( c_2Ewellorder_2EelsOf @ A_27a ) @ V0w )
% 5.64/5.88 = ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ ( ap @ ( c_2Eset__relation_2Edomain @ A_27a @ A_27a ) @ ( ap @ ( c_2Ewellorder_2Ewellorder__REP @ A_27a ) @ V0w ) ) ) @ ( ap @ ( c_2Eset__relation_2Erange @ A_27a @ A_27a ) @ ( ap @ ( c_2Ewellorder_2Ewellorder__REP @ A_27a ) @ V0w ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2EWIN__elsOf,axiom,
% 5.64/5.88 ! [A_27a: del,V0x: $i] :
% 5.64/5.88 ( ( mem @ V0x @ A_27a )
% 5.64/5.88 => ! [V1y: $i] :
% 5.64/5.88 ( ( mem @ V1y @ A_27a )
% 5.64/5.88 => ! [V2w: $i] :
% 5.64/5.88 ( ( mem @ V2w @ ( ty_2Ewellorder_2Ewellorder @ A_27a ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V0x ) @ V1y ) ) @ ( ap @ ( c_2Eset__relation_2Estrict @ A_27a ) @ ( ap @ ( c_2Ewellorder_2Ewellorder__REP @ A_27a ) @ V2w ) ) ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0x ) @ ( ap @ ( c_2Ewellorder_2EelsOf @ A_27a ) @ V2w ) ) )
% 5.64/5.88 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V1y ) @ ( ap @ ( c_2Ewellorder_2EelsOf @ A_27a ) @ V2w ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2EWLE__elsOf,axiom,
% 5.64/5.88 ! [A_27a: del,V0x: $i] :
% 5.64/5.88 ( ( mem @ V0x @ A_27a )
% 5.64/5.88 => ! [V1y: $i] :
% 5.64/5.88 ( ( mem @ V1y @ A_27a )
% 5.64/5.88 => ! [V2w: $i] :
% 5.64/5.88 ( ( mem @ V2w @ ( ty_2Ewellorder_2Ewellorder @ A_27a ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V0x ) @ V1y ) ) @ ( ap @ ( c_2Ewellorder_2Ewellorder__REP @ A_27a ) @ V2w ) ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0x ) @ ( ap @ ( c_2Ewellorder_2EelsOf @ A_27a ) @ V2w ) ) )
% 5.64/5.88 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V1y ) @ ( ap @ ( c_2Ewellorder_2EelsOf @ A_27a ) @ V2w ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2EWIN__trichotomy,axiom,
% 5.64/5.88 ! [A_27a: del,V0w: $i] :
% 5.64/5.88 ( ( mem @ V0w @ ( ty_2Ewellorder_2Ewellorder @ A_27a ) )
% 5.64/5.88 => ! [V1x: $i] :
% 5.64/5.88 ( ( mem @ V1x @ A_27a )
% 5.64/5.88 => ! [V2y: $i] :
% 5.64/5.88 ( ( mem @ V2y @ A_27a )
% 5.64/5.88 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V1x ) @ ( ap @ ( c_2Ewellorder_2EelsOf @ A_27a ) @ V0w ) ) )
% 5.64/5.88 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2y ) @ ( ap @ ( c_2Ewellorder_2EelsOf @ A_27a ) @ V0w ) ) ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V1x ) @ V2y ) ) @ ( ap @ ( c_2Eset__relation_2Estrict @ A_27a ) @ ( ap @ ( c_2Ewellorder_2Ewellorder__REP @ A_27a ) @ V0w ) ) ) )
% 5.64/5.88 | ( V1x = V2y )
% 5.64/5.88 | ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V2y ) @ V1x ) ) @ ( ap @ ( c_2Eset__relation_2Estrict @ A_27a ) @ ( ap @ ( c_2Ewellorder_2Ewellorder__REP @ A_27a ) @ V0w ) ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2EWIN__REFL,axiom,
% 5.64/5.88 ! [A_27a: del,V0x: $i] :
% 5.64/5.88 ( ( mem @ V0x @ A_27a )
% 5.64/5.88 => ! [V1w: $i] :
% 5.64/5.88 ( ( mem @ V1w @ ( ty_2Ewellorder_2Ewellorder @ A_27a ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V0x ) @ V0x ) ) @ ( ap @ ( c_2Eset__relation_2Estrict @ A_27a ) @ ( ap @ ( c_2Ewellorder_2Ewellorder__REP @ A_27a ) @ V1w ) ) ) )
% 5.64/5.88 <=> $false ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2EWLE__TRANS,axiom,
% 5.64/5.88 ! [A_27a: del,V0x: $i] :
% 5.64/5.88 ( ( mem @ V0x @ A_27a )
% 5.64/5.88 => ! [V1y: $i] :
% 5.64/5.88 ( ( mem @ V1y @ A_27a )
% 5.64/5.88 => ! [V2w: $i] :
% 5.64/5.88 ( ( mem @ V2w @ ( ty_2Ewellorder_2Ewellorder @ A_27a ) )
% 5.64/5.88 => ! [V3z: $i] :
% 5.64/5.88 ( ( mem @ V3z @ A_27a )
% 5.64/5.88 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V0x ) @ V1y ) ) @ ( ap @ ( c_2Ewellorder_2Ewellorder__REP @ A_27a ) @ V2w ) ) )
% 5.64/5.88 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V1y ) @ V3z ) ) @ ( ap @ ( c_2Ewellorder_2Ewellorder__REP @ A_27a ) @ V2w ) ) ) )
% 5.64/5.88 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V0x ) @ V3z ) ) @ ( ap @ ( c_2Ewellorder_2Ewellorder__REP @ A_27a ) @ V2w ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2EWLE__ANTISYM,axiom,
% 5.64/5.88 ! [A_27a: del,V0x: $i] :
% 5.64/5.88 ( ( mem @ V0x @ A_27a )
% 5.64/5.88 => ! [V1y: $i] :
% 5.64/5.88 ( ( mem @ V1y @ A_27a )
% 5.64/5.88 => ! [V2w: $i] :
% 5.64/5.88 ( ( mem @ V2w @ ( ty_2Ewellorder_2Ewellorder @ A_27a ) )
% 5.64/5.88 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V0x ) @ V1y ) ) @ ( ap @ ( c_2Ewellorder_2Ewellorder__REP @ A_27a ) @ V2w ) ) )
% 5.64/5.88 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V1y ) @ V0x ) ) @ ( ap @ ( c_2Ewellorder_2Ewellorder__REP @ A_27a ) @ V2w ) ) ) )
% 5.64/5.88 => ( V0x = V1y ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2EWIN__WLE,axiom,
% 5.64/5.88 ! [A_27a: del,V0x: $i] :
% 5.64/5.88 ( ( mem @ V0x @ A_27a )
% 5.64/5.88 => ! [V1y: $i] :
% 5.64/5.88 ( ( mem @ V1y @ A_27a )
% 5.64/5.88 => ! [V2w: $i] :
% 5.64/5.88 ( ( mem @ V2w @ ( ty_2Ewellorder_2Ewellorder @ A_27a ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V0x ) @ V1y ) ) @ ( ap @ ( c_2Eset__relation_2Estrict @ A_27a ) @ ( ap @ ( c_2Ewellorder_2Ewellorder__REP @ A_27a ) @ V2w ) ) ) )
% 5.64/5.88 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V0x ) @ V1y ) ) @ ( ap @ ( c_2Ewellorder_2Ewellorder__REP @ A_27a ) @ V2w ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2EelsOf__WLE,axiom,
% 5.64/5.88 ! [A_27a: del,V0x: $i] :
% 5.64/5.88 ( ( mem @ V0x @ A_27a )
% 5.64/5.88 => ! [V1w: $i] :
% 5.64/5.88 ( ( mem @ V1w @ ( ty_2Ewellorder_2Ewellorder @ A_27a ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0x ) @ ( ap @ ( c_2Ewellorder_2EelsOf @ A_27a ) @ V1w ) ) )
% 5.64/5.88 <=> ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V0x ) @ V0x ) ) @ ( ap @ ( c_2Ewellorder_2Ewellorder__REP @ A_27a ) @ V1w ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2Etransitive__strict,axiom,
% 5.64/5.88 ! [A_27a: del,V0r: $i] :
% 5.64/5.88 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.64/5.88 => ( ( ( p @ ( ap @ ( c_2Eset__relation_2Etransitive @ A_27a ) @ V0r ) )
% 5.64/5.88 & ( p @ ( ap @ ( c_2Eset__relation_2Eantisym @ A_27a ) @ V0r ) ) )
% 5.64/5.88 => ( p @ ( ap @ ( c_2Eset__relation_2Etransitive @ A_27a ) @ ( ap @ ( c_2Eset__relation_2Estrict @ A_27a ) @ V0r ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2EWIN__TRANS,axiom,
% 5.64/5.88 ! [A_27a: del,V0x: $i] :
% 5.64/5.88 ( ( mem @ V0x @ A_27a )
% 5.64/5.88 => ! [V1y: $i] :
% 5.64/5.88 ( ( mem @ V1y @ A_27a )
% 5.64/5.88 => ! [V2w: $i] :
% 5.64/5.88 ( ( mem @ V2w @ ( ty_2Ewellorder_2Ewellorder @ A_27a ) )
% 5.64/5.88 => ! [V3z: $i] :
% 5.64/5.88 ( ( mem @ V3z @ A_27a )
% 5.64/5.88 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V0x ) @ V1y ) ) @ ( ap @ ( c_2Eset__relation_2Estrict @ A_27a ) @ ( ap @ ( c_2Ewellorder_2Ewellorder__REP @ A_27a ) @ V2w ) ) ) )
% 5.64/5.88 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V1y ) @ V3z ) ) @ ( ap @ ( c_2Eset__relation_2Estrict @ A_27a ) @ ( ap @ ( c_2Ewellorder_2Ewellorder__REP @ A_27a ) @ V2w ) ) ) ) )
% 5.64/5.88 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V0x ) @ V3z ) ) @ ( ap @ ( c_2Eset__relation_2Estrict @ A_27a ) @ ( ap @ ( c_2Ewellorder_2Ewellorder__REP @ A_27a ) @ V2w ) ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2EWIN__WF,axiom,
% 5.64/5.88 ! [A_27a: del,V0w: $i] :
% 5.64/5.88 ( ( mem @ V0w @ ( ty_2Ewellorder_2Ewellorder @ A_27a ) )
% 5.64/5.88 => ( p
% 5.64/5.88 @ ( ap @ ( c_2Ewellorder_2Ewellfounded @ A_27a )
% 5.64/5.88 @ ( lam @ ( ty_2Epair_2Eprod @ A_27a @ A_27a )
% 5.64/5.88 @ ^ [V1p: $i] : ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ V1p ) @ ( ap @ ( c_2Eset__relation_2Estrict @ A_27a ) @ ( ap @ ( c_2Ewellorder_2Ewellorder__REP @ A_27a ) @ V0w ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2EWIN__WF2,axiom,
% 5.64/5.88 ! [A_27a: del,V0w: $i] :
% 5.64/5.88 ( ( mem @ V0w @ ( ty_2Ewellorder_2Ewellorder @ A_27a ) )
% 5.64/5.88 => ( p
% 5.64/5.88 @ ( ap @ ( c_2Erelation_2EWF @ A_27a )
% 5.64/5.88 @ ( lam @ A_27a
% 5.64/5.88 @ ^ [V1x: $i] :
% 5.64/5.88 ( lam @ A_27a
% 5.64/5.88 @ ^ [V2y: $i] : ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V1x ) @ V2y ) ) @ ( ap @ ( c_2Eset__relation_2Estrict @ A_27a ) @ ( ap @ ( c_2Ewellorder_2Ewellorder__REP @ A_27a ) @ V0w ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(ax_thm_2Ewellorder_2Eiseg__def,axiom,
% 5.64/5.88 ! [A_27a: del,V0w: $i] :
% 5.64/5.88 ( ( mem @ V0w @ ( ty_2Ewellorder_2Ewellorder @ A_27a ) )
% 5.64/5.88 => ! [V1x: $i] :
% 5.64/5.88 ( ( mem @ V1x @ A_27a )
% 5.64/5.88 => ( ( ap @ ( ap @ ( c_2Ewellorder_2Eiseg @ A_27a ) @ V0w ) @ V1x )
% 5.64/5.88 = ( ap @ ( c_2Epred__set_2EGSPEC @ A_27a @ A_27a )
% 5.64/5.88 @ ( lam @ A_27a
% 5.64/5.88 @ ^ [V2y: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ bool ) @ V2y ) @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V2y ) @ V1x ) ) @ ( ap @ ( c_2Eset__relation_2Estrict @ A_27a ) @ ( ap @ ( c_2Ewellorder_2Ewellorder__REP @ A_27a ) @ V0w ) ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2Estrict__subset,axiom,
% 5.64/5.88 ! [A_27a: del,V0r1: $i] :
% 5.64/5.88 ( ( mem @ V0r1 @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.64/5.88 => ! [V1r2: $i] :
% 5.64/5.88 ( ( mem @ V1r2 @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ V0r1 ) @ V1r2 ) )
% 5.64/5.88 => ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( c_2Eset__relation_2Estrict @ A_27a ) @ V0r1 ) ) @ ( ap @ ( c_2Eset__relation_2Estrict @ A_27a ) @ V1r2 ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2Etransitive__rrestrict,axiom,
% 5.64/5.88 ! [A_27a: del,V0r: $i] :
% 5.64/5.88 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.64/5.88 => ! [V1s: $i] :
% 5.64/5.88 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( c_2Eset__relation_2Etransitive @ A_27a ) @ V0r ) )
% 5.64/5.88 => ( p @ ( ap @ ( c_2Eset__relation_2Etransitive @ A_27a ) @ ( ap @ ( ap @ ( c_2Eset__relation_2Errestrict @ A_27a ) @ V0r ) @ V1s ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2Eantisym__rrestrict,axiom,
% 5.64/5.88 ! [A_27a: del,V0r: $i] :
% 5.64/5.88 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.64/5.88 => ! [V1s: $i] :
% 5.64/5.88 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( c_2Eset__relation_2Eantisym @ A_27a ) @ V0r ) )
% 5.64/5.88 => ( p @ ( ap @ ( c_2Eset__relation_2Eantisym @ A_27a ) @ ( ap @ ( ap @ ( c_2Eset__relation_2Errestrict @ A_27a ) @ V0r ) @ V1s ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2Elinear__order__rrestrict,axiom,
% 5.64/5.88 ! [A_27a: del,V0r: $i] :
% 5.64/5.88 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.64/5.88 => ! [V1s: $i] :
% 5.64/5.88 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Elinear__order @ A_27a ) @ V0r ) @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ ( ap @ ( c_2Eset__relation_2Edomain @ A_27a @ A_27a ) @ V0r ) ) @ ( ap @ ( c_2Eset__relation_2Erange @ A_27a @ A_27a ) @ V0r ) ) ) )
% 5.64/5.88 => ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Elinear__order @ A_27a ) @ ( ap @ ( ap @ ( c_2Eset__relation_2Errestrict @ A_27a ) @ V0r ) @ V1s ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ ( ap @ ( c_2Eset__relation_2Edomain @ A_27a @ A_27a ) @ ( ap @ ( ap @ ( c_2Eset__relation_2Errestrict @ A_27a ) @ V0r ) @ V1s ) ) ) @ ( ap @ ( c_2Eset__relation_2Erange @ A_27a @ A_27a ) @ ( ap @ ( ap @ ( c_2Eset__relation_2Errestrict @ A_27a ) @ V0r ) @ V1s ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2Ereflexive__rrestrict,axiom,
% 5.64/5.88 ! [A_27a: del,V0r: $i] :
% 5.64/5.88 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.64/5.88 => ! [V1s: $i] :
% 5.64/5.88 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Ereflexive @ A_27a ) @ V0r ) @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ ( ap @ ( c_2Eset__relation_2Edomain @ A_27a @ A_27a ) @ V0r ) ) @ ( ap @ ( c_2Eset__relation_2Erange @ A_27a @ A_27a ) @ V0r ) ) ) )
% 5.64/5.88 => ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Ereflexive @ A_27a ) @ ( ap @ ( ap @ ( c_2Eset__relation_2Errestrict @ A_27a ) @ V0r ) @ V1s ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ ( ap @ ( c_2Eset__relation_2Edomain @ A_27a @ A_27a ) @ ( ap @ ( ap @ ( c_2Eset__relation_2Errestrict @ A_27a ) @ V0r ) @ V1s ) ) ) @ ( ap @ ( c_2Eset__relation_2Erange @ A_27a @ A_27a ) @ ( ap @ ( ap @ ( c_2Eset__relation_2Errestrict @ A_27a ) @ V0r ) @ V1s ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2Ewellorder__rrestrict,axiom,
% 5.64/5.88 ! [A_27a: del,V0w: $i] :
% 5.64/5.88 ( ( mem @ V0w @ ( ty_2Ewellorder_2Ewellorder @ A_27a ) )
% 5.64/5.88 => ! [V1s: $i] :
% 5.64/5.88 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.64/5.88 => ( p @ ( ap @ ( c_2Ewellorder_2Ewellorder @ A_27a ) @ ( ap @ ( ap @ ( c_2Eset__relation_2Errestrict @ A_27a ) @ ( ap @ ( c_2Ewellorder_2Ewellorder__REP @ A_27a ) @ V0w ) ) @ V1s ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(ax_thm_2Ewellorder_2Ewobound__def,axiom,
% 5.64/5.88 ! [A_27a: del,V0x: $i] :
% 5.64/5.88 ( ( mem @ V0x @ A_27a )
% 5.64/5.88 => ! [V1w: $i] :
% 5.64/5.88 ( ( mem @ V1w @ ( ty_2Ewellorder_2Ewellorder @ A_27a ) )
% 5.64/5.88 => ( ( ap @ ( ap @ ( c_2Ewellorder_2Ewobound @ A_27a ) @ V0x ) @ V1w )
% 5.64/5.88 = ( ap @ ( c_2Ewellorder_2Ewellorder__ABS @ A_27a ) @ ( ap @ ( ap @ ( c_2Eset__relation_2Errestrict @ A_27a ) @ ( ap @ ( c_2Ewellorder_2Ewellorder__REP @ A_27a ) @ V1w ) ) @ ( ap @ ( ap @ ( c_2Ewellorder_2Eiseg @ A_27a ) @ V1w ) @ V0x ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2EWIN__wobound,axiom,
% 5.64/5.88 ! [A_27a: del,V0x: $i] :
% 5.64/5.88 ( ( mem @ V0x @ A_27a )
% 5.64/5.88 => ! [V1y: $i] :
% 5.64/5.88 ( ( mem @ V1y @ A_27a )
% 5.64/5.88 => ! [V2z: $i] :
% 5.64/5.88 ( ( mem @ V2z @ A_27a )
% 5.64/5.88 => ! [V3w: $i] :
% 5.64/5.88 ( ( mem @ V3w @ ( ty_2Ewellorder_2Ewellorder @ A_27a ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V0x ) @ V1y ) ) @ ( ap @ ( c_2Eset__relation_2Estrict @ A_27a ) @ ( ap @ ( c_2Ewellorder_2Ewellorder__REP @ A_27a ) @ ( ap @ ( ap @ ( c_2Ewellorder_2Ewobound @ A_27a ) @ V2z ) @ V3w ) ) ) ) )
% 5.64/5.88 <=> ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V0x ) @ V2z ) ) @ ( ap @ ( c_2Eset__relation_2Estrict @ A_27a ) @ ( ap @ ( c_2Ewellorder_2Ewellorder__REP @ A_27a ) @ V3w ) ) ) )
% 5.64/5.88 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V1y ) @ V2z ) ) @ ( ap @ ( c_2Eset__relation_2Estrict @ A_27a ) @ ( ap @ ( c_2Ewellorder_2Ewellorder__REP @ A_27a ) @ V3w ) ) ) )
% 5.64/5.88 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V0x ) @ V1y ) ) @ ( ap @ ( c_2Eset__relation_2Estrict @ A_27a ) @ ( ap @ ( c_2Ewellorder_2Ewellorder__REP @ A_27a ) @ V3w ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2EWLE__wobound,axiom,
% 5.64/5.88 ! [A_27a: del,V0x: $i] :
% 5.64/5.88 ( ( mem @ V0x @ A_27a )
% 5.64/5.88 => ! [V1y: $i] :
% 5.64/5.88 ( ( mem @ V1y @ A_27a )
% 5.64/5.88 => ! [V2z: $i] :
% 5.64/5.88 ( ( mem @ V2z @ A_27a )
% 5.64/5.88 => ! [V3w: $i] :
% 5.64/5.88 ( ( mem @ V3w @ ( ty_2Ewellorder_2Ewellorder @ A_27a ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V0x ) @ V1y ) ) @ ( ap @ ( c_2Ewellorder_2Ewellorder__REP @ A_27a ) @ ( ap @ ( ap @ ( c_2Ewellorder_2Ewobound @ A_27a ) @ V2z ) @ V3w ) ) ) )
% 5.64/5.88 <=> ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V0x ) @ V2z ) ) @ ( ap @ ( c_2Eset__relation_2Estrict @ A_27a ) @ ( ap @ ( c_2Ewellorder_2Ewellorder__REP @ A_27a ) @ V3w ) ) ) )
% 5.64/5.88 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V1y ) @ V2z ) ) @ ( ap @ ( c_2Eset__relation_2Estrict @ A_27a ) @ ( ap @ ( c_2Ewellorder_2Ewellorder__REP @ A_27a ) @ V3w ) ) ) )
% 5.64/5.88 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V0x ) @ V1y ) ) @ ( ap @ ( c_2Ewellorder_2Ewellorder__REP @ A_27a ) @ V3w ) ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2Ewellorder__cases,axiom,
% 5.64/5.88 ! [A_27a: del,V0w: $i] :
% 5.64/5.88 ( ( mem @ V0w @ ( ty_2Ewellorder_2Ewellorder @ A_27a ) )
% 5.64/5.88 => ? [V1s: $i] :
% 5.64/5.88 ( ( mem @ V1s @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.64/5.88 & ( p @ ( ap @ ( c_2Ewellorder_2Ewellorder @ A_27a ) @ V1s ) )
% 5.64/5.88 & ( V0w
% 5.64/5.88 = ( ap @ ( c_2Ewellorder_2Ewellorder__ABS @ A_27a ) @ V1s ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2EWEXTENSION,axiom,
% 5.64/5.88 ! [A_27a: del,V0w1: $i] :
% 5.64/5.88 ( ( mem @ V0w1 @ ( ty_2Ewellorder_2Ewellorder @ A_27a ) )
% 5.64/5.88 => ! [V1w2: $i] :
% 5.64/5.88 ( ( mem @ V1w2 @ ( ty_2Ewellorder_2Ewellorder @ A_27a ) )
% 5.64/5.88 => ( ( V0w1 = V1w2 )
% 5.64/5.88 <=> ! [V2a: $i] :
% 5.64/5.88 ( ( mem @ V2a @ A_27a )
% 5.64/5.88 => ! [V3b: $i] :
% 5.64/5.88 ( ( mem @ V3b @ A_27a )
% 5.64/5.88 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V2a ) @ V3b ) ) @ ( ap @ ( c_2Ewellorder_2Ewellorder__REP @ A_27a ) @ V0w1 ) ) )
% 5.64/5.88 <=> ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V2a ) @ V3b ) ) @ ( ap @ ( c_2Ewellorder_2Ewellorder__REP @ A_27a ) @ V1w2 ) ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2Ewobound2,axiom,
% 5.64/5.88 ! [A_27a: del,V0a: $i] :
% 5.64/5.88 ( ( mem @ V0a @ A_27a )
% 5.64/5.88 => ! [V1b: $i] :
% 5.64/5.88 ( ( mem @ V1b @ A_27a )
% 5.64/5.88 => ! [V2w: $i] :
% 5.64/5.88 ( ( mem @ V2w @ ( ty_2Ewellorder_2Ewellorder @ A_27a ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V0a ) @ V1b ) ) @ ( ap @ ( c_2Eset__relation_2Estrict @ A_27a ) @ ( ap @ ( c_2Ewellorder_2Ewellorder__REP @ A_27a ) @ V2w ) ) ) )
% 5.64/5.88 => ( ( ap @ ( ap @ ( c_2Ewellorder_2Ewobound @ A_27a ) @ V0a ) @ ( ap @ ( ap @ ( c_2Ewellorder_2Ewobound @ A_27a ) @ V1b ) @ V2w ) )
% 5.64/5.88 = ( ap @ ( ap @ ( c_2Ewellorder_2Ewobound @ A_27a ) @ V0a ) @ V2w ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(stp_c_ty_2Epair_2Eprod_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum_o,type,
% 5.64/5.88 tp__c_ty_2Epair_2Eprod_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum_o: $tType ).
% 5.64/5.88
% 5.64/5.88 thf(stp_inj_c_ty_2Epair_2Eprod_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum_o,type,
% 5.64/5.88 inj__c_ty_2Epair_2Eprod_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum_o: tp__c_ty_2Epair_2Eprod_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum_o > $i ).
% 5.64/5.88
% 5.64/5.88 thf(stp_surj_c_ty_2Epair_2Eprod_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum_o,type,
% 5.64/5.88 surj__c_ty_2Epair_2Eprod_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum_o: $i > tp__c_ty_2Epair_2Eprod_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum_o ).
% 5.64/5.88
% 5.64/5.88 thf(stp_inj_surj_c_ty_2Epair_2Eprod_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum_o,axiom,
% 5.64/5.88 ! [X: tp__c_ty_2Epair_2Eprod_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum_o] :
% 5.64/5.88 ( ( surj__c_ty_2Epair_2Eprod_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum_o @ ( inj__c_ty_2Epair_2Eprod_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum_o @ X ) )
% 5.64/5.88 = X ) ).
% 5.64/5.88
% 5.64/5.88 thf(stp_inj_mem_c_ty_2Epair_2Eprod_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum_o,axiom,
% 5.64/5.88 ! [X: tp__c_ty_2Epair_2Eprod_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum_o] : ( mem @ ( inj__c_ty_2Epair_2Eprod_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum_o @ X ) @ ( ty_2Epair_2Eprod @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ bool ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(stp_iso_mem_c_ty_2Epair_2Eprod_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum_o,axiom,
% 5.64/5.88 ! [X: $i] :
% 5.64/5.88 ( ( mem @ X @ ( ty_2Epair_2Eprod @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ bool ) )
% 5.64/5.88 => ( X
% 5.64/5.88 = ( inj__c_ty_2Epair_2Eprod_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum_o @ ( surj__c_ty_2Epair_2Eprod_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum_o @ X ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2Ewellorder__fromNat,axiom,
% 5.64/5.88 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.64/5.88 ( p
% 5.64/5.88 @ ( ap @ ( c_2Ewellorder_2Ewellorder @ ty_2Enum_2Enum )
% 5.64/5.88 @ ( ap @ ( c_2Epred__set_2EGSPEC @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.64/5.88 @ ( ap @ ( c_2Epair_2EUNCURRY @ ty_2Enum_2Enum @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ bool ) )
% 5.64/5.88 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.88 @ ^ [V1i: $i] :
% 5.64/5.88 ( lam @ ty_2Enum_2Enum
% 5.64/5.88 @ ^ [V2j: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ bool ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ V1i ) @ V2j ) ) @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ V1i ) @ V2j ) ) @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ V2j ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2EINJ__preserves__transitive,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,V0r: $i] :
% 5.64/5.88 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.64/5.88 => ! [V1f: $i] :
% 5.64/5.88 ( ( mem @ V1f @ ( arr @ A_27a @ A_27b ) )
% 5.64/5.88 => ! [V2t: $i] :
% 5.64/5.88 ( ( mem @ V2t @ ( arr @ A_27b @ bool ) )
% 5.64/5.88 => ( ( ( p @ ( ap @ ( c_2Eset__relation_2Etransitive @ A_27a ) @ V0r ) )
% 5.64/5.88 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EINJ @ A_27a @ A_27b ) @ V1f ) @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ ( ap @ ( c_2Eset__relation_2Edomain @ A_27a @ A_27a ) @ V0r ) ) @ ( ap @ ( c_2Eset__relation_2Erange @ A_27a @ A_27a ) @ V0r ) ) ) @ V2t ) ) )
% 5.64/5.88 => ( p @ ( ap @ ( c_2Eset__relation_2Etransitive @ A_27b ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ ( ty_2Epair_2Eprod @ A_27b @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_23_23 @ A_27a @ A_27a @ A_27b @ A_27b ) @ V1f ) @ V1f ) ) @ V0r ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2EINJ__preserves__antisym,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,V0r: $i] :
% 5.64/5.88 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.64/5.88 => ! [V1f: $i] :
% 5.64/5.88 ( ( mem @ V1f @ ( arr @ A_27a @ A_27b ) )
% 5.64/5.88 => ! [V2t: $i] :
% 5.64/5.88 ( ( mem @ V2t @ ( arr @ A_27b @ bool ) )
% 5.64/5.88 => ( ( ( p @ ( ap @ ( c_2Eset__relation_2Eantisym @ A_27a ) @ V0r ) )
% 5.64/5.88 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EINJ @ A_27a @ A_27b ) @ V1f ) @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ ( ap @ ( c_2Eset__relation_2Edomain @ A_27a @ A_27a ) @ V0r ) ) @ ( ap @ ( c_2Eset__relation_2Erange @ A_27a @ A_27a ) @ V0r ) ) ) @ V2t ) ) )
% 5.64/5.88 => ( p @ ( ap @ ( c_2Eset__relation_2Eantisym @ A_27b ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ ( ty_2Epair_2Eprod @ A_27b @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_23_23 @ A_27a @ A_27a @ A_27b @ A_27b ) @ V1f ) @ V1f ) ) @ V0r ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2EINJ__preserves__linear__order,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,V0r: $i] :
% 5.64/5.88 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.64/5.88 => ! [V1f: $i] :
% 5.64/5.88 ( ( mem @ V1f @ ( arr @ A_27a @ A_27b ) )
% 5.64/5.88 => ! [V2t: $i] :
% 5.64/5.88 ( ( mem @ V2t @ ( arr @ A_27b @ bool ) )
% 5.64/5.88 => ( ( ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Elinear__order @ A_27a ) @ V0r ) @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ ( ap @ ( c_2Eset__relation_2Edomain @ A_27a @ A_27a ) @ V0r ) ) @ ( ap @ ( c_2Eset__relation_2Erange @ A_27a @ A_27a ) @ V0r ) ) ) )
% 5.64/5.88 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EINJ @ A_27a @ A_27b ) @ V1f ) @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ ( ap @ ( c_2Eset__relation_2Edomain @ A_27a @ A_27a ) @ V0r ) ) @ ( ap @ ( c_2Eset__relation_2Erange @ A_27a @ A_27a ) @ V0r ) ) ) @ V2t ) ) )
% 5.64/5.88 => ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Elinear__order @ A_27b ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ ( ty_2Epair_2Eprod @ A_27b @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_23_23 @ A_27a @ A_27a @ A_27b @ A_27b ) @ V1f ) @ V1f ) ) @ V0r ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ A_27b ) @ V1f ) @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ ( ap @ ( c_2Eset__relation_2Edomain @ A_27a @ A_27a ) @ V0r ) ) @ ( ap @ ( c_2Eset__relation_2Erange @ A_27a @ A_27a ) @ V0r ) ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2Edomain__IMAGE__ff,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0f: $i] :
% 5.64/5.88 ( ( mem @ V0f @ ( arr @ A_27c @ A_27a ) )
% 5.64/5.88 => ! [V1g: $i] :
% 5.64/5.88 ( ( mem @ V1g @ ( arr @ A_27d @ A_27b ) )
% 5.64/5.88 => ! [V2r: $i] :
% 5.64/5.88 ( ( mem @ V2r @ ( arr @ ( ty_2Epair_2Eprod @ A_27c @ A_27d ) @ bool ) )
% 5.64/5.88 => ( ( ap @ ( c_2Eset__relation_2Edomain @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ ( ty_2Epair_2Eprod @ A_27c @ A_27d ) @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_23_23 @ A_27c @ A_27d @ A_27a @ A_27b ) @ V0f ) @ V1g ) ) @ V2r ) )
% 5.64/5.88 = ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27c @ A_27a ) @ V0f ) @ ( ap @ ( c_2Eset__relation_2Edomain @ A_27c @ A_27d ) @ V2r ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2Erange__IMAGE__ff,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0f: $i] :
% 5.64/5.88 ( ( mem @ V0f @ ( arr @ A_27c @ A_27b ) )
% 5.64/5.88 => ! [V1g: $i] :
% 5.64/5.88 ( ( mem @ V1g @ ( arr @ A_27d @ A_27a ) )
% 5.64/5.88 => ! [V2r: $i] :
% 5.64/5.88 ( ( mem @ V2r @ ( arr @ ( ty_2Epair_2Eprod @ A_27c @ A_27d ) @ bool ) )
% 5.64/5.88 => ( ( ap @ ( c_2Eset__relation_2Erange @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ ( ty_2Epair_2Eprod @ A_27c @ A_27d ) @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_23_23 @ A_27c @ A_27d @ A_27b @ A_27a ) @ V0f ) @ V1g ) ) @ V2r ) )
% 5.64/5.88 = ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27d @ A_27a ) @ V1g ) @ ( ap @ ( c_2Eset__relation_2Erange @ A_27d @ A_27c ) @ V2r ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2EINJ__preserves__wellorder,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,V0r: $i] :
% 5.64/5.88 ( ( mem @ V0r @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.64/5.88 => ! [V1f: $i] :
% 5.64/5.88 ( ( mem @ V1f @ ( arr @ A_27a @ A_27b ) )
% 5.64/5.88 => ! [V2t: $i] :
% 5.64/5.88 ( ( mem @ V2t @ ( arr @ A_27b @ bool ) )
% 5.64/5.88 => ( ( ( p @ ( ap @ ( c_2Ewellorder_2Ewellorder @ A_27a ) @ V0r ) )
% 5.64/5.88 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EINJ @ A_27a @ A_27b ) @ V1f ) @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ ( ap @ ( c_2Eset__relation_2Edomain @ A_27a @ A_27a ) @ V0r ) ) @ ( ap @ ( c_2Eset__relation_2Erange @ A_27a @ A_27a ) @ V0r ) ) ) @ V2t ) ) )
% 5.64/5.88 => ( p @ ( ap @ ( c_2Ewellorder_2Ewellorder @ A_27b ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ ( ty_2Epair_2Eprod @ A_27b @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_23_23 @ A_27a @ A_27a @ A_27b @ A_27b ) @ V1f ) @ V1f ) ) @ V0r ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2Ewellorder__fromNat__SUM,axiom,
% 5.64/5.88 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum] :
% 5.64/5.88 ( p
% 5.64/5.88 @ ( ap @ ( c_2Ewellorder_2Ewellorder @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ A_27a ) )
% 5.64/5.88 @ ( ap @ ( c_2Epred__set_2EGSPEC @ ( ty_2Epair_2Eprod @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ A_27a ) @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ A_27a ) ) @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.64/5.88 @ ( ap @ ( c_2Epair_2EUNCURRY @ ty_2Enum_2Enum @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ( ty_2Epair_2Eprod @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ A_27a ) @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ A_27a ) ) @ bool ) )
% 5.64/5.88 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.88 @ ^ [V1i: $i] :
% 5.64/5.88 ( lam @ ty_2Enum_2Enum
% 5.64/5.88 @ ^ [V2j: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Epair_2Eprod @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ A_27a ) @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ A_27a ) ) @ bool ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ A_27a ) @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ A_27a ) ) @ ( ap @ ( c_2Esum_2EINL @ ty_2Enum_2Enum @ A_27a ) @ V1i ) ) @ ( ap @ ( c_2Esum_2EINL @ ty_2Enum_2Enum @ A_27a ) @ V2j ) ) ) @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ V1i ) @ V2j ) ) @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ V2j ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(ax_thm_2Ewellorder_2EfromNatWO__def,axiom,
% 5.64/5.88 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum] :
% 5.64/5.88 ( ( ap @ ( c_2Ewellorder_2EfromNatWO @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) )
% 5.64/5.88 = ( ap @ ( c_2Ewellorder_2Ewellorder__ABS @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ A_27a ) )
% 5.64/5.88 @ ( ap @ ( c_2Epred__set_2EGSPEC @ ( ty_2Epair_2Eprod @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ A_27a ) @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ A_27a ) ) @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.64/5.88 @ ( ap @ ( c_2Epair_2EUNCURRY @ ty_2Enum_2Enum @ ty_2Enum_2Enum @ ( ty_2Epair_2Eprod @ ( ty_2Epair_2Eprod @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ A_27a ) @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ A_27a ) ) @ bool ) )
% 5.64/5.88 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.88 @ ^ [V1i: $i] :
% 5.64/5.88 ( lam @ ty_2Enum_2Enum
% 5.64/5.88 @ ^ [V2j: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Epair_2Eprod @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ A_27a ) @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ A_27a ) ) @ bool ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ A_27a ) @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ A_27a ) ) @ ( ap @ ( c_2Esum_2EINL @ ty_2Enum_2Enum @ A_27a ) @ V1i ) ) @ ( ap @ ( c_2Esum_2EINL @ ty_2Enum_2Enum @ A_27a ) @ V2j ) ) ) @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ V1i ) @ V2j ) ) @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ V2j ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2EfromNatWO__11,axiom,
% 5.64/5.88 ! [A_27a: del,V0i: tp__ty_2Enum_2Enum,V1j: tp__ty_2Enum_2Enum] :
% 5.64/5.88 ( ( ( ap @ ( c_2Ewellorder_2EfromNatWO @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0i ) )
% 5.64/5.88 = ( ap @ ( c_2Ewellorder_2EfromNatWO @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1j ) ) )
% 5.64/5.88 <=> ( V0i = V1j ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2EelsOf__fromNatWO,axiom,
% 5.64/5.88 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum] :
% 5.64/5.88 ( ( ap @ ( c_2Ewellorder_2EelsOf @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ A_27a ) ) @ ( ap @ ( c_2Ewellorder_2EfromNatWO @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.64/5.88 = ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ ty_2Enum_2Enum @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ A_27a ) ) @ ( c_2Esum_2EINL @ ty_2Enum_2Enum @ A_27a ) ) @ ( ap @ c_2Epred__set_2Ecount @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2EWLE__WIN,axiom,
% 5.64/5.88 ! [A_27a: del,V0x: $i] :
% 5.64/5.88 ( ( mem @ V0x @ A_27a )
% 5.64/5.88 => ! [V1y: $i] :
% 5.64/5.88 ( ( mem @ V1y @ A_27a )
% 5.64/5.88 => ! [V2w: $i] :
% 5.64/5.88 ( ( mem @ V2w @ ( ty_2Ewellorder_2Ewellorder @ A_27a ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V0x ) @ V1y ) ) @ ( ap @ ( c_2Ewellorder_2Ewellorder__REP @ A_27a ) @ V2w ) ) )
% 5.64/5.88 => ( ( V0x = V1y )
% 5.64/5.88 | ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V0x ) @ V1y ) ) @ ( ap @ ( c_2Eset__relation_2Estrict @ A_27a ) @ ( ap @ ( c_2Ewellorder_2Ewellorder__REP @ A_27a ) @ V2w ) ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2EelsOf__wobound,axiom,
% 5.64/5.88 ! [A_27a: del,V0x: $i] :
% 5.64/5.88 ( ( mem @ V0x @ A_27a )
% 5.64/5.88 => ! [V1w: $i] :
% 5.64/5.88 ( ( mem @ V1w @ ( ty_2Ewellorder_2Ewellorder @ A_27a ) )
% 5.64/5.88 => ( ( ap @ ( c_2Ewellorder_2EelsOf @ A_27a ) @ ( ap @ ( ap @ ( c_2Ewellorder_2Ewobound @ A_27a ) @ V0x ) @ V1w ) )
% 5.64/5.88 = ( ap @ ( c_2Epred__set_2EGSPEC @ A_27a @ A_27a )
% 5.64/5.88 @ ( lam @ A_27a
% 5.64/5.88 @ ^ [V2y: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ bool ) @ V2y ) @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V2y ) @ V0x ) ) @ ( ap @ ( c_2Eset__relation_2Estrict @ A_27a ) @ ( ap @ ( c_2Ewellorder_2Ewellorder__REP @ A_27a ) @ V1w ) ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(ax_thm_2Ewellorder_2Eorderiso__def,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,V0w1: $i] :
% 5.64/5.88 ( ( mem @ V0w1 @ ( ty_2Ewellorder_2Ewellorder @ A_27a ) )
% 5.64/5.88 => ! [V1w2: $i] :
% 5.64/5.88 ( ( mem @ V1w2 @ ( ty_2Ewellorder_2Ewellorder @ A_27b ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( ap @ ( c_2Ewellorder_2Eorderiso @ A_27a @ A_27b ) @ V0w1 ) @ V1w2 ) )
% 5.64/5.88 <=> ? [V2f: $i] :
% 5.64/5.88 ( ( mem @ V2f @ ( arr @ A_27a @ A_27b ) )
% 5.64/5.88 & ! [V3x: $i] :
% 5.64/5.88 ( ( mem @ V3x @ A_27a )
% 5.64/5.88 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3x ) @ ( ap @ ( c_2Ewellorder_2EelsOf @ A_27a ) @ V0w1 ) ) )
% 5.64/5.88 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ ( ap @ V2f @ V3x ) ) @ ( ap @ ( c_2Ewellorder_2EelsOf @ A_27b ) @ V1w2 ) ) ) ) )
% 5.64/5.88 & ! [V4x1: $i] :
% 5.64/5.88 ( ( mem @ V4x1 @ A_27a )
% 5.64/5.88 => ! [V5x2: $i] :
% 5.64/5.88 ( ( mem @ V5x2 @ A_27a )
% 5.64/5.88 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V4x1 ) @ ( ap @ ( c_2Ewellorder_2EelsOf @ A_27a ) @ V0w1 ) ) )
% 5.64/5.88 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V5x2 ) @ ( ap @ ( c_2Ewellorder_2EelsOf @ A_27a ) @ V0w1 ) ) ) )
% 5.64/5.88 => ( ( ( ap @ V2f @ V4x1 )
% 5.64/5.88 = ( ap @ V2f @ V5x2 ) )
% 5.64/5.88 <=> ( V4x1 = V5x2 ) ) ) ) )
% 5.64/5.88 & ! [V6y: $i] :
% 5.64/5.88 ( ( mem @ V6y @ A_27b )
% 5.64/5.88 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ V6y ) @ ( ap @ ( c_2Ewellorder_2EelsOf @ A_27b ) @ V1w2 ) ) )
% 5.64/5.88 => ? [V7x: $i] :
% 5.64/5.88 ( ( mem @ V7x @ A_27a )
% 5.64/5.88 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V7x ) @ ( ap @ ( c_2Ewellorder_2EelsOf @ A_27a ) @ V0w1 ) ) )
% 5.64/5.88 & ( ( ap @ V2f @ V7x )
% 5.64/5.88 = V6y ) ) ) )
% 5.64/5.88 & ! [V8x: $i] :
% 5.64/5.88 ( ( mem @ V8x @ A_27a )
% 5.64/5.88 => ! [V9y: $i] :
% 5.64/5.88 ( ( mem @ V9y @ A_27a )
% 5.64/5.88 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V8x ) @ V9y ) ) @ ( ap @ ( c_2Eset__relation_2Estrict @ A_27a ) @ ( ap @ ( c_2Ewellorder_2Ewellorder__REP @ A_27a ) @ V0w1 ) ) ) )
% 5.64/5.88 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27b @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27b @ A_27b ) @ ( ap @ V2f @ V8x ) ) @ ( ap @ V2f @ V9y ) ) ) @ ( ap @ ( c_2Eset__relation_2Estrict @ A_27b ) @ ( ap @ ( c_2Ewellorder_2Ewellorder__REP @ A_27b ) @ V1w2 ) ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2Eorderiso__thm,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,V0w1: $i] :
% 5.64/5.88 ( ( mem @ V0w1 @ ( ty_2Ewellorder_2Ewellorder @ A_27a ) )
% 5.64/5.88 => ! [V1w2: $i] :
% 5.64/5.88 ( ( mem @ V1w2 @ ( ty_2Ewellorder_2Ewellorder @ A_27b ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( ap @ ( c_2Ewellorder_2Eorderiso @ A_27a @ A_27b ) @ V0w1 ) @ V1w2 ) )
% 5.64/5.88 <=> ? [V2f: $i] :
% 5.64/5.88 ( ( mem @ V2f @ ( arr @ A_27a @ A_27b ) )
% 5.64/5.88 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EBIJ @ A_27a @ A_27b ) @ V2f ) @ ( ap @ ( c_2Ewellorder_2EelsOf @ A_27a ) @ V0w1 ) ) @ ( ap @ ( c_2Ewellorder_2EelsOf @ A_27b ) @ V1w2 ) ) )
% 5.64/5.88 & ! [V3x: $i] :
% 5.64/5.88 ( ( mem @ V3x @ A_27a )
% 5.64/5.88 => ! [V4y: $i] :
% 5.64/5.88 ( ( mem @ V4y @ A_27a )
% 5.64/5.88 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V3x ) @ V4y ) ) @ ( ap @ ( c_2Eset__relation_2Estrict @ A_27a ) @ ( ap @ ( c_2Ewellorder_2Ewellorder__REP @ A_27a ) @ V0w1 ) ) ) )
% 5.64/5.88 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27b @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27b @ A_27b ) @ ( ap @ V2f @ V3x ) ) @ ( ap @ V2f @ V4y ) ) ) @ ( ap @ ( c_2Eset__relation_2Estrict @ A_27b ) @ ( ap @ ( c_2Ewellorder_2Ewellorder__REP @ A_27b ) @ V1w2 ) ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2Eorderiso__REFL,axiom,
% 5.64/5.88 ! [A_27a: del,V0w: $i] :
% 5.64/5.88 ( ( mem @ V0w @ ( ty_2Ewellorder_2Ewellorder @ A_27a ) )
% 5.64/5.88 => ( p @ ( ap @ ( ap @ ( c_2Ewellorder_2Eorderiso @ A_27a @ A_27a ) @ V0w ) @ V0w ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2Eorderiso__SYM,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,V0w1: $i] :
% 5.64/5.88 ( ( mem @ V0w1 @ ( ty_2Ewellorder_2Ewellorder @ A_27a ) )
% 5.64/5.88 => ! [V1w2: $i] :
% 5.64/5.88 ( ( mem @ V1w2 @ ( ty_2Ewellorder_2Ewellorder @ A_27b ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( ap @ ( c_2Ewellorder_2Eorderiso @ A_27a @ A_27b ) @ V0w1 ) @ V1w2 ) )
% 5.64/5.88 => ( p @ ( ap @ ( ap @ ( c_2Ewellorder_2Eorderiso @ A_27b @ A_27a ) @ V1w2 ) @ V0w1 ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2Eorderiso__TRANS,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,A_27c: del,V0w1: $i] :
% 5.64/5.88 ( ( mem @ V0w1 @ ( ty_2Ewellorder_2Ewellorder @ A_27a ) )
% 5.64/5.88 => ! [V1w2: $i] :
% 5.64/5.88 ( ( mem @ V1w2 @ ( ty_2Ewellorder_2Ewellorder @ A_27b ) )
% 5.64/5.88 => ! [V2w3: $i] :
% 5.64/5.88 ( ( mem @ V2w3 @ ( ty_2Ewellorder_2Ewellorder @ A_27c ) )
% 5.64/5.88 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ewellorder_2Eorderiso @ A_27a @ A_27b ) @ V0w1 ) @ V1w2 ) )
% 5.64/5.88 & ( p @ ( ap @ ( ap @ ( c_2Ewellorder_2Eorderiso @ A_27b @ A_27c ) @ V1w2 ) @ V2w3 ) ) )
% 5.64/5.88 => ( p @ ( ap @ ( ap @ ( c_2Ewellorder_2Eorderiso @ A_27a @ A_27c ) @ V0w1 ) @ V2w3 ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(ax_thm_2Ewellorder_2Eorderlt__def,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,V0w1: $i] :
% 5.64/5.88 ( ( mem @ V0w1 @ ( ty_2Ewellorder_2Ewellorder @ A_27a ) )
% 5.64/5.88 => ! [V1w2: $i] :
% 5.64/5.88 ( ( mem @ V1w2 @ ( ty_2Ewellorder_2Ewellorder @ A_27b ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( ap @ ( c_2Ewellorder_2Eorderlt @ A_27a @ A_27b ) @ V0w1 ) @ V1w2 ) )
% 5.64/5.88 <=> ? [V2x: $i] :
% 5.64/5.88 ( ( mem @ V2x @ A_27b )
% 5.64/5.88 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ V2x ) @ ( ap @ ( c_2Ewellorder_2EelsOf @ A_27b ) @ V1w2 ) ) )
% 5.64/5.88 & ( p @ ( ap @ ( ap @ ( c_2Ewellorder_2Eorderiso @ A_27a @ A_27b ) @ V0w1 ) @ ( ap @ ( ap @ ( c_2Ewellorder_2Ewobound @ A_27b ) @ V2x ) @ V1w2 ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2Eorderlt__REFL,axiom,
% 5.64/5.88 ! [A_27a: del,V0w: $i] :
% 5.64/5.88 ( ( mem @ V0w @ ( ty_2Ewellorder_2Ewellorder @ A_27a ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( ap @ ( c_2Ewellorder_2Eorderlt @ A_27a @ A_27a ) @ V0w ) @ V0w ) )
% 5.64/5.88 <=> $false ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2Ewobounds__preserve__bijections,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.64/5.88 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.64/5.88 => ! [V1w1: $i] :
% 5.64/5.88 ( ( mem @ V1w1 @ ( ty_2Ewellorder_2Ewellorder @ A_27a ) )
% 5.64/5.88 => ! [V2w2: $i] :
% 5.64/5.88 ( ( mem @ V2w2 @ ( ty_2Ewellorder_2Ewellorder @ A_27b ) )
% 5.64/5.88 => ! [V3x: $i] :
% 5.64/5.88 ( ( mem @ V3x @ A_27a )
% 5.64/5.88 => ( ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EBIJ @ A_27a @ A_27b ) @ V0f ) @ ( ap @ ( c_2Ewellorder_2EelsOf @ A_27a ) @ V1w1 ) ) @ ( ap @ ( c_2Ewellorder_2EelsOf @ A_27b ) @ V2w2 ) ) )
% 5.64/5.88 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3x ) @ ( ap @ ( c_2Ewellorder_2EelsOf @ A_27a ) @ V1w1 ) ) )
% 5.64/5.88 & ! [V4x: $i] :
% 5.64/5.88 ( ( mem @ V4x @ A_27a )
% 5.64/5.88 => ! [V5y: $i] :
% 5.64/5.88 ( ( mem @ V5y @ A_27a )
% 5.64/5.88 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V4x ) @ V5y ) ) @ ( ap @ ( c_2Eset__relation_2Estrict @ A_27a ) @ ( ap @ ( c_2Ewellorder_2Ewellorder__REP @ A_27a ) @ V1w1 ) ) ) )
% 5.64/5.88 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27b @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27b @ A_27b ) @ ( ap @ V0f @ V4x ) ) @ ( ap @ V0f @ V5y ) ) ) @ ( ap @ ( c_2Eset__relation_2Estrict @ A_27b ) @ ( ap @ ( c_2Ewellorder_2Ewellorder__REP @ A_27b ) @ V2w2 ) ) ) ) ) ) ) )
% 5.64/5.88 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EBIJ @ A_27a @ A_27b ) @ V0f ) @ ( ap @ ( c_2Ewellorder_2EelsOf @ A_27a ) @ ( ap @ ( ap @ ( c_2Ewellorder_2Ewobound @ A_27a ) @ V3x ) @ V1w1 ) ) ) @ ( ap @ ( c_2Ewellorder_2EelsOf @ A_27b ) @ ( ap @ ( ap @ ( c_2Ewellorder_2Ewobound @ A_27b ) @ ( ap @ V0f @ V3x ) ) @ V2w2 ) ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2Eorderlt__TRANS,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,A_27c: del,V0w1: $i] :
% 5.64/5.88 ( ( mem @ V0w1 @ ( ty_2Ewellorder_2Ewellorder @ A_27a ) )
% 5.64/5.88 => ! [V1w2: $i] :
% 5.64/5.88 ( ( mem @ V1w2 @ ( ty_2Ewellorder_2Ewellorder @ A_27b ) )
% 5.64/5.88 => ! [V2w3: $i] :
% 5.64/5.88 ( ( mem @ V2w3 @ ( ty_2Ewellorder_2Ewellorder @ A_27c ) )
% 5.64/5.88 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ewellorder_2Eorderlt @ A_27a @ A_27b ) @ V0w1 ) @ V1w2 ) )
% 5.64/5.88 & ( p @ ( ap @ ( ap @ ( c_2Ewellorder_2Eorderlt @ A_27b @ A_27c ) @ V1w2 ) @ V2w3 ) ) )
% 5.64/5.88 => ( p @ ( ap @ ( ap @ ( c_2Ewellorder_2Eorderlt @ A_27a @ A_27c ) @ V0w1 ) @ V2w3 ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(ax_thm_2Ewellorder_2Ewleast__def,axiom,
% 5.64/5.88 ! [A_27a: del,V0w: $i] :
% 5.64/5.88 ( ( mem @ V0w @ ( ty_2Ewellorder_2Ewellorder @ A_27a ) )
% 5.64/5.88 => ! [V1s: $i] :
% 5.64/5.88 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.64/5.88 => ( ( ap @ ( ap @ ( c_2Ewellorder_2Ewleast @ A_27a ) @ V0w ) @ V1s )
% 5.64/5.88 = ( ap @ ( c_2Eoption_2Esome @ A_27a )
% 5.64/5.88 @ ( lam @ A_27a
% 5.64/5.88 @ ^ [V2x: $i] :
% 5.64/5.88 ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ ( ap @ ( c_2Ewellorder_2EelsOf @ A_27a ) @ V0w ) ) )
% 5.64/5.88 @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ c_2Ebool_2E_7E @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V1s ) ) )
% 5.64/5.88 @ ( ap @ ( c_2Ebool_2E_21 @ A_27a )
% 5.64/5.88 @ ( lam @ A_27a
% 5.64/5.88 @ ^ [V3y: $i] : ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3y ) @ ( ap @ ( c_2Ewellorder_2EelsOf @ A_27a ) @ V0w ) ) ) @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ c_2Ebool_2E_7E @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3y ) @ V1s ) ) ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V2x ) @ V3y ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V2x ) @ V3y ) ) @ ( ap @ ( c_2Eset__relation_2Estrict @ A_27a ) @ ( ap @ ( c_2Ewellorder_2Ewellorder__REP @ A_27a ) @ V0w ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(ax_thm_2Ewellorder_2Ewo2wo__def,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,V0w1: $i] :
% 5.64/5.88 ( ( mem @ V0w1 @ ( ty_2Ewellorder_2Ewellorder @ A_27a ) )
% 5.64/5.88 => ! [V1w2: $i] :
% 5.64/5.88 ( ( mem @ V1w2 @ ( ty_2Ewellorder_2Ewellorder @ A_27b ) )
% 5.64/5.88 => ( ( ap @ ( ap @ ( c_2Ewellorder_2Ewo2wo @ A_27a @ A_27b ) @ V0w1 ) @ V1w2 )
% 5.64/5.88 = ( ap
% 5.64/5.88 @ ( ap @ ( c_2Erelation_2EWFREC @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) )
% 5.64/5.88 @ ( lam @ A_27a
% 5.64/5.88 @ ^ [V2x: $i] :
% 5.64/5.88 ( lam @ A_27a
% 5.64/5.88 @ ^ [V3y: $i] : ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V2x ) @ V3y ) ) @ ( ap @ ( c_2Eset__relation_2Estrict @ A_27a ) @ ( ap @ ( c_2Ewellorder_2Ewellorder__REP @ A_27a ) @ V0w1 ) ) ) ) ) )
% 5.64/5.88 @ ( lam @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) )
% 5.64/5.88 @ ^ [V4f: $i] :
% 5.64/5.88 ( lam @ A_27a
% 5.64/5.88 @ ^ [V5x: $i] :
% 5.64/5.88 ( ap
% 5.64/5.88 @ ( ap @ ( c_2Ebool_2ELET @ ( arr @ ( ty_2Eoption_2Eoption @ A_27b ) @ bool ) @ ( ty_2Eoption_2Eoption @ A_27b ) )
% 5.64/5.88 @ ( lam @ ( arr @ ( ty_2Eoption_2Eoption @ A_27b ) @ bool )
% 5.64/5.88 @ ^ [V6s0: $i] :
% 5.64/5.88 ( ap
% 5.64/5.88 @ ( ap @ ( c_2Ebool_2ELET @ ( arr @ A_27b @ bool ) @ ( ty_2Eoption_2Eoption @ A_27b ) )
% 5.64/5.88 @ ( lam @ ( arr @ A_27b @ bool )
% 5.64/5.88 @ ^ [V7s1: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Eoption_2Eoption @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( arr @ A_27b @ bool ) ) @ V7s1 ) @ ( ap @ ( c_2Ewellorder_2EelsOf @ A_27b ) @ V1w2 ) ) ) @ ( c_2Eoption_2ENONE @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Ewellorder_2Ewleast @ A_27b ) @ V1w2 ) @ V7s1 ) ) ) )
% 5.64/5.88 @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ ( ty_2Eoption_2Eoption @ A_27b ) @ A_27b ) @ ( c_2Eoption_2ETHE @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ ( ty_2Eoption_2Eoption @ A_27b ) ) @ V6s0 ) @ ( c_2Eoption_2ENONE @ A_27b ) ) ) ) ) )
% 5.64/5.88 @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) @ V4f ) @ ( ap @ ( ap @ ( c_2Ewellorder_2Eiseg @ A_27a ) @ V0w1 ) @ V5x ) ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2Ewo2wo__thm,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,V0w: $i] :
% 5.64/5.88 ( ( mem @ V0w @ ( ty_2Ewellorder_2Ewellorder @ A_27a ) )
% 5.64/5.88 => ! [V1w2: $i] :
% 5.64/5.88 ( ( mem @ V1w2 @ ( ty_2Ewellorder_2Ewellorder @ A_27b ) )
% 5.64/5.88 => ! [V2x: $i] :
% 5.64/5.88 ( ( mem @ V2x @ A_27a )
% 5.64/5.88 => ( ( ap @ ( ap @ ( ap @ ( c_2Ewellorder_2Ewo2wo @ A_27a @ A_27b ) @ V0w ) @ V1w2 ) @ V2x )
% 5.64/5.88 = ( ap
% 5.64/5.88 @ ( ap @ ( c_2Ebool_2ELET @ ( arr @ ( ty_2Eoption_2Eoption @ A_27b ) @ bool ) @ ( ty_2Eoption_2Eoption @ A_27b ) )
% 5.64/5.88 @ ( lam @ ( arr @ ( ty_2Eoption_2Eoption @ A_27b ) @ bool )
% 5.64/5.88 @ ^ [V3s0: $i] :
% 5.64/5.88 ( ap
% 5.64/5.88 @ ( ap @ ( c_2Ebool_2ELET @ ( arr @ A_27b @ bool ) @ ( ty_2Eoption_2Eoption @ A_27b ) )
% 5.64/5.88 @ ( lam @ ( arr @ A_27b @ bool )
% 5.64/5.88 @ ^ [V4s1: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Eoption_2Eoption @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( arr @ A_27b @ bool ) ) @ V4s1 ) @ ( ap @ ( c_2Ewellorder_2EelsOf @ A_27b ) @ V1w2 ) ) ) @ ( c_2Eoption_2ENONE @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Ewellorder_2Ewleast @ A_27b ) @ V1w2 ) @ V4s1 ) ) ) )
% 5.64/5.88 @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ ( ty_2Eoption_2Eoption @ A_27b ) @ A_27b ) @ ( c_2Eoption_2ETHE @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ ( ty_2Eoption_2Eoption @ A_27b ) ) @ V3s0 ) @ ( c_2Eoption_2ENONE @ A_27b ) ) ) ) ) )
% 5.64/5.88 @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Ewellorder_2Ewo2wo @ A_27a @ A_27b ) @ V0w ) @ V1w2 ) ) @ ( ap @ ( ap @ ( c_2Ewellorder_2Eiseg @ A_27a ) @ V0w ) @ V2x ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2Ewleast__IN__wo,axiom,
% 5.64/5.88 ! [A_27a: del,V0w: $i] :
% 5.64/5.88 ( ( mem @ V0w @ ( ty_2Ewellorder_2Ewellorder @ A_27a ) )
% 5.64/5.88 => ! [V1s: $i] :
% 5.64/5.88 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.64/5.88 => ! [V2x: $i] :
% 5.64/5.88 ( ( mem @ V2x @ A_27a )
% 5.64/5.88 => ( ( ( ap @ ( ap @ ( c_2Ewellorder_2Ewleast @ A_27a ) @ V0w ) @ V1s )
% 5.64/5.88 = ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V2x ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ ( ap @ ( c_2Ewellorder_2EelsOf @ A_27a ) @ V0w ) ) )
% 5.64/5.88 & ~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V1s ) )
% 5.64/5.88 & ! [V3y: $i] :
% 5.64/5.88 ( ( mem @ V3y @ A_27a )
% 5.64/5.88 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3y ) @ ( ap @ ( c_2Ewellorder_2EelsOf @ A_27a ) @ V0w ) ) )
% 5.64/5.88 & ~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3y ) @ V1s ) )
% 5.64/5.88 & ( V2x != V3y ) )
% 5.64/5.88 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V2x ) @ V3y ) ) @ ( ap @ ( c_2Eset__relation_2Estrict @ A_27a ) @ ( ap @ ( c_2Ewellorder_2Ewellorder__REP @ A_27a ) @ V0w ) ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2Ewleast__EQ__NONE,axiom,
% 5.64/5.88 ! [A_27a: del,V0w: $i] :
% 5.64/5.88 ( ( mem @ V0w @ ( ty_2Ewellorder_2Ewellorder @ A_27a ) )
% 5.64/5.88 => ! [V1s: $i] :
% 5.64/5.88 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.64/5.88 => ( ( ( ap @ ( ap @ ( c_2Ewellorder_2Ewleast @ A_27a ) @ V0w ) @ V1s )
% 5.64/5.88 = ( c_2Eoption_2ENONE @ A_27a ) )
% 5.64/5.88 => ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ ( ap @ ( c_2Ewellorder_2EelsOf @ A_27a ) @ V0w ) ) @ V1s ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2Ewo2wo__IN__w2,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,V0w1: $i] :
% 5.64/5.88 ( ( mem @ V0w1 @ ( ty_2Ewellorder_2Ewellorder @ A_27a ) )
% 5.64/5.88 => ! [V1w2: $i] :
% 5.64/5.88 ( ( mem @ V1w2 @ ( ty_2Ewellorder_2Ewellorder @ A_27b ) )
% 5.64/5.88 => ! [V2x: $i] :
% 5.64/5.88 ( ( mem @ V2x @ A_27a )
% 5.64/5.88 => ! [V3y: $i] :
% 5.64/5.88 ( ( mem @ V3y @ A_27b )
% 5.64/5.88 => ( ( ( ap @ ( ap @ ( ap @ ( c_2Ewellorder_2Ewo2wo @ A_27a @ A_27b ) @ V0w1 ) @ V1w2 ) @ V2x )
% 5.64/5.88 = ( ap @ ( c_2Eoption_2ESOME @ A_27b ) @ V3y ) )
% 5.64/5.88 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ V3y ) @ ( ap @ ( c_2Ewellorder_2EelsOf @ A_27b ) @ V1w2 ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2EIMAGE__wo2wo__SUBSET,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,V0w1: $i] :
% 5.64/5.88 ( ( mem @ V0w1 @ ( ty_2Ewellorder_2Ewellorder @ A_27b ) )
% 5.64/5.88 => ! [V1w2: $i] :
% 5.64/5.88 ( ( mem @ V1w2 @ ( ty_2Ewellorder_2Ewellorder @ A_27a ) )
% 5.64/5.88 => ! [V2x: $i] :
% 5.64/5.88 ( ( mem @ V2x @ A_27b )
% 5.64/5.88 => ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ ( ty_2Eoption_2Eoption @ A_27a ) @ A_27a ) @ ( c_2Eoption_2ETHE @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27b @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Ewellorder_2Ewo2wo @ A_27b @ A_27a ) @ V0w1 ) @ V1w2 ) ) @ ( ap @ ( ap @ ( c_2Ewellorder_2Eiseg @ A_27b ) @ V0w1 ) @ V2x ) ) ) @ ( c_2Eoption_2ENONE @ A_27a ) ) ) ) @ ( ap @ ( c_2Ewellorder_2EelsOf @ A_27a ) @ V1w2 ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2Ewo2wo__EQ__NONE,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,V0w1: $i] :
% 5.64/5.88 ( ( mem @ V0w1 @ ( ty_2Ewellorder_2Ewellorder @ A_27a ) )
% 5.64/5.88 => ! [V1w2: $i] :
% 5.64/5.88 ( ( mem @ V1w2 @ ( ty_2Ewellorder_2Ewellorder @ A_27b ) )
% 5.64/5.88 => ! [V2x: $i] :
% 5.64/5.88 ( ( mem @ V2x @ A_27a )
% 5.64/5.88 => ( ( ( ap @ ( ap @ ( ap @ ( c_2Ewellorder_2Ewo2wo @ A_27a @ A_27b ) @ V0w1 ) @ V1w2 ) @ V2x )
% 5.64/5.88 = ( c_2Eoption_2ENONE @ A_27b ) )
% 5.64/5.88 => ! [V3y: $i] :
% 5.64/5.88 ( ( mem @ V3y @ A_27a )
% 5.64/5.88 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V2x ) @ V3y ) ) @ ( ap @ ( c_2Eset__relation_2Estrict @ A_27a ) @ ( ap @ ( c_2Ewellorder_2Ewellorder__REP @ A_27a ) @ V0w1 ) ) ) )
% 5.64/5.88 => ( ( ap @ ( ap @ ( ap @ ( c_2Ewellorder_2Ewo2wo @ A_27a @ A_27b ) @ V0w1 ) @ V1w2 ) @ V3y )
% 5.64/5.88 = ( c_2Eoption_2ENONE @ A_27b ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2Ewo2wo__EQ__SOME__downwards,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,V0w1: $i] :
% 5.64/5.88 ( ( mem @ V0w1 @ ( ty_2Ewellorder_2Ewellorder @ A_27a ) )
% 5.64/5.88 => ! [V1w2: $i] :
% 5.64/5.88 ( ( mem @ V1w2 @ ( ty_2Ewellorder_2Ewellorder @ A_27b ) )
% 5.64/5.88 => ! [V2x: $i] :
% 5.64/5.88 ( ( mem @ V2x @ A_27a )
% 5.64/5.88 => ! [V3y: $i] :
% 5.64/5.88 ( ( mem @ V3y @ A_27b )
% 5.64/5.88 => ( ( ( ap @ ( ap @ ( ap @ ( c_2Ewellorder_2Ewo2wo @ A_27a @ A_27b ) @ V0w1 ) @ V1w2 ) @ V2x )
% 5.64/5.88 = ( ap @ ( c_2Eoption_2ESOME @ A_27b ) @ V3y ) )
% 5.64/5.88 => ! [V4x0: $i] :
% 5.64/5.88 ( ( mem @ V4x0 @ A_27a )
% 5.64/5.88 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V4x0 ) @ V2x ) ) @ ( ap @ ( c_2Eset__relation_2Estrict @ A_27a ) @ ( ap @ ( c_2Ewellorder_2Ewellorder__REP @ A_27a ) @ V0w1 ) ) ) )
% 5.64/5.88 => ? [V5y0: $i] :
% 5.64/5.88 ( ( mem @ V5y0 @ A_27b )
% 5.64/5.88 & ( ( ap @ ( ap @ ( ap @ ( c_2Ewellorder_2Ewo2wo @ A_27a @ A_27b ) @ V0w1 ) @ V1w2 ) @ V4x0 )
% 5.64/5.88 = ( ap @ ( c_2Eoption_2ESOME @ A_27b ) @ V5y0 ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2Emono__woseg,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,V0x1: $i] :
% 5.64/5.88 ( ( mem @ V0x1 @ A_27a )
% 5.64/5.88 => ! [V1x2: $i] :
% 5.64/5.88 ( ( mem @ V1x2 @ A_27a )
% 5.64/5.88 => ! [V2w1: $i] :
% 5.64/5.88 ( ( mem @ V2w1 @ ( ty_2Ewellorder_2Ewellorder @ A_27a ) )
% 5.64/5.88 => ! [V3w2: $i] :
% 5.64/5.88 ( ( mem @ V3w2 @ ( ty_2Ewellorder_2Ewellorder @ A_27b ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V0x1 ) @ V1x2 ) ) @ ( ap @ ( c_2Eset__relation_2Estrict @ A_27a ) @ ( ap @ ( c_2Ewellorder_2Ewellorder__REP @ A_27a ) @ V2w1 ) ) ) )
% 5.64/5.88 => ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27b ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ ( ty_2Eoption_2Eoption @ A_27b ) @ A_27b ) @ ( c_2Eoption_2ETHE @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ ( ty_2Eoption_2Eoption @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Ewellorder_2Ewo2wo @ A_27a @ A_27b ) @ V2w1 ) @ V3w2 ) ) @ ( ap @ ( ap @ ( c_2Ewellorder_2Eiseg @ A_27a ) @ V2w1 ) @ V0x1 ) ) ) @ ( c_2Eoption_2ENONE @ A_27b ) ) ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ ( ty_2Eoption_2Eoption @ A_27b ) @ A_27b ) @ ( c_2Eoption_2ETHE @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ ( ty_2Eoption_2Eoption @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Ewellorder_2Ewo2wo @ A_27a @ A_27b ) @ V2w1 ) @ V3w2 ) ) @ ( ap @ ( ap @ ( c_2Ewellorder_2Eiseg @ A_27a ) @ V2w1 ) @ V1x2 ) ) ) @ ( c_2Eoption_2ENONE @ A_27b ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2Ewo2wo__11,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,V0x1: $i] :
% 5.64/5.88 ( ( mem @ V0x1 @ A_27a )
% 5.64/5.88 => ! [V1w1: $i] :
% 5.64/5.88 ( ( mem @ V1w1 @ ( ty_2Ewellorder_2Ewellorder @ A_27a ) )
% 5.64/5.88 => ! [V2x2: $i] :
% 5.64/5.88 ( ( mem @ V2x2 @ A_27a )
% 5.64/5.88 => ! [V3w2: $i] :
% 5.64/5.88 ( ( mem @ V3w2 @ ( ty_2Ewellorder_2Ewellorder @ A_27b ) )
% 5.64/5.88 => ! [V4y: $i] :
% 5.64/5.88 ( ( mem @ V4y @ A_27b )
% 5.64/5.88 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0x1 ) @ ( ap @ ( c_2Ewellorder_2EelsOf @ A_27a ) @ V1w1 ) ) )
% 5.64/5.88 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x2 ) @ ( ap @ ( c_2Ewellorder_2EelsOf @ A_27a ) @ V1w1 ) ) )
% 5.64/5.88 & ( ( ap @ ( ap @ ( ap @ ( c_2Ewellorder_2Ewo2wo @ A_27a @ A_27b ) @ V1w1 ) @ V3w2 ) @ V0x1 )
% 5.64/5.88 = ( ap @ ( c_2Eoption_2ESOME @ A_27b ) @ V4y ) )
% 5.64/5.88 & ( ( ap @ ( ap @ ( ap @ ( c_2Ewellorder_2Ewo2wo @ A_27a @ A_27b ) @ V1w1 ) @ V3w2 ) @ V2x2 )
% 5.64/5.88 = ( ap @ ( c_2Eoption_2ESOME @ A_27b ) @ V4y ) ) )
% 5.64/5.88 => ( V0x1 = V2x2 ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2Ewleast__SUBSET,axiom,
% 5.64/5.88 ! [A_27a: del,V0w: $i] :
% 5.64/5.88 ( ( mem @ V0w @ ( ty_2Ewellorder_2Ewellorder @ A_27a ) )
% 5.64/5.88 => ! [V1s1: $i] :
% 5.64/5.88 ( ( mem @ V1s1 @ ( arr @ A_27a @ bool ) )
% 5.64/5.88 => ! [V2x: $i] :
% 5.64/5.88 ( ( mem @ V2x @ A_27a )
% 5.64/5.88 => ! [V3s2: $i] :
% 5.64/5.88 ( ( mem @ V3s2 @ ( arr @ A_27a @ bool ) )
% 5.64/5.88 => ! [V4y: $i] :
% 5.64/5.88 ( ( mem @ V4y @ A_27a )
% 5.64/5.88 => ( ( ( ( ap @ ( ap @ ( c_2Ewellorder_2Ewleast @ A_27a ) @ V0w ) @ V1s1 )
% 5.64/5.88 = ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V2x ) )
% 5.64/5.88 & ( ( ap @ ( ap @ ( c_2Ewellorder_2Ewleast @ A_27a ) @ V0w ) @ V3s2 )
% 5.64/5.88 = ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V4y ) )
% 5.64/5.88 & ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V1s1 ) @ V3s2 ) ) )
% 5.64/5.88 => ( ( V2x = V4y )
% 5.64/5.88 | ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V2x ) @ V4y ) ) @ ( ap @ ( c_2Eset__relation_2Estrict @ A_27a ) @ ( ap @ ( c_2Ewellorder_2Ewellorder__REP @ A_27a ) @ V0w ) ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2Ewo2wo__mono,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,V0w1: $i] :
% 5.64/5.88 ( ( mem @ V0w1 @ ( ty_2Ewellorder_2Ewellorder @ A_27b ) )
% 5.64/5.88 => ! [V1w2: $i] :
% 5.64/5.88 ( ( mem @ V1w2 @ ( ty_2Ewellorder_2Ewellorder @ A_27a ) )
% 5.64/5.88 => ! [V2x0: $i] :
% 5.64/5.88 ( ( mem @ V2x0 @ A_27b )
% 5.64/5.88 => ! [V3y0: $i] :
% 5.64/5.88 ( ( mem @ V3y0 @ A_27a )
% 5.64/5.88 => ! [V4x: $i] :
% 5.64/5.88 ( ( mem @ V4x @ A_27b )
% 5.64/5.88 => ! [V5y: $i] :
% 5.64/5.88 ( ( mem @ V5y @ A_27a )
% 5.64/5.88 => ( ( ( ( ap @ ( ap @ ( ap @ ( c_2Ewellorder_2Ewo2wo @ A_27b @ A_27a ) @ V0w1 ) @ V1w2 ) @ V2x0 )
% 5.64/5.88 = ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V3y0 ) )
% 5.64/5.88 & ( ( ap @ ( ap @ ( ap @ ( c_2Ewellorder_2Ewo2wo @ A_27b @ A_27a ) @ V0w1 ) @ V1w2 ) @ V4x )
% 5.64/5.88 = ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V5y ) )
% 5.64/5.88 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27b @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27b @ A_27b ) @ V2x0 ) @ V4x ) ) @ ( ap @ ( c_2Eset__relation_2Estrict @ A_27b ) @ ( ap @ ( c_2Ewellorder_2Ewellorder__REP @ A_27b ) @ V0w1 ) ) ) ) )
% 5.64/5.88 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V3y0 ) @ V5y ) ) @ ( ap @ ( c_2Eset__relation_2Estrict @ A_27a ) @ ( ap @ ( c_2Ewellorder_2Ewellorder__REP @ A_27a ) @ V1w2 ) ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2Ewo2wo__ONTO,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,V0x: $i] :
% 5.64/5.88 ( ( mem @ V0x @ A_27a )
% 5.64/5.88 => ! [V1w1: $i] :
% 5.64/5.88 ( ( mem @ V1w1 @ ( ty_2Ewellorder_2Ewellorder @ A_27a ) )
% 5.64/5.88 => ! [V2w2: $i] :
% 5.64/5.88 ( ( mem @ V2w2 @ ( ty_2Ewellorder_2Ewellorder @ A_27b ) )
% 5.64/5.88 => ! [V3y: $i] :
% 5.64/5.88 ( ( mem @ V3y @ A_27b )
% 5.64/5.88 => ! [V4y0: $i] :
% 5.64/5.88 ( ( mem @ V4y0 @ A_27b )
% 5.64/5.88 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0x ) @ ( ap @ ( c_2Ewellorder_2EelsOf @ A_27a ) @ V1w1 ) ) )
% 5.64/5.88 & ( ( ap @ ( ap @ ( ap @ ( c_2Ewellorder_2Ewo2wo @ A_27a @ A_27b ) @ V1w1 ) @ V2w2 ) @ V0x )
% 5.64/5.88 = ( ap @ ( c_2Eoption_2ESOME @ A_27b ) @ V3y ) )
% 5.64/5.88 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27b @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27b @ A_27b ) @ V4y0 ) @ V3y ) ) @ ( ap @ ( c_2Eset__relation_2Estrict @ A_27b ) @ ( ap @ ( c_2Ewellorder_2Ewellorder__REP @ A_27b ) @ V2w2 ) ) ) ) )
% 5.64/5.88 => ? [V5x0: $i] :
% 5.64/5.88 ( ( mem @ V5x0 @ A_27a )
% 5.64/5.88 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V5x0 ) @ ( ap @ ( c_2Ewellorder_2EelsOf @ A_27a ) @ V1w1 ) ) )
% 5.64/5.88 & ( ( ap @ ( ap @ ( ap @ ( c_2Ewellorder_2Ewo2wo @ A_27a @ A_27b ) @ V1w1 ) @ V2w2 ) @ V5x0 )
% 5.64/5.88 = ( ap @ ( c_2Eoption_2ESOME @ A_27b ) @ V4y0 ) ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2Ewo2wo__EQ__NONE__woseg,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,V0w1: $i] :
% 5.64/5.88 ( ( mem @ V0w1 @ ( ty_2Ewellorder_2Ewellorder @ A_27b ) )
% 5.64/5.88 => ! [V1w2: $i] :
% 5.64/5.88 ( ( mem @ V1w2 @ ( ty_2Ewellorder_2Ewellorder @ A_27a ) )
% 5.64/5.88 => ! [V2x: $i] :
% 5.64/5.88 ( ( mem @ V2x @ A_27b )
% 5.64/5.88 => ( ( ( ap @ ( ap @ ( ap @ ( c_2Ewellorder_2Ewo2wo @ A_27b @ A_27a ) @ V0w1 ) @ V1w2 ) @ V2x )
% 5.64/5.88 = ( c_2Eoption_2ENONE @ A_27a ) )
% 5.64/5.88 => ( ( ap @ ( c_2Ewellorder_2EelsOf @ A_27a ) @ V1w2 )
% 5.64/5.88 = ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ ( ty_2Eoption_2Eoption @ A_27a ) @ A_27a ) @ ( c_2Eoption_2ETHE @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27b @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Ewellorder_2Ewo2wo @ A_27b @ A_27a ) @ V0w1 ) @ V1w2 ) ) @ ( ap @ ( ap @ ( c_2Ewellorder_2Eiseg @ A_27b ) @ V0w1 ) @ V2x ) ) ) @ ( c_2Eoption_2ENONE @ A_27a ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2Eorderlt__trichotomy,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,V0w1: $i] :
% 5.64/5.88 ( ( mem @ V0w1 @ ( ty_2Ewellorder_2Ewellorder @ A_27a ) )
% 5.64/5.88 => ! [V1w2: $i] :
% 5.64/5.88 ( ( mem @ V1w2 @ ( ty_2Ewellorder_2Ewellorder @ A_27b ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( ap @ ( c_2Ewellorder_2Eorderlt @ A_27a @ A_27b ) @ V0w1 ) @ V1w2 ) )
% 5.64/5.88 | ( p @ ( ap @ ( ap @ ( c_2Ewellorder_2Eorderiso @ A_27a @ A_27b ) @ V0w1 ) @ V1w2 ) )
% 5.64/5.88 | ( p @ ( ap @ ( ap @ ( c_2Ewellorder_2Eorderlt @ A_27b @ A_27a ) @ V1w2 ) @ V0w1 ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(ax_thm_2Ewellorder_2EwZERO__def,axiom,
% 5.64/5.88 ! [A_27a: del] :
% 5.64/5.88 ( ( c_2Ewellorder_2EwZERO @ A_27a )
% 5.64/5.88 = ( ap @ ( c_2Ewellorder_2Ewellorder__ABS @ A_27a ) @ ( c_2Epred__set_2EEMPTY @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2EelsOf__wZERO,axiom,
% 5.64/5.88 ! [A_27a: del] :
% 5.64/5.88 ( ( ap @ ( c_2Ewellorder_2EelsOf @ A_27a ) @ ( c_2Ewellorder_2EwZERO @ A_27a ) )
% 5.64/5.88 = ( c_2Epred__set_2EEMPTY @ A_27a ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2EWIN__wZERO,axiom,
% 5.64/5.88 ! [A_27a: del,V0x: $i] :
% 5.64/5.88 ( ( mem @ V0x @ A_27a )
% 5.64/5.88 => ! [V1y: $i] :
% 5.64/5.88 ( ( mem @ V1y @ A_27a )
% 5.64/5.88 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V0x ) @ V1y ) ) @ ( ap @ ( c_2Eset__relation_2Estrict @ A_27a ) @ ( ap @ ( c_2Ewellorder_2Ewellorder__REP @ A_27a ) @ ( c_2Ewellorder_2EwZERO @ A_27a ) ) ) ) )
% 5.64/5.88 <=> $false ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2EWLE__wZERO,axiom,
% 5.64/5.88 ! [A_27a: del,V0x: $i] :
% 5.64/5.88 ( ( mem @ V0x @ A_27a )
% 5.64/5.88 => ! [V1y: $i] :
% 5.64/5.88 ( ( mem @ V1y @ A_27a )
% 5.64/5.88 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V0x ) @ V1y ) ) @ ( ap @ ( c_2Ewellorder_2Ewellorder__REP @ A_27a ) @ ( c_2Ewellorder_2EwZERO @ A_27a ) ) ) )
% 5.64/5.88 <=> $false ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2Eorderiso__wZERO,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,V0w: $i] :
% 5.64/5.88 ( ( mem @ V0w @ ( ty_2Ewellorder_2Ewellorder @ A_27b ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( ap @ ( c_2Ewellorder_2Eorderiso @ A_27a @ A_27b ) @ ( c_2Ewellorder_2EwZERO @ A_27a ) ) @ V0w ) )
% 5.64/5.88 <=> ( V0w
% 5.64/5.88 = ( c_2Ewellorder_2EwZERO @ A_27b ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2EelsOf__EQ__EMPTY,axiom,
% 5.64/5.88 ! [A_27a: del,V0w: $i] :
% 5.64/5.88 ( ( mem @ V0w @ ( ty_2Ewellorder_2Ewellorder @ A_27a ) )
% 5.64/5.88 => ( ( ( ap @ ( c_2Ewellorder_2EelsOf @ A_27a ) @ V0w )
% 5.64/5.88 = ( c_2Epred__set_2EEMPTY @ A_27a ) )
% 5.64/5.88 <=> ( V0w
% 5.64/5.88 = ( c_2Ewellorder_2EwZERO @ A_27a ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2ELT__wZERO,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,V0w: $i] :
% 5.64/5.88 ( ( mem @ V0w @ ( ty_2Ewellorder_2Ewellorder @ A_27a ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( ap @ ( c_2Ewellorder_2Eorderlt @ A_27a @ A_27b ) @ V0w ) @ ( c_2Ewellorder_2EwZERO @ A_27b ) ) )
% 5.64/5.88 <=> $false ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2Eorderlt__WF,axiom,
% 5.64/5.88 ! [A_27a: del] : ( p @ ( ap @ ( c_2Erelation_2EWF @ ( ty_2Ewellorder_2Ewellorder @ A_27a ) ) @ ( c_2Ewellorder_2Eorderlt @ A_27a @ A_27a ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2Eorderlt__orderiso,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0x0: $i] :
% 5.64/5.88 ( ( mem @ V0x0 @ ( ty_2Ewellorder_2Ewellorder @ A_27a ) )
% 5.64/5.88 => ! [V1y0: $i] :
% 5.64/5.88 ( ( mem @ V1y0 @ ( ty_2Ewellorder_2Ewellorder @ A_27b ) )
% 5.64/5.88 => ! [V2a0: $i] :
% 5.64/5.88 ( ( mem @ V2a0 @ ( ty_2Ewellorder_2Ewellorder @ A_27c ) )
% 5.64/5.88 => ! [V3b0: $i] :
% 5.64/5.88 ( ( mem @ V3b0 @ ( ty_2Ewellorder_2Ewellorder @ A_27d ) )
% 5.64/5.88 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ewellorder_2Eorderiso @ A_27a @ A_27b ) @ V0x0 ) @ V1y0 ) )
% 5.64/5.88 & ( p @ ( ap @ ( ap @ ( c_2Ewellorder_2Eorderiso @ A_27c @ A_27d ) @ V2a0 ) @ V3b0 ) ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( ap @ ( c_2Ewellorder_2Eorderlt @ A_27a @ A_27c ) @ V0x0 ) @ V2a0 ) )
% 5.64/5.88 <=> ( p @ ( ap @ ( ap @ ( c_2Ewellorder_2Eorderlt @ A_27b @ A_27d ) @ V1y0 ) @ V3b0 ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(ax_thm_2Ewellorder_2Efinite__def,axiom,
% 5.64/5.88 ! [A_27a: del,V0w: $i] :
% 5.64/5.88 ( ( mem @ V0w @ ( ty_2Ewellorder_2Ewellorder @ A_27a ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( c_2Ewellorder_2Efinite @ A_27a ) @ V0w ) )
% 5.64/5.88 <=> ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ ( ap @ ( c_2Ewellorder_2EelsOf @ A_27a ) @ V0w ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2Efinite__iso,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,V0w1: $i] :
% 5.64/5.88 ( ( mem @ V0w1 @ ( ty_2Ewellorder_2Ewellorder @ A_27a ) )
% 5.64/5.88 => ! [V1w2: $i] :
% 5.64/5.88 ( ( mem @ V1w2 @ ( ty_2Ewellorder_2Ewellorder @ A_27b ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( ap @ ( c_2Ewellorder_2Eorderiso @ A_27a @ A_27b ) @ V0w1 ) @ V1w2 ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( c_2Ewellorder_2Efinite @ A_27a ) @ V0w1 ) )
% 5.64/5.88 <=> ( p @ ( ap @ ( c_2Ewellorder_2Efinite @ A_27b ) @ V1w2 ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2Efinite__wZERO,axiom,
% 5.64/5.88 ! [A_27a: del] : ( p @ ( ap @ ( c_2Ewellorder_2Efinite @ A_27a ) @ ( c_2Ewellorder_2EwZERO @ A_27a ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2Eorderiso__unique,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,V0f1: $i] :
% 5.64/5.88 ( ( mem @ V0f1 @ ( arr @ A_27a @ A_27b ) )
% 5.64/5.88 => ! [V1w1: $i] :
% 5.64/5.88 ( ( mem @ V1w1 @ ( ty_2Ewellorder_2Ewellorder @ A_27a ) )
% 5.64/5.88 => ! [V2w2: $i] :
% 5.64/5.88 ( ( mem @ V2w2 @ ( ty_2Ewellorder_2Ewellorder @ A_27b ) )
% 5.64/5.88 => ! [V3f2: $i] :
% 5.64/5.88 ( ( mem @ V3f2 @ ( arr @ A_27a @ A_27b ) )
% 5.64/5.88 => ( ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EBIJ @ A_27a @ A_27b ) @ V0f1 ) @ ( ap @ ( c_2Ewellorder_2EelsOf @ A_27a ) @ V1w1 ) ) @ ( ap @ ( c_2Ewellorder_2EelsOf @ A_27b ) @ V2w2 ) ) )
% 5.64/5.88 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EBIJ @ A_27a @ A_27b ) @ V3f2 ) @ ( ap @ ( c_2Ewellorder_2EelsOf @ A_27a ) @ V1w1 ) ) @ ( ap @ ( c_2Ewellorder_2EelsOf @ A_27b ) @ V2w2 ) ) )
% 5.64/5.88 & ! [V4x: $i] :
% 5.64/5.88 ( ( mem @ V4x @ A_27a )
% 5.64/5.88 => ! [V5y: $i] :
% 5.64/5.88 ( ( mem @ V5y @ A_27a )
% 5.64/5.88 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V4x ) @ V5y ) ) @ ( ap @ ( c_2Eset__relation_2Estrict @ A_27a ) @ ( ap @ ( c_2Ewellorder_2Ewellorder__REP @ A_27a ) @ V1w1 ) ) ) )
% 5.64/5.88 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27b @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27b @ A_27b ) @ ( ap @ V0f1 @ V4x ) ) @ ( ap @ V0f1 @ V5y ) ) ) @ ( ap @ ( c_2Eset__relation_2Estrict @ A_27b ) @ ( ap @ ( c_2Ewellorder_2Ewellorder__REP @ A_27b ) @ V2w2 ) ) ) ) ) ) )
% 5.64/5.88 & ! [V6x: $i] :
% 5.64/5.88 ( ( mem @ V6x @ A_27a )
% 5.64/5.88 => ! [V7y: $i] :
% 5.64/5.88 ( ( mem @ V7y @ A_27a )
% 5.64/5.88 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V6x ) @ V7y ) ) @ ( ap @ ( c_2Eset__relation_2Estrict @ A_27a ) @ ( ap @ ( c_2Ewellorder_2Ewellorder__REP @ A_27a ) @ V1w1 ) ) ) )
% 5.64/5.88 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27b @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27b @ A_27b ) @ ( ap @ V3f2 @ V6x ) ) @ ( ap @ V3f2 @ V7y ) ) ) @ ( ap @ ( c_2Eset__relation_2Estrict @ A_27b ) @ ( ap @ ( c_2Ewellorder_2Ewellorder__REP @ A_27b ) @ V2w2 ) ) ) ) ) ) ) )
% 5.64/5.88 => ! [V8x: $i] :
% 5.64/5.88 ( ( mem @ V8x @ A_27a )
% 5.64/5.88 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V8x ) @ ( ap @ ( c_2Ewellorder_2EelsOf @ A_27a ) @ V1w1 ) ) )
% 5.64/5.88 => ( ( ap @ V0f1 @ V8x )
% 5.64/5.88 = ( ap @ V3f2 @ V8x ) ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2Eseteq__wlog,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.64/5.88 ( ( mem @ V0P @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.64/5.88 => ! [V1f: $i] :
% 5.64/5.88 ( ( mem @ V1f @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.64/5.88 => ( ( ! [V2a: $i] :
% 5.64/5.88 ( ( mem @ V2a @ A_27a )
% 5.64/5.88 => ! [V3b: $i] :
% 5.64/5.88 ( ( mem @ V3b @ A_27a )
% 5.64/5.88 => ( ( p @ ( ap @ ( ap @ V0P @ V2a ) @ V3b ) )
% 5.64/5.88 => ( p @ ( ap @ ( ap @ V0P @ V3b ) @ V2a ) ) ) ) )
% 5.64/5.88 & ! [V4x: $i] :
% 5.64/5.88 ( ( mem @ V4x @ A_27b )
% 5.64/5.88 => ! [V5a: $i] :
% 5.64/5.88 ( ( mem @ V5a @ A_27a )
% 5.64/5.88 => ! [V6b: $i] :
% 5.64/5.88 ( ( mem @ V6b @ A_27a )
% 5.64/5.88 => ( ( ( p @ ( ap @ ( ap @ V0P @ V5a ) @ V6b ) )
% 5.64/5.88 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ V4x ) @ ( ap @ V1f @ V5a ) ) ) )
% 5.64/5.88 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ V4x ) @ ( ap @ V1f @ V6b ) ) ) ) ) ) ) )
% 5.64/5.88 => ! [V7a: $i] :
% 5.64/5.88 ( ( mem @ V7a @ A_27a )
% 5.64/5.88 => ! [V8b: $i] :
% 5.64/5.88 ( ( mem @ V8b @ A_27a )
% 5.64/5.88 => ( ( p @ ( ap @ ( ap @ V0P @ V7a ) @ V8b ) )
% 5.64/5.88 => ( ( ap @ V1f @ V7a )
% 5.64/5.88 = ( ap @ V1f @ V8b ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2Ewo__INDUCTION,axiom,
% 5.64/5.88 ! [A_27a: del,V0P: $i] :
% 5.64/5.88 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.64/5.88 => ! [V1w: $i] :
% 5.64/5.88 ( ( mem @ V1w @ ( ty_2Ewellorder_2Ewellorder @ A_27a ) )
% 5.64/5.88 => ( ! [V2x: $i] :
% 5.64/5.88 ( ( mem @ V2x @ A_27a )
% 5.64/5.88 => ( ! [V3y: $i] :
% 5.64/5.88 ( ( mem @ V3y @ A_27a )
% 5.64/5.88 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V3y ) @ V2x ) ) @ ( ap @ ( c_2Eset__relation_2Estrict @ A_27a ) @ ( ap @ ( c_2Ewellorder_2Ewellorder__REP @ A_27a ) @ V1w ) ) ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3y ) @ ( ap @ ( c_2Ewellorder_2EelsOf @ A_27a ) @ V1w ) ) )
% 5.64/5.88 => ( p @ ( ap @ V0P @ V3y ) ) ) ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ ( ap @ ( c_2Ewellorder_2EelsOf @ A_27a ) @ V1w ) ) )
% 5.64/5.88 => ( p @ ( ap @ V0P @ V2x ) ) ) ) )
% 5.64/5.88 => ! [V4x: $i] :
% 5.64/5.88 ( ( mem @ V4x @ A_27a )
% 5.64/5.88 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V4x ) @ ( ap @ ( c_2Ewellorder_2EelsOf @ A_27a ) @ V1w ) ) )
% 5.64/5.88 => ( p @ ( ap @ V0P @ V4x ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2EFORALL__NUM,axiom,
% 5.64/5.88 ! [V0P: $i] :
% 5.64/5.88 ( ( mem @ V0P @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.88 => ( ! [V1n: tp__ty_2Enum_2Enum] : ( p @ ( ap @ V0P @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.64/5.88 <=> ( ( p @ ( ap @ V0P @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.64/5.88 & ! [V2n: tp__ty_2Enum_2Enum] : ( p @ ( ap @ V0P @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2Estrict__UNION,axiom,
% 5.64/5.88 ! [A_27a: del,V0r1: $i] :
% 5.64/5.88 ( ( mem @ V0r1 @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.64/5.88 => ! [V1r2: $i] :
% 5.64/5.88 ( ( mem @ V1r2 @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.64/5.88 => ( ( ap @ ( c_2Eset__relation_2Estrict @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ V0r1 ) @ V1r2 ) )
% 5.64/5.88 = ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( c_2Eset__relation_2Estrict @ A_27a ) @ V0r1 ) ) @ ( ap @ ( c_2Eset__relation_2Estrict @ A_27a ) @ V1r2 ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2EWLE__WIN__EQ,axiom,
% 5.64/5.88 ! [A_27a: del,V0x: $i] :
% 5.64/5.88 ( ( mem @ V0x @ A_27a )
% 5.64/5.88 => ! [V1y: $i] :
% 5.64/5.88 ( ( mem @ V1y @ A_27a )
% 5.64/5.88 => ! [V2w: $i] :
% 5.64/5.88 ( ( mem @ V2w @ ( ty_2Ewellorder_2Ewellorder @ A_27a ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V0x ) @ V1y ) ) @ ( ap @ ( c_2Ewellorder_2Ewellorder__REP @ A_27a ) @ V2w ) ) )
% 5.64/5.88 <=> ( ( ( V0x = V1y )
% 5.64/5.88 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0x ) @ ( ap @ ( c_2Ewellorder_2EelsOf @ A_27a ) @ V2w ) ) ) )
% 5.64/5.88 | ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V0x ) @ V1y ) ) @ ( ap @ ( c_2Eset__relation_2Estrict @ A_27a ) @ ( ap @ ( c_2Ewellorder_2Ewellorder__REP @ A_27a ) @ V2w ) ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(ax_thm_2Ewellorder_2Eremove__def,axiom,
% 5.64/5.88 ! [A_27a: del,V0e: $i] :
% 5.64/5.88 ( ( mem @ V0e @ A_27a )
% 5.64/5.88 => ! [V1w: $i] :
% 5.64/5.88 ( ( mem @ V1w @ ( ty_2Ewellorder_2Ewellorder @ A_27a ) )
% 5.64/5.88 => ( ( ap @ ( ap @ ( c_2Ewellorder_2Eremove @ A_27a ) @ V0e ) @ V1w )
% 5.64/5.88 = ( ap @ ( c_2Ewellorder_2Ewellorder__ABS @ A_27a )
% 5.64/5.88 @ ( ap @ ( c_2Epred__set_2EGSPEC @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) )
% 5.64/5.88 @ ( ap @ ( c_2Epair_2EUNCURRY @ A_27a @ A_27a @ ( ty_2Epair_2Eprod @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.64/5.88 @ ( lam @ A_27a
% 5.64/5.88 @ ^ [V2x: $i] :
% 5.64/5.88 ( lam @ A_27a
% 5.64/5.88 @ ^ [V3y: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V2x ) @ V3y ) ) @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ c_2Ebool_2E_7E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V2x ) @ V0e ) ) ) @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ c_2Ebool_2E_7E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V3y ) @ V0e ) ) ) @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V2x ) @ V3y ) ) @ ( ap @ ( c_2Ewellorder_2Ewellorder__REP @ A_27a ) @ V1w ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2Ewellorder__remove,axiom,
% 5.64/5.88 ! [A_27a: del,V0e: $i] :
% 5.64/5.88 ( ( mem @ V0e @ A_27a )
% 5.64/5.88 => ! [V1w: $i] :
% 5.64/5.88 ( ( mem @ V1w @ ( ty_2Ewellorder_2Ewellorder @ A_27a ) )
% 5.64/5.88 => ( p
% 5.64/5.88 @ ( ap @ ( c_2Ewellorder_2Ewellorder @ A_27a )
% 5.64/5.88 @ ( ap @ ( c_2Epred__set_2EGSPEC @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) )
% 5.64/5.88 @ ( ap @ ( c_2Epair_2EUNCURRY @ A_27a @ A_27a @ ( ty_2Epair_2Eprod @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.64/5.88 @ ( lam @ A_27a
% 5.64/5.88 @ ^ [V2x: $i] :
% 5.64/5.88 ( lam @ A_27a
% 5.64/5.88 @ ^ [V3y: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V2x ) @ V3y ) ) @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ c_2Ebool_2E_7E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V2x ) @ V0e ) ) ) @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ c_2Ebool_2E_7E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V3y ) @ V0e ) ) ) @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V2x ) @ V3y ) ) @ ( ap @ ( c_2Ewellorder_2Ewellorder__REP @ A_27a ) @ V1w ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2EelsOf__remove,axiom,
% 5.64/5.88 ! [A_27a: del,V0e: $i] :
% 5.64/5.88 ( ( mem @ V0e @ A_27a )
% 5.64/5.88 => ! [V1w: $i] :
% 5.64/5.88 ( ( mem @ V1w @ ( ty_2Ewellorder_2Ewellorder @ A_27a ) )
% 5.64/5.88 => ( ( ap @ ( c_2Ewellorder_2EelsOf @ A_27a ) @ ( ap @ ( ap @ ( c_2Ewellorder_2Eremove @ A_27a ) @ V0e ) @ V1w ) )
% 5.64/5.88 = ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ A_27a ) @ ( ap @ ( c_2Ewellorder_2EelsOf @ A_27a ) @ V1w ) ) @ V0e ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2EWIN__remove,axiom,
% 5.64/5.88 ! [A_27a: del,V0x: $i] :
% 5.64/5.88 ( ( mem @ V0x @ A_27a )
% 5.64/5.88 => ! [V1y: $i] :
% 5.64/5.88 ( ( mem @ V1y @ A_27a )
% 5.64/5.88 => ! [V2e: $i] :
% 5.64/5.88 ( ( mem @ V2e @ A_27a )
% 5.64/5.88 => ! [V3w: $i] :
% 5.64/5.88 ( ( mem @ V3w @ ( ty_2Ewellorder_2Ewellorder @ A_27a ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V0x ) @ V1y ) ) @ ( ap @ ( c_2Eset__relation_2Estrict @ A_27a ) @ ( ap @ ( c_2Ewellorder_2Ewellorder__REP @ A_27a ) @ ( ap @ ( ap @ ( c_2Ewellorder_2Eremove @ A_27a ) @ V2e ) @ V3w ) ) ) ) )
% 5.64/5.88 <=> ( ( V0x != V2e )
% 5.64/5.88 & ( V1y != V2e )
% 5.64/5.88 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V0x ) @ V1y ) ) @ ( ap @ ( c_2Eset__relation_2Estrict @ A_27a ) @ ( ap @ ( c_2Ewellorder_2Ewellorder__REP @ A_27a ) @ V3w ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(ax_thm_2Ewellorder_2EADD1__def,axiom,
% 5.64/5.88 ! [A_27a: del,V0e: $i] :
% 5.64/5.88 ( ( mem @ V0e @ A_27a )
% 5.64/5.88 => ! [V1w: $i] :
% 5.64/5.88 ( ( mem @ V1w @ ( ty_2Ewellorder_2Ewellorder @ A_27a ) )
% 5.64/5.88 => ( ( ap @ ( ap @ ( c_2Ewellorder_2EADD1 @ A_27a ) @ V0e ) @ V1w )
% 5.64/5.88 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Ewellorder_2Ewellorder @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0e ) @ ( ap @ ( c_2Ewellorder_2EelsOf @ A_27a ) @ V1w ) ) ) @ V1w )
% 5.64/5.88 @ ( ap @ ( c_2Ewellorder_2Ewellorder__ABS @ A_27a )
% 5.64/5.88 @ ( ap
% 5.64/5.88 @ ( ap @ ( c_2Epred__set_2EUNION @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) )
% 5.64/5.88 @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( c_2Ewellorder_2Ewellorder__REP @ A_27a ) @ V1w ) )
% 5.64/5.88 @ ( ap @ ( c_2Epred__set_2EGSPEC @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ A_27a )
% 5.64/5.88 @ ( lam @ A_27a
% 5.64/5.88 @ ^ [V2x: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V2x ) @ V0e ) ) @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ ( ap @ ( c_2Ewellorder_2EelsOf @ A_27a ) @ V1w ) ) ) ) ) ) )
% 5.64/5.88 @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V0e ) @ V0e ) ) @ ( c_2Epred__set_2EEMPTY @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2Ewellorder__ADD1,axiom,
% 5.64/5.88 ! [A_27a: del,V0e: $i] :
% 5.64/5.88 ( ( mem @ V0e @ A_27a )
% 5.64/5.88 => ! [V1w: $i] :
% 5.64/5.88 ( ( mem @ V1w @ ( ty_2Ewellorder_2Ewellorder @ A_27a ) )
% 5.64/5.88 => ( ~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0e ) @ ( ap @ ( c_2Ewellorder_2EelsOf @ A_27a ) @ V1w ) ) )
% 5.64/5.88 => ( p
% 5.64/5.88 @ ( ap @ ( c_2Ewellorder_2Ewellorder @ A_27a )
% 5.64/5.88 @ ( ap
% 5.64/5.88 @ ( ap @ ( c_2Epred__set_2EUNION @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) )
% 5.64/5.88 @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( c_2Ewellorder_2Ewellorder__REP @ A_27a ) @ V1w ) )
% 5.64/5.88 @ ( ap @ ( c_2Epred__set_2EGSPEC @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ A_27a )
% 5.64/5.88 @ ( lam @ A_27a
% 5.64/5.88 @ ^ [V2x: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V2x ) @ V0e ) ) @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ ( ap @ ( c_2Ewellorder_2EelsOf @ A_27a ) @ V1w ) ) ) ) ) ) )
% 5.64/5.88 @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V0e ) @ V0e ) ) @ ( c_2Epred__set_2EEMPTY @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2EelsOf__ADD1,axiom,
% 5.64/5.88 ! [A_27a: del,V0e: $i] :
% 5.64/5.88 ( ( mem @ V0e @ A_27a )
% 5.64/5.88 => ! [V1w: $i] :
% 5.64/5.88 ( ( mem @ V1w @ ( ty_2Ewellorder_2Ewellorder @ A_27a ) )
% 5.64/5.88 => ( ( ap @ ( c_2Ewellorder_2EelsOf @ A_27a ) @ ( ap @ ( ap @ ( c_2Ewellorder_2EADD1 @ A_27a ) @ V0e ) @ V1w ) )
% 5.64/5.88 = ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V0e ) @ ( ap @ ( c_2Ewellorder_2EelsOf @ A_27a ) @ V1w ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2EWIN__ADD1,axiom,
% 5.64/5.88 ! [A_27a: del,V0x: $i] :
% 5.64/5.88 ( ( mem @ V0x @ A_27a )
% 5.64/5.88 => ! [V1y: $i] :
% 5.64/5.88 ( ( mem @ V1y @ A_27a )
% 5.64/5.88 => ! [V2e: $i] :
% 5.64/5.88 ( ( mem @ V2e @ A_27a )
% 5.64/5.88 => ! [V3w: $i] :
% 5.64/5.88 ( ( mem @ V3w @ ( ty_2Ewellorder_2Ewellorder @ A_27a ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V0x ) @ V1y ) ) @ ( ap @ ( c_2Eset__relation_2Estrict @ A_27a ) @ ( ap @ ( c_2Ewellorder_2Ewellorder__REP @ A_27a ) @ ( ap @ ( ap @ ( c_2Ewellorder_2EADD1 @ A_27a ) @ V2e ) @ V3w ) ) ) ) )
% 5.64/5.88 <=> ( ( ~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2e ) @ ( ap @ ( c_2Ewellorder_2EelsOf @ A_27a ) @ V3w ) ) )
% 5.64/5.88 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0x ) @ ( ap @ ( c_2Ewellorder_2EelsOf @ A_27a ) @ V3w ) ) )
% 5.64/5.88 & ( V1y = V2e ) )
% 5.64/5.88 | ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V0x ) @ V1y ) ) @ ( ap @ ( c_2Eset__relation_2Estrict @ A_27a ) @ ( ap @ ( c_2Ewellorder_2Ewellorder__REP @ A_27a ) @ V3w ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2EelsOf__cardeq__iso,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.64/5.88 ( ( mem @ V0f @ ( arr @ A_27b @ A_27a ) )
% 5.64/5.88 => ! [V1wo: $i] :
% 5.64/5.88 ( ( mem @ V1wo @ ( ty_2Ewellorder_2Ewellorder @ A_27b ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EINJ @ A_27b @ A_27a ) @ V0f ) @ ( ap @ ( c_2Ewellorder_2EelsOf @ A_27b ) @ V1wo ) ) @ ( c_2Epred__set_2EUNIV @ A_27a ) ) )
% 5.64/5.88 => ? [V2wo_27: $i] :
% 5.64/5.88 ( ( mem @ V2wo_27 @ ( ty_2Ewellorder_2Ewellorder @ A_27a ) )
% 5.64/5.88 & ( p @ ( ap @ ( ap @ ( c_2Ewellorder_2Eorderiso @ A_27b @ A_27a ) @ V1wo ) @ V2wo_27 ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2Eallsets__wellorderable,axiom,
% 5.64/5.88 ! [A_27a: del,V0s: $i] :
% 5.64/5.88 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.64/5.88 => ? [V1wo: $i] :
% 5.64/5.88 ( ( mem @ V1wo @ ( ty_2Ewellorder_2Ewellorder @ A_27a ) )
% 5.64/5.88 & ( ( ap @ ( c_2Ewellorder_2EelsOf @ A_27a ) @ V1wo )
% 5.64/5.88 = V0s ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2EWF,axiom,
% 5.64/5.88 ! [A_27a: del,V0_3C_3C: $i] :
% 5.64/5.88 ( ( mem @ V0_3C_3C @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( c_2Erelation_2EWF @ A_27a ) @ V0_3C_3C ) )
% 5.64/5.88 <=> ! [V1P: $i] :
% 5.64/5.88 ( ( mem @ V1P @ ( arr @ A_27a @ bool ) )
% 5.64/5.88 => ( ? [V2x: $i] :
% 5.64/5.88 ( ( mem @ V2x @ A_27a )
% 5.64/5.88 & ( p @ ( ap @ V1P @ V2x ) ) )
% 5.64/5.88 => ? [V3x: $i] :
% 5.64/5.88 ( ( mem @ V3x @ A_27a )
% 5.64/5.88 & ( p @ ( ap @ V1P @ V3x ) )
% 5.64/5.88 & ! [V4y: $i] :
% 5.64/5.88 ( ( mem @ V4y @ A_27a )
% 5.64/5.88 => ( ( p @ ( ap @ ( ap @ V0_3C_3C @ V4y ) @ V3x ) )
% 5.64/5.88 => ~ ( p @ ( ap @ V1P @ V4y ) ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2EWF__EQ,axiom,
% 5.64/5.88 ! [A_27a: del,V0_3C_3C: $i] :
% 5.64/5.88 ( ( mem @ V0_3C_3C @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( c_2Erelation_2EWF @ A_27a ) @ V0_3C_3C ) )
% 5.64/5.88 <=> ! [V1P: $i] :
% 5.64/5.88 ( ( mem @ V1P @ ( arr @ A_27a @ bool ) )
% 5.64/5.88 => ( ? [V2x: $i] :
% 5.64/5.88 ( ( mem @ V2x @ A_27a )
% 5.64/5.88 & ( p @ ( ap @ V1P @ V2x ) ) )
% 5.64/5.88 <=> ? [V3x: $i] :
% 5.64/5.88 ( ( mem @ V3x @ A_27a )
% 5.64/5.88 & ( p @ ( ap @ V1P @ V3x ) )
% 5.64/5.88 & ! [V4y: $i] :
% 5.64/5.88 ( ( mem @ V4y @ A_27a )
% 5.64/5.88 => ( ( p @ ( ap @ ( ap @ V0_3C_3C @ V4y ) @ V3x ) )
% 5.64/5.88 => ~ ( p @ ( ap @ V1P @ V4y ) ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2EWF__IND,axiom,
% 5.64/5.88 ! [A_27a: del,V0_3C_3C: $i] :
% 5.64/5.88 ( ( mem @ V0_3C_3C @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( c_2Erelation_2EWF @ A_27a ) @ V0_3C_3C ) )
% 5.64/5.88 <=> ! [V1P: $i] :
% 5.64/5.88 ( ( mem @ V1P @ ( arr @ A_27a @ bool ) )
% 5.64/5.88 => ( ! [V2x: $i] :
% 5.64/5.88 ( ( mem @ V2x @ A_27a )
% 5.64/5.88 => ( ! [V3y: $i] :
% 5.64/5.88 ( ( mem @ V3y @ A_27a )
% 5.64/5.88 => ( ( p @ ( ap @ ( ap @ V0_3C_3C @ V3y ) @ V2x ) )
% 5.64/5.88 => ( p @ ( ap @ V1P @ V3y ) ) ) )
% 5.64/5.88 => ( p @ ( ap @ V1P @ V2x ) ) ) )
% 5.64/5.88 => ! [V4x: $i] :
% 5.64/5.88 ( ( mem @ V4x @ A_27a )
% 5.64/5.88 => ( p @ ( ap @ V1P @ V4x ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2EWF__DCHAIN,axiom,
% 5.64/5.88 ! [A_27a: del,V0_3C_3C: $i] :
% 5.64/5.88 ( ( mem @ V0_3C_3C @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( c_2Erelation_2EWF @ A_27a ) @ V0_3C_3C ) )
% 5.64/5.88 <=> ~ ? [V1s: $i] :
% 5.64/5.88 ( ( mem @ V1s @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.64/5.88 & ! [V2n: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ V0_3C_3C @ ( ap @ V1s @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) @ ( ap @ V1s @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2EWF__UREC,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,V0_3C_3C: $i] :
% 5.64/5.88 ( ( mem @ V0_3C_3C @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( c_2Erelation_2EWF @ A_27a ) @ V0_3C_3C ) )
% 5.64/5.88 => ! [V1H: $i] :
% 5.64/5.88 ( ( mem @ V1H @ ( arr @ ( arr @ A_27a @ A_27b ) @ ( arr @ A_27a @ A_27b ) ) )
% 5.64/5.88 => ( ! [V2f: $i] :
% 5.64/5.88 ( ( mem @ V2f @ ( arr @ A_27a @ A_27b ) )
% 5.64/5.88 => ! [V3g: $i] :
% 5.64/5.88 ( ( mem @ V3g @ ( arr @ A_27a @ A_27b ) )
% 5.64/5.88 => ! [V4x: $i] :
% 5.64/5.88 ( ( mem @ V4x @ A_27a )
% 5.64/5.88 => ( ! [V5z: $i] :
% 5.64/5.88 ( ( mem @ V5z @ A_27a )
% 5.64/5.88 => ( ( p @ ( ap @ ( ap @ V0_3C_3C @ V5z ) @ V4x ) )
% 5.64/5.88 => ( ( ap @ V2f @ V5z )
% 5.64/5.88 = ( ap @ V3g @ V5z ) ) ) )
% 5.64/5.88 => ( ( ap @ ( ap @ V1H @ V2f ) @ V4x )
% 5.64/5.88 = ( ap @ ( ap @ V1H @ V3g ) @ V4x ) ) ) ) ) )
% 5.64/5.88 => ! [V6f: $i] :
% 5.64/5.88 ( ( mem @ V6f @ ( arr @ A_27a @ A_27b ) )
% 5.64/5.88 => ! [V7g: $i] :
% 5.64/5.88 ( ( mem @ V7g @ ( arr @ A_27a @ A_27b ) )
% 5.64/5.88 => ( ( ! [V8x: $i] :
% 5.64/5.88 ( ( mem @ V8x @ A_27a )
% 5.64/5.88 => ( ( ap @ V6f @ V8x )
% 5.64/5.88 = ( ap @ ( ap @ V1H @ V6f ) @ V8x ) ) )
% 5.64/5.88 & ! [V9x: $i] :
% 5.64/5.88 ( ( mem @ V9x @ A_27a )
% 5.64/5.88 => ( ( ap @ V7g @ V9x )
% 5.64/5.88 = ( ap @ ( ap @ V1H @ V7g ) @ V9x ) ) ) )
% 5.64/5.88 => ( V6f = V7g ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2EWF__UREC__WF,axiom,
% 5.64/5.88 ! [A_27a: del,V0_3C_3C: $i] :
% 5.64/5.88 ( ( mem @ V0_3C_3C @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.64/5.88 => ( ! [V1H: $i] :
% 5.64/5.88 ( ( mem @ V1H @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ bool ) ) )
% 5.64/5.88 => ( ! [V2f: $i] :
% 5.64/5.88 ( ( mem @ V2f @ ( arr @ A_27a @ bool ) )
% 5.64/5.88 => ! [V3g: $i] :
% 5.64/5.88 ( ( mem @ V3g @ ( arr @ A_27a @ bool ) )
% 5.64/5.88 => ! [V4x: $i] :
% 5.64/5.88 ( ( mem @ V4x @ A_27a )
% 5.64/5.88 => ( ! [V5z: $i] :
% 5.64/5.88 ( ( mem @ V5z @ A_27a )
% 5.64/5.88 => ( ( p @ ( ap @ ( ap @ V0_3C_3C @ V5z ) @ V4x ) )
% 5.64/5.88 => ( ( p @ ( ap @ V2f @ V5z ) )
% 5.64/5.88 <=> ( p @ ( ap @ V3g @ V5z ) ) ) ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( ap @ V1H @ V2f ) @ V4x ) )
% 5.64/5.88 <=> ( p @ ( ap @ ( ap @ V1H @ V3g ) @ V4x ) ) ) ) ) ) )
% 5.64/5.88 => ! [V6f: $i] :
% 5.64/5.88 ( ( mem @ V6f @ ( arr @ A_27a @ bool ) )
% 5.64/5.88 => ! [V7g: $i] :
% 5.64/5.88 ( ( mem @ V7g @ ( arr @ A_27a @ bool ) )
% 5.64/5.88 => ( ( ! [V8x: $i] :
% 5.64/5.88 ( ( mem @ V8x @ A_27a )
% 5.64/5.88 => ( ( p @ ( ap @ V6f @ V8x ) )
% 5.64/5.88 <=> ( p @ ( ap @ ( ap @ V1H @ V6f ) @ V8x ) ) ) )
% 5.64/5.88 & ! [V9x: $i] :
% 5.64/5.88 ( ( mem @ V9x @ A_27a )
% 5.64/5.88 => ( ( p @ ( ap @ V7g @ V9x ) )
% 5.64/5.88 <=> ( p @ ( ap @ ( ap @ V1H @ V7g ) @ V9x ) ) ) ) )
% 5.64/5.88 => ( V6f = V7g ) ) ) ) ) )
% 5.64/5.88 => ( p @ ( ap @ ( c_2Erelation_2EWF @ A_27a ) @ V0_3C_3C ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2EWF__REC__INVARIANT,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,V0_3C_3C: $i] :
% 5.64/5.88 ( ( mem @ V0_3C_3C @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( c_2Erelation_2EWF @ A_27a ) @ V0_3C_3C ) )
% 5.64/5.88 => ! [V1H: $i] :
% 5.64/5.88 ( ( mem @ V1H @ ( arr @ ( arr @ A_27a @ A_27b ) @ ( arr @ A_27a @ A_27b ) ) )
% 5.64/5.88 => ! [V2S: $i] :
% 5.64/5.88 ( ( mem @ V2S @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.64/5.88 => ( ! [V3f: $i] :
% 5.64/5.88 ( ( mem @ V3f @ ( arr @ A_27a @ A_27b ) )
% 5.64/5.88 => ! [V4g: $i] :
% 5.64/5.88 ( ( mem @ V4g @ ( arr @ A_27a @ A_27b ) )
% 5.64/5.88 => ! [V5x: $i] :
% 5.64/5.88 ( ( mem @ V5x @ A_27a )
% 5.64/5.88 => ( ! [V6z: $i] :
% 5.64/5.88 ( ( mem @ V6z @ A_27a )
% 5.64/5.88 => ( ( p @ ( ap @ ( ap @ V0_3C_3C @ V6z ) @ V5x ) )
% 5.64/5.88 => ( ( ( ap @ V3f @ V6z )
% 5.64/5.88 = ( ap @ V4g @ V6z ) )
% 5.64/5.88 & ( p @ ( ap @ ( ap @ V2S @ V6z ) @ ( ap @ V3f @ V6z ) ) ) ) ) )
% 5.64/5.88 => ( ( ( ap @ ( ap @ V1H @ V3f ) @ V5x )
% 5.64/5.88 = ( ap @ ( ap @ V1H @ V4g ) @ V5x ) )
% 5.64/5.88 & ( p @ ( ap @ ( ap @ V2S @ V5x ) @ ( ap @ ( ap @ V1H @ V3f ) @ V5x ) ) ) ) ) ) ) )
% 5.64/5.88 => ? [V7f: $i] :
% 5.64/5.88 ( ( mem @ V7f @ ( arr @ A_27a @ A_27b ) )
% 5.64/5.88 & ! [V8x: $i] :
% 5.64/5.88 ( ( mem @ V8x @ A_27a )
% 5.64/5.88 => ( ( ap @ V7f @ V8x )
% 5.64/5.88 = ( ap @ ( ap @ V1H @ V7f ) @ V8x ) ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2EWF__REC,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,V0_3C_3C: $i] :
% 5.64/5.88 ( ( mem @ V0_3C_3C @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( c_2Erelation_2EWF @ A_27a ) @ V0_3C_3C ) )
% 5.64/5.88 => ! [V1H: $i] :
% 5.64/5.88 ( ( mem @ V1H @ ( arr @ ( arr @ A_27a @ A_27b ) @ ( arr @ A_27a @ A_27b ) ) )
% 5.64/5.88 => ( ! [V2f: $i] :
% 5.64/5.88 ( ( mem @ V2f @ ( arr @ A_27a @ A_27b ) )
% 5.64/5.88 => ! [V3g: $i] :
% 5.64/5.88 ( ( mem @ V3g @ ( arr @ A_27a @ A_27b ) )
% 5.64/5.88 => ! [V4x: $i] :
% 5.64/5.88 ( ( mem @ V4x @ A_27a )
% 5.64/5.88 => ( ! [V5z: $i] :
% 5.64/5.88 ( ( mem @ V5z @ A_27a )
% 5.64/5.88 => ( ( p @ ( ap @ ( ap @ V0_3C_3C @ V5z ) @ V4x ) )
% 5.64/5.88 => ( ( ap @ V2f @ V5z )
% 5.64/5.88 = ( ap @ V3g @ V5z ) ) ) )
% 5.64/5.88 => ( ( ap @ ( ap @ V1H @ V2f ) @ V4x )
% 5.64/5.88 = ( ap @ ( ap @ V1H @ V3g ) @ V4x ) ) ) ) ) )
% 5.64/5.88 => ? [V6f: $i] :
% 5.64/5.88 ( ( mem @ V6f @ ( arr @ A_27a @ A_27b ) )
% 5.64/5.88 & ! [V7x: $i] :
% 5.64/5.88 ( ( mem @ V7x @ A_27a )
% 5.64/5.88 => ( ( ap @ V6f @ V7x )
% 5.64/5.88 = ( ap @ ( ap @ V1H @ V6f ) @ V7x ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2EWF__num,axiom,
% 5.64/5.88 p @ ( ap @ ( c_2Erelation_2EWF @ ty_2Enum_2Enum ) @ c_2Eprim__rec_2E_3C ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2EWF__REC__num,axiom,
% 5.64/5.88 ! [A_27a: del,V0H: $i] :
% 5.64/5.88 ( ( mem @ V0H @ ( arr @ ( arr @ ty_2Enum_2Enum @ A_27a ) @ ( arr @ ty_2Enum_2Enum @ A_27a ) ) )
% 5.64/5.88 => ( ! [V1f: $i] :
% 5.64/5.88 ( ( mem @ V1f @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.64/5.88 => ! [V2g: $i] :
% 5.64/5.88 ( ( mem @ V2g @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.64/5.88 => ! [V3n: tp__ty_2Enum_2Enum] :
% 5.64/5.88 ( ! [V4m: tp__ty_2Enum_2Enum] :
% 5.64/5.88 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V4m ) ) @ ( inj__ty_2Enum_2Enum @ V3n ) ) )
% 5.64/5.88 => ( ( ap @ V1f @ ( inj__ty_2Enum_2Enum @ V4m ) )
% 5.64/5.88 = ( ap @ V2g @ ( inj__ty_2Enum_2Enum @ V4m ) ) ) )
% 5.64/5.88 => ( ( ap @ ( ap @ V0H @ V1f ) @ ( inj__ty_2Enum_2Enum @ V3n ) )
% 5.64/5.88 = ( ap @ ( ap @ V0H @ V2g ) @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) ) ) )
% 5.64/5.88 => ? [V5f: $i] :
% 5.64/5.88 ( ( mem @ V5f @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.64/5.88 & ! [V6n: tp__ty_2Enum_2Enum] :
% 5.64/5.88 ( ( ap @ V5f @ ( inj__ty_2Enum_2Enum @ V6n ) )
% 5.64/5.88 = ( ap @ ( ap @ V0H @ V5f ) @ ( inj__ty_2Enum_2Enum @ V6n ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(ax_thm_2Ewellorder_2Efl,axiom,
% 5.64/5.88 ! [A_27a: del,V0l: $i] :
% 5.64/5.88 ( ( mem @ V0l @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.64/5.88 => ! [V1x: $i] :
% 5.64/5.88 ( ( mem @ V1x @ A_27a )
% 5.64/5.88 => ( ( p @ ( ap @ ( ap @ ( c_2Ewellorder_2Efl @ A_27a ) @ V0l ) @ V1x ) )
% 5.64/5.88 <=> ? [V2y: $i] :
% 5.64/5.88 ( ( mem @ V2y @ A_27a )
% 5.64/5.88 & ( ( p @ ( ap @ V0l @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V1x ) @ V2y ) ) )
% 5.64/5.88 | ( p @ ( ap @ V0l @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V2y ) @ V1x ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(ax_thm_2Ewellorder_2Eposet,axiom,
% 5.64/5.88 ! [A_27a: del,V0l: $i] :
% 5.64/5.88 ( ( mem @ V0l @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( c_2Ewellorder_2Eposet @ A_27a ) @ V0l ) )
% 5.64/5.88 <=> ( ! [V1x: $i] :
% 5.64/5.88 ( ( mem @ V1x @ A_27a )
% 5.64/5.88 => ( ( p @ ( ap @ ( ap @ ( c_2Ewellorder_2Efl @ A_27a ) @ V0l ) @ V1x ) )
% 5.64/5.88 => ( p @ ( ap @ V0l @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V1x ) @ V1x ) ) ) ) )
% 5.64/5.88 & ! [V2x: $i] :
% 5.64/5.88 ( ( mem @ V2x @ A_27a )
% 5.64/5.88 => ! [V3y: $i] :
% 5.64/5.88 ( ( mem @ V3y @ A_27a )
% 5.64/5.88 => ! [V4z: $i] :
% 5.64/5.88 ( ( mem @ V4z @ A_27a )
% 5.64/5.88 => ( ( ( p @ ( ap @ V0l @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V2x ) @ V3y ) ) )
% 5.64/5.88 & ( p @ ( ap @ V0l @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V3y ) @ V4z ) ) ) )
% 5.64/5.88 => ( p @ ( ap @ V0l @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V2x ) @ V4z ) ) ) ) ) ) )
% 5.64/5.88 & ! [V5x: $i] :
% 5.64/5.88 ( ( mem @ V5x @ A_27a )
% 5.64/5.88 => ! [V6y: $i] :
% 5.64/5.88 ( ( mem @ V6y @ A_27a )
% 5.64/5.88 => ( ( ( p @ ( ap @ V0l @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V5x ) @ V6y ) ) )
% 5.64/5.88 & ( p @ ( ap @ V0l @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V6y ) @ V5x ) ) ) )
% 5.64/5.88 => ( V5x = V6y ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(ax_thm_2Ewellorder_2Echain,axiom,
% 5.64/5.88 ! [A_27a: del,V0l: $i] :
% 5.64/5.88 ( ( mem @ V0l @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.64/5.88 => ! [V1P: $i] :
% 5.64/5.88 ( ( mem @ V1P @ ( arr @ A_27a @ bool ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( ap @ ( c_2Ewellorder_2EChain @ A_27a ) @ V0l ) @ V1P ) )
% 5.64/5.88 <=> ! [V2x: $i] :
% 5.64/5.88 ( ( mem @ V2x @ A_27a )
% 5.64/5.88 => ! [V3y: $i] :
% 5.64/5.88 ( ( mem @ V3y @ A_27a )
% 5.64/5.88 => ( ( ( p @ ( ap @ V1P @ V2x ) )
% 5.64/5.88 & ( p @ ( ap @ V1P @ V3y ) ) )
% 5.64/5.88 => ( ( p @ ( ap @ V0l @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V2x ) @ V3y ) ) )
% 5.64/5.88 | ( p @ ( ap @ V0l @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V3y ) @ V2x ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2EZL,axiom,
% 5.64/5.88 ! [A_27a: del,V0l: $i] :
% 5.64/5.88 ( ( mem @ V0l @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.64/5.88 => ( ( ( p @ ( ap @ ( c_2Ewellorder_2Eposet @ A_27a ) @ V0l ) )
% 5.64/5.88 & ? [V1x: $i] :
% 5.64/5.88 ( ( mem @ V1x @ A_27a )
% 5.64/5.88 & ( p
% 5.64/5.88 @ ( ap
% 5.64/5.88 @ ( lam @ A_27a
% 5.64/5.88 @ ^ [V2x: $i] : ( ap @ ( ap @ ( c_2Ewellorder_2Efl @ A_27a ) @ V0l ) @ V2x ) )
% 5.64/5.88 @ V1x ) ) )
% 5.64/5.88 & ! [V3P: $i] :
% 5.64/5.88 ( ( mem @ V3P @ ( arr @ A_27a @ bool ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( ap @ ( c_2Ewellorder_2EChain @ A_27a ) @ V0l ) @ V3P ) )
% 5.64/5.88 => ? [V4y: $i] :
% 5.64/5.88 ( ( mem @ V4y @ A_27a )
% 5.64/5.88 & ( p @ ( ap @ ( ap @ ( c_2Ewellorder_2Efl @ A_27a ) @ V0l ) @ V4y ) )
% 5.64/5.88 & ! [V5x: $i] :
% 5.64/5.88 ( ( mem @ V5x @ A_27a )
% 5.64/5.88 => ( ( p @ ( ap @ V3P @ V5x ) )
% 5.64/5.88 => ( p @ ( ap @ V0l @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V5x ) @ V4y ) ) ) ) ) ) ) ) )
% 5.64/5.88 => ? [V6y: $i] :
% 5.64/5.88 ( ( mem @ V6y @ A_27a )
% 5.64/5.88 & ( p @ ( ap @ ( ap @ ( c_2Ewellorder_2Efl @ A_27a ) @ V0l ) @ V6y ) )
% 5.64/5.88 & ! [V7x: $i] :
% 5.64/5.88 ( ( mem @ V7x @ A_27a )
% 5.64/5.88 => ( ( p @ ( ap @ V0l @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V6y ) @ V7x ) ) )
% 5.64/5.88 => ( V6y = V7x ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2EPOSET__RESTRICTED__SUBSET,axiom,
% 5.64/5.88 ! [A_27a: del,V0P: $i] :
% 5.64/5.88 ( ( mem @ V0P @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) )
% 5.64/5.88 => ( p
% 5.64/5.88 @ ( ap @ ( c_2Ewellorder_2Eposet @ ( arr @ A_27a @ bool ) )
% 5.64/5.88 @ ( ap @ ( c_2Epair_2EUNCURRY @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ bool ) @ bool )
% 5.64/5.88 @ ( lam @ ( arr @ A_27a @ bool )
% 5.64/5.88 @ ^ [V1x: $i] :
% 5.64/5.88 ( lam @ ( arr @ A_27a @ bool )
% 5.64/5.88 @ ^ [V2y: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0P @ V1x ) ) @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0P @ V2y ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V1x ) @ V2y ) ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2EFL__RESTRICTED__SUBSET,axiom,
% 5.64/5.88 ! [A_27a: del,V0P: $i] :
% 5.64/5.88 ( ( mem @ V0P @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) )
% 5.64/5.88 => ( ( ap @ ( c_2Ewellorder_2Efl @ ( arr @ A_27a @ bool ) )
% 5.64/5.88 @ ( ap @ ( c_2Epair_2EUNCURRY @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ bool ) @ bool )
% 5.64/5.88 @ ( lam @ ( arr @ A_27a @ bool )
% 5.64/5.88 @ ^ [V1x: $i] :
% 5.64/5.88 ( lam @ ( arr @ A_27a @ bool )
% 5.64/5.88 @ ^ [V2y: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0P @ V1x ) ) @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0P @ V2y ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V1x ) @ V2y ) ) ) ) ) ) )
% 5.64/5.88 = V0P ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2EZL__SUBSETS,axiom,
% 5.64/5.88 ! [A_27a: del,V0P: $i] :
% 5.64/5.88 ( ( mem @ V0P @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) )
% 5.64/5.88 => ( ! [V1c: $i] :
% 5.64/5.88 ( ( mem @ V1c @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) )
% 5.64/5.88 => ( ( ! [V2x: $i] :
% 5.64/5.88 ( ( mem @ V2x @ ( arr @ A_27a @ bool ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( arr @ A_27a @ bool ) ) @ V2x ) @ V1c ) )
% 5.64/5.88 => ( p @ ( ap @ V0P @ V2x ) ) ) )
% 5.64/5.88 & ! [V3x: $i] :
% 5.64/5.88 ( ( mem @ V3x @ ( arr @ A_27a @ bool ) )
% 5.64/5.88 => ! [V4y: $i] :
% 5.64/5.88 ( ( mem @ V4y @ ( arr @ A_27a @ bool ) )
% 5.64/5.88 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( arr @ A_27a @ bool ) ) @ V3x ) @ V1c ) )
% 5.64/5.88 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( arr @ A_27a @ bool ) ) @ V4y ) @ V1c ) ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V3x ) @ V4y ) )
% 5.64/5.88 | ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V4y ) @ V3x ) ) ) ) ) ) )
% 5.64/5.88 => ? [V5z: $i] :
% 5.64/5.88 ( ( mem @ V5z @ ( arr @ A_27a @ bool ) )
% 5.64/5.88 & ( p @ ( ap @ V0P @ V5z ) )
% 5.64/5.88 & ! [V6x: $i] :
% 5.64/5.88 ( ( mem @ V6x @ ( arr @ A_27a @ bool ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( arr @ A_27a @ bool ) ) @ V6x ) @ V1c ) )
% 5.64/5.88 => ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V6x ) @ V5z ) ) ) ) ) ) )
% 5.64/5.88 => ? [V7a: $i] :
% 5.64/5.88 ( ( mem @ V7a @ ( arr @ A_27a @ bool ) )
% 5.64/5.88 & ( p @ ( ap @ V0P @ V7a ) )
% 5.64/5.88 & ! [V8x: $i] :
% 5.64/5.88 ( ( mem @ V8x @ ( arr @ A_27a @ bool ) )
% 5.64/5.88 => ( ( ( p @ ( ap @ V0P @ V8x ) )
% 5.64/5.88 & ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V7a ) @ V8x ) ) )
% 5.64/5.88 => ( V7a = V8x ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2EZL__SUBSETS__BIGUNION,axiom,
% 5.64/5.88 ! [A_27a: del,V0P: $i] :
% 5.64/5.88 ( ( mem @ V0P @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) )
% 5.64/5.88 => ( ! [V1c: $i] :
% 5.64/5.88 ( ( mem @ V1c @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) )
% 5.64/5.88 => ( ( ! [V2x: $i] :
% 5.64/5.88 ( ( mem @ V2x @ ( arr @ A_27a @ bool ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( arr @ A_27a @ bool ) ) @ V2x ) @ V1c ) )
% 5.64/5.88 => ( p @ ( ap @ V0P @ V2x ) ) ) )
% 5.64/5.88 & ! [V3x: $i] :
% 5.64/5.88 ( ( mem @ V3x @ ( arr @ A_27a @ bool ) )
% 5.64/5.88 => ! [V4y: $i] :
% 5.64/5.88 ( ( mem @ V4y @ ( arr @ A_27a @ bool ) )
% 5.64/5.88 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( arr @ A_27a @ bool ) ) @ V3x ) @ V1c ) )
% 5.64/5.88 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( arr @ A_27a @ bool ) ) @ V4y ) @ V1c ) ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V3x ) @ V4y ) )
% 5.64/5.88 | ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V4y ) @ V3x ) ) ) ) ) ) )
% 5.64/5.88 => ( p @ ( ap @ V0P @ ( ap @ ( c_2Epred__set_2EBIGUNION @ A_27a ) @ V1c ) ) ) ) )
% 5.64/5.88 => ? [V5a: $i] :
% 5.64/5.88 ( ( mem @ V5a @ ( arr @ A_27a @ bool ) )
% 5.64/5.88 & ( p @ ( ap @ V0P @ V5a ) )
% 5.64/5.88 & ! [V6x: $i] :
% 5.64/5.88 ( ( mem @ V6x @ ( arr @ A_27a @ bool ) )
% 5.64/5.88 => ( ( ( p @ ( ap @ V0P @ V6x ) )
% 5.64/5.88 & ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V5a ) @ V6x ) ) )
% 5.64/5.88 => ( V5a = V6x ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2EZL__SUBSETS__BIGUNION__NONEMPTY,axiom,
% 5.64/5.88 ! [A_27a: del,V0P: $i] :
% 5.64/5.88 ( ( mem @ V0P @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) )
% 5.64/5.88 => ( ( ? [V1x: $i] :
% 5.64/5.88 ( ( mem @ V1x @ ( arr @ A_27a @ bool ) )
% 5.64/5.88 & ( p @ ( ap @ V0P @ V1x ) ) )
% 5.64/5.88 & ! [V2c: $i] :
% 5.64/5.88 ( ( mem @ V2c @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) )
% 5.64/5.88 => ( ( ? [V3x: $i] :
% 5.64/5.88 ( ( mem @ V3x @ ( arr @ A_27a @ bool ) )
% 5.64/5.88 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( arr @ A_27a @ bool ) ) @ V3x ) @ V2c ) ) )
% 5.64/5.88 & ! [V4x: $i] :
% 5.64/5.88 ( ( mem @ V4x @ ( arr @ A_27a @ bool ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( arr @ A_27a @ bool ) ) @ V4x ) @ V2c ) )
% 5.64/5.88 => ( p @ ( ap @ V0P @ V4x ) ) ) )
% 5.64/5.88 & ! [V5x: $i] :
% 5.64/5.88 ( ( mem @ V5x @ ( arr @ A_27a @ bool ) )
% 5.64/5.88 => ! [V6y: $i] :
% 5.64/5.88 ( ( mem @ V6y @ ( arr @ A_27a @ bool ) )
% 5.64/5.88 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( arr @ A_27a @ bool ) ) @ V5x ) @ V2c ) )
% 5.64/5.88 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( arr @ A_27a @ bool ) ) @ V6y ) @ V2c ) ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V5x ) @ V6y ) )
% 5.64/5.88 | ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V6y ) @ V5x ) ) ) ) ) ) )
% 5.64/5.88 => ( p @ ( ap @ V0P @ ( ap @ ( c_2Epred__set_2EBIGUNION @ A_27a ) @ V2c ) ) ) ) ) )
% 5.64/5.88 => ? [V7a: $i] :
% 5.64/5.88 ( ( mem @ V7a @ ( arr @ A_27a @ bool ) )
% 5.64/5.88 & ( p @ ( ap @ V0P @ V7a ) )
% 5.64/5.88 & ! [V8x: $i] :
% 5.64/5.88 ( ( mem @ V8x @ ( arr @ A_27a @ bool ) )
% 5.64/5.88 => ( ( ( p @ ( ap @ V0P @ V8x ) )
% 5.64/5.88 & ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V7a ) @ V8x ) ) )
% 5.64/5.88 => ( V7a = V8x ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2EFLATTEN__LEMMA,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,V0g: $i] :
% 5.64/5.88 ( ( mem @ V0g @ ( arr @ A_27b @ A_27a ) )
% 5.64/5.88 => ! [V1f: $i] :
% 5.64/5.88 ( ( mem @ V1f @ ( arr @ A_27a @ A_27b ) )
% 5.64/5.88 => ! [V2s: $i] :
% 5.64/5.88 ( ( mem @ V2s @ ( arr @ A_27a @ bool ) )
% 5.64/5.88 => ( ! [V3x: $i] :
% 5.64/5.88 ( ( mem @ V3x @ A_27a )
% 5.64/5.88 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3x ) @ V2s ) )
% 5.64/5.88 => ( ( ap @ V0g @ ( ap @ V1f @ V3x ) )
% 5.64/5.88 = V3x ) ) )
% 5.64/5.88 <=> ! [V4y: $i] :
% 5.64/5.88 ( ( mem @ V4y @ A_27b )
% 5.64/5.88 => ! [V5x: $i] :
% 5.64/5.88 ( ( mem @ V5x @ A_27a )
% 5.64/5.88 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V5x ) @ V2s ) )
% 5.64/5.88 & ( V4y
% 5.64/5.88 = ( ap @ V1f @ V5x ) ) )
% 5.64/5.88 => ( ( ap @ V0g @ V4y )
% 5.64/5.88 = V5x ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2ETARSKI__SET,axiom,
% 5.64/5.88 ! [A_27a: del,V0f: $i] :
% 5.64/5.88 ( ( mem @ V0f @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ bool ) ) )
% 5.64/5.88 => ( ! [V1s: $i] :
% 5.64/5.88 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.64/5.88 => ! [V2t: $i] :
% 5.64/5.88 ( ( mem @ V2t @ ( arr @ A_27a @ bool ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V1s ) @ V2t ) )
% 5.64/5.88 => ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ ( ap @ V0f @ V1s ) ) @ ( ap @ V0f @ V2t ) ) ) ) ) )
% 5.64/5.88 => ? [V3s: $i] :
% 5.64/5.88 ( ( mem @ V3s @ ( arr @ A_27a @ bool ) )
% 5.64/5.88 & ( ( ap @ V0f @ V3s )
% 5.64/5.88 = V3s ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Ewellorder_2EINJECTIVE__LEFT__INVERSE__NONEMPTY,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.64/5.88 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.64/5.88 => ! [V1s: $i] :
% 5.64/5.88 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.64/5.88 => ! [V2t: $i] :
% 5.64/5.88 ( ( mem @ V2t @ ( arr @ A_27b @ bool ) )
% 5.64/5.88 => ( ? [V3x: $i] :
% 5.64/5.88 ( ( mem @ V3x @ A_27a )
% 5.64/5.88 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3x ) @ V1s ) ) )
% 5.64/5.88 => ( ! [V4x: $i] :
% 5.64/5.88 ( ( mem @ V4x @ A_27a )
% 5.64/5.88 => ! [V5y: $i] :
% 5.64/5.88 ( ( mem @ V5y @ A_27a )
% 5.64/5.88 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V4x ) @ V1s ) )
% 5.64/5.88 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V5y ) @ V1s ) )
% 5.64/5.88 & ( ( ap @ V0f @ V4x )
% 5.64/5.88 = ( ap @ V0f @ V5y ) ) )
% 5.64/5.88 => ( V4x = V5y ) ) ) )
% 5.64/5.88 <=> ? [V6g: $i] :
% 5.64/5.88 ( ( mem @ V6g @ ( arr @ A_27b @ A_27a ) )
% 5.64/5.88 & ! [V7y: $i] :
% 5.64/5.88 ( ( mem @ V7y @ A_27b )
% 5.64/5.88 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ V7y ) @ V2t ) )
% 5.64/5.88 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ ( ap @ V6g @ V7y ) ) @ V1s ) ) ) )
% 5.64/5.88 & ! [V8x: $i] :
% 5.64/5.88 ( ( mem @ V8x @ A_27a )
% 5.64/5.88 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V8x ) @ V1s ) )
% 5.64/5.88 => ( ( ap @ V6g @ ( ap @ V0f @ V8x ) )
% 5.64/5.88 = V8x ) ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 %------------------------------------------------------------------------------
% 5.64/5.88 %------------------------------------------------------------------------------
% 5.64/5.88 thf(tp_ty_2Einftree_2Einftree,type,
% 5.64/5.88 ty_2Einftree_2Einftree: del > del > del > del ).
% 5.64/5.88
% 5.64/5.88 thf(tp_c_2Einftree_2Efrom__inftree,type,
% 5.64/5.88 c_2Einftree_2Efrom__inftree: del > del > del > $i ).
% 5.64/5.88
% 5.64/5.88 thf(mem_c_2Einftree_2Efrom__inftree,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,A_27d: del] : ( mem @ ( c_2Einftree_2Efrom__inftree @ A_27a @ A_27b @ A_27d ) @ ( arr @ ( ty_2Einftree_2Einftree @ A_27a @ A_27b @ A_27d ) @ ( arr @ ( ty_2Elist_2Elist @ A_27d ) @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(tp_c_2Einftree_2EiLf,type,
% 5.64/5.88 c_2Einftree_2EiLf: del > del > del > $i ).
% 5.64/5.88
% 5.64/5.88 thf(mem_c_2Einftree_2EiLf,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,A_27c: del] : ( mem @ ( c_2Einftree_2EiLf @ A_27a @ A_27b @ A_27c ) @ ( arr @ A_27a @ ( ty_2Einftree_2Einftree @ A_27a @ A_27b @ A_27c ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(tp_c_2Einftree_2EiNd,type,
% 5.64/5.88 c_2Einftree_2EiNd: del > del > del > $i ).
% 5.64/5.88
% 5.64/5.88 thf(mem_c_2Einftree_2EiNd,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,A_27c: del] : ( mem @ ( c_2Einftree_2EiNd @ A_27a @ A_27b @ A_27c ) @ ( arr @ A_27b @ ( arr @ ( arr @ A_27c @ ( ty_2Einftree_2Einftree @ A_27a @ A_27b @ A_27c ) ) @ ( ty_2Einftree_2Einftree @ A_27a @ A_27b @ A_27c ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(tp_c_2Einftree_2Einftree__CASE,type,
% 5.64/5.88 c_2Einftree_2Einftree__CASE: del > del > del > del > $i ).
% 5.64/5.88
% 5.64/5.88 thf(mem_c_2Einftree_2Einftree__CASE,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del] : ( mem @ ( c_2Einftree_2Einftree__CASE @ A_27a @ A_27b @ A_27c @ A_27d ) @ ( arr @ ( ty_2Einftree_2Einftree @ A_27a @ A_27b @ A_27c ) @ ( arr @ ( arr @ A_27a @ A_27d ) @ ( arr @ ( arr @ A_27b @ ( arr @ ( arr @ A_27c @ ( ty_2Einftree_2Einftree @ A_27a @ A_27b @ A_27c ) ) @ A_27d ) ) @ A_27d ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(tp_c_2Einftree_2Einftree__rec,type,
% 5.64/5.88 c_2Einftree_2Einftree__rec: del > del > del > del > $i ).
% 5.64/5.88
% 5.64/5.88 thf(mem_c_2Einftree_2Einftree__rec,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del] : ( mem @ ( c_2Einftree_2Einftree__rec @ A_27a @ A_27b @ A_27c @ A_27d ) @ ( arr @ ( arr @ A_27b @ A_27a ) @ ( arr @ ( arr @ A_27c @ ( arr @ ( arr @ A_27d @ A_27a ) @ A_27a ) ) @ ( arr @ ( ty_2Einftree_2Einftree @ A_27b @ A_27c @ A_27d ) @ A_27a ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(tp_c_2Einftree_2Eis__tree,type,
% 5.64/5.88 c_2Einftree_2Eis__tree: del > del > del > $i ).
% 5.64/5.88
% 5.64/5.88 thf(mem_c_2Einftree_2Eis__tree,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,A_27d: del] : ( mem @ ( c_2Einftree_2Eis__tree @ A_27a @ A_27b @ A_27d ) @ ( arr @ ( arr @ ( ty_2Elist_2Elist @ A_27d ) @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) ) @ bool ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(tp_c_2Einftree_2Erelrec,type,
% 5.64/5.88 c_2Einftree_2Erelrec: del > del > del > del > $i ).
% 5.64/5.88
% 5.64/5.88 thf(mem_c_2Einftree_2Erelrec,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del] : ( mem @ ( c_2Einftree_2Erelrec @ A_27a @ A_27b @ A_27c @ A_27d ) @ ( arr @ ( arr @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27c @ ( arr @ ( arr @ A_27d @ A_27b ) @ A_27b ) ) @ ( arr @ ( ty_2Einftree_2Einftree @ A_27a @ A_27c @ A_27d ) @ ( arr @ A_27b @ bool ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(tp_c_2Einftree_2Eto__inftree,type,
% 5.64/5.88 c_2Einftree_2Eto__inftree: del > del > del > $i ).
% 5.64/5.88
% 5.64/5.88 thf(mem_c_2Einftree_2Eto__inftree,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,A_27d: del] : ( mem @ ( c_2Einftree_2Eto__inftree @ A_27a @ A_27b @ A_27d ) @ ( arr @ ( arr @ ( ty_2Elist_2Elist @ A_27d ) @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) ) @ ( ty_2Einftree_2Einftree @ A_27a @ A_27b @ A_27d ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(ax_thm_2Einftree_2Eis__tree__def,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,A_27d: del] :
% 5.64/5.88 ( ( c_2Einftree_2Eis__tree @ A_27a @ A_27b @ A_27d )
% 5.64/5.88 = ( lam @ ( arr @ ( ty_2Elist_2Elist @ A_27d ) @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) )
% 5.64/5.88 @ ^ [V0a0: $i] :
% 5.64/5.88 ( ap @ ( c_2Ebool_2E_21 @ ( arr @ ( arr @ ( ty_2Elist_2Elist @ A_27d ) @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) ) @ bool ) )
% 5.64/5.88 @ ( lam @ ( arr @ ( arr @ ( ty_2Elist_2Elist @ A_27d ) @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) ) @ bool )
% 5.64/5.88 @ ^ [V1is__tree_27: $i] :
% 5.64/5.88 ( ap
% 5.64/5.88 @ ( ap @ c_2Emin_2E_3D_3D_3E
% 5.64/5.88 @ ( ap @ ( c_2Ebool_2E_21 @ ( arr @ ( ty_2Elist_2Elist @ A_27d ) @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) ) )
% 5.64/5.88 @ ( lam @ ( arr @ ( ty_2Elist_2Elist @ A_27d ) @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) )
% 5.64/5.88 @ ^ [V2a0: $i] :
% 5.64/5.88 ( ap
% 5.64/5.88 @ ( ap @ c_2Emin_2E_3D_3D_3E
% 5.64/5.88 @ ( ap
% 5.64/5.88 @ ( ap @ c_2Ebool_2E_5C_2F
% 5.64/5.88 @ ( ap @ ( c_2Ebool_2E_3F @ A_27a )
% 5.64/5.88 @ ( lam @ A_27a
% 5.64/5.88 @ ^ [V3a: $i] :
% 5.64/5.88 ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( arr @ ( ty_2Elist_2Elist @ A_27d ) @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) ) ) @ V2a0 )
% 5.64/5.88 @ ( lam @ ( ty_2Elist_2Elist @ A_27d )
% 5.64/5.88 @ ^ [V4p: $i] : ( ap @ ( c_2Esum_2EINL @ A_27a @ A_27b ) @ V3a ) ) ) ) ) )
% 5.64/5.88 @ ( ap @ ( c_2Ebool_2E_3F @ ( arr @ A_27d @ ( arr @ ( ty_2Elist_2Elist @ A_27d ) @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) ) ) )
% 5.64/5.88 @ ( lam @ ( arr @ A_27d @ ( arr @ ( ty_2Elist_2Elist @ A_27d ) @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) ) )
% 5.64/5.88 @ ^ [V5f: $i] :
% 5.64/5.88 ( ap @ ( c_2Ebool_2E_3F @ A_27b )
% 5.64/5.88 @ ( lam @ A_27b
% 5.64/5.88 @ ^ [V6b: $i] :
% 5.64/5.88 ( ap
% 5.64/5.88 @ ( ap @ c_2Ebool_2E_2F_5C
% 5.64/5.88 @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( arr @ ( ty_2Elist_2Elist @ A_27d ) @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) ) ) @ V2a0 )
% 5.64/5.88 @ ( lam @ ( ty_2Elist_2Elist @ A_27d )
% 5.64/5.88 @ ^ [V7p: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Elist_2Elist @ A_27d ) ) @ V7p ) @ ( c_2Elist_2ENIL @ A_27d ) ) ) @ ( ap @ ( c_2Esum_2EINR @ A_27a @ A_27b ) @ V6b ) ) @ ( ap @ ( ap @ V5f @ ( ap @ ( c_2Elist_2EHD @ A_27d ) @ V7p ) ) @ ( ap @ ( c_2Elist_2ETL @ A_27d ) @ V7p ) ) ) ) ) )
% 5.64/5.88 @ ( ap @ ( c_2Ebool_2E_21 @ A_27d )
% 5.64/5.88 @ ( lam @ A_27d
% 5.64/5.88 @ ^ [V8d: $i] : ( ap @ V1is__tree_27 @ ( ap @ V5f @ V8d ) ) ) ) ) ) ) ) ) ) )
% 5.64/5.88 @ ( ap @ V1is__tree_27 @ V2a0 ) ) ) ) )
% 5.64/5.88 @ ( ap @ V1is__tree_27 @ V0a0 ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Einftree_2Eis__tree__rules,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,A_27d: del] :
% 5.64/5.88 ( ! [V0a: $i] :
% 5.64/5.88 ( ( mem @ V0a @ A_27a )
% 5.64/5.88 => ( p
% 5.64/5.88 @ ( ap @ ( c_2Einftree_2Eis__tree @ A_27a @ A_27b @ A_27d )
% 5.64/5.88 @ ( lam @ ( ty_2Elist_2Elist @ A_27d )
% 5.64/5.88 @ ^ [V1p: $i] : ( ap @ ( c_2Esum_2EINL @ A_27a @ A_27b ) @ V0a ) ) ) ) )
% 5.64/5.88 & ! [V2f: $i] :
% 5.64/5.88 ( ( mem @ V2f @ ( arr @ A_27d @ ( arr @ ( ty_2Elist_2Elist @ A_27d ) @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) ) ) )
% 5.64/5.88 => ! [V3b: $i] :
% 5.64/5.88 ( ( mem @ V3b @ A_27b )
% 5.64/5.88 => ( ! [V4d: $i] :
% 5.64/5.88 ( ( mem @ V4d @ A_27d )
% 5.64/5.88 => ( p @ ( ap @ ( c_2Einftree_2Eis__tree @ A_27a @ A_27b @ A_27d ) @ ( ap @ V2f @ V4d ) ) ) )
% 5.64/5.88 => ( p
% 5.64/5.88 @ ( ap @ ( c_2Einftree_2Eis__tree @ A_27a @ A_27b @ A_27d )
% 5.64/5.88 @ ( lam @ ( ty_2Elist_2Elist @ A_27d )
% 5.64/5.88 @ ^ [V5p: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Elist_2Elist @ A_27d ) ) @ V5p ) @ ( c_2Elist_2ENIL @ A_27d ) ) ) @ ( ap @ ( c_2Esum_2EINR @ A_27a @ A_27b ) @ V3b ) ) @ ( ap @ ( ap @ V2f @ ( ap @ ( c_2Elist_2EHD @ A_27d ) @ V5p ) ) @ ( ap @ ( c_2Elist_2ETL @ A_27d ) @ V5p ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Einftree_2Eis__tree__ind,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,A_27d: del,V0is__tree_27: $i] :
% 5.64/5.88 ( ( mem @ V0is__tree_27 @ ( arr @ ( arr @ ( ty_2Elist_2Elist @ A_27d ) @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) ) @ bool ) )
% 5.64/5.88 => ( ( ! [V1a: $i] :
% 5.64/5.88 ( ( mem @ V1a @ A_27a )
% 5.64/5.88 => ( p
% 5.64/5.88 @ ( ap @ V0is__tree_27
% 5.64/5.88 @ ( lam @ ( ty_2Elist_2Elist @ A_27d )
% 5.64/5.88 @ ^ [V2p: $i] : ( ap @ ( c_2Esum_2EINL @ A_27a @ A_27b ) @ V1a ) ) ) ) )
% 5.64/5.88 & ! [V3f: $i] :
% 5.64/5.88 ( ( mem @ V3f @ ( arr @ A_27d @ ( arr @ ( ty_2Elist_2Elist @ A_27d ) @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) ) ) )
% 5.64/5.88 => ! [V4b: $i] :
% 5.64/5.88 ( ( mem @ V4b @ A_27b )
% 5.64/5.88 => ( ! [V5d: $i] :
% 5.64/5.88 ( ( mem @ V5d @ A_27d )
% 5.64/5.88 => ( p @ ( ap @ V0is__tree_27 @ ( ap @ V3f @ V5d ) ) ) )
% 5.64/5.88 => ( p
% 5.64/5.88 @ ( ap @ V0is__tree_27
% 5.64/5.88 @ ( lam @ ( ty_2Elist_2Elist @ A_27d )
% 5.64/5.88 @ ^ [V6p: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Elist_2Elist @ A_27d ) ) @ V6p ) @ ( c_2Elist_2ENIL @ A_27d ) ) ) @ ( ap @ ( c_2Esum_2EINR @ A_27a @ A_27b ) @ V4b ) ) @ ( ap @ ( ap @ V3f @ ( ap @ ( c_2Elist_2EHD @ A_27d ) @ V6p ) ) @ ( ap @ ( c_2Elist_2ETL @ A_27d ) @ V6p ) ) ) ) ) ) ) ) ) )
% 5.64/5.88 => ! [V7a0: $i] :
% 5.64/5.88 ( ( mem @ V7a0 @ ( arr @ ( ty_2Elist_2Elist @ A_27d ) @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( c_2Einftree_2Eis__tree @ A_27a @ A_27b @ A_27d ) @ V7a0 ) )
% 5.64/5.88 => ( p @ ( ap @ V0is__tree_27 @ V7a0 ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Einftree_2Eis__tree__strongind,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,A_27d: del,V0is__tree_27: $i] :
% 5.64/5.88 ( ( mem @ V0is__tree_27 @ ( arr @ ( arr @ ( ty_2Elist_2Elist @ A_27d ) @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) ) @ bool ) )
% 5.64/5.88 => ( ( ! [V1a: $i] :
% 5.64/5.88 ( ( mem @ V1a @ A_27a )
% 5.64/5.88 => ( p
% 5.64/5.88 @ ( ap @ V0is__tree_27
% 5.64/5.88 @ ( lam @ ( ty_2Elist_2Elist @ A_27d )
% 5.64/5.88 @ ^ [V2p: $i] : ( ap @ ( c_2Esum_2EINL @ A_27a @ A_27b ) @ V1a ) ) ) ) )
% 5.64/5.88 & ! [V3f: $i] :
% 5.64/5.88 ( ( mem @ V3f @ ( arr @ A_27d @ ( arr @ ( ty_2Elist_2Elist @ A_27d ) @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) ) ) )
% 5.64/5.88 => ! [V4b: $i] :
% 5.64/5.88 ( ( mem @ V4b @ A_27b )
% 5.64/5.88 => ( ! [V5d: $i] :
% 5.64/5.88 ( ( mem @ V5d @ A_27d )
% 5.64/5.88 => ( ( p @ ( ap @ ( c_2Einftree_2Eis__tree @ A_27a @ A_27b @ A_27d ) @ ( ap @ V3f @ V5d ) ) )
% 5.64/5.88 & ( p @ ( ap @ V0is__tree_27 @ ( ap @ V3f @ V5d ) ) ) ) )
% 5.64/5.88 => ( p
% 5.64/5.88 @ ( ap @ V0is__tree_27
% 5.64/5.88 @ ( lam @ ( ty_2Elist_2Elist @ A_27d )
% 5.64/5.88 @ ^ [V6p: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Elist_2Elist @ A_27d ) ) @ V6p ) @ ( c_2Elist_2ENIL @ A_27d ) ) ) @ ( ap @ ( c_2Esum_2EINR @ A_27a @ A_27b ) @ V4b ) ) @ ( ap @ ( ap @ V3f @ ( ap @ ( c_2Elist_2EHD @ A_27d ) @ V6p ) ) @ ( ap @ ( c_2Elist_2ETL @ A_27d ) @ V6p ) ) ) ) ) ) ) ) ) )
% 5.64/5.88 => ! [V7a0: $i] :
% 5.64/5.88 ( ( mem @ V7a0 @ ( arr @ ( ty_2Elist_2Elist @ A_27d ) @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( c_2Einftree_2Eis__tree @ A_27a @ A_27b @ A_27d ) @ V7a0 ) )
% 5.64/5.88 => ( p @ ( ap @ V0is__tree_27 @ V7a0 ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Einftree_2Eis__tree__cases,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,A_27d: del,V0a0: $i] :
% 5.64/5.88 ( ( mem @ V0a0 @ ( arr @ ( ty_2Elist_2Elist @ A_27d ) @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( c_2Einftree_2Eis__tree @ A_27a @ A_27b @ A_27d ) @ V0a0 ) )
% 5.64/5.88 <=> ( ? [V1a: $i] :
% 5.64/5.88 ( ( mem @ V1a @ A_27a )
% 5.64/5.88 & ( V0a0
% 5.64/5.88 = ( lam @ ( ty_2Elist_2Elist @ A_27d )
% 5.64/5.88 @ ^ [V2p: $i] : ( ap @ ( c_2Esum_2EINL @ A_27a @ A_27b ) @ V1a ) ) ) )
% 5.64/5.88 | ? [V3f: $i] :
% 5.64/5.88 ( ( mem @ V3f @ ( arr @ A_27d @ ( arr @ ( ty_2Elist_2Elist @ A_27d ) @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) ) ) )
% 5.64/5.88 & ? [V4b: $i] :
% 5.64/5.88 ( ( mem @ V4b @ A_27b )
% 5.64/5.88 & ( V0a0
% 5.64/5.88 = ( lam @ ( ty_2Elist_2Elist @ A_27d )
% 5.64/5.88 @ ^ [V5p: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Elist_2Elist @ A_27d ) ) @ V5p ) @ ( c_2Elist_2ENIL @ A_27d ) ) ) @ ( ap @ ( c_2Esum_2EINR @ A_27a @ A_27b ) @ V4b ) ) @ ( ap @ ( ap @ V3f @ ( ap @ ( c_2Elist_2EHD @ A_27d ) @ V5p ) ) @ ( ap @ ( c_2Elist_2ETL @ A_27d ) @ V5p ) ) ) ) )
% 5.64/5.88 & ! [V6d: $i] :
% 5.64/5.88 ( ( mem @ V6d @ A_27d )
% 5.64/5.88 => ( p @ ( ap @ ( c_2Einftree_2Eis__tree @ A_27a @ A_27b @ A_27d ) @ ( ap @ V3f @ V6d ) ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(ax_thm_2Einftree_2Einftree__TY__DEF,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,A_27d: del] :
% 5.64/5.88 ? [V0rep: $i] :
% 5.64/5.88 ( ( mem @ V0rep @ ( arr @ ( ty_2Einftree_2Einftree @ A_27a @ A_27b @ A_27d ) @ ( arr @ ( ty_2Elist_2Elist @ A_27d ) @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) ) ) )
% 5.64/5.88 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2ETYPE__DEFINITION @ ( arr @ ( ty_2Elist_2Elist @ A_27d ) @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) ) @ ( ty_2Einftree_2Einftree @ A_27a @ A_27b @ A_27d ) ) @ ( c_2Einftree_2Eis__tree @ A_27a @ A_27b @ A_27d ) ) @ V0rep ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(ax_thm_2Einftree_2Einftree__bijections,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,A_27d: del] :
% 5.64/5.88 ( ! [V0a: $i] :
% 5.64/5.88 ( ( mem @ V0a @ ( ty_2Einftree_2Einftree @ A_27a @ A_27b @ A_27d ) )
% 5.64/5.88 => ( ( ap @ ( c_2Einftree_2Eto__inftree @ A_27a @ A_27b @ A_27d ) @ ( ap @ ( c_2Einftree_2Efrom__inftree @ A_27a @ A_27b @ A_27d ) @ V0a ) )
% 5.64/5.88 = V0a ) )
% 5.64/5.88 & ! [V1r: $i] :
% 5.64/5.88 ( ( mem @ V1r @ ( arr @ ( ty_2Elist_2Elist @ A_27d ) @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( c_2Einftree_2Eis__tree @ A_27a @ A_27b @ A_27d ) @ V1r ) )
% 5.64/5.88 <=> ( ( ap @ ( c_2Einftree_2Efrom__inftree @ A_27a @ A_27b @ A_27d ) @ ( ap @ ( c_2Einftree_2Eto__inftree @ A_27a @ A_27b @ A_27d ) @ V1r ) )
% 5.64/5.88 = V1r ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(ax_thm_2Einftree_2EiLf__def,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,A_27c: del,V0a: $i] :
% 5.64/5.88 ( ( mem @ V0a @ A_27a )
% 5.64/5.88 => ( ( ap @ ( c_2Einftree_2EiLf @ A_27a @ A_27b @ A_27c ) @ V0a )
% 5.64/5.88 = ( ap @ ( c_2Einftree_2Eto__inftree @ A_27a @ A_27b @ A_27c )
% 5.64/5.88 @ ( lam @ ( ty_2Elist_2Elist @ A_27c )
% 5.64/5.88 @ ^ [V1p: $i] : ( ap @ ( c_2Esum_2EINL @ A_27a @ A_27b ) @ V0a ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(ax_thm_2Einftree_2EiNd__def,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,A_27c: del,V0b: $i] :
% 5.64/5.88 ( ( mem @ V0b @ A_27b )
% 5.64/5.88 => ! [V1f: $i] :
% 5.64/5.88 ( ( mem @ V1f @ ( arr @ A_27c @ ( ty_2Einftree_2Einftree @ A_27a @ A_27b @ A_27c ) ) )
% 5.64/5.88 => ( ( ap @ ( ap @ ( c_2Einftree_2EiNd @ A_27a @ A_27b @ A_27c ) @ V0b ) @ V1f )
% 5.64/5.88 = ( ap @ ( c_2Einftree_2Eto__inftree @ A_27a @ A_27b @ A_27c )
% 5.64/5.88 @ ( lam @ ( ty_2Elist_2Elist @ A_27c )
% 5.64/5.88 @ ^ [V2p: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Elist_2Elist @ A_27c ) ) @ V2p ) @ ( c_2Elist_2ENIL @ A_27c ) ) ) @ ( ap @ ( c_2Esum_2EINR @ A_27a @ A_27b ) @ V0b ) ) @ ( ap @ ( ap @ ( c_2Einftree_2Efrom__inftree @ A_27a @ A_27b @ A_27c ) @ ( ap @ V1f @ ( ap @ ( c_2Elist_2EHD @ A_27c ) @ V2p ) ) ) @ ( ap @ ( c_2Elist_2ETL @ A_27c ) @ V2p ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Einftree_2EiNd__is__tree,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,A_27c: del,V0b: $i] :
% 5.64/5.88 ( ( mem @ V0b @ A_27a )
% 5.64/5.88 => ! [V1f: $i] :
% 5.64/5.88 ( ( mem @ V1f @ ( arr @ A_27b @ ( ty_2Einftree_2Einftree @ A_27c @ A_27a @ A_27b ) ) )
% 5.64/5.88 => ( p
% 5.64/5.88 @ ( ap @ ( c_2Einftree_2Eis__tree @ A_27c @ A_27a @ A_27b )
% 5.64/5.88 @ ( lam @ ( ty_2Elist_2Elist @ A_27b )
% 5.64/5.88 @ ^ [V2p: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Esum_2Esum @ A_27c @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Elist_2Elist @ A_27b ) ) @ V2p ) @ ( c_2Elist_2ENIL @ A_27b ) ) ) @ ( ap @ ( c_2Esum_2EINR @ A_27c @ A_27a ) @ V0b ) ) @ ( ap @ ( ap @ ( c_2Einftree_2Efrom__inftree @ A_27c @ A_27a @ A_27b ) @ ( ap @ V1f @ ( ap @ ( c_2Elist_2EHD @ A_27b ) @ V2p ) ) ) @ ( ap @ ( c_2Elist_2ETL @ A_27b ) @ V2p ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Einftree_2Einftree__11,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,A_27c: del,V0a1: $i] :
% 5.64/5.88 ( ( mem @ V0a1 @ A_27a )
% 5.64/5.88 => ! [V1a2: $i] :
% 5.64/5.88 ( ( mem @ V1a2 @ A_27a )
% 5.64/5.88 => ! [V2b1: $i] :
% 5.64/5.88 ( ( mem @ V2b1 @ A_27b )
% 5.64/5.88 => ! [V3f1: $i] :
% 5.64/5.88 ( ( mem @ V3f1 @ ( arr @ A_27c @ ( ty_2Einftree_2Einftree @ A_27a @ A_27b @ A_27c ) ) )
% 5.64/5.88 => ! [V4b2: $i] :
% 5.64/5.88 ( ( mem @ V4b2 @ A_27b )
% 5.64/5.88 => ! [V5f2: $i] :
% 5.64/5.88 ( ( mem @ V5f2 @ ( arr @ A_27c @ ( ty_2Einftree_2Einftree @ A_27a @ A_27b @ A_27c ) ) )
% 5.64/5.88 => ( ( ( ( ap @ ( c_2Einftree_2EiLf @ A_27a @ A_27b @ A_27c ) @ V0a1 )
% 5.64/5.88 = ( ap @ ( c_2Einftree_2EiLf @ A_27a @ A_27b @ A_27c ) @ V1a2 ) )
% 5.64/5.88 <=> ( V0a1 = V1a2 ) )
% 5.64/5.88 & ( ( ( ap @ ( ap @ ( c_2Einftree_2EiNd @ A_27a @ A_27b @ A_27c ) @ V2b1 ) @ V3f1 )
% 5.64/5.88 = ( ap @ ( ap @ ( c_2Einftree_2EiNd @ A_27a @ A_27b @ A_27c ) @ V4b2 ) @ V5f2 ) )
% 5.64/5.88 <=> ( ( V2b1 = V4b2 )
% 5.64/5.88 & ( V3f1 = V5f2 ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Einftree_2Einftree__distinct,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,A_27c: del,V0a: $i] :
% 5.64/5.88 ( ( mem @ V0a @ A_27a )
% 5.64/5.88 => ! [V1b: $i] :
% 5.64/5.88 ( ( mem @ V1b @ A_27b )
% 5.64/5.88 => ! [V2f: $i] :
% 5.64/5.88 ( ( mem @ V2f @ ( arr @ A_27c @ ( ty_2Einftree_2Einftree @ A_27a @ A_27b @ A_27c ) ) )
% 5.64/5.88 => ( ( ap @ ( c_2Einftree_2EiLf @ A_27a @ A_27b @ A_27c ) @ V0a )
% 5.64/5.88 != ( ap @ ( ap @ ( c_2Einftree_2EiNd @ A_27a @ A_27b @ A_27c ) @ V1b ) @ V2f ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Einftree_2Einftree__ind,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,A_27c: del,V0P: $i] :
% 5.64/5.88 ( ( mem @ V0P @ ( arr @ ( ty_2Einftree_2Einftree @ A_27a @ A_27b @ A_27c ) @ bool ) )
% 5.64/5.88 => ( ( ! [V1a: $i] :
% 5.64/5.88 ( ( mem @ V1a @ A_27a )
% 5.64/5.88 => ( p @ ( ap @ V0P @ ( ap @ ( c_2Einftree_2EiLf @ A_27a @ A_27b @ A_27c ) @ V1a ) ) ) )
% 5.64/5.88 & ! [V2b: $i] :
% 5.64/5.88 ( ( mem @ V2b @ A_27b )
% 5.64/5.88 => ! [V3f: $i] :
% 5.64/5.88 ( ( mem @ V3f @ ( arr @ A_27c @ ( ty_2Einftree_2Einftree @ A_27a @ A_27b @ A_27c ) ) )
% 5.64/5.88 => ( ! [V4d: $i] :
% 5.64/5.88 ( ( mem @ V4d @ A_27c )
% 5.64/5.88 => ( p @ ( ap @ V0P @ ( ap @ V3f @ V4d ) ) ) )
% 5.64/5.88 => ( p @ ( ap @ V0P @ ( ap @ ( ap @ ( c_2Einftree_2EiNd @ A_27a @ A_27b @ A_27c ) @ V2b ) @ V3f ) ) ) ) ) ) )
% 5.64/5.88 => ! [V5t: $i] :
% 5.64/5.88 ( ( mem @ V5t @ ( ty_2Einftree_2Einftree @ A_27a @ A_27b @ A_27c ) )
% 5.64/5.88 => ( p @ ( ap @ V0P @ V5t ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(ax_thm_2Einftree_2Erelrec__def,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del] :
% 5.64/5.88 ( ( c_2Einftree_2Erelrec @ A_27a @ A_27b @ A_27c @ A_27d )
% 5.64/5.88 = ( lam @ ( arr @ A_27a @ A_27b )
% 5.64/5.88 @ ^ [V0a0: $i] :
% 5.64/5.88 ( lam @ ( arr @ A_27c @ ( arr @ ( arr @ A_27d @ A_27b ) @ A_27b ) )
% 5.64/5.88 @ ^ [V1a1: $i] :
% 5.64/5.88 ( lam @ ( ty_2Einftree_2Einftree @ A_27a @ A_27c @ A_27d )
% 5.64/5.88 @ ^ [V2a2: $i] :
% 5.64/5.88 ( lam @ A_27b
% 5.64/5.88 @ ^ [V3a3: $i] :
% 5.64/5.88 ( ap @ ( c_2Ebool_2E_21 @ ( arr @ ( arr @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27c @ ( arr @ ( arr @ A_27d @ A_27b ) @ A_27b ) ) @ ( arr @ ( ty_2Einftree_2Einftree @ A_27a @ A_27c @ A_27d ) @ ( arr @ A_27b @ bool ) ) ) ) )
% 5.64/5.88 @ ( lam @ ( arr @ ( arr @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27c @ ( arr @ ( arr @ A_27d @ A_27b ) @ A_27b ) ) @ ( arr @ ( ty_2Einftree_2Einftree @ A_27a @ A_27c @ A_27d ) @ ( arr @ A_27b @ bool ) ) ) )
% 5.64/5.88 @ ^ [V4relrec_27: $i] :
% 5.64/5.88 ( ap
% 5.64/5.88 @ ( ap @ c_2Emin_2E_3D_3D_3E
% 5.64/5.88 @ ( ap @ ( c_2Ebool_2E_21 @ ( arr @ A_27a @ A_27b ) )
% 5.64/5.88 @ ( lam @ ( arr @ A_27a @ A_27b )
% 5.64/5.88 @ ^ [V5a0: $i] :
% 5.64/5.88 ( ap @ ( c_2Ebool_2E_21 @ ( arr @ A_27c @ ( arr @ ( arr @ A_27d @ A_27b ) @ A_27b ) ) )
% 5.64/5.88 @ ( lam @ ( arr @ A_27c @ ( arr @ ( arr @ A_27d @ A_27b ) @ A_27b ) )
% 5.64/5.88 @ ^ [V6a1: $i] :
% 5.64/5.88 ( ap @ ( c_2Ebool_2E_21 @ ( ty_2Einftree_2Einftree @ A_27a @ A_27c @ A_27d ) )
% 5.64/5.88 @ ( lam @ ( ty_2Einftree_2Einftree @ A_27a @ A_27c @ A_27d )
% 5.64/5.88 @ ^ [V7a2: $i] :
% 5.64/5.88 ( ap @ ( c_2Ebool_2E_21 @ A_27b )
% 5.64/5.88 @ ( lam @ A_27b
% 5.64/5.88 @ ^ [V8a3: $i] :
% 5.64/5.88 ( ap
% 5.64/5.88 @ ( ap @ c_2Emin_2E_3D_3D_3E
% 5.64/5.88 @ ( ap
% 5.64/5.88 @ ( ap @ c_2Ebool_2E_5C_2F
% 5.64/5.88 @ ( ap @ ( c_2Ebool_2E_3F @ A_27a )
% 5.64/5.88 @ ( lam @ A_27a
% 5.64/5.88 @ ^ [V9a: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Einftree_2Einftree @ A_27a @ A_27c @ A_27d ) ) @ V7a2 ) @ ( ap @ ( c_2Einftree_2EiLf @ A_27a @ A_27c @ A_27d ) @ V9a ) ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27b ) @ V8a3 ) @ ( ap @ V5a0 @ V9a ) ) ) ) ) )
% 5.64/5.88 @ ( ap @ ( c_2Ebool_2E_3F @ A_27c )
% 5.64/5.88 @ ( lam @ A_27c
% 5.64/5.88 @ ^ [V10b: $i] :
% 5.64/5.88 ( ap @ ( c_2Ebool_2E_3F @ ( arr @ A_27d @ ( ty_2Einftree_2Einftree @ A_27a @ A_27c @ A_27d ) ) )
% 5.64/5.88 @ ( lam @ ( arr @ A_27d @ ( ty_2Einftree_2Einftree @ A_27a @ A_27c @ A_27d ) )
% 5.64/5.88 @ ^ [V11df: $i] :
% 5.64/5.88 ( ap @ ( c_2Ebool_2E_3F @ ( arr @ A_27d @ A_27b ) )
% 5.64/5.88 @ ( lam @ ( arr @ A_27d @ A_27b )
% 5.64/5.88 @ ^ [V12g: $i] :
% 5.64/5.88 ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Einftree_2Einftree @ A_27a @ A_27c @ A_27d ) ) @ V7a2 ) @ ( ap @ ( ap @ ( c_2Einftree_2EiNd @ A_27a @ A_27c @ A_27d ) @ V10b ) @ V11df ) ) )
% 5.64/5.88 @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27b ) @ V8a3 ) @ ( ap @ ( ap @ V6a1 @ V10b ) @ V12g ) ) )
% 5.64/5.88 @ ( ap @ ( c_2Ebool_2E_21 @ A_27d )
% 5.64/5.88 @ ( lam @ A_27d
% 5.64/5.88 @ ^ [V13d: $i] : ( ap @ ( ap @ ( ap @ ( ap @ V4relrec_27 @ V5a0 ) @ V6a1 ) @ ( ap @ V11df @ V13d ) ) @ ( ap @ V12g @ V13d ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.64/5.88 @ ( ap @ ( ap @ ( ap @ ( ap @ V4relrec_27 @ V5a0 ) @ V6a1 ) @ V7a2 ) @ V8a3 ) ) ) ) ) ) ) ) ) ) )
% 5.64/5.88 @ ( ap @ ( ap @ ( ap @ ( ap @ V4relrec_27 @ V0a0 ) @ V1a1 ) @ V2a2 ) @ V3a3 ) ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Einftree_2Erelrec__rules,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del] :
% 5.64/5.88 ( ! [V0lf: $i] :
% 5.64/5.88 ( ( mem @ V0lf @ ( arr @ A_27a @ A_27b ) )
% 5.64/5.88 => ! [V1nd: $i] :
% 5.64/5.88 ( ( mem @ V1nd @ ( arr @ A_27c @ ( arr @ ( arr @ A_27d @ A_27b ) @ A_27b ) ) )
% 5.64/5.88 => ! [V2a: $i] :
% 5.64/5.88 ( ( mem @ V2a @ A_27a )
% 5.64/5.88 => ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Einftree_2Erelrec @ A_27a @ A_27b @ A_27c @ A_27d ) @ V0lf ) @ V1nd ) @ ( ap @ ( c_2Einftree_2EiLf @ A_27a @ A_27c @ A_27d ) @ V2a ) ) @ ( ap @ V0lf @ V2a ) ) ) ) ) )
% 5.64/5.88 & ! [V3lf: $i] :
% 5.64/5.88 ( ( mem @ V3lf @ ( arr @ A_27a @ A_27b ) )
% 5.64/5.88 => ! [V4nd: $i] :
% 5.64/5.88 ( ( mem @ V4nd @ ( arr @ A_27c @ ( arr @ ( arr @ A_27d @ A_27b ) @ A_27b ) ) )
% 5.64/5.88 => ! [V5b: $i] :
% 5.64/5.88 ( ( mem @ V5b @ A_27c )
% 5.64/5.88 => ! [V6df: $i] :
% 5.64/5.88 ( ( mem @ V6df @ ( arr @ A_27d @ ( ty_2Einftree_2Einftree @ A_27a @ A_27c @ A_27d ) ) )
% 5.64/5.88 => ! [V7g: $i] :
% 5.64/5.88 ( ( mem @ V7g @ ( arr @ A_27d @ A_27b ) )
% 5.64/5.88 => ( ! [V8d: $i] :
% 5.64/5.88 ( ( mem @ V8d @ A_27d )
% 5.64/5.88 => ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Einftree_2Erelrec @ A_27a @ A_27b @ A_27c @ A_27d ) @ V3lf ) @ V4nd ) @ ( ap @ V6df @ V8d ) ) @ ( ap @ V7g @ V8d ) ) ) )
% 5.64/5.88 => ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Einftree_2Erelrec @ A_27a @ A_27b @ A_27c @ A_27d ) @ V3lf ) @ V4nd ) @ ( ap @ ( ap @ ( c_2Einftree_2EiNd @ A_27a @ A_27c @ A_27d ) @ V5b ) @ V6df ) ) @ ( ap @ ( ap @ V4nd @ V5b ) @ V7g ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Einftree_2Erelrec__ind,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0relrec_27: $i] :
% 5.64/5.88 ( ( mem @ V0relrec_27 @ ( arr @ ( arr @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27c @ ( arr @ ( arr @ A_27d @ A_27b ) @ A_27b ) ) @ ( arr @ ( ty_2Einftree_2Einftree @ A_27a @ A_27c @ A_27d ) @ ( arr @ A_27b @ bool ) ) ) ) )
% 5.64/5.88 => ( ( ! [V1lf: $i] :
% 5.64/5.88 ( ( mem @ V1lf @ ( arr @ A_27a @ A_27b ) )
% 5.64/5.88 => ! [V2nd: $i] :
% 5.64/5.88 ( ( mem @ V2nd @ ( arr @ A_27c @ ( arr @ ( arr @ A_27d @ A_27b ) @ A_27b ) ) )
% 5.64/5.88 => ! [V3a: $i] :
% 5.64/5.88 ( ( mem @ V3a @ A_27a )
% 5.64/5.88 => ( p @ ( ap @ ( ap @ ( ap @ ( ap @ V0relrec_27 @ V1lf ) @ V2nd ) @ ( ap @ ( c_2Einftree_2EiLf @ A_27a @ A_27c @ A_27d ) @ V3a ) ) @ ( ap @ V1lf @ V3a ) ) ) ) ) )
% 5.64/5.88 & ! [V4lf: $i] :
% 5.64/5.88 ( ( mem @ V4lf @ ( arr @ A_27a @ A_27b ) )
% 5.64/5.88 => ! [V5nd: $i] :
% 5.64/5.88 ( ( mem @ V5nd @ ( arr @ A_27c @ ( arr @ ( arr @ A_27d @ A_27b ) @ A_27b ) ) )
% 5.64/5.88 => ! [V6b: $i] :
% 5.64/5.88 ( ( mem @ V6b @ A_27c )
% 5.64/5.88 => ! [V7df: $i] :
% 5.64/5.88 ( ( mem @ V7df @ ( arr @ A_27d @ ( ty_2Einftree_2Einftree @ A_27a @ A_27c @ A_27d ) ) )
% 5.64/5.88 => ! [V8g: $i] :
% 5.64/5.88 ( ( mem @ V8g @ ( arr @ A_27d @ A_27b ) )
% 5.64/5.88 => ( ! [V9d: $i] :
% 5.64/5.88 ( ( mem @ V9d @ A_27d )
% 5.64/5.88 => ( p @ ( ap @ ( ap @ ( ap @ ( ap @ V0relrec_27 @ V4lf ) @ V5nd ) @ ( ap @ V7df @ V9d ) ) @ ( ap @ V8g @ V9d ) ) ) )
% 5.64/5.88 => ( p @ ( ap @ ( ap @ ( ap @ ( ap @ V0relrec_27 @ V4lf ) @ V5nd ) @ ( ap @ ( ap @ ( c_2Einftree_2EiNd @ A_27a @ A_27c @ A_27d ) @ V6b ) @ V7df ) ) @ ( ap @ ( ap @ V5nd @ V6b ) @ V8g ) ) ) ) ) ) ) ) ) )
% 5.64/5.88 => ! [V10a0: $i] :
% 5.64/5.88 ( ( mem @ V10a0 @ ( arr @ A_27a @ A_27b ) )
% 5.64/5.88 => ! [V11a1: $i] :
% 5.64/5.88 ( ( mem @ V11a1 @ ( arr @ A_27c @ ( arr @ ( arr @ A_27d @ A_27b ) @ A_27b ) ) )
% 5.64/5.88 => ! [V12a2: $i] :
% 5.64/5.88 ( ( mem @ V12a2 @ ( ty_2Einftree_2Einftree @ A_27a @ A_27c @ A_27d ) )
% 5.64/5.88 => ! [V13a3: $i] :
% 5.64/5.88 ( ( mem @ V13a3 @ A_27b )
% 5.64/5.88 => ( ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Einftree_2Erelrec @ A_27a @ A_27b @ A_27c @ A_27d ) @ V10a0 ) @ V11a1 ) @ V12a2 ) @ V13a3 ) )
% 5.64/5.88 => ( p @ ( ap @ ( ap @ ( ap @ ( ap @ V0relrec_27 @ V10a0 ) @ V11a1 ) @ V12a2 ) @ V13a3 ) ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Einftree_2Erelrec__strongind,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0relrec_27: $i] :
% 5.64/5.88 ( ( mem @ V0relrec_27 @ ( arr @ ( arr @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27c @ ( arr @ ( arr @ A_27d @ A_27b ) @ A_27b ) ) @ ( arr @ ( ty_2Einftree_2Einftree @ A_27a @ A_27c @ A_27d ) @ ( arr @ A_27b @ bool ) ) ) ) )
% 5.64/5.88 => ( ( ! [V1lf: $i] :
% 5.64/5.88 ( ( mem @ V1lf @ ( arr @ A_27a @ A_27b ) )
% 5.64/5.88 => ! [V2nd: $i] :
% 5.64/5.88 ( ( mem @ V2nd @ ( arr @ A_27c @ ( arr @ ( arr @ A_27d @ A_27b ) @ A_27b ) ) )
% 5.64/5.88 => ! [V3a: $i] :
% 5.64/5.88 ( ( mem @ V3a @ A_27a )
% 5.64/5.88 => ( p @ ( ap @ ( ap @ ( ap @ ( ap @ V0relrec_27 @ V1lf ) @ V2nd ) @ ( ap @ ( c_2Einftree_2EiLf @ A_27a @ A_27c @ A_27d ) @ V3a ) ) @ ( ap @ V1lf @ V3a ) ) ) ) ) )
% 5.64/5.88 & ! [V4lf: $i] :
% 5.64/5.88 ( ( mem @ V4lf @ ( arr @ A_27a @ A_27b ) )
% 5.64/5.88 => ! [V5nd: $i] :
% 5.64/5.88 ( ( mem @ V5nd @ ( arr @ A_27c @ ( arr @ ( arr @ A_27d @ A_27b ) @ A_27b ) ) )
% 5.64/5.88 => ! [V6b: $i] :
% 5.64/5.88 ( ( mem @ V6b @ A_27c )
% 5.64/5.88 => ! [V7df: $i] :
% 5.64/5.88 ( ( mem @ V7df @ ( arr @ A_27d @ ( ty_2Einftree_2Einftree @ A_27a @ A_27c @ A_27d ) ) )
% 5.64/5.88 => ! [V8g: $i] :
% 5.64/5.88 ( ( mem @ V8g @ ( arr @ A_27d @ A_27b ) )
% 5.64/5.88 => ( ! [V9d: $i] :
% 5.64/5.88 ( ( mem @ V9d @ A_27d )
% 5.64/5.88 => ( ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Einftree_2Erelrec @ A_27a @ A_27b @ A_27c @ A_27d ) @ V4lf ) @ V5nd ) @ ( ap @ V7df @ V9d ) ) @ ( ap @ V8g @ V9d ) ) )
% 5.64/5.88 & ( p @ ( ap @ ( ap @ ( ap @ ( ap @ V0relrec_27 @ V4lf ) @ V5nd ) @ ( ap @ V7df @ V9d ) ) @ ( ap @ V8g @ V9d ) ) ) ) )
% 5.64/5.88 => ( p @ ( ap @ ( ap @ ( ap @ ( ap @ V0relrec_27 @ V4lf ) @ V5nd ) @ ( ap @ ( ap @ ( c_2Einftree_2EiNd @ A_27a @ A_27c @ A_27d ) @ V6b ) @ V7df ) ) @ ( ap @ ( ap @ V5nd @ V6b ) @ V8g ) ) ) ) ) ) ) ) ) )
% 5.64/5.88 => ! [V10a0: $i] :
% 5.64/5.88 ( ( mem @ V10a0 @ ( arr @ A_27a @ A_27b ) )
% 5.64/5.88 => ! [V11a1: $i] :
% 5.64/5.88 ( ( mem @ V11a1 @ ( arr @ A_27c @ ( arr @ ( arr @ A_27d @ A_27b ) @ A_27b ) ) )
% 5.64/5.88 => ! [V12a2: $i] :
% 5.64/5.88 ( ( mem @ V12a2 @ ( ty_2Einftree_2Einftree @ A_27a @ A_27c @ A_27d ) )
% 5.64/5.88 => ! [V13a3: $i] :
% 5.64/5.88 ( ( mem @ V13a3 @ A_27b )
% 5.64/5.88 => ( ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Einftree_2Erelrec @ A_27a @ A_27b @ A_27c @ A_27d ) @ V10a0 ) @ V11a1 ) @ V12a2 ) @ V13a3 ) )
% 5.64/5.88 => ( p @ ( ap @ ( ap @ ( ap @ ( ap @ V0relrec_27 @ V10a0 ) @ V11a1 ) @ V12a2 ) @ V13a3 ) ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Einftree_2Erelrec__cases,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0a0: $i] :
% 5.64/5.88 ( ( mem @ V0a0 @ ( arr @ A_27a @ A_27b ) )
% 5.64/5.88 => ! [V1a1: $i] :
% 5.64/5.88 ( ( mem @ V1a1 @ ( arr @ A_27c @ ( arr @ ( arr @ A_27d @ A_27b ) @ A_27b ) ) )
% 5.64/5.88 => ! [V2a2: $i] :
% 5.64/5.88 ( ( mem @ V2a2 @ ( ty_2Einftree_2Einftree @ A_27a @ A_27c @ A_27d ) )
% 5.64/5.88 => ! [V3a3: $i] :
% 5.64/5.88 ( ( mem @ V3a3 @ A_27b )
% 5.64/5.88 => ( ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Einftree_2Erelrec @ A_27a @ A_27b @ A_27c @ A_27d ) @ V0a0 ) @ V1a1 ) @ V2a2 ) @ V3a3 ) )
% 5.64/5.88 <=> ( ? [V4a: $i] :
% 5.64/5.88 ( ( mem @ V4a @ A_27a )
% 5.64/5.88 & ( V2a2
% 5.64/5.88 = ( ap @ ( c_2Einftree_2EiLf @ A_27a @ A_27c @ A_27d ) @ V4a ) )
% 5.64/5.88 & ( V3a3
% 5.64/5.88 = ( ap @ V0a0 @ V4a ) ) )
% 5.64/5.88 | ? [V5b: $i] :
% 5.64/5.88 ( ( mem @ V5b @ A_27c )
% 5.64/5.88 & ? [V6df: $i] :
% 5.64/5.88 ( ( mem @ V6df @ ( arr @ A_27d @ ( ty_2Einftree_2Einftree @ A_27a @ A_27c @ A_27d ) ) )
% 5.64/5.88 & ? [V7g: $i] :
% 5.64/5.88 ( ( mem @ V7g @ ( arr @ A_27d @ A_27b ) )
% 5.64/5.88 & ( V2a2
% 5.64/5.88 = ( ap @ ( ap @ ( c_2Einftree_2EiNd @ A_27a @ A_27c @ A_27d ) @ V5b ) @ V6df ) )
% 5.64/5.88 & ( V3a3
% 5.64/5.88 = ( ap @ ( ap @ V1a1 @ V5b ) @ V7g ) )
% 5.64/5.88 & ! [V8d: $i] :
% 5.64/5.88 ( ( mem @ V8d @ A_27d )
% 5.64/5.88 => ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Einftree_2Erelrec @ A_27a @ A_27b @ A_27c @ A_27d ) @ V0a0 ) @ V1a1 ) @ ( ap @ V6df @ V8d ) ) @ ( ap @ V7g @ V8d ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(ax_thm_2Einftree_2Einftree__rec__def,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0lf: $i] :
% 5.64/5.88 ( ( mem @ V0lf @ ( arr @ A_27b @ A_27a ) )
% 5.64/5.88 => ! [V1nd: $i] :
% 5.64/5.88 ( ( mem @ V1nd @ ( arr @ A_27c @ ( arr @ ( arr @ A_27d @ A_27a ) @ A_27a ) ) )
% 5.64/5.88 => ! [V2t: $i] :
% 5.64/5.88 ( ( mem @ V2t @ ( ty_2Einftree_2Einftree @ A_27b @ A_27c @ A_27d ) )
% 5.64/5.88 => ( ( ap @ ( ap @ ( ap @ ( c_2Einftree_2Einftree__rec @ A_27a @ A_27b @ A_27c @ A_27d ) @ V0lf ) @ V1nd ) @ V2t )
% 5.64/5.88 = ( ap @ ( c_2Emin_2E_40 @ A_27a )
% 5.64/5.88 @ ( lam @ A_27a
% 5.64/5.88 @ ^ [V3r: $i] : ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Einftree_2Erelrec @ A_27b @ A_27a @ A_27c @ A_27d ) @ V0lf ) @ V1nd ) @ V2t ) @ V3r ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Einftree_2Einftree__Axiom,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0lf: $i] :
% 5.64/5.88 ( ( mem @ V0lf @ ( arr @ A_27a @ A_27d ) )
% 5.64/5.88 => ! [V1nd: $i] :
% 5.64/5.88 ( ( mem @ V1nd @ ( arr @ A_27b @ ( arr @ ( arr @ A_27c @ ( ty_2Einftree_2Einftree @ A_27a @ A_27b @ A_27c ) ) @ ( arr @ ( arr @ A_27c @ A_27d ) @ A_27d ) ) ) )
% 5.64/5.88 => ? [V2f: $i] :
% 5.64/5.88 ( ( mem @ V2f @ ( arr @ ( ty_2Einftree_2Einftree @ A_27a @ A_27b @ A_27c ) @ A_27d ) )
% 5.64/5.88 & ! [V3a: $i] :
% 5.64/5.88 ( ( mem @ V3a @ A_27a )
% 5.64/5.88 => ( ( ap @ V2f @ ( ap @ ( c_2Einftree_2EiLf @ A_27a @ A_27b @ A_27c ) @ V3a ) )
% 5.64/5.88 = ( ap @ V0lf @ V3a ) ) )
% 5.64/5.88 & ! [V4b: $i] :
% 5.64/5.88 ( ( mem @ V4b @ A_27b )
% 5.64/5.88 => ! [V5d: $i] :
% 5.64/5.88 ( ( mem @ V5d @ ( arr @ A_27c @ ( ty_2Einftree_2Einftree @ A_27a @ A_27b @ A_27c ) ) )
% 5.64/5.88 => ( ( ap @ V2f @ ( ap @ ( ap @ ( c_2Einftree_2EiNd @ A_27a @ A_27b @ A_27c ) @ V4b ) @ V5d ) )
% 5.64/5.88 = ( ap @ ( ap @ ( ap @ V1nd @ V4b ) @ V5d ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27c @ A_27d @ ( ty_2Einftree_2Einftree @ A_27a @ A_27b @ A_27c ) ) @ V2f ) @ V5d ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(ax_thm_2Einftree_2Einftree__case__def,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del] :
% 5.64/5.88 ( ! [V0a: $i] :
% 5.64/5.88 ( ( mem @ V0a @ A_27a )
% 5.64/5.88 => ! [V1f: $i] :
% 5.64/5.88 ( ( mem @ V1f @ ( arr @ A_27a @ A_27d ) )
% 5.64/5.88 => ! [V2f1: $i] :
% 5.64/5.88 ( ( mem @ V2f1 @ ( arr @ A_27b @ ( arr @ ( arr @ A_27c @ ( ty_2Einftree_2Einftree @ A_27a @ A_27b @ A_27c ) ) @ A_27d ) ) )
% 5.64/5.88 => ( ( ap @ ( ap @ ( ap @ ( c_2Einftree_2Einftree__CASE @ A_27a @ A_27b @ A_27c @ A_27d ) @ ( ap @ ( c_2Einftree_2EiLf @ A_27a @ A_27b @ A_27c ) @ V0a ) ) @ V1f ) @ V2f1 )
% 5.64/5.88 = ( ap @ V1f @ V0a ) ) ) ) )
% 5.64/5.88 & ! [V3b: $i] :
% 5.64/5.88 ( ( mem @ V3b @ A_27b )
% 5.64/5.88 => ! [V4d: $i] :
% 5.64/5.88 ( ( mem @ V4d @ ( arr @ A_27c @ ( ty_2Einftree_2Einftree @ A_27a @ A_27b @ A_27c ) ) )
% 5.64/5.88 => ! [V5f: $i] :
% 5.64/5.88 ( ( mem @ V5f @ ( arr @ A_27a @ A_27d ) )
% 5.64/5.88 => ! [V6f1: $i] :
% 5.64/5.88 ( ( mem @ V6f1 @ ( arr @ A_27b @ ( arr @ ( arr @ A_27c @ ( ty_2Einftree_2Einftree @ A_27a @ A_27b @ A_27c ) ) @ A_27d ) ) )
% 5.64/5.88 => ( ( ap @ ( ap @ ( ap @ ( c_2Einftree_2Einftree__CASE @ A_27a @ A_27b @ A_27c @ A_27d ) @ ( ap @ ( ap @ ( c_2Einftree_2EiNd @ A_27a @ A_27b @ A_27c ) @ V3b ) @ V4d ) ) @ V5f ) @ V6f1 )
% 5.64/5.88 = ( ap @ ( ap @ V6f1 @ V3b ) @ V4d ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Einftree_2Einftree__nchotomy,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,A_27c: del,V0t: $i] :
% 5.64/5.88 ( ( mem @ V0t @ ( ty_2Einftree_2Einftree @ A_27a @ A_27b @ A_27c ) )
% 5.64/5.88 => ( ? [V1a: $i] :
% 5.64/5.88 ( ( mem @ V1a @ A_27a )
% 5.64/5.88 & ( V0t
% 5.64/5.88 = ( ap @ ( c_2Einftree_2EiLf @ A_27a @ A_27b @ A_27c ) @ V1a ) ) )
% 5.64/5.88 | ? [V2b: $i] :
% 5.64/5.88 ( ( mem @ V2b @ A_27b )
% 5.64/5.88 & ? [V3d: $i] :
% 5.64/5.88 ( ( mem @ V3d @ ( arr @ A_27c @ ( ty_2Einftree_2Einftree @ A_27a @ A_27b @ A_27c ) ) )
% 5.64/5.88 & ( V0t
% 5.64/5.88 = ( ap @ ( ap @ ( c_2Einftree_2EiNd @ A_27a @ A_27b @ A_27c ) @ V2b ) @ V3d ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 %------------------------------------------------------------------------------
% 5.64/5.88 %------------------------------------------------------------------------------
% 5.64/5.88 thf(tp_ty_2Efcp_2Ebit0,type,
% 5.64/5.88 ty_2Efcp_2Ebit0: del > del ).
% 5.64/5.88
% 5.64/5.88 thf(tp_ty_2Efcp_2Ebit1,type,
% 5.64/5.88 ty_2Efcp_2Ebit1: del > del ).
% 5.64/5.88
% 5.64/5.88 thf(tp_ty_2Efcp_2Ecart,type,
% 5.64/5.88 ty_2Efcp_2Ecart: del > del > del ).
% 5.64/5.88
% 5.64/5.88 thf(tp_ty_2Efcp_2Efinite__image,type,
% 5.64/5.88 ty_2Efcp_2Efinite__image: del > del ).
% 5.64/5.88
% 5.64/5.88 thf(tp_c_2Efcp_2E_3A_2B,type,
% 5.64/5.88 c_2Efcp_2E_3A_2B: del > del > $i ).
% 5.64/5.88
% 5.64/5.88 thf(mem_c_2Efcp_2E_3A_2B,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Efcp_2E_3A_2B @ A_27a @ A_27b ) @ ( arr @ ty_2Enum_2Enum @ ( arr @ A_27a @ ( arr @ ( ty_2Efcp_2Ecart @ A_27a @ A_27b ) @ ( ty_2Efcp_2Ecart @ A_27a @ A_27b ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(tp_c_2Efcp_2EBIT0A,type,
% 5.64/5.88 c_2Efcp_2EBIT0A: del > $i ).
% 5.64/5.88
% 5.64/5.88 thf(mem_c_2Efcp_2EBIT0A,axiom,
% 5.64/5.88 ! [A_27a: del] : ( mem @ ( c_2Efcp_2EBIT0A @ A_27a ) @ ( arr @ A_27a @ ( ty_2Efcp_2Ebit0 @ A_27a ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(tp_c_2Efcp_2EBIT0B,type,
% 5.64/5.88 c_2Efcp_2EBIT0B: del > $i ).
% 5.64/5.88
% 5.64/5.88 thf(mem_c_2Efcp_2EBIT0B,axiom,
% 5.64/5.88 ! [A_27a: del] : ( mem @ ( c_2Efcp_2EBIT0B @ A_27a ) @ ( arr @ A_27a @ ( ty_2Efcp_2Ebit0 @ A_27a ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(tp_c_2Efcp_2EBIT1A,type,
% 5.64/5.88 c_2Efcp_2EBIT1A: del > $i ).
% 5.64/5.88
% 5.64/5.88 thf(mem_c_2Efcp_2EBIT1A,axiom,
% 5.64/5.88 ! [A_27a: del] : ( mem @ ( c_2Efcp_2EBIT1A @ A_27a ) @ ( arr @ A_27a @ ( ty_2Efcp_2Ebit1 @ A_27a ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(tp_c_2Efcp_2EBIT1B,type,
% 5.64/5.88 c_2Efcp_2EBIT1B: del > $i ).
% 5.64/5.88
% 5.64/5.88 thf(mem_c_2Efcp_2EBIT1B,axiom,
% 5.64/5.88 ! [A_27a: del] : ( mem @ ( c_2Efcp_2EBIT1B @ A_27a ) @ ( arr @ A_27a @ ( ty_2Efcp_2Ebit1 @ A_27a ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(tp_c_2Efcp_2EBIT1C,type,
% 5.64/5.88 c_2Efcp_2EBIT1C: del > $i ).
% 5.64/5.88
% 5.64/5.88 thf(mem_c_2Efcp_2EBIT1C,axiom,
% 5.64/5.88 ! [A_27a: del] : ( mem @ ( c_2Efcp_2EBIT1C @ A_27a ) @ ( ty_2Efcp_2Ebit1 @ A_27a ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(tp_c_2Efcp_2EFCP,type,
% 5.64/5.88 c_2Efcp_2EFCP: del > del > $i ).
% 5.64/5.88
% 5.64/5.88 thf(mem_c_2Efcp_2EFCP,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Efcp_2EFCP @ A_27a @ A_27b ) @ ( arr @ ( arr @ ty_2Enum_2Enum @ A_27a ) @ ( ty_2Efcp_2Ecart @ A_27a @ A_27b ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(tp_c_2Efcp_2EFCP__CONCAT,type,
% 5.64/5.88 c_2Efcp_2EFCP__CONCAT: del > del > del > $i ).
% 5.64/5.88
% 5.64/5.88 thf(mem_c_2Efcp_2EFCP__CONCAT,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,A_27c: del] : ( mem @ ( c_2Efcp_2EFCP__CONCAT @ A_27a @ A_27b @ A_27c ) @ ( arr @ ( ty_2Efcp_2Ecart @ A_27a @ A_27b ) @ ( arr @ ( ty_2Efcp_2Ecart @ A_27a @ A_27c ) @ ( ty_2Efcp_2Ecart @ A_27a @ ( ty_2Esum_2Esum @ A_27b @ A_27c ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(tp_c_2Efcp_2EFCP__CONS,type,
% 5.64/5.88 c_2Efcp_2EFCP__CONS: del > del > del > $i ).
% 5.64/5.88
% 5.64/5.88 thf(mem_c_2Efcp_2EFCP__CONS,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,A_27c: del] : ( mem @ ( c_2Efcp_2EFCP__CONS @ A_27a @ A_27b @ A_27c ) @ ( arr @ A_27a @ ( arr @ ( ty_2Efcp_2Ecart @ A_27a @ A_27b ) @ ( ty_2Efcp_2Ecart @ A_27a @ A_27c ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(tp_c_2Efcp_2EFCP__EVERY,type,
% 5.64/5.88 c_2Efcp_2EFCP__EVERY: del > del > $i ).
% 5.64/5.88
% 5.64/5.88 thf(mem_c_2Efcp_2EFCP__EVERY,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Efcp_2EFCP__EVERY @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27b @ bool ) @ ( arr @ ( ty_2Efcp_2Ecart @ A_27b @ A_27a ) @ bool ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(tp_c_2Efcp_2EFCP__EXISTS,type,
% 5.64/5.88 c_2Efcp_2EFCP__EXISTS: del > del > $i ).
% 5.64/5.88
% 5.64/5.88 thf(mem_c_2Efcp_2EFCP__EXISTS,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Efcp_2EFCP__EXISTS @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27b @ bool ) @ ( arr @ ( ty_2Efcp_2Ecart @ A_27b @ A_27a ) @ bool ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(tp_c_2Efcp_2EFCP__FOLD,type,
% 5.64/5.88 c_2Efcp_2EFCP__FOLD: del > del > del > $i ).
% 5.64/5.88
% 5.64/5.88 thf(mem_c_2Efcp_2EFCP__FOLD,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,A_27c: del] : ( mem @ ( c_2Efcp_2EFCP__FOLD @ A_27a @ A_27b @ A_27c ) @ ( arr @ ( arr @ A_27b @ ( arr @ A_27a @ A_27b ) ) @ ( arr @ A_27b @ ( arr @ ( ty_2Efcp_2Ecart @ A_27a @ A_27c ) @ A_27b ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(tp_c_2Efcp_2EFCP__HD,type,
% 5.64/5.88 c_2Efcp_2EFCP__HD: del > del > $i ).
% 5.64/5.88
% 5.64/5.88 thf(mem_c_2Efcp_2EFCP__HD,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Efcp_2EFCP__HD @ A_27a @ A_27b ) @ ( arr @ ( ty_2Efcp_2Ecart @ A_27a @ A_27b ) @ A_27a ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(tp_c_2Efcp_2EFCP__MAP,type,
% 5.64/5.88 c_2Efcp_2EFCP__MAP: del > del > del > $i ).
% 5.64/5.88
% 5.64/5.88 thf(mem_c_2Efcp_2EFCP__MAP,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,A_27c: del] : ( mem @ ( c_2Efcp_2EFCP__MAP @ A_27a @ A_27b @ A_27c ) @ ( arr @ ( arr @ A_27a @ A_27b ) @ ( arr @ ( ty_2Efcp_2Ecart @ A_27a @ A_27c ) @ ( ty_2Efcp_2Ecart @ A_27b @ A_27c ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(tp_c_2Efcp_2EFCP__TL,type,
% 5.64/5.88 c_2Efcp_2EFCP__TL: del > del > del > $i ).
% 5.64/5.88
% 5.64/5.88 thf(mem_c_2Efcp_2EFCP__TL,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,A_27c: del] : ( mem @ ( c_2Efcp_2EFCP__TL @ A_27a @ A_27b @ A_27c ) @ ( arr @ ( ty_2Efcp_2Ecart @ A_27a @ A_27c ) @ ( ty_2Efcp_2Ecart @ A_27a @ A_27b ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(tp_c_2Efcp_2EFCP__ZIP,type,
% 5.64/5.88 c_2Efcp_2EFCP__ZIP: del > del > del > $i ).
% 5.64/5.88
% 5.64/5.88 thf(mem_c_2Efcp_2EFCP__ZIP,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,A_27c: del] : ( mem @ ( c_2Efcp_2EFCP__ZIP @ A_27a @ A_27b @ A_27c ) @ ( arr @ ( ty_2Efcp_2Ecart @ A_27a @ A_27b ) @ ( arr @ ( ty_2Efcp_2Ecart @ A_27c @ A_27b ) @ ( ty_2Efcp_2Ecart @ ( ty_2Epair_2Eprod @ A_27a @ A_27c ) @ A_27b ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(tp_c_2Efcp_2EHAS__SIZE,type,
% 5.64/5.88 c_2Efcp_2EHAS__SIZE: del > $i ).
% 5.64/5.88
% 5.64/5.88 thf(mem_c_2Efcp_2EHAS__SIZE,axiom,
% 5.64/5.88 ! [A_27a: del] : ( mem @ ( c_2Efcp_2EHAS__SIZE @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ty_2Enum_2Enum @ bool ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(tp_c_2Efcp_2EL2V,type,
% 5.64/5.88 c_2Efcp_2EL2V: del > del > $i ).
% 5.64/5.88
% 5.64/5.88 thf(mem_c_2Efcp_2EL2V,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Efcp_2EL2V @ A_27a @ A_27b ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Efcp_2Ecart @ A_27a @ A_27b ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(tp_c_2Efcp_2EV2L,type,
% 5.64/5.88 c_2Efcp_2EV2L: del > del > $i ).
% 5.64/5.88
% 5.64/5.88 thf(mem_c_2Efcp_2EV2L,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Efcp_2EV2L @ A_27a @ A_27b ) @ ( arr @ ( ty_2Efcp_2Ecart @ A_27a @ A_27b ) @ ( ty_2Elist_2Elist @ A_27a ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(tp_c_2Efcp_2Ebit0__CASE,type,
% 5.64/5.88 c_2Efcp_2Ebit0__CASE: del > del > $i ).
% 5.64/5.88
% 5.64/5.88 thf(mem_c_2Efcp_2Ebit0__CASE,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Efcp_2Ebit0__CASE @ A_27a @ A_27b ) @ ( arr @ ( ty_2Efcp_2Ebit0 @ A_27a ) @ ( arr @ ( arr @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ A_27b ) @ A_27b ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(tp_c_2Efcp_2Ebit0__size,type,
% 5.64/5.88 c_2Efcp_2Ebit0__size: del > $i ).
% 5.64/5.88
% 5.64/5.88 thf(mem_c_2Efcp_2Ebit0__size,axiom,
% 5.64/5.88 ! [A_27a: del] : ( mem @ ( c_2Efcp_2Ebit0__size @ A_27a ) @ ( arr @ ( arr @ A_27a @ ty_2Enum_2Enum ) @ ( arr @ ( ty_2Efcp_2Ebit0 @ A_27a ) @ ty_2Enum_2Enum ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(tp_c_2Efcp_2Ebit1__CASE,type,
% 5.64/5.88 c_2Efcp_2Ebit1__CASE: del > del > $i ).
% 5.64/5.88
% 5.64/5.88 thf(mem_c_2Efcp_2Ebit1__CASE,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Efcp_2Ebit1__CASE @ A_27a @ A_27b ) @ ( arr @ ( ty_2Efcp_2Ebit1 @ A_27a ) @ ( arr @ ( arr @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ A_27b ) @ ( arr @ A_27b @ A_27b ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(tp_c_2Efcp_2Ebit1__size,type,
% 5.64/5.88 c_2Efcp_2Ebit1__size: del > $i ).
% 5.64/5.88
% 5.64/5.88 thf(mem_c_2Efcp_2Ebit1__size,axiom,
% 5.64/5.88 ! [A_27a: del] : ( mem @ ( c_2Efcp_2Ebit1__size @ A_27a ) @ ( arr @ ( arr @ A_27a @ ty_2Enum_2Enum ) @ ( arr @ ( ty_2Efcp_2Ebit1 @ A_27a ) @ ty_2Enum_2Enum ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(tp_c_2Efcp_2Edest__cart,type,
% 5.64/5.88 c_2Efcp_2Edest__cart: del > del > $i ).
% 5.64/5.88
% 5.64/5.88 thf(mem_c_2Efcp_2Edest__cart,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Efcp_2Edest__cart @ A_27a @ A_27b ) @ ( arr @ ( ty_2Efcp_2Ecart @ A_27a @ A_27b ) @ ( arr @ ( ty_2Efcp_2Efinite__image @ A_27b ) @ A_27a ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(tp_c_2Efcp_2Edest__finite__image,type,
% 5.64/5.88 c_2Efcp_2Edest__finite__image: del > $i ).
% 5.64/5.88
% 5.64/5.88 thf(mem_c_2Efcp_2Edest__finite__image,axiom,
% 5.64/5.88 ! [A_27a: del] : ( mem @ ( c_2Efcp_2Edest__finite__image @ A_27a ) @ ( arr @ ( ty_2Efcp_2Efinite__image @ A_27a ) @ A_27a ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(tp_c_2Efcp_2Edimindex,type,
% 5.64/5.88 c_2Efcp_2Edimindex: del > $i ).
% 5.64/5.88
% 5.64/5.88 thf(mem_c_2Efcp_2Edimindex,axiom,
% 5.64/5.88 ! [A_27a: del] : ( mem @ ( c_2Efcp_2Edimindex @ A_27a ) @ ( arr @ ( ty_2Ebool_2Eitself @ A_27a ) @ ty_2Enum_2Enum ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(tp_c_2Efcp_2Efcp__CASE,type,
% 5.64/5.88 c_2Efcp_2Efcp__CASE: del > del > del > $i ).
% 5.64/5.88
% 5.64/5.88 thf(mem_c_2Efcp_2Efcp__CASE,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,A_27c: del] : ( mem @ ( c_2Efcp_2Efcp__CASE @ A_27a @ A_27b @ A_27c ) @ ( arr @ ( ty_2Efcp_2Ecart @ A_27a @ A_27b ) @ ( arr @ ( arr @ ( arr @ ( ty_2Efcp_2Efinite__image @ A_27b ) @ A_27a ) @ A_27c ) @ A_27c ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(tp_c_2Efcp_2Efcp__index,type,
% 5.64/5.88 c_2Efcp_2Efcp__index: del > del > $i ).
% 5.64/5.88
% 5.64/5.88 thf(mem_c_2Efcp_2Efcp__index,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Efcp_2Efcp__index @ A_27a @ A_27b ) @ ( arr @ ( ty_2Efcp_2Ecart @ A_27a @ A_27b ) @ ( arr @ ty_2Enum_2Enum @ A_27a ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(tp_c_2Efcp_2Efinite__index,type,
% 5.64/5.88 c_2Efcp_2Efinite__index: del > $i ).
% 5.64/5.88
% 5.64/5.88 thf(mem_c_2Efcp_2Efinite__index,axiom,
% 5.64/5.88 ! [A_27a: del] : ( mem @ ( c_2Efcp_2Efinite__index @ A_27a ) @ ( arr @ ty_2Enum_2Enum @ A_27a ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(tp_c_2Efcp_2Emk__cart,type,
% 5.64/5.88 c_2Efcp_2Emk__cart: del > del > $i ).
% 5.64/5.88
% 5.64/5.88 thf(mem_c_2Efcp_2Emk__cart,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Efcp_2Emk__cart @ A_27a @ A_27b ) @ ( arr @ ( arr @ ( ty_2Efcp_2Efinite__image @ A_27b ) @ A_27a ) @ ( ty_2Efcp_2Ecart @ A_27a @ A_27b ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(tp_c_2Efcp_2Emk__finite__image,type,
% 5.64/5.88 c_2Efcp_2Emk__finite__image: del > $i ).
% 5.64/5.88
% 5.64/5.88 thf(mem_c_2Efcp_2Emk__finite__image,axiom,
% 5.64/5.88 ! [A_27a: del] : ( mem @ ( c_2Efcp_2Emk__finite__image @ A_27a ) @ ( arr @ A_27a @ ( ty_2Efcp_2Efinite__image @ A_27a ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(ax_thm_2Efcp_2EHAS__SIZE__def,axiom,
% 5.64/5.88 ! [A_27a: del,V0s: $i] :
% 5.64/5.88 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.64/5.88 => ! [V1n: tp__ty_2Enum_2Enum] :
% 5.64/5.88 ( ( p @ ( ap @ ( ap @ ( c_2Efcp_2EHAS__SIZE @ A_27a ) @ V0s ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.64/5.88 <=> ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.64/5.88 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ V0s ) )
% 5.64/5.88 = V1n ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(ax_thm_2Efcp_2Efinite__image__TY__DEF,axiom,
% 5.64/5.88 ! [A_27a: del] :
% 5.64/5.88 ? [V0rep: $i] :
% 5.64/5.88 ( ( mem @ V0rep @ ( arr @ ( ty_2Efcp_2Efinite__image @ A_27a ) @ A_27a ) )
% 5.64/5.88 & ( p
% 5.64/5.88 @ ( ap
% 5.64/5.88 @ ( ap @ ( c_2Ebool_2ETYPE__DEFINITION @ A_27a @ ( ty_2Efcp_2Efinite__image @ A_27a ) )
% 5.64/5.88 @ ( lam @ A_27a
% 5.64/5.88 @ ^ [V1x: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V1x ) @ ( c_2Ebool_2EARB @ A_27a ) ) ) @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ ( c_2Epred__set_2EUNIV @ A_27a ) ) ) ) )
% 5.64/5.88 @ V0rep ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(ax_thm_2Efcp_2Efinite__image__tybij,axiom,
% 5.64/5.88 ! [A_27a: del] :
% 5.64/5.88 ( ! [V0a: $i] :
% 5.64/5.88 ( ( mem @ V0a @ ( ty_2Efcp_2Efinite__image @ A_27a ) )
% 5.64/5.88 => ( ( ap @ ( c_2Efcp_2Emk__finite__image @ A_27a ) @ ( ap @ ( c_2Efcp_2Edest__finite__image @ A_27a ) @ V0a ) )
% 5.64/5.88 = V0a ) )
% 5.64/5.88 & ! [V1r: $i] :
% 5.64/5.88 ( ( mem @ V1r @ A_27a )
% 5.64/5.88 => ( ( p
% 5.64/5.88 @ ( ap
% 5.64/5.88 @ ( lam @ A_27a
% 5.64/5.88 @ ^ [V2x: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V2x ) @ ( c_2Ebool_2EARB @ A_27a ) ) ) @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ ( c_2Epred__set_2EUNIV @ A_27a ) ) ) )
% 5.64/5.88 @ V1r ) )
% 5.64/5.88 <=> ( ( ap @ ( c_2Efcp_2Edest__finite__image @ A_27a ) @ ( ap @ ( c_2Efcp_2Emk__finite__image @ A_27a ) @ V1r ) )
% 5.64/5.88 = V1r ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(ax_thm_2Efcp_2Edimindex__def,axiom,
% 5.64/5.88 ! [A_27a: del] :
% 5.64/5.88 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Efcp_2Edimindex @ A_27a ) @ ( c_2Ebool_2Ethe__value @ A_27a ) ) )
% 5.64/5.88 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ ( c_2Epred__set_2EUNIV @ A_27a ) ) ) @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ ( c_2Epred__set_2EUNIV @ A_27a ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Efcp_2ENOT__FINITE__IMP__dimindex__1,axiom,
% 5.64/5.88 ! [A_27a: del] :
% 5.64/5.88 ( ~ ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ ( c_2Epred__set_2EUNIV @ A_27a ) ) )
% 5.64/5.88 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Efcp_2Edimindex @ A_27a ) @ ( c_2Ebool_2Ethe__value @ A_27a ) ) )
% 5.64/5.88 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Efcp_2EDIMINDEX__GE__1,axiom,
% 5.64/5.88 ! [A_27a: del] : ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( c_2Efcp_2Edimindex @ A_27a ) @ ( c_2Ebool_2Ethe__value @ A_27a ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(ax_thm_2Efcp_2Efinite__index__def,axiom,
% 5.64/5.88 ! [A_27a: del] :
% 5.64/5.88 ( ( c_2Efcp_2Efinite__index @ A_27a )
% 5.64/5.88 = ( ap @ ( c_2Emin_2E_40 @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.64/5.88 @ ( lam @ ( arr @ ty_2Enum_2Enum @ A_27a )
% 5.64/5.88 @ ^ [V0f: $i] :
% 5.64/5.88 ( ap @ ( c_2Ebool_2E_21 @ A_27a )
% 5.64/5.88 @ ( lam @ A_27a
% 5.64/5.88 @ ^ [V1x: $i] :
% 5.64/5.88 ( ap @ ( c_2Ebool_2E_3F_21 @ ty_2Enum_2Enum )
% 5.64/5.88 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.88 @ ^ [V2n: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ V2n ) @ ( ap @ ( c_2Efcp_2Edimindex @ A_27a ) @ ( c_2Ebool_2Ethe__value @ A_27a ) ) ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ ( ap @ V0f @ V2n ) ) @ V1x ) ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(ax_thm_2Efcp_2Ecart__TY__DEF,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del] :
% 5.64/5.88 ? [V0rep: $i] :
% 5.64/5.88 ( ( mem @ V0rep @ ( arr @ ( ty_2Efcp_2Ecart @ A_27a @ A_27b ) @ ( arr @ ( ty_2Efcp_2Efinite__image @ A_27b ) @ A_27a ) ) )
% 5.64/5.88 & ( p
% 5.64/5.88 @ ( ap
% 5.64/5.88 @ ( ap @ ( c_2Ebool_2ETYPE__DEFINITION @ ( arr @ ( ty_2Efcp_2Efinite__image @ A_27b ) @ A_27a ) @ ( ty_2Efcp_2Ecart @ A_27a @ A_27b ) )
% 5.64/5.88 @ ( lam @ ( arr @ ( ty_2Efcp_2Efinite__image @ A_27b ) @ A_27a )
% 5.64/5.88 @ ^ [V1f: $i] : c_2Ebool_2ET ) )
% 5.64/5.88 @ V0rep ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(ax_thm_2Efcp_2Ecart__tybij,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del] :
% 5.64/5.88 ( ! [V0a: $i] :
% 5.64/5.88 ( ( mem @ V0a @ ( ty_2Efcp_2Ecart @ A_27a @ A_27b ) )
% 5.64/5.88 => ( ( ap @ ( c_2Efcp_2Emk__cart @ A_27a @ A_27b ) @ ( ap @ ( c_2Efcp_2Edest__cart @ A_27a @ A_27b ) @ V0a ) )
% 5.64/5.88 = V0a ) )
% 5.64/5.88 & ! [V1r: $i] :
% 5.64/5.88 ( ( mem @ V1r @ ( arr @ ( ty_2Efcp_2Efinite__image @ A_27b ) @ A_27a ) )
% 5.64/5.88 => ( ( p
% 5.64/5.88 @ ( ap
% 5.64/5.88 @ ( lam @ ( arr @ ( ty_2Efcp_2Efinite__image @ A_27b ) @ A_27a )
% 5.64/5.88 @ ^ [V2f: $i] : c_2Ebool_2ET )
% 5.64/5.88 @ V1r ) )
% 5.64/5.88 <=> ( ( ap @ ( c_2Efcp_2Edest__cart @ A_27a @ A_27b ) @ ( ap @ ( c_2Efcp_2Emk__cart @ A_27a @ A_27b ) @ V1r ) )
% 5.64/5.88 = V1r ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(ax_thm_2Efcp_2Efcp__index,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,V0x: $i] :
% 5.64/5.88 ( ( mem @ V0x @ ( ty_2Efcp_2Ecart @ A_27a @ A_27b ) )
% 5.64/5.88 => ! [V1i: tp__ty_2Enum_2Enum] :
% 5.64/5.88 ( ( ap @ ( ap @ ( c_2Efcp_2Efcp__index @ A_27a @ A_27b ) @ V0x ) @ ( inj__ty_2Enum_2Enum @ V1i ) )
% 5.64/5.88 = ( ap @ ( ap @ ( c_2Efcp_2Edest__cart @ A_27a @ A_27b ) @ V0x ) @ ( ap @ ( c_2Efcp_2Efinite__index @ ( ty_2Efcp_2Efinite__image @ A_27b ) ) @ ( inj__ty_2Enum_2Enum @ V1i ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Efcp_2Efcp__Axiom,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.64/5.88 ( ( mem @ V0f @ ( arr @ ( arr @ ( ty_2Efcp_2Efinite__image @ A_27b ) @ A_27a ) @ A_27c ) )
% 5.64/5.88 => ? [V1g: $i] :
% 5.64/5.88 ( ( mem @ V1g @ ( arr @ ( ty_2Efcp_2Ecart @ A_27a @ A_27b ) @ A_27c ) )
% 5.64/5.88 & ! [V2h: $i] :
% 5.64/5.88 ( ( mem @ V2h @ ( arr @ ( ty_2Efcp_2Efinite__image @ A_27b ) @ A_27a ) )
% 5.64/5.88 => ( ( ap @ V1g @ ( ap @ ( c_2Efcp_2Emk__cart @ A_27a @ A_27b ) @ V2h ) )
% 5.64/5.88 = ( ap @ V0f @ V2h ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Efcp_2Efcp__ind,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.64/5.88 ( ( mem @ V0P @ ( arr @ ( ty_2Efcp_2Ecart @ A_27a @ A_27b ) @ bool ) )
% 5.64/5.88 => ( ! [V1f: $i] :
% 5.64/5.88 ( ( mem @ V1f @ ( arr @ ( ty_2Efcp_2Efinite__image @ A_27b ) @ A_27a ) )
% 5.64/5.88 => ( p @ ( ap @ V0P @ ( ap @ ( c_2Efcp_2Emk__cart @ A_27a @ A_27b ) @ V1f ) ) ) )
% 5.64/5.88 => ! [V2a: $i] :
% 5.64/5.88 ( ( mem @ V2a @ ( ty_2Efcp_2Ecart @ A_27a @ A_27b ) )
% 5.64/5.88 => ( p @ ( ap @ V0P @ V2a ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(ax_thm_2Efcp_2Efcp__case__def,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,A_27c: del,V0h: $i] :
% 5.64/5.88 ( ( mem @ V0h @ ( arr @ ( ty_2Efcp_2Efinite__image @ A_27b ) @ A_27a ) )
% 5.64/5.88 => ! [V1f: $i] :
% 5.64/5.88 ( ( mem @ V1f @ ( arr @ ( arr @ ( ty_2Efcp_2Efinite__image @ A_27b ) @ A_27a ) @ A_27c ) )
% 5.64/5.88 => ( ( ap @ ( ap @ ( c_2Efcp_2Efcp__CASE @ A_27a @ A_27b @ A_27c ) @ ( ap @ ( c_2Efcp_2Emk__cart @ A_27a @ A_27b ) @ V0h ) ) @ V1f )
% 5.64/5.88 = ( ap @ V1f @ V0h ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Efcp_2ECART__EQ,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,V0x: $i] :
% 5.64/5.88 ( ( mem @ V0x @ ( ty_2Efcp_2Ecart @ A_27a @ A_27b ) )
% 5.64/5.88 => ! [V1y: $i] :
% 5.64/5.88 ( ( mem @ V1y @ ( ty_2Efcp_2Ecart @ A_27a @ A_27b ) )
% 5.64/5.88 => ( ( V0x = V1y )
% 5.64/5.88 <=> ! [V2i: tp__ty_2Enum_2Enum] :
% 5.64/5.88 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V2i ) ) @ ( ap @ ( c_2Efcp_2Edimindex @ A_27b ) @ ( c_2Ebool_2Ethe__value @ A_27b ) ) ) )
% 5.64/5.88 => ( ( ap @ ( ap @ ( c_2Efcp_2Efcp__index @ A_27a @ A_27b ) @ V0x ) @ ( inj__ty_2Enum_2Enum @ V2i ) )
% 5.64/5.88 = ( ap @ ( ap @ ( c_2Efcp_2Efcp__index @ A_27a @ A_27b ) @ V1y ) @ ( inj__ty_2Enum_2Enum @ V2i ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(ax_thm_2Efcp_2EFCP,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del] :
% 5.64/5.88 ( ( c_2Efcp_2EFCP @ A_27a @ A_27b )
% 5.64/5.88 = ( lam @ ( arr @ ty_2Enum_2Enum @ A_27a )
% 5.64/5.88 @ ^ [V0g: $i] :
% 5.64/5.88 ( ap @ ( c_2Emin_2E_40 @ ( ty_2Efcp_2Ecart @ A_27a @ A_27b ) )
% 5.64/5.88 @ ( lam @ ( ty_2Efcp_2Ecart @ A_27a @ A_27b )
% 5.64/5.88 @ ^ [V1f: $i] :
% 5.64/5.88 ( ap @ ( c_2Ebool_2E_21 @ ty_2Enum_2Enum )
% 5.64/5.88 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.88 @ ^ [V2i: $i] : ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ V2i ) @ ( ap @ ( c_2Efcp_2Edimindex @ A_27b ) @ ( c_2Ebool_2Ethe__value @ A_27b ) ) ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ ( ap @ ( ap @ ( c_2Efcp_2Efcp__index @ A_27a @ A_27b ) @ V1f ) @ V2i ) ) @ ( ap @ V0g @ V2i ) ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Efcp_2EFCP__BETA,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,V0g: $i] :
% 5.64/5.88 ( ( mem @ V0g @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.64/5.88 => ! [V1i: tp__ty_2Enum_2Enum] :
% 5.64/5.88 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1i ) ) @ ( ap @ ( c_2Efcp_2Edimindex @ A_27b ) @ ( c_2Ebool_2Ethe__value @ A_27b ) ) ) )
% 5.64/5.88 => ( ( ap @ ( ap @ ( c_2Efcp_2Efcp__index @ A_27a @ A_27b ) @ ( ap @ ( c_2Efcp_2EFCP @ A_27a @ A_27b ) @ V0g ) ) @ ( inj__ty_2Enum_2Enum @ V1i ) )
% 5.64/5.88 = ( ap @ V0g @ ( inj__ty_2Enum_2Enum @ V1i ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Efcp_2EFCP__UNIQUE,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.64/5.88 ( ( mem @ V0f @ ( ty_2Efcp_2Ecart @ A_27a @ A_27b ) )
% 5.64/5.88 => ! [V1g: $i] :
% 5.64/5.88 ( ( mem @ V1g @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.64/5.88 => ( ! [V2i: tp__ty_2Enum_2Enum] :
% 5.64/5.88 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V2i ) ) @ ( ap @ ( c_2Efcp_2Edimindex @ A_27b ) @ ( c_2Ebool_2Ethe__value @ A_27b ) ) ) )
% 5.64/5.88 => ( ( ap @ ( ap @ ( c_2Efcp_2Efcp__index @ A_27a @ A_27b ) @ V0f ) @ ( inj__ty_2Enum_2Enum @ V2i ) )
% 5.64/5.88 = ( ap @ V1g @ ( inj__ty_2Enum_2Enum @ V2i ) ) ) )
% 5.64/5.88 <=> ( ( ap @ ( c_2Efcp_2EFCP @ A_27a @ A_27b ) @ V1g )
% 5.64/5.88 = V0f ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Efcp_2EFCP__ETA,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,V0g: $i] :
% 5.64/5.88 ( ( mem @ V0g @ ( ty_2Efcp_2Ecart @ A_27a @ A_27b ) )
% 5.64/5.88 => ( ( ap @ ( c_2Efcp_2EFCP @ A_27a @ A_27b )
% 5.64/5.88 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.88 @ ^ [V1i: $i] : ( ap @ ( ap @ ( c_2Efcp_2Efcp__index @ A_27a @ A_27b ) @ V0g ) @ V1i ) ) )
% 5.64/5.88 = V0g ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Efcp_2Ecard__dimindex,axiom,
% 5.64/5.88 ! [A_27a: del] :
% 5.64/5.88 ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ ( c_2Epred__set_2EUNIV @ A_27a ) ) )
% 5.64/5.88 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ ( c_2Epred__set_2EUNIV @ A_27a ) ) )
% 5.64/5.88 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Efcp_2Edimindex @ A_27a ) @ ( c_2Ebool_2Ethe__value @ A_27a ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Efcp_2Eindex__sum,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del] :
% 5.64/5.88 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Efcp_2Edimindex @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) ) ) )
% 5.64/5.88 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ ( c_2Epred__set_2EUNIV @ A_27a ) ) ) @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27b ) @ ( c_2Epred__set_2EUNIV @ A_27b ) ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( c_2Efcp_2Edimindex @ A_27a ) @ ( c_2Ebool_2Ethe__value @ A_27a ) ) ) @ ( ap @ ( c_2Efcp_2Edimindex @ A_27b ) @ ( c_2Ebool_2Ethe__value @ A_27b ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Efcp_2Efinite__sum,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del] :
% 5.64/5.88 ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) ) @ ( c_2Epred__set_2EUNIV @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) ) ) )
% 5.64/5.88 <=> ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ ( c_2Epred__set_2EUNIV @ A_27a ) ) )
% 5.64/5.88 & ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27b ) @ ( c_2Epred__set_2EUNIV @ A_27b ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(ax_thm_2Efcp_2Ebit0__TY__DEF,axiom,
% 5.64/5.88 ! [A_27a: del] :
% 5.64/5.88 ? [V0rep: $i] :
% 5.64/5.88 ( ( mem @ V0rep @ ( arr @ ( ty_2Efcp_2Ebit0 @ A_27a ) @ ( ty_2Eind__type_2Erecspace @ A_27a ) ) )
% 5.64/5.88 & ( p
% 5.64/5.88 @ ( ap
% 5.64/5.88 @ ( ap @ ( c_2Ebool_2ETYPE__DEFINITION @ ( ty_2Eind__type_2Erecspace @ A_27a ) @ ( ty_2Efcp_2Ebit0 @ A_27a ) )
% 5.64/5.88 @ ( lam @ ( ty_2Eind__type_2Erecspace @ A_27a )
% 5.64/5.88 @ ^ [V1a0: $i] :
% 5.64/5.88 ( ap @ ( c_2Ebool_2E_21 @ ( arr @ ( ty_2Eind__type_2Erecspace @ A_27a ) @ bool ) )
% 5.64/5.88 @ ( lam @ ( arr @ ( ty_2Eind__type_2Erecspace @ A_27a ) @ bool )
% 5.64/5.88 @ ^ [V2_27bit0_27: $i] :
% 5.64/5.88 ( ap
% 5.64/5.88 @ ( ap @ c_2Emin_2E_3D_3D_3E
% 5.64/5.88 @ ( ap @ ( c_2Ebool_2E_21 @ ( ty_2Eind__type_2Erecspace @ A_27a ) )
% 5.64/5.88 @ ( lam @ ( ty_2Eind__type_2Erecspace @ A_27a )
% 5.64/5.88 @ ^ [V3a0: $i] :
% 5.64/5.88 ( ap
% 5.64/5.88 @ ( ap @ c_2Emin_2E_3D_3D_3E
% 5.64/5.88 @ ( ap
% 5.64/5.88 @ ( ap @ c_2Ebool_2E_5C_2F
% 5.64/5.88 @ ( ap @ ( c_2Ebool_2E_3F @ A_27a )
% 5.64/5.88 @ ( lam @ A_27a
% 5.64/5.88 @ ^ [V4a: $i] :
% 5.64/5.88 ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Eind__type_2Erecspace @ A_27a ) ) @ V3a0 )
% 5.64/5.88 @ ( ap
% 5.64/5.88 @ ( lam @ A_27a
% 5.64/5.88 @ ^ [V5a: $i] :
% 5.64/5.88 ( ap @ ( ap @ ( ap @ ( c_2Eind__type_2ECONSTR @ A_27a ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ V5a )
% 5.64/5.88 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.88 @ ^ [V6n: $i] : ( c_2Eind__type_2EBOTTOM @ A_27a ) ) ) )
% 5.64/5.88 @ V4a ) ) ) ) )
% 5.64/5.88 @ ( ap @ ( c_2Ebool_2E_3F @ A_27a )
% 5.64/5.88 @ ( lam @ A_27a
% 5.64/5.88 @ ^ [V7a: $i] :
% 5.64/5.88 ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Eind__type_2Erecspace @ A_27a ) ) @ V3a0 )
% 5.64/5.88 @ ( ap
% 5.64/5.88 @ ( lam @ A_27a
% 5.64/5.88 @ ^ [V8a: $i] :
% 5.64/5.88 ( ap @ ( ap @ ( ap @ ( c_2Eind__type_2ECONSTR @ A_27a ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) @ V8a )
% 5.64/5.88 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.88 @ ^ [V9n: $i] : ( c_2Eind__type_2EBOTTOM @ A_27a ) ) ) )
% 5.64/5.88 @ V7a ) ) ) ) ) )
% 5.64/5.88 @ ( ap @ V2_27bit0_27 @ V3a0 ) ) ) ) )
% 5.64/5.88 @ ( ap @ V2_27bit0_27 @ V1a0 ) ) ) ) ) )
% 5.64/5.88 @ V0rep ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(ax_thm_2Efcp_2Ebit0__case__def,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del] :
% 5.64/5.88 ( ! [V0a: $i] :
% 5.64/5.88 ( ( mem @ V0a @ A_27a )
% 5.64/5.88 => ! [V1f: $i] :
% 5.64/5.88 ( ( mem @ V1f @ ( arr @ A_27a @ A_27b ) )
% 5.64/5.88 => ! [V2f1: $i] :
% 5.64/5.88 ( ( mem @ V2f1 @ ( arr @ A_27a @ A_27b ) )
% 5.64/5.88 => ( ( ap @ ( ap @ ( ap @ ( c_2Efcp_2Ebit0__CASE @ A_27a @ A_27b ) @ ( ap @ ( c_2Efcp_2EBIT0A @ A_27a ) @ V0a ) ) @ V1f ) @ V2f1 )
% 5.64/5.88 = ( ap @ V1f @ V0a ) ) ) ) )
% 5.64/5.88 & ! [V3a: $i] :
% 5.64/5.88 ( ( mem @ V3a @ A_27a )
% 5.64/5.88 => ! [V4f: $i] :
% 5.64/5.88 ( ( mem @ V4f @ ( arr @ A_27a @ A_27b ) )
% 5.64/5.88 => ! [V5f1: $i] :
% 5.64/5.88 ( ( mem @ V5f1 @ ( arr @ A_27a @ A_27b ) )
% 5.64/5.88 => ( ( ap @ ( ap @ ( ap @ ( c_2Efcp_2Ebit0__CASE @ A_27a @ A_27b ) @ ( ap @ ( c_2Efcp_2EBIT0B @ A_27a ) @ V3a ) ) @ V4f ) @ V5f1 )
% 5.64/5.88 = ( ap @ V5f1 @ V3a ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(ax_thm_2Efcp_2Ebit0__size__def,axiom,
% 5.64/5.88 ! [A_27a: del] :
% 5.64/5.88 ( ! [V0f: $i] :
% 5.64/5.88 ( ( mem @ V0f @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.88 => ! [V1a: $i] :
% 5.64/5.88 ( ( mem @ V1a @ A_27a )
% 5.64/5.88 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( c_2Efcp_2Ebit0__size @ A_27a ) @ V0f ) @ ( ap @ ( c_2Efcp_2EBIT0A @ A_27a ) @ V1a ) ) )
% 5.64/5.88 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ V0f @ V1a ) ) ) ) ) )
% 5.64/5.88 & ! [V2f: $i] :
% 5.64/5.88 ( ( mem @ V2f @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.88 => ! [V3a: $i] :
% 5.64/5.88 ( ( mem @ V3a @ A_27a )
% 5.64/5.88 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( c_2Efcp_2Ebit0__size @ A_27a ) @ V2f ) @ ( ap @ ( c_2Efcp_2EBIT0B @ A_27a ) @ V3a ) ) )
% 5.64/5.88 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ V2f @ V3a ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Efcp_2Edatatype__bit0,axiom,
% 5.64/5.88 ! [A_27a: del,V0bit0: $i] :
% 5.64/5.88 ( ( mem @ V0bit0 @ ( arr @ ( arr @ A_27a @ ( ty_2Efcp_2Ebit0 @ A_27a ) ) @ ( arr @ ( arr @ A_27a @ ( ty_2Efcp_2Ebit0 @ A_27a ) ) @ bool ) ) )
% 5.64/5.88 => ( p @ ( ap @ ( c_2Ebool_2EDATATYPE @ bool ) @ ( ap @ ( ap @ V0bit0 @ ( c_2Efcp_2EBIT0A @ A_27a ) ) @ ( c_2Efcp_2EBIT0B @ A_27a ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Efcp_2Ebit0__11,axiom,
% 5.64/5.88 ! [A_27a: del] :
% 5.64/5.88 ( ! [V0a: $i] :
% 5.64/5.88 ( ( mem @ V0a @ A_27a )
% 5.64/5.88 => ! [V1a_27: $i] :
% 5.64/5.88 ( ( mem @ V1a_27 @ A_27a )
% 5.64/5.88 => ( ( ( ap @ ( c_2Efcp_2EBIT0A @ A_27a ) @ V0a )
% 5.64/5.88 = ( ap @ ( c_2Efcp_2EBIT0A @ A_27a ) @ V1a_27 ) )
% 5.64/5.88 <=> ( V0a = V1a_27 ) ) ) )
% 5.64/5.88 & ! [V2a: $i] :
% 5.64/5.88 ( ( mem @ V2a @ A_27a )
% 5.64/5.88 => ! [V3a_27: $i] :
% 5.64/5.88 ( ( mem @ V3a_27 @ A_27a )
% 5.64/5.88 => ( ( ( ap @ ( c_2Efcp_2EBIT0B @ A_27a ) @ V2a )
% 5.64/5.88 = ( ap @ ( c_2Efcp_2EBIT0B @ A_27a ) @ V3a_27 ) )
% 5.64/5.88 <=> ( V2a = V3a_27 ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Efcp_2Ebit0__distinct,axiom,
% 5.64/5.88 ! [A_27a: del,V0a_27: $i] :
% 5.64/5.88 ( ( mem @ V0a_27 @ A_27a )
% 5.64/5.88 => ! [V1a: $i] :
% 5.64/5.88 ( ( mem @ V1a @ A_27a )
% 5.64/5.88 => ( ( ap @ ( c_2Efcp_2EBIT0A @ A_27a ) @ V1a )
% 5.64/5.88 != ( ap @ ( c_2Efcp_2EBIT0B @ A_27a ) @ V0a_27 ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Efcp_2Ebit0__nchotomy,axiom,
% 5.64/5.88 ! [A_27a: del,V0bb: $i] :
% 5.64/5.88 ( ( mem @ V0bb @ ( ty_2Efcp_2Ebit0 @ A_27a ) )
% 5.64/5.88 => ( ? [V1a: $i] :
% 5.64/5.88 ( ( mem @ V1a @ A_27a )
% 5.64/5.88 & ( V0bb
% 5.64/5.88 = ( ap @ ( c_2Efcp_2EBIT0A @ A_27a ) @ V1a ) ) )
% 5.64/5.88 | ? [V2a: $i] :
% 5.64/5.88 ( ( mem @ V2a @ A_27a )
% 5.64/5.88 & ( V0bb
% 5.64/5.88 = ( ap @ ( c_2Efcp_2EBIT0B @ A_27a ) @ V2a ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Efcp_2Ebit0__Axiom,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,V0f0: $i] :
% 5.64/5.88 ( ( mem @ V0f0 @ ( arr @ A_27a @ A_27b ) )
% 5.64/5.88 => ! [V1f1: $i] :
% 5.64/5.88 ( ( mem @ V1f1 @ ( arr @ A_27a @ A_27b ) )
% 5.64/5.88 => ? [V2fn: $i] :
% 5.64/5.88 ( ( mem @ V2fn @ ( arr @ ( ty_2Efcp_2Ebit0 @ A_27a ) @ A_27b ) )
% 5.64/5.88 & ! [V3a: $i] :
% 5.64/5.88 ( ( mem @ V3a @ A_27a )
% 5.64/5.88 => ( ( ap @ V2fn @ ( ap @ ( c_2Efcp_2EBIT0A @ A_27a ) @ V3a ) )
% 5.64/5.88 = ( ap @ V0f0 @ V3a ) ) )
% 5.64/5.88 & ! [V4a: $i] :
% 5.64/5.88 ( ( mem @ V4a @ A_27a )
% 5.64/5.88 => ( ( ap @ V2fn @ ( ap @ ( c_2Efcp_2EBIT0B @ A_27a ) @ V4a ) )
% 5.64/5.88 = ( ap @ V1f1 @ V4a ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Efcp_2Ebit0__induction,axiom,
% 5.64/5.88 ! [A_27a: del,V0P: $i] :
% 5.64/5.88 ( ( mem @ V0P @ ( arr @ ( ty_2Efcp_2Ebit0 @ A_27a ) @ bool ) )
% 5.64/5.88 => ( ( ! [V1a: $i] :
% 5.64/5.88 ( ( mem @ V1a @ A_27a )
% 5.64/5.88 => ( p @ ( ap @ V0P @ ( ap @ ( c_2Efcp_2EBIT0A @ A_27a ) @ V1a ) ) ) )
% 5.64/5.88 & ! [V2a: $i] :
% 5.64/5.88 ( ( mem @ V2a @ A_27a )
% 5.64/5.88 => ( p @ ( ap @ V0P @ ( ap @ ( c_2Efcp_2EBIT0B @ A_27a ) @ V2a ) ) ) ) )
% 5.64/5.88 => ! [V3b: $i] :
% 5.64/5.88 ( ( mem @ V3b @ ( ty_2Efcp_2Ebit0 @ A_27a ) )
% 5.64/5.88 => ( p @ ( ap @ V0P @ V3b ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Efcp_2Ebit0__case__cong,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,V0f_27: $i] :
% 5.64/5.88 ( ( mem @ V0f_27 @ ( arr @ A_27a @ A_27b ) )
% 5.64/5.88 => ! [V1f1_27: $i] :
% 5.64/5.88 ( ( mem @ V1f1_27 @ ( arr @ A_27a @ A_27b ) )
% 5.64/5.88 => ! [V2M: $i] :
% 5.64/5.88 ( ( mem @ V2M @ ( ty_2Efcp_2Ebit0 @ A_27a ) )
% 5.64/5.88 => ! [V3M_27: $i] :
% 5.64/5.88 ( ( mem @ V3M_27 @ ( ty_2Efcp_2Ebit0 @ A_27a ) )
% 5.64/5.88 => ! [V4f: $i] :
% 5.64/5.88 ( ( mem @ V4f @ ( arr @ A_27a @ A_27b ) )
% 5.64/5.88 => ! [V5f1: $i] :
% 5.64/5.88 ( ( mem @ V5f1 @ ( arr @ A_27a @ A_27b ) )
% 5.64/5.88 => ( ( ( V2M = V3M_27 )
% 5.64/5.88 & ! [V6a: $i] :
% 5.64/5.88 ( ( mem @ V6a @ A_27a )
% 5.64/5.88 => ( ( V3M_27
% 5.64/5.88 = ( ap @ ( c_2Efcp_2EBIT0A @ A_27a ) @ V6a ) )
% 5.64/5.88 => ( ( ap @ V4f @ V6a )
% 5.64/5.88 = ( ap @ V0f_27 @ V6a ) ) ) )
% 5.64/5.88 & ! [V7a: $i] :
% 5.64/5.88 ( ( mem @ V7a @ A_27a )
% 5.64/5.88 => ( ( V3M_27
% 5.64/5.88 = ( ap @ ( c_2Efcp_2EBIT0B @ A_27a ) @ V7a ) )
% 5.64/5.88 => ( ( ap @ V5f1 @ V7a )
% 5.64/5.88 = ( ap @ V1f1_27 @ V7a ) ) ) ) )
% 5.64/5.88 => ( ( ap @ ( ap @ ( ap @ ( c_2Efcp_2Ebit0__CASE @ A_27a @ A_27b ) @ V2M ) @ V4f ) @ V5f1 )
% 5.64/5.88 = ( ap @ ( ap @ ( ap @ ( c_2Efcp_2Ebit0__CASE @ A_27a @ A_27b ) @ V3M_27 ) @ V0f_27 ) @ V1f1_27 ) ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Efcp_2Ebit0__case__eq,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,V0x: $i] :
% 5.64/5.88 ( ( mem @ V0x @ ( ty_2Efcp_2Ebit0 @ A_27a ) )
% 5.64/5.88 => ! [V1f: $i] :
% 5.64/5.88 ( ( mem @ V1f @ ( arr @ A_27a @ A_27b ) )
% 5.64/5.88 => ! [V2f1: $i] :
% 5.64/5.88 ( ( mem @ V2f1 @ ( arr @ A_27a @ A_27b ) )
% 5.64/5.88 => ! [V3v: $i] :
% 5.64/5.88 ( ( mem @ V3v @ A_27b )
% 5.64/5.88 => ( ( ( ap @ ( ap @ ( ap @ ( c_2Efcp_2Ebit0__CASE @ A_27a @ A_27b ) @ V0x ) @ V1f ) @ V2f1 )
% 5.64/5.88 = V3v )
% 5.64/5.88 <=> ( ? [V4a: $i] :
% 5.64/5.88 ( ( mem @ V4a @ A_27a )
% 5.64/5.88 & ( V0x
% 5.64/5.88 = ( ap @ ( c_2Efcp_2EBIT0A @ A_27a ) @ V4a ) )
% 5.64/5.88 & ( ( ap @ V1f @ V4a )
% 5.64/5.88 = V3v ) )
% 5.64/5.88 | ? [V5a: $i] :
% 5.64/5.88 ( ( mem @ V5a @ A_27a )
% 5.64/5.88 & ( V0x
% 5.64/5.88 = ( ap @ ( c_2Efcp_2EBIT0B @ A_27a ) @ V5a ) )
% 5.64/5.88 & ( ( ap @ V2f1 @ V5a )
% 5.64/5.88 = V3v ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Efcp_2Eindex__bit0,axiom,
% 5.64/5.88 ! [A_27a: del] :
% 5.64/5.88 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Efcp_2Edimindex @ ( ty_2Efcp_2Ebit0 @ A_27a ) ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Efcp_2Ebit0 @ A_27a ) ) ) )
% 5.64/5.88 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ ( c_2Epred__set_2EUNIV @ A_27a ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( c_2Efcp_2Edimindex @ A_27a ) @ ( c_2Ebool_2Ethe__value @ A_27a ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Efcp_2Efinite__bit0,axiom,
% 5.64/5.88 ! [A_27a: del] :
% 5.64/5.88 ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ ( ty_2Efcp_2Ebit0 @ A_27a ) ) @ ( c_2Epred__set_2EUNIV @ ( ty_2Efcp_2Ebit0 @ A_27a ) ) ) )
% 5.64/5.88 <=> ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ ( c_2Epred__set_2EUNIV @ A_27a ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(ax_thm_2Efcp_2Ebit1__TY__DEF,axiom,
% 5.64/5.88 ! [A_27a: del] :
% 5.64/5.88 ? [V0rep: $i] :
% 5.64/5.88 ( ( mem @ V0rep @ ( arr @ ( ty_2Efcp_2Ebit1 @ A_27a ) @ ( ty_2Eind__type_2Erecspace @ A_27a ) ) )
% 5.64/5.88 & ( p
% 5.64/5.88 @ ( ap
% 5.64/5.88 @ ( ap @ ( c_2Ebool_2ETYPE__DEFINITION @ ( ty_2Eind__type_2Erecspace @ A_27a ) @ ( ty_2Efcp_2Ebit1 @ A_27a ) )
% 5.64/5.88 @ ( lam @ ( ty_2Eind__type_2Erecspace @ A_27a )
% 5.64/5.88 @ ^ [V1a0: $i] :
% 5.64/5.88 ( ap @ ( c_2Ebool_2E_21 @ ( arr @ ( ty_2Eind__type_2Erecspace @ A_27a ) @ bool ) )
% 5.64/5.88 @ ( lam @ ( arr @ ( ty_2Eind__type_2Erecspace @ A_27a ) @ bool )
% 5.64/5.88 @ ^ [V2_27bit1_27: $i] :
% 5.64/5.88 ( ap
% 5.64/5.88 @ ( ap @ c_2Emin_2E_3D_3D_3E
% 5.64/5.88 @ ( ap @ ( c_2Ebool_2E_21 @ ( ty_2Eind__type_2Erecspace @ A_27a ) )
% 5.64/5.88 @ ( lam @ ( ty_2Eind__type_2Erecspace @ A_27a )
% 5.64/5.88 @ ^ [V3a0: $i] :
% 5.64/5.88 ( ap
% 5.64/5.88 @ ( ap @ c_2Emin_2E_3D_3D_3E
% 5.64/5.88 @ ( ap
% 5.64/5.88 @ ( ap @ c_2Ebool_2E_5C_2F
% 5.64/5.88 @ ( ap @ ( c_2Ebool_2E_3F @ A_27a )
% 5.64/5.88 @ ( lam @ A_27a
% 5.64/5.88 @ ^ [V4a: $i] :
% 5.64/5.88 ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Eind__type_2Erecspace @ A_27a ) ) @ V3a0 )
% 5.64/5.88 @ ( ap
% 5.64/5.88 @ ( lam @ A_27a
% 5.64/5.88 @ ^ [V5a: $i] :
% 5.64/5.88 ( ap @ ( ap @ ( ap @ ( c_2Eind__type_2ECONSTR @ A_27a ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ V5a )
% 5.64/5.88 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.88 @ ^ [V6n: $i] : ( c_2Eind__type_2EBOTTOM @ A_27a ) ) ) )
% 5.64/5.88 @ V4a ) ) ) ) )
% 5.64/5.88 @ ( ap
% 5.64/5.88 @ ( ap @ c_2Ebool_2E_5C_2F
% 5.64/5.88 @ ( ap @ ( c_2Ebool_2E_3F @ A_27a )
% 5.64/5.88 @ ( lam @ A_27a
% 5.64/5.88 @ ^ [V7a: $i] :
% 5.64/5.88 ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Eind__type_2Erecspace @ A_27a ) ) @ V3a0 )
% 5.64/5.88 @ ( ap
% 5.64/5.88 @ ( lam @ A_27a
% 5.64/5.88 @ ^ [V8a: $i] :
% 5.64/5.88 ( ap @ ( ap @ ( ap @ ( c_2Eind__type_2ECONSTR @ A_27a ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) @ V8a )
% 5.64/5.88 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.88 @ ^ [V9n: $i] : ( c_2Eind__type_2EBOTTOM @ A_27a ) ) ) )
% 5.64/5.88 @ V7a ) ) ) ) )
% 5.64/5.88 @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Eind__type_2Erecspace @ A_27a ) ) @ V3a0 )
% 5.64/5.88 @ ( ap @ ( ap @ ( ap @ ( c_2Eind__type_2ECONSTR @ A_27a ) @ ( ap @ c_2Enum_2ESUC @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ) @ ( c_2Ebool_2EARB @ A_27a ) )
% 5.64/5.88 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.88 @ ^ [V10n: $i] : ( c_2Eind__type_2EBOTTOM @ A_27a ) ) ) ) ) ) )
% 5.64/5.88 @ ( ap @ V2_27bit1_27 @ V3a0 ) ) ) ) )
% 5.64/5.88 @ ( ap @ V2_27bit1_27 @ V1a0 ) ) ) ) ) )
% 5.64/5.88 @ V0rep ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(ax_thm_2Efcp_2Ebit1__case__def,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del] :
% 5.64/5.88 ( ! [V0a: $i] :
% 5.64/5.88 ( ( mem @ V0a @ A_27a )
% 5.64/5.88 => ! [V1f: $i] :
% 5.64/5.88 ( ( mem @ V1f @ ( arr @ A_27a @ A_27b ) )
% 5.64/5.88 => ! [V2f1: $i] :
% 5.64/5.88 ( ( mem @ V2f1 @ ( arr @ A_27a @ A_27b ) )
% 5.64/5.88 => ! [V3v: $i] :
% 5.64/5.88 ( ( mem @ V3v @ A_27b )
% 5.64/5.88 => ( ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Efcp_2Ebit1__CASE @ A_27a @ A_27b ) @ ( ap @ ( c_2Efcp_2EBIT1A @ A_27a ) @ V0a ) ) @ V1f ) @ V2f1 ) @ V3v )
% 5.64/5.88 = ( ap @ V1f @ V0a ) ) ) ) ) )
% 5.64/5.88 & ! [V4a: $i] :
% 5.64/5.88 ( ( mem @ V4a @ A_27a )
% 5.64/5.88 => ! [V5f: $i] :
% 5.64/5.88 ( ( mem @ V5f @ ( arr @ A_27a @ A_27b ) )
% 5.64/5.88 => ! [V6f1: $i] :
% 5.64/5.88 ( ( mem @ V6f1 @ ( arr @ A_27a @ A_27b ) )
% 5.64/5.88 => ! [V7v: $i] :
% 5.64/5.88 ( ( mem @ V7v @ A_27b )
% 5.64/5.88 => ( ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Efcp_2Ebit1__CASE @ A_27a @ A_27b ) @ ( ap @ ( c_2Efcp_2EBIT1B @ A_27a ) @ V4a ) ) @ V5f ) @ V6f1 ) @ V7v )
% 5.64/5.88 = ( ap @ V6f1 @ V4a ) ) ) ) ) )
% 5.64/5.88 & ! [V8f: $i] :
% 5.64/5.88 ( ( mem @ V8f @ ( arr @ A_27a @ A_27b ) )
% 5.64/5.88 => ! [V9f1: $i] :
% 5.64/5.88 ( ( mem @ V9f1 @ ( arr @ A_27a @ A_27b ) )
% 5.64/5.88 => ! [V10v: $i] :
% 5.64/5.88 ( ( mem @ V10v @ A_27b )
% 5.64/5.88 => ( ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Efcp_2Ebit1__CASE @ A_27a @ A_27b ) @ ( c_2Efcp_2EBIT1C @ A_27a ) ) @ V8f ) @ V9f1 ) @ V10v )
% 5.64/5.88 = V10v ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(ax_thm_2Efcp_2Ebit1__size__def,axiom,
% 5.64/5.88 ! [A_27a: del] :
% 5.64/5.88 ( ! [V0f: $i] :
% 5.64/5.88 ( ( mem @ V0f @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.88 => ! [V1a: $i] :
% 5.64/5.88 ( ( mem @ V1a @ A_27a )
% 5.64/5.88 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( c_2Efcp_2Ebit1__size @ A_27a ) @ V0f ) @ ( ap @ ( c_2Efcp_2EBIT1A @ A_27a ) @ V1a ) ) )
% 5.64/5.88 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ V0f @ V1a ) ) ) ) ) )
% 5.64/5.88 & ! [V2f: $i] :
% 5.64/5.88 ( ( mem @ V2f @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.88 => ! [V3a: $i] :
% 5.64/5.88 ( ( mem @ V3a @ A_27a )
% 5.64/5.88 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( c_2Efcp_2Ebit1__size @ A_27a ) @ V2f ) @ ( ap @ ( c_2Efcp_2EBIT1B @ A_27a ) @ V3a ) ) )
% 5.64/5.88 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ V2f @ V3a ) ) ) ) ) )
% 5.64/5.88 & ! [V4f: $i] :
% 5.64/5.88 ( ( mem @ V4f @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.64/5.88 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( c_2Efcp_2Ebit1__size @ A_27a ) @ V4f ) @ ( c_2Efcp_2EBIT1C @ A_27a ) ) )
% 5.64/5.88 = fo__c_2Enum_2E0 ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Efcp_2Edatatype__bit1,axiom,
% 5.64/5.88 ! [A_27a: del,V0bit1: $i] :
% 5.64/5.88 ( ( mem @ V0bit1 @ ( arr @ ( arr @ A_27a @ ( ty_2Efcp_2Ebit1 @ A_27a ) ) @ ( arr @ ( arr @ A_27a @ ( ty_2Efcp_2Ebit1 @ A_27a ) ) @ ( arr @ ( ty_2Efcp_2Ebit1 @ A_27a ) @ bool ) ) ) )
% 5.64/5.88 => ( p @ ( ap @ ( c_2Ebool_2EDATATYPE @ bool ) @ ( ap @ ( ap @ ( ap @ V0bit1 @ ( c_2Efcp_2EBIT1A @ A_27a ) ) @ ( c_2Efcp_2EBIT1B @ A_27a ) ) @ ( c_2Efcp_2EBIT1C @ A_27a ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Efcp_2Ebit1__11,axiom,
% 5.64/5.88 ! [A_27a: del] :
% 5.64/5.88 ( ! [V0a: $i] :
% 5.64/5.88 ( ( mem @ V0a @ A_27a )
% 5.64/5.88 => ! [V1a_27: $i] :
% 5.64/5.88 ( ( mem @ V1a_27 @ A_27a )
% 5.64/5.88 => ( ( ( ap @ ( c_2Efcp_2EBIT1A @ A_27a ) @ V0a )
% 5.64/5.88 = ( ap @ ( c_2Efcp_2EBIT1A @ A_27a ) @ V1a_27 ) )
% 5.64/5.88 <=> ( V0a = V1a_27 ) ) ) )
% 5.64/5.88 & ! [V2a: $i] :
% 5.64/5.88 ( ( mem @ V2a @ A_27a )
% 5.64/5.88 => ! [V3a_27: $i] :
% 5.64/5.88 ( ( mem @ V3a_27 @ A_27a )
% 5.64/5.88 => ( ( ( ap @ ( c_2Efcp_2EBIT1B @ A_27a ) @ V2a )
% 5.64/5.88 = ( ap @ ( c_2Efcp_2EBIT1B @ A_27a ) @ V3a_27 ) )
% 5.64/5.88 <=> ( V2a = V3a_27 ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Efcp_2Ebit1__distinct,axiom,
% 5.64/5.88 ! [A_27a: del] :
% 5.64/5.88 ( ! [V0a_27: $i] :
% 5.64/5.88 ( ( mem @ V0a_27 @ A_27a )
% 5.64/5.88 => ! [V1a: $i] :
% 5.64/5.88 ( ( mem @ V1a @ A_27a )
% 5.64/5.88 => ( ( ap @ ( c_2Efcp_2EBIT1A @ A_27a ) @ V1a )
% 5.64/5.88 != ( ap @ ( c_2Efcp_2EBIT1B @ A_27a ) @ V0a_27 ) ) ) )
% 5.64/5.88 & ! [V2a: $i] :
% 5.64/5.88 ( ( mem @ V2a @ A_27a )
% 5.64/5.88 => ( ( ap @ ( c_2Efcp_2EBIT1A @ A_27a ) @ V2a )
% 5.64/5.88 != ( c_2Efcp_2EBIT1C @ A_27a ) ) )
% 5.64/5.88 & ! [V3a: $i] :
% 5.64/5.88 ( ( mem @ V3a @ A_27a )
% 5.64/5.88 => ( ( ap @ ( c_2Efcp_2EBIT1B @ A_27a ) @ V3a )
% 5.64/5.88 != ( c_2Efcp_2EBIT1C @ A_27a ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Efcp_2Ebit1__nchotomy,axiom,
% 5.64/5.88 ! [A_27a: del,V0bb: $i] :
% 5.64/5.88 ( ( mem @ V0bb @ ( ty_2Efcp_2Ebit1 @ A_27a ) )
% 5.64/5.88 => ( ? [V1a: $i] :
% 5.64/5.88 ( ( mem @ V1a @ A_27a )
% 5.64/5.88 & ( V0bb
% 5.64/5.88 = ( ap @ ( c_2Efcp_2EBIT1A @ A_27a ) @ V1a ) ) )
% 5.64/5.88 | ? [V2a: $i] :
% 5.64/5.88 ( ( mem @ V2a @ A_27a )
% 5.64/5.88 & ( V0bb
% 5.64/5.88 = ( ap @ ( c_2Efcp_2EBIT1B @ A_27a ) @ V2a ) ) )
% 5.64/5.88 | ( V0bb
% 5.64/5.88 = ( c_2Efcp_2EBIT1C @ A_27a ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Efcp_2Ebit1__Axiom,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,V0f0: $i] :
% 5.64/5.88 ( ( mem @ V0f0 @ ( arr @ A_27a @ A_27b ) )
% 5.64/5.88 => ! [V1f1: $i] :
% 5.64/5.88 ( ( mem @ V1f1 @ ( arr @ A_27a @ A_27b ) )
% 5.64/5.88 => ! [V2f2: $i] :
% 5.64/5.88 ( ( mem @ V2f2 @ A_27b )
% 5.64/5.88 => ? [V3fn: $i] :
% 5.64/5.88 ( ( mem @ V3fn @ ( arr @ ( ty_2Efcp_2Ebit1 @ A_27a ) @ A_27b ) )
% 5.64/5.88 & ! [V4a: $i] :
% 5.64/5.88 ( ( mem @ V4a @ A_27a )
% 5.64/5.88 => ( ( ap @ V3fn @ ( ap @ ( c_2Efcp_2EBIT1A @ A_27a ) @ V4a ) )
% 5.64/5.88 = ( ap @ V0f0 @ V4a ) ) )
% 5.64/5.88 & ! [V5a: $i] :
% 5.64/5.88 ( ( mem @ V5a @ A_27a )
% 5.64/5.88 => ( ( ap @ V3fn @ ( ap @ ( c_2Efcp_2EBIT1B @ A_27a ) @ V5a ) )
% 5.64/5.88 = ( ap @ V1f1 @ V5a ) ) )
% 5.64/5.88 & ( ( ap @ V3fn @ ( c_2Efcp_2EBIT1C @ A_27a ) )
% 5.64/5.88 = V2f2 ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Efcp_2Ebit1__induction,axiom,
% 5.64/5.88 ! [A_27a: del,V0P: $i] :
% 5.64/5.88 ( ( mem @ V0P @ ( arr @ ( ty_2Efcp_2Ebit1 @ A_27a ) @ bool ) )
% 5.64/5.88 => ( ( ! [V1a: $i] :
% 5.64/5.88 ( ( mem @ V1a @ A_27a )
% 5.64/5.88 => ( p @ ( ap @ V0P @ ( ap @ ( c_2Efcp_2EBIT1A @ A_27a ) @ V1a ) ) ) )
% 5.64/5.88 & ! [V2a: $i] :
% 5.64/5.88 ( ( mem @ V2a @ A_27a )
% 5.64/5.88 => ( p @ ( ap @ V0P @ ( ap @ ( c_2Efcp_2EBIT1B @ A_27a ) @ V2a ) ) ) )
% 5.64/5.88 & ( p @ ( ap @ V0P @ ( c_2Efcp_2EBIT1C @ A_27a ) ) ) )
% 5.64/5.88 => ! [V3b: $i] :
% 5.64/5.88 ( ( mem @ V3b @ ( ty_2Efcp_2Ebit1 @ A_27a ) )
% 5.64/5.88 => ( p @ ( ap @ V0P @ V3b ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Efcp_2Ebit1__case__cong,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,V0f_27: $i] :
% 5.64/5.88 ( ( mem @ V0f_27 @ ( arr @ A_27a @ A_27b ) )
% 5.64/5.88 => ! [V1f1_27: $i] :
% 5.64/5.88 ( ( mem @ V1f1_27 @ ( arr @ A_27a @ A_27b ) )
% 5.64/5.88 => ! [V2v_27: $i] :
% 5.64/5.88 ( ( mem @ V2v_27 @ A_27b )
% 5.64/5.88 => ! [V3M: $i] :
% 5.64/5.88 ( ( mem @ V3M @ ( ty_2Efcp_2Ebit1 @ A_27a ) )
% 5.64/5.88 => ! [V4M_27: $i] :
% 5.64/5.88 ( ( mem @ V4M_27 @ ( ty_2Efcp_2Ebit1 @ A_27a ) )
% 5.64/5.88 => ! [V5f: $i] :
% 5.64/5.88 ( ( mem @ V5f @ ( arr @ A_27a @ A_27b ) )
% 5.64/5.88 => ! [V6f1: $i] :
% 5.64/5.88 ( ( mem @ V6f1 @ ( arr @ A_27a @ A_27b ) )
% 5.64/5.88 => ! [V7v: $i] :
% 5.64/5.88 ( ( mem @ V7v @ A_27b )
% 5.64/5.88 => ( ( ( V3M = V4M_27 )
% 5.64/5.88 & ! [V8a: $i] :
% 5.64/5.88 ( ( mem @ V8a @ A_27a )
% 5.64/5.88 => ( ( V4M_27
% 5.64/5.88 = ( ap @ ( c_2Efcp_2EBIT1A @ A_27a ) @ V8a ) )
% 5.64/5.88 => ( ( ap @ V5f @ V8a )
% 5.64/5.88 = ( ap @ V0f_27 @ V8a ) ) ) )
% 5.64/5.88 & ! [V9a: $i] :
% 5.64/5.88 ( ( mem @ V9a @ A_27a )
% 5.64/5.88 => ( ( V4M_27
% 5.64/5.88 = ( ap @ ( c_2Efcp_2EBIT1B @ A_27a ) @ V9a ) )
% 5.64/5.88 => ( ( ap @ V6f1 @ V9a )
% 5.64/5.88 = ( ap @ V1f1_27 @ V9a ) ) ) )
% 5.64/5.88 & ( ( V4M_27
% 5.64/5.88 = ( c_2Efcp_2EBIT1C @ A_27a ) )
% 5.64/5.88 => ( V7v = V2v_27 ) ) )
% 5.64/5.88 => ( ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Efcp_2Ebit1__CASE @ A_27a @ A_27b ) @ V3M ) @ V5f ) @ V6f1 ) @ V7v )
% 5.64/5.88 = ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Efcp_2Ebit1__CASE @ A_27a @ A_27b ) @ V4M_27 ) @ V0f_27 ) @ V1f1_27 ) @ V2v_27 ) ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Efcp_2Ebit1__case__eq,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,V0x: $i] :
% 5.64/5.88 ( ( mem @ V0x @ ( ty_2Efcp_2Ebit1 @ A_27a ) )
% 5.64/5.88 => ! [V1f: $i] :
% 5.64/5.88 ( ( mem @ V1f @ ( arr @ A_27a @ A_27b ) )
% 5.64/5.88 => ! [V2f1: $i] :
% 5.64/5.88 ( ( mem @ V2f1 @ ( arr @ A_27a @ A_27b ) )
% 5.64/5.88 => ! [V3v: $i] :
% 5.64/5.88 ( ( mem @ V3v @ A_27b )
% 5.64/5.88 => ! [V4v_27: $i] :
% 5.64/5.88 ( ( mem @ V4v_27 @ A_27b )
% 5.64/5.88 => ( ( ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Efcp_2Ebit1__CASE @ A_27a @ A_27b ) @ V0x ) @ V1f ) @ V2f1 ) @ V3v )
% 5.64/5.88 = V4v_27 )
% 5.64/5.88 <=> ( ? [V5a: $i] :
% 5.64/5.88 ( ( mem @ V5a @ A_27a )
% 5.64/5.88 & ( V0x
% 5.64/5.88 = ( ap @ ( c_2Efcp_2EBIT1A @ A_27a ) @ V5a ) )
% 5.64/5.88 & ( ( ap @ V1f @ V5a )
% 5.64/5.88 = V4v_27 ) )
% 5.64/5.88 | ? [V6a: $i] :
% 5.64/5.88 ( ( mem @ V6a @ A_27a )
% 5.64/5.88 & ( V0x
% 5.64/5.88 = ( ap @ ( c_2Efcp_2EBIT1B @ A_27a ) @ V6a ) )
% 5.64/5.88 & ( ( ap @ V2f1 @ V6a )
% 5.64/5.88 = V4v_27 ) )
% 5.64/5.88 | ( ( V0x
% 5.64/5.88 = ( c_2Efcp_2EBIT1C @ A_27a ) )
% 5.64/5.88 & ( V3v = V4v_27 ) ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Efcp_2Eindex__bit1,axiom,
% 5.64/5.88 ! [A_27a: del] :
% 5.64/5.88 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Efcp_2Edimindex @ ( ty_2Efcp_2Ebit1 @ A_27a ) ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Efcp_2Ebit1 @ A_27a ) ) ) )
% 5.64/5.88 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ ( c_2Epred__set_2EUNIV @ A_27a ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( c_2Efcp_2Edimindex @ A_27a ) @ ( c_2Ebool_2Ethe__value @ A_27a ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Efcp_2Efinite__bit1,axiom,
% 5.64/5.88 ! [A_27a: del] :
% 5.64/5.88 ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ ( ty_2Efcp_2Ebit1 @ A_27a ) ) @ ( c_2Epred__set_2EUNIV @ ( ty_2Efcp_2Ebit1 @ A_27a ) ) ) )
% 5.64/5.88 <=> ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ ( c_2Epred__set_2EUNIV @ A_27a ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Efcp_2Eindex__one,axiom,
% 5.64/5.88 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Efcp_2Edimindex @ ty_2Eone_2Eone ) @ ( c_2Ebool_2Ethe__value @ ty_2Eone_2Eone ) ) )
% 5.64/5.88 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Efcp_2Efinite__one,axiom,
% 5.64/5.88 p @ ( ap @ ( c_2Epred__set_2EFINITE @ ty_2Eone_2Eone ) @ ( c_2Epred__set_2EUNIV @ ty_2Eone_2Eone ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(ax_thm_2Efcp_2EFCP__UPDATE__def,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,V0a: tp__ty_2Enum_2Enum,V1b: $i] :
% 5.64/5.88 ( ( mem @ V1b @ A_27a )
% 5.64/5.88 => ( ( ap @ ( ap @ ( c_2Efcp_2E_3A_2B @ A_27a @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ V1b )
% 5.64/5.88 = ( lam @ ( ty_2Efcp_2Ecart @ A_27a @ A_27b )
% 5.64/5.88 @ ^ [V2m: $i] :
% 5.64/5.88 ( ap @ ( c_2Efcp_2EFCP @ A_27a @ A_27b )
% 5.64/5.88 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.88 @ ^ [V3c: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ A_27a ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ V3c ) ) @ V1b ) @ ( ap @ ( ap @ ( c_2Efcp_2Efcp__index @ A_27a @ A_27b ) @ V2m ) @ V3c ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Efcp_2EFCP__UPDATE__COMMUTES,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,V0m: $i] :
% 5.64/5.88 ( ( mem @ V0m @ ( ty_2Efcp_2Ecart @ A_27a @ A_27b ) )
% 5.64/5.88 => ! [V1a: tp__ty_2Enum_2Enum,V2b: tp__ty_2Enum_2Enum,V3c: $i] :
% 5.64/5.88 ( ( mem @ V3c @ A_27a )
% 5.64/5.88 => ! [V4d: $i] :
% 5.64/5.88 ( ( mem @ V4d @ A_27a )
% 5.64/5.88 => ( ( V1a != V2b )
% 5.64/5.88 => ( ( ap @ ( ap @ ( ap @ ( c_2Efcp_2E_3A_2B @ A_27a @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V1a ) ) @ V3c ) @ ( ap @ ( ap @ ( ap @ ( c_2Efcp_2E_3A_2B @ A_27a @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V2b ) ) @ V4d ) @ V0m ) )
% 5.64/5.88 = ( ap @ ( ap @ ( ap @ ( c_2Efcp_2E_3A_2B @ A_27a @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V2b ) ) @ V4d ) @ ( ap @ ( ap @ ( ap @ ( c_2Efcp_2E_3A_2B @ A_27a @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V1a ) ) @ V3c ) @ V0m ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Efcp_2EFCP__UPDATE__EQ,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,V0m: $i] :
% 5.64/5.88 ( ( mem @ V0m @ ( ty_2Efcp_2Ecart @ A_27a @ A_27b ) )
% 5.64/5.88 => ! [V1a: tp__ty_2Enum_2Enum,V2b: $i] :
% 5.64/5.88 ( ( mem @ V2b @ A_27a )
% 5.64/5.88 => ! [V3c: $i] :
% 5.64/5.88 ( ( mem @ V3c @ A_27a )
% 5.64/5.88 => ( ( ap @ ( ap @ ( ap @ ( c_2Efcp_2E_3A_2B @ A_27a @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V1a ) ) @ V3c ) @ ( ap @ ( ap @ ( ap @ ( c_2Efcp_2E_3A_2B @ A_27a @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V1a ) ) @ V2b ) @ V0m ) )
% 5.64/5.88 = ( ap @ ( ap @ ( ap @ ( c_2Efcp_2E_3A_2B @ A_27a @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V1a ) ) @ V3c ) @ V0m ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Efcp_2EFCP__UPDATE__IMP__ID,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,V0m: $i] :
% 5.64/5.88 ( ( mem @ V0m @ ( ty_2Efcp_2Ecart @ A_27a @ A_27b ) )
% 5.64/5.88 => ! [V1a: tp__ty_2Enum_2Enum,V2v: $i] :
% 5.64/5.88 ( ( mem @ V2v @ A_27a )
% 5.64/5.88 => ( ( ( ap @ ( ap @ ( c_2Efcp_2Efcp__index @ A_27a @ A_27b ) @ V0m ) @ ( inj__ty_2Enum_2Enum @ V1a ) )
% 5.64/5.88 = V2v )
% 5.64/5.88 => ( ( ap @ ( ap @ ( ap @ ( c_2Efcp_2E_3A_2B @ A_27a @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V1a ) ) @ V2v ) @ V0m )
% 5.64/5.88 = V0m ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Efcp_2EAPPLY__FCP__UPDATE__ID,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,V0m: $i] :
% 5.64/5.88 ( ( mem @ V0m @ ( ty_2Efcp_2Ecart @ A_27a @ A_27b ) )
% 5.64/5.88 => ! [V1a: tp__ty_2Enum_2Enum] :
% 5.64/5.88 ( ( ap @ ( ap @ ( ap @ ( c_2Efcp_2E_3A_2B @ A_27a @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V1a ) ) @ ( ap @ ( ap @ ( c_2Efcp_2Efcp__index @ A_27a @ A_27b ) @ V0m ) @ ( inj__ty_2Enum_2Enum @ V1a ) ) ) @ V0m )
% 5.64/5.88 = V0m ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Efcp_2EFCP__APPLY__UPDATE__THM,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,V0index_20out_20of_20range: $i] :
% 5.64/5.88 ( ( mem @ V0index_20out_20of_20range @ bool )
% 5.64/5.88 => ! [V1m: $i] :
% 5.64/5.88 ( ( mem @ V1m @ ( ty_2Efcp_2Ecart @ A_27a @ A_27b ) )
% 5.64/5.88 => ! [V2a: tp__ty_2Enum_2Enum,V3w: $i] :
% 5.64/5.88 ( ( mem @ V3w @ A_27a )
% 5.64/5.88 => ! [V4b: tp__ty_2Enum_2Enum] :
% 5.64/5.88 ( ( ap @ ( ap @ ( c_2Efcp_2Efcp__index @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( ap @ ( c_2Efcp_2E_3A_2B @ A_27a @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V2a ) ) @ V3w ) @ V1m ) ) @ ( inj__ty_2Enum_2Enum @ V4b ) )
% 5.64/5.88 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ A_27a ) @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V4b ) ) @ ( ap @ ( c_2Efcp_2Edimindex @ A_27b ) @ ( c_2Ebool_2Ethe__value @ A_27b ) ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ A_27a ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V2a ) ) @ ( inj__ty_2Enum_2Enum @ V4b ) ) ) @ V3w ) @ ( ap @ ( ap @ ( c_2Efcp_2Efcp__index @ A_27a @ A_27b ) @ V1m ) @ ( inj__ty_2Enum_2Enum @ V4b ) ) ) ) @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Ecombin_2EFAIL @ ( arr @ ( ty_2Efcp_2Ecart @ A_27a @ A_27b ) @ ( arr @ ty_2Enum_2Enum @ A_27a ) ) @ bool ) @ ( c_2Efcp_2Efcp__index @ A_27a @ A_27b ) ) @ V0index_20out_20of_20range ) @ ( ap @ ( ap @ ( ap @ ( c_2Efcp_2E_3A_2B @ A_27a @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V2a ) ) @ V3w ) @ V1m ) ) @ ( inj__ty_2Enum_2Enum @ V4b ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(ax_thm_2Efcp_2EFCP__HD__def,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,V0v: $i] :
% 5.64/5.88 ( ( mem @ V0v @ ( ty_2Efcp_2Ecart @ A_27a @ A_27b ) )
% 5.64/5.88 => ( ( ap @ ( c_2Efcp_2EFCP__HD @ A_27a @ A_27b ) @ V0v )
% 5.64/5.88 = ( ap @ ( ap @ ( c_2Efcp_2Efcp__index @ A_27a @ A_27b ) @ V0v ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(ax_thm_2Efcp_2EFCP__TL__def,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,A_27c: del,V0v: $i] :
% 5.64/5.88 ( ( mem @ V0v @ ( ty_2Efcp_2Ecart @ A_27a @ A_27c ) )
% 5.64/5.88 => ( ( ap @ ( c_2Efcp_2EFCP__TL @ A_27a @ A_27b @ A_27c ) @ V0v )
% 5.64/5.88 = ( ap @ ( c_2Efcp_2EFCP @ A_27a @ A_27b )
% 5.64/5.88 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.88 @ ^ [V1i: $i] : ( ap @ ( ap @ ( c_2Efcp_2Efcp__index @ A_27a @ A_27c ) @ V0v ) @ ( ap @ c_2Enum_2ESUC @ V1i ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(ax_thm_2Efcp_2EFCP__CONS__def,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,A_27c: del,V0h: $i] :
% 5.64/5.88 ( ( mem @ V0h @ A_27a )
% 5.64/5.88 => ! [V1v: $i] :
% 5.64/5.88 ( ( mem @ V1v @ ( ty_2Efcp_2Ecart @ A_27a @ A_27b ) )
% 5.64/5.88 => ( ( ap @ ( ap @ ( c_2Efcp_2EFCP__CONS @ A_27a @ A_27b @ A_27c ) @ V0h ) @ V1v )
% 5.64/5.88 = ( ap @ ( ap @ ( ap @ ( c_2Efcp_2E_3A_2B @ A_27a @ A_27c ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ V0h )
% 5.64/5.88 @ ( ap @ ( c_2Efcp_2EFCP @ A_27a @ A_27c )
% 5.64/5.88 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.88 @ ^ [V2i: $i] : ( ap @ ( ap @ ( c_2Efcp_2Efcp__index @ A_27a @ A_27b ) @ V1v ) @ ( ap @ c_2Eprim__rec_2EPRE @ V2i ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(ax_thm_2Efcp_2EFCP__MAP__def,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.64/5.88 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.64/5.88 => ! [V1v: $i] :
% 5.64/5.88 ( ( mem @ V1v @ ( ty_2Efcp_2Ecart @ A_27a @ A_27c ) )
% 5.64/5.88 => ( ( ap @ ( ap @ ( c_2Efcp_2EFCP__MAP @ A_27a @ A_27b @ A_27c ) @ V0f ) @ V1v )
% 5.64/5.88 = ( ap @ ( c_2Efcp_2EFCP @ A_27b @ A_27c )
% 5.64/5.88 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.88 @ ^ [V2i: $i] : ( ap @ V0f @ ( ap @ ( ap @ ( c_2Efcp_2Efcp__index @ A_27a @ A_27c ) @ V1v ) @ V2i ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(ax_thm_2Efcp_2EFCP__EXISTS__def,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.64/5.88 ( ( mem @ V0P @ ( arr @ A_27b @ bool ) )
% 5.64/5.88 => ! [V1v: $i] :
% 5.64/5.88 ( ( mem @ V1v @ ( ty_2Efcp_2Ecart @ A_27b @ A_27a ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( ap @ ( c_2Efcp_2EFCP__EXISTS @ A_27a @ A_27b ) @ V0P ) @ V1v ) )
% 5.64/5.88 <=> ? [V2i: tp__ty_2Enum_2Enum] :
% 5.64/5.88 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V2i ) ) @ ( ap @ ( c_2Efcp_2Edimindex @ A_27a ) @ ( c_2Ebool_2Ethe__value @ A_27a ) ) ) )
% 5.64/5.88 & ( p @ ( ap @ V0P @ ( ap @ ( ap @ ( c_2Efcp_2Efcp__index @ A_27b @ A_27a ) @ V1v ) @ ( inj__ty_2Enum_2Enum @ V2i ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(ax_thm_2Efcp_2EFCP__EVERY__def,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.64/5.88 ( ( mem @ V0P @ ( arr @ A_27b @ bool ) )
% 5.64/5.88 => ! [V1v: $i] :
% 5.64/5.88 ( ( mem @ V1v @ ( ty_2Efcp_2Ecart @ A_27b @ A_27a ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( ap @ ( c_2Efcp_2EFCP__EVERY @ A_27a @ A_27b ) @ V0P ) @ V1v ) )
% 5.64/5.88 <=> ! [V2i: tp__ty_2Enum_2Enum] :
% 5.64/5.88 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( c_2Efcp_2Edimindex @ A_27a ) @ ( c_2Ebool_2Ethe__value @ A_27a ) ) ) @ ( inj__ty_2Enum_2Enum @ V2i ) ) )
% 5.64/5.88 | ( p @ ( ap @ V0P @ ( ap @ ( ap @ ( c_2Efcp_2Efcp__index @ A_27b @ A_27a ) @ V1v ) @ ( inj__ty_2Enum_2Enum @ V2i ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(ax_thm_2Efcp_2EFCP__CONCAT__def,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,A_27c: del,V0a: $i] :
% 5.64/5.88 ( ( mem @ V0a @ ( ty_2Efcp_2Ecart @ A_27a @ A_27b ) )
% 5.64/5.88 => ! [V1b: $i] :
% 5.64/5.88 ( ( mem @ V1b @ ( ty_2Efcp_2Ecart @ A_27a @ A_27c ) )
% 5.64/5.88 => ( ( ap @ ( ap @ ( c_2Efcp_2EFCP__CONCAT @ A_27a @ A_27b @ A_27c ) @ V0a ) @ V1b )
% 5.64/5.88 = ( ap @ ( c_2Efcp_2EFCP @ A_27a @ ( ty_2Esum_2Esum @ A_27b @ A_27c ) )
% 5.64/5.88 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.88 @ ^ [V2i: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ A_27a ) @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ V2i ) @ ( ap @ ( c_2Efcp_2Edimindex @ A_27c ) @ ( c_2Ebool_2Ethe__value @ A_27c ) ) ) ) @ ( ap @ ( ap @ ( c_2Efcp_2Efcp__index @ A_27a @ A_27c ) @ V1b ) @ V2i ) ) @ ( ap @ ( ap @ ( c_2Efcp_2Efcp__index @ A_27a @ A_27b ) @ V0a ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ V2i ) @ ( ap @ ( c_2Efcp_2Edimindex @ A_27c ) @ ( c_2Ebool_2Ethe__value @ A_27c ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(ax_thm_2Efcp_2EFCP__ZIP__def,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,A_27c: del,V0a: $i] :
% 5.64/5.88 ( ( mem @ V0a @ ( ty_2Efcp_2Ecart @ A_27a @ A_27b ) )
% 5.64/5.88 => ! [V1b: $i] :
% 5.64/5.88 ( ( mem @ V1b @ ( ty_2Efcp_2Ecart @ A_27c @ A_27b ) )
% 5.64/5.88 => ( ( ap @ ( ap @ ( c_2Efcp_2EFCP__ZIP @ A_27a @ A_27b @ A_27c ) @ V0a ) @ V1b )
% 5.64/5.88 = ( ap @ ( c_2Efcp_2EFCP @ ( ty_2Epair_2Eprod @ A_27a @ A_27c ) @ A_27b )
% 5.64/5.88 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.88 @ ^ [V2i: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27c ) @ ( ap @ ( ap @ ( c_2Efcp_2Efcp__index @ A_27a @ A_27b ) @ V0a ) @ V2i ) ) @ ( ap @ ( ap @ ( c_2Efcp_2Efcp__index @ A_27c @ A_27b ) @ V1b ) @ V2i ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(ax_thm_2Efcp_2EV2L__def,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,V0v: $i] :
% 5.64/5.88 ( ( mem @ V0v @ ( ty_2Efcp_2Ecart @ A_27a @ A_27b ) )
% 5.64/5.88 => ( ( ap @ ( c_2Efcp_2EV2L @ A_27a @ A_27b ) @ V0v )
% 5.64/5.88 = ( ap @ ( ap @ ( c_2Elist_2EGENLIST @ A_27a ) @ ( ap @ ( c_2Efcp_2Efcp__index @ A_27a @ A_27b ) @ V0v ) ) @ ( ap @ ( c_2Efcp_2Edimindex @ A_27b ) @ ( c_2Ebool_2Ethe__value @ A_27b ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(ax_thm_2Efcp_2EL2V__def,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,V0L: $i] :
% 5.64/5.88 ( ( mem @ V0L @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.88 => ( ( ap @ ( c_2Efcp_2EL2V @ A_27a @ A_27b ) @ V0L )
% 5.64/5.88 = ( ap @ ( c_2Efcp_2EFCP @ A_27a @ A_27b )
% 5.64/5.88 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.88 @ ^ [V1i: $i] : ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ V1i ) @ V0L ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(ax_thm_2Efcp_2EFCP__FOLD__def,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.64/5.88 ( ( mem @ V0f @ ( arr @ A_27b @ ( arr @ A_27a @ A_27b ) ) )
% 5.64/5.88 => ! [V1i: $i] :
% 5.64/5.88 ( ( mem @ V1i @ A_27b )
% 5.64/5.88 => ! [V2v: $i] :
% 5.64/5.88 ( ( mem @ V2v @ ( ty_2Efcp_2Ecart @ A_27a @ A_27c ) )
% 5.64/5.88 => ( ( ap @ ( ap @ ( ap @ ( c_2Efcp_2EFCP__FOLD @ A_27a @ A_27b @ A_27c ) @ V0f ) @ V1i ) @ V2v )
% 5.64/5.88 = ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDL @ A_27a @ A_27b ) @ V0f ) @ V1i ) @ ( ap @ ( c_2Efcp_2EV2L @ A_27a @ A_27c ) @ V2v ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Efcp_2ELENGTH__V2L,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,V0v: $i] :
% 5.64/5.88 ( ( mem @ V0v @ ( ty_2Efcp_2Ecart @ A_27a @ A_27b ) )
% 5.64/5.88 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ ( ap @ ( c_2Efcp_2EV2L @ A_27a @ A_27b ) @ V0v ) ) )
% 5.64/5.88 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Efcp_2Edimindex @ A_27b ) @ ( c_2Ebool_2Ethe__value @ A_27b ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Efcp_2EEL__V2L,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,V0i: tp__ty_2Enum_2Enum,V1v: $i] :
% 5.64/5.88 ( ( mem @ V1v @ ( ty_2Efcp_2Ecart @ A_27a @ A_27b ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0i ) ) @ ( ap @ ( c_2Efcp_2Edimindex @ A_27b ) @ ( c_2Ebool_2Ethe__value @ A_27b ) ) ) )
% 5.64/5.88 => ( ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0i ) ) @ ( ap @ ( c_2Efcp_2EV2L @ A_27a @ A_27b ) @ V1v ) )
% 5.64/5.88 = ( ap @ ( ap @ ( c_2Efcp_2Efcp__index @ A_27a @ A_27b ) @ V1v ) @ ( inj__ty_2Enum_2Enum @ V0i ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Efcp_2EFCP__MAP,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.64/5.88 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.64/5.88 => ! [V1v: $i] :
% 5.64/5.88 ( ( mem @ V1v @ ( ty_2Efcp_2Ecart @ A_27a @ A_27c ) )
% 5.64/5.88 => ( ( ap @ ( ap @ ( c_2Efcp_2EFCP__MAP @ A_27a @ A_27b @ A_27c ) @ V0f ) @ V1v )
% 5.64/5.88 = ( ap @ ( c_2Efcp_2EL2V @ A_27b @ A_27c ) @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27a @ A_27b ) @ V0f ) @ ( ap @ ( c_2Efcp_2EV2L @ A_27a @ A_27c ) @ V1v ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Efcp_2EFCP__TL,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,A_27c: del,V0v: $i] :
% 5.64/5.88 ( ( mem @ V0v @ ( ty_2Efcp_2Ecart @ A_27a @ A_27b ) )
% 5.64/5.88 => ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( c_2Efcp_2Edimindex @ A_27b ) @ ( c_2Ebool_2Ethe__value @ A_27b ) ) ) )
% 5.64/5.88 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Efcp_2Edimindex @ A_27c ) @ ( c_2Ebool_2Ethe__value @ A_27c ) ) )
% 5.64/5.88 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ ( c_2Efcp_2Edimindex @ A_27b ) @ ( c_2Ebool_2Ethe__value @ A_27b ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.64/5.88 => ( ( ap @ ( c_2Efcp_2EFCP__TL @ A_27a @ A_27c @ A_27b ) @ V0v )
% 5.64/5.88 = ( ap @ ( c_2Efcp_2EL2V @ A_27a @ A_27c ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ ( ap @ ( c_2Efcp_2EV2L @ A_27a @ A_27b ) @ V0v ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Efcp_2EFCP__EXISTS,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.64/5.88 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.64/5.88 => ! [V1v: $i] :
% 5.64/5.88 ( ( mem @ V1v @ ( ty_2Efcp_2Ecart @ A_27a @ A_27b ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( ap @ ( c_2Efcp_2EFCP__EXISTS @ A_27b @ A_27a ) @ V0P ) @ V1v ) )
% 5.64/5.88 <=> ( p @ ( ap @ ( ap @ ( c_2Elist_2EEXISTS @ A_27a ) @ V0P ) @ ( ap @ ( c_2Efcp_2EV2L @ A_27a @ A_27b ) @ V1v ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Efcp_2EFCP__EVERY,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.64/5.88 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.64/5.88 => ! [V1v: $i] :
% 5.64/5.88 ( ( mem @ V1v @ ( ty_2Efcp_2Ecart @ A_27a @ A_27b ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( ap @ ( c_2Efcp_2EFCP__EVERY @ A_27b @ A_27a ) @ V0P ) @ V1v ) )
% 5.64/5.88 <=> ( p @ ( ap @ ( ap @ ( c_2Elist_2EEVERY @ A_27a ) @ V0P ) @ ( ap @ ( c_2Efcp_2EV2L @ A_27a @ A_27b ) @ V1v ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Efcp_2EFCP__HD,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,V0v: $i] :
% 5.64/5.88 ( ( mem @ V0v @ ( ty_2Efcp_2Ecart @ A_27a @ A_27b ) )
% 5.64/5.88 => ( ( ap @ ( c_2Efcp_2EFCP__HD @ A_27a @ A_27b ) @ V0v )
% 5.64/5.88 = ( ap @ ( c_2Elist_2EHD @ A_27a ) @ ( ap @ ( c_2Efcp_2EV2L @ A_27a @ A_27b ) @ V0v ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Efcp_2EFCP__CONS,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,V0a: $i] :
% 5.64/5.88 ( ( mem @ V0a @ A_27a )
% 5.64/5.88 => ! [V1v: $i] :
% 5.64/5.88 ( ( mem @ V1v @ ( ty_2Efcp_2Ecart @ A_27a @ A_27b ) )
% 5.64/5.88 => ( ( ap @ ( ap @ ( c_2Efcp_2EFCP__CONS @ A_27a @ A_27b @ ( ty_2Esum_2Esum @ A_27b @ ty_2Eone_2Eone ) ) @ V0a ) @ V1v )
% 5.64/5.88 = ( ap @ ( c_2Efcp_2EL2V @ A_27a @ ( ty_2Esum_2Esum @ A_27b @ ty_2Eone_2Eone ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V0a ) @ ( ap @ ( c_2Efcp_2EV2L @ A_27a @ A_27b ) @ V1v ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Efcp_2EV2L__L2V,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,V0x: $i] :
% 5.64/5.88 ( ( mem @ V0x @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.88 => ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Efcp_2Edimindex @ A_27b ) @ ( c_2Ebool_2Ethe__value @ A_27b ) ) )
% 5.64/5.88 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0x ) ) )
% 5.64/5.88 => ( ( ap @ ( c_2Efcp_2EV2L @ A_27a @ A_27b ) @ ( ap @ ( c_2Efcp_2EL2V @ A_27a @ A_27b ) @ V0x ) )
% 5.64/5.88 = V0x ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Efcp_2ENULL__V2L,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,V0v: $i] :
% 5.64/5.88 ( ( mem @ V0v @ ( ty_2Efcp_2Ecart @ A_27a @ A_27b ) )
% 5.64/5.88 => ~ ( p @ ( ap @ ( c_2Elist_2ENULL @ A_27a ) @ ( ap @ ( c_2Efcp_2EV2L @ A_27a @ A_27b ) @ V0v ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Efcp_2EREAD__TL,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,A_27c: del,V0i: tp__ty_2Enum_2Enum,V1a: $i] :
% 5.64/5.88 ( ( mem @ V1a @ ( ty_2Efcp_2Ecart @ A_27a @ A_27c ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0i ) ) @ ( ap @ ( c_2Efcp_2Edimindex @ A_27b ) @ ( c_2Ebool_2Ethe__value @ A_27b ) ) ) )
% 5.64/5.88 => ( ( ap @ ( ap @ ( c_2Efcp_2Efcp__index @ A_27a @ A_27b ) @ ( ap @ ( c_2Efcp_2EFCP__TL @ A_27a @ A_27b @ A_27c ) @ V1a ) ) @ ( inj__ty_2Enum_2Enum @ V0i ) )
% 5.64/5.88 = ( ap @ ( ap @ ( c_2Efcp_2Efcp__index @ A_27a @ A_27c ) @ V1a ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0i ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Efcp_2EREAD__L2V,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,V0i: tp__ty_2Enum_2Enum,V1a: $i] :
% 5.64/5.88 ( ( mem @ V1a @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0i ) ) @ ( ap @ ( c_2Efcp_2Edimindex @ A_27b ) @ ( c_2Ebool_2Ethe__value @ A_27b ) ) ) )
% 5.64/5.88 => ( ( ap @ ( ap @ ( c_2Efcp_2Efcp__index @ A_27a @ A_27b ) @ ( ap @ ( c_2Efcp_2EL2V @ A_27a @ A_27b ) @ V1a ) ) @ ( inj__ty_2Enum_2Enum @ V0i ) )
% 5.64/5.88 = ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0i ) ) @ V1a ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Efcp_2Eindex__comp,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,V0FCP_20out_20of_20bounds: $i] :
% 5.64/5.88 ( ( mem @ V0FCP_20out_20of_20bounds @ bool )
% 5.64/5.88 => ! [V1f: $i] :
% 5.64/5.88 ( ( mem @ V1f @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.64/5.88 => ! [V2n: tp__ty_2Enum_2Enum] :
% 5.64/5.88 ( ( ap @ ( ap @ ( c_2Efcp_2Efcp__index @ A_27a @ A_27b ) @ ( ap @ ( c_2Efcp_2EFCP @ A_27a @ A_27b ) @ V1f ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) )
% 5.64/5.88 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ A_27a ) @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( ap @ ( c_2Efcp_2Edimindex @ A_27b ) @ ( c_2Ebool_2Ethe__value @ A_27b ) ) ) ) @ ( ap @ V1f @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Ecombin_2EFAIL @ ( arr @ ( ty_2Efcp_2Ecart @ A_27a @ A_27b ) @ ( arr @ ty_2Enum_2Enum @ A_27a ) ) @ bool ) @ ( c_2Efcp_2Efcp__index @ A_27a @ A_27b ) ) @ V0FCP_20out_20of_20bounds ) @ ( ap @ ( c_2Efcp_2EFCP @ A_27a @ A_27b ) @ V1f ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Efcp_2Efcp__subst__comp,axiom,
% 5.64/5.88 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0x: tp__ty_2Enum_2Enum,V1y: $i] :
% 5.64/5.88 ( ( mem @ V1y @ A_27a )
% 5.64/5.88 => ! [V2a: $i] :
% 5.64/5.88 ( ( mem @ V2a @ A_27c )
% 5.64/5.88 => ! [V3b: $i] :
% 5.64/5.88 ( ( mem @ V3b @ A_27d )
% 5.64/5.88 => ! [V4f: $i] :
% 5.64/5.88 ( ( mem @ V4f @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.64/5.88 => ( ( ap @ ( ap @ ( ap @ ( c_2Efcp_2E_3A_2B @ A_27a @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ V1y ) @ ( ap @ ( c_2Efcp_2EFCP @ A_27a @ A_27b ) @ V4f ) )
% 5.64/5.88 = ( ap @ ( c_2Efcp_2EFCP @ A_27a @ A_27b )
% 5.64/5.88 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.88 @ ^ [V5c: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ A_27a ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ V5c ) ) @ V1y ) @ ( ap @ V4f @ V5c ) ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 %------------------------------------------------------------------------------
% 5.64/5.88 %------------------------------------------------------------------------------
% 5.64/5.88 thf(tp_c_2Esum__num_2EGSUM,type,
% 5.64/5.88 c_2Esum__num_2EGSUM: $i ).
% 5.64/5.88
% 5.64/5.88 thf(mem_c_2Esum__num_2EGSUM,axiom,
% 5.64/5.88 mem @ c_2Esum__num_2EGSUM @ ( arr @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( arr @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ty_2Enum_2Enum ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(tp_c_2Esum__num_2ESUM,type,
% 5.64/5.88 c_2Esum__num_2ESUM: $i ).
% 5.64/5.88
% 5.64/5.88 thf(mem_c_2Esum__num_2ESUM,axiom,
% 5.64/5.88 mem @ c_2Esum__num_2ESUM @ ( arr @ ty_2Enum_2Enum @ ( arr @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ty_2Enum_2Enum ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Esum__num_2EGSUM__ind,axiom,
% 5.64/5.88 ! [V0P: $i] :
% 5.64/5.88 ( ( mem @ V0P @ ( arr @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( arr @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ bool ) ) )
% 5.64/5.88 => ( ( ! [V1n: tp__ty_2Enum_2Enum,V2f: $i] :
% 5.64/5.88 ( ( mem @ V2f @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.64/5.88 => ( p @ ( ap @ ( ap @ V0P @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) @ V2f ) ) )
% 5.64/5.88 & ! [V3n: tp__ty_2Enum_2Enum,V4m: tp__ty_2Enum_2Enum,V5f: $i] :
% 5.64/5.88 ( ( mem @ V5f @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( ap @ V0P @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V3n ) ) @ ( inj__ty_2Enum_2Enum @ V4m ) ) ) @ V5f ) )
% 5.64/5.88 => ( p @ ( ap @ ( ap @ V0P @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V3n ) ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V4m ) ) ) ) @ V5f ) ) ) ) )
% 5.64/5.88 => ! [V6v: tp__ty_2Enum_2Enum,V7v1: tp__ty_2Enum_2Enum,V8v2: $i] :
% 5.64/5.88 ( ( mem @ V8v2 @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.64/5.88 => ( p @ ( ap @ ( ap @ V0P @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V6v ) ) @ ( inj__ty_2Enum_2Enum @ V7v1 ) ) ) @ V8v2 ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Esum__num_2EGSUM__def,axiom,
% 5.64/5.88 ( ! [V0n: tp__ty_2Enum_2Enum,V1f: $i] :
% 5.64/5.88 ( ( mem @ V1f @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.64/5.88 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Esum__num_2EGSUM @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) @ V1f ) )
% 5.64/5.88 = fo__c_2Enum_2E0 ) )
% 5.64/5.88 & ! [V2n: tp__ty_2Enum_2Enum,V3m: tp__ty_2Enum_2Enum,V4f: $i] :
% 5.64/5.88 ( ( mem @ V4f @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.64/5.88 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Esum__num_2EGSUM @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V3m ) ) ) ) @ V4f ) )
% 5.64/5.88 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ c_2Esum__num_2EGSUM @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( inj__ty_2Enum_2Enum @ V3m ) ) ) @ V4f ) ) @ ( ap @ V4f @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( inj__ty_2Enum_2Enum @ V3m ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Esum__num_2EGSUM__def__compute,axiom,
% 5.64/5.88 ( ! [V0n: tp__ty_2Enum_2Enum,V1f: $i] :
% 5.64/5.88 ( ( mem @ V1f @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.64/5.88 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Esum__num_2EGSUM @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) @ V1f ) )
% 5.64/5.88 = fo__c_2Enum_2E0 ) )
% 5.64/5.88 & ! [V2n: tp__ty_2Enum_2Enum,V3m: tp__ty_2Enum_2Enum,V4f: $i] :
% 5.64/5.88 ( ( mem @ V4f @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.64/5.88 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Esum__num_2EGSUM @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V3m ) ) ) ) ) @ V4f ) )
% 5.64/5.88 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ c_2Esum__num_2EGSUM @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V3m ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ V4f ) ) @ ( ap @ V4f @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V3m ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) )
% 5.64/5.88 & ! [V5n: tp__ty_2Enum_2Enum,V6m: tp__ty_2Enum_2Enum,V7f: $i] :
% 5.64/5.88 ( ( mem @ V7f @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.64/5.88 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Esum__num_2EGSUM @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V5n ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V6m ) ) ) ) ) @ V7f ) )
% 5.64/5.88 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ c_2Esum__num_2EGSUM @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V5n ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V6m ) ) ) ) ) @ V7f ) ) @ ( ap @ V7f @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V5n ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V6m ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Esum__num_2EGSUM__1,axiom,
% 5.64/5.88 ! [V0m: tp__ty_2Enum_2Enum,V1f: $i] :
% 5.64/5.88 ( ( mem @ V1f @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.64/5.88 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Esum__num_2EGSUM @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ V1f ) )
% 5.64/5.88 = ( surj__ty_2Enum_2Enum @ ( ap @ V1f @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Esum__num_2EGSUM__ADD,axiom,
% 5.64/5.88 ! [V0p: tp__ty_2Enum_2Enum,V1m: tp__ty_2Enum_2Enum,V2n: tp__ty_2Enum_2Enum,V3f: $i] :
% 5.64/5.88 ( ( mem @ V3f @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.64/5.88 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Esum__num_2EGSUM @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V0p ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) @ V3f ) )
% 5.64/5.88 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ c_2Esum__num_2EGSUM @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V0p ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) @ V3f ) ) @ ( ap @ ( ap @ c_2Esum__num_2EGSUM @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0p ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) @ V3f ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Esum__num_2EGSUM__ZERO,axiom,
% 5.64/5.88 ! [V0p: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum,V2f: $i] :
% 5.64/5.88 ( ( mem @ V2f @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.64/5.88 => ( ! [V3m: tp__ty_2Enum_2Enum] :
% 5.64/5.88 ( ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0p ) ) @ ( inj__ty_2Enum_2Enum @ V3m ) ) )
% 5.64/5.88 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V3m ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0p ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) )
% 5.64/5.88 => ( ( surj__ty_2Enum_2Enum @ ( ap @ V2f @ ( inj__ty_2Enum_2Enum @ V3m ) ) )
% 5.64/5.88 = fo__c_2Enum_2E0 ) )
% 5.64/5.88 <=> ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Esum__num_2EGSUM @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V0p ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ V2f ) )
% 5.64/5.88 = fo__c_2Enum_2E0 ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Esum__num_2EGSUM__MONO,axiom,
% 5.64/5.88 ! [V0p: tp__ty_2Enum_2Enum,V1m: tp__ty_2Enum_2Enum,V2n: tp__ty_2Enum_2Enum,V3f: $i] :
% 5.64/5.88 ( ( mem @ V3f @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.64/5.88 => ( ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) )
% 5.64/5.88 & ( ( surj__ty_2Enum_2Enum @ ( ap @ V3f @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0p ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) )
% 5.64/5.88 != fo__c_2Enum_2E0 ) )
% 5.64/5.88 => ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ ( ap @ c_2Esum__num_2EGSUM @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V0p ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) @ V3f ) ) @ ( ap @ ( ap @ c_2Esum__num_2EGSUM @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V0p ) ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) @ V3f ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Esum__num_2EGSUM__LESS,axiom,
% 5.64/5.88 ! [V0p: tp__ty_2Enum_2Enum,V1m: tp__ty_2Enum_2Enum,V2n: tp__ty_2Enum_2Enum,V3f: $i] :
% 5.64/5.88 ( ( mem @ V3f @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.64/5.88 => ( ? [V4q: tp__ty_2Enum_2Enum] :
% 5.64/5.88 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( inj__ty_2Enum_2Enum @ V0p ) ) ) @ ( inj__ty_2Enum_2Enum @ V4q ) ) )
% 5.64/5.88 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V4q ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( inj__ty_2Enum_2Enum @ V0p ) ) ) )
% 5.64/5.88 & ( ( surj__ty_2Enum_2Enum @ ( ap @ V3f @ ( inj__ty_2Enum_2Enum @ V4q ) ) )
% 5.64/5.88 != fo__c_2Enum_2E0 ) )
% 5.64/5.88 <=> ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ ( ap @ c_2Esum__num_2EGSUM @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V0p ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) @ V3f ) ) @ ( ap @ ( ap @ c_2Esum__num_2EGSUM @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V0p ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) @ V3f ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Esum__num_2EGSUM__EQUAL,axiom,
% 5.64/5.88 ! [V0p: tp__ty_2Enum_2Enum,V1m: tp__ty_2Enum_2Enum,V2n: tp__ty_2Enum_2Enum,V3f: $i] :
% 5.64/5.88 ( ( mem @ V3f @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.64/5.88 => ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Esum__num_2EGSUM @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V0p ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) @ V3f ) )
% 5.64/5.88 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Esum__num_2EGSUM @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V0p ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) @ V3f ) ) )
% 5.64/5.88 <=> ( ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) )
% 5.64/5.88 & ! [V4q: tp__ty_2Enum_2Enum] :
% 5.64/5.88 ( ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0p ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) @ ( inj__ty_2Enum_2Enum @ V4q ) ) )
% 5.64/5.88 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V4q ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0p ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) )
% 5.64/5.88 => ( ( surj__ty_2Enum_2Enum @ ( ap @ V3f @ ( inj__ty_2Enum_2Enum @ V4q ) ) )
% 5.64/5.88 = fo__c_2Enum_2E0 ) ) )
% 5.64/5.88 | ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) )
% 5.64/5.88 & ! [V5q: tp__ty_2Enum_2Enum] :
% 5.64/5.88 ( ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0p ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) @ ( inj__ty_2Enum_2Enum @ V5q ) ) )
% 5.64/5.88 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V5q ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0p ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) ) )
% 5.64/5.88 => ( ( surj__ty_2Enum_2Enum @ ( ap @ V3f @ ( inj__ty_2Enum_2Enum @ V5q ) ) )
% 5.64/5.88 = fo__c_2Enum_2E0 ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Esum__num_2EGSUM__FUN__EQUAL,axiom,
% 5.64/5.88 ! [V0p: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum,V2f: $i] :
% 5.64/5.88 ( ( mem @ V2f @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.64/5.88 => ! [V3g: $i] :
% 5.64/5.88 ( ( mem @ V3g @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.64/5.88 => ( ! [V4x: tp__ty_2Enum_2Enum] :
% 5.64/5.88 ( ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0p ) ) @ ( inj__ty_2Enum_2Enum @ V4x ) ) )
% 5.64/5.88 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V4x ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0p ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) )
% 5.64/5.88 => ( ( surj__ty_2Enum_2Enum @ ( ap @ V2f @ ( inj__ty_2Enum_2Enum @ V4x ) ) )
% 5.64/5.88 = ( surj__ty_2Enum_2Enum @ ( ap @ V3g @ ( inj__ty_2Enum_2Enum @ V4x ) ) ) ) )
% 5.64/5.88 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Esum__num_2EGSUM @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V0p ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ V2f ) )
% 5.64/5.88 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Esum__num_2EGSUM @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V0p ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ V3g ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(ax_thm_2Esum__num_2ESUM__def,axiom,
% 5.64/5.88 ( ! [V0f: $i] :
% 5.64/5.88 ( ( mem @ V0f @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.64/5.88 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Esum__num_2ESUM @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ V0f ) )
% 5.64/5.88 = fo__c_2Enum_2E0 ) )
% 5.64/5.88 & ! [V1m: tp__ty_2Enum_2Enum,V2f: $i] :
% 5.64/5.88 ( ( mem @ V2f @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.64/5.88 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Esum__num_2ESUM @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) @ V2f ) )
% 5.64/5.88 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ c_2Esum__num_2ESUM @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ V2f ) ) @ ( ap @ V2f @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Esum__num_2ESUM__def__compute,axiom,
% 5.64/5.88 ( ! [V0f: $i] :
% 5.64/5.88 ( ( mem @ V0f @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.64/5.88 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Esum__num_2ESUM @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ V0f ) )
% 5.64/5.88 = fo__c_2Enum_2E0 ) )
% 5.64/5.88 & ! [V1m: tp__ty_2Enum_2Enum,V2f: $i] :
% 5.64/5.88 ( ( mem @ V2f @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.64/5.88 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Esum__num_2ESUM @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) ) @ V2f ) )
% 5.64/5.88 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ c_2Esum__num_2ESUM @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ V2f ) ) @ ( ap @ V2f @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) )
% 5.64/5.88 & ! [V3m: tp__ty_2Enum_2Enum,V4f: $i] :
% 5.64/5.88 ( ( mem @ V4f @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.64/5.88 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Esum__num_2ESUM @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V3m ) ) ) ) @ V4f ) )
% 5.64/5.88 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ c_2Esum__num_2ESUM @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V3m ) ) ) ) @ V4f ) ) @ ( ap @ V4f @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V3m ) ) ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Esum__num_2ESUM,axiom,
% 5.64/5.88 ! [V0m: tp__ty_2Enum_2Enum,V1f: $i] :
% 5.64/5.88 ( ( mem @ V1f @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.64/5.88 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Esum__num_2ESUM @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ V1f ) )
% 5.64/5.88 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Esum__num_2EGSUM @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) @ V1f ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Esum__num_2ESUM__1,axiom,
% 5.64/5.88 ! [V0f: $i] :
% 5.64/5.88 ( ( mem @ V0f @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.64/5.88 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Esum__num_2ESUM @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ V0f ) )
% 5.64/5.88 = ( surj__ty_2Enum_2Enum @ ( ap @ V0f @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Esum__num_2ESUM__MONO,axiom,
% 5.64/5.88 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum,V2f: $i] :
% 5.64/5.88 ( ( mem @ V2f @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.64/5.88 => ( ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.64/5.88 & ( ( surj__ty_2Enum_2Enum @ ( ap @ V2f @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.64/5.88 != fo__c_2Enum_2E0 ) )
% 5.64/5.88 => ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ ( ap @ c_2Esum__num_2ESUM @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ V2f ) ) @ ( ap @ ( ap @ c_2Esum__num_2ESUM @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ V2f ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Esum__num_2ESUM__LESS,axiom,
% 5.64/5.88 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum,V2f: $i] :
% 5.64/5.88 ( ( mem @ V2f @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.64/5.88 => ( ? [V3q: tp__ty_2Enum_2Enum] :
% 5.64/5.88 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V3q ) ) )
% 5.64/5.88 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V3q ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.64/5.88 & ( ( surj__ty_2Enum_2Enum @ ( ap @ V2f @ ( inj__ty_2Enum_2Enum @ V3q ) ) )
% 5.64/5.88 != fo__c_2Enum_2E0 ) )
% 5.64/5.88 <=> ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ ( ap @ c_2Esum__num_2ESUM @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ V2f ) ) @ ( ap @ ( ap @ c_2Esum__num_2ESUM @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ V2f ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Esum__num_2ESUM__EQUAL,axiom,
% 5.64/5.88 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum,V2f: $i] :
% 5.64/5.88 ( ( mem @ V2f @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.64/5.88 => ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Esum__num_2ESUM @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ V2f ) )
% 5.64/5.88 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Esum__num_2ESUM @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ V2f ) ) )
% 5.64/5.88 <=> ( ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.64/5.88 & ! [V3q: tp__ty_2Enum_2Enum] :
% 5.64/5.88 ( ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V3q ) ) )
% 5.64/5.88 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V3q ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.64/5.88 => ( ( surj__ty_2Enum_2Enum @ ( ap @ V2f @ ( inj__ty_2Enum_2Enum @ V3q ) ) )
% 5.64/5.88 = fo__c_2Enum_2E0 ) ) )
% 5.64/5.88 | ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) )
% 5.64/5.88 & ! [V4q: tp__ty_2Enum_2Enum] :
% 5.64/5.88 ( ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V4q ) ) )
% 5.64/5.88 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V4q ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) )
% 5.64/5.88 => ( ( surj__ty_2Enum_2Enum @ ( ap @ V2f @ ( inj__ty_2Enum_2Enum @ V4q ) ) )
% 5.64/5.88 = fo__c_2Enum_2E0 ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Esum__num_2ESUM__FUN__EQUAL,axiom,
% 5.64/5.88 ! [V0n: tp__ty_2Enum_2Enum,V1f: $i] :
% 5.64/5.88 ( ( mem @ V1f @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.64/5.88 => ! [V2g: $i] :
% 5.64/5.88 ( ( mem @ V2g @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.64/5.88 => ( ! [V3x: tp__ty_2Enum_2Enum] :
% 5.64/5.88 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V3x ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.64/5.88 => ( ( surj__ty_2Enum_2Enum @ ( ap @ V1f @ ( inj__ty_2Enum_2Enum @ V3x ) ) )
% 5.64/5.88 = ( surj__ty_2Enum_2Enum @ ( ap @ V2g @ ( inj__ty_2Enum_2Enum @ V3x ) ) ) ) )
% 5.64/5.88 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Esum__num_2ESUM @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1f ) )
% 5.64/5.88 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Esum__num_2ESUM @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V2g ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Esum__num_2ESUM__ZERO,axiom,
% 5.64/5.88 ! [V0n: tp__ty_2Enum_2Enum,V1f: $i] :
% 5.64/5.88 ( ( mem @ V1f @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.64/5.88 => ( ! [V2m: tp__ty_2Enum_2Enum] :
% 5.64/5.88 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V2m ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.64/5.88 => ( ( surj__ty_2Enum_2Enum @ ( ap @ V1f @ ( inj__ty_2Enum_2Enum @ V2m ) ) )
% 5.64/5.88 = fo__c_2Enum_2E0 ) )
% 5.64/5.88 <=> ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Esum__num_2ESUM @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1f ) )
% 5.64/5.88 = fo__c_2Enum_2E0 ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Esum__num_2ESUM__FOLDL,axiom,
% 5.64/5.88 ! [V0n: tp__ty_2Enum_2Enum,V1f: $i] :
% 5.64/5.88 ( ( mem @ V1f @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.64/5.88 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Esum__num_2ESUM @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1f ) )
% 5.64/5.88 = ( surj__ty_2Enum_2Enum
% 5.64/5.88 @ ( ap
% 5.64/5.88 @ ( ap
% 5.64/5.88 @ ( ap @ ( c_2Elist_2EFOLDL @ ty_2Enum_2Enum @ ty_2Enum_2Enum )
% 5.64/5.88 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.88 @ ^ [V2x: $i] :
% 5.64/5.88 ( lam @ ty_2Enum_2Enum
% 5.64/5.88 @ ^ [V3n: $i] : ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ V1f @ V3n ) ) @ V2x ) ) ) )
% 5.64/5.88 @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) )
% 5.64/5.88 @ ( ap @ c_2Erich__list_2ECOUNT__LIST @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 %------------------------------------------------------------------------------
% 5.64/5.88 %------------------------------------------------------------------------------
% 5.64/5.88 thf(tp_c_2Esorting_2EPART,type,
% 5.64/5.88 c_2Esorting_2EPART: del > $i ).
% 5.64/5.88
% 5.64/5.88 thf(mem_c_2Esorting_2EPART,axiom,
% 5.64/5.88 ! [A_27a: del] : ( mem @ ( c_2Esorting_2EPART @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(tp_c_2Esorting_2EPART3,type,
% 5.64/5.88 c_2Esorting_2EPART3: del > $i ).
% 5.64/5.88
% 5.64/5.88 thf(mem_c_2Esorting_2EPART3,axiom,
% 5.64/5.88 ! [A_27a: del] : ( mem @ ( c_2Esorting_2EPART3 @ A_27a ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) @ ( arr @ A_27a @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(tp_c_2Esorting_2EPARTITION,type,
% 5.64/5.88 c_2Esorting_2EPARTITION: del > $i ).
% 5.64/5.88
% 5.64/5.88 thf(mem_c_2Esorting_2EPARTITION,axiom,
% 5.64/5.88 ! [A_27a: del] : ( mem @ ( c_2Esorting_2EPARTITION @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(tp_c_2Esorting_2EPERM,type,
% 5.64/5.88 c_2Esorting_2EPERM: del > $i ).
% 5.64/5.88
% 5.64/5.88 thf(mem_c_2Esorting_2EPERM,axiom,
% 5.64/5.88 ! [A_27a: del] : ( mem @ ( c_2Esorting_2EPERM @ A_27a ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ bool ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(tp_c_2Esorting_2EPERM__SINGLE__SWAP,type,
% 5.64/5.88 c_2Esorting_2EPERM__SINGLE__SWAP: del > $i ).
% 5.64/5.88
% 5.64/5.88 thf(mem_c_2Esorting_2EPERM__SINGLE__SWAP,axiom,
% 5.64/5.88 ! [A_27a: del] : ( mem @ ( c_2Esorting_2EPERM__SINGLE__SWAP @ A_27a ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ bool ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(tp_c_2Esorting_2EQSORT,type,
% 5.64/5.88 c_2Esorting_2EQSORT: del > $i ).
% 5.64/5.88
% 5.64/5.88 thf(mem_c_2Esorting_2EQSORT,axiom,
% 5.64/5.88 ! [A_27a: del] : ( mem @ ( c_2Esorting_2EQSORT @ A_27a ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(tp_c_2Esorting_2EQSORT3,type,
% 5.64/5.88 c_2Esorting_2EQSORT3: del > $i ).
% 5.64/5.88
% 5.64/5.88 thf(mem_c_2Esorting_2EQSORT3,axiom,
% 5.64/5.88 ! [A_27a: del] : ( mem @ ( c_2Esorting_2EQSORT3 @ A_27a ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(tp_c_2Esorting_2ESORTED,type,
% 5.64/5.88 c_2Esorting_2ESORTED: del > $i ).
% 5.64/5.88
% 5.64/5.88 thf(mem_c_2Esorting_2ESORTED,axiom,
% 5.64/5.88 ! [A_27a: del] : ( mem @ ( c_2Esorting_2ESORTED @ A_27a ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ bool ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(tp_c_2Esorting_2ESORTS,type,
% 5.64/5.88 c_2Esorting_2ESORTS: del > $i ).
% 5.64/5.88
% 5.64/5.88 thf(mem_c_2Esorting_2ESORTS,axiom,
% 5.64/5.88 ! [A_27a: del] : ( mem @ ( c_2Esorting_2ESORTS @ A_27a ) @ ( arr @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) @ bool ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(tp_c_2Esorting_2ESTABLE,type,
% 5.64/5.88 c_2Esorting_2ESTABLE: del > $i ).
% 5.64/5.88
% 5.64/5.88 thf(mem_c_2Esorting_2ESTABLE,axiom,
% 5.64/5.88 ! [A_27a: del] : ( mem @ ( c_2Esorting_2ESTABLE @ A_27a ) @ ( arr @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) @ bool ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(ax_thm_2Esorting_2EPERM__DEF,axiom,
% 5.64/5.88 ! [A_27a: del,V0L1: $i] :
% 5.64/5.88 ( ( mem @ V0L1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.88 => ! [V1L2: $i] :
% 5.64/5.88 ( ( mem @ V1L2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.88 => ( ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V0L1 ) @ V1L2 ) )
% 5.64/5.88 <=> ! [V2x: $i] :
% 5.64/5.88 ( ( mem @ V2x @ A_27a )
% 5.64/5.88 => ( ( ap @ ( ap @ ( c_2Elist_2EFILTER @ A_27a ) @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V2x ) ) @ V0L1 )
% 5.64/5.88 = ( ap @ ( ap @ ( c_2Elist_2EFILTER @ A_27a ) @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V2x ) ) @ V1L2 ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Esorting_2EPERM__REFL,axiom,
% 5.64/5.88 ! [A_27a: del,V0L: $i] :
% 5.64/5.88 ( ( mem @ V0L @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.88 => ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V0L ) @ V0L ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Esorting_2EPERM__INTRO,axiom,
% 5.64/5.88 ! [A_27a: del,V0x: $i] :
% 5.64/5.88 ( ( mem @ V0x @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.88 => ! [V1y: $i] :
% 5.64/5.88 ( ( mem @ V1y @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.88 => ( ( V0x = V1y )
% 5.64/5.88 => ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V0x ) @ V1y ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Esorting_2EPERM__transitive,axiom,
% 5.64/5.88 ! [A_27a: del] : ( p @ ( ap @ ( c_2Erelation_2Etransitive @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( c_2Esorting_2EPERM @ A_27a ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Esorting_2EPERM__TRANS,axiom,
% 5.64/5.88 ! [A_27a: del,V0x: $i] :
% 5.64/5.88 ( ( mem @ V0x @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.88 => ! [V1y: $i] :
% 5.64/5.88 ( ( mem @ V1y @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.88 => ! [V2z: $i] :
% 5.64/5.88 ( ( mem @ V2z @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.88 => ( ( ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V0x ) @ V1y ) )
% 5.64/5.88 & ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V1y ) @ V2z ) ) )
% 5.64/5.88 => ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V0x ) @ V2z ) ) ) ) ) ) ).
% 5.64/5.88
% 5.64/5.88 thf(conj_thm_2Esorting_2EPERM__SYM,axiom,
% 5.64/5.88 ! [A_27a: del,V0l1: $i] :
% 5.64/5.88 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V1l2: $i] :
% 5.64/5.89 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V0l1 ) @ V1l2 ) )
% 5.64/5.89 <=> ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V1l2 ) @ V0l1 ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2EPERM__CONG,axiom,
% 5.64/5.89 ! [A_27a: del,V0L1: $i] :
% 5.64/5.89 ( ( mem @ V0L1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V1L2: $i] :
% 5.64/5.89 ( ( mem @ V1L2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V2L3: $i] :
% 5.64/5.89 ( ( mem @ V2L3 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V3L4: $i] :
% 5.64/5.89 ( ( mem @ V3L4 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V0L1 ) @ V2L3 ) )
% 5.64/5.89 & ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V1L2 ) @ V3L4 ) ) )
% 5.64/5.89 => ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V0L1 ) @ V1L2 ) ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V2L3 ) @ V3L4 ) ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2EPERM__MONO,axiom,
% 5.64/5.89 ! [A_27a: del,V0l1: $i] :
% 5.64/5.89 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V1l2: $i] :
% 5.64/5.89 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V2x: $i] :
% 5.64/5.89 ( ( mem @ V2x @ A_27a )
% 5.64/5.89 => ( ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V0l1 ) @ V1l2 ) )
% 5.64/5.89 => ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2x ) @ V0l1 ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2x ) @ V1l2 ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2EPERM__CONS__IFF,axiom,
% 5.64/5.89 ! [A_27a: del,V0x: $i] :
% 5.64/5.89 ( ( mem @ V0x @ A_27a )
% 5.64/5.89 => ! [V1l2: $i] :
% 5.64/5.89 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V2l1: $i] :
% 5.64/5.89 ( ( mem @ V2l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V0x ) @ V2l1 ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V0x ) @ V1l2 ) ) )
% 5.64/5.89 <=> ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V2l1 ) @ V1l2 ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2EPERM__NIL,axiom,
% 5.64/5.89 ! [A_27a: del,V0L: $i] :
% 5.64/5.89 ( ( mem @ V0L @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V0L ) @ ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.64/5.89 <=> ( V0L
% 5.64/5.89 = ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.64/5.89 & ( ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ ( c_2Elist_2ENIL @ A_27a ) ) @ V0L ) )
% 5.64/5.89 <=> ( V0L
% 5.64/5.89 = ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2EPERM__SING,axiom,
% 5.64/5.89 ! [A_27a: del,V0L: $i] :
% 5.64/5.89 ( ( mem @ V0L @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V1x: $i] :
% 5.64/5.89 ( ( mem @ V1x @ A_27a )
% 5.64/5.89 => ( ( ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V0L ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1x ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) )
% 5.64/5.89 <=> ( V0L
% 5.64/5.89 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1x ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) )
% 5.64/5.89 & ( ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1x ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) @ V0L ) )
% 5.64/5.89 <=> ( V0L
% 5.64/5.89 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1x ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2EPERM__CONS__EQ__APPEND,axiom,
% 5.64/5.89 ! [A_27a: del,V0t: $i] :
% 5.64/5.89 ( ( mem @ V0t @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V1L: $i] :
% 5.64/5.89 ( ( mem @ V1L @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V2h: $i] :
% 5.64/5.89 ( ( mem @ V2h @ A_27a )
% 5.64/5.89 => ( ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2h ) @ V0t ) ) @ V1L ) )
% 5.64/5.89 <=> ? [V3M: $i] :
% 5.64/5.89 ( ( mem @ V3M @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 & ? [V4N: $i] :
% 5.64/5.89 ( ( mem @ V4N @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 & ( V1L
% 5.64/5.89 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V3M ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2h ) @ V4N ) ) )
% 5.64/5.89 & ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V0t ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V3M ) @ V4N ) ) ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2EPERM__APPEND,axiom,
% 5.64/5.89 ! [A_27a: del,V0l1: $i] :
% 5.64/5.89 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V1l2: $i] :
% 5.64/5.89 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V0l1 ) @ V1l2 ) ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V1l2 ) @ V0l1 ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2ECONS__PERM,axiom,
% 5.64/5.89 ! [A_27a: del,V0x: $i] :
% 5.64/5.89 ( ( mem @ V0x @ A_27a )
% 5.64/5.89 => ! [V1L: $i] :
% 5.64/5.89 ( ( mem @ V1L @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V2M: $i] :
% 5.64/5.89 ( ( mem @ V2M @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V3N: $i] :
% 5.64/5.89 ( ( mem @ V3N @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V1L ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V2M ) @ V3N ) ) )
% 5.64/5.89 => ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V0x ) @ V1L ) ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V2M ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V0x ) @ V3N ) ) ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2EAPPEND__PERM__SYM,axiom,
% 5.64/5.89 ! [A_27a: del,V0A: $i] :
% 5.64/5.89 ( ( mem @ V0A @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V1B: $i] :
% 5.64/5.89 ( ( mem @ V1B @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V2C: $i] :
% 5.64/5.89 ( ( mem @ V2C @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V0A ) @ V1B ) ) @ V2C ) )
% 5.64/5.89 => ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V1B ) @ V0A ) ) @ V2C ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2EPERM__SPLIT__IF,axiom,
% 5.64/5.89 ! [A_27a: del,V0P: $i] :
% 5.64/5.89 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.64/5.89 => ! [V1Q: $i] :
% 5.64/5.89 ( ( mem @ V1Q @ ( arr @ A_27a @ bool ) )
% 5.64/5.89 => ! [V2l: $i] :
% 5.64/5.89 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( p
% 5.64/5.89 @ ( ap
% 5.64/5.89 @ ( ap @ ( c_2Elist_2EEVERY @ A_27a )
% 5.64/5.89 @ ( lam @ A_27a
% 5.64/5.89 @ ^ [V3x: $i] : ( ap @ ( ap @ ( c_2Emin_2E_3D @ bool ) @ ( ap @ V0P @ V3x ) ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V1Q @ V3x ) ) ) ) )
% 5.64/5.89 @ V2l ) )
% 5.64/5.89 => ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V2l ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EFILTER @ A_27a ) @ V0P ) @ V2l ) ) @ ( ap @ ( ap @ ( c_2Elist_2EFILTER @ A_27a ) @ V1Q ) @ V2l ) ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2EPERM__SPLIT,axiom,
% 5.64/5.89 ! [A_27a: del,V0P: $i] :
% 5.64/5.89 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.64/5.89 => ! [V1l: $i] :
% 5.64/5.89 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V1l ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EFILTER @ A_27a ) @ V0P ) @ V1l ) ) @ ( ap @ ( ap @ ( c_2Elist_2EFILTER @ A_27a ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27a @ bool @ bool ) @ c_2Ebool_2E_7E ) @ V0P ) ) @ V1l ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2EFILTER__EQ__REP,axiom,
% 5.64/5.89 ! [A_27a: del,V0x: $i] :
% 5.64/5.89 ( ( mem @ V0x @ A_27a )
% 5.64/5.89 => ! [V1l: $i] :
% 5.64/5.89 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( ap @ ( ap @ ( c_2Elist_2EFILTER @ A_27a ) @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V0x ) ) @ V1l )
% 5.64/5.89 = ( ap @ ( ap @ ( c_2Erich__list_2EREPLICATE @ A_27a ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EFILTER @ A_27a ) @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V0x ) ) @ V1l ) ) ) @ V0x ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2EFILTER__EQ__LENGTHS__EQ,axiom,
% 5.64/5.89 ! [A_27a: del,V0x: $i] :
% 5.64/5.89 ( ( mem @ V0x @ A_27a )
% 5.64/5.89 => ! [V1l1: $i] :
% 5.64/5.89 ( ( mem @ V1l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V2l2: $i] :
% 5.64/5.89 ( ( mem @ V2l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EFILTER @ A_27a ) @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V0x ) ) @ V1l1 ) ) )
% 5.64/5.89 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EFILTER @ A_27a ) @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V0x ) ) @ V2l2 ) ) ) )
% 5.64/5.89 => ( ( ap @ ( ap @ ( c_2Elist_2EFILTER @ A_27a ) @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V0x ) ) @ V1l1 )
% 5.64/5.89 = ( ap @ ( ap @ ( c_2Elist_2EFILTER @ A_27a ) @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V0x ) ) @ V2l2 ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2EPERM__alt,axiom,
% 5.64/5.89 ! [A_27a: del,V0L1: $i] :
% 5.64/5.89 ( ( mem @ V0L1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V1L2: $i] :
% 5.64/5.89 ( ( mem @ V1L2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V0L1 ) @ V1L2 ) )
% 5.64/5.89 <=> ! [V2x: $i] :
% 5.64/5.89 ( ( mem @ V2x @ A_27a )
% 5.64/5.89 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EFILTER @ A_27a ) @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V2x ) ) @ V0L1 ) ) )
% 5.64/5.89 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EFILTER @ A_27a ) @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V2x ) ) @ V1L2 ) ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2EPERM__IND,axiom,
% 5.64/5.89 ! [A_27a: del,V0P: $i] :
% 5.64/5.89 ( ( mem @ V0P @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ bool ) ) )
% 5.64/5.89 => ( ( ( p @ ( ap @ ( ap @ V0P @ ( c_2Elist_2ENIL @ A_27a ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.64/5.89 & ! [V1x: $i] :
% 5.64/5.89 ( ( mem @ V1x @ A_27a )
% 5.64/5.89 => ! [V2l1: $i] :
% 5.64/5.89 ( ( mem @ V2l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V3l2: $i] :
% 5.64/5.89 ( ( mem @ V3l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( p @ ( ap @ ( ap @ V0P @ V2l1 ) @ V3l2 ) )
% 5.64/5.89 => ( p @ ( ap @ ( ap @ V0P @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1x ) @ V2l1 ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1x ) @ V3l2 ) ) ) ) ) ) )
% 5.64/5.89 & ! [V4x: $i] :
% 5.64/5.89 ( ( mem @ V4x @ A_27a )
% 5.64/5.89 => ! [V5y: $i] :
% 5.64/5.89 ( ( mem @ V5y @ A_27a )
% 5.64/5.89 => ! [V6l1: $i] :
% 5.64/5.89 ( ( mem @ V6l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V7l2: $i] :
% 5.64/5.89 ( ( mem @ V7l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( p @ ( ap @ ( ap @ V0P @ V6l1 ) @ V7l2 ) )
% 5.64/5.89 => ( p @ ( ap @ ( ap @ V0P @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4x ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V5y ) @ V6l1 ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V5y ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4x ) @ V7l2 ) ) ) ) ) ) ) ) )
% 5.64/5.89 & ! [V8l1: $i] :
% 5.64/5.89 ( ( mem @ V8l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V9l2: $i] :
% 5.64/5.89 ( ( mem @ V9l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V10l3: $i] :
% 5.64/5.89 ( ( mem @ V10l3 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( ( p @ ( ap @ ( ap @ V0P @ V8l1 ) @ V9l2 ) )
% 5.64/5.89 & ( p @ ( ap @ ( ap @ V0P @ V9l2 ) @ V10l3 ) ) )
% 5.64/5.89 => ( p @ ( ap @ ( ap @ V0P @ V8l1 ) @ V10l3 ) ) ) ) ) ) )
% 5.64/5.89 => ! [V11l1: $i] :
% 5.64/5.89 ( ( mem @ V11l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V12l2: $i] :
% 5.64/5.89 ( ( mem @ V12l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V11l1 ) @ V12l2 ) )
% 5.64/5.89 => ( p @ ( ap @ ( ap @ V0P @ V11l1 ) @ V12l2 ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2EPERM__SWAP__AT__FRONT,axiom,
% 5.64/5.89 ! [A_27a: del,V0x: $i] :
% 5.64/5.89 ( ( mem @ V0x @ A_27a )
% 5.64/5.89 => ! [V1y: $i] :
% 5.64/5.89 ( ( mem @ V1y @ A_27a )
% 5.64/5.89 => ! [V2l1: $i] :
% 5.64/5.89 ( ( mem @ V2l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V3l2: $i] :
% 5.64/5.89 ( ( mem @ V3l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V0x ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1y ) @ V2l1 ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1y ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V0x ) @ V3l2 ) ) ) )
% 5.64/5.89 <=> ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V2l1 ) @ V3l2 ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2EPERM__SWAP__L__AT__FRONT,axiom,
% 5.64/5.89 ! [A_27a: del,V0l1: $i] :
% 5.64/5.89 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V1l2: $i] :
% 5.64/5.89 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V2x: $i] :
% 5.64/5.89 ( ( mem @ V2x @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V3y: $i] :
% 5.64/5.89 ( ( mem @ V3y @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V2x ) @ V3y ) ) @ V0l1 ) ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V3y ) @ V2x ) ) @ V1l2 ) ) )
% 5.64/5.89 <=> ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V0l1 ) @ V1l2 ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2EPERM__STRONG__IND,axiom,
% 5.64/5.89 ! [A_27a: del,V0P: $i] :
% 5.64/5.89 ( ( mem @ V0P @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ bool ) ) )
% 5.64/5.89 => ( ( ( p @ ( ap @ ( ap @ V0P @ ( c_2Elist_2ENIL @ A_27a ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.64/5.89 & ! [V1x: $i] :
% 5.64/5.89 ( ( mem @ V1x @ A_27a )
% 5.64/5.89 => ! [V2l1: $i] :
% 5.64/5.89 ( ( mem @ V2l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V3l2: $i] :
% 5.64/5.89 ( ( mem @ V3l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V2l1 ) @ V3l2 ) )
% 5.64/5.89 & ( p @ ( ap @ ( ap @ V0P @ V2l1 ) @ V3l2 ) ) )
% 5.64/5.89 => ( p @ ( ap @ ( ap @ V0P @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1x ) @ V2l1 ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1x ) @ V3l2 ) ) ) ) ) ) )
% 5.64/5.89 & ! [V4x: $i] :
% 5.64/5.89 ( ( mem @ V4x @ A_27a )
% 5.64/5.89 => ! [V5y: $i] :
% 5.64/5.89 ( ( mem @ V5y @ A_27a )
% 5.64/5.89 => ! [V6l1: $i] :
% 5.64/5.89 ( ( mem @ V6l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V7l2: $i] :
% 5.64/5.89 ( ( mem @ V7l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V6l1 ) @ V7l2 ) )
% 5.64/5.89 & ( p @ ( ap @ ( ap @ V0P @ V6l1 ) @ V7l2 ) ) )
% 5.64/5.89 => ( p @ ( ap @ ( ap @ V0P @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4x ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V5y ) @ V6l1 ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V5y ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4x ) @ V7l2 ) ) ) ) ) ) ) ) )
% 5.64/5.89 & ! [V8l1: $i] :
% 5.64/5.89 ( ( mem @ V8l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V9l2: $i] :
% 5.64/5.89 ( ( mem @ V9l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V10l3: $i] :
% 5.64/5.89 ( ( mem @ V10l3 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V8l1 ) @ V9l2 ) )
% 5.64/5.89 & ( p @ ( ap @ ( ap @ V0P @ V8l1 ) @ V9l2 ) )
% 5.64/5.89 & ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V9l2 ) @ V10l3 ) )
% 5.64/5.89 & ( p @ ( ap @ ( ap @ V0P @ V9l2 ) @ V10l3 ) ) )
% 5.64/5.89 => ( p @ ( ap @ ( ap @ V0P @ V8l1 ) @ V10l3 ) ) ) ) ) ) )
% 5.64/5.89 => ! [V11l1: $i] :
% 5.64/5.89 ( ( mem @ V11l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V12l2: $i] :
% 5.64/5.89 ( ( mem @ V12l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V11l1 ) @ V12l2 ) )
% 5.64/5.89 => ( p @ ( ap @ ( ap @ V0P @ V11l1 ) @ V12l2 ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2EPERM__LENGTH,axiom,
% 5.64/5.89 ! [A_27a: del,V0l1: $i] :
% 5.64/5.89 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V1l2: $i] :
% 5.64/5.89 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V0l1 ) @ V1l2 ) )
% 5.64/5.89 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l1 ) )
% 5.64/5.89 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l2 ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2EPERM__MEM__EQ,axiom,
% 5.64/5.89 ! [A_27a: del,V0l1: $i] :
% 5.64/5.89 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V1l2: $i] :
% 5.64/5.89 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V0l1 ) @ V1l2 ) )
% 5.64/5.89 => ! [V2x: $i] :
% 5.64/5.89 ( ( mem @ V2x @ A_27a )
% 5.64/5.89 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V0l1 ) ) )
% 5.64/5.89 <=> ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V1l2 ) ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2EPERM__LIST__TO__SET,axiom,
% 5.64/5.89 ! [A_27a: del,V0l1: $i] :
% 5.64/5.89 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V1l2: $i] :
% 5.64/5.89 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V0l1 ) @ V1l2 ) )
% 5.64/5.89 => ( ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V0l1 )
% 5.64/5.89 = ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V1l2 ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2ESORTED__IND,axiom,
% 5.64/5.89 ! [A_27a: del,V0P: $i] :
% 5.64/5.89 ( ( mem @ V0P @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ bool ) ) )
% 5.64/5.89 => ( ( ! [V1R: $i] :
% 5.64/5.89 ( ( mem @ V1R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.64/5.89 => ( p @ ( ap @ ( ap @ V0P @ V1R ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) )
% 5.64/5.89 & ! [V2R: $i] :
% 5.64/5.89 ( ( mem @ V2R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.64/5.89 => ! [V3x: $i] :
% 5.64/5.89 ( ( mem @ V3x @ A_27a )
% 5.64/5.89 => ( p @ ( ap @ ( ap @ V0P @ V2R ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3x ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) )
% 5.64/5.89 & ! [V4R: $i] :
% 5.64/5.89 ( ( mem @ V4R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.64/5.89 => ! [V5x: $i] :
% 5.64/5.89 ( ( mem @ V5x @ A_27a )
% 5.64/5.89 => ! [V6y: $i] :
% 5.64/5.89 ( ( mem @ V6y @ A_27a )
% 5.64/5.89 => ! [V7rst: $i] :
% 5.64/5.89 ( ( mem @ V7rst @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( p @ ( ap @ ( ap @ V0P @ V4R ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V6y ) @ V7rst ) ) )
% 5.64/5.89 => ( p @ ( ap @ ( ap @ V0P @ V4R ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V5x ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V6y ) @ V7rst ) ) ) ) ) ) ) ) ) )
% 5.64/5.89 => ! [V8v: $i] :
% 5.64/5.89 ( ( mem @ V8v @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.64/5.89 => ! [V9v1: $i] :
% 5.64/5.89 ( ( mem @ V9v1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( p @ ( ap @ ( ap @ V0P @ V8v ) @ V9v1 ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2ESORTED__DEF,axiom,
% 5.64/5.89 ! [A_27a: del] :
% 5.64/5.89 ( ! [V0R: $i] :
% 5.64/5.89 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.64/5.89 => ( ( p @ ( ap @ ( ap @ ( c_2Esorting_2ESORTED @ A_27a ) @ V0R ) @ ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.64/5.89 <=> $true ) )
% 5.64/5.89 & ! [V1x: $i] :
% 5.64/5.89 ( ( mem @ V1x @ A_27a )
% 5.64/5.89 => ! [V2R: $i] :
% 5.64/5.89 ( ( mem @ V2R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.64/5.89 => ( ( p @ ( ap @ ( ap @ ( c_2Esorting_2ESORTED @ A_27a ) @ V2R ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1x ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) )
% 5.64/5.89 <=> $true ) ) )
% 5.64/5.89 & ! [V3y: $i] :
% 5.64/5.89 ( ( mem @ V3y @ A_27a )
% 5.64/5.89 => ! [V4x: $i] :
% 5.64/5.89 ( ( mem @ V4x @ A_27a )
% 5.64/5.89 => ! [V5rst: $i] :
% 5.64/5.89 ( ( mem @ V5rst @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V6R: $i] :
% 5.64/5.89 ( ( mem @ V6R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.64/5.89 => ( ( p @ ( ap @ ( ap @ ( c_2Esorting_2ESORTED @ A_27a ) @ V6R ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4x ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3y ) @ V5rst ) ) ) )
% 5.64/5.89 <=> ( ( p @ ( ap @ ( ap @ V6R @ V4x ) @ V3y ) )
% 5.64/5.89 & ( p @ ( ap @ ( ap @ ( c_2Esorting_2ESORTED @ A_27a ) @ V6R ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3y ) @ V5rst ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(ax_thm_2Esorting_2ESORTS__DEF,axiom,
% 5.64/5.89 ! [A_27a: del,V0f: $i] :
% 5.64/5.89 ( ( mem @ V0f @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) ) )
% 5.64/5.89 => ! [V1R: $i] :
% 5.64/5.89 ( ( mem @ V1R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.64/5.89 => ( ( p @ ( ap @ ( ap @ ( c_2Esorting_2ESORTS @ A_27a ) @ V0f ) @ V1R ) )
% 5.64/5.89 <=> ! [V2l: $i] :
% 5.64/5.89 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V2l ) @ ( ap @ ( ap @ V0f @ V1R ) @ V2l ) ) )
% 5.64/5.89 & ( p @ ( ap @ ( ap @ ( c_2Esorting_2ESORTED @ A_27a ) @ V1R ) @ ( ap @ ( ap @ V0f @ V1R ) @ V2l ) ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2ESORTED__EQ,axiom,
% 5.64/5.89 ! [A_27a: del,V0R: $i] :
% 5.64/5.89 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.64/5.89 => ! [V1L: $i] :
% 5.64/5.89 ( ( mem @ V1L @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V2x: $i] :
% 5.64/5.89 ( ( mem @ V2x @ A_27a )
% 5.64/5.89 => ( ( p @ ( ap @ ( c_2Erelation_2Etransitive @ A_27a ) @ V0R ) )
% 5.64/5.89 => ( ( p @ ( ap @ ( ap @ ( c_2Esorting_2ESORTED @ A_27a ) @ V0R ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2x ) @ V1L ) ) )
% 5.64/5.89 <=> ( ( p @ ( ap @ ( ap @ ( c_2Esorting_2ESORTED @ A_27a ) @ V0R ) @ V1L ) )
% 5.64/5.89 & ! [V3y: $i] :
% 5.64/5.89 ( ( mem @ V3y @ A_27a )
% 5.64/5.89 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3y ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V1L ) ) )
% 5.64/5.89 => ( p @ ( ap @ ( ap @ V0R @ V2x ) @ V3y ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2ESORTED__APPEND,axiom,
% 5.64/5.89 ! [A_27a: del,V0R: $i] :
% 5.64/5.89 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.64/5.89 => ! [V1L1: $i] :
% 5.64/5.89 ( ( mem @ V1L1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V2L2: $i] :
% 5.64/5.89 ( ( mem @ V2L2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( ( p @ ( ap @ ( c_2Erelation_2Etransitive @ A_27a ) @ V0R ) )
% 5.64/5.89 & ( p @ ( ap @ ( ap @ ( c_2Esorting_2ESORTED @ A_27a ) @ V0R ) @ V1L1 ) )
% 5.64/5.89 & ( p @ ( ap @ ( ap @ ( c_2Esorting_2ESORTED @ A_27a ) @ V0R ) @ V2L2 ) )
% 5.64/5.89 & ! [V3x: $i] :
% 5.64/5.89 ( ( mem @ V3x @ A_27a )
% 5.64/5.89 => ! [V4y: $i] :
% 5.64/5.89 ( ( mem @ V4y @ A_27a )
% 5.64/5.89 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V1L1 ) ) )
% 5.64/5.89 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V4y ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V2L2 ) ) ) )
% 5.64/5.89 => ( p @ ( ap @ ( ap @ V0R @ V3x ) @ V4y ) ) ) ) ) )
% 5.64/5.89 => ( p @ ( ap @ ( ap @ ( c_2Esorting_2ESORTED @ A_27a ) @ V0R ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V1L1 ) @ V2L2 ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(ax_thm_2Esorting_2EPART__DEF,axiom,
% 5.64/5.89 ! [A_27a: del] :
% 5.64/5.89 ( ! [V0P: $i] :
% 5.64/5.89 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.64/5.89 => ! [V1l1: $i] :
% 5.64/5.89 ( ( mem @ V1l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V2l2: $i] :
% 5.64/5.89 ( ( mem @ V2l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Esorting_2EPART @ A_27a ) @ V0P ) @ ( c_2Elist_2ENIL @ A_27a ) ) @ V1l1 ) @ V2l2 )
% 5.64/5.89 = ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) @ V1l1 ) @ V2l2 ) ) ) ) )
% 5.64/5.89 & ! [V3P: $i] :
% 5.64/5.89 ( ( mem @ V3P @ ( arr @ A_27a @ bool ) )
% 5.64/5.89 => ! [V4h: $i] :
% 5.64/5.89 ( ( mem @ V4h @ A_27a )
% 5.64/5.89 => ! [V5rst: $i] :
% 5.64/5.89 ( ( mem @ V5rst @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V6l1: $i] :
% 5.64/5.89 ( ( mem @ V6l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V7l2: $i] :
% 5.64/5.89 ( ( mem @ V7l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Esorting_2EPART @ A_27a ) @ V3P ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4h ) @ V5rst ) ) @ V6l1 ) @ V7l2 )
% 5.64/5.89 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) ) @ ( ap @ V3P @ V4h ) ) @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Esorting_2EPART @ A_27a ) @ V3P ) @ V5rst ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4h ) @ V6l1 ) ) @ V7l2 ) ) @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Esorting_2EPART @ A_27a ) @ V3P ) @ V5rst ) @ V6l1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4h ) @ V7l2 ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2EPART__LENGTH,axiom,
% 5.64/5.89 ! [A_27a: del,V0P: $i] :
% 5.64/5.89 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.64/5.89 => ! [V1L: $i] :
% 5.64/5.89 ( ( mem @ V1L @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V2l1: $i] :
% 5.64/5.89 ( ( mem @ V2l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V3l2: $i] :
% 5.64/5.89 ( ( mem @ V3l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V4p: $i] :
% 5.64/5.89 ( ( mem @ V4p @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V5q: $i] :
% 5.64/5.89 ( ( mem @ V5q @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) @ V4p ) @ V5q )
% 5.64/5.89 = ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Esorting_2EPART @ A_27a ) @ V0P ) @ V1L ) @ V2l1 ) @ V3l2 ) )
% 5.64/5.89 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1L ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2l1 ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V3l2 ) ) )
% 5.64/5.89 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4p ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V5q ) ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2EPART__LENGTH__LEM,axiom,
% 5.64/5.89 ! [A_27a: del,V0P: $i] :
% 5.64/5.89 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.64/5.89 => ! [V1L: $i] :
% 5.64/5.89 ( ( mem @ V1L @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V2l1: $i] :
% 5.64/5.89 ( ( mem @ V2l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V3l2: $i] :
% 5.64/5.89 ( ( mem @ V3l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V4p: $i] :
% 5.64/5.89 ( ( mem @ V4p @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V5q: $i] :
% 5.64/5.89 ( ( mem @ V5q @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) @ V4p ) @ V5q )
% 5.64/5.89 = ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Esorting_2EPART @ A_27a ) @ V0P ) @ V1L ) @ V2l1 ) @ V3l2 ) )
% 5.64/5.89 => ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V4p ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1L ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2l1 ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V3l2 ) ) ) )
% 5.64/5.89 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V5q ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1L ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2l1 ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V3l2 ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2EPARTs__HAVE__PROP,axiom,
% 5.64/5.89 ! [A_27a: del,V0P: $i] :
% 5.64/5.89 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.64/5.89 => ! [V1L: $i] :
% 5.64/5.89 ( ( mem @ V1L @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V2A: $i] :
% 5.64/5.89 ( ( mem @ V2A @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V3B: $i] :
% 5.64/5.89 ( ( mem @ V3B @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V4l1: $i] :
% 5.64/5.89 ( ( mem @ V4l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V5l2: $i] :
% 5.64/5.89 ( ( mem @ V5l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( ( ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) @ V2A ) @ V3B )
% 5.64/5.89 = ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Esorting_2EPART @ A_27a ) @ V0P ) @ V1L ) @ V4l1 ) @ V5l2 ) )
% 5.64/5.89 & ! [V6x: $i] :
% 5.64/5.89 ( ( mem @ V6x @ A_27a )
% 5.64/5.89 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V6x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V4l1 ) ) )
% 5.64/5.89 => ( p @ ( ap @ V0P @ V6x ) ) ) )
% 5.64/5.89 & ! [V7x: $i] :
% 5.64/5.89 ( ( mem @ V7x @ A_27a )
% 5.64/5.89 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V7x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V5l2 ) ) )
% 5.64/5.89 => ~ ( p @ ( ap @ V0P @ V7x ) ) ) ) )
% 5.64/5.89 => ( ! [V8z: $i] :
% 5.64/5.89 ( ( mem @ V8z @ A_27a )
% 5.64/5.89 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V8z ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V2A ) ) )
% 5.64/5.89 => ( p @ ( ap @ V0P @ V8z ) ) ) )
% 5.64/5.89 & ! [V9z: $i] :
% 5.64/5.89 ( ( mem @ V9z @ A_27a )
% 5.64/5.89 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V9z ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V3B ) ) )
% 5.64/5.89 => ~ ( p @ ( ap @ V0P @ V9z ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2EPART__MEM,axiom,
% 5.64/5.89 ! [A_27a: del,V0P: $i] :
% 5.64/5.89 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.64/5.89 => ! [V1L: $i] :
% 5.64/5.89 ( ( mem @ V1L @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V2a1: $i] :
% 5.64/5.89 ( ( mem @ V2a1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V3a2: $i] :
% 5.64/5.89 ( ( mem @ V3a2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V4l1: $i] :
% 5.64/5.89 ( ( mem @ V4l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V5l2: $i] :
% 5.64/5.89 ( ( mem @ V5l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) @ V2a1 ) @ V3a2 )
% 5.64/5.89 = ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Esorting_2EPART @ A_27a ) @ V0P ) @ V1L ) @ V4l1 ) @ V5l2 ) )
% 5.64/5.89 => ! [V6x: $i] :
% 5.64/5.89 ( ( mem @ V6x @ A_27a )
% 5.64/5.89 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V6x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V1L ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V4l1 ) @ V5l2 ) ) ) ) )
% 5.64/5.89 <=> ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V6x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V2a1 ) @ V3a2 ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(ax_thm_2Esorting_2EPARTITION__DEF,axiom,
% 5.64/5.89 ! [A_27a: del,V0P: $i] :
% 5.64/5.89 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.64/5.89 => ! [V1l: $i] :
% 5.64/5.89 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( ap @ ( ap @ ( c_2Esorting_2EPARTITION @ A_27a ) @ V0P ) @ V1l )
% 5.64/5.89 = ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Esorting_2EPART @ A_27a ) @ V0P ) @ V1l ) @ ( c_2Elist_2ENIL @ A_27a ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2EQSORT__IND,axiom,
% 5.64/5.89 ! [A_27a: del,V0P: $i] :
% 5.64/5.89 ( ( mem @ V0P @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ bool ) ) )
% 5.64/5.89 => ( ( ! [V1ord: $i] :
% 5.64/5.89 ( ( mem @ V1ord @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.64/5.89 => ( p @ ( ap @ ( ap @ V0P @ V1ord ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) )
% 5.64/5.89 & ! [V2ord: $i] :
% 5.64/5.89 ( ( mem @ V2ord @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.64/5.89 => ! [V3h: $i] :
% 5.64/5.89 ( ( mem @ V3h @ A_27a )
% 5.64/5.89 => ! [V4t: $i] :
% 5.64/5.89 ( ( mem @ V4t @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( ! [V5l1: $i] :
% 5.64/5.89 ( ( mem @ V5l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V6l2: $i] :
% 5.64/5.89 ( ( mem @ V6l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) @ V5l1 ) @ V6l2 )
% 5.64/5.89 = ( ap
% 5.64/5.89 @ ( ap @ ( c_2Esorting_2EPARTITION @ A_27a )
% 5.64/5.89 @ ( lam @ A_27a
% 5.64/5.89 @ ^ [V7y: $i] : ( ap @ ( ap @ V2ord @ V7y ) @ V3h ) ) )
% 5.64/5.89 @ V4t ) )
% 5.64/5.89 => ( p @ ( ap @ ( ap @ V0P @ V2ord ) @ V6l2 ) ) ) ) )
% 5.64/5.89 & ! [V8l1: $i] :
% 5.64/5.89 ( ( mem @ V8l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V9l2: $i] :
% 5.64/5.89 ( ( mem @ V9l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) @ V8l1 ) @ V9l2 )
% 5.64/5.89 = ( ap
% 5.64/5.89 @ ( ap @ ( c_2Esorting_2EPARTITION @ A_27a )
% 5.64/5.89 @ ( lam @ A_27a
% 5.64/5.89 @ ^ [V10y: $i] : ( ap @ ( ap @ V2ord @ V10y ) @ V3h ) ) )
% 5.64/5.89 @ V4t ) )
% 5.64/5.89 => ( p @ ( ap @ ( ap @ V0P @ V2ord ) @ V8l1 ) ) ) ) ) )
% 5.64/5.89 => ( p @ ( ap @ ( ap @ V0P @ V2ord ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3h ) @ V4t ) ) ) ) ) ) ) )
% 5.64/5.89 => ! [V11v: $i] :
% 5.64/5.89 ( ( mem @ V11v @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.64/5.89 => ! [V12v1: $i] :
% 5.64/5.89 ( ( mem @ V12v1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( p @ ( ap @ ( ap @ V0P @ V11v ) @ V12v1 ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2EQSORT__DEF,axiom,
% 5.64/5.89 ! [A_27a: del] :
% 5.64/5.89 ( ! [V0ord: $i] :
% 5.64/5.89 ( ( mem @ V0ord @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.64/5.89 => ( ( ap @ ( ap @ ( c_2Esorting_2EQSORT @ A_27a ) @ V0ord ) @ ( c_2Elist_2ENIL @ A_27a ) )
% 5.64/5.89 = ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.64/5.89 & ! [V1t: $i] :
% 5.64/5.89 ( ( mem @ V1t @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V2ord: $i] :
% 5.64/5.89 ( ( mem @ V2ord @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.64/5.89 => ! [V3h: $i] :
% 5.64/5.89 ( ( mem @ V3h @ A_27a )
% 5.64/5.89 => ( ( ap @ ( ap @ ( c_2Esorting_2EQSORT @ A_27a ) @ V2ord ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3h ) @ V1t ) )
% 5.64/5.89 = ( ap
% 5.64/5.89 @ ( ap @ ( c_2Ebool_2ELET @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 @ ( ap @ ( c_2Epair_2EUNCURRY @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 @ ( lam @ ( ty_2Elist_2Elist @ A_27a )
% 5.64/5.89 @ ^ [V4l1: $i] :
% 5.64/5.89 ( lam @ ( ty_2Elist_2Elist @ A_27a )
% 5.64/5.89 @ ^ [V5l2: $i] : ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ ( ap @ ( ap @ ( c_2Esorting_2EQSORT @ A_27a ) @ V2ord ) @ V4l1 ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3h ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) @ ( ap @ ( ap @ ( c_2Esorting_2EQSORT @ A_27a ) @ V2ord ) @ V5l2 ) ) ) ) ) )
% 5.64/5.89 @ ( ap
% 5.64/5.89 @ ( ap @ ( c_2Esorting_2EPARTITION @ A_27a )
% 5.64/5.89 @ ( lam @ A_27a
% 5.64/5.89 @ ^ [V6y: $i] : ( ap @ ( ap @ V2ord @ V6y ) @ V3h ) ) )
% 5.64/5.89 @ V1t ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2EQSORT__MEM,axiom,
% 5.64/5.89 ! [A_27a: del,V0R: $i] :
% 5.64/5.89 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.64/5.89 => ! [V1L: $i] :
% 5.64/5.89 ( ( mem @ V1L @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V2x: $i] :
% 5.64/5.89 ( ( mem @ V2x @ A_27a )
% 5.64/5.89 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ ( ap @ ( ap @ ( c_2Esorting_2EQSORT @ A_27a ) @ V0R ) @ V1L ) ) ) )
% 5.64/5.89 <=> ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V1L ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2EQSORT__PERM,axiom,
% 5.64/5.89 ! [A_27a: del,V0R: $i] :
% 5.64/5.89 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.64/5.89 => ! [V1L: $i] :
% 5.64/5.89 ( ( mem @ V1L @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V1L ) @ ( ap @ ( ap @ ( c_2Esorting_2EQSORT @ A_27a ) @ V0R ) @ V1L ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2EQSORT__SORTED,axiom,
% 5.64/5.89 ! [A_27a: del,V0R: $i] :
% 5.64/5.89 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.64/5.89 => ! [V1L: $i] :
% 5.64/5.89 ( ( mem @ V1L @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( ( p @ ( ap @ ( c_2Erelation_2Etransitive @ A_27a ) @ V0R ) )
% 5.64/5.89 & ( p @ ( ap @ ( c_2Erelation_2Etotal @ A_27a ) @ V0R ) ) )
% 5.64/5.89 => ( p @ ( ap @ ( ap @ ( c_2Esorting_2ESORTED @ A_27a ) @ V0R ) @ ( ap @ ( ap @ ( c_2Esorting_2EQSORT @ A_27a ) @ V0R ) @ V1L ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2EQSORT__SORTS,axiom,
% 5.64/5.89 ! [A_27a: del,V0R: $i] :
% 5.64/5.89 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.64/5.89 => ( ( ( p @ ( ap @ ( c_2Erelation_2Etransitive @ A_27a ) @ V0R ) )
% 5.64/5.89 & ( p @ ( ap @ ( c_2Erelation_2Etotal @ A_27a ) @ V0R ) ) )
% 5.64/5.89 => ( p @ ( ap @ ( ap @ ( c_2Esorting_2ESORTS @ A_27a ) @ ( c_2Esorting_2EQSORT @ A_27a ) ) @ V0R ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2EPERM__APPEND__IFF,axiom,
% 5.64/5.89 ! [A_27a: del] :
% 5.64/5.89 ( ! [V0l: $i] :
% 5.64/5.89 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V1l1: $i] :
% 5.64/5.89 ( ( mem @ V1l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V2l2: $i] :
% 5.64/5.89 ( ( mem @ V2l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V0l ) @ V1l1 ) ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V0l ) @ V2l2 ) ) )
% 5.64/5.89 <=> ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V1l1 ) @ V2l2 ) ) ) ) ) )
% 5.64/5.89 & ! [V3l: $i] :
% 5.64/5.89 ( ( mem @ V3l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V4l1: $i] :
% 5.64/5.89 ( ( mem @ V4l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V5l2: $i] :
% 5.64/5.89 ( ( mem @ V5l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V4l1 ) @ V3l ) ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V5l2 ) @ V3l ) ) )
% 5.64/5.89 <=> ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V4l1 ) @ V5l2 ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(ax_thm_2Esorting_2EPERM__SINGLE__SWAP__DEF,axiom,
% 5.64/5.89 ! [A_27a: del,V0l1: $i] :
% 5.64/5.89 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V1l2: $i] :
% 5.64/5.89 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM__SINGLE__SWAP @ A_27a ) @ V0l1 ) @ V1l2 ) )
% 5.64/5.89 <=> ? [V2x1: $i] :
% 5.64/5.89 ( ( mem @ V2x1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 & ? [V3x2: $i] :
% 5.64/5.89 ( ( mem @ V3x2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 & ? [V4x3: $i] :
% 5.64/5.89 ( ( mem @ V4x3 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 & ( V0l1
% 5.64/5.89 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V2x1 ) @ V3x2 ) ) @ V4x3 ) )
% 5.64/5.89 & ( V1l2
% 5.64/5.89 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V2x1 ) @ V4x3 ) ) @ V3x2 ) ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2EPERM__SINGLE__SWAP__SYM,axiom,
% 5.64/5.89 ! [A_27a: del,V0l1: $i] :
% 5.64/5.89 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V1l2: $i] :
% 5.64/5.89 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM__SINGLE__SWAP @ A_27a ) @ V0l1 ) @ V1l2 ) )
% 5.64/5.89 <=> ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM__SINGLE__SWAP @ A_27a ) @ V1l2 ) @ V0l1 ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2EPERM__SINGLE__SWAP__I,axiom,
% 5.64/5.89 ! [A_27a: del,V0x1: $i] :
% 5.64/5.89 ( ( mem @ V0x1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V1x2: $i] :
% 5.64/5.89 ( ( mem @ V1x2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V2x3: $i] :
% 5.64/5.89 ( ( mem @ V2x3 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM__SINGLE__SWAP @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V0x1 ) @ V1x2 ) ) @ V2x3 ) ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V0x1 ) @ V2x3 ) ) @ V1x2 ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2EPERM__SINGLE__SWAP__APPEND,axiom,
% 5.64/5.89 ! [A_27a: del,V0x2: $i] :
% 5.64/5.89 ( ( mem @ V0x2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V1x3: $i] :
% 5.64/5.89 ( ( mem @ V1x3 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM__SINGLE__SWAP @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V0x2 ) @ V1x3 ) ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V1x3 ) @ V0x2 ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2EPERM__SINGLE__SWAP__REFL,axiom,
% 5.64/5.89 ! [A_27a: del,V0l: $i] :
% 5.64/5.89 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM__SINGLE__SWAP @ A_27a ) @ V0l ) @ V0l ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2EPERM__SINGLE__SWAP__CONS,axiom,
% 5.64/5.89 ! [A_27a: del,V0M: $i] :
% 5.64/5.89 ( ( mem @ V0M @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V1N: $i] :
% 5.64/5.89 ( ( mem @ V1N @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V2x: $i] :
% 5.64/5.89 ( ( mem @ V2x @ A_27a )
% 5.64/5.89 => ( ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM__SINGLE__SWAP @ A_27a ) @ V0M ) @ V1N ) )
% 5.64/5.89 => ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM__SINGLE__SWAP @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2x ) @ V0M ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2x ) @ V1N ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2EPERM__SINGLE__SWAP__TC__CONS,axiom,
% 5.64/5.89 ! [A_27a: del,V0x: $i] :
% 5.64/5.89 ( ( mem @ V0x @ A_27a )
% 5.64/5.89 => ! [V1M: $i] :
% 5.64/5.89 ( ( mem @ V1M @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V2N: $i] :
% 5.64/5.89 ( ( mem @ V2N @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ETC @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( c_2Esorting_2EPERM__SINGLE__SWAP @ A_27a ) ) @ V1M ) @ V2N ) )
% 5.64/5.89 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Erelation_2ETC @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( c_2Esorting_2EPERM__SINGLE__SWAP @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V0x ) @ V1M ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V0x ) @ V2N ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2EPERM__TC,axiom,
% 5.64/5.89 ! [A_27a: del] :
% 5.64/5.89 ( ( c_2Esorting_2EPERM @ A_27a )
% 5.64/5.89 = ( ap @ ( c_2Erelation_2ETC @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( c_2Esorting_2EPERM__SINGLE__SWAP @ A_27a ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2EPERM__RTC,axiom,
% 5.64/5.89 ! [A_27a: del] :
% 5.64/5.89 ( ( c_2Esorting_2EPERM @ A_27a )
% 5.64/5.89 = ( ap @ ( c_2Erelation_2ERTC @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( c_2Esorting_2EPERM__SINGLE__SWAP @ A_27a ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2EPERM__EQC,axiom,
% 5.64/5.89 ! [A_27a: del] :
% 5.64/5.89 ( ( c_2Esorting_2EPERM @ A_27a )
% 5.64/5.89 = ( ap @ ( c_2Erelation_2EEQC @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( c_2Esorting_2EPERM__SINGLE__SWAP @ A_27a ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2EPERM__lifts__transitive__relations,axiom,
% 5.64/5.89 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.64/5.89 ( ( mem @ V0f @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ A_27b ) )
% 5.64/5.89 => ! [V1Q: $i] :
% 5.64/5.89 ( ( mem @ V1Q @ ( arr @ A_27b @ ( arr @ A_27b @ bool ) ) )
% 5.64/5.89 => ( ( ! [V2x1: $i] :
% 5.64/5.89 ( ( mem @ V2x1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V3x2: $i] :
% 5.64/5.89 ( ( mem @ V3x2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V4x3: $i] :
% 5.64/5.89 ( ( mem @ V4x3 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( p @ ( ap @ ( ap @ V1Q @ ( ap @ V0f @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V2x1 ) @ V3x2 ) ) @ V4x3 ) ) ) @ ( ap @ V0f @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V2x1 ) @ V4x3 ) ) @ V3x2 ) ) ) ) ) ) )
% 5.64/5.89 & ( p @ ( ap @ ( c_2Erelation_2Etransitive @ A_27b ) @ V1Q ) ) )
% 5.64/5.89 => ! [V5x: $i] :
% 5.64/5.89 ( ( mem @ V5x @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V6y: $i] :
% 5.64/5.89 ( ( mem @ V6y @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V5x ) @ V6y ) )
% 5.64/5.89 => ( p @ ( ap @ ( ap @ V1Q @ ( ap @ V0f @ V5x ) ) @ ( ap @ V0f @ V6y ) ) ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2EPERM__lifts__equalities,axiom,
% 5.64/5.89 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.64/5.89 ( ( mem @ V0f @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ A_27b ) )
% 5.64/5.89 => ( ! [V1x1: $i] :
% 5.64/5.89 ( ( mem @ V1x1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V2x2: $i] :
% 5.64/5.89 ( ( mem @ V2x2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V3x3: $i] :
% 5.64/5.89 ( ( mem @ V3x3 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( ap @ V0f @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V1x1 ) @ V2x2 ) ) @ V3x3 ) )
% 5.64/5.89 = ( ap @ V0f @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V1x1 ) @ V3x3 ) ) @ V2x2 ) ) ) ) ) )
% 5.64/5.89 => ! [V4x: $i] :
% 5.64/5.89 ( ( mem @ V4x @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V5y: $i] :
% 5.64/5.89 ( ( mem @ V5y @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V4x ) @ V5y ) )
% 5.64/5.89 => ( ( ap @ V0f @ V4x )
% 5.64/5.89 = ( ap @ V0f @ V5y ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2EPERM__lifts__invariants,axiom,
% 5.64/5.89 ! [A_27a: del,V0P: $i] :
% 5.64/5.89 ( ( mem @ V0P @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ bool ) )
% 5.64/5.89 => ( ! [V1x1: $i] :
% 5.64/5.89 ( ( mem @ V1x1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V2x2: $i] :
% 5.64/5.89 ( ( mem @ V2x2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V3x3: $i] :
% 5.64/5.89 ( ( mem @ V3x3 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( p @ ( ap @ V0P @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V1x1 ) @ V2x2 ) ) @ V3x3 ) ) )
% 5.64/5.89 => ( p @ ( ap @ V0P @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V1x1 ) @ V3x3 ) ) @ V2x2 ) ) ) ) ) ) )
% 5.64/5.89 => ! [V4x: $i] :
% 5.64/5.89 ( ( mem @ V4x @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V5y: $i] :
% 5.64/5.89 ( ( mem @ V5y @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( ( p @ ( ap @ V0P @ V4x ) )
% 5.64/5.89 & ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V4x ) @ V5y ) ) )
% 5.64/5.89 => ( p @ ( ap @ V0P @ V5y ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2EPERM__lifts__monotonicities,axiom,
% 5.64/5.89 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.64/5.89 ( ( mem @ V0f @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27b ) ) )
% 5.64/5.89 => ( ! [V1x1: $i] :
% 5.64/5.89 ( ( mem @ V1x1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V2x2: $i] :
% 5.64/5.89 ( ( mem @ V2x2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V3x3: $i] :
% 5.64/5.89 ( ( mem @ V3x3 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ? [V4x1_27: $i] :
% 5.64/5.89 ( ( mem @ V4x1_27 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.64/5.89 & ? [V5x2_27: $i] :
% 5.64/5.89 ( ( mem @ V5x2_27 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.64/5.89 & ? [V6x3_27: $i] :
% 5.64/5.89 ( ( mem @ V6x3_27 @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.64/5.89 & ( ( ap @ V0f @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V1x1 ) @ V2x2 ) ) @ V3x3 ) )
% 5.64/5.89 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27b ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27b ) @ V4x1_27 ) @ V5x2_27 ) ) @ V6x3_27 ) )
% 5.64/5.89 & ( ( ap @ V0f @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V1x1 ) @ V3x3 ) ) @ V2x2 ) )
% 5.64/5.89 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27b ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27b ) @ V4x1_27 ) @ V6x3_27 ) ) @ V5x2_27 ) ) ) ) ) ) ) )
% 5.64/5.89 => ! [V7x: $i] :
% 5.64/5.89 ( ( mem @ V7x @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V8y: $i] :
% 5.64/5.89 ( ( mem @ V8y @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V7x ) @ V8y ) )
% 5.64/5.89 => ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27b ) @ ( ap @ V0f @ V7x ) ) @ ( ap @ V0f @ V8y ) ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2EPERM__EQUIVALENCE,axiom,
% 5.64/5.89 ! [A_27a: del] : ( p @ ( ap @ ( c_2Erelation_2Eequivalence @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( c_2Esorting_2EPERM @ A_27a ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2EPERM__EQUIVALENCE__ALT__DEF,axiom,
% 5.64/5.89 ! [A_27a: del,V0x: $i] :
% 5.64/5.89 ( ( mem @ V0x @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V1y: $i] :
% 5.64/5.89 ( ( mem @ V1y @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V0x ) @ V1y ) )
% 5.64/5.89 <=> ( ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V0x )
% 5.64/5.89 = ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V1y ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2EALL__DISTINCT__PERM,axiom,
% 5.64/5.89 ! [A_27a: del,V0l1: $i] :
% 5.64/5.89 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V1l2: $i] :
% 5.64/5.89 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V0l1 ) @ V1l2 ) )
% 5.64/5.89 => ( ( p @ ( ap @ ( c_2Elist_2EALL__DISTINCT @ A_27a ) @ V0l1 ) )
% 5.64/5.89 <=> ( p @ ( ap @ ( c_2Elist_2EALL__DISTINCT @ A_27a ) @ V1l2 ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2EPERM__ALL__DISTINCT,axiom,
% 5.64/5.89 ! [A_27a: del,V0l1: $i] :
% 5.64/5.89 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V1l2: $i] :
% 5.64/5.89 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( ( p @ ( ap @ ( c_2Elist_2EALL__DISTINCT @ A_27a ) @ V0l1 ) )
% 5.64/5.89 & ( p @ ( ap @ ( c_2Elist_2EALL__DISTINCT @ A_27a ) @ V1l2 ) )
% 5.64/5.89 & ! [V2x: $i] :
% 5.64/5.89 ( ( mem @ V2x @ A_27a )
% 5.64/5.89 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V0l1 ) ) )
% 5.64/5.89 <=> ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V1l2 ) ) ) ) ) )
% 5.64/5.89 => ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V0l1 ) @ V1l2 ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2EALL__DISTINCT__PERM__LIST__TO__SET__TO__LIST,axiom,
% 5.64/5.89 ! [A_27a: del,V0ls: $i] :
% 5.64/5.89 ( ( mem @ V0ls @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( p @ ( ap @ ( c_2Elist_2EALL__DISTINCT @ A_27a ) @ V0ls ) )
% 5.64/5.89 <=> ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V0ls ) @ ( ap @ ( c_2Elist_2ESET__TO__LIST @ A_27a ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V0ls ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2EPERM__MAP,axiom,
% 5.64/5.89 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.64/5.89 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.64/5.89 => ! [V1l1: $i] :
% 5.64/5.89 ( ( mem @ V1l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V2l2: $i] :
% 5.64/5.89 ( ( mem @ V2l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V1l1 ) @ V2l2 ) )
% 5.64/5.89 => ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27b ) @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27a @ A_27b ) @ V0f ) @ V1l1 ) ) @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27a @ A_27b ) @ V0f ) @ V2l2 ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2EPERM__SUM,axiom,
% 5.64/5.89 ! [V0l1: tp__c_ty_2Elist_2Elist_ty_2Enum_2Enum,V1l2: tp__c_ty_2Elist_2Elist_ty_2Enum_2Enum] :
% 5.64/5.89 ( ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ ty_2Enum_2Enum ) @ ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ V0l1 ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ V1l2 ) ) )
% 5.64/5.89 => ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Elist_2ESUM @ ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ V0l1 ) ) )
% 5.64/5.89 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Elist_2ESUM @ ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ V1l2 ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2EPERM__FILTER,axiom,
% 5.64/5.89 ! [A_27a: del,V0P: $i] :
% 5.64/5.89 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.64/5.89 => ! [V1l1: $i] :
% 5.64/5.89 ( ( mem @ V1l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V2l2: $i] :
% 5.64/5.89 ( ( mem @ V2l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V1l1 ) @ V2l2 ) )
% 5.64/5.89 => ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EFILTER @ A_27a ) @ V0P ) @ V1l1 ) ) @ ( ap @ ( ap @ ( c_2Elist_2EFILTER @ A_27a ) @ V0P ) @ V2l2 ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2EPERM__REVERSE,axiom,
% 5.64/5.89 ! [A_27a: del,V0ls: $i] :
% 5.64/5.89 ( ( mem @ V0ls @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V0ls ) @ ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ V0ls ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2EPERM__REVERSE__EQ,axiom,
% 5.64/5.89 ! [A_27a: del,V0l1: $i] :
% 5.64/5.89 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V1l2: $i] :
% 5.64/5.89 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ V0l1 ) ) @ V1l2 ) )
% 5.64/5.89 <=> ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V0l1 ) @ V1l2 ) ) )
% 5.64/5.89 & ( ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V0l1 ) @ ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ V1l2 ) ) )
% 5.64/5.89 <=> ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V0l1 ) @ V1l2 ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2EFOLDR__PERM,axiom,
% 5.64/5.89 ! [A_27a: del,V0f: $i] :
% 5.64/5.89 ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.64/5.89 => ! [V1l1: $i] :
% 5.64/5.89 ( ( mem @ V1l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V2l2: $i] :
% 5.64/5.89 ( ( mem @ V2l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V3e: $i] :
% 5.64/5.89 ( ( mem @ V3e @ A_27a )
% 5.64/5.89 => ( ( ( p @ ( ap @ ( c_2Ecombin_2EASSOC @ A_27a ) @ V0f ) )
% 5.64/5.89 & ( p @ ( ap @ ( c_2Ecombin_2ECOMM @ A_27a @ A_27a ) @ V0f ) ) )
% 5.64/5.89 => ( ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V1l1 ) @ V2l2 ) )
% 5.64/5.89 => ( ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDR @ A_27a @ A_27a ) @ V0f ) @ V3e ) @ V1l1 )
% 5.64/5.89 = ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDR @ A_27a @ A_27a ) @ V0f ) @ V3e ) @ V2l2 ) ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2EPERM__SET__TO__LIST__count__COUNT__LIST,axiom,
% 5.64/5.89 ! [V0n: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ ty_2Enum_2Enum ) @ ( ap @ ( c_2Elist_2ESET__TO__LIST @ ty_2Enum_2Enum ) @ ( ap @ c_2Epred__set_2Ecount @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) @ ( ap @ c_2Erich__list_2ECOUNT__LIST @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2ESUM__IMAGE__count__SUM__GENLIST,axiom,
% 5.64/5.89 ! [V0f: $i] :
% 5.64/5.89 ( ( mem @ V0f @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.64/5.89 => ! [V1n: tp__ty_2Enum_2Enum] :
% 5.64/5.89 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( c_2Epred__set_2ESUM__IMAGE @ ty_2Enum_2Enum ) @ V0f ) @ ( ap @ c_2Epred__set_2Ecount @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.64/5.89 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Elist_2ESUM @ ( ap @ ( ap @ ( c_2Elist_2EGENLIST @ ty_2Enum_2Enum ) @ V0f ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2ESUM__IMAGE__count__MULT,axiom,
% 5.64/5.89 ! [V0n: tp__ty_2Enum_2Enum,V1g: $i] :
% 5.64/5.89 ( ( mem @ V1g @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.64/5.89 => ! [V2f: $i] :
% 5.64/5.89 ( ( mem @ V2f @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.64/5.89 => ! [V3k: tp__ty_2Enum_2Enum] :
% 5.64/5.89 ( ! [V4m: tp__ty_2Enum_2Enum] :
% 5.64/5.89 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V4m ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.64/5.89 => ( ( surj__ty_2Enum_2Enum @ ( ap @ V1g @ ( inj__ty_2Enum_2Enum @ V4m ) ) )
% 5.64/5.89 = ( surj__ty_2Enum_2Enum
% 5.64/5.89 @ ( ap
% 5.64/5.89 @ ( ap @ ( c_2Epred__set_2ESUM__IMAGE @ ty_2Enum_2Enum )
% 5.64/5.89 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.89 @ ^ [V5x: $i] : ( ap @ V2f @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ V5x ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V3k ) ) @ ( inj__ty_2Enum_2Enum @ V4m ) ) ) ) ) )
% 5.64/5.89 @ ( ap @ c_2Epred__set_2Ecount @ ( inj__ty_2Enum_2Enum @ V3k ) ) ) ) ) )
% 5.64/5.89 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( c_2Epred__set_2ESUM__IMAGE @ ty_2Enum_2Enum ) @ V2f ) @ ( ap @ c_2Epred__set_2Ecount @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V3k ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) )
% 5.64/5.89 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( c_2Epred__set_2ESUM__IMAGE @ ty_2Enum_2Enum ) @ V1g ) @ ( ap @ c_2Epred__set_2Ecount @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2Esum__of__sums,axiom,
% 5.64/5.89 ! [V0f: $i] :
% 5.64/5.89 ( ( mem @ V0f @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) )
% 5.64/5.89 => ! [V1a: tp__ty_2Enum_2Enum,V2b: tp__ty_2Enum_2Enum] :
% 5.64/5.89 ( ( surj__ty_2Enum_2Enum
% 5.64/5.89 @ ( ap
% 5.64/5.89 @ ( ap @ ( c_2Epred__set_2ESUM__IMAGE @ ty_2Enum_2Enum )
% 5.64/5.89 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.89 @ ^ [V3m: $i] : ( ap @ ( ap @ ( c_2Epred__set_2ESUM__IMAGE @ ty_2Enum_2Enum ) @ ( ap @ V0f @ V3m ) ) @ ( ap @ c_2Epred__set_2Ecount @ ( inj__ty_2Enum_2Enum @ V1a ) ) ) ) )
% 5.64/5.89 @ ( ap @ c_2Epred__set_2Ecount @ ( inj__ty_2Enum_2Enum @ V2b ) ) ) )
% 5.64/5.89 = ( surj__ty_2Enum_2Enum
% 5.64/5.89 @ ( ap
% 5.64/5.89 @ ( ap @ ( c_2Epred__set_2ESUM__IMAGE @ ty_2Enum_2Enum )
% 5.64/5.89 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.89 @ ^ [V4m: $i] : ( ap @ ( ap @ V0f @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ V4m ) @ ( inj__ty_2Enum_2Enum @ V1a ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ V4m ) @ ( inj__ty_2Enum_2Enum @ V1a ) ) ) ) )
% 5.64/5.89 @ ( ap @ c_2Epred__set_2Ecount @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V1a ) ) @ ( inj__ty_2Enum_2Enum @ V2b ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2ESORTED__NIL,axiom,
% 5.64/5.89 ! [A_27a: del,V0R: $i] :
% 5.64/5.89 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.64/5.89 => ( p @ ( ap @ ( ap @ ( c_2Esorting_2ESORTED @ A_27a ) @ V0R ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2ESORTED__SING,axiom,
% 5.64/5.89 ! [A_27a: del,V0R: $i] :
% 5.64/5.89 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.64/5.89 => ! [V1x: $i] :
% 5.64/5.89 ( ( mem @ V1x @ A_27a )
% 5.64/5.89 => ( p @ ( ap @ ( ap @ ( c_2Esorting_2ESORTED @ A_27a ) @ V0R ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1x ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2ESORTED__TL,axiom,
% 5.64/5.89 ! [A_27a: del,V0R: $i] :
% 5.64/5.89 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.64/5.89 => ! [V1x: $i] :
% 5.64/5.89 ( ( mem @ V1x @ A_27a )
% 5.64/5.89 => ! [V2xs: $i] :
% 5.64/5.89 ( ( mem @ V2xs @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( p @ ( ap @ ( ap @ ( c_2Esorting_2ESORTED @ A_27a ) @ V0R ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1x ) @ V2xs ) ) )
% 5.64/5.89 => ( p @ ( ap @ ( ap @ ( c_2Esorting_2ESORTED @ A_27a ) @ V0R ) @ V2xs ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2ESORTED__EL__SUC,axiom,
% 5.64/5.89 ! [A_27a: del,V0R: $i] :
% 5.64/5.89 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.64/5.89 => ! [V1ls: $i] :
% 5.64/5.89 ( ( mem @ V1ls @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( p @ ( ap @ ( ap @ ( c_2Esorting_2ESORTED @ A_27a ) @ V0R ) @ V1ls ) )
% 5.64/5.89 <=> ! [V2n: tp__ty_2Enum_2Enum] :
% 5.64/5.89 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1ls ) ) )
% 5.64/5.89 => ( p @ ( ap @ ( ap @ V0R @ ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ V1ls ) ) @ ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) @ V1ls ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2ESORTED__EL__LESS,axiom,
% 5.64/5.89 ! [A_27a: del,V0R: $i] :
% 5.64/5.89 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.64/5.89 => ( ( p @ ( ap @ ( c_2Erelation_2Etransitive @ A_27a ) @ V0R ) )
% 5.64/5.89 => ! [V1ls: $i] :
% 5.64/5.89 ( ( mem @ V1ls @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( p @ ( ap @ ( ap @ ( c_2Esorting_2ESORTED @ A_27a ) @ V0R ) @ V1ls ) )
% 5.64/5.89 <=> ! [V2m: tp__ty_2Enum_2Enum,V3n: tp__ty_2Enum_2Enum] :
% 5.64/5.89 ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V2m ) ) @ ( inj__ty_2Enum_2Enum @ V3n ) ) )
% 5.64/5.89 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V3n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1ls ) ) ) )
% 5.64/5.89 => ( p @ ( ap @ ( ap @ V0R @ ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V2m ) ) @ V1ls ) ) @ ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V3n ) ) @ V1ls ) ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2ESORTED__APPEND__IFF,axiom,
% 5.64/5.89 ! [A_27a: del,V0R: $i] :
% 5.64/5.89 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.64/5.89 => ! [V1L1: $i] :
% 5.64/5.89 ( ( mem @ V1L1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V2L2: $i] :
% 5.64/5.89 ( ( mem @ V2L2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( p @ ( ap @ ( ap @ ( c_2Esorting_2ESORTED @ A_27a ) @ V0R ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V1L1 ) @ V2L2 ) ) )
% 5.64/5.89 <=> ( ( p @ ( ap @ ( ap @ ( c_2Esorting_2ESORTED @ A_27a ) @ V0R ) @ V1L1 ) )
% 5.64/5.89 & ( p @ ( ap @ ( ap @ ( c_2Esorting_2ESORTED @ A_27a ) @ V0R ) @ V2L2 ) )
% 5.64/5.89 & ( ( V1L1
% 5.64/5.89 = ( c_2Elist_2ENIL @ A_27a ) )
% 5.64/5.89 | ( V2L2
% 5.64/5.89 = ( c_2Elist_2ENIL @ A_27a ) )
% 5.64/5.89 | ( p @ ( ap @ ( ap @ V0R @ ( ap @ ( c_2Elist_2ELAST @ A_27a ) @ V1L1 ) ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ V2L2 ) ) ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2EMEM__PERM,axiom,
% 5.64/5.89 ! [A_27a: del,V0l1: $i] :
% 5.64/5.89 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V1l2: $i] :
% 5.64/5.89 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V0l1 ) @ V1l2 ) )
% 5.64/5.89 => ! [V2a: $i] :
% 5.64/5.89 ( ( mem @ V2a @ A_27a )
% 5.64/5.89 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2a ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V0l1 ) ) )
% 5.64/5.89 <=> ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2a ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V1l2 ) ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2ESORTED__PERM__EQ,axiom,
% 5.64/5.89 ! [A_27a: del,V0R: $i] :
% 5.64/5.89 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.64/5.89 => ( ( ( p @ ( ap @ ( c_2Erelation_2Etransitive @ A_27a ) @ V0R ) )
% 5.64/5.89 & ( p @ ( ap @ ( c_2Erelation_2Eantisymmetric @ A_27a ) @ V0R ) ) )
% 5.64/5.89 => ! [V1l1: $i] :
% 5.64/5.89 ( ( mem @ V1l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V2l2: $i] :
% 5.64/5.89 ( ( mem @ V2l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( ( p @ ( ap @ ( ap @ ( c_2Esorting_2ESORTED @ A_27a ) @ V0R ) @ V1l1 ) )
% 5.64/5.89 & ( p @ ( ap @ ( ap @ ( c_2Esorting_2ESORTED @ A_27a ) @ V0R ) @ V2l2 ) )
% 5.64/5.89 & ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V1l1 ) @ V2l2 ) ) )
% 5.64/5.89 => ( V1l1 = V2l2 ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2EQSORT__eq__if__PERM,axiom,
% 5.64/5.89 ! [A_27a: del,V0R: $i] :
% 5.64/5.89 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.64/5.89 => ( ( ( p @ ( ap @ ( c_2Erelation_2Etotal @ A_27a ) @ V0R ) )
% 5.64/5.89 & ( p @ ( ap @ ( c_2Erelation_2Etransitive @ A_27a ) @ V0R ) )
% 5.64/5.89 & ( p @ ( ap @ ( c_2Erelation_2Eantisymmetric @ A_27a ) @ V0R ) ) )
% 5.64/5.89 => ! [V1l1: $i] :
% 5.64/5.89 ( ( mem @ V1l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V2l2: $i] :
% 5.64/5.89 ( ( mem @ V2l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( ( ap @ ( ap @ ( c_2Esorting_2EQSORT @ A_27a ) @ V0R ) @ V1l1 )
% 5.64/5.89 = ( ap @ ( ap @ ( c_2Esorting_2EQSORT @ A_27a ) @ V0R ) @ V2l2 ) )
% 5.64/5.89 <=> ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V1l1 ) @ V2l2 ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2ESORTED__FILTER,axiom,
% 5.64/5.89 ! [A_27a: del,V0R: $i] :
% 5.64/5.89 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.64/5.89 => ! [V1ls: $i] :
% 5.64/5.89 ( ( mem @ V1ls @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V2P: $i] :
% 5.64/5.89 ( ( mem @ V2P @ ( arr @ A_27a @ bool ) )
% 5.64/5.89 => ( ( ( p @ ( ap @ ( c_2Erelation_2Etransitive @ A_27a ) @ V0R ) )
% 5.64/5.89 & ( p @ ( ap @ ( ap @ ( c_2Esorting_2ESORTED @ A_27a ) @ V0R ) @ V1ls ) ) )
% 5.64/5.89 => ( p @ ( ap @ ( ap @ ( c_2Esorting_2ESORTED @ A_27a ) @ V0R ) @ ( ap @ ( ap @ ( c_2Elist_2EFILTER @ A_27a ) @ V2P ) @ V1ls ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2EALL__DISTINCT__SORTED__WEAKEN,axiom,
% 5.64/5.89 ! [A_27a: del,V0R: $i] :
% 5.64/5.89 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.64/5.89 => ! [V1R_27: $i] :
% 5.64/5.89 ( ( mem @ V1R_27 @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.64/5.89 => ! [V2ls: $i] :
% 5.64/5.89 ( ( mem @ V2ls @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( ! [V3x: $i] :
% 5.64/5.89 ( ( mem @ V3x @ A_27a )
% 5.64/5.89 => ! [V4y: $i] :
% 5.64/5.89 ( ( mem @ V4y @ A_27a )
% 5.64/5.89 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V2ls ) ) )
% 5.64/5.89 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V4y ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V2ls ) ) )
% 5.64/5.89 & ( V3x != V4y ) )
% 5.64/5.89 => ( ( p @ ( ap @ ( ap @ V0R @ V3x ) @ V4y ) )
% 5.64/5.89 <=> ( p @ ( ap @ ( ap @ V1R_27 @ V3x ) @ V4y ) ) ) ) ) )
% 5.64/5.89 & ( p @ ( ap @ ( c_2Elist_2EALL__DISTINCT @ A_27a ) @ V2ls ) )
% 5.64/5.89 & ( p @ ( ap @ ( ap @ ( c_2Esorting_2ESORTED @ A_27a ) @ V0R ) @ V2ls ) ) )
% 5.64/5.89 => ( p @ ( ap @ ( ap @ ( c_2Esorting_2ESORTED @ A_27a ) @ V1R_27 ) @ V2ls ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2EPERM__FUN__APPEND__C,axiom,
% 5.64/5.89 ! [A_27a: del,V0l1: $i] :
% 5.64/5.89 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V1l1_27: $i] :
% 5.64/5.89 ( ( mem @ V1l1_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V2l2: $i] :
% 5.64/5.89 ( ( mem @ V2l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V3l2_27: $i] :
% 5.64/5.89 ( ( mem @ V3l2_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V0l1 )
% 5.64/5.89 = ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V1l1_27 ) )
% 5.64/5.89 => ( ( ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V2l2 )
% 5.64/5.89 = ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V3l2_27 ) )
% 5.64/5.89 => ( ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V0l1 ) @ V2l2 ) )
% 5.64/5.89 = ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V1l1_27 ) @ V3l2_27 ) ) ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2EPERM__FUN__CONS,axiom,
% 5.64/5.89 ! [A_27a: del,V0x: $i] :
% 5.64/5.89 ( ( mem @ V0x @ A_27a )
% 5.64/5.89 => ! [V1l1: $i] :
% 5.64/5.89 ( ( mem @ V1l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V2l1_27: $i] :
% 5.64/5.89 ( ( mem @ V2l1_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V1l1 )
% 5.64/5.89 = ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V2l1_27 ) )
% 5.64/5.89 => ( ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V0x ) @ V1l1 ) )
% 5.64/5.89 = ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V0x ) @ V2l1_27 ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2EPERM__FUN__APPEND__CONS,axiom,
% 5.64/5.89 ! [A_27a: del,V0x: $i] :
% 5.64/5.89 ( ( mem @ V0x @ A_27a )
% 5.64/5.89 => ! [V1l1: $i] :
% 5.64/5.89 ( ( mem @ V1l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V2l2: $i] :
% 5.64/5.89 ( ( mem @ V2l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V1l1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V0x ) @ V2l2 ) ) )
% 5.64/5.89 = ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V0x ) @ V1l1 ) ) @ V2l2 ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2EPERM__FUN__SWAP__AT__FRONT,axiom,
% 5.64/5.89 ! [A_27a: del,V0x: $i] :
% 5.64/5.89 ( ( mem @ V0x @ A_27a )
% 5.64/5.89 => ! [V1y: $i] :
% 5.64/5.89 ( ( mem @ V1y @ A_27a )
% 5.64/5.89 => ! [V2l: $i] :
% 5.64/5.89 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V0x ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1y ) @ V2l ) ) )
% 5.64/5.89 = ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1y ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V0x ) @ V2l ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2EPERM__FUN__CONS__11__SWAP__AT__FRONT,axiom,
% 5.64/5.89 ! [A_27a: del,V0y: $i] :
% 5.64/5.89 ( ( mem @ V0y @ A_27a )
% 5.64/5.89 => ! [V1l1: $i] :
% 5.64/5.89 ( ( mem @ V1l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V2x: $i] :
% 5.64/5.89 ( ( mem @ V2x @ A_27a )
% 5.64/5.89 => ! [V3l2: $i] :
% 5.64/5.89 ( ( mem @ V3l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V1l1 )
% 5.64/5.89 = ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2x ) @ V3l2 ) ) )
% 5.64/5.89 => ( ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V0y ) @ V1l1 ) )
% 5.64/5.89 = ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2x ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V0y ) @ V3l2 ) ) ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2EPERM__FUN__CONS__11__APPEND,axiom,
% 5.64/5.89 ! [A_27a: del,V0y: $i] :
% 5.64/5.89 ( ( mem @ V0y @ A_27a )
% 5.64/5.89 => ! [V1l1: $i] :
% 5.64/5.89 ( ( mem @ V1l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V2l2: $i] :
% 5.64/5.89 ( ( mem @ V2l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V3l3: $i] :
% 5.64/5.89 ( ( mem @ V3l3 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V1l1 )
% 5.64/5.89 = ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V2l2 ) @ V3l3 ) ) )
% 5.64/5.89 => ( ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V0y ) @ V1l1 ) )
% 5.64/5.89 = ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V2l2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V0y ) @ V3l3 ) ) ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2EPERM__FUN__CONS__APPEND__1,axiom,
% 5.64/5.89 ! [A_27a: del,V0l: $i] :
% 5.64/5.89 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V1l1: $i] :
% 5.64/5.89 ( ( mem @ V1l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V2x: $i] :
% 5.64/5.89 ( ( mem @ V2x @ A_27a )
% 5.64/5.89 => ! [V3l2: $i] :
% 5.64/5.89 ( ( mem @ V3l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V1l1 )
% 5.64/5.89 = ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2x ) @ V3l2 ) ) )
% 5.64/5.89 => ( ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V1l1 ) @ V0l ) )
% 5.64/5.89 = ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2x ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V3l2 ) @ V0l ) ) ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2EPERM__FUN__CONS__APPEND__2,axiom,
% 5.64/5.89 ! [A_27a: del,V0l: $i] :
% 5.64/5.89 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V1l1: $i] :
% 5.64/5.89 ( ( mem @ V1l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V2x: $i] :
% 5.64/5.89 ( ( mem @ V2x @ A_27a )
% 5.64/5.89 => ! [V3l2: $i] :
% 5.64/5.89 ( ( mem @ V3l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V1l1 )
% 5.64/5.89 = ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2x ) @ V3l2 ) ) )
% 5.64/5.89 => ( ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V0l ) @ V1l1 ) )
% 5.64/5.89 = ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2x ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V0l ) @ V3l2 ) ) ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2EPERM__FUN__APPEND__APPEND__1,axiom,
% 5.64/5.89 ! [A_27a: del,V0l1: $i] :
% 5.64/5.89 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V1l2: $i] :
% 5.64/5.89 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V2l3: $i] :
% 5.64/5.89 ( ( mem @ V2l3 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V3l4: $i] :
% 5.64/5.89 ( ( mem @ V3l4 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V0l1 )
% 5.64/5.89 = ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V1l2 ) @ V2l3 ) ) )
% 5.64/5.89 => ( ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V0l1 ) @ V3l4 ) )
% 5.64/5.89 = ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V1l2 ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V2l3 ) @ V3l4 ) ) ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2EPERM__FUN__APPEND__APPEND__2,axiom,
% 5.64/5.89 ! [A_27a: del,V0l1: $i] :
% 5.64/5.89 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V1l2: $i] :
% 5.64/5.89 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V2l3: $i] :
% 5.64/5.89 ( ( mem @ V2l3 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V3l4: $i] :
% 5.64/5.89 ( ( mem @ V3l4 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V0l1 )
% 5.64/5.89 = ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V1l2 ) @ V2l3 ) ) )
% 5.64/5.89 => ( ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V3l4 ) @ V0l1 ) )
% 5.64/5.89 = ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V1l2 ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V3l4 ) @ V2l3 ) ) ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2EPERM__FUN__APPEND,axiom,
% 5.64/5.89 ! [A_27a: del,V0l1: $i] :
% 5.64/5.89 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V1l2: $i] :
% 5.64/5.89 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V0l1 ) @ V1l2 ) )
% 5.64/5.89 = ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V1l2 ) @ V0l1 ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2EPERM__FUN__CONS__IFF,axiom,
% 5.64/5.89 ! [A_27a: del,V0x: $i] :
% 5.64/5.89 ( ( mem @ V0x @ A_27a )
% 5.64/5.89 => ! [V1l1: $i] :
% 5.64/5.89 ( ( mem @ V1l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V2l2: $i] :
% 5.64/5.89 ( ( mem @ V2l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V1l1 )
% 5.64/5.89 = ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V2l2 ) )
% 5.64/5.89 => ( ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V0x ) @ V1l1 ) )
% 5.64/5.89 = ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V0x ) @ V2l2 ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2EPERM__FUN__APPEND__IFF,axiom,
% 5.64/5.89 ! [A_27a: del,V0l: $i] :
% 5.64/5.89 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V1l1: $i] :
% 5.64/5.89 ( ( mem @ V1l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V2l2: $i] :
% 5.64/5.89 ( ( mem @ V2l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V1l1 )
% 5.64/5.89 = ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V2l2 ) )
% 5.64/5.89 => ( ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V0l ) @ V1l1 ) )
% 5.64/5.89 = ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V0l ) @ V2l2 ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2EPERM__FUN__CONG,axiom,
% 5.64/5.89 ! [A_27a: del,V0l1: $i] :
% 5.64/5.89 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V1l1_27: $i] :
% 5.64/5.89 ( ( mem @ V1l1_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V2l2: $i] :
% 5.64/5.89 ( ( mem @ V2l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V3l2_27: $i] :
% 5.64/5.89 ( ( mem @ V3l2_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V0l1 )
% 5.64/5.89 = ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V1l1_27 ) )
% 5.64/5.89 => ( ( ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V2l2 )
% 5.64/5.89 = ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V3l2_27 ) )
% 5.64/5.89 => ( ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V0l1 ) @ V2l2 ) )
% 5.64/5.89 <=> ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V1l1_27 ) @ V3l2_27 ) ) ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2EPERM__CONG__2,axiom,
% 5.64/5.89 ! [A_27a: del,V0l1: $i] :
% 5.64/5.89 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V1l1_27: $i] :
% 5.64/5.89 ( ( mem @ V1l1_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V2l2: $i] :
% 5.64/5.89 ( ( mem @ V2l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V3l2_27: $i] :
% 5.64/5.89 ( ( mem @ V3l2_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V0l1 ) @ V1l1_27 ) )
% 5.64/5.89 => ( ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V2l2 ) @ V3l2_27 ) )
% 5.64/5.89 => ( ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V0l1 ) @ V2l2 ) )
% 5.64/5.89 <=> ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V1l1_27 ) @ V3l2_27 ) ) ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2EPERM__CONG__APPEND__IFF,axiom,
% 5.64/5.89 ! [A_27a: del,V0l: $i] :
% 5.64/5.89 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V1l1: $i] :
% 5.64/5.89 ( ( mem @ V1l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V2l1_27: $i] :
% 5.64/5.89 ( ( mem @ V2l1_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V3l2: $i] :
% 5.64/5.89 ( ( mem @ V3l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V4l2_27: $i] :
% 5.64/5.89 ( ( mem @ V4l2_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V1l1 ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V0l ) @ V2l1_27 ) ) )
% 5.64/5.89 => ( ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V3l2 ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V0l ) @ V4l2_27 ) ) )
% 5.64/5.89 => ( ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V1l1 ) @ V3l2 ) )
% 5.64/5.89 <=> ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V2l1_27 ) @ V4l2_27 ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2EPERM__CONG__APPEND__IFF2,axiom,
% 5.64/5.89 ! [A_27a: del,V0l1: $i] :
% 5.64/5.89 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V1l1_27: $i] :
% 5.64/5.89 ( ( mem @ V1l1_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V2l1_27_27: $i] :
% 5.64/5.89 ( ( mem @ V2l1_27_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V3l2: $i] :
% 5.64/5.89 ( ( mem @ V3l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V4l2_27: $i] :
% 5.64/5.89 ( ( mem @ V4l2_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V5l2_27_27: $i] :
% 5.64/5.89 ( ( mem @ V5l2_27_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V0l1 ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V1l1_27 ) @ V2l1_27_27 ) ) )
% 5.64/5.89 => ( ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V3l2 ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V4l2_27 ) @ V5l2_27_27 ) ) )
% 5.64/5.89 => ( ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V1l1_27 ) @ V4l2_27 ) )
% 5.64/5.89 => ( ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V0l1 ) @ V3l2 ) )
% 5.64/5.89 <=> ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V2l1_27_27 ) @ V5l2_27_27 ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2EPERM__FUN__SPLIT,axiom,
% 5.64/5.89 ! [A_27a: del,V0l: $i] :
% 5.64/5.89 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V1l1: $i] :
% 5.64/5.89 ( ( mem @ V1l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V2l1_27: $i] :
% 5.64/5.89 ( ( mem @ V2l1_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V3l2: $i] :
% 5.64/5.89 ( ( mem @ V3l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V0l ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V1l1 ) @ V3l2 ) ) )
% 5.64/5.89 => ( ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V2l1_27 ) @ V1l1 ) )
% 5.64/5.89 => ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V0l ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V2l1_27 ) @ V3l2 ) ) ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2EPERM__REWR,axiom,
% 5.64/5.89 ! [A_27a: del,V0l: $i] :
% 5.64/5.89 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V1r: $i] :
% 5.64/5.89 ( ( mem @ V1r @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V2l1: $i] :
% 5.64/5.89 ( ( mem @ V2l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V3l2: $i] :
% 5.64/5.89 ( ( mem @ V3l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V0l ) @ V1r ) )
% 5.64/5.89 => ( ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V0l ) @ V2l1 ) ) @ V3l2 ) )
% 5.64/5.89 <=> ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V1r ) @ V2l1 ) ) @ V3l2 ) ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2EPERM__TO__APPEND__SIMPS,axiom,
% 5.64/5.89 ! [A_27a: del,A_27b: del,V0x: $i] :
% 5.64/5.89 ( ( mem @ V0x @ A_27a )
% 5.64/5.89 => ! [V1l: $i] :
% 5.64/5.89 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V2r1: $i] :
% 5.64/5.89 ( ( mem @ V2r1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V3r2: $i] :
% 5.64/5.89 ( ( mem @ V3r2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V4xs: $i] :
% 5.64/5.89 ( ( mem @ V4xs @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V5ys: $i] :
% 5.64/5.89 ( ( mem @ V5ys @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V6zs: $i] :
% 5.64/5.89 ( ( mem @ V6zs @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V7r: $i] :
% 5.64/5.89 ( ( mem @ V7r @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V0x ) @ V1l ) ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V0x ) @ V2r1 ) ) @ V3r2 ) ) )
% 5.64/5.89 <=> ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V1l ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V2r1 ) @ V3r2 ) ) ) )
% 5.64/5.89 & ( ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V0x ) @ V1l ) ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V2r1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V0x ) @ V3r2 ) ) ) )
% 5.64/5.89 <=> ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V1l ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V2r1 ) @ V3r2 ) ) ) )
% 5.64/5.89 & ( ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V4xs ) @ V5ys ) ) @ V6zs ) ) @ V7r ) )
% 5.64/5.89 <=> ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V4xs ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V5ys ) @ V6zs ) ) ) @ V7r ) ) )
% 5.64/5.89 & ( ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V0x ) @ V5ys ) ) @ V6zs ) ) @ V7r ) )
% 5.64/5.89 <=> ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V0x ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V5ys ) @ V6zs ) ) ) @ V7r ) ) )
% 5.64/5.89 & ( ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ ( c_2Elist_2ENIL @ A_27a ) ) @ V1l ) ) @ V7r ) )
% 5.64/5.89 <=> ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V1l ) @ V7r ) ) )
% 5.64/5.89 & ( ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V4xs ) @ V1l ) ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V4xs ) @ V2r1 ) ) @ V3r2 ) ) )
% 5.64/5.89 <=> ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V1l ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V2r1 ) @ V3r2 ) ) ) )
% 5.64/5.89 & ( ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V4xs ) @ V1l ) ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V2r1 ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V4xs ) @ V3r2 ) ) ) )
% 5.64/5.89 <=> ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V1l ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V2r1 ) @ V3r2 ) ) ) )
% 5.64/5.89 & ( ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27b ) @ ( c_2Elist_2ENIL @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27b ) @ ( c_2Elist_2ENIL @ A_27b ) ) @ ( c_2Elist_2ENIL @ A_27b ) ) ) )
% 5.64/5.89 <=> $true )
% 5.64/5.89 & ( ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V4xs ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V4xs ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) )
% 5.64/5.89 <=> $true )
% 5.64/5.89 & ( ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V4xs ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ ( c_2Elist_2ENIL @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V4xs ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) )
% 5.64/5.89 <=> $true ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(ax_thm_2Esorting_2ESTABLE__DEF,axiom,
% 5.64/5.89 ! [A_27a: del,V0sort: $i] :
% 5.64/5.89 ( ( mem @ V0sort @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) ) )
% 5.64/5.89 => ! [V1r: $i] :
% 5.64/5.89 ( ( mem @ V1r @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.64/5.89 => ( ( p @ ( ap @ ( ap @ ( c_2Esorting_2ESTABLE @ A_27a ) @ V0sort ) @ V1r ) )
% 5.64/5.89 <=> ( ( p @ ( ap @ ( ap @ ( c_2Esorting_2ESORTS @ A_27a ) @ V0sort ) @ V1r ) )
% 5.64/5.89 & ! [V2p: $i] :
% 5.64/5.89 ( ( mem @ V2p @ ( arr @ A_27a @ bool ) )
% 5.64/5.89 => ( ! [V3x: $i] :
% 5.64/5.89 ( ( mem @ V3x @ A_27a )
% 5.64/5.89 => ! [V4y: $i] :
% 5.64/5.89 ( ( mem @ V4y @ A_27a )
% 5.64/5.89 => ( ( ( p @ ( ap @ V2p @ V3x ) )
% 5.64/5.89 & ( p @ ( ap @ V2p @ V4y ) ) )
% 5.64/5.89 => ( p @ ( ap @ ( ap @ V1r @ V3x ) @ V4y ) ) ) ) )
% 5.64/5.89 => ! [V5l: $i] :
% 5.64/5.89 ( ( mem @ V5l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( ap @ ( ap @ ( c_2Elist_2EFILTER @ A_27a ) @ V2p ) @ V5l )
% 5.64/5.89 = ( ap @ ( ap @ ( c_2Elist_2EFILTER @ A_27a ) @ V2p ) @ ( ap @ ( ap @ V0sort @ V1r ) @ V5l ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(ax_thm_2Esorting_2EPART3__DEF,axiom,
% 5.64/5.89 ! [A_27a: del] :
% 5.64/5.89 ( ! [V0R: $i] :
% 5.64/5.89 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.64/5.89 => ! [V1h: $i] :
% 5.64/5.89 ( ( mem @ V1h @ A_27a )
% 5.64/5.89 => ( ( ap @ ( ap @ ( ap @ ( c_2Esorting_2EPART3 @ A_27a ) @ V0R ) @ V1h ) @ ( c_2Elist_2ENIL @ A_27a ) )
% 5.64/5.89 = ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) )
% 5.64/5.89 & ! [V2R: $i] :
% 5.64/5.89 ( ( mem @ V2R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.64/5.89 => ! [V3h: $i] :
% 5.64/5.89 ( ( mem @ V3h @ A_27a )
% 5.64/5.89 => ! [V4hd: $i] :
% 5.64/5.89 ( ( mem @ V4hd @ A_27a )
% 5.64/5.89 => ! [V5tl: $i] :
% 5.64/5.89 ( ( mem @ V5tl @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( ap @ ( ap @ ( ap @ ( c_2Esorting_2EPART3 @ A_27a ) @ V2R ) @ V3h ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4hd ) @ V5tl ) )
% 5.64/5.89 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) ) ) @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ V2R @ V3h ) @ V4hd ) ) @ ( ap @ ( ap @ V2R @ V4hd ) @ V3h ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Epair_2E_23_23 @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) ) @ ( c_2Ecombin_2EI @ ( ty_2Elist_2Elist @ A_27a ) ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_23_23 @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4hd ) ) @ ( c_2Ecombin_2EI @ ( ty_2Elist_2Elist @ A_27a ) ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Esorting_2EPART3 @ A_27a ) @ V2R ) @ V3h ) @ V5tl ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) ) ) @ ( ap @ ( ap @ V2R @ V4hd ) @ V3h ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Epair_2E_23_23 @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) ) @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4hd ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_23_23 @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( c_2Ecombin_2EI @ ( ty_2Elist_2Elist @ A_27a ) ) ) @ ( c_2Ecombin_2EI @ ( ty_2Elist_2Elist @ A_27a ) ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Esorting_2EPART3 @ A_27a ) @ V2R ) @ V3h ) @ V5tl ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Epair_2E_23_23 @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) ) @ ( c_2Ecombin_2EI @ ( ty_2Elist_2Elist @ A_27a ) ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_23_23 @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( c_2Ecombin_2EI @ ( ty_2Elist_2Elist @ A_27a ) ) ) @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4hd ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Esorting_2EPART3 @ A_27a ) @ V2R ) @ V3h ) @ V5tl ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2EPART3__FILTER,axiom,
% 5.64/5.89 ! [A_27a: del,V0R: $i] :
% 5.64/5.89 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.64/5.89 => ! [V1tl: $i] :
% 5.64/5.89 ( ( mem @ V1tl @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V2hd: $i] :
% 5.64/5.89 ( ( mem @ V2hd @ A_27a )
% 5.64/5.89 => ( ( ap @ ( ap @ ( ap @ ( c_2Esorting_2EPART3 @ A_27a ) @ V0R ) @ V2hd ) @ V1tl )
% 5.64/5.89 = ( ap
% 5.64/5.89 @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) )
% 5.64/5.89 @ ( ap
% 5.64/5.89 @ ( ap @ ( c_2Elist_2EFILTER @ A_27a )
% 5.64/5.89 @ ( lam @ A_27a
% 5.64/5.89 @ ^ [V3x: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ V0R @ V3x ) @ V2hd ) ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ ( ap @ V0R @ V2hd ) @ V3x ) ) ) ) )
% 5.64/5.89 @ V1tl ) )
% 5.64/5.89 @ ( ap
% 5.64/5.89 @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 @ ( ap
% 5.64/5.89 @ ( ap @ ( c_2Elist_2EFILTER @ A_27a )
% 5.64/5.89 @ ( lam @ A_27a
% 5.64/5.89 @ ^ [V4x: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ V0R @ V4x ) @ V2hd ) ) @ ( ap @ ( ap @ V0R @ V2hd ) @ V4x ) ) ) )
% 5.64/5.89 @ V1tl ) )
% 5.64/5.89 @ ( ap
% 5.64/5.89 @ ( ap @ ( c_2Elist_2EFILTER @ A_27a )
% 5.64/5.89 @ ( lam @ A_27a
% 5.64/5.89 @ ^ [V5x: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ ( ap @ V0R @ V5x ) @ V2hd ) ) ) )
% 5.64/5.89 @ V1tl ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2EQSORT3__IND,axiom,
% 5.64/5.89 ! [A_27a: del,V0P: $i] :
% 5.64/5.89 ( ( mem @ V0P @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ bool ) ) )
% 5.64/5.89 => ( ( ! [V1R: $i] :
% 5.64/5.89 ( ( mem @ V1R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.64/5.89 => ( p @ ( ap @ ( ap @ V0P @ V1R ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) )
% 5.64/5.89 & ! [V2R: $i] :
% 5.64/5.89 ( ( mem @ V2R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.64/5.89 => ! [V3hd: $i] :
% 5.64/5.89 ( ( mem @ V3hd @ A_27a )
% 5.64/5.89 => ! [V4tl: $i] :
% 5.64/5.89 ( ( mem @ V4tl @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( ! [V5lo: $i] :
% 5.64/5.89 ( ( mem @ V5lo @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V6eq: $i] :
% 5.64/5.89 ( ( mem @ V6eq @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V7hi: $i] :
% 5.64/5.89 ( ( mem @ V7hi @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) ) @ V5lo ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) @ V6eq ) @ V7hi ) )
% 5.64/5.89 = ( ap @ ( ap @ ( ap @ ( c_2Esorting_2EPART3 @ A_27a ) @ V2R ) @ V3hd ) @ V4tl ) )
% 5.64/5.89 => ( p @ ( ap @ ( ap @ V0P @ V2R ) @ V7hi ) ) ) ) ) )
% 5.64/5.89 & ! [V8lo: $i] :
% 5.64/5.89 ( ( mem @ V8lo @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V9eq: $i] :
% 5.64/5.89 ( ( mem @ V9eq @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V10hi: $i] :
% 5.64/5.89 ( ( mem @ V10hi @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) ) @ V8lo ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) @ V9eq ) @ V10hi ) )
% 5.64/5.89 = ( ap @ ( ap @ ( ap @ ( c_2Esorting_2EPART3 @ A_27a ) @ V2R ) @ V3hd ) @ V4tl ) )
% 5.64/5.89 => ( p @ ( ap @ ( ap @ V0P @ V2R ) @ V8lo ) ) ) ) ) ) )
% 5.64/5.89 => ( p @ ( ap @ ( ap @ V0P @ V2R ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3hd ) @ V4tl ) ) ) ) ) ) ) )
% 5.64/5.89 => ! [V11v: $i] :
% 5.64/5.89 ( ( mem @ V11v @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.64/5.89 => ! [V12v1: $i] :
% 5.64/5.89 ( ( mem @ V12v1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( p @ ( ap @ ( ap @ V0P @ V11v ) @ V12v1 ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2EQSORT3__DEF,axiom,
% 5.64/5.89 ! [A_27a: del] :
% 5.64/5.89 ( ! [V0R: $i] :
% 5.64/5.89 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.64/5.89 => ( ( ap @ ( ap @ ( c_2Esorting_2EQSORT3 @ A_27a ) @ V0R ) @ ( c_2Elist_2ENIL @ A_27a ) )
% 5.64/5.89 = ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.64/5.89 & ! [V1tl: $i] :
% 5.64/5.89 ( ( mem @ V1tl @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V2hd: $i] :
% 5.64/5.89 ( ( mem @ V2hd @ A_27a )
% 5.64/5.89 => ! [V3R: $i] :
% 5.64/5.89 ( ( mem @ V3R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.64/5.89 => ( ( ap @ ( ap @ ( c_2Esorting_2EQSORT3 @ A_27a ) @ V3R ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2hd ) @ V1tl ) )
% 5.64/5.89 = ( ap
% 5.64/5.89 @ ( ap @ ( c_2Ebool_2ELET @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) ) @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 @ ( ap @ ( c_2Epair_2EUNCURRY @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 @ ( lam @ ( ty_2Elist_2Elist @ A_27a )
% 5.64/5.89 @ ^ [V4lo: $i] :
% 5.64/5.89 ( ap @ ( c_2Epair_2EUNCURRY @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 @ ( lam @ ( ty_2Elist_2Elist @ A_27a )
% 5.64/5.89 @ ^ [V5eq: $i] :
% 5.64/5.89 ( lam @ ( ty_2Elist_2Elist @ A_27a )
% 5.64/5.89 @ ^ [V6hi: $i] : ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ ( ap @ ( ap @ ( c_2Esorting_2EQSORT3 @ A_27a ) @ V3R ) @ V4lo ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2hd ) @ V5eq ) ) ) @ ( ap @ ( ap @ ( c_2Esorting_2EQSORT3 @ A_27a ) @ V3R ) @ V6hi ) ) ) ) ) ) ) )
% 5.64/5.89 @ ( ap @ ( ap @ ( ap @ ( c_2Esorting_2EPART3 @ A_27a ) @ V3R ) @ V2hd ) @ V1tl ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2EPERM3,axiom,
% 5.64/5.89 ! [A_27a: del,V0x: $i] :
% 5.64/5.89 ( ( mem @ V0x @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V1a: $i] :
% 5.64/5.89 ( ( mem @ V1a @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V2a_27: $i] :
% 5.64/5.89 ( ( mem @ V2a_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V3b: $i] :
% 5.64/5.89 ( ( mem @ V3b @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V4b_27: $i] :
% 5.64/5.89 ( ( mem @ V4b_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V5c: $i] :
% 5.64/5.89 ( ( mem @ V5c @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V6c_27: $i] :
% 5.64/5.89 ( ( mem @ V6c_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V1a ) @ V2a_27 ) )
% 5.64/5.89 & ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V3b ) @ V4b_27 ) )
% 5.64/5.89 & ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V5c ) @ V6c_27 ) )
% 5.64/5.89 & ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V0x ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V1a ) @ V3b ) ) @ V5c ) ) ) )
% 5.64/5.89 => ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V0x ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V2a_27 ) @ V4b_27 ) ) @ V6c_27 ) ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2EPERM3__FILTER,axiom,
% 5.64/5.89 ! [A_27a: del,V0R: $i] :
% 5.64/5.89 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.64/5.89 => ! [V1l: $i] :
% 5.64/5.89 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V2h: $i] :
% 5.64/5.89 ( ( mem @ V2h @ A_27a )
% 5.64/5.89 => ( p
% 5.64/5.89 @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V1l )
% 5.64/5.89 @ ( ap
% 5.64/5.89 @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a )
% 5.64/5.89 @ ( ap
% 5.64/5.89 @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a )
% 5.64/5.89 @ ( ap
% 5.64/5.89 @ ( ap @ ( c_2Elist_2EFILTER @ A_27a )
% 5.64/5.89 @ ( lam @ A_27a
% 5.64/5.89 @ ^ [V3x: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ V0R @ V3x ) @ V2h ) ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ ( ap @ V0R @ V2h ) @ V3x ) ) ) ) )
% 5.64/5.89 @ V1l ) )
% 5.64/5.89 @ ( ap
% 5.64/5.89 @ ( ap @ ( c_2Elist_2EFILTER @ A_27a )
% 5.64/5.89 @ ( lam @ A_27a
% 5.64/5.89 @ ^ [V4x: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ V0R @ V4x ) @ V2h ) ) @ ( ap @ ( ap @ V0R @ V2h ) @ V4x ) ) ) )
% 5.64/5.89 @ V1l ) ) )
% 5.64/5.89 @ ( ap
% 5.64/5.89 @ ( ap @ ( c_2Elist_2EFILTER @ A_27a )
% 5.64/5.89 @ ( lam @ A_27a
% 5.64/5.89 @ ^ [V5x: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ ( ap @ V0R @ V5x ) @ V2h ) ) ) )
% 5.64/5.89 @ V1l ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2EPERM__QSORT3,axiom,
% 5.64/5.89 ! [A_27a: del,V0l: $i] :
% 5.64/5.89 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V1R: $i] :
% 5.64/5.89 ( ( mem @ V1R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.64/5.89 => ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V0l ) @ ( ap @ ( ap @ ( c_2Esorting_2EQSORT3 @ A_27a ) @ V1R ) @ V0l ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2ESORTED__EQ__PART,axiom,
% 5.64/5.89 ! [A_27a: del,V0hd: $i] :
% 5.64/5.89 ( ( mem @ V0hd @ A_27a )
% 5.64/5.89 => ! [V1l: $i] :
% 5.64/5.89 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V2R: $i] :
% 5.64/5.89 ( ( mem @ V2R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.64/5.89 => ( ( p @ ( ap @ ( c_2Erelation_2Etransitive @ A_27a ) @ V2R ) )
% 5.64/5.89 => ( p
% 5.64/5.89 @ ( ap @ ( ap @ ( c_2Esorting_2ESORTED @ A_27a ) @ V2R )
% 5.64/5.89 @ ( ap
% 5.64/5.89 @ ( ap @ ( c_2Elist_2EFILTER @ A_27a )
% 5.64/5.89 @ ( lam @ A_27a
% 5.64/5.89 @ ^ [V3x: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ V2R @ V3x ) @ V0hd ) ) @ ( ap @ ( ap @ V2R @ V0hd ) @ V3x ) ) ) )
% 5.64/5.89 @ V1l ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2EQSORT3__SORTS,axiom,
% 5.64/5.89 ! [A_27a: del,V0R: $i] :
% 5.64/5.89 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.64/5.89 => ( ( ( p @ ( ap @ ( c_2Erelation_2Etransitive @ A_27a ) @ V0R ) )
% 5.64/5.89 & ( p @ ( ap @ ( c_2Erelation_2Etotal @ A_27a ) @ V0R ) ) )
% 5.64/5.89 => ( p @ ( ap @ ( ap @ ( c_2Esorting_2ESORTS @ A_27a ) @ ( c_2Esorting_2EQSORT3 @ A_27a ) ) @ V0R ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2EQSORT3__SPLIT,axiom,
% 5.64/5.89 ! [A_27a: del,V0R: $i] :
% 5.64/5.89 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.64/5.89 => ( ( ( p @ ( ap @ ( c_2Erelation_2Etransitive @ A_27a ) @ V0R ) )
% 5.64/5.89 & ( p @ ( ap @ ( c_2Erelation_2Etotal @ A_27a ) @ V0R ) ) )
% 5.64/5.89 => ! [V1l: $i] :
% 5.64/5.89 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V2e: $i] :
% 5.64/5.89 ( ( mem @ V2e @ A_27a )
% 5.64/5.89 => ( ( ap @ ( ap @ ( c_2Esorting_2EQSORT3 @ A_27a ) @ V0R ) @ V1l )
% 5.64/5.89 = ( ap
% 5.64/5.89 @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a )
% 5.64/5.89 @ ( ap
% 5.64/5.89 @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a )
% 5.64/5.89 @ ( ap @ ( ap @ ( c_2Esorting_2EQSORT3 @ A_27a ) @ V0R )
% 5.64/5.89 @ ( ap
% 5.64/5.89 @ ( ap @ ( c_2Elist_2EFILTER @ A_27a )
% 5.64/5.89 @ ( lam @ A_27a
% 5.64/5.89 @ ^ [V3x: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ V0R @ V3x ) @ V2e ) ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ ( ap @ V0R @ V2e ) @ V3x ) ) ) ) )
% 5.64/5.89 @ V1l ) ) )
% 5.64/5.89 @ ( ap
% 5.64/5.89 @ ( ap @ ( c_2Elist_2EFILTER @ A_27a )
% 5.64/5.89 @ ( lam @ A_27a
% 5.64/5.89 @ ^ [V4x: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ V0R @ V4x ) @ V2e ) ) @ ( ap @ ( ap @ V0R @ V2e ) @ V4x ) ) ) )
% 5.64/5.89 @ V1l ) ) )
% 5.64/5.89 @ ( ap @ ( ap @ ( c_2Esorting_2EQSORT3 @ A_27a ) @ V0R )
% 5.64/5.89 @ ( ap
% 5.64/5.89 @ ( ap @ ( c_2Elist_2EFILTER @ A_27a )
% 5.64/5.89 @ ( lam @ A_27a
% 5.64/5.89 @ ^ [V5x: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ ( ap @ V0R @ V5x ) @ V2e ) ) ) )
% 5.64/5.89 @ V1l ) ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2EQSORT3__STABLE,axiom,
% 5.64/5.89 ! [A_27a: del,V0R: $i] :
% 5.64/5.89 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.64/5.89 => ( ( ( p @ ( ap @ ( c_2Erelation_2Etransitive @ A_27a ) @ V0R ) )
% 5.64/5.89 & ( p @ ( ap @ ( c_2Erelation_2Etotal @ A_27a ) @ V0R ) ) )
% 5.64/5.89 => ( p @ ( ap @ ( ap @ ( c_2Esorting_2ESTABLE @ A_27a ) @ ( c_2Esorting_2EQSORT3 @ A_27a ) ) @ V0R ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2EQSORT3__MEM,axiom,
% 5.64/5.89 ! [A_27a: del,V0R: $i] :
% 5.64/5.89 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.64/5.89 => ! [V1L: $i] :
% 5.64/5.89 ( ( mem @ V1L @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V2x: $i] :
% 5.64/5.89 ( ( mem @ V2x @ A_27a )
% 5.64/5.89 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ ( ap @ ( ap @ ( c_2Esorting_2EQSORT3 @ A_27a ) @ V0R ) @ V1L ) ) ) )
% 5.64/5.89 <=> ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V1L ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2EQSORT3__SORTED,axiom,
% 5.64/5.89 ! [A_27a: del,V0R: $i] :
% 5.64/5.89 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.64/5.89 => ! [V1L: $i] :
% 5.64/5.89 ( ( mem @ V1L @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( ( p @ ( ap @ ( c_2Erelation_2Etransitive @ A_27a ) @ V0R ) )
% 5.64/5.89 & ( p @ ( ap @ ( c_2Erelation_2Etotal @ A_27a ) @ V0R ) ) )
% 5.64/5.89 => ( p @ ( ap @ ( ap @ ( c_2Esorting_2ESORTED @ A_27a ) @ V0R ) @ ( ap @ ( ap @ ( c_2Esorting_2EQSORT3 @ A_27a ) @ V0R ) @ V1L ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2Esorted__count__list,axiom,
% 5.64/5.89 ! [V0n: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ ( c_2Esorting_2ESORTED @ ty_2Enum_2Enum ) @ c_2Earithmetic_2E_3C_3D ) @ ( ap @ c_2Erich__list_2ECOUNT__LIST @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2Esorted__map,axiom,
% 5.64/5.89 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.64/5.89 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.64/5.89 => ! [V1f: $i] :
% 5.64/5.89 ( ( mem @ V1f @ ( arr @ A_27b @ A_27a ) )
% 5.64/5.89 => ! [V2l: $i] :
% 5.64/5.89 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.64/5.89 => ( ( p @ ( ap @ ( c_2Erelation_2Etransitive @ A_27a ) @ V0R ) )
% 5.64/5.89 => ( ( p @ ( ap @ ( ap @ ( c_2Esorting_2ESORTED @ A_27a ) @ V0R ) @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27b @ A_27a ) @ V1f ) @ V2l ) ) )
% 5.64/5.89 <=> ( p @ ( ap @ ( ap @ ( c_2Esorting_2ESORTED @ A_27b ) @ ( ap @ ( ap @ ( c_2Erelation_2Einv__image @ A_27b @ A_27a ) @ V0R ) @ V1f ) ) @ V2l ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2Esorted__perm__count__list,axiom,
% 5.64/5.89 ! [A_27a: del,A_27b: del,V0y: $i] :
% 5.64/5.89 ( ( mem @ V0y @ A_27a )
% 5.64/5.89 => ! [V1f: $i] :
% 5.64/5.89 ( ( mem @ V1f @ ( arr @ A_27b @ ty_2Enum_2Enum ) )
% 5.64/5.89 => ! [V2l: $i] :
% 5.64/5.89 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.64/5.89 => ! [V3n: tp__ty_2Enum_2Enum] :
% 5.64/5.89 ( ( ( p @ ( ap @ ( ap @ ( c_2Esorting_2ESORTED @ A_27b ) @ ( ap @ ( ap @ ( c_2Erelation_2Einv__image @ A_27b @ ty_2Enum_2Enum ) @ c_2Earithmetic_2E_3C_3D ) @ V1f ) ) @ V2l ) )
% 5.64/5.89 & ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27b @ ty_2Enum_2Enum ) @ V1f ) @ V2l ) ) @ ( ap @ c_2Erich__list_2ECOUNT__LIST @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) ) )
% 5.64/5.89 => ( ( surj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ A_27b @ ty_2Enum_2Enum ) @ V1f ) @ V2l ) )
% 5.64/5.89 = ( surj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ ( ap @ c_2Erich__list_2ECOUNT__LIST @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2ESORTED__weaken,axiom,
% 5.64/5.89 ! [A_27a: del,V0R: $i] :
% 5.64/5.89 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.64/5.89 => ! [V1R_27: $i] :
% 5.64/5.89 ( ( mem @ V1R_27 @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.64/5.89 => ! [V2ls: $i] :
% 5.64/5.89 ( ( mem @ V2ls @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( ( p @ ( ap @ ( ap @ ( c_2Esorting_2ESORTED @ A_27a ) @ V0R ) @ V2ls ) )
% 5.64/5.89 & ! [V3x: $i] :
% 5.64/5.89 ( ( mem @ V3x @ A_27a )
% 5.64/5.89 => ! [V4y: $i] :
% 5.64/5.89 ( ( mem @ V4y @ A_27a )
% 5.64/5.89 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V2ls ) ) )
% 5.64/5.89 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V4y ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V2ls ) ) )
% 5.64/5.89 & ( p @ ( ap @ ( ap @ V0R @ V3x ) @ V4y ) ) )
% 5.64/5.89 => ( p @ ( ap @ ( ap @ V1R_27 @ V3x ) @ V4y ) ) ) ) ) )
% 5.64/5.89 => ( p @ ( ap @ ( ap @ ( c_2Esorting_2ESORTED @ A_27a ) @ V1R_27 ) @ V2ls ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2Eless__sorted__eq,axiom,
% 5.64/5.89 ! [V0L: tp__c_ty_2Elist_2Elist_ty_2Enum_2Enum,V1x: tp__ty_2Enum_2Enum] :
% 5.64/5.89 ( ( p @ ( ap @ ( ap @ ( c_2Esorting_2ESORTED @ ty_2Enum_2Enum ) @ c_2Eprim__rec_2E_3C ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ V0L ) ) ) )
% 5.64/5.89 <=> ( ( p @ ( ap @ ( ap @ ( c_2Esorting_2ESORTED @ ty_2Enum_2Enum ) @ c_2Eprim__rec_2E_3C ) @ ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ V0L ) ) )
% 5.64/5.89 & ! [V2y: tp__ty_2Enum_2Enum] :
% 5.64/5.89 ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V2y ) ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ ty_2Enum_2Enum ) @ ( inj__c_ty_2Elist_2Elist_ty_2Enum_2Enum @ V0L ) ) ) )
% 5.64/5.89 => ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( inj__ty_2Enum_2Enum @ V2y ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2ESORTED__GENLIST__PLUS,axiom,
% 5.64/5.89 ! [V0n: tp__ty_2Enum_2Enum,V1k: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ ( c_2Esorting_2ESORTED @ ty_2Enum_2Enum ) @ c_2Eprim__rec_2E_3C ) @ ( ap @ ( ap @ ( c_2Elist_2EGENLIST @ ty_2Enum_2Enum ) @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1k ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2ESORTED__ALL__DISTINCT,axiom,
% 5.64/5.89 ! [A_27a: del,V0R: $i] :
% 5.64/5.89 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.64/5.89 => ( ( ( p @ ( ap @ ( c_2Erelation_2Eirreflexive @ A_27a ) @ V0R ) )
% 5.64/5.89 & ( p @ ( ap @ ( c_2Erelation_2Etransitive @ A_27a ) @ V0R ) ) )
% 5.64/5.89 => ! [V1ls: $i] :
% 5.64/5.89 ( ( mem @ V1ls @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( p @ ( ap @ ( ap @ ( c_2Esorting_2ESORTED @ A_27a ) @ V0R ) @ V1ls ) )
% 5.64/5.89 => ( p @ ( ap @ ( c_2Elist_2EALL__DISTINCT @ A_27a ) @ V1ls ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Esorting_2Esorted__filter,axiom,
% 5.64/5.89 ! [A_27a: del,V0P: $i] :
% 5.64/5.89 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.64/5.89 => ! [V1R: $i] :
% 5.64/5.89 ( ( mem @ V1R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.64/5.89 => ! [V2ls: $i] :
% 5.64/5.89 ( ( mem @ V2ls @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( p @ ( ap @ ( c_2Erelation_2Etransitive @ A_27a ) @ V1R ) )
% 5.64/5.89 => ( ( p @ ( ap @ ( ap @ ( c_2Esorting_2ESORTED @ A_27a ) @ V1R ) @ V2ls ) )
% 5.64/5.89 => ( p @ ( ap @ ( ap @ ( c_2Esorting_2ESORTED @ A_27a ) @ V1R ) @ ( ap @ ( ap @ ( c_2Elist_2EFILTER @ A_27a ) @ V0P ) @ V2ls ) ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 %------------------------------------------------------------------------------
% 5.64/5.89 %------------------------------------------------------------------------------
% 5.64/5.89 thf(tp_ty_2Estring_2Echar,type,
% 5.64/5.89 ty_2Estring_2Echar: del ).
% 5.64/5.89
% 5.64/5.89 thf(stp_ty_2Estring_2Echar,type,
% 5.64/5.89 tp__ty_2Estring_2Echar: $tType ).
% 5.64/5.89
% 5.64/5.89 thf(stp_inj_ty_2Estring_2Echar,type,
% 5.64/5.89 inj__ty_2Estring_2Echar: tp__ty_2Estring_2Echar > $i ).
% 5.64/5.89
% 5.64/5.89 thf(stp_surj_ty_2Estring_2Echar,type,
% 5.64/5.89 surj__ty_2Estring_2Echar: $i > tp__ty_2Estring_2Echar ).
% 5.64/5.89
% 5.64/5.89 thf(stp_inj_surj_ty_2Estring_2Echar,axiom,
% 5.64/5.89 ! [X: tp__ty_2Estring_2Echar] :
% 5.64/5.89 ( ( surj__ty_2Estring_2Echar @ ( inj__ty_2Estring_2Echar @ X ) )
% 5.64/5.89 = X ) ).
% 5.64/5.89
% 5.64/5.89 thf(stp_inj_mem_ty_2Estring_2Echar,axiom,
% 5.64/5.89 ! [X: tp__ty_2Estring_2Echar] : ( mem @ ( inj__ty_2Estring_2Echar @ X ) @ ty_2Estring_2Echar ) ).
% 5.64/5.89
% 5.64/5.89 thf(stp_iso_mem_ty_2Estring_2Echar,axiom,
% 5.64/5.89 ! [X: $i] :
% 5.64/5.89 ( ( mem @ X @ ty_2Estring_2Echar )
% 5.64/5.89 => ( X
% 5.64/5.89 = ( inj__ty_2Estring_2Echar @ ( surj__ty_2Estring_2Echar @ X ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(tp_c_2Estring_2ECHR,type,
% 5.64/5.89 c_2Estring_2ECHR: $i ).
% 5.64/5.89
% 5.64/5.89 thf(mem_c_2Estring_2ECHR,axiom,
% 5.64/5.89 mem @ c_2Estring_2ECHR @ ( arr @ ty_2Enum_2Enum @ ty_2Estring_2Echar ) ).
% 5.64/5.89
% 5.64/5.89 thf(stp_fo_c_2Estring_2ECHR,type,
% 5.64/5.89 fo__c_2Estring_2ECHR: tp__ty_2Enum_2Enum > tp__ty_2Estring_2Echar ).
% 5.64/5.89
% 5.64/5.89 thf(stp_eq_fo_c_2Estring_2ECHR,axiom,
% 5.64/5.89 ! [X0: tp__ty_2Enum_2Enum] :
% 5.64/5.89 ( ( inj__ty_2Estring_2Echar @ ( fo__c_2Estring_2ECHR @ X0 ) )
% 5.64/5.89 = ( ap @ c_2Estring_2ECHR @ ( inj__ty_2Enum_2Enum @ X0 ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(stp_c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar,type,
% 5.64/5.89 tp__c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar: $tType ).
% 5.64/5.89
% 5.64/5.89 thf(stp_inj_c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar,type,
% 5.64/5.89 inj__c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar: tp__c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar > $i ).
% 5.64/5.89
% 5.64/5.89 thf(stp_surj_c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar,type,
% 5.64/5.89 surj__c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar: $i > tp__c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar ).
% 5.64/5.89
% 5.64/5.89 thf(stp_inj_surj_c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar,axiom,
% 5.64/5.89 ! [X: tp__c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar] :
% 5.64/5.89 ( ( surj__c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( inj__c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar @ X ) )
% 5.64/5.89 = X ) ).
% 5.64/5.89
% 5.64/5.89 thf(stp_inj_mem_c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar,axiom,
% 5.64/5.89 ! [X: tp__c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar] : ( mem @ ( inj__c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar @ X ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Estring_2Echar @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(stp_iso_mem_c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar,axiom,
% 5.64/5.89 ! [X: $i] :
% 5.64/5.89 ( ( mem @ X @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Estring_2Echar @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) ) )
% 5.64/5.89 => ( X
% 5.64/5.89 = ( inj__c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( surj__c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar @ X ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(stp_c_ty_2Epair_2Eprod_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar,type,
% 5.64/5.89 tp__c_ty_2Epair_2Eprod_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar: $tType ).
% 5.64/5.89
% 5.64/5.89 thf(stp_inj_c_ty_2Epair_2Eprod_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar,type,
% 5.64/5.89 inj__c_ty_2Epair_2Eprod_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar: tp__c_ty_2Epair_2Eprod_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar > $i ).
% 5.64/5.89
% 5.64/5.89 thf(stp_surj_c_ty_2Epair_2Eprod_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar,type,
% 5.64/5.89 surj__c_ty_2Epair_2Eprod_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar: $i > tp__c_ty_2Epair_2Eprod_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar ).
% 5.64/5.89
% 5.64/5.89 thf(stp_inj_surj_c_ty_2Epair_2Eprod_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar,axiom,
% 5.64/5.89 ! [X: tp__c_ty_2Epair_2Eprod_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar] :
% 5.64/5.89 ( ( surj__c_ty_2Epair_2Eprod_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( inj__c_ty_2Epair_2Eprod_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar @ X ) )
% 5.64/5.89 = X ) ).
% 5.64/5.89
% 5.64/5.89 thf(stp_inj_mem_c_ty_2Epair_2Eprod_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar,axiom,
% 5.64/5.89 ! [X: tp__c_ty_2Epair_2Eprod_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar] : ( mem @ ( inj__c_ty_2Epair_2Eprod_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar @ X ) @ ( ty_2Epair_2Eprod @ ty_2Estring_2Echar @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(stp_iso_mem_c_ty_2Epair_2Eprod_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar,axiom,
% 5.64/5.89 ! [X: $i] :
% 5.64/5.89 ( ( mem @ X @ ( ty_2Epair_2Eprod @ ty_2Estring_2Echar @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) )
% 5.64/5.89 => ( X
% 5.64/5.89 = ( inj__c_ty_2Epair_2Eprod_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( surj__c_ty_2Epair_2Eprod_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar @ X ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(stp_c_ty_2Elist_2Elist_ty_2Estring_2Echar,type,
% 5.64/5.89 tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar: $tType ).
% 5.64/5.89
% 5.64/5.89 thf(stp_inj_c_ty_2Elist_2Elist_ty_2Estring_2Echar,type,
% 5.64/5.89 inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar > $i ).
% 5.64/5.89
% 5.64/5.89 thf(stp_surj_c_ty_2Elist_2Elist_ty_2Estring_2Echar,type,
% 5.64/5.89 surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar: $i > tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar ).
% 5.64/5.89
% 5.64/5.89 thf(stp_inj_surj_c_ty_2Elist_2Elist_ty_2Estring_2Echar,axiom,
% 5.64/5.89 ! [X: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar] :
% 5.64/5.89 ( ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ X ) )
% 5.64/5.89 = X ) ).
% 5.64/5.89
% 5.64/5.89 thf(stp_inj_mem_c_ty_2Elist_2Elist_ty_2Estring_2Echar,axiom,
% 5.64/5.89 ! [X: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar] : ( mem @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ X ) @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(stp_iso_mem_c_ty_2Elist_2Elist_ty_2Estring_2Echar,axiom,
% 5.64/5.89 ! [X: $i] :
% 5.64/5.89 ( ( mem @ X @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) )
% 5.64/5.89 => ( X
% 5.64/5.89 = ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ X ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(tp_c_2Estring_2EDEST__STRING,type,
% 5.64/5.89 c_2Estring_2EDEST__STRING: $i ).
% 5.64/5.89
% 5.64/5.89 thf(mem_c_2Estring_2EDEST__STRING,axiom,
% 5.64/5.89 mem @ c_2Estring_2EDEST__STRING @ ( arr @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Estring_2Echar @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(tp_c_2Estring_2EEXPLODE,type,
% 5.64/5.89 c_2Estring_2EEXPLODE: $i ).
% 5.64/5.89
% 5.64/5.89 thf(mem_c_2Estring_2EEXPLODE,axiom,
% 5.64/5.89 mem @ c_2Estring_2EEXPLODE @ ( arr @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(stp_c_ty_2Epair_2Eprod_c_ty_2Elist_2Elist_ty_2Estring_2Echar_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Eoption_2Eoption_ty_2Enum_2Enum,type,
% 5.64/5.89 tp__c_ty_2Epair_2Eprod_c_ty_2Elist_2Elist_ty_2Estring_2Echar_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Eoption_2Eoption_ty_2Enum_2Enum: $tType ).
% 5.64/5.89
% 5.64/5.89 thf(stp_inj_c_ty_2Epair_2Eprod_c_ty_2Elist_2Elist_ty_2Estring_2Echar_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Eoption_2Eoption_ty_2Enum_2Enum,type,
% 5.64/5.89 inj__c_ty_2Epair_2Eprod_c_ty_2Elist_2Elist_ty_2Estring_2Echar_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Eoption_2Eoption_ty_2Enum_2Enum: tp__c_ty_2Epair_2Eprod_c_ty_2Elist_2Elist_ty_2Estring_2Echar_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Eoption_2Eoption_ty_2Enum_2Enum > $i ).
% 5.64/5.89
% 5.64/5.89 thf(stp_surj_c_ty_2Epair_2Eprod_c_ty_2Elist_2Elist_ty_2Estring_2Echar_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Eoption_2Eoption_ty_2Enum_2Enum,type,
% 5.64/5.89 surj__c_ty_2Epair_2Eprod_c_ty_2Elist_2Elist_ty_2Estring_2Echar_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Eoption_2Eoption_ty_2Enum_2Enum: $i > tp__c_ty_2Epair_2Eprod_c_ty_2Elist_2Elist_ty_2Estring_2Echar_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Eoption_2Eoption_ty_2Enum_2Enum ).
% 5.64/5.89
% 5.64/5.89 thf(stp_inj_surj_c_ty_2Epair_2Eprod_c_ty_2Elist_2Elist_ty_2Estring_2Echar_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Eoption_2Eoption_ty_2Enum_2Enum,axiom,
% 5.64/5.89 ! [X: tp__c_ty_2Epair_2Eprod_c_ty_2Elist_2Elist_ty_2Estring_2Echar_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Eoption_2Eoption_ty_2Enum_2Enum] :
% 5.64/5.89 ( ( surj__c_ty_2Epair_2Eprod_c_ty_2Elist_2Elist_ty_2Estring_2Echar_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ ( inj__c_ty_2Epair_2Eprod_c_ty_2Elist_2Elist_ty_2Estring_2Echar_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ X ) )
% 5.64/5.89 = X ) ).
% 5.64/5.89
% 5.64/5.89 thf(stp_inj_mem_c_ty_2Epair_2Eprod_c_ty_2Elist_2Elist_ty_2Estring_2Echar_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Eoption_2Eoption_ty_2Enum_2Enum,axiom,
% 5.64/5.89 ! [X: tp__c_ty_2Epair_2Eprod_c_ty_2Elist_2Elist_ty_2Estring_2Echar_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Eoption_2Eoption_ty_2Enum_2Enum] : ( mem @ ( inj__c_ty_2Epair_2Eprod_c_ty_2Elist_2Elist_ty_2Estring_2Echar_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ X ) @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Eoption_2Eoption @ ty_2Enum_2Enum ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(stp_iso_mem_c_ty_2Epair_2Eprod_c_ty_2Elist_2Elist_ty_2Estring_2Echar_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Eoption_2Eoption_ty_2Enum_2Enum,axiom,
% 5.64/5.89 ! [X: $i] :
% 5.64/5.89 ( ( mem @ X @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Eoption_2Eoption @ ty_2Enum_2Enum ) ) ) )
% 5.64/5.89 => ( X
% 5.64/5.89 = ( inj__c_ty_2Epair_2Eprod_c_ty_2Elist_2Elist_ty_2Estring_2Echar_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ ( surj__c_ty_2Epair_2Eprod_c_ty_2Elist_2Elist_ty_2Estring_2Echar_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ X ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(stp_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Eoption_2Eoption_ty_2Enum_2Enum,type,
% 5.64/5.89 tp__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Eoption_2Eoption_ty_2Enum_2Enum: $tType ).
% 5.64/5.89
% 5.64/5.89 thf(stp_inj_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Eoption_2Eoption_ty_2Enum_2Enum,type,
% 5.64/5.89 inj__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Eoption_2Eoption_ty_2Enum_2Enum: tp__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Eoption_2Eoption_ty_2Enum_2Enum > $i ).
% 5.64/5.89
% 5.64/5.89 thf(stp_surj_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Eoption_2Eoption_ty_2Enum_2Enum,type,
% 5.64/5.89 surj__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Eoption_2Eoption_ty_2Enum_2Enum: $i > tp__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Eoption_2Eoption_ty_2Enum_2Enum ).
% 5.64/5.89
% 5.64/5.89 thf(stp_inj_surj_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Eoption_2Eoption_ty_2Enum_2Enum,axiom,
% 5.64/5.89 ! [X: tp__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Eoption_2Eoption_ty_2Enum_2Enum] :
% 5.64/5.89 ( ( surj__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ ( inj__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ X ) )
% 5.64/5.89 = X ) ).
% 5.64/5.89
% 5.64/5.89 thf(stp_inj_mem_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Eoption_2Eoption_ty_2Enum_2Enum,axiom,
% 5.64/5.89 ! [X: tp__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Eoption_2Eoption_ty_2Enum_2Enum] : ( mem @ ( inj__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ X ) @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Eoption_2Eoption @ ty_2Enum_2Enum ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(stp_iso_mem_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Eoption_2Eoption_ty_2Enum_2Enum,axiom,
% 5.64/5.89 ! [X: $i] :
% 5.64/5.89 ( ( mem @ X @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Eoption_2Eoption @ ty_2Enum_2Enum ) ) )
% 5.64/5.89 => ( X
% 5.64/5.89 = ( inj__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ ( surj__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ X ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(tp_c_2Estring_2EEXTRACT,type,
% 5.64/5.89 c_2Estring_2EEXTRACT: $i ).
% 5.64/5.89
% 5.64/5.89 thf(mem_c_2Estring_2EEXTRACT,axiom,
% 5.64/5.89 mem @ c_2Estring_2EEXTRACT @ ( arr @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Eoption_2Eoption @ ty_2Enum_2Enum ) ) ) @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(stp_c_ty_2Elist_2Elist_c_ty_2Elist_2Elist_ty_2Estring_2Echar,type,
% 5.64/5.89 tp__c_ty_2Elist_2Elist_c_ty_2Elist_2Elist_ty_2Estring_2Echar: $tType ).
% 5.64/5.89
% 5.64/5.89 thf(stp_inj_c_ty_2Elist_2Elist_c_ty_2Elist_2Elist_ty_2Estring_2Echar,type,
% 5.64/5.89 inj__c_ty_2Elist_2Elist_c_ty_2Elist_2Elist_ty_2Estring_2Echar: tp__c_ty_2Elist_2Elist_c_ty_2Elist_2Elist_ty_2Estring_2Echar > $i ).
% 5.64/5.89
% 5.64/5.89 thf(stp_surj_c_ty_2Elist_2Elist_c_ty_2Elist_2Elist_ty_2Estring_2Echar,type,
% 5.64/5.89 surj__c_ty_2Elist_2Elist_c_ty_2Elist_2Elist_ty_2Estring_2Echar: $i > tp__c_ty_2Elist_2Elist_c_ty_2Elist_2Elist_ty_2Estring_2Echar ).
% 5.64/5.89
% 5.64/5.89 thf(stp_inj_surj_c_ty_2Elist_2Elist_c_ty_2Elist_2Elist_ty_2Estring_2Echar,axiom,
% 5.64/5.89 ! [X: tp__c_ty_2Elist_2Elist_c_ty_2Elist_2Elist_ty_2Estring_2Echar] :
% 5.64/5.89 ( ( surj__c_ty_2Elist_2Elist_c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( inj__c_ty_2Elist_2Elist_c_ty_2Elist_2Elist_ty_2Estring_2Echar @ X ) )
% 5.64/5.89 = X ) ).
% 5.64/5.89
% 5.64/5.89 thf(stp_inj_mem_c_ty_2Elist_2Elist_c_ty_2Elist_2Elist_ty_2Estring_2Echar,axiom,
% 5.64/5.89 ! [X: tp__c_ty_2Elist_2Elist_c_ty_2Elist_2Elist_ty_2Estring_2Echar] : ( mem @ ( inj__c_ty_2Elist_2Elist_c_ty_2Elist_2Elist_ty_2Estring_2Echar @ X ) @ ( ty_2Elist_2Elist @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(stp_iso_mem_c_ty_2Elist_2Elist_c_ty_2Elist_2Elist_ty_2Estring_2Echar,axiom,
% 5.64/5.89 ! [X: $i] :
% 5.64/5.89 ( ( mem @ X @ ( ty_2Elist_2Elist @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) )
% 5.64/5.89 => ( X
% 5.64/5.89 = ( inj__c_ty_2Elist_2Elist_c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( surj__c_ty_2Elist_2Elist_c_ty_2Elist_2Elist_ty_2Estring_2Echar @ X ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(tp_c_2Estring_2EFIELDS,type,
% 5.64/5.89 c_2Estring_2EFIELDS: $i ).
% 5.64/5.89
% 5.64/5.89 thf(mem_c_2Estring_2EFIELDS,axiom,
% 5.64/5.89 mem @ c_2Estring_2EFIELDS @ ( arr @ ( arr @ ty_2Estring_2Echar @ bool ) @ ( arr @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ ( ty_2Elist_2Elist @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(tp_c_2Estring_2EIMPLODE,type,
% 5.64/5.89 c_2Estring_2EIMPLODE: $i ).
% 5.64/5.89
% 5.64/5.89 thf(mem_c_2Estring_2EIMPLODE,axiom,
% 5.64/5.89 mem @ c_2Estring_2EIMPLODE @ ( arr @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(tp_c_2Estring_2EORD,type,
% 5.64/5.89 c_2Estring_2EORD: $i ).
% 5.64/5.89
% 5.64/5.89 thf(mem_c_2Estring_2EORD,axiom,
% 5.64/5.89 mem @ c_2Estring_2EORD @ ( arr @ ty_2Estring_2Echar @ ty_2Enum_2Enum ) ).
% 5.64/5.89
% 5.64/5.89 thf(stp_fo_c_2Estring_2EORD,type,
% 5.64/5.89 fo__c_2Estring_2EORD: tp__ty_2Estring_2Echar > tp__ty_2Enum_2Enum ).
% 5.64/5.89
% 5.64/5.89 thf(stp_eq_fo_c_2Estring_2EORD,axiom,
% 5.64/5.89 ! [X0: tp__ty_2Estring_2Echar] :
% 5.64/5.89 ( ( inj__ty_2Enum_2Enum @ ( fo__c_2Estring_2EORD @ X0 ) )
% 5.64/5.89 = ( ap @ c_2Estring_2EORD @ ( inj__ty_2Estring_2Echar @ X0 ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(tp_c_2Estring_2ESTR,type,
% 5.64/5.89 c_2Estring_2ESTR: $i ).
% 5.64/5.89
% 5.64/5.89 thf(mem_c_2Estring_2ESTR,axiom,
% 5.64/5.89 mem @ c_2Estring_2ESTR @ ( arr @ ty_2Estring_2Echar @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(stp_c_ty_2Epair_2Eprod_c_ty_2Elist_2Elist_ty_2Estring_2Echar_ty_2Enum_2Enum,type,
% 5.64/5.89 tp__c_ty_2Epair_2Eprod_c_ty_2Elist_2Elist_ty_2Estring_2Echar_ty_2Enum_2Enum: $tType ).
% 5.64/5.89
% 5.64/5.89 thf(stp_inj_c_ty_2Epair_2Eprod_c_ty_2Elist_2Elist_ty_2Estring_2Echar_ty_2Enum_2Enum,type,
% 5.64/5.89 inj__c_ty_2Epair_2Eprod_c_ty_2Elist_2Elist_ty_2Estring_2Echar_ty_2Enum_2Enum: tp__c_ty_2Epair_2Eprod_c_ty_2Elist_2Elist_ty_2Estring_2Echar_ty_2Enum_2Enum > $i ).
% 5.64/5.89
% 5.64/5.89 thf(stp_surj_c_ty_2Epair_2Eprod_c_ty_2Elist_2Elist_ty_2Estring_2Echar_ty_2Enum_2Enum,type,
% 5.64/5.89 surj__c_ty_2Epair_2Eprod_c_ty_2Elist_2Elist_ty_2Estring_2Echar_ty_2Enum_2Enum: $i > tp__c_ty_2Epair_2Eprod_c_ty_2Elist_2Elist_ty_2Estring_2Echar_ty_2Enum_2Enum ).
% 5.64/5.89
% 5.64/5.89 thf(stp_inj_surj_c_ty_2Epair_2Eprod_c_ty_2Elist_2Elist_ty_2Estring_2Echar_ty_2Enum_2Enum,axiom,
% 5.64/5.89 ! [X: tp__c_ty_2Epair_2Eprod_c_ty_2Elist_2Elist_ty_2Estring_2Echar_ty_2Enum_2Enum] :
% 5.64/5.89 ( ( surj__c_ty_2Epair_2Eprod_c_ty_2Elist_2Elist_ty_2Estring_2Echar_ty_2Enum_2Enum @ ( inj__c_ty_2Epair_2Eprod_c_ty_2Elist_2Elist_ty_2Estring_2Echar_ty_2Enum_2Enum @ X ) )
% 5.64/5.89 = X ) ).
% 5.64/5.89
% 5.64/5.89 thf(stp_inj_mem_c_ty_2Epair_2Eprod_c_ty_2Elist_2Elist_ty_2Estring_2Echar_ty_2Enum_2Enum,axiom,
% 5.64/5.89 ! [X: tp__c_ty_2Epair_2Eprod_c_ty_2Elist_2Elist_ty_2Estring_2Echar_ty_2Enum_2Enum] : ( mem @ ( inj__c_ty_2Epair_2Eprod_c_ty_2Elist_2Elist_ty_2Estring_2Echar_ty_2Enum_2Enum @ X ) @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ ty_2Enum_2Enum ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(stp_iso_mem_c_ty_2Epair_2Eprod_c_ty_2Elist_2Elist_ty_2Estring_2Echar_ty_2Enum_2Enum,axiom,
% 5.64/5.89 ! [X: $i] :
% 5.64/5.89 ( ( mem @ X @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ ty_2Enum_2Enum ) )
% 5.64/5.89 => ( X
% 5.64/5.89 = ( inj__c_ty_2Epair_2Eprod_c_ty_2Elist_2Elist_ty_2Estring_2Echar_ty_2Enum_2Enum @ ( surj__c_ty_2Epair_2Eprod_c_ty_2Elist_2Elist_ty_2Estring_2Echar_ty_2Enum_2Enum @ X ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(tp_c_2Estring_2ESUB,type,
% 5.64/5.89 c_2Estring_2ESUB: $i ).
% 5.64/5.89
% 5.64/5.89 thf(mem_c_2Estring_2ESUB,axiom,
% 5.64/5.89 mem @ c_2Estring_2ESUB @ ( arr @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ ty_2Enum_2Enum ) @ ty_2Estring_2Echar ) ).
% 5.64/5.89
% 5.64/5.89 thf(stp_fo_c_2Estring_2ESUB,type,
% 5.64/5.89 fo__c_2Estring_2ESUB: tp__c_ty_2Epair_2Eprod_c_ty_2Elist_2Elist_ty_2Estring_2Echar_ty_2Enum_2Enum > tp__ty_2Estring_2Echar ).
% 5.64/5.89
% 5.64/5.89 thf(stp_eq_fo_c_2Estring_2ESUB,axiom,
% 5.64/5.89 ! [X0: tp__c_ty_2Epair_2Eprod_c_ty_2Elist_2Elist_ty_2Estring_2Echar_ty_2Enum_2Enum] :
% 5.64/5.89 ( ( inj__ty_2Estring_2Echar @ ( fo__c_2Estring_2ESUB @ X0 ) )
% 5.64/5.89 = ( ap @ c_2Estring_2ESUB @ ( inj__c_ty_2Epair_2Eprod_c_ty_2Elist_2Elist_ty_2Estring_2Echar_ty_2Enum_2Enum @ X0 ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(stp_c_ty_2Epair_2Eprod_c_ty_2Elist_2Elist_ty_2Estring_2Echar_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum,type,
% 5.64/5.89 tp__c_ty_2Epair_2Eprod_c_ty_2Elist_2Elist_ty_2Estring_2Echar_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum: $tType ).
% 5.64/5.89
% 5.64/5.89 thf(stp_inj_c_ty_2Epair_2Eprod_c_ty_2Elist_2Elist_ty_2Estring_2Echar_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum,type,
% 5.64/5.89 inj__c_ty_2Epair_2Eprod_c_ty_2Elist_2Elist_ty_2Estring_2Echar_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum: tp__c_ty_2Epair_2Eprod_c_ty_2Elist_2Elist_ty_2Estring_2Echar_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum > $i ).
% 5.64/5.89
% 5.64/5.89 thf(stp_surj_c_ty_2Epair_2Eprod_c_ty_2Elist_2Elist_ty_2Estring_2Echar_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum,type,
% 5.64/5.89 surj__c_ty_2Epair_2Eprod_c_ty_2Elist_2Elist_ty_2Estring_2Echar_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum: $i > tp__c_ty_2Epair_2Eprod_c_ty_2Elist_2Elist_ty_2Estring_2Echar_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum ).
% 5.64/5.89
% 5.64/5.89 thf(stp_inj_surj_c_ty_2Epair_2Eprod_c_ty_2Elist_2Elist_ty_2Estring_2Echar_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum,axiom,
% 5.64/5.89 ! [X: tp__c_ty_2Epair_2Eprod_c_ty_2Elist_2Elist_ty_2Estring_2Echar_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum] :
% 5.64/5.89 ( ( surj__c_ty_2Epair_2Eprod_c_ty_2Elist_2Elist_ty_2Estring_2Echar_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum @ ( inj__c_ty_2Epair_2Eprod_c_ty_2Elist_2Elist_ty_2Estring_2Echar_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum @ X ) )
% 5.64/5.89 = X ) ).
% 5.64/5.89
% 5.64/5.89 thf(stp_inj_mem_c_ty_2Epair_2Eprod_c_ty_2Elist_2Elist_ty_2Estring_2Echar_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum,axiom,
% 5.64/5.89 ! [X: tp__c_ty_2Epair_2Eprod_c_ty_2Elist_2Elist_ty_2Estring_2Echar_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum] : ( mem @ ( inj__c_ty_2Epair_2Eprod_c_ty_2Elist_2Elist_ty_2Estring_2Echar_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum @ X ) @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(stp_iso_mem_c_ty_2Epair_2Eprod_c_ty_2Elist_2Elist_ty_2Estring_2Echar_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum,axiom,
% 5.64/5.89 ! [X: $i] :
% 5.64/5.89 ( ( mem @ X @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) )
% 5.64/5.89 => ( X
% 5.64/5.89 = ( inj__c_ty_2Epair_2Eprod_c_ty_2Elist_2Elist_ty_2Estring_2Echar_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum @ ( surj__c_ty_2Epair_2Eprod_c_ty_2Elist_2Elist_ty_2Estring_2Echar_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum @ X ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(tp_c_2Estring_2ESUBSTRING,type,
% 5.64/5.89 c_2Estring_2ESUBSTRING: $i ).
% 5.64/5.89
% 5.64/5.89 thf(mem_c_2Estring_2ESUBSTRING,axiom,
% 5.64/5.89 mem @ c_2Estring_2ESUBSTRING @ ( arr @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(tp_c_2Estring_2ETOCHAR,type,
% 5.64/5.89 c_2Estring_2ETOCHAR: $i ).
% 5.64/5.89
% 5.64/5.89 thf(mem_c_2Estring_2ETOCHAR,axiom,
% 5.64/5.89 mem @ c_2Estring_2ETOCHAR @ ( arr @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ ty_2Estring_2Echar ) ).
% 5.64/5.89
% 5.64/5.89 thf(stp_fo_c_2Estring_2ETOCHAR,type,
% 5.64/5.89 fo__c_2Estring_2ETOCHAR: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar > tp__ty_2Estring_2Echar ).
% 5.64/5.89
% 5.64/5.89 thf(stp_eq_fo_c_2Estring_2ETOCHAR,axiom,
% 5.64/5.89 ! [X0: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar] :
% 5.64/5.89 ( ( inj__ty_2Estring_2Echar @ ( fo__c_2Estring_2ETOCHAR @ X0 ) )
% 5.64/5.89 = ( ap @ c_2Estring_2ETOCHAR @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ X0 ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(tp_c_2Estring_2ETOKENS,type,
% 5.64/5.89 c_2Estring_2ETOKENS: $i ).
% 5.64/5.89
% 5.64/5.89 thf(mem_c_2Estring_2ETOKENS,axiom,
% 5.64/5.89 mem @ c_2Estring_2ETOKENS @ ( arr @ ( arr @ ty_2Estring_2Echar @ bool ) @ ( arr @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ ( ty_2Elist_2Elist @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(tp_c_2Estring_2ETRANSLATE,type,
% 5.64/5.89 c_2Estring_2ETRANSLATE: $i ).
% 5.64/5.89
% 5.64/5.89 thf(mem_c_2Estring_2ETRANSLATE,axiom,
% 5.64/5.89 mem @ c_2Estring_2ETRANSLATE @ ( arr @ ( arr @ ty_2Estring_2Echar @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) @ ( arr @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(tp_c_2Estring_2Echar__ge,type,
% 5.64/5.89 c_2Estring_2Echar__ge: $i ).
% 5.64/5.89
% 5.64/5.89 thf(mem_c_2Estring_2Echar__ge,axiom,
% 5.64/5.89 mem @ c_2Estring_2Echar__ge @ ( arr @ ty_2Estring_2Echar @ ( arr @ ty_2Estring_2Echar @ bool ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(tp_c_2Estring_2Echar__gt,type,
% 5.64/5.89 c_2Estring_2Echar__gt: $i ).
% 5.64/5.89
% 5.64/5.89 thf(mem_c_2Estring_2Echar__gt,axiom,
% 5.64/5.89 mem @ c_2Estring_2Echar__gt @ ( arr @ ty_2Estring_2Echar @ ( arr @ ty_2Estring_2Echar @ bool ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(tp_c_2Estring_2Echar__le,type,
% 5.64/5.89 c_2Estring_2Echar__le: $i ).
% 5.64/5.89
% 5.64/5.89 thf(mem_c_2Estring_2Echar__le,axiom,
% 5.64/5.89 mem @ c_2Estring_2Echar__le @ ( arr @ ty_2Estring_2Echar @ ( arr @ ty_2Estring_2Echar @ bool ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(tp_c_2Estring_2Echar__lt,type,
% 5.64/5.89 c_2Estring_2Echar__lt: $i ).
% 5.64/5.89
% 5.64/5.89 thf(mem_c_2Estring_2Echar__lt,axiom,
% 5.64/5.89 mem @ c_2Estring_2Echar__lt @ ( arr @ ty_2Estring_2Echar @ ( arr @ ty_2Estring_2Echar @ bool ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(tp_c_2Estring_2Echar__size,type,
% 5.64/5.89 c_2Estring_2Echar__size: $i ).
% 5.64/5.89
% 5.64/5.89 thf(mem_c_2Estring_2Echar__size,axiom,
% 5.64/5.89 mem @ c_2Estring_2Echar__size @ ( arr @ ty_2Estring_2Echar @ ty_2Enum_2Enum ) ).
% 5.64/5.89
% 5.64/5.89 thf(stp_fo_c_2Estring_2Echar__size,type,
% 5.64/5.89 fo__c_2Estring_2Echar__size: tp__ty_2Estring_2Echar > tp__ty_2Enum_2Enum ).
% 5.64/5.89
% 5.64/5.89 thf(stp_eq_fo_c_2Estring_2Echar__size,axiom,
% 5.64/5.89 ! [X0: tp__ty_2Estring_2Echar] :
% 5.64/5.89 ( ( inj__ty_2Enum_2Enum @ ( fo__c_2Estring_2Echar__size @ X0 ) )
% 5.64/5.89 = ( ap @ c_2Estring_2Echar__size @ ( inj__ty_2Estring_2Echar @ X0 ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(tp_c_2Estring_2EisAlpha,type,
% 5.64/5.89 c_2Estring_2EisAlpha: $i ).
% 5.64/5.89
% 5.64/5.89 thf(mem_c_2Estring_2EisAlpha,axiom,
% 5.64/5.89 mem @ c_2Estring_2EisAlpha @ ( arr @ ty_2Estring_2Echar @ bool ) ).
% 5.64/5.89
% 5.64/5.89 thf(tp_c_2Estring_2EisAlphaNum,type,
% 5.64/5.89 c_2Estring_2EisAlphaNum: $i ).
% 5.64/5.89
% 5.64/5.89 thf(mem_c_2Estring_2EisAlphaNum,axiom,
% 5.64/5.89 mem @ c_2Estring_2EisAlphaNum @ ( arr @ ty_2Estring_2Echar @ bool ) ).
% 5.64/5.89
% 5.64/5.89 thf(tp_c_2Estring_2EisAscii,type,
% 5.64/5.89 c_2Estring_2EisAscii: $i ).
% 5.64/5.89
% 5.64/5.89 thf(mem_c_2Estring_2EisAscii,axiom,
% 5.64/5.89 mem @ c_2Estring_2EisAscii @ ( arr @ ty_2Estring_2Echar @ bool ) ).
% 5.64/5.89
% 5.64/5.89 thf(tp_c_2Estring_2EisCntrl,type,
% 5.64/5.89 c_2Estring_2EisCntrl: $i ).
% 5.64/5.89
% 5.64/5.89 thf(mem_c_2Estring_2EisCntrl,axiom,
% 5.64/5.89 mem @ c_2Estring_2EisCntrl @ ( arr @ ty_2Estring_2Echar @ bool ) ).
% 5.64/5.89
% 5.64/5.89 thf(tp_c_2Estring_2EisDigit,type,
% 5.64/5.89 c_2Estring_2EisDigit: $i ).
% 5.64/5.89
% 5.64/5.89 thf(mem_c_2Estring_2EisDigit,axiom,
% 5.64/5.89 mem @ c_2Estring_2EisDigit @ ( arr @ ty_2Estring_2Echar @ bool ) ).
% 5.64/5.89
% 5.64/5.89 thf(tp_c_2Estring_2EisGraph,type,
% 5.64/5.89 c_2Estring_2EisGraph: $i ).
% 5.64/5.89
% 5.64/5.89 thf(mem_c_2Estring_2EisGraph,axiom,
% 5.64/5.89 mem @ c_2Estring_2EisGraph @ ( arr @ ty_2Estring_2Echar @ bool ) ).
% 5.64/5.89
% 5.64/5.89 thf(tp_c_2Estring_2EisHexDigit,type,
% 5.64/5.89 c_2Estring_2EisHexDigit: $i ).
% 5.64/5.89
% 5.64/5.89 thf(mem_c_2Estring_2EisHexDigit,axiom,
% 5.64/5.89 mem @ c_2Estring_2EisHexDigit @ ( arr @ ty_2Estring_2Echar @ bool ) ).
% 5.64/5.89
% 5.64/5.89 thf(tp_c_2Estring_2EisLower,type,
% 5.64/5.89 c_2Estring_2EisLower: $i ).
% 5.64/5.89
% 5.64/5.89 thf(mem_c_2Estring_2EisLower,axiom,
% 5.64/5.89 mem @ c_2Estring_2EisLower @ ( arr @ ty_2Estring_2Echar @ bool ) ).
% 5.64/5.89
% 5.64/5.89 thf(tp_c_2Estring_2EisPrint,type,
% 5.64/5.89 c_2Estring_2EisPrint: $i ).
% 5.64/5.89
% 5.64/5.89 thf(mem_c_2Estring_2EisPrint,axiom,
% 5.64/5.89 mem @ c_2Estring_2EisPrint @ ( arr @ ty_2Estring_2Echar @ bool ) ).
% 5.64/5.89
% 5.64/5.89 thf(tp_c_2Estring_2EisPunct,type,
% 5.64/5.89 c_2Estring_2EisPunct: $i ).
% 5.64/5.89
% 5.64/5.89 thf(mem_c_2Estring_2EisPunct,axiom,
% 5.64/5.89 mem @ c_2Estring_2EisPunct @ ( arr @ ty_2Estring_2Echar @ bool ) ).
% 5.64/5.89
% 5.64/5.89 thf(tp_c_2Estring_2EisSpace,type,
% 5.64/5.89 c_2Estring_2EisSpace: $i ).
% 5.64/5.89
% 5.64/5.89 thf(mem_c_2Estring_2EisSpace,axiom,
% 5.64/5.89 mem @ c_2Estring_2EisSpace @ ( arr @ ty_2Estring_2Echar @ bool ) ).
% 5.64/5.89
% 5.64/5.89 thf(tp_c_2Estring_2EisUpper,type,
% 5.64/5.89 c_2Estring_2EisUpper: $i ).
% 5.64/5.89
% 5.64/5.89 thf(mem_c_2Estring_2EisUpper,axiom,
% 5.64/5.89 mem @ c_2Estring_2EisUpper @ ( arr @ ty_2Estring_2Echar @ bool ) ).
% 5.64/5.89
% 5.64/5.89 thf(tp_c_2Estring_2Estring__ge,type,
% 5.64/5.89 c_2Estring_2Estring__ge: $i ).
% 5.64/5.89
% 5.64/5.89 thf(mem_c_2Estring_2Estring__ge,axiom,
% 5.64/5.89 mem @ c_2Estring_2Estring__ge @ ( arr @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ ( arr @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ bool ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(tp_c_2Estring_2Estring__gt,type,
% 5.64/5.89 c_2Estring_2Estring__gt: $i ).
% 5.64/5.89
% 5.64/5.89 thf(mem_c_2Estring_2Estring__gt,axiom,
% 5.64/5.89 mem @ c_2Estring_2Estring__gt @ ( arr @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ ( arr @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ bool ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(tp_c_2Estring_2Estring__le,type,
% 5.64/5.89 c_2Estring_2Estring__le: $i ).
% 5.64/5.89
% 5.64/5.89 thf(mem_c_2Estring_2Estring__le,axiom,
% 5.64/5.89 mem @ c_2Estring_2Estring__le @ ( arr @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ ( arr @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ bool ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(tp_c_2Estring_2Estring__lt,type,
% 5.64/5.89 c_2Estring_2Estring__lt: $i ).
% 5.64/5.89
% 5.64/5.89 thf(mem_c_2Estring_2Estring__lt,axiom,
% 5.64/5.89 mem @ c_2Estring_2Estring__lt @ ( arr @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ ( arr @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ bool ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(tp_c_2Estring_2EtoLower,type,
% 5.64/5.89 c_2Estring_2EtoLower: $i ).
% 5.64/5.89
% 5.64/5.89 thf(mem_c_2Estring_2EtoLower,axiom,
% 5.64/5.89 mem @ c_2Estring_2EtoLower @ ( arr @ ty_2Estring_2Echar @ ty_2Estring_2Echar ) ).
% 5.64/5.89
% 5.64/5.89 thf(stp_fo_c_2Estring_2EtoLower,type,
% 5.64/5.89 fo__c_2Estring_2EtoLower: tp__ty_2Estring_2Echar > tp__ty_2Estring_2Echar ).
% 5.64/5.89
% 5.64/5.89 thf(stp_eq_fo_c_2Estring_2EtoLower,axiom,
% 5.64/5.89 ! [X0: tp__ty_2Estring_2Echar] :
% 5.64/5.89 ( ( inj__ty_2Estring_2Echar @ ( fo__c_2Estring_2EtoLower @ X0 ) )
% 5.64/5.89 = ( ap @ c_2Estring_2EtoLower @ ( inj__ty_2Estring_2Echar @ X0 ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(tp_c_2Estring_2EtoUpper,type,
% 5.64/5.89 c_2Estring_2EtoUpper: $i ).
% 5.64/5.89
% 5.64/5.89 thf(mem_c_2Estring_2EtoUpper,axiom,
% 5.64/5.89 mem @ c_2Estring_2EtoUpper @ ( arr @ ty_2Estring_2Echar @ ty_2Estring_2Echar ) ).
% 5.64/5.89
% 5.64/5.89 thf(stp_fo_c_2Estring_2EtoUpper,type,
% 5.64/5.89 fo__c_2Estring_2EtoUpper: tp__ty_2Estring_2Echar > tp__ty_2Estring_2Echar ).
% 5.64/5.89
% 5.64/5.89 thf(stp_eq_fo_c_2Estring_2EtoUpper,axiom,
% 5.64/5.89 ! [X0: tp__ty_2Estring_2Echar] :
% 5.64/5.89 ( ( inj__ty_2Estring_2Echar @ ( fo__c_2Estring_2EtoUpper @ X0 ) )
% 5.64/5.89 = ( ap @ c_2Estring_2EtoUpper @ ( inj__ty_2Estring_2Echar @ X0 ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(ax_thm_2Estring_2Echar__TY__DEF,axiom,
% 5.64/5.89 ? [V0rep: $i] :
% 5.64/5.89 ( ( mem @ V0rep @ ( arr @ ty_2Estring_2Echar @ ty_2Enum_2Enum ) )
% 5.64/5.89 & ( p
% 5.64/5.89 @ ( ap
% 5.64/5.89 @ ( ap @ ( c_2Ebool_2ETYPE__DEFINITION @ ty_2Enum_2Enum @ ty_2Estring_2Echar )
% 5.64/5.89 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.89 @ ^ [V1n: $i] : ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ V1n ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.64/5.89 @ V0rep ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(ax_thm_2Estring_2Echar__BIJ,axiom,
% 5.64/5.89 ( ! [V0a: tp__ty_2Estring_2Echar] :
% 5.64/5.89 ( ( surj__ty_2Estring_2Echar @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Estring_2EORD @ ( inj__ty_2Estring_2Echar @ V0a ) ) ) )
% 5.64/5.89 = V0a )
% 5.64/5.89 & ! [V1r: tp__ty_2Enum_2Enum] :
% 5.64/5.89 ( ( p
% 5.64/5.89 @ ( ap
% 5.64/5.89 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.89 @ ^ [V2n: $i] : ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ V2n ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) ) )
% 5.64/5.89 @ ( inj__ty_2Enum_2Enum @ V1r ) ) )
% 5.64/5.89 <=> ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Estring_2EORD @ ( ap @ c_2Estring_2ECHR @ ( inj__ty_2Enum_2Enum @ V1r ) ) ) )
% 5.64/5.89 = V1r ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Estring_2EORD__11,axiom,
% 5.64/5.89 ! [V0a: tp__ty_2Estring_2Echar,V1a_27: tp__ty_2Estring_2Echar] :
% 5.64/5.89 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Estring_2EORD @ ( inj__ty_2Estring_2Echar @ V0a ) ) )
% 5.64/5.89 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Estring_2EORD @ ( inj__ty_2Estring_2Echar @ V1a_27 ) ) ) )
% 5.64/5.89 <=> ( V0a = V1a_27 ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Estring_2ECHR__11,axiom,
% 5.64/5.89 ! [V0r: tp__ty_2Enum_2Enum,V1r_27: tp__ty_2Enum_2Enum] :
% 5.64/5.89 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0r ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) ) )
% 5.64/5.89 => ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1r_27 ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) ) )
% 5.64/5.89 => ( ( ( surj__ty_2Estring_2Echar @ ( ap @ c_2Estring_2ECHR @ ( inj__ty_2Enum_2Enum @ V0r ) ) )
% 5.64/5.89 = ( surj__ty_2Estring_2Echar @ ( ap @ c_2Estring_2ECHR @ ( inj__ty_2Enum_2Enum @ V1r_27 ) ) ) )
% 5.64/5.89 <=> ( V0r = V1r_27 ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Estring_2EORD__ONTO,axiom,
% 5.64/5.89 ! [V0r: tp__ty_2Enum_2Enum] :
% 5.64/5.89 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0r ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) ) )
% 5.64/5.89 <=> ? [V1a: tp__ty_2Estring_2Echar] :
% 5.64/5.89 ( V0r
% 5.64/5.89 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Estring_2EORD @ ( inj__ty_2Estring_2Echar @ V1a ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Estring_2ECHR__ONTO,axiom,
% 5.64/5.89 ! [V0a: tp__ty_2Estring_2Echar] :
% 5.64/5.89 ? [V1r: tp__ty_2Enum_2Enum] :
% 5.64/5.89 ( ( V0a
% 5.64/5.89 = ( surj__ty_2Estring_2Echar @ ( ap @ c_2Estring_2ECHR @ ( inj__ty_2Enum_2Enum @ V1r ) ) ) )
% 5.64/5.89 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1r ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Estring_2ECHR__ORD,axiom,
% 5.64/5.89 ! [V0a: tp__ty_2Estring_2Echar] :
% 5.64/5.89 ( ( surj__ty_2Estring_2Echar @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Estring_2EORD @ ( inj__ty_2Estring_2Echar @ V0a ) ) ) )
% 5.64/5.89 = V0a ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Estring_2EORD__CHR,axiom,
% 5.64/5.89 ! [V0r: tp__ty_2Enum_2Enum] :
% 5.64/5.89 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0r ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) ) )
% 5.64/5.89 <=> ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Estring_2EORD @ ( ap @ c_2Estring_2ECHR @ ( inj__ty_2Enum_2Enum @ V0r ) ) ) )
% 5.64/5.89 = V0r ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Estring_2EORD__CHR__RWT,axiom,
% 5.64/5.89 ! [V0r: tp__ty_2Enum_2Enum] :
% 5.64/5.89 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0r ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) ) )
% 5.64/5.89 => ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Estring_2EORD @ ( ap @ c_2Estring_2ECHR @ ( inj__ty_2Enum_2Enum @ V0r ) ) ) )
% 5.64/5.89 = V0r ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Estring_2EORD__CHR__COMPUTE,axiom,
% 5.64/5.89 ! [V0_3E_20255: $i] :
% 5.64/5.89 ( ( mem @ V0_3E_20255 @ bool )
% 5.64/5.89 => ! [V1n: tp__ty_2Enum_2Enum] :
% 5.64/5.89 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Estring_2EORD @ ( ap @ c_2Estring_2ECHR @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.64/5.89 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ecombin_2EFAIL @ ( arr @ ty_2Estring_2Echar @ ty_2Enum_2Enum ) @ bool ) @ c_2Estring_2EORD ) @ V0_3E_20255 ) @ ( ap @ c_2Estring_2ECHR @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Estring_2EORD__BOUND,axiom,
% 5.64/5.89 ! [V0c: tp__ty_2Estring_2Echar] : ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Estring_2EORD @ ( inj__ty_2Estring_2Echar @ V0c ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Estring_2Echar__nchotomy,axiom,
% 5.64/5.89 ! [V0c: tp__ty_2Estring_2Echar] :
% 5.64/5.89 ? [V1n: tp__ty_2Enum_2Enum] :
% 5.64/5.89 ( V0c
% 5.64/5.89 = ( surj__ty_2Estring_2Echar @ ( ap @ c_2Estring_2ECHR @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Estring_2Eranged__char__nchotomy,axiom,
% 5.64/5.89 ! [V0c: tp__ty_2Estring_2Echar] :
% 5.64/5.89 ? [V1n: tp__ty_2Enum_2Enum] :
% 5.64/5.89 ( ( V0c
% 5.64/5.89 = ( surj__ty_2Estring_2Echar @ ( ap @ c_2Estring_2ECHR @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.64/5.89 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(ax_thm_2Estring_2EisLower__def,axiom,
% 5.64/5.89 ! [V0c: tp__ty_2Estring_2Echar] :
% 5.64/5.89 ( ( p @ ( ap @ c_2Estring_2EisLower @ ( inj__ty_2Estring_2Echar @ V0c ) ) )
% 5.64/5.89 <=> ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) @ ( ap @ c_2Estring_2EORD @ ( inj__ty_2Estring_2Echar @ V0c ) ) ) )
% 5.64/5.89 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Estring_2EORD @ ( inj__ty_2Estring_2Echar @ V0c ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(ax_thm_2Estring_2EisUpper__def,axiom,
% 5.64/5.89 ! [V0c: tp__ty_2Estring_2Echar] :
% 5.64/5.89 ( ( p @ ( ap @ c_2Estring_2EisUpper @ ( inj__ty_2Estring_2Echar @ V0c ) ) )
% 5.64/5.89 <=> ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) @ ( ap @ c_2Estring_2EORD @ ( inj__ty_2Estring_2Echar @ V0c ) ) ) )
% 5.64/5.89 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Estring_2EORD @ ( inj__ty_2Estring_2Echar @ V0c ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(ax_thm_2Estring_2EisDigit__def,axiom,
% 5.64/5.89 ! [V0c: tp__ty_2Estring_2Echar] :
% 5.64/5.89 ( ( p @ ( ap @ c_2Estring_2EisDigit @ ( inj__ty_2Estring_2Echar @ V0c ) ) )
% 5.64/5.89 <=> ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) @ ( ap @ c_2Estring_2EORD @ ( inj__ty_2Estring_2Echar @ V0c ) ) ) )
% 5.64/5.89 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Estring_2EORD @ ( inj__ty_2Estring_2Echar @ V0c ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(ax_thm_2Estring_2EisAlpha__def,axiom,
% 5.64/5.89 ! [V0c: tp__ty_2Estring_2Echar] :
% 5.64/5.89 ( ( p @ ( ap @ c_2Estring_2EisAlpha @ ( inj__ty_2Estring_2Echar @ V0c ) ) )
% 5.64/5.89 <=> ( ( p @ ( ap @ c_2Estring_2EisLower @ ( inj__ty_2Estring_2Echar @ V0c ) ) )
% 5.64/5.89 | ( p @ ( ap @ c_2Estring_2EisUpper @ ( inj__ty_2Estring_2Echar @ V0c ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(ax_thm_2Estring_2EisHexDigit__def,axiom,
% 5.64/5.89 ! [V0c: tp__ty_2Estring_2Echar] :
% 5.64/5.89 ( ( p @ ( ap @ c_2Estring_2EisHexDigit @ ( inj__ty_2Estring_2Echar @ V0c ) ) )
% 5.64/5.89 <=> ( ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) @ ( ap @ c_2Estring_2EORD @ ( inj__ty_2Estring_2Echar @ V0c ) ) ) )
% 5.64/5.89 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Estring_2EORD @ ( inj__ty_2Estring_2Echar @ V0c ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) )
% 5.64/5.89 | ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) @ ( ap @ c_2Estring_2EORD @ ( inj__ty_2Estring_2Echar @ V0c ) ) ) )
% 5.64/5.89 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Estring_2EORD @ ( inj__ty_2Estring_2Echar @ V0c ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) )
% 5.64/5.89 | ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) @ ( ap @ c_2Estring_2EORD @ ( inj__ty_2Estring_2Echar @ V0c ) ) ) )
% 5.64/5.89 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Estring_2EORD @ ( inj__ty_2Estring_2Echar @ V0c ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(ax_thm_2Estring_2EisAlphaNum__def,axiom,
% 5.64/5.89 ! [V0c: tp__ty_2Estring_2Echar] :
% 5.64/5.89 ( ( p @ ( ap @ c_2Estring_2EisAlphaNum @ ( inj__ty_2Estring_2Echar @ V0c ) ) )
% 5.64/5.89 <=> ( ( p @ ( ap @ c_2Estring_2EisAlpha @ ( inj__ty_2Estring_2Echar @ V0c ) ) )
% 5.64/5.89 | ( p @ ( ap @ c_2Estring_2EisDigit @ ( inj__ty_2Estring_2Echar @ V0c ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(ax_thm_2Estring_2EisPrint__def,axiom,
% 5.64/5.89 ! [V0c: tp__ty_2Estring_2Echar] :
% 5.64/5.89 ( ( p @ ( ap @ c_2Estring_2EisPrint @ ( inj__ty_2Estring_2Echar @ V0c ) ) )
% 5.64/5.89 <=> ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) @ ( ap @ c_2Estring_2EORD @ ( inj__ty_2Estring_2Echar @ V0c ) ) ) )
% 5.64/5.89 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Estring_2EORD @ ( inj__ty_2Estring_2Echar @ V0c ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(ax_thm_2Estring_2EisSpace__def,axiom,
% 5.64/5.89 ! [V0c: tp__ty_2Estring_2Echar] :
% 5.64/5.89 ( ( p @ ( ap @ c_2Estring_2EisSpace @ ( inj__ty_2Estring_2Echar @ V0c ) ) )
% 5.64/5.89 <=> ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Estring_2EORD @ ( inj__ty_2Estring_2Echar @ V0c ) ) )
% 5.64/5.89 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) )
% 5.64/5.89 | ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ c_2Estring_2EORD @ ( inj__ty_2Estring_2Echar @ V0c ) ) ) )
% 5.64/5.89 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Estring_2EORD @ ( inj__ty_2Estring_2Echar @ V0c ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(ax_thm_2Estring_2EisGraph__def,axiom,
% 5.64/5.89 ! [V0c: tp__ty_2Estring_2Echar] :
% 5.64/5.89 ( ( p @ ( ap @ c_2Estring_2EisGraph @ ( inj__ty_2Estring_2Echar @ V0c ) ) )
% 5.64/5.89 <=> ( ( p @ ( ap @ c_2Estring_2EisPrint @ ( inj__ty_2Estring_2Echar @ V0c ) ) )
% 5.64/5.89 & ~ ( p @ ( ap @ c_2Estring_2EisSpace @ ( inj__ty_2Estring_2Echar @ V0c ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(ax_thm_2Estring_2EisPunct__def,axiom,
% 5.64/5.89 ! [V0c: tp__ty_2Estring_2Echar] :
% 5.64/5.89 ( ( p @ ( ap @ c_2Estring_2EisPunct @ ( inj__ty_2Estring_2Echar @ V0c ) ) )
% 5.64/5.89 <=> ( ( p @ ( ap @ c_2Estring_2EisGraph @ ( inj__ty_2Estring_2Echar @ V0c ) ) )
% 5.64/5.89 & ~ ( p @ ( ap @ c_2Estring_2EisAlphaNum @ ( inj__ty_2Estring_2Echar @ V0c ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(ax_thm_2Estring_2EisAscii__def,axiom,
% 5.64/5.89 ! [V0c: tp__ty_2Estring_2Echar] :
% 5.64/5.89 ( ( p @ ( ap @ c_2Estring_2EisAscii @ ( inj__ty_2Estring_2Echar @ V0c ) ) )
% 5.64/5.89 <=> ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Estring_2EORD @ ( inj__ty_2Estring_2Echar @ V0c ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(ax_thm_2Estring_2EisCntrl__def,axiom,
% 5.64/5.89 ! [V0c: tp__ty_2Estring_2Echar] :
% 5.64/5.89 ( ( p @ ( ap @ c_2Estring_2EisCntrl @ ( inj__ty_2Estring_2Echar @ V0c ) ) )
% 5.64/5.89 <=> ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Estring_2EORD @ ( inj__ty_2Estring_2Echar @ V0c ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) )
% 5.64/5.89 | ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) @ ( ap @ c_2Estring_2EORD @ ( inj__ty_2Estring_2Echar @ V0c ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(ax_thm_2Estring_2EtoLower__def,axiom,
% 5.64/5.89 ! [V0c: tp__ty_2Estring_2Echar] :
% 5.64/5.89 ( ( surj__ty_2Estring_2Echar @ ( ap @ c_2Estring_2EtoLower @ ( inj__ty_2Estring_2Echar @ V0c ) ) )
% 5.64/5.89 = ( surj__ty_2Estring_2Echar @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Estring_2Echar ) @ ( ap @ c_2Estring_2EisUpper @ ( inj__ty_2Estring_2Echar @ V0c ) ) ) @ ( ap @ c_2Estring_2ECHR @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Estring_2EORD @ ( inj__ty_2Estring_2Echar @ V0c ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) @ ( inj__ty_2Estring_2Echar @ V0c ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(ax_thm_2Estring_2EtoUpper__def,axiom,
% 5.64/5.89 ! [V0c: tp__ty_2Estring_2Echar] :
% 5.64/5.89 ( ( surj__ty_2Estring_2Echar @ ( ap @ c_2Estring_2EtoUpper @ ( inj__ty_2Estring_2Echar @ V0c ) ) )
% 5.64/5.89 = ( surj__ty_2Estring_2Echar @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Estring_2Echar ) @ ( ap @ c_2Estring_2EisLower @ ( inj__ty_2Estring_2Echar @ V0c ) ) ) @ ( ap @ c_2Estring_2ECHR @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ c_2Estring_2EORD @ ( inj__ty_2Estring_2Echar @ V0c ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) @ ( inj__ty_2Estring_2Echar @ V0c ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(ax_thm_2Estring_2Echar__lt__def,axiom,
% 5.64/5.89 ! [V0a: tp__ty_2Estring_2Echar,V1b: tp__ty_2Estring_2Echar] :
% 5.64/5.89 ( ( p @ ( ap @ ( ap @ c_2Estring_2Echar__lt @ ( inj__ty_2Estring_2Echar @ V0a ) ) @ ( inj__ty_2Estring_2Echar @ V1b ) ) )
% 5.64/5.89 <=> ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Estring_2EORD @ ( inj__ty_2Estring_2Echar @ V0a ) ) ) @ ( ap @ c_2Estring_2EORD @ ( inj__ty_2Estring_2Echar @ V1b ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(ax_thm_2Estring_2Echar__le__def,axiom,
% 5.64/5.89 ! [V0a: tp__ty_2Estring_2Echar,V1b: tp__ty_2Estring_2Echar] :
% 5.64/5.89 ( ( p @ ( ap @ ( ap @ c_2Estring_2Echar__le @ ( inj__ty_2Estring_2Echar @ V0a ) ) @ ( inj__ty_2Estring_2Echar @ V1b ) ) )
% 5.64/5.89 <=> ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Estring_2EORD @ ( inj__ty_2Estring_2Echar @ V0a ) ) ) @ ( ap @ c_2Estring_2EORD @ ( inj__ty_2Estring_2Echar @ V1b ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(ax_thm_2Estring_2Echar__gt__def,axiom,
% 5.64/5.89 ! [V0a: tp__ty_2Estring_2Echar,V1b: tp__ty_2Estring_2Echar] :
% 5.64/5.89 ( ( p @ ( ap @ ( ap @ c_2Estring_2Echar__gt @ ( inj__ty_2Estring_2Echar @ V0a ) ) @ ( inj__ty_2Estring_2Echar @ V1b ) ) )
% 5.64/5.89 <=> ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ c_2Estring_2EORD @ ( inj__ty_2Estring_2Echar @ V0a ) ) ) @ ( ap @ c_2Estring_2EORD @ ( inj__ty_2Estring_2Echar @ V1b ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(ax_thm_2Estring_2Echar__ge__def,axiom,
% 5.64/5.89 ! [V0a: tp__ty_2Estring_2Echar,V1b: tp__ty_2Estring_2Echar] :
% 5.64/5.89 ( ( p @ ( ap @ ( ap @ c_2Estring_2Echar__ge @ ( inj__ty_2Estring_2Echar @ V0a ) ) @ ( inj__ty_2Estring_2Echar @ V1b ) ) )
% 5.64/5.89 <=> ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( ap @ c_2Estring_2EORD @ ( inj__ty_2Estring_2Echar @ V0a ) ) ) @ ( ap @ c_2Estring_2EORD @ ( inj__ty_2Estring_2Echar @ V1b ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Estring_2ECHAR__EQ__THM,axiom,
% 5.64/5.89 ! [V0c1: tp__ty_2Estring_2Echar,V1c2: tp__ty_2Estring_2Echar] :
% 5.64/5.89 ( ( V0c1 = V1c2 )
% 5.64/5.89 <=> ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Estring_2EORD @ ( inj__ty_2Estring_2Echar @ V0c1 ) ) )
% 5.64/5.89 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Estring_2EORD @ ( inj__ty_2Estring_2Echar @ V1c2 ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Estring_2ECHAR__INDUCT__THM,axiom,
% 5.64/5.89 ! [V0P: $i] :
% 5.64/5.89 ( ( mem @ V0P @ ( arr @ ty_2Estring_2Echar @ bool ) )
% 5.64/5.89 => ( ! [V1n: tp__ty_2Enum_2Enum] :
% 5.64/5.89 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) ) )
% 5.64/5.89 => ( p @ ( ap @ V0P @ ( ap @ c_2Estring_2ECHR @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) )
% 5.64/5.89 => ! [V2c: tp__ty_2Estring_2Echar] : ( p @ ( ap @ V0P @ ( inj__ty_2Estring_2Echar @ V2c ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(ax_thm_2Estring_2Echar__size__def,axiom,
% 5.64/5.89 ! [V0c: tp__ty_2Estring_2Echar] :
% 5.64/5.89 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Estring_2Echar__size @ ( inj__ty_2Estring_2Echar @ V0c ) ) )
% 5.64/5.89 = fo__c_2Enum_2E0 ) ).
% 5.64/5.89
% 5.64/5.89 thf(ax_thm_2Estring_2ESUB__def,axiom,
% 5.64/5.89 ! [V0s: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar,V1n: tp__ty_2Enum_2Enum] :
% 5.64/5.89 ( ( surj__ty_2Estring_2Echar @ ( ap @ c_2Estring_2ESUB @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ ty_2Enum_2Enum ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V0s ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.64/5.89 = ( surj__ty_2Estring_2Echar @ ( ap @ ( ap @ ( c_2Elist_2EEL @ ty_2Estring_2Echar ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V0s ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(ax_thm_2Estring_2ESTR__def,axiom,
% 5.64/5.89 ! [V0c: tp__ty_2Estring_2Echar] :
% 5.64/5.89 ( ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ c_2Estring_2ESTR @ ( inj__ty_2Estring_2Echar @ V0c ) ) )
% 5.64/5.89 = ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ty_2Estring_2Echar ) @ ( inj__ty_2Estring_2Echar @ V0c ) ) @ ( c_2Elist_2ENIL @ ty_2Estring_2Echar ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(ax_thm_2Estring_2ETOCHAR__primitive__def,axiom,
% 5.64/5.89 ( c_2Estring_2ETOCHAR
% 5.64/5.89 = ( ap
% 5.64/5.89 @ ( ap @ ( c_2Erelation_2EWFREC @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ ty_2Estring_2Echar )
% 5.64/5.89 @ ( ap @ ( c_2Emin_2E_40 @ ( arr @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ ( arr @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ bool ) ) )
% 5.64/5.89 @ ( lam @ ( arr @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ ( arr @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ bool ) )
% 5.64/5.89 @ ^ [V0R: $i] : ( ap @ ( c_2Erelation_2EWF @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) @ V0R ) ) ) )
% 5.64/5.89 @ ( lam @ ( arr @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ ty_2Estring_2Echar )
% 5.64/5.89 @ ^ [V1TOCHAR: $i] :
% 5.64/5.89 ( lam @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar )
% 5.64/5.89 @ ^ [V2a: $i] :
% 5.64/5.89 ( ap @ ( ap @ ( ap @ ( c_2Elist_2Elist__CASE @ ty_2Estring_2Echar @ ty_2Estring_2Echar ) @ V2a ) @ ( c_2Ebool_2EARB @ ty_2Estring_2Echar ) )
% 5.64/5.89 @ ( lam @ ty_2Estring_2Echar
% 5.64/5.89 @ ^ [V3c: $i] :
% 5.64/5.89 ( lam @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar )
% 5.64/5.89 @ ^ [V4v1: $i] :
% 5.64/5.89 ( ap @ ( ap @ ( ap @ ( c_2Elist_2Elist__CASE @ ty_2Estring_2Echar @ ty_2Estring_2Echar ) @ V4v1 ) @ ( ap @ ( c_2Ecombin_2EI @ ty_2Estring_2Echar ) @ V3c ) )
% 5.64/5.89 @ ( lam @ ty_2Estring_2Echar
% 5.64/5.89 @ ^ [V5v2: $i] :
% 5.64/5.89 ( lam @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar )
% 5.64/5.89 @ ^ [V6v3: $i] : ( c_2Ebool_2EARB @ ty_2Estring_2Echar ) ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Estring_2ETOCHAR__ind,axiom,
% 5.64/5.89 ! [V0P: $i] :
% 5.64/5.89 ( ( mem @ V0P @ ( arr @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ bool ) )
% 5.64/5.89 => ( ( ! [V1c: tp__ty_2Estring_2Echar] : ( p @ ( ap @ V0P @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ty_2Estring_2Echar ) @ ( inj__ty_2Estring_2Echar @ V1c ) ) @ ( c_2Elist_2ENIL @ ty_2Estring_2Echar ) ) ) )
% 5.64/5.89 & ( p @ ( ap @ V0P @ ( c_2Elist_2ENIL @ ty_2Estring_2Echar ) ) )
% 5.64/5.89 & ! [V2v6: tp__ty_2Estring_2Echar,V3v4: tp__ty_2Estring_2Echar,V4v5: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar] : ( p @ ( ap @ V0P @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ty_2Estring_2Echar ) @ ( inj__ty_2Estring_2Echar @ V2v6 ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ty_2Estring_2Echar ) @ ( inj__ty_2Estring_2Echar @ V3v4 ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V4v5 ) ) ) ) ) )
% 5.64/5.89 => ! [V5v: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar] : ( p @ ( ap @ V0P @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V5v ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Estring_2ETOCHAR__def,axiom,
% 5.64/5.89 ! [V0c: tp__ty_2Estring_2Echar] :
% 5.64/5.89 ( ( surj__ty_2Estring_2Echar @ ( ap @ c_2Estring_2ETOCHAR @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ty_2Estring_2Echar ) @ ( inj__ty_2Estring_2Echar @ V0c ) ) @ ( c_2Elist_2ENIL @ ty_2Estring_2Echar ) ) ) )
% 5.64/5.89 = V0c ) ).
% 5.64/5.89
% 5.64/5.89 thf(ax_thm_2Estring_2ESUBSTRING__def,axiom,
% 5.64/5.89 ! [V0s: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar,V1i: tp__ty_2Enum_2Enum,V2n: tp__ty_2Enum_2Enum] :
% 5.64/5.89 ( ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ c_2Estring_2ESUBSTRING @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V0s ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V1i ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) )
% 5.64/5.89 = ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ ( ap @ ( ap @ ( c_2Erich__list_2ESEG @ ty_2Estring_2Echar ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( inj__ty_2Enum_2Enum @ V1i ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V0s ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(ax_thm_2Estring_2ETRANSLATE__def,axiom,
% 5.64/5.89 ! [V0f: $i] :
% 5.64/5.89 ( ( mem @ V0f @ ( arr @ ty_2Estring_2Echar @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) )
% 5.64/5.89 => ! [V1s: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar] :
% 5.64/5.89 ( ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ ( ap @ c_2Estring_2ETRANSLATE @ V0f ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V1s ) ) )
% 5.64/5.89 = ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ ( c_2Elist_2EFLAT @ ty_2Estring_2Echar ) @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ ty_2Estring_2Echar @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) @ V0f ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V1s ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(stp_c_ty_2Epair_2Eprod_c_ty_2Elist_2Elist_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar,type,
% 5.64/5.89 tp__c_ty_2Epair_2Eprod_c_ty_2Elist_2Elist_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar: $tType ).
% 5.64/5.89
% 5.64/5.89 thf(stp_inj_c_ty_2Epair_2Eprod_c_ty_2Elist_2Elist_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar,type,
% 5.64/5.89 inj__c_ty_2Epair_2Eprod_c_ty_2Elist_2Elist_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar: tp__c_ty_2Epair_2Eprod_c_ty_2Elist_2Elist_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar > $i ).
% 5.64/5.89
% 5.64/5.89 thf(stp_surj_c_ty_2Epair_2Eprod_c_ty_2Elist_2Elist_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar,type,
% 5.64/5.89 surj__c_ty_2Epair_2Eprod_c_ty_2Elist_2Elist_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar: $i > tp__c_ty_2Epair_2Eprod_c_ty_2Elist_2Elist_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar ).
% 5.64/5.89
% 5.64/5.89 thf(stp_inj_surj_c_ty_2Epair_2Eprod_c_ty_2Elist_2Elist_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar,axiom,
% 5.64/5.89 ! [X: tp__c_ty_2Epair_2Eprod_c_ty_2Elist_2Elist_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar] :
% 5.64/5.89 ( ( surj__c_ty_2Epair_2Eprod_c_ty_2Elist_2Elist_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( inj__c_ty_2Epair_2Eprod_c_ty_2Elist_2Elist_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar @ X ) )
% 5.64/5.89 = X ) ).
% 5.64/5.89
% 5.64/5.89 thf(stp_inj_mem_c_ty_2Epair_2Eprod_c_ty_2Elist_2Elist_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar,axiom,
% 5.64/5.89 ! [X: tp__c_ty_2Epair_2Eprod_c_ty_2Elist_2Elist_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar] : ( mem @ ( inj__c_ty_2Epair_2Eprod_c_ty_2Elist_2Elist_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar @ X ) @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(stp_iso_mem_c_ty_2Epair_2Eprod_c_ty_2Elist_2Elist_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar,axiom,
% 5.64/5.89 ! [X: $i] :
% 5.64/5.89 ( ( mem @ X @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) )
% 5.64/5.89 => ( X
% 5.64/5.89 = ( inj__c_ty_2Epair_2Eprod_c_ty_2Elist_2Elist_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( surj__c_ty_2Epair_2Eprod_c_ty_2Elist_2Elist_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar @ X ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Estring_2ETOKENS__ind,axiom,
% 5.64/5.89 ! [V0P_27: $i] :
% 5.64/5.89 ( ( mem @ V0P_27 @ ( arr @ ( arr @ ty_2Estring_2Echar @ bool ) @ ( arr @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ bool ) ) )
% 5.64/5.89 => ( ( ! [V1P: $i] :
% 5.64/5.89 ( ( mem @ V1P @ ( arr @ ty_2Estring_2Echar @ bool ) )
% 5.64/5.89 => ( p @ ( ap @ ( ap @ V0P_27 @ V1P ) @ ( c_2Elist_2ENIL @ ty_2Estring_2Echar ) ) ) )
% 5.64/5.89 & ! [V2P: $i] :
% 5.64/5.89 ( ( mem @ V2P @ ( arr @ ty_2Estring_2Echar @ bool ) )
% 5.64/5.89 => ! [V3h: tp__ty_2Estring_2Echar,V4t: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar] :
% 5.64/5.89 ( ( ! [V5l: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar,V6r: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar] :
% 5.64/5.89 ( ( ( ( surj__c_ty_2Epair_2Eprod_c_ty_2Elist_2Elist_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V5l ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V6r ) ) )
% 5.64/5.89 = ( surj__c_ty_2Epair_2Eprod_c_ty_2Elist_2Elist_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ ( ap @ ( c_2Erich__list_2ESPLITP @ ty_2Estring_2Echar ) @ V2P ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ty_2Estring_2Echar ) @ ( inj__ty_2Estring_2Echar @ V3h ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V4t ) ) ) ) )
% 5.64/5.89 & ( p @ ( ap @ ( c_2Elist_2ENULL @ ty_2Estring_2Echar ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V5l ) ) ) )
% 5.64/5.89 => ( p @ ( ap @ ( ap @ V0P_27 @ V2P ) @ ( ap @ ( c_2Elist_2ETL @ ty_2Estring_2Echar ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V6r ) ) ) ) )
% 5.64/5.89 & ! [V7l: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar,V8r: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar] :
% 5.64/5.89 ( ( ( ( surj__c_ty_2Epair_2Eprod_c_ty_2Elist_2Elist_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V7l ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V8r ) ) )
% 5.64/5.89 = ( surj__c_ty_2Epair_2Eprod_c_ty_2Elist_2Elist_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ ( ap @ ( c_2Erich__list_2ESPLITP @ ty_2Estring_2Echar ) @ V2P ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ty_2Estring_2Echar ) @ ( inj__ty_2Estring_2Echar @ V3h ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V4t ) ) ) ) )
% 5.64/5.89 & ~ ( p @ ( ap @ ( c_2Elist_2ENULL @ ty_2Estring_2Echar ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V7l ) ) ) )
% 5.64/5.89 => ( p @ ( ap @ ( ap @ V0P_27 @ V2P ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V8r ) ) ) ) )
% 5.64/5.89 => ( p @ ( ap @ ( ap @ V0P_27 @ V2P ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ty_2Estring_2Echar ) @ ( inj__ty_2Estring_2Echar @ V3h ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V4t ) ) ) ) ) ) )
% 5.64/5.89 => ! [V9v: $i] :
% 5.64/5.89 ( ( mem @ V9v @ ( arr @ ty_2Estring_2Echar @ bool ) )
% 5.64/5.89 => ! [V10v1: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar] : ( p @ ( ap @ ( ap @ V0P_27 @ V9v ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V10v1 ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Estring_2ETOKENS__def,axiom,
% 5.64/5.89 ( ! [V0P: $i] :
% 5.64/5.89 ( ( mem @ V0P @ ( arr @ ty_2Estring_2Echar @ bool ) )
% 5.64/5.89 => ( ( surj__c_ty_2Elist_2Elist_c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ ( ap @ c_2Estring_2ETOKENS @ V0P ) @ ( c_2Elist_2ENIL @ ty_2Estring_2Echar ) ) )
% 5.64/5.89 = ( surj__c_ty_2Elist_2Elist_c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( c_2Elist_2ENIL @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) ) ) )
% 5.64/5.89 & ! [V1t: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar,V2h: tp__ty_2Estring_2Echar,V3P: $i] :
% 5.64/5.89 ( ( mem @ V3P @ ( arr @ ty_2Estring_2Echar @ bool ) )
% 5.64/5.89 => ( ( surj__c_ty_2Elist_2Elist_c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ ( ap @ c_2Estring_2ETOKENS @ V3P ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ty_2Estring_2Echar ) @ ( inj__ty_2Estring_2Echar @ V2h ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V1t ) ) ) )
% 5.64/5.89 = ( surj__c_ty_2Elist_2Elist_c_ty_2Elist_2Elist_ty_2Estring_2Echar
% 5.64/5.89 @ ( ap
% 5.64/5.89 @ ( ap @ ( c_2Ebool_2ELET @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) @ ( ty_2Elist_2Elist @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) )
% 5.64/5.89 @ ( ap @ ( c_2Epair_2EUNCURRY @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ ( ty_2Elist_2Elist @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) )
% 5.64/5.89 @ ( lam @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar )
% 5.64/5.89 @ ^ [V4l: $i] :
% 5.64/5.89 ( lam @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar )
% 5.64/5.89 @ ^ [V5r: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Elist_2Elist @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) ) @ ( ap @ ( c_2Elist_2ENULL @ ty_2Estring_2Echar ) @ V4l ) ) @ ( ap @ ( ap @ c_2Estring_2ETOKENS @ V3P ) @ ( ap @ ( c_2Elist_2ETL @ ty_2Estring_2Echar ) @ V5r ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) @ V4l ) @ ( ap @ ( ap @ c_2Estring_2ETOKENS @ V3P ) @ V5r ) ) ) ) ) ) )
% 5.64/5.89 @ ( ap @ ( ap @ ( c_2Erich__list_2ESPLITP @ ty_2Estring_2Echar ) @ V3P ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ty_2Estring_2Echar ) @ ( inj__ty_2Estring_2Echar @ V2h ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V1t ) ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Estring_2EFIELDS__ind,axiom,
% 5.64/5.89 ! [V0P_27: $i] :
% 5.64/5.89 ( ( mem @ V0P_27 @ ( arr @ ( arr @ ty_2Estring_2Echar @ bool ) @ ( arr @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ bool ) ) )
% 5.64/5.89 => ( ( ! [V1P: $i] :
% 5.64/5.89 ( ( mem @ V1P @ ( arr @ ty_2Estring_2Echar @ bool ) )
% 5.64/5.89 => ( p @ ( ap @ ( ap @ V0P_27 @ V1P ) @ ( c_2Elist_2ENIL @ ty_2Estring_2Echar ) ) ) )
% 5.64/5.89 & ! [V2P: $i] :
% 5.64/5.89 ( ( mem @ V2P @ ( arr @ ty_2Estring_2Echar @ bool ) )
% 5.64/5.89 => ! [V3h: tp__ty_2Estring_2Echar,V4t: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar] :
% 5.64/5.89 ( ( ! [V5l: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar,V6r: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar] :
% 5.64/5.89 ( ( ( ( surj__c_ty_2Epair_2Eprod_c_ty_2Elist_2Elist_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V5l ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V6r ) ) )
% 5.64/5.89 = ( surj__c_ty_2Epair_2Eprod_c_ty_2Elist_2Elist_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ ( ap @ ( c_2Erich__list_2ESPLITP @ ty_2Estring_2Echar ) @ V2P ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ty_2Estring_2Echar ) @ ( inj__ty_2Estring_2Echar @ V3h ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V4t ) ) ) ) )
% 5.64/5.89 & ( p @ ( ap @ ( c_2Elist_2ENULL @ ty_2Estring_2Echar ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V5l ) ) ) )
% 5.64/5.89 => ( p @ ( ap @ ( ap @ V0P_27 @ V2P ) @ ( ap @ ( c_2Elist_2ETL @ ty_2Estring_2Echar ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V6r ) ) ) ) )
% 5.64/5.89 & ! [V7l: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar,V8r: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar] :
% 5.64/5.89 ( ( ( ( surj__c_ty_2Epair_2Eprod_c_ty_2Elist_2Elist_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V7l ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V8r ) ) )
% 5.64/5.89 = ( surj__c_ty_2Epair_2Eprod_c_ty_2Elist_2Elist_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ ( ap @ ( c_2Erich__list_2ESPLITP @ ty_2Estring_2Echar ) @ V2P ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ty_2Estring_2Echar ) @ ( inj__ty_2Estring_2Echar @ V3h ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V4t ) ) ) ) )
% 5.64/5.89 & ~ ( p @ ( ap @ ( c_2Elist_2ENULL @ ty_2Estring_2Echar ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V7l ) ) )
% 5.64/5.89 & ~ ( p @ ( ap @ ( c_2Elist_2ENULL @ ty_2Estring_2Echar ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V8r ) ) ) )
% 5.64/5.89 => ( p @ ( ap @ ( ap @ V0P_27 @ V2P ) @ ( ap @ ( c_2Elist_2ETL @ ty_2Estring_2Echar ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V8r ) ) ) ) ) )
% 5.64/5.89 => ( p @ ( ap @ ( ap @ V0P_27 @ V2P ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ty_2Estring_2Echar ) @ ( inj__ty_2Estring_2Echar @ V3h ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V4t ) ) ) ) ) ) )
% 5.64/5.89 => ! [V9v: $i] :
% 5.64/5.89 ( ( mem @ V9v @ ( arr @ ty_2Estring_2Echar @ bool ) )
% 5.64/5.89 => ! [V10v1: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar] : ( p @ ( ap @ ( ap @ V0P_27 @ V9v ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V10v1 ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Estring_2EFIELDS__def,axiom,
% 5.64/5.89 ( ! [V0P: $i] :
% 5.64/5.89 ( ( mem @ V0P @ ( arr @ ty_2Estring_2Echar @ bool ) )
% 5.64/5.89 => ( ( surj__c_ty_2Elist_2Elist_c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ ( ap @ c_2Estring_2EFIELDS @ V0P ) @ ( c_2Elist_2ENIL @ ty_2Estring_2Echar ) ) )
% 5.64/5.89 = ( surj__c_ty_2Elist_2Elist_c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) @ ( c_2Elist_2ENIL @ ty_2Estring_2Echar ) ) @ ( c_2Elist_2ENIL @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) ) ) ) )
% 5.64/5.89 & ! [V1t: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar,V2h: tp__ty_2Estring_2Echar,V3P: $i] :
% 5.64/5.89 ( ( mem @ V3P @ ( arr @ ty_2Estring_2Echar @ bool ) )
% 5.64/5.89 => ( ( surj__c_ty_2Elist_2Elist_c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ ( ap @ c_2Estring_2EFIELDS @ V3P ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ty_2Estring_2Echar ) @ ( inj__ty_2Estring_2Echar @ V2h ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V1t ) ) ) )
% 5.64/5.89 = ( surj__c_ty_2Elist_2Elist_c_ty_2Elist_2Elist_ty_2Estring_2Echar
% 5.64/5.89 @ ( ap
% 5.64/5.89 @ ( ap @ ( c_2Ebool_2ELET @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) @ ( ty_2Elist_2Elist @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) )
% 5.64/5.89 @ ( ap @ ( c_2Epair_2EUNCURRY @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ ( ty_2Elist_2Elist @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) )
% 5.64/5.89 @ ( lam @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar )
% 5.64/5.89 @ ^ [V4l: $i] :
% 5.64/5.89 ( lam @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar )
% 5.64/5.89 @ ^ [V5r: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Elist_2Elist @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) ) @ ( ap @ ( c_2Elist_2ENULL @ ty_2Estring_2Echar ) @ V4l ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) @ ( c_2Elist_2ENIL @ ty_2Estring_2Echar ) ) @ ( ap @ ( ap @ c_2Estring_2EFIELDS @ V3P ) @ ( ap @ ( c_2Elist_2ETL @ ty_2Estring_2Echar ) @ V5r ) ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Elist_2Elist @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) ) @ ( ap @ ( c_2Elist_2ENULL @ ty_2Estring_2Echar ) @ V5r ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) @ V4l ) @ ( c_2Elist_2ENIL @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) @ V4l ) @ ( ap @ ( ap @ c_2Estring_2EFIELDS @ V3P ) @ ( ap @ ( c_2Elist_2ETL @ ty_2Estring_2Echar ) @ V5r ) ) ) ) ) ) ) ) )
% 5.64/5.89 @ ( ap @ ( ap @ ( c_2Erich__list_2ESPLITP @ ty_2Estring_2Echar ) @ V3P ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ty_2Estring_2Echar ) @ ( inj__ty_2Estring_2Echar @ V2h ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V1t ) ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(ax_thm_2Estring_2EIMPLODE__def,axiom,
% 5.64/5.89 ( ( ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ c_2Estring_2EIMPLODE @ ( c_2Elist_2ENIL @ ty_2Estring_2Echar ) ) )
% 5.64/5.89 = ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( c_2Elist_2ENIL @ ty_2Estring_2Echar ) ) )
% 5.64/5.89 & ! [V0c: tp__ty_2Estring_2Echar,V1cs: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar] :
% 5.64/5.89 ( ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ c_2Estring_2EIMPLODE @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ty_2Estring_2Echar ) @ ( inj__ty_2Estring_2Echar @ V0c ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V1cs ) ) ) )
% 5.64/5.89 = ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ty_2Estring_2Echar ) @ ( inj__ty_2Estring_2Echar @ V0c ) ) @ ( ap @ c_2Estring_2EIMPLODE @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V1cs ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(ax_thm_2Estring_2EEXPLODE__def,axiom,
% 5.64/5.89 ( ( ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ c_2Estring_2EEXPLODE @ ( c_2Elist_2ENIL @ ty_2Estring_2Echar ) ) )
% 5.64/5.89 = ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( c_2Elist_2ENIL @ ty_2Estring_2Echar ) ) )
% 5.64/5.89 & ! [V0c: tp__ty_2Estring_2Echar,V1s: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar] :
% 5.64/5.89 ( ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ c_2Estring_2EEXPLODE @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ty_2Estring_2Echar ) @ ( inj__ty_2Estring_2Echar @ V0c ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V1s ) ) ) )
% 5.64/5.89 = ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ty_2Estring_2Echar ) @ ( inj__ty_2Estring_2Echar @ V0c ) ) @ ( ap @ c_2Estring_2EEXPLODE @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V1s ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Estring_2EIMPLODE__EXPLODE__I,axiom,
% 5.64/5.89 ! [V0s: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar] :
% 5.64/5.89 ( ( ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ c_2Estring_2EEXPLODE @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V0s ) ) )
% 5.64/5.89 = V0s )
% 5.64/5.89 & ( ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ c_2Estring_2EIMPLODE @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V0s ) ) )
% 5.64/5.89 = V0s ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Estring_2EIMPLODE__EXPLODE,axiom,
% 5.64/5.89 ! [V0s: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar] :
% 5.64/5.89 ( ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ c_2Estring_2EIMPLODE @ ( ap @ c_2Estring_2EEXPLODE @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V0s ) ) ) )
% 5.64/5.89 = V0s ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Estring_2EEXPLODE__IMPLODE,axiom,
% 5.64/5.89 ! [V0cs: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar] :
% 5.64/5.89 ( ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ c_2Estring_2EEXPLODE @ ( ap @ c_2Estring_2EIMPLODE @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V0cs ) ) ) )
% 5.64/5.89 = V0cs ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Estring_2EEXPLODE__ONTO,axiom,
% 5.64/5.89 ! [V0cs: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar] :
% 5.64/5.89 ? [V1s: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar] :
% 5.64/5.89 ( V0cs
% 5.64/5.89 = ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ c_2Estring_2EEXPLODE @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V1s ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Estring_2EIMPLODE__ONTO,axiom,
% 5.64/5.89 ! [V0s: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar] :
% 5.64/5.89 ? [V1cs: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar] :
% 5.64/5.89 ( V0s
% 5.64/5.89 = ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ c_2Estring_2EIMPLODE @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V1cs ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Estring_2EEXPLODE__11,axiom,
% 5.64/5.89 ! [V0s1: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar,V1s2: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar] :
% 5.64/5.89 ( ( ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ c_2Estring_2EEXPLODE @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V0s1 ) ) )
% 5.64/5.89 = ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ c_2Estring_2EEXPLODE @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V1s2 ) ) ) )
% 5.64/5.89 <=> ( V0s1 = V1s2 ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Estring_2EIMPLODE__11,axiom,
% 5.64/5.89 ! [V0cs1: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar,V1cs2: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar] :
% 5.64/5.89 ( ( ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ c_2Estring_2EIMPLODE @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V0cs1 ) ) )
% 5.64/5.89 = ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ c_2Estring_2EIMPLODE @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V1cs2 ) ) ) )
% 5.64/5.89 <=> ( V0cs1 = V1cs2 ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Estring_2ESTRING__ACYCLIC,axiom,
% 5.64/5.89 ! [V0s: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar,V1c: tp__ty_2Estring_2Echar] :
% 5.64/5.89 ( ( ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ty_2Estring_2Echar ) @ ( inj__ty_2Estring_2Echar @ V1c ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V0s ) ) )
% 5.64/5.89 != V0s )
% 5.64/5.89 & ( V0s
% 5.64/5.89 != ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ty_2Estring_2Echar ) @ ( inj__ty_2Estring_2Echar @ V1c ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V0s ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(ax_thm_2Estring_2EEXTRACT__primitive__def,axiom,
% 5.64/5.89 ( c_2Estring_2EEXTRACT
% 5.64/5.89 = ( ap
% 5.64/5.89 @ ( ap @ ( c_2Erelation_2EWFREC @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Eoption_2Eoption @ ty_2Enum_2Enum ) ) ) @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) )
% 5.64/5.89 @ ( ap @ ( c_2Emin_2E_40 @ ( arr @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Eoption_2Eoption @ ty_2Enum_2Enum ) ) ) @ ( arr @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Eoption_2Eoption @ ty_2Enum_2Enum ) ) ) @ bool ) ) )
% 5.64/5.89 @ ( lam @ ( arr @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Eoption_2Eoption @ ty_2Enum_2Enum ) ) ) @ ( arr @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Eoption_2Eoption @ ty_2Enum_2Enum ) ) ) @ bool ) )
% 5.64/5.89 @ ^ [V0R: $i] : ( ap @ ( c_2Erelation_2EWF @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Eoption_2Eoption @ ty_2Enum_2Enum ) ) ) ) @ V0R ) ) ) )
% 5.64/5.89 @ ( lam @ ( arr @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Eoption_2Eoption @ ty_2Enum_2Enum ) ) ) @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) )
% 5.64/5.89 @ ^ [V1EXTRACT: $i] :
% 5.64/5.89 ( lam @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Eoption_2Eoption @ ty_2Enum_2Enum ) ) )
% 5.64/5.89 @ ^ [V2a: $i] :
% 5.64/5.89 ( ap @ ( ap @ ( c_2Epair_2Epair__CASE @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Eoption_2Eoption @ ty_2Enum_2Enum ) ) ) @ V2a )
% 5.64/5.89 @ ( lam @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar )
% 5.64/5.89 @ ^ [V3s: $i] :
% 5.64/5.89 ( lam @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Eoption_2Eoption @ ty_2Enum_2Enum ) )
% 5.64/5.89 @ ^ [V4v1: $i] :
% 5.64/5.89 ( ap @ ( ap @ ( c_2Epair_2Epair__CASE @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ ty_2Enum_2Enum @ ( ty_2Eoption_2Eoption @ ty_2Enum_2Enum ) ) @ V4v1 )
% 5.64/5.89 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.89 @ ^ [V5i: $i] :
% 5.64/5.89 ( lam @ ( ty_2Eoption_2Eoption @ ty_2Enum_2Enum )
% 5.64/5.89 @ ^ [V6v3: $i] :
% 5.64/5.89 ( ap @ ( ap @ ( ap @ ( c_2Eoption_2Eoption__CASE @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) @ V6v3 ) @ ( ap @ ( c_2Ecombin_2EI @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) @ ( ap @ c_2Estring_2ESUBSTRING @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) @ V3s ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ V5i ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ ( c_2Elist_2ELENGTH @ ty_2Estring_2Echar ) @ V3s ) ) @ V5i ) ) ) ) ) )
% 5.64/5.89 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.89 @ ^ [V7n: $i] : ( ap @ ( c_2Ecombin_2EI @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) @ ( ap @ c_2Estring_2ESUBSTRING @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) @ V3s ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ V5i ) @ V7n ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Estring_2EEXTRACT__ind,axiom,
% 5.64/5.89 ! [V0P: $i] :
% 5.64/5.89 ( ( mem @ V0P @ ( arr @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Eoption_2Eoption @ ty_2Enum_2Enum ) ) ) @ bool ) )
% 5.64/5.89 => ( ( ! [V1s: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar,V2i: tp__ty_2Enum_2Enum] : ( p @ ( ap @ V0P @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Eoption_2Eoption @ ty_2Enum_2Enum ) ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V1s ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ( ty_2Eoption_2Eoption @ ty_2Enum_2Enum ) ) @ ( inj__ty_2Enum_2Enum @ V2i ) ) @ ( c_2Eoption_2ENONE @ ty_2Enum_2Enum ) ) ) ) )
% 5.64/5.89 & ! [V3s: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar,V4i: tp__ty_2Enum_2Enum,V5n: tp__ty_2Enum_2Enum] : ( p @ ( ap @ V0P @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Eoption_2Eoption @ ty_2Enum_2Enum ) ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V3s ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ( ty_2Eoption_2Eoption @ ty_2Enum_2Enum ) ) @ ( inj__ty_2Enum_2Enum @ V4i ) ) @ ( ap @ ( c_2Eoption_2ESOME @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V5n ) ) ) ) ) ) )
% 5.64/5.89 => ! [V6v: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar,V7v1: tp__ty_2Enum_2Enum,V8v2: tp__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum] : ( p @ ( ap @ V0P @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Eoption_2Eoption @ ty_2Enum_2Enum ) ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V6v ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ( ty_2Eoption_2Eoption @ ty_2Enum_2Enum ) ) @ ( inj__ty_2Enum_2Enum @ V7v1 ) ) @ ( inj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ V8v2 ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Estring_2EEXTRACT__def,axiom,
% 5.64/5.89 ! [V0s: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar,V1i: tp__ty_2Enum_2Enum,V2n: tp__ty_2Enum_2Enum] :
% 5.64/5.89 ( ( ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ c_2Estring_2EEXTRACT @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Eoption_2Eoption @ ty_2Enum_2Enum ) ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V0s ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ( ty_2Eoption_2Eoption @ ty_2Enum_2Enum ) ) @ ( inj__ty_2Enum_2Enum @ V1i ) ) @ ( c_2Eoption_2ENONE @ ty_2Enum_2Enum ) ) ) ) )
% 5.64/5.89 = ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ c_2Estring_2ESUBSTRING @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V0s ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V1i ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ ( c_2Elist_2ELENGTH @ ty_2Estring_2Echar ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V0s ) ) ) @ ( inj__ty_2Enum_2Enum @ V1i ) ) ) ) ) ) )
% 5.64/5.89 & ( ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ c_2Estring_2EEXTRACT @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Eoption_2Eoption @ ty_2Enum_2Enum ) ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V0s ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ( ty_2Eoption_2Eoption @ ty_2Enum_2Enum ) ) @ ( inj__ty_2Enum_2Enum @ V1i ) ) @ ( ap @ ( c_2Eoption_2ESOME @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) ) )
% 5.64/5.89 = ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ c_2Estring_2ESUBSTRING @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V0s ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V1i ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Estring_2ESTRLEN__EXPLODE__THM,axiom,
% 5.64/5.89 ! [V0s: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar] :
% 5.64/5.89 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ ty_2Estring_2Echar ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V0s ) ) )
% 5.64/5.89 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ ty_2Estring_2Echar ) @ ( ap @ c_2Estring_2EEXPLODE @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V0s ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(ax_thm_2Estring_2EDEST__STRING__def,axiom,
% 5.64/5.89 ( ( ( surj__c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ c_2Estring_2EDEST__STRING @ ( c_2Elist_2ENIL @ ty_2Estring_2Echar ) ) )
% 5.64/5.89 = ( surj__c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( c_2Eoption_2ENONE @ ( ty_2Epair_2Eprod @ ty_2Estring_2Echar @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) ) ) )
% 5.64/5.89 & ! [V0c: tp__ty_2Estring_2Echar,V1rst: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar] :
% 5.64/5.89 ( ( surj__c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ c_2Estring_2EDEST__STRING @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ty_2Estring_2Echar ) @ ( inj__ty_2Estring_2Echar @ V0c ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V1rst ) ) ) )
% 5.64/5.89 = ( surj__c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Epair_2Eprod @ ty_2Estring_2Echar @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Estring_2Echar @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) @ ( inj__ty_2Estring_2Echar @ V0c ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V1rst ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Estring_2EDEST__STRING__LEMS,axiom,
% 5.64/5.89 ! [V0c: tp__ty_2Estring_2Echar,V1t: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar,V2s: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar] :
% 5.64/5.89 ( ( ( ( surj__c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ c_2Estring_2EDEST__STRING @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V2s ) ) )
% 5.64/5.89 = ( surj__c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( c_2Eoption_2ENONE @ ( ty_2Epair_2Eprod @ ty_2Estring_2Echar @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) ) ) )
% 5.64/5.89 <=> ( V2s
% 5.64/5.89 = ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( c_2Elist_2ENIL @ ty_2Estring_2Echar ) ) ) )
% 5.64/5.89 & ( ( ( surj__c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ c_2Estring_2EDEST__STRING @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V2s ) ) )
% 5.64/5.89 = ( surj__c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Epair_2Eprod @ ty_2Estring_2Echar @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Estring_2Echar @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) @ ( inj__ty_2Estring_2Echar @ V0c ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V1t ) ) ) ) )
% 5.64/5.89 <=> ( V2s
% 5.64/5.89 = ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ty_2Estring_2Echar ) @ ( inj__ty_2Estring_2Echar @ V0c ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V1t ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Estring_2EEXPLODE__EQNS,axiom,
% 5.64/5.89 ( ( ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ c_2Estring_2EEXPLODE @ ( c_2Elist_2ENIL @ ty_2Estring_2Echar ) ) )
% 5.64/5.89 = ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( c_2Elist_2ENIL @ ty_2Estring_2Echar ) ) )
% 5.64/5.89 & ! [V0c: tp__ty_2Estring_2Echar,V1s: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar] :
% 5.64/5.89 ( ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ c_2Estring_2EEXPLODE @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ty_2Estring_2Echar ) @ ( inj__ty_2Estring_2Echar @ V0c ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V1s ) ) ) )
% 5.64/5.89 = ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ty_2Estring_2Echar ) @ ( inj__ty_2Estring_2Echar @ V0c ) ) @ ( ap @ c_2Estring_2EEXPLODE @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V1s ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Estring_2EIMPLODE__EQNS,axiom,
% 5.64/5.89 ( ( ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ c_2Estring_2EIMPLODE @ ( c_2Elist_2ENIL @ ty_2Estring_2Echar ) ) )
% 5.64/5.89 = ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( c_2Elist_2ENIL @ ty_2Estring_2Echar ) ) )
% 5.64/5.89 & ! [V0c: tp__ty_2Estring_2Echar,V1cs: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar] :
% 5.64/5.89 ( ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ c_2Estring_2EIMPLODE @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ty_2Estring_2Echar ) @ ( inj__ty_2Estring_2Echar @ V0c ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V1cs ) ) ) )
% 5.64/5.89 = ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ty_2Estring_2Echar ) @ ( inj__ty_2Estring_2Echar @ V0c ) ) @ ( ap @ c_2Estring_2EIMPLODE @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V1cs ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Estring_2EIMPLODE__EQ__EMPTYSTRING,axiom,
% 5.64/5.89 ! [V0l: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar] :
% 5.64/5.89 ( ( ( ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ c_2Estring_2EIMPLODE @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V0l ) ) )
% 5.64/5.89 = ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( c_2Elist_2ENIL @ ty_2Estring_2Echar ) ) )
% 5.64/5.89 <=> ( V0l
% 5.64/5.89 = ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( c_2Elist_2ENIL @ ty_2Estring_2Echar ) ) ) )
% 5.64/5.89 & ( ( ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( c_2Elist_2ENIL @ ty_2Estring_2Echar ) )
% 5.64/5.89 = ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ c_2Estring_2EIMPLODE @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V0l ) ) ) )
% 5.64/5.89 <=> ( V0l
% 5.64/5.89 = ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( c_2Elist_2ENIL @ ty_2Estring_2Echar ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Estring_2EEXPLODE__EQ__NIL,axiom,
% 5.64/5.89 ! [V0s: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar] :
% 5.64/5.89 ( ( ( ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ c_2Estring_2EEXPLODE @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V0s ) ) )
% 5.64/5.89 = ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( c_2Elist_2ENIL @ ty_2Estring_2Echar ) ) )
% 5.64/5.89 <=> ( V0s
% 5.64/5.89 = ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( c_2Elist_2ENIL @ ty_2Estring_2Echar ) ) ) )
% 5.64/5.89 & ( ( ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( c_2Elist_2ENIL @ ty_2Estring_2Echar ) )
% 5.64/5.89 = ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ c_2Estring_2EEXPLODE @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V0s ) ) ) )
% 5.64/5.89 <=> ( V0s
% 5.64/5.89 = ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( c_2Elist_2ENIL @ ty_2Estring_2Echar ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Estring_2EEXPLODE__EQ__THM,axiom,
% 5.64/5.89 ! [V0s: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar,V1h: tp__ty_2Estring_2Echar,V2t: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar] :
% 5.64/5.89 ( ( ( ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ty_2Estring_2Echar ) @ ( inj__ty_2Estring_2Echar @ V1h ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V2t ) ) )
% 5.64/5.89 = ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ c_2Estring_2EEXPLODE @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V0s ) ) ) )
% 5.64/5.89 <=> ( V0s
% 5.64/5.89 = ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ty_2Estring_2Echar ) @ ( inj__ty_2Estring_2Echar @ V1h ) ) @ ( ap @ c_2Estring_2EIMPLODE @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V2t ) ) ) ) ) )
% 5.64/5.89 & ( ( ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ c_2Estring_2EEXPLODE @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V0s ) ) )
% 5.64/5.89 = ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ty_2Estring_2Echar ) @ ( inj__ty_2Estring_2Echar @ V1h ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V2t ) ) ) )
% 5.64/5.89 <=> ( V0s
% 5.64/5.89 = ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ty_2Estring_2Echar ) @ ( inj__ty_2Estring_2Echar @ V1h ) ) @ ( ap @ c_2Estring_2EIMPLODE @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V2t ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Estring_2EIMPLODE__EQ__THM,axiom,
% 5.64/5.89 ! [V0c: tp__ty_2Estring_2Echar,V1s: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar,V2l: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar] :
% 5.64/5.89 ( ( ( ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ty_2Estring_2Echar ) @ ( inj__ty_2Estring_2Echar @ V0c ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V1s ) ) )
% 5.64/5.89 = ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ c_2Estring_2EIMPLODE @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V2l ) ) ) )
% 5.64/5.89 <=> ( V2l
% 5.64/5.89 = ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ty_2Estring_2Echar ) @ ( inj__ty_2Estring_2Echar @ V0c ) ) @ ( ap @ c_2Estring_2EEXPLODE @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V1s ) ) ) ) ) )
% 5.64/5.89 & ( ( ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ c_2Estring_2EIMPLODE @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V2l ) ) )
% 5.64/5.89 = ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ty_2Estring_2Echar ) @ ( inj__ty_2Estring_2Echar @ V0c ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V1s ) ) ) )
% 5.64/5.89 <=> ( V2l
% 5.64/5.89 = ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ty_2Estring_2Echar ) @ ( inj__ty_2Estring_2Echar @ V0c ) ) @ ( ap @ c_2Estring_2EEXPLODE @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V1s ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Estring_2EEXPLODE__DEST__STRING,axiom,
% 5.64/5.89 ! [V0s: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar] :
% 5.64/5.89 ( ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ c_2Estring_2EEXPLODE @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V0s ) ) )
% 5.64/5.89 = ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar
% 5.64/5.89 @ ( ap @ ( ap @ ( ap @ ( c_2Eoption_2Eoption__CASE @ ( ty_2Epair_2Eprod @ ty_2Estring_2Echar @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) @ ( ap @ c_2Estring_2EDEST__STRING @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V0s ) ) ) @ ( c_2Elist_2ENIL @ ty_2Estring_2Echar ) )
% 5.64/5.89 @ ( lam @ ( ty_2Epair_2Eprod @ ty_2Estring_2Echar @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) )
% 5.64/5.89 @ ^ [V1v: $i] :
% 5.64/5.89 ( ap @ ( ap @ ( c_2Epair_2Epair__CASE @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ ty_2Estring_2Echar @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) @ V1v )
% 5.64/5.89 @ ( lam @ ty_2Estring_2Echar
% 5.64/5.89 @ ^ [V2c: $i] :
% 5.64/5.89 ( lam @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar )
% 5.64/5.89 @ ^ [V3t: $i] : ( ap @ ( ap @ ( c_2Elist_2ECONS @ ty_2Estring_2Echar ) @ V2c ) @ ( ap @ c_2Estring_2EEXPLODE @ V3t ) ) ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Estring_2EIMPLODE__STRING,axiom,
% 5.64/5.89 ! [V0clist: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar] :
% 5.64/5.89 ( ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ c_2Estring_2EIMPLODE @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V0clist ) ) )
% 5.64/5.89 = ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDR @ ty_2Estring_2Echar @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) @ ( c_2Elist_2ECONS @ ty_2Estring_2Echar ) ) @ ( c_2Elist_2ENIL @ ty_2Estring_2Echar ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V0clist ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Estring_2ESTRLEN__EQ__0,axiom,
% 5.64/5.89 ! [V0l: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar] :
% 5.64/5.89 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ ty_2Estring_2Echar ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V0l ) ) )
% 5.64/5.89 = fo__c_2Enum_2E0 )
% 5.64/5.89 <=> ( V0l
% 5.64/5.89 = ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( c_2Elist_2ENIL @ ty_2Estring_2Echar ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Estring_2ESTRLEN__THM,axiom,
% 5.64/5.89 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ ty_2Estring_2Echar ) @ ( c_2Elist_2ENIL @ ty_2Estring_2Echar ) ) )
% 5.64/5.89 = fo__c_2Enum_2E0 )
% 5.64/5.89 & ! [V0h: tp__ty_2Estring_2Echar,V1t: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar] :
% 5.64/5.89 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ ty_2Estring_2Echar ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ty_2Estring_2Echar ) @ ( inj__ty_2Estring_2Echar @ V0h ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V1t ) ) ) )
% 5.64/5.89 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enum_2ESUC @ ( ap @ ( c_2Elist_2ELENGTH @ ty_2Estring_2Echar ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V1t ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Estring_2ESTRLEN__DEF,axiom,
% 5.64/5.89 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ ty_2Estring_2Echar ) @ ( c_2Elist_2ENIL @ ty_2Estring_2Echar ) ) )
% 5.64/5.89 = fo__c_2Enum_2E0 )
% 5.64/5.89 & ! [V0h: tp__ty_2Estring_2Echar,V1t: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar] :
% 5.64/5.89 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ ty_2Estring_2Echar ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ty_2Estring_2Echar ) @ ( inj__ty_2Estring_2Echar @ V0h ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V1t ) ) ) )
% 5.64/5.89 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enum_2ESUC @ ( ap @ ( c_2Elist_2ELENGTH @ ty_2Estring_2Echar ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V1t ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Estring_2ESTRCAT__def,axiom,
% 5.64/5.89 ( ! [V0l: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar] :
% 5.64/5.89 ( ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ ty_2Estring_2Echar ) @ ( c_2Elist_2ENIL @ ty_2Estring_2Echar ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V0l ) ) )
% 5.64/5.89 = V0l )
% 5.64/5.89 & ! [V1l1: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar,V2l2: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar,V3h: tp__ty_2Estring_2Echar] :
% 5.64/5.89 ( ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ ty_2Estring_2Echar ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ty_2Estring_2Echar ) @ ( inj__ty_2Estring_2Echar @ V3h ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V1l1 ) ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V2l2 ) ) )
% 5.64/5.89 = ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ty_2Estring_2Echar ) @ ( inj__ty_2Estring_2Echar @ V3h ) ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ ty_2Estring_2Echar ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V1l1 ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V2l2 ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Estring_2ESTRCAT,axiom,
% 5.64/5.89 ! [V0s1: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar,V1s2: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar] :
% 5.64/5.89 ( ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ ty_2Estring_2Echar ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V0s1 ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V1s2 ) ) )
% 5.64/5.89 = ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ ty_2Estring_2Echar ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V0s1 ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V1s2 ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Estring_2ESTRCAT__EQNS,axiom,
% 5.64/5.89 ! [V0s: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar,V1c: tp__ty_2Estring_2Echar,V2s1: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar,V3s2: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar] :
% 5.64/5.89 ( ( ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ ty_2Estring_2Echar ) @ ( c_2Elist_2ENIL @ ty_2Estring_2Echar ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V0s ) ) )
% 5.64/5.89 = V0s )
% 5.64/5.89 & ( ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ ty_2Estring_2Echar ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V0s ) ) @ ( c_2Elist_2ENIL @ ty_2Estring_2Echar ) ) )
% 5.64/5.89 = V0s )
% 5.64/5.89 & ( ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ ty_2Estring_2Echar ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ty_2Estring_2Echar ) @ ( inj__ty_2Estring_2Echar @ V1c ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V2s1 ) ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V3s2 ) ) )
% 5.64/5.89 = ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ty_2Estring_2Echar ) @ ( inj__ty_2Estring_2Echar @ V1c ) ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ ty_2Estring_2Echar ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V2s1 ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V3s2 ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Estring_2ESTRCAT__ASSOC,axiom,
% 5.64/5.89 ! [V0l1: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar,V1l2: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar,V2l3: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar] :
% 5.64/5.89 ( ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ ty_2Estring_2Echar ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V0l1 ) ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ ty_2Estring_2Echar ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V1l2 ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V2l3 ) ) ) )
% 5.64/5.89 = ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ ty_2Estring_2Echar ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ ty_2Estring_2Echar ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V0l1 ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V1l2 ) ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V2l3 ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Estring_2ESTRCAT__11,axiom,
% 5.64/5.89 ( ! [V0l1: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar,V1l2: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar,V2l3: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar] :
% 5.64/5.89 ( ( ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ ty_2Estring_2Echar ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V0l1 ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V1l2 ) ) )
% 5.64/5.89 = ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ ty_2Estring_2Echar ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V0l1 ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V2l3 ) ) ) )
% 5.64/5.89 <=> ( V1l2 = V2l3 ) )
% 5.64/5.89 & ! [V3l1: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar,V4l2: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar,V5l3: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar] :
% 5.64/5.89 ( ( ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ ty_2Estring_2Echar ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V4l2 ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V3l1 ) ) )
% 5.64/5.89 = ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ ty_2Estring_2Echar ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V5l3 ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V3l1 ) ) ) )
% 5.64/5.89 <=> ( V4l2 = V5l3 ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Estring_2ESTRCAT__ACYCLIC,axiom,
% 5.64/5.89 ! [V0s: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar,V1s1: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar] :
% 5.64/5.89 ( ( ( V0s
% 5.64/5.89 = ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ ty_2Estring_2Echar ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V0s ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V1s1 ) ) ) )
% 5.64/5.89 <=> ( V1s1
% 5.64/5.89 = ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( c_2Elist_2ENIL @ ty_2Estring_2Echar ) ) ) )
% 5.64/5.89 & ( ( V0s
% 5.64/5.89 = ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ ty_2Estring_2Echar ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V1s1 ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V0s ) ) ) )
% 5.64/5.89 <=> ( V1s1
% 5.64/5.89 = ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( c_2Elist_2ENIL @ ty_2Estring_2Echar ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Estring_2ESTRCAT__EXPLODE,axiom,
% 5.64/5.89 ! [V0s1: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar,V1s2: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar] :
% 5.64/5.89 ( ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ ty_2Estring_2Echar ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V0s1 ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V1s2 ) ) )
% 5.64/5.89 = ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDR @ ty_2Estring_2Echar @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) @ ( c_2Elist_2ECONS @ ty_2Estring_2Echar ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V1s2 ) ) @ ( ap @ c_2Estring_2EEXPLODE @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V0s1 ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Estring_2ESTRCAT__EQ__EMPTY,axiom,
% 5.64/5.89 ! [V0l1: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar,V1l2: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar] :
% 5.64/5.89 ( ( ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ ty_2Estring_2Echar ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V0l1 ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V1l2 ) ) )
% 5.64/5.89 = ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( c_2Elist_2ENIL @ ty_2Estring_2Echar ) ) )
% 5.64/5.89 <=> ( ( V0l1
% 5.64/5.89 = ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( c_2Elist_2ENIL @ ty_2Estring_2Echar ) ) )
% 5.64/5.89 & ( V1l2
% 5.64/5.89 = ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( c_2Elist_2ENIL @ ty_2Estring_2Echar ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Estring_2ESTRLEN__CAT,axiom,
% 5.64/5.89 ! [V0l1: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar,V1l2: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar] :
% 5.64/5.89 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ ty_2Estring_2Echar ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ ty_2Estring_2Echar ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V0l1 ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V1l2 ) ) ) )
% 5.64/5.89 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( c_2Elist_2ELENGTH @ ty_2Estring_2Echar ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V0l1 ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ ty_2Estring_2Echar ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V1l2 ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Estring_2EisPREFIX__DEF,axiom,
% 5.64/5.89 ! [V0s1: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar,V1s2: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar] :
% 5.64/5.89 ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EisPREFIX @ ty_2Estring_2Echar ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V0s1 ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V1s2 ) ) )
% 5.64/5.89 <=> ( p
% 5.64/5.89 @ ( ap @ ( ap @ ( c_2Epair_2Epair__CASE @ bool @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Estring_2Echar @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Estring_2Echar @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Estring_2Echar @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Estring_2Echar @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) ) ) @ ( ap @ c_2Estring_2EDEST__STRING @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V0s1 ) ) ) @ ( ap @ c_2Estring_2EDEST__STRING @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V1s2 ) ) ) )
% 5.64/5.89 @ ( lam @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Estring_2Echar @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) )
% 5.64/5.89 @ ^ [V2v: $i] :
% 5.64/5.89 ( lam @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Estring_2Echar @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) )
% 5.64/5.89 @ ^ [V3v1: $i] :
% 5.64/5.89 ( ap @ ( ap @ ( ap @ ( c_2Eoption_2Eoption__CASE @ ( ty_2Epair_2Eprod @ ty_2Estring_2Echar @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) @ bool ) @ V2v ) @ c_2Ebool_2ET )
% 5.64/5.89 @ ( lam @ ( ty_2Epair_2Eprod @ ty_2Estring_2Echar @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) )
% 5.64/5.89 @ ^ [V4v2: $i] :
% 5.64/5.89 ( ap @ ( ap @ ( ap @ ( c_2Eoption_2Eoption__CASE @ ( ty_2Epair_2Eprod @ ty_2Estring_2Echar @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) @ bool ) @ V3v1 ) @ c_2Ebool_2EF )
% 5.64/5.89 @ ( lam @ ( ty_2Epair_2Eprod @ ty_2Estring_2Echar @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) )
% 5.64/5.89 @ ^ [V5v3: $i] :
% 5.64/5.89 ( ap @ ( ap @ ( c_2Epair_2Epair__CASE @ bool @ ty_2Estring_2Echar @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) @ V5v3 )
% 5.64/5.89 @ ( lam @ ty_2Estring_2Echar
% 5.64/5.89 @ ^ [V6c2: $i] :
% 5.64/5.89 ( lam @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar )
% 5.64/5.89 @ ^ [V7t2: $i] :
% 5.64/5.89 ( ap @ ( ap @ ( c_2Epair_2Epair__CASE @ bool @ ty_2Estring_2Echar @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) @ V4v2 )
% 5.64/5.89 @ ( lam @ ty_2Estring_2Echar
% 5.64/5.89 @ ^ [V8c1: $i] :
% 5.64/5.89 ( lam @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar )
% 5.64/5.89 @ ^ [V9t1: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Estring_2Echar ) @ V8c1 ) @ V6c2 ) ) @ ( ap @ ( ap @ ( c_2Elist_2EisPREFIX @ ty_2Estring_2Echar ) @ V9t1 ) @ V7t2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Estring_2EisPREFIX__IND,axiom,
% 5.64/5.89 ! [V0P: $i] :
% 5.64/5.89 ( ( mem @ V0P @ ( arr @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ ( arr @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ bool ) ) )
% 5.64/5.89 => ( ! [V1s1: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar,V2s2: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar] :
% 5.64/5.89 ( ! [V3c: tp__ty_2Estring_2Echar,V4t1: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar,V5t2: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar] :
% 5.64/5.89 ( ( ( ( surj__c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ c_2Estring_2EDEST__STRING @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V1s1 ) ) )
% 5.64/5.89 = ( surj__c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Epair_2Eprod @ ty_2Estring_2Echar @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Estring_2Echar @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) @ ( inj__ty_2Estring_2Echar @ V3c ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V4t1 ) ) ) ) )
% 5.64/5.89 & ( ( surj__c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ c_2Estring_2EDEST__STRING @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V2s2 ) ) )
% 5.64/5.89 = ( surj__c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Epair_2Eprod @ ty_2Estring_2Echar @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Estring_2Echar @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) @ ( inj__ty_2Estring_2Echar @ V3c ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V5t2 ) ) ) ) ) )
% 5.64/5.89 => ( p @ ( ap @ ( ap @ V0P @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V4t1 ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V5t2 ) ) ) )
% 5.64/5.89 => ( p @ ( ap @ ( ap @ V0P @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V1s1 ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V2s2 ) ) ) )
% 5.64/5.89 => ! [V6v: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar,V7v1: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar] : ( p @ ( ap @ ( ap @ V0P @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V6v ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V7v1 ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Estring_2EisPREFIX__STRCAT,axiom,
% 5.64/5.89 ! [V0s1: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar,V1s2: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar] :
% 5.64/5.89 ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EisPREFIX @ ty_2Estring_2Echar ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V0s1 ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V1s2 ) ) )
% 5.64/5.89 <=> ? [V2s3: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar] :
% 5.64/5.89 ( V1s2
% 5.64/5.89 = ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ ty_2Estring_2Echar ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V0s1 ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V2s3 ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Estring_2Estring__lt__ind,axiom,
% 5.64/5.89 ! [V0P: $i] :
% 5.64/5.89 ( ( mem @ V0P @ ( arr @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ ( arr @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ bool ) ) )
% 5.64/5.89 => ( ( ! [V1s: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar] : ( p @ ( ap @ ( ap @ V0P @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V1s ) ) @ ( c_2Elist_2ENIL @ ty_2Estring_2Echar ) ) )
% 5.64/5.89 & ! [V2c: tp__ty_2Estring_2Echar,V3s: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar] : ( p @ ( ap @ ( ap @ V0P @ ( c_2Elist_2ENIL @ ty_2Estring_2Echar ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ty_2Estring_2Echar ) @ ( inj__ty_2Estring_2Echar @ V2c ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V3s ) ) ) )
% 5.64/5.89 & ! [V4c1: tp__ty_2Estring_2Echar,V5s1: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar,V6c2: tp__ty_2Estring_2Echar,V7s2: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar] :
% 5.64/5.89 ( ( p @ ( ap @ ( ap @ V0P @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V5s1 ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V7s2 ) ) )
% 5.64/5.89 => ( p @ ( ap @ ( ap @ V0P @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ty_2Estring_2Echar ) @ ( inj__ty_2Estring_2Echar @ V4c1 ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V5s1 ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ty_2Estring_2Echar ) @ ( inj__ty_2Estring_2Echar @ V6c2 ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V7s2 ) ) ) ) ) )
% 5.64/5.89 => ! [V8v: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar,V9v1: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar] : ( p @ ( ap @ ( ap @ V0P @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V8v ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V9v1 ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Estring_2Estring__lt__def,axiom,
% 5.64/5.89 ( ! [V0s: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar] :
% 5.64/5.89 ( ( p @ ( ap @ ( ap @ c_2Estring_2Estring__lt @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V0s ) ) @ ( c_2Elist_2ENIL @ ty_2Estring_2Echar ) ) )
% 5.64/5.89 <=> $false )
% 5.64/5.89 & ! [V1s: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar,V2c: tp__ty_2Estring_2Echar] :
% 5.64/5.89 ( ( p @ ( ap @ ( ap @ c_2Estring_2Estring__lt @ ( c_2Elist_2ENIL @ ty_2Estring_2Echar ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ty_2Estring_2Echar ) @ ( inj__ty_2Estring_2Echar @ V2c ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V1s ) ) ) )
% 5.64/5.89 <=> $true )
% 5.64/5.89 & ! [V3s2: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar,V4s1: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar,V5c2: tp__ty_2Estring_2Echar,V6c1: tp__ty_2Estring_2Echar] :
% 5.64/5.89 ( ( p @ ( ap @ ( ap @ c_2Estring_2Estring__lt @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ty_2Estring_2Echar ) @ ( inj__ty_2Estring_2Echar @ V6c1 ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V4s1 ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ty_2Estring_2Echar ) @ ( inj__ty_2Estring_2Echar @ V5c2 ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V3s2 ) ) ) )
% 5.64/5.89 <=> ( ( p @ ( ap @ ( ap @ c_2Estring_2Echar__lt @ ( inj__ty_2Estring_2Echar @ V6c1 ) ) @ ( inj__ty_2Estring_2Echar @ V5c2 ) ) )
% 5.64/5.89 | ( ( V6c1 = V5c2 )
% 5.64/5.89 & ( p @ ( ap @ ( ap @ c_2Estring_2Estring__lt @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V4s1 ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V3s2 ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(ax_thm_2Estring_2Estring__le__def,axiom,
% 5.64/5.89 ! [V0s1: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar,V1s2: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar] :
% 5.64/5.89 ( ( p @ ( ap @ ( ap @ c_2Estring_2Estring__le @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V0s1 ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V1s2 ) ) )
% 5.64/5.89 <=> ( ( V0s1 = V1s2 )
% 5.64/5.89 | ( p @ ( ap @ ( ap @ c_2Estring_2Estring__lt @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V0s1 ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V1s2 ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(ax_thm_2Estring_2Estring__gt__def,axiom,
% 5.64/5.89 ! [V0s1: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar,V1s2: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar] :
% 5.64/5.89 ( ( p @ ( ap @ ( ap @ c_2Estring_2Estring__gt @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V0s1 ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V1s2 ) ) )
% 5.64/5.89 <=> ( p @ ( ap @ ( ap @ c_2Estring_2Estring__lt @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V1s2 ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V0s1 ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(ax_thm_2Estring_2Estring__ge__def,axiom,
% 5.64/5.89 ! [V0s1: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar,V1s2: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar] :
% 5.64/5.89 ( ( p @ ( ap @ ( ap @ c_2Estring_2Estring__ge @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V0s1 ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V1s2 ) ) )
% 5.64/5.89 <=> ( p @ ( ap @ ( ap @ c_2Estring_2Estring__le @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V1s2 ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V0s1 ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Estring_2Estring__lt__nonrefl,axiom,
% 5.64/5.89 ! [V0s: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar] :
% 5.64/5.89 ~ ( p @ ( ap @ ( ap @ c_2Estring_2Estring__lt @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V0s ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V0s ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Estring_2Estring__lt__antisym,axiom,
% 5.64/5.89 ! [V0s: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar,V1t: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar] :
% 5.64/5.89 ~ ( ( p @ ( ap @ ( ap @ c_2Estring_2Estring__lt @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V0s ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V1t ) ) )
% 5.64/5.89 & ( p @ ( ap @ ( ap @ c_2Estring_2Estring__lt @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V1t ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V0s ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Estring_2Estring__lt__cases,axiom,
% 5.64/5.89 ! [V0s: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar,V1t: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar] :
% 5.64/5.89 ( ( V0s = V1t )
% 5.64/5.89 | ( p @ ( ap @ ( ap @ c_2Estring_2Estring__lt @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V0s ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V1t ) ) )
% 5.64/5.89 | ( p @ ( ap @ ( ap @ c_2Estring_2Estring__lt @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V1t ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V0s ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Estring_2Estring__lt__trans,axiom,
% 5.64/5.89 ! [V0s1: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar,V1s2: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar,V2s3: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar] :
% 5.64/5.89 ( ( ( p @ ( ap @ ( ap @ c_2Estring_2Estring__lt @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V0s1 ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V1s2 ) ) )
% 5.64/5.89 & ( p @ ( ap @ ( ap @ c_2Estring_2Estring__lt @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V1s2 ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V2s3 ) ) ) )
% 5.64/5.89 => ( p @ ( ap @ ( ap @ c_2Estring_2Estring__lt @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V0s1 ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V2s3 ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 %------------------------------------------------------------------------------
% 5.64/5.89 %------------------------------------------------------------------------------
% 5.64/5.89 thf(tp_c_2Ewot_2EStrongWellOrder,type,
% 5.64/5.89 c_2Ewot_2EStrongWellOrder: del > $i ).
% 5.64/5.89
% 5.64/5.89 thf(mem_c_2Ewot_2EStrongWellOrder,axiom,
% 5.64/5.89 ! [A_27a: del] : ( mem @ ( c_2Ewot_2EStrongWellOrder @ A_27a ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) @ bool ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(tp_c_2Ewot_2EU,type,
% 5.64/5.89 c_2Ewot_2EU: del > $i ).
% 5.64/5.89
% 5.64/5.89 thf(mem_c_2Ewot_2EU,axiom,
% 5.64/5.89 ! [A_27x: del] : ( mem @ ( c_2Ewot_2EU @ A_27x ) @ ( arr @ ( arr @ A_27x @ bool ) @ ( arr @ ( arr @ A_27x @ bool ) @ bool ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(tp_c_2Ewot_2EWeakWellOrder,type,
% 5.64/5.89 c_2Ewot_2EWeakWellOrder: del > $i ).
% 5.64/5.89
% 5.64/5.89 thf(mem_c_2Ewot_2EWeakWellOrder,axiom,
% 5.64/5.89 ! [A_27a: del] : ( mem @ ( c_2Ewot_2EWeakWellOrder @ A_27a ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) @ bool ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(tp_c_2Ewot_2Echain,type,
% 5.64/5.89 c_2Ewot_2Echain: del > $i ).
% 5.64/5.89
% 5.64/5.89 thf(mem_c_2Ewot_2Echain,axiom,
% 5.64/5.89 ! [A_27x: del] : ( mem @ ( c_2Ewot_2Echain @ A_27x ) @ ( arr @ ( arr @ ( arr @ A_27x @ bool ) @ bool ) @ bool ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(tp_c_2Ewot_2Ecomparable,type,
% 5.64/5.89 c_2Ewot_2Ecomparable: del > $i ).
% 5.64/5.89
% 5.64/5.89 thf(mem_c_2Ewot_2Ecomparable,axiom,
% 5.64/5.89 ! [A_27x: del] : ( mem @ ( c_2Ewot_2Ecomparable @ A_27x ) @ ( arr @ ( arr @ A_27x @ bool ) @ bool ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(tp_c_2Ewot_2Ecpl,type,
% 5.64/5.89 c_2Ewot_2Ecpl: del > $i ).
% 5.64/5.89
% 5.64/5.89 thf(mem_c_2Ewot_2Ecpl,axiom,
% 5.64/5.89 ! [A_27x: del] : ( mem @ ( c_2Ewot_2Ecpl @ A_27x ) @ ( arr @ ( arr @ A_27x @ bool ) @ ( arr @ ( arr @ A_27x @ bool ) @ bool ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(tp_c_2Ewot_2Elub__sub,type,
% 5.64/5.89 c_2Ewot_2Elub__sub: del > $i ).
% 5.64/5.89
% 5.64/5.89 thf(mem_c_2Ewot_2Elub__sub,axiom,
% 5.64/5.89 ! [A_27x: del] : ( mem @ ( c_2Ewot_2Elub__sub @ A_27x ) @ ( arr @ ( arr @ ( arr @ A_27x @ bool ) @ bool ) @ ( arr @ A_27x @ bool ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(tp_c_2Ewot_2Emex,type,
% 5.64/5.89 c_2Ewot_2Emex: del > $i ).
% 5.64/5.89
% 5.64/5.89 thf(mem_c_2Ewot_2Emex,axiom,
% 5.64/5.89 ! [A_27x: del] : ( mem @ ( c_2Ewot_2Emex @ A_27x ) @ ( arr @ ( arr @ A_27x @ bool ) @ A_27x ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(tp_c_2Ewot_2Emex__less,type,
% 5.64/5.89 c_2Ewot_2Emex__less: del > $i ).
% 5.64/5.89
% 5.64/5.89 thf(mem_c_2Ewot_2Emex__less,axiom,
% 5.64/5.89 ! [A_27x: del] : ( mem @ ( c_2Ewot_2Emex__less @ A_27x ) @ ( arr @ A_27x @ ( arr @ A_27x @ bool ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(tp_c_2Ewot_2Emex__less__eq,type,
% 5.64/5.89 c_2Ewot_2Emex__less__eq: del > $i ).
% 5.64/5.89
% 5.64/5.89 thf(mem_c_2Ewot_2Emex__less__eq,axiom,
% 5.64/5.89 ! [A_27x: del] : ( mem @ ( c_2Ewot_2Emex__less__eq @ A_27x ) @ ( arr @ A_27x @ ( arr @ A_27x @ bool ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(tp_c_2Ewot_2Epreds,type,
% 5.64/5.89 c_2Ewot_2Epreds: del > $i ).
% 5.64/5.89
% 5.64/5.89 thf(mem_c_2Ewot_2Epreds,axiom,
% 5.64/5.89 ! [A_27x: del] : ( mem @ ( c_2Ewot_2Epreds @ A_27x ) @ ( arr @ A_27x @ ( arr @ A_27x @ bool ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(tp_c_2Ewot_2Epreds__image,type,
% 5.64/5.89 c_2Ewot_2Epreds__image: del > $i ).
% 5.64/5.89
% 5.64/5.89 thf(mem_c_2Ewot_2Epreds__image,axiom,
% 5.64/5.89 ! [A_27x: del] : ( mem @ ( c_2Ewot_2Epreds__image @ A_27x ) @ ( arr @ ( arr @ A_27x @ bool ) @ ( arr @ ( arr @ A_27x @ bool ) @ bool ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(tp_c_2Ewot_2Esetsuc,type,
% 5.64/5.89 c_2Ewot_2Esetsuc: del > $i ).
% 5.64/5.89
% 5.64/5.89 thf(mem_c_2Ewot_2Esetsuc,axiom,
% 5.64/5.89 ! [A_27x: del] : ( mem @ ( c_2Ewot_2Esetsuc @ A_27x ) @ ( arr @ ( arr @ A_27x @ bool ) @ ( arr @ A_27x @ bool ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(tp_c_2Ewot_2Esuccl,type,
% 5.64/5.89 c_2Ewot_2Esuccl: del > $i ).
% 5.64/5.89
% 5.64/5.89 thf(mem_c_2Ewot_2Esuccl,axiom,
% 5.64/5.89 ! [A_27x: del] : ( mem @ ( c_2Ewot_2Esuccl @ A_27x ) @ ( arr @ ( arr @ ( arr @ A_27x @ bool ) @ bool ) @ bool ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(tp_c_2Ewot_2Etower,type,
% 5.64/5.89 c_2Ewot_2Etower: del > $i ).
% 5.64/5.89
% 5.64/5.89 thf(mem_c_2Ewot_2Etower,axiom,
% 5.64/5.89 ! [A_27x: del] : ( mem @ ( c_2Ewot_2Etower @ A_27x ) @ ( arr @ ( arr @ ( arr @ A_27x @ bool ) @ bool ) @ bool ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(tp_c_2Ewot_2Euncl,type,
% 5.64/5.89 c_2Ewot_2Euncl: del > $i ).
% 5.64/5.89
% 5.64/5.89 thf(mem_c_2Ewot_2Euncl,axiom,
% 5.64/5.89 ! [A_27x: del] : ( mem @ ( c_2Ewot_2Euncl @ A_27x ) @ ( arr @ ( arr @ ( arr @ A_27x @ bool ) @ bool ) @ bool ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(ax_thm_2Ewot_2Ecpl__def,axiom,
% 5.64/5.89 ! [A_27x: del,V0A: $i] :
% 5.64/5.89 ( ( mem @ V0A @ ( arr @ A_27x @ bool ) )
% 5.64/5.89 => ! [V1B: $i] :
% 5.64/5.89 ( ( mem @ V1B @ ( arr @ A_27x @ bool ) )
% 5.64/5.89 => ( ( p @ ( ap @ ( ap @ ( c_2Ewot_2Ecpl @ A_27x ) @ V0A ) @ V1B ) )
% 5.64/5.89 <=> ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27x ) @ V0A ) @ V1B ) )
% 5.64/5.89 | ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27x ) @ V1B ) @ V0A ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(ax_thm_2Ewot_2Echain__def,axiom,
% 5.64/5.89 ! [A_27x: del,V0C: $i] :
% 5.64/5.89 ( ( mem @ V0C @ ( arr @ ( arr @ A_27x @ bool ) @ bool ) )
% 5.64/5.89 => ( ( p @ ( ap @ ( c_2Ewot_2Echain @ A_27x ) @ V0C ) )
% 5.64/5.89 <=> ! [V1a: $i] :
% 5.64/5.89 ( ( mem @ V1a @ ( arr @ A_27x @ bool ) )
% 5.64/5.89 => ! [V2b: $i] :
% 5.64/5.89 ( ( mem @ V2b @ ( arr @ A_27x @ bool ) )
% 5.64/5.89 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( arr @ A_27x @ bool ) ) @ V1a ) @ V0C ) )
% 5.64/5.89 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( arr @ A_27x @ bool ) ) @ V2b ) @ V0C ) ) )
% 5.64/5.89 => ( p @ ( ap @ ( ap @ ( c_2Ewot_2Ecpl @ A_27x ) @ V1a ) @ V2b ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(ax_thm_2Ewot_2Emex__def,axiom,
% 5.64/5.89 ! [A_27x: del,V0s: $i] :
% 5.64/5.89 ( ( mem @ V0s @ ( arr @ A_27x @ bool ) )
% 5.64/5.89 => ( ( ap @ ( c_2Ewot_2Emex @ A_27x ) @ V0s )
% 5.64/5.89 = ( ap @ ( c_2Epred__set_2ECHOICE @ A_27x ) @ ( ap @ ( c_2Epred__set_2ECOMPL @ A_27x ) @ V0s ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(ax_thm_2Ewot_2Esetsuc__def,axiom,
% 5.64/5.89 ! [A_27x: del,V0s: $i] :
% 5.64/5.89 ( ( mem @ V0s @ ( arr @ A_27x @ bool ) )
% 5.64/5.89 => ( ( ap @ ( c_2Ewot_2Esetsuc @ A_27x ) @ V0s )
% 5.64/5.89 = ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27x ) @ ( ap @ ( c_2Ewot_2Emex @ A_27x ) @ V0s ) ) @ V0s ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(ax_thm_2Ewot_2Esuccl__def,axiom,
% 5.64/5.89 ! [A_27x: del,V0c: $i] :
% 5.64/5.89 ( ( mem @ V0c @ ( arr @ ( arr @ A_27x @ bool ) @ bool ) )
% 5.64/5.89 => ( ( p @ ( ap @ ( c_2Ewot_2Esuccl @ A_27x ) @ V0c ) )
% 5.64/5.89 <=> ! [V1s: $i] :
% 5.64/5.89 ( ( mem @ V1s @ ( arr @ A_27x @ bool ) )
% 5.64/5.89 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( arr @ A_27x @ bool ) ) @ V1s ) @ V0c ) )
% 5.64/5.89 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( arr @ A_27x @ bool ) ) @ ( ap @ ( c_2Ewot_2Esetsuc @ A_27x ) @ V1s ) ) @ V0c ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(ax_thm_2Ewot_2Euncl__def,axiom,
% 5.64/5.89 ! [A_27x: del,V0c: $i] :
% 5.64/5.89 ( ( mem @ V0c @ ( arr @ ( arr @ A_27x @ bool ) @ bool ) )
% 5.64/5.89 => ( ( p @ ( ap @ ( c_2Ewot_2Euncl @ A_27x ) @ V0c ) )
% 5.64/5.89 <=> ! [V1w: $i] :
% 5.64/5.89 ( ( mem @ V1w @ ( arr @ ( arr @ A_27x @ bool ) @ bool ) )
% 5.64/5.89 => ( ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ ( arr @ A_27x @ bool ) ) @ V1w ) @ V0c ) )
% 5.64/5.89 & ( p @ ( ap @ ( c_2Ewot_2Echain @ A_27x ) @ V1w ) ) )
% 5.64/5.89 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( arr @ A_27x @ bool ) ) @ ( ap @ ( c_2Epred__set_2EBIGUNION @ A_27x ) @ V1w ) ) @ V0c ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(ax_thm_2Ewot_2Etower__def,axiom,
% 5.64/5.89 ! [A_27x: del,V0A: $i] :
% 5.64/5.89 ( ( mem @ V0A @ ( arr @ ( arr @ A_27x @ bool ) @ bool ) )
% 5.64/5.89 => ( ( p @ ( ap @ ( c_2Ewot_2Etower @ A_27x ) @ V0A ) )
% 5.64/5.89 <=> ( ( p @ ( ap @ ( c_2Ewot_2Esuccl @ A_27x ) @ V0A ) )
% 5.64/5.89 & ( p @ ( ap @ ( c_2Ewot_2Euncl @ A_27x ) @ V0A ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(ax_thm_2Ewot_2Emex__less__eq__def,axiom,
% 5.64/5.89 ! [A_27x: del,V0a: $i] :
% 5.64/5.89 ( ( mem @ V0a @ A_27x )
% 5.64/5.89 => ! [V1b: $i] :
% 5.64/5.89 ( ( mem @ V1b @ A_27x )
% 5.64/5.89 => ( ( p @ ( ap @ ( ap @ ( c_2Ewot_2Emex__less__eq @ A_27x ) @ V0a ) @ V1b ) )
% 5.64/5.89 <=> ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27x ) @ ( ap @ ( c_2Ewot_2Epreds @ A_27x ) @ V0a ) ) @ ( ap @ ( c_2Ewot_2Epreds @ A_27x ) @ V1b ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(ax_thm_2Ewot_2Emex__less__def,axiom,
% 5.64/5.89 ! [A_27x: del] :
% 5.64/5.89 ( ( c_2Ewot_2Emex__less @ A_27x )
% 5.64/5.89 = ( ap @ ( c_2Erelation_2ESTRORD @ A_27x ) @ ( c_2Ewot_2Emex__less__eq @ A_27x ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(ax_thm_2Ewot_2EWeakWellOrder__def,axiom,
% 5.64/5.89 ! [A_27a: del,V0R: $i] :
% 5.64/5.89 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.64/5.89 => ( ( p @ ( ap @ ( c_2Ewot_2EWeakWellOrder @ A_27a ) @ V0R ) )
% 5.64/5.89 <=> ( ( p @ ( ap @ ( c_2Erelation_2EWeakOrder @ A_27a ) @ V0R ) )
% 5.64/5.89 & ! [V1B: $i] :
% 5.64/5.89 ( ( mem @ V1B @ ( arr @ A_27a @ bool ) )
% 5.64/5.89 => ( ( V1B
% 5.64/5.89 != ( c_2Epred__set_2EEMPTY @ A_27a ) )
% 5.64/5.89 => ? [V2m: $i] :
% 5.64/5.89 ( ( mem @ V2m @ A_27a )
% 5.64/5.89 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2m ) @ V1B ) )
% 5.64/5.89 & ! [V3b: $i] :
% 5.64/5.89 ( ( mem @ V3b @ A_27a )
% 5.64/5.89 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3b ) @ V1B ) )
% 5.64/5.89 => ( p @ ( ap @ ( ap @ V0R @ V2m ) @ V3b ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(ax_thm_2Ewot_2Epreds__image__def,axiom,
% 5.64/5.89 ! [A_27x: del,V0X: $i] :
% 5.64/5.89 ( ( mem @ V0X @ ( arr @ A_27x @ bool ) )
% 5.64/5.89 => ( ( ap @ ( c_2Ewot_2Epreds__image @ A_27x ) @ V0X )
% 5.64/5.89 = ( ap @ ( c_2Epred__set_2EGSPEC @ ( arr @ A_27x @ bool ) @ A_27x )
% 5.64/5.89 @ ( lam @ A_27x
% 5.64/5.89 @ ^ [V1x: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( arr @ A_27x @ bool ) @ bool ) @ ( ap @ ( c_2Ewot_2Epreds @ A_27x ) @ V1x ) ) @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27x ) @ V1x ) @ V0X ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(ax_thm_2Ewot_2EStrongWellOrder__def,axiom,
% 5.64/5.89 ! [A_27a: del,V0R: $i] :
% 5.64/5.89 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.64/5.89 => ( ( p @ ( ap @ ( c_2Ewot_2EStrongWellOrder @ A_27a ) @ V0R ) )
% 5.64/5.89 <=> ( ( p @ ( ap @ ( c_2Erelation_2EStrongLinearOrder @ A_27a ) @ V0R ) )
% 5.64/5.89 & ( p @ ( ap @ ( c_2Erelation_2EWF @ A_27a ) @ V0R ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Ewot_2EStrongWellOrderExists,axiom,
% 5.64/5.89 ! [A_27a: del] :
% 5.64/5.89 ? [V0R: $i] :
% 5.64/5.89 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.64/5.89 & ( p @ ( ap @ ( c_2Erelation_2EStrongLinearOrder @ A_27a ) @ V0R ) )
% 5.64/5.89 & ( p @ ( ap @ ( c_2Erelation_2EWF @ A_27a ) @ V0R ) ) ) ).
% 5.64/5.89
% 5.64/5.89 %------------------------------------------------------------------------------
% 5.64/5.89 %------------------------------------------------------------------------------
% 5.64/5.89 thf(tp_ty_2Ellist_2Ellist,type,
% 5.64/5.89 ty_2Ellist_2Ellist: del > del ).
% 5.64/5.89
% 5.64/5.89 thf(tp_c_2Ellist_2ELAPPEND,type,
% 5.64/5.89 c_2Ellist_2ELAPPEND: del > $i ).
% 5.64/5.89
% 5.64/5.89 thf(mem_c_2Ellist_2ELAPPEND,axiom,
% 5.64/5.89 ! [A_27a: del] : ( mem @ ( c_2Ellist_2ELAPPEND @ A_27a ) @ ( arr @ ( ty_2Ellist_2Ellist @ A_27a ) @ ( arr @ ( ty_2Ellist_2Ellist @ A_27a ) @ ( ty_2Ellist_2Ellist @ A_27a ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(tp_c_2Ellist_2ELCONS,type,
% 5.64/5.89 c_2Ellist_2ELCONS: del > $i ).
% 5.64/5.89
% 5.64/5.89 thf(mem_c_2Ellist_2ELCONS,axiom,
% 5.64/5.89 ! [A_27a: del] : ( mem @ ( c_2Ellist_2ELCONS @ A_27a ) @ ( arr @ A_27a @ ( arr @ ( ty_2Ellist_2Ellist @ A_27a ) @ ( ty_2Ellist_2Ellist @ A_27a ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(tp_c_2Ellist_2ELDROP,type,
% 5.64/5.89 c_2Ellist_2ELDROP: del > $i ).
% 5.64/5.89
% 5.64/5.89 thf(mem_c_2Ellist_2ELDROP,axiom,
% 5.64/5.89 ! [A_27a: del] : ( mem @ ( c_2Ellist_2ELDROP @ A_27a ) @ ( arr @ ty_2Enum_2Enum @ ( arr @ ( ty_2Ellist_2Ellist @ A_27a ) @ ( ty_2Eoption_2Eoption @ ( ty_2Ellist_2Ellist @ A_27a ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(tp_c_2Ellist_2ELFILTER,type,
% 5.64/5.89 c_2Ellist_2ELFILTER: del > $i ).
% 5.64/5.89
% 5.64/5.89 thf(mem_c_2Ellist_2ELFILTER,axiom,
% 5.64/5.89 ! [A_27a: del] : ( mem @ ( c_2Ellist_2ELFILTER @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( ty_2Ellist_2Ellist @ A_27a ) @ ( ty_2Ellist_2Ellist @ A_27a ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(tp_c_2Ellist_2ELFINITE,type,
% 5.64/5.89 c_2Ellist_2ELFINITE: del > $i ).
% 5.64/5.89
% 5.64/5.89 thf(mem_c_2Ellist_2ELFINITE,axiom,
% 5.64/5.89 ! [A_27a: del] : ( mem @ ( c_2Ellist_2ELFINITE @ A_27a ) @ ( arr @ ( ty_2Ellist_2Ellist @ A_27a ) @ bool ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(tp_c_2Ellist_2ELFLATTEN,type,
% 5.64/5.89 c_2Ellist_2ELFLATTEN: del > $i ).
% 5.64/5.89
% 5.64/5.89 thf(mem_c_2Ellist_2ELFLATTEN,axiom,
% 5.64/5.89 ! [A_27a: del] : ( mem @ ( c_2Ellist_2ELFLATTEN @ A_27a ) @ ( arr @ ( ty_2Ellist_2Ellist @ ( ty_2Ellist_2Ellist @ A_27a ) ) @ ( ty_2Ellist_2Ellist @ A_27a ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(tp_c_2Ellist_2ELGENLIST,type,
% 5.64/5.89 c_2Ellist_2ELGENLIST: del > $i ).
% 5.64/5.89
% 5.64/5.89 thf(mem_c_2Ellist_2ELGENLIST,axiom,
% 5.64/5.89 ! [A_27a: del] : ( mem @ ( c_2Ellist_2ELGENLIST @ A_27a ) @ ( arr @ ( arr @ ty_2Enum_2Enum @ A_27a ) @ ( arr @ ( ty_2Eoption_2Eoption @ ty_2Enum_2Enum ) @ ( ty_2Ellist_2Ellist @ A_27a ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(tp_c_2Ellist_2ELHD,type,
% 5.64/5.89 c_2Ellist_2ELHD: del > $i ).
% 5.64/5.89
% 5.64/5.89 thf(mem_c_2Ellist_2ELHD,axiom,
% 5.64/5.89 ! [A_27a: del] : ( mem @ ( c_2Ellist_2ELHD @ A_27a ) @ ( arr @ ( ty_2Ellist_2Ellist @ A_27a ) @ ( ty_2Eoption_2Eoption @ A_27a ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(tp_c_2Ellist_2ELLENGTH,type,
% 5.64/5.89 c_2Ellist_2ELLENGTH: del > $i ).
% 5.64/5.89
% 5.64/5.89 thf(mem_c_2Ellist_2ELLENGTH,axiom,
% 5.64/5.89 ! [A_27a: del] : ( mem @ ( c_2Ellist_2ELLENGTH @ A_27a ) @ ( arr @ ( ty_2Ellist_2Ellist @ A_27a ) @ ( ty_2Eoption_2Eoption @ ty_2Enum_2Enum ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(tp_c_2Ellist_2ELMAP,type,
% 5.64/5.89 c_2Ellist_2ELMAP: del > del > $i ).
% 5.64/5.89
% 5.64/5.89 thf(mem_c_2Ellist_2ELMAP,axiom,
% 5.64/5.89 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Ellist_2ELMAP @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ A_27b ) @ ( arr @ ( ty_2Ellist_2Ellist @ A_27a ) @ ( ty_2Ellist_2Ellist @ A_27b ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(tp_c_2Ellist_2ELNIL,type,
% 5.64/5.89 c_2Ellist_2ELNIL: del > $i ).
% 5.64/5.89
% 5.64/5.89 thf(mem_c_2Ellist_2ELNIL,axiom,
% 5.64/5.89 ! [A_27a: del] : ( mem @ ( c_2Ellist_2ELNIL @ A_27a ) @ ( ty_2Ellist_2Ellist @ A_27a ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(tp_c_2Ellist_2ELNTH,type,
% 5.64/5.89 c_2Ellist_2ELNTH: del > $i ).
% 5.64/5.89
% 5.64/5.89 thf(mem_c_2Ellist_2ELNTH,axiom,
% 5.64/5.89 ! [A_27a: del] : ( mem @ ( c_2Ellist_2ELNTH @ A_27a ) @ ( arr @ ty_2Enum_2Enum @ ( arr @ ( ty_2Ellist_2Ellist @ A_27a ) @ ( ty_2Eoption_2Eoption @ A_27a ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(tp_c_2Ellist_2ELPREFIX,type,
% 5.64/5.89 c_2Ellist_2ELPREFIX: del > $i ).
% 5.64/5.89
% 5.64/5.89 thf(mem_c_2Ellist_2ELPREFIX,axiom,
% 5.64/5.89 ! [A_27a: del] : ( mem @ ( c_2Ellist_2ELPREFIX @ A_27a ) @ ( arr @ ( ty_2Ellist_2Ellist @ A_27a ) @ ( arr @ ( ty_2Ellist_2Ellist @ A_27a ) @ bool ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(tp_c_2Ellist_2ELREPEAT,type,
% 5.64/5.89 c_2Ellist_2ELREPEAT: del > $i ).
% 5.64/5.89
% 5.64/5.89 thf(mem_c_2Ellist_2ELREPEAT,axiom,
% 5.64/5.89 ! [A_27a: del] : ( mem @ ( c_2Ellist_2ELREPEAT @ A_27a ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Ellist_2Ellist @ A_27a ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(tp_c_2Ellist_2ELTAKE,type,
% 5.64/5.89 c_2Ellist_2ELTAKE: del > $i ).
% 5.64/5.89
% 5.64/5.89 thf(mem_c_2Ellist_2ELTAKE,axiom,
% 5.64/5.89 ! [A_27a: del] : ( mem @ ( c_2Ellist_2ELTAKE @ A_27a ) @ ( arr @ ty_2Enum_2Enum @ ( arr @ ( ty_2Ellist_2Ellist @ A_27a ) @ ( ty_2Eoption_2Eoption @ ( ty_2Elist_2Elist @ A_27a ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(tp_c_2Ellist_2ELTL,type,
% 5.64/5.89 c_2Ellist_2ELTL: del > $i ).
% 5.64/5.89
% 5.64/5.89 thf(mem_c_2Ellist_2ELTL,axiom,
% 5.64/5.89 ! [A_27a: del] : ( mem @ ( c_2Ellist_2ELTL @ A_27a ) @ ( arr @ ( ty_2Ellist_2Ellist @ A_27a ) @ ( ty_2Eoption_2Eoption @ ( ty_2Ellist_2Ellist @ A_27a ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(tp_c_2Ellist_2ELTL__HD,type,
% 5.64/5.89 c_2Ellist_2ELTL__HD: del > $i ).
% 5.64/5.89
% 5.64/5.89 thf(mem_c_2Ellist_2ELTL__HD,axiom,
% 5.64/5.89 ! [A_27a: del] : ( mem @ ( c_2Ellist_2ELTL__HD @ A_27a ) @ ( arr @ ( ty_2Ellist_2Ellist @ A_27a ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ( ty_2Ellist_2Ellist @ A_27a ) @ A_27a ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(tp_c_2Ellist_2ELUNFOLD,type,
% 5.64/5.89 c_2Ellist_2ELUNFOLD: del > del > $i ).
% 5.64/5.89
% 5.64/5.89 thf(mem_c_2Ellist_2ELUNFOLD,axiom,
% 5.64/5.89 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Ellist_2ELUNFOLD @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) @ ( arr @ A_27b @ ( ty_2Ellist_2Ellist @ A_27a ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(tp_c_2Ellist_2ELUNZIP,type,
% 5.64/5.89 c_2Ellist_2ELUNZIP: del > del > $i ).
% 5.64/5.89
% 5.64/5.89 thf(mem_c_2Ellist_2ELUNZIP,axiom,
% 5.64/5.89 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Ellist_2ELUNZIP @ A_27a @ A_27b ) @ ( arr @ ( ty_2Ellist_2Ellist @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( ty_2Epair_2Eprod @ ( ty_2Ellist_2Ellist @ A_27a ) @ ( ty_2Ellist_2Ellist @ A_27b ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(tp_c_2Ellist_2ELZIP,type,
% 5.64/5.89 c_2Ellist_2ELZIP: del > del > $i ).
% 5.64/5.89
% 5.64/5.89 thf(mem_c_2Ellist_2ELZIP,axiom,
% 5.64/5.89 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Ellist_2ELZIP @ A_27a @ A_27b ) @ ( arr @ ( ty_2Epair_2Eprod @ ( ty_2Ellist_2Ellist @ A_27a ) @ ( ty_2Ellist_2Ellist @ A_27b ) ) @ ( ty_2Ellist_2Ellist @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(tp_c_2Ellist_2Eevery,type,
% 5.64/5.89 c_2Ellist_2Eevery: del > $i ).
% 5.64/5.89
% 5.64/5.89 thf(mem_c_2Ellist_2Eevery,axiom,
% 5.64/5.89 ! [A_27a: del] : ( mem @ ( c_2Ellist_2Eevery @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( ty_2Ellist_2Ellist @ A_27a ) @ bool ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(tp_c_2Ellist_2Eexists,type,
% 5.64/5.89 c_2Ellist_2Eexists: del > $i ).
% 5.64/5.89
% 5.64/5.89 thf(mem_c_2Ellist_2Eexists,axiom,
% 5.64/5.89 ! [A_27a: del] : ( mem @ ( c_2Ellist_2Eexists @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( ty_2Ellist_2Ellist @ A_27a ) @ bool ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(tp_c_2Ellist_2EfromList,type,
% 5.64/5.89 c_2Ellist_2EfromList: del > $i ).
% 5.64/5.89
% 5.64/5.89 thf(mem_c_2Ellist_2EfromList,axiom,
% 5.64/5.89 ! [A_27a: del] : ( mem @ ( c_2Ellist_2EfromList @ A_27a ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Ellist_2Ellist @ A_27a ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(tp_c_2Ellist_2Elinear__order__to__list__f,type,
% 5.64/5.89 c_2Ellist_2Elinear__order__to__list__f: del > $i ).
% 5.64/5.89
% 5.64/5.89 thf(mem_c_2Ellist_2Elinear__order__to__list__f,axiom,
% 5.64/5.89 ! [A_27a: del] : ( mem @ ( c_2Ellist_2Elinear__order__to__list__f @ A_27a ) @ ( arr @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) @ A_27a ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(tp_c_2Ellist_2Ellength__rel,type,
% 5.64/5.89 c_2Ellist_2Ellength__rel: del > $i ).
% 5.64/5.89
% 5.64/5.89 thf(mem_c_2Ellist_2Ellength__rel,axiom,
% 5.64/5.89 ! [A_27a: del] : ( mem @ ( c_2Ellist_2Ellength__rel @ A_27a ) @ ( arr @ ( ty_2Ellist_2Ellist @ A_27a ) @ ( arr @ ty_2Enum_2Enum @ bool ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(tp_c_2Ellist_2Ellist__abs,type,
% 5.64/5.89 c_2Ellist_2Ellist__abs: del > $i ).
% 5.64/5.89
% 5.64/5.89 thf(mem_c_2Ellist_2Ellist__abs,axiom,
% 5.64/5.89 ! [A_27a: del] : ( mem @ ( c_2Ellist_2Ellist__abs @ A_27a ) @ ( arr @ ( arr @ ty_2Enum_2Enum @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ ( ty_2Ellist_2Ellist @ A_27a ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(tp_c_2Ellist_2Ellist__rep,type,
% 5.64/5.89 c_2Ellist_2Ellist__rep: del > $i ).
% 5.64/5.89
% 5.64/5.89 thf(mem_c_2Ellist_2Ellist__rep,axiom,
% 5.64/5.89 ! [A_27a: del] : ( mem @ ( c_2Ellist_2Ellist__rep @ A_27a ) @ ( arr @ ( ty_2Ellist_2Ellist @ A_27a ) @ ( arr @ ty_2Enum_2Enum @ ( ty_2Eoption_2Eoption @ A_27a ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(tp_c_2Ellist_2Elrep__ok,type,
% 5.64/5.89 c_2Ellist_2Elrep__ok: del > $i ).
% 5.64/5.89
% 5.64/5.89 thf(mem_c_2Ellist_2Elrep__ok,axiom,
% 5.64/5.89 ! [A_27a: del] : ( mem @ ( c_2Ellist_2Elrep__ok @ A_27a ) @ ( arr @ ( arr @ ty_2Enum_2Enum @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ bool ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(tp_c_2Ellist_2EtoList,type,
% 5.64/5.89 c_2Ellist_2EtoList: del > $i ).
% 5.64/5.89
% 5.64/5.89 thf(mem_c_2Ellist_2EtoList,axiom,
% 5.64/5.89 ! [A_27a: del] : ( mem @ ( c_2Ellist_2EtoList @ A_27a ) @ ( arr @ ( ty_2Ellist_2Ellist @ A_27a ) @ ( ty_2Eoption_2Eoption @ ( ty_2Elist_2Elist @ A_27a ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(ax_thm_2Ellist_2Elrep__ok__def,axiom,
% 5.64/5.89 ! [A_27a: del] :
% 5.64/5.89 ( ( c_2Ellist_2Elrep__ok @ A_27a )
% 5.64/5.89 = ( lam @ ( arr @ ty_2Enum_2Enum @ ( ty_2Eoption_2Eoption @ A_27a ) )
% 5.64/5.89 @ ^ [V0a0: $i] :
% 5.64/5.89 ( ap @ ( c_2Ebool_2E_3F @ ( arr @ ( arr @ ty_2Enum_2Enum @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ bool ) )
% 5.64/5.89 @ ( lam @ ( arr @ ( arr @ ty_2Enum_2Enum @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ bool )
% 5.64/5.89 @ ^ [V1lrep__ok_27: $i] :
% 5.64/5.89 ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V1lrep__ok_27 @ V0a0 ) )
% 5.64/5.89 @ ( ap @ ( c_2Ebool_2E_21 @ ( arr @ ty_2Enum_2Enum @ ( ty_2Eoption_2Eoption @ A_27a ) ) )
% 5.64/5.89 @ ( lam @ ( arr @ ty_2Enum_2Enum @ ( ty_2Eoption_2Eoption @ A_27a ) )
% 5.64/5.89 @ ^ [V2a0: $i] :
% 5.64/5.89 ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ V1lrep__ok_27 @ V2a0 ) )
% 5.64/5.89 @ ( ap
% 5.64/5.89 @ ( ap @ c_2Ebool_2E_5C_2F
% 5.64/5.89 @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( arr @ ty_2Enum_2Enum @ ( ty_2Eoption_2Eoption @ A_27a ) ) ) @ V2a0 )
% 5.64/5.89 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.89 @ ^ [V3n: $i] : ( c_2Eoption_2ENONE @ A_27a ) ) ) )
% 5.64/5.89 @ ( ap @ ( c_2Ebool_2E_3F @ A_27a )
% 5.64/5.89 @ ( lam @ A_27a
% 5.64/5.89 @ ^ [V4h: $i] :
% 5.64/5.89 ( ap @ ( c_2Ebool_2E_3F @ ( arr @ ty_2Enum_2Enum @ ( ty_2Eoption_2Eoption @ A_27a ) ) )
% 5.64/5.89 @ ( lam @ ( arr @ ty_2Enum_2Enum @ ( ty_2Eoption_2Eoption @ A_27a ) )
% 5.64/5.89 @ ^ [V5t: $i] :
% 5.64/5.89 ( ap
% 5.64/5.89 @ ( ap @ c_2Ebool_2E_2F_5C
% 5.64/5.89 @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( arr @ ty_2Enum_2Enum @ ( ty_2Eoption_2Eoption @ A_27a ) ) ) @ V2a0 )
% 5.64/5.89 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.89 @ ^ [V6n: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ V6n ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) @ ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V4h ) ) @ ( ap @ V5t @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ V6n ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) )
% 5.64/5.89 @ ( ap @ V1lrep__ok_27 @ V5t ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Ellist_2Elrep__ok__rules,axiom,
% 5.64/5.89 ! [A_27a: del] :
% 5.64/5.89 ( ( p
% 5.64/5.89 @ ( ap @ ( c_2Ellist_2Elrep__ok @ A_27a )
% 5.64/5.89 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.89 @ ^ [V0n: $i] : ( c_2Eoption_2ENONE @ A_27a ) ) ) )
% 5.64/5.89 & ! [V1h: $i] :
% 5.64/5.89 ( ( mem @ V1h @ A_27a )
% 5.64/5.89 => ! [V2t: $i] :
% 5.64/5.89 ( ( mem @ V2t @ ( arr @ ty_2Enum_2Enum @ ( ty_2Eoption_2Eoption @ A_27a ) ) )
% 5.64/5.89 => ( ( p @ ( ap @ ( c_2Ellist_2Elrep__ok @ A_27a ) @ V2t ) )
% 5.64/5.89 => ( p
% 5.64/5.89 @ ( ap @ ( c_2Ellist_2Elrep__ok @ A_27a )
% 5.64/5.89 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.89 @ ^ [V3n: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ V3n ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) @ ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V1h ) ) @ ( ap @ V2t @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ V3n ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Ellist_2Elrep__ok__coind,axiom,
% 5.64/5.89 ! [A_27a: del,V0lrep__ok_27: $i] :
% 5.64/5.89 ( ( mem @ V0lrep__ok_27 @ ( arr @ ( arr @ ty_2Enum_2Enum @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ bool ) )
% 5.64/5.89 => ( ! [V1a0: $i] :
% 5.64/5.89 ( ( mem @ V1a0 @ ( arr @ ty_2Enum_2Enum @ ( ty_2Eoption_2Eoption @ A_27a ) ) )
% 5.64/5.89 => ( ( p @ ( ap @ V0lrep__ok_27 @ V1a0 ) )
% 5.64/5.89 => ( ( V1a0
% 5.64/5.89 = ( lam @ ty_2Enum_2Enum
% 5.64/5.89 @ ^ [V2n: $i] : ( c_2Eoption_2ENONE @ A_27a ) ) )
% 5.64/5.89 | ? [V3h: $i] :
% 5.64/5.89 ( ( mem @ V3h @ A_27a )
% 5.64/5.89 & ? [V4t: $i] :
% 5.64/5.89 ( ( mem @ V4t @ ( arr @ ty_2Enum_2Enum @ ( ty_2Eoption_2Eoption @ A_27a ) ) )
% 5.64/5.89 & ( V1a0
% 5.64/5.89 = ( lam @ ty_2Enum_2Enum
% 5.64/5.89 @ ^ [V5n: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ V5n ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) @ ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V3h ) ) @ ( ap @ V4t @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ V5n ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.64/5.89 & ( p @ ( ap @ V0lrep__ok_27 @ V4t ) ) ) ) ) ) )
% 5.64/5.89 => ! [V6a0: $i] :
% 5.64/5.89 ( ( mem @ V6a0 @ ( arr @ ty_2Enum_2Enum @ ( ty_2Eoption_2Eoption @ A_27a ) ) )
% 5.64/5.89 => ( ( p @ ( ap @ V0lrep__ok_27 @ V6a0 ) )
% 5.64/5.89 => ( p @ ( ap @ ( c_2Ellist_2Elrep__ok @ A_27a ) @ V6a0 ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Ellist_2Elrep__ok__cases,axiom,
% 5.64/5.89 ! [A_27a: del,V0a0: $i] :
% 5.64/5.89 ( ( mem @ V0a0 @ ( arr @ ty_2Enum_2Enum @ ( ty_2Eoption_2Eoption @ A_27a ) ) )
% 5.64/5.89 => ( ( p @ ( ap @ ( c_2Ellist_2Elrep__ok @ A_27a ) @ V0a0 ) )
% 5.64/5.89 <=> ( ( V0a0
% 5.64/5.89 = ( lam @ ty_2Enum_2Enum
% 5.64/5.89 @ ^ [V1n: $i] : ( c_2Eoption_2ENONE @ A_27a ) ) )
% 5.64/5.89 | ? [V2h: $i] :
% 5.64/5.89 ( ( mem @ V2h @ A_27a )
% 5.64/5.89 & ? [V3t: $i] :
% 5.64/5.89 ( ( mem @ V3t @ ( arr @ ty_2Enum_2Enum @ ( ty_2Eoption_2Eoption @ A_27a ) ) )
% 5.64/5.89 & ( V0a0
% 5.64/5.89 = ( lam @ ty_2Enum_2Enum
% 5.64/5.89 @ ^ [V4n: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ V4n ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) @ ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V2h ) ) @ ( ap @ V3t @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ V4n ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.64/5.89 & ( p @ ( ap @ ( c_2Ellist_2Elrep__ok @ A_27a ) @ V3t ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Ellist_2Elrep__ok__alt,axiom,
% 5.64/5.89 ! [A_27a: del,V0f: $i] :
% 5.64/5.89 ( ( mem @ V0f @ ( arr @ ty_2Enum_2Enum @ ( ty_2Eoption_2Eoption @ A_27a ) ) )
% 5.64/5.89 => ( ( p @ ( ap @ ( c_2Ellist_2Elrep__ok @ A_27a ) @ V0f ) )
% 5.64/5.89 <=> ! [V1n: tp__ty_2Enum_2Enum] :
% 5.64/5.89 ( ( p @ ( ap @ ( c_2Eoption_2EIS__SOME @ A_27a ) @ ( ap @ V0f @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) )
% 5.64/5.89 => ( p @ ( ap @ ( c_2Eoption_2EIS__SOME @ A_27a ) @ ( ap @ V0f @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(ax_thm_2Ellist_2Ellist__TY__DEF,axiom,
% 5.64/5.89 ! [A_27a: del] :
% 5.64/5.89 ? [V0rep: $i] :
% 5.64/5.89 ( ( mem @ V0rep @ ( arr @ ( ty_2Ellist_2Ellist @ A_27a ) @ ( arr @ ty_2Enum_2Enum @ ( ty_2Eoption_2Eoption @ A_27a ) ) ) )
% 5.64/5.89 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2ETYPE__DEFINITION @ ( arr @ ty_2Enum_2Enum @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ ( ty_2Ellist_2Ellist @ A_27a ) ) @ ( c_2Ellist_2Elrep__ok @ A_27a ) ) @ V0rep ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(ax_thm_2Ellist_2Ellist__absrep,axiom,
% 5.64/5.89 ! [A_27a: del] :
% 5.64/5.89 ( ! [V0a: $i] :
% 5.64/5.89 ( ( mem @ V0a @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.64/5.89 => ( ( ap @ ( c_2Ellist_2Ellist__abs @ A_27a ) @ ( ap @ ( c_2Ellist_2Ellist__rep @ A_27a ) @ V0a ) )
% 5.64/5.89 = V0a ) )
% 5.64/5.89 & ! [V1r: $i] :
% 5.64/5.89 ( ( mem @ V1r @ ( arr @ ty_2Enum_2Enum @ ( ty_2Eoption_2Eoption @ A_27a ) ) )
% 5.64/5.89 => ( ( p @ ( ap @ ( c_2Ellist_2Elrep__ok @ A_27a ) @ V1r ) )
% 5.64/5.89 <=> ( ( ap @ ( c_2Ellist_2Ellist__rep @ A_27a ) @ ( ap @ ( c_2Ellist_2Ellist__abs @ A_27a ) @ V1r ) )
% 5.64/5.89 = V1r ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Ellist_2Elrep__ok__MAP,axiom,
% 5.64/5.89 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.64/5.89 ( ( mem @ V0f @ ( arr @ A_27b @ A_27a ) )
% 5.64/5.89 => ! [V1g: $i] :
% 5.64/5.89 ( ( mem @ V1g @ ( arr @ ty_2Enum_2Enum @ ( ty_2Eoption_2Eoption @ A_27b ) ) )
% 5.64/5.89 => ( ( p
% 5.64/5.89 @ ( ap @ ( c_2Ellist_2Elrep__ok @ A_27a )
% 5.64/5.89 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.89 @ ^ [V2n: $i] : ( ap @ ( ap @ ( c_2Eoption_2EOPTION__MAP @ A_27b @ A_27a ) @ V0f ) @ ( ap @ V1g @ V2n ) ) ) ) )
% 5.64/5.89 <=> ( p @ ( ap @ ( c_2Ellist_2Elrep__ok @ A_27b ) @ V1g ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Ellist_2Elrep__ok__FUNPOW__BIND,axiom,
% 5.64/5.89 ! [A_27a: del,V0g: $i] :
% 5.64/5.89 ( ( mem @ V0g @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27a ) ) )
% 5.64/5.89 => ! [V1fz: $i] :
% 5.64/5.89 ( ( mem @ V1fz @ ( ty_2Eoption_2Eoption @ A_27a ) )
% 5.64/5.89 => ( p
% 5.64/5.89 @ ( ap @ ( c_2Ellist_2Elrep__ok @ A_27a )
% 5.64/5.89 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.89 @ ^ [V2n: $i] :
% 5.64/5.89 ( ap
% 5.64/5.89 @ ( ap
% 5.64/5.89 @ ( ap @ ( c_2Earithmetic_2EFUNPOW @ ( ty_2Eoption_2Eoption @ A_27a ) )
% 5.64/5.89 @ ( lam @ ( ty_2Eoption_2Eoption @ A_27a )
% 5.64/5.89 @ ^ [V3m: $i] : ( ap @ ( ap @ ( c_2Eoption_2EOPTION__BIND @ A_27a @ A_27a ) @ V3m ) @ V0g ) ) )
% 5.64/5.89 @ V2n )
% 5.64/5.89 @ V1fz ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(ax_thm_2Ellist_2ELNIL,axiom,
% 5.64/5.89 ! [A_27a: del] :
% 5.64/5.89 ( ( c_2Ellist_2ELNIL @ A_27a )
% 5.64/5.89 = ( ap @ ( c_2Ellist_2Ellist__abs @ A_27a )
% 5.64/5.89 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.89 @ ^ [V0n: $i] : ( c_2Eoption_2ENONE @ A_27a ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(ax_thm_2Ellist_2ELCONS,axiom,
% 5.64/5.89 ! [A_27a: del,V0h: $i] :
% 5.64/5.89 ( ( mem @ V0h @ A_27a )
% 5.64/5.89 => ! [V1t: $i] :
% 5.64/5.89 ( ( mem @ V1t @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.64/5.89 => ( ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27a ) @ V0h ) @ V1t )
% 5.64/5.89 = ( ap @ ( c_2Ellist_2Ellist__abs @ A_27a )
% 5.64/5.89 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.89 @ ^ [V2n: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ V2n ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) @ ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V0h ) ) @ ( ap @ ( ap @ ( c_2Ellist_2Ellist__rep @ A_27a ) @ V1t ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ V2n ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Ellist_2Ellist__rep__LCONS,axiom,
% 5.64/5.89 ! [A_27a: del,V0h: $i] :
% 5.64/5.89 ( ( mem @ V0h @ A_27a )
% 5.64/5.89 => ! [V1t: $i] :
% 5.64/5.89 ( ( mem @ V1t @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.64/5.89 => ( ( ap @ ( c_2Ellist_2Ellist__rep @ A_27a ) @ ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27a ) @ V0h ) @ V1t ) )
% 5.64/5.89 = ( lam @ ty_2Enum_2Enum
% 5.64/5.89 @ ^ [V2n: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ V2n ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) @ ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V0h ) ) @ ( ap @ ( ap @ ( c_2Ellist_2Ellist__rep @ A_27a ) @ V1t ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ V2n ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Ellist_2Ellist__rep__LNIL,axiom,
% 5.64/5.89 ! [A_27a: del] :
% 5.64/5.89 ( ( ap @ ( c_2Ellist_2Ellist__rep @ A_27a ) @ ( c_2Ellist_2ELNIL @ A_27a ) )
% 5.64/5.89 = ( lam @ ty_2Enum_2Enum
% 5.64/5.89 @ ^ [V0n: $i] : ( c_2Eoption_2ENONE @ A_27a ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(ax_thm_2Ellist_2ELTL__HD__def,axiom,
% 5.64/5.89 ! [A_27a: del,V0ll: $i] :
% 5.64/5.89 ( ( mem @ V0ll @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.64/5.89 => ( ( ap @ ( c_2Ellist_2ELTL__HD @ A_27a ) @ V0ll )
% 5.64/5.89 = ( ap @ ( ap @ ( ap @ ( c_2Eoption_2Eoption__CASE @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ( ty_2Ellist_2Ellist @ A_27a ) @ A_27a ) ) ) @ ( ap @ ( ap @ ( c_2Ellist_2Ellist__rep @ A_27a ) @ V0ll ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) @ ( c_2Eoption_2ENONE @ ( ty_2Epair_2Eprod @ ( ty_2Ellist_2Ellist @ A_27a ) @ A_27a ) ) )
% 5.64/5.89 @ ( lam @ A_27a
% 5.64/5.89 @ ^ [V1h: $i] : ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Epair_2Eprod @ ( ty_2Ellist_2Ellist @ A_27a ) @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Ellist_2Ellist @ A_27a ) @ A_27a ) @ ( ap @ ( c_2Ellist_2Ellist__abs @ A_27a ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ty_2Enum_2Enum @ ( ty_2Eoption_2Eoption @ A_27a ) @ ty_2Enum_2Enum ) @ ( ap @ ( c_2Ellist_2Ellist__rep @ A_27a ) @ V0ll ) ) @ c_2Enum_2ESUC ) ) ) @ V1h ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Ellist_2ELTL__HD__LNIL,axiom,
% 5.64/5.89 ! [A_27a: del] :
% 5.64/5.89 ( ( ap @ ( c_2Ellist_2ELTL__HD @ A_27a ) @ ( c_2Ellist_2ELNIL @ A_27a ) )
% 5.64/5.89 = ( c_2Eoption_2ENONE @ ( ty_2Epair_2Eprod @ ( ty_2Ellist_2Ellist @ A_27a ) @ A_27a ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Ellist_2ELTL__HD__LCONS,axiom,
% 5.64/5.89 ! [A_27a: del,V0h: $i] :
% 5.64/5.89 ( ( mem @ V0h @ A_27a )
% 5.64/5.89 => ! [V1t: $i] :
% 5.64/5.89 ( ( mem @ V1t @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.64/5.89 => ( ( ap @ ( c_2Ellist_2ELTL__HD @ A_27a ) @ ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27a ) @ V0h ) @ V1t ) )
% 5.64/5.89 = ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Epair_2Eprod @ ( ty_2Ellist_2Ellist @ A_27a ) @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Ellist_2Ellist @ A_27a ) @ A_27a ) @ V1t ) @ V0h ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(ax_thm_2Ellist_2ELHD,axiom,
% 5.64/5.89 ! [A_27a: del,V0ll: $i] :
% 5.64/5.89 ( ( mem @ V0ll @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.64/5.89 => ( ( ap @ ( c_2Ellist_2ELHD @ A_27a ) @ V0ll )
% 5.64/5.89 = ( ap @ ( ap @ ( c_2Ellist_2Ellist__rep @ A_27a ) @ V0ll ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(ax_thm_2Ellist_2ELTL,axiom,
% 5.64/5.89 ! [A_27a: del,V0ll: $i] :
% 5.64/5.89 ( ( mem @ V0ll @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.64/5.89 => ( ( ap @ ( c_2Ellist_2ELTL @ A_27a ) @ V0ll )
% 5.64/5.89 = ( ap @ ( ap @ ( ap @ ( c_2Eoption_2Eoption__CASE @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Ellist_2Ellist @ A_27a ) ) ) @ ( ap @ ( c_2Ellist_2ELHD @ A_27a ) @ V0ll ) ) @ ( c_2Eoption_2ENONE @ ( ty_2Ellist_2Ellist @ A_27a ) ) )
% 5.64/5.89 @ ( lam @ A_27a
% 5.64/5.89 @ ^ [V1v: $i] :
% 5.64/5.89 ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.64/5.89 @ ( ap @ ( c_2Ellist_2Ellist__abs @ A_27a )
% 5.64/5.89 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.89 @ ^ [V2n: $i] : ( ap @ ( ap @ ( c_2Ellist_2Ellist__rep @ A_27a ) @ V0ll ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ V2n ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Ellist_2ELTL__HD__HD,axiom,
% 5.64/5.89 ! [A_27a: del,V0ll: $i] :
% 5.64/5.89 ( ( mem @ V0ll @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.64/5.89 => ( ( ap @ ( c_2Ellist_2ELHD @ A_27a ) @ V0ll )
% 5.64/5.89 = ( ap @ ( ap @ ( c_2Eoption_2EOPTION__MAP @ ( ty_2Epair_2Eprod @ ( ty_2Ellist_2Ellist @ A_27a ) @ A_27a ) @ A_27a ) @ ( c_2Epair_2ESND @ ( ty_2Ellist_2Ellist @ A_27a ) @ A_27a ) ) @ ( ap @ ( c_2Ellist_2ELTL__HD @ A_27a ) @ V0ll ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Ellist_2ELTL__HD__TL,axiom,
% 5.64/5.89 ! [A_27a: del,V0ll: $i] :
% 5.64/5.89 ( ( mem @ V0ll @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.64/5.89 => ( ( ap @ ( c_2Ellist_2ELTL @ A_27a ) @ V0ll )
% 5.64/5.89 = ( ap @ ( ap @ ( c_2Eoption_2EOPTION__MAP @ ( ty_2Epair_2Eprod @ ( ty_2Ellist_2Ellist @ A_27a ) @ A_27a ) @ ( ty_2Ellist_2Ellist @ A_27a ) ) @ ( c_2Epair_2EFST @ ( ty_2Ellist_2Ellist @ A_27a ) @ A_27a ) ) @ ( ap @ ( c_2Ellist_2ELTL__HD @ A_27a ) @ V0ll ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Ellist_2ELHD__LCONS,axiom,
% 5.64/5.89 ! [A_27a: del,V0h: $i] :
% 5.64/5.89 ( ( mem @ V0h @ A_27a )
% 5.64/5.89 => ! [V1t: $i] :
% 5.64/5.89 ( ( mem @ V1t @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.64/5.89 => ( ( ap @ ( c_2Ellist_2ELHD @ A_27a ) @ ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27a ) @ V0h ) @ V1t ) )
% 5.64/5.89 = ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V0h ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Ellist_2ELTL__LCONS,axiom,
% 5.64/5.89 ! [A_27a: del,V0h: $i] :
% 5.64/5.89 ( ( mem @ V0h @ A_27a )
% 5.64/5.89 => ! [V1t: $i] :
% 5.64/5.89 ( ( mem @ V1t @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.64/5.89 => ( ( ap @ ( c_2Ellist_2ELTL @ A_27a ) @ ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27a ) @ V0h ) @ V1t ) )
% 5.64/5.89 = ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Ellist_2Ellist @ A_27a ) ) @ V1t ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Ellist_2ELHDTL__CONS__THM,axiom,
% 5.64/5.89 ! [A_27a: del,V0h: $i] :
% 5.64/5.89 ( ( mem @ V0h @ A_27a )
% 5.64/5.89 => ! [V1t: $i] :
% 5.64/5.89 ( ( mem @ V1t @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.64/5.89 => ( ( ( ap @ ( c_2Ellist_2ELHD @ A_27a ) @ ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27a ) @ V0h ) @ V1t ) )
% 5.64/5.89 = ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V0h ) )
% 5.64/5.89 & ( ( ap @ ( c_2Ellist_2ELTL @ A_27a ) @ ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27a ) @ V0h ) @ V1t ) )
% 5.64/5.89 = ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Ellist_2Ellist @ A_27a ) ) @ V1t ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Ellist_2Ellist__CASES,axiom,
% 5.64/5.89 ! [A_27a: del,V0l: $i] :
% 5.64/5.89 ( ( mem @ V0l @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.64/5.89 => ( ( V0l
% 5.64/5.89 = ( c_2Ellist_2ELNIL @ A_27a ) )
% 5.64/5.89 | ? [V1h: $i] :
% 5.64/5.89 ( ( mem @ V1h @ A_27a )
% 5.64/5.89 & ? [V2t: $i] :
% 5.64/5.89 ( ( mem @ V2t @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.64/5.89 & ( V0l
% 5.64/5.89 = ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27a ) @ V1h ) @ V2t ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Ellist_2ELTL__HD__11,axiom,
% 5.64/5.89 ! [A_27a: del,V0ll1: $i] :
% 5.64/5.89 ( ( mem @ V0ll1 @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.64/5.89 => ! [V1ll2: $i] :
% 5.64/5.89 ( ( mem @ V1ll2 @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.64/5.89 => ( ( ( ap @ ( c_2Ellist_2ELTL__HD @ A_27a ) @ V0ll1 )
% 5.64/5.89 = ( ap @ ( c_2Ellist_2ELTL__HD @ A_27a ) @ V1ll2 ) )
% 5.64/5.89 => ( V0ll1 = V1ll2 ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Ellist_2ELHD__THM,axiom,
% 5.64/5.89 ! [A_27a: del,A_27b: del] :
% 5.64/5.89 ( ( ( ap @ ( c_2Ellist_2ELHD @ A_27a ) @ ( c_2Ellist_2ELNIL @ A_27a ) )
% 5.64/5.89 = ( c_2Eoption_2ENONE @ A_27a ) )
% 5.64/5.89 & ! [V0h: $i] :
% 5.64/5.89 ( ( mem @ V0h @ A_27b )
% 5.64/5.89 => ! [V1t: $i] :
% 5.64/5.89 ( ( mem @ V1t @ ( ty_2Ellist_2Ellist @ A_27b ) )
% 5.64/5.89 => ( ( ap @ ( c_2Ellist_2ELHD @ A_27b ) @ ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27b ) @ V0h ) @ V1t ) )
% 5.64/5.89 = ( ap @ ( c_2Eoption_2ESOME @ A_27b ) @ V0h ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Ellist_2ELTL__THM,axiom,
% 5.64/5.89 ! [A_27a: del,A_27b: del] :
% 5.64/5.89 ( ( ( ap @ ( c_2Ellist_2ELTL @ A_27a ) @ ( c_2Ellist_2ELNIL @ A_27a ) )
% 5.64/5.89 = ( c_2Eoption_2ENONE @ ( ty_2Ellist_2Ellist @ A_27a ) ) )
% 5.64/5.89 & ! [V0h: $i] :
% 5.64/5.89 ( ( mem @ V0h @ A_27b )
% 5.64/5.89 => ! [V1t: $i] :
% 5.64/5.89 ( ( mem @ V1t @ ( ty_2Ellist_2Ellist @ A_27b ) )
% 5.64/5.89 => ( ( ap @ ( c_2Ellist_2ELTL @ A_27b ) @ ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27b ) @ V0h ) @ V1t ) )
% 5.64/5.89 = ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Ellist_2Ellist @ A_27b ) ) @ V1t ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Ellist_2ELCONS__NOT__NIL,axiom,
% 5.64/5.89 ! [A_27a: del,V0h: $i] :
% 5.64/5.89 ( ( mem @ V0h @ A_27a )
% 5.64/5.89 => ! [V1t: $i] :
% 5.64/5.89 ( ( mem @ V1t @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.64/5.89 => ( ( ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27a ) @ V0h ) @ V1t )
% 5.64/5.89 != ( c_2Ellist_2ELNIL @ A_27a ) )
% 5.64/5.89 & ( ( c_2Ellist_2ELNIL @ A_27a )
% 5.64/5.89 != ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27a ) @ V0h ) @ V1t ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Ellist_2ELCONS__11,axiom,
% 5.64/5.89 ! [A_27a: del,V0h1: $i] :
% 5.64/5.89 ( ( mem @ V0h1 @ A_27a )
% 5.64/5.89 => ! [V1t1: $i] :
% 5.64/5.89 ( ( mem @ V1t1 @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.64/5.89 => ! [V2h2: $i] :
% 5.64/5.89 ( ( mem @ V2h2 @ A_27a )
% 5.64/5.89 => ! [V3t2: $i] :
% 5.64/5.89 ( ( mem @ V3t2 @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.64/5.89 => ( ( ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27a ) @ V0h1 ) @ V1t1 )
% 5.64/5.89 = ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27a ) @ V2h2 ) @ V3t2 ) )
% 5.64/5.89 <=> ( ( V0h1 = V2h2 )
% 5.64/5.89 & ( V1t1 = V3t2 ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Ellist_2ELTL__HD__iff,axiom,
% 5.64/5.89 ! [A_27a: del,V0x: $i] :
% 5.64/5.89 ( ( mem @ V0x @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.64/5.89 => ! [V1t: $i] :
% 5.64/5.89 ( ( mem @ V1t @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.64/5.89 => ! [V2h: $i] :
% 5.64/5.89 ( ( mem @ V2h @ A_27a )
% 5.64/5.89 => ( ( ( ( ap @ ( c_2Ellist_2ELTL__HD @ A_27a ) @ V0x )
% 5.64/5.89 = ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Epair_2Eprod @ ( ty_2Ellist_2Ellist @ A_27a ) @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Ellist_2Ellist @ A_27a ) @ A_27a ) @ V1t ) @ V2h ) ) )
% 5.64/5.89 <=> ( V0x
% 5.64/5.89 = ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27a ) @ V2h ) @ V1t ) ) )
% 5.64/5.89 & ( ( ( ap @ ( c_2Ellist_2ELTL__HD @ A_27a ) @ V0x )
% 5.64/5.89 = ( c_2Eoption_2ENONE @ ( ty_2Epair_2Eprod @ ( ty_2Ellist_2Ellist @ A_27a ) @ A_27a ) ) )
% 5.64/5.89 <=> ( V0x
% 5.64/5.89 = ( c_2Ellist_2ELNIL @ A_27a ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Ellist_2ELHD__EQ__NONE,axiom,
% 5.64/5.89 ! [A_27a: del,V0ll: $i] :
% 5.64/5.89 ( ( mem @ V0ll @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.64/5.89 => ( ( ( ( ap @ ( c_2Ellist_2ELHD @ A_27a ) @ V0ll )
% 5.64/5.89 = ( c_2Eoption_2ENONE @ A_27a ) )
% 5.64/5.89 <=> ( V0ll
% 5.64/5.89 = ( c_2Ellist_2ELNIL @ A_27a ) ) )
% 5.64/5.89 & ( ( ( c_2Eoption_2ENONE @ A_27a )
% 5.64/5.89 = ( ap @ ( c_2Ellist_2ELHD @ A_27a ) @ V0ll ) )
% 5.64/5.89 <=> ( V0ll
% 5.64/5.89 = ( c_2Ellist_2ELNIL @ A_27a ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Ellist_2ELTL__EQ__NONE,axiom,
% 5.64/5.89 ! [A_27a: del,V0ll: $i] :
% 5.64/5.89 ( ( mem @ V0ll @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.64/5.89 => ( ( ( ( ap @ ( c_2Ellist_2ELTL @ A_27a ) @ V0ll )
% 5.64/5.89 = ( c_2Eoption_2ENONE @ ( ty_2Ellist_2Ellist @ A_27a ) ) )
% 5.64/5.89 <=> ( V0ll
% 5.64/5.89 = ( c_2Ellist_2ELNIL @ A_27a ) ) )
% 5.64/5.89 & ( ( ( c_2Eoption_2ENONE @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.64/5.89 = ( ap @ ( c_2Ellist_2ELTL @ A_27a ) @ V0ll ) )
% 5.64/5.89 <=> ( V0ll
% 5.64/5.89 = ( c_2Ellist_2ELNIL @ A_27a ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Ellist_2ELHDTL__EQ__SOME,axiom,
% 5.64/5.89 ! [A_27a: del,V0h: $i] :
% 5.64/5.89 ( ( mem @ V0h @ A_27a )
% 5.64/5.89 => ! [V1t: $i] :
% 5.64/5.89 ( ( mem @ V1t @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.64/5.89 => ! [V2ll: $i] :
% 5.64/5.89 ( ( mem @ V2ll @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.64/5.89 => ( ( V2ll
% 5.64/5.89 = ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27a ) @ V0h ) @ V1t ) )
% 5.64/5.89 <=> ( ( ( ap @ ( c_2Ellist_2ELHD @ A_27a ) @ V2ll )
% 5.64/5.89 = ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V0h ) )
% 5.64/5.89 & ( ( ap @ ( c_2Ellist_2ELTL @ A_27a ) @ V2ll )
% 5.64/5.89 = ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Ellist_2Ellist @ A_27a ) ) @ V1t ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(ax_thm_2Ellist_2ELNTH,axiom,
% 5.64/5.89 ! [A_27a: del] :
% 5.64/5.89 ( ! [V0ll: $i] :
% 5.64/5.89 ( ( mem @ V0ll @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.64/5.89 => ( ( ap @ ( ap @ ( c_2Ellist_2ELNTH @ A_27a ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ V0ll )
% 5.64/5.89 = ( ap @ ( c_2Ellist_2ELHD @ A_27a ) @ V0ll ) ) )
% 5.64/5.89 & ! [V1n: tp__ty_2Enum_2Enum,V2ll: $i] :
% 5.64/5.89 ( ( mem @ V2ll @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.64/5.89 => ( ( ap @ ( ap @ ( c_2Ellist_2ELNTH @ A_27a ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ V2ll )
% 5.64/5.89 = ( ap @ ( c_2Eoption_2EOPTION__JOIN @ A_27a ) @ ( ap @ ( ap @ ( c_2Eoption_2EOPTION__MAP @ ( ty_2Ellist_2Ellist @ A_27a ) @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ ( ap @ ( c_2Ellist_2ELNTH @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ ( ap @ ( c_2Ellist_2ELTL @ A_27a ) @ V2ll ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Ellist_2ELNTH__THM,axiom,
% 5.64/5.89 ! [A_27a: del,A_27b: del,A_27c: del] :
% 5.64/5.89 ( ! [V0n: tp__ty_2Enum_2Enum] :
% 5.64/5.89 ( ( ap @ ( ap @ ( c_2Ellist_2ELNTH @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( c_2Ellist_2ELNIL @ A_27a ) )
% 5.64/5.89 = ( c_2Eoption_2ENONE @ A_27a ) )
% 5.64/5.89 & ! [V1h: $i] :
% 5.64/5.89 ( ( mem @ V1h @ A_27b )
% 5.64/5.89 => ! [V2t: $i] :
% 5.64/5.89 ( ( mem @ V2t @ ( ty_2Ellist_2Ellist @ A_27b ) )
% 5.64/5.89 => ( ( ap @ ( ap @ ( c_2Ellist_2ELNTH @ A_27b ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27b ) @ V1h ) @ V2t ) )
% 5.64/5.89 = ( ap @ ( c_2Eoption_2ESOME @ A_27b ) @ V1h ) ) ) )
% 5.64/5.89 & ! [V3n: tp__ty_2Enum_2Enum,V4h: $i] :
% 5.64/5.89 ( ( mem @ V4h @ A_27c )
% 5.64/5.89 => ! [V5t: $i] :
% 5.64/5.89 ( ( mem @ V5t @ ( ty_2Ellist_2Ellist @ A_27c ) )
% 5.64/5.89 => ( ( ap @ ( ap @ ( c_2Ellist_2ELNTH @ A_27c ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) @ ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27c ) @ V4h ) @ V5t ) )
% 5.64/5.89 = ( ap @ ( ap @ ( c_2Ellist_2ELNTH @ A_27c ) @ ( inj__ty_2Enum_2Enum @ V3n ) ) @ V5t ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Ellist_2ELNTH__rep,axiom,
% 5.64/5.89 ! [A_27a: del,V0i: tp__ty_2Enum_2Enum,V1ll: $i] :
% 5.64/5.89 ( ( mem @ V1ll @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.64/5.89 => ( ( ap @ ( ap @ ( c_2Ellist_2ELNTH @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0i ) ) @ V1ll )
% 5.64/5.89 = ( ap @ ( ap @ ( c_2Ellist_2Ellist__rep @ A_27a ) @ V1ll ) @ ( inj__ty_2Enum_2Enum @ V0i ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Ellist_2ELNTH__EQ,axiom,
% 5.64/5.89 ! [A_27a: del,V0ll1: $i] :
% 5.64/5.89 ( ( mem @ V0ll1 @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.64/5.89 => ! [V1ll2: $i] :
% 5.64/5.89 ( ( mem @ V1ll2 @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.64/5.89 => ( ( V0ll1 = V1ll2 )
% 5.64/5.89 <=> ! [V2n: tp__ty_2Enum_2Enum] :
% 5.64/5.89 ( ( ap @ ( ap @ ( c_2Ellist_2ELNTH @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ V0ll1 )
% 5.64/5.89 = ( ap @ ( ap @ ( c_2Ellist_2ELNTH @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ V1ll2 ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(ax_thm_2Ellist_2ELUNFOLD__def,axiom,
% 5.64/5.89 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.64/5.89 ( ( mem @ V0f @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) )
% 5.64/5.89 => ! [V1z: $i] :
% 5.64/5.89 ( ( mem @ V1z @ A_27b )
% 5.64/5.89 => ( ( ap @ ( ap @ ( c_2Ellist_2ELUNFOLD @ A_27a @ A_27b ) @ V0f ) @ V1z )
% 5.64/5.89 = ( ap @ ( c_2Ellist_2Ellist__abs @ A_27a )
% 5.64/5.89 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.89 @ ^ [V2n: $i] :
% 5.64/5.89 ( ap @ ( ap @ ( c_2Eoption_2EOPTION__MAP @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) @ A_27a ) @ ( c_2Epair_2ESND @ A_27b @ A_27a ) )
% 5.64/5.89 @ ( ap
% 5.64/5.89 @ ( ap
% 5.64/5.89 @ ( ap @ ( c_2Earithmetic_2EFUNPOW @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) )
% 5.64/5.89 @ ( lam @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) )
% 5.64/5.89 @ ^ [V3m: $i] : ( ap @ ( ap @ ( c_2Eoption_2EOPTION__BIND @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) @ V3m ) @ ( ap @ ( c_2Epair_2EUNCURRY @ A_27b @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) @ ( c_2Ecombin_2EK @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) @ A_27a ) ) @ V0f ) ) ) ) )
% 5.64/5.89 @ V2n )
% 5.64/5.89 @ ( ap @ V0f @ V1z ) ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Ellist_2ELUNFOLD,axiom,
% 5.64/5.89 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.64/5.89 ( ( mem @ V0f @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) ) )
% 5.64/5.89 => ! [V1x: $i] :
% 5.64/5.89 ( ( mem @ V1x @ A_27a )
% 5.64/5.89 => ( ( ap @ ( ap @ ( c_2Ellist_2ELUNFOLD @ A_27b @ A_27a ) @ V0f ) @ V1x )
% 5.64/5.89 = ( ap @ ( ap @ ( ap @ ( c_2Eoption_2Eoption__CASE @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ ( ty_2Ellist_2Ellist @ A_27b ) ) @ ( ap @ V0f @ V1x ) ) @ ( c_2Ellist_2ELNIL @ A_27b ) )
% 5.64/5.89 @ ( lam @ ( ty_2Epair_2Eprod @ A_27a @ A_27b )
% 5.64/5.89 @ ^ [V2v: $i] :
% 5.64/5.89 ( ap @ ( ap @ ( c_2Epair_2Epair__CASE @ ( ty_2Ellist_2Ellist @ A_27b ) @ A_27a @ A_27b ) @ V2v )
% 5.64/5.89 @ ( lam @ A_27a
% 5.64/5.89 @ ^ [V3v1: $i] :
% 5.64/5.89 ( lam @ A_27b
% 5.64/5.89 @ ^ [V4v2: $i] : ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27b ) @ V4v2 ) @ ( ap @ ( ap @ ( c_2Ellist_2ELUNFOLD @ A_27b @ A_27a ) @ V0f ) @ V3v1 ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Ellist_2ELUNFOLD__UNIQUE,axiom,
% 5.64/5.89 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.64/5.89 ( ( mem @ V0f @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) ) )
% 5.64/5.89 => ! [V1g: $i] :
% 5.64/5.89 ( ( mem @ V1g @ ( arr @ A_27a @ ( ty_2Ellist_2Ellist @ A_27b ) ) )
% 5.64/5.89 => ( ! [V2x: $i] :
% 5.64/5.89 ( ( mem @ V2x @ A_27a )
% 5.64/5.89 => ( ( ap @ V1g @ V2x )
% 5.64/5.89 = ( ap @ ( ap @ ( ap @ ( c_2Eoption_2Eoption__CASE @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ ( ty_2Ellist_2Ellist @ A_27b ) ) @ ( ap @ V0f @ V2x ) ) @ ( c_2Ellist_2ELNIL @ A_27b ) )
% 5.64/5.89 @ ( lam @ ( ty_2Epair_2Eprod @ A_27a @ A_27b )
% 5.64/5.89 @ ^ [V3v: $i] :
% 5.64/5.89 ( ap @ ( ap @ ( c_2Epair_2Epair__CASE @ ( ty_2Ellist_2Ellist @ A_27b ) @ A_27a @ A_27b ) @ V3v )
% 5.64/5.89 @ ( lam @ A_27a
% 5.64/5.89 @ ^ [V4v1: $i] :
% 5.64/5.89 ( lam @ A_27b
% 5.64/5.89 @ ^ [V5v2: $i] : ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27b ) @ V5v2 ) @ ( ap @ V1g @ V4v1 ) ) ) ) ) ) ) ) )
% 5.64/5.89 => ! [V6y: $i] :
% 5.64/5.89 ( ( mem @ V6y @ A_27a )
% 5.64/5.89 => ( ( ap @ V1g @ V6y )
% 5.64/5.89 = ( ap @ ( ap @ ( c_2Ellist_2ELUNFOLD @ A_27b @ A_27a ) @ V0f ) @ V6y ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Ellist_2ELUNFOLD__LTL__HD,axiom,
% 5.64/5.89 ! [A_27a: del,V0ll: $i] :
% 5.64/5.89 ( ( mem @ V0ll @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.64/5.89 => ( ( ap @ ( ap @ ( c_2Ellist_2ELUNFOLD @ A_27a @ ( ty_2Ellist_2Ellist @ A_27a ) ) @ ( c_2Ellist_2ELTL__HD @ A_27a ) ) @ V0ll )
% 5.64/5.89 = V0ll ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Ellist_2ELTL__HD__LUNFOLD,axiom,
% 5.64/5.89 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.64/5.89 ( ( mem @ V0f @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) )
% 5.64/5.89 => ! [V1x: $i] :
% 5.64/5.89 ( ( mem @ V1x @ A_27b )
% 5.64/5.89 => ( ( ap @ ( c_2Ellist_2ELTL__HD @ A_27a ) @ ( ap @ ( ap @ ( c_2Ellist_2ELUNFOLD @ A_27a @ A_27b ) @ V0f ) @ V1x ) )
% 5.64/5.89 = ( ap @ ( ap @ ( c_2Eoption_2EOPTION__MAP @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) @ ( ty_2Epair_2Eprod @ ( ty_2Ellist_2Ellist @ A_27a ) @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_23_23 @ A_27b @ A_27a @ ( ty_2Ellist_2Ellist @ A_27a ) @ A_27a ) @ ( ap @ ( c_2Ellist_2ELUNFOLD @ A_27a @ A_27b ) @ V0f ) ) @ ( c_2Ecombin_2EI @ A_27a ) ) ) @ ( ap @ V0f @ V1x ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Ellist_2ELNTH__LUNFOLD,axiom,
% 5.64/5.89 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.64/5.89 ( ( mem @ V0f @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) )
% 5.64/5.89 => ! [V1x: $i] :
% 5.64/5.89 ( ( mem @ V1x @ A_27b )
% 5.64/5.89 => ! [V2n: tp__ty_2Enum_2Enum] :
% 5.64/5.89 ( ( ( ap @ ( ap @ ( c_2Ellist_2ELNTH @ A_27a ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ ( ap @ ( c_2Ellist_2ELUNFOLD @ A_27a @ A_27b ) @ V0f ) @ V1x ) )
% 5.64/5.89 = ( ap @ ( ap @ ( c_2Eoption_2EOPTION__MAP @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) @ A_27a ) @ ( c_2Epair_2ESND @ A_27b @ A_27a ) ) @ ( ap @ V0f @ V1x ) ) )
% 5.64/5.89 & ( ( ap @ ( ap @ ( c_2Ellist_2ELNTH @ A_27a ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) @ ( ap @ ( ap @ ( c_2Ellist_2ELUNFOLD @ A_27a @ A_27b ) @ V0f ) @ V1x ) )
% 5.64/5.89 = ( ap @ ( ap @ ( ap @ ( c_2Eoption_2Eoption__CASE @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ ( ap @ V0f @ V1x ) ) @ ( c_2Eoption_2ENONE @ A_27a ) )
% 5.64/5.89 @ ( lam @ ( ty_2Epair_2Eprod @ A_27b @ A_27a )
% 5.64/5.89 @ ^ [V3v: $i] :
% 5.64/5.89 ( ap @ ( ap @ ( c_2Epair_2Epair__CASE @ ( ty_2Eoption_2Eoption @ A_27a ) @ A_27b @ A_27a ) @ V3v )
% 5.64/5.89 @ ( lam @ A_27b
% 5.64/5.89 @ ^ [V4tx: $i] :
% 5.64/5.89 ( lam @ A_27a
% 5.64/5.89 @ ^ [V5hx: $i] : ( ap @ ( ap @ ( c_2Ellist_2ELNTH @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( ap @ ( ap @ ( c_2Ellist_2ELUNFOLD @ A_27a @ A_27b ) @ V0f ) @ V4tx ) ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Ellist_2ELNTH__LUNFOLD__compute,axiom,
% 5.64/5.89 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.64/5.89 ( ( mem @ V0f @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) )
% 5.64/5.89 => ! [V1x: $i] :
% 5.64/5.89 ( ( mem @ V1x @ A_27b )
% 5.64/5.89 => ( ( ( ap @ ( ap @ ( c_2Ellist_2ELNTH @ A_27a ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ ( ap @ ( c_2Ellist_2ELUNFOLD @ A_27a @ A_27b ) @ V0f ) @ V1x ) )
% 5.64/5.89 = ( ap @ ( ap @ ( c_2Eoption_2EOPTION__MAP @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) @ A_27a ) @ ( c_2Epair_2ESND @ A_27b @ A_27a ) ) @ ( ap @ V0f @ V1x ) ) )
% 5.64/5.89 & ! [V2n: tp__ty_2Enum_2Enum] :
% 5.64/5.89 ( ( ap @ ( ap @ ( c_2Ellist_2ELNTH @ A_27a ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) @ ( ap @ ( ap @ ( c_2Ellist_2ELUNFOLD @ A_27a @ A_27b ) @ V0f ) @ V1x ) )
% 5.64/5.89 = ( ap @ ( ap @ ( ap @ ( c_2Eoption_2Eoption__CASE @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ ( ap @ V0f @ V1x ) ) @ ( c_2Eoption_2ENONE @ A_27a ) )
% 5.64/5.89 @ ( lam @ ( ty_2Epair_2Eprod @ A_27b @ A_27a )
% 5.64/5.89 @ ^ [V3v: $i] :
% 5.64/5.89 ( ap @ ( ap @ ( c_2Epair_2Epair__CASE @ ( ty_2Eoption_2Eoption @ A_27a ) @ A_27b @ A_27a ) @ V3v )
% 5.64/5.89 @ ( lam @ A_27b
% 5.64/5.89 @ ^ [V4tx: $i] :
% 5.64/5.89 ( lam @ A_27a
% 5.64/5.89 @ ^ [V5hx: $i] : ( ap @ ( ap @ ( c_2Ellist_2ELNTH @ A_27a ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Ellist_2ELUNFOLD @ A_27a @ A_27b ) @ V0f ) @ V4tx ) ) ) ) ) ) ) )
% 5.64/5.89 & ! [V6n: tp__ty_2Enum_2Enum] :
% 5.64/5.89 ( ( ap @ ( ap @ ( c_2Ellist_2ELNTH @ A_27a ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V6n ) ) ) ) @ ( ap @ ( ap @ ( c_2Ellist_2ELUNFOLD @ A_27a @ A_27b ) @ V0f ) @ V1x ) )
% 5.64/5.89 = ( ap @ ( ap @ ( ap @ ( c_2Eoption_2Eoption__CASE @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ ( ap @ V0f @ V1x ) ) @ ( c_2Eoption_2ENONE @ A_27a ) )
% 5.64/5.89 @ ( lam @ ( ty_2Epair_2Eprod @ A_27b @ A_27a )
% 5.64/5.89 @ ^ [V7v: $i] :
% 5.64/5.89 ( ap @ ( ap @ ( c_2Epair_2Epair__CASE @ ( ty_2Eoption_2Eoption @ A_27a ) @ A_27b @ A_27a ) @ V7v )
% 5.64/5.89 @ ( lam @ A_27b
% 5.64/5.89 @ ^ [V8tx: $i] :
% 5.64/5.89 ( lam @ A_27a
% 5.64/5.89 @ ^ [V9hx: $i] : ( ap @ ( ap @ ( c_2Ellist_2ELNTH @ A_27a ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V6n ) ) ) ) @ ( ap @ ( ap @ ( c_2Ellist_2ELUNFOLD @ A_27a @ A_27b ) @ V0f ) @ V8tx ) ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Ellist_2ELHD__LUNFOLD,axiom,
% 5.64/5.89 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.64/5.89 ( ( mem @ V0f @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) )
% 5.64/5.89 => ! [V1x: $i] :
% 5.64/5.89 ( ( mem @ V1x @ A_27b )
% 5.64/5.89 => ( ( ap @ ( c_2Ellist_2ELHD @ A_27a ) @ ( ap @ ( ap @ ( c_2Ellist_2ELUNFOLD @ A_27a @ A_27b ) @ V0f ) @ V1x ) )
% 5.64/5.89 = ( ap @ ( ap @ ( c_2Eoption_2EOPTION__MAP @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) @ A_27a ) @ ( c_2Epair_2ESND @ A_27b @ A_27a ) ) @ ( ap @ V0f @ V1x ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Ellist_2ELTL__LUNFOLD,axiom,
% 5.64/5.89 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.64/5.89 ( ( mem @ V0f @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) )
% 5.64/5.89 => ! [V1x: $i] :
% 5.64/5.89 ( ( mem @ V1x @ A_27b )
% 5.64/5.89 => ( ( ap @ ( c_2Ellist_2ELTL @ A_27a ) @ ( ap @ ( ap @ ( c_2Ellist_2ELUNFOLD @ A_27a @ A_27b ) @ V0f ) @ V1x ) )
% 5.64/5.89 = ( ap @ ( ap @ ( c_2Eoption_2EOPTION__MAP @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) @ ( ty_2Ellist_2Ellist @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) @ ( ty_2Ellist_2Ellist @ A_27a ) @ A_27b ) @ ( ap @ ( c_2Ellist_2ELUNFOLD @ A_27a @ A_27b ) @ V0f ) ) @ ( c_2Epair_2EFST @ A_27b @ A_27a ) ) ) @ ( ap @ V0f @ V1x ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Ellist_2Ellist__Axiom__1,axiom,
% 5.64/5.89 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.64/5.89 ( ( mem @ V0f @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) ) )
% 5.64/5.89 => ? [V1g: $i] :
% 5.64/5.89 ( ( mem @ V1g @ ( arr @ A_27a @ ( ty_2Ellist_2Ellist @ A_27b ) ) )
% 5.64/5.89 & ! [V2x: $i] :
% 5.64/5.89 ( ( mem @ V2x @ A_27a )
% 5.64/5.89 => ( ( ap @ V1g @ V2x )
% 5.64/5.89 = ( ap @ ( ap @ ( ap @ ( c_2Eoption_2Eoption__CASE @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ ( ty_2Ellist_2Ellist @ A_27b ) ) @ ( ap @ V0f @ V2x ) ) @ ( c_2Ellist_2ELNIL @ A_27b ) )
% 5.64/5.89 @ ( lam @ ( ty_2Epair_2Eprod @ A_27a @ A_27b )
% 5.64/5.89 @ ^ [V3v: $i] :
% 5.64/5.89 ( ap @ ( ap @ ( c_2Epair_2Epair__CASE @ ( ty_2Ellist_2Ellist @ A_27b ) @ A_27a @ A_27b ) @ V3v )
% 5.64/5.89 @ ( lam @ A_27a
% 5.64/5.89 @ ^ [V4a: $i] :
% 5.64/5.89 ( lam @ A_27b
% 5.64/5.89 @ ^ [V5b: $i] : ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27b ) @ V5b ) @ ( ap @ V1g @ V4a ) ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Ellist_2Ellist__Axiom__1ue,axiom,
% 5.64/5.89 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.64/5.89 ( ( mem @ V0f @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) ) )
% 5.64/5.89 => ( p
% 5.64/5.89 @ ( ap @ ( c_2Ebool_2E_3F_21 @ ( arr @ A_27a @ ( ty_2Ellist_2Ellist @ A_27b ) ) )
% 5.64/5.89 @ ( lam @ ( arr @ A_27a @ ( ty_2Ellist_2Ellist @ A_27b ) )
% 5.64/5.89 @ ^ [V1g: $i] :
% 5.64/5.89 ( ap @ ( c_2Ebool_2E_21 @ A_27a )
% 5.64/5.89 @ ( lam @ A_27a
% 5.64/5.89 @ ^ [V2x: $i] :
% 5.64/5.89 ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Ellist_2Ellist @ A_27b ) ) @ ( ap @ V1g @ V2x ) )
% 5.64/5.89 @ ( ap @ ( ap @ ( ap @ ( c_2Eoption_2Eoption__CASE @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ ( ty_2Ellist_2Ellist @ A_27b ) ) @ ( ap @ V0f @ V2x ) ) @ ( c_2Ellist_2ELNIL @ A_27b ) )
% 5.64/5.89 @ ( lam @ ( ty_2Epair_2Eprod @ A_27a @ A_27b )
% 5.64/5.89 @ ^ [V3v: $i] :
% 5.64/5.89 ( ap @ ( ap @ ( c_2Epair_2Epair__CASE @ ( ty_2Ellist_2Ellist @ A_27b ) @ A_27a @ A_27b ) @ V3v )
% 5.64/5.89 @ ( lam @ A_27a
% 5.64/5.89 @ ^ [V4a: $i] :
% 5.64/5.89 ( lam @ A_27b
% 5.64/5.89 @ ^ [V5b: $i] : ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27b ) @ V5b ) @ ( ap @ V1g @ V4a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Ellist_2Ellist__ue__Axiom,axiom,
% 5.64/5.89 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.64/5.89 ( ( mem @ V0f @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) ) )
% 5.64/5.89 => ( p
% 5.64/5.89 @ ( ap @ ( c_2Ebool_2E_3F_21 @ ( arr @ A_27a @ ( ty_2Ellist_2Ellist @ A_27b ) ) )
% 5.64/5.89 @ ( lam @ ( arr @ A_27a @ ( ty_2Ellist_2Ellist @ A_27b ) )
% 5.64/5.89 @ ^ [V1g: $i] :
% 5.64/5.89 ( ap
% 5.64/5.89 @ ( ap @ c_2Ebool_2E_2F_5C
% 5.64/5.89 @ ( ap @ ( c_2Ebool_2E_21 @ A_27a )
% 5.64/5.89 @ ( lam @ A_27a
% 5.64/5.89 @ ^ [V2x: $i] : ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Eoption_2Eoption @ A_27b ) ) @ ( ap @ ( c_2Ellist_2ELHD @ A_27b ) @ ( ap @ V1g @ V2x ) ) ) @ ( ap @ ( ap @ ( c_2Eoption_2EOPTION__MAP @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ A_27b ) @ ( c_2Epair_2ESND @ A_27a @ A_27b ) ) @ ( ap @ V0f @ V2x ) ) ) ) ) )
% 5.64/5.89 @ ( ap @ ( c_2Ebool_2E_21 @ A_27a )
% 5.64/5.89 @ ( lam @ A_27a
% 5.64/5.89 @ ^ [V3x: $i] : ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Eoption_2Eoption @ ( ty_2Ellist_2Ellist @ A_27b ) ) ) @ ( ap @ ( c_2Ellist_2ELTL @ A_27b ) @ ( ap @ V1g @ V3x ) ) ) @ ( ap @ ( ap @ ( c_2Eoption_2EOPTION__MAP @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ ( ty_2Ellist_2Ellist @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ ( ty_2Ellist_2Ellist @ A_27b ) @ A_27a ) @ V1g ) @ ( c_2Epair_2EFST @ A_27a @ A_27b ) ) ) @ ( ap @ V0f @ V3x ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Ellist_2Ellist__Axiom,axiom,
% 5.64/5.89 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.64/5.89 ( ( mem @ V0f @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) ) )
% 5.64/5.89 => ? [V1g: $i] :
% 5.64/5.89 ( ( mem @ V1g @ ( arr @ A_27a @ ( ty_2Ellist_2Ellist @ A_27b ) ) )
% 5.64/5.89 & ! [V2x: $i] :
% 5.64/5.89 ( ( mem @ V2x @ A_27a )
% 5.64/5.89 => ( ( ap @ ( c_2Ellist_2ELHD @ A_27b ) @ ( ap @ V1g @ V2x ) )
% 5.64/5.89 = ( ap @ ( ap @ ( c_2Eoption_2EOPTION__MAP @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ A_27b ) @ ( c_2Epair_2ESND @ A_27a @ A_27b ) ) @ ( ap @ V0f @ V2x ) ) ) )
% 5.64/5.89 & ! [V3x: $i] :
% 5.64/5.89 ( ( mem @ V3x @ A_27a )
% 5.64/5.89 => ( ( ap @ ( c_2Ellist_2ELTL @ A_27b ) @ ( ap @ V1g @ V3x ) )
% 5.64/5.89 = ( ap @ ( ap @ ( c_2Eoption_2EOPTION__MAP @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ ( ty_2Ellist_2Ellist @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ ( ty_2Ellist_2Ellist @ A_27b ) @ A_27a ) @ V1g ) @ ( c_2Epair_2EFST @ A_27a @ A_27b ) ) ) @ ( ap @ V0f @ V3x ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Ellist_2ELUNFOLD__BISIMULATION,axiom,
% 5.64/5.89 ! [A_27a: del,A_27b: del,A_27c: del,V0f1: $i] :
% 5.64/5.89 ( ( mem @ V0f1 @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) ) )
% 5.64/5.89 => ! [V1f2: $i] :
% 5.64/5.89 ( ( mem @ V1f2 @ ( arr @ A_27c @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27c @ A_27b ) ) ) )
% 5.64/5.89 => ! [V2x1: $i] :
% 5.64/5.89 ( ( mem @ V2x1 @ A_27a )
% 5.64/5.89 => ! [V3x2: $i] :
% 5.64/5.89 ( ( mem @ V3x2 @ A_27c )
% 5.64/5.89 => ( ( ( ap @ ( ap @ ( c_2Ellist_2ELUNFOLD @ A_27b @ A_27a ) @ V0f1 ) @ V2x1 )
% 5.64/5.89 = ( ap @ ( ap @ ( c_2Ellist_2ELUNFOLD @ A_27b @ A_27c ) @ V1f2 ) @ V3x2 ) )
% 5.64/5.89 <=> ? [V4R: $i] :
% 5.64/5.89 ( ( mem @ V4R @ ( arr @ A_27a @ ( arr @ A_27c @ bool ) ) )
% 5.64/5.89 & ( p @ ( ap @ ( ap @ V4R @ V2x1 ) @ V3x2 ) )
% 5.64/5.89 & ! [V5y1: $i] :
% 5.64/5.89 ( ( mem @ V5y1 @ A_27a )
% 5.64/5.89 => ! [V6y2: $i] :
% 5.64/5.89 ( ( mem @ V6y2 @ A_27c )
% 5.64/5.89 => ( ( p @ ( ap @ ( ap @ V4R @ V5y1 ) @ V6y2 ) )
% 5.64/5.89 => ( ( ( ( ap @ V0f1 @ V5y1 )
% 5.64/5.89 = ( c_2Eoption_2ENONE @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) )
% 5.64/5.89 & ( ( ap @ V1f2 @ V6y2 )
% 5.64/5.89 = ( c_2Eoption_2ENONE @ ( ty_2Epair_2Eprod @ A_27c @ A_27b ) ) ) )
% 5.64/5.89 | ? [V7h: $i] :
% 5.64/5.89 ( ( mem @ V7h @ A_27b )
% 5.64/5.89 & ? [V8t1: $i] :
% 5.64/5.89 ( ( mem @ V8t1 @ A_27a )
% 5.64/5.89 & ? [V9t2: $i] :
% 5.64/5.89 ( ( mem @ V9t2 @ A_27c )
% 5.64/5.89 & ( ( ap @ V0f1 @ V5y1 )
% 5.64/5.89 = ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V8t1 ) @ V7h ) ) )
% 5.64/5.89 & ( ( ap @ V1f2 @ V6y2 )
% 5.64/5.89 = ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Epair_2Eprod @ A_27c @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27c @ A_27b ) @ V9t2 ) @ V7h ) ) )
% 5.64/5.89 & ( p @ ( ap @ ( ap @ V4R @ V8t1 ) @ V9t2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Ellist_2ELLIST__BISIMULATION0,axiom,
% 5.64/5.89 ! [A_27a: del,V0ll1: $i] :
% 5.64/5.89 ( ( mem @ V0ll1 @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.64/5.89 => ! [V1ll2: $i] :
% 5.64/5.89 ( ( mem @ V1ll2 @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.64/5.89 => ( ( V0ll1 = V1ll2 )
% 5.64/5.89 <=> ? [V2R: $i] :
% 5.64/5.89 ( ( mem @ V2R @ ( arr @ ( ty_2Ellist_2Ellist @ A_27a ) @ ( arr @ ( ty_2Ellist_2Ellist @ A_27a ) @ bool ) ) )
% 5.64/5.89 & ( p @ ( ap @ ( ap @ V2R @ V0ll1 ) @ V1ll2 ) )
% 5.64/5.89 & ! [V3ll3: $i] :
% 5.64/5.89 ( ( mem @ V3ll3 @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.64/5.89 => ! [V4ll4: $i] :
% 5.64/5.89 ( ( mem @ V4ll4 @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.64/5.89 => ( ( p @ ( ap @ ( ap @ V2R @ V3ll3 ) @ V4ll4 ) )
% 5.64/5.89 => ( ( ( V3ll3
% 5.64/5.89 = ( c_2Ellist_2ELNIL @ A_27a ) )
% 5.64/5.89 & ( V4ll4
% 5.64/5.89 = ( c_2Ellist_2ELNIL @ A_27a ) ) )
% 5.64/5.89 | ? [V5h: $i] :
% 5.64/5.89 ( ( mem @ V5h @ A_27a )
% 5.64/5.89 & ? [V6t1: $i] :
% 5.64/5.89 ( ( mem @ V6t1 @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.64/5.89 & ? [V7t2: $i] :
% 5.64/5.89 ( ( mem @ V7t2 @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.64/5.89 & ( V3ll3
% 5.64/5.89 = ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27a ) @ V5h ) @ V6t1 ) )
% 5.64/5.89 & ( V4ll4
% 5.64/5.89 = ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27a ) @ V5h ) @ V7t2 ) )
% 5.64/5.89 & ( p @ ( ap @ ( ap @ V2R @ V6t1 ) @ V7t2 ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Ellist_2ELLIST__BISIMULATION,axiom,
% 5.64/5.89 ! [A_27a: del,V0ll1: $i] :
% 5.64/5.89 ( ( mem @ V0ll1 @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.64/5.89 => ! [V1ll2: $i] :
% 5.64/5.89 ( ( mem @ V1ll2 @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.64/5.89 => ( ( V0ll1 = V1ll2 )
% 5.64/5.89 <=> ? [V2R: $i] :
% 5.64/5.89 ( ( mem @ V2R @ ( arr @ ( ty_2Ellist_2Ellist @ A_27a ) @ ( arr @ ( ty_2Ellist_2Ellist @ A_27a ) @ bool ) ) )
% 5.64/5.89 & ( p @ ( ap @ ( ap @ V2R @ V0ll1 ) @ V1ll2 ) )
% 5.64/5.89 & ! [V3ll3: $i] :
% 5.64/5.89 ( ( mem @ V3ll3 @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.64/5.89 => ! [V4ll4: $i] :
% 5.64/5.89 ( ( mem @ V4ll4 @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.64/5.89 => ( ( p @ ( ap @ ( ap @ V2R @ V3ll3 ) @ V4ll4 ) )
% 5.64/5.89 => ( ( ( V3ll3
% 5.64/5.89 = ( c_2Ellist_2ELNIL @ A_27a ) )
% 5.64/5.89 & ( V4ll4
% 5.64/5.89 = ( c_2Ellist_2ELNIL @ A_27a ) ) )
% 5.64/5.89 | ( ( ( ap @ ( c_2Ellist_2ELHD @ A_27a ) @ V3ll3 )
% 5.64/5.89 = ( ap @ ( c_2Ellist_2ELHD @ A_27a ) @ V4ll4 ) )
% 5.64/5.89 & ( p @ ( ap @ ( ap @ V2R @ ( ap @ ( c_2Eoption_2ETHE @ ( ty_2Ellist_2Ellist @ A_27a ) ) @ ( ap @ ( c_2Ellist_2ELTL @ A_27a ) @ V3ll3 ) ) ) @ ( ap @ ( c_2Eoption_2ETHE @ ( ty_2Ellist_2Ellist @ A_27a ) ) @ ( ap @ ( c_2Ellist_2ELTL @ A_27a ) @ V4ll4 ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Ellist_2ELLIST__STRONG__BISIMULATION,axiom,
% 5.64/5.89 ! [A_27a: del,V0ll1: $i] :
% 5.64/5.89 ( ( mem @ V0ll1 @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.64/5.89 => ! [V1ll2: $i] :
% 5.64/5.89 ( ( mem @ V1ll2 @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.64/5.89 => ( ( V0ll1 = V1ll2 )
% 5.64/5.89 <=> ? [V2R: $i] :
% 5.64/5.89 ( ( mem @ V2R @ ( arr @ ( ty_2Ellist_2Ellist @ A_27a ) @ ( arr @ ( ty_2Ellist_2Ellist @ A_27a ) @ bool ) ) )
% 5.64/5.89 & ( p @ ( ap @ ( ap @ V2R @ V0ll1 ) @ V1ll2 ) )
% 5.64/5.89 & ! [V3ll3: $i] :
% 5.64/5.89 ( ( mem @ V3ll3 @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.64/5.89 => ! [V4ll4: $i] :
% 5.64/5.89 ( ( mem @ V4ll4 @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.64/5.89 => ( ( p @ ( ap @ ( ap @ V2R @ V3ll3 ) @ V4ll4 ) )
% 5.64/5.89 => ( ( V3ll3 = V4ll4 )
% 5.64/5.89 | ? [V5h: $i] :
% 5.64/5.89 ( ( mem @ V5h @ A_27a )
% 5.64/5.89 & ? [V6t1: $i] :
% 5.64/5.89 ( ( mem @ V6t1 @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.64/5.89 & ? [V7t2: $i] :
% 5.64/5.89 ( ( mem @ V7t2 @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.64/5.89 & ( V3ll3
% 5.64/5.89 = ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27a ) @ V5h ) @ V6t1 ) )
% 5.64/5.89 & ( V4ll4
% 5.64/5.89 = ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27a ) @ V5h ) @ V7t2 ) )
% 5.64/5.89 & ( p @ ( ap @ ( ap @ V2R @ V6t1 ) @ V7t2 ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(ax_thm_2Ellist_2ELTAKE,axiom,
% 5.64/5.89 ! [A_27a: del] :
% 5.64/5.89 ( ! [V0ll: $i] :
% 5.64/5.89 ( ( mem @ V0ll @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.64/5.89 => ( ( ap @ ( ap @ ( c_2Ellist_2ELTAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ V0ll )
% 5.64/5.89 = ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) )
% 5.64/5.89 & ! [V1n: tp__ty_2Enum_2Enum,V2ll: $i] :
% 5.64/5.89 ( ( mem @ V2ll @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.64/5.89 => ( ( ap @ ( ap @ ( c_2Ellist_2ELTAKE @ A_27a ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ V2ll )
% 5.64/5.89 = ( ap @ ( ap @ ( ap @ ( c_2Eoption_2Eoption__CASE @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Elist_2Elist @ A_27a ) ) ) @ ( ap @ ( c_2Ellist_2ELHD @ A_27a ) @ V2ll ) ) @ ( c_2Eoption_2ENONE @ ( ty_2Elist_2Elist @ A_27a ) ) )
% 5.64/5.89 @ ( lam @ A_27a
% 5.64/5.89 @ ^ [V3hd: $i] :
% 5.64/5.89 ( ap @ ( ap @ ( ap @ ( c_2Eoption_2Eoption__CASE @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Eoption_2Eoption @ ( ty_2Elist_2Elist @ A_27a ) ) ) @ ( ap @ ( ap @ ( c_2Ellist_2ELTAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ ( c_2Eoption_2ETHE @ ( ty_2Ellist_2Ellist @ A_27a ) ) @ ( ap @ ( c_2Ellist_2ELTL @ A_27a ) @ V2ll ) ) ) ) @ ( c_2Eoption_2ENONE @ ( ty_2Elist_2Elist @ A_27a ) ) )
% 5.64/5.89 @ ( lam @ ( ty_2Elist_2Elist @ A_27a )
% 5.64/5.89 @ ^ [V4tl: $i] : ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3hd ) @ V4tl ) ) ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Ellist_2ELTAKE__LUNFOLD,axiom,
% 5.64/5.89 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.64/5.89 ( ( mem @ V0f @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) )
% 5.64/5.89 => ! [V1x: $i] :
% 5.64/5.89 ( ( mem @ V1x @ A_27b )
% 5.64/5.89 => ! [V2n: tp__ty_2Enum_2Enum] :
% 5.64/5.89 ( ( ( ap @ ( ap @ ( c_2Ellist_2ELTAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ ( ap @ ( c_2Ellist_2ELUNFOLD @ A_27a @ A_27b ) @ V0f ) @ V1x ) )
% 5.64/5.89 = ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.64/5.89 & ( ( ap @ ( ap @ ( c_2Ellist_2ELTAKE @ A_27a ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) @ ( ap @ ( ap @ ( c_2Ellist_2ELUNFOLD @ A_27a @ A_27b ) @ V0f ) @ V1x ) )
% 5.64/5.89 = ( ap @ ( ap @ ( ap @ ( c_2Eoption_2Eoption__CASE @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) @ ( ty_2Eoption_2Eoption @ ( ty_2Elist_2Elist @ A_27a ) ) ) @ ( ap @ V0f @ V1x ) ) @ ( c_2Eoption_2ENONE @ ( ty_2Elist_2Elist @ A_27a ) ) )
% 5.64/5.89 @ ( lam @ ( ty_2Epair_2Eprod @ A_27b @ A_27a )
% 5.64/5.89 @ ^ [V3v: $i] :
% 5.64/5.89 ( ap @ ( ap @ ( c_2Epair_2Epair__CASE @ ( ty_2Eoption_2Eoption @ ( ty_2Elist_2Elist @ A_27a ) ) @ A_27b @ A_27a ) @ V3v )
% 5.64/5.89 @ ( lam @ A_27b
% 5.64/5.89 @ ^ [V4tx: $i] :
% 5.64/5.89 ( lam @ A_27a
% 5.64/5.89 @ ^ [V5hx: $i] : ( ap @ ( ap @ ( c_2Eoption_2EOPTION__MAP @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V5hx ) ) @ ( ap @ ( ap @ ( c_2Ellist_2ELTAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( ap @ ( ap @ ( c_2Ellist_2ELUNFOLD @ A_27a @ A_27b ) @ V0f ) @ V4tx ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Ellist_2ELTAKE__THM,axiom,
% 5.64/5.89 ! [A_27a: del,A_27b: del,A_27c: del] :
% 5.64/5.89 ( ! [V0l: $i] :
% 5.64/5.89 ( ( mem @ V0l @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.64/5.89 => ( ( ap @ ( ap @ ( c_2Ellist_2ELTAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ V0l )
% 5.64/5.89 = ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) )
% 5.64/5.89 & ! [V1n: tp__ty_2Enum_2Enum] :
% 5.64/5.89 ( ( ap @ ( ap @ ( c_2Ellist_2ELTAKE @ A_27b ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ ( c_2Ellist_2ELNIL @ A_27b ) )
% 5.64/5.89 = ( c_2Eoption_2ENONE @ ( ty_2Elist_2Elist @ A_27b ) ) )
% 5.64/5.89 & ! [V2n: tp__ty_2Enum_2Enum,V3h: $i] :
% 5.64/5.89 ( ( mem @ V3h @ A_27c )
% 5.64/5.89 => ! [V4t: $i] :
% 5.64/5.89 ( ( mem @ V4t @ ( ty_2Ellist_2Ellist @ A_27c ) )
% 5.64/5.89 => ( ( ap @ ( ap @ ( c_2Ellist_2ELTAKE @ A_27c ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) @ ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27c ) @ V3h ) @ V4t ) )
% 5.64/5.89 = ( ap @ ( ap @ ( c_2Eoption_2EOPTION__MAP @ ( ty_2Elist_2Elist @ A_27c ) @ ( ty_2Elist_2Elist @ A_27c ) ) @ ( ap @ ( c_2Elist_2ECONS @ A_27c ) @ V3h ) ) @ ( ap @ ( ap @ ( c_2Ellist_2ELTAKE @ A_27c ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ V4t ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Ellist_2ELTAKE__SNOC__LNTH,axiom,
% 5.64/5.89 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1ll: $i] :
% 5.64/5.89 ( ( mem @ V1ll @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.64/5.89 => ( ( ap @ ( ap @ ( c_2Ellist_2ELTAKE @ A_27a ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ V1ll )
% 5.64/5.89 = ( ap @ ( ap @ ( ap @ ( c_2Eoption_2Eoption__CASE @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Eoption_2Eoption @ ( ty_2Elist_2Elist @ A_27a ) ) ) @ ( ap @ ( ap @ ( c_2Ellist_2ELTAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1ll ) ) @ ( c_2Eoption_2ENONE @ ( ty_2Elist_2Elist @ A_27a ) ) )
% 5.64/5.89 @ ( lam @ ( ty_2Elist_2Elist @ A_27a )
% 5.64/5.89 @ ^ [V2l: $i] :
% 5.64/5.89 ( ap @ ( ap @ ( ap @ ( c_2Eoption_2Eoption__CASE @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Elist_2Elist @ A_27a ) ) ) @ ( ap @ ( ap @ ( c_2Ellist_2ELNTH @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1ll ) ) @ ( c_2Eoption_2ENONE @ ( ty_2Elist_2Elist @ A_27a ) ) )
% 5.64/5.89 @ ( lam @ A_27a
% 5.64/5.89 @ ^ [V3e: $i] : ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V2l ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3e ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Ellist_2ELTAKE__EQ__NONE__LNTH,axiom,
% 5.64/5.89 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1ll: $i] :
% 5.64/5.89 ( ( mem @ V1ll @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.64/5.89 => ( ( ( ap @ ( ap @ ( c_2Ellist_2ELTAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1ll )
% 5.64/5.89 = ( c_2Eoption_2ENONE @ ( ty_2Elist_2Elist @ A_27a ) ) )
% 5.64/5.89 => ( ( ap @ ( ap @ ( c_2Ellist_2ELNTH @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1ll )
% 5.64/5.89 = ( c_2Eoption_2ENONE @ A_27a ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Ellist_2ELTAKE__NIL__EQ__SOME,axiom,
% 5.64/5.89 ! [A_27a: del,V0l: $i] :
% 5.64/5.89 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ! [V1m: tp__ty_2Enum_2Enum] :
% 5.64/5.89 ( ( ( ap @ ( ap @ ( c_2Ellist_2ELTAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( c_2Ellist_2ELNIL @ A_27a ) )
% 5.64/5.89 = ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Elist_2Elist @ A_27a ) ) @ V0l ) )
% 5.64/5.89 <=> ( ( V1m = fo__c_2Enum_2E0 )
% 5.64/5.89 & ( V0l
% 5.64/5.89 = ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Ellist_2ELTAKE__NIL__EQ__NONE,axiom,
% 5.64/5.89 ! [A_27a: del,V0m: tp__ty_2Enum_2Enum] :
% 5.64/5.89 ( ( ( ap @ ( ap @ ( c_2Ellist_2ELTAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( c_2Ellist_2ELNIL @ A_27a ) )
% 5.64/5.89 = ( c_2Eoption_2ENONE @ ( ty_2Elist_2Elist @ A_27a ) ) )
% 5.64/5.89 <=> ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Ellist_2ELTAKE__EQ,axiom,
% 5.64/5.89 ! [A_27a: del,V0ll1: $i] :
% 5.64/5.89 ( ( mem @ V0ll1 @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.64/5.89 => ! [V1ll2: $i] :
% 5.64/5.89 ( ( mem @ V1ll2 @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.64/5.89 => ( ( V0ll1 = V1ll2 )
% 5.64/5.89 <=> ! [V2n: tp__ty_2Enum_2Enum] :
% 5.64/5.89 ( ( ap @ ( ap @ ( c_2Ellist_2ELTAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ V0ll1 )
% 5.64/5.89 = ( ap @ ( ap @ ( c_2Ellist_2ELTAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ V1ll2 ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Ellist_2ELTAKE__CONS__EQ__NONE,axiom,
% 5.64/5.89 ! [A_27a: del,V0m: tp__ty_2Enum_2Enum,V1h: $i] :
% 5.64/5.89 ( ( mem @ V1h @ A_27a )
% 5.64/5.89 => ! [V2t: $i] :
% 5.64/5.89 ( ( mem @ V2t @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.64/5.89 => ( ( ( ap @ ( ap @ ( c_2Ellist_2ELTAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27a ) @ V1h ) @ V2t ) )
% 5.64/5.89 = ( c_2Eoption_2ENONE @ ( ty_2Elist_2Elist @ A_27a ) ) )
% 5.64/5.89 <=> ? [V3n: tp__ty_2Enum_2Enum] :
% 5.64/5.89 ( ( V0m
% 5.64/5.89 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) )
% 5.64/5.89 & ( ( ap @ ( ap @ ( c_2Ellist_2ELTAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V3n ) ) @ V2t )
% 5.64/5.89 = ( c_2Eoption_2ENONE @ ( ty_2Elist_2Elist @ A_27a ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Ellist_2ELTAKE__CONS__EQ__SOME,axiom,
% 5.64/5.89 ! [A_27a: del,V0m: tp__ty_2Enum_2Enum,V1h: $i] :
% 5.64/5.89 ( ( mem @ V1h @ A_27a )
% 5.64/5.89 => ! [V2t: $i] :
% 5.64/5.89 ( ( mem @ V2t @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.64/5.89 => ! [V3l: $i] :
% 5.64/5.89 ( ( mem @ V3l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( ( ap @ ( ap @ ( c_2Ellist_2ELTAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27a ) @ V1h ) @ V2t ) )
% 5.64/5.89 = ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Elist_2Elist @ A_27a ) ) @ V3l ) )
% 5.64/5.89 <=> ( ( ( V0m = fo__c_2Enum_2E0 )
% 5.64/5.89 & ( V3l
% 5.64/5.89 = ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.64/5.89 | ? [V4n: tp__ty_2Enum_2Enum,V5l_27: $i] :
% 5.64/5.89 ( ( mem @ V5l_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 & ( V0m
% 5.64/5.89 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V4n ) ) ) )
% 5.64/5.89 & ( ( ap @ ( ap @ ( c_2Ellist_2ELTAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V4n ) ) @ V2t )
% 5.64/5.89 = ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Elist_2Elist @ A_27a ) ) @ V5l_27 ) )
% 5.64/5.89 & ( V3l
% 5.64/5.89 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1h ) @ V5l_27 ) ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Ellist_2ELTAKE__EQ__SOME__CONS,axiom,
% 5.64/5.89 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1l: $i] :
% 5.64/5.89 ( ( mem @ V1l @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.64/5.89 => ! [V2x: $i] :
% 5.64/5.89 ( ( mem @ V2x @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 => ( ( ( ap @ ( ap @ ( c_2Ellist_2ELTAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1l )
% 5.64/5.89 = ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Elist_2Elist @ A_27a ) ) @ V2x ) )
% 5.64/5.89 => ! [V3h: $i] :
% 5.64/5.89 ( ( mem @ V3h @ A_27a )
% 5.64/5.89 => ? [V4y: $i] :
% 5.64/5.89 ( ( mem @ V4y @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.64/5.89 & ( ( ap @ ( ap @ ( c_2Ellist_2ELTAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27a ) @ V3h ) @ V1l ) )
% 5.64/5.89 = ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Elist_2Elist @ A_27a ) ) @ V4y ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(ax_thm_2Ellist_2ELMAP,axiom,
% 5.64/5.89 ! [A_27a: del,A_27b: del] :
% 5.64/5.89 ( ! [V0f: $i] :
% 5.64/5.89 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.64/5.89 => ( ( ap @ ( ap @ ( c_2Ellist_2ELMAP @ A_27a @ A_27b ) @ V0f ) @ ( c_2Ellist_2ELNIL @ A_27a ) )
% 5.64/5.89 = ( c_2Ellist_2ELNIL @ A_27b ) ) )
% 5.64/5.89 & ! [V1f: $i] :
% 5.64/5.89 ( ( mem @ V1f @ ( arr @ A_27a @ A_27b ) )
% 5.64/5.89 => ! [V2h: $i] :
% 5.64/5.89 ( ( mem @ V2h @ A_27a )
% 5.64/5.89 => ! [V3t: $i] :
% 5.64/5.89 ( ( mem @ V3t @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.64/5.89 => ( ( ap @ ( ap @ ( c_2Ellist_2ELMAP @ A_27a @ A_27b ) @ V1f ) @ ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27a ) @ V2h ) @ V3t ) )
% 5.64/5.89 = ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27b ) @ ( ap @ V1f @ V2h ) ) @ ( ap @ ( ap @ ( c_2Ellist_2ELMAP @ A_27a @ A_27b ) @ V1f ) @ V3t ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(ax_thm_2Ellist_2ELAPPEND,axiom,
% 5.64/5.89 ! [A_27a: del] :
% 5.64/5.89 ( ! [V0x: $i] :
% 5.64/5.89 ( ( mem @ V0x @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.64/5.89 => ( ( ap @ ( ap @ ( c_2Ellist_2ELAPPEND @ A_27a ) @ ( c_2Ellist_2ELNIL @ A_27a ) ) @ V0x )
% 5.64/5.89 = V0x ) )
% 5.64/5.89 & ! [V1h: $i] :
% 5.64/5.89 ( ( mem @ V1h @ A_27a )
% 5.64/5.89 => ! [V2t: $i] :
% 5.64/5.89 ( ( mem @ V2t @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.64/5.89 => ! [V3x: $i] :
% 5.64/5.89 ( ( mem @ V3x @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.64/5.89 => ( ( ap @ ( ap @ ( c_2Ellist_2ELAPPEND @ A_27a ) @ ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27a ) @ V1h ) @ V2t ) ) @ V3x )
% 5.64/5.89 = ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27a ) @ V1h ) @ ( ap @ ( ap @ ( c_2Ellist_2ELAPPEND @ A_27a ) @ V2t ) @ V3x ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Ellist_2ELMAP__APPEND,axiom,
% 5.64/5.89 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.64/5.89 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.64/5.89 => ! [V1ll1: $i] :
% 5.64/5.89 ( ( mem @ V1ll1 @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.64/5.89 => ! [V2ll2: $i] :
% 5.64/5.89 ( ( mem @ V2ll2 @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.64/5.89 => ( ( ap @ ( ap @ ( c_2Ellist_2ELMAP @ A_27a @ A_27b ) @ V0f ) @ ( ap @ ( ap @ ( c_2Ellist_2ELAPPEND @ A_27a ) @ V1ll1 ) @ V2ll2 ) )
% 5.64/5.89 = ( ap @ ( ap @ ( c_2Ellist_2ELAPPEND @ A_27b ) @ ( ap @ ( ap @ ( c_2Ellist_2ELMAP @ A_27a @ A_27b ) @ V0f ) @ V1ll1 ) ) @ ( ap @ ( ap @ ( c_2Ellist_2ELMAP @ A_27a @ A_27b ) @ V0f ) @ V2ll2 ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Ellist_2ELAPPEND__EQ__LNIL,axiom,
% 5.64/5.89 ! [A_27a: del,V0l1: $i] :
% 5.64/5.89 ( ( mem @ V0l1 @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.64/5.89 => ! [V1l2: $i] :
% 5.64/5.89 ( ( mem @ V1l2 @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.64/5.89 => ( ( ( ap @ ( ap @ ( c_2Ellist_2ELAPPEND @ A_27a ) @ V0l1 ) @ V1l2 )
% 5.64/5.89 = ( c_2Ellist_2ELNIL @ A_27a ) )
% 5.64/5.89 <=> ( ( V0l1
% 5.64/5.89 = ( c_2Ellist_2ELNIL @ A_27a ) )
% 5.64/5.89 & ( V1l2
% 5.64/5.89 = ( c_2Ellist_2ELNIL @ A_27a ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Ellist_2ELAPPEND__ASSOC,axiom,
% 5.64/5.89 ! [A_27a: del,V0ll1: $i] :
% 5.64/5.89 ( ( mem @ V0ll1 @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.64/5.89 => ! [V1ll2: $i] :
% 5.64/5.89 ( ( mem @ V1ll2 @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.64/5.89 => ! [V2ll3: $i] :
% 5.64/5.89 ( ( mem @ V2ll3 @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.64/5.89 => ( ( ap @ ( ap @ ( c_2Ellist_2ELAPPEND @ A_27a ) @ ( ap @ ( ap @ ( c_2Ellist_2ELAPPEND @ A_27a ) @ V0ll1 ) @ V1ll2 ) ) @ V2ll3 )
% 5.64/5.89 = ( ap @ ( ap @ ( c_2Ellist_2ELAPPEND @ A_27a ) @ V0ll1 ) @ ( ap @ ( ap @ ( c_2Ellist_2ELAPPEND @ A_27a ) @ V1ll2 ) @ V2ll3 ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Ellist_2ELMAP__MAP,axiom,
% 5.64/5.89 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.64/5.89 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.64/5.89 => ! [V1g: $i] :
% 5.64/5.89 ( ( mem @ V1g @ ( arr @ A_27c @ A_27a ) )
% 5.64/5.89 => ! [V2ll: $i] :
% 5.64/5.89 ( ( mem @ V2ll @ ( ty_2Ellist_2Ellist @ A_27c ) )
% 5.64/5.89 => ( ( ap @ ( ap @ ( c_2Ellist_2ELMAP @ A_27a @ A_27b ) @ V0f ) @ ( ap @ ( ap @ ( c_2Ellist_2ELMAP @ A_27c @ A_27a ) @ V1g ) @ V2ll ) )
% 5.64/5.89 = ( ap @ ( ap @ ( c_2Ellist_2ELMAP @ A_27c @ A_27b ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27c @ A_27b @ A_27a ) @ V0f ) @ V1g ) ) @ V2ll ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Ellist_2ELAPPEND__NIL__2ND,axiom,
% 5.64/5.89 ! [A_27a: del,V0ll: $i] :
% 5.64/5.89 ( ( mem @ V0ll @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.64/5.89 => ( ( ap @ ( ap @ ( c_2Ellist_2ELAPPEND @ A_27a ) @ V0ll ) @ ( c_2Ellist_2ELNIL @ A_27a ) )
% 5.64/5.89 = V0ll ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Ellist_2ELHD__LAPPEND,axiom,
% 5.64/5.89 ! [A_27a: del,V0l1: $i] :
% 5.64/5.89 ( ( mem @ V0l1 @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.64/5.89 => ! [V1l2: $i] :
% 5.64/5.89 ( ( mem @ V1l2 @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.64/5.89 => ( ( ap @ ( c_2Ellist_2ELHD @ A_27a ) @ ( ap @ ( ap @ ( c_2Ellist_2ELAPPEND @ A_27a ) @ V0l1 ) @ V1l2 ) )
% 5.64/5.89 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Ellist_2Ellist @ A_27a ) ) @ V0l1 ) @ ( c_2Ellist_2ELNIL @ A_27a ) ) ) @ ( ap @ ( c_2Ellist_2ELHD @ A_27a ) @ V1l2 ) ) @ ( ap @ ( c_2Ellist_2ELHD @ A_27a ) @ V0l1 ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Ellist_2ELTL__LAPPEND,axiom,
% 5.64/5.89 ! [A_27a: del,V0l1: $i] :
% 5.64/5.89 ( ( mem @ V0l1 @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.64/5.89 => ! [V1l2: $i] :
% 5.64/5.89 ( ( mem @ V1l2 @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.64/5.89 => ( ( ap @ ( c_2Ellist_2ELTL @ A_27a ) @ ( ap @ ( ap @ ( c_2Ellist_2ELAPPEND @ A_27a ) @ V0l1 ) @ V1l2 ) )
% 5.64/5.89 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Eoption_2Eoption @ ( ty_2Ellist_2Ellist @ A_27a ) ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Ellist_2Ellist @ A_27a ) ) @ V0l1 ) @ ( c_2Ellist_2ELNIL @ A_27a ) ) ) @ ( ap @ ( c_2Ellist_2ELTL @ A_27a ) @ V1l2 ) ) @ ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Ellist_2Ellist @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Ellist_2ELAPPEND @ A_27a ) @ ( ap @ ( c_2Eoption_2ETHE @ ( ty_2Ellist_2Ellist @ A_27a ) ) @ ( ap @ ( c_2Ellist_2ELTL @ A_27a ) @ V0l1 ) ) ) @ V1l2 ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Ellist_2ELTAKE__LAPPEND1,axiom,
% 5.64/5.89 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1l1: $i] :
% 5.64/5.89 ( ( mem @ V1l1 @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.64/5.89 => ! [V2l2: $i] :
% 5.64/5.89 ( ( mem @ V2l2 @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.64/5.89 => ( ( p @ ( ap @ ( c_2Eoption_2EIS__SOME @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Ellist_2ELTAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1l1 ) ) )
% 5.64/5.89 => ( ( ap @ ( ap @ ( c_2Ellist_2ELTAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( ap @ ( c_2Ellist_2ELAPPEND @ A_27a ) @ V1l1 ) @ V2l2 ) )
% 5.64/5.89 = ( ap @ ( ap @ ( c_2Ellist_2ELTAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1l1 ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(ax_thm_2Ellist_2ELFINITE__def,axiom,
% 5.64/5.89 ! [A_27a: del] :
% 5.64/5.89 ( ( c_2Ellist_2ELFINITE @ A_27a )
% 5.64/5.89 = ( lam @ ( ty_2Ellist_2Ellist @ A_27a )
% 5.64/5.89 @ ^ [V0a0: $i] :
% 5.64/5.89 ( ap @ ( c_2Ebool_2E_21 @ ( arr @ ( ty_2Ellist_2Ellist @ A_27a ) @ bool ) )
% 5.64/5.89 @ ( lam @ ( arr @ ( ty_2Ellist_2Ellist @ A_27a ) @ bool )
% 5.64/5.89 @ ^ [V1LFINITE_27: $i] :
% 5.64/5.89 ( ap
% 5.64/5.89 @ ( ap @ c_2Emin_2E_3D_3D_3E
% 5.64/5.89 @ ( ap @ ( c_2Ebool_2E_21 @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.64/5.89 @ ( lam @ ( ty_2Ellist_2Ellist @ A_27a )
% 5.64/5.89 @ ^ [V2a0: $i] :
% 5.64/5.89 ( ap
% 5.64/5.89 @ ( ap @ c_2Emin_2E_3D_3D_3E
% 5.64/5.89 @ ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Ellist_2Ellist @ A_27a ) ) @ V2a0 ) @ ( c_2Ellist_2ELNIL @ A_27a ) ) )
% 5.64/5.89 @ ( ap @ ( c_2Ebool_2E_3F @ A_27a )
% 5.64/5.89 @ ( lam @ A_27a
% 5.64/5.89 @ ^ [V3h: $i] :
% 5.64/5.89 ( ap @ ( c_2Ebool_2E_3F @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.64/5.89 @ ( lam @ ( ty_2Ellist_2Ellist @ A_27a )
% 5.64/5.89 @ ^ [V4t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Ellist_2Ellist @ A_27a ) ) @ V2a0 ) @ ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27a ) @ V3h ) @ V4t ) ) ) @ ( ap @ V1LFINITE_27 @ V4t ) ) ) ) ) ) ) )
% 5.64/5.89 @ ( ap @ V1LFINITE_27 @ V2a0 ) ) ) ) )
% 5.64/5.89 @ ( ap @ V1LFINITE_27 @ V0a0 ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Ellist_2ELFINITE__rules,axiom,
% 5.64/5.89 ! [A_27a: del] :
% 5.64/5.89 ( ( p @ ( ap @ ( c_2Ellist_2ELFINITE @ A_27a ) @ ( c_2Ellist_2ELNIL @ A_27a ) ) )
% 5.64/5.89 & ! [V0h: $i] :
% 5.64/5.89 ( ( mem @ V0h @ A_27a )
% 5.64/5.89 => ! [V1t: $i] :
% 5.64/5.89 ( ( mem @ V1t @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.64/5.89 => ( ( p @ ( ap @ ( c_2Ellist_2ELFINITE @ A_27a ) @ V1t ) )
% 5.64/5.89 => ( p @ ( ap @ ( c_2Ellist_2ELFINITE @ A_27a ) @ ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27a ) @ V0h ) @ V1t ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Ellist_2ELFINITE__ind,axiom,
% 5.64/5.89 ! [A_27a: del,V0LFINITE_27: $i] :
% 5.64/5.89 ( ( mem @ V0LFINITE_27 @ ( arr @ ( ty_2Ellist_2Ellist @ A_27a ) @ bool ) )
% 5.64/5.89 => ( ( ( p @ ( ap @ V0LFINITE_27 @ ( c_2Ellist_2ELNIL @ A_27a ) ) )
% 5.64/5.89 & ! [V1h: $i] :
% 5.64/5.89 ( ( mem @ V1h @ A_27a )
% 5.64/5.89 => ! [V2t: $i] :
% 5.64/5.89 ( ( mem @ V2t @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.64/5.89 => ( ( p @ ( ap @ V0LFINITE_27 @ V2t ) )
% 5.64/5.89 => ( p @ ( ap @ V0LFINITE_27 @ ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27a ) @ V1h ) @ V2t ) ) ) ) ) ) )
% 5.64/5.89 => ! [V3a0: $i] :
% 5.64/5.89 ( ( mem @ V3a0 @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.64/5.89 => ( ( p @ ( ap @ ( c_2Ellist_2ELFINITE @ A_27a ) @ V3a0 ) )
% 5.64/5.89 => ( p @ ( ap @ V0LFINITE_27 @ V3a0 ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Ellist_2ELFINITE__strongind,axiom,
% 5.64/5.89 ! [A_27a: del,V0LFINITE_27: $i] :
% 5.64/5.89 ( ( mem @ V0LFINITE_27 @ ( arr @ ( ty_2Ellist_2Ellist @ A_27a ) @ bool ) )
% 5.64/5.89 => ( ( ( p @ ( ap @ V0LFINITE_27 @ ( c_2Ellist_2ELNIL @ A_27a ) ) )
% 5.64/5.89 & ! [V1h: $i] :
% 5.64/5.89 ( ( mem @ V1h @ A_27a )
% 5.64/5.89 => ! [V2t: $i] :
% 5.64/5.89 ( ( mem @ V2t @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.64/5.89 => ( ( ( p @ ( ap @ ( c_2Ellist_2ELFINITE @ A_27a ) @ V2t ) )
% 5.64/5.89 & ( p @ ( ap @ V0LFINITE_27 @ V2t ) ) )
% 5.64/5.89 => ( p @ ( ap @ V0LFINITE_27 @ ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27a ) @ V1h ) @ V2t ) ) ) ) ) ) )
% 5.64/5.89 => ! [V3a0: $i] :
% 5.64/5.89 ( ( mem @ V3a0 @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.64/5.89 => ( ( p @ ( ap @ ( c_2Ellist_2ELFINITE @ A_27a ) @ V3a0 ) )
% 5.64/5.89 => ( p @ ( ap @ V0LFINITE_27 @ V3a0 ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Ellist_2ELFINITE__cases,axiom,
% 5.64/5.89 ! [A_27a: del,V0a0: $i] :
% 5.64/5.89 ( ( mem @ V0a0 @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.64/5.89 => ( ( p @ ( ap @ ( c_2Ellist_2ELFINITE @ A_27a ) @ V0a0 ) )
% 5.64/5.89 <=> ( ( V0a0
% 5.64/5.89 = ( c_2Ellist_2ELNIL @ A_27a ) )
% 5.64/5.89 | ? [V1h: $i] :
% 5.64/5.89 ( ( mem @ V1h @ A_27a )
% 5.64/5.89 & ? [V2t: $i] :
% 5.64/5.89 ( ( mem @ V2t @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.64/5.89 & ( V0a0
% 5.64/5.89 = ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27a ) @ V1h ) @ V2t ) )
% 5.64/5.89 & ( p @ ( ap @ ( c_2Ellist_2ELFINITE @ A_27a ) @ V2t ) ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Ellist_2ELFINITE__THM,axiom,
% 5.64/5.89 ! [A_27a: del,A_27b: del] :
% 5.64/5.89 ( ( ( p @ ( ap @ ( c_2Ellist_2ELFINITE @ A_27a ) @ ( c_2Ellist_2ELNIL @ A_27a ) ) )
% 5.64/5.89 <=> $true )
% 5.64/5.89 & ! [V0h: $i] :
% 5.64/5.89 ( ( mem @ V0h @ A_27b )
% 5.64/5.89 => ! [V1t: $i] :
% 5.64/5.89 ( ( mem @ V1t @ ( ty_2Ellist_2Ellist @ A_27b ) )
% 5.64/5.89 => ( ( p @ ( ap @ ( c_2Ellist_2ELFINITE @ A_27b ) @ ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27b ) @ V0h ) @ V1t ) ) )
% 5.64/5.89 <=> ( p @ ( ap @ ( c_2Ellist_2ELFINITE @ A_27b ) @ V1t ) ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(conj_thm_2Ellist_2ELFINITE,axiom,
% 5.64/5.89 ! [A_27a: del,V0ll: $i] :
% 5.64/5.89 ( ( mem @ V0ll @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.64/5.89 => ( ( p @ ( ap @ ( c_2Ellist_2ELFINITE @ A_27a ) @ V0ll ) )
% 5.64/5.89 <=> ? [V1n: tp__ty_2Enum_2Enum] :
% 5.64/5.89 ( ( ap @ ( ap @ ( c_2Ellist_2ELTAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ V0ll )
% 5.64/5.89 = ( c_2Eoption_2ENONE @ ( ty_2Elist_2Elist @ A_27a ) ) ) ) ) ).
% 5.64/5.89
% 5.64/5.89 thf(ax_thm_2Ellist_2Ellength__rel__def,axiom,
% 5.64/5.89 ! [A_27a: del] :
% 5.64/5.89 ( ( c_2Ellist_2Ellength__rel @ A_27a )
% 5.64/5.89 = ( lam @ ( ty_2Ellist_2Ellist @ A_27a )
% 5.64/5.89 @ ^ [V0a0: $i] :
% 5.64/5.89 ( lam @ ty_2Enum_2Enum
% 5.64/5.89 @ ^ [V1a1: $i] :
% 5.64/5.89 ( ap @ ( c_2Ebool_2E_21 @ ( arr @ ( ty_2Ellist_2Ellist @ A_27a ) @ ( arr @ ty_2Enum_2Enum @ bool ) ) )
% 5.64/5.89 @ ( lam @ ( arr @ ( ty_2Ellist_2Ellist @ A_27a ) @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.64/5.89 @ ^ [V2llength__rel_27: $i] :
% 5.64/5.89 ( ap
% 5.64/5.89 @ ( ap @ c_2Emin_2E_3D_3D_3E
% 5.64/5.89 @ ( ap @ ( c_2Ebool_2E_21 @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.64/5.89 @ ( lam @ ( ty_2Ellist_2Ellist @ A_27a )
% 5.64/5.89 @ ^ [V3a0: $i] :
% 5.64/5.89 ( ap @ ( c_2Ebool_2E_21 @ ty_2Enum_2Enum )
% 5.64/5.89 @ ( lam @ ty_2Enum_2Enum
% 5.64/5.89 @ ^ [V4a1: $i] :
% 5.64/5.89 ( ap
% 5.64/5.89 @ ( ap @ c_2Emin_2E_3D_3D_3E
% 5.64/5.89 @ ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Ellist_2Ellist @ A_27a ) ) @ V3a0 ) @ ( c_2Ellist_2ELNIL @ A_27a ) ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ V4a1 ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) )
% 5.64/5.89 @ ( ap @ ( c_2Ebool_2E_3F @ A_27a )
% 5.66/5.89 @ ( lam @ A_27a
% 5.66/5.89 @ ^ [V5h: $i] :
% 5.66/5.89 ( ap @ ( c_2Ebool_2E_3F @ ty_2Enum_2Enum )
% 5.66/5.89 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.89 @ ^ [V6n: $i] :
% 5.66/5.89 ( ap @ ( c_2Ebool_2E_3F @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.89 @ ( lam @ ( ty_2Ellist_2Ellist @ A_27a )
% 5.66/5.89 @ ^ [V7t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Ellist_2Ellist @ A_27a ) ) @ V3a0 ) @ ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27a ) @ V5h ) @ V7t ) ) ) @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ V4a1 ) @ ( ap @ c_2Enum_2ESUC @ V6n ) ) ) @ ( ap @ ( ap @ V2llength__rel_27 @ V7t ) @ V6n ) ) ) ) ) ) ) ) ) ) )
% 5.66/5.89 @ ( ap @ ( ap @ V2llength__rel_27 @ V3a0 ) @ V4a1 ) ) ) ) ) ) )
% 5.66/5.89 @ ( ap @ ( ap @ V2llength__rel_27 @ V0a0 ) @ V1a1 ) ) ) ) ) ) ) ).
% 5.66/5.89
% 5.66/5.89 thf(conj_thm_2Ellist_2Ellength__rel__rules,axiom,
% 5.66/5.89 ! [A_27a: del] :
% 5.66/5.89 ( ( p @ ( ap @ ( ap @ ( c_2Ellist_2Ellength__rel @ A_27a ) @ ( c_2Ellist_2ELNIL @ A_27a ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.66/5.89 & ! [V0h: $i] :
% 5.66/5.89 ( ( mem @ V0h @ A_27a )
% 5.66/5.89 => ! [V1n: tp__ty_2Enum_2Enum,V2t: $i] :
% 5.66/5.89 ( ( mem @ V2t @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.89 => ( ( p @ ( ap @ ( ap @ ( c_2Ellist_2Ellength__rel @ A_27a ) @ V2t ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.66/5.89 => ( p @ ( ap @ ( ap @ ( c_2Ellist_2Ellength__rel @ A_27a ) @ ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27a ) @ V0h ) @ V2t ) ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ) ) ) ) ).
% 5.66/5.89
% 5.66/5.89 thf(conj_thm_2Ellist_2Ellength__rel__ind,axiom,
% 5.66/5.89 ! [A_27a: del,V0llength__rel_27: $i] :
% 5.66/5.89 ( ( mem @ V0llength__rel_27 @ ( arr @ ( ty_2Ellist_2Ellist @ A_27a ) @ ( arr @ ty_2Enum_2Enum @ bool ) ) )
% 5.66/5.89 => ( ( ( p @ ( ap @ ( ap @ V0llength__rel_27 @ ( c_2Ellist_2ELNIL @ A_27a ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.66/5.89 & ! [V1h: $i] :
% 5.66/5.89 ( ( mem @ V1h @ A_27a )
% 5.66/5.89 => ! [V2n: tp__ty_2Enum_2Enum,V3t: $i] :
% 5.66/5.89 ( ( mem @ V3t @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.89 => ( ( p @ ( ap @ ( ap @ V0llength__rel_27 @ V3t ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) )
% 5.66/5.89 => ( p @ ( ap @ ( ap @ V0llength__rel_27 @ ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27a ) @ V1h ) @ V3t ) ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) ) ) ) )
% 5.66/5.89 => ! [V4a0: $i] :
% 5.66/5.89 ( ( mem @ V4a0 @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.89 => ! [V5a1: tp__ty_2Enum_2Enum] :
% 5.66/5.89 ( ( p @ ( ap @ ( ap @ ( c_2Ellist_2Ellength__rel @ A_27a ) @ V4a0 ) @ ( inj__ty_2Enum_2Enum @ V5a1 ) ) )
% 5.66/5.89 => ( p @ ( ap @ ( ap @ V0llength__rel_27 @ V4a0 ) @ ( inj__ty_2Enum_2Enum @ V5a1 ) ) ) ) ) ) ) ).
% 5.66/5.89
% 5.66/5.89 thf(conj_thm_2Ellist_2Ellength__rel__strongind,axiom,
% 5.66/5.89 ! [A_27a: del,V0llength__rel_27: $i] :
% 5.66/5.89 ( ( mem @ V0llength__rel_27 @ ( arr @ ( ty_2Ellist_2Ellist @ A_27a ) @ ( arr @ ty_2Enum_2Enum @ bool ) ) )
% 5.66/5.89 => ( ( ( p @ ( ap @ ( ap @ V0llength__rel_27 @ ( c_2Ellist_2ELNIL @ A_27a ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.66/5.89 & ! [V1h: $i] :
% 5.66/5.89 ( ( mem @ V1h @ A_27a )
% 5.66/5.89 => ! [V2n: tp__ty_2Enum_2Enum,V3t: $i] :
% 5.66/5.89 ( ( mem @ V3t @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.89 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ellist_2Ellength__rel @ A_27a ) @ V3t ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) )
% 5.66/5.89 & ( p @ ( ap @ ( ap @ V0llength__rel_27 @ V3t ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) )
% 5.66/5.89 => ( p @ ( ap @ ( ap @ V0llength__rel_27 @ ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27a ) @ V1h ) @ V3t ) ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) ) ) ) )
% 5.66/5.89 => ! [V4a0: $i] :
% 5.66/5.89 ( ( mem @ V4a0 @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.89 => ! [V5a1: tp__ty_2Enum_2Enum] :
% 5.66/5.89 ( ( p @ ( ap @ ( ap @ ( c_2Ellist_2Ellength__rel @ A_27a ) @ V4a0 ) @ ( inj__ty_2Enum_2Enum @ V5a1 ) ) )
% 5.66/5.89 => ( p @ ( ap @ ( ap @ V0llength__rel_27 @ V4a0 ) @ ( inj__ty_2Enum_2Enum @ V5a1 ) ) ) ) ) ) ) ).
% 5.66/5.89
% 5.66/5.89 thf(conj_thm_2Ellist_2Ellength__rel__cases,axiom,
% 5.66/5.89 ! [A_27a: del,V0a0: $i] :
% 5.66/5.89 ( ( mem @ V0a0 @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.89 => ! [V1a1: tp__ty_2Enum_2Enum] :
% 5.66/5.89 ( ( p @ ( ap @ ( ap @ ( c_2Ellist_2Ellength__rel @ A_27a ) @ V0a0 ) @ ( inj__ty_2Enum_2Enum @ V1a1 ) ) )
% 5.66/5.89 <=> ( ( ( V0a0
% 5.66/5.89 = ( c_2Ellist_2ELNIL @ A_27a ) )
% 5.66/5.89 & ( V1a1 = fo__c_2Enum_2E0 ) )
% 5.66/5.89 | ? [V2h: $i] :
% 5.66/5.89 ( ( mem @ V2h @ A_27a )
% 5.66/5.89 & ? [V3n: tp__ty_2Enum_2Enum,V4t: $i] :
% 5.66/5.89 ( ( mem @ V4t @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.89 & ( V0a0
% 5.66/5.89 = ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27a ) @ V2h ) @ V4t ) )
% 5.66/5.89 & ( V1a1
% 5.66/5.89 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) )
% 5.66/5.89 & ( p @ ( ap @ ( ap @ ( c_2Ellist_2Ellength__rel @ A_27a ) @ V4t ) @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) ) ) ) ) ) ).
% 5.66/5.89
% 5.66/5.89 thf(ax_thm_2Ellist_2ELLENGTH,axiom,
% 5.66/5.89 ! [A_27a: del,V0ll: $i] :
% 5.66/5.89 ( ( mem @ V0ll @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.89 => ( ( surj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ ( ap @ ( c_2Ellist_2ELLENGTH @ A_27a ) @ V0ll ) )
% 5.66/5.89 = ( surj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum
% 5.66/5.89 @ ( ap
% 5.66/5.89 @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Eoption_2Eoption @ ty_2Enum_2Enum ) ) @ ( ap @ ( c_2Ellist_2ELFINITE @ A_27a ) @ V0ll ) )
% 5.66/5.89 @ ( ap @ ( c_2Eoption_2ESOME @ ty_2Enum_2Enum )
% 5.66/5.89 @ ( ap @ ( c_2Emin_2E_40 @ ty_2Enum_2Enum )
% 5.66/5.89 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.89 @ ^ [V1n: $i] : ( ap @ ( ap @ ( c_2Ellist_2Ellength__rel @ A_27a ) @ V0ll ) @ V1n ) ) ) ) )
% 5.66/5.89 @ ( c_2Eoption_2ENONE @ ty_2Enum_2Enum ) ) ) ) ) ).
% 5.66/5.89
% 5.66/5.89 thf(conj_thm_2Ellist_2ELLENGTH__THM,axiom,
% 5.66/5.89 ! [A_27a: del,A_27b: del] :
% 5.66/5.89 ( ( ( surj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ ( ap @ ( c_2Ellist_2ELLENGTH @ A_27a ) @ ( c_2Ellist_2ELNIL @ A_27a ) ) )
% 5.66/5.89 = ( surj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ ( ap @ ( c_2Eoption_2ESOME @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) )
% 5.66/5.89 & ! [V0h: $i] :
% 5.66/5.89 ( ( mem @ V0h @ A_27b )
% 5.66/5.89 => ! [V1t: $i] :
% 5.66/5.89 ( ( mem @ V1t @ ( ty_2Ellist_2Ellist @ A_27b ) )
% 5.66/5.89 => ( ( surj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ ( ap @ ( c_2Ellist_2ELLENGTH @ A_27b ) @ ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27b ) @ V0h ) @ V1t ) ) )
% 5.66/5.89 = ( surj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ ( ap @ ( ap @ ( c_2Eoption_2EOPTION__MAP @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ c_2Enum_2ESUC ) @ ( ap @ ( c_2Ellist_2ELLENGTH @ A_27b ) @ V1t ) ) ) ) ) ) ) ).
% 5.66/5.89
% 5.66/5.89 thf(conj_thm_2Ellist_2ELLENGTH__0,axiom,
% 5.66/5.89 ! [A_27a: del,V0x: $i] :
% 5.66/5.89 ( ( mem @ V0x @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.89 => ( ( ( surj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ ( ap @ ( c_2Ellist_2ELLENGTH @ A_27a ) @ V0x ) )
% 5.66/5.89 = ( surj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ ( ap @ ( c_2Eoption_2ESOME @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) )
% 5.66/5.89 <=> ( V0x
% 5.66/5.89 = ( c_2Ellist_2ELNIL @ A_27a ) ) ) ) ).
% 5.66/5.89
% 5.66/5.89 thf(conj_thm_2Ellist_2ELFINITE__HAS__LENGTH,axiom,
% 5.66/5.89 ! [A_27a: del,V0ll: $i] :
% 5.66/5.89 ( ( mem @ V0ll @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.89 => ( ( p @ ( ap @ ( c_2Ellist_2ELFINITE @ A_27a ) @ V0ll ) )
% 5.66/5.89 => ? [V1n: tp__ty_2Enum_2Enum] :
% 5.66/5.89 ( ( surj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ ( ap @ ( c_2Ellist_2ELLENGTH @ A_27a ) @ V0ll ) )
% 5.66/5.89 = ( surj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ ( ap @ ( c_2Eoption_2ESOME @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ) ) ).
% 5.66/5.89
% 5.66/5.89 thf(conj_thm_2Ellist_2ENOT__LFINITE__NO__LENGTH,axiom,
% 5.66/5.89 ! [A_27a: del,V0ll: $i] :
% 5.66/5.89 ( ( mem @ V0ll @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.89 => ( ~ ( p @ ( ap @ ( c_2Ellist_2ELFINITE @ A_27a ) @ V0ll ) )
% 5.66/5.89 => ( ( surj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ ( ap @ ( c_2Ellist_2ELLENGTH @ A_27a ) @ V0ll ) )
% 5.66/5.89 = ( surj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ ( c_2Eoption_2ENONE @ ty_2Enum_2Enum ) ) ) ) ) ).
% 5.66/5.89
% 5.66/5.89 thf(conj_thm_2Ellist_2ELFINITE__LLENGTH,axiom,
% 5.66/5.89 ! [A_27a: del,V0ll: $i] :
% 5.66/5.89 ( ( mem @ V0ll @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.89 => ( ( p @ ( ap @ ( c_2Ellist_2ELFINITE @ A_27a ) @ V0ll ) )
% 5.66/5.89 <=> ? [V1n: tp__ty_2Enum_2Enum] :
% 5.66/5.89 ( ( surj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ ( ap @ ( c_2Ellist_2ELLENGTH @ A_27a ) @ V0ll ) )
% 5.66/5.89 = ( surj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ ( ap @ ( c_2Eoption_2ESOME @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ) ) ).
% 5.66/5.89
% 5.66/5.89 thf(conj_thm_2Ellist_2ELFINITE__INDUCTION,axiom,
% 5.66/5.89 ! [A_27a: del,V0P: $i] :
% 5.66/5.89 ( ( mem @ V0P @ ( arr @ ( ty_2Ellist_2Ellist @ A_27a ) @ bool ) )
% 5.66/5.89 => ( ( ( p @ ( ap @ V0P @ ( c_2Ellist_2ELNIL @ A_27a ) ) )
% 5.66/5.89 & ! [V1h: $i] :
% 5.66/5.89 ( ( mem @ V1h @ A_27a )
% 5.66/5.89 => ! [V2t: $i] :
% 5.66/5.89 ( ( mem @ V2t @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.89 => ( ( p @ ( ap @ V0P @ V2t ) )
% 5.66/5.89 => ( p @ ( ap @ V0P @ ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27a ) @ V1h ) @ V2t ) ) ) ) ) ) )
% 5.66/5.89 => ! [V3a0: $i] :
% 5.66/5.89 ( ( mem @ V3a0 @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.89 => ( ( p @ ( ap @ ( c_2Ellist_2ELFINITE @ A_27a ) @ V3a0 ) )
% 5.66/5.89 => ( p @ ( ap @ V0P @ V3a0 ) ) ) ) ) ) ).
% 5.66/5.89
% 5.66/5.89 thf(conj_thm_2Ellist_2ELFINITE__STRONG__INDUCTION,axiom,
% 5.66/5.89 ! [A_27a: del,V0P: $i] :
% 5.66/5.89 ( ( mem @ V0P @ ( arr @ ( ty_2Ellist_2Ellist @ A_27a ) @ bool ) )
% 5.66/5.89 => ( ( ( p @ ( ap @ V0P @ ( c_2Ellist_2ELNIL @ A_27a ) ) )
% 5.66/5.89 & ! [V1h: $i] :
% 5.66/5.89 ( ( mem @ V1h @ A_27a )
% 5.66/5.89 => ! [V2t: $i] :
% 5.66/5.89 ( ( mem @ V2t @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.89 => ( ( ( p @ ( ap @ ( c_2Ellist_2ELFINITE @ A_27a ) @ V2t ) )
% 5.66/5.89 & ( p @ ( ap @ V0P @ V2t ) ) )
% 5.66/5.89 => ( p @ ( ap @ V0P @ ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27a ) @ V1h ) @ V2t ) ) ) ) ) ) )
% 5.66/5.89 => ! [V3a0: $i] :
% 5.66/5.89 ( ( mem @ V3a0 @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.89 => ( ( p @ ( ap @ ( c_2Ellist_2ELFINITE @ A_27a ) @ V3a0 ) )
% 5.66/5.89 => ( p @ ( ap @ V0P @ V3a0 ) ) ) ) ) ) ).
% 5.66/5.89
% 5.66/5.89 thf(conj_thm_2Ellist_2ELFINITE__MAP,axiom,
% 5.66/5.89 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.89 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.89 => ! [V1ll: $i] :
% 5.66/5.89 ( ( mem @ V1ll @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.89 => ( ( p @ ( ap @ ( c_2Ellist_2ELFINITE @ A_27b ) @ ( ap @ ( ap @ ( c_2Ellist_2ELMAP @ A_27a @ A_27b ) @ V0f ) @ V1ll ) ) )
% 5.66/5.89 <=> ( p @ ( ap @ ( c_2Ellist_2ELFINITE @ A_27a ) @ V1ll ) ) ) ) ) ).
% 5.66/5.89
% 5.66/5.89 thf(conj_thm_2Ellist_2ELFINITE__APPEND,axiom,
% 5.66/5.89 ! [A_27a: del,V0ll1: $i] :
% 5.66/5.89 ( ( mem @ V0ll1 @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.89 => ! [V1ll2: $i] :
% 5.66/5.89 ( ( mem @ V1ll2 @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.89 => ( ( p @ ( ap @ ( c_2Ellist_2ELFINITE @ A_27a ) @ ( ap @ ( ap @ ( c_2Ellist_2ELAPPEND @ A_27a ) @ V0ll1 ) @ V1ll2 ) ) )
% 5.66/5.89 <=> ( ( p @ ( ap @ ( c_2Ellist_2ELFINITE @ A_27a ) @ V0ll1 ) )
% 5.66/5.89 & ( p @ ( ap @ ( c_2Ellist_2ELFINITE @ A_27a ) @ V1ll2 ) ) ) ) ) ) ).
% 5.66/5.89
% 5.66/5.89 thf(conj_thm_2Ellist_2ELTAKE__LNTH__EL,axiom,
% 5.66/5.89 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1ll: $i] :
% 5.66/5.89 ( ( mem @ V1ll @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.89 => ! [V2m: tp__ty_2Enum_2Enum,V3l: $i] :
% 5.66/5.89 ( ( mem @ V3l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.89 => ( ( ( ( ap @ ( ap @ ( c_2Ellist_2ELTAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1ll )
% 5.66/5.89 = ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Elist_2Elist @ A_27a ) ) @ V3l ) )
% 5.66/5.89 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V2m ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) )
% 5.66/5.89 => ( ( ap @ ( ap @ ( c_2Ellist_2ELNTH @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V2m ) ) @ V1ll )
% 5.66/5.89 = ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V2m ) ) @ V3l ) ) ) ) ) ) ).
% 5.66/5.89
% 5.66/5.89 thf(conj_thm_2Ellist_2ENOT__LFINITE__APPEND,axiom,
% 5.66/5.89 ! [A_27a: del,V0ll1: $i] :
% 5.66/5.89 ( ( mem @ V0ll1 @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.89 => ! [V1ll2: $i] :
% 5.66/5.89 ( ( mem @ V1ll2 @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.89 => ( ~ ( p @ ( ap @ ( c_2Ellist_2ELFINITE @ A_27a ) @ V0ll1 ) )
% 5.66/5.89 => ( ( ap @ ( ap @ ( c_2Ellist_2ELAPPEND @ A_27a ) @ V0ll1 ) @ V1ll2 )
% 5.66/5.89 = V0ll1 ) ) ) ) ).
% 5.66/5.89
% 5.66/5.89 thf(conj_thm_2Ellist_2ELFINITE__LAPPEND__IMP__NIL,axiom,
% 5.66/5.89 ! [A_27a: del,V0ll: $i] :
% 5.66/5.89 ( ( mem @ V0ll @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.89 => ( ( p @ ( ap @ ( c_2Ellist_2ELFINITE @ A_27a ) @ V0ll ) )
% 5.66/5.89 => ! [V1l2: $i] :
% 5.66/5.89 ( ( mem @ V1l2 @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.89 => ( ( ( ap @ ( ap @ ( c_2Ellist_2ELAPPEND @ A_27a ) @ V0ll ) @ V1l2 )
% 5.66/5.89 = V0ll )
% 5.66/5.89 => ( V1l2
% 5.66/5.89 = ( c_2Ellist_2ELNIL @ A_27a ) ) ) ) ) ) ).
% 5.66/5.89
% 5.66/5.89 thf(conj_thm_2Ellist_2ELLENGTH__MAP,axiom,
% 5.66/5.89 ! [A_27a: del,A_27b: del,V0ll: $i] :
% 5.66/5.89 ( ( mem @ V0ll @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.89 => ! [V1f: $i] :
% 5.66/5.89 ( ( mem @ V1f @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.89 => ( ( surj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ ( ap @ ( c_2Ellist_2ELLENGTH @ A_27b ) @ ( ap @ ( ap @ ( c_2Ellist_2ELMAP @ A_27a @ A_27b ) @ V1f ) @ V0ll ) ) )
% 5.66/5.89 = ( surj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ ( ap @ ( c_2Ellist_2ELLENGTH @ A_27a ) @ V0ll ) ) ) ) ) ).
% 5.66/5.89
% 5.66/5.89 thf(conj_thm_2Ellist_2ELLENGTH__APPEND,axiom,
% 5.66/5.89 ! [A_27a: del,V0ll1: $i] :
% 5.66/5.89 ( ( mem @ V0ll1 @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.89 => ! [V1ll2: $i] :
% 5.66/5.89 ( ( mem @ V1ll2 @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.89 => ( ( surj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ ( ap @ ( c_2Ellist_2ELLENGTH @ A_27a ) @ ( ap @ ( ap @ ( c_2Ellist_2ELAPPEND @ A_27a ) @ V0ll1 ) @ V1ll2 ) ) )
% 5.66/5.89 = ( surj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Eoption_2Eoption @ ty_2Enum_2Enum ) ) @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( c_2Ellist_2ELFINITE @ A_27a ) @ V0ll1 ) ) @ ( ap @ ( c_2Ellist_2ELFINITE @ A_27a ) @ V1ll2 ) ) ) @ ( ap @ ( c_2Eoption_2ESOME @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( c_2Eoption_2ETHE @ ty_2Enum_2Enum ) @ ( ap @ ( c_2Ellist_2ELLENGTH @ A_27a ) @ V0ll1 ) ) ) @ ( ap @ ( c_2Eoption_2ETHE @ ty_2Enum_2Enum ) @ ( ap @ ( c_2Ellist_2ELLENGTH @ A_27a ) @ V1ll2 ) ) ) ) ) @ ( c_2Eoption_2ENONE @ ty_2Enum_2Enum ) ) ) ) ) ) ).
% 5.66/5.89
% 5.66/5.89 thf(ax_thm_2Ellist_2EtoList,axiom,
% 5.66/5.89 ! [A_27a: del,V0ll: $i] :
% 5.66/5.89 ( ( mem @ V0ll @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.89 => ( ( ap @ ( c_2Ellist_2EtoList @ A_27a ) @ V0ll )
% 5.66/5.89 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Eoption_2Eoption @ ( ty_2Elist_2Elist @ A_27a ) ) ) @ ( ap @ ( c_2Ellist_2ELFINITE @ A_27a ) @ V0ll ) ) @ ( ap @ ( ap @ ( c_2Ellist_2ELTAKE @ A_27a ) @ ( ap @ ( c_2Eoption_2ETHE @ ty_2Enum_2Enum ) @ ( ap @ ( c_2Ellist_2ELLENGTH @ A_27a ) @ V0ll ) ) ) @ V0ll ) ) @ ( c_2Eoption_2ENONE @ ( ty_2Elist_2Elist @ A_27a ) ) ) ) ) ).
% 5.66/5.89
% 5.66/5.89 thf(conj_thm_2Ellist_2EtoList__THM,axiom,
% 5.66/5.89 ! [A_27a: del,A_27b: del] :
% 5.66/5.89 ( ( ( ap @ ( c_2Ellist_2EtoList @ A_27a ) @ ( c_2Ellist_2ELNIL @ A_27a ) )
% 5.66/5.89 = ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.66/5.89 & ! [V0h: $i] :
% 5.66/5.89 ( ( mem @ V0h @ A_27b )
% 5.66/5.89 => ! [V1t: $i] :
% 5.66/5.89 ( ( mem @ V1t @ ( ty_2Ellist_2Ellist @ A_27b ) )
% 5.66/5.89 => ( ( ap @ ( c_2Ellist_2EtoList @ A_27b ) @ ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27b ) @ V0h ) @ V1t ) )
% 5.66/5.89 = ( ap @ ( ap @ ( c_2Eoption_2EOPTION__MAP @ ( ty_2Elist_2Elist @ A_27b ) @ ( ty_2Elist_2Elist @ A_27b ) ) @ ( ap @ ( c_2Elist_2ECONS @ A_27b ) @ V0h ) ) @ ( ap @ ( c_2Ellist_2EtoList @ A_27b ) @ V1t ) ) ) ) ) ) ).
% 5.66/5.89
% 5.66/5.89 thf(ax_thm_2Ellist_2EfromList__def,axiom,
% 5.66/5.89 ! [A_27a: del] :
% 5.66/5.89 ( ( ( ap @ ( c_2Ellist_2EfromList @ A_27a ) @ ( c_2Elist_2ENIL @ A_27a ) )
% 5.66/5.89 = ( c_2Ellist_2ELNIL @ A_27a ) )
% 5.66/5.89 & ! [V0h: $i] :
% 5.66/5.89 ( ( mem @ V0h @ A_27a )
% 5.66/5.89 => ! [V1t: $i] :
% 5.66/5.89 ( ( mem @ V1t @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.89 => ( ( ap @ ( c_2Ellist_2EfromList @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V0h ) @ V1t ) )
% 5.66/5.89 = ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27a ) @ V0h ) @ ( ap @ ( c_2Ellist_2EfromList @ A_27a ) @ V1t ) ) ) ) ) ) ).
% 5.66/5.89
% 5.66/5.89 thf(conj_thm_2Ellist_2EfromList__EQ__LNIL,axiom,
% 5.66/5.89 ! [A_27a: del,V0l: $i] :
% 5.66/5.89 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.89 => ( ( ( ap @ ( c_2Ellist_2EfromList @ A_27a ) @ V0l )
% 5.66/5.89 = ( c_2Ellist_2ELNIL @ A_27a ) )
% 5.66/5.89 <=> ( V0l
% 5.66/5.89 = ( c_2Elist_2ENIL @ A_27a ) ) ) ) ).
% 5.66/5.89
% 5.66/5.89 thf(conj_thm_2Ellist_2ELHD__fromList,axiom,
% 5.66/5.89 ! [A_27a: del,V0l: $i] :
% 5.66/5.89 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.89 => ( ( ap @ ( c_2Ellist_2ELHD @ A_27a ) @ ( ap @ ( c_2Ellist_2EfromList @ A_27a ) @ V0l ) )
% 5.66/5.89 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ ( ap @ ( c_2Elist_2ENULL @ A_27a ) @ V0l ) ) @ ( c_2Eoption_2ENONE @ A_27a ) ) @ ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ ( ap @ ( c_2Elist_2EHD @ A_27a ) @ V0l ) ) ) ) ) ).
% 5.66/5.89
% 5.66/5.89 thf(conj_thm_2Ellist_2ELTL__fromList,axiom,
% 5.66/5.89 ! [A_27a: del,V0l: $i] :
% 5.66/5.89 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.89 => ( ( ap @ ( c_2Ellist_2ELTL @ A_27a ) @ ( ap @ ( c_2Ellist_2EfromList @ A_27a ) @ V0l ) )
% 5.66/5.89 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Eoption_2Eoption @ ( ty_2Ellist_2Ellist @ A_27a ) ) ) @ ( ap @ ( c_2Elist_2ENULL @ A_27a ) @ V0l ) ) @ ( c_2Eoption_2ENONE @ ( ty_2Ellist_2Ellist @ A_27a ) ) ) @ ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Ellist_2Ellist @ A_27a ) ) @ ( ap @ ( c_2Ellist_2EfromList @ A_27a ) @ ( ap @ ( c_2Elist_2ETL @ A_27a ) @ V0l ) ) ) ) ) ) ).
% 5.66/5.89
% 5.66/5.89 thf(conj_thm_2Ellist_2ELFINITE__fromList,axiom,
% 5.66/5.89 ! [A_27a: del,V0l: $i] :
% 5.66/5.89 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.89 => ( p @ ( ap @ ( c_2Ellist_2ELFINITE @ A_27a ) @ ( ap @ ( c_2Ellist_2EfromList @ A_27a ) @ V0l ) ) ) ) ).
% 5.66/5.89
% 5.66/5.89 thf(conj_thm_2Ellist_2ELLENGTH__fromList,axiom,
% 5.66/5.89 ! [A_27a: del,V0l: $i] :
% 5.66/5.89 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.89 => ( ( surj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ ( ap @ ( c_2Ellist_2ELLENGTH @ A_27a ) @ ( ap @ ( c_2Ellist_2EfromList @ A_27a ) @ V0l ) ) )
% 5.66/5.89 = ( surj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ ( ap @ ( c_2Eoption_2ESOME @ ty_2Enum_2Enum ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) ) ) ) ).
% 5.66/5.89
% 5.66/5.89 thf(conj_thm_2Ellist_2ELTAKE__fromList,axiom,
% 5.66/5.89 ! [A_27a: del,V0l: $i] :
% 5.66/5.89 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.89 => ( ( ap @ ( ap @ ( c_2Ellist_2ELTAKE @ A_27a ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ ( ap @ ( c_2Ellist_2EfromList @ A_27a ) @ V0l ) )
% 5.66/5.89 = ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Elist_2Elist @ A_27a ) ) @ V0l ) ) ) ).
% 5.66/5.89
% 5.66/5.89 thf(conj_thm_2Ellist_2Efrom__toList,axiom,
% 5.66/5.89 ! [A_27a: del,V0l: $i] :
% 5.66/5.89 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.89 => ( ( ap @ ( c_2Ellist_2EtoList @ A_27a ) @ ( ap @ ( c_2Ellist_2EfromList @ A_27a ) @ V0l ) )
% 5.66/5.89 = ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Elist_2Elist @ A_27a ) ) @ V0l ) ) ) ).
% 5.66/5.89
% 5.66/5.89 thf(conj_thm_2Ellist_2ELFINITE__toList,axiom,
% 5.66/5.89 ! [A_27a: del,V0ll: $i] :
% 5.66/5.89 ( ( mem @ V0ll @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.89 => ( ( p @ ( ap @ ( c_2Ellist_2ELFINITE @ A_27a ) @ V0ll ) )
% 5.66/5.89 => ? [V1l: $i] :
% 5.66/5.89 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.89 & ( ( ap @ ( c_2Ellist_2EtoList @ A_27a ) @ V0ll )
% 5.66/5.89 = ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Elist_2Elist @ A_27a ) ) @ V1l ) ) ) ) ) ).
% 5.66/5.89
% 5.66/5.89 thf(conj_thm_2Ellist_2ELFINITE__toList__SOME,axiom,
% 5.66/5.89 ! [A_27a: del,V0ll: $i] :
% 5.66/5.89 ( ( mem @ V0ll @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.89 => ( ( p @ ( ap @ ( c_2Ellist_2ELFINITE @ A_27a ) @ V0ll ) )
% 5.66/5.89 <=> ( p @ ( ap @ ( c_2Eoption_2EIS__SOME @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ap @ ( c_2Ellist_2EtoList @ A_27a ) @ V0ll ) ) ) ) ) ).
% 5.66/5.89
% 5.66/5.89 thf(conj_thm_2Ellist_2Eto__fromList,axiom,
% 5.66/5.89 ! [A_27a: del,V0ll: $i] :
% 5.66/5.89 ( ( mem @ V0ll @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.89 => ( ( p @ ( ap @ ( c_2Ellist_2ELFINITE @ A_27a ) @ V0ll ) )
% 5.66/5.89 => ( ( ap @ ( c_2Ellist_2EfromList @ A_27a ) @ ( ap @ ( c_2Eoption_2ETHE @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ap @ ( c_2Ellist_2EtoList @ A_27a ) @ V0ll ) ) )
% 5.66/5.89 = V0ll ) ) ) ).
% 5.66/5.89
% 5.66/5.89 thf(conj_thm_2Ellist_2ELTAKE__LAPPEND2,axiom,
% 5.66/5.89 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1l1: $i] :
% 5.66/5.89 ( ( mem @ V1l1 @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.89 => ! [V2l2: $i] :
% 5.66/5.89 ( ( mem @ V2l2 @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.89 => ( ( ( ap @ ( ap @ ( c_2Ellist_2ELTAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1l1 )
% 5.66/5.89 = ( c_2Eoption_2ENONE @ ( ty_2Elist_2Elist @ A_27a ) ) )
% 5.66/5.89 => ( ( ap @ ( ap @ ( c_2Ellist_2ELTAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( ap @ ( c_2Ellist_2ELAPPEND @ A_27a ) @ V1l1 ) @ V2l2 ) )
% 5.66/5.89 = ( ap @ ( ap @ ( c_2Eoption_2EOPTION__MAP @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ ( ap @ ( c_2Eoption_2ETHE @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ap @ ( c_2Ellist_2EtoList @ A_27a ) @ V1l1 ) ) ) ) @ ( ap @ ( ap @ ( c_2Ellist_2ELTAKE @ A_27a ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( c_2Eoption_2ETHE @ ty_2Enum_2Enum ) @ ( ap @ ( c_2Ellist_2ELLENGTH @ A_27a ) @ V1l1 ) ) ) ) @ V2l2 ) ) ) ) ) ) ).
% 5.66/5.89
% 5.66/5.89 thf(conj_thm_2Ellist_2ELNTH__fromList,axiom,
% 5.66/5.89 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1l: $i] :
% 5.66/5.89 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.89 => ( ( ap @ ( ap @ ( c_2Ellist_2ELNTH @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( c_2Ellist_2EfromList @ A_27a ) @ V1l ) )
% 5.66/5.89 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l ) ) ) @ ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1l ) ) ) @ ( c_2Eoption_2ENONE @ A_27a ) ) ) ) ).
% 5.66/5.89
% 5.66/5.89 thf(conj_thm_2Ellist_2Elnth__fromList__some,axiom,
% 5.66/5.89 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1l: $i] :
% 5.66/5.89 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.89 => ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l ) ) )
% 5.66/5.89 <=> ( ( ap @ ( ap @ ( c_2Ellist_2ELNTH @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( c_2Ellist_2EfromList @ A_27a ) @ V1l ) )
% 5.66/5.89 = ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1l ) ) ) ) ) ).
% 5.66/5.89
% 5.66/5.89 thf(ax_thm_2Ellist_2ELDROP,axiom,
% 5.66/5.89 ! [A_27a: del] :
% 5.66/5.89 ( ! [V0ll: $i] :
% 5.66/5.89 ( ( mem @ V0ll @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.89 => ( ( ap @ ( ap @ ( c_2Ellist_2ELDROP @ A_27a ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ V0ll )
% 5.66/5.89 = ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Ellist_2Ellist @ A_27a ) ) @ V0ll ) ) )
% 5.66/5.89 & ! [V1n: tp__ty_2Enum_2Enum,V2ll: $i] :
% 5.66/5.89 ( ( mem @ V2ll @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.89 => ( ( ap @ ( ap @ ( c_2Ellist_2ELDROP @ A_27a ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ V2ll )
% 5.66/5.89 = ( ap @ ( c_2Eoption_2EOPTION__JOIN @ ( ty_2Ellist_2Ellist @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Eoption_2EOPTION__MAP @ ( ty_2Ellist_2Ellist @ A_27a ) @ ( ty_2Eoption_2Eoption @ ( ty_2Ellist_2Ellist @ A_27a ) ) ) @ ( ap @ ( c_2Ellist_2ELDROP @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ ( ap @ ( c_2Ellist_2ELTL @ A_27a ) @ V2ll ) ) ) ) ) ) ).
% 5.66/5.89
% 5.66/5.89 thf(conj_thm_2Ellist_2ELDROP__FUNPOW,axiom,
% 5.66/5.89 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1ll: $i] :
% 5.66/5.89 ( ( mem @ V1ll @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.89 => ( ( ap @ ( ap @ ( c_2Ellist_2ELDROP @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1ll )
% 5.66/5.89 = ( ap
% 5.66/5.89 @ ( ap
% 5.66/5.89 @ ( ap @ ( c_2Earithmetic_2EFUNPOW @ ( ty_2Eoption_2Eoption @ ( ty_2Ellist_2Ellist @ A_27a ) ) )
% 5.66/5.89 @ ( lam @ ( ty_2Eoption_2Eoption @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.89 @ ^ [V2m: $i] : ( ap @ ( ap @ ( c_2Eoption_2EOPTION__BIND @ ( ty_2Ellist_2Ellist @ A_27a ) @ ( ty_2Ellist_2Ellist @ A_27a ) ) @ V2m ) @ ( c_2Ellist_2ELTL @ A_27a ) ) ) )
% 5.66/5.89 @ ( inj__ty_2Enum_2Enum @ V0n ) )
% 5.66/5.89 @ ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Ellist_2Ellist @ A_27a ) ) @ V1ll ) ) ) ) ).
% 5.66/5.89
% 5.66/5.89 thf(conj_thm_2Ellist_2ELDROP__THM,axiom,
% 5.66/5.89 ! [A_27a: del,A_27b: del,A_27c: del] :
% 5.66/5.89 ( ! [V0ll: $i] :
% 5.66/5.89 ( ( mem @ V0ll @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.89 => ( ( ap @ ( ap @ ( c_2Ellist_2ELDROP @ A_27a ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ V0ll )
% 5.66/5.89 = ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Ellist_2Ellist @ A_27a ) ) @ V0ll ) ) )
% 5.66/5.89 & ! [V1n: tp__ty_2Enum_2Enum] :
% 5.66/5.89 ( ( ap @ ( ap @ ( c_2Ellist_2ELDROP @ A_27b ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ ( c_2Ellist_2ELNIL @ A_27b ) )
% 5.66/5.89 = ( c_2Eoption_2ENONE @ ( ty_2Ellist_2Ellist @ A_27b ) ) )
% 5.66/5.89 & ! [V2n: tp__ty_2Enum_2Enum,V3h: $i] :
% 5.66/5.89 ( ( mem @ V3h @ A_27c )
% 5.66/5.89 => ! [V4t: $i] :
% 5.66/5.89 ( ( mem @ V4t @ ( ty_2Ellist_2Ellist @ A_27c ) )
% 5.66/5.89 => ( ( ap @ ( ap @ ( c_2Ellist_2ELDROP @ A_27c ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) @ ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27c ) @ V3h ) @ V4t ) )
% 5.66/5.89 = ( ap @ ( ap @ ( c_2Ellist_2ELDROP @ A_27c ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ V4t ) ) ) ) ) ).
% 5.66/5.89
% 5.66/5.89 thf(conj_thm_2Ellist_2ELDROP1__THM,axiom,
% 5.66/5.89 ! [A_27a: del] :
% 5.66/5.89 ( ( ap @ ( c_2Ellist_2ELDROP @ A_27a ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) )
% 5.66/5.89 = ( c_2Ellist_2ELTL @ A_27a ) ) ).
% 5.66/5.89
% 5.66/5.89 thf(conj_thm_2Ellist_2ELNTH__HD__LDROP,axiom,
% 5.66/5.89 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1ll: $i] :
% 5.66/5.89 ( ( mem @ V1ll @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.89 => ( ( ap @ ( ap @ ( c_2Ellist_2ELNTH @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1ll )
% 5.66/5.89 = ( ap @ ( ap @ ( c_2Eoption_2EOPTION__BIND @ A_27a @ ( ty_2Ellist_2Ellist @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Ellist_2ELDROP @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1ll ) ) @ ( c_2Ellist_2ELHD @ A_27a ) ) ) ) ).
% 5.66/5.89
% 5.66/5.89 thf(conj_thm_2Ellist_2ENOT__LFINITE__TAKE,axiom,
% 5.66/5.89 ! [A_27a: del,V0ll: $i] :
% 5.66/5.89 ( ( mem @ V0ll @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.89 => ( ~ ( p @ ( ap @ ( c_2Ellist_2ELFINITE @ A_27a ) @ V0ll ) )
% 5.66/5.89 => ! [V1n: tp__ty_2Enum_2Enum] :
% 5.66/5.89 ? [V2y: $i] :
% 5.66/5.89 ( ( mem @ V2y @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.89 & ( ( ap @ ( ap @ ( c_2Ellist_2ELTAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ V0ll )
% 5.66/5.89 = ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Elist_2Elist @ A_27a ) ) @ V2y ) ) ) ) ) ).
% 5.66/5.89
% 5.66/5.89 thf(conj_thm_2Ellist_2ELFINITE__TAKE,axiom,
% 5.66/5.89 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1ll: $i] :
% 5.66/5.89 ( ( mem @ V1ll @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.89 => ( ( ( p @ ( ap @ ( c_2Ellist_2ELFINITE @ A_27a ) @ V1ll ) )
% 5.66/5.89 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( c_2Eoption_2ETHE @ ty_2Enum_2Enum ) @ ( ap @ ( c_2Ellist_2ELLENGTH @ A_27a ) @ V1ll ) ) ) ) )
% 5.66/5.89 => ? [V2y: $i] :
% 5.66/5.89 ( ( mem @ V2y @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.89 & ( ( ap @ ( ap @ ( c_2Ellist_2ELTAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1ll )
% 5.66/5.89 = ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Elist_2Elist @ A_27a ) ) @ V2y ) ) ) ) ) ).
% 5.66/5.89
% 5.66/5.89 thf(conj_thm_2Ellist_2ENOT__LFINITE__DROP,axiom,
% 5.66/5.89 ! [A_27a: del,V0ll: $i] :
% 5.66/5.89 ( ( mem @ V0ll @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.89 => ( ~ ( p @ ( ap @ ( c_2Ellist_2ELFINITE @ A_27a ) @ V0ll ) )
% 5.66/5.89 => ! [V1n: tp__ty_2Enum_2Enum] :
% 5.66/5.89 ? [V2y: $i] :
% 5.66/5.89 ( ( mem @ V2y @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.89 & ( ( ap @ ( ap @ ( c_2Ellist_2ELDROP @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ V0ll )
% 5.66/5.89 = ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Ellist_2Ellist @ A_27a ) ) @ V2y ) ) ) ) ) ).
% 5.66/5.89
% 5.66/5.89 thf(conj_thm_2Ellist_2ELFINITE__DROP,axiom,
% 5.66/5.89 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1ll: $i] :
% 5.66/5.89 ( ( mem @ V1ll @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.89 => ( ( ( p @ ( ap @ ( c_2Ellist_2ELFINITE @ A_27a ) @ V1ll ) )
% 5.66/5.89 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( c_2Eoption_2ETHE @ ty_2Enum_2Enum ) @ ( ap @ ( c_2Ellist_2ELLENGTH @ A_27a ) @ V1ll ) ) ) ) )
% 5.66/5.89 => ? [V2y: $i] :
% 5.66/5.89 ( ( mem @ V2y @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.89 & ( ( ap @ ( ap @ ( c_2Ellist_2ELDROP @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1ll )
% 5.66/5.89 = ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Ellist_2Ellist @ A_27a ) ) @ V2y ) ) ) ) ) ).
% 5.66/5.89
% 5.66/5.89 thf(conj_thm_2Ellist_2ELTAKE__DROP,axiom,
% 5.66/5.89 ! [A_27a: del] :
% 5.66/5.89 ( ! [V0n: tp__ty_2Enum_2Enum,V1ll: $i] :
% 5.66/5.89 ( ( mem @ V1ll @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.89 => ( ~ ( p @ ( ap @ ( c_2Ellist_2ELFINITE @ A_27a ) @ V1ll ) )
% 5.66/5.89 => ( ( ap @ ( ap @ ( c_2Ellist_2ELAPPEND @ A_27a ) @ ( ap @ ( c_2Ellist_2EfromList @ A_27a ) @ ( ap @ ( c_2Eoption_2ETHE @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Ellist_2ELTAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1ll ) ) ) ) @ ( ap @ ( c_2Eoption_2ETHE @ ( ty_2Ellist_2Ellist @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Ellist_2ELDROP @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1ll ) ) )
% 5.66/5.89 = V1ll ) ) )
% 5.66/5.89 & ! [V2n: tp__ty_2Enum_2Enum,V3ll: $i] :
% 5.66/5.89 ( ( mem @ V3ll @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.89 => ( ( ( p @ ( ap @ ( c_2Ellist_2ELFINITE @ A_27a ) @ V3ll ) )
% 5.66/5.89 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( ap @ ( c_2Eoption_2ETHE @ ty_2Enum_2Enum ) @ ( ap @ ( c_2Ellist_2ELLENGTH @ A_27a ) @ V3ll ) ) ) ) )
% 5.66/5.89 => ( ( ap @ ( ap @ ( c_2Ellist_2ELAPPEND @ A_27a ) @ ( ap @ ( c_2Ellist_2EfromList @ A_27a ) @ ( ap @ ( c_2Eoption_2ETHE @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Ellist_2ELTAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ V3ll ) ) ) ) @ ( ap @ ( c_2Eoption_2ETHE @ ( ty_2Ellist_2Ellist @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Ellist_2ELDROP @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ V3ll ) ) )
% 5.66/5.89 = V3ll ) ) ) ) ).
% 5.66/5.89
% 5.66/5.89 thf(conj_thm_2Ellist_2ELDROP__ADD,axiom,
% 5.66/5.89 ! [A_27a: del,V0k1: tp__ty_2Enum_2Enum,V1k2: tp__ty_2Enum_2Enum,V2x: $i] :
% 5.66/5.89 ( ( mem @ V2x @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.89 => ( ( ap @ ( ap @ ( c_2Ellist_2ELDROP @ A_27a ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0k1 ) ) @ ( inj__ty_2Enum_2Enum @ V1k2 ) ) ) @ V2x )
% 5.66/5.89 = ( ap @ ( ap @ ( ap @ ( c_2Eoption_2Eoption__CASE @ ( ty_2Ellist_2Ellist @ A_27a ) @ ( ty_2Eoption_2Eoption @ ( ty_2Ellist_2Ellist @ A_27a ) ) ) @ ( ap @ ( ap @ ( c_2Ellist_2ELDROP @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0k1 ) ) @ V2x ) ) @ ( c_2Eoption_2ENONE @ ( ty_2Ellist_2Ellist @ A_27a ) ) )
% 5.66/5.89 @ ( lam @ ( ty_2Ellist_2Ellist @ A_27a )
% 5.66/5.89 @ ^ [V3ll: $i] : ( ap @ ( ap @ ( c_2Ellist_2ELDROP @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1k2 ) ) @ V3ll ) ) ) ) ) ).
% 5.66/5.89
% 5.66/5.89 thf(conj_thm_2Ellist_2ELDROP__SOME__LLENGTH,axiom,
% 5.66/5.89 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1ll: $i] :
% 5.66/5.89 ( ( mem @ V1ll @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.89 => ! [V2l: $i] :
% 5.66/5.89 ( ( mem @ V2l @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.89 => ! [V3m: tp__ty_2Enum_2Enum] :
% 5.66/5.89 ( ( ( ( ap @ ( ap @ ( c_2Ellist_2ELDROP @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1ll )
% 5.66/5.89 = ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Ellist_2Ellist @ A_27a ) ) @ V2l ) )
% 5.66/5.89 & ( ( surj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ ( ap @ ( c_2Ellist_2ELLENGTH @ A_27a ) @ V1ll ) )
% 5.66/5.89 = ( surj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ ( ap @ ( c_2Eoption_2ESOME @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V3m ) ) ) ) )
% 5.66/5.89 => ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V3m ) ) )
% 5.66/5.89 & ( ( surj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ ( ap @ ( c_2Ellist_2ELLENGTH @ A_27a ) @ V2l ) )
% 5.66/5.89 = ( surj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ ( ap @ ( c_2Eoption_2ESOME @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V3m ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) ) ) ) ) ).
% 5.66/5.89
% 5.66/5.89 thf(conj_thm_2Ellist_2ELFINITE__LNTH__NONE,axiom,
% 5.66/5.89 ! [A_27a: del,V0ll: $i] :
% 5.66/5.89 ( ( mem @ V0ll @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.89 => ( ( p @ ( ap @ ( c_2Ellist_2ELFINITE @ A_27a ) @ V0ll ) )
% 5.66/5.89 <=> ? [V1n: tp__ty_2Enum_2Enum] :
% 5.66/5.89 ( ( ap @ ( ap @ ( c_2Ellist_2ELNTH @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ V0ll )
% 5.66/5.89 = ( c_2Eoption_2ENONE @ A_27a ) ) ) ) ).
% 5.66/5.89
% 5.66/5.89 thf(conj_thm_2Ellist_2Einfinite__lnth__some,axiom,
% 5.66/5.89 ! [A_27a: del,V0ll: $i] :
% 5.66/5.89 ( ( mem @ V0ll @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.89 => ( ~ ( p @ ( ap @ ( c_2Ellist_2ELFINITE @ A_27a ) @ V0ll ) )
% 5.66/5.89 <=> ! [V1n: tp__ty_2Enum_2Enum] :
% 5.66/5.89 ? [V2x: $i] :
% 5.66/5.89 ( ( mem @ V2x @ A_27a )
% 5.66/5.89 & ( ( ap @ ( ap @ ( c_2Ellist_2ELNTH @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ V0ll )
% 5.66/5.89 = ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V2x ) ) ) ) ) ).
% 5.66/5.89
% 5.66/5.89 thf(conj_thm_2Ellist_2ELNTH__LAPPEND,axiom,
% 5.66/5.89 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1l1: $i] :
% 5.66/5.89 ( ( mem @ V1l1 @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.89 => ! [V2l2: $i] :
% 5.66/5.89 ( ( mem @ V2l2 @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.89 => ( ( ap @ ( ap @ ( c_2Ellist_2ELNTH @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( ap @ ( c_2Ellist_2ELAPPEND @ A_27a ) @ V1l1 ) @ V2l2 ) )
% 5.66/5.89 = ( ap @ ( ap @ ( ap @ ( c_2Eoption_2Eoption__CASE @ ty_2Enum_2Enum @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ ( ap @ ( c_2Ellist_2ELLENGTH @ A_27a ) @ V1l1 ) ) @ ( ap @ ( ap @ ( c_2Ellist_2ELNTH @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1l1 ) )
% 5.66/5.89 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.89 @ ^ [V3m: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V3m ) ) @ ( ap @ ( ap @ ( c_2Ellist_2ELNTH @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1l1 ) ) @ ( ap @ ( ap @ ( c_2Ellist_2ELNTH @ A_27a ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V3m ) ) @ V2l2 ) ) ) ) ) ) ) ).
% 5.66/5.89
% 5.66/5.89 thf(conj_thm_2Ellist_2ELNTH__ADD,axiom,
% 5.66/5.89 ! [A_27a: del,V0a: tp__ty_2Enum_2Enum,V1b: tp__ty_2Enum_2Enum,V2ll: $i] :
% 5.66/5.89 ( ( mem @ V2ll @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.89 => ( ( ap @ ( ap @ ( c_2Ellist_2ELNTH @ A_27a ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) ) @ V2ll )
% 5.66/5.89 = ( ap @ ( ap @ ( c_2Eoption_2EOPTION__BIND @ A_27a @ ( ty_2Ellist_2Ellist @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Ellist_2ELDROP @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ V2ll ) ) @ ( ap @ ( c_2Ellist_2ELNTH @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) ) ) ) ).
% 5.66/5.89
% 5.66/5.89 thf(conj_thm_2Ellist_2Elnth__some__down__closed,axiom,
% 5.66/5.89 ! [A_27a: del,V0ll: $i] :
% 5.66/5.89 ( ( mem @ V0ll @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.89 => ! [V1x: $i] :
% 5.66/5.89 ( ( mem @ V1x @ A_27a )
% 5.66/5.89 => ! [V2n1: tp__ty_2Enum_2Enum,V3n2: tp__ty_2Enum_2Enum] :
% 5.66/5.89 ( ( ( ( ap @ ( ap @ ( c_2Ellist_2ELNTH @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V2n1 ) ) @ V0ll )
% 5.66/5.89 = ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V1x ) )
% 5.66/5.89 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V3n2 ) ) @ ( inj__ty_2Enum_2Enum @ V2n1 ) ) ) )
% 5.66/5.89 => ? [V4y: $i] :
% 5.66/5.89 ( ( mem @ V4y @ A_27a )
% 5.66/5.89 & ( ( ap @ ( ap @ ( c_2Ellist_2ELNTH @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V3n2 ) ) @ V0ll )
% 5.66/5.89 = ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V4y ) ) ) ) ) ) ).
% 5.66/5.89
% 5.66/5.89 thf(ax_thm_2Ellist_2Eexists__def,axiom,
% 5.66/5.89 ! [A_27a: del] :
% 5.66/5.89 ( ( c_2Ellist_2Eexists @ A_27a )
% 5.66/5.89 = ( lam @ ( arr @ A_27a @ bool )
% 5.66/5.89 @ ^ [V0P: $i] :
% 5.66/5.89 ( lam @ ( ty_2Ellist_2Ellist @ A_27a )
% 5.66/5.89 @ ^ [V1a0: $i] :
% 5.66/5.89 ( ap @ ( c_2Ebool_2E_21 @ ( arr @ ( ty_2Ellist_2Ellist @ A_27a ) @ bool ) )
% 5.66/5.89 @ ( lam @ ( arr @ ( ty_2Ellist_2Ellist @ A_27a ) @ bool )
% 5.66/5.89 @ ^ [V2exists_27: $i] :
% 5.66/5.89 ( ap
% 5.66/5.89 @ ( ap @ c_2Emin_2E_3D_3D_3E
% 5.66/5.89 @ ( ap @ ( c_2Ebool_2E_21 @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.89 @ ( lam @ ( ty_2Ellist_2Ellist @ A_27a )
% 5.66/5.89 @ ^ [V3a0: $i] :
% 5.66/5.89 ( ap
% 5.66/5.89 @ ( ap @ c_2Emin_2E_3D_3D_3E
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ c_2Ebool_2E_5C_2F
% 5.66/5.90 @ ( ap @ ( c_2Ebool_2E_3F @ A_27a )
% 5.66/5.90 @ ( lam @ A_27a
% 5.66/5.90 @ ^ [V4h: $i] :
% 5.66/5.90 ( ap @ ( c_2Ebool_2E_3F @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.90 @ ( lam @ ( ty_2Ellist_2Ellist @ A_27a )
% 5.66/5.90 @ ^ [V5t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Ellist_2Ellist @ A_27a ) ) @ V3a0 ) @ ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27a ) @ V4h ) @ V5t ) ) ) @ ( ap @ V0P @ V4h ) ) ) ) ) ) )
% 5.66/5.90 @ ( ap @ ( c_2Ebool_2E_3F @ A_27a )
% 5.66/5.90 @ ( lam @ A_27a
% 5.66/5.90 @ ^ [V6h: $i] :
% 5.66/5.90 ( ap @ ( c_2Ebool_2E_3F @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.90 @ ( lam @ ( ty_2Ellist_2Ellist @ A_27a )
% 5.66/5.90 @ ^ [V7t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Ellist_2Ellist @ A_27a ) ) @ V3a0 ) @ ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27a ) @ V6h ) @ V7t ) ) ) @ ( ap @ V2exists_27 @ V7t ) ) ) ) ) ) ) )
% 5.66/5.90 @ ( ap @ V2exists_27 @ V3a0 ) ) ) ) )
% 5.66/5.90 @ ( ap @ V2exists_27 @ V1a0 ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Ellist_2Eexists__rules,axiom,
% 5.66/5.90 ! [A_27a: del,V0P: $i] :
% 5.66/5.90 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.66/5.90 => ( ! [V1h: $i] :
% 5.66/5.90 ( ( mem @ V1h @ A_27a )
% 5.66/5.90 => ! [V2t: $i] :
% 5.66/5.90 ( ( mem @ V2t @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.90 => ( ( p @ ( ap @ V0P @ V1h ) )
% 5.66/5.90 => ( p @ ( ap @ ( ap @ ( c_2Ellist_2Eexists @ A_27a ) @ V0P ) @ ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27a ) @ V1h ) @ V2t ) ) ) ) ) )
% 5.66/5.90 & ! [V3h: $i] :
% 5.66/5.90 ( ( mem @ V3h @ A_27a )
% 5.66/5.90 => ! [V4t: $i] :
% 5.66/5.90 ( ( mem @ V4t @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( c_2Ellist_2Eexists @ A_27a ) @ V0P ) @ V4t ) )
% 5.66/5.90 => ( p @ ( ap @ ( ap @ ( c_2Ellist_2Eexists @ A_27a ) @ V0P ) @ ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27a ) @ V3h ) @ V4t ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Ellist_2Eexists__ind,axiom,
% 5.66/5.90 ! [A_27a: del,V0P: $i] :
% 5.66/5.90 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.66/5.90 => ! [V1exists_27: $i] :
% 5.66/5.90 ( ( mem @ V1exists_27 @ ( arr @ ( ty_2Ellist_2Ellist @ A_27a ) @ bool ) )
% 5.66/5.90 => ( ( ! [V2h: $i] :
% 5.66/5.90 ( ( mem @ V2h @ A_27a )
% 5.66/5.90 => ! [V3t: $i] :
% 5.66/5.90 ( ( mem @ V3t @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.90 => ( ( p @ ( ap @ V0P @ V2h ) )
% 5.66/5.90 => ( p @ ( ap @ V1exists_27 @ ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27a ) @ V2h ) @ V3t ) ) ) ) ) )
% 5.66/5.90 & ! [V4h: $i] :
% 5.66/5.90 ( ( mem @ V4h @ A_27a )
% 5.66/5.90 => ! [V5t: $i] :
% 5.66/5.90 ( ( mem @ V5t @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.90 => ( ( p @ ( ap @ V1exists_27 @ V5t ) )
% 5.66/5.90 => ( p @ ( ap @ V1exists_27 @ ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27a ) @ V4h ) @ V5t ) ) ) ) ) ) )
% 5.66/5.90 => ! [V6a0: $i] :
% 5.66/5.90 ( ( mem @ V6a0 @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( c_2Ellist_2Eexists @ A_27a ) @ V0P ) @ V6a0 ) )
% 5.66/5.90 => ( p @ ( ap @ V1exists_27 @ V6a0 ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Ellist_2Eexists__strongind,axiom,
% 5.66/5.90 ! [A_27a: del,V0P: $i] :
% 5.66/5.90 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.66/5.90 => ! [V1exists_27: $i] :
% 5.66/5.90 ( ( mem @ V1exists_27 @ ( arr @ ( ty_2Ellist_2Ellist @ A_27a ) @ bool ) )
% 5.66/5.90 => ( ( ! [V2h: $i] :
% 5.66/5.90 ( ( mem @ V2h @ A_27a )
% 5.66/5.90 => ! [V3t: $i] :
% 5.66/5.90 ( ( mem @ V3t @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.90 => ( ( p @ ( ap @ V0P @ V2h ) )
% 5.66/5.90 => ( p @ ( ap @ V1exists_27 @ ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27a ) @ V2h ) @ V3t ) ) ) ) ) )
% 5.66/5.90 & ! [V4h: $i] :
% 5.66/5.90 ( ( mem @ V4h @ A_27a )
% 5.66/5.90 => ! [V5t: $i] :
% 5.66/5.90 ( ( mem @ V5t @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.90 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ellist_2Eexists @ A_27a ) @ V0P ) @ V5t ) )
% 5.66/5.90 & ( p @ ( ap @ V1exists_27 @ V5t ) ) )
% 5.66/5.90 => ( p @ ( ap @ V1exists_27 @ ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27a ) @ V4h ) @ V5t ) ) ) ) ) ) )
% 5.66/5.90 => ! [V6a0: $i] :
% 5.66/5.90 ( ( mem @ V6a0 @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( c_2Ellist_2Eexists @ A_27a ) @ V0P ) @ V6a0 ) )
% 5.66/5.90 => ( p @ ( ap @ V1exists_27 @ V6a0 ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Ellist_2Eexists__cases,axiom,
% 5.66/5.90 ! [A_27a: del,V0P: $i] :
% 5.66/5.90 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.66/5.90 => ! [V1a0: $i] :
% 5.66/5.90 ( ( mem @ V1a0 @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( c_2Ellist_2Eexists @ A_27a ) @ V0P ) @ V1a0 ) )
% 5.66/5.90 <=> ( ? [V2h: $i] :
% 5.66/5.90 ( ( mem @ V2h @ A_27a )
% 5.66/5.90 & ? [V3t: $i] :
% 5.66/5.90 ( ( mem @ V3t @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.90 & ( V1a0
% 5.66/5.90 = ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27a ) @ V2h ) @ V3t ) )
% 5.66/5.90 & ( p @ ( ap @ V0P @ V2h ) ) ) )
% 5.66/5.90 | ? [V4h: $i] :
% 5.66/5.90 ( ( mem @ V4h @ A_27a )
% 5.66/5.90 & ? [V5t: $i] :
% 5.66/5.90 ( ( mem @ V5t @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.90 & ( V1a0
% 5.66/5.90 = ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27a ) @ V4h ) @ V5t ) )
% 5.66/5.90 & ( p @ ( ap @ ( ap @ ( c_2Ellist_2Eexists @ A_27a ) @ V0P ) @ V5t ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Ellist_2Eexists__thm,axiom,
% 5.66/5.90 ! [A_27a: del,V0P: $i] :
% 5.66/5.90 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.66/5.90 => ! [V1h: $i] :
% 5.66/5.90 ( ( mem @ V1h @ A_27a )
% 5.66/5.90 => ! [V2t: $i] :
% 5.66/5.90 ( ( mem @ V2t @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.90 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ellist_2Eexists @ A_27a ) @ V0P ) @ ( c_2Ellist_2ELNIL @ A_27a ) ) )
% 5.66/5.90 <=> $false )
% 5.66/5.90 & ( ( p @ ( ap @ ( ap @ ( c_2Ellist_2Eexists @ A_27a ) @ V0P ) @ ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27a ) @ V1h ) @ V2t ) ) )
% 5.66/5.90 <=> ( ( p @ ( ap @ V0P @ V1h ) )
% 5.66/5.90 | ( p @ ( ap @ ( ap @ ( c_2Ellist_2Eexists @ A_27a ) @ V0P ) @ V2t ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Ellist_2Eexists__LNTH,axiom,
% 5.66/5.90 ! [A_27a: del,V0P: $i] :
% 5.66/5.90 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.66/5.90 => ! [V1l: $i] :
% 5.66/5.90 ( ( mem @ V1l @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( c_2Ellist_2Eexists @ A_27a ) @ V0P ) @ V1l ) )
% 5.66/5.90 <=> ? [V2n: tp__ty_2Enum_2Enum,V3e: $i] :
% 5.66/5.90 ( ( mem @ V3e @ A_27a )
% 5.66/5.90 & ( ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V3e )
% 5.66/5.90 = ( ap @ ( ap @ ( c_2Ellist_2ELNTH @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ V1l ) )
% 5.66/5.90 & ( p @ ( ap @ V0P @ V3e ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Ellist_2EMONO__exists,axiom,
% 5.66/5.90 ! [A_27a: del,V0P: $i] :
% 5.66/5.90 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.66/5.90 => ! [V1Q: $i] :
% 5.66/5.90 ( ( mem @ V1Q @ ( arr @ A_27a @ bool ) )
% 5.66/5.90 => ! [V2l: $i] :
% 5.66/5.90 ( ( mem @ V2l @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.90 => ( ! [V3x: $i] :
% 5.66/5.90 ( ( mem @ V3x @ A_27a )
% 5.66/5.90 => ( ( p @ ( ap @ V0P @ V3x ) )
% 5.66/5.90 => ( p @ ( ap @ V1Q @ V3x ) ) ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( c_2Ellist_2Eexists @ A_27a ) @ V0P ) @ V2l ) )
% 5.66/5.90 => ( p @ ( ap @ ( ap @ ( c_2Ellist_2Eexists @ A_27a ) @ V1Q ) @ V2l ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Ellist_2Eexists__strong__ind,axiom,
% 5.66/5.90 ! [A_27a: del,V0P: $i] :
% 5.66/5.90 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.66/5.90 => ! [V1Q: $i] :
% 5.66/5.90 ( ( mem @ V1Q @ ( arr @ ( ty_2Ellist_2Ellist @ A_27a ) @ bool ) )
% 5.66/5.90 => ( ( ! [V2h: $i] :
% 5.66/5.90 ( ( mem @ V2h @ A_27a )
% 5.66/5.90 => ! [V3t: $i] :
% 5.66/5.90 ( ( mem @ V3t @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.90 => ( ( p @ ( ap @ V0P @ V2h ) )
% 5.66/5.90 => ( p @ ( ap @ V1Q @ ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27a ) @ V2h ) @ V3t ) ) ) ) ) )
% 5.66/5.90 & ! [V4h: $i] :
% 5.66/5.90 ( ( mem @ V4h @ A_27a )
% 5.66/5.90 => ! [V5t: $i] :
% 5.66/5.90 ( ( mem @ V5t @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.90 => ( ( ( p @ ( ap @ V1Q @ V5t ) )
% 5.66/5.90 & ( p @ ( ap @ ( ap @ ( c_2Ellist_2Eexists @ A_27a ) @ V0P ) @ V5t ) ) )
% 5.66/5.90 => ( p @ ( ap @ V1Q @ ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27a ) @ V4h ) @ V5t ) ) ) ) ) ) )
% 5.66/5.90 => ! [V6a0: $i] :
% 5.66/5.90 ( ( mem @ V6a0 @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( c_2Ellist_2Eexists @ A_27a ) @ V0P ) @ V6a0 ) )
% 5.66/5.90 => ( p @ ( ap @ V1Q @ V6a0 ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Ellist_2Eexists__LDROP,axiom,
% 5.66/5.90 ! [A_27a: del,V0P: $i] :
% 5.66/5.90 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.66/5.90 => ! [V1ll: $i] :
% 5.66/5.90 ( ( mem @ V1ll @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( c_2Ellist_2Eexists @ A_27a ) @ V0P ) @ V1ll ) )
% 5.66/5.90 <=> ? [V2n: tp__ty_2Enum_2Enum,V3a: $i] :
% 5.66/5.90 ( ( mem @ V3a @ A_27a )
% 5.66/5.90 & ? [V4t: $i] :
% 5.66/5.90 ( ( mem @ V4t @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.90 & ( ( ap @ ( ap @ ( c_2Ellist_2ELDROP @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ V1ll )
% 5.66/5.90 = ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Ellist_2Ellist @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27a ) @ V3a ) @ V4t ) ) )
% 5.66/5.90 & ( p @ ( ap @ V0P @ V3a ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(ax_thm_2Ellist_2Eevery__def,axiom,
% 5.66/5.90 ! [A_27a: del,V0P: $i] :
% 5.66/5.90 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.66/5.90 => ! [V1ll: $i] :
% 5.66/5.90 ( ( mem @ V1ll @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( c_2Ellist_2Eevery @ A_27a ) @ V0P ) @ V1ll ) )
% 5.66/5.90 <=> ~ ( p @ ( ap @ ( ap @ ( c_2Ellist_2Eexists @ A_27a ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27a @ bool @ bool ) @ c_2Ebool_2E_7E ) @ V0P ) ) @ V1ll ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Ellist_2Eevery__coind,axiom,
% 5.66/5.90 ! [A_27a: del,V0P: $i] :
% 5.66/5.90 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.66/5.90 => ! [V1Q: $i] :
% 5.66/5.90 ( ( mem @ V1Q @ ( arr @ ( ty_2Ellist_2Ellist @ A_27a ) @ bool ) )
% 5.66/5.90 => ( ! [V2h: $i] :
% 5.66/5.90 ( ( mem @ V2h @ A_27a )
% 5.66/5.90 => ! [V3t: $i] :
% 5.66/5.90 ( ( mem @ V3t @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.90 => ( ( p @ ( ap @ V1Q @ ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27a ) @ V2h ) @ V3t ) ) )
% 5.66/5.90 => ( ( p @ ( ap @ V0P @ V2h ) )
% 5.66/5.90 & ( p @ ( ap @ V1Q @ V3t ) ) ) ) ) )
% 5.66/5.90 => ! [V4ll: $i] :
% 5.66/5.90 ( ( mem @ V4ll @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.90 => ( ( p @ ( ap @ V1Q @ V4ll ) )
% 5.66/5.90 => ( p @ ( ap @ ( ap @ ( c_2Ellist_2Eevery @ A_27a ) @ V0P ) @ V4ll ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Ellist_2Eevery__thm,axiom,
% 5.66/5.90 ! [A_27a: del,V0P: $i] :
% 5.66/5.90 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.66/5.90 => ! [V1h: $i] :
% 5.66/5.90 ( ( mem @ V1h @ A_27a )
% 5.66/5.90 => ! [V2t: $i] :
% 5.66/5.90 ( ( mem @ V2t @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.90 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ellist_2Eevery @ A_27a ) @ V0P ) @ ( c_2Ellist_2ELNIL @ A_27a ) ) )
% 5.66/5.90 <=> $true )
% 5.66/5.90 & ( ( p @ ( ap @ ( ap @ ( c_2Ellist_2Eevery @ A_27a ) @ V0P ) @ ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27a ) @ V1h ) @ V2t ) ) )
% 5.66/5.90 <=> ( ( p @ ( ap @ V0P @ V1h ) )
% 5.66/5.90 & ( p @ ( ap @ ( ap @ ( c_2Ellist_2Eevery @ A_27a ) @ V0P ) @ V2t ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Ellist_2ELL__ALL__THM,axiom,
% 5.66/5.90 ! [A_27a: del,V0P: $i] :
% 5.66/5.90 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.66/5.90 => ! [V1h: $i] :
% 5.66/5.90 ( ( mem @ V1h @ A_27a )
% 5.66/5.90 => ! [V2t: $i] :
% 5.66/5.90 ( ( mem @ V2t @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.90 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ellist_2Eevery @ A_27a ) @ V0P ) @ ( c_2Ellist_2ELNIL @ A_27a ) ) )
% 5.66/5.90 <=> $true )
% 5.66/5.90 & ( ( p @ ( ap @ ( ap @ ( c_2Ellist_2Eevery @ A_27a ) @ V0P ) @ ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27a ) @ V1h ) @ V2t ) ) )
% 5.66/5.90 <=> ( ( p @ ( ap @ V0P @ V1h ) )
% 5.66/5.90 & ( p @ ( ap @ ( ap @ ( c_2Ellist_2Eevery @ A_27a ) @ V0P ) @ V2t ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Ellist_2EMONO__every,axiom,
% 5.66/5.90 ! [A_27a: del,V0P: $i] :
% 5.66/5.90 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.66/5.90 => ! [V1Q: $i] :
% 5.66/5.90 ( ( mem @ V1Q @ ( arr @ A_27a @ bool ) )
% 5.66/5.90 => ! [V2l: $i] :
% 5.66/5.90 ( ( mem @ V2l @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.90 => ( ! [V3x: $i] :
% 5.66/5.90 ( ( mem @ V3x @ A_27a )
% 5.66/5.90 => ( ( p @ ( ap @ V0P @ V3x ) )
% 5.66/5.90 => ( p @ ( ap @ V1Q @ V3x ) ) ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( c_2Ellist_2Eevery @ A_27a ) @ V0P ) @ V2l ) )
% 5.66/5.90 => ( p @ ( ap @ ( ap @ ( c_2Ellist_2Eevery @ A_27a ) @ V1Q ) @ V2l ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Ellist_2Eevery__strong__coind,axiom,
% 5.66/5.90 ! [A_27a: del,V0P: $i] :
% 5.66/5.90 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.66/5.90 => ! [V1Q: $i] :
% 5.66/5.90 ( ( mem @ V1Q @ ( arr @ ( ty_2Ellist_2Ellist @ A_27a ) @ bool ) )
% 5.66/5.90 => ( ( ! [V2h: $i] :
% 5.66/5.90 ( ( mem @ V2h @ A_27a )
% 5.66/5.90 => ! [V3t: $i] :
% 5.66/5.90 ( ( mem @ V3t @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.90 => ( ( p @ ( ap @ V1Q @ ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27a ) @ V2h ) @ V3t ) ) )
% 5.66/5.90 => ( p @ ( ap @ V0P @ V2h ) ) ) ) )
% 5.66/5.90 & ! [V4h: $i] :
% 5.66/5.90 ( ( mem @ V4h @ A_27a )
% 5.66/5.90 => ! [V5t: $i] :
% 5.66/5.90 ( ( mem @ V5t @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.90 => ( ( p @ ( ap @ V1Q @ ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27a ) @ V4h ) @ V5t ) ) )
% 5.66/5.90 => ( ( p @ ( ap @ V1Q @ V5t ) )
% 5.66/5.90 | ( p @ ( ap @ ( ap @ ( c_2Ellist_2Eevery @ A_27a ) @ V0P ) @ V5t ) ) ) ) ) ) )
% 5.66/5.90 => ! [V6ll: $i] :
% 5.66/5.90 ( ( mem @ V6ll @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.90 => ( ( p @ ( ap @ V1Q @ V6ll ) )
% 5.66/5.90 => ( p @ ( ap @ ( ap @ ( c_2Ellist_2Eevery @ A_27a ) @ V0P ) @ V6ll ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(ax_thm_2Ellist_2ELFILTER,axiom,
% 5.66/5.90 ! [A_27a: del,V0P: $i] :
% 5.66/5.90 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.66/5.90 => ! [V1ll: $i] :
% 5.66/5.90 ( ( mem @ V1ll @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.90 => ( ( ap @ ( ap @ ( c_2Ellist_2ELFILTER @ A_27a ) @ V0P ) @ V1ll )
% 5.66/5.90 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Ellist_2Ellist @ A_27a ) ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ ( ap @ ( c_2Ellist_2Eexists @ A_27a ) @ V0P ) @ V1ll ) ) ) @ ( c_2Ellist_2ELNIL @ A_27a ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Ellist_2Ellist @ A_27a ) ) @ ( ap @ V0P @ ( ap @ ( c_2Eoption_2ETHE @ A_27a ) @ ( ap @ ( c_2Ellist_2ELHD @ A_27a ) @ V1ll ) ) ) ) @ ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27a ) @ ( ap @ ( c_2Eoption_2ETHE @ A_27a ) @ ( ap @ ( c_2Ellist_2ELHD @ A_27a ) @ V1ll ) ) ) @ ( ap @ ( ap @ ( c_2Ellist_2ELFILTER @ A_27a ) @ V0P ) @ ( ap @ ( c_2Eoption_2ETHE @ ( ty_2Ellist_2Ellist @ A_27a ) ) @ ( ap @ ( c_2Ellist_2ELTL @ A_27a ) @ V1ll ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Ellist_2ELFILTER @ A_27a ) @ V0P ) @ ( ap @ ( c_2Eoption_2ETHE @ ( ty_2Ellist_2Ellist @ A_27a ) ) @ ( ap @ ( c_2Ellist_2ELTL @ A_27a ) @ V1ll ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Ellist_2ELFILTER__THM,axiom,
% 5.66/5.90 ! [A_27a: del,A_27b: del] :
% 5.66/5.90 ( ! [V0P: $i] :
% 5.66/5.90 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.66/5.90 => ( ( ap @ ( ap @ ( c_2Ellist_2ELFILTER @ A_27a ) @ V0P ) @ ( c_2Ellist_2ELNIL @ A_27a ) )
% 5.66/5.90 = ( c_2Ellist_2ELNIL @ A_27a ) ) )
% 5.66/5.90 & ! [V1P: $i] :
% 5.66/5.90 ( ( mem @ V1P @ ( arr @ A_27b @ bool ) )
% 5.66/5.90 => ! [V2h: $i] :
% 5.66/5.90 ( ( mem @ V2h @ A_27b )
% 5.66/5.90 => ! [V3t: $i] :
% 5.66/5.90 ( ( mem @ V3t @ ( ty_2Ellist_2Ellist @ A_27b ) )
% 5.66/5.90 => ( ( ap @ ( ap @ ( c_2Ellist_2ELFILTER @ A_27b ) @ V1P ) @ ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27b ) @ V2h ) @ V3t ) )
% 5.66/5.90 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Ellist_2Ellist @ A_27b ) ) @ ( ap @ V1P @ V2h ) ) @ ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27b ) @ V2h ) @ ( ap @ ( ap @ ( c_2Ellist_2ELFILTER @ A_27b ) @ V1P ) @ V3t ) ) ) @ ( ap @ ( ap @ ( c_2Ellist_2ELFILTER @ A_27b ) @ V1P ) @ V3t ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Ellist_2ELFILTER__NIL,axiom,
% 5.66/5.90 ! [A_27a: del,V0P: $i] :
% 5.66/5.90 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.66/5.90 => ! [V1ll: $i] :
% 5.66/5.90 ( ( mem @ V1ll @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( c_2Ellist_2Eevery @ A_27a ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27a @ bool @ bool ) @ c_2Ebool_2E_7E ) @ V0P ) ) @ V1ll ) )
% 5.66/5.90 => ( ( ap @ ( ap @ ( c_2Ellist_2ELFILTER @ A_27a ) @ V0P ) @ V1ll )
% 5.66/5.90 = ( c_2Ellist_2ELNIL @ A_27a ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Ellist_2ELFILTER__EQ__NIL,axiom,
% 5.66/5.90 ! [A_27a: del,V0P: $i] :
% 5.66/5.90 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.66/5.90 => ! [V1ll: $i] :
% 5.66/5.90 ( ( mem @ V1ll @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.90 => ( ( ( ap @ ( ap @ ( c_2Ellist_2ELFILTER @ A_27a ) @ V0P ) @ V1ll )
% 5.66/5.90 = ( c_2Ellist_2ELNIL @ A_27a ) )
% 5.66/5.90 <=> ( p @ ( ap @ ( ap @ ( c_2Ellist_2Eevery @ A_27a ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27a @ bool @ bool ) @ c_2Ebool_2E_7E ) @ V0P ) ) @ V1ll ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Ellist_2ELFILTER__APPEND,axiom,
% 5.66/5.90 ! [A_27a: del,V0P: $i] :
% 5.66/5.90 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.66/5.90 => ! [V1ll1: $i] :
% 5.66/5.90 ( ( mem @ V1ll1 @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.90 => ! [V2ll2: $i] :
% 5.66/5.90 ( ( mem @ V2ll2 @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( c_2Ellist_2ELFINITE @ A_27a ) @ V1ll1 ) )
% 5.66/5.90 => ( ( ap @ ( ap @ ( c_2Ellist_2ELFILTER @ A_27a ) @ V0P ) @ ( ap @ ( ap @ ( c_2Ellist_2ELAPPEND @ A_27a ) @ V1ll1 ) @ V2ll2 ) )
% 5.66/5.90 = ( ap @ ( ap @ ( c_2Ellist_2ELAPPEND @ A_27a ) @ ( ap @ ( ap @ ( c_2Ellist_2ELFILTER @ A_27a ) @ V0P ) @ V1ll1 ) ) @ ( ap @ ( ap @ ( c_2Ellist_2ELFILTER @ A_27a ) @ V0P ) @ V2ll2 ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(ax_thm_2Ellist_2ELFLATTEN,axiom,
% 5.66/5.90 ! [A_27a: del,V0ll: $i] :
% 5.66/5.90 ( ( mem @ V0ll @ ( ty_2Ellist_2Ellist @ ( ty_2Ellist_2Ellist @ A_27a ) ) )
% 5.66/5.90 => ( ( ap @ ( c_2Ellist_2ELFLATTEN @ A_27a ) @ V0ll )
% 5.66/5.90 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Ellist_2Ellist @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Ellist_2Eevery @ ( ty_2Ellist_2Ellist @ A_27a ) ) @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Ellist_2Ellist @ A_27a ) ) @ ( c_2Ellist_2ELNIL @ A_27a ) ) ) @ V0ll ) ) @ ( c_2Ellist_2ELNIL @ A_27a ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Ellist_2Ellist @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Ellist_2Ellist @ A_27a ) ) @ ( ap @ ( c_2Eoption_2ETHE @ ( ty_2Ellist_2Ellist @ A_27a ) ) @ ( ap @ ( c_2Ellist_2ELHD @ ( ty_2Ellist_2Ellist @ A_27a ) ) @ V0ll ) ) ) @ ( c_2Ellist_2ELNIL @ A_27a ) ) ) @ ( ap @ ( c_2Ellist_2ELFLATTEN @ A_27a ) @ ( ap @ ( c_2Eoption_2ETHE @ ( ty_2Ellist_2Ellist @ ( ty_2Ellist_2Ellist @ A_27a ) ) ) @ ( ap @ ( c_2Ellist_2ELTL @ ( ty_2Ellist_2Ellist @ A_27a ) ) @ V0ll ) ) ) ) @ ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27a ) @ ( ap @ ( c_2Eoption_2ETHE @ A_27a ) @ ( ap @ ( c_2Ellist_2ELHD @ A_27a ) @ ( ap @ ( c_2Eoption_2ETHE @ ( ty_2Ellist_2Ellist @ A_27a ) ) @ ( ap @ ( c_2Ellist_2ELHD @ ( ty_2Ellist_2Ellist @ A_27a ) ) @ V0ll ) ) ) ) ) @ ( ap @ ( c_2Ellist_2ELFLATTEN @ A_27a ) @ ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ ( ty_2Ellist_2Ellist @ A_27a ) ) @ ( ap @ ( c_2Eoption_2ETHE @ ( ty_2Ellist_2Ellist @ A_27a ) ) @ ( ap @ ( c_2Ellist_2ELTL @ A_27a ) @ ( ap @ ( c_2Eoption_2ETHE @ ( ty_2Ellist_2Ellist @ A_27a ) ) @ ( ap @ ( c_2Ellist_2ELHD @ ( ty_2Ellist_2Ellist @ A_27a ) ) @ V0ll ) ) ) ) ) @ ( ap @ ( c_2Eoption_2ETHE @ ( ty_2Ellist_2Ellist @ ( ty_2Ellist_2Ellist @ A_27a ) ) ) @ ( ap @ ( c_2Ellist_2ELTL @ ( ty_2Ellist_2Ellist @ A_27a ) ) @ V0ll ) ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Ellist_2ELFLATTEN__THM,axiom,
% 5.66/5.90 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0t: $i] :
% 5.66/5.90 ( ( mem @ V0t @ ( ty_2Ellist_2Ellist @ ( ty_2Ellist_2Ellist @ A_27c ) ) )
% 5.66/5.90 => ( ( ( ap @ ( c_2Ellist_2ELFLATTEN @ A_27a ) @ ( c_2Ellist_2ELNIL @ ( ty_2Ellist_2Ellist @ A_27a ) ) )
% 5.66/5.90 = ( c_2Ellist_2ELNIL @ A_27a ) )
% 5.66/5.90 & ! [V1tl: $i] :
% 5.66/5.90 ( ( mem @ V1tl @ A_27b )
% 5.66/5.90 => ( ( ap @ ( c_2Ellist_2ELFLATTEN @ A_27c ) @ ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ ( ty_2Ellist_2Ellist @ A_27c ) ) @ ( c_2Ellist_2ELNIL @ A_27c ) ) @ V0t ) )
% 5.66/5.90 = ( ap @ ( c_2Ellist_2ELFLATTEN @ A_27c ) @ V0t ) ) )
% 5.66/5.90 & ! [V2h: $i] :
% 5.66/5.90 ( ( mem @ V2h @ A_27d )
% 5.66/5.90 => ! [V3t: $i] :
% 5.66/5.90 ( ( mem @ V3t @ ( ty_2Ellist_2Ellist @ A_27d ) )
% 5.66/5.90 => ! [V4tl: $i] :
% 5.66/5.90 ( ( mem @ V4tl @ ( ty_2Ellist_2Ellist @ ( ty_2Ellist_2Ellist @ A_27d ) ) )
% 5.66/5.90 => ( ( ap @ ( c_2Ellist_2ELFLATTEN @ A_27d ) @ ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ ( ty_2Ellist_2Ellist @ A_27d ) ) @ ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27d ) @ V2h ) @ V3t ) ) @ V4tl ) )
% 5.66/5.90 = ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27d ) @ V2h ) @ ( ap @ ( c_2Ellist_2ELFLATTEN @ A_27d ) @ ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ ( ty_2Ellist_2Ellist @ A_27d ) ) @ V3t ) @ V4tl ) ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Ellist_2ELFLATTEN__APPEND,axiom,
% 5.66/5.90 ! [A_27a: del,V0h: $i] :
% 5.66/5.90 ( ( mem @ V0h @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.90 => ! [V1t: $i] :
% 5.66/5.90 ( ( mem @ V1t @ ( ty_2Ellist_2Ellist @ ( ty_2Ellist_2Ellist @ A_27a ) ) )
% 5.66/5.90 => ( ( ap @ ( c_2Ellist_2ELFLATTEN @ A_27a ) @ ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ ( ty_2Ellist_2Ellist @ A_27a ) ) @ V0h ) @ V1t ) )
% 5.66/5.90 = ( ap @ ( ap @ ( c_2Ellist_2ELAPPEND @ A_27a ) @ V0h ) @ ( ap @ ( c_2Ellist_2ELFLATTEN @ A_27a ) @ V1t ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Ellist_2ELFLATTEN__EQ__NIL,axiom,
% 5.66/5.90 ! [A_27a: del,V0ll: $i] :
% 5.66/5.90 ( ( mem @ V0ll @ ( ty_2Ellist_2Ellist @ ( ty_2Ellist_2Ellist @ A_27a ) ) )
% 5.66/5.90 => ( ( ( ap @ ( c_2Ellist_2ELFLATTEN @ A_27a ) @ V0ll )
% 5.66/5.90 = ( c_2Ellist_2ELNIL @ A_27a ) )
% 5.66/5.90 <=> ( p @ ( ap @ ( ap @ ( c_2Ellist_2Eevery @ ( ty_2Ellist_2Ellist @ A_27a ) ) @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Ellist_2Ellist @ A_27a ) ) @ ( c_2Ellist_2ELNIL @ A_27a ) ) ) @ V0ll ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Ellist_2ELFLATTEN__SINGLETON,axiom,
% 5.66/5.90 ! [A_27a: del,V0h: $i] :
% 5.66/5.90 ( ( mem @ V0h @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.90 => ( ( ap @ ( c_2Ellist_2ELFLATTEN @ A_27a ) @ ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ ( ty_2Ellist_2Ellist @ A_27a ) ) @ V0h ) @ ( c_2Ellist_2ELNIL @ ( ty_2Ellist_2Ellist @ A_27a ) ) ) )
% 5.66/5.90 = V0h ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(ax_thm_2Ellist_2ELZIP__THM,axiom,
% 5.66/5.90 ! [A_27a: del,A_27b: del] :
% 5.66/5.90 ( ! [V0l1: $i] :
% 5.66/5.90 ( ( mem @ V0l1 @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.90 => ( ( ap @ ( c_2Ellist_2ELZIP @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Ellist_2Ellist @ A_27a ) @ ( ty_2Ellist_2Ellist @ A_27b ) ) @ V0l1 ) @ ( c_2Ellist_2ELNIL @ A_27b ) ) )
% 5.66/5.90 = ( c_2Ellist_2ELNIL @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) ) )
% 5.66/5.90 & ! [V1l2: $i] :
% 5.66/5.90 ( ( mem @ V1l2 @ ( ty_2Ellist_2Ellist @ A_27b ) )
% 5.66/5.90 => ( ( ap @ ( c_2Ellist_2ELZIP @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Ellist_2Ellist @ A_27a ) @ ( ty_2Ellist_2Ellist @ A_27b ) ) @ ( c_2Ellist_2ELNIL @ A_27a ) ) @ V1l2 ) )
% 5.66/5.90 = ( c_2Ellist_2ELNIL @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) ) )
% 5.66/5.90 & ! [V2h1: $i] :
% 5.66/5.90 ( ( mem @ V2h1 @ A_27a )
% 5.66/5.90 => ! [V3h2: $i] :
% 5.66/5.90 ( ( mem @ V3h2 @ A_27b )
% 5.66/5.90 => ! [V4t1: $i] :
% 5.66/5.90 ( ( mem @ V4t1 @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.90 => ! [V5t2: $i] :
% 5.66/5.90 ( ( mem @ V5t2 @ ( ty_2Ellist_2Ellist @ A_27b ) )
% 5.66/5.90 => ( ( ap @ ( c_2Ellist_2ELZIP @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Ellist_2Ellist @ A_27a ) @ ( ty_2Ellist_2Ellist @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27a ) @ V2h1 ) @ V4t1 ) ) @ ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27b ) @ V3h2 ) @ V5t2 ) ) )
% 5.66/5.90 = ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V2h1 ) @ V3h2 ) ) @ ( ap @ ( c_2Ellist_2ELZIP @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Ellist_2Ellist @ A_27a ) @ ( ty_2Ellist_2Ellist @ A_27b ) ) @ V4t1 ) @ V5t2 ) ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(ax_thm_2Ellist_2ELUNZIP__THM,axiom,
% 5.66/5.90 ! [A_27a: del,A_27b: del] :
% 5.66/5.90 ( ( ( ap @ ( c_2Ellist_2ELUNZIP @ A_27a @ A_27b ) @ ( c_2Ellist_2ELNIL @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) )
% 5.66/5.90 = ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Ellist_2Ellist @ A_27a ) @ ( ty_2Ellist_2Ellist @ A_27b ) ) @ ( c_2Ellist_2ELNIL @ A_27a ) ) @ ( c_2Ellist_2ELNIL @ A_27b ) ) )
% 5.66/5.90 & ! [V0x: $i] :
% 5.66/5.90 ( ( mem @ V0x @ A_27a )
% 5.66/5.90 => ! [V1y: $i] :
% 5.66/5.90 ( ( mem @ V1y @ A_27b )
% 5.66/5.90 => ! [V2t: $i] :
% 5.66/5.90 ( ( mem @ V2t @ ( ty_2Ellist_2Ellist @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) )
% 5.66/5.90 => ( ( ap @ ( c_2Ellist_2ELUNZIP @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V0x ) @ V1y ) ) @ V2t ) )
% 5.66/5.90 = ( ap
% 5.66/5.90 @ ( ap @ ( c_2Ebool_2ELET @ ( ty_2Epair_2Eprod @ ( ty_2Ellist_2Ellist @ A_27a ) @ ( ty_2Ellist_2Ellist @ A_27b ) ) @ ( ty_2Epair_2Eprod @ ( ty_2Ellist_2Ellist @ A_27a ) @ ( ty_2Ellist_2Ellist @ A_27b ) ) )
% 5.66/5.90 @ ( ap @ ( c_2Epair_2EUNCURRY @ ( ty_2Ellist_2Ellist @ A_27a ) @ ( ty_2Ellist_2Ellist @ A_27b ) @ ( ty_2Epair_2Eprod @ ( ty_2Ellist_2Ellist @ A_27a ) @ ( ty_2Ellist_2Ellist @ A_27b ) ) )
% 5.66/5.90 @ ( lam @ ( ty_2Ellist_2Ellist @ A_27a )
% 5.66/5.90 @ ^ [V3ll1: $i] :
% 5.66/5.90 ( lam @ ( ty_2Ellist_2Ellist @ A_27b )
% 5.66/5.90 @ ^ [V4ll2: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Ellist_2Ellist @ A_27a ) @ ( ty_2Ellist_2Ellist @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27a ) @ V0x ) @ V3ll1 ) ) @ ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27b ) @ V1y ) @ V4ll2 ) ) ) ) ) )
% 5.66/5.90 @ ( ap @ ( c_2Ellist_2ELUNZIP @ A_27a @ A_27b ) @ V2t ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Ellist_2ELZIP__LUNZIP,axiom,
% 5.66/5.90 ! [A_27a: del,A_27b: del,V0ll: $i] :
% 5.66/5.90 ( ( mem @ V0ll @ ( ty_2Ellist_2Ellist @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) )
% 5.66/5.90 => ( ( ap @ ( c_2Ellist_2ELZIP @ A_27a @ A_27b ) @ ( ap @ ( c_2Ellist_2ELUNZIP @ A_27a @ A_27b ) @ V0ll ) )
% 5.66/5.90 = V0ll ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Ellist_2ELUNFOLD__THM,axiom,
% 5.66/5.90 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.90 ( ( mem @ V0f @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) ) )
% 5.66/5.90 => ! [V1x: $i] :
% 5.66/5.90 ( ( mem @ V1x @ A_27a )
% 5.66/5.90 => ! [V2v1: $i] :
% 5.66/5.90 ( ( mem @ V2v1 @ A_27a )
% 5.66/5.90 => ! [V3v2: $i] :
% 5.66/5.90 ( ( mem @ V3v2 @ A_27b )
% 5.66/5.90 => ( ( ( ( ap @ V0f @ V1x )
% 5.66/5.90 = ( c_2Eoption_2ENONE @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) )
% 5.66/5.90 => ( ( ap @ ( ap @ ( c_2Ellist_2ELUNFOLD @ A_27b @ A_27a ) @ V0f ) @ V1x )
% 5.66/5.90 = ( c_2Ellist_2ELNIL @ A_27b ) ) )
% 5.66/5.90 & ( ( ( ap @ V0f @ V1x )
% 5.66/5.90 = ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V2v1 ) @ V3v2 ) ) )
% 5.66/5.90 => ( ( ap @ ( ap @ ( c_2Ellist_2ELUNFOLD @ A_27b @ A_27a ) @ V0f ) @ V1x )
% 5.66/5.90 = ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27b ) @ V3v2 ) @ ( ap @ ( ap @ ( c_2Ellist_2ELUNFOLD @ A_27b @ A_27a ) @ V0f ) @ V2v1 ) ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Ellist_2ELLIST__EQ,axiom,
% 5.66/5.90 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.90 ( ( mem @ V0f @ ( arr @ A_27a @ ( ty_2Ellist_2Ellist @ A_27b ) ) )
% 5.66/5.90 => ! [V1g: $i] :
% 5.66/5.90 ( ( mem @ V1g @ ( arr @ A_27a @ ( ty_2Ellist_2Ellist @ A_27b ) ) )
% 5.66/5.90 => ( ! [V2x: $i] :
% 5.66/5.90 ( ( mem @ V2x @ A_27a )
% 5.66/5.90 => ( ( ( ( ap @ V0f @ V2x )
% 5.66/5.90 = ( c_2Ellist_2ELNIL @ A_27b ) )
% 5.66/5.90 & ( ( ap @ V1g @ V2x )
% 5.66/5.90 = ( c_2Ellist_2ELNIL @ A_27b ) ) )
% 5.66/5.90 | ? [V3h: $i] :
% 5.66/5.90 ( ( mem @ V3h @ A_27b )
% 5.66/5.90 & ? [V4y: $i] :
% 5.66/5.90 ( ( mem @ V4y @ A_27a )
% 5.66/5.90 & ( ( ap @ V0f @ V2x )
% 5.66/5.90 = ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27b ) @ V3h ) @ ( ap @ V0f @ V4y ) ) )
% 5.66/5.90 & ( ( ap @ V1g @ V2x )
% 5.66/5.90 = ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27b ) @ V3h ) @ ( ap @ V1g @ V4y ) ) ) ) ) ) )
% 5.66/5.90 => ! [V5x: $i] :
% 5.66/5.90 ( ( mem @ V5x @ A_27a )
% 5.66/5.90 => ( ( ap @ V0f @ V5x )
% 5.66/5.90 = ( ap @ V1g @ V5x ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Ellist_2ELUNFOLD__EQ,axiom,
% 5.66/5.90 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.66/5.90 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ ( ty_2Ellist_2Ellist @ A_27b ) @ bool ) ) )
% 5.66/5.90 => ! [V1f: $i] :
% 5.66/5.90 ( ( mem @ V1f @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) ) )
% 5.66/5.90 => ! [V2s: $i] :
% 5.66/5.90 ( ( mem @ V2s @ A_27a )
% 5.66/5.90 => ! [V3ll: $i] :
% 5.66/5.90 ( ( mem @ V3ll @ ( ty_2Ellist_2Ellist @ A_27b ) )
% 5.66/5.90 => ( ( ( p @ ( ap @ ( ap @ V0R @ V2s ) @ V3ll ) )
% 5.66/5.90 & ! [V4s: $i] :
% 5.66/5.90 ( ( mem @ V4s @ A_27a )
% 5.66/5.90 => ! [V5ll: $i] :
% 5.66/5.90 ( ( mem @ V5ll @ ( ty_2Ellist_2Ellist @ A_27b ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ V0R @ V4s ) @ V5ll ) )
% 5.66/5.90 => ( ( ( ( ap @ V1f @ V4s )
% 5.66/5.90 = ( c_2Eoption_2ENONE @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) )
% 5.66/5.90 & ( V5ll
% 5.66/5.90 = ( c_2Ellist_2ELNIL @ A_27b ) ) )
% 5.66/5.90 | ? [V6s_27: $i] :
% 5.66/5.90 ( ( mem @ V6s_27 @ A_27a )
% 5.66/5.90 & ? [V7x: $i] :
% 5.66/5.90 ( ( mem @ V7x @ A_27b )
% 5.66/5.90 & ? [V8ll_27: $i] :
% 5.66/5.90 ( ( mem @ V8ll_27 @ ( ty_2Ellist_2Ellist @ A_27b ) )
% 5.66/5.90 & ( ( ap @ V1f @ V4s )
% 5.66/5.90 = ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V6s_27 ) @ V7x ) ) )
% 5.66/5.90 & ( ( ap @ ( c_2Ellist_2ELHD @ A_27b ) @ V5ll )
% 5.66/5.90 = ( ap @ ( c_2Eoption_2ESOME @ A_27b ) @ V7x ) )
% 5.66/5.90 & ( ( ap @ ( c_2Ellist_2ELTL @ A_27b ) @ V5ll )
% 5.66/5.90 = ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Ellist_2Ellist @ A_27b ) ) @ V8ll_27 ) )
% 5.66/5.90 & ( p @ ( ap @ ( ap @ V0R @ V6s_27 ) @ V8ll_27 ) ) ) ) ) ) ) ) ) )
% 5.66/5.90 => ( ( ap @ ( ap @ ( c_2Ellist_2ELUNFOLD @ A_27b @ A_27a ) @ V1f ) @ V2s )
% 5.66/5.90 = V3ll ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Ellist_2ELMAP__LUNFOLD,axiom,
% 5.66/5.90 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.66/5.90 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.90 => ! [V1g: $i] :
% 5.66/5.90 ( ( mem @ V1g @ ( arr @ A_27c @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27c @ A_27a ) ) ) )
% 5.66/5.90 => ! [V2s: $i] :
% 5.66/5.90 ( ( mem @ V2s @ A_27c )
% 5.66/5.90 => ( ( ap @ ( ap @ ( c_2Ellist_2ELMAP @ A_27a @ A_27b ) @ V0f ) @ ( ap @ ( ap @ ( c_2Ellist_2ELUNFOLD @ A_27a @ A_27c ) @ V1g ) @ V2s ) )
% 5.66/5.90 = ( ap
% 5.66/5.90 @ ( ap @ ( c_2Ellist_2ELUNFOLD @ A_27b @ A_27c )
% 5.66/5.90 @ ( lam @ A_27c
% 5.66/5.90 @ ^ [V3s: $i] :
% 5.66/5.90 ( ap
% 5.66/5.90 @ ( ap @ ( c_2Eoption_2EOPTION__MAP @ ( ty_2Epair_2Eprod @ A_27c @ A_27a ) @ ( ty_2Epair_2Eprod @ A_27c @ A_27b ) )
% 5.66/5.90 @ ( ap @ ( c_2Epair_2EUNCURRY @ A_27c @ A_27a @ ( ty_2Epair_2Eprod @ A_27c @ A_27b ) )
% 5.66/5.90 @ ( lam @ A_27c
% 5.66/5.90 @ ^ [V4x: $i] :
% 5.66/5.90 ( lam @ A_27a
% 5.66/5.90 @ ^ [V5y: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27c @ A_27b ) @ V4x ) @ ( ap @ V0f @ V5y ) ) ) ) ) )
% 5.66/5.90 @ ( ap @ V1g @ V3s ) ) ) )
% 5.66/5.90 @ V2s ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Ellist_2ELNTH__LDROP,axiom,
% 5.66/5.90 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1l: $i] :
% 5.66/5.90 ( ( mem @ V1l @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.90 => ! [V2x: $i] :
% 5.66/5.90 ( ( mem @ V2x @ A_27a )
% 5.66/5.90 => ( ( ( ap @ ( ap @ ( c_2Ellist_2ELNTH @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1l )
% 5.66/5.90 = ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V2x ) )
% 5.66/5.90 => ( ( ap @ ( c_2Ellist_2ELHD @ A_27a ) @ ( ap @ ( c_2Eoption_2ETHE @ ( ty_2Ellist_2Ellist @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Ellist_2ELDROP @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1l ) ) )
% 5.66/5.90 = ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V2x ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Ellist_2ELAPPEND__fromList,axiom,
% 5.66/5.90 ! [A_27a: del,V0l1: $i] :
% 5.66/5.90 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.90 => ! [V1l2: $i] :
% 5.66/5.90 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.90 => ( ( ap @ ( ap @ ( c_2Ellist_2ELAPPEND @ A_27a ) @ ( ap @ ( c_2Ellist_2EfromList @ A_27a ) @ V0l1 ) ) @ ( ap @ ( c_2Ellist_2EfromList @ A_27a ) @ V1l2 ) )
% 5.66/5.90 = ( ap @ ( c_2Ellist_2EfromList @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V0l1 ) @ V1l2 ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Ellist_2ELTAKE__LENGTH,axiom,
% 5.66/5.90 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1ll: $i] :
% 5.66/5.90 ( ( mem @ V1ll @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.90 => ! [V2l: $i] :
% 5.66/5.90 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.90 => ( ( ( ap @ ( ap @ ( c_2Ellist_2ELTAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1ll )
% 5.66/5.90 = ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Elist_2Elist @ A_27a ) ) @ V2l ) )
% 5.66/5.90 => ( V0n
% 5.66/5.90 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2l ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Ellist_2ELTAKE__TAKE__LESS,axiom,
% 5.66/5.90 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1ll: $i] :
% 5.66/5.90 ( ( mem @ V1ll @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.90 => ! [V2l: $i] :
% 5.66/5.90 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.90 => ! [V3m: tp__ty_2Enum_2Enum] :
% 5.66/5.90 ( ( ( ( ap @ ( ap @ ( c_2Ellist_2ELTAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1ll )
% 5.66/5.90 = ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Elist_2Elist @ A_27a ) ) @ V2l ) )
% 5.66/5.90 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V3m ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) )
% 5.66/5.90 => ( ( ap @ ( ap @ ( c_2Ellist_2ELTAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V3m ) ) @ V1ll )
% 5.66/5.90 = ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Elist_2ETAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V3m ) ) @ V2l ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Ellist_2ELTAKE__LLENGTH__NONE,axiom,
% 5.66/5.90 ! [A_27a: del,V0ll: $i] :
% 5.66/5.90 ( ( mem @ V0ll @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.90 => ! [V1n: tp__ty_2Enum_2Enum,V2m: tp__ty_2Enum_2Enum] :
% 5.66/5.90 ( ( ( ( surj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ ( ap @ ( c_2Ellist_2ELLENGTH @ A_27a ) @ V0ll ) )
% 5.66/5.90 = ( surj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ ( ap @ ( c_2Eoption_2ESOME @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.66/5.90 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V2m ) ) ) )
% 5.66/5.90 => ( ( ap @ ( ap @ ( c_2Ellist_2ELTAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V2m ) ) @ V0ll )
% 5.66/5.90 = ( c_2Eoption_2ENONE @ ( ty_2Elist_2Elist @ A_27a ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Ellist_2ELTAKE__LLENGTH__SOME,axiom,
% 5.66/5.90 ! [A_27a: del,V0ll: $i] :
% 5.66/5.90 ( ( mem @ V0ll @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.90 => ! [V1n: tp__ty_2Enum_2Enum] :
% 5.66/5.90 ( ( ( surj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ ( ap @ ( c_2Ellist_2ELLENGTH @ A_27a ) @ V0ll ) )
% 5.66/5.90 = ( surj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ ( ap @ ( c_2Eoption_2ESOME @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.66/5.90 => ? [V2l: $i] :
% 5.66/5.90 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.90 & ( ( ap @ ( ap @ ( c_2Ellist_2ELTAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ V0ll )
% 5.66/5.90 = ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Elist_2Elist @ A_27a ) ) @ V2l ) )
% 5.66/5.90 & ( ( ap @ ( c_2Ellist_2EtoList @ A_27a ) @ V0ll )
% 5.66/5.90 = ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Elist_2Elist @ A_27a ) ) @ V2l ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Ellist_2EtoList__LAPPEND__APPEND,axiom,
% 5.66/5.90 ! [A_27a: del,V0l1: $i] :
% 5.66/5.90 ( ( mem @ V0l1 @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.90 => ! [V1l2: $i] :
% 5.66/5.90 ( ( mem @ V1l2 @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.90 => ! [V2x: $i] :
% 5.66/5.90 ( ( mem @ V2x @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.90 => ( ( ( ap @ ( c_2Ellist_2EtoList @ A_27a ) @ ( ap @ ( ap @ ( c_2Ellist_2ELAPPEND @ A_27a ) @ V0l1 ) @ V1l2 ) )
% 5.66/5.90 = ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Elist_2Elist @ A_27a ) ) @ V2x ) )
% 5.66/5.90 => ( V2x
% 5.66/5.90 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ ( ap @ ( c_2Eoption_2ETHE @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ap @ ( c_2Ellist_2EtoList @ A_27a ) @ V0l1 ) ) ) @ ( ap @ ( c_2Eoption_2ETHE @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ap @ ( c_2Ellist_2EtoList @ A_27a ) @ V1l2 ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Ellist_2ELNTH__LLENGTH__NONE,axiom,
% 5.66/5.90 ! [A_27a: del,V0l: $i] :
% 5.66/5.90 ( ( mem @ V0l @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.90 => ! [V1x: tp__ty_2Enum_2Enum,V2n: tp__ty_2Enum_2Enum] :
% 5.66/5.90 ( ( ( ( surj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ ( ap @ ( c_2Ellist_2ELLENGTH @ A_27a ) @ V0l ) )
% 5.66/5.90 = ( surj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ ( ap @ ( c_2Eoption_2ESOME @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) )
% 5.66/5.90 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1x ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) )
% 5.66/5.90 => ( ( ap @ ( ap @ ( c_2Ellist_2ELNTH @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ V0l )
% 5.66/5.90 = ( c_2Eoption_2ENONE @ A_27a ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Ellist_2ELNTH__NONE__MONO,axiom,
% 5.66/5.90 ! [A_27a: del,V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum,V2l: $i] :
% 5.66/5.90 ( ( mem @ V2l @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.90 => ( ( ( ( ap @ ( ap @ ( c_2Ellist_2ELNTH @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ V2l )
% 5.66/5.90 = ( c_2Eoption_2ENONE @ A_27a ) )
% 5.66/5.90 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.66/5.90 => ( ( ap @ ( ap @ ( c_2Ellist_2ELNTH @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ V2l )
% 5.66/5.90 = ( c_2Eoption_2ENONE @ A_27a ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(ax_thm_2Ellist_2Elinear__order__to__list__f__def,axiom,
% 5.66/5.90 ! [A_27a: del,V0lo: $i] :
% 5.66/5.90 ( ( mem @ V0lo @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.66/5.90 => ( ( ap @ ( c_2Ellist_2Elinear__order__to__list__f @ A_27a ) @ V0lo )
% 5.66/5.90 = ( ap
% 5.66/5.90 @ ( ap @ ( c_2Ebool_2ELET @ ( arr @ A_27a @ bool ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) @ A_27a ) ) )
% 5.66/5.90 @ ( lam @ ( arr @ A_27a @ bool )
% 5.66/5.90 @ ^ [V1min: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) @ A_27a ) ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( arr @ A_27a @ bool ) ) @ V1min ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) @ ( c_2Eoption_2ENONE @ ( ty_2Epair_2Eprod @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) @ A_27a ) ) ) @ ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Epair_2Eprod @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) @ A_27a ) @ ( ap @ ( ap @ ( c_2Eset__relation_2Errestrict @ A_27a ) @ V0lo ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDIFF @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ ( ap @ ( c_2Eset__relation_2Edomain @ A_27a @ A_27a ) @ V0lo ) ) @ ( ap @ ( c_2Eset__relation_2Erange @ A_27a @ A_27a ) @ V0lo ) ) ) @ V1min ) ) ) @ ( ap @ ( c_2Epred__set_2ECHOICE @ A_27a ) @ V1min ) ) ) ) ) )
% 5.66/5.90 @ ( ap @ ( ap @ ( c_2Eset__relation_2Eminimal__elements @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ ( ap @ ( c_2Eset__relation_2Edomain @ A_27a @ A_27a ) @ V0lo ) ) @ ( ap @ ( c_2Eset__relation_2Erange @ A_27a @ A_27a ) @ V0lo ) ) ) @ V0lo ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Ellist_2Elinear__order__to__llist__eq,axiom,
% 5.66/5.90 ! [A_27a: del,V0lo: $i] :
% 5.66/5.90 ( ( mem @ V0lo @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.66/5.90 => ! [V1X: $i] :
% 5.66/5.90 ( ( mem @ V1X @ ( arr @ A_27a @ bool ) )
% 5.66/5.90 => ( ( ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Elinear__order @ A_27a ) @ V0lo ) @ V1X ) )
% 5.66/5.90 & ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Efinite__prefixes @ A_27a @ A_27a ) @ V0lo ) @ V1X ) ) )
% 5.66/5.90 => ? [V2ll: $i] :
% 5.66/5.90 ( ( mem @ V2ll @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.90 & ( V1X
% 5.66/5.90 = ( ap @ ( c_2Epred__set_2EGSPEC @ A_27a @ A_27a )
% 5.66/5.90 @ ( lam @ A_27a
% 5.66/5.90 @ ^ [V3x: $i] :
% 5.66/5.90 ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ bool ) @ V3x )
% 5.66/5.90 @ ( ap @ ( c_2Ebool_2E_3F @ ty_2Enum_2Enum )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V4i: $i] : ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Ellist_2ELNTH @ A_27a ) @ V4i ) @ V2ll ) ) @ ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V3x ) ) ) ) ) ) ) )
% 5.66/5.90 & ( V0lo
% 5.66/5.90 = ( ap @ ( c_2Epred__set_2EGSPEC @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) )
% 5.66/5.90 @ ( ap @ ( c_2Epair_2EUNCURRY @ A_27a @ A_27a @ ( ty_2Epair_2Eprod @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.66/5.90 @ ( lam @ A_27a
% 5.66/5.90 @ ^ [V5x: $i] :
% 5.66/5.90 ( lam @ A_27a
% 5.66/5.90 @ ^ [V6y: $i] :
% 5.66/5.90 ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V5x ) @ V6y ) )
% 5.66/5.90 @ ( ap @ ( c_2Ebool_2E_3F @ ty_2Enum_2Enum )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V7i: $i] :
% 5.66/5.90 ( ap @ ( c_2Ebool_2E_3F @ ty_2Enum_2Enum )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V8j: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ V7i ) @ V8j ) ) @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Ellist_2ELNTH @ A_27a ) @ V7i ) @ V2ll ) ) @ ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V5x ) ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Ellist_2ELNTH @ A_27a ) @ V8j ) @ V2ll ) ) @ ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V6y ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.66/5.90 & ! [V9i: tp__ty_2Enum_2Enum,V10j: tp__ty_2Enum_2Enum,V11x: $i] :
% 5.66/5.90 ( ( mem @ V11x @ A_27a )
% 5.66/5.90 => ( ( ( ( ap @ ( ap @ ( c_2Ellist_2ELNTH @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V9i ) ) @ V2ll )
% 5.66/5.90 = ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V11x ) )
% 5.66/5.90 & ( ( ap @ ( ap @ ( c_2Ellist_2ELNTH @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V10j ) ) @ V2ll )
% 5.66/5.90 = ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V11x ) ) )
% 5.66/5.90 => ( V9i = V10j ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Ellist_2Elinear__order__to__llist,axiom,
% 5.66/5.90 ! [A_27a: del,V0lo: $i] :
% 5.66/5.90 ( ( mem @ V0lo @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.66/5.90 => ! [V1X: $i] :
% 5.66/5.90 ( ( mem @ V1X @ ( arr @ A_27a @ bool ) )
% 5.66/5.90 => ( ( ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Elinear__order @ A_27a ) @ V0lo ) @ V1X ) )
% 5.66/5.90 & ( p @ ( ap @ ( ap @ ( c_2Eset__relation_2Efinite__prefixes @ A_27a @ A_27a ) @ V0lo ) @ V1X ) ) )
% 5.66/5.90 => ? [V2ll: $i] :
% 5.66/5.90 ( ( mem @ V2ll @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.90 & ( V1X
% 5.66/5.90 = ( ap @ ( c_2Epred__set_2EGSPEC @ A_27a @ A_27a )
% 5.66/5.90 @ ( lam @ A_27a
% 5.66/5.90 @ ^ [V3x: $i] :
% 5.66/5.90 ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ bool ) @ V3x )
% 5.66/5.90 @ ( ap @ ( c_2Ebool_2E_3F @ ty_2Enum_2Enum )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V4i: $i] : ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Ellist_2ELNTH @ A_27a ) @ V4i ) @ V2ll ) ) @ ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V3x ) ) ) ) ) ) ) )
% 5.66/5.90 & ( p
% 5.66/5.90 @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ V0lo )
% 5.66/5.90 @ ( ap @ ( c_2Epred__set_2EGSPEC @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) )
% 5.66/5.90 @ ( ap @ ( c_2Epair_2EUNCURRY @ A_27a @ A_27a @ ( ty_2Epair_2Eprod @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) )
% 5.66/5.90 @ ( lam @ A_27a
% 5.66/5.90 @ ^ [V5x: $i] :
% 5.66/5.90 ( lam @ A_27a
% 5.66/5.90 @ ^ [V6y: $i] :
% 5.66/5.90 ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ bool ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27a ) @ V5x ) @ V6y ) )
% 5.66/5.90 @ ( ap @ ( c_2Ebool_2E_3F @ ty_2Enum_2Enum )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V7i: $i] :
% 5.66/5.90 ( ap @ ( c_2Ebool_2E_3F @ ty_2Enum_2Enum )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V8j: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ V7i ) @ V8j ) ) @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Ellist_2ELNTH @ A_27a ) @ V7i ) @ V2ll ) ) @ ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V5x ) ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Ellist_2ELNTH @ A_27a ) @ V8j ) @ V2ll ) ) @ ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V6y ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.66/5.90 & ! [V9i: tp__ty_2Enum_2Enum,V10j: tp__ty_2Enum_2Enum,V11x: $i] :
% 5.66/5.90 ( ( mem @ V11x @ A_27a )
% 5.66/5.90 => ( ( ( ( ap @ ( ap @ ( c_2Ellist_2ELNTH @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V9i ) ) @ V2ll )
% 5.66/5.90 = ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V11x ) )
% 5.66/5.90 & ( ( ap @ ( ap @ ( c_2Ellist_2ELNTH @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V10j ) ) @ V2ll )
% 5.66/5.90 = ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V11x ) ) )
% 5.66/5.90 => ( V9i = V10j ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(ax_thm_2Ellist_2ELPREFIX__def,axiom,
% 5.66/5.90 ! [A_27a: del,V0l1: $i] :
% 5.66/5.90 ( ( mem @ V0l1 @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.90 => ! [V1l2: $i] :
% 5.66/5.90 ( ( mem @ V1l2 @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( c_2Ellist_2ELPREFIX @ A_27a ) @ V0l1 ) @ V1l2 ) )
% 5.66/5.90 <=> ( p
% 5.66/5.90 @ ( ap @ ( ap @ ( ap @ ( c_2Eoption_2Eoption__CASE @ ( ty_2Elist_2Elist @ A_27a ) @ bool ) @ ( ap @ ( c_2Ellist_2EtoList @ A_27a ) @ V0l1 ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Ellist_2Ellist @ A_27a ) ) @ V0l1 ) @ V1l2 ) )
% 5.66/5.90 @ ( lam @ ( ty_2Elist_2Elist @ A_27a )
% 5.66/5.90 @ ^ [V2xs: $i] :
% 5.66/5.90 ( ap @ ( ap @ ( ap @ ( c_2Eoption_2Eoption__CASE @ ( ty_2Elist_2Elist @ A_27a ) @ bool ) @ ( ap @ ( c_2Ellist_2EtoList @ A_27a ) @ V1l2 ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Eoption_2Eoption @ ( ty_2Elist_2Elist @ A_27a ) ) ) @ ( ap @ ( ap @ ( c_2Ellist_2ELTAKE @ A_27a ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2xs ) ) @ V1l2 ) ) @ ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Elist_2Elist @ A_27a ) ) @ V2xs ) ) )
% 5.66/5.90 @ ( lam @ ( ty_2Elist_2Elist @ A_27a )
% 5.66/5.90 @ ^ [V3ys: $i] : ( ap @ ( ap @ ( c_2Elist_2EisPREFIX @ A_27a ) @ V2xs ) @ V3ys ) ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Ellist_2ELPREFIX__LNIL,axiom,
% 5.66/5.90 ! [A_27a: del,V0ll: $i] :
% 5.66/5.90 ( ( mem @ V0ll @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( c_2Ellist_2ELPREFIX @ A_27a ) @ ( c_2Ellist_2ELNIL @ A_27a ) ) @ V0ll ) )
% 5.66/5.90 & ( ( p @ ( ap @ ( ap @ ( c_2Ellist_2ELPREFIX @ A_27a ) @ V0ll ) @ ( c_2Ellist_2ELNIL @ A_27a ) ) )
% 5.66/5.90 <=> ( V0ll
% 5.66/5.90 = ( c_2Ellist_2ELNIL @ A_27a ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Ellist_2ELPREFIX__LCONS,axiom,
% 5.66/5.90 ! [A_27a: del,A_27b: del] :
% 5.66/5.90 ( ! [V0ll: $i] :
% 5.66/5.90 ( ( mem @ V0ll @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.90 => ! [V1h: $i] :
% 5.66/5.90 ( ( mem @ V1h @ A_27a )
% 5.66/5.90 => ! [V2t: $i] :
% 5.66/5.90 ( ( mem @ V2t @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( c_2Ellist_2ELPREFIX @ A_27a ) @ V0ll ) @ ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27a ) @ V1h ) @ V2t ) ) )
% 5.66/5.90 <=> ( ( V0ll
% 5.66/5.90 = ( c_2Ellist_2ELNIL @ A_27a ) )
% 5.66/5.90 | ? [V3l: $i] :
% 5.66/5.90 ( ( mem @ V3l @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.90 & ( V0ll
% 5.66/5.90 = ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27a ) @ V1h ) @ V3l ) )
% 5.66/5.90 & ( p @ ( ap @ ( ap @ ( c_2Ellist_2ELPREFIX @ A_27a ) @ V3l ) @ V2t ) ) ) ) ) ) ) )
% 5.66/5.90 & ! [V4h: $i] :
% 5.66/5.90 ( ( mem @ V4h @ A_27b )
% 5.66/5.90 => ! [V5t: $i] :
% 5.66/5.90 ( ( mem @ V5t @ ( ty_2Ellist_2Ellist @ A_27b ) )
% 5.66/5.90 => ! [V6ll: $i] :
% 5.66/5.90 ( ( mem @ V6ll @ ( ty_2Ellist_2Ellist @ A_27b ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( c_2Ellist_2ELPREFIX @ A_27b ) @ ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27b ) @ V4h ) @ V5t ) ) @ V6ll ) )
% 5.66/5.90 <=> ? [V7l: $i] :
% 5.66/5.90 ( ( mem @ V7l @ ( ty_2Ellist_2Ellist @ A_27b ) )
% 5.66/5.90 & ( V6ll
% 5.66/5.90 = ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27b ) @ V4h ) @ V7l ) )
% 5.66/5.90 & ( p @ ( ap @ ( ap @ ( c_2Ellist_2ELPREFIX @ A_27b ) @ V5t ) @ V7l ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Ellist_2ELPREFIX__LUNFOLD,axiom,
% 5.66/5.90 ! [A_27a: del,A_27b: del,V0ll: $i] :
% 5.66/5.90 ( ( mem @ V0ll @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.90 => ! [V1f: $i] :
% 5.66/5.90 ( ( mem @ V1f @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) )
% 5.66/5.90 => ! [V2n: $i] :
% 5.66/5.90 ( ( mem @ V2n @ A_27b )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( c_2Ellist_2ELPREFIX @ A_27a ) @ V0ll ) @ ( ap @ ( ap @ ( c_2Ellist_2ELUNFOLD @ A_27a @ A_27b ) @ V1f ) @ V2n ) ) )
% 5.66/5.90 <=> ( p
% 5.66/5.90 @ ( ap @ ( ap @ ( ap @ ( c_2Eoption_2Eoption__CASE @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) @ bool ) @ ( ap @ V1f @ V2n ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Ellist_2Ellist @ A_27a ) ) @ V0ll ) @ ( c_2Ellist_2ELNIL @ A_27a ) ) )
% 5.66/5.90 @ ( lam @ ( ty_2Epair_2Eprod @ A_27b @ A_27a )
% 5.66/5.90 @ ^ [V3v: $i] :
% 5.66/5.90 ( ap @ ( ap @ ( c_2Epair_2Epair__CASE @ bool @ A_27b @ A_27a ) @ V3v )
% 5.66/5.90 @ ( lam @ A_27b
% 5.66/5.90 @ ^ [V4n: $i] :
% 5.66/5.90 ( lam @ A_27a
% 5.66/5.90 @ ^ [V5x: $i] :
% 5.66/5.90 ( ap @ ( c_2Ebool_2E_21 @ A_27a )
% 5.66/5.90 @ ( lam @ A_27a
% 5.66/5.90 @ ^ [V6h: $i] :
% 5.66/5.90 ( ap @ ( c_2Ebool_2E_21 @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.90 @ ( lam @ ( ty_2Ellist_2Ellist @ A_27a )
% 5.66/5.90 @ ^ [V7t: $i] : ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Ellist_2Ellist @ A_27a ) ) @ V0ll ) @ ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27a ) @ V6h ) @ V7t ) ) ) @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V6h ) @ V5x ) ) @ ( ap @ ( ap @ ( c_2Ellist_2ELPREFIX @ A_27a ) @ V7t ) @ ( ap @ ( ap @ ( c_2Ellist_2ELUNFOLD @ A_27a @ A_27b ) @ V1f ) @ V4n ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Ellist_2ELPREFIX__REFL,axiom,
% 5.66/5.90 ! [A_27a: del,V0ll: $i] :
% 5.66/5.90 ( ( mem @ V0ll @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.90 => ( p @ ( ap @ ( ap @ ( c_2Ellist_2ELPREFIX @ A_27a ) @ V0ll ) @ V0ll ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Ellist_2ELPREFIX__ANTISYM,axiom,
% 5.66/5.90 ! [A_27a: del,V0l1: $i] :
% 5.66/5.90 ( ( mem @ V0l1 @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.90 => ! [V1l2: $i] :
% 5.66/5.90 ( ( mem @ V1l2 @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.90 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ellist_2ELPREFIX @ A_27a ) @ V0l1 ) @ V1l2 ) )
% 5.66/5.90 & ( p @ ( ap @ ( ap @ ( c_2Ellist_2ELPREFIX @ A_27a ) @ V1l2 ) @ V0l1 ) ) )
% 5.66/5.90 => ( V0l1 = V1l2 ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Ellist_2ELPREFIX__TRANS,axiom,
% 5.66/5.90 ! [A_27a: del,V0l1: $i] :
% 5.66/5.90 ( ( mem @ V0l1 @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.90 => ! [V1l2: $i] :
% 5.66/5.90 ( ( mem @ V1l2 @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.90 => ! [V2l3: $i] :
% 5.66/5.90 ( ( mem @ V2l3 @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.90 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ellist_2ELPREFIX @ A_27a ) @ V0l1 ) @ V1l2 ) )
% 5.66/5.90 & ( p @ ( ap @ ( ap @ ( c_2Ellist_2ELPREFIX @ A_27a ) @ V1l2 ) @ V2l3 ) ) )
% 5.66/5.90 => ( p @ ( ap @ ( ap @ ( c_2Ellist_2ELPREFIX @ A_27a ) @ V0l1 ) @ V2l3 ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Ellist_2ELPREFIX__fromList,axiom,
% 5.66/5.90 ! [A_27a: del,V0l: $i] :
% 5.66/5.90 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.90 => ! [V1ll: $i] :
% 5.66/5.90 ( ( mem @ V1ll @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( c_2Ellist_2ELPREFIX @ A_27a ) @ ( ap @ ( c_2Ellist_2EfromList @ A_27a ) @ V0l ) ) @ V1ll ) )
% 5.66/5.90 <=> ( p
% 5.66/5.90 @ ( ap @ ( ap @ ( ap @ ( c_2Eoption_2Eoption__CASE @ ( ty_2Elist_2Elist @ A_27a ) @ bool ) @ ( ap @ ( c_2Ellist_2EtoList @ A_27a ) @ V1ll ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Eoption_2Eoption @ ( ty_2Elist_2Elist @ A_27a ) ) ) @ ( ap @ ( ap @ ( c_2Ellist_2ELTAKE @ A_27a ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) @ V1ll ) ) @ ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Elist_2Elist @ A_27a ) ) @ V0l ) ) )
% 5.66/5.90 @ ( lam @ ( ty_2Elist_2Elist @ A_27a )
% 5.66/5.90 @ ^ [V2ys: $i] : ( ap @ ( ap @ ( c_2Elist_2EisPREFIX @ A_27a ) @ V0l ) @ V2ys ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Ellist_2Eprefixes__lprefix__total,axiom,
% 5.66/5.90 ! [A_27a: del,V0ll: $i] :
% 5.66/5.90 ( ( mem @ V0ll @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.90 => ! [V1l1: $i] :
% 5.66/5.90 ( ( mem @ V1l1 @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.90 => ! [V2l2: $i] :
% 5.66/5.90 ( ( mem @ V2l2 @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.90 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ellist_2ELPREFIX @ A_27a ) @ V1l1 ) @ V0ll ) )
% 5.66/5.90 & ( p @ ( ap @ ( ap @ ( c_2Ellist_2ELPREFIX @ A_27a ) @ V2l2 ) @ V0ll ) ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( c_2Ellist_2ELPREFIX @ A_27a ) @ V1l1 ) @ V2l2 ) )
% 5.66/5.90 | ( p @ ( ap @ ( ap @ ( c_2Ellist_2ELPREFIX @ A_27a ) @ V2l2 ) @ V1l1 ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Ellist_2ELTAKE__IMP__LDROP,axiom,
% 5.66/5.90 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1ll: $i] :
% 5.66/5.90 ( ( mem @ V1ll @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.90 => ! [V2l1: $i] :
% 5.66/5.90 ( ( mem @ V2l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.90 => ( ( ( ap @ ( ap @ ( c_2Ellist_2ELTAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1ll )
% 5.66/5.90 = ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Elist_2Elist @ A_27a ) ) @ V2l1 ) )
% 5.66/5.90 => ? [V3l2: $i] :
% 5.66/5.90 ( ( mem @ V3l2 @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.90 & ( ( ap @ ( ap @ ( c_2Ellist_2ELDROP @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1ll )
% 5.66/5.90 = ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Ellist_2Ellist @ A_27a ) ) @ V3l2 ) )
% 5.66/5.90 & ( ( ap @ ( ap @ ( c_2Ellist_2ELAPPEND @ A_27a ) @ ( ap @ ( c_2Ellist_2EfromList @ A_27a ) @ V2l1 ) ) @ V3l2 )
% 5.66/5.90 = V1ll ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Ellist_2ELDROP__EQ__LNIL,axiom,
% 5.66/5.90 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1ll: $i] :
% 5.66/5.90 ( ( mem @ V1ll @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.90 => ( ( ( ap @ ( ap @ ( c_2Ellist_2ELDROP @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1ll )
% 5.66/5.90 = ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Ellist_2Ellist @ A_27a ) ) @ ( c_2Ellist_2ELNIL @ A_27a ) ) )
% 5.66/5.90 <=> ( ( surj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ ( ap @ ( c_2Ellist_2ELLENGTH @ A_27a ) @ V1ll ) )
% 5.66/5.90 = ( surj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ ( ap @ ( c_2Eoption_2ESOME @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Ellist_2ELPREFIX__APPEND,axiom,
% 5.66/5.90 ! [A_27a: del,V0l1: $i] :
% 5.66/5.90 ( ( mem @ V0l1 @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.90 => ! [V1l2: $i] :
% 5.66/5.90 ( ( mem @ V1l2 @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( c_2Ellist_2ELPREFIX @ A_27a ) @ V0l1 ) @ V1l2 ) )
% 5.66/5.90 <=> ? [V2ll: $i] :
% 5.66/5.90 ( ( mem @ V2ll @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.90 & ( V1l2
% 5.66/5.90 = ( ap @ ( ap @ ( c_2Ellist_2ELAPPEND @ A_27a ) @ V0l1 ) @ V2ll ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Ellist_2ENOT__LFINITE__DROP__LFINITE,axiom,
% 5.66/5.90 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1l: $i] :
% 5.66/5.90 ( ( mem @ V1l @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.90 => ! [V2t: $i] :
% 5.66/5.90 ( ( mem @ V2t @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.90 => ( ( ~ ( p @ ( ap @ ( c_2Ellist_2ELFINITE @ A_27a ) @ V1l ) )
% 5.66/5.90 & ( ( ap @ ( ap @ ( c_2Ellist_2ELDROP @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1l )
% 5.66/5.90 = ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Ellist_2Ellist @ A_27a ) ) @ V2t ) ) )
% 5.66/5.90 => ~ ( p @ ( ap @ ( c_2Ellist_2ELFINITE @ A_27a ) @ V2t ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Ellist_2ELDROP__APPEND1,axiom,
% 5.66/5.90 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1l1: $i] :
% 5.66/5.90 ( ( mem @ V1l1 @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.90 => ! [V2l: $i] :
% 5.66/5.90 ( ( mem @ V2l @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.90 => ! [V3l2: $i] :
% 5.66/5.90 ( ( mem @ V3l2 @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.90 => ( ( ( ap @ ( ap @ ( c_2Ellist_2ELDROP @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1l1 )
% 5.66/5.90 = ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Ellist_2Ellist @ A_27a ) ) @ V2l ) )
% 5.66/5.90 => ( ( ap @ ( ap @ ( c_2Ellist_2ELDROP @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( ap @ ( c_2Ellist_2ELAPPEND @ A_27a ) @ V1l1 ) @ V3l2 ) )
% 5.66/5.90 = ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Ellist_2Ellist @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Ellist_2ELAPPEND @ A_27a ) @ V2l ) @ V3l2 ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Ellist_2ELDROP__fromList,axiom,
% 5.66/5.90 ! [A_27a: del,V0ls: $i] :
% 5.66/5.90 ( ( mem @ V0ls @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.90 => ! [V1n: tp__ty_2Enum_2Enum] :
% 5.66/5.90 ( ( ap @ ( ap @ ( c_2Ellist_2ELDROP @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ ( c_2Ellist_2EfromList @ A_27a ) @ V0ls ) )
% 5.66/5.90 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Eoption_2Eoption @ ( ty_2Ellist_2Ellist @ A_27a ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0ls ) ) ) @ ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Ellist_2Ellist @ A_27a ) ) @ ( ap @ ( c_2Ellist_2EfromList @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EDROP @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ V0ls ) ) ) ) @ ( c_2Eoption_2ENONE @ ( ty_2Ellist_2Ellist @ A_27a ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Ellist_2ELDROP__SUC,axiom,
% 5.66/5.90 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1ls: $i] :
% 5.66/5.90 ( ( mem @ V1ls @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.90 => ( ( ap @ ( ap @ ( c_2Ellist_2ELDROP @ A_27a ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ V1ls )
% 5.66/5.90 = ( ap @ ( ap @ ( c_2Eoption_2EOPTION__BIND @ ( ty_2Ellist_2Ellist @ A_27a ) @ ( ty_2Ellist_2Ellist @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Ellist_2ELDROP @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1ls ) ) @ ( c_2Ellist_2ELTL @ A_27a ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(ax_thm_2Ellist_2ELGENLIST__def,axiom,
% 5.66/5.90 ! [A_27a: del] :
% 5.66/5.90 ( ! [V0f: $i] :
% 5.66/5.90 ( ( mem @ V0f @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.66/5.90 => ( ( ap @ ( ap @ ( c_2Ellist_2ELGENLIST @ A_27a ) @ V0f ) @ ( c_2Eoption_2ENONE @ ty_2Enum_2Enum ) )
% 5.66/5.90 = ( ap
% 5.66/5.90 @ ( ap @ ( c_2Ellist_2ELUNFOLD @ A_27a @ ty_2Enum_2Enum )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V1n: $i] : ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ A_27a ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ V1n ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ V0f @ V1n ) ) ) ) )
% 5.66/5.90 @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) )
% 5.66/5.90 & ! [V2f: $i] :
% 5.66/5.90 ( ( mem @ V2f @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.66/5.90 => ! [V3lim: tp__ty_2Enum_2Enum] :
% 5.66/5.90 ( ( ap @ ( ap @ ( c_2Ellist_2ELGENLIST @ A_27a ) @ V2f ) @ ( ap @ ( c_2Eoption_2ESOME @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V3lim ) ) )
% 5.66/5.90 = ( ap
% 5.66/5.90 @ ( ap @ ( c_2Ellist_2ELUNFOLD @ A_27a @ ty_2Enum_2Enum )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V4n: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ A_27a ) ) ) @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ V4n ) @ ( inj__ty_2Enum_2Enum @ V3lim ) ) ) @ ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ A_27a ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ V4n ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ V2f @ V4n ) ) ) ) @ ( c_2Eoption_2ENONE @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ A_27a ) ) ) ) )
% 5.66/5.90 @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Ellist_2ELHD__LGENLIST,axiom,
% 5.66/5.90 ! [A_27a: del,V0f: $i] :
% 5.66/5.90 ( ( mem @ V0f @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.66/5.90 => ! [V1limopt: tp__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum] :
% 5.66/5.90 ( ( ap @ ( c_2Ellist_2ELHD @ A_27a ) @ ( ap @ ( ap @ ( c_2Ellist_2ELGENLIST @ A_27a ) @ V0f ) @ ( inj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ V1limopt ) ) )
% 5.66/5.90 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Eoption_2Eoption @ ty_2Enum_2Enum ) ) @ ( inj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ V1limopt ) ) @ ( ap @ ( c_2Eoption_2ESOME @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ) @ ( c_2Eoption_2ENONE @ A_27a ) ) @ ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ ( ap @ V0f @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Ellist_2ELTL__LGENLIST,axiom,
% 5.66/5.90 ! [A_27a: del,V0f: $i] :
% 5.66/5.90 ( ( mem @ V0f @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.66/5.90 => ! [V1limopt: tp__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum] :
% 5.66/5.90 ( ( ap @ ( c_2Ellist_2ELTL @ A_27a ) @ ( ap @ ( ap @ ( c_2Ellist_2ELGENLIST @ A_27a ) @ V0f ) @ ( inj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ V1limopt ) ) )
% 5.66/5.90 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Eoption_2Eoption @ ( ty_2Ellist_2Ellist @ A_27a ) ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Eoption_2Eoption @ ty_2Enum_2Enum ) ) @ ( inj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ V1limopt ) ) @ ( ap @ ( c_2Eoption_2ESOME @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ) @ ( c_2Eoption_2ENONE @ ( ty_2Ellist_2Ellist @ A_27a ) ) ) @ ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Ellist_2Ellist @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Ellist_2ELGENLIST @ A_27a ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ty_2Enum_2Enum @ A_27a @ ty_2Enum_2Enum ) @ V0f ) @ c_2Enum_2ESUC ) ) @ ( ap @ ( ap @ ( c_2Eoption_2EOPTION__MAP @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ c_2Eprim__rec_2EPRE ) @ ( inj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ V1limopt ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Ellist_2Enumopt__BISIMULATION,axiom,
% 5.66/5.90 ! [V0mopt: tp__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum,V1nopt: tp__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum] :
% 5.66/5.90 ( ( V0mopt = V1nopt )
% 5.66/5.90 <=> ? [V2R: $i] :
% 5.66/5.90 ( ( mem @ V2R @ ( arr @ ( ty_2Eoption_2Eoption @ ty_2Enum_2Enum ) @ ( arr @ ( ty_2Eoption_2Eoption @ ty_2Enum_2Enum ) @ bool ) ) )
% 5.66/5.90 & ( p @ ( ap @ ( ap @ V2R @ ( inj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ V0mopt ) ) @ ( inj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ V1nopt ) ) )
% 5.66/5.90 & ! [V3m: tp__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum,V4n: tp__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum] :
% 5.66/5.90 ( ( p @ ( ap @ ( ap @ V2R @ ( inj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ V3m ) ) @ ( inj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ V4n ) ) )
% 5.66/5.90 => ( ( ( V3m
% 5.66/5.90 = ( surj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ ( ap @ ( c_2Eoption_2ESOME @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) )
% 5.66/5.90 & ( V4n
% 5.66/5.90 = ( surj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ ( ap @ ( c_2Eoption_2ESOME @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ) )
% 5.66/5.90 | ( ( V3m
% 5.66/5.90 != ( surj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ ( ap @ ( c_2Eoption_2ESOME @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) )
% 5.66/5.90 & ( V4n
% 5.66/5.90 != ( surj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ ( ap @ ( c_2Eoption_2ESOME @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) )
% 5.66/5.90 & ( p @ ( ap @ ( ap @ V2R @ ( ap @ ( ap @ ( c_2Eoption_2EOPTION__MAP @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ c_2Eprim__rec_2EPRE ) @ ( inj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ V3m ) ) ) @ ( ap @ ( ap @ ( c_2Eoption_2EOPTION__MAP @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ c_2Eprim__rec_2EPRE ) @ ( inj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ V4n ) ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Ellist_2ELGENLIST__EQ__LNIL,axiom,
% 5.66/5.90 ! [A_27a: del,V0f: $i] :
% 5.66/5.90 ( ( mem @ V0f @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.66/5.90 => ! [V1n: tp__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum] :
% 5.66/5.90 ( ( ( ( ap @ ( ap @ ( c_2Ellist_2ELGENLIST @ A_27a ) @ V0f ) @ ( inj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ V1n ) )
% 5.66/5.90 = ( c_2Ellist_2ELNIL @ A_27a ) )
% 5.66/5.90 <=> ( V1n
% 5.66/5.90 = ( surj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ ( ap @ ( c_2Eoption_2ESOME @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ) )
% 5.66/5.90 & ( ( ( c_2Ellist_2ELNIL @ A_27a )
% 5.66/5.90 = ( ap @ ( ap @ ( c_2Ellist_2ELGENLIST @ A_27a ) @ V0f ) @ ( inj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ V1n ) ) )
% 5.66/5.90 <=> ( V1n
% 5.66/5.90 = ( surj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ ( ap @ ( c_2Eoption_2ESOME @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Ellist_2ELFINITE__LGENLIST,axiom,
% 5.66/5.90 ! [A_27a: del,V0f: $i] :
% 5.66/5.90 ( ( mem @ V0f @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.66/5.90 => ! [V1n: tp__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum] :
% 5.66/5.90 ( ( p @ ( ap @ ( c_2Ellist_2ELFINITE @ A_27a ) @ ( ap @ ( ap @ ( c_2Ellist_2ELGENLIST @ A_27a ) @ V0f ) @ ( inj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ V1n ) ) ) )
% 5.66/5.90 <=> ( V1n
% 5.66/5.90 != ( surj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ ( c_2Eoption_2ENONE @ ty_2Enum_2Enum ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Ellist_2ELTL__HD__LTL__LHD,axiom,
% 5.66/5.90 ! [A_27a: del,V0l: $i] :
% 5.66/5.90 ( ( mem @ V0l @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.90 => ( ( ap @ ( c_2Ellist_2ELTL__HD @ A_27a ) @ V0l )
% 5.66/5.90 = ( ap @ ( ap @ ( c_2Eoption_2EOPTION__BIND @ ( ty_2Epair_2Eprod @ ( ty_2Ellist_2Ellist @ A_27a ) @ A_27a ) @ A_27a ) @ ( ap @ ( c_2Ellist_2ELHD @ A_27a ) @ V0l ) )
% 5.66/5.90 @ ( lam @ A_27a
% 5.66/5.90 @ ^ [V1h: $i] :
% 5.66/5.90 ( ap @ ( ap @ ( c_2Eoption_2EOPTION__BIND @ ( ty_2Epair_2Eprod @ ( ty_2Ellist_2Ellist @ A_27a ) @ A_27a ) @ ( ty_2Ellist_2Ellist @ A_27a ) ) @ ( ap @ ( c_2Ellist_2ELTL @ A_27a ) @ V0l ) )
% 5.66/5.90 @ ( lam @ ( ty_2Ellist_2Ellist @ A_27a )
% 5.66/5.90 @ ^ [V2t: $i] : ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Epair_2Eprod @ ( ty_2Ellist_2Ellist @ A_27a ) @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Ellist_2Ellist @ A_27a ) @ A_27a ) @ V2t ) @ V1h ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Ellist_2ELGENLIST__SOME,axiom,
% 5.66/5.90 ! [A_27a: del,V0f: $i] :
% 5.66/5.90 ( ( mem @ V0f @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.66/5.90 => ( ( ( ap @ ( ap @ ( c_2Ellist_2ELGENLIST @ A_27a ) @ V0f ) @ ( ap @ ( c_2Eoption_2ESOME @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.66/5.90 = ( c_2Ellist_2ELNIL @ A_27a ) )
% 5.66/5.90 & ! [V1n: tp__ty_2Enum_2Enum] :
% 5.66/5.90 ( ( ap @ ( ap @ ( c_2Ellist_2ELGENLIST @ A_27a ) @ V0f ) @ ( ap @ ( c_2Eoption_2ESOME @ ty_2Enum_2Enum ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.66/5.90 = ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27a ) @ ( ap @ V0f @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) @ ( ap @ ( ap @ ( c_2Ellist_2ELGENLIST @ A_27a ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ty_2Enum_2Enum @ A_27a @ ty_2Enum_2Enum ) @ V0f ) @ c_2Enum_2ESUC ) ) @ ( ap @ ( c_2Eoption_2ESOME @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Ellist_2ELGENLIST__SOME__compute,axiom,
% 5.66/5.90 ! [A_27a: del,V0f: $i] :
% 5.66/5.90 ( ( mem @ V0f @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.66/5.90 => ( ( ( ap @ ( ap @ ( c_2Ellist_2ELGENLIST @ A_27a ) @ V0f ) @ ( ap @ ( c_2Eoption_2ESOME @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.66/5.90 = ( c_2Ellist_2ELNIL @ A_27a ) )
% 5.66/5.90 & ! [V1n: tp__ty_2Enum_2Enum] :
% 5.66/5.90 ( ( ap @ ( ap @ ( c_2Ellist_2ELGENLIST @ A_27a ) @ V0f ) @ ( ap @ ( c_2Eoption_2ESOME @ ty_2Enum_2Enum ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) )
% 5.66/5.90 = ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27a ) @ ( ap @ V0f @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) @ ( ap @ ( ap @ ( c_2Ellist_2ELGENLIST @ A_27a ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ty_2Enum_2Enum @ A_27a @ ty_2Enum_2Enum ) @ V0f ) @ c_2Enum_2ESUC ) ) @ ( ap @ ( c_2Eoption_2ESOME @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.66/5.90 & ! [V2n: tp__ty_2Enum_2Enum] :
% 5.66/5.90 ( ( ap @ ( ap @ ( c_2Ellist_2ELGENLIST @ A_27a ) @ V0f ) @ ( ap @ ( c_2Eoption_2ESOME @ ty_2Enum_2Enum ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) )
% 5.66/5.90 = ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27a ) @ ( ap @ V0f @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) @ ( ap @ ( ap @ ( c_2Ellist_2ELGENLIST @ A_27a ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ty_2Enum_2Enum @ A_27a @ ty_2Enum_2Enum ) @ V0f ) @ c_2Enum_2ESUC ) ) @ ( ap @ ( c_2Eoption_2ESOME @ ty_2Enum_2Enum ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Ellist_2ELNTH__LGENLIST,axiom,
% 5.66/5.90 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1f: $i] :
% 5.66/5.90 ( ( mem @ V1f @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.66/5.90 => ! [V2lim: tp__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum] :
% 5.66/5.90 ( ( ap @ ( ap @ ( c_2Ellist_2ELNTH @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( ap @ ( c_2Ellist_2ELGENLIST @ A_27a ) @ V1f ) @ ( inj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ V2lim ) ) )
% 5.66/5.90 = ( ap @ ( ap @ ( ap @ ( c_2Eoption_2Eoption__CASE @ ty_2Enum_2Enum @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ ( inj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ V2lim ) ) @ ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ ( ap @ V1f @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V3lim0: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V3lim0 ) ) @ ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ ( ap @ V1f @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) @ ( c_2Eoption_2ENONE @ A_27a ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Ellist_2ELNTH__LMAP,axiom,
% 5.66/5.90 ! [A_27a: del,A_27b: del,V0n: tp__ty_2Enum_2Enum,V1f: $i] :
% 5.66/5.90 ( ( mem @ V1f @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.90 => ! [V2l: $i] :
% 5.66/5.90 ( ( mem @ V2l @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.90 => ( ( ap @ ( ap @ ( c_2Ellist_2ELNTH @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( ap @ ( c_2Ellist_2ELMAP @ A_27a @ A_27b ) @ V1f ) @ V2l ) )
% 5.66/5.90 = ( ap @ ( ap @ ( c_2Eoption_2EOPTION__MAP @ A_27a @ A_27b ) @ V1f ) @ ( ap @ ( ap @ ( c_2Ellist_2ELNTH @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V2l ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Ellist_2ELLENGTH__LGENLIST,axiom,
% 5.66/5.90 ! [A_27a: del,V0limopt: tp__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum,V1f: $i] :
% 5.66/5.90 ( ( mem @ V1f @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.66/5.90 => ( ( surj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ ( ap @ ( c_2Ellist_2ELLENGTH @ A_27a ) @ ( ap @ ( ap @ ( c_2Ellist_2ELGENLIST @ A_27a ) @ V1f ) @ ( inj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ V0limopt ) ) ) )
% 5.66/5.90 = V0limopt ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Ellist_2ELMAP__LGENLIST,axiom,
% 5.66/5.90 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.90 ( ( mem @ V0f @ ( arr @ A_27b @ A_27a ) )
% 5.66/5.90 => ! [V1g: $i] :
% 5.66/5.90 ( ( mem @ V1g @ ( arr @ ty_2Enum_2Enum @ A_27b ) )
% 5.66/5.90 => ! [V2limopt: tp__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum] :
% 5.66/5.90 ( ( ap @ ( ap @ ( c_2Ellist_2ELMAP @ A_27b @ A_27a ) @ V0f ) @ ( ap @ ( ap @ ( c_2Ellist_2ELGENLIST @ A_27b ) @ V1g ) @ ( inj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ V2limopt ) ) )
% 5.66/5.90 = ( ap @ ( ap @ ( c_2Ellist_2ELGENLIST @ A_27a ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ty_2Enum_2Enum @ A_27a @ A_27b ) @ V0f ) @ V1g ) ) @ ( inj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ V2limopt ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Ellist_2ELGENLIST__EQ__CONS,axiom,
% 5.66/5.90 ! [A_27a: del,V0f: $i] :
% 5.66/5.90 ( ( mem @ V0f @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.66/5.90 => ! [V1h: $i] :
% 5.66/5.90 ( ( mem @ V1h @ A_27a )
% 5.66/5.90 => ! [V2t: $i] :
% 5.66/5.90 ( ( mem @ V2t @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.90 => ( ( ( ap @ ( ap @ ( c_2Ellist_2ELGENLIST @ A_27a ) @ V0f ) @ ( c_2Eoption_2ENONE @ ty_2Enum_2Enum ) )
% 5.66/5.90 = ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27a ) @ V1h ) @ V2t ) )
% 5.66/5.90 <=> ( ( V1h
% 5.66/5.90 = ( ap @ V0f @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.66/5.90 & ( V2t
% 5.66/5.90 = ( ap @ ( ap @ ( c_2Ellist_2ELGENLIST @ A_27a ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ty_2Enum_2Enum @ A_27a @ ty_2Enum_2Enum ) @ V0f ) @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( c_2Eoption_2ENONE @ ty_2Enum_2Enum ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(ax_thm_2Ellist_2ELREPEAT__def,axiom,
% 5.66/5.90 ! [A_27a: del,V0l: $i] :
% 5.66/5.90 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.90 => ( ( ap @ ( c_2Ellist_2ELREPEAT @ A_27a ) @ V0l )
% 5.66/5.90 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Ellist_2Ellist @ A_27a ) ) @ ( ap @ ( c_2Elist_2ENULL @ A_27a ) @ V0l ) ) @ ( c_2Ellist_2ELNIL @ A_27a ) )
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ ( c_2Ellist_2ELGENLIST @ A_27a )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V1n: $i] : ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ V1n ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V0l ) ) ) @ V0l ) ) )
% 5.66/5.90 @ ( c_2Eoption_2ENONE @ ty_2Enum_2Enum ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Ellist_2ELGENLIST__CHUNK__GENLIST,axiom,
% 5.66/5.90 ! [A_27a: del,V0f: $i] :
% 5.66/5.90 ( ( mem @ V0f @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.66/5.90 => ! [V1n: tp__ty_2Enum_2Enum] :
% 5.66/5.90 ( ( ap @ ( ap @ ( c_2Ellist_2ELGENLIST @ A_27a ) @ V0f ) @ ( c_2Eoption_2ENONE @ ty_2Enum_2Enum ) )
% 5.66/5.90 = ( ap @ ( ap @ ( c_2Ellist_2ELAPPEND @ A_27a ) @ ( ap @ ( c_2Ellist_2EfromList @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EGENLIST @ A_27a ) @ V0f ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) @ ( ap @ ( ap @ ( c_2Ellist_2ELGENLIST @ A_27a ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ty_2Enum_2Enum @ A_27a @ ty_2Enum_2Enum ) @ V0f ) @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) @ ( c_2Eoption_2ENONE @ ty_2Enum_2Enum ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Ellist_2ELREPEAT__thm,axiom,
% 5.66/5.90 ! [A_27a: del,V0l: $i] :
% 5.66/5.90 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.90 => ( ( ap @ ( c_2Ellist_2ELREPEAT @ A_27a ) @ V0l )
% 5.66/5.90 = ( ap @ ( ap @ ( c_2Ellist_2ELAPPEND @ A_27a ) @ ( ap @ ( c_2Ellist_2EfromList @ A_27a ) @ V0l ) ) @ ( ap @ ( c_2Ellist_2ELREPEAT @ A_27a ) @ V0l ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Ellist_2ELREPEAT__NIL,axiom,
% 5.66/5.90 ! [A_27a: del] :
% 5.66/5.90 ( ( ap @ ( c_2Ellist_2ELREPEAT @ A_27a ) @ ( c_2Elist_2ENIL @ A_27a ) )
% 5.66/5.90 = ( c_2Ellist_2ELNIL @ A_27a ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Ellist_2ELREPEAT__EQ__LNIL,axiom,
% 5.66/5.90 ! [A_27a: del,V0l: $i] :
% 5.66/5.90 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.90 => ( ( ( ( ap @ ( c_2Ellist_2ELREPEAT @ A_27a ) @ V0l )
% 5.66/5.90 = ( c_2Ellist_2ELNIL @ A_27a ) )
% 5.66/5.90 <=> ( V0l
% 5.66/5.90 = ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.66/5.90 & ( ( ( c_2Ellist_2ELNIL @ A_27a )
% 5.66/5.90 = ( ap @ ( c_2Ellist_2ELREPEAT @ A_27a ) @ V0l ) )
% 5.66/5.90 <=> ( V0l
% 5.66/5.90 = ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Ellist_2ELHD__LREPEAT,axiom,
% 5.66/5.90 ! [A_27a: del,V0l: $i] :
% 5.66/5.90 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.90 => ( ( ap @ ( c_2Ellist_2ELHD @ A_27a ) @ ( ap @ ( c_2Ellist_2ELREPEAT @ A_27a ) @ V0l ) )
% 5.66/5.90 = ( ap @ ( c_2Ellist_2ELHD @ A_27a ) @ ( ap @ ( c_2Ellist_2EfromList @ A_27a ) @ V0l ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Ellist_2ELTL__LREPEAT,axiom,
% 5.66/5.90 ! [A_27a: del,V0l: $i] :
% 5.66/5.90 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.90 => ( ( ap @ ( c_2Ellist_2ELTL @ A_27a ) @ ( ap @ ( c_2Ellist_2ELREPEAT @ A_27a ) @ V0l ) )
% 5.66/5.90 = ( ap
% 5.66/5.90 @ ( ap @ ( c_2Eoption_2EOPTION__MAP @ ( ty_2Ellist_2Ellist @ A_27a ) @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.90 @ ( lam @ ( ty_2Ellist_2Ellist @ A_27a )
% 5.66/5.90 @ ^ [V1t: $i] : ( ap @ ( ap @ ( c_2Ellist_2ELAPPEND @ A_27a ) @ V1t ) @ ( ap @ ( c_2Ellist_2ELREPEAT @ A_27a ) @ V0l ) ) ) )
% 5.66/5.90 @ ( ap @ ( c_2Ellist_2ELTL @ A_27a ) @ ( ap @ ( c_2Ellist_2EfromList @ A_27a ) @ V0l ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Ellist_2ELLENGTH__LREPEAT,axiom,
% 5.66/5.90 ! [A_27a: del,V0l: $i] :
% 5.66/5.90 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.90 => ( ( surj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ ( ap @ ( c_2Ellist_2ELLENGTH @ A_27a ) @ ( ap @ ( c_2Ellist_2ELREPEAT @ A_27a ) @ V0l ) ) )
% 5.66/5.90 = ( surj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Eoption_2Eoption @ ty_2Enum_2Enum ) ) @ ( ap @ ( c_2Elist_2ENULL @ A_27a ) @ V0l ) ) @ ( ap @ ( c_2Eoption_2ESOME @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) @ ( c_2Eoption_2ENONE @ ty_2Enum_2Enum ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 %------------------------------------------------------------------------------
% 5.66/5.90 %------------------------------------------------------------------------------
% 5.66/5.90 thf(tp_c_2Equotient_2E_2D_2D_3E,type,
% 5.66/5.90 c_2Equotient_2E_2D_2D_3E: del > del > del > del > $i ).
% 5.66/5.90
% 5.66/5.90 thf(mem_c_2Equotient_2E_2D_2D_3E,axiom,
% 5.66/5.90 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del] : ( mem @ ( c_2Equotient_2E_2D_2D_3E @ A_27a @ A_27b @ A_27c @ A_27d ) @ ( arr @ ( arr @ A_27a @ A_27c ) @ ( arr @ ( arr @ A_27b @ A_27d ) @ ( arr @ ( arr @ A_27c @ A_27b ) @ ( arr @ A_27a @ A_27d ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(tp_c_2Equotient_2E_3D_3D_3D_3E,type,
% 5.66/5.90 c_2Equotient_2E_3D_3D_3D_3E: del > del > $i ).
% 5.66/5.90
% 5.66/5.90 thf(mem_c_2Equotient_2E_3D_3D_3D_3E,axiom,
% 5.66/5.90 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Equotient_2E_3D_3D_3D_3E @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) @ ( arr @ ( arr @ A_27b @ ( arr @ A_27b @ bool ) ) @ ( arr @ ( arr @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ A_27b ) @ bool ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(tp_c_2Equotient_2E_3F_21_21,type,
% 5.66/5.90 c_2Equotient_2E_3F_21_21: del > $i ).
% 5.66/5.90
% 5.66/5.90 thf(mem_c_2Equotient_2E_3F_21_21,axiom,
% 5.66/5.90 ! [A_27a: del] : ( mem @ ( c_2Equotient_2E_3F_21_21 @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(tp_c_2Equotient_2EEQUIV,type,
% 5.66/5.90 c_2Equotient_2EEQUIV: del > $i ).
% 5.66/5.90
% 5.66/5.90 thf(mem_c_2Equotient_2EEQUIV,axiom,
% 5.66/5.90 ! [A_27a: del] : ( mem @ ( c_2Equotient_2EEQUIV @ A_27a ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) @ bool ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(tp_c_2Equotient_2EPARTIAL__EQUIV,type,
% 5.66/5.90 c_2Equotient_2EPARTIAL__EQUIV: del > $i ).
% 5.66/5.90
% 5.66/5.90 thf(mem_c_2Equotient_2EPARTIAL__EQUIV,axiom,
% 5.66/5.90 ! [A_27a: del] : ( mem @ ( c_2Equotient_2EPARTIAL__EQUIV @ A_27a ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) @ bool ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(tp_c_2Equotient_2EQUOTIENT,type,
% 5.66/5.90 c_2Equotient_2EQUOTIENT: del > del > $i ).
% 5.66/5.90
% 5.66/5.90 thf(mem_c_2Equotient_2EQUOTIENT,axiom,
% 5.66/5.90 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Equotient_2EQUOTIENT @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) @ ( arr @ ( arr @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27b @ A_27a ) @ bool ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(tp_c_2Equotient_2ERES__EXISTS__EQUIV,type,
% 5.66/5.90 c_2Equotient_2ERES__EXISTS__EQUIV: del > $i ).
% 5.66/5.90
% 5.66/5.90 thf(mem_c_2Equotient_2ERES__EXISTS__EQUIV,axiom,
% 5.66/5.90 ! [A_27a: del] : ( mem @ ( c_2Equotient_2ERES__EXISTS__EQUIV @ A_27a ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(tp_c_2Equotient_2Erespects,type,
% 5.66/5.90 c_2Equotient_2Erespects: del > del > $i ).
% 5.66/5.90
% 5.66/5.90 thf(mem_c_2Equotient_2Erespects,axiom,
% 5.66/5.90 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Equotient_2Erespects @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27b ) ) @ ( arr @ A_27a @ A_27b ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(ax_thm_2Equotient_2EEQUIV__def,axiom,
% 5.66/5.90 ! [A_27a: del,V0E: $i] :
% 5.66/5.90 ( ( mem @ V0E @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( c_2Equotient_2EEQUIV @ A_27a ) @ V0E ) )
% 5.66/5.90 <=> ! [V1x: $i] :
% 5.66/5.90 ( ( mem @ V1x @ A_27a )
% 5.66/5.90 => ! [V2y: $i] :
% 5.66/5.90 ( ( mem @ V2y @ A_27a )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ V0E @ V1x ) @ V2y ) )
% 5.66/5.90 <=> ( ( ap @ V0E @ V1x )
% 5.66/5.90 = ( ap @ V0E @ V2y ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(ax_thm_2Equotient_2EPARTIAL__EQUIV__def,axiom,
% 5.66/5.90 ! [A_27a: del,V0R: $i] :
% 5.66/5.90 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( c_2Equotient_2EPARTIAL__EQUIV @ A_27a ) @ V0R ) )
% 5.66/5.90 <=> ( ? [V1x: $i] :
% 5.66/5.90 ( ( mem @ V1x @ A_27a )
% 5.66/5.90 & ( p @ ( ap @ ( ap @ V0R @ V1x ) @ V1x ) ) )
% 5.66/5.90 & ! [V2x: $i] :
% 5.66/5.90 ( ( mem @ V2x @ A_27a )
% 5.66/5.90 => ! [V3y: $i] :
% 5.66/5.90 ( ( mem @ V3y @ A_27a )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ V0R @ V2x ) @ V3y ) )
% 5.66/5.90 <=> ( ( p @ ( ap @ ( ap @ V0R @ V2x ) @ V2x ) )
% 5.66/5.90 & ( p @ ( ap @ ( ap @ V0R @ V3y ) @ V3y ) )
% 5.66/5.90 & ( ( ap @ V0R @ V2x )
% 5.66/5.90 = ( ap @ V0R @ V3y ) ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Equotient_2EEQUIV__IMP__PARTIAL__EQUIV,axiom,
% 5.66/5.90 ! [A_27a: del,V0R: $i] :
% 5.66/5.90 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( c_2Equotient_2EEQUIV @ A_27a ) @ V0R ) )
% 5.66/5.90 => ( p @ ( ap @ ( c_2Equotient_2EPARTIAL__EQUIV @ A_27a ) @ V0R ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(ax_thm_2Equotient_2EQUOTIENT__def,axiom,
% 5.66/5.90 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.66/5.90 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.90 => ! [V1abs: $i] :
% 5.66/5.90 ( ( mem @ V1abs @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.90 => ! [V2rep: $i] :
% 5.66/5.90 ( ( mem @ V2rep @ ( arr @ A_27b @ A_27a ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2EQUOTIENT @ A_27a @ A_27b ) @ V0R ) @ V1abs ) @ V2rep ) )
% 5.66/5.90 <=> ( ! [V3a: $i] :
% 5.66/5.90 ( ( mem @ V3a @ A_27b )
% 5.66/5.90 => ( ( ap @ V1abs @ ( ap @ V2rep @ V3a ) )
% 5.66/5.90 = V3a ) )
% 5.66/5.90 & ! [V4a: $i] :
% 5.66/5.90 ( ( mem @ V4a @ A_27b )
% 5.66/5.90 => ( p @ ( ap @ ( ap @ V0R @ ( ap @ V2rep @ V4a ) ) @ ( ap @ V2rep @ V4a ) ) ) )
% 5.66/5.90 & ! [V5r: $i] :
% 5.66/5.90 ( ( mem @ V5r @ A_27a )
% 5.66/5.90 => ! [V6s: $i] :
% 5.66/5.90 ( ( mem @ V6s @ A_27a )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ V0R @ V5r ) @ V6s ) )
% 5.66/5.90 <=> ( ( p @ ( ap @ ( ap @ V0R @ V5r ) @ V5r ) )
% 5.66/5.90 & ( p @ ( ap @ ( ap @ V0R @ V6s ) @ V6s ) )
% 5.66/5.90 & ( ( ap @ V1abs @ V5r )
% 5.66/5.90 = ( ap @ V1abs @ V6s ) ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Equotient_2EQUOTIENT__ABS__REP,axiom,
% 5.66/5.90 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.66/5.90 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.90 => ! [V1abs: $i] :
% 5.66/5.90 ( ( mem @ V1abs @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.90 => ! [V2rep: $i] :
% 5.66/5.90 ( ( mem @ V2rep @ ( arr @ A_27b @ A_27a ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2EQUOTIENT @ A_27a @ A_27b ) @ V0R ) @ V1abs ) @ V2rep ) )
% 5.66/5.90 => ! [V3a: $i] :
% 5.66/5.90 ( ( mem @ V3a @ A_27b )
% 5.66/5.90 => ( ( ap @ V1abs @ ( ap @ V2rep @ V3a ) )
% 5.66/5.90 = V3a ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Equotient_2EQUOTIENT__REP__REFL,axiom,
% 5.66/5.90 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.66/5.90 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.90 => ! [V1abs: $i] :
% 5.66/5.90 ( ( mem @ V1abs @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.90 => ! [V2rep: $i] :
% 5.66/5.90 ( ( mem @ V2rep @ ( arr @ A_27b @ A_27a ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2EQUOTIENT @ A_27a @ A_27b ) @ V0R ) @ V1abs ) @ V2rep ) )
% 5.66/5.90 => ! [V3a: $i] :
% 5.66/5.90 ( ( mem @ V3a @ A_27b )
% 5.66/5.90 => ( p @ ( ap @ ( ap @ V0R @ ( ap @ V2rep @ V3a ) ) @ ( ap @ V2rep @ V3a ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Equotient_2EQUOTIENT__REL,axiom,
% 5.66/5.90 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.66/5.90 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.90 => ! [V1abs: $i] :
% 5.66/5.90 ( ( mem @ V1abs @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.90 => ! [V2rep: $i] :
% 5.66/5.90 ( ( mem @ V2rep @ ( arr @ A_27b @ A_27a ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2EQUOTIENT @ A_27a @ A_27b ) @ V0R ) @ V1abs ) @ V2rep ) )
% 5.66/5.90 => ! [V3r: $i] :
% 5.66/5.90 ( ( mem @ V3r @ A_27a )
% 5.66/5.90 => ! [V4s: $i] :
% 5.66/5.90 ( ( mem @ V4s @ A_27a )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ V0R @ V3r ) @ V4s ) )
% 5.66/5.90 <=> ( ( p @ ( ap @ ( ap @ V0R @ V3r ) @ V3r ) )
% 5.66/5.90 & ( p @ ( ap @ ( ap @ V0R @ V4s ) @ V4s ) )
% 5.66/5.90 & ( ( ap @ V1abs @ V3r )
% 5.66/5.90 = ( ap @ V1abs @ V4s ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Equotient_2EQUOTIENT__REL__ABS,axiom,
% 5.66/5.90 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.66/5.90 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.90 => ! [V1abs: $i] :
% 5.66/5.90 ( ( mem @ V1abs @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.90 => ! [V2rep: $i] :
% 5.66/5.90 ( ( mem @ V2rep @ ( arr @ A_27b @ A_27a ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2EQUOTIENT @ A_27a @ A_27b ) @ V0R ) @ V1abs ) @ V2rep ) )
% 5.66/5.90 => ! [V3r: $i] :
% 5.66/5.90 ( ( mem @ V3r @ A_27a )
% 5.66/5.90 => ! [V4s: $i] :
% 5.66/5.90 ( ( mem @ V4s @ A_27a )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ V0R @ V3r ) @ V4s ) )
% 5.66/5.90 => ( ( ap @ V1abs @ V3r )
% 5.66/5.90 = ( ap @ V1abs @ V4s ) ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Equotient_2EQUOTIENT__REL__ABS__EQ,axiom,
% 5.66/5.90 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.66/5.90 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.90 => ! [V1abs: $i] :
% 5.66/5.90 ( ( mem @ V1abs @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.90 => ! [V2rep: $i] :
% 5.66/5.90 ( ( mem @ V2rep @ ( arr @ A_27b @ A_27a ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2EQUOTIENT @ A_27a @ A_27b ) @ V0R ) @ V1abs ) @ V2rep ) )
% 5.66/5.90 => ! [V3r: $i] :
% 5.66/5.90 ( ( mem @ V3r @ A_27a )
% 5.66/5.90 => ! [V4s: $i] :
% 5.66/5.90 ( ( mem @ V4s @ A_27a )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ V0R @ V3r ) @ V3r ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ V0R @ V4s ) @ V4s ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ V0R @ V3r ) @ V4s ) )
% 5.66/5.90 <=> ( ( ap @ V1abs @ V3r )
% 5.66/5.90 = ( ap @ V1abs @ V4s ) ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Equotient_2EQUOTIENT__REL__REP,axiom,
% 5.66/5.90 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.66/5.90 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.90 => ! [V1abs: $i] :
% 5.66/5.90 ( ( mem @ V1abs @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.90 => ! [V2rep: $i] :
% 5.66/5.90 ( ( mem @ V2rep @ ( arr @ A_27b @ A_27a ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2EQUOTIENT @ A_27a @ A_27b ) @ V0R ) @ V1abs ) @ V2rep ) )
% 5.66/5.90 => ! [V3a: $i] :
% 5.66/5.90 ( ( mem @ V3a @ A_27b )
% 5.66/5.90 => ! [V4b: $i] :
% 5.66/5.90 ( ( mem @ V4b @ A_27b )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ V0R @ ( ap @ V2rep @ V3a ) ) @ ( ap @ V2rep @ V4b ) ) )
% 5.66/5.90 <=> ( V3a = V4b ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Equotient_2EQUOTIENT__REP__ABS,axiom,
% 5.66/5.90 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.66/5.90 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.90 => ! [V1abs: $i] :
% 5.66/5.90 ( ( mem @ V1abs @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.90 => ! [V2rep: $i] :
% 5.66/5.90 ( ( mem @ V2rep @ ( arr @ A_27b @ A_27a ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2EQUOTIENT @ A_27a @ A_27b ) @ V0R ) @ V1abs ) @ V2rep ) )
% 5.66/5.90 => ! [V3r: $i] :
% 5.66/5.90 ( ( mem @ V3r @ A_27a )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ V0R @ V3r ) @ V3r ) )
% 5.66/5.90 => ( p @ ( ap @ ( ap @ V0R @ ( ap @ V2rep @ ( ap @ V1abs @ V3r ) ) ) @ V3r ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Equotient_2EIDENTITY__EQUIV,axiom,
% 5.66/5.90 ! [A_27a: del] : ( p @ ( ap @ ( c_2Equotient_2EEQUIV @ A_27a ) @ ( c_2Emin_2E_3D @ A_27a ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Equotient_2EIDENTITY__QUOTIENT,axiom,
% 5.66/5.90 ! [A_27a: del] : ( p @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2EQUOTIENT @ A_27a @ A_27a ) @ ( c_2Emin_2E_3D @ A_27a ) ) @ ( c_2Ecombin_2EI @ A_27a ) ) @ ( c_2Ecombin_2EI @ A_27a ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Equotient_2EEQUIV__REFL__SYM__TRANS,axiom,
% 5.66/5.90 ! [A_27a: del,V0R: $i] :
% 5.66/5.90 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.90 => ( ! [V1x: $i] :
% 5.66/5.90 ( ( mem @ V1x @ A_27a )
% 5.66/5.90 => ! [V2y: $i] :
% 5.66/5.90 ( ( mem @ V2y @ A_27a )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ V0R @ V1x ) @ V2y ) )
% 5.66/5.90 <=> ( ( ap @ V0R @ V1x )
% 5.66/5.90 = ( ap @ V0R @ V2y ) ) ) ) )
% 5.66/5.90 <=> ( ! [V3x: $i] :
% 5.66/5.90 ( ( mem @ V3x @ A_27a )
% 5.66/5.90 => ( p @ ( ap @ ( ap @ V0R @ V3x ) @ V3x ) ) )
% 5.66/5.90 & ! [V4x: $i] :
% 5.66/5.90 ( ( mem @ V4x @ A_27a )
% 5.66/5.90 => ! [V5y: $i] :
% 5.66/5.90 ( ( mem @ V5y @ A_27a )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ V0R @ V4x ) @ V5y ) )
% 5.66/5.90 => ( p @ ( ap @ ( ap @ V0R @ V5y ) @ V4x ) ) ) ) )
% 5.66/5.90 & ! [V6x: $i] :
% 5.66/5.90 ( ( mem @ V6x @ A_27a )
% 5.66/5.90 => ! [V7y: $i] :
% 5.66/5.90 ( ( mem @ V7y @ A_27a )
% 5.66/5.90 => ! [V8z: $i] :
% 5.66/5.90 ( ( mem @ V8z @ A_27a )
% 5.66/5.90 => ( ( ( p @ ( ap @ ( ap @ V0R @ V6x ) @ V7y ) )
% 5.66/5.90 & ( p @ ( ap @ ( ap @ V0R @ V7y ) @ V8z ) ) )
% 5.66/5.90 => ( p @ ( ap @ ( ap @ V0R @ V6x ) @ V8z ) ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Equotient_2EQUOTIENT__SYM,axiom,
% 5.66/5.90 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.66/5.90 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.90 => ! [V1abs: $i] :
% 5.66/5.90 ( ( mem @ V1abs @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.90 => ! [V2rep: $i] :
% 5.66/5.90 ( ( mem @ V2rep @ ( arr @ A_27b @ A_27a ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2EQUOTIENT @ A_27a @ A_27b ) @ V0R ) @ V1abs ) @ V2rep ) )
% 5.66/5.90 => ! [V3x: $i] :
% 5.66/5.90 ( ( mem @ V3x @ A_27a )
% 5.66/5.90 => ! [V4y: $i] :
% 5.66/5.90 ( ( mem @ V4y @ A_27a )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ V0R @ V3x ) @ V4y ) )
% 5.66/5.90 => ( p @ ( ap @ ( ap @ V0R @ V4y ) @ V3x ) ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Equotient_2EQUOTIENT__TRANS,axiom,
% 5.66/5.90 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.66/5.90 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.90 => ! [V1abs: $i] :
% 5.66/5.90 ( ( mem @ V1abs @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.90 => ! [V2rep: $i] :
% 5.66/5.90 ( ( mem @ V2rep @ ( arr @ A_27b @ A_27a ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2EQUOTIENT @ A_27a @ A_27b ) @ V0R ) @ V1abs ) @ V2rep ) )
% 5.66/5.90 => ! [V3x: $i] :
% 5.66/5.90 ( ( mem @ V3x @ A_27a )
% 5.66/5.90 => ! [V4y: $i] :
% 5.66/5.90 ( ( mem @ V4y @ A_27a )
% 5.66/5.90 => ! [V5z: $i] :
% 5.66/5.90 ( ( mem @ V5z @ A_27a )
% 5.66/5.90 => ( ( ( p @ ( ap @ ( ap @ V0R @ V3x ) @ V4y ) )
% 5.66/5.90 & ( p @ ( ap @ ( ap @ V0R @ V4y ) @ V5z ) ) )
% 5.66/5.90 => ( p @ ( ap @ ( ap @ V0R @ V3x ) @ V5z ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(ax_thm_2Equotient_2EFUN__MAP,axiom,
% 5.66/5.90 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0f: $i] :
% 5.66/5.90 ( ( mem @ V0f @ ( arr @ A_27a @ A_27c ) )
% 5.66/5.90 => ! [V1g: $i] :
% 5.66/5.90 ( ( mem @ V1g @ ( arr @ A_27b @ A_27d ) )
% 5.66/5.90 => ( ( ap @ ( ap @ ( c_2Equotient_2E_2D_2D_3E @ A_27a @ A_27b @ A_27c @ A_27d ) @ V0f ) @ V1g )
% 5.66/5.90 = ( lam @ ( arr @ A_27c @ A_27b )
% 5.66/5.90 @ ^ [V2h: $i] :
% 5.66/5.90 ( lam @ A_27a
% 5.66/5.90 @ ^ [V3x: $i] : ( ap @ V1g @ ( ap @ V2h @ ( ap @ V0f @ V3x ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Equotient_2EFUN__MAP__THM,axiom,
% 5.66/5.90 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0f: $i] :
% 5.66/5.90 ( ( mem @ V0f @ ( arr @ A_27a @ A_27c ) )
% 5.66/5.90 => ! [V1g: $i] :
% 5.66/5.90 ( ( mem @ V1g @ ( arr @ A_27b @ A_27d ) )
% 5.66/5.90 => ! [V2h: $i] :
% 5.66/5.90 ( ( mem @ V2h @ ( arr @ A_27c @ A_27b ) )
% 5.66/5.90 => ! [V3x: $i] :
% 5.66/5.90 ( ( mem @ V3x @ A_27a )
% 5.66/5.90 => ( ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2E_2D_2D_3E @ A_27a @ A_27b @ A_27c @ A_27d ) @ V0f ) @ V1g ) @ V2h ) @ V3x )
% 5.66/5.90 = ( ap @ V1g @ ( ap @ V2h @ ( ap @ V0f @ V3x ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Equotient_2EFUN__MAP__I,axiom,
% 5.66/5.90 ! [A_27a: del,A_27b: del] :
% 5.66/5.90 ( ( ap @ ( ap @ ( c_2Equotient_2E_2D_2D_3E @ A_27a @ A_27b @ A_27a @ A_27b ) @ ( c_2Ecombin_2EI @ A_27a ) ) @ ( c_2Ecombin_2EI @ A_27b ) )
% 5.66/5.90 = ( c_2Ecombin_2EI @ ( arr @ A_27a @ A_27b ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Equotient_2EIN__FUN,axiom,
% 5.66/5.90 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.90 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.90 => ! [V1g: $i] :
% 5.66/5.90 ( ( mem @ V1g @ ( arr @ bool @ bool ) )
% 5.66/5.90 => ! [V2s: $i] :
% 5.66/5.90 ( ( mem @ V2s @ ( arr @ A_27b @ bool ) )
% 5.66/5.90 => ! [V3x: $i] :
% 5.66/5.90 ( ( mem @ V3x @ A_27a )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3x ) @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2E_2D_2D_3E @ A_27a @ bool @ A_27b @ bool ) @ V0f ) @ V1g ) @ V2s ) ) )
% 5.66/5.90 <=> ( p @ ( ap @ V1g @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ ( ap @ V0f @ V3x ) ) @ V2s ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(ax_thm_2Equotient_2EFUN__REL,axiom,
% 5.66/5.90 ! [A_27a: del,A_27b: del,V0R1: $i] :
% 5.66/5.90 ( ( mem @ V0R1 @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.90 => ! [V1R2: $i] :
% 5.66/5.90 ( ( mem @ V1R2 @ ( arr @ A_27b @ ( arr @ A_27b @ bool ) ) )
% 5.66/5.90 => ! [V2f: $i] :
% 5.66/5.90 ( ( mem @ V2f @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.90 => ! [V3g: $i] :
% 5.66/5.90 ( ( mem @ V3g @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2E_3D_3D_3D_3E @ A_27a @ A_27b ) @ V0R1 ) @ V1R2 ) @ V2f ) @ V3g ) )
% 5.66/5.90 <=> ! [V4x: $i] :
% 5.66/5.90 ( ( mem @ V4x @ A_27a )
% 5.66/5.90 => ! [V5y: $i] :
% 5.66/5.90 ( ( mem @ V5y @ A_27a )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ V0R1 @ V4x ) @ V5y ) )
% 5.66/5.90 => ( p @ ( ap @ ( ap @ V1R2 @ ( ap @ V2f @ V4x ) ) @ ( ap @ V3g @ V5y ) ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Equotient_2EFUN__REL__EQ,axiom,
% 5.66/5.90 ! [A_27a: del,A_27b: del] :
% 5.66/5.90 ( ( ap @ ( ap @ ( c_2Equotient_2E_3D_3D_3D_3E @ A_27a @ A_27b ) @ ( c_2Emin_2E_3D @ A_27a ) ) @ ( c_2Emin_2E_3D @ A_27b ) )
% 5.66/5.90 = ( c_2Emin_2E_3D @ ( arr @ A_27a @ A_27b ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Equotient_2EFUN__QUOTIENT,axiom,
% 5.66/5.90 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0R1: $i] :
% 5.66/5.90 ( ( mem @ V0R1 @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.90 => ! [V1abs1: $i] :
% 5.66/5.90 ( ( mem @ V1abs1 @ ( arr @ A_27a @ A_27c ) )
% 5.66/5.90 => ! [V2rep1: $i] :
% 5.66/5.90 ( ( mem @ V2rep1 @ ( arr @ A_27c @ A_27a ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2EQUOTIENT @ A_27a @ A_27c ) @ V0R1 ) @ V1abs1 ) @ V2rep1 ) )
% 5.66/5.90 => ! [V3R2: $i] :
% 5.66/5.90 ( ( mem @ V3R2 @ ( arr @ A_27b @ ( arr @ A_27b @ bool ) ) )
% 5.66/5.90 => ! [V4abs2: $i] :
% 5.66/5.90 ( ( mem @ V4abs2 @ ( arr @ A_27b @ A_27d ) )
% 5.66/5.90 => ! [V5rep2: $i] :
% 5.66/5.90 ( ( mem @ V5rep2 @ ( arr @ A_27d @ A_27b ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2EQUOTIENT @ A_27b @ A_27d ) @ V3R2 ) @ V4abs2 ) @ V5rep2 ) )
% 5.66/5.90 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2EQUOTIENT @ ( arr @ A_27a @ A_27b ) @ ( arr @ A_27c @ A_27d ) ) @ ( ap @ ( ap @ ( c_2Equotient_2E_3D_3D_3D_3E @ A_27a @ A_27b ) @ V0R1 ) @ V3R2 ) ) @ ( ap @ ( ap @ ( c_2Equotient_2E_2D_2D_3E @ A_27c @ A_27b @ A_27a @ A_27d ) @ V2rep1 ) @ V4abs2 ) ) @ ( ap @ ( ap @ ( c_2Equotient_2E_2D_2D_3E @ A_27a @ A_27d @ A_27c @ A_27b ) @ V1abs1 ) @ V5rep2 ) ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(ax_thm_2Equotient_2Erespects__def,axiom,
% 5.66/5.90 ! [A_27a: del,A_27b: del] :
% 5.66/5.90 ( ( c_2Equotient_2Erespects @ A_27a @ A_27b )
% 5.66/5.90 = ( c_2Ecombin_2EW @ A_27a @ A_27b ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Equotient_2ERESPECTS,axiom,
% 5.66/5.90 ! [A_27a: del,V0R: $i] :
% 5.66/5.90 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.90 => ! [V1x: $i] :
% 5.66/5.90 ( ( mem @ V1x @ A_27a )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( c_2Equotient_2Erespects @ A_27a @ bool ) @ V0R ) @ V1x ) )
% 5.66/5.90 <=> ( p @ ( ap @ ( ap @ V0R @ V1x ) @ V1x ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Equotient_2EIN__RESPECTS,axiom,
% 5.66/5.90 ! [A_27a: del,V0R: $i] :
% 5.66/5.90 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.90 => ! [V1x: $i] :
% 5.66/5.90 ( ( mem @ V1x @ A_27a )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V1x ) @ ( ap @ ( c_2Equotient_2Erespects @ A_27a @ bool ) @ V0R ) ) )
% 5.66/5.90 <=> ( p @ ( ap @ ( ap @ V0R @ V1x ) @ V1x ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Equotient_2ERESPECTS__THM,axiom,
% 5.66/5.90 ! [A_27a: del,A_27b: del,V0R1: $i] :
% 5.66/5.90 ( ( mem @ V0R1 @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.90 => ! [V1R2: $i] :
% 5.66/5.90 ( ( mem @ V1R2 @ ( arr @ A_27b @ ( arr @ A_27b @ bool ) ) )
% 5.66/5.90 => ! [V2f: $i] :
% 5.66/5.90 ( ( mem @ V2f @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( c_2Equotient_2Erespects @ ( arr @ A_27a @ A_27b ) @ bool ) @ ( ap @ ( ap @ ( c_2Equotient_2E_3D_3D_3D_3E @ A_27a @ A_27b ) @ V0R1 ) @ V1R2 ) ) @ V2f ) )
% 5.66/5.90 <=> ! [V3x: $i] :
% 5.66/5.90 ( ( mem @ V3x @ A_27a )
% 5.66/5.90 => ! [V4y: $i] :
% 5.66/5.90 ( ( mem @ V4y @ A_27a )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ V0R1 @ V3x ) @ V4y ) )
% 5.66/5.90 => ( p @ ( ap @ ( ap @ V1R2 @ ( ap @ V2f @ V3x ) ) @ ( ap @ V2f @ V4y ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Equotient_2ERESPECTS__MP,axiom,
% 5.66/5.90 ! [A_27a: del,A_27b: del,V0R1: $i] :
% 5.66/5.90 ( ( mem @ V0R1 @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.90 => ! [V1R2: $i] :
% 5.66/5.90 ( ( mem @ V1R2 @ ( arr @ A_27b @ ( arr @ A_27b @ bool ) ) )
% 5.66/5.90 => ! [V2f: $i] :
% 5.66/5.90 ( ( mem @ V2f @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.90 => ! [V3x: $i] :
% 5.66/5.90 ( ( mem @ V3x @ A_27a )
% 5.66/5.90 => ! [V4y: $i] :
% 5.66/5.90 ( ( mem @ V4y @ A_27a )
% 5.66/5.90 => ( ( ( p @ ( ap @ ( ap @ ( c_2Equotient_2Erespects @ ( arr @ A_27a @ A_27b ) @ bool ) @ ( ap @ ( ap @ ( c_2Equotient_2E_3D_3D_3D_3E @ A_27a @ A_27b ) @ V0R1 ) @ V1R2 ) ) @ V2f ) )
% 5.66/5.90 & ( p @ ( ap @ ( ap @ V0R1 @ V3x ) @ V4y ) ) )
% 5.66/5.90 => ( p @ ( ap @ ( ap @ V1R2 @ ( ap @ V2f @ V3x ) ) @ ( ap @ V2f @ V4y ) ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Equotient_2ERESPECTS__REP__ABS,axiom,
% 5.66/5.90 ! [A_27a: del,A_27b: del,A_27c: del,V0R1: $i] :
% 5.66/5.90 ( ( mem @ V0R1 @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.90 => ! [V1abs1: $i] :
% 5.66/5.90 ( ( mem @ V1abs1 @ ( arr @ A_27a @ A_27c ) )
% 5.66/5.90 => ! [V2rep1: $i] :
% 5.66/5.90 ( ( mem @ V2rep1 @ ( arr @ A_27c @ A_27a ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2EQUOTIENT @ A_27a @ A_27c ) @ V0R1 ) @ V1abs1 ) @ V2rep1 ) )
% 5.66/5.90 => ! [V3R2: $i] :
% 5.66/5.90 ( ( mem @ V3R2 @ ( arr @ A_27b @ ( arr @ A_27b @ bool ) ) )
% 5.66/5.90 => ! [V4f: $i] :
% 5.66/5.90 ( ( mem @ V4f @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.90 => ! [V5x: $i] :
% 5.66/5.90 ( ( mem @ V5x @ A_27a )
% 5.66/5.90 => ( ( ( p @ ( ap @ ( ap @ ( c_2Equotient_2Erespects @ ( arr @ A_27a @ A_27b ) @ bool ) @ ( ap @ ( ap @ ( c_2Equotient_2E_3D_3D_3D_3E @ A_27a @ A_27b ) @ V0R1 ) @ V3R2 ) ) @ V4f ) )
% 5.66/5.90 & ( p @ ( ap @ ( ap @ V0R1 @ V5x ) @ V5x ) ) )
% 5.66/5.90 => ( p @ ( ap @ ( ap @ V3R2 @ ( ap @ V4f @ ( ap @ V2rep1 @ ( ap @ V1abs1 @ V5x ) ) ) ) @ ( ap @ V4f @ V5x ) ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Equotient_2ERESPECTS__o,axiom,
% 5.66/5.90 ! [A_27a: del,A_27b: del,A_27c: del,V0R1: $i] :
% 5.66/5.90 ( ( mem @ V0R1 @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.90 => ! [V1R2: $i] :
% 5.66/5.90 ( ( mem @ V1R2 @ ( arr @ A_27b @ ( arr @ A_27b @ bool ) ) )
% 5.66/5.90 => ! [V2R3: $i] :
% 5.66/5.90 ( ( mem @ V2R3 @ ( arr @ A_27c @ ( arr @ A_27c @ bool ) ) )
% 5.66/5.90 => ! [V3f: $i] :
% 5.66/5.90 ( ( mem @ V3f @ ( arr @ A_27b @ A_27c ) )
% 5.66/5.90 => ! [V4g: $i] :
% 5.66/5.90 ( ( mem @ V4g @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.90 => ( ( ( p @ ( ap @ ( ap @ ( c_2Equotient_2Erespects @ ( arr @ A_27b @ A_27c ) @ bool ) @ ( ap @ ( ap @ ( c_2Equotient_2E_3D_3D_3D_3E @ A_27b @ A_27c ) @ V1R2 ) @ V2R3 ) ) @ V3f ) )
% 5.66/5.90 & ( p @ ( ap @ ( ap @ ( c_2Equotient_2Erespects @ ( arr @ A_27a @ A_27b ) @ bool ) @ ( ap @ ( ap @ ( c_2Equotient_2E_3D_3D_3D_3E @ A_27a @ A_27b ) @ V0R1 ) @ V1R2 ) ) @ V4g ) ) )
% 5.66/5.90 => ( p @ ( ap @ ( ap @ ( c_2Equotient_2Erespects @ ( arr @ A_27a @ A_27c ) @ bool ) @ ( ap @ ( ap @ ( c_2Equotient_2E_3D_3D_3D_3E @ A_27a @ A_27c ) @ V0R1 ) @ V2R3 ) ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27a @ A_27c @ A_27b ) @ V3f ) @ V4g ) ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(ax_thm_2Equotient_2E_3F_21_21,axiom,
% 5.66/5.90 ! [A_27a: del,V0P: $i] :
% 5.66/5.90 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( c_2Equotient_2E_3F_21_21 @ A_27a ) @ V0P ) )
% 5.66/5.90 <=> ( p @ ( ap @ ( c_2Ebool_2E_3F_21 @ A_27a ) @ V0P ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(ax_thm_2Equotient_2ERES__EXISTS__EQUIV__DEF,axiom,
% 5.66/5.90 ! [A_27a: del] :
% 5.66/5.90 ( ( c_2Equotient_2ERES__EXISTS__EQUIV @ A_27a )
% 5.66/5.90 = ( lam @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) )
% 5.66/5.90 @ ^ [V0R: $i] :
% 5.66/5.90 ( lam @ ( arr @ A_27a @ bool )
% 5.66/5.90 @ ^ [V1P: $i] :
% 5.66/5.90 ( ap
% 5.66/5.90 @ ( ap @ c_2Ebool_2E_2F_5C
% 5.66/5.90 @ ( ap @ ( ap @ ( c_2Ebool_2ERES__EXISTS @ A_27a ) @ ( ap @ ( c_2Equotient_2Erespects @ A_27a @ bool ) @ V0R ) )
% 5.66/5.90 @ ( lam @ A_27a
% 5.66/5.90 @ ^ [V2x: $i] : ( ap @ V1P @ V2x ) ) ) )
% 5.66/5.90 @ ( ap @ ( ap @ ( c_2Ebool_2ERES__FORALL @ A_27a ) @ ( ap @ ( c_2Equotient_2Erespects @ A_27a @ bool ) @ V0R ) )
% 5.66/5.90 @ ( lam @ A_27a
% 5.66/5.90 @ ^ [V3x: $i] :
% 5.66/5.90 ( ap @ ( ap @ ( c_2Ebool_2ERES__FORALL @ A_27a ) @ ( ap @ ( c_2Equotient_2Erespects @ A_27a @ bool ) @ V0R ) )
% 5.66/5.90 @ ( lam @ A_27a
% 5.66/5.90 @ ^ [V4y: $i] : ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V1P @ V3x ) ) @ ( ap @ V1P @ V4y ) ) ) @ ( ap @ ( ap @ V0R @ V3x ) @ V4y ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Equotient_2ERES__EXISTS__EQUIV,axiom,
% 5.66/5.90 ! [A_27a: del,V0R: $i] :
% 5.66/5.90 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.90 => ! [V1m: $i] :
% 5.66/5.90 ( ( mem @ V1m @ ( arr @ A_27a @ bool ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( c_2Equotient_2ERES__EXISTS__EQUIV @ A_27a ) @ V0R ) @ V1m ) )
% 5.66/5.90 <=> ( ( p
% 5.66/5.90 @ ( ap @ ( ap @ ( c_2Ebool_2ERES__EXISTS @ A_27a ) @ ( ap @ ( c_2Equotient_2Erespects @ A_27a @ bool ) @ V0R ) )
% 5.66/5.90 @ ( lam @ A_27a
% 5.66/5.90 @ ^ [V2x: $i] : ( ap @ V1m @ V2x ) ) ) )
% 5.66/5.90 & ( p
% 5.66/5.90 @ ( ap @ ( ap @ ( c_2Ebool_2ERES__FORALL @ A_27a ) @ ( ap @ ( c_2Equotient_2Erespects @ A_27a @ bool ) @ V0R ) )
% 5.66/5.90 @ ( lam @ A_27a
% 5.66/5.90 @ ^ [V3x: $i] :
% 5.66/5.90 ( ap @ ( ap @ ( c_2Ebool_2ERES__FORALL @ A_27a ) @ ( ap @ ( c_2Equotient_2Erespects @ A_27a @ bool ) @ V0R ) )
% 5.66/5.90 @ ( lam @ A_27a
% 5.66/5.90 @ ^ [V4y: $i] : ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V1m @ V3x ) ) @ ( ap @ V1m @ V4y ) ) ) @ ( ap @ ( ap @ V0R @ V3x ) @ V4y ) ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Equotient_2EFUN__REL__EQ__REL,axiom,
% 5.66/5.90 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0R1: $i] :
% 5.66/5.90 ( ( mem @ V0R1 @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.90 => ! [V1abs1: $i] :
% 5.66/5.90 ( ( mem @ V1abs1 @ ( arr @ A_27a @ A_27c ) )
% 5.66/5.90 => ! [V2rep1: $i] :
% 5.66/5.90 ( ( mem @ V2rep1 @ ( arr @ A_27c @ A_27a ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2EQUOTIENT @ A_27a @ A_27c ) @ V0R1 ) @ V1abs1 ) @ V2rep1 ) )
% 5.66/5.90 => ! [V3R2: $i] :
% 5.66/5.90 ( ( mem @ V3R2 @ ( arr @ A_27b @ ( arr @ A_27b @ bool ) ) )
% 5.66/5.90 => ! [V4abs2: $i] :
% 5.66/5.90 ( ( mem @ V4abs2 @ ( arr @ A_27b @ A_27d ) )
% 5.66/5.90 => ! [V5rep2: $i] :
% 5.66/5.90 ( ( mem @ V5rep2 @ ( arr @ A_27d @ A_27b ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2EQUOTIENT @ A_27b @ A_27d ) @ V3R2 ) @ V4abs2 ) @ V5rep2 ) )
% 5.66/5.90 => ! [V6f: $i] :
% 5.66/5.90 ( ( mem @ V6f @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.90 => ! [V7g: $i] :
% 5.66/5.90 ( ( mem @ V7g @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2E_3D_3D_3D_3E @ A_27a @ A_27b ) @ V0R1 ) @ V3R2 ) @ V6f ) @ V7g ) )
% 5.66/5.90 <=> ( ( p @ ( ap @ ( ap @ ( c_2Equotient_2Erespects @ ( arr @ A_27a @ A_27b ) @ bool ) @ ( ap @ ( ap @ ( c_2Equotient_2E_3D_3D_3D_3E @ A_27a @ A_27b ) @ V0R1 ) @ V3R2 ) ) @ V6f ) )
% 5.66/5.90 & ( p @ ( ap @ ( ap @ ( c_2Equotient_2Erespects @ ( arr @ A_27a @ A_27b ) @ bool ) @ ( ap @ ( ap @ ( c_2Equotient_2E_3D_3D_3D_3E @ A_27a @ A_27b ) @ V0R1 ) @ V3R2 ) ) @ V7g ) )
% 5.66/5.90 & ( ( ap @ ( ap @ ( ap @ ( c_2Equotient_2E_2D_2D_3E @ A_27c @ A_27b @ A_27a @ A_27d ) @ V2rep1 ) @ V4abs2 ) @ V6f )
% 5.66/5.90 = ( ap @ ( ap @ ( ap @ ( c_2Equotient_2E_2D_2D_3E @ A_27c @ A_27b @ A_27a @ A_27d ) @ V2rep1 ) @ V4abs2 ) @ V7g ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Equotient_2EFUN__REL__MP,axiom,
% 5.66/5.90 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0R1: $i] :
% 5.66/5.90 ( ( mem @ V0R1 @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.90 => ! [V1abs1: $i] :
% 5.66/5.90 ( ( mem @ V1abs1 @ ( arr @ A_27a @ A_27c ) )
% 5.66/5.90 => ! [V2rep1: $i] :
% 5.66/5.90 ( ( mem @ V2rep1 @ ( arr @ A_27c @ A_27a ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2EQUOTIENT @ A_27a @ A_27c ) @ V0R1 ) @ V1abs1 ) @ V2rep1 ) )
% 5.66/5.90 => ! [V3R2: $i] :
% 5.66/5.90 ( ( mem @ V3R2 @ ( arr @ A_27b @ ( arr @ A_27b @ bool ) ) )
% 5.66/5.90 => ! [V4abs2: $i] :
% 5.66/5.90 ( ( mem @ V4abs2 @ ( arr @ A_27b @ A_27d ) )
% 5.66/5.90 => ! [V5rep2: $i] :
% 5.66/5.90 ( ( mem @ V5rep2 @ ( arr @ A_27d @ A_27b ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2EQUOTIENT @ A_27b @ A_27d ) @ V3R2 ) @ V4abs2 ) @ V5rep2 ) )
% 5.66/5.90 => ! [V6f: $i] :
% 5.66/5.90 ( ( mem @ V6f @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.90 => ! [V7g: $i] :
% 5.66/5.90 ( ( mem @ V7g @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.90 => ! [V8x: $i] :
% 5.66/5.90 ( ( mem @ V8x @ A_27a )
% 5.66/5.90 => ! [V9y: $i] :
% 5.66/5.90 ( ( mem @ V9y @ A_27a )
% 5.66/5.90 => ( ( ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2E_3D_3D_3D_3E @ A_27a @ A_27b ) @ V0R1 ) @ V3R2 ) @ V6f ) @ V7g ) )
% 5.66/5.90 & ( p @ ( ap @ ( ap @ V0R1 @ V8x ) @ V9y ) ) )
% 5.66/5.90 => ( p @ ( ap @ ( ap @ V3R2 @ ( ap @ V6f @ V8x ) ) @ ( ap @ V7g @ V9y ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Equotient_2EFUN__REL__EQUALS,axiom,
% 5.66/5.90 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0R1: $i] :
% 5.66/5.90 ( ( mem @ V0R1 @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.90 => ! [V1abs1: $i] :
% 5.66/5.90 ( ( mem @ V1abs1 @ ( arr @ A_27a @ A_27c ) )
% 5.66/5.90 => ! [V2rep1: $i] :
% 5.66/5.90 ( ( mem @ V2rep1 @ ( arr @ A_27c @ A_27a ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2EQUOTIENT @ A_27a @ A_27c ) @ V0R1 ) @ V1abs1 ) @ V2rep1 ) )
% 5.66/5.90 => ! [V3R2: $i] :
% 5.66/5.90 ( ( mem @ V3R2 @ ( arr @ A_27b @ ( arr @ A_27b @ bool ) ) )
% 5.66/5.90 => ! [V4abs2: $i] :
% 5.66/5.90 ( ( mem @ V4abs2 @ ( arr @ A_27b @ A_27d ) )
% 5.66/5.90 => ! [V5rep2: $i] :
% 5.66/5.90 ( ( mem @ V5rep2 @ ( arr @ A_27d @ A_27b ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2EQUOTIENT @ A_27b @ A_27d ) @ V3R2 ) @ V4abs2 ) @ V5rep2 ) )
% 5.66/5.90 => ! [V6f: $i] :
% 5.66/5.90 ( ( mem @ V6f @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.90 => ! [V7g: $i] :
% 5.66/5.90 ( ( mem @ V7g @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.90 => ( ( ( p @ ( ap @ ( ap @ ( c_2Equotient_2Erespects @ ( arr @ A_27a @ A_27b ) @ bool ) @ ( ap @ ( ap @ ( c_2Equotient_2E_3D_3D_3D_3E @ A_27a @ A_27b ) @ V0R1 ) @ V3R2 ) ) @ V6f ) )
% 5.66/5.90 & ( p @ ( ap @ ( ap @ ( c_2Equotient_2Erespects @ ( arr @ A_27a @ A_27b ) @ bool ) @ ( ap @ ( ap @ ( c_2Equotient_2E_3D_3D_3D_3E @ A_27a @ A_27b ) @ V0R1 ) @ V3R2 ) ) @ V7g ) ) )
% 5.66/5.90 => ( ( ( ap @ ( ap @ ( ap @ ( c_2Equotient_2E_2D_2D_3E @ A_27c @ A_27b @ A_27a @ A_27d ) @ V2rep1 ) @ V4abs2 ) @ V6f )
% 5.66/5.90 = ( ap @ ( ap @ ( ap @ ( c_2Equotient_2E_2D_2D_3E @ A_27c @ A_27b @ A_27a @ A_27d ) @ V2rep1 ) @ V4abs2 ) @ V7g ) )
% 5.66/5.90 <=> ! [V8x: $i] :
% 5.66/5.90 ( ( mem @ V8x @ A_27a )
% 5.66/5.90 => ! [V9y: $i] :
% 5.66/5.90 ( ( mem @ V9y @ A_27a )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ V0R1 @ V8x ) @ V9y ) )
% 5.66/5.90 => ( p @ ( ap @ ( ap @ V3R2 @ ( ap @ V6f @ V8x ) ) @ ( ap @ V7g @ V9y ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Equotient_2EFUN__REL__IMP,axiom,
% 5.66/5.90 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0R1: $i] :
% 5.66/5.90 ( ( mem @ V0R1 @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.90 => ! [V1abs1: $i] :
% 5.66/5.90 ( ( mem @ V1abs1 @ ( arr @ A_27a @ A_27c ) )
% 5.66/5.90 => ! [V2rep1: $i] :
% 5.66/5.90 ( ( mem @ V2rep1 @ ( arr @ A_27c @ A_27a ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2EQUOTIENT @ A_27a @ A_27c ) @ V0R1 ) @ V1abs1 ) @ V2rep1 ) )
% 5.66/5.90 => ! [V3R2: $i] :
% 5.66/5.90 ( ( mem @ V3R2 @ ( arr @ A_27b @ ( arr @ A_27b @ bool ) ) )
% 5.66/5.90 => ! [V4abs2: $i] :
% 5.66/5.90 ( ( mem @ V4abs2 @ ( arr @ A_27b @ A_27d ) )
% 5.66/5.90 => ! [V5rep2: $i] :
% 5.66/5.90 ( ( mem @ V5rep2 @ ( arr @ A_27d @ A_27b ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2EQUOTIENT @ A_27b @ A_27d ) @ V3R2 ) @ V4abs2 ) @ V5rep2 ) )
% 5.66/5.90 => ! [V6f: $i] :
% 5.66/5.90 ( ( mem @ V6f @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.90 => ! [V7g: $i] :
% 5.66/5.90 ( ( mem @ V7g @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.90 => ( ( ( p @ ( ap @ ( ap @ ( c_2Equotient_2Erespects @ ( arr @ A_27a @ A_27b ) @ bool ) @ ( ap @ ( ap @ ( c_2Equotient_2E_3D_3D_3D_3E @ A_27a @ A_27b ) @ V0R1 ) @ V3R2 ) ) @ V6f ) )
% 5.66/5.90 & ( p @ ( ap @ ( ap @ ( c_2Equotient_2Erespects @ ( arr @ A_27a @ A_27b ) @ bool ) @ ( ap @ ( ap @ ( c_2Equotient_2E_3D_3D_3D_3E @ A_27a @ A_27b ) @ V0R1 ) @ V3R2 ) ) @ V7g ) )
% 5.66/5.90 & ( ( ap @ ( ap @ ( ap @ ( c_2Equotient_2E_2D_2D_3E @ A_27c @ A_27b @ A_27a @ A_27d ) @ V2rep1 ) @ V4abs2 ) @ V6f )
% 5.66/5.90 = ( ap @ ( ap @ ( ap @ ( c_2Equotient_2E_2D_2D_3E @ A_27c @ A_27b @ A_27a @ A_27d ) @ V2rep1 ) @ V4abs2 ) @ V7g ) ) )
% 5.66/5.90 => ! [V8x: $i] :
% 5.66/5.90 ( ( mem @ V8x @ A_27a )
% 5.66/5.90 => ! [V9y: $i] :
% 5.66/5.90 ( ( mem @ V9y @ A_27a )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ V0R1 @ V8x ) @ V9y ) )
% 5.66/5.90 => ( p @ ( ap @ ( ap @ V3R2 @ ( ap @ V6f @ V8x ) ) @ ( ap @ V7g @ V9y ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Equotient_2EEQUALS__PRS,axiom,
% 5.66/5.90 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.66/5.90 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.90 => ! [V1abs: $i] :
% 5.66/5.90 ( ( mem @ V1abs @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.90 => ! [V2rep: $i] :
% 5.66/5.90 ( ( mem @ V2rep @ ( arr @ A_27b @ A_27a ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2EQUOTIENT @ A_27a @ A_27b ) @ V0R ) @ V1abs ) @ V2rep ) )
% 5.66/5.90 => ! [V3x: $i] :
% 5.66/5.90 ( ( mem @ V3x @ A_27b )
% 5.66/5.90 => ! [V4y: $i] :
% 5.66/5.90 ( ( mem @ V4y @ A_27b )
% 5.66/5.90 => ( ( V3x = V4y )
% 5.66/5.90 <=> ( p @ ( ap @ ( ap @ V0R @ ( ap @ V2rep @ V3x ) ) @ ( ap @ V2rep @ V4y ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Equotient_2EEQUALS__RSP,axiom,
% 5.66/5.90 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.66/5.90 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.90 => ! [V1abs: $i] :
% 5.66/5.90 ( ( mem @ V1abs @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.90 => ! [V2rep: $i] :
% 5.66/5.90 ( ( mem @ V2rep @ ( arr @ A_27b @ A_27a ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2EQUOTIENT @ A_27a @ A_27b ) @ V0R ) @ V1abs ) @ V2rep ) )
% 5.66/5.90 => ! [V3x1: $i] :
% 5.66/5.90 ( ( mem @ V3x1 @ A_27a )
% 5.66/5.90 => ! [V4x2: $i] :
% 5.66/5.90 ( ( mem @ V4x2 @ A_27a )
% 5.66/5.90 => ! [V5y1: $i] :
% 5.66/5.90 ( ( mem @ V5y1 @ A_27a )
% 5.66/5.90 => ! [V6y2: $i] :
% 5.66/5.90 ( ( mem @ V6y2 @ A_27a )
% 5.66/5.90 => ( ( ( p @ ( ap @ ( ap @ V0R @ V3x1 ) @ V4x2 ) )
% 5.66/5.90 & ( p @ ( ap @ ( ap @ V0R @ V5y1 ) @ V6y2 ) ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ V0R @ V3x1 ) @ V5y1 ) )
% 5.66/5.90 <=> ( p @ ( ap @ ( ap @ V0R @ V4x2 ) @ V6y2 ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Equotient_2ELAMBDA__PRS,axiom,
% 5.66/5.90 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0R1: $i] :
% 5.66/5.90 ( ( mem @ V0R1 @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.90 => ! [V1abs1: $i] :
% 5.66/5.90 ( ( mem @ V1abs1 @ ( arr @ A_27a @ A_27c ) )
% 5.66/5.90 => ! [V2rep1: $i] :
% 5.66/5.90 ( ( mem @ V2rep1 @ ( arr @ A_27c @ A_27a ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2EQUOTIENT @ A_27a @ A_27c ) @ V0R1 ) @ V1abs1 ) @ V2rep1 ) )
% 5.66/5.90 => ! [V3R2: $i] :
% 5.66/5.90 ( ( mem @ V3R2 @ ( arr @ A_27b @ ( arr @ A_27b @ bool ) ) )
% 5.66/5.90 => ! [V4abs2: $i] :
% 5.66/5.90 ( ( mem @ V4abs2 @ ( arr @ A_27b @ A_27d ) )
% 5.66/5.90 => ! [V5rep2: $i] :
% 5.66/5.90 ( ( mem @ V5rep2 @ ( arr @ A_27d @ A_27b ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2EQUOTIENT @ A_27b @ A_27d ) @ V3R2 ) @ V4abs2 ) @ V5rep2 ) )
% 5.66/5.90 => ! [V6f: $i] :
% 5.66/5.90 ( ( mem @ V6f @ ( arr @ A_27c @ A_27d ) )
% 5.66/5.90 => ( ( lam @ A_27c
% 5.66/5.90 @ ^ [V7x: $i] : ( ap @ V6f @ V7x ) )
% 5.66/5.90 = ( ap @ ( ap @ ( ap @ ( c_2Equotient_2E_2D_2D_3E @ A_27c @ A_27b @ A_27a @ A_27d ) @ V2rep1 ) @ V4abs2 )
% 5.66/5.90 @ ( lam @ A_27a
% 5.66/5.90 @ ^ [V8x: $i] : ( ap @ V5rep2 @ ( ap @ V6f @ ( ap @ V1abs1 @ V8x ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Equotient_2ELAMBDA__PRS1,axiom,
% 5.66/5.90 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0R1: $i] :
% 5.66/5.90 ( ( mem @ V0R1 @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.90 => ! [V1abs1: $i] :
% 5.66/5.90 ( ( mem @ V1abs1 @ ( arr @ A_27a @ A_27c ) )
% 5.66/5.90 => ! [V2rep1: $i] :
% 5.66/5.90 ( ( mem @ V2rep1 @ ( arr @ A_27c @ A_27a ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2EQUOTIENT @ A_27a @ A_27c ) @ V0R1 ) @ V1abs1 ) @ V2rep1 ) )
% 5.66/5.90 => ! [V3R2: $i] :
% 5.66/5.90 ( ( mem @ V3R2 @ ( arr @ A_27b @ ( arr @ A_27b @ bool ) ) )
% 5.66/5.90 => ! [V4abs2: $i] :
% 5.66/5.90 ( ( mem @ V4abs2 @ ( arr @ A_27b @ A_27d ) )
% 5.66/5.90 => ! [V5rep2: $i] :
% 5.66/5.90 ( ( mem @ V5rep2 @ ( arr @ A_27d @ A_27b ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2EQUOTIENT @ A_27b @ A_27d ) @ V3R2 ) @ V4abs2 ) @ V5rep2 ) )
% 5.66/5.90 => ! [V6f: $i] :
% 5.66/5.90 ( ( mem @ V6f @ ( arr @ A_27c @ A_27d ) )
% 5.66/5.90 => ( ( lam @ A_27c
% 5.66/5.90 @ ^ [V7x: $i] : ( ap @ V6f @ V7x ) )
% 5.66/5.90 = ( ap @ ( ap @ ( ap @ ( c_2Equotient_2E_2D_2D_3E @ A_27c @ A_27b @ A_27a @ A_27d ) @ V2rep1 ) @ V4abs2 )
% 5.66/5.90 @ ( lam @ A_27a
% 5.66/5.90 @ ^ [V8x: $i] : ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2E_2D_2D_3E @ A_27a @ A_27d @ A_27c @ A_27b ) @ V1abs1 ) @ V5rep2 ) @ V6f ) @ V8x ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Equotient_2ELAMBDA__RSP,axiom,
% 5.66/5.90 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0R1: $i] :
% 5.66/5.90 ( ( mem @ V0R1 @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.90 => ! [V1abs1: $i] :
% 5.66/5.90 ( ( mem @ V1abs1 @ ( arr @ A_27a @ A_27c ) )
% 5.66/5.90 => ! [V2rep1: $i] :
% 5.66/5.90 ( ( mem @ V2rep1 @ ( arr @ A_27c @ A_27a ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2EQUOTIENT @ A_27a @ A_27c ) @ V0R1 ) @ V1abs1 ) @ V2rep1 ) )
% 5.66/5.90 => ! [V3R2: $i] :
% 5.66/5.90 ( ( mem @ V3R2 @ ( arr @ A_27b @ ( arr @ A_27b @ bool ) ) )
% 5.66/5.90 => ! [V4abs2: $i] :
% 5.66/5.90 ( ( mem @ V4abs2 @ ( arr @ A_27b @ A_27d ) )
% 5.66/5.90 => ! [V5rep2: $i] :
% 5.66/5.90 ( ( mem @ V5rep2 @ ( arr @ A_27d @ A_27b ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2EQUOTIENT @ A_27b @ A_27d ) @ V3R2 ) @ V4abs2 ) @ V5rep2 ) )
% 5.66/5.90 => ! [V6f1: $i] :
% 5.66/5.90 ( ( mem @ V6f1 @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.90 => ! [V7f2: $i] :
% 5.66/5.90 ( ( mem @ V7f2 @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2E_3D_3D_3D_3E @ A_27a @ A_27b ) @ V0R1 ) @ V3R2 ) @ V6f1 ) @ V7f2 ) )
% 5.66/5.90 => ( p
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2E_3D_3D_3D_3E @ A_27a @ A_27b ) @ V0R1 ) @ V3R2 )
% 5.66/5.90 @ ( lam @ A_27a
% 5.66/5.90 @ ^ [V8x: $i] : ( ap @ V6f1 @ V8x ) ) )
% 5.66/5.90 @ ( lam @ A_27a
% 5.66/5.90 @ ^ [V9y: $i] : ( ap @ V7f2 @ V9y ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Equotient_2EABSTRACT__PRS,axiom,
% 5.66/5.90 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0R1: $i] :
% 5.66/5.90 ( ( mem @ V0R1 @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.90 => ! [V1abs1: $i] :
% 5.66/5.90 ( ( mem @ V1abs1 @ ( arr @ A_27a @ A_27c ) )
% 5.66/5.90 => ! [V2rep1: $i] :
% 5.66/5.90 ( ( mem @ V2rep1 @ ( arr @ A_27c @ A_27a ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2EQUOTIENT @ A_27a @ A_27c ) @ V0R1 ) @ V1abs1 ) @ V2rep1 ) )
% 5.66/5.90 => ! [V3R2: $i] :
% 5.66/5.90 ( ( mem @ V3R2 @ ( arr @ A_27b @ ( arr @ A_27b @ bool ) ) )
% 5.66/5.90 => ! [V4abs2: $i] :
% 5.66/5.90 ( ( mem @ V4abs2 @ ( arr @ A_27b @ A_27d ) )
% 5.66/5.90 => ! [V5rep2: $i] :
% 5.66/5.90 ( ( mem @ V5rep2 @ ( arr @ A_27d @ A_27b ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2EQUOTIENT @ A_27b @ A_27d ) @ V3R2 ) @ V4abs2 ) @ V5rep2 ) )
% 5.66/5.90 => ! [V6f: $i] :
% 5.66/5.90 ( ( mem @ V6f @ ( arr @ A_27c @ A_27d ) )
% 5.66/5.90 => ( V6f
% 5.66/5.90 = ( ap @ ( ap @ ( ap @ ( c_2Equotient_2E_2D_2D_3E @ A_27c @ A_27b @ A_27a @ A_27d ) @ V2rep1 ) @ V4abs2 ) @ ( ap @ ( ap @ ( c_2Ebool_2ERES__ABSTRACT @ A_27a @ A_27b ) @ ( ap @ ( c_2Equotient_2Erespects @ A_27a @ bool ) @ V0R1 ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2E_2D_2D_3E @ A_27a @ A_27d @ A_27c @ A_27b ) @ V1abs1 ) @ V5rep2 ) @ V6f ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Equotient_2ERES__ABSTRACT__RSP,axiom,
% 5.66/5.90 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0R1: $i] :
% 5.66/5.90 ( ( mem @ V0R1 @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.90 => ! [V1abs1: $i] :
% 5.66/5.90 ( ( mem @ V1abs1 @ ( arr @ A_27a @ A_27c ) )
% 5.66/5.90 => ! [V2rep1: $i] :
% 5.66/5.90 ( ( mem @ V2rep1 @ ( arr @ A_27c @ A_27a ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2EQUOTIENT @ A_27a @ A_27c ) @ V0R1 ) @ V1abs1 ) @ V2rep1 ) )
% 5.66/5.90 => ! [V3R2: $i] :
% 5.66/5.90 ( ( mem @ V3R2 @ ( arr @ A_27b @ ( arr @ A_27b @ bool ) ) )
% 5.66/5.90 => ! [V4abs2: $i] :
% 5.66/5.90 ( ( mem @ V4abs2 @ ( arr @ A_27b @ A_27d ) )
% 5.66/5.90 => ! [V5rep2: $i] :
% 5.66/5.90 ( ( mem @ V5rep2 @ ( arr @ A_27d @ A_27b ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2EQUOTIENT @ A_27b @ A_27d ) @ V3R2 ) @ V4abs2 ) @ V5rep2 ) )
% 5.66/5.90 => ! [V6f1: $i] :
% 5.66/5.90 ( ( mem @ V6f1 @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.90 => ! [V7f2: $i] :
% 5.66/5.90 ( ( mem @ V7f2 @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2E_3D_3D_3D_3E @ A_27a @ A_27b ) @ V0R1 ) @ V3R2 ) @ V6f1 ) @ V7f2 ) )
% 5.66/5.90 => ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2E_3D_3D_3D_3E @ A_27a @ A_27b ) @ V0R1 ) @ V3R2 ) @ ( ap @ ( ap @ ( c_2Ebool_2ERES__ABSTRACT @ A_27a @ A_27b ) @ ( ap @ ( c_2Equotient_2Erespects @ A_27a @ bool ) @ V0R1 ) ) @ V6f1 ) ) @ ( ap @ ( ap @ ( c_2Ebool_2ERES__ABSTRACT @ A_27a @ A_27b ) @ ( ap @ ( c_2Equotient_2Erespects @ A_27a @ bool ) @ V0R1 ) ) @ V7f2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Equotient_2ELET__RES__ABSTRACT,axiom,
% 5.66/5.90 ! [A_27a: del,A_27b: del,V0r: $i] :
% 5.66/5.90 ( ( mem @ V0r @ ( arr @ A_27a @ bool ) )
% 5.66/5.90 => ! [V1lam: $i] :
% 5.66/5.90 ( ( mem @ V1lam @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.90 => ! [V2v: $i] :
% 5.66/5.90 ( ( mem @ V2v @ A_27a )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2v ) @ V0r ) )
% 5.66/5.90 => ( ( ap @ ( ap @ ( c_2Ebool_2ELET @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Ebool_2ERES__ABSTRACT @ A_27a @ A_27b ) @ V0r ) @ V1lam ) ) @ V2v )
% 5.66/5.90 = ( ap @ ( ap @ ( c_2Ebool_2ELET @ A_27a @ A_27b ) @ V1lam ) @ V2v ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Equotient_2ELAMBDA__REP__ABS__RSP,axiom,
% 5.66/5.90 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0REL1: $i] :
% 5.66/5.90 ( ( mem @ V0REL1 @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.90 => ! [V1abs1: $i] :
% 5.66/5.90 ( ( mem @ V1abs1 @ ( arr @ A_27a @ A_27c ) )
% 5.66/5.90 => ! [V2rep1: $i] :
% 5.66/5.90 ( ( mem @ V2rep1 @ ( arr @ A_27c @ A_27a ) )
% 5.66/5.90 => ! [V3REL2: $i] :
% 5.66/5.90 ( ( mem @ V3REL2 @ ( arr @ A_27b @ ( arr @ A_27b @ bool ) ) )
% 5.66/5.90 => ! [V4abs2: $i] :
% 5.66/5.90 ( ( mem @ V4abs2 @ ( arr @ A_27b @ A_27d ) )
% 5.66/5.90 => ! [V5rep2: $i] :
% 5.66/5.90 ( ( mem @ V5rep2 @ ( arr @ A_27d @ A_27b ) )
% 5.66/5.90 => ! [V6f1: $i] :
% 5.66/5.90 ( ( mem @ V6f1 @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.90 => ! [V7f2: $i] :
% 5.66/5.90 ( ( mem @ V7f2 @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.90 => ( ( ! [V8r: $i] :
% 5.66/5.90 ( ( mem @ V8r @ A_27a )
% 5.66/5.90 => ! [V9r_27: $i] :
% 5.66/5.90 ( ( mem @ V9r_27 @ A_27a )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ V0REL1 @ V8r ) @ V9r_27 ) )
% 5.66/5.90 => ( p @ ( ap @ ( ap @ V0REL1 @ V8r ) @ ( ap @ V2rep1 @ ( ap @ V1abs1 @ V9r_27 ) ) ) ) ) ) )
% 5.66/5.90 & ! [V10r: $i] :
% 5.66/5.90 ( ( mem @ V10r @ A_27b )
% 5.66/5.90 => ! [V11r_27: $i] :
% 5.66/5.90 ( ( mem @ V11r_27 @ A_27b )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ V3REL2 @ V10r ) @ V11r_27 ) )
% 5.66/5.90 => ( p @ ( ap @ ( ap @ V3REL2 @ V10r ) @ ( ap @ V5rep2 @ ( ap @ V4abs2 @ V11r_27 ) ) ) ) ) ) )
% 5.66/5.90 & ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2E_3D_3D_3D_3E @ A_27a @ A_27b ) @ V0REL1 ) @ V3REL2 ) @ V6f1 ) @ V7f2 ) ) )
% 5.66/5.90 => ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2E_3D_3D_3D_3E @ A_27a @ A_27b ) @ V0REL1 ) @ V3REL2 ) @ V6f1 ) @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2E_2D_2D_3E @ A_27a @ A_27d @ A_27c @ A_27b ) @ V1abs1 ) @ V5rep2 ) @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2E_2D_2D_3E @ A_27c @ A_27b @ A_27a @ A_27d ) @ V2rep1 ) @ V4abs2 ) @ V7f2 ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Equotient_2EREP__ABS__RSP,axiom,
% 5.66/5.90 ! [A_27a: del,A_27b: del,V0REL: $i] :
% 5.66/5.90 ( ( mem @ V0REL @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.90 => ! [V1abs: $i] :
% 5.66/5.90 ( ( mem @ V1abs @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.90 => ! [V2rep: $i] :
% 5.66/5.90 ( ( mem @ V2rep @ ( arr @ A_27b @ A_27a ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2EQUOTIENT @ A_27a @ A_27b ) @ V0REL ) @ V1abs ) @ V2rep ) )
% 5.66/5.90 => ! [V3x1: $i] :
% 5.66/5.90 ( ( mem @ V3x1 @ A_27a )
% 5.66/5.90 => ! [V4x2: $i] :
% 5.66/5.90 ( ( mem @ V4x2 @ A_27a )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ V0REL @ V3x1 ) @ V4x2 ) )
% 5.66/5.90 => ( p @ ( ap @ ( ap @ V0REL @ V3x1 ) @ ( ap @ V2rep @ ( ap @ V1abs @ V4x2 ) ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Equotient_2EFORALL__PRS,axiom,
% 5.66/5.90 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.66/5.90 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.90 => ! [V1abs: $i] :
% 5.66/5.90 ( ( mem @ V1abs @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.90 => ! [V2rep: $i] :
% 5.66/5.90 ( ( mem @ V2rep @ ( arr @ A_27b @ A_27a ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2EQUOTIENT @ A_27a @ A_27b ) @ V0R ) @ V1abs ) @ V2rep ) )
% 5.66/5.90 => ! [V3f: $i] :
% 5.66/5.90 ( ( mem @ V3f @ ( arr @ A_27b @ bool ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( c_2Ebool_2E_21 @ A_27b ) @ V3f ) )
% 5.66/5.90 <=> ( p @ ( ap @ ( ap @ ( c_2Ebool_2ERES__FORALL @ A_27a ) @ ( ap @ ( c_2Equotient_2Erespects @ A_27a @ bool ) @ V0R ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2E_2D_2D_3E @ A_27a @ bool @ A_27b @ bool ) @ V1abs ) @ ( c_2Ecombin_2EI @ bool ) ) @ V3f ) ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Equotient_2ERES__FORALL__RSP,axiom,
% 5.66/5.90 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.66/5.90 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.90 => ! [V1abs: $i] :
% 5.66/5.90 ( ( mem @ V1abs @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.90 => ! [V2rep: $i] :
% 5.66/5.90 ( ( mem @ V2rep @ ( arr @ A_27b @ A_27a ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2EQUOTIENT @ A_27a @ A_27b ) @ V0R ) @ V1abs ) @ V2rep ) )
% 5.66/5.90 => ! [V3f: $i] :
% 5.66/5.90 ( ( mem @ V3f @ ( arr @ A_27a @ bool ) )
% 5.66/5.90 => ! [V4g: $i] :
% 5.66/5.90 ( ( mem @ V4g @ ( arr @ A_27a @ bool ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2E_3D_3D_3D_3E @ A_27a @ bool ) @ V0R ) @ ( c_2Emin_2E_3D @ bool ) ) @ V3f ) @ V4g ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2ERES__FORALL @ A_27a ) @ ( ap @ ( c_2Equotient_2Erespects @ A_27a @ bool ) @ V0R ) ) @ V3f ) )
% 5.66/5.90 <=> ( p @ ( ap @ ( ap @ ( c_2Ebool_2ERES__FORALL @ A_27a ) @ ( ap @ ( c_2Equotient_2Erespects @ A_27a @ bool ) @ V0R ) ) @ V4g ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Equotient_2ERES__FORALL__PRS,axiom,
% 5.66/5.90 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.66/5.90 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.90 => ! [V1abs: $i] :
% 5.66/5.90 ( ( mem @ V1abs @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.90 => ! [V2rep: $i] :
% 5.66/5.90 ( ( mem @ V2rep @ ( arr @ A_27b @ A_27a ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2EQUOTIENT @ A_27a @ A_27b ) @ V0R ) @ V1abs ) @ V2rep ) )
% 5.66/5.90 => ! [V3P: $i] :
% 5.66/5.90 ( ( mem @ V3P @ ( arr @ A_27b @ bool ) )
% 5.66/5.90 => ! [V4f: $i] :
% 5.66/5.90 ( ( mem @ V4f @ ( arr @ A_27b @ bool ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2ERES__FORALL @ A_27b ) @ V3P ) @ V4f ) )
% 5.66/5.90 <=> ( p @ ( ap @ ( ap @ ( c_2Ebool_2ERES__FORALL @ A_27a ) @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2E_2D_2D_3E @ A_27a @ bool @ A_27b @ bool ) @ V1abs ) @ ( c_2Ecombin_2EI @ bool ) ) @ V3P ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2E_2D_2D_3E @ A_27a @ bool @ A_27b @ bool ) @ V1abs ) @ ( c_2Ecombin_2EI @ bool ) ) @ V4f ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Equotient_2EEXISTS__PRS,axiom,
% 5.66/5.90 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.66/5.90 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.90 => ! [V1abs: $i] :
% 5.66/5.90 ( ( mem @ V1abs @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.90 => ! [V2rep: $i] :
% 5.66/5.90 ( ( mem @ V2rep @ ( arr @ A_27b @ A_27a ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2EQUOTIENT @ A_27a @ A_27b ) @ V0R ) @ V1abs ) @ V2rep ) )
% 5.66/5.90 => ! [V3f: $i] :
% 5.66/5.90 ( ( mem @ V3f @ ( arr @ A_27b @ bool ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( c_2Ebool_2E_3F @ A_27b ) @ V3f ) )
% 5.66/5.90 <=> ( p @ ( ap @ ( ap @ ( c_2Ebool_2ERES__EXISTS @ A_27a ) @ ( ap @ ( c_2Equotient_2Erespects @ A_27a @ bool ) @ V0R ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2E_2D_2D_3E @ A_27a @ bool @ A_27b @ bool ) @ V1abs ) @ ( c_2Ecombin_2EI @ bool ) ) @ V3f ) ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Equotient_2ERES__EXISTS__RSP,axiom,
% 5.66/5.90 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.66/5.90 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.90 => ! [V1abs: $i] :
% 5.66/5.90 ( ( mem @ V1abs @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.90 => ! [V2rep: $i] :
% 5.66/5.90 ( ( mem @ V2rep @ ( arr @ A_27b @ A_27a ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2EQUOTIENT @ A_27a @ A_27b ) @ V0R ) @ V1abs ) @ V2rep ) )
% 5.66/5.90 => ! [V3f: $i] :
% 5.66/5.90 ( ( mem @ V3f @ ( arr @ A_27a @ bool ) )
% 5.66/5.90 => ! [V4g: $i] :
% 5.66/5.90 ( ( mem @ V4g @ ( arr @ A_27a @ bool ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2E_3D_3D_3D_3E @ A_27a @ bool ) @ V0R ) @ ( c_2Emin_2E_3D @ bool ) ) @ V3f ) @ V4g ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2ERES__EXISTS @ A_27a ) @ ( ap @ ( c_2Equotient_2Erespects @ A_27a @ bool ) @ V0R ) ) @ V3f ) )
% 5.66/5.90 <=> ( p @ ( ap @ ( ap @ ( c_2Ebool_2ERES__EXISTS @ A_27a ) @ ( ap @ ( c_2Equotient_2Erespects @ A_27a @ bool ) @ V0R ) ) @ V4g ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Equotient_2ERES__EXISTS__PRS,axiom,
% 5.66/5.90 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.66/5.90 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.90 => ! [V1abs: $i] :
% 5.66/5.90 ( ( mem @ V1abs @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.90 => ! [V2rep: $i] :
% 5.66/5.90 ( ( mem @ V2rep @ ( arr @ A_27b @ A_27a ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2EQUOTIENT @ A_27a @ A_27b ) @ V0R ) @ V1abs ) @ V2rep ) )
% 5.66/5.90 => ! [V3P: $i] :
% 5.66/5.90 ( ( mem @ V3P @ ( arr @ A_27b @ bool ) )
% 5.66/5.90 => ! [V4f: $i] :
% 5.66/5.90 ( ( mem @ V4f @ ( arr @ A_27b @ bool ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2ERES__EXISTS @ A_27b ) @ V3P ) @ V4f ) )
% 5.66/5.90 <=> ( p @ ( ap @ ( ap @ ( c_2Ebool_2ERES__EXISTS @ A_27a ) @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2E_2D_2D_3E @ A_27a @ bool @ A_27b @ bool ) @ V1abs ) @ ( c_2Ecombin_2EI @ bool ) ) @ V3P ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2E_2D_2D_3E @ A_27a @ bool @ A_27b @ bool ) @ V1abs ) @ ( c_2Ecombin_2EI @ bool ) ) @ V4f ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Equotient_2EEXISTS__UNIQUE__PRS,axiom,
% 5.66/5.90 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.66/5.90 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.90 => ! [V1abs: $i] :
% 5.66/5.90 ( ( mem @ V1abs @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.90 => ! [V2rep: $i] :
% 5.66/5.90 ( ( mem @ V2rep @ ( arr @ A_27b @ A_27a ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2EQUOTIENT @ A_27a @ A_27b ) @ V0R ) @ V1abs ) @ V2rep ) )
% 5.66/5.90 => ! [V3f: $i] :
% 5.66/5.90 ( ( mem @ V3f @ ( arr @ A_27b @ bool ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( c_2Ebool_2E_3F_21 @ A_27b ) @ V3f ) )
% 5.66/5.90 <=> ( p @ ( ap @ ( ap @ ( c_2Equotient_2ERES__EXISTS__EQUIV @ A_27a ) @ V0R ) @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2E_2D_2D_3E @ A_27a @ bool @ A_27b @ bool ) @ V1abs ) @ ( c_2Ecombin_2EI @ bool ) ) @ V3f ) ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Equotient_2ERES__EXISTS__EQUIV__RSP,axiom,
% 5.66/5.90 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.66/5.90 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.90 => ! [V1abs: $i] :
% 5.66/5.90 ( ( mem @ V1abs @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.90 => ! [V2rep: $i] :
% 5.66/5.90 ( ( mem @ V2rep @ ( arr @ A_27b @ A_27a ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2EQUOTIENT @ A_27a @ A_27b ) @ V0R ) @ V1abs ) @ V2rep ) )
% 5.66/5.90 => ! [V3f: $i] :
% 5.66/5.90 ( ( mem @ V3f @ ( arr @ A_27a @ bool ) )
% 5.66/5.90 => ! [V4g: $i] :
% 5.66/5.90 ( ( mem @ V4g @ ( arr @ A_27a @ bool ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2E_3D_3D_3D_3E @ A_27a @ bool ) @ V0R ) @ ( c_2Emin_2E_3D @ bool ) ) @ V3f ) @ V4g ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( c_2Equotient_2ERES__EXISTS__EQUIV @ A_27a ) @ V0R ) @ V3f ) )
% 5.66/5.90 <=> ( p @ ( ap @ ( ap @ ( c_2Equotient_2ERES__EXISTS__EQUIV @ A_27a ) @ V0R ) @ V4g ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Equotient_2ECOND__PRS,axiom,
% 5.66/5.90 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.66/5.90 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.90 => ! [V1abs: $i] :
% 5.66/5.90 ( ( mem @ V1abs @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.90 => ! [V2rep: $i] :
% 5.66/5.90 ( ( mem @ V2rep @ ( arr @ A_27b @ A_27a ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2EQUOTIENT @ A_27a @ A_27b ) @ V0R ) @ V1abs ) @ V2rep ) )
% 5.66/5.90 => ! [V3a: $i] :
% 5.66/5.90 ( ( mem @ V3a @ bool )
% 5.66/5.90 => ! [V4b: $i] :
% 5.66/5.90 ( ( mem @ V4b @ A_27b )
% 5.66/5.90 => ! [V5c: $i] :
% 5.66/5.90 ( ( mem @ V5c @ A_27b )
% 5.66/5.90 => ( ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ A_27b ) @ V3a ) @ V4b ) @ V5c )
% 5.66/5.90 = ( ap @ V1abs @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ A_27a ) @ V3a ) @ ( ap @ V2rep @ V4b ) ) @ ( ap @ V2rep @ V5c ) ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Equotient_2ECOND__RSP,axiom,
% 5.66/5.90 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.66/5.90 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.90 => ! [V1abs: $i] :
% 5.66/5.90 ( ( mem @ V1abs @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.90 => ! [V2rep: $i] :
% 5.66/5.90 ( ( mem @ V2rep @ ( arr @ A_27b @ A_27a ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2EQUOTIENT @ A_27a @ A_27b ) @ V0R ) @ V1abs ) @ V2rep ) )
% 5.66/5.90 => ! [V3a1: $i] :
% 5.66/5.90 ( ( mem @ V3a1 @ bool )
% 5.66/5.90 => ! [V4a2: $i] :
% 5.66/5.90 ( ( mem @ V4a2 @ bool )
% 5.66/5.90 => ! [V5b1: $i] :
% 5.66/5.90 ( ( mem @ V5b1 @ A_27a )
% 5.66/5.90 => ! [V6b2: $i] :
% 5.66/5.90 ( ( mem @ V6b2 @ A_27a )
% 5.66/5.90 => ! [V7c1: $i] :
% 5.66/5.90 ( ( mem @ V7c1 @ A_27a )
% 5.66/5.90 => ! [V8c2: $i] :
% 5.66/5.90 ( ( mem @ V8c2 @ A_27a )
% 5.66/5.90 => ( ( ( ( p @ V3a1 )
% 5.66/5.90 <=> ( p @ V4a2 ) )
% 5.66/5.90 & ( p @ ( ap @ ( ap @ V0R @ V5b1 ) @ V6b2 ) )
% 5.66/5.90 & ( p @ ( ap @ ( ap @ V0R @ V7c1 ) @ V8c2 ) ) )
% 5.66/5.90 => ( p @ ( ap @ ( ap @ V0R @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ A_27a ) @ V3a1 ) @ V5b1 ) @ V7c1 ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ A_27a ) @ V4a2 ) @ V6b2 ) @ V8c2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Equotient_2ELET__PRS,axiom,
% 5.66/5.90 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0R1: $i] :
% 5.66/5.90 ( ( mem @ V0R1 @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.90 => ! [V1abs1: $i] :
% 5.66/5.90 ( ( mem @ V1abs1 @ ( arr @ A_27a @ A_27c ) )
% 5.66/5.90 => ! [V2rep1: $i] :
% 5.66/5.90 ( ( mem @ V2rep1 @ ( arr @ A_27c @ A_27a ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2EQUOTIENT @ A_27a @ A_27c ) @ V0R1 ) @ V1abs1 ) @ V2rep1 ) )
% 5.66/5.90 => ! [V3R2: $i] :
% 5.66/5.90 ( ( mem @ V3R2 @ ( arr @ A_27b @ ( arr @ A_27b @ bool ) ) )
% 5.66/5.90 => ! [V4abs2: $i] :
% 5.66/5.90 ( ( mem @ V4abs2 @ ( arr @ A_27b @ A_27d ) )
% 5.66/5.90 => ! [V5rep2: $i] :
% 5.66/5.90 ( ( mem @ V5rep2 @ ( arr @ A_27d @ A_27b ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2EQUOTIENT @ A_27b @ A_27d ) @ V3R2 ) @ V4abs2 ) @ V5rep2 ) )
% 5.66/5.90 => ! [V6f: $i] :
% 5.66/5.90 ( ( mem @ V6f @ ( arr @ A_27c @ A_27d ) )
% 5.66/5.90 => ! [V7x: $i] :
% 5.66/5.90 ( ( mem @ V7x @ A_27c )
% 5.66/5.90 => ( ( ap @ ( ap @ ( c_2Ebool_2ELET @ A_27c @ A_27d ) @ V6f ) @ V7x )
% 5.66/5.90 = ( ap @ V4abs2 @ ( ap @ ( ap @ ( c_2Ebool_2ELET @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2E_2D_2D_3E @ A_27a @ A_27d @ A_27c @ A_27b ) @ V1abs1 ) @ V5rep2 ) @ V6f ) ) @ ( ap @ V2rep1 @ V7x ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Equotient_2ELET__RSP,axiom,
% 5.66/5.90 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0R1: $i] :
% 5.66/5.90 ( ( mem @ V0R1 @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.90 => ! [V1abs1: $i] :
% 5.66/5.90 ( ( mem @ V1abs1 @ ( arr @ A_27a @ A_27c ) )
% 5.66/5.90 => ! [V2rep1: $i] :
% 5.66/5.90 ( ( mem @ V2rep1 @ ( arr @ A_27c @ A_27a ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2EQUOTIENT @ A_27a @ A_27c ) @ V0R1 ) @ V1abs1 ) @ V2rep1 ) )
% 5.66/5.90 => ! [V3R2: $i] :
% 5.66/5.90 ( ( mem @ V3R2 @ ( arr @ A_27b @ ( arr @ A_27b @ bool ) ) )
% 5.66/5.90 => ! [V4abs2: $i] :
% 5.66/5.90 ( ( mem @ V4abs2 @ ( arr @ A_27b @ A_27d ) )
% 5.66/5.90 => ! [V5rep2: $i] :
% 5.66/5.90 ( ( mem @ V5rep2 @ ( arr @ A_27d @ A_27b ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2EQUOTIENT @ A_27b @ A_27d ) @ V3R2 ) @ V4abs2 ) @ V5rep2 ) )
% 5.66/5.90 => ! [V6f: $i] :
% 5.66/5.90 ( ( mem @ V6f @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.90 => ! [V7g: $i] :
% 5.66/5.90 ( ( mem @ V7g @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.90 => ! [V8x: $i] :
% 5.66/5.90 ( ( mem @ V8x @ A_27a )
% 5.66/5.90 => ! [V9y: $i] :
% 5.66/5.90 ( ( mem @ V9y @ A_27a )
% 5.66/5.90 => ( ( ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2E_3D_3D_3D_3E @ A_27a @ A_27b ) @ V0R1 ) @ V3R2 ) @ V6f ) @ V7g ) )
% 5.66/5.90 & ( p @ ( ap @ ( ap @ V0R1 @ V8x ) @ V9y ) ) )
% 5.66/5.90 => ( p @ ( ap @ ( ap @ V3R2 @ ( ap @ ( ap @ ( c_2Ebool_2ELET @ A_27a @ A_27b ) @ V6f ) @ V8x ) ) @ ( ap @ ( ap @ ( c_2Ebool_2ELET @ A_27a @ A_27b ) @ V7g ) @ V9y ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Equotient_2Eliteral__case__PRS,axiom,
% 5.66/5.90 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0R1: $i] :
% 5.66/5.90 ( ( mem @ V0R1 @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.90 => ! [V1abs1: $i] :
% 5.66/5.90 ( ( mem @ V1abs1 @ ( arr @ A_27a @ A_27c ) )
% 5.66/5.90 => ! [V2rep1: $i] :
% 5.66/5.90 ( ( mem @ V2rep1 @ ( arr @ A_27c @ A_27a ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2EQUOTIENT @ A_27a @ A_27c ) @ V0R1 ) @ V1abs1 ) @ V2rep1 ) )
% 5.66/5.90 => ! [V3R2: $i] :
% 5.66/5.90 ( ( mem @ V3R2 @ ( arr @ A_27b @ ( arr @ A_27b @ bool ) ) )
% 5.66/5.90 => ! [V4abs2: $i] :
% 5.66/5.90 ( ( mem @ V4abs2 @ ( arr @ A_27b @ A_27d ) )
% 5.66/5.90 => ! [V5rep2: $i] :
% 5.66/5.90 ( ( mem @ V5rep2 @ ( arr @ A_27d @ A_27b ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2EQUOTIENT @ A_27b @ A_27d ) @ V3R2 ) @ V4abs2 ) @ V5rep2 ) )
% 5.66/5.90 => ! [V6f: $i] :
% 5.66/5.90 ( ( mem @ V6f @ ( arr @ A_27c @ A_27d ) )
% 5.66/5.90 => ! [V7x: $i] :
% 5.66/5.90 ( ( mem @ V7x @ A_27c )
% 5.66/5.90 => ( ( ap @ ( ap @ ( c_2Ebool_2Eliteral__case @ A_27c @ A_27d ) @ V6f ) @ V7x )
% 5.66/5.90 = ( ap @ V4abs2 @ ( ap @ ( ap @ ( c_2Ebool_2Eliteral__case @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2E_2D_2D_3E @ A_27a @ A_27d @ A_27c @ A_27b ) @ V1abs1 ) @ V5rep2 ) @ V6f ) ) @ ( ap @ V2rep1 @ V7x ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Equotient_2Eliteral__case__RSP,axiom,
% 5.66/5.90 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0R1: $i] :
% 5.66/5.90 ( ( mem @ V0R1 @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.90 => ! [V1abs1: $i] :
% 5.66/5.90 ( ( mem @ V1abs1 @ ( arr @ A_27a @ A_27c ) )
% 5.66/5.90 => ! [V2rep1: $i] :
% 5.66/5.90 ( ( mem @ V2rep1 @ ( arr @ A_27c @ A_27a ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2EQUOTIENT @ A_27a @ A_27c ) @ V0R1 ) @ V1abs1 ) @ V2rep1 ) )
% 5.66/5.90 => ! [V3R2: $i] :
% 5.66/5.90 ( ( mem @ V3R2 @ ( arr @ A_27b @ ( arr @ A_27b @ bool ) ) )
% 5.66/5.90 => ! [V4abs2: $i] :
% 5.66/5.90 ( ( mem @ V4abs2 @ ( arr @ A_27b @ A_27d ) )
% 5.66/5.90 => ! [V5rep2: $i] :
% 5.66/5.90 ( ( mem @ V5rep2 @ ( arr @ A_27d @ A_27b ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2EQUOTIENT @ A_27b @ A_27d ) @ V3R2 ) @ V4abs2 ) @ V5rep2 ) )
% 5.66/5.90 => ! [V6f: $i] :
% 5.66/5.90 ( ( mem @ V6f @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.90 => ! [V7g: $i] :
% 5.66/5.90 ( ( mem @ V7g @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.90 => ! [V8x: $i] :
% 5.66/5.90 ( ( mem @ V8x @ A_27a )
% 5.66/5.90 => ! [V9y: $i] :
% 5.66/5.90 ( ( mem @ V9y @ A_27a )
% 5.66/5.90 => ( ( ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2E_3D_3D_3D_3E @ A_27a @ A_27b ) @ V0R1 ) @ V3R2 ) @ V6f ) @ V7g ) )
% 5.66/5.90 & ( p @ ( ap @ ( ap @ V0R1 @ V8x ) @ V9y ) ) )
% 5.66/5.90 => ( p @ ( ap @ ( ap @ V3R2 @ ( ap @ ( ap @ ( c_2Ebool_2Eliteral__case @ A_27a @ A_27b ) @ V6f ) @ V8x ) ) @ ( ap @ ( ap @ ( c_2Ebool_2Eliteral__case @ A_27a @ A_27b ) @ V7g ) @ V9y ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Equotient_2EAPPLY__PRS,axiom,
% 5.66/5.90 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0R1: $i] :
% 5.66/5.90 ( ( mem @ V0R1 @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.90 => ! [V1abs1: $i] :
% 5.66/5.90 ( ( mem @ V1abs1 @ ( arr @ A_27a @ A_27c ) )
% 5.66/5.90 => ! [V2rep1: $i] :
% 5.66/5.90 ( ( mem @ V2rep1 @ ( arr @ A_27c @ A_27a ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2EQUOTIENT @ A_27a @ A_27c ) @ V0R1 ) @ V1abs1 ) @ V2rep1 ) )
% 5.66/5.90 => ! [V3R2: $i] :
% 5.66/5.90 ( ( mem @ V3R2 @ ( arr @ A_27b @ ( arr @ A_27b @ bool ) ) )
% 5.66/5.90 => ! [V4abs2: $i] :
% 5.66/5.90 ( ( mem @ V4abs2 @ ( arr @ A_27b @ A_27d ) )
% 5.66/5.90 => ! [V5rep2: $i] :
% 5.66/5.90 ( ( mem @ V5rep2 @ ( arr @ A_27d @ A_27b ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2EQUOTIENT @ A_27b @ A_27d ) @ V3R2 ) @ V4abs2 ) @ V5rep2 ) )
% 5.66/5.90 => ! [V6f: $i] :
% 5.66/5.90 ( ( mem @ V6f @ ( arr @ A_27c @ A_27d ) )
% 5.66/5.90 => ! [V7x: $i] :
% 5.66/5.90 ( ( mem @ V7x @ A_27c )
% 5.66/5.90 => ( ( ap @ V6f @ V7x )
% 5.66/5.90 = ( ap @ V4abs2 @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2E_2D_2D_3E @ A_27a @ A_27d @ A_27c @ A_27b ) @ V1abs1 ) @ V5rep2 ) @ V6f ) @ ( ap @ V2rep1 @ V7x ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Equotient_2EAPPLY__RSP,axiom,
% 5.66/5.90 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0R1: $i] :
% 5.66/5.90 ( ( mem @ V0R1 @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.90 => ! [V1abs1: $i] :
% 5.66/5.90 ( ( mem @ V1abs1 @ ( arr @ A_27a @ A_27c ) )
% 5.66/5.90 => ! [V2rep1: $i] :
% 5.66/5.90 ( ( mem @ V2rep1 @ ( arr @ A_27c @ A_27a ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2EQUOTIENT @ A_27a @ A_27c ) @ V0R1 ) @ V1abs1 ) @ V2rep1 ) )
% 5.66/5.90 => ! [V3R2: $i] :
% 5.66/5.90 ( ( mem @ V3R2 @ ( arr @ A_27b @ ( arr @ A_27b @ bool ) ) )
% 5.66/5.90 => ! [V4abs2: $i] :
% 5.66/5.90 ( ( mem @ V4abs2 @ ( arr @ A_27b @ A_27d ) )
% 5.66/5.90 => ! [V5rep2: $i] :
% 5.66/5.90 ( ( mem @ V5rep2 @ ( arr @ A_27d @ A_27b ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2EQUOTIENT @ A_27b @ A_27d ) @ V3R2 ) @ V4abs2 ) @ V5rep2 ) )
% 5.66/5.90 => ! [V6f: $i] :
% 5.66/5.90 ( ( mem @ V6f @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.90 => ! [V7g: $i] :
% 5.66/5.90 ( ( mem @ V7g @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.90 => ! [V8x: $i] :
% 5.66/5.90 ( ( mem @ V8x @ A_27a )
% 5.66/5.90 => ! [V9y: $i] :
% 5.66/5.90 ( ( mem @ V9y @ A_27a )
% 5.66/5.90 => ( ( ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2E_3D_3D_3D_3E @ A_27a @ A_27b ) @ V0R1 ) @ V3R2 ) @ V6f ) @ V7g ) )
% 5.66/5.90 & ( p @ ( ap @ ( ap @ V0R1 @ V8x ) @ V9y ) ) )
% 5.66/5.90 => ( p @ ( ap @ ( ap @ V3R2 @ ( ap @ V6f @ V8x ) ) @ ( ap @ V7g @ V9y ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Equotient_2EI__PRS,axiom,
% 5.66/5.90 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.66/5.90 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.90 => ! [V1abs: $i] :
% 5.66/5.90 ( ( mem @ V1abs @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.90 => ! [V2rep: $i] :
% 5.66/5.90 ( ( mem @ V2rep @ ( arr @ A_27b @ A_27a ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2EQUOTIENT @ A_27a @ A_27b ) @ V0R ) @ V1abs ) @ V2rep ) )
% 5.66/5.90 => ! [V3e: $i] :
% 5.66/5.90 ( ( mem @ V3e @ A_27b )
% 5.66/5.90 => ( ( ap @ ( c_2Ecombin_2EI @ A_27b ) @ V3e )
% 5.66/5.90 = ( ap @ V1abs @ ( ap @ ( c_2Ecombin_2EI @ A_27a ) @ ( ap @ V2rep @ V3e ) ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Equotient_2EI__RSP,axiom,
% 5.66/5.90 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.66/5.90 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.90 => ! [V1abs: $i] :
% 5.66/5.90 ( ( mem @ V1abs @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.90 => ! [V2rep: $i] :
% 5.66/5.90 ( ( mem @ V2rep @ ( arr @ A_27b @ A_27a ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2EQUOTIENT @ A_27a @ A_27b ) @ V0R ) @ V1abs ) @ V2rep ) )
% 5.66/5.90 => ! [V3e1: $i] :
% 5.66/5.90 ( ( mem @ V3e1 @ A_27a )
% 5.66/5.90 => ! [V4e2: $i] :
% 5.66/5.90 ( ( mem @ V4e2 @ A_27a )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ V0R @ V3e1 ) @ V4e2 ) )
% 5.66/5.90 => ( p @ ( ap @ ( ap @ V0R @ ( ap @ ( c_2Ecombin_2EI @ A_27a ) @ V3e1 ) ) @ ( ap @ ( c_2Ecombin_2EI @ A_27a ) @ V4e2 ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Equotient_2EK__PRS,axiom,
% 5.66/5.90 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0R1: $i] :
% 5.66/5.90 ( ( mem @ V0R1 @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.90 => ! [V1abs1: $i] :
% 5.66/5.90 ( ( mem @ V1abs1 @ ( arr @ A_27a @ A_27c ) )
% 5.66/5.90 => ! [V2rep1: $i] :
% 5.66/5.90 ( ( mem @ V2rep1 @ ( arr @ A_27c @ A_27a ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2EQUOTIENT @ A_27a @ A_27c ) @ V0R1 ) @ V1abs1 ) @ V2rep1 ) )
% 5.66/5.90 => ! [V3R2: $i] :
% 5.66/5.90 ( ( mem @ V3R2 @ ( arr @ A_27b @ ( arr @ A_27b @ bool ) ) )
% 5.66/5.90 => ! [V4abs2: $i] :
% 5.66/5.90 ( ( mem @ V4abs2 @ ( arr @ A_27b @ A_27d ) )
% 5.66/5.90 => ! [V5rep2: $i] :
% 5.66/5.90 ( ( mem @ V5rep2 @ ( arr @ A_27d @ A_27b ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2EQUOTIENT @ A_27b @ A_27d ) @ V3R2 ) @ V4abs2 ) @ V5rep2 ) )
% 5.66/5.90 => ! [V6x: $i] :
% 5.66/5.90 ( ( mem @ V6x @ A_27c )
% 5.66/5.90 => ! [V7y: $i] :
% 5.66/5.90 ( ( mem @ V7y @ A_27d )
% 5.66/5.90 => ( ( ap @ ( ap @ ( c_2Ecombin_2EK @ A_27c @ A_27d ) @ V6x ) @ V7y )
% 5.66/5.90 = ( ap @ V1abs1 @ ( ap @ ( ap @ ( c_2Ecombin_2EK @ A_27a @ A_27b ) @ ( ap @ V2rep1 @ V6x ) ) @ ( ap @ V5rep2 @ V7y ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Equotient_2EK__RSP,axiom,
% 5.66/5.90 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0R1: $i] :
% 5.66/5.90 ( ( mem @ V0R1 @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.90 => ! [V1abs1: $i] :
% 5.66/5.90 ( ( mem @ V1abs1 @ ( arr @ A_27a @ A_27c ) )
% 5.66/5.90 => ! [V2rep1: $i] :
% 5.66/5.90 ( ( mem @ V2rep1 @ ( arr @ A_27c @ A_27a ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2EQUOTIENT @ A_27a @ A_27c ) @ V0R1 ) @ V1abs1 ) @ V2rep1 ) )
% 5.66/5.90 => ! [V3R2: $i] :
% 5.66/5.90 ( ( mem @ V3R2 @ ( arr @ A_27b @ ( arr @ A_27b @ bool ) ) )
% 5.66/5.90 => ! [V4abs2: $i] :
% 5.66/5.90 ( ( mem @ V4abs2 @ ( arr @ A_27b @ A_27d ) )
% 5.66/5.90 => ! [V5rep2: $i] :
% 5.66/5.90 ( ( mem @ V5rep2 @ ( arr @ A_27d @ A_27b ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2EQUOTIENT @ A_27b @ A_27d ) @ V3R2 ) @ V4abs2 ) @ V5rep2 ) )
% 5.66/5.90 => ! [V6x1: $i] :
% 5.66/5.90 ( ( mem @ V6x1 @ A_27a )
% 5.66/5.90 => ! [V7x2: $i] :
% 5.66/5.90 ( ( mem @ V7x2 @ A_27a )
% 5.66/5.90 => ! [V8y1: $i] :
% 5.66/5.90 ( ( mem @ V8y1 @ A_27b )
% 5.66/5.90 => ! [V9y2: $i] :
% 5.66/5.90 ( ( mem @ V9y2 @ A_27b )
% 5.66/5.90 => ( ( ( p @ ( ap @ ( ap @ V0R1 @ V6x1 ) @ V7x2 ) )
% 5.66/5.90 & ( p @ ( ap @ ( ap @ V3R2 @ V8y1 ) @ V9y2 ) ) )
% 5.66/5.90 => ( p @ ( ap @ ( ap @ V0R1 @ ( ap @ ( ap @ ( c_2Ecombin_2EK @ A_27a @ A_27b ) @ V6x1 ) @ V8y1 ) ) @ ( ap @ ( ap @ ( c_2Ecombin_2EK @ A_27a @ A_27b ) @ V7x2 ) @ V9y2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Equotient_2Eo__PRS,axiom,
% 5.66/5.90 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,A_27e: del,A_27f: del,V0R1: $i] :
% 5.66/5.90 ( ( mem @ V0R1 @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.90 => ! [V1abs1: $i] :
% 5.66/5.90 ( ( mem @ V1abs1 @ ( arr @ A_27a @ A_27d ) )
% 5.66/5.90 => ! [V2rep1: $i] :
% 5.66/5.90 ( ( mem @ V2rep1 @ ( arr @ A_27d @ A_27a ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2EQUOTIENT @ A_27a @ A_27d ) @ V0R1 ) @ V1abs1 ) @ V2rep1 ) )
% 5.66/5.90 => ! [V3R2: $i] :
% 5.66/5.90 ( ( mem @ V3R2 @ ( arr @ A_27b @ ( arr @ A_27b @ bool ) ) )
% 5.66/5.90 => ! [V4abs2: $i] :
% 5.66/5.90 ( ( mem @ V4abs2 @ ( arr @ A_27b @ A_27e ) )
% 5.66/5.90 => ! [V5rep2: $i] :
% 5.66/5.90 ( ( mem @ V5rep2 @ ( arr @ A_27e @ A_27b ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2EQUOTIENT @ A_27b @ A_27e ) @ V3R2 ) @ V4abs2 ) @ V5rep2 ) )
% 5.66/5.90 => ! [V6R3: $i] :
% 5.66/5.90 ( ( mem @ V6R3 @ ( arr @ A_27c @ ( arr @ A_27c @ bool ) ) )
% 5.66/5.90 => ! [V7abs3: $i] :
% 5.66/5.90 ( ( mem @ V7abs3 @ ( arr @ A_27c @ A_27f ) )
% 5.66/5.90 => ! [V8rep3: $i] :
% 5.66/5.90 ( ( mem @ V8rep3 @ ( arr @ A_27f @ A_27c ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2EQUOTIENT @ A_27c @ A_27f ) @ V6R3 ) @ V7abs3 ) @ V8rep3 ) )
% 5.66/5.90 => ! [V9f: $i] :
% 5.66/5.90 ( ( mem @ V9f @ ( arr @ A_27e @ A_27f ) )
% 5.66/5.90 => ! [V10g: $i] :
% 5.66/5.90 ( ( mem @ V10g @ ( arr @ A_27d @ A_27e ) )
% 5.66/5.90 => ( ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27d @ A_27f @ A_27e ) @ V9f ) @ V10g )
% 5.66/5.90 = ( ap @ ( ap @ ( ap @ ( c_2Equotient_2E_2D_2D_3E @ A_27d @ A_27c @ A_27a @ A_27f ) @ V2rep1 ) @ V7abs3 ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27a @ A_27c @ A_27b ) @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2E_2D_2D_3E @ A_27b @ A_27f @ A_27e @ A_27c ) @ V4abs2 ) @ V8rep3 ) @ V9f ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2E_2D_2D_3E @ A_27a @ A_27e @ A_27d @ A_27b ) @ V1abs1 ) @ V5rep2 ) @ V10g ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Equotient_2Eo__RSP,axiom,
% 5.66/5.90 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,A_27e: del,A_27f: del,V0R1: $i] :
% 5.66/5.90 ( ( mem @ V0R1 @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.90 => ! [V1abs1: $i] :
% 5.66/5.90 ( ( mem @ V1abs1 @ ( arr @ A_27a @ A_27d ) )
% 5.66/5.90 => ! [V2rep1: $i] :
% 5.66/5.90 ( ( mem @ V2rep1 @ ( arr @ A_27d @ A_27a ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2EQUOTIENT @ A_27a @ A_27d ) @ V0R1 ) @ V1abs1 ) @ V2rep1 ) )
% 5.66/5.90 => ! [V3R2: $i] :
% 5.66/5.90 ( ( mem @ V3R2 @ ( arr @ A_27b @ ( arr @ A_27b @ bool ) ) )
% 5.66/5.90 => ! [V4abs2: $i] :
% 5.66/5.90 ( ( mem @ V4abs2 @ ( arr @ A_27b @ A_27e ) )
% 5.66/5.90 => ! [V5rep2: $i] :
% 5.66/5.90 ( ( mem @ V5rep2 @ ( arr @ A_27e @ A_27b ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2EQUOTIENT @ A_27b @ A_27e ) @ V3R2 ) @ V4abs2 ) @ V5rep2 ) )
% 5.66/5.90 => ! [V6R3: $i] :
% 5.66/5.90 ( ( mem @ V6R3 @ ( arr @ A_27c @ ( arr @ A_27c @ bool ) ) )
% 5.66/5.90 => ! [V7abs3: $i] :
% 5.66/5.90 ( ( mem @ V7abs3 @ ( arr @ A_27c @ A_27f ) )
% 5.66/5.90 => ! [V8rep3: $i] :
% 5.66/5.90 ( ( mem @ V8rep3 @ ( arr @ A_27f @ A_27c ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2EQUOTIENT @ A_27c @ A_27f ) @ V6R3 ) @ V7abs3 ) @ V8rep3 ) )
% 5.66/5.90 => ! [V9f1: $i] :
% 5.66/5.90 ( ( mem @ V9f1 @ ( arr @ A_27b @ A_27c ) )
% 5.66/5.90 => ! [V10f2: $i] :
% 5.66/5.90 ( ( mem @ V10f2 @ ( arr @ A_27b @ A_27c ) )
% 5.66/5.90 => ! [V11g1: $i] :
% 5.66/5.90 ( ( mem @ V11g1 @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.90 => ! [V12g2: $i] :
% 5.66/5.90 ( ( mem @ V12g2 @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.90 => ( ( ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2E_3D_3D_3D_3E @ A_27b @ A_27c ) @ V3R2 ) @ V6R3 ) @ V9f1 ) @ V10f2 ) )
% 5.66/5.90 & ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2E_3D_3D_3D_3E @ A_27a @ A_27b ) @ V0R1 ) @ V3R2 ) @ V11g1 ) @ V12g2 ) ) )
% 5.66/5.90 => ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2E_3D_3D_3D_3E @ A_27a @ A_27c ) @ V0R1 ) @ V6R3 ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27a @ A_27c @ A_27b ) @ V9f1 ) @ V11g1 ) ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27a @ A_27c @ A_27b ) @ V10f2 ) @ V12g2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Equotient_2EC__PRS,axiom,
% 5.66/5.90 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,A_27e: del,A_27f: del,V0R1: $i] :
% 5.66/5.90 ( ( mem @ V0R1 @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.90 => ! [V1abs1: $i] :
% 5.66/5.90 ( ( mem @ V1abs1 @ ( arr @ A_27a @ A_27d ) )
% 5.66/5.90 => ! [V2rep1: $i] :
% 5.66/5.90 ( ( mem @ V2rep1 @ ( arr @ A_27d @ A_27a ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2EQUOTIENT @ A_27a @ A_27d ) @ V0R1 ) @ V1abs1 ) @ V2rep1 ) )
% 5.66/5.90 => ! [V3R2: $i] :
% 5.66/5.90 ( ( mem @ V3R2 @ ( arr @ A_27b @ ( arr @ A_27b @ bool ) ) )
% 5.66/5.90 => ! [V4abs2: $i] :
% 5.66/5.90 ( ( mem @ V4abs2 @ ( arr @ A_27b @ A_27e ) )
% 5.66/5.90 => ! [V5rep2: $i] :
% 5.66/5.90 ( ( mem @ V5rep2 @ ( arr @ A_27e @ A_27b ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2EQUOTIENT @ A_27b @ A_27e ) @ V3R2 ) @ V4abs2 ) @ V5rep2 ) )
% 5.66/5.90 => ! [V6R3: $i] :
% 5.66/5.90 ( ( mem @ V6R3 @ ( arr @ A_27c @ ( arr @ A_27c @ bool ) ) )
% 5.66/5.90 => ! [V7abs3: $i] :
% 5.66/5.90 ( ( mem @ V7abs3 @ ( arr @ A_27c @ A_27f ) )
% 5.66/5.90 => ! [V8rep3: $i] :
% 5.66/5.90 ( ( mem @ V8rep3 @ ( arr @ A_27f @ A_27c ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2EQUOTIENT @ A_27c @ A_27f ) @ V6R3 ) @ V7abs3 ) @ V8rep3 ) )
% 5.66/5.90 => ! [V9f: $i] :
% 5.66/5.90 ( ( mem @ V9f @ ( arr @ A_27d @ ( arr @ A_27e @ A_27f ) ) )
% 5.66/5.90 => ! [V10x: $i] :
% 5.66/5.90 ( ( mem @ V10x @ A_27e )
% 5.66/5.90 => ! [V11y: $i] :
% 5.66/5.90 ( ( mem @ V11y @ A_27d )
% 5.66/5.90 => ( ( ap @ ( ap @ ( ap @ ( c_2Ecombin_2EC @ A_27d @ A_27e @ A_27f ) @ V9f ) @ V10x ) @ V11y )
% 5.66/5.90 = ( ap @ V7abs3 @ ( ap @ ( ap @ ( ap @ ( c_2Ecombin_2EC @ A_27a @ A_27b @ A_27c ) @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2E_2D_2D_3E @ A_27a @ ( arr @ A_27e @ A_27f ) @ A_27d @ ( arr @ A_27b @ A_27c ) ) @ V1abs1 ) @ ( ap @ ( ap @ ( c_2Equotient_2E_2D_2D_3E @ A_27b @ A_27f @ A_27e @ A_27c ) @ V4abs2 ) @ V8rep3 ) ) @ V9f ) ) @ ( ap @ V5rep2 @ V10x ) ) @ ( ap @ V2rep1 @ V11y ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Equotient_2EC__RSP,axiom,
% 5.66/5.90 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,A_27e: del,A_27f: del,V0R1: $i] :
% 5.66/5.90 ( ( mem @ V0R1 @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.90 => ! [V1abs1: $i] :
% 5.66/5.90 ( ( mem @ V1abs1 @ ( arr @ A_27a @ A_27d ) )
% 5.66/5.90 => ! [V2rep1: $i] :
% 5.66/5.90 ( ( mem @ V2rep1 @ ( arr @ A_27d @ A_27a ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2EQUOTIENT @ A_27a @ A_27d ) @ V0R1 ) @ V1abs1 ) @ V2rep1 ) )
% 5.66/5.90 => ! [V3R2: $i] :
% 5.66/5.90 ( ( mem @ V3R2 @ ( arr @ A_27b @ ( arr @ A_27b @ bool ) ) )
% 5.66/5.90 => ! [V4abs2: $i] :
% 5.66/5.90 ( ( mem @ V4abs2 @ ( arr @ A_27b @ A_27e ) )
% 5.66/5.90 => ! [V5rep2: $i] :
% 5.66/5.90 ( ( mem @ V5rep2 @ ( arr @ A_27e @ A_27b ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2EQUOTIENT @ A_27b @ A_27e ) @ V3R2 ) @ V4abs2 ) @ V5rep2 ) )
% 5.66/5.90 => ! [V6R3: $i] :
% 5.66/5.90 ( ( mem @ V6R3 @ ( arr @ A_27c @ ( arr @ A_27c @ bool ) ) )
% 5.66/5.90 => ! [V7abs3: $i] :
% 5.66/5.90 ( ( mem @ V7abs3 @ ( arr @ A_27c @ A_27f ) )
% 5.66/5.90 => ! [V8rep3: $i] :
% 5.66/5.90 ( ( mem @ V8rep3 @ ( arr @ A_27f @ A_27c ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2EQUOTIENT @ A_27c @ A_27f ) @ V6R3 ) @ V7abs3 ) @ V8rep3 ) )
% 5.66/5.90 => ! [V9f1: $i] :
% 5.66/5.90 ( ( mem @ V9f1 @ ( arr @ A_27a @ ( arr @ A_27b @ A_27c ) ) )
% 5.66/5.90 => ! [V10f2: $i] :
% 5.66/5.90 ( ( mem @ V10f2 @ ( arr @ A_27a @ ( arr @ A_27b @ A_27c ) ) )
% 5.66/5.90 => ! [V11x1: $i] :
% 5.66/5.90 ( ( mem @ V11x1 @ A_27b )
% 5.66/5.90 => ! [V12x2: $i] :
% 5.66/5.90 ( ( mem @ V12x2 @ A_27b )
% 5.66/5.90 => ! [V13y1: $i] :
% 5.66/5.90 ( ( mem @ V13y1 @ A_27a )
% 5.66/5.90 => ! [V14y2: $i] :
% 5.66/5.90 ( ( mem @ V14y2 @ A_27a )
% 5.66/5.90 => ( ( ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2E_3D_3D_3D_3E @ A_27a @ ( arr @ A_27b @ A_27c ) ) @ V0R1 ) @ ( ap @ ( ap @ ( c_2Equotient_2E_3D_3D_3D_3E @ A_27b @ A_27c ) @ V3R2 ) @ V6R3 ) ) @ V9f1 ) @ V10f2 ) )
% 5.66/5.90 & ( p @ ( ap @ ( ap @ V3R2 @ V11x1 ) @ V12x2 ) )
% 5.66/5.90 & ( p @ ( ap @ ( ap @ V0R1 @ V13y1 ) @ V14y2 ) ) )
% 5.66/5.90 => ( p @ ( ap @ ( ap @ V6R3 @ ( ap @ ( ap @ ( ap @ ( c_2Ecombin_2EC @ A_27a @ A_27b @ A_27c ) @ V9f1 ) @ V11x1 ) @ V13y1 ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ecombin_2EC @ A_27a @ A_27b @ A_27c ) @ V10f2 ) @ V12x2 ) @ V14y2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Equotient_2EW__PRS,axiom,
% 5.66/5.90 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0R1: $i] :
% 5.66/5.90 ( ( mem @ V0R1 @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.90 => ! [V1abs1: $i] :
% 5.66/5.90 ( ( mem @ V1abs1 @ ( arr @ A_27a @ A_27c ) )
% 5.66/5.90 => ! [V2rep1: $i] :
% 5.66/5.90 ( ( mem @ V2rep1 @ ( arr @ A_27c @ A_27a ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2EQUOTIENT @ A_27a @ A_27c ) @ V0R1 ) @ V1abs1 ) @ V2rep1 ) )
% 5.66/5.90 => ! [V3R2: $i] :
% 5.66/5.90 ( ( mem @ V3R2 @ ( arr @ A_27b @ ( arr @ A_27b @ bool ) ) )
% 5.66/5.90 => ! [V4abs2: $i] :
% 5.66/5.90 ( ( mem @ V4abs2 @ ( arr @ A_27b @ A_27d ) )
% 5.66/5.90 => ! [V5rep2: $i] :
% 5.66/5.90 ( ( mem @ V5rep2 @ ( arr @ A_27d @ A_27b ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2EQUOTIENT @ A_27b @ A_27d ) @ V3R2 ) @ V4abs2 ) @ V5rep2 ) )
% 5.66/5.90 => ! [V6f: $i] :
% 5.66/5.90 ( ( mem @ V6f @ ( arr @ A_27c @ ( arr @ A_27c @ A_27d ) ) )
% 5.66/5.90 => ! [V7x: $i] :
% 5.66/5.90 ( ( mem @ V7x @ A_27c )
% 5.66/5.90 => ( ( ap @ ( ap @ ( c_2Ecombin_2EW @ A_27c @ A_27d ) @ V6f ) @ V7x )
% 5.66/5.90 = ( ap @ V4abs2 @ ( ap @ ( ap @ ( c_2Ecombin_2EW @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2E_2D_2D_3E @ A_27a @ ( arr @ A_27c @ A_27d ) @ A_27c @ ( arr @ A_27a @ A_27b ) ) @ V1abs1 ) @ ( ap @ ( ap @ ( c_2Equotient_2E_2D_2D_3E @ A_27a @ A_27d @ A_27c @ A_27b ) @ V1abs1 ) @ V5rep2 ) ) @ V6f ) ) @ ( ap @ V2rep1 @ V7x ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Equotient_2EW__RSP,axiom,
% 5.66/5.90 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0R1: $i] :
% 5.66/5.90 ( ( mem @ V0R1 @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.90 => ! [V1abs1: $i] :
% 5.66/5.90 ( ( mem @ V1abs1 @ ( arr @ A_27a @ A_27c ) )
% 5.66/5.90 => ! [V2rep1: $i] :
% 5.66/5.90 ( ( mem @ V2rep1 @ ( arr @ A_27c @ A_27a ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2EQUOTIENT @ A_27a @ A_27c ) @ V0R1 ) @ V1abs1 ) @ V2rep1 ) )
% 5.66/5.90 => ! [V3R2: $i] :
% 5.66/5.90 ( ( mem @ V3R2 @ ( arr @ A_27b @ ( arr @ A_27b @ bool ) ) )
% 5.66/5.90 => ! [V4abs2: $i] :
% 5.66/5.90 ( ( mem @ V4abs2 @ ( arr @ A_27b @ A_27d ) )
% 5.66/5.90 => ! [V5rep2: $i] :
% 5.66/5.90 ( ( mem @ V5rep2 @ ( arr @ A_27d @ A_27b ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2EQUOTIENT @ A_27b @ A_27d ) @ V3R2 ) @ V4abs2 ) @ V5rep2 ) )
% 5.66/5.90 => ! [V6f1: $i] :
% 5.66/5.90 ( ( mem @ V6f1 @ ( arr @ A_27a @ ( arr @ A_27a @ A_27b ) ) )
% 5.66/5.90 => ! [V7f2: $i] :
% 5.66/5.90 ( ( mem @ V7f2 @ ( arr @ A_27a @ ( arr @ A_27a @ A_27b ) ) )
% 5.66/5.90 => ! [V8x1: $i] :
% 5.66/5.90 ( ( mem @ V8x1 @ A_27a )
% 5.66/5.90 => ! [V9x2: $i] :
% 5.66/5.90 ( ( mem @ V9x2 @ A_27a )
% 5.66/5.90 => ( ( ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2E_3D_3D_3D_3E @ A_27a @ ( arr @ A_27a @ A_27b ) ) @ V0R1 ) @ ( ap @ ( ap @ ( c_2Equotient_2E_3D_3D_3D_3E @ A_27a @ A_27b ) @ V0R1 ) @ V3R2 ) ) @ V6f1 ) @ V7f2 ) )
% 5.66/5.90 & ( p @ ( ap @ ( ap @ V0R1 @ V8x1 ) @ V9x2 ) ) )
% 5.66/5.90 => ( p @ ( ap @ ( ap @ V3R2 @ ( ap @ ( ap @ ( c_2Ecombin_2EW @ A_27a @ A_27b ) @ V6f1 ) @ V8x1 ) ) @ ( ap @ ( ap @ ( c_2Ecombin_2EW @ A_27a @ A_27b ) @ V7f2 ) @ V9x2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Equotient_2EEQ__IMPLIES,axiom,
% 5.66/5.90 ! [V0P: $i] :
% 5.66/5.90 ( ( mem @ V0P @ bool )
% 5.66/5.90 => ! [V1Q: $i] :
% 5.66/5.90 ( ( mem @ V1Q @ bool )
% 5.66/5.90 => ( ( ( p @ V0P )
% 5.66/5.90 <=> ( p @ V1Q ) )
% 5.66/5.90 => ( ( p @ V0P )
% 5.66/5.90 => ( p @ V1Q ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Equotient_2EEQUALS__IMPLIES,axiom,
% 5.66/5.90 ! [A_27a: del,V0P: $i] :
% 5.66/5.90 ( ( mem @ V0P @ A_27a )
% 5.66/5.90 => ! [V1P_27: $i] :
% 5.66/5.90 ( ( mem @ V1P_27 @ A_27a )
% 5.66/5.90 => ! [V2Q: $i] :
% 5.66/5.90 ( ( mem @ V2Q @ A_27a )
% 5.66/5.90 => ! [V3Q_27: $i] :
% 5.66/5.90 ( ( mem @ V3Q_27 @ A_27a )
% 5.66/5.90 => ( ( ( V0P = V2Q )
% 5.66/5.90 & ( V1P_27 = V3Q_27 ) )
% 5.66/5.90 => ( ( V0P = V1P_27 )
% 5.66/5.90 => ( V2Q = V3Q_27 ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Equotient_2ECONJ__IMPLIES,axiom,
% 5.66/5.90 ! [V0P: $i] :
% 5.66/5.90 ( ( mem @ V0P @ bool )
% 5.66/5.90 => ! [V1P_27: $i] :
% 5.66/5.90 ( ( mem @ V1P_27 @ bool )
% 5.66/5.90 => ! [V2Q: $i] :
% 5.66/5.90 ( ( mem @ V2Q @ bool )
% 5.66/5.90 => ! [V3Q_27: $i] :
% 5.66/5.90 ( ( mem @ V3Q_27 @ bool )
% 5.66/5.90 => ( ( ( ( p @ V0P )
% 5.66/5.90 => ( p @ V2Q ) )
% 5.66/5.90 & ( ( p @ V1P_27 )
% 5.66/5.90 => ( p @ V3Q_27 ) ) )
% 5.66/5.90 => ( ( ( p @ V0P )
% 5.66/5.90 & ( p @ V1P_27 ) )
% 5.66/5.90 => ( ( p @ V2Q )
% 5.66/5.90 & ( p @ V3Q_27 ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Equotient_2EDISJ__IMPLIES,axiom,
% 5.66/5.90 ! [V0P: $i] :
% 5.66/5.90 ( ( mem @ V0P @ bool )
% 5.66/5.90 => ! [V1P_27: $i] :
% 5.66/5.90 ( ( mem @ V1P_27 @ bool )
% 5.66/5.90 => ! [V2Q: $i] :
% 5.66/5.90 ( ( mem @ V2Q @ bool )
% 5.66/5.90 => ! [V3Q_27: $i] :
% 5.66/5.90 ( ( mem @ V3Q_27 @ bool )
% 5.66/5.90 => ( ( ( ( p @ V0P )
% 5.66/5.90 => ( p @ V2Q ) )
% 5.66/5.90 & ( ( p @ V1P_27 )
% 5.66/5.90 => ( p @ V3Q_27 ) ) )
% 5.66/5.90 => ( ( ( p @ V0P )
% 5.66/5.90 | ( p @ V1P_27 ) )
% 5.66/5.90 => ( ( p @ V2Q )
% 5.66/5.90 | ( p @ V3Q_27 ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Equotient_2EIMP__IMPLIES,axiom,
% 5.66/5.90 ! [V0P: $i] :
% 5.66/5.90 ( ( mem @ V0P @ bool )
% 5.66/5.90 => ! [V1P_27: $i] :
% 5.66/5.90 ( ( mem @ V1P_27 @ bool )
% 5.66/5.90 => ! [V2Q: $i] :
% 5.66/5.90 ( ( mem @ V2Q @ bool )
% 5.66/5.90 => ! [V3Q_27: $i] :
% 5.66/5.90 ( ( mem @ V3Q_27 @ bool )
% 5.66/5.90 => ( ( ( ( p @ V2Q )
% 5.66/5.90 => ( p @ V0P ) )
% 5.66/5.90 & ( ( p @ V1P_27 )
% 5.66/5.90 => ( p @ V3Q_27 ) ) )
% 5.66/5.90 => ( ( ( p @ V0P )
% 5.66/5.90 => ( p @ V1P_27 ) )
% 5.66/5.90 => ( ( p @ V2Q )
% 5.66/5.90 => ( p @ V3Q_27 ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Equotient_2ENOT__IMPLIES,axiom,
% 5.66/5.90 ! [V0P: $i] :
% 5.66/5.90 ( ( mem @ V0P @ bool )
% 5.66/5.90 => ! [V1Q: $i] :
% 5.66/5.90 ( ( mem @ V1Q @ bool )
% 5.66/5.90 => ( ( ( p @ V1Q )
% 5.66/5.90 => ( p @ V0P ) )
% 5.66/5.90 => ( ~ ( p @ V0P )
% 5.66/5.90 => ~ ( p @ V1Q ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Equotient_2EEQUALS__EQUIV__IMPLIES,axiom,
% 5.66/5.90 ! [A_27a: del,V0a1: $i] :
% 5.66/5.90 ( ( mem @ V0a1 @ A_27a )
% 5.66/5.90 => ! [V1a2: $i] :
% 5.66/5.90 ( ( mem @ V1a2 @ A_27a )
% 5.66/5.90 => ! [V2b1: $i] :
% 5.66/5.90 ( ( mem @ V2b1 @ A_27a )
% 5.66/5.90 => ! [V3b2: $i] :
% 5.66/5.90 ( ( mem @ V3b2 @ A_27a )
% 5.66/5.90 => ! [V4R: $i] :
% 5.66/5.90 ( ( mem @ V4R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( c_2Equotient_2EEQUIV @ A_27a ) @ V4R ) )
% 5.66/5.90 => ( ( ( p @ ( ap @ ( ap @ V4R @ V0a1 ) @ V1a2 ) )
% 5.66/5.90 & ( p @ ( ap @ ( ap @ V4R @ V2b1 ) @ V3b2 ) ) )
% 5.66/5.90 => ( ( V0a1 = V2b1 )
% 5.66/5.90 => ( p @ ( ap @ ( ap @ V4R @ V1a2 ) @ V3b2 ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Equotient_2EABSTRACT__RES__ABSTRACT,axiom,
% 5.66/5.90 ! [A_27a: del,A_27b: del,A_27c: del,V0R1: $i] :
% 5.66/5.90 ( ( mem @ V0R1 @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.90 => ! [V1abs1: $i] :
% 5.66/5.90 ( ( mem @ V1abs1 @ ( arr @ A_27a @ A_27c ) )
% 5.66/5.90 => ! [V2rep1: $i] :
% 5.66/5.90 ( ( mem @ V2rep1 @ ( arr @ A_27c @ A_27a ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2EQUOTIENT @ A_27a @ A_27c ) @ V0R1 ) @ V1abs1 ) @ V2rep1 ) )
% 5.66/5.90 => ! [V3R2: $i] :
% 5.66/5.90 ( ( mem @ V3R2 @ ( arr @ A_27b @ ( arr @ A_27b @ bool ) ) )
% 5.66/5.90 => ! [V4f: $i] :
% 5.66/5.90 ( ( mem @ V4f @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.90 => ! [V5g: $i] :
% 5.66/5.90 ( ( mem @ V5g @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2E_3D_3D_3D_3E @ A_27a @ A_27b ) @ V0R1 ) @ V3R2 ) @ V4f ) @ V5g ) )
% 5.66/5.90 => ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2E_3D_3D_3D_3E @ A_27a @ A_27b ) @ V0R1 ) @ V3R2 ) @ V4f ) @ ( ap @ ( ap @ ( c_2Ebool_2ERES__ABSTRACT @ A_27a @ A_27b ) @ ( ap @ ( c_2Equotient_2Erespects @ A_27a @ bool ) @ V0R1 ) ) @ V5g ) ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Equotient_2ERES__ABSTRACT__ABSTRACT,axiom,
% 5.66/5.90 ! [A_27a: del,A_27b: del,A_27c: del,V0R1: $i] :
% 5.66/5.90 ( ( mem @ V0R1 @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.90 => ! [V1abs1: $i] :
% 5.66/5.90 ( ( mem @ V1abs1 @ ( arr @ A_27a @ A_27c ) )
% 5.66/5.90 => ! [V2rep1: $i] :
% 5.66/5.90 ( ( mem @ V2rep1 @ ( arr @ A_27c @ A_27a ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2EQUOTIENT @ A_27a @ A_27c ) @ V0R1 ) @ V1abs1 ) @ V2rep1 ) )
% 5.66/5.90 => ! [V3R2: $i] :
% 5.66/5.90 ( ( mem @ V3R2 @ ( arr @ A_27b @ ( arr @ A_27b @ bool ) ) )
% 5.66/5.90 => ! [V4f: $i] :
% 5.66/5.90 ( ( mem @ V4f @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.90 => ! [V5g: $i] :
% 5.66/5.90 ( ( mem @ V5g @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2E_3D_3D_3D_3E @ A_27a @ A_27b ) @ V0R1 ) @ V3R2 ) @ V4f ) @ V5g ) )
% 5.66/5.90 => ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2E_3D_3D_3D_3E @ A_27a @ A_27b ) @ V0R1 ) @ V3R2 ) @ ( ap @ ( ap @ ( c_2Ebool_2ERES__ABSTRACT @ A_27a @ A_27b ) @ ( ap @ ( c_2Equotient_2Erespects @ A_27a @ bool ) @ V0R1 ) ) @ V4f ) ) @ V5g ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Equotient_2EEQUIV__RES__ABSTRACT__LEFT,axiom,
% 5.66/5.90 ! [A_27a: del,A_27b: del,V0R1: $i] :
% 5.66/5.90 ( ( mem @ V0R1 @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.90 => ! [V1R2: $i] :
% 5.66/5.90 ( ( mem @ V1R2 @ ( arr @ A_27b @ ( arr @ A_27b @ bool ) ) )
% 5.66/5.90 => ! [V2f1: $i] :
% 5.66/5.90 ( ( mem @ V2f1 @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.90 => ! [V3f2: $i] :
% 5.66/5.90 ( ( mem @ V3f2 @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.90 => ! [V4x1: $i] :
% 5.66/5.90 ( ( mem @ V4x1 @ A_27a )
% 5.66/5.90 => ! [V5x2: $i] :
% 5.66/5.90 ( ( mem @ V5x2 @ A_27a )
% 5.66/5.90 => ( ( ( p @ ( ap @ ( ap @ V1R2 @ ( ap @ V2f1 @ V4x1 ) ) @ ( ap @ V3f2 @ V5x2 ) ) )
% 5.66/5.90 & ( p @ ( ap @ ( ap @ V0R1 @ V4x1 ) @ V4x1 ) ) )
% 5.66/5.90 => ( p @ ( ap @ ( ap @ V1R2 @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ERES__ABSTRACT @ A_27a @ A_27b ) @ ( ap @ ( c_2Equotient_2Erespects @ A_27a @ bool ) @ V0R1 ) ) @ V2f1 ) @ V4x1 ) ) @ ( ap @ V3f2 @ V5x2 ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Equotient_2EEQUIV__RES__ABSTRACT__RIGHT,axiom,
% 5.66/5.90 ! [A_27a: del,A_27b: del,V0R1: $i] :
% 5.66/5.90 ( ( mem @ V0R1 @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.90 => ! [V1R2: $i] :
% 5.66/5.90 ( ( mem @ V1R2 @ ( arr @ A_27b @ ( arr @ A_27b @ bool ) ) )
% 5.66/5.90 => ! [V2f1: $i] :
% 5.66/5.90 ( ( mem @ V2f1 @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.90 => ! [V3f2: $i] :
% 5.66/5.90 ( ( mem @ V3f2 @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.90 => ! [V4x1: $i] :
% 5.66/5.90 ( ( mem @ V4x1 @ A_27a )
% 5.66/5.90 => ! [V5x2: $i] :
% 5.66/5.90 ( ( mem @ V5x2 @ A_27a )
% 5.66/5.90 => ( ( ( p @ ( ap @ ( ap @ V1R2 @ ( ap @ V2f1 @ V4x1 ) ) @ ( ap @ V3f2 @ V5x2 ) ) )
% 5.66/5.90 & ( p @ ( ap @ ( ap @ V0R1 @ V5x2 ) @ V5x2 ) ) )
% 5.66/5.90 => ( p @ ( ap @ ( ap @ V1R2 @ ( ap @ V2f1 @ V4x1 ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ERES__ABSTRACT @ A_27a @ A_27b ) @ ( ap @ ( c_2Equotient_2Erespects @ A_27a @ bool ) @ V0R1 ) ) @ V3f2 ) @ V5x2 ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Equotient_2EEQUIV__RES__FORALL,axiom,
% 5.66/5.90 ! [A_27a: del,V0E: $i] :
% 5.66/5.90 ( ( mem @ V0E @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.90 => ! [V1P: $i] :
% 5.66/5.90 ( ( mem @ V1P @ ( arr @ A_27a @ bool ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( c_2Equotient_2EEQUIV @ A_27a ) @ V0E ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2ERES__FORALL @ A_27a ) @ ( ap @ ( c_2Equotient_2Erespects @ A_27a @ bool ) @ V0E ) ) @ V1P ) )
% 5.66/5.90 <=> ( p @ ( ap @ ( c_2Ebool_2E_21 @ A_27a ) @ V1P ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Equotient_2EEQUIV__RES__EXISTS,axiom,
% 5.66/5.90 ! [A_27a: del,V0E: $i] :
% 5.66/5.90 ( ( mem @ V0E @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.90 => ! [V1P: $i] :
% 5.66/5.90 ( ( mem @ V1P @ ( arr @ A_27a @ bool ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( c_2Equotient_2EEQUIV @ A_27a ) @ V0E ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2ERES__EXISTS @ A_27a ) @ ( ap @ ( c_2Equotient_2Erespects @ A_27a @ bool ) @ V0E ) ) @ V1P ) )
% 5.66/5.90 <=> ( p @ ( ap @ ( c_2Ebool_2E_3F @ A_27a ) @ V1P ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Equotient_2EEQUIV__RES__EXISTS__UNIQUE,axiom,
% 5.66/5.90 ! [A_27a: del,V0E: $i] :
% 5.66/5.90 ( ( mem @ V0E @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.90 => ! [V1P: $i] :
% 5.66/5.90 ( ( mem @ V1P @ ( arr @ A_27a @ bool ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( c_2Equotient_2EEQUIV @ A_27a ) @ V0E ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2ERES__EXISTS__UNIQUE @ A_27a ) @ ( ap @ ( c_2Equotient_2Erespects @ A_27a @ bool ) @ V0E ) ) @ V1P ) )
% 5.66/5.90 <=> ( p @ ( ap @ ( c_2Ebool_2E_3F_21 @ A_27a ) @ V1P ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Equotient_2EFORALL__REGULAR,axiom,
% 5.66/5.90 ! [A_27a: del,V0P: $i] :
% 5.66/5.90 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.66/5.90 => ! [V1Q: $i] :
% 5.66/5.90 ( ( mem @ V1Q @ ( arr @ A_27a @ bool ) )
% 5.66/5.90 => ( ! [V2x: $i] :
% 5.66/5.90 ( ( mem @ V2x @ A_27a )
% 5.66/5.90 => ( ( p @ ( ap @ V0P @ V2x ) )
% 5.66/5.90 => ( p @ ( ap @ V1Q @ V2x ) ) ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( c_2Ebool_2E_21 @ A_27a ) @ V0P ) )
% 5.66/5.90 => ( p @ ( ap @ ( c_2Ebool_2E_21 @ A_27a ) @ V1Q ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Equotient_2EEXISTS__REGULAR,axiom,
% 5.66/5.90 ! [A_27a: del,V0P: $i] :
% 5.66/5.90 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.66/5.90 => ! [V1Q: $i] :
% 5.66/5.90 ( ( mem @ V1Q @ ( arr @ A_27a @ bool ) )
% 5.66/5.90 => ( ! [V2x: $i] :
% 5.66/5.90 ( ( mem @ V2x @ A_27a )
% 5.66/5.90 => ( ( p @ ( ap @ V0P @ V2x ) )
% 5.66/5.90 => ( p @ ( ap @ V1Q @ V2x ) ) ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( c_2Ebool_2E_3F @ A_27a ) @ V0P ) )
% 5.66/5.90 => ( p @ ( ap @ ( c_2Ebool_2E_3F @ A_27a ) @ V1Q ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Equotient_2ERES__FORALL__REGULAR,axiom,
% 5.66/5.90 ! [A_27a: del,V0P: $i] :
% 5.66/5.90 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.66/5.90 => ! [V1Q: $i] :
% 5.66/5.90 ( ( mem @ V1Q @ ( arr @ A_27a @ bool ) )
% 5.66/5.90 => ! [V2R: $i] :
% 5.66/5.90 ( ( mem @ V2R @ ( arr @ A_27a @ bool ) )
% 5.66/5.90 => ( ! [V3x: $i] :
% 5.66/5.90 ( ( mem @ V3x @ A_27a )
% 5.66/5.90 => ( ( p @ ( ap @ V2R @ V3x ) )
% 5.66/5.90 => ( ( p @ ( ap @ V0P @ V3x ) )
% 5.66/5.90 => ( p @ ( ap @ V1Q @ V3x ) ) ) ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2ERES__FORALL @ A_27a ) @ V2R ) @ V0P ) )
% 5.66/5.90 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2ERES__FORALL @ A_27a ) @ V2R ) @ V1Q ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Equotient_2ERES__EXISTS__REGULAR,axiom,
% 5.66/5.90 ! [A_27a: del,V0P: $i] :
% 5.66/5.90 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.66/5.90 => ! [V1Q: $i] :
% 5.66/5.90 ( ( mem @ V1Q @ ( arr @ A_27a @ bool ) )
% 5.66/5.90 => ! [V2R: $i] :
% 5.66/5.90 ( ( mem @ V2R @ ( arr @ A_27a @ bool ) )
% 5.66/5.90 => ( ! [V3x: $i] :
% 5.66/5.90 ( ( mem @ V3x @ A_27a )
% 5.66/5.90 => ( ( p @ ( ap @ V2R @ V3x ) )
% 5.66/5.90 => ( ( p @ ( ap @ V0P @ V3x ) )
% 5.66/5.90 => ( p @ ( ap @ V1Q @ V3x ) ) ) ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2ERES__EXISTS @ A_27a ) @ V2R ) @ V0P ) )
% 5.66/5.90 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2ERES__EXISTS @ A_27a ) @ V2R ) @ V1Q ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Equotient_2ELEFT__RES__FORALL__REGULAR,axiom,
% 5.66/5.90 ! [A_27a: del,V0P: $i] :
% 5.66/5.90 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.66/5.90 => ! [V1R: $i] :
% 5.66/5.90 ( ( mem @ V1R @ ( arr @ A_27a @ bool ) )
% 5.66/5.90 => ! [V2Q: $i] :
% 5.66/5.90 ( ( mem @ V2Q @ ( arr @ A_27a @ bool ) )
% 5.66/5.90 => ( ! [V3x: $i] :
% 5.66/5.90 ( ( mem @ V3x @ A_27a )
% 5.66/5.90 => ( ( p @ ( ap @ V1R @ V3x ) )
% 5.66/5.90 & ( ( p @ ( ap @ V2Q @ V3x ) )
% 5.66/5.90 => ( p @ ( ap @ V0P @ V3x ) ) ) ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2ERES__FORALL @ A_27a ) @ V1R ) @ V2Q ) )
% 5.66/5.90 => ( p @ ( ap @ ( c_2Ebool_2E_21 @ A_27a ) @ V0P ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Equotient_2ERIGHT__RES__FORALL__REGULAR,axiom,
% 5.66/5.90 ! [A_27a: del,V0P: $i] :
% 5.66/5.90 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.66/5.90 => ! [V1R: $i] :
% 5.66/5.90 ( ( mem @ V1R @ ( arr @ A_27a @ bool ) )
% 5.66/5.90 => ! [V2Q: $i] :
% 5.66/5.90 ( ( mem @ V2Q @ ( arr @ A_27a @ bool ) )
% 5.66/5.90 => ( ! [V3x: $i] :
% 5.66/5.90 ( ( mem @ V3x @ A_27a )
% 5.66/5.90 => ( ( p @ ( ap @ V1R @ V3x ) )
% 5.66/5.90 => ( ( p @ ( ap @ V0P @ V3x ) )
% 5.66/5.90 => ( p @ ( ap @ V2Q @ V3x ) ) ) ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( c_2Ebool_2E_21 @ A_27a ) @ V0P ) )
% 5.66/5.90 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2ERES__FORALL @ A_27a ) @ V1R ) @ V2Q ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Equotient_2ELEFT__RES__EXISTS__REGULAR,axiom,
% 5.66/5.90 ! [A_27a: del,V0P: $i] :
% 5.66/5.90 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.66/5.90 => ! [V1R: $i] :
% 5.66/5.90 ( ( mem @ V1R @ ( arr @ A_27a @ bool ) )
% 5.66/5.90 => ! [V2Q: $i] :
% 5.66/5.90 ( ( mem @ V2Q @ ( arr @ A_27a @ bool ) )
% 5.66/5.90 => ( ! [V3x: $i] :
% 5.66/5.90 ( ( mem @ V3x @ A_27a )
% 5.66/5.90 => ( ( p @ ( ap @ V1R @ V3x ) )
% 5.66/5.90 => ( ( p @ ( ap @ V2Q @ V3x ) )
% 5.66/5.90 => ( p @ ( ap @ V0P @ V3x ) ) ) ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2ERES__EXISTS @ A_27a ) @ V1R ) @ V2Q ) )
% 5.66/5.90 => ( p @ ( ap @ ( c_2Ebool_2E_3F @ A_27a ) @ V0P ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Equotient_2ERIGHT__RES__EXISTS__REGULAR,axiom,
% 5.66/5.90 ! [A_27a: del,V0P: $i] :
% 5.66/5.90 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.66/5.90 => ! [V1R: $i] :
% 5.66/5.90 ( ( mem @ V1R @ ( arr @ A_27a @ bool ) )
% 5.66/5.90 => ! [V2Q: $i] :
% 5.66/5.90 ( ( mem @ V2Q @ ( arr @ A_27a @ bool ) )
% 5.66/5.90 => ( ! [V3x: $i] :
% 5.66/5.90 ( ( mem @ V3x @ A_27a )
% 5.66/5.90 => ( ( p @ ( ap @ V1R @ V3x ) )
% 5.66/5.90 & ( ( p @ ( ap @ V0P @ V3x ) )
% 5.66/5.90 => ( p @ ( ap @ V2Q @ V3x ) ) ) ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( c_2Ebool_2E_3F @ A_27a ) @ V0P ) )
% 5.66/5.90 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2ERES__EXISTS @ A_27a ) @ V1R ) @ V2Q ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Equotient_2EEXISTS__UNIQUE__REGULAR,axiom,
% 5.66/5.90 ! [A_27a: del,V0P: $i] :
% 5.66/5.90 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.66/5.90 => ! [V1E: $i] :
% 5.66/5.90 ( ( mem @ V1E @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.90 => ! [V2Q: $i] :
% 5.66/5.90 ( ( mem @ V2Q @ ( arr @ A_27a @ bool ) )
% 5.66/5.90 => ( ( ! [V3x: $i] :
% 5.66/5.90 ( ( mem @ V3x @ A_27a )
% 5.66/5.90 => ( ( p @ ( ap @ V0P @ V3x ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( c_2Equotient_2Erespects @ A_27a @ bool ) @ V1E ) @ V3x ) )
% 5.66/5.90 & ( p @ ( ap @ V2Q @ V3x ) ) ) ) )
% 5.66/5.90 & ! [V4x: $i] :
% 5.66/5.90 ( ( mem @ V4x @ A_27a )
% 5.66/5.90 => ! [V5y: $i] :
% 5.66/5.90 ( ( mem @ V5y @ A_27a )
% 5.66/5.90 => ( ( ( p @ ( ap @ ( ap @ ( c_2Equotient_2Erespects @ A_27a @ bool ) @ V1E ) @ V4x ) )
% 5.66/5.90 & ( p @ ( ap @ V2Q @ V4x ) )
% 5.66/5.90 & ( p @ ( ap @ ( ap @ ( c_2Equotient_2Erespects @ A_27a @ bool ) @ V1E ) @ V5y ) )
% 5.66/5.90 & ( p @ ( ap @ V2Q @ V5y ) ) )
% 5.66/5.90 => ( p @ ( ap @ ( ap @ V1E @ V4x ) @ V5y ) ) ) ) ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( c_2Ebool_2E_3F_21 @ A_27a ) @ V0P ) )
% 5.66/5.90 => ( p @ ( ap @ ( ap @ ( c_2Equotient_2ERES__EXISTS__EQUIV @ A_27a ) @ V1E ) @ V2Q ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Equotient_2ERES__EXISTS__UNIQUE__RESPECTS__REGULAR,axiom,
% 5.66/5.90 ! [A_27a: del,V0R: $i] :
% 5.66/5.90 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.90 => ! [V1P: $i] :
% 5.66/5.90 ( ( mem @ V1P @ ( arr @ A_27a @ bool ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2ERES__EXISTS__UNIQUE @ A_27a ) @ ( ap @ ( c_2Equotient_2Erespects @ A_27a @ bool ) @ V0R ) ) @ V1P ) )
% 5.66/5.90 => ( p @ ( ap @ ( ap @ ( c_2Equotient_2ERES__EXISTS__EQUIV @ A_27a ) @ V0R ) @ V1P ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Equotient_2ERES__EXISTS__UNIQUE__REGULAR,axiom,
% 5.66/5.90 ! [A_27a: del,V0P: $i] :
% 5.66/5.90 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.66/5.90 => ! [V1R: $i] :
% 5.66/5.90 ( ( mem @ V1R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.90 => ! [V2Q: $i] :
% 5.66/5.90 ( ( mem @ V2Q @ ( arr @ A_27a @ bool ) )
% 5.66/5.90 => ( ( ! [V3x: $i] :
% 5.66/5.90 ( ( mem @ V3x @ A_27a )
% 5.66/5.90 => ( ( p @ ( ap @ V0P @ V3x ) )
% 5.66/5.90 => ( p @ ( ap @ V2Q @ V3x ) ) ) )
% 5.66/5.90 & ! [V4x: $i] :
% 5.66/5.90 ( ( mem @ V4x @ A_27a )
% 5.66/5.90 => ! [V5y: $i] :
% 5.66/5.90 ( ( mem @ V5y @ A_27a )
% 5.66/5.90 => ( ( ( p @ ( ap @ ( ap @ ( c_2Equotient_2Erespects @ A_27a @ bool ) @ V1R ) @ V4x ) )
% 5.66/5.90 & ( p @ ( ap @ V2Q @ V4x ) )
% 5.66/5.90 & ( p @ ( ap @ ( ap @ ( c_2Equotient_2Erespects @ A_27a @ bool ) @ V1R ) @ V5y ) )
% 5.66/5.90 & ( p @ ( ap @ V2Q @ V5y ) ) )
% 5.66/5.90 => ( p @ ( ap @ ( ap @ V1R @ V4x ) @ V5y ) ) ) ) ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2ERES__EXISTS__UNIQUE @ A_27a ) @ ( ap @ ( c_2Equotient_2Erespects @ A_27a @ bool ) @ V1R ) ) @ V0P ) )
% 5.66/5.90 => ( p @ ( ap @ ( ap @ ( c_2Equotient_2ERES__EXISTS__EQUIV @ A_27a ) @ V1R ) @ V2Q ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2Equotient_2ERES__EXISTS__UNIQUE__REGULAR__SAME,axiom,
% 5.66/5.90 ! [A_27a: del,V0R: $i] :
% 5.66/5.90 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.90 => ! [V1P: $i] :
% 5.66/5.90 ( ( mem @ V1P @ ( arr @ A_27a @ bool ) )
% 5.66/5.90 => ! [V2Q: $i] :
% 5.66/5.90 ( ( mem @ V2Q @ ( arr @ A_27a @ bool ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Equotient_2E_3D_3D_3D_3E @ A_27a @ bool ) @ V0R ) @ ( c_2Emin_2E_3D @ bool ) ) @ V1P ) @ V2Q ) )
% 5.66/5.90 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2ERES__EXISTS__UNIQUE @ A_27a ) @ ( ap @ ( c_2Equotient_2Erespects @ A_27a @ bool ) @ V0R ) ) @ V1P ) )
% 5.66/5.90 => ( p @ ( ap @ ( ap @ ( c_2Equotient_2ERES__EXISTS__EQUIV @ A_27a ) @ V0R ) @ V2Q ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 %------------------------------------------------------------------------------
% 5.66/5.90 %------------------------------------------------------------------------------
% 5.66/5.90 thf(tp_c_2EPast__Temporal__Logic_2EInitPoint,type,
% 5.66/5.90 c_2EPast__Temporal__Logic_2EInitPoint: $i ).
% 5.66/5.90
% 5.66/5.90 thf(mem_c_2EPast__Temporal__Logic_2EInitPoint,axiom,
% 5.66/5.90 mem @ c_2EPast__Temporal__Logic_2EInitPoint @ ( arr @ ty_2Enum_2Enum @ bool ) ).
% 5.66/5.90
% 5.66/5.90 thf(tp_c_2EPast__Temporal__Logic_2EPALWAYS,type,
% 5.66/5.90 c_2EPast__Temporal__Logic_2EPALWAYS: $i ).
% 5.66/5.90
% 5.66/5.90 thf(mem_c_2EPast__Temporal__Logic_2EPALWAYS,axiom,
% 5.66/5.90 mem @ c_2EPast__Temporal__Logic_2EPALWAYS @ ( arr @ ( arr @ ty_2Enum_2Enum @ bool ) @ ( arr @ ty_2Enum_2Enum @ bool ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(tp_c_2EPast__Temporal__Logic_2EPBEFORE,type,
% 5.66/5.90 c_2EPast__Temporal__Logic_2EPBEFORE: $i ).
% 5.66/5.90
% 5.66/5.90 thf(mem_c_2EPast__Temporal__Logic_2EPBEFORE,axiom,
% 5.66/5.90 mem @ c_2EPast__Temporal__Logic_2EPBEFORE @ ( arr @ ( arr @ ty_2Enum_2Enum @ bool ) @ ( arr @ ( arr @ ty_2Enum_2Enum @ bool ) @ ( arr @ ty_2Enum_2Enum @ bool ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(tp_c_2EPast__Temporal__Logic_2EPEVENTUAL,type,
% 5.66/5.90 c_2EPast__Temporal__Logic_2EPEVENTUAL: $i ).
% 5.66/5.90
% 5.66/5.90 thf(mem_c_2EPast__Temporal__Logic_2EPEVENTUAL,axiom,
% 5.66/5.90 mem @ c_2EPast__Temporal__Logic_2EPEVENTUAL @ ( arr @ ( arr @ ty_2Enum_2Enum @ bool ) @ ( arr @ ty_2Enum_2Enum @ bool ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(tp_c_2EPast__Temporal__Logic_2EPNEXT,type,
% 5.66/5.90 c_2EPast__Temporal__Logic_2EPNEXT: $i ).
% 5.66/5.90
% 5.66/5.90 thf(mem_c_2EPast__Temporal__Logic_2EPNEXT,axiom,
% 5.66/5.90 mem @ c_2EPast__Temporal__Logic_2EPNEXT @ ( arr @ ( arr @ ty_2Enum_2Enum @ bool ) @ ( arr @ ty_2Enum_2Enum @ bool ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(tp_c_2EPast__Temporal__Logic_2EPSBEFORE,type,
% 5.66/5.90 c_2EPast__Temporal__Logic_2EPSBEFORE: $i ).
% 5.66/5.90
% 5.66/5.90 thf(mem_c_2EPast__Temporal__Logic_2EPSBEFORE,axiom,
% 5.66/5.90 mem @ c_2EPast__Temporal__Logic_2EPSBEFORE @ ( arr @ ( arr @ ty_2Enum_2Enum @ bool ) @ ( arr @ ( arr @ ty_2Enum_2Enum @ bool ) @ ( arr @ ty_2Enum_2Enum @ bool ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(tp_c_2EPast__Temporal__Logic_2EPSNEXT,type,
% 5.66/5.90 c_2EPast__Temporal__Logic_2EPSNEXT: $i ).
% 5.66/5.90
% 5.66/5.90 thf(mem_c_2EPast__Temporal__Logic_2EPSNEXT,axiom,
% 5.66/5.90 mem @ c_2EPast__Temporal__Logic_2EPSNEXT @ ( arr @ ( arr @ ty_2Enum_2Enum @ bool ) @ ( arr @ ty_2Enum_2Enum @ bool ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(tp_c_2EPast__Temporal__Logic_2EPSUNTIL,type,
% 5.66/5.90 c_2EPast__Temporal__Logic_2EPSUNTIL: $i ).
% 5.66/5.90
% 5.66/5.90 thf(mem_c_2EPast__Temporal__Logic_2EPSUNTIL,axiom,
% 5.66/5.90 mem @ c_2EPast__Temporal__Logic_2EPSUNTIL @ ( arr @ ( arr @ ty_2Enum_2Enum @ bool ) @ ( arr @ ( arr @ ty_2Enum_2Enum @ bool ) @ ( arr @ ty_2Enum_2Enum @ bool ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(tp_c_2EPast__Temporal__Logic_2EPSWHEN,type,
% 5.66/5.90 c_2EPast__Temporal__Logic_2EPSWHEN: $i ).
% 5.66/5.90
% 5.66/5.90 thf(mem_c_2EPast__Temporal__Logic_2EPSWHEN,axiom,
% 5.66/5.90 mem @ c_2EPast__Temporal__Logic_2EPSWHEN @ ( arr @ ( arr @ ty_2Enum_2Enum @ bool ) @ ( arr @ ( arr @ ty_2Enum_2Enum @ bool ) @ ( arr @ ty_2Enum_2Enum @ bool ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(tp_c_2EPast__Temporal__Logic_2EPUNTIL,type,
% 5.66/5.90 c_2EPast__Temporal__Logic_2EPUNTIL: $i ).
% 5.66/5.90
% 5.66/5.90 thf(mem_c_2EPast__Temporal__Logic_2EPUNTIL,axiom,
% 5.66/5.90 mem @ c_2EPast__Temporal__Logic_2EPUNTIL @ ( arr @ ( arr @ ty_2Enum_2Enum @ bool ) @ ( arr @ ( arr @ ty_2Enum_2Enum @ bool ) @ ( arr @ ty_2Enum_2Enum @ bool ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(tp_c_2EPast__Temporal__Logic_2EPWHEN,type,
% 5.66/5.90 c_2EPast__Temporal__Logic_2EPWHEN: $i ).
% 5.66/5.90
% 5.66/5.90 thf(mem_c_2EPast__Temporal__Logic_2EPWHEN,axiom,
% 5.66/5.90 mem @ c_2EPast__Temporal__Logic_2EPWHEN @ ( arr @ ( arr @ ty_2Enum_2Enum @ bool ) @ ( arr @ ( arr @ ty_2Enum_2Enum @ bool ) @ ( arr @ ty_2Enum_2Enum @ bool ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(ax_thm_2EPast__Temporal__Logic_2EInitPoint,axiom,
% 5.66/5.90 ( c_2EPast__Temporal__Logic_2EInitPoint
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V0t: $i] : ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ V0t ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(ax_thm_2EPast__Temporal__Logic_2EPSNEXT,axiom,
% 5.66/5.90 ! [V0a: $i] :
% 5.66/5.90 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.90 => ! [V1t0: tp__ty_2Enum_2Enum] :
% 5.66/5.90 ( ( p @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSNEXT @ V0a ) @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) )
% 5.66/5.90 <=> ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) )
% 5.66/5.90 & ( p @ ( ap @ V0a @ ( ap @ c_2Eprim__rec_2EPRE @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(ax_thm_2EPast__Temporal__Logic_2EPNEXT,axiom,
% 5.66/5.90 ! [V0a: $i] :
% 5.66/5.90 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.90 => ! [V1t0: tp__ty_2Enum_2Enum] :
% 5.66/5.90 ( ( p @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ V0a ) @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) )
% 5.66/5.90 <=> ( ( V1t0 = fo__c_2Enum_2E0 )
% 5.66/5.90 | ( p @ ( ap @ V0a @ ( ap @ c_2Eprim__rec_2EPRE @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(ax_thm_2EPast__Temporal__Logic_2EPALWAYS,axiom,
% 5.66/5.90 ! [V0a: $i] :
% 5.66/5.90 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.90 => ! [V1t0: tp__ty_2Enum_2Enum] :
% 5.66/5.90 ( ( p @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPALWAYS @ V0a ) @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) )
% 5.66/5.90 <=> ! [V2t: tp__ty_2Enum_2Enum] :
% 5.66/5.90 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V2t ) ) @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) )
% 5.66/5.90 => ( p @ ( ap @ V0a @ ( inj__ty_2Enum_2Enum @ V2t ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(ax_thm_2EPast__Temporal__Logic_2EPEVENTUAL,axiom,
% 5.66/5.90 ! [V0a: $i] :
% 5.66/5.90 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.90 => ! [V1t0: tp__ty_2Enum_2Enum] :
% 5.66/5.90 ( ( p @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPEVENTUAL @ V0a ) @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) )
% 5.66/5.90 <=> ? [V2t: tp__ty_2Enum_2Enum] :
% 5.66/5.90 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V2t ) ) @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) )
% 5.66/5.90 & ( p @ ( ap @ V0a @ ( inj__ty_2Enum_2Enum @ V2t ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(ax_thm_2EPast__Temporal__Logic_2EPSWHEN,axiom,
% 5.66/5.90 ! [V0a: $i] :
% 5.66/5.90 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.90 => ! [V1b: $i] :
% 5.66/5.90 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.90 => ! [V2t0: tp__ty_2Enum_2Enum] :
% 5.66/5.90 ( ( p @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSWHEN @ V0a ) @ V1b ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) )
% 5.66/5.90 <=> ? [V3delta: tp__ty_2Enum_2Enum] :
% 5.66/5.90 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V3delta ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) )
% 5.66/5.90 & ( p @ ( ap @ V0a @ ( inj__ty_2Enum_2Enum @ V3delta ) ) )
% 5.66/5.90 & ( p @ ( ap @ V1b @ ( inj__ty_2Enum_2Enum @ V3delta ) ) )
% 5.66/5.90 & ! [V4t: tp__ty_2Enum_2Enum] :
% 5.66/5.90 ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V3delta ) ) @ ( inj__ty_2Enum_2Enum @ V4t ) ) )
% 5.66/5.90 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V4t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) )
% 5.66/5.90 => ~ ( p @ ( ap @ V1b @ ( inj__ty_2Enum_2Enum @ V4t ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(ax_thm_2EPast__Temporal__Logic_2EPSUNTIL,axiom,
% 5.66/5.90 ! [V0a: $i] :
% 5.66/5.90 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.90 => ! [V1b: $i] :
% 5.66/5.90 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.90 => ! [V2t0: tp__ty_2Enum_2Enum] :
% 5.66/5.90 ( ( p @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSUNTIL @ V0a ) @ V1b ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) )
% 5.66/5.90 <=> ? [V3delta: tp__ty_2Enum_2Enum] :
% 5.66/5.90 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V3delta ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) )
% 5.66/5.90 & ( p @ ( ap @ V1b @ ( inj__ty_2Enum_2Enum @ V3delta ) ) )
% 5.66/5.90 & ! [V4t: tp__ty_2Enum_2Enum] :
% 5.66/5.90 ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V3delta ) ) @ ( inj__ty_2Enum_2Enum @ V4t ) ) )
% 5.66/5.90 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V4t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) )
% 5.66/5.90 => ( ( p @ ( ap @ V0a @ ( inj__ty_2Enum_2Enum @ V4t ) ) )
% 5.66/5.90 & ~ ( p @ ( ap @ V1b @ ( inj__ty_2Enum_2Enum @ V4t ) ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(ax_thm_2EPast__Temporal__Logic_2EPSBEFORE,axiom,
% 5.66/5.90 ! [V0a: $i] :
% 5.66/5.90 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.90 => ! [V1b: $i] :
% 5.66/5.90 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.90 => ! [V2t0: tp__ty_2Enum_2Enum] :
% 5.66/5.90 ( ( p @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSBEFORE @ V0a ) @ V1b ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) )
% 5.66/5.90 <=> ? [V3delta: tp__ty_2Enum_2Enum] :
% 5.66/5.90 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V3delta ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) )
% 5.66/5.90 & ( p @ ( ap @ V0a @ ( inj__ty_2Enum_2Enum @ V3delta ) ) )
% 5.66/5.90 & ! [V4t: tp__ty_2Enum_2Enum] :
% 5.66/5.90 ( ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V3delta ) ) @ ( inj__ty_2Enum_2Enum @ V4t ) ) )
% 5.66/5.90 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V4t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) )
% 5.66/5.90 => ~ ( p @ ( ap @ V1b @ ( inj__ty_2Enum_2Enum @ V4t ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(ax_thm_2EPast__Temporal__Logic_2EPWHEN,axiom,
% 5.66/5.90 ! [V0a: $i] :
% 5.66/5.90 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.90 => ! [V1b: $i] :
% 5.66/5.90 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.90 => ! [V2t0: tp__ty_2Enum_2Enum] :
% 5.66/5.90 ( ( p @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPWHEN @ V0a ) @ V1b ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) )
% 5.66/5.90 <=> ( ! [V3t: tp__ty_2Enum_2Enum] :
% 5.66/5.90 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V3t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) )
% 5.66/5.90 => ~ ( p @ ( ap @ V1b @ ( inj__ty_2Enum_2Enum @ V3t ) ) ) )
% 5.66/5.90 | ? [V4delta: tp__ty_2Enum_2Enum] :
% 5.66/5.90 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V4delta ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) )
% 5.66/5.90 & ( p @ ( ap @ V0a @ ( inj__ty_2Enum_2Enum @ V4delta ) ) )
% 5.66/5.90 & ( p @ ( ap @ V1b @ ( inj__ty_2Enum_2Enum @ V4delta ) ) )
% 5.66/5.90 & ! [V5t: tp__ty_2Enum_2Enum] :
% 5.66/5.90 ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V4delta ) ) @ ( inj__ty_2Enum_2Enum @ V5t ) ) )
% 5.66/5.90 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V5t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) )
% 5.66/5.90 => ~ ( p @ ( ap @ V1b @ ( inj__ty_2Enum_2Enum @ V5t ) ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(ax_thm_2EPast__Temporal__Logic_2EPUNTIL,axiom,
% 5.66/5.90 ! [V0a: $i] :
% 5.66/5.90 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.90 => ! [V1b: $i] :
% 5.66/5.90 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.90 => ! [V2t0: tp__ty_2Enum_2Enum] :
% 5.66/5.90 ( ( p @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPUNTIL @ V0a ) @ V1b ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) )
% 5.66/5.90 <=> ( ! [V3t: tp__ty_2Enum_2Enum] :
% 5.66/5.90 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V3t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) )
% 5.66/5.90 => ( p @ ( ap @ V0a @ ( inj__ty_2Enum_2Enum @ V3t ) ) ) )
% 5.66/5.90 | ? [V4delta: tp__ty_2Enum_2Enum] :
% 5.66/5.90 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V4delta ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) )
% 5.66/5.90 & ( p @ ( ap @ V1b @ ( inj__ty_2Enum_2Enum @ V4delta ) ) )
% 5.66/5.90 & ! [V5t: tp__ty_2Enum_2Enum] :
% 5.66/5.90 ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V4delta ) ) @ ( inj__ty_2Enum_2Enum @ V5t ) ) )
% 5.66/5.90 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V5t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) )
% 5.66/5.90 => ( ( p @ ( ap @ V0a @ ( inj__ty_2Enum_2Enum @ V5t ) ) )
% 5.66/5.90 & ~ ( p @ ( ap @ V1b @ ( inj__ty_2Enum_2Enum @ V5t ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(ax_thm_2EPast__Temporal__Logic_2EPBEFORE,axiom,
% 5.66/5.90 ! [V0a: $i] :
% 5.66/5.90 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.90 => ! [V1b: $i] :
% 5.66/5.90 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.90 => ! [V2t0: tp__ty_2Enum_2Enum] :
% 5.66/5.90 ( ( p @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPBEFORE @ V0a ) @ V1b ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) )
% 5.66/5.90 <=> ( ! [V3t: tp__ty_2Enum_2Enum] :
% 5.66/5.90 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V3t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) )
% 5.66/5.90 => ~ ( p @ ( ap @ V1b @ ( inj__ty_2Enum_2Enum @ V3t ) ) ) )
% 5.66/5.90 | ? [V4delta: tp__ty_2Enum_2Enum] :
% 5.66/5.90 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V4delta ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) )
% 5.66/5.90 & ( p @ ( ap @ V0a @ ( inj__ty_2Enum_2Enum @ V4delta ) ) )
% 5.66/5.90 & ! [V5t: tp__ty_2Enum_2Enum] :
% 5.66/5.90 ( ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V4delta ) ) @ ( inj__ty_2Enum_2Enum @ V5t ) ) )
% 5.66/5.90 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V5t ) ) @ ( inj__ty_2Enum_2Enum @ V2t0 ) ) ) )
% 5.66/5.90 => ~ ( p @ ( ap @ V1b @ ( inj__ty_2Enum_2Enum @ V5t ) ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2EPast__Temporal__Logic_2EINITIALISATION,axiom,
% 5.66/5.90 ! [V0a: $i] :
% 5.66/5.90 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.90 => ! [V1b: $i] :
% 5.66/5.90 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.90 => ( ( ( p @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ V0a ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.66/5.90 <=> $true )
% 5.66/5.90 & ( ( p @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSNEXT @ V0a ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.66/5.90 <=> $false )
% 5.66/5.90 & ( ( p @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPALWAYS @ V0a ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.66/5.90 <=> ( p @ ( ap @ V0a @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) )
% 5.66/5.90 & ( ( p @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPEVENTUAL @ V0a ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.66/5.90 <=> ( p @ ( ap @ V0a @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) )
% 5.66/5.90 & ( ( p @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSUNTIL @ V0a ) @ V1b ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.66/5.90 <=> ( p @ ( ap @ V1b @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) )
% 5.66/5.90 & ( ( p @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSWHEN @ V0a ) @ V1b ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.66/5.90 <=> ( ( p @ ( ap @ V0a @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.66/5.90 & ( p @ ( ap @ V1b @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ) )
% 5.66/5.90 & ( ( p @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSBEFORE @ V0a ) @ V1b ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.66/5.90 <=> ( ( p @ ( ap @ V0a @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.66/5.90 & ~ ( p @ ( ap @ V1b @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ) )
% 5.66/5.90 & ( ( p @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPUNTIL @ V0a ) @ V1b ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.66/5.90 <=> ( ( p @ ( ap @ V0a @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.66/5.90 | ( p @ ( ap @ V1b @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ) )
% 5.66/5.90 & ( ( p @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPWHEN @ V0a ) @ V1b ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.66/5.90 <=> ( ( p @ ( ap @ V0a @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.66/5.90 | ~ ( p @ ( ap @ V1b @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ) )
% 5.66/5.90 & ( ( p @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPBEFORE @ V0a ) @ V1b ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.66/5.90 <=> ~ ( p @ ( ap @ V1b @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2EPast__Temporal__Logic_2ERECURSION,axiom,
% 5.66/5.90 ! [V0a: $i] :
% 5.66/5.90 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.90 => ! [V1b: $i] :
% 5.66/5.90 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.90 => ( ( ( ap @ c_2ETemporal__Logic_2EALWAYS @ V0a )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V2t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V2t ) ) @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ ( ap @ c_2ETemporal__Logic_2EALWAYS @ V0a ) ) @ V2t ) ) ) )
% 5.66/5.90 & ( ( ap @ c_2ETemporal__Logic_2EEVENTUAL @ V0a )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V3t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V0a @ V3t ) ) @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ ( ap @ c_2ETemporal__Logic_2EEVENTUAL @ V0a ) ) @ V3t ) ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2ESUNTIL @ V0a ) @ V1b )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V4t: $i] : ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V1b @ V4t ) ) ) @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V4t ) ) @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESUNTIL @ V0a ) @ V1b ) ) @ V4t ) ) ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2ESWHEN @ V0a ) @ V1b )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V5t: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ bool ) @ ( ap @ V1b @ V5t ) ) @ ( ap @ V0a @ V5t ) ) @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESWHEN @ V0a ) @ V1b ) ) @ V5t ) ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2ESBEFORE @ V0a ) @ V1b )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V6t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V1b @ V6t ) ) ) @ ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V0a @ V6t ) ) @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESBEFORE @ V0a ) @ V1b ) ) @ V6t ) ) ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2EUNTIL @ V0a ) @ V1b )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V7t: $i] : ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V1b @ V7t ) ) ) @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V7t ) ) @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ ( ap @ ( ap @ c_2ETemporal__Logic_2EUNTIL @ V0a ) @ V1b ) ) @ V7t ) ) ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2EWHEN @ V0a ) @ V1b )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V8t: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ bool ) @ ( ap @ V1b @ V8t ) ) @ ( ap @ V0a @ V8t ) ) @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ ( ap @ ( ap @ c_2ETemporal__Logic_2EWHEN @ V0a ) @ V1b ) ) @ V8t ) ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2EBEFORE @ V0a ) @ V1b )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V9t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V1b @ V9t ) ) ) @ ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V0a @ V9t ) ) @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ ( ap @ ( ap @ c_2ETemporal__Logic_2EBEFORE @ V0a ) @ V1b ) ) @ V9t ) ) ) ) )
% 5.66/5.90 & ( ( ap @ c_2EPast__Temporal__Logic_2EPALWAYS @ V0a )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V10t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V10t ) ) @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ ( ap @ c_2EPast__Temporal__Logic_2EPALWAYS @ V0a ) ) @ V10t ) ) ) )
% 5.66/5.90 & ( ( ap @ c_2EPast__Temporal__Logic_2EPEVENTUAL @ V0a )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V11t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V0a @ V11t ) ) @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSNEXT @ ( ap @ c_2EPast__Temporal__Logic_2EPEVENTUAL @ V0a ) ) @ V11t ) ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSUNTIL @ V0a ) @ V1b )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V12t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V1b @ V12t ) ) @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V12t ) ) @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSNEXT @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSUNTIL @ V0a ) @ V1b ) ) @ V12t ) ) ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSWHEN @ V0a ) @ V1b )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V13t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V13t ) ) @ ( ap @ V1b @ V13t ) ) ) @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V1b @ V13t ) ) ) @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSNEXT @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSWHEN @ V0a ) @ V1b ) ) @ V13t ) ) ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSBEFORE @ V0a ) @ V1b )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V14t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V1b @ V14t ) ) ) @ ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V0a @ V14t ) ) @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSNEXT @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSBEFORE @ V0a ) @ V1b ) ) @ V14t ) ) ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPUNTIL @ V0a ) @ V1b )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V15t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V1b @ V15t ) ) @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V15t ) ) @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPUNTIL @ V0a ) @ V1b ) ) @ V15t ) ) ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPWHEN @ V0a ) @ V1b )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V16t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V16t ) ) @ ( ap @ V1b @ V16t ) ) ) @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V1b @ V16t ) ) ) @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPWHEN @ V0a ) @ V1b ) ) @ V16t ) ) ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPBEFORE @ V0a ) @ V1b )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V17t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V1b @ V17t ) ) ) @ ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V0a @ V17t ) ) @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPBEFORE @ V0a ) @ V1b ) ) @ V17t ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2EPast__Temporal__Logic_2EFIXPOINTS,axiom,
% 5.66/5.90 ! [V0y: $i] :
% 5.66/5.90 ( ( mem @ V0y @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.90 => ! [V1a: $i] :
% 5.66/5.90 ( ( mem @ V1a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.90 => ! [V2b: $i] :
% 5.66/5.90 ( ( mem @ V2b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.90 => ( ( ( V0y
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V3t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V1a @ V3t ) ) @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V0y ) @ V3t ) ) ) )
% 5.66/5.90 <=> ( ( V0y
% 5.66/5.90 = ( ap @ c_2ETemporal__Logic_2EALWAYS @ V1a ) )
% 5.66/5.90 | ( V0y
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V4t: $i] : c_2Ebool_2EF ) ) ) )
% 5.66/5.90 & ( ( V0y
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V5t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V1a @ V5t ) ) @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V0y ) @ V5t ) ) ) )
% 5.66/5.90 <=> ( ( V0y
% 5.66/5.90 = ( ap @ c_2ETemporal__Logic_2EEVENTUAL @ V1a ) )
% 5.66/5.90 | ( V0y
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V6t: $i] : c_2Ebool_2ET ) ) ) )
% 5.66/5.90 & ( ( V0y
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V7t: $i] : ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V2b @ V7t ) ) ) @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V1a @ V7t ) ) @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V0y ) @ V7t ) ) ) ) )
% 5.66/5.90 <=> ( ( V0y
% 5.66/5.90 = ( ap @ ( ap @ c_2ETemporal__Logic_2EUNTIL @ V1a ) @ V2b ) )
% 5.66/5.90 | ( V0y
% 5.66/5.90 = ( ap @ ( ap @ c_2ETemporal__Logic_2ESUNTIL @ V1a ) @ V2b ) ) ) )
% 5.66/5.90 & ( ( V0y
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V8t: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ bool ) @ ( ap @ V2b @ V8t ) ) @ ( ap @ V1a @ V8t ) ) @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V0y ) @ V8t ) ) ) )
% 5.66/5.90 <=> ( ( V0y
% 5.66/5.90 = ( ap @ ( ap @ c_2ETemporal__Logic_2EWHEN @ V1a ) @ V2b ) )
% 5.66/5.90 | ( V0y
% 5.66/5.90 = ( ap @ ( ap @ c_2ETemporal__Logic_2ESWHEN @ V1a ) @ V2b ) ) ) )
% 5.66/5.90 & ( ( V0y
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V9t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V2b @ V9t ) ) ) @ ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V1a @ V9t ) ) @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V0y ) @ V9t ) ) ) ) )
% 5.66/5.90 <=> ( ( V0y
% 5.66/5.90 = ( ap @ ( ap @ c_2ETemporal__Logic_2EBEFORE @ V1a ) @ V2b ) )
% 5.66/5.90 | ( V0y
% 5.66/5.90 = ( ap @ ( ap @ c_2ETemporal__Logic_2ESBEFORE @ V1a ) @ V2b ) ) ) )
% 5.66/5.90 & ( ( V0y
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V10t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V1a @ V10t ) ) @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ V0y ) @ V10t ) ) ) )
% 5.66/5.90 <=> ( V0y
% 5.66/5.90 = ( ap @ c_2EPast__Temporal__Logic_2EPALWAYS @ V1a ) ) )
% 5.66/5.90 & ( ( V0y
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V11t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V1a @ V11t ) ) @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSNEXT @ V0y ) @ V11t ) ) ) )
% 5.66/5.90 <=> ( V0y
% 5.66/5.90 = ( ap @ c_2EPast__Temporal__Logic_2EPEVENTUAL @ V1a ) ) )
% 5.66/5.90 & ( ( V0y
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V12t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V2b @ V12t ) ) @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V1a @ V12t ) ) @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSNEXT @ V0y ) @ V12t ) ) ) ) )
% 5.66/5.90 <=> ( V0y
% 5.66/5.90 = ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSUNTIL @ V1a ) @ V2b ) ) )
% 5.66/5.90 & ( ( V0y
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V13t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V1a @ V13t ) ) @ ( ap @ V2b @ V13t ) ) ) @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V2b @ V13t ) ) ) @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSNEXT @ V0y ) @ V13t ) ) ) ) )
% 5.66/5.90 <=> ( V0y
% 5.66/5.90 = ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSWHEN @ V1a ) @ V2b ) ) )
% 5.66/5.90 & ( ( V0y
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V14t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V2b @ V14t ) ) ) @ ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V1a @ V14t ) ) @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSNEXT @ V0y ) @ V14t ) ) ) ) )
% 5.66/5.90 <=> ( V0y
% 5.66/5.90 = ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSBEFORE @ V1a ) @ V2b ) ) )
% 5.66/5.90 & ( ( V0y
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V15t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V2b @ V15t ) ) @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V1a @ V15t ) ) @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ V0y ) @ V15t ) ) ) ) )
% 5.66/5.90 <=> ( V0y
% 5.66/5.90 = ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPUNTIL @ V1a ) @ V2b ) ) )
% 5.66/5.90 & ( ( V0y
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V16t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V1a @ V16t ) ) @ ( ap @ V2b @ V16t ) ) ) @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V2b @ V16t ) ) ) @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ V0y ) @ V16t ) ) ) ) )
% 5.66/5.90 <=> ( V0y
% 5.66/5.90 = ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPWHEN @ V1a ) @ V2b ) ) )
% 5.66/5.90 & ( ( V0y
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V17t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V2b @ V17t ) ) ) @ ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V1a @ V17t ) ) @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ V0y ) @ V17t ) ) ) ) )
% 5.66/5.90 <=> ( V0y
% 5.66/5.90 = ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPBEFORE @ V1a ) @ V2b ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2EPast__Temporal__Logic_2ESUNTIL__EXPRESSIVE,axiom,
% 5.66/5.90 ! [V0a: $i] :
% 5.66/5.90 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.90 => ! [V1b: $i] :
% 5.66/5.90 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.90 => ( ( ( ap @ c_2ETemporal__Logic_2EALWAYS @ V0a )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V2t: $i] :
% 5.66/5.90 ( ap @ c_2Ebool_2E_7E
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ c_2ETemporal__Logic_2ESUNTIL
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V3t: $i] : c_2Ebool_2ET ) )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V4t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V4t ) ) ) )
% 5.66/5.90 @ V2t ) ) ) )
% 5.66/5.90 & ( ( ap @ c_2ETemporal__Logic_2EEVENTUAL @ V0a )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V5t: $i] :
% 5.66/5.90 ( ap
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ c_2ETemporal__Logic_2ESUNTIL
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V6t: $i] : c_2Ebool_2ET ) )
% 5.66/5.90 @ V0a )
% 5.66/5.90 @ V5t ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2EUNTIL @ V0a ) @ V1b )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V7t: $i] :
% 5.66/5.90 ( ap @ c_2Ebool_2E_7E
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ c_2ETemporal__Logic_2ESUNTIL
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V8t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V1b @ V8t ) ) ) )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V9t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V9t ) ) ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V1b @ V9t ) ) ) ) )
% 5.66/5.90 @ V7t ) ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2EWHEN @ V0a ) @ V1b )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V10t: $i] :
% 5.66/5.90 ( ap @ c_2Ebool_2E_7E
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ c_2ETemporal__Logic_2ESUNTIL
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V11t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V11t ) ) ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V1b @ V11t ) ) ) ) )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V12t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V12t ) ) ) @ ( ap @ V1b @ V12t ) ) ) )
% 5.66/5.90 @ V10t ) ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2EBEFORE @ V0a ) @ V1b )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V13t: $i] :
% 5.66/5.90 ( ap @ c_2Ebool_2E_7E
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ c_2ETemporal__Logic_2ESUNTIL
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V14t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V14t ) ) ) )
% 5.66/5.90 @ V1b )
% 5.66/5.90 @ V13t ) ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2ESWHEN @ V0a ) @ V1b )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V15t: $i] :
% 5.66/5.90 ( ap
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ c_2ETemporal__Logic_2ESUNTIL
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V16t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V1b @ V16t ) ) ) )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V17t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V17t ) ) @ ( ap @ V1b @ V17t ) ) ) )
% 5.66/5.90 @ V15t ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2ESBEFORE @ V0a ) @ V1b )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V18t: $i] :
% 5.66/5.90 ( ap
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ c_2ETemporal__Logic_2ESUNTIL
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V19t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V1b @ V19t ) ) ) )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V20t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V20t ) ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V1b @ V20t ) ) ) ) )
% 5.66/5.90 @ V18t ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2EPast__Temporal__Logic_2EUNTIL__EXPRESSIVE,axiom,
% 5.66/5.90 ! [V0a: $i] :
% 5.66/5.90 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.90 => ! [V1b: $i] :
% 5.66/5.90 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.90 => ( ( ( ap @ c_2ETemporal__Logic_2EALWAYS @ V0a )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V2t: $i] :
% 5.66/5.90 ( ap
% 5.66/5.90 @ ( ap @ ( ap @ c_2ETemporal__Logic_2EUNTIL @ V0a )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V3t: $i] : c_2Ebool_2EF ) )
% 5.66/5.90 @ V2t ) ) )
% 5.66/5.90 & ( ( ap @ c_2ETemporal__Logic_2EEVENTUAL @ V0a )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V4t: $i] :
% 5.66/5.90 ( ap @ c_2Ebool_2E_7E
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ c_2ETemporal__Logic_2EUNTIL
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V5t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V5t ) ) ) )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V6t: $i] : c_2Ebool_2EF ) )
% 5.66/5.90 @ V4t ) ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2ESUNTIL @ V0a ) @ V1b )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V7t: $i] :
% 5.66/5.90 ( ap @ c_2Ebool_2E_7E
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ c_2ETemporal__Logic_2EUNTIL
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V8t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V1b @ V8t ) ) ) )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V9t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V9t ) ) ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V1b @ V9t ) ) ) ) )
% 5.66/5.90 @ V7t ) ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2EWHEN @ V0a ) @ V1b )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V10t: $i] :
% 5.66/5.90 ( ap
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ c_2ETemporal__Logic_2EUNTIL
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V11t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V1b @ V11t ) ) ) )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V12t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V12t ) ) @ ( ap @ V1b @ V12t ) ) ) )
% 5.66/5.90 @ V10t ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2ESWHEN @ V0a ) @ V1b )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V13t: $i] :
% 5.66/5.90 ( ap @ c_2Ebool_2E_7E
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ c_2ETemporal__Logic_2EUNTIL
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V14t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V14t ) ) ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V1b @ V14t ) ) ) ) )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V15t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V15t ) ) ) @ ( ap @ V1b @ V15t ) ) ) )
% 5.66/5.90 @ V13t ) ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2EBEFORE @ V0a ) @ V1b )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V16t: $i] :
% 5.66/5.90 ( ap
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ c_2ETemporal__Logic_2EUNTIL
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V17t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V1b @ V17t ) ) ) )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V18t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V18t ) ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V1b @ V18t ) ) ) ) )
% 5.66/5.90 @ V16t ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2ESBEFORE @ V0a ) @ V1b )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V19t: $i] :
% 5.66/5.90 ( ap @ c_2Ebool_2E_7E
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ c_2ETemporal__Logic_2EUNTIL
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V20t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V20t ) ) ) )
% 5.66/5.90 @ V1b )
% 5.66/5.90 @ V19t ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2EPast__Temporal__Logic_2EWHEN__EXPRESSIVE,axiom,
% 5.66/5.90 ! [V0a: $i] :
% 5.66/5.90 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.90 => ! [V1b: $i] :
% 5.66/5.90 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.90 => ( ( ( ap @ c_2ETemporal__Logic_2EALWAYS @ V0a )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V2t: $i] :
% 5.66/5.90 ( ap
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ c_2ETemporal__Logic_2EWHEN
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V3t: $i] : c_2Ebool_2EF ) )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V4t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V4t ) ) ) )
% 5.66/5.90 @ V2t ) ) )
% 5.66/5.90 & ( ( ap @ c_2ETemporal__Logic_2EEVENTUAL @ V0a )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V5t: $i] :
% 5.66/5.90 ( ap @ c_2Ebool_2E_7E
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ c_2ETemporal__Logic_2EWHEN
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V6t: $i] : c_2Ebool_2EF ) )
% 5.66/5.90 @ V0a )
% 5.66/5.90 @ V5t ) ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2ESUNTIL @ V0a ) @ V1b )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V7t: $i] :
% 5.66/5.90 ( ap @ c_2Ebool_2E_7E
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ c_2ETemporal__Logic_2EWHEN
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V8t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V1b @ V8t ) ) ) )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V9t: $i] : ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ V0a @ V9t ) ) @ ( ap @ V1b @ V9t ) ) ) )
% 5.66/5.90 @ V7t ) ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2EUNTIL @ V0a ) @ V1b )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V10t: $i] :
% 5.66/5.90 ( ap
% 5.66/5.90 @ ( ap @ ( ap @ c_2ETemporal__Logic_2EWHEN @ V1b )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V11t: $i] : ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ V0a @ V11t ) ) @ ( ap @ V1b @ V11t ) ) ) )
% 5.66/5.90 @ V10t ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2ESWHEN @ V0a ) @ V1b )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V12t: $i] :
% 5.66/5.90 ( ap @ c_2Ebool_2E_7E
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ c_2ETemporal__Logic_2EWHEN
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V13t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V13t ) ) ) )
% 5.66/5.90 @ V1b )
% 5.66/5.90 @ V12t ) ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2EBEFORE @ V0a ) @ V1b )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V14t: $i] :
% 5.66/5.90 ( ap
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ c_2ETemporal__Logic_2EWHEN
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V15t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V1b @ V15t ) ) ) )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V16t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V0a @ V16t ) ) @ ( ap @ V1b @ V16t ) ) ) )
% 5.66/5.90 @ V14t ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2ESBEFORE @ V0a ) @ V1b )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V17t: $i] :
% 5.66/5.90 ( ap @ c_2Ebool_2E_7E
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ ( ap @ c_2ETemporal__Logic_2EWHEN @ V1b )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V18t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V0a @ V18t ) ) @ ( ap @ V1b @ V18t ) ) ) )
% 5.66/5.90 @ V17t ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2EPast__Temporal__Logic_2ESWHEN__EXPRESSIVE,axiom,
% 5.66/5.90 ! [V0a: $i] :
% 5.66/5.90 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.90 => ! [V1b: $i] :
% 5.66/5.90 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.90 => ( ( ( ap @ c_2ETemporal__Logic_2EALWAYS @ V0a )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V2t: $i] :
% 5.66/5.90 ( ap @ c_2Ebool_2E_7E
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ c_2ETemporal__Logic_2ESWHEN
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V3t: $i] : c_2Ebool_2ET ) )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V4t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V4t ) ) ) )
% 5.66/5.90 @ V2t ) ) ) )
% 5.66/5.90 & ( ( ap @ c_2ETemporal__Logic_2EEVENTUAL @ V0a )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V5t: $i] :
% 5.66/5.90 ( ap
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ c_2ETemporal__Logic_2ESWHEN
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V6t: $i] : c_2Ebool_2ET ) )
% 5.66/5.90 @ V0a )
% 5.66/5.90 @ V5t ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2ESUNTIL @ V0a ) @ V1b )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V7t: $i] :
% 5.66/5.90 ( ap
% 5.66/5.90 @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESWHEN @ V1b )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V8t: $i] : ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ V0a @ V8t ) ) @ ( ap @ V1b @ V8t ) ) ) )
% 5.66/5.90 @ V7t ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2EUNTIL @ V0a ) @ V1b )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V9t: $i] :
% 5.66/5.90 ( ap @ c_2Ebool_2E_7E
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ c_2ETemporal__Logic_2ESWHEN
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V10t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V1b @ V10t ) ) ) )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V11t: $i] : ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ V0a @ V11t ) ) @ ( ap @ V1b @ V11t ) ) ) )
% 5.66/5.90 @ V9t ) ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2EWHEN @ V0a ) @ V1b )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V12t: $i] :
% 5.66/5.90 ( ap @ c_2Ebool_2E_7E
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ c_2ETemporal__Logic_2ESWHEN
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V13t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V13t ) ) ) )
% 5.66/5.90 @ V1b )
% 5.66/5.90 @ V12t ) ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2EBEFORE @ V0a ) @ V1b )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V14t: $i] :
% 5.66/5.90 ( ap @ c_2Ebool_2E_7E
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESWHEN @ V1b )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V15t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V0a @ V15t ) ) @ ( ap @ V1b @ V15t ) ) ) )
% 5.66/5.90 @ V14t ) ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2ESBEFORE @ V0a ) @ V1b )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V16t: $i] :
% 5.66/5.90 ( ap
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ c_2ETemporal__Logic_2ESWHEN
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V17t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V1b @ V17t ) ) ) )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V18t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V0a @ V18t ) ) @ ( ap @ V1b @ V18t ) ) ) )
% 5.66/5.90 @ V16t ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2EPast__Temporal__Logic_2EBEFORE__EXPRESSIVE,axiom,
% 5.66/5.90 ! [V0a: $i] :
% 5.66/5.90 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.90 => ! [V1b: $i] :
% 5.66/5.90 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.90 => ( ( ( ap @ c_2ETemporal__Logic_2EALWAYS @ V0a )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V2t: $i] :
% 5.66/5.90 ( ap
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ c_2ETemporal__Logic_2EBEFORE
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V3t: $i] : c_2Ebool_2EF ) )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V4t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V4t ) ) ) )
% 5.66/5.90 @ V2t ) ) )
% 5.66/5.90 & ( ( ap @ c_2ETemporal__Logic_2EEVENTUAL @ V0a )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V5t: $i] :
% 5.66/5.90 ( ap @ c_2Ebool_2E_7E
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ c_2ETemporal__Logic_2EBEFORE
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V6t: $i] : c_2Ebool_2EF ) )
% 5.66/5.90 @ V0a )
% 5.66/5.90 @ V5t ) ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2ESUNTIL @ V0a ) @ V1b )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V7t: $i] :
% 5.66/5.90 ( ap @ c_2Ebool_2E_7E
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ c_2ETemporal__Logic_2EBEFORE
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V8t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V8t ) ) ) )
% 5.66/5.90 @ V1b )
% 5.66/5.90 @ V7t ) ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2EUNTIL @ V0a ) @ V1b )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V9t: $i] :
% 5.66/5.90 ( ap
% 5.66/5.90 @ ( ap @ ( ap @ c_2ETemporal__Logic_2EBEFORE @ V1b )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V10t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V10t ) ) ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V1b @ V10t ) ) ) ) )
% 5.66/5.90 @ V9t ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2ESWHEN @ V0a ) @ V1b )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V11t: $i] :
% 5.66/5.90 ( ap @ c_2Ebool_2E_7E
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ ( ap @ c_2ETemporal__Logic_2EBEFORE @ V1b )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V12t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V12t ) ) @ ( ap @ V1b @ V12t ) ) ) )
% 5.66/5.90 @ V11t ) ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2EWHEN @ V0a ) @ V1b )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V13t: $i] :
% 5.66/5.90 ( ap
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ c_2ETemporal__Logic_2EBEFORE
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V14t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V14t ) ) @ ( ap @ V1b @ V14t ) ) ) )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V15t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V15t ) ) ) @ ( ap @ V1b @ V15t ) ) ) )
% 5.66/5.90 @ V13t ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2ESBEFORE @ V0a ) @ V1b )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V16t: $i] :
% 5.66/5.90 ( ap @ c_2Ebool_2E_7E
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ ( ap @ c_2ETemporal__Logic_2EBEFORE @ V1b )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V17t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V17t ) ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V1b @ V17t ) ) ) ) )
% 5.66/5.90 @ V16t ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2EPast__Temporal__Logic_2ESBEFORE__EXPRESSIVE,axiom,
% 5.66/5.90 ! [V0a: $i] :
% 5.66/5.90 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.90 => ! [V1b: $i] :
% 5.66/5.90 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.90 => ( ( ( ap @ c_2ETemporal__Logic_2EALWAYS @ V0a )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V2t: $i] :
% 5.66/5.90 ( ap @ c_2Ebool_2E_7E
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ c_2ETemporal__Logic_2ESBEFORE
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V3t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V3t ) ) ) )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V4t: $i] : c_2Ebool_2EF ) )
% 5.66/5.90 @ V2t ) ) ) )
% 5.66/5.90 & ( ( ap @ c_2ETemporal__Logic_2EEVENTUAL @ V0a )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V5t: $i] :
% 5.66/5.90 ( ap
% 5.66/5.90 @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESBEFORE @ V0a )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V6t: $i] : c_2Ebool_2EF ) )
% 5.66/5.90 @ V5t ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2ESUNTIL @ V0a ) @ V1b )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V7t: $i] :
% 5.66/5.90 ( ap
% 5.66/5.90 @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESBEFORE @ V1b )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V8t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V8t ) ) ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V1b @ V8t ) ) ) ) )
% 5.66/5.90 @ V7t ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2EUNTIL @ V0a ) @ V1b )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V9t: $i] :
% 5.66/5.90 ( ap @ c_2Ebool_2E_7E
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ c_2ETemporal__Logic_2ESBEFORE
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V10t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V10t ) ) ) )
% 5.66/5.90 @ V1b )
% 5.66/5.90 @ V9t ) ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2ESWHEN @ V0a ) @ V1b )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V11t: $i] :
% 5.66/5.90 ( ap
% 5.66/5.90 @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESBEFORE @ V1b )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V12t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V12t ) ) ) @ ( ap @ V1b @ V12t ) ) ) )
% 5.66/5.90 @ V11t ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2EWHEN @ V0a ) @ V1b )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V13t: $i] :
% 5.66/5.90 ( ap @ c_2Ebool_2E_7E
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESBEFORE @ V1b )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V14t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V14t ) ) @ ( ap @ V1b @ V14t ) ) ) )
% 5.66/5.90 @ V13t ) ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2EBEFORE @ V0a ) @ V1b )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V15t: $i] :
% 5.66/5.90 ( ap @ c_2Ebool_2E_7E
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESBEFORE @ V1b )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V16t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V16t ) ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V1b @ V16t ) ) ) ) )
% 5.66/5.90 @ V15t ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2EPast__Temporal__Logic_2EPSUNTIL__EXPRESSIVE,axiom,
% 5.66/5.90 ! [V0a: $i] :
% 5.66/5.90 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.90 => ! [V1b: $i] :
% 5.66/5.90 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.90 => ( ( ( ap @ c_2EPast__Temporal__Logic_2EPALWAYS @ V0a )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V2t: $i] :
% 5.66/5.90 ( ap @ c_2Ebool_2E_7E
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ c_2EPast__Temporal__Logic_2EPSUNTIL
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V3t: $i] : c_2Ebool_2ET ) )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V4t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V4t ) ) ) )
% 5.66/5.90 @ V2t ) ) ) )
% 5.66/5.90 & ( ( ap @ c_2EPast__Temporal__Logic_2EPEVENTUAL @ V0a )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V5t: $i] :
% 5.66/5.90 ( ap
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ c_2EPast__Temporal__Logic_2EPSUNTIL
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V6t: $i] : c_2Ebool_2ET ) )
% 5.66/5.90 @ V0a )
% 5.66/5.90 @ V5t ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPUNTIL @ V0a ) @ V1b )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V7t: $i] :
% 5.66/5.90 ( ap @ c_2Ebool_2E_7E
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ c_2EPast__Temporal__Logic_2EPSUNTIL
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V8t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V1b @ V8t ) ) ) )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V9t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V9t ) ) ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V1b @ V9t ) ) ) ) )
% 5.66/5.90 @ V7t ) ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPWHEN @ V0a ) @ V1b )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V10t: $i] :
% 5.66/5.90 ( ap @ c_2Ebool_2E_7E
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ c_2EPast__Temporal__Logic_2EPSUNTIL
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V11t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V11t ) ) ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V1b @ V11t ) ) ) ) )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V12t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V12t ) ) ) @ ( ap @ V1b @ V12t ) ) ) )
% 5.66/5.90 @ V10t ) ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPBEFORE @ V0a ) @ V1b )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V13t: $i] :
% 5.66/5.90 ( ap @ c_2Ebool_2E_7E
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ c_2EPast__Temporal__Logic_2EPSUNTIL
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V14t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V14t ) ) ) )
% 5.66/5.90 @ V1b )
% 5.66/5.90 @ V13t ) ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSWHEN @ V0a ) @ V1b )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V15t: $i] :
% 5.66/5.90 ( ap
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ c_2EPast__Temporal__Logic_2EPSUNTIL
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V16t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V1b @ V16t ) ) ) )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V17t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V17t ) ) @ ( ap @ V1b @ V17t ) ) ) )
% 5.66/5.90 @ V15t ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSBEFORE @ V0a ) @ V1b )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V18t: $i] :
% 5.66/5.90 ( ap
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ c_2EPast__Temporal__Logic_2EPSUNTIL
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V19t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V1b @ V19t ) ) ) )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V20t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V20t ) ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V1b @ V20t ) ) ) ) )
% 5.66/5.90 @ V18t ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2EPast__Temporal__Logic_2EPUNTIL__EXPRESSIVE,axiom,
% 5.66/5.90 ! [V0a: $i] :
% 5.66/5.90 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.90 => ! [V1b: $i] :
% 5.66/5.90 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.90 => ( ( ( ap @ c_2EPast__Temporal__Logic_2EPALWAYS @ V0a )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V2t: $i] :
% 5.66/5.90 ( ap
% 5.66/5.90 @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPUNTIL @ V0a )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V3t: $i] : c_2Ebool_2EF ) )
% 5.66/5.90 @ V2t ) ) )
% 5.66/5.90 & ( ( ap @ c_2EPast__Temporal__Logic_2EPEVENTUAL @ V0a )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V4t: $i] :
% 5.66/5.90 ( ap @ c_2Ebool_2E_7E
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ c_2EPast__Temporal__Logic_2EPUNTIL
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V5t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V5t ) ) ) )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V6t: $i] : c_2Ebool_2EF ) )
% 5.66/5.90 @ V4t ) ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSUNTIL @ V0a ) @ V1b )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V7t: $i] :
% 5.66/5.90 ( ap @ c_2Ebool_2E_7E
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ c_2EPast__Temporal__Logic_2EPUNTIL
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V8t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V1b @ V8t ) ) ) )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V9t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V9t ) ) ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V1b @ V9t ) ) ) ) )
% 5.66/5.90 @ V7t ) ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPWHEN @ V0a ) @ V1b )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V10t: $i] :
% 5.66/5.90 ( ap
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ c_2EPast__Temporal__Logic_2EPUNTIL
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V11t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V1b @ V11t ) ) ) )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V12t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V12t ) ) @ ( ap @ V1b @ V12t ) ) ) )
% 5.66/5.90 @ V10t ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSWHEN @ V0a ) @ V1b )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V13t: $i] :
% 5.66/5.90 ( ap @ c_2Ebool_2E_7E
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ c_2EPast__Temporal__Logic_2EPUNTIL
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V14t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V14t ) ) ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V1b @ V14t ) ) ) ) )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V15t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V15t ) ) ) @ ( ap @ V1b @ V15t ) ) ) )
% 5.66/5.90 @ V13t ) ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPBEFORE @ V0a ) @ V1b )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V16t: $i] :
% 5.66/5.90 ( ap
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ c_2EPast__Temporal__Logic_2EPUNTIL
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V17t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V1b @ V17t ) ) ) )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V18t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V18t ) ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V1b @ V18t ) ) ) ) )
% 5.66/5.90 @ V16t ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSBEFORE @ V0a ) @ V1b )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V19t: $i] :
% 5.66/5.90 ( ap @ c_2Ebool_2E_7E
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ c_2EPast__Temporal__Logic_2EPUNTIL
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V20t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V20t ) ) ) )
% 5.66/5.90 @ V1b )
% 5.66/5.90 @ V19t ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2EPast__Temporal__Logic_2EPWHEN__EXPRESSIVE,axiom,
% 5.66/5.90 ! [V0a: $i] :
% 5.66/5.90 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.90 => ! [V1b: $i] :
% 5.66/5.90 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.90 => ( ( ( ap @ c_2EPast__Temporal__Logic_2EPALWAYS @ V0a )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V2t: $i] :
% 5.66/5.90 ( ap
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ c_2EPast__Temporal__Logic_2EPWHEN
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V3t: $i] : c_2Ebool_2EF ) )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V4t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V4t ) ) ) )
% 5.66/5.90 @ V2t ) ) )
% 5.66/5.90 & ( ( ap @ c_2EPast__Temporal__Logic_2EPEVENTUAL @ V0a )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V5t: $i] :
% 5.66/5.90 ( ap @ c_2Ebool_2E_7E
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ c_2EPast__Temporal__Logic_2EPWHEN
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V6t: $i] : c_2Ebool_2EF ) )
% 5.66/5.90 @ V0a )
% 5.66/5.90 @ V5t ) ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSUNTIL @ V0a ) @ V1b )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V7t: $i] :
% 5.66/5.90 ( ap @ c_2Ebool_2E_7E
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ c_2EPast__Temporal__Logic_2EPWHEN
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V8t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V1b @ V8t ) ) ) )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V9t: $i] : ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ V0a @ V9t ) ) @ ( ap @ V1b @ V9t ) ) ) )
% 5.66/5.90 @ V7t ) ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPUNTIL @ V0a ) @ V1b )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V10t: $i] :
% 5.66/5.90 ( ap
% 5.66/5.90 @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPWHEN @ V1b )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V11t: $i] : ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ V0a @ V11t ) ) @ ( ap @ V1b @ V11t ) ) ) )
% 5.66/5.90 @ V10t ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSWHEN @ V0a ) @ V1b )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V12t: $i] :
% 5.66/5.90 ( ap @ c_2Ebool_2E_7E
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ c_2EPast__Temporal__Logic_2EPWHEN
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V13t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V13t ) ) ) )
% 5.66/5.90 @ V1b )
% 5.66/5.90 @ V12t ) ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPBEFORE @ V0a ) @ V1b )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V14t: $i] :
% 5.66/5.90 ( ap
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ c_2EPast__Temporal__Logic_2EPWHEN
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V15t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V1b @ V15t ) ) ) )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V16t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V0a @ V16t ) ) @ ( ap @ V1b @ V16t ) ) ) )
% 5.66/5.90 @ V14t ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSBEFORE @ V0a ) @ V1b )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V17t: $i] :
% 5.66/5.90 ( ap @ c_2Ebool_2E_7E
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPWHEN @ V1b )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V18t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V0a @ V18t ) ) @ ( ap @ V1b @ V18t ) ) ) )
% 5.66/5.90 @ V17t ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2EPast__Temporal__Logic_2EPSWHEN__EXPRESSIVE,axiom,
% 5.66/5.90 ! [V0a: $i] :
% 5.66/5.90 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.90 => ! [V1b: $i] :
% 5.66/5.90 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.90 => ( ( ( ap @ c_2EPast__Temporal__Logic_2EPALWAYS @ V0a )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V2t: $i] :
% 5.66/5.90 ( ap @ c_2Ebool_2E_7E
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ c_2EPast__Temporal__Logic_2EPSWHEN
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V3t: $i] : c_2Ebool_2ET ) )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V4t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V4t ) ) ) )
% 5.66/5.90 @ V2t ) ) ) )
% 5.66/5.90 & ( ( ap @ c_2EPast__Temporal__Logic_2EPEVENTUAL @ V0a )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V5t: $i] :
% 5.66/5.90 ( ap
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ c_2EPast__Temporal__Logic_2EPSWHEN
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V6t: $i] : c_2Ebool_2ET ) )
% 5.66/5.90 @ V0a )
% 5.66/5.90 @ V5t ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSUNTIL @ V0a ) @ V1b )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V7t: $i] :
% 5.66/5.90 ( ap
% 5.66/5.90 @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSWHEN @ V1b )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V8t: $i] : ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ V0a @ V8t ) ) @ ( ap @ V1b @ V8t ) ) ) )
% 5.66/5.90 @ V7t ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPUNTIL @ V0a ) @ V1b )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V9t: $i] :
% 5.66/5.90 ( ap @ c_2Ebool_2E_7E
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ c_2EPast__Temporal__Logic_2EPSWHEN
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V10t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V1b @ V10t ) ) ) )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V11t: $i] : ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ V0a @ V11t ) ) @ ( ap @ V1b @ V11t ) ) ) )
% 5.66/5.90 @ V9t ) ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPWHEN @ V0a ) @ V1b )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V12t: $i] :
% 5.66/5.90 ( ap @ c_2Ebool_2E_7E
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ c_2EPast__Temporal__Logic_2EPSWHEN
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V13t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V13t ) ) ) )
% 5.66/5.90 @ V1b )
% 5.66/5.90 @ V12t ) ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPBEFORE @ V0a ) @ V1b )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V14t: $i] :
% 5.66/5.90 ( ap @ c_2Ebool_2E_7E
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSWHEN @ V1b )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V15t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V0a @ V15t ) ) @ ( ap @ V1b @ V15t ) ) ) )
% 5.66/5.90 @ V14t ) ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSBEFORE @ V0a ) @ V1b )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V16t: $i] :
% 5.66/5.90 ( ap
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ c_2EPast__Temporal__Logic_2EPSWHEN
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V17t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V1b @ V17t ) ) ) )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V18t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V0a @ V18t ) ) @ ( ap @ V1b @ V18t ) ) ) )
% 5.66/5.90 @ V16t ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2EPast__Temporal__Logic_2EPBEFORE__EXPRESSIVE,axiom,
% 5.66/5.90 ! [V0a: $i] :
% 5.66/5.90 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.90 => ! [V1b: $i] :
% 5.66/5.90 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.90 => ( ( ( ap @ c_2EPast__Temporal__Logic_2EPALWAYS @ V0a )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V2t: $i] :
% 5.66/5.90 ( ap
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ c_2EPast__Temporal__Logic_2EPBEFORE
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V3t: $i] : c_2Ebool_2EF ) )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V4t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V4t ) ) ) )
% 5.66/5.90 @ V2t ) ) )
% 5.66/5.90 & ( ( ap @ c_2EPast__Temporal__Logic_2EPEVENTUAL @ V0a )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V5t: $i] :
% 5.66/5.90 ( ap @ c_2Ebool_2E_7E
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ c_2EPast__Temporal__Logic_2EPBEFORE
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V6t: $i] : c_2Ebool_2EF ) )
% 5.66/5.90 @ V0a )
% 5.66/5.90 @ V5t ) ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSUNTIL @ V0a ) @ V1b )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V7t: $i] :
% 5.66/5.90 ( ap @ c_2Ebool_2E_7E
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ c_2EPast__Temporal__Logic_2EPBEFORE
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V8t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V8t ) ) ) )
% 5.66/5.90 @ V1b )
% 5.66/5.90 @ V7t ) ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPUNTIL @ V0a ) @ V1b )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V9t: $i] :
% 5.66/5.90 ( ap
% 5.66/5.90 @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPBEFORE @ V1b )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V10t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V10t ) ) ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V1b @ V10t ) ) ) ) )
% 5.66/5.90 @ V9t ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSWHEN @ V0a ) @ V1b )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V11t: $i] :
% 5.66/5.90 ( ap @ c_2Ebool_2E_7E
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPBEFORE @ V1b )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V12t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V12t ) ) @ ( ap @ V1b @ V12t ) ) ) )
% 5.66/5.90 @ V11t ) ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPWHEN @ V0a ) @ V1b )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V13t: $i] :
% 5.66/5.90 ( ap
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ c_2EPast__Temporal__Logic_2EPBEFORE
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V14t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V14t ) ) @ ( ap @ V1b @ V14t ) ) ) )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V15t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V15t ) ) ) @ ( ap @ V1b @ V15t ) ) ) )
% 5.66/5.90 @ V13t ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSBEFORE @ V0a ) @ V1b )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V16t: $i] :
% 5.66/5.90 ( ap @ c_2Ebool_2E_7E
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPBEFORE @ V1b )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V17t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V17t ) ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V1b @ V17t ) ) ) ) )
% 5.66/5.90 @ V16t ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2EPast__Temporal__Logic_2EPSBEFORE__EXPRESSIVE,axiom,
% 5.66/5.90 ! [V0a: $i] :
% 5.66/5.90 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.90 => ! [V1b: $i] :
% 5.66/5.90 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.90 => ( ( ( ap @ c_2EPast__Temporal__Logic_2EPALWAYS @ V0a )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V2t: $i] :
% 5.66/5.90 ( ap @ c_2Ebool_2E_7E
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ c_2EPast__Temporal__Logic_2EPSBEFORE
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V3t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V3t ) ) ) )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V4t: $i] : c_2Ebool_2EF ) )
% 5.66/5.90 @ V2t ) ) ) )
% 5.66/5.90 & ( ( ap @ c_2EPast__Temporal__Logic_2EPEVENTUAL @ V0a )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V5t: $i] :
% 5.66/5.90 ( ap
% 5.66/5.90 @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSBEFORE @ V0a )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V6t: $i] : c_2Ebool_2EF ) )
% 5.66/5.90 @ V5t ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSUNTIL @ V0a ) @ V1b )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V7t: $i] :
% 5.66/5.90 ( ap
% 5.66/5.90 @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSBEFORE @ V1b )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V8t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V8t ) ) ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V1b @ V8t ) ) ) ) )
% 5.66/5.90 @ V7t ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPUNTIL @ V0a ) @ V1b )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V9t: $i] :
% 5.66/5.90 ( ap @ c_2Ebool_2E_7E
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ c_2EPast__Temporal__Logic_2EPSBEFORE
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V10t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V10t ) ) ) )
% 5.66/5.90 @ V1b )
% 5.66/5.90 @ V9t ) ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSWHEN @ V0a ) @ V1b )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V11t: $i] :
% 5.66/5.90 ( ap
% 5.66/5.90 @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSBEFORE @ V1b )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V12t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V12t ) ) ) @ ( ap @ V1b @ V12t ) ) ) )
% 5.66/5.90 @ V11t ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPWHEN @ V0a ) @ V1b )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V13t: $i] :
% 5.66/5.90 ( ap @ c_2Ebool_2E_7E
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSBEFORE @ V1b )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V14t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V14t ) ) @ ( ap @ V1b @ V14t ) ) ) )
% 5.66/5.90 @ V13t ) ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPBEFORE @ V0a ) @ V1b )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V15t: $i] :
% 5.66/5.90 ( ap @ c_2Ebool_2E_7E
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSBEFORE @ V1b )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V16t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V16t ) ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V1b @ V16t ) ) ) ) )
% 5.66/5.90 @ V15t ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2EPast__Temporal__Logic_2ENEGATION__NORMAL__FORM,axiom,
% 5.66/5.90 ! [V0a: $i] :
% 5.66/5.90 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.90 => ! [V1t: tp__ty_2Enum_2Enum,V2b: $i] :
% 5.66/5.90 ( ( mem @ V2b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.90 => ( ( ~ ( p @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V0a ) @ ( inj__ty_2Enum_2Enum @ V1t ) ) )
% 5.66/5.90 <=> ( p
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ c_2ETemporal__Logic_2ENEXT
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V3t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V3t ) ) ) )
% 5.66/5.90 @ ( inj__ty_2Enum_2Enum @ V1t ) ) ) )
% 5.66/5.90 & ( ~ ( p @ ( ap @ ( ap @ c_2ETemporal__Logic_2EALWAYS @ V0a ) @ ( inj__ty_2Enum_2Enum @ V1t ) ) )
% 5.66/5.90 <=> ( p
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ c_2ETemporal__Logic_2EEVENTUAL
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V4t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V4t ) ) ) )
% 5.66/5.90 @ ( inj__ty_2Enum_2Enum @ V1t ) ) ) )
% 5.66/5.90 & ( ~ ( p @ ( ap @ ( ap @ c_2ETemporal__Logic_2EEVENTUAL @ V0a ) @ ( inj__ty_2Enum_2Enum @ V1t ) ) )
% 5.66/5.90 <=> ( p
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ c_2ETemporal__Logic_2EALWAYS
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V5t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V5t ) ) ) )
% 5.66/5.90 @ ( inj__ty_2Enum_2Enum @ V1t ) ) ) )
% 5.66/5.90 & ( ~ ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2EWHEN @ V0a ) @ V2b ) @ ( inj__ty_2Enum_2Enum @ V1t ) ) )
% 5.66/5.90 <=> ( p
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ c_2ETemporal__Logic_2ESWHEN
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V6t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V6t ) ) ) )
% 5.66/5.90 @ V2b )
% 5.66/5.90 @ ( inj__ty_2Enum_2Enum @ V1t ) ) ) )
% 5.66/5.90 & ( ~ ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2EUNTIL @ V0a ) @ V2b ) @ ( inj__ty_2Enum_2Enum @ V1t ) ) )
% 5.66/5.90 <=> ( p
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ c_2ETemporal__Logic_2ESBEFORE
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V7t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V7t ) ) ) )
% 5.66/5.90 @ V2b )
% 5.66/5.90 @ ( inj__ty_2Enum_2Enum @ V1t ) ) ) )
% 5.66/5.90 & ( ~ ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2EBEFORE @ V0a ) @ V2b ) @ ( inj__ty_2Enum_2Enum @ V1t ) ) )
% 5.66/5.90 <=> ( p
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ c_2ETemporal__Logic_2ESUNTIL
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V8t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V8t ) ) ) )
% 5.66/5.90 @ V2b )
% 5.66/5.90 @ ( inj__ty_2Enum_2Enum @ V1t ) ) ) )
% 5.66/5.90 & ( ~ ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESWHEN @ V0a ) @ V2b ) @ ( inj__ty_2Enum_2Enum @ V1t ) ) )
% 5.66/5.90 <=> ( p
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ c_2ETemporal__Logic_2EWHEN
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V9t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V9t ) ) ) )
% 5.66/5.90 @ V2b )
% 5.66/5.90 @ ( inj__ty_2Enum_2Enum @ V1t ) ) ) )
% 5.66/5.90 & ( ~ ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESUNTIL @ V0a ) @ V2b ) @ ( inj__ty_2Enum_2Enum @ V1t ) ) )
% 5.66/5.90 <=> ( p
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ c_2ETemporal__Logic_2EBEFORE
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V10t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V10t ) ) ) )
% 5.66/5.90 @ V2b )
% 5.66/5.90 @ ( inj__ty_2Enum_2Enum @ V1t ) ) ) )
% 5.66/5.90 & ( ~ ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESBEFORE @ V0a ) @ V2b ) @ ( inj__ty_2Enum_2Enum @ V1t ) ) )
% 5.66/5.90 <=> ( p
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ c_2ETemporal__Logic_2EUNTIL
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V11t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V11t ) ) ) )
% 5.66/5.90 @ V2b )
% 5.66/5.90 @ ( inj__ty_2Enum_2Enum @ V1t ) ) ) )
% 5.66/5.90 & ( ~ ( p @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ V0a ) @ ( inj__ty_2Enum_2Enum @ V1t ) ) )
% 5.66/5.90 <=> ( p
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ c_2EPast__Temporal__Logic_2EPSNEXT
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V12t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V12t ) ) ) )
% 5.66/5.90 @ ( inj__ty_2Enum_2Enum @ V1t ) ) ) )
% 5.66/5.90 & ( ~ ( p @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSNEXT @ V0a ) @ ( inj__ty_2Enum_2Enum @ V1t ) ) )
% 5.66/5.90 <=> ( p
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ c_2EPast__Temporal__Logic_2EPNEXT
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V13t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V13t ) ) ) )
% 5.66/5.90 @ ( inj__ty_2Enum_2Enum @ V1t ) ) ) )
% 5.66/5.90 & ( ~ ( p @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPALWAYS @ V0a ) @ ( inj__ty_2Enum_2Enum @ V1t ) ) )
% 5.66/5.90 <=> ( p
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ c_2EPast__Temporal__Logic_2EPEVENTUAL
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V14t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V14t ) ) ) )
% 5.66/5.90 @ ( inj__ty_2Enum_2Enum @ V1t ) ) ) )
% 5.66/5.90 & ( ~ ( p @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPEVENTUAL @ V0a ) @ ( inj__ty_2Enum_2Enum @ V1t ) ) )
% 5.66/5.90 <=> ( p
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ c_2EPast__Temporal__Logic_2EPALWAYS
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V15t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V15t ) ) ) )
% 5.66/5.90 @ ( inj__ty_2Enum_2Enum @ V1t ) ) ) )
% 5.66/5.90 & ( ~ ( p @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPWHEN @ V0a ) @ V2b ) @ ( inj__ty_2Enum_2Enum @ V1t ) ) )
% 5.66/5.90 <=> ( p
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ c_2EPast__Temporal__Logic_2EPSWHEN
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V16t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V16t ) ) ) )
% 5.66/5.90 @ V2b )
% 5.66/5.90 @ ( inj__ty_2Enum_2Enum @ V1t ) ) ) )
% 5.66/5.90 & ( ~ ( p @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPUNTIL @ V0a ) @ V2b ) @ ( inj__ty_2Enum_2Enum @ V1t ) ) )
% 5.66/5.90 <=> ( p
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ c_2EPast__Temporal__Logic_2EPSBEFORE
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V17t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V17t ) ) ) )
% 5.66/5.90 @ V2b )
% 5.66/5.90 @ ( inj__ty_2Enum_2Enum @ V1t ) ) ) )
% 5.66/5.90 & ( ~ ( p @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPBEFORE @ V0a ) @ V2b ) @ ( inj__ty_2Enum_2Enum @ V1t ) ) )
% 5.66/5.90 <=> ( p
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ c_2EPast__Temporal__Logic_2EPSUNTIL
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V18t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V18t ) ) ) )
% 5.66/5.90 @ V2b )
% 5.66/5.90 @ ( inj__ty_2Enum_2Enum @ V1t ) ) ) )
% 5.66/5.90 & ( ~ ( p @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSWHEN @ V0a ) @ V2b ) @ ( inj__ty_2Enum_2Enum @ V1t ) ) )
% 5.66/5.90 <=> ( p
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ c_2EPast__Temporal__Logic_2EPWHEN
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V19t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V19t ) ) ) )
% 5.66/5.90 @ V2b )
% 5.66/5.90 @ ( inj__ty_2Enum_2Enum @ V1t ) ) ) )
% 5.66/5.90 & ( ~ ( p @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSUNTIL @ V0a ) @ V2b ) @ ( inj__ty_2Enum_2Enum @ V1t ) ) )
% 5.66/5.90 <=> ( p
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ c_2EPast__Temporal__Logic_2EPBEFORE
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V20t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V20t ) ) ) )
% 5.66/5.90 @ V2b )
% 5.66/5.90 @ ( inj__ty_2Enum_2Enum @ V1t ) ) ) )
% 5.66/5.90 & ( ~ ( p @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSBEFORE @ V0a ) @ V2b ) @ ( inj__ty_2Enum_2Enum @ V1t ) ) )
% 5.66/5.90 <=> ( p
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ c_2EPast__Temporal__Logic_2EPUNTIL
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V21t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V21t ) ) ) )
% 5.66/5.90 @ V2b )
% 5.66/5.90 @ ( inj__ty_2Enum_2Enum @ V1t ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2EPast__Temporal__Logic_2ECONJUNCTIVE__NORMAL__FORM,axiom,
% 5.66/5.90 ! [V0a: $i] :
% 5.66/5.90 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.90 => ! [V1b: $i] :
% 5.66/5.90 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.90 => ! [V2c: $i] :
% 5.66/5.90 ( ( mem @ V2c @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.90 => ( ( ( ap @ c_2ETemporal__Logic_2ENEXT
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V3t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V3t ) ) @ ( ap @ V1b @ V3t ) ) ) )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V4t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V0a ) @ V4t ) ) @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V1b ) @ V4t ) ) ) )
% 5.66/5.90 & ( ( ap @ c_2ETemporal__Logic_2EALWAYS
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V5t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V5t ) ) @ ( ap @ V1b @ V5t ) ) ) )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V6t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ c_2ETemporal__Logic_2EALWAYS @ V0a ) @ V6t ) ) @ ( ap @ ( ap @ c_2ETemporal__Logic_2EALWAYS @ V1b ) @ V6t ) ) ) )
% 5.66/5.90 & ( ( ap
% 5.66/5.90 @ ( ap @ c_2ETemporal__Logic_2EWHEN
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V7t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V7t ) ) @ ( ap @ V1b @ V7t ) ) ) )
% 5.66/5.90 @ V2c )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V8t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2EWHEN @ V0a ) @ V2c ) @ V8t ) ) @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2EWHEN @ V1b ) @ V2c ) @ V8t ) ) ) )
% 5.66/5.90 & ( ( ap
% 5.66/5.90 @ ( ap @ c_2ETemporal__Logic_2ESWHEN
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V9t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V9t ) ) @ ( ap @ V1b @ V9t ) ) ) )
% 5.66/5.90 @ V2c )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V10t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESWHEN @ V0a ) @ V2c ) @ V10t ) ) @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESWHEN @ V1b ) @ V2c ) @ V10t ) ) ) )
% 5.66/5.90 & ( ( ap
% 5.66/5.90 @ ( ap @ c_2ETemporal__Logic_2EUNTIL
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V11t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V11t ) ) @ ( ap @ V1b @ V11t ) ) ) )
% 5.66/5.90 @ V2c )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V12t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2EUNTIL @ V0a ) @ V2c ) @ V12t ) ) @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2EUNTIL @ V1b ) @ V2c ) @ V12t ) ) ) )
% 5.66/5.90 & ( ( ap
% 5.66/5.90 @ ( ap @ c_2ETemporal__Logic_2ESUNTIL
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V13t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V13t ) ) @ ( ap @ V1b @ V13t ) ) ) )
% 5.66/5.90 @ V2c )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V14t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESUNTIL @ V0a ) @ V2c ) @ V14t ) ) @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESUNTIL @ V1b ) @ V2c ) @ V14t ) ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2EBEFORE @ V2c )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V15t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V0a @ V15t ) ) @ ( ap @ V1b @ V15t ) ) ) )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V16t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2EBEFORE @ V2c ) @ V0a ) @ V16t ) ) @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2EBEFORE @ V2c ) @ V1b ) @ V16t ) ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2ESBEFORE @ V2c )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V17t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V0a @ V17t ) ) @ ( ap @ V1b @ V17t ) ) ) )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V18t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESBEFORE @ V2c ) @ V0a ) @ V18t ) ) @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESBEFORE @ V2c ) @ V1b ) @ V18t ) ) ) )
% 5.66/5.90 & ( ( ap @ c_2EPast__Temporal__Logic_2EPNEXT
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V19t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V19t ) ) @ ( ap @ V1b @ V19t ) ) ) )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V20t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ V0a ) @ V20t ) ) @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ V1b ) @ V20t ) ) ) )
% 5.66/5.90 & ( ( ap @ c_2EPast__Temporal__Logic_2EPSNEXT
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V21t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V21t ) ) @ ( ap @ V1b @ V21t ) ) ) )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V22t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSNEXT @ V0a ) @ V22t ) ) @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSNEXT @ V1b ) @ V22t ) ) ) )
% 5.66/5.90 & ( ( ap @ c_2EPast__Temporal__Logic_2EPALWAYS
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V23t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V23t ) ) @ ( ap @ V1b @ V23t ) ) ) )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V24t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPALWAYS @ V0a ) @ V24t ) ) @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPALWAYS @ V1b ) @ V24t ) ) ) )
% 5.66/5.90 & ( ( ap
% 5.66/5.90 @ ( ap @ c_2EPast__Temporal__Logic_2EPWHEN
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V25t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V25t ) ) @ ( ap @ V1b @ V25t ) ) ) )
% 5.66/5.90 @ V2c )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V26t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPWHEN @ V0a ) @ V2c ) @ V26t ) ) @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPWHEN @ V1b ) @ V2c ) @ V26t ) ) ) )
% 5.66/5.90 & ( ( ap
% 5.66/5.90 @ ( ap @ c_2EPast__Temporal__Logic_2EPSWHEN
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V27t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V27t ) ) @ ( ap @ V1b @ V27t ) ) ) )
% 5.66/5.90 @ V2c )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V28t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSWHEN @ V0a ) @ V2c ) @ V28t ) ) @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSWHEN @ V1b ) @ V2c ) @ V28t ) ) ) )
% 5.66/5.90 & ( ( ap
% 5.66/5.90 @ ( ap @ c_2EPast__Temporal__Logic_2EPUNTIL
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V29t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V29t ) ) @ ( ap @ V1b @ V29t ) ) ) )
% 5.66/5.90 @ V2c )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V30t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPUNTIL @ V0a ) @ V2c ) @ V30t ) ) @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPUNTIL @ V1b ) @ V2c ) @ V30t ) ) ) )
% 5.66/5.90 & ( ( ap
% 5.66/5.90 @ ( ap @ c_2EPast__Temporal__Logic_2EPSUNTIL
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V31t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V31t ) ) @ ( ap @ V1b @ V31t ) ) ) )
% 5.66/5.90 @ V2c )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V32t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSUNTIL @ V0a ) @ V2c ) @ V32t ) ) @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSUNTIL @ V1b ) @ V2c ) @ V32t ) ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPBEFORE @ V2c )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V33t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V0a @ V33t ) ) @ ( ap @ V1b @ V33t ) ) ) )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V34t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPBEFORE @ V2c ) @ V0a ) @ V34t ) ) @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPBEFORE @ V2c ) @ V1b ) @ V34t ) ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSBEFORE @ V2c )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V35t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V0a @ V35t ) ) @ ( ap @ V1b @ V35t ) ) ) )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V36t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSBEFORE @ V2c ) @ V0a ) @ V36t ) ) @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSBEFORE @ V2c ) @ V1b ) @ V36t ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2EPast__Temporal__Logic_2EDISJUNCTIVE__NORMAL__FORM,axiom,
% 5.66/5.90 ! [V0a: $i] :
% 5.66/5.90 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.90 => ! [V1b: $i] :
% 5.66/5.90 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.90 => ! [V2c: $i] :
% 5.66/5.90 ( ( mem @ V2c @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.90 => ( ( ( ap @ c_2ETemporal__Logic_2ENEXT
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V3t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V0a @ V3t ) ) @ ( ap @ V1b @ V3t ) ) ) )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V4t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V0a ) @ V4t ) ) @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V1b ) @ V4t ) ) ) )
% 5.66/5.90 & ( ( ap @ c_2ETemporal__Logic_2EEVENTUAL
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V5t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V0a @ V5t ) ) @ ( ap @ V1b @ V5t ) ) ) )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V6t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ ( ap @ c_2ETemporal__Logic_2EEVENTUAL @ V0a ) @ V6t ) ) @ ( ap @ ( ap @ c_2ETemporal__Logic_2EEVENTUAL @ V1b ) @ V6t ) ) ) )
% 5.66/5.90 & ( ( ap
% 5.66/5.90 @ ( ap @ c_2ETemporal__Logic_2EWHEN
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V7t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V0a @ V7t ) ) @ ( ap @ V1b @ V7t ) ) ) )
% 5.66/5.90 @ V2c )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V8t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2EWHEN @ V0a ) @ V2c ) @ V8t ) ) @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2EWHEN @ V1b ) @ V2c ) @ V8t ) ) ) )
% 5.66/5.90 & ( ( ap
% 5.66/5.90 @ ( ap @ c_2ETemporal__Logic_2ESWHEN
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V9t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V0a @ V9t ) ) @ ( ap @ V1b @ V9t ) ) ) )
% 5.66/5.90 @ V2c )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V10t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESWHEN @ V0a ) @ V2c ) @ V10t ) ) @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESWHEN @ V1b ) @ V2c ) @ V10t ) ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2EUNTIL @ V0a )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V11t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V1b @ V11t ) ) @ ( ap @ V2c @ V11t ) ) ) )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V12t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2EUNTIL @ V0a ) @ V1b ) @ V12t ) ) @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2EUNTIL @ V0a ) @ V2c ) @ V12t ) ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2ESUNTIL @ V0a )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V13t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V1b @ V13t ) ) @ ( ap @ V2c @ V13t ) ) ) )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V14t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESUNTIL @ V0a ) @ V1b ) @ V14t ) ) @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESUNTIL @ V0a ) @ V2c ) @ V14t ) ) ) )
% 5.66/5.90 & ( ( ap
% 5.66/5.90 @ ( ap @ c_2ETemporal__Logic_2EBEFORE
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V15t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V0a @ V15t ) ) @ ( ap @ V1b @ V15t ) ) ) )
% 5.66/5.90 @ V2c )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V16t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2EBEFORE @ V0a ) @ V2c ) @ V16t ) ) @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2EBEFORE @ V1b ) @ V2c ) @ V16t ) ) ) )
% 5.66/5.90 & ( ( ap
% 5.66/5.90 @ ( ap @ c_2ETemporal__Logic_2ESBEFORE
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V17t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V0a @ V17t ) ) @ ( ap @ V1b @ V17t ) ) ) )
% 5.66/5.90 @ V2c )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V18t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESBEFORE @ V0a ) @ V2c ) @ V18t ) ) @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESBEFORE @ V1b ) @ V2c ) @ V18t ) ) ) )
% 5.66/5.90 & ( ( ap @ c_2EPast__Temporal__Logic_2EPNEXT
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V19t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V0a @ V19t ) ) @ ( ap @ V1b @ V19t ) ) ) )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V20t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ V0a ) @ V20t ) ) @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ V1b ) @ V20t ) ) ) )
% 5.66/5.90 & ( ( ap @ c_2EPast__Temporal__Logic_2EPEVENTUAL
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V21t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V0a @ V21t ) ) @ ( ap @ V1b @ V21t ) ) ) )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V22t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPEVENTUAL @ V0a ) @ V22t ) ) @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPEVENTUAL @ V1b ) @ V22t ) ) ) )
% 5.66/5.90 & ( ( ap
% 5.66/5.90 @ ( ap @ c_2EPast__Temporal__Logic_2EPWHEN
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V23t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V0a @ V23t ) ) @ ( ap @ V1b @ V23t ) ) ) )
% 5.66/5.90 @ V2c )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V24t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPWHEN @ V0a ) @ V2c ) @ V24t ) ) @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPWHEN @ V1b ) @ V2c ) @ V24t ) ) ) )
% 5.66/5.90 & ( ( ap
% 5.66/5.90 @ ( ap @ c_2EPast__Temporal__Logic_2EPSWHEN
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V25t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V0a @ V25t ) ) @ ( ap @ V1b @ V25t ) ) ) )
% 5.66/5.90 @ V2c )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V26t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSWHEN @ V0a ) @ V2c ) @ V26t ) ) @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSWHEN @ V1b ) @ V2c ) @ V26t ) ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPUNTIL @ V0a )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V27t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V1b @ V27t ) ) @ ( ap @ V2c @ V27t ) ) ) )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V28t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPUNTIL @ V0a ) @ V1b ) @ V28t ) ) @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPUNTIL @ V0a ) @ V2c ) @ V28t ) ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSUNTIL @ V0a )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V29t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V1b @ V29t ) ) @ ( ap @ V2c @ V29t ) ) ) )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V30t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSUNTIL @ V0a ) @ V1b ) @ V30t ) ) @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSUNTIL @ V0a ) @ V2c ) @ V30t ) ) ) )
% 5.66/5.90 & ( ( ap
% 5.66/5.90 @ ( ap @ c_2EPast__Temporal__Logic_2EPBEFORE
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V31t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V0a @ V31t ) ) @ ( ap @ V1b @ V31t ) ) ) )
% 5.66/5.90 @ V2c )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V32t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPBEFORE @ V0a ) @ V2c ) @ V32t ) ) @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPBEFORE @ V1b ) @ V2c ) @ V32t ) ) ) )
% 5.66/5.90 & ( ( ap
% 5.66/5.90 @ ( ap @ c_2EPast__Temporal__Logic_2EPSBEFORE
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V33t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V0a @ V33t ) ) @ ( ap @ V1b @ V33t ) ) ) )
% 5.66/5.90 @ V2c )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V34t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSBEFORE @ V0a ) @ V2c ) @ V34t ) ) @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSBEFORE @ V1b ) @ V2c ) @ V34t ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2EPast__Temporal__Logic_2EPRENEX__NEXT__NORMAL__FORM,axiom,
% 5.66/5.90 ! [V0a: $i] :
% 5.66/5.90 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.90 => ! [V1t: tp__ty_2Enum_2Enum,V2b: $i] :
% 5.66/5.90 ( ( mem @ V2b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.90 => ( ( ~ ( p @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V0a ) @ ( inj__ty_2Enum_2Enum @ V1t ) ) )
% 5.66/5.90 <=> ( p
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ c_2ETemporal__Logic_2ENEXT
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V3t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V3t ) ) ) )
% 5.66/5.90 @ ( inj__ty_2Enum_2Enum @ V1t ) ) ) )
% 5.66/5.90 & ( ( ( p @ ( ap @ V0a @ ( inj__ty_2Enum_2Enum @ V1t ) ) )
% 5.66/5.90 & ( p @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V2b ) @ ( inj__ty_2Enum_2Enum @ V1t ) ) ) )
% 5.66/5.90 <=> ( p
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ c_2ETemporal__Logic_2ENEXT
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V4t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ V0a ) @ V4t ) ) @ ( ap @ V2b @ V4t ) ) ) )
% 5.66/5.90 @ ( inj__ty_2Enum_2Enum @ V1t ) ) ) )
% 5.66/5.90 & ( ( ( p @ ( ap @ V0a @ ( inj__ty_2Enum_2Enum @ V1t ) ) )
% 5.66/5.90 | ( p @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V2b ) @ ( inj__ty_2Enum_2Enum @ V1t ) ) ) )
% 5.66/5.90 <=> ( p
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ c_2ETemporal__Logic_2ENEXT
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V5t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ V0a ) @ V5t ) ) @ ( ap @ V2b @ V5t ) ) ) )
% 5.66/5.90 @ ( inj__ty_2Enum_2Enum @ V1t ) ) ) )
% 5.66/5.90 & ( ( ap @ c_2ETemporal__Logic_2EALWAYS @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V0a ) )
% 5.66/5.90 = ( ap @ c_2ETemporal__Logic_2ENEXT @ ( ap @ c_2ETemporal__Logic_2EALWAYS @ V0a ) ) )
% 5.66/5.90 & ( ( ap @ c_2ETemporal__Logic_2EEVENTUAL @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V0a ) )
% 5.66/5.90 = ( ap @ c_2ETemporal__Logic_2ENEXT @ ( ap @ c_2ETemporal__Logic_2EEVENTUAL @ V0a ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2ESUNTIL @ V0a ) @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V2b ) )
% 5.66/5.90 = ( ap @ c_2ETemporal__Logic_2ENEXT @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESUNTIL @ ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ V0a ) ) @ V2b ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2ESWHEN @ V0a ) @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V2b ) )
% 5.66/5.90 = ( ap @ c_2ETemporal__Logic_2ENEXT @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESWHEN @ ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ V0a ) ) @ V2b ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2ESBEFORE @ V0a ) @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V2b ) )
% 5.66/5.90 = ( ap @ c_2ETemporal__Logic_2ENEXT @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESBEFORE @ ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ V0a ) ) @ V2b ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2EUNTIL @ V0a ) @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V2b ) )
% 5.66/5.90 = ( ap @ c_2ETemporal__Logic_2ENEXT @ ( ap @ ( ap @ c_2ETemporal__Logic_2EUNTIL @ ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ V0a ) ) @ V2b ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2EWHEN @ V0a ) @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V2b ) )
% 5.66/5.90 = ( ap @ c_2ETemporal__Logic_2ENEXT @ ( ap @ ( ap @ c_2ETemporal__Logic_2EWHEN @ ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ V0a ) ) @ V2b ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2EBEFORE @ V0a ) @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V2b ) )
% 5.66/5.90 = ( ap @ c_2ETemporal__Logic_2ENEXT @ ( ap @ ( ap @ c_2ETemporal__Logic_2EBEFORE @ ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ V0a ) ) @ V2b ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2ESUNTIL @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V0a ) ) @ V2b )
% 5.66/5.90 = ( ap @ c_2ETemporal__Logic_2ENEXT @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESUNTIL @ V0a ) @ ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ V2b ) ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2ESWHEN @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V0a ) ) @ V2b )
% 5.66/5.90 = ( ap @ c_2ETemporal__Logic_2ENEXT @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESWHEN @ V0a ) @ ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ V2b ) ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2ESBEFORE @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V0a ) ) @ V2b )
% 5.66/5.90 = ( ap @ c_2ETemporal__Logic_2ENEXT @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESBEFORE @ V0a ) @ ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ V2b ) ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2EUNTIL @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V0a ) ) @ V2b )
% 5.66/5.90 = ( ap @ c_2ETemporal__Logic_2ENEXT @ ( ap @ ( ap @ c_2ETemporal__Logic_2EUNTIL @ V0a ) @ ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ V2b ) ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2EWHEN @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V0a ) ) @ V2b )
% 5.66/5.90 = ( ap @ c_2ETemporal__Logic_2ENEXT @ ( ap @ ( ap @ c_2ETemporal__Logic_2EWHEN @ V0a ) @ ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ V2b ) ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2EBEFORE @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V0a ) ) @ V2b )
% 5.66/5.90 = ( ap @ c_2ETemporal__Logic_2ENEXT @ ( ap @ ( ap @ c_2ETemporal__Logic_2EBEFORE @ V0a ) @ ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ V2b ) ) ) )
% 5.66/5.90 & ( ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V0a ) )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V6t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ c_2EPast__Temporal__Logic_2EInitPoint @ V6t ) ) @ ( ap @ V0a @ V6t ) ) ) )
% 5.66/5.90 & ( ( ap @ c_2EPast__Temporal__Logic_2EPSNEXT @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V0a ) )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V7t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ c_2Ebool_2E_7E @ ( ap @ c_2EPast__Temporal__Logic_2EInitPoint @ V7t ) ) ) @ ( ap @ V0a @ V7t ) ) ) )
% 5.66/5.90 & ( ( ap @ c_2EPast__Temporal__Logic_2EPALWAYS @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V0a ) )
% 5.66/5.90 = ( ap @ c_2ETemporal__Logic_2ENEXT
% 5.66/5.90 @ ( ap @ c_2EPast__Temporal__Logic_2EPALWAYS
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V8t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ c_2EPast__Temporal__Logic_2EInitPoint @ V8t ) ) @ ( ap @ V0a @ V8t ) ) ) ) ) )
% 5.66/5.90 & ( ( ap @ c_2EPast__Temporal__Logic_2EPEVENTUAL @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V0a ) )
% 5.66/5.90 = ( ap @ c_2ETemporal__Logic_2ENEXT
% 5.66/5.90 @ ( ap @ c_2EPast__Temporal__Logic_2EPEVENTUAL
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V9t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ c_2Ebool_2E_7E @ ( ap @ c_2EPast__Temporal__Logic_2EInitPoint @ V9t ) ) ) @ ( ap @ V0a @ V9t ) ) ) ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSUNTIL @ V0a ) @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V2b ) )
% 5.66/5.90 = ( ap @ c_2ETemporal__Logic_2ENEXT
% 5.66/5.90 @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSUNTIL @ ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ V0a ) )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V10t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ c_2Ebool_2E_7E @ ( ap @ c_2EPast__Temporal__Logic_2EInitPoint @ V10t ) ) ) @ ( ap @ V2b @ V10t ) ) ) ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSWHEN @ V0a ) @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V2b ) )
% 5.66/5.90 = ( ap @ c_2ETemporal__Logic_2ENEXT
% 5.66/5.90 @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSWHEN @ ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ V0a ) )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V11t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ c_2Ebool_2E_7E @ ( ap @ c_2EPast__Temporal__Logic_2EInitPoint @ V11t ) ) ) @ ( ap @ V2b @ V11t ) ) ) ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSBEFORE @ V0a ) @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V2b ) )
% 5.66/5.90 = ( ap @ c_2ETemporal__Logic_2ENEXT @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSBEFORE @ ( ap @ c_2EPast__Temporal__Logic_2EPSNEXT @ V0a ) ) @ V2b ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPUNTIL @ V0a ) @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V2b ) )
% 5.66/5.90 = ( ap @ c_2ETemporal__Logic_2ENEXT @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPUNTIL @ ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ V0a ) ) @ V2b ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPWHEN @ V0a ) @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V2b ) )
% 5.66/5.90 = ( ap @ c_2ETemporal__Logic_2ENEXT
% 5.66/5.90 @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPWHEN @ ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ V0a ) )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V12t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ c_2Ebool_2E_7E @ ( ap @ c_2EPast__Temporal__Logic_2EInitPoint @ V12t ) ) ) @ ( ap @ V2b @ V12t ) ) ) ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPBEFORE @ V0a ) @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V2b ) )
% 5.66/5.90 = ( ap @ c_2ETemporal__Logic_2ENEXT
% 5.66/5.90 @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPBEFORE @ ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ V0a ) )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V13t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ c_2Ebool_2E_7E @ ( ap @ c_2EPast__Temporal__Logic_2EInitPoint @ V13t ) ) ) @ ( ap @ V2b @ V13t ) ) ) ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSUNTIL @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V0a ) ) @ V2b )
% 5.66/5.90 = ( ap @ c_2ETemporal__Logic_2ENEXT @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSUNTIL @ V0a ) @ ( ap @ c_2EPast__Temporal__Logic_2EPSNEXT @ V2b ) ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSWHEN @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V0a ) ) @ V2b )
% 5.66/5.90 = ( ap @ c_2ETemporal__Logic_2ENEXT @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSWHEN @ V0a ) @ ( ap @ c_2EPast__Temporal__Logic_2EPSNEXT @ V2b ) ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSBEFORE @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V0a ) ) @ V2b )
% 5.66/5.90 = ( ap @ c_2ETemporal__Logic_2ENEXT
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ c_2EPast__Temporal__Logic_2EPSBEFORE
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V14t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ c_2Ebool_2E_7E @ ( ap @ c_2EPast__Temporal__Logic_2EInitPoint @ V14t ) ) ) @ ( ap @ V0a @ V14t ) ) ) )
% 5.66/5.90 @ ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ V2b ) ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPUNTIL @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V0a ) ) @ V2b )
% 5.66/5.90 = ( ap @ c_2ETemporal__Logic_2ENEXT
% 5.66/5.90 @ ( ap
% 5.66/5.90 @ ( ap @ c_2EPast__Temporal__Logic_2EPUNTIL
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V15t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ c_2EPast__Temporal__Logic_2EInitPoint @ V15t ) ) @ ( ap @ V0a @ V15t ) ) ) )
% 5.66/5.90 @ ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ V2b ) ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPWHEN @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V0a ) ) @ V2b )
% 5.66/5.90 = ( ap @ c_2ETemporal__Logic_2ENEXT @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPWHEN @ V0a ) @ ( ap @ c_2EPast__Temporal__Logic_2EPSNEXT @ V2b ) ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPBEFORE @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V0a ) ) @ V2b )
% 5.66/5.90 = ( ap @ c_2ETemporal__Logic_2ENEXT @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPBEFORE @ V0a ) @ ( ap @ c_2EPast__Temporal__Logic_2EPSNEXT @ V2b ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2EPast__Temporal__Logic_2ENEXT__INWARDS__NORMAL__FORM,axiom,
% 5.66/5.90 ! [V0a: $i] :
% 5.66/5.90 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.90 => ! [V1b: $i] :
% 5.66/5.90 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.90 => ( ( ( ap @ c_2ETemporal__Logic_2ENEXT
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V2t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V2t ) ) ) )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V3t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V0a ) @ V3t ) ) ) )
% 5.66/5.90 & ( ( ap @ c_2ETemporal__Logic_2ENEXT
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V4t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V4t ) ) @ ( ap @ V1b @ V4t ) ) ) )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V5t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V0a ) @ V5t ) ) @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V1b ) @ V5t ) ) ) )
% 5.66/5.90 & ( ( ap @ c_2ETemporal__Logic_2ENEXT
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V6t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V0a @ V6t ) ) @ ( ap @ V1b @ V6t ) ) ) )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V7t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V0a ) @ V7t ) ) @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V1b ) @ V7t ) ) ) )
% 5.66/5.90 & ( ( ap @ c_2ETemporal__Logic_2ENEXT @ ( ap @ c_2ETemporal__Logic_2EALWAYS @ V0a ) )
% 5.66/5.90 = ( ap @ c_2ETemporal__Logic_2EALWAYS @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V0a ) ) )
% 5.66/5.90 & ( ( ap @ c_2ETemporal__Logic_2ENEXT @ ( ap @ c_2ETemporal__Logic_2EEVENTUAL @ V0a ) )
% 5.66/5.90 = ( ap @ c_2ETemporal__Logic_2EEVENTUAL @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V0a ) ) )
% 5.66/5.90 & ( ( ap @ c_2ETemporal__Logic_2ENEXT @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESUNTIL @ V0a ) @ V1b ) )
% 5.66/5.90 = ( ap @ ( ap @ c_2ETemporal__Logic_2ESUNTIL @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V0a ) ) @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V1b ) ) )
% 5.66/5.90 & ( ( ap @ c_2ETemporal__Logic_2ENEXT @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESWHEN @ V0a ) @ V1b ) )
% 5.66/5.90 = ( ap @ ( ap @ c_2ETemporal__Logic_2ESWHEN @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V0a ) ) @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V1b ) ) )
% 5.66/5.90 & ( ( ap @ c_2ETemporal__Logic_2ENEXT @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESBEFORE @ V0a ) @ V1b ) )
% 5.66/5.90 = ( ap @ ( ap @ c_2ETemporal__Logic_2ESBEFORE @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V0a ) ) @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V1b ) ) )
% 5.66/5.90 & ( ( ap @ c_2ETemporal__Logic_2ENEXT @ ( ap @ ( ap @ c_2ETemporal__Logic_2EUNTIL @ V0a ) @ V1b ) )
% 5.66/5.90 = ( ap @ ( ap @ c_2ETemporal__Logic_2EUNTIL @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V0a ) ) @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V1b ) ) )
% 5.66/5.90 & ( ( ap @ c_2ETemporal__Logic_2ENEXT @ ( ap @ ( ap @ c_2ETemporal__Logic_2EWHEN @ V0a ) @ V1b ) )
% 5.66/5.90 = ( ap @ ( ap @ c_2ETemporal__Logic_2EWHEN @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V0a ) ) @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V1b ) ) )
% 5.66/5.90 & ( ( ap @ c_2ETemporal__Logic_2ENEXT @ ( ap @ ( ap @ c_2ETemporal__Logic_2EBEFORE @ V0a ) @ V1b ) )
% 5.66/5.90 = ( ap @ ( ap @ c_2ETemporal__Logic_2EBEFORE @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V0a ) ) @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V1b ) ) )
% 5.66/5.90 & ( ( ap @ c_2ETemporal__Logic_2ENEXT @ ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ V0a ) )
% 5.66/5.90 = V0a )
% 5.66/5.90 & ( ( ap @ c_2ETemporal__Logic_2ENEXT @ ( ap @ c_2EPast__Temporal__Logic_2EPSNEXT @ V0a ) )
% 5.66/5.90 = V0a )
% 5.66/5.90 & ( ( ap @ c_2ETemporal__Logic_2ENEXT @ ( ap @ c_2EPast__Temporal__Logic_2EPALWAYS @ V0a ) )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V8t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPALWAYS @ V0a ) @ V8t ) ) @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V0a ) @ V8t ) ) ) )
% 5.66/5.90 & ( ( ap @ c_2ETemporal__Logic_2ENEXT @ ( ap @ c_2EPast__Temporal__Logic_2EPEVENTUAL @ V0a ) )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V9t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPEVENTUAL @ V0a ) @ V9t ) ) @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V0a ) @ V9t ) ) ) )
% 5.66/5.90 & ( ( ap @ c_2ETemporal__Logic_2ENEXT @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSUNTIL @ V0a ) @ V1b ) )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V10t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V1b ) @ V10t ) ) @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V0a ) @ V10t ) ) @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSUNTIL @ V0a ) @ V1b ) @ V10t ) ) ) ) )
% 5.66/5.90 & ( ( ap @ c_2ETemporal__Logic_2ENEXT @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSWHEN @ V0a ) @ V1b ) )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V11t: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ bool ) @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V1b ) @ V11t ) ) @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V0a ) @ V11t ) ) @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSWHEN @ V0a ) @ V1b ) @ V11t ) ) ) )
% 5.66/5.90 & ( ( ap @ c_2ETemporal__Logic_2ENEXT @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSBEFORE @ V0a ) @ V1b ) )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V12t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ c_2Ebool_2E_7E @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V1b ) @ V12t ) ) ) @ ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V0a ) @ V12t ) ) @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSBEFORE @ V0a ) @ V1b ) @ V12t ) ) ) ) )
% 5.66/5.90 & ( ( ap @ c_2ETemporal__Logic_2ENEXT @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPUNTIL @ V0a ) @ V1b ) )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V13t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V1b ) @ V13t ) ) @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V0a ) @ V13t ) ) @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPUNTIL @ V0a ) @ V1b ) @ V13t ) ) ) ) )
% 5.66/5.90 & ( ( ap @ c_2ETemporal__Logic_2ENEXT @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPWHEN @ V0a ) @ V1b ) )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V14t: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ bool ) @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V1b ) @ V14t ) ) @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V0a ) @ V14t ) ) @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPWHEN @ V0a ) @ V1b ) @ V14t ) ) ) )
% 5.66/5.90 & ( ( ap @ c_2ETemporal__Logic_2ENEXT @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPBEFORE @ V0a ) @ V1b ) )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V15t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ c_2Ebool_2E_7E @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V1b ) @ V15t ) ) ) @ ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V0a ) @ V15t ) ) @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPBEFORE @ V0a ) @ V1b ) @ V15t ) ) ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2EPast__Temporal__Logic_2EPNEXT__INWARDS__NORMAL__FORM,axiom,
% 5.66/5.90 ! [V0a: $i] :
% 5.66/5.90 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.90 => ! [V1b: $i] :
% 5.66/5.90 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.90 => ( ( ( ap @ c_2EPast__Temporal__Logic_2EPNEXT
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V2t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V2t ) ) ) )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V3t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSNEXT @ V0a ) @ V3t ) ) ) )
% 5.66/5.90 & ( ( ap @ c_2EPast__Temporal__Logic_2EPNEXT
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V4t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V4t ) ) @ ( ap @ V1b @ V4t ) ) ) )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V5t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ V0a ) @ V5t ) ) @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ V1b ) @ V5t ) ) ) )
% 5.66/5.90 & ( ( ap @ c_2EPast__Temporal__Logic_2EPNEXT
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V6t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V0a @ V6t ) ) @ ( ap @ V1b @ V6t ) ) ) )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V7t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ V0a ) @ V7t ) ) @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ V1b ) @ V7t ) ) ) )
% 5.66/5.90 & ( ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V0a ) )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V8t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ c_2EPast__Temporal__Logic_2EInitPoint @ V8t ) ) @ ( ap @ V0a @ V8t ) ) ) )
% 5.66/5.90 & ( ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ ( ap @ c_2ETemporal__Logic_2EALWAYS @ V0a ) )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V9t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ c_2EPast__Temporal__Logic_2EInitPoint @ V9t ) ) @ ( ap @ ( ap @ c_2ETemporal__Logic_2EALWAYS @ ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ V0a ) ) @ V9t ) ) ) )
% 5.66/5.90 & ( ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ ( ap @ c_2ETemporal__Logic_2EEVENTUAL @ V0a ) )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V10t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ c_2EPast__Temporal__Logic_2EInitPoint @ V10t ) ) @ ( ap @ ( ap @ c_2ETemporal__Logic_2EEVENTUAL @ ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ V0a ) ) @ V10t ) ) ) )
% 5.66/5.90 & ( ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESUNTIL @ V0a ) @ V1b ) )
% 5.66/5.90 = ( ap @ ( ap @ c_2ETemporal__Logic_2ESUNTIL @ ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ V0a ) ) @ ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ V1b ) ) )
% 5.66/5.90 & ( ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESWHEN @ V0a ) @ V1b ) )
% 5.66/5.90 = ( ap @ ( ap @ c_2ETemporal__Logic_2ESWHEN @ ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ V0a ) ) @ ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ V1b ) ) )
% 5.66/5.90 & ( ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESBEFORE @ V0a ) @ V1b ) )
% 5.66/5.90 = ( ap @ ( ap @ c_2ETemporal__Logic_2ESBEFORE @ ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ V0a ) ) @ ( ap @ c_2EPast__Temporal__Logic_2EPSNEXT @ V1b ) ) )
% 5.66/5.90 & ( ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ ( ap @ ( ap @ c_2ETemporal__Logic_2EUNTIL @ V0a ) @ V1b ) )
% 5.66/5.90 = ( ap @ ( ap @ c_2ETemporal__Logic_2EUNTIL @ ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ V0a ) ) @ ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ V1b ) ) )
% 5.66/5.90 & ( ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ ( ap @ ( ap @ c_2ETemporal__Logic_2EWHEN @ V0a ) @ V1b ) )
% 5.66/5.90 = ( ap @ ( ap @ c_2ETemporal__Logic_2EWHEN @ ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ V0a ) ) @ ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ V1b ) ) )
% 5.66/5.90 & ( ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ ( ap @ ( ap @ c_2ETemporal__Logic_2EBEFORE @ V0a ) @ V1b ) )
% 5.66/5.90 = ( ap @ ( ap @ c_2ETemporal__Logic_2EBEFORE @ ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ V0a ) ) @ ( ap @ c_2EPast__Temporal__Logic_2EPSNEXT @ V1b ) ) )
% 5.66/5.90 & ( ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ ( ap @ c_2EPast__Temporal__Logic_2EPALWAYS @ V0a ) )
% 5.66/5.90 = ( ap @ c_2EPast__Temporal__Logic_2EPALWAYS @ ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ V0a ) ) )
% 5.66/5.90 & ( ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ ( ap @ c_2EPast__Temporal__Logic_2EPEVENTUAL @ V0a ) )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V11t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ c_2EPast__Temporal__Logic_2EInitPoint @ V11t ) ) @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPEVENTUAL @ ( ap @ c_2EPast__Temporal__Logic_2EPSNEXT @ V0a ) ) @ V11t ) ) ) )
% 5.66/5.90 & ( ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSUNTIL @ V0a ) @ V1b ) )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V12t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ c_2EPast__Temporal__Logic_2EInitPoint @ V12t ) ) @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSUNTIL @ ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ V0a ) ) @ ( ap @ c_2EPast__Temporal__Logic_2EPSNEXT @ V1b ) ) @ V12t ) ) ) )
% 5.66/5.90 & ( ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSWHEN @ V0a ) @ V1b ) )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V13t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ c_2EPast__Temporal__Logic_2EInitPoint @ V13t ) ) @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSWHEN @ ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ V0a ) ) @ ( ap @ c_2EPast__Temporal__Logic_2EPSNEXT @ V1b ) ) @ V13t ) ) ) )
% 5.66/5.90 & ( ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSBEFORE @ V0a ) @ V1b ) )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V14t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ c_2EPast__Temporal__Logic_2EInitPoint @ V14t ) ) @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSBEFORE @ ( ap @ c_2EPast__Temporal__Logic_2EPSNEXT @ V0a ) ) @ ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ V1b ) ) @ V14t ) ) ) )
% 5.66/5.90 & ( ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPUNTIL @ V0a ) @ V1b ) )
% 5.66/5.90 = ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPUNTIL @ ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ V0a ) ) @ ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ V1b ) ) )
% 5.66/5.90 & ( ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPWHEN @ V0a ) @ V1b ) )
% 5.66/5.90 = ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPWHEN @ ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ V0a ) ) @ ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ V1b ) ) )
% 5.66/5.90 & ( ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPBEFORE @ V0a ) @ V1b ) )
% 5.66/5.90 = ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPBEFORE @ ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ V0a ) ) @ ( ap @ c_2EPast__Temporal__Logic_2EPSNEXT @ V1b ) ) ) ) ) ) ).
% 5.66/5.90
% 5.66/5.90 thf(conj_thm_2EPast__Temporal__Logic_2ESIMPLIFY,axiom,
% 5.66/5.90 ! [V0b: $i] :
% 5.66/5.90 ( ( mem @ V0b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.90 => ! [V1a: $i] :
% 5.66/5.90 ( ( mem @ V1a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.90 => ( ( ( ap @ c_2ETemporal__Logic_2ENEXT
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V2t: $i] : c_2Ebool_2EF ) )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V3t: $i] : c_2Ebool_2EF ) )
% 5.66/5.90 & ( ( ap @ c_2ETemporal__Logic_2ENEXT
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V4t: $i] : c_2Ebool_2ET ) )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V5t: $i] : c_2Ebool_2ET ) )
% 5.66/5.90 & ( ( ap @ c_2ETemporal__Logic_2EALWAYS
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V6t: $i] : c_2Ebool_2ET ) )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V7t: $i] : c_2Ebool_2ET ) )
% 5.66/5.90 & ( ( ap @ c_2ETemporal__Logic_2EALWAYS
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V8t: $i] : c_2Ebool_2EF ) )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V9t: $i] : c_2Ebool_2EF ) )
% 5.66/5.90 & ( ( ap @ c_2ETemporal__Logic_2EEVENTUAL
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V10t: $i] : c_2Ebool_2ET ) )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V11t: $i] : c_2Ebool_2ET ) )
% 5.66/5.90 & ( ( ap @ c_2ETemporal__Logic_2EEVENTUAL
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V12t: $i] : c_2Ebool_2EF ) )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V13t: $i] : c_2Ebool_2EF ) )
% 5.66/5.90 & ( ( ap
% 5.66/5.90 @ ( ap @ c_2ETemporal__Logic_2ESUNTIL
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V14t: $i] : c_2Ebool_2EF ) )
% 5.66/5.90 @ V0b )
% 5.66/5.90 = V0b )
% 5.66/5.90 & ( ( ap
% 5.66/5.90 @ ( ap @ c_2ETemporal__Logic_2ESUNTIL
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V15t: $i] : c_2Ebool_2ET ) )
% 5.66/5.90 @ V0b )
% 5.66/5.90 = ( ap @ c_2ETemporal__Logic_2EEVENTUAL @ V0b ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2ESUNTIL @ V1a )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V16t: $i] : c_2Ebool_2EF ) )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V17t: $i] : c_2Ebool_2EF ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2ESUNTIL @ V1a )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V18t: $i] : c_2Ebool_2ET ) )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V19t: $i] : c_2Ebool_2ET ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2ESUNTIL @ V1a ) @ V1a )
% 5.66/5.90 = V1a )
% 5.66/5.90 & ( ( ap
% 5.66/5.90 @ ( ap @ c_2ETemporal__Logic_2EUNTIL
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V20t: $i] : c_2Ebool_2EF ) )
% 5.66/5.90 @ V0b )
% 5.66/5.90 = V0b )
% 5.66/5.90 & ( ( ap
% 5.66/5.90 @ ( ap @ c_2ETemporal__Logic_2EUNTIL
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V21t: $i] : c_2Ebool_2ET ) )
% 5.66/5.90 @ V0b )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V22t: $i] : c_2Ebool_2ET ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2EUNTIL @ V1a )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V23t: $i] : c_2Ebool_2EF ) )
% 5.66/5.90 = ( ap @ c_2ETemporal__Logic_2EALWAYS @ V1a ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2EUNTIL @ V1a )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V24t: $i] : c_2Ebool_2ET ) )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V25t: $i] : c_2Ebool_2ET ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2EUNTIL @ V1a ) @ V1a )
% 5.66/5.90 = V1a )
% 5.66/5.90 & ( ( ap
% 5.66/5.90 @ ( ap @ c_2ETemporal__Logic_2ESWHEN
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V26t: $i] : c_2Ebool_2EF ) )
% 5.66/5.90 @ V0b )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V27t: $i] : c_2Ebool_2EF ) )
% 5.66/5.90 & ( ( ap
% 5.66/5.90 @ ( ap @ c_2ETemporal__Logic_2ESWHEN
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V28t: $i] : c_2Ebool_2ET ) )
% 5.66/5.90 @ V0b )
% 5.66/5.90 = ( ap @ c_2ETemporal__Logic_2EEVENTUAL @ V0b ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2ESWHEN @ V1a )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V29t: $i] : c_2Ebool_2EF ) )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V30t: $i] : c_2Ebool_2EF ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2ESWHEN @ V1a )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V31t: $i] : c_2Ebool_2ET ) )
% 5.66/5.90 = V1a )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2ESWHEN @ V1a ) @ V1a )
% 5.66/5.90 = ( ap @ c_2ETemporal__Logic_2EEVENTUAL @ V1a ) )
% 5.66/5.90 & ( ( ap
% 5.66/5.90 @ ( ap @ c_2ETemporal__Logic_2EWHEN
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V32t: $i] : c_2Ebool_2EF ) )
% 5.66/5.90 @ V0b )
% 5.66/5.90 = ( ap @ c_2ETemporal__Logic_2EALWAYS
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V33t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0b @ V33t ) ) ) ) )
% 5.66/5.90 & ( ( ap
% 5.66/5.90 @ ( ap @ c_2ETemporal__Logic_2EWHEN
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V34t: $i] : c_2Ebool_2ET ) )
% 5.66/5.90 @ V0b )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V35t: $i] : c_2Ebool_2ET ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2EWHEN @ V1a )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V36t: $i] : c_2Ebool_2EF ) )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V37t: $i] : c_2Ebool_2ET ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2EWHEN @ V1a )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V38t: $i] : c_2Ebool_2ET ) )
% 5.66/5.90 = V1a )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2EWHEN @ V1a ) @ V1a )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V39t: $i] : c_2Ebool_2ET ) )
% 5.66/5.90 & ( ( ap
% 5.66/5.90 @ ( ap @ c_2ETemporal__Logic_2ESBEFORE
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V40t: $i] : c_2Ebool_2EF ) )
% 5.66/5.90 @ V0b )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V41t: $i] : c_2Ebool_2EF ) )
% 5.66/5.90 & ( ( ap
% 5.66/5.90 @ ( ap @ c_2ETemporal__Logic_2ESBEFORE
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V42t: $i] : c_2Ebool_2ET ) )
% 5.66/5.90 @ V0b )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V43t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0b @ V43t ) ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2ESBEFORE @ V1a )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V44t: $i] : c_2Ebool_2EF ) )
% 5.66/5.90 = ( ap @ c_2ETemporal__Logic_2EEVENTUAL @ V1a ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2ESBEFORE @ V1a )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V45t: $i] : c_2Ebool_2ET ) )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V46t: $i] : c_2Ebool_2EF ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2ESBEFORE @ V1a ) @ V1a )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V47t: $i] : c_2Ebool_2EF ) )
% 5.66/5.90 & ( ( ap
% 5.66/5.90 @ ( ap @ c_2ETemporal__Logic_2EBEFORE
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V48t: $i] : c_2Ebool_2EF ) )
% 5.66/5.90 @ V0b )
% 5.66/5.90 = ( ap @ c_2ETemporal__Logic_2EALWAYS
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V49t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0b @ V49t ) ) ) ) )
% 5.66/5.90 & ( ( ap
% 5.66/5.90 @ ( ap @ c_2ETemporal__Logic_2EBEFORE
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V50t: $i] : c_2Ebool_2ET ) )
% 5.66/5.90 @ V0b )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V51t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0b @ V51t ) ) ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2EBEFORE @ V1a )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V52t: $i] : c_2Ebool_2EF ) )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V53t: $i] : c_2Ebool_2ET ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2EBEFORE @ V1a )
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V54t: $i] : c_2Ebool_2ET ) )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V55t: $i] : c_2Ebool_2EF ) )
% 5.66/5.90 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2EBEFORE @ V1a ) @ V1a )
% 5.66/5.90 = ( ap @ c_2ETemporal__Logic_2EALWAYS
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V56t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V1a @ V56t ) ) ) ) )
% 5.66/5.90 & ( ( ap @ c_2EPast__Temporal__Logic_2EPNEXT
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V57t: $i] : c_2Ebool_2EF ) )
% 5.66/5.90 = c_2EPast__Temporal__Logic_2EInitPoint )
% 5.66/5.90 & ( ( ap @ c_2EPast__Temporal__Logic_2EPNEXT
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V58t: $i] : c_2Ebool_2ET ) )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V59t: $i] : c_2Ebool_2ET ) )
% 5.66/5.90 & ( ( ap @ c_2EPast__Temporal__Logic_2EPSNEXT
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V60t: $i] : c_2Ebool_2EF ) )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V61t: $i] : c_2Ebool_2EF ) )
% 5.66/5.90 & ( ( ap @ c_2EPast__Temporal__Logic_2EPSNEXT
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V62t: $i] : c_2Ebool_2ET ) )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V63t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ c_2EPast__Temporal__Logic_2EInitPoint @ V63t ) ) ) )
% 5.66/5.90 & ( ( ap @ c_2EPast__Temporal__Logic_2EPALWAYS
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V64t: $i] : c_2Ebool_2ET ) )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V65t: $i] : c_2Ebool_2ET ) )
% 5.66/5.90 & ( ( ap @ c_2EPast__Temporal__Logic_2EPALWAYS
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V66t: $i] : c_2Ebool_2EF ) )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V67t: $i] : c_2Ebool_2EF ) )
% 5.66/5.90 & ( ( ap @ c_2EPast__Temporal__Logic_2EPEVENTUAL
% 5.66/5.90 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V68t: $i] : c_2Ebool_2ET ) )
% 5.66/5.90 = ( lam @ ty_2Enum_2Enum
% 5.66/5.90 @ ^ [V69t: $i] : c_2Ebool_2ET ) )
% 5.66/5.90 & ( ( ap @ c_2EPast__Temporal__Logic_2EPEVENTUAL
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V70t: $i] : c_2Ebool_2EF ) )
% 5.66/5.91 = ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V71t: $i] : c_2Ebool_2EF ) )
% 5.66/5.91 & ( ( ap
% 5.66/5.91 @ ( ap @ c_2EPast__Temporal__Logic_2EPSUNTIL
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V72t: $i] : c_2Ebool_2EF ) )
% 5.66/5.91 @ V0b )
% 5.66/5.91 = V0b )
% 5.66/5.91 & ( ( ap
% 5.66/5.91 @ ( ap @ c_2EPast__Temporal__Logic_2EPSUNTIL
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V73t: $i] : c_2Ebool_2ET ) )
% 5.66/5.91 @ V0b )
% 5.66/5.91 = ( ap @ c_2EPast__Temporal__Logic_2EPEVENTUAL @ V0b ) )
% 5.66/5.91 & ( ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSUNTIL @ V1a )
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V74t: $i] : c_2Ebool_2EF ) )
% 5.66/5.91 = ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V75t: $i] : c_2Ebool_2EF ) )
% 5.66/5.91 & ( ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSUNTIL @ V1a )
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V76t: $i] : c_2Ebool_2ET ) )
% 5.66/5.91 = ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V77t: $i] : c_2Ebool_2ET ) )
% 5.66/5.91 & ( ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSUNTIL @ V1a ) @ V1a )
% 5.66/5.91 = V1a )
% 5.66/5.91 & ( ( ap
% 5.66/5.91 @ ( ap @ c_2EPast__Temporal__Logic_2EPUNTIL
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V78t: $i] : c_2Ebool_2EF ) )
% 5.66/5.91 @ V0b )
% 5.66/5.91 = V0b )
% 5.66/5.91 & ( ( ap
% 5.66/5.91 @ ( ap @ c_2EPast__Temporal__Logic_2EPUNTIL
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V79t: $i] : c_2Ebool_2ET ) )
% 5.66/5.91 @ V0b )
% 5.66/5.91 = ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V80t: $i] : c_2Ebool_2ET ) )
% 5.66/5.91 & ( ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPUNTIL @ V1a )
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V81t: $i] : c_2Ebool_2EF ) )
% 5.66/5.91 = ( ap @ c_2EPast__Temporal__Logic_2EPALWAYS @ V1a ) )
% 5.66/5.91 & ( ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPUNTIL @ V1a )
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V82t: $i] : c_2Ebool_2ET ) )
% 5.66/5.91 = ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V83t: $i] : c_2Ebool_2ET ) )
% 5.66/5.91 & ( ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPUNTIL @ V1a ) @ V1a )
% 5.66/5.91 = V1a )
% 5.66/5.91 & ( ( ap
% 5.66/5.91 @ ( ap @ c_2EPast__Temporal__Logic_2EPSWHEN
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V84t: $i] : c_2Ebool_2EF ) )
% 5.66/5.91 @ V0b )
% 5.66/5.91 = ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V85t: $i] : c_2Ebool_2EF ) )
% 5.66/5.91 & ( ( ap
% 5.66/5.91 @ ( ap @ c_2EPast__Temporal__Logic_2EPSWHEN
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V86t: $i] : c_2Ebool_2ET ) )
% 5.66/5.91 @ V0b )
% 5.66/5.91 = ( ap @ c_2EPast__Temporal__Logic_2EPEVENTUAL @ V0b ) )
% 5.66/5.91 & ( ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSWHEN @ V1a )
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V87t: $i] : c_2Ebool_2EF ) )
% 5.66/5.91 = ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V88t: $i] : c_2Ebool_2EF ) )
% 5.66/5.91 & ( ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSWHEN @ V1a )
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V89t: $i] : c_2Ebool_2ET ) )
% 5.66/5.91 = V1a )
% 5.66/5.91 & ( ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSWHEN @ V1a ) @ V1a )
% 5.66/5.91 = ( ap @ c_2EPast__Temporal__Logic_2EPEVENTUAL @ V1a ) )
% 5.66/5.91 & ( ( ap
% 5.66/5.91 @ ( ap @ c_2EPast__Temporal__Logic_2EPWHEN
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V90t: $i] : c_2Ebool_2EF ) )
% 5.66/5.91 @ V0b )
% 5.66/5.91 = ( ap @ c_2EPast__Temporal__Logic_2EPALWAYS
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V91t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0b @ V91t ) ) ) ) )
% 5.66/5.91 & ( ( ap
% 5.66/5.91 @ ( ap @ c_2EPast__Temporal__Logic_2EPWHEN
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V92t: $i] : c_2Ebool_2ET ) )
% 5.66/5.91 @ V0b )
% 5.66/5.91 = ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V93t: $i] : c_2Ebool_2ET ) )
% 5.66/5.91 & ( ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPWHEN @ V1a )
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V94t: $i] : c_2Ebool_2EF ) )
% 5.66/5.91 = ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V95t: $i] : c_2Ebool_2ET ) )
% 5.66/5.91 & ( ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPWHEN @ V1a )
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V96t: $i] : c_2Ebool_2ET ) )
% 5.66/5.91 = V1a )
% 5.66/5.91 & ( ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPWHEN @ V1a ) @ V1a )
% 5.66/5.91 = ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V97t: $i] : c_2Ebool_2ET ) )
% 5.66/5.91 & ( ( ap
% 5.66/5.91 @ ( ap @ c_2EPast__Temporal__Logic_2EPSBEFORE
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V98t: $i] : c_2Ebool_2EF ) )
% 5.66/5.91 @ V0b )
% 5.66/5.91 = ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V99t: $i] : c_2Ebool_2EF ) )
% 5.66/5.91 & ( ( ap
% 5.66/5.91 @ ( ap @ c_2EPast__Temporal__Logic_2EPSBEFORE
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V100t: $i] : c_2Ebool_2ET ) )
% 5.66/5.91 @ V0b )
% 5.66/5.91 = ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V101t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0b @ V101t ) ) ) )
% 5.66/5.91 & ( ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSBEFORE @ V1a )
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V102t: $i] : c_2Ebool_2EF ) )
% 5.66/5.91 = ( ap @ c_2EPast__Temporal__Logic_2EPEVENTUAL @ V1a ) )
% 5.66/5.91 & ( ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSBEFORE @ V1a )
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V103t: $i] : c_2Ebool_2ET ) )
% 5.66/5.91 = ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V104t: $i] : c_2Ebool_2EF ) )
% 5.66/5.91 & ( ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSBEFORE @ V1a ) @ V1a )
% 5.66/5.91 = ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V105t: $i] : c_2Ebool_2EF ) )
% 5.66/5.91 & ( ( ap
% 5.66/5.91 @ ( ap @ c_2EPast__Temporal__Logic_2EPBEFORE
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V106t: $i] : c_2Ebool_2EF ) )
% 5.66/5.91 @ V0b )
% 5.66/5.91 = ( ap @ c_2EPast__Temporal__Logic_2EPALWAYS
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V107t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0b @ V107t ) ) ) ) )
% 5.66/5.91 & ( ( ap
% 5.66/5.91 @ ( ap @ c_2EPast__Temporal__Logic_2EPBEFORE
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V108t: $i] : c_2Ebool_2ET ) )
% 5.66/5.91 @ V0b )
% 5.66/5.91 = ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V109t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0b @ V109t ) ) ) )
% 5.66/5.91 & ( ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPBEFORE @ V1a )
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V110t: $i] : c_2Ebool_2EF ) )
% 5.66/5.91 = ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V111t: $i] : c_2Ebool_2ET ) )
% 5.66/5.91 & ( ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPBEFORE @ V1a )
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V112t: $i] : c_2Ebool_2ET ) )
% 5.66/5.91 = ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V113t: $i] : c_2Ebool_2EF ) )
% 5.66/5.91 & ( ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPBEFORE @ V1a ) @ V1a )
% 5.66/5.91 = ( ap @ c_2EPast__Temporal__Logic_2EPALWAYS
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V114t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V1a @ V114t ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2EPast__Temporal__Logic_2EMORE__EVENT,axiom,
% 5.66/5.91 ! [V0a: $i] :
% 5.66/5.91 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.91 => ! [V1b: $i] :
% 5.66/5.91 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.91 => ( ( ( ap @ ( ap @ c_2ETemporal__Logic_2EWHEN @ V0a ) @ V1b )
% 5.66/5.91 = ( ap
% 5.66/5.91 @ ( ap @ c_2ETemporal__Logic_2EWHEN
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V2t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V2t ) ) @ ( ap @ V1b @ V2t ) ) ) )
% 5.66/5.91 @ V1b ) )
% 5.66/5.91 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2EUNTIL @ V0a ) @ V1b )
% 5.66/5.91 = ( ap
% 5.66/5.91 @ ( ap @ c_2ETemporal__Logic_2EUNTIL
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V3t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V3t ) ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V1b @ V3t ) ) ) ) )
% 5.66/5.91 @ V1b ) )
% 5.66/5.91 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2EBEFORE @ V0a ) @ V1b )
% 5.66/5.91 = ( ap
% 5.66/5.91 @ ( ap @ c_2ETemporal__Logic_2EBEFORE
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V4t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V4t ) ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V1b @ V4t ) ) ) ) )
% 5.66/5.91 @ V1b ) )
% 5.66/5.91 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2ESWHEN @ V0a ) @ V1b )
% 5.66/5.91 = ( ap
% 5.66/5.91 @ ( ap @ c_2ETemporal__Logic_2ESWHEN
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V5t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V5t ) ) @ ( ap @ V1b @ V5t ) ) ) )
% 5.66/5.91 @ V1b ) )
% 5.66/5.91 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2ESUNTIL @ V0a ) @ V1b )
% 5.66/5.91 = ( ap
% 5.66/5.91 @ ( ap @ c_2ETemporal__Logic_2ESUNTIL
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V6t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V6t ) ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V1b @ V6t ) ) ) ) )
% 5.66/5.91 @ V1b ) )
% 5.66/5.91 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2ESBEFORE @ V0a ) @ V1b )
% 5.66/5.91 = ( ap
% 5.66/5.91 @ ( ap @ c_2ETemporal__Logic_2ESBEFORE
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V7t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V7t ) ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V1b @ V7t ) ) ) ) )
% 5.66/5.91 @ V1b ) )
% 5.66/5.91 & ( ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPWHEN @ V0a ) @ V1b )
% 5.66/5.91 = ( ap
% 5.66/5.91 @ ( ap @ c_2EPast__Temporal__Logic_2EPWHEN
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V8t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V8t ) ) @ ( ap @ V1b @ V8t ) ) ) )
% 5.66/5.91 @ V1b ) )
% 5.66/5.91 & ( ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPUNTIL @ V0a ) @ V1b )
% 5.66/5.91 = ( ap
% 5.66/5.91 @ ( ap @ c_2EPast__Temporal__Logic_2EPUNTIL
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V9t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V9t ) ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V1b @ V9t ) ) ) ) )
% 5.66/5.91 @ V1b ) )
% 5.66/5.91 & ( ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPBEFORE @ V0a ) @ V1b )
% 5.66/5.91 = ( ap
% 5.66/5.91 @ ( ap @ c_2EPast__Temporal__Logic_2EPBEFORE
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V10t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V10t ) ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V1b @ V10t ) ) ) ) )
% 5.66/5.91 @ V1b ) )
% 5.66/5.91 & ( ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSWHEN @ V0a ) @ V1b )
% 5.66/5.91 = ( ap
% 5.66/5.91 @ ( ap @ c_2EPast__Temporal__Logic_2EPSWHEN
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V11t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V11t ) ) @ ( ap @ V1b @ V11t ) ) ) )
% 5.66/5.91 @ V1b ) )
% 5.66/5.91 & ( ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSUNTIL @ V0a ) @ V1b )
% 5.66/5.91 = ( ap
% 5.66/5.91 @ ( ap @ c_2EPast__Temporal__Logic_2EPSUNTIL
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V12t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V12t ) ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V1b @ V12t ) ) ) ) )
% 5.66/5.91 @ V1b ) )
% 5.66/5.91 & ( ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSBEFORE @ V0a ) @ V1b )
% 5.66/5.91 = ( ap
% 5.66/5.91 @ ( ap @ c_2EPast__Temporal__Logic_2EPSBEFORE
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V13t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V13t ) ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V1b @ V13t ) ) ) ) )
% 5.66/5.91 @ V1b ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2EPast__Temporal__Logic_2EIMMEDIATE__EVENT,axiom,
% 5.66/5.91 ! [V0b: $i] :
% 5.66/5.91 ( ( mem @ V0b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.91 => ! [V1t: tp__ty_2Enum_2Enum,V2a: $i] :
% 5.66/5.91 ( ( mem @ V2a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.91 => ( ( p @ ( ap @ V0b @ ( inj__ty_2Enum_2Enum @ V1t ) ) )
% 5.66/5.91 => ( ( ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2EWHEN @ V2a ) @ V0b ) @ ( inj__ty_2Enum_2Enum @ V1t ) ) )
% 5.66/5.91 <=> ( p @ ( ap @ V2a @ ( inj__ty_2Enum_2Enum @ V1t ) ) ) )
% 5.66/5.91 & ( ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2EUNTIL @ V2a ) @ V0b ) @ ( inj__ty_2Enum_2Enum @ V1t ) ) )
% 5.66/5.91 <=> $true )
% 5.66/5.91 & ( ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2EBEFORE @ V2a ) @ V0b ) @ ( inj__ty_2Enum_2Enum @ V1t ) ) )
% 5.66/5.91 <=> $false )
% 5.66/5.91 & ( ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2EBEFORE @ V0b ) @ V2a ) @ ( inj__ty_2Enum_2Enum @ V1t ) ) )
% 5.66/5.91 <=> ~ ( p @ ( ap @ V2a @ ( inj__ty_2Enum_2Enum @ V1t ) ) ) )
% 5.66/5.91 & ( ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESWHEN @ V2a ) @ V0b ) @ ( inj__ty_2Enum_2Enum @ V1t ) ) )
% 5.66/5.91 <=> ( p @ ( ap @ V2a @ ( inj__ty_2Enum_2Enum @ V1t ) ) ) )
% 5.66/5.91 & ( ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESUNTIL @ V2a ) @ V0b ) @ ( inj__ty_2Enum_2Enum @ V1t ) ) )
% 5.66/5.91 <=> $true )
% 5.66/5.91 & ( ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESBEFORE @ V2a ) @ V0b ) @ ( inj__ty_2Enum_2Enum @ V1t ) ) )
% 5.66/5.91 <=> $false )
% 5.66/5.91 & ( ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESBEFORE @ V0b ) @ V2a ) @ ( inj__ty_2Enum_2Enum @ V1t ) ) )
% 5.66/5.91 <=> ~ ( p @ ( ap @ V2a @ ( inj__ty_2Enum_2Enum @ V1t ) ) ) )
% 5.66/5.91 & ( ( p @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPWHEN @ V2a ) @ V0b ) @ ( inj__ty_2Enum_2Enum @ V1t ) ) )
% 5.66/5.91 <=> ( p @ ( ap @ V2a @ ( inj__ty_2Enum_2Enum @ V1t ) ) ) )
% 5.66/5.91 & ( ( p @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPUNTIL @ V2a ) @ V0b ) @ ( inj__ty_2Enum_2Enum @ V1t ) ) )
% 5.66/5.91 <=> $true )
% 5.66/5.91 & ( ( p @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPBEFORE @ V2a ) @ V0b ) @ ( inj__ty_2Enum_2Enum @ V1t ) ) )
% 5.66/5.91 <=> $false )
% 5.66/5.91 & ( ( p @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPBEFORE @ V0b ) @ V2a ) @ ( inj__ty_2Enum_2Enum @ V1t ) ) )
% 5.66/5.91 <=> ~ ( p @ ( ap @ V2a @ ( inj__ty_2Enum_2Enum @ V1t ) ) ) )
% 5.66/5.91 & ( ( p @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSWHEN @ V2a ) @ V0b ) @ ( inj__ty_2Enum_2Enum @ V1t ) ) )
% 5.66/5.91 <=> ( p @ ( ap @ V2a @ ( inj__ty_2Enum_2Enum @ V1t ) ) ) )
% 5.66/5.91 & ( ( p @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSUNTIL @ V2a ) @ V0b ) @ ( inj__ty_2Enum_2Enum @ V1t ) ) )
% 5.66/5.91 <=> $true )
% 5.66/5.91 & ( ( p @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSBEFORE @ V2a ) @ V0b ) @ ( inj__ty_2Enum_2Enum @ V1t ) ) )
% 5.66/5.91 <=> $false )
% 5.66/5.91 & ( ( p @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSBEFORE @ V0b ) @ V2a ) @ ( inj__ty_2Enum_2Enum @ V1t ) ) )
% 5.66/5.91 <=> ~ ( p @ ( ap @ V2a @ ( inj__ty_2Enum_2Enum @ V1t ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2EPast__Temporal__Logic_2ENO__FUTURE__EVENT,axiom,
% 5.66/5.91 ! [V0b: $i] :
% 5.66/5.91 ( ( mem @ V0b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.91 => ! [V1t0: tp__ty_2Enum_2Enum] :
% 5.66/5.91 ( ( p
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap @ c_2ETemporal__Logic_2EALWAYS
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V2t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0b @ V2t ) ) ) )
% 5.66/5.91 @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) )
% 5.66/5.91 => ( ! [V3a: $i] :
% 5.66/5.91 ( ( mem @ V3a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.91 => ( ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2EWHEN @ V3a ) @ V0b ) @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) )
% 5.66/5.91 <=> $true ) )
% 5.66/5.91 & ! [V4a: $i] :
% 5.66/5.91 ( ( mem @ V4a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.91 => ( ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2EUNTIL @ V4a ) @ V0b ) @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) )
% 5.66/5.91 <=> ( p @ ( ap @ ( ap @ c_2ETemporal__Logic_2EALWAYS @ V4a ) @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) ) ) )
% 5.66/5.91 & ! [V5a: $i] :
% 5.66/5.91 ( ( mem @ V5a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.91 => ( ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2EBEFORE @ V5a ) @ V0b ) @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) )
% 5.66/5.91 <=> $true ) )
% 5.66/5.91 & ! [V6a: $i] :
% 5.66/5.91 ( ( mem @ V6a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.91 => ( ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESWHEN @ V6a ) @ V0b ) @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) )
% 5.66/5.91 <=> $false ) )
% 5.66/5.91 & ! [V7a: $i] :
% 5.66/5.91 ( ( mem @ V7a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.91 => ( ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESUNTIL @ V7a ) @ V0b ) @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) )
% 5.66/5.91 <=> $false ) )
% 5.66/5.91 & ! [V8a: $i] :
% 5.66/5.91 ( ( mem @ V8a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.91 => ( ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESBEFORE @ V8a ) @ V0b ) @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) )
% 5.66/5.91 <=> ( p @ ( ap @ ( ap @ c_2ETemporal__Logic_2EEVENTUAL @ V8a ) @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2EPast__Temporal__Logic_2ENO__PAST__EVENT,axiom,
% 5.66/5.91 ! [V0b: $i] :
% 5.66/5.91 ( ( mem @ V0b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.91 => ! [V1t: tp__ty_2Enum_2Enum,V2a: $i] :
% 5.66/5.91 ( ( mem @ V2a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.91 => ( ( p
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap @ c_2EPast__Temporal__Logic_2EPALWAYS
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V3t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V0b @ V3t ) ) ) )
% 5.66/5.91 @ ( inj__ty_2Enum_2Enum @ V1t ) ) )
% 5.66/5.91 => ( ( ( p @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPWHEN @ V2a ) @ V0b ) @ ( inj__ty_2Enum_2Enum @ V1t ) ) )
% 5.66/5.91 <=> $true )
% 5.66/5.91 & ( ( p @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPUNTIL @ V2a ) @ V0b ) @ ( inj__ty_2Enum_2Enum @ V1t ) ) )
% 5.66/5.91 <=> ( p @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPALWAYS @ V2a ) @ ( inj__ty_2Enum_2Enum @ V1t ) ) ) )
% 5.66/5.91 & ( ( p @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPBEFORE @ V2a ) @ V0b ) @ ( inj__ty_2Enum_2Enum @ V1t ) ) )
% 5.66/5.91 <=> $true )
% 5.66/5.91 & ( ( p @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPBEFORE @ V0b ) @ V2a ) @ ( inj__ty_2Enum_2Enum @ V1t ) ) )
% 5.66/5.91 <=> ( p
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap @ c_2EPast__Temporal__Logic_2EPALWAYS
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V4t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V2a @ V4t ) ) ) )
% 5.66/5.91 @ ( inj__ty_2Enum_2Enum @ V1t ) ) ) )
% 5.66/5.91 & ( ( p @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSWHEN @ V2a ) @ V0b ) @ ( inj__ty_2Enum_2Enum @ V1t ) ) )
% 5.66/5.91 <=> $false )
% 5.66/5.91 & ( ( p @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSUNTIL @ V2a ) @ V0b ) @ ( inj__ty_2Enum_2Enum @ V1t ) ) )
% 5.66/5.91 <=> $false )
% 5.66/5.91 & ( ( p @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSBEFORE @ V2a ) @ V0b ) @ ( inj__ty_2Enum_2Enum @ V1t ) ) )
% 5.66/5.91 <=> ( p @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPEVENTUAL @ V2a ) @ ( inj__ty_2Enum_2Enum @ V1t ) ) ) )
% 5.66/5.91 & ( ( p @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSBEFORE @ V0b ) @ V2a ) @ ( inj__ty_2Enum_2Enum @ V1t ) ) )
% 5.66/5.91 <=> $false ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2EPast__Temporal__Logic_2ESOME__FUTURE__EVENT,axiom,
% 5.66/5.91 ! [V0b: $i] :
% 5.66/5.91 ( ( mem @ V0b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.91 => ! [V1t0: tp__ty_2Enum_2Enum] :
% 5.66/5.91 ( ( ( p @ ( ap @ ( ap @ c_2ETemporal__Logic_2EEVENTUAL @ V0b ) @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) )
% 5.66/5.91 <=> ! [V2a: $i] :
% 5.66/5.91 ( ( mem @ V2a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.91 => ( ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2EWHEN @ V2a ) @ V0b ) @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) )
% 5.66/5.91 <=> ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESWHEN @ V2a ) @ V0b ) @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) ) ) ) )
% 5.66/5.91 & ( ( p @ ( ap @ ( ap @ c_2ETemporal__Logic_2EEVENTUAL @ V0b ) @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) )
% 5.66/5.91 <=> ! [V3a: $i] :
% 5.66/5.91 ( ( mem @ V3a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.91 => ( ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2EUNTIL @ V3a ) @ V0b ) @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) )
% 5.66/5.91 <=> ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESUNTIL @ V3a ) @ V0b ) @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) ) ) ) )
% 5.66/5.91 & ( ( p @ ( ap @ ( ap @ c_2ETemporal__Logic_2EEVENTUAL @ V0b ) @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) )
% 5.66/5.91 <=> ! [V4a: $i] :
% 5.66/5.91 ( ( mem @ V4a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.91 => ( ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2EBEFORE @ V4a ) @ V0b ) @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) )
% 5.66/5.91 <=> ( p @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESBEFORE @ V4a ) @ V0b ) @ ( inj__ty_2Enum_2Enum @ V1t0 ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2EPast__Temporal__Logic_2ESOME__PAST__EVENT,axiom,
% 5.66/5.91 ! [V0b: $i] :
% 5.66/5.91 ( ( mem @ V0b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.91 => ! [V1t: tp__ty_2Enum_2Enum,V2a: $i] :
% 5.66/5.91 ( ( mem @ V2a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.91 => ( ( p @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPEVENTUAL @ V0b ) @ ( inj__ty_2Enum_2Enum @ V1t ) ) )
% 5.66/5.91 => ( ( ( p @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPWHEN @ V2a ) @ V0b ) @ ( inj__ty_2Enum_2Enum @ V1t ) ) )
% 5.66/5.91 <=> ( p @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSWHEN @ V2a ) @ V0b ) @ ( inj__ty_2Enum_2Enum @ V1t ) ) ) )
% 5.66/5.91 & ( ( p @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPUNTIL @ V2a ) @ V0b ) @ ( inj__ty_2Enum_2Enum @ V1t ) ) )
% 5.66/5.91 <=> ( p @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSUNTIL @ V2a ) @ V0b ) @ ( inj__ty_2Enum_2Enum @ V1t ) ) ) )
% 5.66/5.91 & ( ( p @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPBEFORE @ V2a ) @ V0b ) @ ( inj__ty_2Enum_2Enum @ V1t ) ) )
% 5.66/5.91 <=> ( p @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSBEFORE @ V2a ) @ V0b ) @ ( inj__ty_2Enum_2Enum @ V1t ) ) ) )
% 5.66/5.91 & ( ( p @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPBEFORE @ V0b ) @ V2a ) @ ( inj__ty_2Enum_2Enum @ V1t ) ) )
% 5.66/5.91 <=> ( p @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSBEFORE @ V0b ) @ V2a ) @ ( inj__ty_2Enum_2Enum @ V1t ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2EPast__Temporal__Logic_2ESEPARATE__NEXT__THM,axiom,
% 5.66/5.91 ! [V0a: $i] :
% 5.66/5.91 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.91 => ! [V1b: $i] :
% 5.66/5.91 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.91 => ! [V2c: $i] :
% 5.66/5.91 ( ( mem @ V2c @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.91 => ( ( ( ap @ c_2ETemporal__Logic_2ENEXT
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V3t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V3t ) ) @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ V1b ) @ V3t ) ) ) )
% 5.66/5.91 = ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V4t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V1b @ V4t ) ) @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V0a ) @ V4t ) ) ) )
% 5.66/5.91 & ( ( ap @ c_2ETemporal__Logic_2ENEXT
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V5t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V5t ) ) @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSNEXT @ V1b ) @ V5t ) ) ) )
% 5.66/5.91 = ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V6t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V1b @ V6t ) ) @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V0a ) @ V6t ) ) ) )
% 5.66/5.91 & ( ( ap @ c_2ETemporal__Logic_2ENEXT
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V7t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V7t ) ) @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSUNTIL @ V1b ) @ V2c ) @ V7t ) ) ) )
% 5.66/5.91 = ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V8t: $i] :
% 5.66/5.91 ( ap
% 5.66/5.91 @ ( ap @ c_2Ebool_2E_5C_2F
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap @ c_2ETemporal__Logic_2ENEXT
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V9t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V9t ) ) @ ( ap @ V2c @ V9t ) ) ) )
% 5.66/5.91 @ V8t ) )
% 5.66/5.91 @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSUNTIL @ V1b ) @ V2c ) @ V8t ) )
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap @ c_2ETemporal__Logic_2ENEXT
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V10t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V10t ) ) @ ( ap @ V1b @ V10t ) ) ) )
% 5.66/5.91 @ V8t ) ) ) ) )
% 5.66/5.91 & ( ( ap @ c_2ETemporal__Logic_2ENEXT
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V11t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V11t ) ) @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPBEFORE @ V1b ) @ V2c ) @ V11t ) ) ) )
% 5.66/5.91 = ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V12t: $i] :
% 5.66/5.91 ( ap
% 5.66/5.91 @ ( ap @ c_2Ebool_2E_5C_2F
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap @ c_2ETemporal__Logic_2ENEXT
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V13t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V13t ) ) @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V1b @ V13t ) ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V2c @ V13t ) ) ) ) ) )
% 5.66/5.91 @ V12t ) )
% 5.66/5.91 @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPBEFORE @ V1b ) @ V2c ) @ V12t ) )
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap @ c_2ETemporal__Logic_2ENEXT
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V14t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V14t ) ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V2c @ V14t ) ) ) ) )
% 5.66/5.91 @ V12t ) ) ) ) )
% 5.66/5.91 & ( ( ap @ c_2ETemporal__Logic_2ENEXT
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V15t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V0a @ V15t ) ) @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ V1b ) @ V15t ) ) ) )
% 5.66/5.91 = ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V16t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V1b @ V16t ) ) @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V0a ) @ V16t ) ) ) )
% 5.66/5.91 & ( ( ap @ c_2ETemporal__Logic_2ENEXT
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V17t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V0a @ V17t ) ) @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSNEXT @ V1b ) @ V17t ) ) ) )
% 5.66/5.91 = ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V18t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V1b @ V18t ) ) @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V0a ) @ V18t ) ) ) )
% 5.66/5.91 & ( ( ap @ c_2ETemporal__Logic_2ENEXT
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V19t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V0a @ V19t ) ) @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSUNTIL @ V1b ) @ V2c ) @ V19t ) ) ) )
% 5.66/5.91 = ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V20t: $i] :
% 5.66/5.91 ( ap
% 5.66/5.91 @ ( ap @ c_2Ebool_2E_5C_2F
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap @ c_2ETemporal__Logic_2ENEXT
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V21t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V0a @ V21t ) ) @ ( ap @ V2c @ V21t ) ) ) )
% 5.66/5.91 @ V20t ) )
% 5.66/5.91 @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSUNTIL @ V1b ) @ V2c ) @ V20t ) ) @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V1b ) @ V20t ) ) ) ) )
% 5.66/5.91 & ( ( ap @ c_2ETemporal__Logic_2ENEXT
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V22t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V0a @ V22t ) ) @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPBEFORE @ V1b ) @ V2c ) @ V22t ) ) ) )
% 5.66/5.91 = ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V23t: $i] :
% 5.66/5.91 ( ap
% 5.66/5.91 @ ( ap @ c_2Ebool_2E_2F_5C
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap @ c_2ETemporal__Logic_2ENEXT
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V24t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V0a @ V24t ) ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V2c @ V24t ) ) ) ) )
% 5.66/5.91 @ V23t ) )
% 5.66/5.91 @ ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPBEFORE @ V1b ) @ V2c ) @ V23t ) )
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap @ c_2ETemporal__Logic_2ENEXT
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V25t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V0a @ V25t ) ) @ ( ap @ V1b @ V25t ) ) ) )
% 5.66/5.91 @ V23t ) ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2EPast__Temporal__Logic_2ESEPARATE__SUNTIL__THM,axiom,
% 5.66/5.91 ! [V0a: $i] :
% 5.66/5.91 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.91 => ! [V1b: $i] :
% 5.66/5.91 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.91 => ! [V2c: $i] :
% 5.66/5.91 ( ( mem @ V2c @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.91 => ! [V3d: $i] :
% 5.66/5.91 ( ( mem @ V3d @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.91 => ( ( ( ap @ ( ap @ c_2ETemporal__Logic_2ESUNTIL @ V0a )
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V4t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V1b @ V4t ) ) @ ( ap @ V2c @ V4t ) ) ) )
% 5.66/5.91 = ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V5t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESUNTIL @ V0a ) @ V1b ) @ V5t ) ) @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESUNTIL @ V0a ) @ V2c ) @ V5t ) ) ) )
% 5.66/5.91 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2ESUNTIL @ V0a )
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V6t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V1b @ V6t ) ) @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ V2c ) @ V6t ) ) ) )
% 5.66/5.91 = ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V7t: $i] :
% 5.66/5.91 ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V1b @ V7t ) ) @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ V2c ) @ V7t ) ) )
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESUNTIL @ V0a )
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V8t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V8t ) ) @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V2c @ V8t ) ) @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V1b ) @ V8t ) ) ) ) )
% 5.66/5.91 @ V7t ) ) ) )
% 5.66/5.91 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2ESUNTIL @ V0a )
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V9t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V1b @ V9t ) ) @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSNEXT @ V2c ) @ V9t ) ) ) )
% 5.66/5.91 = ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V10t: $i] :
% 5.66/5.91 ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V1b @ V10t ) ) @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSNEXT @ V2c ) @ V10t ) ) )
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESUNTIL @ V0a )
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V11t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V11t ) ) @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V2c @ V11t ) ) @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V1b ) @ V11t ) ) ) ) )
% 5.66/5.91 @ V10t ) ) ) )
% 5.66/5.91 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2ESUNTIL @ V0a )
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V12t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V1b @ V12t ) ) @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSUNTIL @ V2c ) @ V3d ) @ V12t ) ) ) )
% 5.66/5.91 = ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V13t: $i] :
% 5.66/5.91 ( ap
% 5.66/5.91 @ ( ap @ c_2Ebool_2E_5C_2F
% 5.66/5.91 @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSUNTIL @ V2c ) @ V3d ) @ V13t ) )
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap @ c_2ETemporal__Logic_2ESUNTIL
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V14t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V14t ) ) @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V2c ) @ V14t ) ) ) )
% 5.66/5.91 @ V1b )
% 5.66/5.91 @ V13t ) ) )
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESUNTIL @ V0a )
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V15t: $i] :
% 5.66/5.91 ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V3d @ V15t ) )
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap @ c_2ETemporal__Logic_2ESUNTIL
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V16t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V16t ) ) @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V2c ) @ V16t ) ) ) )
% 5.66/5.91 @ V1b )
% 5.66/5.91 @ V15t ) ) ) )
% 5.66/5.91 @ V13t ) ) ) )
% 5.66/5.91 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2ESUNTIL @ V0a )
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V17t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V1b @ V17t ) ) @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPBEFORE @ V2c ) @ V3d ) @ V17t ) ) ) )
% 5.66/5.91 = ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V18t: $i] :
% 5.66/5.91 ( ap
% 5.66/5.91 @ ( ap @ c_2Ebool_2E_5C_2F
% 5.66/5.91 @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPBEFORE @ V2c ) @ V3d ) @ V18t ) )
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap @ c_2ETemporal__Logic_2ESUNTIL
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V19t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V19t ) ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V3d ) @ V19t ) ) ) ) )
% 5.66/5.91 @ V1b )
% 5.66/5.91 @ V18t ) ) )
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESUNTIL @ V0a )
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V20t: $i] :
% 5.66/5.91 ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V2c @ V20t ) )
% 5.66/5.91 @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V3d @ V20t ) ) )
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap @ c_2ETemporal__Logic_2ESUNTIL
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V21t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V21t ) ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V3d ) @ V21t ) ) ) ) )
% 5.66/5.91 @ V1b )
% 5.66/5.91 @ V20t ) ) ) ) )
% 5.66/5.91 @ V18t ) ) ) )
% 5.66/5.91 & ( ( ap
% 5.66/5.91 @ ( ap @ c_2ETemporal__Logic_2ESUNTIL
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V22t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V22t ) ) @ ( ap @ V1b @ V22t ) ) ) )
% 5.66/5.91 @ V2c )
% 5.66/5.91 = ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V23t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESUNTIL @ V0a ) @ V2c ) @ V23t ) ) @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESUNTIL @ V1b ) @ V2c ) @ V23t ) ) ) )
% 5.66/5.91 & ( ( ap
% 5.66/5.91 @ ( ap @ c_2ETemporal__Logic_2ESUNTIL
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V24t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V0a @ V24t ) ) @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ V1b ) @ V24t ) ) ) )
% 5.66/5.91 @ V2c )
% 5.66/5.91 = ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V25t: $i] :
% 5.66/5.91 ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V2c @ V25t ) )
% 5.66/5.91 @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V0a @ V25t ) ) @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ V1b ) @ V25t ) ) )
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap @ c_2ETemporal__Logic_2ESUNTIL
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V26t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V1b @ V26t ) ) @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V0a ) @ V26t ) ) ) )
% 5.66/5.91 @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V2c ) )
% 5.66/5.91 @ V25t ) ) ) ) )
% 5.66/5.91 & ( ( ap
% 5.66/5.91 @ ( ap @ c_2ETemporal__Logic_2ESUNTIL
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V27t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V0a @ V27t ) ) @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSNEXT @ V1b ) @ V27t ) ) ) )
% 5.66/5.91 @ V2c )
% 5.66/5.91 = ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V28t: $i] :
% 5.66/5.91 ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V2c @ V28t ) )
% 5.66/5.91 @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V0a @ V28t ) ) @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSNEXT @ V1b ) @ V28t ) ) )
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap @ c_2ETemporal__Logic_2ESUNTIL
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V29t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V1b @ V29t ) ) @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V0a ) @ V29t ) ) ) )
% 5.66/5.91 @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V2c ) )
% 5.66/5.91 @ V28t ) ) ) ) )
% 5.66/5.91 & ( ( ap
% 5.66/5.91 @ ( ap @ c_2ETemporal__Logic_2ESUNTIL
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V30t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V0a @ V30t ) ) @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSUNTIL @ V1b ) @ V2c ) @ V30t ) ) ) )
% 5.66/5.91 @ V3d )
% 5.66/5.91 = ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V31t: $i] :
% 5.66/5.91 ( ap
% 5.66/5.91 @ ( ap @ c_2Ebool_2E_2F_5C
% 5.66/5.91 @ ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSUNTIL @ V1b ) @ V2c ) @ V31t ) )
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap @ c_2ETemporal__Logic_2EBEFORE
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V32t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V3d @ V32t ) ) @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V2c ) @ V32t ) ) ) )
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V33t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V33t ) ) ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V3d @ V33t ) ) ) ) )
% 5.66/5.91 @ V31t ) ) )
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap @ c_2ETemporal__Logic_2ESUNTIL
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V34t: $i] :
% 5.66/5.91 ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V1b @ V34t ) )
% 5.66/5.91 @ ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V2c @ V34t ) )
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap @ c_2ETemporal__Logic_2EBEFORE
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V35t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V3d @ V35t ) ) @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V2c ) @ V35t ) ) ) )
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V36t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V36t ) ) ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V3d @ V36t ) ) ) ) )
% 5.66/5.91 @ V34t ) ) ) ) )
% 5.66/5.91 @ V3d )
% 5.66/5.91 @ V31t ) ) ) )
% 5.66/5.91 & ( ( ap
% 5.66/5.91 @ ( ap @ c_2ETemporal__Logic_2ESUNTIL
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V37t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V0a @ V37t ) ) @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPBEFORE @ V1b ) @ V2c ) @ V37t ) ) ) )
% 5.66/5.91 @ V3d )
% 5.66/5.91 = ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V38t: $i] :
% 5.66/5.91 ( ap
% 5.66/5.91 @ ( ap @ c_2Ebool_2E_2F_5C
% 5.66/5.91 @ ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPBEFORE @ V1b ) @ V2c ) @ V38t ) )
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap @ c_2ETemporal__Logic_2EBEFORE
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V39t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V3d @ V39t ) ) @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V1b ) @ V39t ) ) ) )
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V40t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V40t ) ) ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V3d @ V40t ) ) ) ) )
% 5.66/5.91 @ V38t ) ) )
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap @ c_2ETemporal__Logic_2ESUNTIL
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V41t: $i] :
% 5.66/5.91 ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V2c @ V41t ) ) )
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap @ c_2ETemporal__Logic_2EBEFORE
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V42t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V3d @ V42t ) ) @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V1b ) @ V42t ) ) ) )
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V43t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V43t ) ) ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V3d @ V43t ) ) ) ) )
% 5.66/5.91 @ V41t ) ) ) )
% 5.66/5.91 @ V3d )
% 5.66/5.91 @ V38t ) ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2EPast__Temporal__Logic_2ESEPARATE__BEFORE__THM,axiom,
% 5.66/5.91 ! [V0a: $i] :
% 5.66/5.91 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.91 => ! [V1b: $i] :
% 5.66/5.91 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.91 => ! [V2c: $i] :
% 5.66/5.91 ( ( mem @ V2c @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.91 => ! [V3d: $i] :
% 5.66/5.91 ( ( mem @ V3d @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.91 => ( ( ( ap @ ( ap @ c_2ETemporal__Logic_2EBEFORE @ V0a )
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V4t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V1b @ V4t ) ) @ ( ap @ V2c @ V4t ) ) ) )
% 5.66/5.91 = ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V5t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2EBEFORE @ V0a ) @ V1b ) @ V5t ) ) @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2EBEFORE @ V0a ) @ V2c ) @ V5t ) ) ) )
% 5.66/5.91 & ( ( ap
% 5.66/5.91 @ ( ap @ c_2ETemporal__Logic_2EBEFORE
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V6t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V0a @ V6t ) ) @ ( ap @ V1b @ V6t ) ) ) )
% 5.66/5.91 @ V2c )
% 5.66/5.91 = ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V7t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2EBEFORE @ V0a ) @ V2c ) @ V7t ) ) @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2EBEFORE @ V1b ) @ V2c ) @ V7t ) ) ) )
% 5.66/5.91 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2EBEFORE @ V0a )
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V8t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V1b @ V8t ) ) @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ V2c ) @ V8t ) ) ) )
% 5.66/5.91 = ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V9t: $i] :
% 5.66/5.91 ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ c_2Ebool_2E_7E @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V1b @ V9t ) ) @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ V2c ) @ V9t ) ) ) )
% 5.66/5.91 @ ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V0a @ V9t ) )
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap @ ( ap @ c_2ETemporal__Logic_2EBEFORE @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V0a ) )
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V10t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V2c @ V10t ) ) @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V1b ) @ V10t ) ) ) )
% 5.66/5.91 @ V9t ) ) ) ) )
% 5.66/5.91 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2EBEFORE @ V0a )
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V11t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V1b @ V11t ) ) @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSNEXT @ V2c ) @ V11t ) ) ) )
% 5.66/5.91 = ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V12t: $i] :
% 5.66/5.91 ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ c_2Ebool_2E_7E @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V1b @ V12t ) ) @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSNEXT @ V2c ) @ V12t ) ) ) )
% 5.66/5.91 @ ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V0a @ V12t ) )
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap @ ( ap @ c_2ETemporal__Logic_2EBEFORE @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V0a ) )
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V13t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V2c @ V13t ) ) @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V1b ) @ V13t ) ) ) )
% 5.66/5.91 @ V12t ) ) ) ) )
% 5.66/5.91 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2EBEFORE @ V0a )
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V14t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V1b @ V14t ) ) @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSUNTIL @ V2c ) @ V3d ) @ V14t ) ) ) )
% 5.66/5.91 = ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V15t: $i] :
% 5.66/5.91 ( ap
% 5.66/5.91 @ ( ap @ c_2Ebool_2E_2F_5C
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap @ c_2Ebool_2E_5C_2F
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap @ c_2EPast__Temporal__Logic_2EPBEFORE
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V16t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V2c @ V16t ) ) ) )
% 5.66/5.91 @ V3d )
% 5.66/5.91 @ V15t ) )
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap @ c_2ETemporal__Logic_2EBEFORE
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V17t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V0a @ V17t ) ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V2c ) @ V17t ) ) ) ) )
% 5.66/5.91 @ V1b )
% 5.66/5.91 @ V15t ) ) )
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap @ ( ap @ c_2ETemporal__Logic_2EBEFORE @ V0a )
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V18t: $i] :
% 5.66/5.91 ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V3d @ V18t ) )
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap @ c_2ETemporal__Logic_2ESUNTIL
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V19t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V19t ) ) ) @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V2c ) @ V19t ) ) ) )
% 5.66/5.91 @ V1b )
% 5.66/5.91 @ V18t ) ) ) )
% 5.66/5.91 @ V15t ) ) ) )
% 5.66/5.91 & ( ( ap @ ( ap @ c_2ETemporal__Logic_2EBEFORE @ V0a )
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V20t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V1b @ V20t ) ) @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPBEFORE @ V2c ) @ V3d ) @ V20t ) ) ) )
% 5.66/5.91 = ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V21t: $i] :
% 5.66/5.91 ( ap
% 5.66/5.91 @ ( ap @ c_2Ebool_2E_2F_5C
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap @ c_2Ebool_2E_5C_2F
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap @ c_2EPast__Temporal__Logic_2EPSUNTIL
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V22t: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ V2c @ V22t ) ) ) )
% 5.66/5.91 @ V3d )
% 5.66/5.91 @ V21t ) )
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap @ c_2ETemporal__Logic_2EBEFORE
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V23t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V0a @ V23t ) ) @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V3d ) @ V23t ) ) ) )
% 5.66/5.91 @ V1b )
% 5.66/5.91 @ V21t ) ) )
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap @ ( ap @ c_2ETemporal__Logic_2EBEFORE @ V0a )
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V24t: $i] :
% 5.66/5.91 ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V2c @ V24t ) )
% 5.66/5.91 @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V3d @ V24t ) ) )
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap @ c_2ETemporal__Logic_2ESUNTIL
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V25t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V25t ) ) ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V3d ) @ V25t ) ) ) ) )
% 5.66/5.91 @ V1b )
% 5.66/5.91 @ V24t ) ) ) ) )
% 5.66/5.91 @ V21t ) ) ) )
% 5.66/5.91 & ( ( ap
% 5.66/5.91 @ ( ap @ c_2ETemporal__Logic_2EBEFORE
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V26t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V26t ) ) @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ V1b ) @ V26t ) ) ) )
% 5.66/5.91 @ V2c )
% 5.66/5.91 = ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V27t: $i] :
% 5.66/5.91 ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V2c @ V27t ) ) ) @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V27t ) ) @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ V1b ) @ V27t ) ) ) )
% 5.66/5.91 @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V2c @ V27t ) ) )
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap @ c_2ETemporal__Logic_2EBEFORE
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V28t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V1b @ V28t ) ) @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V0a ) @ V28t ) ) ) )
% 5.66/5.91 @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V2c ) )
% 5.66/5.91 @ V27t ) ) ) ) )
% 5.66/5.91 & ( ( ap
% 5.66/5.91 @ ( ap @ c_2ETemporal__Logic_2EBEFORE
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V29t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V29t ) ) @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSNEXT @ V1b ) @ V29t ) ) ) )
% 5.66/5.91 @ V2c )
% 5.66/5.91 = ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V30t: $i] :
% 5.66/5.91 ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V2c @ V30t ) ) ) @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V30t ) ) @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSNEXT @ V1b ) @ V30t ) ) ) )
% 5.66/5.91 @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V2c @ V30t ) ) )
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap @ c_2ETemporal__Logic_2EBEFORE
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V31t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V1b @ V31t ) ) @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V0a ) @ V31t ) ) ) )
% 5.66/5.91 @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V2c ) )
% 5.66/5.91 @ V30t ) ) ) ) )
% 5.66/5.91 & ( ( ap
% 5.66/5.91 @ ( ap @ c_2ETemporal__Logic_2EBEFORE
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V32t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V32t ) ) @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPBEFORE @ V1b ) @ V2c ) @ V32t ) ) ) )
% 5.66/5.91 @ V3d )
% 5.66/5.91 = ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V33t: $i] :
% 5.66/5.91 ( ap
% 5.66/5.91 @ ( ap @ c_2Ebool_2E_5C_2F
% 5.66/5.91 @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPBEFORE @ V1b ) @ V2c ) @ V33t ) )
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap @ c_2ETemporal__Logic_2ESUNTIL
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V34t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V3d @ V34t ) ) ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V2c ) @ V34t ) ) ) ) )
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V35t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V35t ) ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V3d @ V35t ) ) ) ) )
% 5.66/5.91 @ V33t ) ) )
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap @ c_2ETemporal__Logic_2EBEFORE
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V36t: $i] :
% 5.66/5.91 ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V1b @ V36t ) )
% 5.66/5.91 @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V2c @ V36t ) ) )
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap @ c_2ETemporal__Logic_2ESUNTIL
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V37t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V3d @ V37t ) ) ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V2c ) @ V37t ) ) ) ) )
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V38t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V38t ) ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V3d @ V38t ) ) ) ) )
% 5.66/5.91 @ V36t ) ) ) ) )
% 5.66/5.91 @ V3d )
% 5.66/5.91 @ V33t ) ) ) )
% 5.66/5.91 & ( ( ap
% 5.66/5.91 @ ( ap @ c_2ETemporal__Logic_2EBEFORE
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V39t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V39t ) ) @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSUNTIL @ V1b ) @ V2c ) @ V39t ) ) ) )
% 5.66/5.91 @ V3d )
% 5.66/5.91 = ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V40t: $i] :
% 5.66/5.91 ( ap
% 5.66/5.91 @ ( ap @ c_2Ebool_2E_5C_2F
% 5.66/5.91 @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSUNTIL @ V1b ) @ V2c ) @ V40t ) )
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap @ c_2ETemporal__Logic_2ESUNTIL
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V41t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V3d @ V41t ) ) ) @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V1b ) @ V41t ) ) ) )
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V42t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V42t ) ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V3d @ V42t ) ) ) ) )
% 5.66/5.91 @ V40t ) ) )
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap @ c_2ETemporal__Logic_2EBEFORE
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V43t: $i] :
% 5.66/5.91 ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V2c @ V43t ) )
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap @ c_2ETemporal__Logic_2ESUNTIL
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V44t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V3d @ V44t ) ) ) @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V1b ) @ V44t ) ) ) )
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V45t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V45t ) ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V3d @ V45t ) ) ) ) )
% 5.66/5.91 @ V43t ) ) ) )
% 5.66/5.91 @ V3d )
% 5.66/5.91 @ V40t ) ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2EPast__Temporal__Logic_2ESEPARATE__PNEXT__THM,axiom,
% 5.66/5.91 ! [V0a: $i] :
% 5.66/5.91 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.91 => ! [V1b: $i] :
% 5.66/5.91 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.91 => ! [V2c: $i] :
% 5.66/5.91 ( ( mem @ V2c @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.91 => ( ( ( ap @ c_2EPast__Temporal__Logic_2EPNEXT
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V3t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V3t ) ) @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V1b ) @ V3t ) ) ) )
% 5.66/5.91 = ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V4t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ c_2EPast__Temporal__Logic_2EInitPoint @ V4t ) ) @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V1b @ V4t ) ) @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ V0a ) @ V4t ) ) ) ) )
% 5.66/5.91 & ( ( ap @ c_2EPast__Temporal__Logic_2EPNEXT
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V5t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V5t ) ) @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESUNTIL @ V1b ) @ V2c ) @ V5t ) ) ) )
% 5.66/5.91 = ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V6t: $i] :
% 5.66/5.91 ( ap
% 5.66/5.91 @ ( ap @ c_2Ebool_2E_5C_2F
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap @ c_2EPast__Temporal__Logic_2EPNEXT
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V7t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V7t ) ) @ ( ap @ V2c @ V7t ) ) ) )
% 5.66/5.91 @ V6t ) )
% 5.66/5.91 @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESUNTIL @ V1b ) @ V2c ) @ V6t ) )
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap @ c_2EPast__Temporal__Logic_2EPNEXT
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V8t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V8t ) ) @ ( ap @ V1b @ V8t ) ) ) )
% 5.66/5.91 @ V6t ) ) ) ) )
% 5.66/5.91 & ( ( ap @ c_2EPast__Temporal__Logic_2EPNEXT
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V9t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V9t ) ) @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2EBEFORE @ V1b ) @ V2c ) @ V9t ) ) ) )
% 5.66/5.91 = ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V10t: $i] :
% 5.66/5.91 ( ap
% 5.66/5.91 @ ( ap @ c_2Ebool_2E_5C_2F
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap @ c_2EPast__Temporal__Logic_2EPNEXT
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V11t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V11t ) ) @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V1b @ V11t ) ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V2c @ V11t ) ) ) ) ) )
% 5.66/5.91 @ V10t ) )
% 5.66/5.91 @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2EBEFORE @ V1b ) @ V2c ) @ V10t ) )
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap @ c_2EPast__Temporal__Logic_2EPNEXT
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V12t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V12t ) ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V2c @ V12t ) ) ) ) )
% 5.66/5.91 @ V10t ) ) ) ) )
% 5.66/5.91 & ( ( ap @ c_2EPast__Temporal__Logic_2EPNEXT
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V13t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V0a @ V13t ) ) @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V1b ) @ V13t ) ) ) )
% 5.66/5.91 = ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V14t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V1b @ V14t ) ) @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ V0a ) @ V14t ) ) ) )
% 5.66/5.91 & ( ( ap @ c_2EPast__Temporal__Logic_2EPNEXT
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V15t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V0a @ V15t ) ) @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESUNTIL @ V1b ) @ V2c ) @ V15t ) ) ) )
% 5.66/5.91 = ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V16t: $i] :
% 5.66/5.91 ( ap
% 5.66/5.91 @ ( ap @ c_2Ebool_2E_5C_2F
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap @ c_2EPast__Temporal__Logic_2EPNEXT
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V17t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V0a @ V17t ) ) @ ( ap @ V2c @ V17t ) ) ) )
% 5.66/5.91 @ V16t ) )
% 5.66/5.91 @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESUNTIL @ V1b ) @ V2c ) @ V16t ) ) @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ V1b ) @ V16t ) ) ) ) )
% 5.66/5.91 & ( ( ap @ c_2EPast__Temporal__Logic_2EPNEXT
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V18t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V0a @ V18t ) ) @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2EBEFORE @ V1b ) @ V2c ) @ V18t ) ) ) )
% 5.66/5.91 = ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V19t: $i] :
% 5.66/5.91 ( ap
% 5.66/5.91 @ ( ap @ c_2Ebool_2E_2F_5C
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap @ c_2EPast__Temporal__Logic_2EPNEXT
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V20t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V0a @ V20t ) ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V2c @ V20t ) ) ) ) )
% 5.66/5.91 @ V19t ) )
% 5.66/5.91 @ ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2EBEFORE @ V1b ) @ V2c ) @ V19t ) )
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap @ c_2EPast__Temporal__Logic_2EPNEXT
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V21t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V0a @ V21t ) ) @ ( ap @ V1b @ V21t ) ) ) )
% 5.66/5.91 @ V19t ) ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2EPast__Temporal__Logic_2ESEPARATE__PSUNTIL__THM,axiom,
% 5.66/5.91 ! [V0a: $i] :
% 5.66/5.91 ( ( mem @ V0a @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.91 => ! [V1b: $i] :
% 5.66/5.91 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.91 => ! [V2c: $i] :
% 5.66/5.91 ( ( mem @ V2c @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.91 => ! [V3d: $i] :
% 5.66/5.91 ( ( mem @ V3d @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.91 => ( ( ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSUNTIL @ V0a )
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V4t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V1b @ V4t ) ) @ ( ap @ V2c @ V4t ) ) ) )
% 5.66/5.91 = ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V5t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSUNTIL @ V0a ) @ V1b ) @ V5t ) ) @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSUNTIL @ V0a ) @ V2c ) @ V5t ) ) ) )
% 5.66/5.91 & ( ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSUNTIL @ V0a )
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V6t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V1b @ V6t ) ) @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V2c ) @ V6t ) ) ) )
% 5.66/5.91 = ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V7t: $i] :
% 5.66/5.91 ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V1b @ V7t ) ) @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V2c ) @ V7t ) ) )
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSUNTIL @ V0a )
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V8t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V8t ) ) @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V2c @ V8t ) ) @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSNEXT @ V1b ) @ V8t ) ) ) ) )
% 5.66/5.91 @ V7t ) ) ) )
% 5.66/5.91 & ( ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSUNTIL @ V0a )
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V9t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V1b @ V9t ) ) @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESUNTIL @ V2c ) @ V3d ) @ V9t ) ) ) )
% 5.66/5.91 = ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V10t: $i] :
% 5.66/5.91 ( ap
% 5.66/5.91 @ ( ap @ c_2Ebool_2E_5C_2F
% 5.66/5.91 @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESUNTIL @ V2c ) @ V3d ) @ V10t ) )
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap @ c_2EPast__Temporal__Logic_2EPSUNTIL
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V11t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V11t ) ) @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ V2c ) @ V11t ) ) ) )
% 5.66/5.91 @ V1b )
% 5.66/5.91 @ V10t ) ) )
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSUNTIL @ V0a )
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V12t: $i] :
% 5.66/5.91 ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V3d @ V12t ) )
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap @ c_2EPast__Temporal__Logic_2EPSUNTIL
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V13t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V13t ) ) @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ V2c ) @ V13t ) ) ) )
% 5.66/5.91 @ V1b )
% 5.66/5.91 @ V12t ) ) ) )
% 5.66/5.91 @ V10t ) ) ) )
% 5.66/5.91 & ( ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSUNTIL @ V0a )
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V14t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V1b @ V14t ) ) @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2EBEFORE @ V2c ) @ V3d ) @ V14t ) ) ) )
% 5.66/5.91 = ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V15t: $i] :
% 5.66/5.91 ( ap
% 5.66/5.91 @ ( ap @ c_2Ebool_2E_5C_2F
% 5.66/5.91 @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2EBEFORE @ V2c ) @ V3d ) @ V15t ) )
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap @ c_2EPast__Temporal__Logic_2EPSUNTIL
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V16t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V16t ) ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ V3d ) @ V16t ) ) ) ) )
% 5.66/5.91 @ V1b )
% 5.66/5.91 @ V15t ) ) )
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSUNTIL @ V0a )
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V17t: $i] :
% 5.66/5.91 ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V2c @ V17t ) )
% 5.66/5.91 @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V3d @ V17t ) ) )
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap @ c_2EPast__Temporal__Logic_2EPSUNTIL
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V18t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V18t ) ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ V3d ) @ V18t ) ) ) ) )
% 5.66/5.91 @ V1b )
% 5.66/5.91 @ V17t ) ) ) ) )
% 5.66/5.91 @ V15t ) ) ) )
% 5.66/5.91 & ( ( ap
% 5.66/5.91 @ ( ap @ c_2EPast__Temporal__Logic_2EPSUNTIL
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V19t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0a @ V19t ) ) @ ( ap @ V1b @ V19t ) ) ) )
% 5.66/5.91 @ V2c )
% 5.66/5.91 = ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V20t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSUNTIL @ V0a ) @ V2c ) @ V20t ) ) @ ( ap @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSUNTIL @ V1b ) @ V2c ) @ V20t ) ) ) )
% 5.66/5.91 & ( ( ap
% 5.66/5.91 @ ( ap @ c_2EPast__Temporal__Logic_2EPSUNTIL
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V21t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V0a @ V21t ) ) @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V1b ) @ V21t ) ) ) )
% 5.66/5.91 @ V2c )
% 5.66/5.91 = ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V22t: $i] :
% 5.66/5.91 ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V2c @ V22t ) )
% 5.66/5.91 @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V0a @ V22t ) ) @ ( ap @ ( ap @ c_2ETemporal__Logic_2ENEXT @ V1b ) @ V22t ) ) )
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap @ c_2EPast__Temporal__Logic_2EPSUNTIL
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V23t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V1b @ V23t ) ) @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ V0a ) @ V23t ) ) ) )
% 5.66/5.91 @ ( ap @ c_2EPast__Temporal__Logic_2EPSNEXT @ V2c ) )
% 5.66/5.91 @ V22t ) ) ) ) )
% 5.66/5.91 & ( ( ap
% 5.66/5.91 @ ( ap @ c_2EPast__Temporal__Logic_2EPSUNTIL
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V24t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V0a @ V24t ) ) @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESUNTIL @ V1b ) @ V2c ) @ V24t ) ) ) )
% 5.66/5.91 @ V3d )
% 5.66/5.91 = ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V25t: $i] :
% 5.66/5.91 ( ap
% 5.66/5.91 @ ( ap @ c_2Ebool_2E_2F_5C
% 5.66/5.91 @ ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2ESUNTIL @ V1b ) @ V2c ) @ V25t ) )
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap @ c_2EPast__Temporal__Logic_2EPBEFORE
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V26t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V3d @ V26t ) ) @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ V2c ) @ V26t ) ) ) )
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V27t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V27t ) ) ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V3d @ V27t ) ) ) ) )
% 5.66/5.91 @ V25t ) ) )
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap @ c_2EPast__Temporal__Logic_2EPSUNTIL
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V28t: $i] :
% 5.66/5.91 ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V1b @ V28t ) )
% 5.66/5.91 @ ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V2c @ V28t ) )
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap @ c_2EPast__Temporal__Logic_2EPBEFORE
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V29t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V3d @ V29t ) ) @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPNEXT @ V2c ) @ V29t ) ) ) )
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V30t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V30t ) ) ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V3d @ V30t ) ) ) ) )
% 5.66/5.91 @ V28t ) ) ) ) )
% 5.66/5.91 @ V3d )
% 5.66/5.91 @ V25t ) ) ) )
% 5.66/5.91 & ( ( ap
% 5.66/5.91 @ ( ap @ c_2EPast__Temporal__Logic_2EPSUNTIL
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V31t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V0a @ V31t ) ) @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2EBEFORE @ V1b ) @ V2c ) @ V31t ) ) ) )
% 5.66/5.91 @ V3d )
% 5.66/5.91 = ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V32t: $i] :
% 5.66/5.91 ( ap
% 5.66/5.91 @ ( ap @ c_2Ebool_2E_2F_5C
% 5.66/5.91 @ ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ ( ap @ ( ap @ c_2ETemporal__Logic_2EBEFORE @ V1b ) @ V2c ) @ V32t ) )
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap @ c_2EPast__Temporal__Logic_2EPBEFORE
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V33t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V3d @ V33t ) ) @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSNEXT @ V1b ) @ V33t ) ) ) )
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V34t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V34t ) ) ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V3d @ V34t ) ) ) ) )
% 5.66/5.91 @ V32t ) ) )
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap @ c_2EPast__Temporal__Logic_2EPSUNTIL
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V35t: $i] :
% 5.66/5.91 ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V2c @ V35t ) ) )
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap @ c_2EPast__Temporal__Logic_2EPBEFORE
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V36t: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ V3d @ V36t ) ) @ ( ap @ ( ap @ c_2EPast__Temporal__Logic_2EPSNEXT @ V1b ) @ V36t ) ) ) )
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V37t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V0a @ V37t ) ) ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ V3d @ V37t ) ) ) ) )
% 5.66/5.91 @ V35t ) ) ) )
% 5.66/5.91 @ V3d )
% 5.66/5.91 @ V32t ) ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 %------------------------------------------------------------------------------
% 5.66/5.91 %------------------------------------------------------------------------------
% 5.66/5.91 thf(tp_c_2EprimeFactor_2EPRIME__FACTORS,type,
% 5.66/5.91 c_2EprimeFactor_2EPRIME__FACTORS: $i ).
% 5.66/5.91
% 5.66/5.91 thf(mem_c_2EprimeFactor_2EPRIME__FACTORS,axiom,
% 5.66/5.91 mem @ c_2EprimeFactor_2EPRIME__FACTORS @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(stp_fo_c_2EprimeFactor_2EPRIME__FACTORS,type,
% 5.66/5.91 fo__c_2EprimeFactor_2EPRIME__FACTORS: tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum ).
% 5.66/5.91
% 5.66/5.91 thf(stp_eq_fo_c_2EprimeFactor_2EPRIME__FACTORS,axiom,
% 5.66/5.91 ! [X0: tp__ty_2Enum_2Enum,X1: tp__ty_2Enum_2Enum] :
% 5.66/5.91 ( ( inj__ty_2Enum_2Enum @ ( fo__c_2EprimeFactor_2EPRIME__FACTORS @ X0 @ X1 ) )
% 5.66/5.91 = ( ap @ ( ap @ c_2EprimeFactor_2EPRIME__FACTORS @ ( inj__ty_2Enum_2Enum @ X0 ) ) @ ( inj__ty_2Enum_2Enum @ X1 ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2EprimeFactor_2EPRIME__FACTORS__EXIST,axiom,
% 5.66/5.91 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.66/5.91 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.66/5.91 => ? [V1b: $i] :
% 5.66/5.91 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.66/5.91 & ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ ty_2Enum_2Enum ) @ V1b ) )
% 5.66/5.91 & ! [V2m: tp__ty_2Enum_2Enum] :
% 5.66/5.91 ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__IN @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V2m ) ) @ V1b ) )
% 5.66/5.91 => ( p @ ( ap @ c_2Edivides_2Eprime @ ( inj__ty_2Enum_2Enum @ V2m ) ) ) )
% 5.66/5.91 & ( V0n
% 5.66/5.91 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Ebag_2EBAG__GEN__PROD @ V1b ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(ax_thm_2EprimeFactor_2EPRIME__FACTORS__def,axiom,
% 5.66/5.91 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.66/5.91 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.66/5.91 => ( ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ ty_2Enum_2Enum ) @ ( ap @ c_2EprimeFactor_2EPRIME__FACTORS @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) )
% 5.66/5.91 & ! [V1m: tp__ty_2Enum_2Enum] :
% 5.66/5.91 ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__IN @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( ap @ c_2EprimeFactor_2EPRIME__FACTORS @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) )
% 5.66/5.91 => ( p @ ( ap @ c_2Edivides_2Eprime @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) )
% 5.66/5.91 & ( V0n
% 5.66/5.91 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Ebag_2EBAG__GEN__PROD @ ( ap @ c_2EprimeFactor_2EPRIME__FACTORS @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2EprimeFactor_2EUNIQUE__PRIME__FACTORS,axiom,
% 5.66/5.91 ! [V0n: tp__ty_2Enum_2Enum,V1b1: $i] :
% 5.66/5.91 ( ( mem @ V1b1 @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.66/5.91 => ! [V2b2: $i] :
% 5.66/5.91 ( ( mem @ V2b2 @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.66/5.91 => ( ( ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ ty_2Enum_2Enum ) @ V1b1 ) )
% 5.66/5.91 & ! [V3m: tp__ty_2Enum_2Enum] :
% 5.66/5.91 ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__IN @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V3m ) ) @ V1b1 ) )
% 5.66/5.91 => ( p @ ( ap @ c_2Edivides_2Eprime @ ( inj__ty_2Enum_2Enum @ V3m ) ) ) )
% 5.66/5.91 & ( V0n
% 5.66/5.91 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Ebag_2EBAG__GEN__PROD @ V1b1 ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.66/5.91 & ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ ty_2Enum_2Enum ) @ V2b2 ) )
% 5.66/5.91 & ! [V4m: tp__ty_2Enum_2Enum] :
% 5.66/5.91 ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__IN @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V4m ) ) @ V2b2 ) )
% 5.66/5.91 => ( p @ ( ap @ c_2Edivides_2Eprime @ ( inj__ty_2Enum_2Enum @ V4m ) ) ) )
% 5.66/5.91 & ( V0n
% 5.66/5.91 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Ebag_2EBAG__GEN__PROD @ V2b2 ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.66/5.91 => ( V1b1 = V2b2 ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2EprimeFactor_2EPRIME__FACTORIZATION,axiom,
% 5.66/5.91 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.66/5.91 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.66/5.91 => ! [V1b: $i] :
% 5.66/5.91 ( ( mem @ V1b @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.66/5.91 => ( ( ( p @ ( ap @ ( c_2Ebag_2EFINITE__BAG @ ty_2Enum_2Enum ) @ V1b ) )
% 5.66/5.91 & ! [V2x: tp__ty_2Enum_2Enum] :
% 5.66/5.91 ( ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__IN @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V2x ) ) @ V1b ) )
% 5.66/5.91 => ( p @ ( ap @ c_2Edivides_2Eprime @ ( inj__ty_2Enum_2Enum @ V2x ) ) ) )
% 5.66/5.91 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Ebag_2EBAG__GEN__PROD @ V1b ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.66/5.91 = V0n ) )
% 5.66/5.91 => ( V1b
% 5.66/5.91 = ( ap @ c_2EprimeFactor_2EPRIME__FACTORS @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2EprimeFactor_2EPRIME__FACTORS__1,axiom,
% 5.66/5.91 ( ( ap @ c_2EprimeFactor_2EPRIME__FACTORS @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) )
% 5.66/5.91 = ( c_2Ebag_2EEMPTY__BAG @ ty_2Enum_2Enum ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2EprimeFactor_2EPRIME__FACTOR__DIVIDES,axiom,
% 5.66/5.91 ! [V0x: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.66/5.91 ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.66/5.91 & ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__IN @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( ap @ c_2EprimeFactor_2EPRIME__FACTORS @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) )
% 5.66/5.91 => ( p @ ( ap @ ( ap @ c_2Edivides_2Edivides @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2EprimeFactor_2EDIVISOR__IN__PRIME__FACTORS,axiom,
% 5.66/5.91 ! [V0p: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.66/5.91 ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.66/5.91 & ( p @ ( ap @ c_2Edivides_2Eprime @ ( inj__ty_2Enum_2Enum @ V0p ) ) )
% 5.66/5.91 & ( p @ ( ap @ ( ap @ c_2Edivides_2Edivides @ ( inj__ty_2Enum_2Enum @ V0p ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.66/5.91 => ( p @ ( ap @ ( ap @ ( c_2Ebag_2EBAG__IN @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V0p ) ) @ ( ap @ c_2EprimeFactor_2EPRIME__FACTORS @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2EprimeFactor_2EPRIME__FACTORS__MULT,axiom,
% 5.66/5.91 ! [V0a: tp__ty_2Enum_2Enum,V1b: tp__ty_2Enum_2Enum] :
% 5.66/5.91 ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0a ) ) )
% 5.66/5.91 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) ) )
% 5.66/5.91 => ( ( ap @ c_2EprimeFactor_2EPRIME__FACTORS @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) )
% 5.66/5.91 = ( ap @ ( ap @ ( c_2Ebag_2EBAG__UNION @ ty_2Enum_2Enum ) @ ( ap @ c_2EprimeFactor_2EPRIME__FACTORS @ ( inj__ty_2Enum_2Enum @ V0a ) ) ) @ ( ap @ c_2EprimeFactor_2EPRIME__FACTORS @ ( inj__ty_2Enum_2Enum @ V1b ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2EprimeFactor_2EFACTORS__prime,axiom,
% 5.66/5.91 ! [V0p: tp__ty_2Enum_2Enum] :
% 5.66/5.91 ( ( p @ ( ap @ c_2Edivides_2Eprime @ ( inj__ty_2Enum_2Enum @ V0p ) ) )
% 5.66/5.91 => ( ( ap @ c_2EprimeFactor_2EPRIME__FACTORS @ ( inj__ty_2Enum_2Enum @ V0p ) )
% 5.66/5.91 = ( ap @ ( ap @ ( c_2Ebag_2EBAG__INSERT @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V0p ) ) @ ( c_2Ebag_2EEMPTY__BAG @ ty_2Enum_2Enum ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2EprimeFactor_2EPRIME__FACTORS__EXP,axiom,
% 5.66/5.91 ! [V0p: tp__ty_2Enum_2Enum,V1e: tp__ty_2Enum_2Enum] :
% 5.66/5.91 ( ( p @ ( ap @ c_2Edivides_2Eprime @ ( inj__ty_2Enum_2Enum @ V0p ) ) )
% 5.66/5.91 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2EprimeFactor_2EPRIME__FACTORS @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( inj__ty_2Enum_2Enum @ V0p ) ) @ ( inj__ty_2Enum_2Enum @ V1e ) ) ) @ ( inj__ty_2Enum_2Enum @ V0p ) ) )
% 5.66/5.91 = V1e ) ) ).
% 5.66/5.91
% 5.66/5.91 %------------------------------------------------------------------------------
% 5.66/5.91 %------------------------------------------------------------------------------
% 5.66/5.91 thf(tp_c_2Ebft_2EBFT,type,
% 5.66/5.91 c_2Ebft_2EBFT: del > del > $i ).
% 5.66/5.91
% 5.66/5.91 thf(mem_c_2Ebft_2EBFT,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Ebft_2EBFT @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27b @ ( ty_2Elist_2Elist @ A_27b ) ) @ ( arr @ ( arr @ A_27b @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ ( ty_2Elist_2Elist @ A_27b ) @ ( arr @ ( ty_2Elist_2Elist @ A_27b ) @ ( arr @ A_27a @ A_27a ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(tp_c_2Ebft_2ERel,type,
% 5.66/5.91 c_2Ebft_2ERel: del > del > del > del > del > $i ).
% 5.66/5.91
% 5.66/5.91 thf(mem_c_2Ebft_2ERel,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,A_27e: del] : ( mem @ ( c_2Ebft_2ERel @ A_27a @ A_27b @ A_27c @ A_27d @ A_27e ) @ ( arr @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ ( ty_2Elist_2Elist @ A_27b ) ) @ ( ty_2Epair_2Eprod @ A_27c @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27d ) @ A_27e ) ) ) ) @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(ax_thm_2Ebft_2ERel__def,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,A_27e: del,V0G: $i] :
% 5.66/5.91 ( ( mem @ V0G @ ( arr @ A_27a @ ( ty_2Elist_2Elist @ A_27b ) ) )
% 5.66/5.91 => ! [V1f: $i] :
% 5.66/5.91 ( ( mem @ V1f @ A_27c )
% 5.66/5.91 => ! [V2seen: $i] :
% 5.66/5.91 ( ( mem @ V2seen @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.91 => ! [V3fringe: $i] :
% 5.66/5.91 ( ( mem @ V3fringe @ ( ty_2Elist_2Elist @ A_27d ) )
% 5.66/5.91 => ! [V4acc: $i] :
% 5.66/5.91 ( ( mem @ V4acc @ A_27e )
% 5.66/5.91 => ( ( surj__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum @ ( ap @ ( c_2Ebft_2ERel @ A_27a @ A_27b @ A_27c @ A_27d @ A_27e ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( arr @ A_27a @ ( ty_2Elist_2Elist @ A_27b ) ) @ ( ty_2Epair_2Eprod @ A_27c @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27d ) @ A_27e ) ) ) ) @ V0G ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27c @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27d ) @ A_27e ) ) ) @ V1f ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27d ) @ A_27e ) ) @ V2seen ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27d ) @ A_27e ) @ V3fringe ) @ V4acc ) ) ) ) ) )
% 5.66/5.91 = ( surj__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDIFF @ A_27a ) @ ( ap @ ( c_2EdirGraph_2EParents @ A_27a @ A_27b ) @ V0G ) ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V2seen ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27d ) @ V3fringe ) ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Ebft_2EBFT__def,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0G: $i] :
% 5.66/5.91 ( ( mem @ V0G @ ( arr @ A_27a @ ( ty_2Elist_2Elist @ A_27a ) ) )
% 5.66/5.91 => ! [V1f: $i] :
% 5.66/5.91 ( ( mem @ V1f @ ( arr @ A_27a @ ( arr @ A_27b @ A_27b ) ) )
% 5.66/5.91 => ! [V2seen: $i] :
% 5.66/5.91 ( ( mem @ V2seen @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.91 => ! [V3acc: $i] :
% 5.66/5.91 ( ( mem @ V3acc @ A_27b )
% 5.66/5.91 => ! [V4h: $i] :
% 5.66/5.91 ( ( mem @ V4h @ A_27a )
% 5.66/5.91 => ! [V5t: $i] :
% 5.66/5.91 ( ( mem @ V5t @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.91 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ ( ap @ ( c_2EdirGraph_2EParents @ A_27a @ A_27a ) @ V0G ) ) )
% 5.66/5.91 => ( ( ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Ebft_2EBFT @ A_27b @ A_27a ) @ V0G ) @ V1f ) @ V2seen ) @ ( c_2Elist_2ENIL @ A_27a ) ) @ V3acc )
% 5.66/5.91 = V3acc )
% 5.66/5.91 & ( ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Ebft_2EBFT @ A_27b @ A_27a ) @ V0G ) @ V1f ) @ V2seen ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4h ) @ V5t ) ) @ V3acc )
% 5.66/5.91 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ A_27b ) @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V4h ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V2seen ) ) ) @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Ebft_2EBFT @ A_27b @ A_27a ) @ V0G ) @ V1f ) @ V2seen ) @ V5t ) @ V3acc ) ) @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Ebft_2EBFT @ A_27b @ A_27a ) @ V0G ) @ V1f ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4h ) @ V2seen ) ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V5t ) @ ( ap @ V0G @ V4h ) ) ) @ ( ap @ ( ap @ V1f @ V4h ) @ V3acc ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Ebft_2EBFT__ind,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.66/5.91 ( ( mem @ V0P @ ( arr @ ( arr @ A_27a @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27b @ A_27b ) ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ A_27b @ bool ) ) ) ) ) )
% 5.66/5.91 => ( ! [V1G: $i] :
% 5.66/5.91 ( ( mem @ V1G @ ( arr @ A_27a @ ( ty_2Elist_2Elist @ A_27a ) ) )
% 5.66/5.91 => ! [V2f: $i] :
% 5.66/5.91 ( ( mem @ V2f @ ( arr @ A_27a @ ( arr @ A_27b @ A_27b ) ) )
% 5.66/5.91 => ! [V3seen: $i] :
% 5.66/5.91 ( ( mem @ V3seen @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.91 => ! [V4h: $i] :
% 5.66/5.91 ( ( mem @ V4h @ A_27a )
% 5.66/5.91 => ! [V5t: $i] :
% 5.66/5.91 ( ( mem @ V5t @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.91 => ! [V6acc: $i] :
% 5.66/5.91 ( ( mem @ V6acc @ A_27b )
% 5.66/5.91 => ( ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ V0P @ V1G ) @ V2f ) @ V3seen ) @ ( c_2Elist_2ENIL @ A_27a ) ) @ V6acc ) )
% 5.66/5.91 & ( ( ( ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ ( ap @ ( c_2EdirGraph_2EParents @ A_27a @ A_27a ) @ V1G ) ) )
% 5.66/5.91 & ~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V4h ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V3seen ) ) ) )
% 5.66/5.91 => ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ V0P @ V1G ) @ V2f ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4h ) @ V3seen ) ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V5t ) @ ( ap @ V1G @ V4h ) ) ) @ ( ap @ ( ap @ V2f @ V4h ) @ V6acc ) ) ) )
% 5.66/5.91 & ( ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ ( ap @ ( c_2EdirGraph_2EParents @ A_27a @ A_27a ) @ V1G ) ) )
% 5.66/5.91 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V4h ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V3seen ) ) ) )
% 5.66/5.91 => ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ V0P @ V1G ) @ V2f ) @ V3seen ) @ V5t ) @ V6acc ) ) ) )
% 5.66/5.91 => ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ V0P @ V1G ) @ V2f ) @ V3seen ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4h ) @ V5t ) ) @ V6acc ) ) ) ) ) ) ) ) ) )
% 5.66/5.91 => ! [V7v: $i] :
% 5.66/5.91 ( ( mem @ V7v @ ( arr @ A_27a @ ( ty_2Elist_2Elist @ A_27a ) ) )
% 5.66/5.91 => ! [V8v1: $i] :
% 5.66/5.91 ( ( mem @ V8v1 @ ( arr @ A_27a @ ( arr @ A_27b @ A_27b ) ) )
% 5.66/5.91 => ! [V9v2: $i] :
% 5.66/5.91 ( ( mem @ V9v2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.91 => ! [V10v3: $i] :
% 5.66/5.91 ( ( mem @ V10v3 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.91 => ! [V11v4: $i] :
% 5.66/5.91 ( ( mem @ V11v4 @ A_27b )
% 5.66/5.91 => ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ V0P @ V7v ) @ V8v1 ) @ V9v2 ) @ V10v3 ) @ V11v4 ) ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Ebft_2EBFT__CONS,axiom,
% 5.66/5.91 ! [A_27a: del,V0G: $i] :
% 5.66/5.91 ( ( mem @ V0G @ ( arr @ A_27a @ ( ty_2Elist_2Elist @ A_27a ) ) )
% 5.66/5.91 => ! [V1f: $i] :
% 5.66/5.91 ( ( mem @ V1f @ ( arr @ A_27a @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) ) )
% 5.66/5.91 => ! [V2seen: $i] :
% 5.66/5.91 ( ( mem @ V2seen @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.91 => ! [V3fringe: $i] :
% 5.66/5.91 ( ( mem @ V3fringe @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.91 => ! [V4acc: $i] :
% 5.66/5.91 ( ( mem @ V4acc @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.91 => ! [V5a: $i] :
% 5.66/5.91 ( ( mem @ V5a @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.91 => ! [V6b: $i] :
% 5.66/5.91 ( ( mem @ V6b @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.91 => ( ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ ( ap @ ( c_2EdirGraph_2EParents @ A_27a @ A_27a ) @ V0G ) ) )
% 5.66/5.91 & ( V1f
% 5.66/5.91 = ( c_2Elist_2ECONS @ A_27a ) )
% 5.66/5.91 & ( V4acc
% 5.66/5.91 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V5a ) @ V6b ) ) )
% 5.66/5.91 => ( ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Ebft_2EBFT @ ( ty_2Elist_2Elist @ A_27a ) @ A_27a ) @ V0G ) @ V1f ) @ V2seen ) @ V3fringe ) @ V4acc )
% 5.66/5.91 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Ebft_2EBFT @ ( ty_2Elist_2Elist @ A_27a ) @ A_27a ) @ V0G ) @ V1f ) @ V2seen ) @ V3fringe ) @ V5a ) ) @ V6b ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Ebft_2EBFT__FOLD,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0G: $i] :
% 5.66/5.91 ( ( mem @ V0G @ ( arr @ A_27a @ ( ty_2Elist_2Elist @ A_27a ) ) )
% 5.66/5.91 => ! [V1f: $i] :
% 5.66/5.91 ( ( mem @ V1f @ ( arr @ A_27a @ ( arr @ A_27b @ A_27b ) ) )
% 5.66/5.91 => ! [V2seen: $i] :
% 5.66/5.91 ( ( mem @ V2seen @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.91 => ! [V3fringe: $i] :
% 5.66/5.91 ( ( mem @ V3fringe @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.91 => ! [V4acc: $i] :
% 5.66/5.91 ( ( mem @ V4acc @ A_27b )
% 5.66/5.91 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ ( ap @ ( c_2EdirGraph_2EParents @ A_27a @ A_27a ) @ V0G ) ) )
% 5.66/5.91 => ( ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Ebft_2EBFT @ A_27b @ A_27a ) @ V0G ) @ V1f ) @ V2seen ) @ V3fringe ) @ V4acc )
% 5.66/5.91 = ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDR @ A_27a @ A_27b ) @ V1f ) @ V4acc ) @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Ebft_2EBFT @ ( ty_2Elist_2Elist @ A_27a ) @ A_27a ) @ V0G ) @ ( c_2Elist_2ECONS @ A_27a ) ) @ V2seen ) @ V3fringe ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Ebft_2EBFT__ALL__DISTINCT,axiom,
% 5.66/5.91 ! [A_27a: del,V0G: $i] :
% 5.66/5.91 ( ( mem @ V0G @ ( arr @ A_27a @ ( ty_2Elist_2Elist @ A_27a ) ) )
% 5.66/5.91 => ! [V1seen: $i] :
% 5.66/5.91 ( ( mem @ V1seen @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.91 => ! [V2fringe: $i] :
% 5.66/5.91 ( ( mem @ V2fringe @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.91 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ ( ap @ ( c_2EdirGraph_2EParents @ A_27a @ A_27a ) @ V0G ) ) )
% 5.66/5.91 => ( p @ ( ap @ ( c_2Elist_2EALL__DISTINCT @ A_27a ) @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Ebft_2EBFT @ ( ty_2Elist_2Elist @ A_27a ) @ A_27a ) @ V0G ) @ ( c_2Elist_2ECONS @ A_27a ) ) @ V1seen ) @ V2fringe ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Ebft_2EBFT__REACH__1,axiom,
% 5.66/5.91 ! [A_27a: del,V0G: $i] :
% 5.66/5.91 ( ( mem @ V0G @ ( arr @ A_27a @ ( ty_2Elist_2Elist @ A_27a ) ) )
% 5.66/5.91 => ! [V1f: $i] :
% 5.66/5.91 ( ( mem @ V1f @ ( arr @ A_27a @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) ) )
% 5.66/5.91 => ! [V2seen: $i] :
% 5.66/5.91 ( ( mem @ V2seen @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.91 => ! [V3fringe: $i] :
% 5.66/5.91 ( ( mem @ V3fringe @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.91 => ! [V4acc: $i] :
% 5.66/5.91 ( ( mem @ V4acc @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.91 => ( ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ ( ap @ ( c_2EdirGraph_2EParents @ A_27a @ A_27a ) @ V0G ) ) )
% 5.66/5.91 & ( V1f
% 5.66/5.91 = ( c_2Elist_2ECONS @ A_27a ) ) )
% 5.66/5.91 => ! [V5x: $i] :
% 5.66/5.91 ( ( mem @ V5x @ A_27a )
% 5.66/5.91 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V5x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Ebft_2EBFT @ ( ty_2Elist_2Elist @ A_27a ) @ A_27a ) @ V0G ) @ V1f ) @ V2seen ) @ V3fringe ) @ V4acc ) ) ) )
% 5.66/5.91 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V5x ) @ ( ap @ ( ap @ ( c_2EdirGraph_2EREACH__LIST @ A_27a ) @ V0G ) @ V3fringe ) ) )
% 5.66/5.91 | ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V5x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V4acc ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Ebft_2EBFT__REACH__2,axiom,
% 5.66/5.91 ! [A_27a: del,V0G: $i] :
% 5.66/5.91 ( ( mem @ V0G @ ( arr @ A_27a @ ( ty_2Elist_2Elist @ A_27a ) ) )
% 5.66/5.91 => ! [V1f: $i] :
% 5.66/5.91 ( ( mem @ V1f @ ( arr @ A_27a @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) ) )
% 5.66/5.91 => ! [V2seen: $i] :
% 5.66/5.91 ( ( mem @ V2seen @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.91 => ! [V3fringe: $i] :
% 5.66/5.91 ( ( mem @ V3fringe @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.91 => ! [V4acc: $i] :
% 5.66/5.91 ( ( mem @ V4acc @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.91 => ! [V5x: $i] :
% 5.66/5.91 ( ( mem @ V5x @ A_27a )
% 5.66/5.91 => ( ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ ( ap @ ( c_2EdirGraph_2EParents @ A_27a @ A_27a ) @ V0G ) ) )
% 5.66/5.91 & ( V1f
% 5.66/5.91 = ( c_2Elist_2ECONS @ A_27a ) )
% 5.66/5.91 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V5x ) @ ( ap @ ( ap @ ( c_2EdirGraph_2EREACH__LIST @ A_27a ) @ ( ap @ ( ap @ ( c_2EdirGraph_2EEXCLUDE @ A_27a @ A_27a ) @ V0G ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V2seen ) ) ) @ V3fringe ) ) )
% 5.66/5.91 & ~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V5x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V2seen ) ) ) )
% 5.66/5.91 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V5x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Ebft_2EBFT @ ( ty_2Elist_2Elist @ A_27a ) @ A_27a ) @ V0G ) @ V1f ) @ V2seen ) @ V3fringe ) @ V4acc ) ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Ebft_2EBFT__REACH__THM,axiom,
% 5.66/5.91 ! [A_27a: del,V0G: $i] :
% 5.66/5.91 ( ( mem @ V0G @ ( arr @ A_27a @ ( ty_2Elist_2Elist @ A_27a ) ) )
% 5.66/5.91 => ! [V1fringe: $i] :
% 5.66/5.91 ( ( mem @ V1fringe @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.91 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ ( ap @ ( c_2EdirGraph_2EParents @ A_27a @ A_27a ) @ V0G ) ) )
% 5.66/5.91 => ! [V2x: $i] :
% 5.66/5.91 ( ( mem @ V2x @ A_27a )
% 5.66/5.91 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ ( ap @ ( ap @ ( c_2EdirGraph_2EREACH__LIST @ A_27a ) @ V0G ) @ V1fringe ) ) )
% 5.66/5.91 <=> ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Ebft_2EBFT @ ( ty_2Elist_2Elist @ A_27a ) @ A_27a ) @ V0G ) @ ( c_2Elist_2ECONS @ A_27a ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) @ V1fringe ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 %------------------------------------------------------------------------------
% 5.66/5.91 %------------------------------------------------------------------------------
% 5.66/5.91 thf(tp_ty_2Epath_2Epath,type,
% 5.66/5.91 ty_2Epath_2Epath: del > del > del ).
% 5.66/5.91
% 5.66/5.91 thf(tp_c_2Epath_2EPL,type,
% 5.66/5.91 c_2Epath_2EPL: del > del > $i ).
% 5.66/5.91
% 5.66/5.91 thf(mem_c_2Epath_2EPL,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Epath_2EPL @ A_27a @ A_27b ) @ ( arr @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) @ ( arr @ ty_2Enum_2Enum @ bool ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(tp_c_2Epath_2ESN,type,
% 5.66/5.91 c_2Epath_2ESN: del > del > $i ).
% 5.66/5.91
% 5.66/5.91 thf(mem_c_2Epath_2ESN,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Epath_2ESN @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27b @ ( arr @ A_27a @ bool ) ) ) @ bool ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(tp_c_2Epath_2Edrop,type,
% 5.66/5.91 c_2Epath_2Edrop: del > del > $i ).
% 5.66/5.91
% 5.66/5.91 thf(mem_c_2Epath_2Edrop,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Epath_2Edrop @ A_27a @ A_27b ) @ ( arr @ ty_2Enum_2Enum @ ( arr @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(tp_c_2Epath_2Eel,type,
% 5.66/5.91 c_2Epath_2Eel: del > del > $i ).
% 5.66/5.91
% 5.66/5.91 thf(mem_c_2Epath_2Eel,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Epath_2Eel @ A_27a @ A_27b ) @ ( arr @ ty_2Enum_2Enum @ ( arr @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) @ A_27a ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(tp_c_2Epath_2Eevery,type,
% 5.66/5.91 c_2Epath_2Eevery: del > del > $i ).
% 5.66/5.91
% 5.66/5.91 thf(mem_c_2Epath_2Eevery,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Epath_2Eevery @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) @ bool ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(tp_c_2Epath_2Eexists,type,
% 5.66/5.91 c_2Epath_2Eexists: del > del > $i ).
% 5.66/5.91
% 5.66/5.91 thf(mem_c_2Epath_2Eexists,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Epath_2Eexists @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) @ bool ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(tp_c_2Epath_2Efilter,type,
% 5.66/5.91 c_2Epath_2Efilter: del > del > $i ).
% 5.66/5.91
% 5.66/5.91 thf(mem_c_2Epath_2Efilter,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Epath_2Efilter @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(tp_c_2Epath_2Efinite,type,
% 5.66/5.91 c_2Epath_2Efinite: del > del > $i ).
% 5.66/5.91
% 5.66/5.91 thf(mem_c_2Epath_2Efinite,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Epath_2Efinite @ A_27a @ A_27b ) @ ( arr @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) @ bool ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(tp_c_2Epath_2Efirst,type,
% 5.66/5.91 c_2Epath_2Efirst: del > del > $i ).
% 5.66/5.91
% 5.66/5.91 thf(mem_c_2Epath_2Efirst,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Epath_2Efirst @ A_27a @ A_27b ) @ ( arr @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) @ A_27a ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(tp_c_2Epath_2EfirstP__at,type,
% 5.66/5.91 c_2Epath_2EfirstP__at: del > del > $i ).
% 5.66/5.91
% 5.66/5.91 thf(mem_c_2Epath_2EfirstP__at,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Epath_2EfirstP__at @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) @ ( arr @ ty_2Enum_2Enum @ bool ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(tp_c_2Epath_2Efirst__label,type,
% 5.66/5.91 c_2Epath_2Efirst__label: del > del > $i ).
% 5.66/5.91
% 5.66/5.91 thf(mem_c_2Epath_2Efirst__label,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Epath_2Efirst__label @ A_27a @ A_27b ) @ ( arr @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) @ A_27b ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(tp_c_2Epath_2EfromPath,type,
% 5.66/5.91 c_2Epath_2EfromPath: del > del > $i ).
% 5.66/5.91
% 5.66/5.91 thf(mem_c_2Epath_2EfromPath,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Epath_2EfromPath @ A_27a @ A_27b ) @ ( arr @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Ellist_2Ellist @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(tp_c_2Epath_2Eis__stopped,type,
% 5.66/5.91 c_2Epath_2Eis__stopped: del > del > $i ).
% 5.66/5.91
% 5.66/5.91 thf(mem_c_2Epath_2Eis__stopped,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Epath_2Eis__stopped @ A_27a @ A_27b ) @ ( arr @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) @ bool ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(tp_c_2Epath_2Elabels,type,
% 5.66/5.91 c_2Epath_2Elabels: del > del > $i ).
% 5.66/5.91
% 5.66/5.91 thf(mem_c_2Epath_2Elabels,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Epath_2Elabels @ A_27a @ A_27b ) @ ( arr @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) @ ( ty_2Ellist_2Ellist @ A_27b ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(tp_c_2Epath_2Elast,type,
% 5.66/5.91 c_2Epath_2Elast: del > del > $i ).
% 5.66/5.91
% 5.66/5.91 thf(mem_c_2Epath_2Elast,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Epath_2Elast @ A_27a @ A_27b ) @ ( arr @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) @ A_27a ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(tp_c_2Epath_2Elength,type,
% 5.66/5.91 c_2Epath_2Elength: del > del > $i ).
% 5.66/5.91
% 5.66/5.91 thf(mem_c_2Epath_2Elength,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Epath_2Elength @ A_27a @ A_27b ) @ ( arr @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) @ ( ty_2Eoption_2Eoption @ ty_2Enum_2Enum ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(tp_c_2Epath_2Emem,type,
% 5.66/5.91 c_2Epath_2Emem: del > del > $i ).
% 5.66/5.91
% 5.66/5.91 thf(mem_c_2Epath_2Emem,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Epath_2Emem @ A_27a @ A_27b ) @ ( arr @ A_27a @ ( arr @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) @ bool ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(tp_c_2Epath_2Enth__label,type,
% 5.66/5.91 c_2Epath_2Enth__label: del > del > $i ).
% 5.66/5.91
% 5.66/5.91 thf(mem_c_2Epath_2Enth__label,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Epath_2Enth__label @ A_27a @ A_27b ) @ ( arr @ ty_2Enum_2Enum @ ( arr @ ( ty_2Epath_2Epath @ A_27b @ A_27a ) @ A_27a ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(tp_c_2Epath_2Eokpath,type,
% 5.66/5.91 c_2Epath_2Eokpath: del > del > $i ).
% 5.66/5.91
% 5.66/5.91 thf(mem_c_2Epath_2Eokpath,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Epath_2Eokpath @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27b @ ( arr @ A_27a @ bool ) ) ) @ ( arr @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) @ bool ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(tp_c_2Epath_2Eokpath__f,type,
% 5.66/5.91 c_2Epath_2Eokpath__f: del > del > $i ).
% 5.66/5.91
% 5.66/5.91 thf(mem_c_2Epath_2Eokpath__f,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Epath_2Eokpath__f @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27b @ ( arr @ A_27a @ bool ) ) ) @ ( arr @ ( arr @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) @ bool ) @ ( arr @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) @ bool ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(tp_c_2Epath_2Eparallel__comp,type,
% 5.66/5.91 c_2Epath_2Eparallel__comp: del > del > del > del > del > $i ).
% 5.66/5.91
% 5.66/5.91 thf(mem_c_2Epath_2Eparallel__comp,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,A_27e: del] : ( mem @ ( c_2Epath_2Eparallel__comp @ A_27a @ A_27b @ A_27c @ A_27d @ A_27e ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27b @ ( arr @ A_27c @ bool ) ) ) @ ( arr @ ( arr @ A_27d @ ( arr @ A_27b @ ( arr @ A_27e @ bool ) ) ) @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27d ) @ ( arr @ A_27b @ ( arr @ ( ty_2Epair_2Eprod @ A_27c @ A_27e ) @ bool ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(tp_c_2Epath_2Epconcat,type,
% 5.66/5.91 c_2Epath_2Epconcat: del > del > $i ).
% 5.66/5.91
% 5.66/5.91 thf(mem_c_2Epath_2Epconcat,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Epath_2Epconcat @ A_27a @ A_27b ) @ ( arr @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) @ ( arr @ A_27b @ ( arr @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(tp_c_2Epath_2Epcons,type,
% 5.66/5.91 c_2Epath_2Epcons: del > del > $i ).
% 5.66/5.91
% 5.66/5.91 thf(mem_c_2Epath_2Epcons,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Epath_2Epcons @ A_27a @ A_27b ) @ ( arr @ A_27a @ ( arr @ A_27b @ ( arr @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(tp_c_2Epath_2Epgenerate,type,
% 5.66/5.91 c_2Epath_2Epgenerate: del > del > $i ).
% 5.66/5.91
% 5.66/5.91 thf(mem_c_2Epath_2Epgenerate,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Epath_2Epgenerate @ A_27a @ A_27b ) @ ( arr @ ( arr @ ty_2Enum_2Enum @ A_27a ) @ ( arr @ ( arr @ ty_2Enum_2Enum @ A_27b ) @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(tp_c_2Epath_2Eplink,type,
% 5.66/5.91 c_2Epath_2Eplink: del > del > $i ).
% 5.66/5.91
% 5.66/5.91 thf(mem_c_2Epath_2Eplink,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Epath_2Eplink @ A_27a @ A_27b ) @ ( arr @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) @ ( arr @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(tp_c_2Epath_2Epmap,type,
% 5.66/5.91 c_2Epath_2Epmap: del > del > del > del > $i ).
% 5.66/5.91
% 5.66/5.91 thf(mem_c_2Epath_2Epmap,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del] : ( mem @ ( c_2Epath_2Epmap @ A_27a @ A_27b @ A_27c @ A_27d ) @ ( arr @ ( arr @ A_27a @ A_27c ) @ ( arr @ ( arr @ A_27b @ A_27d ) @ ( arr @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) @ ( ty_2Epath_2Epath @ A_27c @ A_27d ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(tp_c_2Epath_2Eseg,type,
% 5.66/5.91 c_2Epath_2Eseg: del > del > $i ).
% 5.66/5.91
% 5.66/5.91 thf(mem_c_2Epath_2Eseg,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Epath_2Eseg @ A_27a @ A_27b ) @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ( arr @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(tp_c_2Epath_2Estopped__at,type,
% 5.66/5.91 c_2Epath_2Estopped__at: del > del > $i ).
% 5.66/5.91
% 5.66/5.91 thf(mem_c_2Epath_2Estopped__at,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Epath_2Estopped__at @ A_27a @ A_27b ) @ ( arr @ A_27a @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(tp_c_2Epath_2Etail,type,
% 5.66/5.91 c_2Epath_2Etail: del > del > $i ).
% 5.66/5.91
% 5.66/5.91 thf(mem_c_2Epath_2Etail,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Epath_2Etail @ A_27a @ A_27b ) @ ( arr @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(tp_c_2Epath_2Etake,type,
% 5.66/5.91 c_2Epath_2Etake: del > del > $i ).
% 5.66/5.91
% 5.66/5.91 thf(mem_c_2Epath_2Etake,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Epath_2Etake @ A_27a @ A_27b ) @ ( arr @ ty_2Enum_2Enum @ ( arr @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(tp_c_2Epath_2EtoPath,type,
% 5.66/5.91 c_2Epath_2EtoPath: del > del > $i ).
% 5.66/5.91
% 5.66/5.91 thf(mem_c_2Epath_2EtoPath,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Epath_2EtoPath @ A_27a @ A_27b ) @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Ellist_2Ellist @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(tp_c_2Epath_2Etrace__machine,type,
% 5.66/5.91 c_2Epath_2Etrace__machine: del > $i ).
% 5.66/5.91
% 5.66/5.91 thf(mem_c_2Epath_2Etrace__machine,axiom,
% 5.66/5.91 ! [A_27a: del] : ( mem @ ( c_2Epath_2Etrace__machine @ A_27a ) @ ( arr @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ bool ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ A_27a @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ bool ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(tp_c_2Epath_2Eunfold,type,
% 5.66/5.91 c_2Epath_2Eunfold: del > del > del > $i ).
% 5.66/5.91
% 5.66/5.91 thf(mem_c_2Epath_2Eunfold,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,A_27c: del] : ( mem @ ( c_2Epath_2Eunfold @ A_27a @ A_27b @ A_27c ) @ ( arr @ ( arr @ A_27c @ A_27a ) @ ( arr @ ( arr @ A_27c @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27c @ A_27b ) ) ) @ ( arr @ A_27c @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(ax_thm_2Epath_2Epath__TY__DEF,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del] :
% 5.66/5.91 ? [V0rep: $i] :
% 5.66/5.91 ( ( mem @ V0rep @ ( arr @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Ellist_2Ellist @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) ) )
% 5.66/5.91 & ( p
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap @ ( c_2Ebool_2ETYPE__DEFINITION @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Ellist_2Ellist @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 @ ( lam @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Ellist_2Ellist @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) )
% 5.66/5.91 @ ^ [V1x: $i] : c_2Ebool_2ET ) )
% 5.66/5.91 @ V0rep ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(ax_thm_2Epath_2Epath__absrep__bijections,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del] :
% 5.66/5.91 ( ! [V0a: $i] :
% 5.66/5.91 ( ( mem @ V0a @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( ap @ ( c_2Epath_2EtoPath @ A_27a @ A_27b ) @ ( ap @ ( c_2Epath_2EfromPath @ A_27a @ A_27b ) @ V0a ) )
% 5.66/5.91 = V0a ) )
% 5.66/5.91 & ! [V1r: $i] :
% 5.66/5.91 ( ( mem @ V1r @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Ellist_2Ellist @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) )
% 5.66/5.91 => ( ( p
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( lam @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Ellist_2Ellist @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) )
% 5.66/5.91 @ ^ [V2x: $i] : c_2Ebool_2ET )
% 5.66/5.91 @ V1r ) )
% 5.66/5.91 <=> ( ( ap @ ( c_2Epath_2EfromPath @ A_27a @ A_27b ) @ ( ap @ ( c_2Epath_2EtoPath @ A_27a @ A_27b ) @ V1r ) )
% 5.66/5.91 = V1r ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Epath__rep__bijections__thm,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del] :
% 5.66/5.91 ( ! [V0a: $i] :
% 5.66/5.91 ( ( mem @ V0a @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( ap @ ( c_2Epath_2EtoPath @ A_27a @ A_27b ) @ ( ap @ ( c_2Epath_2EfromPath @ A_27a @ A_27b ) @ V0a ) )
% 5.66/5.91 = V0a ) )
% 5.66/5.91 & ! [V1r: $i] :
% 5.66/5.91 ( ( mem @ V1r @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Ellist_2Ellist @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) )
% 5.66/5.91 => ( ( ap @ ( c_2Epath_2EfromPath @ A_27a @ A_27b ) @ ( ap @ ( c_2Epath_2EtoPath @ A_27a @ A_27b ) @ V1r ) )
% 5.66/5.91 = V1r ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2EtoPath__11,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0r: $i] :
% 5.66/5.91 ( ( mem @ V0r @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Ellist_2Ellist @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) )
% 5.66/5.91 => ! [V1r_27: $i] :
% 5.66/5.91 ( ( mem @ V1r_27 @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Ellist_2Ellist @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) )
% 5.66/5.91 => ( ( ( ap @ ( c_2Epath_2EtoPath @ A_27a @ A_27b ) @ V0r )
% 5.66/5.91 = ( ap @ ( c_2Epath_2EtoPath @ A_27a @ A_27b ) @ V1r_27 ) )
% 5.66/5.91 <=> ( V0r = V1r_27 ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2EfromPath__11,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0a: $i] :
% 5.66/5.91 ( ( mem @ V0a @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ! [V1a_27: $i] :
% 5.66/5.91 ( ( mem @ V1a_27 @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( ( ap @ ( c_2Epath_2EfromPath @ A_27a @ A_27b ) @ V0a )
% 5.66/5.91 = ( ap @ ( c_2Epath_2EfromPath @ A_27a @ A_27b ) @ V1a_27 ) )
% 5.66/5.91 <=> ( V0a = V1a_27 ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2EfromPath__onto,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0r: $i] :
% 5.66/5.91 ( ( mem @ V0r @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Ellist_2Ellist @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) )
% 5.66/5.91 => ? [V1a: $i] :
% 5.66/5.91 ( ( mem @ V1a @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 & ( V0r
% 5.66/5.91 = ( ap @ ( c_2Epath_2EfromPath @ A_27a @ A_27b ) @ V1a ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2EtoPath__onto,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0a: $i] :
% 5.66/5.91 ( ( mem @ V0a @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ? [V1r: $i] :
% 5.66/5.91 ( ( mem @ V1r @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Ellist_2Ellist @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) )
% 5.66/5.91 & ( V0a
% 5.66/5.91 = ( ap @ ( c_2Epath_2EtoPath @ A_27a @ A_27b ) @ V1r ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(ax_thm_2Epath_2Efirst__def,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0p: $i] :
% 5.66/5.91 ( ( mem @ V0p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( ap @ ( c_2Epath_2Efirst @ A_27a @ A_27b ) @ V0p )
% 5.66/5.91 = ( ap @ ( c_2Epair_2EFST @ A_27a @ ( ty_2Ellist_2Ellist @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) @ ( ap @ ( c_2Epath_2EfromPath @ A_27a @ A_27b ) @ V0p ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(ax_thm_2Epath_2Estopped__at__def,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0x: $i] :
% 5.66/5.91 ( ( mem @ V0x @ A_27a )
% 5.66/5.91 => ( ( ap @ ( c_2Epath_2Estopped__at @ A_27a @ A_27b ) @ V0x )
% 5.66/5.91 = ( ap @ ( c_2Epath_2EtoPath @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ ( ty_2Ellist_2Ellist @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) @ V0x ) @ ( c_2Ellist_2ELNIL @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(ax_thm_2Epath_2Epcons__def,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0x: $i] :
% 5.66/5.91 ( ( mem @ V0x @ A_27a )
% 5.66/5.91 => ! [V1r: $i] :
% 5.66/5.91 ( ( mem @ V1r @ A_27b )
% 5.66/5.91 => ! [V2p: $i] :
% 5.66/5.91 ( ( mem @ V2p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( ap @ ( ap @ ( ap @ ( c_2Epath_2Epcons @ A_27a @ A_27b ) @ V0x ) @ V1r ) @ V2p )
% 5.66/5.91 = ( ap @ ( c_2Epath_2EtoPath @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ ( ty_2Ellist_2Ellist @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) @ V0x ) @ ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27b @ A_27a ) @ V1r ) @ ( ap @ ( c_2Epath_2Efirst @ A_27a @ A_27b ) @ V2p ) ) ) @ ( ap @ ( c_2Epair_2ESND @ A_27a @ ( ty_2Ellist_2Ellist @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) @ ( ap @ ( c_2Epath_2EfromPath @ A_27a @ A_27b ) @ V2p ) ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Estopped__at__11,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0x: $i] :
% 5.66/5.91 ( ( mem @ V0x @ A_27a )
% 5.66/5.91 => ! [V1y: $i] :
% 5.66/5.91 ( ( mem @ V1y @ A_27a )
% 5.66/5.91 => ( ( ( ap @ ( c_2Epath_2Estopped__at @ A_27a @ A_27b ) @ V0x )
% 5.66/5.91 = ( ap @ ( c_2Epath_2Estopped__at @ A_27a @ A_27b ) @ V1y ) )
% 5.66/5.91 <=> ( V0x = V1y ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Epcons__11,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0x: $i] :
% 5.66/5.91 ( ( mem @ V0x @ A_27a )
% 5.66/5.91 => ! [V1r: $i] :
% 5.66/5.91 ( ( mem @ V1r @ A_27b )
% 5.66/5.91 => ! [V2p: $i] :
% 5.66/5.91 ( ( mem @ V2p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ! [V3y: $i] :
% 5.66/5.91 ( ( mem @ V3y @ A_27a )
% 5.66/5.91 => ! [V4s: $i] :
% 5.66/5.91 ( ( mem @ V4s @ A_27b )
% 5.66/5.91 => ! [V5q: $i] :
% 5.66/5.91 ( ( mem @ V5q @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( ( ap @ ( ap @ ( ap @ ( c_2Epath_2Epcons @ A_27a @ A_27b ) @ V0x ) @ V1r ) @ V2p )
% 5.66/5.91 = ( ap @ ( ap @ ( ap @ ( c_2Epath_2Epcons @ A_27a @ A_27b ) @ V3y ) @ V4s ) @ V5q ) )
% 5.66/5.91 <=> ( ( V0x = V3y )
% 5.66/5.91 & ( V1r = V4s )
% 5.66/5.91 & ( V2p = V5q ) ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Estopped__at__not__pcons,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0x: $i] :
% 5.66/5.91 ( ( mem @ V0x @ A_27a )
% 5.66/5.91 => ! [V1y: $i] :
% 5.66/5.91 ( ( mem @ V1y @ A_27a )
% 5.66/5.91 => ! [V2r: $i] :
% 5.66/5.91 ( ( mem @ V2r @ A_27b )
% 5.66/5.91 => ! [V3p: $i] :
% 5.66/5.91 ( ( mem @ V3p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( ( ap @ ( c_2Epath_2Estopped__at @ A_27a @ A_27b ) @ V0x )
% 5.66/5.91 != ( ap @ ( ap @ ( ap @ ( c_2Epath_2Epcons @ A_27a @ A_27b ) @ V1y ) @ V2r ) @ V3p ) )
% 5.66/5.91 & ( ( ap @ ( ap @ ( ap @ ( c_2Epath_2Epcons @ A_27a @ A_27b ) @ V1y ) @ V2r ) @ V3p )
% 5.66/5.91 != ( ap @ ( c_2Epath_2Estopped__at @ A_27a @ A_27b ) @ V0x ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Epath__cases,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0p: $i] :
% 5.66/5.91 ( ( mem @ V0p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ? [V1x: $i] :
% 5.66/5.91 ( ( mem @ V1x @ A_27a )
% 5.66/5.91 & ( V0p
% 5.66/5.91 = ( ap @ ( c_2Epath_2Estopped__at @ A_27a @ A_27b ) @ V1x ) ) )
% 5.66/5.91 | ? [V2x: $i] :
% 5.66/5.91 ( ( mem @ V2x @ A_27a )
% 5.66/5.91 & ? [V3r: $i] :
% 5.66/5.91 ( ( mem @ V3r @ A_27b )
% 5.66/5.91 & ? [V4q: $i] :
% 5.66/5.91 ( ( mem @ V4q @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 & ( V0p
% 5.66/5.91 = ( ap @ ( ap @ ( ap @ ( c_2Epath_2Epcons @ A_27a @ A_27b ) @ V2x ) @ V3r ) @ V4q ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2EFORALL__path,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.66/5.91 ( ( mem @ V0P @ ( arr @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) @ bool ) )
% 5.66/5.91 => ( ! [V1p: $i] :
% 5.66/5.91 ( ( mem @ V1p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( p @ ( ap @ V0P @ V1p ) ) )
% 5.66/5.91 <=> ( ! [V2x: $i] :
% 5.66/5.91 ( ( mem @ V2x @ A_27a )
% 5.66/5.91 => ( p @ ( ap @ V0P @ ( ap @ ( c_2Epath_2Estopped__at @ A_27a @ A_27b ) @ V2x ) ) ) )
% 5.66/5.91 & ! [V3x: $i] :
% 5.66/5.91 ( ( mem @ V3x @ A_27a )
% 5.66/5.91 => ! [V4r: $i] :
% 5.66/5.91 ( ( mem @ V4r @ A_27b )
% 5.66/5.91 => ! [V5p: $i] :
% 5.66/5.91 ( ( mem @ V5p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( p @ ( ap @ V0P @ ( ap @ ( ap @ ( ap @ ( c_2Epath_2Epcons @ A_27a @ A_27b ) @ V3x ) @ V4r ) @ V5p ) ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2EEXISTS__path,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.66/5.91 ( ( mem @ V0P @ ( arr @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) @ bool ) )
% 5.66/5.91 => ( ? [V1p: $i] :
% 5.66/5.91 ( ( mem @ V1p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 & ( p @ ( ap @ V0P @ V1p ) ) )
% 5.66/5.91 <=> ( ? [V2x: $i] :
% 5.66/5.91 ( ( mem @ V2x @ A_27a )
% 5.66/5.91 & ( p @ ( ap @ V0P @ ( ap @ ( c_2Epath_2Estopped__at @ A_27a @ A_27b ) @ V2x ) ) ) )
% 5.66/5.91 | ? [V3x: $i] :
% 5.66/5.91 ( ( mem @ V3x @ A_27a )
% 5.66/5.91 & ? [V4r: $i] :
% 5.66/5.91 ( ( mem @ V4r @ A_27b )
% 5.66/5.91 & ? [V5p: $i] :
% 5.66/5.91 ( ( mem @ V5p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 & ( p @ ( ap @ V0P @ ( ap @ ( ap @ ( ap @ ( c_2Epath_2Epcons @ A_27a @ A_27b ) @ V3x ) @ V4r ) @ V5p ) ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Efirst__thm,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del] :
% 5.66/5.91 ( ! [V0x: $i] :
% 5.66/5.91 ( ( mem @ V0x @ A_27a )
% 5.66/5.91 => ( ( ap @ ( c_2Epath_2Efirst @ A_27a @ A_27b ) @ ( ap @ ( c_2Epath_2Estopped__at @ A_27a @ A_27b ) @ V0x ) )
% 5.66/5.91 = V0x ) )
% 5.66/5.91 & ! [V1x: $i] :
% 5.66/5.91 ( ( mem @ V1x @ A_27a )
% 5.66/5.91 => ! [V2r: $i] :
% 5.66/5.91 ( ( mem @ V2r @ A_27b )
% 5.66/5.91 => ! [V3p: $i] :
% 5.66/5.91 ( ( mem @ V3p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( ap @ ( c_2Epath_2Efirst @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( ap @ ( c_2Epath_2Epcons @ A_27a @ A_27b ) @ V1x ) @ V2r ) @ V3p ) )
% 5.66/5.91 = V1x ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(ax_thm_2Epath_2Efinite__def,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0sigma: $i] :
% 5.66/5.91 ( ( mem @ V0sigma @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( p @ ( ap @ ( c_2Epath_2Efinite @ A_27a @ A_27b ) @ V0sigma ) )
% 5.66/5.91 <=> ( p @ ( ap @ ( c_2Ellist_2ELFINITE @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) @ ( ap @ ( c_2Epair_2ESND @ A_27a @ ( ty_2Ellist_2Ellist @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) @ ( ap @ ( c_2Epath_2EfromPath @ A_27a @ A_27b ) @ V0sigma ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Efinite__thm,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del] :
% 5.66/5.91 ( ! [V0x: $i] :
% 5.66/5.91 ( ( mem @ V0x @ A_27a )
% 5.66/5.91 => ( ( p @ ( ap @ ( c_2Epath_2Efinite @ A_27a @ A_27b ) @ ( ap @ ( c_2Epath_2Estopped__at @ A_27a @ A_27b ) @ V0x ) ) )
% 5.66/5.91 <=> $true ) )
% 5.66/5.91 & ! [V1x: $i] :
% 5.66/5.91 ( ( mem @ V1x @ A_27a )
% 5.66/5.91 => ! [V2r: $i] :
% 5.66/5.91 ( ( mem @ V2r @ A_27b )
% 5.66/5.91 => ! [V3p: $i] :
% 5.66/5.91 ( ( mem @ V3p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( p @ ( ap @ ( c_2Epath_2Efinite @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( ap @ ( c_2Epath_2Epcons @ A_27a @ A_27b ) @ V1x ) @ V2r ) @ V3p ) ) )
% 5.66/5.91 <=> ( p @ ( ap @ ( c_2Epath_2Efinite @ A_27a @ A_27b ) @ V3p ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(ax_thm_2Epath_2Elast__thm,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del] :
% 5.66/5.91 ( ! [V0x: $i] :
% 5.66/5.91 ( ( mem @ V0x @ A_27a )
% 5.66/5.91 => ( ( ap @ ( c_2Epath_2Elast @ A_27a @ A_27b ) @ ( ap @ ( c_2Epath_2Estopped__at @ A_27a @ A_27b ) @ V0x ) )
% 5.66/5.91 = V0x ) )
% 5.66/5.91 & ! [V1x: $i] :
% 5.66/5.91 ( ( mem @ V1x @ A_27a )
% 5.66/5.91 => ! [V2r: $i] :
% 5.66/5.91 ( ( mem @ V2r @ A_27b )
% 5.66/5.91 => ! [V3p: $i] :
% 5.66/5.91 ( ( mem @ V3p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( ap @ ( c_2Epath_2Elast @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( ap @ ( c_2Epath_2Epcons @ A_27a @ A_27b ) @ V1x ) @ V2r ) @ V3p ) )
% 5.66/5.91 = ( ap @ ( c_2Epath_2Elast @ A_27a @ A_27b ) @ V3p ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Epath__bisimulation,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0p1: $i] :
% 5.66/5.91 ( ( mem @ V0p1 @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ! [V1p2: $i] :
% 5.66/5.91 ( ( mem @ V1p2 @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( V0p1 = V1p2 )
% 5.66/5.91 <=> ? [V2R: $i] :
% 5.66/5.91 ( ( mem @ V2R @ ( arr @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) @ ( arr @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) @ bool ) ) )
% 5.66/5.91 & ( p @ ( ap @ ( ap @ V2R @ V0p1 ) @ V1p2 ) )
% 5.66/5.91 & ! [V3q1: $i] :
% 5.66/5.91 ( ( mem @ V3q1 @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ! [V4q2: $i] :
% 5.66/5.91 ( ( mem @ V4q2 @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( p @ ( ap @ ( ap @ V2R @ V3q1 ) @ V4q2 ) )
% 5.66/5.91 => ( ? [V5x: $i] :
% 5.66/5.91 ( ( mem @ V5x @ A_27a )
% 5.66/5.91 & ( V3q1
% 5.66/5.91 = ( ap @ ( c_2Epath_2Estopped__at @ A_27a @ A_27b ) @ V5x ) )
% 5.66/5.91 & ( V4q2
% 5.66/5.91 = ( ap @ ( c_2Epath_2Estopped__at @ A_27a @ A_27b ) @ V5x ) ) )
% 5.66/5.91 | ? [V6x: $i] :
% 5.66/5.91 ( ( mem @ V6x @ A_27a )
% 5.66/5.91 & ? [V7r: $i] :
% 5.66/5.91 ( ( mem @ V7r @ A_27b )
% 5.66/5.91 & ? [V8q1_27: $i] :
% 5.66/5.91 ( ( mem @ V8q1_27 @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 & ? [V9q2_27: $i] :
% 5.66/5.91 ( ( mem @ V9q2_27 @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 & ( V3q1
% 5.66/5.91 = ( ap @ ( ap @ ( ap @ ( c_2Epath_2Epcons @ A_27a @ A_27b ) @ V6x ) @ V7r ) @ V8q1_27 ) )
% 5.66/5.91 & ( V4q2
% 5.66/5.91 = ( ap @ ( ap @ ( ap @ ( c_2Epath_2Epcons @ A_27a @ A_27b ) @ V6x ) @ V7r ) @ V9q2_27 ) )
% 5.66/5.91 & ( p @ ( ap @ ( ap @ V2R @ V8q1_27 ) @ V9q2_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Efinite__path__ind,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.66/5.91 ( ( mem @ V0P @ ( arr @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) @ bool ) )
% 5.66/5.91 => ( ( ! [V1x: $i] :
% 5.66/5.91 ( ( mem @ V1x @ A_27a )
% 5.66/5.91 => ( p @ ( ap @ V0P @ ( ap @ ( c_2Epath_2Estopped__at @ A_27a @ A_27b ) @ V1x ) ) ) )
% 5.66/5.91 & ! [V2x: $i] :
% 5.66/5.91 ( ( mem @ V2x @ A_27a )
% 5.66/5.91 => ! [V3r: $i] :
% 5.66/5.91 ( ( mem @ V3r @ A_27b )
% 5.66/5.91 => ! [V4p: $i] :
% 5.66/5.91 ( ( mem @ V4p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( ( p @ ( ap @ ( c_2Epath_2Efinite @ A_27a @ A_27b ) @ V4p ) )
% 5.66/5.91 & ( p @ ( ap @ V0P @ V4p ) ) )
% 5.66/5.91 => ( p @ ( ap @ V0P @ ( ap @ ( ap @ ( ap @ ( c_2Epath_2Epcons @ A_27a @ A_27b ) @ V2x ) @ V3r ) @ V4p ) ) ) ) ) ) ) )
% 5.66/5.91 => ! [V5q: $i] :
% 5.66/5.91 ( ( mem @ V5q @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( p @ ( ap @ ( c_2Epath_2Efinite @ A_27a @ A_27b ) @ V5q ) )
% 5.66/5.91 => ( p @ ( ap @ V0P @ V5q ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(ax_thm_2Epath_2Epmap__def,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0f: $i] :
% 5.66/5.91 ( ( mem @ V0f @ ( arr @ A_27a @ A_27c ) )
% 5.66/5.91 => ! [V1g: $i] :
% 5.66/5.91 ( ( mem @ V1g @ ( arr @ A_27b @ A_27d ) )
% 5.66/5.91 => ! [V2p: $i] :
% 5.66/5.91 ( ( mem @ V2p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( ap @ ( ap @ ( ap @ ( c_2Epath_2Epmap @ A_27a @ A_27b @ A_27c @ A_27d ) @ V0f ) @ V1g ) @ V2p )
% 5.66/5.91 = ( ap @ ( c_2Epath_2EtoPath @ A_27c @ A_27d ) @ ( ap @ ( ap @ ( ap @ ( c_2Epair_2E_23_23 @ A_27a @ ( ty_2Ellist_2Ellist @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) @ A_27c @ ( ty_2Ellist_2Ellist @ ( ty_2Epair_2Eprod @ A_27d @ A_27c ) ) ) @ V0f ) @ ( ap @ ( c_2Ellist_2ELMAP @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) @ ( ty_2Epair_2Eprod @ A_27d @ A_27c ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_23_23 @ A_27b @ A_27a @ A_27d @ A_27c ) @ V1g ) @ V0f ) ) ) @ ( ap @ ( c_2Epath_2EfromPath @ A_27a @ A_27b ) @ V2p ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Epmap__thm,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0f: $i] :
% 5.66/5.91 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.91 => ! [V1g: $i] :
% 5.66/5.91 ( ( mem @ V1g @ ( arr @ A_27d @ A_27c ) )
% 5.66/5.91 => ( ! [V2x: $i] :
% 5.66/5.91 ( ( mem @ V2x @ A_27a )
% 5.66/5.91 => ( ( ap @ ( ap @ ( ap @ ( c_2Epath_2Epmap @ A_27a @ A_27d @ A_27b @ A_27c ) @ V0f ) @ V1g ) @ ( ap @ ( c_2Epath_2Estopped__at @ A_27a @ A_27d ) @ V2x ) )
% 5.66/5.91 = ( ap @ ( c_2Epath_2Estopped__at @ A_27b @ A_27c ) @ ( ap @ V0f @ V2x ) ) ) )
% 5.66/5.91 & ! [V3x: $i] :
% 5.66/5.91 ( ( mem @ V3x @ A_27a )
% 5.66/5.91 => ! [V4r: $i] :
% 5.66/5.91 ( ( mem @ V4r @ A_27d )
% 5.66/5.91 => ! [V5p: $i] :
% 5.66/5.91 ( ( mem @ V5p @ ( ty_2Epath_2Epath @ A_27a @ A_27d ) )
% 5.66/5.91 => ( ( ap @ ( ap @ ( ap @ ( c_2Epath_2Epmap @ A_27a @ A_27d @ A_27b @ A_27c ) @ V0f ) @ V1g ) @ ( ap @ ( ap @ ( ap @ ( c_2Epath_2Epcons @ A_27a @ A_27d ) @ V3x ) @ V4r ) @ V5p ) )
% 5.66/5.91 = ( ap @ ( ap @ ( ap @ ( c_2Epath_2Epcons @ A_27b @ A_27c ) @ ( ap @ V0f @ V3x ) ) @ ( ap @ V1g @ V4r ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Epath_2Epmap @ A_27a @ A_27d @ A_27b @ A_27c ) @ V0f ) @ V1g ) @ V5p ) ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Efirst__pmap,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0f: $i] :
% 5.66/5.91 ( ( mem @ V0f @ ( arr @ A_27a @ A_27c ) )
% 5.66/5.91 => ! [V1g: $i] :
% 5.66/5.91 ( ( mem @ V1g @ ( arr @ A_27b @ A_27d ) )
% 5.66/5.91 => ! [V2p: $i] :
% 5.66/5.91 ( ( mem @ V2p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( ap @ ( c_2Epath_2Efirst @ A_27c @ A_27d ) @ ( ap @ ( ap @ ( ap @ ( c_2Epath_2Epmap @ A_27a @ A_27b @ A_27c @ A_27d ) @ V0f ) @ V1g ) @ V2p ) )
% 5.66/5.91 = ( ap @ V0f @ ( ap @ ( c_2Epath_2Efirst @ A_27a @ A_27b ) @ V2p ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Elast__pmap,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0f: $i] :
% 5.66/5.91 ( ( mem @ V0f @ ( arr @ A_27a @ A_27c ) )
% 5.66/5.91 => ! [V1g: $i] :
% 5.66/5.91 ( ( mem @ V1g @ ( arr @ A_27b @ A_27d ) )
% 5.66/5.91 => ! [V2p: $i] :
% 5.66/5.91 ( ( mem @ V2p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( p @ ( ap @ ( c_2Epath_2Efinite @ A_27a @ A_27b ) @ V2p ) )
% 5.66/5.91 => ( ( ap @ ( c_2Epath_2Elast @ A_27c @ A_27d ) @ ( ap @ ( ap @ ( ap @ ( c_2Epath_2Epmap @ A_27a @ A_27b @ A_27c @ A_27d ) @ V0f ) @ V1g ) @ V2p ) )
% 5.66/5.91 = ( ap @ V0f @ ( ap @ ( c_2Epath_2Elast @ A_27a @ A_27b ) @ V2p ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Efinite__pmap,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0f: $i] :
% 5.66/5.91 ( ( mem @ V0f @ ( arr @ A_27a @ A_27c ) )
% 5.66/5.91 => ! [V1g: $i] :
% 5.66/5.91 ( ( mem @ V1g @ ( arr @ A_27b @ A_27d ) )
% 5.66/5.91 => ! [V2p: $i] :
% 5.66/5.91 ( ( mem @ V2p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( p @ ( ap @ ( c_2Epath_2Efinite @ A_27c @ A_27d ) @ ( ap @ ( ap @ ( ap @ ( c_2Epath_2Epmap @ A_27a @ A_27b @ A_27c @ A_27d ) @ V0f ) @ V1g ) @ V2p ) ) )
% 5.66/5.91 <=> ( p @ ( ap @ ( c_2Epath_2Efinite @ A_27a @ A_27b ) @ V2p ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(ax_thm_2Epath_2Etail__def,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0x: $i] :
% 5.66/5.91 ( ( mem @ V0x @ A_27a )
% 5.66/5.91 => ! [V1r: $i] :
% 5.66/5.91 ( ( mem @ V1r @ A_27b )
% 5.66/5.91 => ! [V2p: $i] :
% 5.66/5.91 ( ( mem @ V2p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( ap @ ( c_2Epath_2Etail @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( ap @ ( c_2Epath_2Epcons @ A_27a @ A_27b ) @ V0x ) @ V1r ) @ V2p ) )
% 5.66/5.91 = V2p ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(ax_thm_2Epath_2Efirst__label__def,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0x: $i] :
% 5.66/5.91 ( ( mem @ V0x @ A_27a )
% 5.66/5.91 => ! [V1r: $i] :
% 5.66/5.91 ( ( mem @ V1r @ A_27b )
% 5.66/5.91 => ! [V2p: $i] :
% 5.66/5.91 ( ( mem @ V2p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( ap @ ( c_2Epath_2Efirst__label @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( ap @ ( c_2Epath_2Epcons @ A_27a @ A_27b ) @ V0x ) @ V1r ) @ V2p ) )
% 5.66/5.91 = V1r ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(ax_thm_2Epath_2Elength__def,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0p: $i] :
% 5.66/5.91 ( ( mem @ V0p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( surj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ ( ap @ ( c_2Epath_2Elength @ A_27a @ A_27b ) @ V0p ) )
% 5.66/5.91 = ( surj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Eoption_2Eoption @ ty_2Enum_2Enum ) ) @ ( ap @ ( c_2Epath_2Efinite @ A_27a @ A_27b ) @ V0p ) ) @ ( ap @ ( c_2Eoption_2ESOME @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( c_2Elist_2ELENGTH @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) @ ( ap @ ( c_2Eoption_2ETHE @ ( ty_2Elist_2Elist @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) @ ( ap @ ( c_2Ellist_2EtoList @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) @ ( ap @ ( c_2Epair_2ESND @ A_27a @ ( ty_2Ellist_2Ellist @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) @ ( ap @ ( c_2Epath_2EfromPath @ A_27a @ A_27b ) @ V0p ) ) ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( c_2Eoption_2ENONE @ ty_2Enum_2Enum ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Elength__thm,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del] :
% 5.66/5.91 ( ! [V0x: $i] :
% 5.66/5.91 ( ( mem @ V0x @ A_27a )
% 5.66/5.91 => ( ( surj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ ( ap @ ( c_2Epath_2Elength @ A_27a @ A_27b ) @ ( ap @ ( c_2Epath_2Estopped__at @ A_27a @ A_27b ) @ V0x ) ) )
% 5.66/5.91 = ( surj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ ( ap @ ( c_2Eoption_2ESOME @ ty_2Enum_2Enum ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.66/5.91 & ! [V1x: $i] :
% 5.66/5.91 ( ( mem @ V1x @ A_27c )
% 5.66/5.91 => ! [V2r: $i] :
% 5.66/5.91 ( ( mem @ V2r @ A_27d )
% 5.66/5.91 => ! [V3p: $i] :
% 5.66/5.91 ( ( mem @ V3p @ ( ty_2Epath_2Epath @ A_27c @ A_27d ) )
% 5.66/5.91 => ( ( surj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ ( ap @ ( c_2Epath_2Elength @ A_27c @ A_27d ) @ ( ap @ ( ap @ ( ap @ ( c_2Epath_2Epcons @ A_27c @ A_27d ) @ V1x ) @ V2r ) @ V3p ) ) )
% 5.66/5.91 = ( surj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Eoption_2Eoption @ ty_2Enum_2Enum ) ) @ ( ap @ ( c_2Epath_2Efinite @ A_27c @ A_27d ) @ V3p ) ) @ ( ap @ ( c_2Eoption_2ESOME @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( c_2Eoption_2ETHE @ ty_2Enum_2Enum ) @ ( ap @ ( c_2Epath_2Elength @ A_27c @ A_27d ) @ V3p ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( c_2Eoption_2ENONE @ ty_2Enum_2Enum ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Ealt__length__thm,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del] :
% 5.66/5.91 ( ! [V0x: $i] :
% 5.66/5.91 ( ( mem @ V0x @ A_27a )
% 5.66/5.91 => ( ( surj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ ( ap @ ( c_2Epath_2Elength @ A_27a @ A_27b ) @ ( ap @ ( c_2Epath_2Estopped__at @ A_27a @ A_27b ) @ V0x ) ) )
% 5.66/5.91 = ( surj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ ( ap @ ( c_2Eoption_2ESOME @ ty_2Enum_2Enum ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.66/5.91 & ! [V1x: $i] :
% 5.66/5.91 ( ( mem @ V1x @ A_27c )
% 5.66/5.91 => ! [V2r: $i] :
% 5.66/5.91 ( ( mem @ V2r @ A_27d )
% 5.66/5.91 => ! [V3p: $i] :
% 5.66/5.91 ( ( mem @ V3p @ ( ty_2Epath_2Epath @ A_27c @ A_27d ) )
% 5.66/5.91 => ( ( surj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ ( ap @ ( c_2Epath_2Elength @ A_27c @ A_27d ) @ ( ap @ ( ap @ ( ap @ ( c_2Epath_2Epcons @ A_27c @ A_27d ) @ V1x ) @ V2r ) @ V3p ) ) )
% 5.66/5.91 = ( surj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ ( ap @ ( ap @ ( c_2Eoption_2EOPTION__MAP @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ c_2Enum_2ESUC ) @ ( ap @ ( c_2Epath_2Elength @ A_27c @ A_27d ) @ V3p ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Elength__never__zero,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0p: $i] :
% 5.66/5.91 ( ( mem @ V0p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( surj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ ( ap @ ( c_2Epath_2Elength @ A_27a @ A_27b ) @ V0p ) )
% 5.66/5.91 != ( surj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ ( ap @ ( c_2Eoption_2ESOME @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Efinite__length,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0p: $i] :
% 5.66/5.91 ( ( mem @ V0p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( ( p @ ( ap @ ( c_2Epath_2Efinite @ A_27a @ A_27b ) @ V0p ) )
% 5.66/5.91 <=> ? [V1n: tp__ty_2Enum_2Enum] :
% 5.66/5.91 ( ( surj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ ( ap @ ( c_2Epath_2Elength @ A_27a @ A_27b ) @ V0p ) )
% 5.66/5.91 = ( surj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ ( ap @ ( c_2Eoption_2ESOME @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) )
% 5.66/5.91 & ( ~ ( p @ ( ap @ ( c_2Epath_2Efinite @ A_27a @ A_27b ) @ V0p ) )
% 5.66/5.91 <=> ( ( surj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ ( ap @ ( c_2Epath_2Elength @ A_27a @ A_27b ) @ V0p ) )
% 5.66/5.91 = ( surj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ ( c_2Eoption_2ENONE @ ty_2Enum_2Enum ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Elength__pmap,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0f: $i] :
% 5.66/5.91 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.91 => ! [V1g: $i] :
% 5.66/5.91 ( ( mem @ V1g @ ( arr @ A_27c @ A_27d ) )
% 5.66/5.91 => ! [V2p: $i] :
% 5.66/5.91 ( ( mem @ V2p @ ( ty_2Epath_2Epath @ A_27a @ A_27c ) )
% 5.66/5.91 => ( ( surj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ ( ap @ ( c_2Epath_2Elength @ A_27b @ A_27d ) @ ( ap @ ( ap @ ( ap @ ( c_2Epath_2Epmap @ A_27a @ A_27c @ A_27b @ A_27d ) @ V0f ) @ V1g ) @ V2p ) ) )
% 5.66/5.91 = ( surj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ ( ap @ ( c_2Epath_2Elength @ A_27a @ A_27c ) @ V2p ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(ax_thm_2Epath_2Eel__def,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del] :
% 5.66/5.91 ( ! [V0p: $i] :
% 5.66/5.91 ( ( mem @ V0p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( ap @ ( ap @ ( c_2Epath_2Eel @ A_27a @ A_27b ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ V0p )
% 5.66/5.91 = ( ap @ ( c_2Epath_2Efirst @ A_27a @ A_27b ) @ V0p ) ) )
% 5.66/5.91 & ! [V1n: tp__ty_2Enum_2Enum,V2p: $i] :
% 5.66/5.91 ( ( mem @ V2p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( ap @ ( ap @ ( c_2Epath_2Eel @ A_27a @ A_27b ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ V2p )
% 5.66/5.91 = ( ap @ ( ap @ ( c_2Epath_2Eel @ A_27a @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ ( c_2Epath_2Etail @ A_27a @ A_27b ) @ V2p ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Eel__def__compute,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del] :
% 5.66/5.91 ( ! [V0p: $i] :
% 5.66/5.91 ( ( mem @ V0p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( ap @ ( ap @ ( c_2Epath_2Eel @ A_27a @ A_27b ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ V0p )
% 5.66/5.91 = ( ap @ ( c_2Epath_2Efirst @ A_27a @ A_27b ) @ V0p ) ) )
% 5.66/5.91 & ! [V1n: tp__ty_2Enum_2Enum,V2p: $i] :
% 5.66/5.91 ( ( mem @ V2p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( ap @ ( ap @ ( c_2Epath_2Eel @ A_27a @ A_27b ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) @ V2p )
% 5.66/5.91 = ( ap @ ( ap @ ( c_2Epath_2Eel @ A_27a @ A_27b ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( c_2Epath_2Etail @ A_27a @ A_27b ) @ V2p ) ) ) )
% 5.66/5.91 & ! [V3n: tp__ty_2Enum_2Enum,V4p: $i] :
% 5.66/5.91 ( ( mem @ V4p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( ap @ ( ap @ ( c_2Epath_2Eel @ A_27a @ A_27b ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) ) @ V4p )
% 5.66/5.91 = ( ap @ ( ap @ ( c_2Epath_2Eel @ A_27a @ A_27b ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) ) @ ( ap @ ( c_2Epath_2Etail @ A_27a @ A_27b ) @ V4p ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(ax_thm_2Epath_2Enth__label__def,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del] :
% 5.66/5.91 ( ! [V0p: $i] :
% 5.66/5.91 ( ( mem @ V0p @ ( ty_2Epath_2Epath @ A_27b @ A_27a ) )
% 5.66/5.91 => ( ( ap @ ( ap @ ( c_2Epath_2Enth__label @ A_27a @ A_27b ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ V0p )
% 5.66/5.91 = ( ap @ ( c_2Epath_2Efirst__label @ A_27b @ A_27a ) @ V0p ) ) )
% 5.66/5.91 & ! [V1n: tp__ty_2Enum_2Enum,V2p: $i] :
% 5.66/5.91 ( ( mem @ V2p @ ( ty_2Epath_2Epath @ A_27b @ A_27a ) )
% 5.66/5.91 => ( ( ap @ ( ap @ ( c_2Epath_2Enth__label @ A_27a @ A_27b ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ V2p )
% 5.66/5.91 = ( ap @ ( ap @ ( c_2Epath_2Enth__label @ A_27a @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ ( c_2Epath_2Etail @ A_27b @ A_27a ) @ V2p ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Enth__label__def__compute,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del] :
% 5.66/5.91 ( ! [V0p: $i] :
% 5.66/5.91 ( ( mem @ V0p @ ( ty_2Epath_2Epath @ A_27b @ A_27a ) )
% 5.66/5.91 => ( ( ap @ ( ap @ ( c_2Epath_2Enth__label @ A_27a @ A_27b ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ V0p )
% 5.66/5.91 = ( ap @ ( c_2Epath_2Efirst__label @ A_27b @ A_27a ) @ V0p ) ) )
% 5.66/5.91 & ! [V1n: tp__ty_2Enum_2Enum,V2p: $i] :
% 5.66/5.91 ( ( mem @ V2p @ ( ty_2Epath_2Epath @ A_27b @ A_27a ) )
% 5.66/5.91 => ( ( ap @ ( ap @ ( c_2Epath_2Enth__label @ A_27a @ A_27b ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) @ V2p )
% 5.66/5.91 = ( ap @ ( ap @ ( c_2Epath_2Enth__label @ A_27a @ A_27b ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( c_2Epath_2Etail @ A_27b @ A_27a ) @ V2p ) ) ) )
% 5.66/5.91 & ! [V3n: tp__ty_2Enum_2Enum,V4p: $i] :
% 5.66/5.91 ( ( mem @ V4p @ ( ty_2Epath_2Epath @ A_27b @ A_27a ) )
% 5.66/5.91 => ( ( ap @ ( ap @ ( c_2Epath_2Enth__label @ A_27a @ A_27b ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) ) @ V4p )
% 5.66/5.91 = ( ap @ ( ap @ ( c_2Epath_2Enth__label @ A_27a @ A_27b ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) ) @ ( ap @ ( c_2Epath_2Etail @ A_27b @ A_27a ) @ V4p ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Epath__Axiom,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.66/5.91 ( ( mem @ V0f @ ( arr @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27c @ A_27a ) ) ) ) )
% 5.66/5.91 => ? [V1g: $i] :
% 5.66/5.91 ( ( mem @ V1g @ ( arr @ A_27a @ ( ty_2Epath_2Epath @ A_27b @ A_27c ) ) )
% 5.66/5.91 & ! [V2x: $i] :
% 5.66/5.91 ( ( mem @ V2x @ A_27a )
% 5.66/5.91 => ( ( ap @ V1g @ V2x )
% 5.66/5.91 = ( ap @ ( ap @ ( c_2Epair_2Epair__CASE @ ( ty_2Epath_2Epath @ A_27b @ A_27c ) @ A_27b @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27c @ A_27a ) ) ) @ ( ap @ V0f @ V2x ) )
% 5.66/5.91 @ ( lam @ A_27b
% 5.66/5.91 @ ^ [V3y: $i] :
% 5.66/5.91 ( lam @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27c @ A_27a ) )
% 5.66/5.91 @ ^ [V4v2: $i] :
% 5.66/5.91 ( ap @ ( ap @ ( ap @ ( c_2Eoption_2Eoption__CASE @ ( ty_2Epair_2Eprod @ A_27c @ A_27a ) @ ( ty_2Epath_2Epath @ A_27b @ A_27c ) ) @ V4v2 ) @ ( ap @ ( c_2Epath_2Estopped__at @ A_27b @ A_27c ) @ V3y ) )
% 5.66/5.91 @ ( lam @ ( ty_2Epair_2Eprod @ A_27c @ A_27a )
% 5.66/5.91 @ ^ [V5v3: $i] :
% 5.66/5.91 ( ap @ ( ap @ ( c_2Epair_2Epair__CASE @ ( ty_2Epath_2Epath @ A_27b @ A_27c ) @ A_27c @ A_27a ) @ V5v3 )
% 5.66/5.91 @ ( lam @ A_27c
% 5.66/5.91 @ ^ [V6l: $i] :
% 5.66/5.91 ( lam @ A_27a
% 5.66/5.91 @ ^ [V7v: $i] : ( ap @ ( ap @ ( ap @ ( c_2Epath_2Epcons @ A_27b @ A_27c ) @ V3y ) @ V6l ) @ ( ap @ V1g @ V7v ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(ax_thm_2Epath_2Epconcat__def,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0p1: $i] :
% 5.66/5.91 ( ( mem @ V0p1 @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ! [V1lab: $i] :
% 5.66/5.91 ( ( mem @ V1lab @ A_27b )
% 5.66/5.91 => ! [V2p2: $i] :
% 5.66/5.91 ( ( mem @ V2p2 @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( ap @ ( ap @ ( ap @ ( c_2Epath_2Epconcat @ A_27a @ A_27b ) @ V0p1 ) @ V1lab ) @ V2p2 )
% 5.66/5.91 = ( ap @ ( c_2Epath_2EtoPath @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ ( ty_2Ellist_2Ellist @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) @ ( ap @ ( c_2Epath_2Efirst @ A_27a @ A_27b ) @ V0p1 ) ) @ ( ap @ ( ap @ ( c_2Ellist_2ELAPPEND @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) @ ( ap @ ( c_2Epair_2ESND @ A_27a @ ( ty_2Ellist_2Ellist @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) @ ( ap @ ( c_2Epath_2EfromPath @ A_27a @ A_27b ) @ V0p1 ) ) ) @ ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27b @ A_27a ) @ V1lab ) @ ( ap @ ( c_2Epath_2Efirst @ A_27a @ A_27b ) @ V2p2 ) ) ) @ ( ap @ ( c_2Epair_2ESND @ A_27a @ ( ty_2Ellist_2Ellist @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) @ ( ap @ ( c_2Epath_2EfromPath @ A_27a @ A_27b ) @ V2p2 ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Epconcat__thm,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del] :
% 5.66/5.91 ( ! [V0x: $i] :
% 5.66/5.91 ( ( mem @ V0x @ A_27a )
% 5.66/5.91 => ! [V1lab: $i] :
% 5.66/5.91 ( ( mem @ V1lab @ A_27b )
% 5.66/5.91 => ! [V2p2: $i] :
% 5.66/5.91 ( ( mem @ V2p2 @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( ap @ ( ap @ ( ap @ ( c_2Epath_2Epconcat @ A_27a @ A_27b ) @ ( ap @ ( c_2Epath_2Estopped__at @ A_27a @ A_27b ) @ V0x ) ) @ V1lab ) @ V2p2 )
% 5.66/5.91 = ( ap @ ( ap @ ( ap @ ( c_2Epath_2Epcons @ A_27a @ A_27b ) @ V0x ) @ V1lab ) @ V2p2 ) ) ) ) )
% 5.66/5.91 & ! [V3x: $i] :
% 5.66/5.91 ( ( mem @ V3x @ A_27c )
% 5.66/5.91 => ! [V4r: $i] :
% 5.66/5.91 ( ( mem @ V4r @ A_27d )
% 5.66/5.91 => ! [V5p: $i] :
% 5.66/5.91 ( ( mem @ V5p @ ( ty_2Epath_2Epath @ A_27c @ A_27d ) )
% 5.66/5.91 => ! [V6lab: $i] :
% 5.66/5.91 ( ( mem @ V6lab @ A_27d )
% 5.66/5.91 => ! [V7p2: $i] :
% 5.66/5.91 ( ( mem @ V7p2 @ ( ty_2Epath_2Epath @ A_27c @ A_27d ) )
% 5.66/5.91 => ( ( ap @ ( ap @ ( ap @ ( c_2Epath_2Epconcat @ A_27c @ A_27d ) @ ( ap @ ( ap @ ( ap @ ( c_2Epath_2Epcons @ A_27c @ A_27d ) @ V3x ) @ V4r ) @ V5p ) ) @ V6lab ) @ V7p2 )
% 5.66/5.91 = ( ap @ ( ap @ ( ap @ ( c_2Epath_2Epcons @ A_27c @ A_27d ) @ V3x ) @ V4r ) @ ( ap @ ( ap @ ( ap @ ( c_2Epath_2Epconcat @ A_27c @ A_27d ) @ V5p ) @ V6lab ) @ V7p2 ) ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Epconcat__eq__stopped,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0p1: $i] :
% 5.66/5.91 ( ( mem @ V0p1 @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ! [V1lab: $i] :
% 5.66/5.91 ( ( mem @ V1lab @ A_27b )
% 5.66/5.91 => ! [V2p2: $i] :
% 5.66/5.91 ( ( mem @ V2p2 @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ! [V3x: $i] :
% 5.66/5.91 ( ( mem @ V3x @ A_27a )
% 5.66/5.91 => ( ( ( ap @ ( ap @ ( ap @ ( c_2Epath_2Epconcat @ A_27a @ A_27b ) @ V0p1 ) @ V1lab ) @ V2p2 )
% 5.66/5.91 != ( ap @ ( c_2Epath_2Estopped__at @ A_27a @ A_27b ) @ V3x ) )
% 5.66/5.91 & ( ( ap @ ( c_2Epath_2Estopped__at @ A_27a @ A_27b ) @ V3x )
% 5.66/5.91 != ( ap @ ( ap @ ( ap @ ( c_2Epath_2Epconcat @ A_27a @ A_27b ) @ V0p1 ) @ V1lab ) @ V2p2 ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Epconcat__eq__pcons,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0x: $i] :
% 5.66/5.91 ( ( mem @ V0x @ A_27a )
% 5.66/5.91 => ! [V1r: $i] :
% 5.66/5.91 ( ( mem @ V1r @ A_27b )
% 5.66/5.91 => ! [V2p: $i] :
% 5.66/5.91 ( ( mem @ V2p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ! [V3p1: $i] :
% 5.66/5.91 ( ( mem @ V3p1 @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ! [V4lab: $i] :
% 5.66/5.91 ( ( mem @ V4lab @ A_27b )
% 5.66/5.91 => ! [V5p2: $i] :
% 5.66/5.91 ( ( mem @ V5p2 @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( ( ( ap @ ( ap @ ( ap @ ( c_2Epath_2Epconcat @ A_27a @ A_27b ) @ V3p1 ) @ V4lab ) @ V5p2 )
% 5.66/5.91 = ( ap @ ( ap @ ( ap @ ( c_2Epath_2Epcons @ A_27a @ A_27b ) @ V0x ) @ V1r ) @ V2p ) )
% 5.66/5.91 <=> ( ( ( V4lab = V1r )
% 5.66/5.91 & ( V3p1
% 5.66/5.91 = ( ap @ ( c_2Epath_2Estopped__at @ A_27a @ A_27b ) @ V0x ) )
% 5.66/5.91 & ( V2p = V5p2 ) )
% 5.66/5.91 | ? [V6p1_27: $i] :
% 5.66/5.91 ( ( mem @ V6p1_27 @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 & ( V3p1
% 5.66/5.91 = ( ap @ ( ap @ ( ap @ ( c_2Epath_2Epcons @ A_27a @ A_27b ) @ V0x ) @ V1r ) @ V6p1_27 ) )
% 5.66/5.91 & ( V2p
% 5.66/5.91 = ( ap @ ( ap @ ( ap @ ( c_2Epath_2Epconcat @ A_27a @ A_27b ) @ V6p1_27 ) @ V4lab ) @ V5p2 ) ) ) ) )
% 5.66/5.91 & ( ( ( ap @ ( ap @ ( ap @ ( c_2Epath_2Epcons @ A_27a @ A_27b ) @ V0x ) @ V1r ) @ V2p )
% 5.66/5.91 = ( ap @ ( ap @ ( ap @ ( c_2Epath_2Epconcat @ A_27a @ A_27b ) @ V3p1 ) @ V4lab ) @ V5p2 ) )
% 5.66/5.91 <=> ( ( ( V4lab = V1r )
% 5.66/5.91 & ( V3p1
% 5.66/5.91 = ( ap @ ( c_2Epath_2Estopped__at @ A_27a @ A_27b ) @ V0x ) )
% 5.66/5.91 & ( V2p = V5p2 ) )
% 5.66/5.91 | ? [V7p1_27: $i] :
% 5.66/5.91 ( ( mem @ V7p1_27 @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 & ( V3p1
% 5.66/5.91 = ( ap @ ( ap @ ( ap @ ( c_2Epath_2Epcons @ A_27a @ A_27b ) @ V0x ) @ V1r ) @ V7p1_27 ) )
% 5.66/5.91 & ( V2p
% 5.66/5.91 = ( ap @ ( ap @ ( ap @ ( c_2Epath_2Epconcat @ A_27a @ A_27b ) @ V7p1_27 ) @ V4lab ) @ V5p2 ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Efinite__pconcat,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0p1: $i] :
% 5.66/5.91 ( ( mem @ V0p1 @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ! [V1lab: $i] :
% 5.66/5.91 ( ( mem @ V1lab @ A_27b )
% 5.66/5.91 => ! [V2p2: $i] :
% 5.66/5.91 ( ( mem @ V2p2 @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( p @ ( ap @ ( c_2Epath_2Efinite @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( ap @ ( c_2Epath_2Epconcat @ A_27a @ A_27b ) @ V0p1 ) @ V1lab ) @ V2p2 ) ) )
% 5.66/5.91 <=> ( ( p @ ( ap @ ( c_2Epath_2Efinite @ A_27a @ A_27b ) @ V0p1 ) )
% 5.66/5.91 & ( p @ ( ap @ ( c_2Epath_2Efinite @ A_27a @ A_27b ) @ V2p2 ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(ax_thm_2Epath_2EPL__def,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0p: $i] :
% 5.66/5.91 ( ( mem @ V0p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( ap @ ( c_2Epath_2EPL @ A_27a @ A_27b ) @ V0p )
% 5.66/5.91 = ( ap @ ( c_2Epred__set_2EGSPEC @ ty_2Enum_2Enum @ ty_2Enum_2Enum )
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V1i: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ bool ) @ V1i ) @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( c_2Epath_2Efinite @ A_27a @ A_27b ) @ V0p ) ) @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ V1i ) @ ( ap @ ( c_2Eoption_2ETHE @ ty_2Enum_2Enum ) @ ( ap @ ( c_2Epath_2Elength @ A_27a @ A_27b ) @ V0p ) ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Einfinite__PL,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0p: $i] :
% 5.66/5.91 ( ( mem @ V0p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ~ ( p @ ( ap @ ( c_2Epath_2Efinite @ A_27a @ A_27b ) @ V0p ) )
% 5.66/5.91 => ! [V1i: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V1i ) ) @ ( ap @ ( c_2Epath_2EPL @ A_27a @ A_27b ) @ V0p ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2EPL__pcons,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0x: $i] :
% 5.66/5.91 ( ( mem @ V0x @ A_27a )
% 5.66/5.91 => ! [V1r: $i] :
% 5.66/5.91 ( ( mem @ V1r @ A_27b )
% 5.66/5.91 => ! [V2q: $i] :
% 5.66/5.91 ( ( mem @ V2q @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( ap @ ( c_2Epath_2EPL @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( ap @ ( c_2Epath_2Epcons @ A_27a @ A_27b ) @ V0x ) @ V1r ) @ V2q ) )
% 5.66/5.91 = ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ c_2Enum_2ESUC ) @ ( ap @ ( c_2Epath_2EPL @ A_27a @ A_27b ) @ V2q ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2EPL__stopped__at,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0x: $i] :
% 5.66/5.91 ( ( mem @ V0x @ A_27a )
% 5.66/5.91 => ( ( ap @ ( c_2Epath_2EPL @ A_27a @ A_27b ) @ ( ap @ ( c_2Epath_2Estopped__at @ A_27a @ A_27b ) @ V0x ) )
% 5.66/5.91 = ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( c_2Epred__set_2EEMPTY @ ty_2Enum_2Enum ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2EPL__thm,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del] :
% 5.66/5.91 ( ! [V0x: $i] :
% 5.66/5.91 ( ( mem @ V0x @ A_27a )
% 5.66/5.91 => ( ( ap @ ( c_2Epath_2EPL @ A_27a @ A_27b ) @ ( ap @ ( c_2Epath_2Estopped__at @ A_27a @ A_27b ) @ V0x ) )
% 5.66/5.91 = ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( c_2Epred__set_2EEMPTY @ ty_2Enum_2Enum ) ) ) )
% 5.66/5.91 & ! [V1x: $i] :
% 5.66/5.91 ( ( mem @ V1x @ A_27a )
% 5.66/5.91 => ! [V2r: $i] :
% 5.66/5.91 ( ( mem @ V2r @ A_27b )
% 5.66/5.91 => ! [V3q: $i] :
% 5.66/5.91 ( ( mem @ V3q @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( ap @ ( c_2Epath_2EPL @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( ap @ ( c_2Epath_2Epcons @ A_27a @ A_27b ) @ V1x ) @ V2r ) @ V3q ) )
% 5.66/5.91 = ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ c_2Enum_2ESUC ) @ ( ap @ ( c_2Epath_2EPL @ A_27a @ A_27b ) @ V3q ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2EPL__0,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0p: $i] :
% 5.66/5.91 ( ( mem @ V0p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ ( c_2Epath_2EPL @ A_27a @ A_27b ) @ V0p ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2EPL__downward__closed,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0i: tp__ty_2Enum_2Enum,V1p: $i] :
% 5.66/5.91 ( ( mem @ V1p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V0i ) ) @ ( ap @ ( c_2Epath_2EPL @ A_27a @ A_27b ) @ V1p ) ) )
% 5.66/5.91 => ! [V2j: tp__ty_2Enum_2Enum] :
% 5.66/5.91 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V2j ) ) @ ( inj__ty_2Enum_2Enum @ V0i ) ) )
% 5.66/5.91 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V2j ) ) @ ( ap @ ( c_2Epath_2EPL @ A_27a @ A_27b ) @ V1p ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2EPL__pmap,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0f: $i] :
% 5.66/5.91 ( ( mem @ V0f @ ( arr @ A_27c @ A_27a ) )
% 5.66/5.91 => ! [V1g: $i] :
% 5.66/5.91 ( ( mem @ V1g @ ( arr @ A_27d @ A_27b ) )
% 5.66/5.91 => ! [V2p: $i] :
% 5.66/5.91 ( ( mem @ V2p @ ( ty_2Epath_2Epath @ A_27c @ A_27d ) )
% 5.66/5.91 => ( ( ap @ ( c_2Epath_2EPL @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( ap @ ( c_2Epath_2Epmap @ A_27c @ A_27d @ A_27a @ A_27b ) @ V0f ) @ V1g ) @ V2p ) )
% 5.66/5.91 = ( ap @ ( c_2Epath_2EPL @ A_27c @ A_27d ) @ V2p ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Eel__pmap,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0f: $i] :
% 5.66/5.91 ( ( mem @ V0f @ ( arr @ A_27a @ A_27c ) )
% 5.66/5.91 => ! [V1g: $i] :
% 5.66/5.91 ( ( mem @ V1g @ ( arr @ A_27b @ A_27d ) )
% 5.66/5.91 => ! [V2i: tp__ty_2Enum_2Enum,V3p: $i] :
% 5.66/5.91 ( ( mem @ V3p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V2i ) ) @ ( ap @ ( c_2Epath_2EPL @ A_27a @ A_27b ) @ V3p ) ) )
% 5.66/5.91 => ( ( ap @ ( ap @ ( c_2Epath_2Eel @ A_27c @ A_27d ) @ ( inj__ty_2Enum_2Enum @ V2i ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Epath_2Epmap @ A_27a @ A_27b @ A_27c @ A_27d ) @ V0f ) @ V1g ) @ V3p ) )
% 5.66/5.91 = ( ap @ V0f @ ( ap @ ( ap @ ( c_2Epath_2Eel @ A_27a @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V2i ) ) @ V3p ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Enth__label__pmap,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0f: $i] :
% 5.66/5.91 ( ( mem @ V0f @ ( arr @ A_27a @ A_27d ) )
% 5.66/5.91 => ! [V1g: $i] :
% 5.66/5.91 ( ( mem @ V1g @ ( arr @ A_27b @ A_27c ) )
% 5.66/5.91 => ! [V2i: tp__ty_2Enum_2Enum,V3p: $i] :
% 5.66/5.91 ( ( mem @ V3p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ty_2Enum_2Enum ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V2i ) ) ) @ ( ap @ ( c_2Epath_2EPL @ A_27a @ A_27b ) @ V3p ) ) )
% 5.66/5.91 => ( ( ap @ ( ap @ ( c_2Epath_2Enth__label @ A_27c @ A_27d ) @ ( inj__ty_2Enum_2Enum @ V2i ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Epath_2Epmap @ A_27a @ A_27b @ A_27d @ A_27c ) @ V0f ) @ V1g ) @ V3p ) )
% 5.66/5.91 = ( ap @ V1g @ ( ap @ ( ap @ ( c_2Epath_2Enth__label @ A_27b @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V2i ) ) @ V3p ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(ax_thm_2Epath_2EfirstP__at__def,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.66/5.91 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.66/5.91 => ! [V1p: $i] :
% 5.66/5.91 ( ( mem @ V1p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ! [V2i: tp__ty_2Enum_2Enum] :
% 5.66/5.91 ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epath_2EfirstP__at @ A_27a @ A_27b ) @ V0P ) @ V1p ) @ ( inj__ty_2Enum_2Enum @ V2i ) ) )
% 5.66/5.91 <=> ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V2i ) ) @ ( ap @ ( c_2Epath_2EPL @ A_27a @ A_27b ) @ V1p ) ) )
% 5.66/5.91 & ( p @ ( ap @ V0P @ ( ap @ ( ap @ ( c_2Epath_2Eel @ A_27a @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V2i ) ) @ V1p ) ) )
% 5.66/5.91 & ! [V3j: tp__ty_2Enum_2Enum] :
% 5.66/5.91 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V3j ) ) @ ( inj__ty_2Enum_2Enum @ V2i ) ) )
% 5.66/5.91 => ~ ( p @ ( ap @ V0P @ ( ap @ ( ap @ ( c_2Epath_2Eel @ A_27a @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V3j ) ) @ V1p ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2EfirstP__at__thm,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del] :
% 5.66/5.91 ( ! [V0P: $i] :
% 5.66/5.91 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.66/5.91 => ! [V1x: $i] :
% 5.66/5.91 ( ( mem @ V1x @ A_27a )
% 5.66/5.91 => ! [V2n: tp__ty_2Enum_2Enum] :
% 5.66/5.91 ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epath_2EfirstP__at @ A_27a @ A_27b ) @ V0P ) @ ( ap @ ( c_2Epath_2Estopped__at @ A_27a @ A_27b ) @ V1x ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) )
% 5.66/5.91 <=> ( ( V2n = fo__c_2Enum_2E0 )
% 5.66/5.91 & ( p @ ( ap @ V0P @ V1x ) ) ) ) ) )
% 5.66/5.91 & ! [V3P: $i] :
% 5.66/5.91 ( ( mem @ V3P @ ( arr @ A_27a @ bool ) )
% 5.66/5.91 => ! [V4n: tp__ty_2Enum_2Enum,V5x: $i] :
% 5.66/5.91 ( ( mem @ V5x @ A_27a )
% 5.66/5.91 => ! [V6r: $i] :
% 5.66/5.91 ( ( mem @ V6r @ A_27b )
% 5.66/5.91 => ! [V7p: $i] :
% 5.66/5.91 ( ( mem @ V7p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epath_2EfirstP__at @ A_27a @ A_27b ) @ V3P ) @ ( ap @ ( ap @ ( ap @ ( c_2Epath_2Epcons @ A_27a @ A_27b ) @ V5x ) @ V6r ) @ V7p ) ) @ ( inj__ty_2Enum_2Enum @ V4n ) ) )
% 5.66/5.91 <=> ( ( ( V4n = fo__c_2Enum_2E0 )
% 5.66/5.91 & ( p @ ( ap @ V3P @ V5x ) ) )
% 5.66/5.91 | ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V4n ) ) )
% 5.66/5.91 & ~ ( p @ ( ap @ V3P @ V5x ) )
% 5.66/5.91 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epath_2EfirstP__at @ A_27a @ A_27b ) @ V3P ) @ V7p ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V4n ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2EfirstP__at__zero,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.66/5.91 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.66/5.91 => ! [V1p: $i] :
% 5.66/5.91 ( ( mem @ V1p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epath_2EfirstP__at @ A_27a @ A_27b ) @ V0P ) @ V1p ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.66/5.91 <=> ( p @ ( ap @ V0P @ ( ap @ ( c_2Epath_2Efirst @ A_27a @ A_27b ) @ V1p ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(ax_thm_2Epath_2Eexists__def,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.66/5.91 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.66/5.91 => ! [V1p: $i] :
% 5.66/5.91 ( ( mem @ V1p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( p @ ( ap @ ( ap @ ( c_2Epath_2Eexists @ A_27a @ A_27b ) @ V0P ) @ V1p ) )
% 5.66/5.91 <=> ? [V2i: tp__ty_2Enum_2Enum] : ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epath_2EfirstP__at @ A_27a @ A_27b ) @ V0P ) @ V1p ) @ ( inj__ty_2Enum_2Enum @ V2i ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(ax_thm_2Epath_2Eevery__def,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.66/5.91 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.66/5.91 => ! [V1p: $i] :
% 5.66/5.91 ( ( mem @ V1p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( p @ ( ap @ ( ap @ ( c_2Epath_2Eevery @ A_27a @ A_27b ) @ V0P ) @ V1p ) )
% 5.66/5.91 <=> ~ ( p @ ( ap @ ( ap @ ( c_2Epath_2Eexists @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27a @ bool @ bool ) @ c_2Ebool_2E_7E ) @ V0P ) ) @ V1p ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Eexists__thm,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,A_27c: del,V0P: $i] :
% 5.66/5.91 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.66/5.91 => ( ! [V1x: $i] :
% 5.66/5.91 ( ( mem @ V1x @ A_27a )
% 5.66/5.91 => ( ( p @ ( ap @ ( ap @ ( c_2Epath_2Eexists @ A_27a @ A_27b ) @ V0P ) @ ( ap @ ( c_2Epath_2Estopped__at @ A_27a @ A_27b ) @ V1x ) ) )
% 5.66/5.91 <=> ( p @ ( ap @ V0P @ V1x ) ) ) )
% 5.66/5.91 & ! [V2x: $i] :
% 5.66/5.91 ( ( mem @ V2x @ A_27a )
% 5.66/5.91 => ! [V3r: $i] :
% 5.66/5.91 ( ( mem @ V3r @ A_27c )
% 5.66/5.91 => ! [V4p: $i] :
% 5.66/5.91 ( ( mem @ V4p @ ( ty_2Epath_2Epath @ A_27a @ A_27c ) )
% 5.66/5.91 => ( ( p @ ( ap @ ( ap @ ( c_2Epath_2Eexists @ A_27a @ A_27c ) @ V0P ) @ ( ap @ ( ap @ ( ap @ ( c_2Epath_2Epcons @ A_27a @ A_27c ) @ V2x ) @ V3r ) @ V4p ) ) )
% 5.66/5.91 <=> ( ( p @ ( ap @ V0P @ V2x ) )
% 5.66/5.91 | ( p @ ( ap @ ( ap @ ( c_2Epath_2Eexists @ A_27a @ A_27c ) @ V0P ) @ V4p ) ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Eevery__thm,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,A_27c: del,V0P: $i] :
% 5.66/5.91 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.66/5.91 => ( ! [V1x: $i] :
% 5.66/5.91 ( ( mem @ V1x @ A_27a )
% 5.66/5.91 => ( ( p @ ( ap @ ( ap @ ( c_2Epath_2Eevery @ A_27a @ A_27b ) @ V0P ) @ ( ap @ ( c_2Epath_2Estopped__at @ A_27a @ A_27b ) @ V1x ) ) )
% 5.66/5.91 <=> ( p @ ( ap @ V0P @ V1x ) ) ) )
% 5.66/5.91 & ! [V2x: $i] :
% 5.66/5.91 ( ( mem @ V2x @ A_27a )
% 5.66/5.91 => ! [V3r: $i] :
% 5.66/5.91 ( ( mem @ V3r @ A_27c )
% 5.66/5.91 => ! [V4p: $i] :
% 5.66/5.91 ( ( mem @ V4p @ ( ty_2Epath_2Epath @ A_27a @ A_27c ) )
% 5.66/5.91 => ( ( p @ ( ap @ ( ap @ ( c_2Epath_2Eevery @ A_27a @ A_27c ) @ V0P ) @ ( ap @ ( ap @ ( ap @ ( c_2Epath_2Epcons @ A_27a @ A_27c ) @ V2x ) @ V3r ) @ V4p ) ) )
% 5.66/5.91 <=> ( ( p @ ( ap @ V0P @ V2x ) )
% 5.66/5.91 & ( p @ ( ap @ ( ap @ ( c_2Epath_2Eevery @ A_27a @ A_27c ) @ V0P ) @ V4p ) ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Enot__every,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.66/5.91 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.66/5.91 => ! [V1p: $i] :
% 5.66/5.91 ( ( mem @ V1p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ~ ( p @ ( ap @ ( ap @ ( c_2Epath_2Eevery @ A_27a @ A_27b ) @ V0P ) @ V1p ) )
% 5.66/5.91 <=> ( p @ ( ap @ ( ap @ ( c_2Epath_2Eexists @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27a @ bool @ bool ) @ c_2Ebool_2E_7E ) @ V0P ) ) @ V1p ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Enot__exists,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.66/5.91 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.66/5.91 => ! [V1p: $i] :
% 5.66/5.91 ( ( mem @ V1p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ~ ( p @ ( ap @ ( ap @ ( c_2Epath_2Eexists @ A_27a @ A_27b ) @ V0P ) @ V1p ) )
% 5.66/5.91 <=> ( p @ ( ap @ ( ap @ ( c_2Epath_2Eevery @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27a @ bool @ bool ) @ c_2Ebool_2E_7E ) @ V0P ) ) @ V1p ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Eexists__el,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.66/5.91 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.66/5.91 => ! [V1p: $i] :
% 5.66/5.91 ( ( mem @ V1p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( p @ ( ap @ ( ap @ ( c_2Epath_2Eexists @ A_27a @ A_27b ) @ V0P ) @ V1p ) )
% 5.66/5.91 <=> ? [V2i: tp__ty_2Enum_2Enum] :
% 5.66/5.91 ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V2i ) ) @ ( ap @ ( c_2Epath_2EPL @ A_27a @ A_27b ) @ V1p ) ) )
% 5.66/5.91 & ( p @ ( ap @ V0P @ ( ap @ ( ap @ ( c_2Epath_2Eel @ A_27a @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V2i ) ) @ V1p ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Eevery__el,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.66/5.91 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.66/5.91 => ! [V1p: $i] :
% 5.66/5.91 ( ( mem @ V1p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( p @ ( ap @ ( ap @ ( c_2Epath_2Eevery @ A_27a @ A_27b ) @ V0P ) @ V1p ) )
% 5.66/5.91 <=> ! [V2i: tp__ty_2Enum_2Enum] :
% 5.66/5.91 ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V2i ) ) @ ( ap @ ( c_2Epath_2EPL @ A_27a @ A_27b ) @ V1p ) ) )
% 5.66/5.91 => ( p @ ( ap @ V0P @ ( ap @ ( ap @ ( c_2Epath_2Eel @ A_27a @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V2i ) ) @ V1p ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Eevery__coinduction,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.66/5.91 ( ( mem @ V0P @ ( arr @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) @ bool ) )
% 5.66/5.91 => ! [V1Q: $i] :
% 5.66/5.91 ( ( mem @ V1Q @ ( arr @ A_27a @ bool ) )
% 5.66/5.91 => ( ( ! [V2x: $i] :
% 5.66/5.91 ( ( mem @ V2x @ A_27a )
% 5.66/5.91 => ( ( p @ ( ap @ V0P @ ( ap @ ( c_2Epath_2Estopped__at @ A_27a @ A_27b ) @ V2x ) ) )
% 5.66/5.91 => ( p @ ( ap @ V1Q @ V2x ) ) ) )
% 5.66/5.91 & ! [V3x: $i] :
% 5.66/5.91 ( ( mem @ V3x @ A_27a )
% 5.66/5.91 => ! [V4r: $i] :
% 5.66/5.91 ( ( mem @ V4r @ A_27b )
% 5.66/5.91 => ! [V5p: $i] :
% 5.66/5.91 ( ( mem @ V5p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( p @ ( ap @ V0P @ ( ap @ ( ap @ ( ap @ ( c_2Epath_2Epcons @ A_27a @ A_27b ) @ V3x ) @ V4r ) @ V5p ) ) )
% 5.66/5.91 => ( ( p @ ( ap @ V1Q @ V3x ) )
% 5.66/5.91 & ( p @ ( ap @ V0P @ V5p ) ) ) ) ) ) ) )
% 5.66/5.91 => ! [V6p: $i] :
% 5.66/5.91 ( ( mem @ V6p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( p @ ( ap @ V0P @ V6p ) )
% 5.66/5.91 => ( p @ ( ap @ ( ap @ ( c_2Epath_2Eevery @ A_27a @ A_27b ) @ V1Q ) @ V6p ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Eexists__induction,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0Q: $i] :
% 5.66/5.91 ( ( mem @ V0Q @ ( arr @ A_27a @ bool ) )
% 5.66/5.91 => ! [V1P: $i] :
% 5.66/5.91 ( ( mem @ V1P @ ( arr @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) @ bool ) )
% 5.66/5.91 => ( ( ! [V2x: $i] :
% 5.66/5.91 ( ( mem @ V2x @ A_27a )
% 5.66/5.91 => ( ( p @ ( ap @ V0Q @ V2x ) )
% 5.66/5.91 => ( p @ ( ap @ V1P @ ( ap @ ( c_2Epath_2Estopped__at @ A_27a @ A_27b ) @ V2x ) ) ) ) )
% 5.66/5.91 & ! [V3x: $i] :
% 5.66/5.91 ( ( mem @ V3x @ A_27a )
% 5.66/5.91 => ! [V4r: $i] :
% 5.66/5.91 ( ( mem @ V4r @ A_27b )
% 5.66/5.91 => ! [V5p: $i] :
% 5.66/5.91 ( ( mem @ V5p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( p @ ( ap @ V0Q @ V3x ) )
% 5.66/5.91 => ( p @ ( ap @ V1P @ ( ap @ ( ap @ ( ap @ ( c_2Epath_2Epcons @ A_27a @ A_27b ) @ V3x ) @ V4r ) @ V5p ) ) ) ) ) ) )
% 5.66/5.91 & ! [V6x: $i] :
% 5.66/5.91 ( ( mem @ V6x @ A_27a )
% 5.66/5.91 => ! [V7r: $i] :
% 5.66/5.91 ( ( mem @ V7r @ A_27b )
% 5.66/5.91 => ! [V8p: $i] :
% 5.66/5.91 ( ( mem @ V8p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( p @ ( ap @ V1P @ V8p ) )
% 5.66/5.91 => ( p @ ( ap @ V1P @ ( ap @ ( ap @ ( ap @ ( c_2Epath_2Epcons @ A_27a @ A_27b ) @ V6x ) @ V7r ) @ V8p ) ) ) ) ) ) ) )
% 5.66/5.91 => ! [V9p: $i] :
% 5.66/5.91 ( ( mem @ V9p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( p @ ( ap @ ( ap @ ( c_2Epath_2Eexists @ A_27a @ A_27b ) @ V0Q ) @ V9p ) )
% 5.66/5.91 => ( p @ ( ap @ V1P @ V9p ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(ax_thm_2Epath_2Emem__def,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.66/5.91 ( ( mem @ V0s @ A_27a )
% 5.66/5.91 => ! [V1p: $i] :
% 5.66/5.91 ( ( mem @ V1p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( p @ ( ap @ ( ap @ ( c_2Epath_2Emem @ A_27a @ A_27b ) @ V0s ) @ V1p ) )
% 5.66/5.91 <=> ? [V2i: tp__ty_2Enum_2Enum] :
% 5.66/5.91 ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V2i ) ) @ ( ap @ ( c_2Epath_2EPL @ A_27a @ A_27b ) @ V1p ) ) )
% 5.66/5.91 & ( V0s
% 5.66/5.91 = ( ap @ ( ap @ ( c_2Epath_2Eel @ A_27a @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V2i ) ) @ V1p ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Emem__thm,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del] :
% 5.66/5.91 ( ! [V0x: $i] :
% 5.66/5.91 ( ( mem @ V0x @ A_27a )
% 5.66/5.91 => ! [V1s: $i] :
% 5.66/5.91 ( ( mem @ V1s @ A_27a )
% 5.66/5.91 => ( ( p @ ( ap @ ( ap @ ( c_2Epath_2Emem @ A_27a @ A_27b ) @ V1s ) @ ( ap @ ( c_2Epath_2Estopped__at @ A_27a @ A_27b ) @ V0x ) ) )
% 5.66/5.91 <=> ( V1s = V0x ) ) ) )
% 5.66/5.91 & ! [V2x: $i] :
% 5.66/5.91 ( ( mem @ V2x @ A_27c )
% 5.66/5.91 => ! [V3r: $i] :
% 5.66/5.91 ( ( mem @ V3r @ A_27d )
% 5.66/5.91 => ! [V4p: $i] :
% 5.66/5.91 ( ( mem @ V4p @ ( ty_2Epath_2Epath @ A_27c @ A_27d ) )
% 5.66/5.91 => ! [V5s: $i] :
% 5.66/5.91 ( ( mem @ V5s @ A_27c )
% 5.66/5.91 => ( ( p @ ( ap @ ( ap @ ( c_2Epath_2Emem @ A_27c @ A_27d ) @ V5s ) @ ( ap @ ( ap @ ( ap @ ( c_2Epath_2Epcons @ A_27c @ A_27d ) @ V2x ) @ V3r ) @ V4p ) ) )
% 5.66/5.91 <=> ( ( V5s = V2x )
% 5.66/5.91 | ( p @ ( ap @ ( ap @ ( c_2Epath_2Emem @ A_27c @ A_27d ) @ V5s ) @ V4p ) ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(ax_thm_2Epath_2Edrop__def,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del] :
% 5.66/5.91 ( ! [V0p: $i] :
% 5.66/5.91 ( ( mem @ V0p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( ap @ ( ap @ ( c_2Epath_2Edrop @ A_27a @ A_27b ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ V0p )
% 5.66/5.91 = V0p ) )
% 5.66/5.91 & ! [V1n: tp__ty_2Enum_2Enum,V2p: $i] :
% 5.66/5.91 ( ( mem @ V2p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( ap @ ( ap @ ( c_2Epath_2Edrop @ A_27a @ A_27b ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ V2p )
% 5.66/5.91 = ( ap @ ( ap @ ( c_2Epath_2Edrop @ A_27a @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ ( c_2Epath_2Etail @ A_27a @ A_27b ) @ V2p ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Edrop__def__compute,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del] :
% 5.66/5.91 ( ! [V0p: $i] :
% 5.66/5.91 ( ( mem @ V0p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( ap @ ( ap @ ( c_2Epath_2Edrop @ A_27a @ A_27b ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ V0p )
% 5.66/5.91 = V0p ) )
% 5.66/5.91 & ! [V1n: tp__ty_2Enum_2Enum,V2p: $i] :
% 5.66/5.91 ( ( mem @ V2p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( ap @ ( ap @ ( c_2Epath_2Edrop @ A_27a @ A_27b ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) @ V2p )
% 5.66/5.91 = ( ap @ ( ap @ ( c_2Epath_2Edrop @ A_27a @ A_27b ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( c_2Epath_2Etail @ A_27a @ A_27b ) @ V2p ) ) ) )
% 5.66/5.91 & ! [V3n: tp__ty_2Enum_2Enum,V4p: $i] :
% 5.66/5.91 ( ( mem @ V4p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( ap @ ( ap @ ( c_2Epath_2Edrop @ A_27a @ A_27b ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) ) @ V4p )
% 5.66/5.91 = ( ap @ ( ap @ ( c_2Epath_2Edrop @ A_27a @ A_27b ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) ) @ ( ap @ ( c_2Epath_2Etail @ A_27a @ A_27b ) @ V4p ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Enumeral__drop,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del] :
% 5.66/5.91 ( ! [V0n: tp__ty_2Enum_2Enum,V1p: $i] :
% 5.66/5.91 ( ( mem @ V1p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( ap @ ( ap @ ( c_2Epath_2Edrop @ A_27a @ A_27b ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) @ V1p )
% 5.66/5.91 = ( ap @ ( ap @ ( c_2Epath_2Edrop @ A_27a @ A_27b ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( c_2Epath_2Etail @ A_27a @ A_27b ) @ V1p ) ) ) )
% 5.66/5.91 & ! [V2n: tp__ty_2Enum_2Enum,V3p: $i] :
% 5.66/5.91 ( ( mem @ V3p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( ap @ ( ap @ ( c_2Epath_2Edrop @ A_27a @ A_27b ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) @ V3p )
% 5.66/5.91 = ( ap @ ( ap @ ( c_2Epath_2Edrop @ A_27a @ A_27b ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) @ ( ap @ ( c_2Epath_2Etail @ A_27a @ A_27b ) @ V3p ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Efinite__drop,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0p: $i] :
% 5.66/5.91 ( ( mem @ V0p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ! [V1n: tp__ty_2Enum_2Enum] :
% 5.66/5.91 ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ ( c_2Epath_2EPL @ A_27a @ A_27b ) @ V0p ) ) )
% 5.66/5.91 => ( ( p @ ( ap @ ( c_2Epath_2Efinite @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Epath_2Edrop @ A_27a @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ V0p ) ) )
% 5.66/5.91 <=> ( p @ ( ap @ ( c_2Epath_2Efinite @ A_27a @ A_27b ) @ V0p ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Elength__drop,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0p: $i] :
% 5.66/5.91 ( ( mem @ V0p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ! [V1n: tp__ty_2Enum_2Enum] :
% 5.66/5.91 ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ ( c_2Epath_2EPL @ A_27a @ A_27b ) @ V0p ) ) )
% 5.66/5.91 => ( ( surj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ ( ap @ ( c_2Epath_2Elength @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Epath_2Edrop @ A_27a @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ V0p ) ) )
% 5.66/5.91 = ( surj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum
% 5.66/5.91 @ ( ap @ ( ap @ ( ap @ ( c_2Eoption_2Eoption__CASE @ ty_2Enum_2Enum @ ( ty_2Eoption_2Eoption @ ty_2Enum_2Enum ) ) @ ( ap @ ( c_2Epath_2Elength @ A_27a @ A_27b ) @ V0p ) ) @ ( c_2Eoption_2ENONE @ ty_2Enum_2Enum ) )
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V2m: $i] : ( ap @ ( c_2Eoption_2ESOME @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ V2m ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2EPL__drop,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0p: $i] :
% 5.66/5.91 ( ( mem @ V0p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ! [V1i: tp__ty_2Enum_2Enum] :
% 5.66/5.91 ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V1i ) ) @ ( ap @ ( c_2Epath_2EPL @ A_27a @ A_27b ) @ V0p ) ) )
% 5.66/5.91 => ( ( ap @ ( c_2Epath_2EPL @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Epath_2Edrop @ A_27a @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V1i ) ) @ V0p ) )
% 5.66/5.91 = ( ap
% 5.66/5.91 @ ( ap @ ( c_2Epred__set_2EIMAGE @ ty_2Enum_2Enum @ ty_2Enum_2Enum )
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V2n: $i] : ( ap @ ( ap @ c_2Earithmetic_2E_2D @ V2n ) @ ( inj__ty_2Enum_2Enum @ V1i ) ) ) )
% 5.66/5.91 @ ( ap @ ( c_2Epath_2EPL @ A_27a @ A_27b ) @ V0p ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2EIN__PL__drop,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0i: tp__ty_2Enum_2Enum,V1j: tp__ty_2Enum_2Enum,V2p: $i] :
% 5.66/5.91 ( ( mem @ V2p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V0i ) ) @ ( ap @ ( c_2Epath_2EPL @ A_27a @ A_27b ) @ V2p ) ) )
% 5.66/5.91 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V1j ) ) @ ( ap @ ( c_2Epath_2EPL @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Epath_2Edrop @ A_27a @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V0i ) ) @ V2p ) ) ) )
% 5.66/5.91 <=> ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0i ) ) @ ( inj__ty_2Enum_2Enum @ V1j ) ) ) @ ( ap @ ( c_2Epath_2EPL @ A_27a @ A_27b ) @ V2p ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Efirst__drop,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0i: tp__ty_2Enum_2Enum,V1p: $i] :
% 5.66/5.91 ( ( mem @ V1p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V0i ) ) @ ( ap @ ( c_2Epath_2EPL @ A_27a @ A_27b ) @ V1p ) ) )
% 5.66/5.91 => ( ( ap @ ( c_2Epath_2Efirst @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Epath_2Edrop @ A_27a @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V0i ) ) @ V1p ) )
% 5.66/5.91 = ( ap @ ( ap @ ( c_2Epath_2Eel @ A_27a @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V0i ) ) @ V1p ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Efirst__label__drop,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0i: tp__ty_2Enum_2Enum,V1p: $i] :
% 5.66/5.91 ( ( mem @ V1p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V0i ) ) @ ( ap @ ( c_2Epath_2EPL @ A_27a @ A_27b ) @ V1p ) ) )
% 5.66/5.91 => ( ( ap @ ( c_2Epath_2Efirst__label @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Epath_2Edrop @ A_27a @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V0i ) ) @ V1p ) )
% 5.66/5.91 = ( ap @ ( ap @ ( c_2Epath_2Enth__label @ A_27b @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0i ) ) @ V1p ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Etail__drop,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0i: tp__ty_2Enum_2Enum,V1p: $i] :
% 5.66/5.91 ( ( mem @ V1p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0i ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( c_2Epath_2EPL @ A_27a @ A_27b ) @ V1p ) ) )
% 5.66/5.91 => ( ( ap @ ( c_2Epath_2Etail @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Epath_2Edrop @ A_27a @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V0i ) ) @ V1p ) )
% 5.66/5.91 = ( ap @ ( ap @ ( c_2Epath_2Edrop @ A_27a @ A_27b ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0i ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ V1p ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Eel__drop,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0i: tp__ty_2Enum_2Enum,V1j: tp__ty_2Enum_2Enum,V2p: $i] :
% 5.66/5.91 ( ( mem @ V2p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0i ) ) @ ( inj__ty_2Enum_2Enum @ V1j ) ) ) @ ( ap @ ( c_2Epath_2EPL @ A_27a @ A_27b ) @ V2p ) ) )
% 5.66/5.91 => ( ( ap @ ( ap @ ( c_2Epath_2Eel @ A_27a @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V0i ) ) @ ( ap @ ( ap @ ( c_2Epath_2Edrop @ A_27a @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V1j ) ) @ V2p ) )
% 5.66/5.91 = ( ap @ ( ap @ ( c_2Epath_2Eel @ A_27a @ A_27b ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0i ) ) @ ( inj__ty_2Enum_2Enum @ V1j ) ) ) @ V2p ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Enth__label__drop,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0i: tp__ty_2Enum_2Enum,V1j: tp__ty_2Enum_2Enum,V2p: $i] :
% 5.66/5.91 ( ( mem @ V2p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ty_2Enum_2Enum ) @ ( ap @ c_2Enum_2ESUC @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0i ) ) @ ( inj__ty_2Enum_2Enum @ V1j ) ) ) ) @ ( ap @ ( c_2Epath_2EPL @ A_27a @ A_27b ) @ V2p ) ) )
% 5.66/5.91 => ( ( ap @ ( ap @ ( c_2Epath_2Enth__label @ A_27b @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0i ) ) @ ( ap @ ( ap @ ( c_2Epath_2Edrop @ A_27a @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V1j ) ) @ V2p ) )
% 5.66/5.91 = ( ap @ ( ap @ ( c_2Epath_2Enth__label @ A_27b @ A_27a ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0i ) ) @ ( inj__ty_2Enum_2Enum @ V1j ) ) ) @ V2p ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(ax_thm_2Epath_2Etake__def,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del] :
% 5.66/5.91 ( ! [V0p: $i] :
% 5.66/5.91 ( ( mem @ V0p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( ap @ ( ap @ ( c_2Epath_2Etake @ A_27a @ A_27b ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ V0p )
% 5.66/5.91 = ( ap @ ( c_2Epath_2Estopped__at @ A_27a @ A_27b ) @ ( ap @ ( c_2Epath_2Efirst @ A_27a @ A_27b ) @ V0p ) ) ) )
% 5.66/5.91 & ! [V1n: tp__ty_2Enum_2Enum,V2p: $i] :
% 5.66/5.91 ( ( mem @ V2p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( ap @ ( ap @ ( c_2Epath_2Etake @ A_27a @ A_27b ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ V2p )
% 5.66/5.91 = ( ap @ ( ap @ ( ap @ ( c_2Epath_2Epcons @ A_27a @ A_27b ) @ ( ap @ ( c_2Epath_2Efirst @ A_27a @ A_27b ) @ V2p ) ) @ ( ap @ ( c_2Epath_2Efirst__label @ A_27a @ A_27b ) @ V2p ) ) @ ( ap @ ( ap @ ( c_2Epath_2Etake @ A_27a @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ ( c_2Epath_2Etail @ A_27a @ A_27b ) @ V2p ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Etake__def__compute,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del] :
% 5.66/5.91 ( ! [V0p: $i] :
% 5.66/5.91 ( ( mem @ V0p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( ap @ ( ap @ ( c_2Epath_2Etake @ A_27a @ A_27b ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ V0p )
% 5.66/5.91 = ( ap @ ( c_2Epath_2Estopped__at @ A_27a @ A_27b ) @ ( ap @ ( c_2Epath_2Efirst @ A_27a @ A_27b ) @ V0p ) ) ) )
% 5.66/5.91 & ! [V1n: tp__ty_2Enum_2Enum,V2p: $i] :
% 5.66/5.91 ( ( mem @ V2p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( ap @ ( ap @ ( c_2Epath_2Etake @ A_27a @ A_27b ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) @ V2p )
% 5.66/5.91 = ( ap @ ( ap @ ( ap @ ( c_2Epath_2Epcons @ A_27a @ A_27b ) @ ( ap @ ( c_2Epath_2Efirst @ A_27a @ A_27b ) @ V2p ) ) @ ( ap @ ( c_2Epath_2Efirst__label @ A_27a @ A_27b ) @ V2p ) ) @ ( ap @ ( ap @ ( c_2Epath_2Etake @ A_27a @ A_27b ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( c_2Epath_2Etail @ A_27a @ A_27b ) @ V2p ) ) ) ) )
% 5.66/5.91 & ! [V3n: tp__ty_2Enum_2Enum,V4p: $i] :
% 5.66/5.91 ( ( mem @ V4p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( ap @ ( ap @ ( c_2Epath_2Etake @ A_27a @ A_27b ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) ) @ V4p )
% 5.66/5.91 = ( ap @ ( ap @ ( ap @ ( c_2Epath_2Epcons @ A_27a @ A_27b ) @ ( ap @ ( c_2Epath_2Efirst @ A_27a @ A_27b ) @ V4p ) ) @ ( ap @ ( c_2Epath_2Efirst__label @ A_27a @ A_27b ) @ V4p ) ) @ ( ap @ ( ap @ ( c_2Epath_2Etake @ A_27a @ A_27b ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) ) @ ( ap @ ( c_2Epath_2Etail @ A_27a @ A_27b ) @ V4p ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Efirst__take,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0p: $i] :
% 5.66/5.91 ( ( mem @ V0p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ! [V1i: tp__ty_2Enum_2Enum] :
% 5.66/5.91 ( ( ap @ ( c_2Epath_2Efirst @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Epath_2Etake @ A_27a @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V1i ) ) @ V0p ) )
% 5.66/5.91 = ( ap @ ( c_2Epath_2Efirst @ A_27a @ A_27b ) @ V0p ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Efinite__take,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0p: $i] :
% 5.66/5.91 ( ( mem @ V0p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ! [V1i: tp__ty_2Enum_2Enum] :
% 5.66/5.91 ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V1i ) ) @ ( ap @ ( c_2Epath_2EPL @ A_27a @ A_27b ) @ V0p ) ) )
% 5.66/5.91 => ( p @ ( ap @ ( c_2Epath_2Efinite @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Epath_2Etake @ A_27a @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V1i ) ) @ V0p ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Elength__take,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0p: $i] :
% 5.66/5.91 ( ( mem @ V0p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ! [V1i: tp__ty_2Enum_2Enum] :
% 5.66/5.91 ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V1i ) ) @ ( ap @ ( c_2Epath_2EPL @ A_27a @ A_27b ) @ V0p ) ) )
% 5.66/5.91 => ( ( surj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ ( ap @ ( c_2Epath_2Elength @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Epath_2Etake @ A_27a @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V1i ) ) @ V0p ) ) )
% 5.66/5.91 = ( surj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ ( ap @ ( c_2Eoption_2ESOME @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V1i ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2EPL__take,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0p: $i] :
% 5.66/5.91 ( ( mem @ V0p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ! [V1i: tp__ty_2Enum_2Enum] :
% 5.66/5.91 ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V1i ) ) @ ( ap @ ( c_2Epath_2EPL @ A_27a @ A_27b ) @ V0p ) ) )
% 5.66/5.91 => ( ( ap @ ( c_2Epath_2EPL @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Epath_2Etake @ A_27a @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V1i ) ) @ V0p ) )
% 5.66/5.91 = ( ap @ ( c_2Epred__set_2EGSPEC @ ty_2Enum_2Enum @ ty_2Enum_2Enum )
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V2n: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ bool ) @ V2n ) @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ V2n ) @ ( inj__ty_2Enum_2Enum @ V1i ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Elast__take,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0i: tp__ty_2Enum_2Enum,V1p: $i] :
% 5.66/5.91 ( ( mem @ V1p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V0i ) ) @ ( ap @ ( c_2Epath_2EPL @ A_27a @ A_27b ) @ V1p ) ) )
% 5.66/5.91 => ( ( ap @ ( c_2Epath_2Elast @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Epath_2Etake @ A_27a @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V0i ) ) @ V1p ) )
% 5.66/5.91 = ( ap @ ( ap @ ( c_2Epath_2Eel @ A_27a @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V0i ) ) @ V1p ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Enth__label__take,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0n: tp__ty_2Enum_2Enum,V1p: $i] :
% 5.66/5.91 ( ( mem @ V1p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ! [V2i: tp__ty_2Enum_2Enum] :
% 5.66/5.91 ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V2i ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.66/5.91 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( c_2Epath_2EPL @ A_27a @ A_27b ) @ V1p ) ) ) )
% 5.66/5.91 => ( ( ap @ ( ap @ ( c_2Epath_2Enth__label @ A_27b @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V2i ) ) @ ( ap @ ( ap @ ( c_2Epath_2Etake @ A_27a @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1p ) )
% 5.66/5.91 = ( ap @ ( ap @ ( c_2Epath_2Enth__label @ A_27b @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V2i ) ) @ V1p ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(ax_thm_2Epath_2Eseg__def,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0i: tp__ty_2Enum_2Enum,V1j: tp__ty_2Enum_2Enum,V2p: $i] :
% 5.66/5.91 ( ( mem @ V2p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( ap @ ( ap @ ( ap @ ( c_2Epath_2Eseg @ A_27a @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V0i ) ) @ ( inj__ty_2Enum_2Enum @ V1j ) ) @ V2p )
% 5.66/5.91 = ( ap @ ( ap @ ( c_2Epath_2Etake @ A_27a @ A_27b ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V1j ) ) @ ( inj__ty_2Enum_2Enum @ V0i ) ) ) @ ( ap @ ( ap @ ( c_2Epath_2Edrop @ A_27a @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V0i ) ) @ V2p ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Esingleton__seg,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0i: tp__ty_2Enum_2Enum,V1p: $i] :
% 5.66/5.91 ( ( mem @ V1p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V0i ) ) @ ( ap @ ( c_2Epath_2EPL @ A_27a @ A_27b ) @ V1p ) ) )
% 5.66/5.91 => ( ( ap @ ( ap @ ( ap @ ( c_2Epath_2Eseg @ A_27a @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V0i ) ) @ ( inj__ty_2Enum_2Enum @ V0i ) ) @ V1p )
% 5.66/5.91 = ( ap @ ( c_2Epath_2Estopped__at @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Epath_2Eel @ A_27a @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V0i ) ) @ V1p ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Erecursive__seg,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0i: tp__ty_2Enum_2Enum,V1j: tp__ty_2Enum_2Enum,V2p: $i] :
% 5.66/5.91 ( ( mem @ V2p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0i ) ) @ ( inj__ty_2Enum_2Enum @ V1j ) ) )
% 5.66/5.91 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V1j ) ) @ ( ap @ ( c_2Epath_2EPL @ A_27a @ A_27b ) @ V2p ) ) ) )
% 5.66/5.91 => ( ( ap @ ( ap @ ( ap @ ( c_2Epath_2Eseg @ A_27a @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V0i ) ) @ ( inj__ty_2Enum_2Enum @ V1j ) ) @ V2p )
% 5.66/5.91 = ( ap @ ( ap @ ( ap @ ( c_2Epath_2Epcons @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Epath_2Eel @ A_27a @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V0i ) ) @ V2p ) ) @ ( ap @ ( ap @ ( c_2Epath_2Enth__label @ A_27b @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0i ) ) @ V2p ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Epath_2Eseg @ A_27a @ A_27b ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0i ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1j ) ) @ V2p ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2EPL__seg,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0i: tp__ty_2Enum_2Enum,V1j: tp__ty_2Enum_2Enum,V2p: $i] :
% 5.66/5.91 ( ( mem @ V2p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0i ) ) @ ( inj__ty_2Enum_2Enum @ V1j ) ) )
% 5.66/5.91 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V1j ) ) @ ( ap @ ( c_2Epath_2EPL @ A_27a @ A_27b ) @ V2p ) ) ) )
% 5.66/5.91 => ( ( ap @ ( c_2Epath_2EPL @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( ap @ ( c_2Epath_2Eseg @ A_27a @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V0i ) ) @ ( inj__ty_2Enum_2Enum @ V1j ) ) @ V2p ) )
% 5.66/5.91 = ( ap @ ( c_2Epred__set_2EGSPEC @ ty_2Enum_2Enum @ ty_2Enum_2Enum )
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V3n: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ bool ) @ V3n ) @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ V3n ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V1j ) ) @ ( inj__ty_2Enum_2Enum @ V0i ) ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Efinite__seg,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0p: $i] :
% 5.66/5.91 ( ( mem @ V0p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ! [V1i: tp__ty_2Enum_2Enum,V2j: tp__ty_2Enum_2Enum] :
% 5.66/5.91 ( ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1i ) ) @ ( inj__ty_2Enum_2Enum @ V2j ) ) )
% 5.66/5.91 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V2j ) ) @ ( ap @ ( c_2Epath_2EPL @ A_27a @ A_27b ) @ V0p ) ) ) )
% 5.66/5.91 => ( p @ ( ap @ ( c_2Epath_2Efinite @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( ap @ ( c_2Epath_2Eseg @ A_27a @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V1i ) ) @ ( inj__ty_2Enum_2Enum @ V2j ) ) @ V0p ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Efirst__seg,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0i: tp__ty_2Enum_2Enum,V1j: tp__ty_2Enum_2Enum,V2p: $i] :
% 5.66/5.91 ( ( mem @ V2p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0i ) ) @ ( inj__ty_2Enum_2Enum @ V1j ) ) )
% 5.66/5.91 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V1j ) ) @ ( ap @ ( c_2Epath_2EPL @ A_27a @ A_27b ) @ V2p ) ) ) )
% 5.66/5.91 => ( ( ap @ ( c_2Epath_2Efirst @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( ap @ ( c_2Epath_2Eseg @ A_27a @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V0i ) ) @ ( inj__ty_2Enum_2Enum @ V1j ) ) @ V2p ) )
% 5.66/5.91 = ( ap @ ( ap @ ( c_2Epath_2Eel @ A_27a @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V0i ) ) @ V2p ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Elast__seg,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0i: tp__ty_2Enum_2Enum,V1j: tp__ty_2Enum_2Enum,V2p: $i] :
% 5.66/5.91 ( ( mem @ V2p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0i ) ) @ ( inj__ty_2Enum_2Enum @ V1j ) ) )
% 5.66/5.91 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V1j ) ) @ ( ap @ ( c_2Epath_2EPL @ A_27a @ A_27b ) @ V2p ) ) ) )
% 5.66/5.91 => ( ( ap @ ( c_2Epath_2Elast @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( ap @ ( c_2Epath_2Eseg @ A_27a @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V0i ) ) @ ( inj__ty_2Enum_2Enum @ V1j ) ) @ V2p ) )
% 5.66/5.91 = ( ap @ ( ap @ ( c_2Epath_2Eel @ A_27a @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V1j ) ) @ V2p ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(ax_thm_2Epath_2Elabels__def,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del] :
% 5.66/5.91 ( ! [V0x: $i] :
% 5.66/5.91 ( ( mem @ V0x @ A_27a )
% 5.66/5.91 => ( ( ap @ ( c_2Epath_2Elabels @ A_27a @ A_27b ) @ ( ap @ ( c_2Epath_2Estopped__at @ A_27a @ A_27b ) @ V0x ) )
% 5.66/5.91 = ( c_2Ellist_2ELNIL @ A_27b ) ) )
% 5.66/5.91 & ! [V1x: $i] :
% 5.66/5.91 ( ( mem @ V1x @ A_27a )
% 5.66/5.91 => ! [V2r: $i] :
% 5.66/5.91 ( ( mem @ V2r @ A_27b )
% 5.66/5.91 => ! [V3p: $i] :
% 5.66/5.91 ( ( mem @ V3p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( ap @ ( c_2Epath_2Elabels @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( ap @ ( c_2Epath_2Epcons @ A_27a @ A_27b ) @ V1x ) @ V2r ) @ V3p ) )
% 5.66/5.91 = ( ap @ ( ap @ ( c_2Ellist_2ELCONS @ A_27b ) @ V2r ) @ ( ap @ ( c_2Epath_2Elabels @ A_27a @ A_27b ) @ V3p ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2EfirstP__at__unique,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.66/5.91 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.66/5.91 => ! [V1p: $i] :
% 5.66/5.91 ( ( mem @ V1p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ! [V2n: tp__ty_2Enum_2Enum] :
% 5.66/5.91 ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epath_2EfirstP__at @ A_27a @ A_27b ) @ V0P ) @ V1p ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) )
% 5.66/5.91 => ! [V3m: tp__ty_2Enum_2Enum] :
% 5.66/5.91 ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epath_2EfirstP__at @ A_27a @ A_27b ) @ V0P ) @ V1p ) @ ( inj__ty_2Enum_2Enum @ V3m ) ) )
% 5.66/5.91 <=> ( V3m = V2n ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(ax_thm_2Epath_2Eis__stopped__def,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0p: $i] :
% 5.66/5.91 ( ( mem @ V0p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( p @ ( ap @ ( c_2Epath_2Eis__stopped @ A_27a @ A_27b ) @ V0p ) )
% 5.66/5.91 <=> ? [V1x: $i] :
% 5.66/5.91 ( ( mem @ V1x @ A_27a )
% 5.66/5.91 & ( V0p
% 5.66/5.91 = ( ap @ ( c_2Epath_2Estopped__at @ A_27a @ A_27b ) @ V1x ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Eis__stopped__thm,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del] :
% 5.66/5.91 ( ! [V0x: $i] :
% 5.66/5.91 ( ( mem @ V0x @ A_27a )
% 5.66/5.91 => ( ( p @ ( ap @ ( c_2Epath_2Eis__stopped @ A_27a @ A_27b ) @ ( ap @ ( c_2Epath_2Estopped__at @ A_27a @ A_27b ) @ V0x ) ) )
% 5.66/5.91 <=> $true ) )
% 5.66/5.91 & ! [V1x: $i] :
% 5.66/5.91 ( ( mem @ V1x @ A_27c )
% 5.66/5.91 => ! [V2r: $i] :
% 5.66/5.91 ( ( mem @ V2r @ A_27d )
% 5.66/5.91 => ! [V3p: $i] :
% 5.66/5.91 ( ( mem @ V3p @ ( ty_2Epath_2Epath @ A_27c @ A_27d ) )
% 5.66/5.91 => ( ( p @ ( ap @ ( c_2Epath_2Eis__stopped @ A_27c @ A_27d ) @ ( ap @ ( ap @ ( ap @ ( c_2Epath_2Epcons @ A_27c @ A_27d ) @ V1x ) @ V2r ) @ V3p ) ) )
% 5.66/5.91 <=> $false ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(ax_thm_2Epath_2Efilter__def,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.66/5.91 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.66/5.91 => ( ! [V1x: $i] :
% 5.66/5.91 ( ( mem @ V1x @ A_27a )
% 5.66/5.91 => ( ( p @ ( ap @ V0P @ V1x ) )
% 5.66/5.91 => ( ( ap @ ( ap @ ( c_2Epath_2Efilter @ A_27a @ A_27b ) @ V0P ) @ ( ap @ ( c_2Epath_2Estopped__at @ A_27a @ A_27b ) @ V1x ) )
% 5.66/5.91 = ( ap @ ( c_2Epath_2Estopped__at @ A_27a @ A_27b ) @ V1x ) ) ) )
% 5.66/5.91 & ! [V2x: $i] :
% 5.66/5.91 ( ( mem @ V2x @ A_27a )
% 5.66/5.91 => ! [V3r: $i] :
% 5.66/5.91 ( ( mem @ V3r @ A_27b )
% 5.66/5.91 => ! [V4p: $i] :
% 5.66/5.91 ( ( mem @ V4p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( ap @ ( ap @ ( c_2Epath_2Efilter @ A_27a @ A_27b ) @ V0P ) @ ( ap @ ( ap @ ( ap @ ( c_2Epath_2Epcons @ A_27a @ A_27b ) @ V2x ) @ V3r ) @ V4p ) )
% 5.66/5.91 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) ) @ ( ap @ V0P @ V2x ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Epath_2Eexists @ A_27a @ A_27b ) @ V0P ) @ V4p ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Epath_2Epcons @ A_27a @ A_27b ) @ V2x ) @ V3r ) @ ( ap @ ( ap @ ( c_2Epath_2Efilter @ A_27a @ A_27b ) @ V0P ) @ V4p ) ) ) @ ( ap @ ( c_2Epath_2Estopped__at @ A_27a @ A_27b ) @ V2x ) ) ) @ ( ap @ ( ap @ ( c_2Epath_2Efilter @ A_27a @ A_27b ) @ V0P ) @ V4p ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Efilter__every,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.66/5.91 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.66/5.91 => ! [V1p: $i] :
% 5.66/5.91 ( ( mem @ V1p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( p @ ( ap @ ( ap @ ( c_2Epath_2Eexists @ A_27a @ A_27b ) @ V0P ) @ V1p ) )
% 5.66/5.91 => ( p @ ( ap @ ( ap @ ( c_2Epath_2Eevery @ A_27a @ A_27b ) @ V0P ) @ ( ap @ ( ap @ ( c_2Epath_2Efilter @ A_27a @ A_27b ) @ V0P ) @ V1p ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(ax_thm_2Epath_2Epgenerate__def,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.91 ( ( mem @ V0f @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.66/5.91 => ! [V1g: $i] :
% 5.66/5.91 ( ( mem @ V1g @ ( arr @ ty_2Enum_2Enum @ A_27b ) )
% 5.66/5.91 => ( ( ap @ ( ap @ ( c_2Epath_2Epgenerate @ A_27a @ A_27b ) @ V0f ) @ V1g )
% 5.66/5.91 = ( ap @ ( ap @ ( ap @ ( c_2Epath_2Epcons @ A_27a @ A_27b ) @ ( ap @ V0f @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) @ ( ap @ V1g @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) @ ( ap @ ( ap @ ( c_2Epath_2Epgenerate @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ty_2Enum_2Enum @ A_27a @ ty_2Enum_2Enum ) @ V0f ) @ c_2Enum_2ESUC ) ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ty_2Enum_2Enum @ A_27b @ ty_2Enum_2Enum ) @ V1g ) @ c_2Enum_2ESUC ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Epgenerate__infinite,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.91 ( ( mem @ V0f @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.66/5.91 => ! [V1g: $i] :
% 5.66/5.91 ( ( mem @ V1g @ ( arr @ ty_2Enum_2Enum @ A_27b ) )
% 5.66/5.91 => ~ ( p @ ( ap @ ( c_2Epath_2Efinite @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Epath_2Epgenerate @ A_27a @ A_27b ) @ V0f ) @ V1g ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Epgenerate__not__stopped,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.91 ( ( mem @ V0f @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.66/5.91 => ! [V1g: $i] :
% 5.66/5.91 ( ( mem @ V1g @ ( arr @ ty_2Enum_2Enum @ A_27b ) )
% 5.66/5.91 => ! [V2x: $i] :
% 5.66/5.91 ( ( mem @ V2x @ A_27a )
% 5.66/5.91 => ( ( ap @ ( c_2Epath_2Estopped__at @ A_27a @ A_27b ) @ V2x )
% 5.66/5.91 != ( ap @ ( ap @ ( c_2Epath_2Epgenerate @ A_27a @ A_27b ) @ V0f ) @ V1g ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Eel__pgenerate,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0n: tp__ty_2Enum_2Enum,V1f: $i] :
% 5.66/5.91 ( ( mem @ V1f @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.66/5.91 => ! [V2g: $i] :
% 5.66/5.91 ( ( mem @ V2g @ ( arr @ ty_2Enum_2Enum @ A_27b ) )
% 5.66/5.91 => ( ( ap @ ( ap @ ( c_2Epath_2Eel @ A_27a @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( ap @ ( c_2Epath_2Epgenerate @ A_27a @ A_27b ) @ V1f ) @ V2g ) )
% 5.66/5.91 = ( ap @ V1f @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Enth__label__pgenerate,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0n: tp__ty_2Enum_2Enum,V1f: $i] :
% 5.66/5.91 ( ( mem @ V1f @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.66/5.91 => ! [V2g: $i] :
% 5.66/5.91 ( ( mem @ V2g @ ( arr @ ty_2Enum_2Enum @ A_27b ) )
% 5.66/5.91 => ( ( ap @ ( ap @ ( c_2Epath_2Enth__label @ A_27b @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( ap @ ( c_2Epath_2Epgenerate @ A_27a @ A_27b ) @ V1f ) @ V2g ) )
% 5.66/5.91 = ( ap @ V2g @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Epgenerate__11,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0f1: $i] :
% 5.66/5.91 ( ( mem @ V0f1 @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.66/5.91 => ! [V1g1: $i] :
% 5.66/5.91 ( ( mem @ V1g1 @ ( arr @ ty_2Enum_2Enum @ A_27b ) )
% 5.66/5.91 => ! [V2f2: $i] :
% 5.66/5.91 ( ( mem @ V2f2 @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.66/5.91 => ! [V3g2: $i] :
% 5.66/5.91 ( ( mem @ V3g2 @ ( arr @ ty_2Enum_2Enum @ A_27b ) )
% 5.66/5.91 => ( ( ( ap @ ( ap @ ( c_2Epath_2Epgenerate @ A_27a @ A_27b ) @ V0f1 ) @ V1g1 )
% 5.66/5.91 = ( ap @ ( ap @ ( c_2Epath_2Epgenerate @ A_27a @ A_27b ) @ V2f2 ) @ V3g2 ) )
% 5.66/5.91 <=> ( ( V0f1 = V2f2 )
% 5.66/5.91 & ( V1g1 = V3g2 ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Epgenerate__onto,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0p: $i] :
% 5.66/5.91 ( ( mem @ V0p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ~ ( p @ ( ap @ ( c_2Epath_2Efinite @ A_27a @ A_27b ) @ V0p ) )
% 5.66/5.91 => ? [V1f: $i] :
% 5.66/5.91 ( ( mem @ V1f @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.66/5.91 & ? [V2g: $i] :
% 5.66/5.91 ( ( mem @ V2g @ ( arr @ ty_2Enum_2Enum @ A_27b ) )
% 5.66/5.91 & ( V0p
% 5.66/5.91 = ( ap @ ( ap @ ( c_2Epath_2Epgenerate @ A_27a @ A_27b ) @ V1f ) @ V2g ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(ax_thm_2Epath_2Eokpath__f__def,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.66/5.91 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27b @ ( arr @ A_27a @ bool ) ) ) )
% 5.66/5.91 => ! [V1X: $i] :
% 5.66/5.91 ( ( mem @ V1X @ ( arr @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) @ bool ) )
% 5.66/5.91 => ( ( ap @ ( ap @ ( c_2Epath_2Eokpath__f @ A_27a @ A_27b ) @ V0R ) @ V1X )
% 5.66/5.91 = ( ap
% 5.66/5.91 @ ( ap @ ( c_2Epred__set_2EUNION @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 @ ( ap @ ( c_2Epred__set_2EGSPEC @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) @ A_27a )
% 5.66/5.91 @ ( lam @ A_27a
% 5.66/5.91 @ ^ [V2x: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) @ bool ) @ ( ap @ ( c_2Epath_2Estopped__at @ A_27a @ A_27b ) @ V2x ) ) @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ ( c_2Epred__set_2EUNIV @ A_27a ) ) ) ) ) )
% 5.66/5.91 @ ( ap @ ( c_2Epred__set_2EGSPEC @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) ) ) )
% 5.66/5.91 @ ( ap @ ( c_2Epair_2EUNCURRY @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) ) @ ( ty_2Epair_2Eprod @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) @ bool ) )
% 5.66/5.91 @ ( lam @ A_27a
% 5.66/5.91 @ ^ [V3x: $i] :
% 5.66/5.91 ( ap @ ( c_2Epair_2EUNCURRY @ A_27b @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) @ ( ty_2Epair_2Eprod @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) @ bool ) )
% 5.66/5.91 @ ( lam @ A_27b
% 5.66/5.91 @ ^ [V4r: $i] :
% 5.66/5.91 ( lam @ ( ty_2Epath_2Epath @ A_27a @ A_27b )
% 5.66/5.91 @ ^ [V5p: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) @ bool ) @ ( ap @ ( ap @ ( ap @ ( c_2Epath_2Epcons @ A_27a @ A_27b ) @ V3x ) @ V4r ) @ V5p ) ) @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( ap @ V0R @ V3x ) @ V4r ) @ ( ap @ ( c_2Epath_2Efirst @ A_27a @ A_27b ) @ V5p ) ) ) @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) ) @ V5p ) @ V1X ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Eokpath__monotone,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.66/5.91 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27b @ ( arr @ A_27a @ bool ) ) ) )
% 5.66/5.91 => ( p @ ( ap @ ( c_2EfixedPoint_2Emonotone @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) ) @ ( ap @ ( c_2Epath_2Eokpath__f @ A_27a @ A_27b ) @ V0R ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(ax_thm_2Epath_2Eokpath__def,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.66/5.91 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27b @ ( arr @ A_27a @ bool ) ) ) )
% 5.66/5.91 => ( ( ap @ ( c_2Epath_2Eokpath @ A_27a @ A_27b ) @ V0R )
% 5.66/5.91 = ( ap @ ( c_2EfixedPoint_2Egfp @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) ) @ ( ap @ ( c_2Epath_2Eokpath__f @ A_27a @ A_27b ) @ V0R ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Eokpath__co__ind,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.66/5.91 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27b @ ( arr @ A_27a @ bool ) ) ) )
% 5.66/5.91 => ! [V1P: $i] :
% 5.66/5.91 ( ( mem @ V1P @ ( arr @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) @ bool ) )
% 5.66/5.91 => ( ! [V2x: $i] :
% 5.66/5.91 ( ( mem @ V2x @ A_27a )
% 5.66/5.91 => ! [V3r: $i] :
% 5.66/5.91 ( ( mem @ V3r @ A_27b )
% 5.66/5.91 => ! [V4p: $i] :
% 5.66/5.91 ( ( mem @ V4p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( p @ ( ap @ V1P @ ( ap @ ( ap @ ( ap @ ( c_2Epath_2Epcons @ A_27a @ A_27b ) @ V2x ) @ V3r ) @ V4p ) ) )
% 5.66/5.91 => ( ( p @ ( ap @ ( ap @ ( ap @ V0R @ V2x ) @ V3r ) @ ( ap @ ( c_2Epath_2Efirst @ A_27a @ A_27b ) @ V4p ) ) )
% 5.66/5.91 & ( p @ ( ap @ V1P @ V4p ) ) ) ) ) ) )
% 5.66/5.91 => ! [V5p: $i] :
% 5.66/5.91 ( ( mem @ V5p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( p @ ( ap @ V1P @ V5p ) )
% 5.66/5.91 => ( p @ ( ap @ ( ap @ ( c_2Epath_2Eokpath @ A_27a @ A_27b ) @ V0R ) @ V5p ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Eokpath__cases,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.66/5.91 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27b @ ( arr @ A_27a @ bool ) ) ) )
% 5.66/5.91 => ! [V1x: $i] :
% 5.66/5.91 ( ( mem @ V1x @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( p @ ( ap @ ( ap @ ( c_2Epath_2Eokpath @ A_27a @ A_27b ) @ V0R ) @ V1x ) )
% 5.66/5.91 <=> ( ? [V2x_27: $i] :
% 5.66/5.91 ( ( mem @ V2x_27 @ A_27a )
% 5.66/5.91 & ( V1x
% 5.66/5.91 = ( ap @ ( c_2Epath_2Estopped__at @ A_27a @ A_27b ) @ V2x_27 ) ) )
% 5.66/5.91 | ? [V3x_27: $i] :
% 5.66/5.91 ( ( mem @ V3x_27 @ A_27a )
% 5.66/5.91 & ? [V4r: $i] :
% 5.66/5.91 ( ( mem @ V4r @ A_27b )
% 5.66/5.91 & ? [V5p: $i] :
% 5.66/5.91 ( ( mem @ V5p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 & ( V1x
% 5.66/5.91 = ( ap @ ( ap @ ( ap @ ( c_2Epath_2Epcons @ A_27a @ A_27b ) @ V3x_27 ) @ V4r ) @ V5p ) )
% 5.66/5.91 & ( p @ ( ap @ ( ap @ ( ap @ V0R @ V3x_27 ) @ V4r ) @ ( ap @ ( c_2Epath_2Efirst @ A_27a @ A_27b ) @ V5p ) ) )
% 5.66/5.91 & ( p @ ( ap @ ( ap @ ( c_2Epath_2Eokpath @ A_27a @ A_27b ) @ V0R ) @ V5p ) ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Eokpath__thm,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.66/5.91 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27b @ ( arr @ A_27a @ bool ) ) ) )
% 5.66/5.91 => ( ! [V1x: $i] :
% 5.66/5.91 ( ( mem @ V1x @ A_27a )
% 5.66/5.91 => ( p @ ( ap @ ( ap @ ( c_2Epath_2Eokpath @ A_27a @ A_27b ) @ V0R ) @ ( ap @ ( c_2Epath_2Estopped__at @ A_27a @ A_27b ) @ V1x ) ) ) )
% 5.66/5.91 & ! [V2x: $i] :
% 5.66/5.91 ( ( mem @ V2x @ A_27a )
% 5.66/5.91 => ! [V3r: $i] :
% 5.66/5.91 ( ( mem @ V3r @ A_27b )
% 5.66/5.91 => ! [V4p: $i] :
% 5.66/5.91 ( ( mem @ V4p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( p @ ( ap @ ( ap @ ( c_2Epath_2Eokpath @ A_27a @ A_27b ) @ V0R ) @ ( ap @ ( ap @ ( ap @ ( c_2Epath_2Epcons @ A_27a @ A_27b ) @ V2x ) @ V3r ) @ V4p ) ) )
% 5.66/5.91 <=> ( ( p @ ( ap @ ( ap @ ( ap @ V0R @ V2x ) @ V3r ) @ ( ap @ ( c_2Epath_2Efirst @ A_27a @ A_27b ) @ V4p ) ) )
% 5.66/5.91 & ( p @ ( ap @ ( ap @ ( c_2Epath_2Eokpath @ A_27a @ A_27b ) @ V0R ) @ V4p ) ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Efinite__okpath__ind,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.66/5.91 ( ( mem @ V0P @ ( arr @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) @ bool ) )
% 5.66/5.91 => ! [V1R: $i] :
% 5.66/5.91 ( ( mem @ V1R @ ( arr @ A_27a @ ( arr @ A_27b @ ( arr @ A_27a @ bool ) ) ) )
% 5.66/5.91 => ( ( ! [V2x: $i] :
% 5.66/5.91 ( ( mem @ V2x @ A_27a )
% 5.66/5.91 => ( p @ ( ap @ V0P @ ( ap @ ( c_2Epath_2Estopped__at @ A_27a @ A_27b ) @ V2x ) ) ) )
% 5.66/5.91 & ! [V3x: $i] :
% 5.66/5.91 ( ( mem @ V3x @ A_27a )
% 5.66/5.91 => ! [V4r: $i] :
% 5.66/5.91 ( ( mem @ V4r @ A_27b )
% 5.66/5.91 => ! [V5p: $i] :
% 5.66/5.91 ( ( mem @ V5p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( ( p @ ( ap @ ( ap @ ( c_2Epath_2Eokpath @ A_27a @ A_27b ) @ V1R ) @ V5p ) )
% 5.66/5.91 & ( p @ ( ap @ ( c_2Epath_2Efinite @ A_27a @ A_27b ) @ V5p ) )
% 5.66/5.91 & ( p @ ( ap @ ( ap @ ( ap @ V1R @ V3x ) @ V4r ) @ ( ap @ ( c_2Epath_2Efirst @ A_27a @ A_27b ) @ V5p ) ) )
% 5.66/5.91 & ( p @ ( ap @ V0P @ V5p ) ) )
% 5.66/5.91 => ( p @ ( ap @ V0P @ ( ap @ ( ap @ ( ap @ ( c_2Epath_2Epcons @ A_27a @ A_27b ) @ V3x ) @ V4r ) @ V5p ) ) ) ) ) ) ) )
% 5.66/5.91 => ! [V6sigma: $i] :
% 5.66/5.91 ( ( mem @ V6sigma @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( ( p @ ( ap @ ( ap @ ( c_2Epath_2Eokpath @ A_27a @ A_27b ) @ V1R ) @ V6sigma ) )
% 5.66/5.91 & ( p @ ( ap @ ( c_2Epath_2Efinite @ A_27a @ A_27b ) @ V6sigma ) ) )
% 5.66/5.91 => ( p @ ( ap @ V0P @ V6sigma ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Eokpath__pmap,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.66/5.91 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27b @ ( arr @ A_27a @ bool ) ) ) )
% 5.66/5.91 => ! [V1f: $i] :
% 5.66/5.91 ( ( mem @ V1f @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.91 => ! [V2g: $i] :
% 5.66/5.91 ( ( mem @ V2g @ ( arr @ A_27b @ A_27b ) )
% 5.66/5.91 => ! [V3p: $i] :
% 5.66/5.91 ( ( mem @ V3p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( ( p @ ( ap @ ( ap @ ( c_2Epath_2Eokpath @ A_27a @ A_27b ) @ V0R ) @ V3p ) )
% 5.66/5.91 & ! [V4x: $i] :
% 5.66/5.91 ( ( mem @ V4x @ A_27a )
% 5.66/5.91 => ! [V5r: $i] :
% 5.66/5.91 ( ( mem @ V5r @ A_27b )
% 5.66/5.91 => ! [V6y: $i] :
% 5.66/5.91 ( ( mem @ V6y @ A_27a )
% 5.66/5.91 => ( ( p @ ( ap @ ( ap @ ( ap @ V0R @ V4x ) @ V5r ) @ V6y ) )
% 5.66/5.91 => ( p @ ( ap @ ( ap @ ( ap @ V0R @ ( ap @ V1f @ V4x ) ) @ ( ap @ V2g @ V5r ) ) @ ( ap @ V1f @ V6y ) ) ) ) ) ) ) )
% 5.66/5.91 => ( p @ ( ap @ ( ap @ ( c_2Epath_2Eokpath @ A_27a @ A_27b ) @ V0R ) @ ( ap @ ( ap @ ( ap @ ( c_2Epath_2Epmap @ A_27a @ A_27b @ A_27a @ A_27b ) @ V1f ) @ V2g ) @ V3p ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(ax_thm_2Epath_2Eplink__def,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del] :
% 5.66/5.91 ( ! [V0x: $i] :
% 5.66/5.91 ( ( mem @ V0x @ A_27a )
% 5.66/5.91 => ! [V1p: $i] :
% 5.66/5.91 ( ( mem @ V1p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( ap @ ( ap @ ( c_2Epath_2Eplink @ A_27a @ A_27b ) @ ( ap @ ( c_2Epath_2Estopped__at @ A_27a @ A_27b ) @ V0x ) ) @ V1p )
% 5.66/5.91 = V1p ) ) )
% 5.66/5.91 & ! [V2x: $i] :
% 5.66/5.91 ( ( mem @ V2x @ A_27a )
% 5.66/5.91 => ! [V3r: $i] :
% 5.66/5.91 ( ( mem @ V3r @ A_27b )
% 5.66/5.91 => ! [V4p1: $i] :
% 5.66/5.91 ( ( mem @ V4p1 @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ! [V5p2: $i] :
% 5.66/5.91 ( ( mem @ V5p2 @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( ap @ ( ap @ ( c_2Epath_2Eplink @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( ap @ ( c_2Epath_2Epcons @ A_27a @ A_27b ) @ V2x ) @ V3r ) @ V4p1 ) ) @ V5p2 )
% 5.66/5.91 = ( ap @ ( ap @ ( ap @ ( c_2Epath_2Epcons @ A_27a @ A_27b ) @ V2x ) @ V3r ) @ ( ap @ ( ap @ ( c_2Epath_2Eplink @ A_27a @ A_27b ) @ V4p1 ) @ V5p2 ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Efinite__plink,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0p1: $i] :
% 5.66/5.91 ( ( mem @ V0p1 @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ! [V1p2: $i] :
% 5.66/5.91 ( ( mem @ V1p2 @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( p @ ( ap @ ( c_2Epath_2Efinite @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Epath_2Eplink @ A_27a @ A_27b ) @ V0p1 ) @ V1p2 ) ) )
% 5.66/5.91 <=> ( ( p @ ( ap @ ( c_2Epath_2Efinite @ A_27a @ A_27b ) @ V0p1 ) )
% 5.66/5.91 & ( p @ ( ap @ ( c_2Epath_2Efinite @ A_27a @ A_27b ) @ V1p2 ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Efirst__plink,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0p1: $i] :
% 5.66/5.91 ( ( mem @ V0p1 @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ! [V1p2: $i] :
% 5.66/5.91 ( ( mem @ V1p2 @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( ( ap @ ( c_2Epath_2Elast @ A_27a @ A_27b ) @ V0p1 )
% 5.66/5.91 = ( ap @ ( c_2Epath_2Efirst @ A_27a @ A_27b ) @ V1p2 ) )
% 5.66/5.91 => ( ( ap @ ( c_2Epath_2Efirst @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Epath_2Eplink @ A_27a @ A_27b ) @ V0p1 ) @ V1p2 ) )
% 5.66/5.91 = ( ap @ ( c_2Epath_2Efirst @ A_27a @ A_27b ) @ V0p1 ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Elast__plink,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0p1: $i] :
% 5.66/5.91 ( ( mem @ V0p1 @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ! [V1p2: $i] :
% 5.66/5.91 ( ( mem @ V1p2 @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( ( p @ ( ap @ ( c_2Epath_2Efinite @ A_27a @ A_27b ) @ V0p1 ) )
% 5.66/5.91 & ( p @ ( ap @ ( c_2Epath_2Efinite @ A_27a @ A_27b ) @ V1p2 ) )
% 5.66/5.91 & ( ( ap @ ( c_2Epath_2Elast @ A_27a @ A_27b ) @ V0p1 )
% 5.66/5.91 = ( ap @ ( c_2Epath_2Efirst @ A_27a @ A_27b ) @ V1p2 ) ) )
% 5.66/5.91 => ( ( ap @ ( c_2Epath_2Elast @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Epath_2Eplink @ A_27a @ A_27b ) @ V0p1 ) @ V1p2 ) )
% 5.66/5.91 = ( ap @ ( c_2Epath_2Elast @ A_27a @ A_27b ) @ V1p2 ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Eokpath__plink,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.66/5.91 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27b @ ( arr @ A_27a @ bool ) ) ) )
% 5.66/5.91 => ! [V1p1: $i] :
% 5.66/5.91 ( ( mem @ V1p1 @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ! [V2p2: $i] :
% 5.66/5.91 ( ( mem @ V2p2 @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( ( p @ ( ap @ ( c_2Epath_2Efinite @ A_27a @ A_27b ) @ V1p1 ) )
% 5.66/5.91 & ( ( ap @ ( c_2Epath_2Elast @ A_27a @ A_27b ) @ V1p1 )
% 5.66/5.91 = ( ap @ ( c_2Epath_2Efirst @ A_27a @ A_27b ) @ V2p2 ) ) )
% 5.66/5.91 => ( ( p @ ( ap @ ( ap @ ( c_2Epath_2Eokpath @ A_27a @ A_27b ) @ V0R ) @ ( ap @ ( ap @ ( c_2Epath_2Eplink @ A_27a @ A_27b ) @ V1p1 ) @ V2p2 ) ) )
% 5.66/5.91 <=> ( ( p @ ( ap @ ( ap @ ( c_2Epath_2Eokpath @ A_27a @ A_27b ) @ V0R ) @ V1p1 ) )
% 5.66/5.91 & ( p @ ( ap @ ( ap @ ( c_2Epath_2Eokpath @ A_27a @ A_27b ) @ V0R ) @ V2p2 ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Eokpath__take,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.66/5.91 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27b @ ( arr @ A_27a @ bool ) ) ) )
% 5.66/5.91 => ! [V1p: $i] :
% 5.66/5.91 ( ( mem @ V1p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ! [V2i: tp__ty_2Enum_2Enum] :
% 5.66/5.91 ( ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V2i ) ) @ ( ap @ ( c_2Epath_2EPL @ A_27a @ A_27b ) @ V1p ) ) )
% 5.66/5.91 & ( p @ ( ap @ ( ap @ ( c_2Epath_2Eokpath @ A_27a @ A_27b ) @ V0R ) @ V1p ) ) )
% 5.66/5.91 => ( p @ ( ap @ ( ap @ ( c_2Epath_2Eokpath @ A_27a @ A_27b ) @ V0R ) @ ( ap @ ( ap @ ( c_2Epath_2Etake @ A_27a @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V2i ) ) @ V1p ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Eokpath__drop,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.66/5.91 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27b @ ( arr @ A_27a @ bool ) ) ) )
% 5.66/5.91 => ! [V1p: $i] :
% 5.66/5.91 ( ( mem @ V1p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ! [V2i: tp__ty_2Enum_2Enum] :
% 5.66/5.91 ( ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V2i ) ) @ ( ap @ ( c_2Epath_2EPL @ A_27a @ A_27b ) @ V1p ) ) )
% 5.66/5.91 & ( p @ ( ap @ ( ap @ ( c_2Epath_2Eokpath @ A_27a @ A_27b ) @ V0R ) @ V1p ) ) )
% 5.66/5.91 => ( p @ ( ap @ ( ap @ ( c_2Epath_2Eokpath @ A_27a @ A_27b ) @ V0R ) @ ( ap @ ( ap @ ( c_2Epath_2Edrop @ A_27a @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V2i ) ) @ V1p ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Eokpath__seg,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.66/5.91 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27b @ ( arr @ A_27a @ bool ) ) ) )
% 5.66/5.91 => ! [V1p: $i] :
% 5.66/5.91 ( ( mem @ V1p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ! [V2i: tp__ty_2Enum_2Enum,V3j: tp__ty_2Enum_2Enum] :
% 5.66/5.91 ( ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V2i ) ) @ ( inj__ty_2Enum_2Enum @ V3j ) ) )
% 5.66/5.91 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V3j ) ) @ ( ap @ ( c_2Epath_2EPL @ A_27a @ A_27b ) @ V1p ) ) )
% 5.66/5.91 & ( p @ ( ap @ ( ap @ ( c_2Epath_2Eokpath @ A_27a @ A_27b ) @ V0R ) @ V1p ) ) )
% 5.66/5.91 => ( p @ ( ap @ ( ap @ ( c_2Epath_2Eokpath @ A_27a @ A_27b ) @ V0R ) @ ( ap @ ( ap @ ( ap @ ( c_2Epath_2Eseg @ A_27a @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V2i ) ) @ ( inj__ty_2Enum_2Enum @ V3j ) ) @ V1p ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(ax_thm_2Epath_2ESN__def,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.66/5.91 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27b @ ( arr @ A_27a @ bool ) ) ) )
% 5.66/5.91 => ( ( p @ ( ap @ ( c_2Epath_2ESN @ A_27a @ A_27b ) @ V0R ) )
% 5.66/5.91 <=> ( p
% 5.66/5.91 @ ( ap @ ( c_2Erelation_2EWF @ A_27a )
% 5.66/5.91 @ ( lam @ A_27a
% 5.66/5.91 @ ^ [V1x: $i] :
% 5.66/5.91 ( lam @ A_27a
% 5.66/5.91 @ ^ [V2y: $i] :
% 5.66/5.91 ( ap @ ( c_2Ebool_2E_3F @ A_27b )
% 5.66/5.91 @ ( lam @ A_27b
% 5.66/5.91 @ ^ [V3l: $i] : ( ap @ ( ap @ ( ap @ V0R @ V2y ) @ V3l ) @ V1x ) ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2ESN__finite__paths,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.66/5.91 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27b @ ( arr @ A_27a @ bool ) ) ) )
% 5.66/5.91 => ! [V1p: $i] :
% 5.66/5.91 ( ( mem @ V1p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( ( p @ ( ap @ ( c_2Epath_2ESN @ A_27a @ A_27b ) @ V0R ) )
% 5.66/5.91 & ( p @ ( ap @ ( ap @ ( c_2Epath_2Eokpath @ A_27a @ A_27b ) @ V0R ) @ V1p ) ) )
% 5.66/5.91 => ( p @ ( ap @ ( c_2Epath_2Efinite @ A_27a @ A_27b ) @ V1p ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Efinite__paths__SN,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.66/5.91 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27b @ ( arr @ A_27a @ bool ) ) ) )
% 5.66/5.91 => ( ! [V1p: $i] :
% 5.66/5.91 ( ( mem @ V1p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( p @ ( ap @ ( ap @ ( c_2Epath_2Eokpath @ A_27a @ A_27b ) @ V0R ) @ V1p ) )
% 5.66/5.91 => ( p @ ( ap @ ( c_2Epath_2Efinite @ A_27a @ A_27b ) @ V1p ) ) ) )
% 5.66/5.91 => ( p @ ( ap @ ( c_2Epath_2ESN @ A_27a @ A_27b ) @ V0R ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2ESN__finite__paths__EQ,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.66/5.91 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27b @ ( arr @ A_27a @ bool ) ) ) )
% 5.66/5.91 => ( ( p @ ( ap @ ( c_2Epath_2ESN @ A_27a @ A_27b ) @ V0R ) )
% 5.66/5.91 <=> ! [V1p: $i] :
% 5.66/5.91 ( ( mem @ V1p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( p @ ( ap @ ( ap @ ( c_2Epath_2Eokpath @ A_27a @ A_27b ) @ V0R ) @ V1p ) )
% 5.66/5.91 => ( p @ ( ap @ ( c_2Epath_2Efinite @ A_27a @ A_27b ) @ V1p ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Elabels__LMAP,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0p: $i] :
% 5.66/5.91 ( ( mem @ V0p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( ap @ ( c_2Epath_2Elabels @ A_27a @ A_27b ) @ V0p )
% 5.66/5.91 = ( ap @ ( ap @ ( c_2Ellist_2ELMAP @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) @ A_27b ) @ ( c_2Epair_2EFST @ A_27b @ A_27a ) ) @ ( ap @ ( c_2Epair_2ESND @ A_27a @ ( ty_2Ellist_2Ellist @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) @ ( ap @ ( c_2Epath_2EfromPath @ A_27a @ A_27b ) @ V0p ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Elabels__plink,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0p1: $i] :
% 5.66/5.91 ( ( mem @ V0p1 @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ! [V1p2: $i] :
% 5.66/5.91 ( ( mem @ V1p2 @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( ap @ ( c_2Epath_2Elabels @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Epath_2Eplink @ A_27a @ A_27b ) @ V0p1 ) @ V1p2 ) )
% 5.66/5.91 = ( ap @ ( ap @ ( c_2Ellist_2ELAPPEND @ A_27b ) @ ( ap @ ( c_2Epath_2Elabels @ A_27a @ A_27b ) @ V0p1 ) ) @ ( ap @ ( c_2Epath_2Elabels @ A_27a @ A_27b ) @ V1p2 ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Efinite__labels,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0p: $i] :
% 5.66/5.91 ( ( mem @ V0p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( p @ ( ap @ ( c_2Ellist_2ELFINITE @ A_27b ) @ ( ap @ ( c_2Epath_2Elabels @ A_27a @ A_27b ) @ V0p ) ) )
% 5.66/5.91 <=> ( p @ ( ap @ ( c_2Epath_2Efinite @ A_27a @ A_27b ) @ V0p ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(ax_thm_2Epath_2Eunfold__def,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,A_27c: del,V0proj: $i] :
% 5.66/5.91 ( ( mem @ V0proj @ ( arr @ A_27c @ A_27a ) )
% 5.66/5.91 => ! [V1f: $i] :
% 5.66/5.91 ( ( mem @ V1f @ ( arr @ A_27c @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27c @ A_27b ) ) ) )
% 5.66/5.91 => ! [V2s: $i] :
% 5.66/5.91 ( ( mem @ V2s @ A_27c )
% 5.66/5.91 => ( ( ap @ ( ap @ ( ap @ ( c_2Epath_2Eunfold @ A_27a @ A_27b @ A_27c ) @ V0proj ) @ V1f ) @ V2s )
% 5.66/5.91 = ( ap @ ( c_2Epath_2EtoPath @ A_27a @ A_27b )
% 5.66/5.91 @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ ( ty_2Ellist_2Ellist @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) ) @ ( ap @ V0proj @ V2s ) )
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap @ ( c_2Ellist_2ELUNFOLD @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) @ A_27c )
% 5.66/5.91 @ ( lam @ A_27c
% 5.66/5.91 @ ^ [V3s: $i] :
% 5.66/5.91 ( ap
% 5.66/5.91 @ ( ap @ ( c_2Eoption_2EOPTION__MAP @ ( ty_2Epair_2Eprod @ A_27c @ A_27b ) @ ( ty_2Epair_2Eprod @ A_27c @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) )
% 5.66/5.91 @ ( ap @ ( c_2Epair_2EUNCURRY @ A_27c @ A_27b @ ( ty_2Epair_2Eprod @ A_27c @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) )
% 5.66/5.91 @ ( lam @ A_27c
% 5.66/5.91 @ ^ [V4next__s: $i] :
% 5.66/5.91 ( lam @ A_27b
% 5.66/5.91 @ ^ [V5lbl: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27c @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) @ V4next__s ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27b @ A_27a ) @ V5lbl ) @ ( ap @ V0proj @ V4next__s ) ) ) ) ) ) )
% 5.66/5.91 @ ( ap @ V1f @ V3s ) ) ) )
% 5.66/5.91 @ V2s ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Eunfold__thm,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,A_27c: del,V0proj: $i] :
% 5.66/5.91 ( ( mem @ V0proj @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.91 => ! [V1f: $i] :
% 5.66/5.91 ( ( mem @ V1f @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27a @ A_27c ) ) ) )
% 5.66/5.91 => ! [V2s: $i] :
% 5.66/5.91 ( ( mem @ V2s @ A_27a )
% 5.66/5.91 => ( ( ap @ ( ap @ ( ap @ ( c_2Epath_2Eunfold @ A_27b @ A_27c @ A_27a ) @ V0proj ) @ V1f ) @ V2s )
% 5.66/5.91 = ( ap @ ( ap @ ( ap @ ( c_2Eoption_2Eoption__CASE @ ( ty_2Epair_2Eprod @ A_27a @ A_27c ) @ ( ty_2Epath_2Epath @ A_27b @ A_27c ) ) @ ( ap @ V1f @ V2s ) ) @ ( ap @ ( c_2Epath_2Estopped__at @ A_27b @ A_27c ) @ ( ap @ V0proj @ V2s ) ) )
% 5.66/5.91 @ ( lam @ ( ty_2Epair_2Eprod @ A_27a @ A_27c )
% 5.66/5.91 @ ^ [V3v: $i] :
% 5.66/5.91 ( ap @ ( ap @ ( c_2Epair_2Epair__CASE @ ( ty_2Epath_2Epath @ A_27b @ A_27c ) @ A_27a @ A_27c ) @ V3v )
% 5.66/5.91 @ ( lam @ A_27a
% 5.66/5.91 @ ^ [V4s_27: $i] :
% 5.66/5.91 ( lam @ A_27c
% 5.66/5.91 @ ^ [V5l: $i] : ( ap @ ( ap @ ( ap @ ( c_2Epath_2Epcons @ A_27b @ A_27c ) @ ( ap @ V0proj @ V2s ) ) @ V5l ) @ ( ap @ ( ap @ ( ap @ ( c_2Epath_2Eunfold @ A_27b @ A_27c @ A_27a ) @ V0proj ) @ V1f ) @ V4s_27 ) ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Eunfold__thm2,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,A_27c: del,V0proj: $i] :
% 5.66/5.91 ( ( mem @ V0proj @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.91 => ! [V1f: $i] :
% 5.66/5.91 ( ( mem @ V1f @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27a @ A_27c ) ) ) )
% 5.66/5.91 => ! [V2x: $i] :
% 5.66/5.91 ( ( mem @ V2x @ A_27a )
% 5.66/5.91 => ! [V3v1: $i] :
% 5.66/5.91 ( ( mem @ V3v1 @ A_27a )
% 5.66/5.91 => ! [V4v2: $i] :
% 5.66/5.91 ( ( mem @ V4v2 @ A_27c )
% 5.66/5.91 => ( ( ( ( ap @ V1f @ V2x )
% 5.66/5.91 = ( c_2Eoption_2ENONE @ ( ty_2Epair_2Eprod @ A_27a @ A_27c ) ) )
% 5.66/5.91 => ( ( ap @ ( ap @ ( ap @ ( c_2Epath_2Eunfold @ A_27b @ A_27c @ A_27a ) @ V0proj ) @ V1f ) @ V2x )
% 5.66/5.91 = ( ap @ ( c_2Epath_2Estopped__at @ A_27b @ A_27c ) @ ( ap @ V0proj @ V2x ) ) ) )
% 5.66/5.91 & ( ( ( ap @ V1f @ V2x )
% 5.66/5.91 = ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Epair_2Eprod @ A_27a @ A_27c ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27c ) @ V3v1 ) @ V4v2 ) ) )
% 5.66/5.91 => ( ( ap @ ( ap @ ( ap @ ( c_2Epath_2Eunfold @ A_27b @ A_27c @ A_27a ) @ V0proj ) @ V1f ) @ V2x )
% 5.66/5.91 = ( ap @ ( ap @ ( ap @ ( c_2Epath_2Epcons @ A_27b @ A_27c ) @ ( ap @ V0proj @ V2x ) ) @ V4v2 ) @ ( ap @ ( ap @ ( ap @ ( c_2Epath_2Eunfold @ A_27b @ A_27c @ A_27a ) @ V0proj ) @ V1f ) @ V3v1 ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Elabels__unfold,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,A_27c: del,V0proj: $i] :
% 5.66/5.91 ( ( mem @ V0proj @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.91 => ! [V1f: $i] :
% 5.66/5.91 ( ( mem @ V1f @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27a @ A_27c ) ) ) )
% 5.66/5.91 => ! [V2s: $i] :
% 5.66/5.91 ( ( mem @ V2s @ A_27a )
% 5.66/5.91 => ( ( ap @ ( c_2Epath_2Elabels @ A_27b @ A_27c ) @ ( ap @ ( ap @ ( ap @ ( c_2Epath_2Eunfold @ A_27b @ A_27c @ A_27a ) @ V0proj ) @ V1f ) @ V2s ) )
% 5.66/5.91 = ( ap @ ( ap @ ( c_2Ellist_2ELUNFOLD @ A_27c @ A_27a ) @ V1f ) @ V2s ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Eokpath__unfold,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,A_27c: del,V0P: $i] :
% 5.66/5.91 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.66/5.91 => ! [V1m: $i] :
% 5.66/5.91 ( ( mem @ V1m @ ( arr @ A_27b @ ( arr @ A_27c @ ( arr @ A_27b @ bool ) ) ) )
% 5.66/5.91 => ! [V2proj: $i] :
% 5.66/5.91 ( ( mem @ V2proj @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.91 => ! [V3f: $i] :
% 5.66/5.91 ( ( mem @ V3f @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27a @ A_27c ) ) ) )
% 5.66/5.91 => ! [V4s: $i] :
% 5.66/5.91 ( ( mem @ V4s @ A_27a )
% 5.66/5.91 => ( ( ( p @ ( ap @ V0P @ V4s ) )
% 5.66/5.91 & ! [V5s: $i] :
% 5.66/5.91 ( ( mem @ V5s @ A_27a )
% 5.66/5.91 => ! [V6s_27: $i] :
% 5.66/5.91 ( ( mem @ V6s_27 @ A_27a )
% 5.66/5.91 => ! [V7l: $i] :
% 5.66/5.91 ( ( mem @ V7l @ A_27c )
% 5.66/5.91 => ( ( ( p @ ( ap @ V0P @ V5s ) )
% 5.66/5.91 & ( ( ap @ V3f @ V5s )
% 5.66/5.91 = ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Epair_2Eprod @ A_27a @ A_27c ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27c ) @ V6s_27 ) @ V7l ) ) ) )
% 5.66/5.91 => ( p @ ( ap @ V0P @ V6s_27 ) ) ) ) ) )
% 5.66/5.91 & ! [V8s: $i] :
% 5.66/5.91 ( ( mem @ V8s @ A_27a )
% 5.66/5.91 => ! [V9s_27: $i] :
% 5.66/5.91 ( ( mem @ V9s_27 @ A_27a )
% 5.66/5.91 => ! [V10l: $i] :
% 5.66/5.91 ( ( mem @ V10l @ A_27c )
% 5.66/5.91 => ( ( ( p @ ( ap @ V0P @ V8s ) )
% 5.66/5.91 & ( ( ap @ V3f @ V8s )
% 5.66/5.91 = ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Epair_2Eprod @ A_27a @ A_27c ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27c ) @ V9s_27 ) @ V10l ) ) ) )
% 5.66/5.91 => ( p @ ( ap @ ( ap @ ( ap @ V1m @ ( ap @ V2proj @ V8s ) ) @ V10l ) @ ( ap @ V2proj @ V9s_27 ) ) ) ) ) ) ) )
% 5.66/5.91 => ( p @ ( ap @ ( ap @ ( c_2Epath_2Eokpath @ A_27b @ A_27c ) @ V1m ) @ ( ap @ ( ap @ ( ap @ ( c_2Epath_2Eunfold @ A_27b @ A_27c @ A_27a ) @ V2proj ) @ V3f ) @ V4s ) ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(ax_thm_2Epath_2Etrace__machine__def,axiom,
% 5.66/5.91 ! [A_27a: del,V0P: $i] :
% 5.66/5.91 ( ( mem @ V0P @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ bool ) )
% 5.66/5.91 => ! [V1s: $i] :
% 5.66/5.91 ( ( mem @ V1s @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.91 => ! [V2l: $i] :
% 5.66/5.91 ( ( mem @ V2l @ A_27a )
% 5.66/5.91 => ! [V3s_27: $i] :
% 5.66/5.91 ( ( mem @ V3s_27 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.91 => ( ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Epath_2Etrace__machine @ A_27a ) @ V0P ) @ V1s ) @ V2l ) @ V3s_27 ) )
% 5.66/5.91 <=> ( ( p @ ( ap @ V0P @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V1s ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2l ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) )
% 5.66/5.91 & ( V3s_27
% 5.66/5.91 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V1s ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2l ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Etrace__machine__thm,axiom,
% 5.66/5.91 ! [A_27a: del,V0P: $i] :
% 5.66/5.91 ( ( mem @ V0P @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ bool ) )
% 5.66/5.91 => ! [V1tr: $i] :
% 5.66/5.91 ( ( mem @ V1tr @ ( ty_2Ellist_2Ellist @ A_27a ) )
% 5.66/5.91 => ( ! [V2n: tp__ty_2Enum_2Enum,V3l: $i] :
% 5.66/5.91 ( ( mem @ V3l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.91 => ( ( ( ap @ ( ap @ ( c_2Ellist_2ELTAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ V1tr )
% 5.66/5.91 = ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Elist_2Elist @ A_27a ) ) @ V3l ) )
% 5.66/5.91 => ( p @ ( ap @ V0P @ V3l ) ) ) )
% 5.66/5.91 => ? [V4p: $i] :
% 5.66/5.91 ( ( mem @ V4p @ ( ty_2Epath_2Epath @ ( ty_2Elist_2Elist @ A_27a ) @ A_27a ) )
% 5.66/5.91 & ( V1tr
% 5.66/5.91 = ( ap @ ( c_2Epath_2Elabels @ ( ty_2Elist_2Elist @ A_27a ) @ A_27a ) @ V4p ) )
% 5.66/5.91 & ( p @ ( ap @ ( ap @ ( c_2Epath_2Eokpath @ ( ty_2Elist_2Elist @ A_27a ) @ A_27a ) @ ( ap @ ( c_2Epath_2Etrace__machine @ A_27a ) @ V0P ) ) @ V4p ) )
% 5.66/5.91 & ( ( ap @ ( c_2Epath_2Efirst @ ( ty_2Elist_2Elist @ A_27a ) @ A_27a ) @ V4p )
% 5.66/5.91 = ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Etrace__machine__thm2,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0n: tp__ty_2Enum_2Enum,V1l: $i] :
% 5.66/5.91 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.91 => ! [V2P: $i] :
% 5.66/5.91 ( ( mem @ V2P @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ bool ) )
% 5.66/5.91 => ! [V3p: $i] :
% 5.66/5.91 ( ( mem @ V3p @ ( ty_2Epath_2Epath @ ( ty_2Elist_2Elist @ A_27a ) @ A_27a ) )
% 5.66/5.91 => ! [V4init: $i] :
% 5.66/5.91 ( ( mem @ V4init @ A_27b )
% 5.66/5.91 => ( ( ( p @ ( ap @ ( ap @ ( c_2Epath_2Eokpath @ ( ty_2Elist_2Elist @ A_27a ) @ A_27a ) @ ( ap @ ( c_2Epath_2Etrace__machine @ A_27a ) @ V2P ) ) @ V3p ) )
% 5.66/5.91 & ( p @ ( ap @ V2P @ ( ap @ ( c_2Epath_2Efirst @ ( ty_2Elist_2Elist @ A_27a ) @ A_27a ) @ V3p ) ) ) )
% 5.66/5.91 => ( ( ( ap @ ( ap @ ( c_2Ellist_2ELTAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( c_2Epath_2Elabels @ ( ty_2Elist_2Elist @ A_27a ) @ A_27a ) @ V3p ) )
% 5.66/5.91 = ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Elist_2Elist @ A_27a ) ) @ V1l ) )
% 5.66/5.91 => ( p @ ( ap @ V2P @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ ( ap @ ( c_2Epath_2Efirst @ ( ty_2Elist_2Elist @ A_27a ) @ A_27a ) @ V3p ) ) @ V1l ) ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2ELTAKE__labels,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0n: tp__ty_2Enum_2Enum,V1p: $i] :
% 5.66/5.91 ( ( mem @ V1p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ! [V2l: $i] :
% 5.66/5.91 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.66/5.91 => ( ( ( ap @ ( ap @ ( c_2Ellist_2ELTAKE @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( c_2Epath_2Elabels @ A_27a @ A_27b ) @ V1p ) )
% 5.66/5.91 = ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Elist_2Elist @ A_27b ) ) @ V2l ) )
% 5.66/5.91 <=> ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( c_2Epath_2EPL @ A_27a @ A_27b ) @ V1p ) ) )
% 5.66/5.91 & ( ( ap @ ( c_2Ellist_2EtoList @ A_27b ) @ ( ap @ ( c_2Epath_2Elabels @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Epath_2Etake @ A_27a @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1p ) ) )
% 5.66/5.91 = ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Elist_2Elist @ A_27b ) ) @ V2l ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Edrop__eq__pcons,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0n: tp__ty_2Enum_2Enum,V1p: $i] :
% 5.66/5.91 ( ( mem @ V1p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ! [V2h: $i] :
% 5.66/5.91 ( ( mem @ V2h @ A_27a )
% 5.66/5.91 => ! [V3l: $i] :
% 5.66/5.91 ( ( mem @ V3l @ A_27b )
% 5.66/5.91 => ! [V4t: $i] :
% 5.66/5.91 ( ( mem @ V4t @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( c_2Epath_2EPL @ A_27a @ A_27b ) @ V1p ) ) )
% 5.66/5.91 & ( ( ap @ ( ap @ ( c_2Epath_2Edrop @ A_27a @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1p )
% 5.66/5.91 = ( ap @ ( ap @ ( ap @ ( c_2Epath_2Epcons @ A_27a @ A_27b ) @ V2h ) @ V3l ) @ V4t ) ) )
% 5.66/5.91 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( c_2Epath_2EPL @ A_27a @ A_27b ) @ V1p ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(ax_thm_2Epath_2Eparallel__comp__def,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,A_27e: del,V0m1: $i] :
% 5.66/5.91 ( ( mem @ V0m1 @ ( arr @ A_27a @ ( arr @ A_27b @ ( arr @ A_27c @ bool ) ) ) )
% 5.66/5.91 => ! [V1m2: $i] :
% 5.66/5.91 ( ( mem @ V1m2 @ ( arr @ A_27d @ ( arr @ A_27b @ ( arr @ A_27e @ bool ) ) ) )
% 5.66/5.91 => ! [V2s1: $i] :
% 5.66/5.91 ( ( mem @ V2s1 @ A_27a )
% 5.66/5.91 => ! [V3s2: $i] :
% 5.66/5.91 ( ( mem @ V3s2 @ A_27d )
% 5.66/5.91 => ! [V4l: $i] :
% 5.66/5.91 ( ( mem @ V4l @ A_27b )
% 5.66/5.91 => ! [V5s1_27: $i] :
% 5.66/5.91 ( ( mem @ V5s1_27 @ A_27c )
% 5.66/5.91 => ! [V6s2_27: $i] :
% 5.66/5.91 ( ( mem @ V6s2_27 @ A_27e )
% 5.66/5.91 => ( ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Epath_2Eparallel__comp @ A_27a @ A_27b @ A_27c @ A_27d @ A_27e ) @ V0m1 ) @ V1m2 ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27d ) @ V2s1 ) @ V3s2 ) ) @ V4l ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27c @ A_27e ) @ V5s1_27 ) @ V6s2_27 ) ) )
% 5.66/5.91 <=> ( ( p @ ( ap @ ( ap @ ( ap @ V0m1 @ V2s1 ) @ V4l ) @ V5s1_27 ) )
% 5.66/5.91 & ( p @ ( ap @ ( ap @ ( ap @ V1m2 @ V3s2 ) @ V4l ) @ V6s2_27 ) ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Eokpath__parallel__comp,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,A_27c: del,V0p: $i] :
% 5.66/5.91 ( ( mem @ V0p @ ( ty_2Epath_2Epath @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ A_27c ) )
% 5.66/5.91 => ! [V1m1: $i] :
% 5.66/5.91 ( ( mem @ V1m1 @ ( arr @ A_27a @ ( arr @ A_27c @ ( arr @ A_27a @ bool ) ) ) )
% 5.66/5.91 => ! [V2m2: $i] :
% 5.66/5.91 ( ( mem @ V2m2 @ ( arr @ A_27b @ ( arr @ A_27c @ ( arr @ A_27b @ bool ) ) ) )
% 5.66/5.91 => ( ( p @ ( ap @ ( ap @ ( c_2Epath_2Eokpath @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ A_27c ) @ ( ap @ ( ap @ ( c_2Epath_2Eparallel__comp @ A_27a @ A_27c @ A_27a @ A_27b @ A_27b ) @ V1m1 ) @ V2m2 ) ) @ V0p ) )
% 5.66/5.91 <=> ( ( p
% 5.66/5.91 @ ( ap @ ( ap @ ( c_2Epath_2Eokpath @ A_27a @ A_27c ) @ V1m1 )
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap @ ( ap @ ( c_2Epath_2Epmap @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ A_27c @ A_27a @ A_27c ) @ ( c_2Epair_2EFST @ A_27a @ A_27b ) )
% 5.66/5.91 @ ( lam @ A_27c
% 5.66/5.91 @ ^ [V3x: $i] : V3x ) )
% 5.66/5.91 @ V0p ) ) )
% 5.66/5.91 & ( p
% 5.66/5.91 @ ( ap @ ( ap @ ( c_2Epath_2Eokpath @ A_27b @ A_27c ) @ V2m2 )
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap @ ( ap @ ( c_2Epath_2Epmap @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ A_27c @ A_27b @ A_27c ) @ ( c_2Epair_2ESND @ A_27a @ A_27b ) )
% 5.66/5.91 @ ( lam @ A_27c
% 5.66/5.91 @ ^ [V4x: $i] : V4x ) )
% 5.66/5.91 @ V0p ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Ebuild__pcomp__trace,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,A_27c: del,V0m1: $i] :
% 5.66/5.91 ( ( mem @ V0m1 @ ( arr @ A_27a @ ( arr @ A_27b @ ( arr @ A_27a @ bool ) ) ) )
% 5.66/5.91 => ! [V1p1: $i] :
% 5.66/5.91 ( ( mem @ V1p1 @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ! [V2m2: $i] :
% 5.66/5.91 ( ( mem @ V2m2 @ ( arr @ A_27c @ ( arr @ A_27b @ ( arr @ A_27c @ bool ) ) ) )
% 5.66/5.91 => ! [V3p2: $i] :
% 5.66/5.91 ( ( mem @ V3p2 @ ( ty_2Epath_2Epath @ A_27c @ A_27b ) )
% 5.66/5.91 => ( ( ( p @ ( ap @ ( ap @ ( c_2Epath_2Eokpath @ A_27a @ A_27b ) @ V0m1 ) @ V1p1 ) )
% 5.66/5.91 & ( p @ ( ap @ ( ap @ ( c_2Epath_2Eokpath @ A_27c @ A_27b ) @ V2m2 ) @ V3p2 ) )
% 5.66/5.91 & ( ( ap @ ( c_2Epath_2Elabels @ A_27a @ A_27b ) @ V1p1 )
% 5.66/5.91 = ( ap @ ( c_2Epath_2Elabels @ A_27c @ A_27b ) @ V3p2 ) ) )
% 5.66/5.91 => ? [V4p: $i] :
% 5.66/5.91 ( ( mem @ V4p @ ( ty_2Epath_2Epath @ ( ty_2Epair_2Eprod @ A_27a @ A_27c ) @ A_27b ) )
% 5.66/5.91 & ( p @ ( ap @ ( ap @ ( c_2Epath_2Eokpath @ ( ty_2Epair_2Eprod @ A_27a @ A_27c ) @ A_27b ) @ ( ap @ ( ap @ ( c_2Epath_2Eparallel__comp @ A_27a @ A_27b @ A_27a @ A_27c @ A_27c ) @ V0m1 ) @ V2m2 ) ) @ V4p ) )
% 5.66/5.91 & ( ( ap @ ( c_2Epath_2Elabels @ ( ty_2Epair_2Eprod @ A_27a @ A_27c ) @ A_27b ) @ V4p )
% 5.66/5.91 = ( ap @ ( c_2Epath_2Elabels @ A_27a @ A_27b ) @ V1p1 ) )
% 5.66/5.91 & ( ( ap @ ( c_2Epath_2Efirst @ ( ty_2Epair_2Eprod @ A_27a @ A_27c ) @ A_27b ) @ V4p )
% 5.66/5.91 = ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27c ) @ ( ap @ ( c_2Epath_2Efirst @ A_27a @ A_27b ) @ V1p1 ) ) @ ( ap @ ( c_2Epath_2Efirst @ A_27c @ A_27b ) @ V3p2 ) ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Enth__label__LNTH,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0n: tp__ty_2Enum_2Enum,V1p: $i] :
% 5.66/5.91 ( ( mem @ V1p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ! [V2x: $i] :
% 5.66/5.91 ( ( mem @ V2x @ A_27b )
% 5.66/5.91 => ( ( ( ap @ ( ap @ ( c_2Ellist_2ELNTH @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( c_2Epath_2Elabels @ A_27a @ A_27b ) @ V1p ) )
% 5.66/5.91 = ( ap @ ( c_2Eoption_2ESOME @ A_27b ) @ V2x ) )
% 5.66/5.91 <=> ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( c_2Epath_2EPL @ A_27a @ A_27b ) @ V1p ) ) )
% 5.66/5.91 & ( ( ap @ ( ap @ ( c_2Epath_2Enth__label @ A_27b @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V1p )
% 5.66/5.91 = V2x ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Enth__label__LTAKE,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,A_27c: del,V0n: tp__ty_2Enum_2Enum,V1p: $i] :
% 5.66/5.91 ( ( mem @ V1p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ! [V2l: $i] :
% 5.66/5.91 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27b ) )
% 5.66/5.91 => ! [V3i: tp__ty_2Enum_2Enum,V4v: $i] :
% 5.66/5.91 ( ( mem @ V4v @ A_27c )
% 5.66/5.91 => ( ( ( ( ap @ ( ap @ ( c_2Ellist_2ELTAKE @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( c_2Epath_2Elabels @ A_27a @ A_27b ) @ V1p ) )
% 5.66/5.91 = ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Elist_2Elist @ A_27b ) ) @ V2l ) )
% 5.66/5.91 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V3i ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27b ) @ V2l ) ) ) )
% 5.66/5.91 => ( ( ap @ ( ap @ ( c_2Epath_2Enth__label @ A_27b @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V3i ) ) @ V1p )
% 5.66/5.91 = ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V3i ) ) @ V2l ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Efinite__path__end__cases,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0p: $i] :
% 5.66/5.91 ( ( mem @ V0p @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( p @ ( ap @ ( c_2Epath_2Efinite @ A_27a @ A_27b ) @ V0p ) )
% 5.66/5.91 => ( ? [V1x: $i] :
% 5.66/5.91 ( ( mem @ V1x @ A_27a )
% 5.66/5.91 & ( V0p
% 5.66/5.91 = ( ap @ ( c_2Epath_2Estopped__at @ A_27a @ A_27b ) @ V1x ) ) )
% 5.66/5.91 | ? [V2p_27: $i] :
% 5.66/5.91 ( ( mem @ V2p_27 @ ( ty_2Epath_2Epath @ A_27a @ A_27b ) )
% 5.66/5.91 & ? [V3l: $i] :
% 5.66/5.91 ( ( mem @ V3l @ A_27b )
% 5.66/5.91 & ? [V4s: $i] :
% 5.66/5.91 ( ( mem @ V4s @ A_27a )
% 5.66/5.91 & ( V0p
% 5.66/5.91 = ( ap @ ( ap @ ( c_2Epath_2Eplink @ A_27a @ A_27b ) @ V2p_27 ) @ ( ap @ ( ap @ ( ap @ ( c_2Epath_2Epcons @ A_27a @ A_27b ) @ ( ap @ ( c_2Epath_2Elast @ A_27a @ A_27b ) @ V2p_27 ) ) @ V3l ) @ ( ap @ ( c_2Epath_2Estopped__at @ A_27a @ A_27b ) @ V4s ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Epath_2Esimulation__trace__inclusion,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,A_27c: del,V0R: $i] :
% 5.66/5.91 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.66/5.91 => ! [V1M1: $i] :
% 5.66/5.91 ( ( mem @ V1M1 @ ( arr @ A_27a @ ( arr @ A_27c @ ( arr @ A_27a @ bool ) ) ) )
% 5.66/5.91 => ! [V2M2: $i] :
% 5.66/5.91 ( ( mem @ V2M2 @ ( arr @ A_27b @ ( arr @ A_27c @ ( arr @ A_27b @ bool ) ) ) )
% 5.66/5.91 => ! [V3p: $i] :
% 5.66/5.91 ( ( mem @ V3p @ ( ty_2Epath_2Epath @ A_27a @ A_27c ) )
% 5.66/5.91 => ! [V4t__init: $i] :
% 5.66/5.91 ( ( mem @ V4t__init @ A_27b )
% 5.66/5.91 => ( ( ! [V5s1: $i] :
% 5.66/5.91 ( ( mem @ V5s1 @ A_27a )
% 5.66/5.91 => ! [V6l: $i] :
% 5.66/5.91 ( ( mem @ V6l @ A_27c )
% 5.66/5.91 => ! [V7s2: $i] :
% 5.66/5.91 ( ( mem @ V7s2 @ A_27a )
% 5.66/5.91 => ! [V8t1: $i] :
% 5.66/5.91 ( ( mem @ V8t1 @ A_27b )
% 5.66/5.91 => ( ( ( p @ ( ap @ ( ap @ V0R @ V5s1 ) @ V8t1 ) )
% 5.66/5.91 & ( p @ ( ap @ ( ap @ ( ap @ V1M1 @ V5s1 ) @ V6l ) @ V7s2 ) ) )
% 5.66/5.91 => ? [V9t2: $i] :
% 5.66/5.91 ( ( mem @ V9t2 @ A_27b )
% 5.66/5.91 & ( p @ ( ap @ ( ap @ V0R @ V7s2 ) @ V9t2 ) )
% 5.66/5.91 & ( p @ ( ap @ ( ap @ ( ap @ V2M2 @ V8t1 ) @ V6l ) @ V9t2 ) ) ) ) ) ) ) )
% 5.66/5.91 & ( p @ ( ap @ ( ap @ ( c_2Epath_2Eokpath @ A_27a @ A_27c ) @ V1M1 ) @ V3p ) )
% 5.66/5.91 & ( p @ ( ap @ ( ap @ V0R @ ( ap @ ( c_2Epath_2Efirst @ A_27a @ A_27c ) @ V3p ) ) @ V4t__init ) ) )
% 5.66/5.91 => ? [V10q: $i] :
% 5.66/5.91 ( ( mem @ V10q @ ( ty_2Epath_2Epath @ A_27b @ A_27c ) )
% 5.66/5.91 & ( p @ ( ap @ ( ap @ ( c_2Epath_2Eokpath @ A_27b @ A_27c ) @ V2M2 ) @ V10q ) )
% 5.66/5.91 & ( ( ap @ ( c_2Epath_2Elabels @ A_27a @ A_27c ) @ V3p )
% 5.66/5.91 = ( ap @ ( c_2Epath_2Elabels @ A_27b @ A_27c ) @ V10q ) )
% 5.66/5.91 & ( ( ap @ ( c_2Epath_2Efirst @ A_27b @ A_27c ) @ V10q )
% 5.66/5.91 = V4t__init ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 %------------------------------------------------------------------------------
% 5.66/5.91 %------------------------------------------------------------------------------
% 5.66/5.91 thf(tp_c_2Eupdate_2EFIND,type,
% 5.66/5.91 c_2Eupdate_2EFIND: del > $i ).
% 5.66/5.91
% 5.66/5.91 thf(mem_c_2Eupdate_2EFIND,axiom,
% 5.66/5.91 ! [A_27a: del] : ( mem @ ( c_2Eupdate_2EFIND @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Eoption_2Eoption @ A_27a ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(tp_c_2Eupdate_2ELIST__UPDATE,type,
% 5.66/5.91 c_2Eupdate_2ELIST__UPDATE: del > del > $i ).
% 5.66/5.91
% 5.66/5.91 thf(mem_c_2Eupdate_2ELIST__UPDATE,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Eupdate_2ELIST__UPDATE @ A_27a @ A_27b ) @ ( arr @ ( ty_2Elist_2Elist @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( arr @ ( arr @ A_27a @ A_27b ) @ ( arr @ A_27a @ A_27b ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(tp_c_2Eupdate_2EOVERRIDE,type,
% 5.66/5.91 c_2Eupdate_2EOVERRIDE: del > del > $i ).
% 5.66/5.91
% 5.66/5.91 thf(mem_c_2Eupdate_2EOVERRIDE,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Eupdate_2EOVERRIDE @ A_27a @ A_27b ) @ ( arr @ ( ty_2Elist_2Elist @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( ty_2Elist_2Elist @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(ax_thm_2Eupdate_2EFIND__def,axiom,
% 5.66/5.91 ! [A_27a: del] :
% 5.66/5.91 ( ! [V0P: $i] :
% 5.66/5.91 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.66/5.91 => ( ( ap @ ( ap @ ( c_2Eupdate_2EFIND @ A_27a ) @ V0P ) @ ( c_2Elist_2ENIL @ A_27a ) )
% 5.66/5.91 = ( c_2Eoption_2ENONE @ A_27a ) ) )
% 5.66/5.91 & ! [V1P: $i] :
% 5.66/5.91 ( ( mem @ V1P @ ( arr @ A_27a @ bool ) )
% 5.66/5.91 => ! [V2h: $i] :
% 5.66/5.91 ( ( mem @ V2h @ A_27a )
% 5.66/5.91 => ! [V3t: $i] :
% 5.66/5.91 ( ( mem @ V3t @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.91 => ( ( ap @ ( ap @ ( c_2Eupdate_2EFIND @ A_27a ) @ V1P ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2h ) @ V3t ) )
% 5.66/5.91 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ ( ap @ V1P @ V2h ) ) @ ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V2h ) ) @ ( ap @ ( ap @ ( c_2Eupdate_2EFIND @ A_27a ) @ V1P ) @ V3t ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(ax_thm_2Eupdate_2EOVERRIDE__primitive__def,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del] :
% 5.66/5.91 ( ( c_2Eupdate_2EOVERRIDE @ A_27a @ A_27b )
% 5.66/5.91 = ( ap
% 5.66/5.91 @ ( ap @ ( c_2Erelation_2EWFREC @ ( ty_2Elist_2Elist @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( ty_2Elist_2Elist @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) )
% 5.66/5.91 @ ( ap @ ( c_2Emin_2E_40 @ ( arr @ ( ty_2Elist_2Elist @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( arr @ ( ty_2Elist_2Elist @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ bool ) ) )
% 5.66/5.91 @ ( lam @ ( arr @ ( ty_2Elist_2Elist @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( arr @ ( ty_2Elist_2Elist @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ bool ) )
% 5.66/5.91 @ ^ [V0R: $i] :
% 5.66/5.91 ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( c_2Erelation_2EWF @ ( ty_2Elist_2Elist @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) ) @ V0R ) )
% 5.66/5.91 @ ( ap @ ( c_2Ebool_2E_21 @ ( ty_2Elist_2Elist @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) )
% 5.66/5.91 @ ( lam @ ( ty_2Elist_2Elist @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) )
% 5.66/5.91 @ ^ [V1t: $i] :
% 5.66/5.91 ( ap @ ( c_2Ebool_2E_21 @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) )
% 5.66/5.91 @ ( lam @ ( ty_2Epair_2Eprod @ A_27a @ A_27b )
% 5.66/5.91 @ ^ [V2x: $i] :
% 5.66/5.91 ( ap
% 5.66/5.91 @ ( ap @ V0R
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap @ ( c_2Elist_2EFILTER @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) )
% 5.66/5.91 @ ( lam @ ( ty_2Epair_2Eprod @ A_27a @ A_27b )
% 5.66/5.91 @ ^ [V3y: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ ( ap @ ( c_2Epair_2EFST @ A_27a @ A_27b ) @ V2x ) ) @ ( ap @ ( c_2Epair_2EFST @ A_27a @ A_27b ) @ V3y ) ) ) ) )
% 5.66/5.91 @ V1t ) )
% 5.66/5.91 @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ V2x ) @ V1t ) ) ) ) ) ) ) ) ) )
% 5.66/5.91 @ ( lam @ ( arr @ ( ty_2Elist_2Elist @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( ty_2Elist_2Elist @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) )
% 5.66/5.91 @ ^ [V4OVERRIDE: $i] :
% 5.66/5.91 ( lam @ ( ty_2Elist_2Elist @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) )
% 5.66/5.91 @ ^ [V5a: $i] :
% 5.66/5.91 ( ap @ ( ap @ ( ap @ ( c_2Elist_2Elist__CASE @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ ( ty_2Elist_2Elist @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) ) @ V5a ) @ ( ap @ ( c_2Ecombin_2EI @ ( ty_2Elist_2Elist @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) ) @ ( c_2Elist_2ENIL @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) ) )
% 5.66/5.91 @ ( lam @ ( ty_2Epair_2Eprod @ A_27a @ A_27b )
% 5.66/5.91 @ ^ [V6x: $i] :
% 5.66/5.91 ( lam @ ( ty_2Elist_2Elist @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) )
% 5.66/5.91 @ ^ [V7t: $i] :
% 5.66/5.91 ( ap @ ( c_2Ecombin_2EI @ ( ty_2Elist_2Elist @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) )
% 5.66/5.91 @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ V6x )
% 5.66/5.91 @ ( ap @ V4OVERRIDE
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap @ ( c_2Elist_2EFILTER @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) )
% 5.66/5.91 @ ( lam @ ( ty_2Epair_2Eprod @ A_27a @ A_27b )
% 5.66/5.91 @ ^ [V8y: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ ( ap @ ( c_2Epair_2EFST @ A_27a @ A_27b ) @ V6x ) ) @ ( ap @ ( c_2Epair_2EFST @ A_27a @ A_27b ) @ V8y ) ) ) ) )
% 5.66/5.91 @ V7t ) ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Eupdate_2EOVERRIDE__ind,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.66/5.91 ( ( mem @ V0P @ ( arr @ ( ty_2Elist_2Elist @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ bool ) )
% 5.66/5.91 => ( ( ( p @ ( ap @ V0P @ ( c_2Elist_2ENIL @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) ) )
% 5.66/5.91 & ! [V1x: $i] :
% 5.66/5.91 ( ( mem @ V1x @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) )
% 5.66/5.91 => ! [V2t: $i] :
% 5.66/5.91 ( ( mem @ V2t @ ( ty_2Elist_2Elist @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) )
% 5.66/5.91 => ( ( p
% 5.66/5.91 @ ( ap @ V0P
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap @ ( c_2Elist_2EFILTER @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) )
% 5.66/5.91 @ ( lam @ ( ty_2Epair_2Eprod @ A_27a @ A_27b )
% 5.66/5.91 @ ^ [V3y: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ ( ap @ ( c_2Epair_2EFST @ A_27a @ A_27b ) @ V1x ) ) @ ( ap @ ( c_2Epair_2EFST @ A_27a @ A_27b ) @ V3y ) ) ) ) )
% 5.66/5.91 @ V2t ) ) )
% 5.66/5.91 => ( p @ ( ap @ V0P @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ V1x ) @ V2t ) ) ) ) ) ) )
% 5.66/5.91 => ! [V4v: $i] :
% 5.66/5.91 ( ( mem @ V4v @ ( ty_2Elist_2Elist @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) )
% 5.66/5.91 => ( p @ ( ap @ V0P @ V4v ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Eupdate_2EOVERRIDE__def,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del] :
% 5.66/5.91 ( ( ( ap @ ( c_2Eupdate_2EOVERRIDE @ A_27a @ A_27b ) @ ( c_2Elist_2ENIL @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) )
% 5.66/5.91 = ( c_2Elist_2ENIL @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) )
% 5.66/5.91 & ! [V0x: $i] :
% 5.66/5.91 ( ( mem @ V0x @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) )
% 5.66/5.91 => ! [V1t: $i] :
% 5.66/5.91 ( ( mem @ V1t @ ( ty_2Elist_2Elist @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) )
% 5.66/5.91 => ( ( ap @ ( c_2Eupdate_2EOVERRIDE @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ V0x ) @ V1t ) )
% 5.66/5.91 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ V0x )
% 5.66/5.91 @ ( ap @ ( c_2Eupdate_2EOVERRIDE @ A_27a @ A_27b )
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap @ ( c_2Elist_2EFILTER @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) )
% 5.66/5.91 @ ( lam @ ( ty_2Epair_2Eprod @ A_27a @ A_27b )
% 5.66/5.91 @ ^ [V2y: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ ( ap @ ( c_2Epair_2EFST @ A_27a @ A_27b ) @ V0x ) ) @ ( ap @ ( c_2Epair_2EFST @ A_27a @ A_27b ) @ V2y ) ) ) ) )
% 5.66/5.91 @ V1t ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(ax_thm_2Eupdate_2ELIST__UPDATE__def,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del] :
% 5.66/5.91 ( ( ( ap @ ( c_2Eupdate_2ELIST__UPDATE @ A_27a @ A_27b ) @ ( c_2Elist_2ENIL @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) )
% 5.66/5.91 = ( c_2Ecombin_2EI @ ( arr @ A_27a @ A_27b ) ) )
% 5.66/5.91 & ! [V0h: $i] :
% 5.66/5.91 ( ( mem @ V0h @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) )
% 5.66/5.91 => ! [V1t: $i] :
% 5.66/5.91 ( ( mem @ V1t @ ( ty_2Elist_2Elist @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) )
% 5.66/5.91 => ( ( ap @ ( c_2Eupdate_2ELIST__UPDATE @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ V0h ) @ V1t ) )
% 5.66/5.91 = ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( arr @ A_27a @ A_27b ) @ ( arr @ A_27a @ A_27b ) @ ( arr @ A_27a @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Ecombin_2EUPDATE @ A_27a @ A_27b ) @ ( ap @ ( c_2Epair_2EFST @ A_27a @ A_27b ) @ V0h ) ) @ ( ap @ ( c_2Epair_2ESND @ A_27a @ A_27b ) @ V0h ) ) ) @ ( ap @ ( c_2Eupdate_2ELIST__UPDATE @ A_27a @ A_27b ) @ V1t ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Eupdate_2ELIST__UPDATE__LOOKUP,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0l: $i] :
% 5.66/5.91 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) )
% 5.66/5.91 => ! [V1f: $i] :
% 5.66/5.91 ( ( mem @ V1f @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.91 => ! [V2i: $i] :
% 5.66/5.91 ( ( mem @ V2i @ A_27a )
% 5.66/5.91 => ( ( ap @ ( ap @ ( ap @ ( c_2Eupdate_2ELIST__UPDATE @ A_27a @ A_27b ) @ V0l ) @ V1f ) @ V2i )
% 5.66/5.91 = ( ap
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap @ ( c_2Eoption_2Eoption__CASE @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ A_27b )
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap @ ( c_2Eupdate_2EFIND @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) )
% 5.66/5.91 @ ( lam @ ( ty_2Epair_2Eprod @ A_27a @ A_27b )
% 5.66/5.91 @ ^ [V3x: $i] : ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ ( ap @ ( c_2Epair_2EFST @ A_27a @ A_27b ) @ V3x ) ) @ V2i ) ) )
% 5.66/5.91 @ V0l ) )
% 5.66/5.91 @ ( ap @ V1f @ V2i ) )
% 5.66/5.91 @ ( lam @ ( ty_2Epair_2Eprod @ A_27a @ A_27b )
% 5.66/5.91 @ ^ [V4v: $i] :
% 5.66/5.91 ( ap @ ( ap @ ( c_2Epair_2Epair__CASE @ A_27b @ A_27a @ A_27b ) @ V4v )
% 5.66/5.91 @ ( lam @ A_27a
% 5.66/5.91 @ ^ [V5v1: $i] :
% 5.66/5.91 ( lam @ A_27b
% 5.66/5.91 @ ^ [V6e: $i] : V6e ) ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Eupdate_2ELIST__UPDATE__OVERRIDE,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0l: $i] :
% 5.66/5.91 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) )
% 5.66/5.91 => ( ( ap @ ( c_2Eupdate_2ELIST__UPDATE @ A_27a @ A_27b ) @ V0l )
% 5.66/5.91 = ( ap @ ( c_2Eupdate_2ELIST__UPDATE @ A_27a @ A_27b ) @ ( ap @ ( c_2Eupdate_2EOVERRIDE @ A_27a @ A_27b ) @ V0l ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Eupdate_2ELIST__UPDATE__ALL__DISTINCT,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0l1: $i] :
% 5.66/5.91 ( ( mem @ V0l1 @ ( ty_2Elist_2Elist @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) )
% 5.66/5.91 => ! [V1l2: $i] :
% 5.66/5.91 ( ( mem @ V1l2 @ ( ty_2Elist_2Elist @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) )
% 5.66/5.91 => ( ( ( p @ ( ap @ ( c_2Elist_2EALL__DISTINCT @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ A_27a ) @ ( c_2Epair_2EFST @ A_27a @ A_27b ) ) @ V1l2 ) ) )
% 5.66/5.91 & ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ V0l1 ) @ V1l2 ) ) )
% 5.66/5.91 => ( ( ap @ ( c_2Eupdate_2ELIST__UPDATE @ A_27a @ A_27b ) @ V0l1 )
% 5.66/5.91 = ( ap @ ( c_2Eupdate_2ELIST__UPDATE @ A_27a @ A_27b ) @ V1l2 ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Eupdate_2ELIST__UPDATE__SORT__OVERRIDE,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.66/5.91 ( ( mem @ V0R @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ bool ) ) )
% 5.66/5.91 => ! [V1l: $i] :
% 5.66/5.91 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) )
% 5.66/5.91 => ( ( ap @ ( c_2Eupdate_2ELIST__UPDATE @ A_27a @ A_27b ) @ V1l )
% 5.66/5.91 = ( ap @ ( c_2Eupdate_2ELIST__UPDATE @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Esorting_2EQSORT @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ V0R ) @ ( ap @ ( c_2Eupdate_2EOVERRIDE @ A_27a @ A_27b ) @ V1l ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Eupdate_2ELIST__UPDATE__THMS,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,A_27e: del,A_27f: del,A_27g: del,A_27h: del] :
% 5.66/5.91 ( ! [V0l1: $i] :
% 5.66/5.91 ( ( mem @ V0l1 @ A_27a )
% 5.66/5.91 => ! [V1l2: $i] :
% 5.66/5.91 ( ( mem @ V1l2 @ A_27a )
% 5.66/5.91 => ! [V2r1: $i] :
% 5.66/5.91 ( ( mem @ V2r1 @ A_27b )
% 5.66/5.91 => ! [V3r2: $i] :
% 5.66/5.91 ( ( mem @ V3r2 @ A_27b )
% 5.66/5.91 => ( ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( arr @ A_27a @ A_27b ) @ ( arr @ A_27a @ A_27b ) @ ( arr @ A_27a @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Ecombin_2EUPDATE @ A_27a @ A_27b ) @ V0l1 ) @ V2r1 ) ) @ ( ap @ ( ap @ ( c_2Ecombin_2EUPDATE @ A_27a @ A_27b ) @ V1l2 ) @ V3r2 ) )
% 5.66/5.91 = ( ap @ ( c_2Eupdate_2ELIST__UPDATE @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V0l1 ) @ V2r1 ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V1l2 ) @ V3r2 ) ) @ ( c_2Elist_2ENIL @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) ) ) ) ) ) ) ) )
% 5.66/5.91 & ! [V4l: $i] :
% 5.66/5.91 ( ( mem @ V4l @ A_27c )
% 5.66/5.91 => ! [V5r: $i] :
% 5.66/5.91 ( ( mem @ V5r @ A_27d )
% 5.66/5.91 => ! [V6t: $i] :
% 5.66/5.91 ( ( mem @ V6t @ ( ty_2Elist_2Elist @ ( ty_2Epair_2Eprod @ A_27c @ A_27d ) ) )
% 5.66/5.91 => ( ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( arr @ A_27c @ A_27d ) @ ( arr @ A_27c @ A_27d ) @ ( arr @ A_27c @ A_27d ) ) @ ( ap @ ( ap @ ( c_2Ecombin_2EUPDATE @ A_27c @ A_27d ) @ V4l ) @ V5r ) ) @ ( ap @ ( c_2Eupdate_2ELIST__UPDATE @ A_27c @ A_27d ) @ V6t ) )
% 5.66/5.91 = ( ap @ ( c_2Eupdate_2ELIST__UPDATE @ A_27c @ A_27d ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ( ty_2Epair_2Eprod @ A_27c @ A_27d ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27c @ A_27d ) @ V4l ) @ V5r ) ) @ V6t ) ) ) ) ) )
% 5.66/5.91 & ! [V7l1: $i] :
% 5.66/5.91 ( ( mem @ V7l1 @ A_27e )
% 5.66/5.91 => ! [V8l2: $i] :
% 5.66/5.91 ( ( mem @ V8l2 @ A_27e )
% 5.66/5.91 => ! [V9r1: $i] :
% 5.66/5.91 ( ( mem @ V9r1 @ A_27f )
% 5.66/5.91 => ! [V10r2: $i] :
% 5.66/5.91 ( ( mem @ V10r2 @ A_27f )
% 5.66/5.91 => ! [V11f: $i] :
% 5.66/5.91 ( ( mem @ V11f @ ( arr @ A_27e @ A_27f ) )
% 5.66/5.91 => ( ( ap @ ( ap @ ( ap @ ( c_2Ecombin_2EUPDATE @ A_27e @ A_27f ) @ V7l1 ) @ V9r1 ) @ ( ap @ ( ap @ ( ap @ ( c_2Ecombin_2EUPDATE @ A_27e @ A_27f ) @ V8l2 ) @ V10r2 ) @ V11f ) )
% 5.66/5.91 = ( ap @ ( ap @ ( c_2Eupdate_2ELIST__UPDATE @ A_27e @ A_27f ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ( ty_2Epair_2Eprod @ A_27e @ A_27f ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27e @ A_27f ) @ V7l1 ) @ V9r1 ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ( ty_2Epair_2Eprod @ A_27e @ A_27f ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27e @ A_27f ) @ V8l2 ) @ V10r2 ) ) @ ( c_2Elist_2ENIL @ ( ty_2Epair_2Eprod @ A_27e @ A_27f ) ) ) ) ) @ V11f ) ) ) ) ) ) )
% 5.66/5.91 & ! [V12l: $i] :
% 5.66/5.91 ( ( mem @ V12l @ A_27g )
% 5.66/5.91 => ! [V13r: $i] :
% 5.66/5.91 ( ( mem @ V13r @ A_27h )
% 5.66/5.91 => ! [V14t: $i] :
% 5.66/5.91 ( ( mem @ V14t @ ( ty_2Elist_2Elist @ ( ty_2Epair_2Eprod @ A_27g @ A_27h ) ) )
% 5.66/5.91 => ! [V15f: $i] :
% 5.66/5.91 ( ( mem @ V15f @ ( arr @ A_27g @ A_27h ) )
% 5.66/5.91 => ( ( ap @ ( ap @ ( ap @ ( c_2Ecombin_2EUPDATE @ A_27g @ A_27h ) @ V12l ) @ V13r ) @ ( ap @ ( ap @ ( c_2Eupdate_2ELIST__UPDATE @ A_27g @ A_27h ) @ V14t ) @ V15f ) )
% 5.66/5.91 = ( ap @ ( ap @ ( c_2Eupdate_2ELIST__UPDATE @ A_27g @ A_27h ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ( ty_2Epair_2Eprod @ A_27g @ A_27h ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27g @ A_27h ) @ V12l ) @ V13r ) ) @ V14t ) ) @ V15f ) ) ) ) ) )
% 5.66/5.91 & ! [V16l1: $i] :
% 5.66/5.91 ( ( mem @ V16l1 @ ( ty_2Elist_2Elist @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) )
% 5.66/5.91 => ! [V17l2: $i] :
% 5.66/5.91 ( ( mem @ V17l2 @ ( ty_2Elist_2Elist @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) )
% 5.66/5.91 => ( ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( arr @ A_27a @ A_27b ) @ ( arr @ A_27a @ A_27b ) @ ( arr @ A_27a @ A_27b ) ) @ ( ap @ ( c_2Eupdate_2ELIST__UPDATE @ A_27a @ A_27b ) @ V16l1 ) ) @ ( ap @ ( c_2Eupdate_2ELIST__UPDATE @ A_27a @ A_27b ) @ V17l2 ) )
% 5.66/5.91 = ( ap @ ( c_2Eupdate_2ELIST__UPDATE @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ V16l1 ) @ V17l2 ) ) ) ) )
% 5.66/5.91 & ! [V18l1: $i] :
% 5.66/5.91 ( ( mem @ V18l1 @ ( ty_2Elist_2Elist @ ( ty_2Epair_2Eprod @ A_27c @ A_27d ) ) )
% 5.66/5.91 => ! [V19l2: $i] :
% 5.66/5.91 ( ( mem @ V19l2 @ A_27c )
% 5.66/5.91 => ! [V20r: $i] :
% 5.66/5.91 ( ( mem @ V20r @ A_27d )
% 5.66/5.91 => ( ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( arr @ A_27c @ A_27d ) @ ( arr @ A_27c @ A_27d ) @ ( arr @ A_27c @ A_27d ) ) @ ( ap @ ( c_2Eupdate_2ELIST__UPDATE @ A_27c @ A_27d ) @ V18l1 ) ) @ ( ap @ ( ap @ ( c_2Ecombin_2EUPDATE @ A_27c @ A_27d ) @ V19l2 ) @ V20r ) )
% 5.66/5.91 = ( ap @ ( c_2Eupdate_2ELIST__UPDATE @ A_27c @ A_27d ) @ ( ap @ ( ap @ ( c_2Elist_2ESNOC @ ( ty_2Epair_2Eprod @ A_27c @ A_27d ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27c @ A_27d ) @ V19l2 ) @ V20r ) ) @ V18l1 ) ) ) ) ) )
% 5.66/5.91 & ! [V21l1: $i] :
% 5.66/5.91 ( ( mem @ V21l1 @ ( ty_2Elist_2Elist @ ( ty_2Epair_2Eprod @ A_27e @ A_27f ) ) )
% 5.66/5.91 => ! [V22l2: $i] :
% 5.66/5.91 ( ( mem @ V22l2 @ ( ty_2Elist_2Elist @ ( ty_2Epair_2Eprod @ A_27e @ A_27f ) ) )
% 5.66/5.91 => ! [V23f: $i] :
% 5.66/5.91 ( ( mem @ V23f @ ( arr @ A_27e @ A_27f ) )
% 5.66/5.91 => ( ( ap @ ( ap @ ( c_2Eupdate_2ELIST__UPDATE @ A_27e @ A_27f ) @ V21l1 ) @ ( ap @ ( ap @ ( c_2Eupdate_2ELIST__UPDATE @ A_27e @ A_27f ) @ V22l2 ) @ V23f ) )
% 5.66/5.91 = ( ap @ ( ap @ ( c_2Eupdate_2ELIST__UPDATE @ A_27e @ A_27f ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ ( ty_2Epair_2Eprod @ A_27e @ A_27f ) ) @ V21l1 ) @ V22l2 ) ) @ V23f ) ) ) ) )
% 5.66/5.91 & ! [V24l1: $i] :
% 5.66/5.91 ( ( mem @ V24l1 @ ( ty_2Elist_2Elist @ ( ty_2Epair_2Eprod @ A_27g @ A_27h ) ) )
% 5.66/5.91 => ! [V25l2: $i] :
% 5.66/5.91 ( ( mem @ V25l2 @ A_27g )
% 5.66/5.91 => ! [V26r: $i] :
% 5.66/5.91 ( ( mem @ V26r @ A_27h )
% 5.66/5.91 => ! [V27f: $i] :
% 5.66/5.91 ( ( mem @ V27f @ ( arr @ A_27g @ A_27h ) )
% 5.66/5.91 => ( ( ap @ ( ap @ ( c_2Eupdate_2ELIST__UPDATE @ A_27g @ A_27h ) @ V24l1 ) @ ( ap @ ( ap @ ( ap @ ( c_2Ecombin_2EUPDATE @ A_27g @ A_27h ) @ V25l2 ) @ V26r ) @ V27f ) )
% 5.66/5.91 = ( ap @ ( ap @ ( c_2Eupdate_2ELIST__UPDATE @ A_27g @ A_27h ) @ ( ap @ ( ap @ ( c_2Elist_2ESNOC @ ( ty_2Epair_2Eprod @ A_27g @ A_27h ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27g @ A_27h ) @ V25l2 ) @ V26r ) ) @ V24l1 ) ) @ V27f ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Eupdate_2EAPPLY__UPDATE__ID,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.91 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.91 => ! [V1a: $i] :
% 5.66/5.91 ( ( mem @ V1a @ A_27a )
% 5.66/5.91 => ( ( ap @ ( ap @ ( ap @ ( c_2Ecombin_2EUPDATE @ A_27a @ A_27b ) @ V1a ) @ ( ap @ V0f @ V1a ) ) @ V0f )
% 5.66/5.91 = V0f ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Eupdate_2EAPPLY__UPDATE__THM,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.91 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.91 => ! [V1a: $i] :
% 5.66/5.91 ( ( mem @ V1a @ A_27a )
% 5.66/5.91 => ! [V2b: $i] :
% 5.66/5.91 ( ( mem @ V2b @ A_27b )
% 5.66/5.91 => ! [V3c: $i] :
% 5.66/5.91 ( ( mem @ V3c @ A_27a )
% 5.66/5.91 => ( ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Ecombin_2EUPDATE @ A_27a @ A_27b ) @ V1a ) @ V2b ) @ V0f ) @ V3c )
% 5.66/5.91 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ A_27b ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V1a ) @ V3c ) ) @ V2b ) @ ( ap @ V0f @ V3c ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Eupdate_2ESAME__KEY__UPDATE__DIFFER,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0f: $i] :
% 5.66/5.91 ( ( mem @ V0f @ ( arr @ A_27c @ A_27d ) )
% 5.66/5.91 => ! [V1f1: $i] :
% 5.66/5.91 ( ( mem @ V1f1 @ A_27a )
% 5.66/5.91 => ! [V2f2: $i] :
% 5.66/5.91 ( ( mem @ V2f2 @ A_27b )
% 5.66/5.91 => ! [V3a: $i] :
% 5.66/5.91 ( ( mem @ V3a @ A_27c )
% 5.66/5.91 => ! [V4b: $i] :
% 5.66/5.91 ( ( mem @ V4b @ A_27d )
% 5.66/5.91 => ! [V5c: $i] :
% 5.66/5.91 ( ( mem @ V5c @ A_27d )
% 5.66/5.91 => ( ( V4b != V5c )
% 5.66/5.91 => ( ( ap @ ( ap @ ( ap @ ( c_2Ecombin_2EUPDATE @ A_27c @ A_27d ) @ V3a ) @ V4b ) @ V0f )
% 5.66/5.91 != ( ap @ ( ap @ ( ap @ ( c_2Ecombin_2EUPDATE @ A_27c @ A_27d ) @ V3a ) @ V5c ) @ V0f ) ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Eupdate_2EUPDATE__APPLY__ID,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.91 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.91 => ! [V1a: $i] :
% 5.66/5.91 ( ( mem @ V1a @ A_27a )
% 5.66/5.91 => ! [V2b: $i] :
% 5.66/5.91 ( ( mem @ V2b @ A_27b )
% 5.66/5.91 => ( ( ( ap @ V0f @ V1a )
% 5.66/5.91 = V2b )
% 5.66/5.91 <=> ( ( ap @ ( ap @ ( ap @ ( c_2Ecombin_2EUPDATE @ A_27a @ A_27b ) @ V1a ) @ V2b ) @ V0f )
% 5.66/5.91 = V0f ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Eupdate_2EUPDATE__APPLY__IMP__ID,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.91 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.91 => ! [V1b: $i] :
% 5.66/5.91 ( ( mem @ V1b @ A_27b )
% 5.66/5.91 => ! [V2a: $i] :
% 5.66/5.91 ( ( mem @ V2a @ A_27a )
% 5.66/5.91 => ( ( ( ap @ V0f @ V2a )
% 5.66/5.91 = V1b )
% 5.66/5.91 => ( ( ap @ ( ap @ ( ap @ ( c_2Ecombin_2EUPDATE @ A_27a @ A_27b ) @ V2a ) @ V1b ) @ V0f )
% 5.66/5.91 = V0f ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Eupdate_2EUPDATE__COMMUTES,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.91 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.91 => ! [V1a: $i] :
% 5.66/5.91 ( ( mem @ V1a @ A_27a )
% 5.66/5.91 => ! [V2b: $i] :
% 5.66/5.91 ( ( mem @ V2b @ A_27a )
% 5.66/5.91 => ! [V3c: $i] :
% 5.66/5.91 ( ( mem @ V3c @ A_27b )
% 5.66/5.91 => ! [V4d: $i] :
% 5.66/5.91 ( ( mem @ V4d @ A_27b )
% 5.66/5.91 => ( ( V1a != V2b )
% 5.66/5.91 => ( ( ap @ ( ap @ ( ap @ ( c_2Ecombin_2EUPDATE @ A_27a @ A_27b ) @ V1a ) @ V3c ) @ ( ap @ ( ap @ ( ap @ ( c_2Ecombin_2EUPDATE @ A_27a @ A_27b ) @ V2b ) @ V4d ) @ V0f ) )
% 5.66/5.91 = ( ap @ ( ap @ ( ap @ ( c_2Ecombin_2EUPDATE @ A_27a @ A_27b ) @ V2b ) @ V4d ) @ ( ap @ ( ap @ ( ap @ ( c_2Ecombin_2EUPDATE @ A_27a @ A_27b ) @ V1a ) @ V3c ) @ V0f ) ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Eupdate_2EUPDATE__EQ,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.91 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.91 => ! [V1a: $i] :
% 5.66/5.91 ( ( mem @ V1a @ A_27a )
% 5.66/5.91 => ! [V2b: $i] :
% 5.66/5.91 ( ( mem @ V2b @ A_27b )
% 5.66/5.91 => ! [V3c: $i] :
% 5.66/5.91 ( ( mem @ V3c @ A_27b )
% 5.66/5.91 => ( ( ap @ ( ap @ ( ap @ ( c_2Ecombin_2EUPDATE @ A_27a @ A_27b ) @ V1a ) @ V3c ) @ ( ap @ ( ap @ ( ap @ ( c_2Ecombin_2EUPDATE @ A_27a @ A_27b ) @ V1a ) @ V2b ) @ V0f ) )
% 5.66/5.91 = ( ap @ ( ap @ ( ap @ ( c_2Ecombin_2EUPDATE @ A_27a @ A_27b ) @ V1a ) @ V3c ) @ V0f ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Eupdate_2EUPDATE__def,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0a: $i] :
% 5.66/5.91 ( ( mem @ V0a @ A_27a )
% 5.66/5.91 => ! [V1b: $i] :
% 5.66/5.91 ( ( mem @ V1b @ A_27b )
% 5.66/5.91 => ( ( ap @ ( ap @ ( c_2Ecombin_2EUPDATE @ A_27a @ A_27b ) @ V0a ) @ V1b )
% 5.66/5.91 = ( lam @ ( arr @ A_27a @ A_27b )
% 5.66/5.91 @ ^ [V2f: $i] :
% 5.66/5.91 ( lam @ A_27a
% 5.66/5.91 @ ^ [V3c: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ A_27b ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V0a ) @ V3c ) ) @ V1b ) @ ( ap @ V2f @ V3c ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 %------------------------------------------------------------------------------
% 5.66/5.91 %------------------------------------------------------------------------------
% 5.66/5.91 thf(tp_c_2Edft_2EDFT,type,
% 5.66/5.91 c_2Edft_2EDFT: del > del > $i ).
% 5.66/5.91
% 5.66/5.91 thf(mem_c_2Edft_2EDFT,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Edft_2EDFT @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27b @ ( ty_2Elist_2Elist @ A_27b ) ) @ ( arr @ ( arr @ A_27b @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ ( ty_2Elist_2Elist @ A_27b ) @ ( arr @ ( ty_2Elist_2Elist @ A_27b ) @ ( arr @ A_27a @ A_27a ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(tp_c_2Edft_2ERel,type,
% 5.66/5.91 c_2Edft_2ERel: del > del > del > del > del > $i ).
% 5.66/5.91
% 5.66/5.91 thf(mem_c_2Edft_2ERel,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,A_27e: del] : ( mem @ ( c_2Edft_2ERel @ A_27a @ A_27b @ A_27c @ A_27d @ A_27e ) @ ( arr @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ ( ty_2Elist_2Elist @ A_27b ) ) @ ( ty_2Epair_2Eprod @ A_27c @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27d ) @ A_27e ) ) ) ) @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(ax_thm_2Edft_2ERel__def,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,A_27e: del,V0G: $i] :
% 5.66/5.91 ( ( mem @ V0G @ ( arr @ A_27a @ ( ty_2Elist_2Elist @ A_27b ) ) )
% 5.66/5.91 => ! [V1f: $i] :
% 5.66/5.91 ( ( mem @ V1f @ A_27c )
% 5.66/5.91 => ! [V2seen: $i] :
% 5.66/5.91 ( ( mem @ V2seen @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.91 => ! [V3to__visit: $i] :
% 5.66/5.91 ( ( mem @ V3to__visit @ ( ty_2Elist_2Elist @ A_27d ) )
% 5.66/5.91 => ! [V4acc: $i] :
% 5.66/5.91 ( ( mem @ V4acc @ A_27e )
% 5.66/5.91 => ( ( surj__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum @ ( ap @ ( c_2Edft_2ERel @ A_27a @ A_27b @ A_27c @ A_27d @ A_27e ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( arr @ A_27a @ ( ty_2Elist_2Elist @ A_27b ) ) @ ( ty_2Epair_2Eprod @ A_27c @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27d ) @ A_27e ) ) ) ) @ V0G ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27c @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27d ) @ A_27e ) ) ) @ V1f ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27d ) @ A_27e ) ) @ V2seen ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27d ) @ A_27e ) @ V3to__visit ) @ V4acc ) ) ) ) ) )
% 5.66/5.91 = ( surj__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDIFF @ A_27a ) @ ( ap @ ( c_2EdirGraph_2EParents @ A_27a @ A_27b ) @ V0G ) ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V2seen ) ) ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27d ) @ V3to__visit ) ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Edft_2EDFT__def,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0G: $i] :
% 5.66/5.91 ( ( mem @ V0G @ ( arr @ A_27a @ ( ty_2Elist_2Elist @ A_27a ) ) )
% 5.66/5.91 => ! [V1f: $i] :
% 5.66/5.91 ( ( mem @ V1f @ ( arr @ A_27a @ ( arr @ A_27b @ A_27b ) ) )
% 5.66/5.91 => ! [V2seen: $i] :
% 5.66/5.91 ( ( mem @ V2seen @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.91 => ! [V3acc: $i] :
% 5.66/5.91 ( ( mem @ V3acc @ A_27b )
% 5.66/5.91 => ! [V4visit__now: $i] :
% 5.66/5.91 ( ( mem @ V4visit__now @ A_27a )
% 5.66/5.91 => ! [V5visit__later: $i] :
% 5.66/5.91 ( ( mem @ V5visit__later @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.91 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ ( ap @ ( c_2EdirGraph_2EParents @ A_27a @ A_27a ) @ V0G ) ) )
% 5.66/5.91 => ( ( ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Edft_2EDFT @ A_27b @ A_27a ) @ V0G ) @ V1f ) @ V2seen ) @ ( c_2Elist_2ENIL @ A_27a ) ) @ V3acc )
% 5.66/5.91 = V3acc )
% 5.66/5.91 & ( ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Edft_2EDFT @ A_27b @ A_27a ) @ V0G ) @ V1f ) @ V2seen ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4visit__now ) @ V5visit__later ) ) @ V3acc )
% 5.66/5.91 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ A_27b ) @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V4visit__now ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V2seen ) ) ) @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Edft_2EDFT @ A_27b @ A_27a ) @ V0G ) @ V1f ) @ V2seen ) @ V5visit__later ) @ V3acc ) ) @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Edft_2EDFT @ A_27b @ A_27a ) @ V0G ) @ V1f ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4visit__now ) @ V2seen ) ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ ( ap @ V0G @ V4visit__now ) ) @ V5visit__later ) ) @ ( ap @ ( ap @ V1f @ V4visit__now ) @ V3acc ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Edft_2EDFT__ind,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.66/5.91 ( ( mem @ V0P @ ( arr @ ( arr @ A_27a @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27b @ A_27b ) ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ A_27b @ bool ) ) ) ) ) )
% 5.66/5.91 => ( ! [V1G: $i] :
% 5.66/5.91 ( ( mem @ V1G @ ( arr @ A_27a @ ( ty_2Elist_2Elist @ A_27a ) ) )
% 5.66/5.91 => ! [V2f: $i] :
% 5.66/5.91 ( ( mem @ V2f @ ( arr @ A_27a @ ( arr @ A_27b @ A_27b ) ) )
% 5.66/5.91 => ! [V3seen: $i] :
% 5.66/5.91 ( ( mem @ V3seen @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.91 => ! [V4visit__now: $i] :
% 5.66/5.91 ( ( mem @ V4visit__now @ A_27a )
% 5.66/5.91 => ! [V5visit__later: $i] :
% 5.66/5.91 ( ( mem @ V5visit__later @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.91 => ! [V6acc: $i] :
% 5.66/5.91 ( ( mem @ V6acc @ A_27b )
% 5.66/5.91 => ( ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ V0P @ V1G ) @ V2f ) @ V3seen ) @ ( c_2Elist_2ENIL @ A_27a ) ) @ V6acc ) )
% 5.66/5.91 & ( ( ( ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ ( ap @ ( c_2EdirGraph_2EParents @ A_27a @ A_27a ) @ V1G ) ) )
% 5.66/5.91 & ~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V4visit__now ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V3seen ) ) ) )
% 5.66/5.91 => ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ V0P @ V1G ) @ V2f ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4visit__now ) @ V3seen ) ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ ( ap @ V1G @ V4visit__now ) ) @ V5visit__later ) ) @ ( ap @ ( ap @ V2f @ V4visit__now ) @ V6acc ) ) ) )
% 5.66/5.91 & ( ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ ( ap @ ( c_2EdirGraph_2EParents @ A_27a @ A_27a ) @ V1G ) ) )
% 5.66/5.91 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V4visit__now ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V3seen ) ) ) )
% 5.66/5.91 => ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ V0P @ V1G ) @ V2f ) @ V3seen ) @ V5visit__later ) @ V6acc ) ) ) )
% 5.66/5.91 => ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ V0P @ V1G ) @ V2f ) @ V3seen ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4visit__now ) @ V5visit__later ) ) @ V6acc ) ) ) ) ) ) ) ) ) )
% 5.66/5.91 => ! [V7v: $i] :
% 5.66/5.91 ( ( mem @ V7v @ ( arr @ A_27a @ ( ty_2Elist_2Elist @ A_27a ) ) )
% 5.66/5.91 => ! [V8v1: $i] :
% 5.66/5.91 ( ( mem @ V8v1 @ ( arr @ A_27a @ ( arr @ A_27b @ A_27b ) ) )
% 5.66/5.91 => ! [V9v2: $i] :
% 5.66/5.91 ( ( mem @ V9v2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.91 => ! [V10v3: $i] :
% 5.66/5.91 ( ( mem @ V10v3 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.91 => ! [V11v4: $i] :
% 5.66/5.91 ( ( mem @ V11v4 @ A_27b )
% 5.66/5.91 => ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ V0P @ V7v ) @ V8v1 ) @ V9v2 ) @ V10v3 ) @ V11v4 ) ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Edft_2EDFT__CONS,axiom,
% 5.66/5.91 ! [A_27a: del,V0G: $i] :
% 5.66/5.91 ( ( mem @ V0G @ ( arr @ A_27a @ ( ty_2Elist_2Elist @ A_27a ) ) )
% 5.66/5.91 => ! [V1f: $i] :
% 5.66/5.91 ( ( mem @ V1f @ ( arr @ A_27a @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) ) )
% 5.66/5.91 => ! [V2seen: $i] :
% 5.66/5.91 ( ( mem @ V2seen @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.91 => ! [V3to__visit: $i] :
% 5.66/5.91 ( ( mem @ V3to__visit @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.91 => ! [V4acc: $i] :
% 5.66/5.91 ( ( mem @ V4acc @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.91 => ! [V5a: $i] :
% 5.66/5.91 ( ( mem @ V5a @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.91 => ! [V6b: $i] :
% 5.66/5.91 ( ( mem @ V6b @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.91 => ( ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ ( ap @ ( c_2EdirGraph_2EParents @ A_27a @ A_27a ) @ V0G ) ) )
% 5.66/5.91 & ( V1f
% 5.66/5.91 = ( c_2Elist_2ECONS @ A_27a ) )
% 5.66/5.91 & ( V4acc
% 5.66/5.91 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V5a ) @ V6b ) ) )
% 5.66/5.91 => ( ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Edft_2EDFT @ ( ty_2Elist_2Elist @ A_27a ) @ A_27a ) @ V0G ) @ V1f ) @ V2seen ) @ V3to__visit ) @ V4acc )
% 5.66/5.91 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Edft_2EDFT @ ( ty_2Elist_2Elist @ A_27a ) @ A_27a ) @ V0G ) @ V1f ) @ V2seen ) @ V3to__visit ) @ V5a ) ) @ V6b ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Edft_2EDFT__FOLD,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0G: $i] :
% 5.66/5.91 ( ( mem @ V0G @ ( arr @ A_27a @ ( ty_2Elist_2Elist @ A_27a ) ) )
% 5.66/5.91 => ! [V1f: $i] :
% 5.66/5.91 ( ( mem @ V1f @ ( arr @ A_27a @ ( arr @ A_27b @ A_27b ) ) )
% 5.66/5.91 => ! [V2seen: $i] :
% 5.66/5.91 ( ( mem @ V2seen @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.91 => ! [V3to__visit: $i] :
% 5.66/5.91 ( ( mem @ V3to__visit @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.91 => ! [V4acc: $i] :
% 5.66/5.91 ( ( mem @ V4acc @ A_27b )
% 5.66/5.91 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ ( ap @ ( c_2EdirGraph_2EParents @ A_27a @ A_27a ) @ V0G ) ) )
% 5.66/5.91 => ( ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Edft_2EDFT @ A_27b @ A_27a ) @ V0G ) @ V1f ) @ V2seen ) @ V3to__visit ) @ V4acc )
% 5.66/5.91 = ( ap @ ( ap @ ( ap @ ( c_2Elist_2EFOLDR @ A_27a @ A_27b ) @ V1f ) @ V4acc ) @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Edft_2EDFT @ ( ty_2Elist_2Elist @ A_27a ) @ A_27a ) @ V0G ) @ ( c_2Elist_2ECONS @ A_27a ) ) @ V2seen ) @ V3to__visit ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Edft_2EDFT__ALL__DISTINCT,axiom,
% 5.66/5.91 ! [A_27a: del,V0G: $i] :
% 5.66/5.91 ( ( mem @ V0G @ ( arr @ A_27a @ ( ty_2Elist_2Elist @ A_27a ) ) )
% 5.66/5.91 => ! [V1seen: $i] :
% 5.66/5.91 ( ( mem @ V1seen @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.91 => ! [V2to__visit: $i] :
% 5.66/5.91 ( ( mem @ V2to__visit @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.91 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ ( ap @ ( c_2EdirGraph_2EParents @ A_27a @ A_27a ) @ V0G ) ) )
% 5.66/5.91 => ( p @ ( ap @ ( c_2Elist_2EALL__DISTINCT @ A_27a ) @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Edft_2EDFT @ ( ty_2Elist_2Elist @ A_27a ) @ A_27a ) @ V0G ) @ ( c_2Elist_2ECONS @ A_27a ) ) @ V1seen ) @ V2to__visit ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Edft_2EDFT__REACH__1,axiom,
% 5.66/5.91 ! [A_27a: del,V0G: $i] :
% 5.66/5.91 ( ( mem @ V0G @ ( arr @ A_27a @ ( ty_2Elist_2Elist @ A_27a ) ) )
% 5.66/5.91 => ! [V1f: $i] :
% 5.66/5.91 ( ( mem @ V1f @ ( arr @ A_27a @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) ) )
% 5.66/5.91 => ! [V2seen: $i] :
% 5.66/5.91 ( ( mem @ V2seen @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.91 => ! [V3to__visit: $i] :
% 5.66/5.91 ( ( mem @ V3to__visit @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.91 => ! [V4acc: $i] :
% 5.66/5.91 ( ( mem @ V4acc @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.91 => ( ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ ( ap @ ( c_2EdirGraph_2EParents @ A_27a @ A_27a ) @ V0G ) ) )
% 5.66/5.91 & ( V1f
% 5.66/5.91 = ( c_2Elist_2ECONS @ A_27a ) ) )
% 5.66/5.91 => ! [V5x: $i] :
% 5.66/5.91 ( ( mem @ V5x @ A_27a )
% 5.66/5.91 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V5x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Edft_2EDFT @ ( ty_2Elist_2Elist @ A_27a ) @ A_27a ) @ V0G ) @ V1f ) @ V2seen ) @ V3to__visit ) @ V4acc ) ) ) )
% 5.66/5.91 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V5x ) @ ( ap @ ( ap @ ( c_2EdirGraph_2EREACH__LIST @ A_27a ) @ V0G ) @ V3to__visit ) ) )
% 5.66/5.91 | ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V5x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V4acc ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Edft_2EDFT__REACH__2,axiom,
% 5.66/5.91 ! [A_27a: del,V0G: $i] :
% 5.66/5.91 ( ( mem @ V0G @ ( arr @ A_27a @ ( ty_2Elist_2Elist @ A_27a ) ) )
% 5.66/5.91 => ! [V1f: $i] :
% 5.66/5.91 ( ( mem @ V1f @ ( arr @ A_27a @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) ) )
% 5.66/5.91 => ! [V2seen: $i] :
% 5.66/5.91 ( ( mem @ V2seen @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.91 => ! [V3to__visit: $i] :
% 5.66/5.91 ( ( mem @ V3to__visit @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.91 => ! [V4acc: $i] :
% 5.66/5.91 ( ( mem @ V4acc @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.91 => ! [V5x: $i] :
% 5.66/5.91 ( ( mem @ V5x @ A_27a )
% 5.66/5.91 => ( ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ ( ap @ ( c_2EdirGraph_2EParents @ A_27a @ A_27a ) @ V0G ) ) )
% 5.66/5.91 & ( V1f
% 5.66/5.91 = ( c_2Elist_2ECONS @ A_27a ) )
% 5.66/5.91 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V5x ) @ ( ap @ ( ap @ ( c_2EdirGraph_2EREACH__LIST @ A_27a ) @ ( ap @ ( ap @ ( c_2EdirGraph_2EEXCLUDE @ A_27a @ A_27a ) @ V0G ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V2seen ) ) ) @ V3to__visit ) ) )
% 5.66/5.91 & ~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V5x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V2seen ) ) ) )
% 5.66/5.91 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V5x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Edft_2EDFT @ ( ty_2Elist_2Elist @ A_27a ) @ A_27a ) @ V0G ) @ V1f ) @ V2seen ) @ V3to__visit ) @ V4acc ) ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2Edft_2EDFT__REACH__THM,axiom,
% 5.66/5.91 ! [A_27a: del,V0G: $i] :
% 5.66/5.91 ( ( mem @ V0G @ ( arr @ A_27a @ ( ty_2Elist_2Elist @ A_27a ) ) )
% 5.66/5.91 => ! [V1to__visit: $i] :
% 5.66/5.91 ( ( mem @ V1to__visit @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.91 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ ( ap @ ( c_2EdirGraph_2EParents @ A_27a @ A_27a ) @ V0G ) ) )
% 5.66/5.91 => ! [V2x: $i] :
% 5.66/5.91 ( ( mem @ V2x @ A_27a )
% 5.66/5.91 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ ( ap @ ( ap @ ( c_2EdirGraph_2EREACH__LIST @ A_27a ) @ V0G ) @ V1to__visit ) ) )
% 5.66/5.91 <=> ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Edft_2EDFT @ ( ty_2Elist_2Elist @ A_27a ) @ A_27a ) @ V0G ) @ ( c_2Elist_2ECONS @ A_27a ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) @ V1to__visit ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 %------------------------------------------------------------------------------
% 5.66/5.91 %------------------------------------------------------------------------------
% 5.66/5.91 thf(tp_c_2EDecode_2Edec2enc,type,
% 5.66/5.91 c_2EDecode_2Edec2enc: del > $i ).
% 5.66/5.91
% 5.66/5.91 thf(mem_c_2EDecode_2Edec2enc,axiom,
% 5.66/5.91 ! [A_27a: del] : ( mem @ ( c_2EDecode_2Edec2enc @ A_27a ) @ ( arr @ ( arr @ ( ty_2Elist_2Elist @ bool ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) ) ) @ ( arr @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(stp_c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Elist_2Elist_o,type,
% 5.66/5.91 tp__c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Elist_2Elist_o: $tType ).
% 5.66/5.91
% 5.66/5.91 thf(stp_inj_c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Elist_2Elist_o,type,
% 5.66/5.91 inj__c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Elist_2Elist_o: tp__c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Elist_2Elist_o > $i ).
% 5.66/5.91
% 5.66/5.91 thf(stp_surj_c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Elist_2Elist_o,type,
% 5.66/5.91 surj__c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Elist_2Elist_o: $i > tp__c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Elist_2Elist_o ).
% 5.66/5.91
% 5.66/5.91 thf(stp_inj_surj_c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Elist_2Elist_o,axiom,
% 5.66/5.91 ! [X: tp__c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Elist_2Elist_o] :
% 5.66/5.91 ( ( surj__c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Elist_2Elist_o @ ( inj__c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Elist_2Elist_o @ X ) )
% 5.66/5.91 = X ) ).
% 5.66/5.91
% 5.66/5.91 thf(stp_inj_mem_c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Elist_2Elist_o,axiom,
% 5.66/5.91 ! [X: tp__c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Elist_2Elist_o] : ( mem @ ( inj__c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Elist_2Elist_o @ X ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(stp_iso_mem_c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Elist_2Elist_o,axiom,
% 5.66/5.91 ! [X: $i] :
% 5.66/5.91 ( ( mem @ X @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) ) )
% 5.66/5.91 => ( X
% 5.66/5.91 = ( inj__c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Elist_2Elist_o @ ( surj__c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Elist_2Elist_o @ X ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(stp_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Elist_2Elist_o,type,
% 5.66/5.91 tp__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Elist_2Elist_o: $tType ).
% 5.66/5.91
% 5.66/5.91 thf(stp_inj_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Elist_2Elist_o,type,
% 5.66/5.91 inj__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Elist_2Elist_o: tp__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Elist_2Elist_o > $i ).
% 5.66/5.91
% 5.66/5.91 thf(stp_surj_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Elist_2Elist_o,type,
% 5.66/5.91 surj__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Elist_2Elist_o: $i > tp__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Elist_2Elist_o ).
% 5.66/5.91
% 5.66/5.91 thf(stp_inj_surj_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Elist_2Elist_o,axiom,
% 5.66/5.91 ! [X: tp__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Elist_2Elist_o] :
% 5.66/5.91 ( ( surj__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Elist_2Elist_o @ ( inj__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Elist_2Elist_o @ X ) )
% 5.66/5.91 = X ) ).
% 5.66/5.91
% 5.66/5.91 thf(stp_inj_mem_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Elist_2Elist_o,axiom,
% 5.66/5.91 ! [X: tp__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Elist_2Elist_o] : ( mem @ ( inj__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Elist_2Elist_o @ X ) @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(stp_iso_mem_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Elist_2Elist_o,axiom,
% 5.66/5.91 ! [X: $i] :
% 5.66/5.91 ( ( mem @ X @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) )
% 5.66/5.91 => ( X
% 5.66/5.91 = ( inj__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Elist_2Elist_o @ ( surj__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Elist_2Elist_o @ X ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(tp_c_2EDecode_2Edec__bnum,type,
% 5.66/5.91 c_2EDecode_2Edec__bnum: $i ).
% 5.66/5.91
% 5.66/5.91 thf(mem_c_2EDecode_2Edec__bnum,axiom,
% 5.66/5.91 mem @ c_2EDecode_2Edec__bnum @ ( arr @ ty_2Enum_2Enum @ ( arr @ ( ty_2Elist_2Elist @ bool ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(tp_c_2EDecode_2Edecode__blist,type,
% 5.66/5.91 c_2EDecode_2Edecode__blist: del > $i ).
% 5.66/5.91
% 5.66/5.91 thf(mem_c_2EDecode_2Edecode__blist,axiom,
% 5.66/5.91 ! [A_27a: del] : ( mem @ ( c_2EDecode_2Edecode__blist @ A_27a ) @ ( arr @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ bool ) @ ( arr @ ty_2Enum_2Enum @ ( arr @ ( arr @ ( ty_2Elist_2Elist @ bool ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) ) ) @ ( arr @ ( ty_2Elist_2Elist @ bool ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ bool ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(tp_c_2EDecode_2Edecode__bnum,type,
% 5.66/5.91 c_2EDecode_2Edecode__bnum: $i ).
% 5.66/5.91
% 5.66/5.91 thf(mem_c_2EDecode_2Edecode__bnum,axiom,
% 5.66/5.91 mem @ c_2EDecode_2Edecode__bnum @ ( arr @ ty_2Enum_2Enum @ ( arr @ ( arr @ ty_2Enum_2Enum @ bool ) @ ( arr @ ( ty_2Elist_2Elist @ bool ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(stp_c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_o_c_ty_2Elist_2Elist_o,type,
% 5.66/5.91 tp__c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_o_c_ty_2Elist_2Elist_o: $tType ).
% 5.66/5.91
% 5.66/5.91 thf(stp_inj_c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_o_c_ty_2Elist_2Elist_o,type,
% 5.66/5.91 inj__c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_o_c_ty_2Elist_2Elist_o: tp__c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_o_c_ty_2Elist_2Elist_o > $i ).
% 5.66/5.91
% 5.66/5.91 thf(stp_surj_c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_o_c_ty_2Elist_2Elist_o,type,
% 5.66/5.91 surj__c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_o_c_ty_2Elist_2Elist_o: $i > tp__c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_o_c_ty_2Elist_2Elist_o ).
% 5.66/5.91
% 5.66/5.91 thf(stp_inj_surj_c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_o_c_ty_2Elist_2Elist_o,axiom,
% 5.66/5.91 ! [X: tp__c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_o_c_ty_2Elist_2Elist_o] :
% 5.66/5.91 ( ( surj__c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_o_c_ty_2Elist_2Elist_o @ ( inj__c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_o_c_ty_2Elist_2Elist_o @ X ) )
% 5.66/5.91 = X ) ).
% 5.66/5.91
% 5.66/5.91 thf(stp_inj_mem_c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_o_c_ty_2Elist_2Elist_o,axiom,
% 5.66/5.91 ! [X: tp__c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_o_c_ty_2Elist_2Elist_o] : ( mem @ ( inj__c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_o_c_ty_2Elist_2Elist_o @ X ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ bool @ ( ty_2Elist_2Elist @ bool ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(stp_iso_mem_c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_o_c_ty_2Elist_2Elist_o,axiom,
% 5.66/5.91 ! [X: $i] :
% 5.66/5.91 ( ( mem @ X @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ bool @ ( ty_2Elist_2Elist @ bool ) ) ) )
% 5.66/5.91 => ( X
% 5.66/5.91 = ( inj__c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_o_c_ty_2Elist_2Elist_o @ ( surj__c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_o_c_ty_2Elist_2Elist_o @ X ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(tp_c_2EDecode_2Edecode__bool,type,
% 5.66/5.91 c_2EDecode_2Edecode__bool: $i ).
% 5.66/5.91
% 5.66/5.91 thf(mem_c_2EDecode_2Edecode__bool,axiom,
% 5.66/5.91 mem @ c_2EDecode_2Edecode__bool @ ( arr @ ( arr @ bool @ bool ) @ ( arr @ ( ty_2Elist_2Elist @ bool ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ bool @ ( ty_2Elist_2Elist @ bool ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(tp_c_2EDecode_2Edecode__list,type,
% 5.66/5.91 c_2EDecode_2Edecode__list: del > $i ).
% 5.66/5.91
% 5.66/5.91 thf(mem_c_2EDecode_2Edecode__list,axiom,
% 5.66/5.91 ! [A_27a: del] : ( mem @ ( c_2EDecode_2Edecode__list @ A_27a ) @ ( arr @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ bool ) @ ( arr @ ( arr @ ( ty_2Elist_2Elist @ bool ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) ) ) @ ( arr @ ( ty_2Elist_2Elist @ bool ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ bool ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(tp_c_2EDecode_2Edecode__num,type,
% 5.66/5.91 c_2EDecode_2Edecode__num: $i ).
% 5.66/5.91
% 5.66/5.91 thf(mem_c_2EDecode_2Edecode__num,axiom,
% 5.66/5.91 mem @ c_2EDecode_2Edecode__num @ ( arr @ ( arr @ ty_2Enum_2Enum @ bool ) @ ( arr @ ( ty_2Elist_2Elist @ bool ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(tp_c_2EDecode_2Edecode__option,type,
% 5.66/5.91 c_2EDecode_2Edecode__option: del > $i ).
% 5.66/5.91
% 5.66/5.91 thf(mem_c_2EDecode_2Edecode__option,axiom,
% 5.66/5.91 ! [A_27a: del] : ( mem @ ( c_2EDecode_2Edecode__option @ A_27a ) @ ( arr @ ( arr @ ( ty_2Eoption_2Eoption @ A_27a ) @ bool ) @ ( arr @ ( arr @ ( ty_2Elist_2Elist @ bool ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) ) ) @ ( arr @ ( ty_2Elist_2Elist @ bool ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ( ty_2Eoption_2Eoption @ A_27a ) @ ( ty_2Elist_2Elist @ bool ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(tp_c_2EDecode_2Edecode__prod,type,
% 5.66/5.91 c_2EDecode_2Edecode__prod: del > del > $i ).
% 5.66/5.91
% 5.66/5.91 thf(mem_c_2EDecode_2Edecode__prod,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2EDecode_2Edecode__prod @ A_27a @ A_27b ) @ ( arr @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ bool ) @ ( arr @ ( arr @ ( ty_2Elist_2Elist @ bool ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) ) ) @ ( arr @ ( arr @ ( ty_2Elist_2Elist @ bool ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27b @ ( ty_2Elist_2Elist @ bool ) ) ) ) @ ( arr @ ( ty_2Elist_2Elist @ bool ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ ( ty_2Elist_2Elist @ bool ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(tp_c_2EDecode_2Edecode__sum,type,
% 5.66/5.91 c_2EDecode_2Edecode__sum: del > del > $i ).
% 5.66/5.91
% 5.66/5.91 thf(mem_c_2EDecode_2Edecode__sum,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2EDecode_2Edecode__sum @ A_27a @ A_27b ) @ ( arr @ ( arr @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) @ bool ) @ ( arr @ ( arr @ ( ty_2Elist_2Elist @ bool ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) ) ) @ ( arr @ ( arr @ ( ty_2Elist_2Elist @ bool ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27b @ ( ty_2Elist_2Elist @ bool ) ) ) ) @ ( arr @ ( ty_2Elist_2Elist @ bool ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) @ ( ty_2Elist_2Elist @ bool ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(tp_c_2EDecode_2Edecode__tree,type,
% 5.66/5.91 c_2EDecode_2Edecode__tree: del > $i ).
% 5.66/5.91
% 5.66/5.91 thf(mem_c_2EDecode_2Edecode__tree,axiom,
% 5.66/5.91 ! [A_27a: del] : ( mem @ ( c_2EDecode_2Edecode__tree @ A_27a ) @ ( arr @ ( arr @ ( ty_2EEncode_2Etree @ A_27a ) @ bool ) @ ( arr @ ( arr @ ( ty_2Elist_2Elist @ bool ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) ) ) @ ( arr @ ( ty_2Elist_2Elist @ bool ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ( ty_2EEncode_2Etree @ A_27a ) @ ( ty_2Elist_2Elist @ bool ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(stp_c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_ty_2Eone_2Eone_c_ty_2Elist_2Elist_o,type,
% 5.66/5.91 tp__c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_ty_2Eone_2Eone_c_ty_2Elist_2Elist_o: $tType ).
% 5.66/5.91
% 5.66/5.91 thf(stp_inj_c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_ty_2Eone_2Eone_c_ty_2Elist_2Elist_o,type,
% 5.66/5.91 inj__c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_ty_2Eone_2Eone_c_ty_2Elist_2Elist_o: tp__c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_ty_2Eone_2Eone_c_ty_2Elist_2Elist_o > $i ).
% 5.66/5.91
% 5.66/5.91 thf(stp_surj_c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_ty_2Eone_2Eone_c_ty_2Elist_2Elist_o,type,
% 5.66/5.91 surj__c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_ty_2Eone_2Eone_c_ty_2Elist_2Elist_o: $i > tp__c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_ty_2Eone_2Eone_c_ty_2Elist_2Elist_o ).
% 5.66/5.91
% 5.66/5.91 thf(stp_inj_surj_c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_ty_2Eone_2Eone_c_ty_2Elist_2Elist_o,axiom,
% 5.66/5.91 ! [X: tp__c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_ty_2Eone_2Eone_c_ty_2Elist_2Elist_o] :
% 5.66/5.91 ( ( surj__c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_ty_2Eone_2Eone_c_ty_2Elist_2Elist_o @ ( inj__c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_ty_2Eone_2Eone_c_ty_2Elist_2Elist_o @ X ) )
% 5.66/5.91 = X ) ).
% 5.66/5.91
% 5.66/5.91 thf(stp_inj_mem_c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_ty_2Eone_2Eone_c_ty_2Elist_2Elist_o,axiom,
% 5.66/5.91 ! [X: tp__c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_ty_2Eone_2Eone_c_ty_2Elist_2Elist_o] : ( mem @ ( inj__c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_ty_2Eone_2Eone_c_ty_2Elist_2Elist_o @ X ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ ( ty_2Elist_2Elist @ bool ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(stp_iso_mem_c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_ty_2Eone_2Eone_c_ty_2Elist_2Elist_o,axiom,
% 5.66/5.91 ! [X: $i] :
% 5.66/5.91 ( ( mem @ X @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ ( ty_2Elist_2Elist @ bool ) ) ) )
% 5.66/5.91 => ( X
% 5.66/5.91 = ( inj__c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_ty_2Eone_2Eone_c_ty_2Elist_2Elist_o @ ( surj__c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_ty_2Eone_2Eone_c_ty_2Elist_2Elist_o @ X ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(stp_c_ty_2Epair_2Eprod_ty_2Eone_2Eone_c_ty_2Elist_2Elist_o,type,
% 5.66/5.91 tp__c_ty_2Epair_2Eprod_ty_2Eone_2Eone_c_ty_2Elist_2Elist_o: $tType ).
% 5.66/5.91
% 5.66/5.91 thf(stp_inj_c_ty_2Epair_2Eprod_ty_2Eone_2Eone_c_ty_2Elist_2Elist_o,type,
% 5.66/5.91 inj__c_ty_2Epair_2Eprod_ty_2Eone_2Eone_c_ty_2Elist_2Elist_o: tp__c_ty_2Epair_2Eprod_ty_2Eone_2Eone_c_ty_2Elist_2Elist_o > $i ).
% 5.66/5.91
% 5.66/5.91 thf(stp_surj_c_ty_2Epair_2Eprod_ty_2Eone_2Eone_c_ty_2Elist_2Elist_o,type,
% 5.66/5.91 surj__c_ty_2Epair_2Eprod_ty_2Eone_2Eone_c_ty_2Elist_2Elist_o: $i > tp__c_ty_2Epair_2Eprod_ty_2Eone_2Eone_c_ty_2Elist_2Elist_o ).
% 5.66/5.91
% 5.66/5.91 thf(stp_inj_surj_c_ty_2Epair_2Eprod_ty_2Eone_2Eone_c_ty_2Elist_2Elist_o,axiom,
% 5.66/5.91 ! [X: tp__c_ty_2Epair_2Eprod_ty_2Eone_2Eone_c_ty_2Elist_2Elist_o] :
% 5.66/5.91 ( ( surj__c_ty_2Epair_2Eprod_ty_2Eone_2Eone_c_ty_2Elist_2Elist_o @ ( inj__c_ty_2Epair_2Eprod_ty_2Eone_2Eone_c_ty_2Elist_2Elist_o @ X ) )
% 5.66/5.91 = X ) ).
% 5.66/5.91
% 5.66/5.91 thf(stp_inj_mem_c_ty_2Epair_2Eprod_ty_2Eone_2Eone_c_ty_2Elist_2Elist_o,axiom,
% 5.66/5.91 ! [X: tp__c_ty_2Epair_2Eprod_ty_2Eone_2Eone_c_ty_2Elist_2Elist_o] : ( mem @ ( inj__c_ty_2Epair_2Eprod_ty_2Eone_2Eone_c_ty_2Elist_2Elist_o @ X ) @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ ( ty_2Elist_2Elist @ bool ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(stp_iso_mem_c_ty_2Epair_2Eprod_ty_2Eone_2Eone_c_ty_2Elist_2Elist_o,axiom,
% 5.66/5.91 ! [X: $i] :
% 5.66/5.91 ( ( mem @ X @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ ( ty_2Elist_2Elist @ bool ) ) )
% 5.66/5.91 => ( X
% 5.66/5.91 = ( inj__c_ty_2Epair_2Eprod_ty_2Eone_2Eone_c_ty_2Elist_2Elist_o @ ( surj__c_ty_2Epair_2Eprod_ty_2Eone_2Eone_c_ty_2Elist_2Elist_o @ X ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(tp_c_2EDecode_2Edecode__unit,type,
% 5.66/5.91 c_2EDecode_2Edecode__unit: $i ).
% 5.66/5.91
% 5.66/5.91 thf(mem_c_2EDecode_2Edecode__unit,axiom,
% 5.66/5.91 mem @ c_2EDecode_2Edecode__unit @ ( arr @ ( arr @ ty_2Eone_2Eone @ bool ) @ ( arr @ ( ty_2Elist_2Elist @ bool ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ ( ty_2Elist_2Elist @ bool ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(tp_c_2EDecode_2Eenc2dec,type,
% 5.66/5.91 c_2EDecode_2Eenc2dec: del > $i ).
% 5.66/5.91
% 5.66/5.91 thf(mem_c_2EDecode_2Eenc2dec,axiom,
% 5.66/5.91 ! [A_27a: del] : ( mem @ ( c_2EDecode_2Eenc2dec @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( arr @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) @ ( arr @ ( ty_2Elist_2Elist @ bool ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(tp_c_2EDecode_2Ewf__decoder,type,
% 5.66/5.91 c_2EDecode_2Ewf__decoder: del > $i ).
% 5.66/5.91
% 5.66/5.91 thf(mem_c_2EDecode_2Ewf__decoder,axiom,
% 5.66/5.91 ! [A_27a: del] : ( mem @ ( c_2EDecode_2Ewf__decoder @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( arr @ ( ty_2Elist_2Elist @ bool ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) ) ) @ bool ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(ax_thm_2EDecode_2Ewf__decoder__def,axiom,
% 5.66/5.91 ! [A_27a: del,V0p: $i] :
% 5.66/5.91 ( ( mem @ V0p @ ( arr @ A_27a @ bool ) )
% 5.66/5.91 => ! [V1d: $i] :
% 5.66/5.91 ( ( mem @ V1d @ ( arr @ ( ty_2Elist_2Elist @ bool ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) ) ) )
% 5.66/5.91 => ( ( p @ ( ap @ ( ap @ ( c_2EDecode_2Ewf__decoder @ A_27a ) @ V0p ) @ V1d ) )
% 5.66/5.91 <=> ! [V2x: $i] :
% 5.66/5.91 ( ( mem @ V2x @ A_27a )
% 5.66/5.91 => ( p
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ bool ) @ ( ap @ V0p @ V2x ) )
% 5.66/5.91 @ ( ap @ ( c_2Ebool_2E_3F @ ( ty_2Elist_2Elist @ bool ) )
% 5.66/5.91 @ ( lam @ ( ty_2Elist_2Elist @ bool )
% 5.66/5.91 @ ^ [V3a: $i] :
% 5.66/5.91 ( ap @ ( c_2Ebool_2E_21 @ ( ty_2Elist_2Elist @ bool ) )
% 5.66/5.91 @ ( lam @ ( ty_2Elist_2Elist @ bool )
% 5.66/5.91 @ ^ [V4b: $i] :
% 5.66/5.91 ( ap @ ( c_2Ebool_2E_21 @ ( ty_2Elist_2Elist @ bool ) )
% 5.66/5.91 @ ( lam @ ( ty_2Elist_2Elist @ bool )
% 5.66/5.91 @ ^ [V5c: $i] : ( ap @ ( ap @ ( c_2Emin_2E_3D @ bool ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) ) ) @ ( ap @ V1d @ V4b ) ) @ ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) @ V2x ) @ V5c ) ) ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Elist_2Elist @ bool ) ) @ V4b ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ bool ) @ V3a ) @ V5c ) ) ) ) ) ) ) ) ) )
% 5.66/5.91 @ ( ap @ ( c_2Ebool_2E_21 @ ( ty_2Elist_2Elist @ bool ) )
% 5.66/5.91 @ ( lam @ ( ty_2Elist_2Elist @ bool )
% 5.66/5.91 @ ^ [V6a: $i] :
% 5.66/5.91 ( ap @ ( c_2Ebool_2E_21 @ ( ty_2Elist_2Elist @ bool ) )
% 5.66/5.91 @ ( lam @ ( ty_2Elist_2Elist @ bool )
% 5.66/5.91 @ ^ [V7b: $i] : ( ap @ c_2Ebool_2E_7E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) ) ) @ ( ap @ V1d @ V6a ) ) @ ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) @ V2x ) @ V7b ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(ax_thm_2EDecode_2Eenc2dec__def,axiom,
% 5.66/5.91 ! [A_27a: del,V0p: $i] :
% 5.66/5.91 ( ( mem @ V0p @ ( arr @ A_27a @ bool ) )
% 5.66/5.91 => ! [V1e: $i] :
% 5.66/5.91 ( ( mem @ V1e @ ( arr @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) )
% 5.66/5.91 => ! [V2l: tp__c_ty_2Elist_2Elist_o] :
% 5.66/5.91 ( ( ap @ ( ap @ ( ap @ ( c_2EDecode_2Eenc2dec @ A_27a ) @ V0p ) @ V1e ) @ ( inj__c_ty_2Elist_2Elist_o @ V2l ) )
% 5.66/5.91 = ( ap
% 5.66/5.91 @ ( ap
% 5.66/5.91 @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) ) )
% 5.66/5.91 @ ( ap @ ( c_2Ebool_2E_3F @ A_27a )
% 5.66/5.91 @ ( lam @ A_27a
% 5.66/5.91 @ ^ [V3x: $i] :
% 5.66/5.91 ( ap @ ( c_2Ebool_2E_3F @ ( ty_2Elist_2Elist @ bool ) )
% 5.66/5.91 @ ( lam @ ( ty_2Elist_2Elist @ bool )
% 5.66/5.91 @ ^ [V4t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0p @ V3x ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Elist_2Elist @ bool ) ) @ ( inj__c_ty_2Elist_2Elist_o @ V2l ) ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ bool ) @ ( ap @ V1e @ V3x ) ) @ V4t ) ) ) ) ) ) ) )
% 5.66/5.91 @ ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) )
% 5.66/5.91 @ ( ap @ ( c_2Emin_2E_40 @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) )
% 5.66/5.91 @ ( ap @ ( c_2Epair_2EUNCURRY @ A_27a @ ( ty_2Elist_2Elist @ bool ) @ bool )
% 5.66/5.91 @ ( lam @ A_27a
% 5.66/5.91 @ ^ [V5x: $i] :
% 5.66/5.91 ( lam @ ( ty_2Elist_2Elist @ bool )
% 5.66/5.91 @ ^ [V6t: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ V0p @ V5x ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Elist_2Elist @ bool ) ) @ ( inj__c_ty_2Elist_2Elist_o @ V2l ) ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ bool ) @ ( ap @ V1e @ V5x ) ) @ V6t ) ) ) ) ) ) ) ) )
% 5.66/5.91 @ ( c_2Eoption_2ENONE @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(ax_thm_2EDecode_2Edec2enc__def,axiom,
% 5.66/5.91 ! [A_27a: del,V0d: $i] :
% 5.66/5.91 ( ( mem @ V0d @ ( arr @ ( ty_2Elist_2Elist @ bool ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) ) ) )
% 5.66/5.91 => ! [V1x: $i] :
% 5.66/5.91 ( ( mem @ V1x @ A_27a )
% 5.66/5.91 => ( ( surj__c_ty_2Elist_2Elist_o @ ( ap @ ( ap @ ( c_2EDecode_2Edec2enc @ A_27a ) @ V0d ) @ V1x ) )
% 5.66/5.91 = ( surj__c_ty_2Elist_2Elist_o
% 5.66/5.91 @ ( ap @ ( c_2Emin_2E_40 @ ( ty_2Elist_2Elist @ bool ) )
% 5.66/5.91 @ ( lam @ ( ty_2Elist_2Elist @ bool )
% 5.66/5.91 @ ^ [V2l: $i] : ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) ) ) @ ( ap @ V0d @ V2l ) ) @ ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) @ V1x ) @ ( c_2Elist_2ENIL @ bool ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2EDecode_2Eenc2dec__none,axiom,
% 5.66/5.91 ! [A_27a: del,V0p: $i] :
% 5.66/5.91 ( ( mem @ V0p @ ( arr @ A_27a @ bool ) )
% 5.66/5.91 => ! [V1e: $i] :
% 5.66/5.91 ( ( mem @ V1e @ ( arr @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) )
% 5.66/5.91 => ! [V2l: tp__c_ty_2Elist_2Elist_o] :
% 5.66/5.91 ( ( ( ap @ ( ap @ ( ap @ ( c_2EDecode_2Eenc2dec @ A_27a ) @ V0p ) @ V1e ) @ ( inj__c_ty_2Elist_2Elist_o @ V2l ) )
% 5.66/5.91 = ( c_2Eoption_2ENONE @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) ) )
% 5.66/5.91 <=> ! [V3x: $i] :
% 5.66/5.91 ( ( mem @ V3x @ A_27a )
% 5.66/5.91 => ! [V4t: tp__c_ty_2Elist_2Elist_o] :
% 5.66/5.91 ( ( p @ ( ap @ V0p @ V3x ) )
% 5.66/5.91 => ( V2l
% 5.66/5.91 != ( surj__c_ty_2Elist_2Elist_o @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ bool ) @ ( ap @ V1e @ V3x ) ) @ ( inj__c_ty_2Elist_2Elist_o @ V4t ) ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2EDecode_2Eenc2dec__some,axiom,
% 5.66/5.91 ! [A_27a: del,V0p: $i] :
% 5.66/5.91 ( ( mem @ V0p @ ( arr @ A_27a @ bool ) )
% 5.66/5.91 => ! [V1e: $i] :
% 5.66/5.91 ( ( mem @ V1e @ ( arr @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) )
% 5.66/5.91 => ! [V2l: tp__c_ty_2Elist_2Elist_o,V3x: $i] :
% 5.66/5.91 ( ( mem @ V3x @ A_27a )
% 5.66/5.91 => ! [V4t: tp__c_ty_2Elist_2Elist_o] :
% 5.66/5.91 ( ( p @ ( ap @ ( ap @ ( c_2EEncode_2Ewf__encoder @ A_27a ) @ V0p ) @ V1e ) )
% 5.66/5.91 => ( ( ( ap @ ( ap @ ( ap @ ( c_2EDecode_2Eenc2dec @ A_27a ) @ V0p ) @ V1e ) @ ( inj__c_ty_2Elist_2Elist_o @ V2l ) )
% 5.66/5.91 = ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) @ V3x ) @ ( inj__c_ty_2Elist_2Elist_o @ V4t ) ) ) )
% 5.66/5.91 <=> ( ( p @ ( ap @ V0p @ V3x ) )
% 5.66/5.91 & ( V2l
% 5.66/5.91 = ( surj__c_ty_2Elist_2Elist_o @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ bool ) @ ( ap @ V1e @ V3x ) ) @ ( inj__c_ty_2Elist_2Elist_o @ V4t ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2EDecode_2Eenc2dec__some__alt,axiom,
% 5.66/5.91 ! [A_27a: del,V0p: $i] :
% 5.66/5.91 ( ( mem @ V0p @ ( arr @ A_27a @ bool ) )
% 5.66/5.91 => ! [V1e: $i] :
% 5.66/5.91 ( ( mem @ V1e @ ( arr @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) )
% 5.66/5.91 => ! [V2l: tp__c_ty_2Elist_2Elist_o,V3x: $i] :
% 5.66/5.91 ( ( mem @ V3x @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) )
% 5.66/5.91 => ( ( p @ ( ap @ ( ap @ ( c_2EEncode_2Ewf__encoder @ A_27a ) @ V0p ) @ V1e ) )
% 5.66/5.91 => ( ( ( ap @ ( ap @ ( ap @ ( c_2EDecode_2Eenc2dec @ A_27a ) @ V0p ) @ V1e ) @ ( inj__c_ty_2Elist_2Elist_o @ V2l ) )
% 5.66/5.91 = ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) ) @ V3x ) )
% 5.66/5.91 <=> ( ( p @ ( ap @ V0p @ ( ap @ ( c_2Epair_2EFST @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) @ V3x ) ) )
% 5.66/5.91 & ( V2l
% 5.66/5.91 = ( surj__c_ty_2Elist_2Elist_o @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ bool ) @ ( ap @ V1e @ ( ap @ ( c_2Epair_2EFST @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) @ V3x ) ) ) @ ( ap @ ( c_2Epair_2ESND @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) @ V3x ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2EDecode_2Ewf__enc2dec,axiom,
% 5.66/5.91 ! [A_27a: del,V0p: $i] :
% 5.66/5.91 ( ( mem @ V0p @ ( arr @ A_27a @ bool ) )
% 5.66/5.91 => ! [V1e: $i] :
% 5.66/5.91 ( ( mem @ V1e @ ( arr @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) )
% 5.66/5.91 => ( ( p @ ( ap @ ( ap @ ( c_2EEncode_2Ewf__encoder @ A_27a ) @ V0p ) @ V1e ) )
% 5.66/5.91 => ( p @ ( ap @ ( ap @ ( c_2EDecode_2Ewf__decoder @ A_27a ) @ V0p ) @ ( ap @ ( ap @ ( c_2EDecode_2Eenc2dec @ A_27a ) @ V0p ) @ V1e ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2EDecode_2Edec2enc__some,axiom,
% 5.66/5.91 ! [A_27a: del,V0p: $i] :
% 5.66/5.91 ( ( mem @ V0p @ ( arr @ A_27a @ bool ) )
% 5.66/5.91 => ! [V1d: $i] :
% 5.66/5.91 ( ( mem @ V1d @ ( arr @ ( ty_2Elist_2Elist @ bool ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) ) ) )
% 5.66/5.91 => ! [V2x: $i] :
% 5.66/5.91 ( ( mem @ V2x @ A_27a )
% 5.66/5.91 => ! [V3l: tp__c_ty_2Elist_2Elist_o] :
% 5.66/5.91 ( ( p @ ( ap @ ( ap @ ( c_2EDecode_2Ewf__decoder @ A_27a ) @ V0p ) @ V1d ) )
% 5.66/5.91 => ( ( ( ( surj__c_ty_2Elist_2Elist_o @ ( ap @ ( ap @ ( c_2EDecode_2Edec2enc @ A_27a ) @ V1d ) @ V2x ) )
% 5.66/5.91 = V3l )
% 5.66/5.91 & ( p @ ( ap @ V0p @ V2x ) ) )
% 5.66/5.91 <=> ( ( ap @ V1d @ ( inj__c_ty_2Elist_2Elist_o @ V3l ) )
% 5.66/5.91 = ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) @ V2x ) @ ( c_2Elist_2ENIL @ bool ) ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2EDecode_2Edecode__dec2enc,axiom,
% 5.66/5.91 ! [A_27a: del,V0p: $i] :
% 5.66/5.91 ( ( mem @ V0p @ ( arr @ A_27a @ bool ) )
% 5.66/5.91 => ! [V1d: $i] :
% 5.66/5.91 ( ( mem @ V1d @ ( arr @ ( ty_2Elist_2Elist @ bool ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) ) ) )
% 5.66/5.91 => ! [V2x: $i] :
% 5.66/5.91 ( ( mem @ V2x @ A_27a )
% 5.66/5.91 => ( ( ( p @ ( ap @ ( ap @ ( c_2EDecode_2Ewf__decoder @ A_27a ) @ V0p ) @ V1d ) )
% 5.66/5.91 & ( p @ ( ap @ V0p @ V2x ) ) )
% 5.66/5.91 => ( ( ap @ V1d @ ( ap @ ( ap @ ( c_2EDecode_2Edec2enc @ A_27a ) @ V1d ) @ V2x ) )
% 5.66/5.91 = ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) @ V2x ) @ ( c_2Elist_2ENIL @ bool ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2EDecode_2Edecode__dec2enc__append,axiom,
% 5.66/5.91 ! [A_27a: del,V0p: $i] :
% 5.66/5.91 ( ( mem @ V0p @ ( arr @ A_27a @ bool ) )
% 5.66/5.91 => ! [V1d: $i] :
% 5.66/5.91 ( ( mem @ V1d @ ( arr @ ( ty_2Elist_2Elist @ bool ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) ) ) )
% 5.66/5.91 => ! [V2x: $i] :
% 5.66/5.91 ( ( mem @ V2x @ A_27a )
% 5.66/5.91 => ! [V3t: tp__c_ty_2Elist_2Elist_o] :
% 5.66/5.91 ( ( ( p @ ( ap @ ( ap @ ( c_2EDecode_2Ewf__decoder @ A_27a ) @ V0p ) @ V1d ) )
% 5.66/5.91 & ( p @ ( ap @ V0p @ V2x ) ) )
% 5.66/5.91 => ( ( ap @ V1d @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ bool ) @ ( ap @ ( ap @ ( c_2EDecode_2Edec2enc @ A_27a ) @ V1d ) @ V2x ) ) @ ( inj__c_ty_2Elist_2Elist_o @ V3t ) ) )
% 5.66/5.91 = ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) @ V2x ) @ ( inj__c_ty_2Elist_2Elist_o @ V3t ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2EDecode_2Ewf__dec2enc,axiom,
% 5.66/5.91 ! [A_27a: del,V0p: $i] :
% 5.66/5.91 ( ( mem @ V0p @ ( arr @ A_27a @ bool ) )
% 5.66/5.91 => ! [V1d: $i] :
% 5.66/5.91 ( ( mem @ V1d @ ( arr @ ( ty_2Elist_2Elist @ bool ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) ) ) )
% 5.66/5.91 => ( ( p @ ( ap @ ( ap @ ( c_2EDecode_2Ewf__decoder @ A_27a ) @ V0p ) @ V1d ) )
% 5.66/5.91 => ( p @ ( ap @ ( ap @ ( c_2EEncode_2Ewf__encoder @ A_27a ) @ V0p ) @ ( ap @ ( c_2EDecode_2Edec2enc @ A_27a ) @ V1d ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2EDecode_2Edec2enc__enc2dec,axiom,
% 5.66/5.91 ! [A_27a: del,V0p: $i] :
% 5.66/5.91 ( ( mem @ V0p @ ( arr @ A_27a @ bool ) )
% 5.66/5.91 => ! [V1e: $i] :
% 5.66/5.91 ( ( mem @ V1e @ ( arr @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) )
% 5.66/5.91 => ! [V2x: $i] :
% 5.66/5.91 ( ( mem @ V2x @ A_27a )
% 5.66/5.91 => ( ( ( p @ ( ap @ ( ap @ ( c_2EEncode_2Ewf__encoder @ A_27a ) @ V0p ) @ V1e ) )
% 5.66/5.91 & ( p @ ( ap @ V0p @ V2x ) ) )
% 5.66/5.91 => ( ( surj__c_ty_2Elist_2Elist_o @ ( ap @ ( ap @ ( c_2EDecode_2Edec2enc @ A_27a ) @ ( ap @ ( ap @ ( c_2EDecode_2Eenc2dec @ A_27a ) @ V0p ) @ V1e ) ) @ V2x ) )
% 5.66/5.91 = ( surj__c_ty_2Elist_2Elist_o @ ( ap @ V1e @ V2x ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2EDecode_2Eenc2dec__dec2enc,axiom,
% 5.66/5.91 ! [A_27a: del,V0p: $i] :
% 5.66/5.91 ( ( mem @ V0p @ ( arr @ A_27a @ bool ) )
% 5.66/5.91 => ! [V1d: $i] :
% 5.66/5.91 ( ( mem @ V1d @ ( arr @ ( ty_2Elist_2Elist @ bool ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) ) ) )
% 5.66/5.91 => ( ( p @ ( ap @ ( ap @ ( c_2EDecode_2Ewf__decoder @ A_27a ) @ V0p ) @ V1d ) )
% 5.66/5.91 => ( ( ap @ ( ap @ ( c_2EDecode_2Eenc2dec @ A_27a ) @ V0p ) @ ( ap @ ( c_2EDecode_2Edec2enc @ A_27a ) @ V1d ) )
% 5.66/5.91 = V1d ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(ax_thm_2EDecode_2Edecode__unit__def,axiom,
% 5.66/5.91 ! [V0p: $i] :
% 5.66/5.91 ( ( mem @ V0p @ ( arr @ ty_2Eone_2Eone @ bool ) )
% 5.66/5.91 => ( ( ap @ c_2EDecode_2Edecode__unit @ V0p )
% 5.66/5.91 = ( ap @ ( ap @ ( c_2EDecode_2Eenc2dec @ ty_2Eone_2Eone ) @ V0p ) @ c_2EEncode_2Eencode__unit ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2EDecode_2Ewf__decode__unit,axiom,
% 5.66/5.91 ! [V0p: $i] :
% 5.66/5.91 ( ( mem @ V0p @ ( arr @ ty_2Eone_2Eone @ bool ) )
% 5.66/5.91 => ( p @ ( ap @ ( ap @ ( c_2EDecode_2Ewf__decoder @ ty_2Eone_2Eone ) @ V0p ) @ ( ap @ c_2EDecode_2Edecode__unit @ V0p ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2EDecode_2Edec2enc__decode__unit,axiom,
% 5.66/5.91 ! [V0p: $i] :
% 5.66/5.91 ( ( mem @ V0p @ ( arr @ ty_2Eone_2Eone @ bool ) )
% 5.66/5.91 => ! [V1x: tp__ty_2Eone_2Eone] :
% 5.66/5.91 ( ( p @ ( ap @ V0p @ ( inj__ty_2Eone_2Eone @ V1x ) ) )
% 5.66/5.91 => ( ( surj__c_ty_2Elist_2Elist_o @ ( ap @ ( ap @ ( c_2EDecode_2Edec2enc @ ty_2Eone_2Eone ) @ ( ap @ c_2EDecode_2Edecode__unit @ V0p ) ) @ ( inj__ty_2Eone_2Eone @ V1x ) ) )
% 5.66/5.91 = ( surj__c_ty_2Elist_2Elist_o @ ( ap @ c_2EEncode_2Eencode__unit @ ( inj__ty_2Eone_2Eone @ V1x ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2EDecode_2Edecode__unit,axiom,
% 5.66/5.91 ! [V0p: $i] :
% 5.66/5.91 ( ( mem @ V0p @ ( arr @ ty_2Eone_2Eone @ bool ) )
% 5.66/5.91 => ! [V1l: tp__c_ty_2Elist_2Elist_o] :
% 5.66/5.91 ( ( surj__c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_ty_2Eone_2Eone_c_ty_2Elist_2Elist_o @ ( ap @ ( ap @ c_2EDecode_2Edecode__unit @ V0p ) @ ( inj__c_ty_2Elist_2Elist_o @ V1l ) ) )
% 5.66/5.91 = ( surj__c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_ty_2Eone_2Eone_c_ty_2Elist_2Elist_o @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ ( ty_2Elist_2Elist @ bool ) ) ) ) @ ( ap @ V0p @ ( inj__ty_2Eone_2Eone @ fo__c_2Eone_2Eone ) ) ) @ ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ ( ty_2Elist_2Elist @ bool ) ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Eone_2Eone @ ( ty_2Elist_2Elist @ bool ) ) @ ( inj__ty_2Eone_2Eone @ fo__c_2Eone_2Eone ) ) @ ( inj__c_ty_2Elist_2Elist_o @ V1l ) ) ) ) @ ( c_2Eoption_2ENONE @ ( ty_2Epair_2Eprod @ ty_2Eone_2Eone @ ( ty_2Elist_2Elist @ bool ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(ax_thm_2EDecode_2Edecode__bool__def,axiom,
% 5.66/5.91 ! [V0p: $i] :
% 5.66/5.91 ( ( mem @ V0p @ ( arr @ bool @ bool ) )
% 5.66/5.91 => ( ( ap @ c_2EDecode_2Edecode__bool @ V0p )
% 5.66/5.91 = ( ap @ ( ap @ ( c_2EDecode_2Eenc2dec @ bool ) @ V0p ) @ c_2EEncode_2Eencode__bool ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2EDecode_2Ewf__decode__bool,axiom,
% 5.66/5.91 ! [V0p: $i] :
% 5.66/5.91 ( ( mem @ V0p @ ( arr @ bool @ bool ) )
% 5.66/5.91 => ( p @ ( ap @ ( ap @ ( c_2EDecode_2Ewf__decoder @ bool ) @ V0p ) @ ( ap @ c_2EDecode_2Edecode__bool @ V0p ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2EDecode_2Edec2enc__decode__bool,axiom,
% 5.66/5.91 ! [V0p: $i] :
% 5.66/5.91 ( ( mem @ V0p @ ( arr @ bool @ bool ) )
% 5.66/5.91 => ! [V1x: $i] :
% 5.66/5.91 ( ( mem @ V1x @ bool )
% 5.66/5.91 => ( ( p @ ( ap @ V0p @ V1x ) )
% 5.66/5.91 => ( ( surj__c_ty_2Elist_2Elist_o @ ( ap @ ( ap @ ( c_2EDecode_2Edec2enc @ bool ) @ ( ap @ c_2EDecode_2Edecode__bool @ V0p ) ) @ V1x ) )
% 5.66/5.91 = ( surj__c_ty_2Elist_2Elist_o @ ( ap @ c_2EEncode_2Eencode__bool @ V1x ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2EDecode_2Edecode__bool,axiom,
% 5.66/5.91 ! [V0p: $i] :
% 5.66/5.91 ( ( mem @ V0p @ ( arr @ bool @ bool ) )
% 5.66/5.91 => ! [V1l: tp__c_ty_2Elist_2Elist_o] :
% 5.66/5.91 ( ( surj__c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_o_c_ty_2Elist_2Elist_o @ ( ap @ ( ap @ c_2EDecode_2Edecode__bool @ V0p ) @ ( inj__c_ty_2Elist_2Elist_o @ V1l ) ) )
% 5.66/5.91 = ( surj__c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_o_c_ty_2Elist_2Elist_o
% 5.66/5.91 @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2Elist__CASE @ bool @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ bool @ ( ty_2Elist_2Elist @ bool ) ) ) ) @ ( inj__c_ty_2Elist_2Elist_o @ V1l ) ) @ ( c_2Eoption_2ENONE @ ( ty_2Epair_2Eprod @ bool @ ( ty_2Elist_2Elist @ bool ) ) ) )
% 5.66/5.91 @ ( lam @ bool
% 5.66/5.91 @ ^ [V2h: $i] :
% 5.66/5.91 ( lam @ ( ty_2Elist_2Elist @ bool )
% 5.66/5.91 @ ^ [V3t: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ bool @ ( ty_2Elist_2Elist @ bool ) ) ) ) @ ( ap @ V0p @ V2h ) ) @ ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Epair_2Eprod @ bool @ ( ty_2Elist_2Elist @ bool ) ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ bool @ ( ty_2Elist_2Elist @ bool ) ) @ V2h ) @ V3t ) ) ) @ ( c_2Eoption_2ENONE @ ( ty_2Epair_2Eprod @ bool @ ( ty_2Elist_2Elist @ bool ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(ax_thm_2EDecode_2Edecode__prod__def,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0p: $i] :
% 5.66/5.91 ( ( mem @ V0p @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ bool ) )
% 5.66/5.91 => ! [V1d1: $i] :
% 5.66/5.91 ( ( mem @ V1d1 @ ( arr @ ( ty_2Elist_2Elist @ bool ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) ) ) )
% 5.66/5.91 => ! [V2d2: $i] :
% 5.66/5.91 ( ( mem @ V2d2 @ ( arr @ ( ty_2Elist_2Elist @ bool ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27b @ ( ty_2Elist_2Elist @ bool ) ) ) ) )
% 5.66/5.91 => ( ( ap @ ( ap @ ( ap @ ( c_2EDecode_2Edecode__prod @ A_27a @ A_27b ) @ V0p ) @ V1d1 ) @ V2d2 )
% 5.66/5.91 = ( ap @ ( ap @ ( c_2EDecode_2Eenc2dec @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ V0p ) @ ( ap @ ( ap @ ( c_2EEncode_2Eencode__prod @ A_27a @ A_27b ) @ ( ap @ ( c_2EDecode_2Edec2enc @ A_27a ) @ V1d1 ) ) @ ( ap @ ( c_2EDecode_2Edec2enc @ A_27b ) @ V2d2 ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2EDecode_2Ewf__decode__prod,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0p1: $i] :
% 5.66/5.91 ( ( mem @ V0p1 @ ( arr @ A_27a @ bool ) )
% 5.66/5.91 => ! [V1p2: $i] :
% 5.66/5.91 ( ( mem @ V1p2 @ ( arr @ A_27b @ bool ) )
% 5.66/5.91 => ! [V2d1: $i] :
% 5.66/5.91 ( ( mem @ V2d1 @ ( arr @ ( ty_2Elist_2Elist @ bool ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) ) ) )
% 5.66/5.91 => ! [V3d2: $i] :
% 5.66/5.91 ( ( mem @ V3d2 @ ( arr @ ( ty_2Elist_2Elist @ bool ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27b @ ( ty_2Elist_2Elist @ bool ) ) ) ) )
% 5.66/5.91 => ( ( ( p @ ( ap @ ( ap @ ( c_2EDecode_2Ewf__decoder @ A_27a ) @ V0p1 ) @ V2d1 ) )
% 5.66/5.91 & ( p @ ( ap @ ( ap @ ( c_2EDecode_2Ewf__decoder @ A_27b ) @ V1p2 ) @ V3d2 ) ) )
% 5.66/5.91 => ( p @ ( ap @ ( ap @ ( c_2EDecode_2Ewf__decoder @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( ap @ ( ap @ ( c_2EEncode_2Elift__prod @ A_27a @ A_27b ) @ V0p1 ) @ V1p2 ) ) @ ( ap @ ( ap @ ( ap @ ( c_2EDecode_2Edecode__prod @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2EEncode_2Elift__prod @ A_27a @ A_27b ) @ V0p1 ) @ V1p2 ) ) @ V2d1 ) @ V3d2 ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2EDecode_2Edec2enc__decode__prod,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0p1: $i] :
% 5.66/5.91 ( ( mem @ V0p1 @ ( arr @ A_27a @ bool ) )
% 5.66/5.91 => ! [V1p2: $i] :
% 5.66/5.91 ( ( mem @ V1p2 @ ( arr @ A_27b @ bool ) )
% 5.66/5.91 => ! [V2d1: $i] :
% 5.66/5.91 ( ( mem @ V2d1 @ ( arr @ ( ty_2Elist_2Elist @ bool ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) ) ) )
% 5.66/5.91 => ! [V3d2: $i] :
% 5.66/5.91 ( ( mem @ V3d2 @ ( arr @ ( ty_2Elist_2Elist @ bool ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27b @ ( ty_2Elist_2Elist @ bool ) ) ) ) )
% 5.66/5.91 => ! [V4x: $i] :
% 5.66/5.91 ( ( mem @ V4x @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( ( p @ ( ap @ ( ap @ ( c_2EDecode_2Ewf__decoder @ A_27a ) @ V0p1 ) @ V2d1 ) )
% 5.66/5.91 & ( p @ ( ap @ ( ap @ ( c_2EDecode_2Ewf__decoder @ A_27b ) @ V1p2 ) @ V3d2 ) )
% 5.66/5.91 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2EEncode_2Elift__prod @ A_27a @ A_27b ) @ V0p1 ) @ V1p2 ) @ V4x ) ) )
% 5.66/5.91 => ( ( surj__c_ty_2Elist_2Elist_o @ ( ap @ ( ap @ ( c_2EDecode_2Edec2enc @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( ap @ ( ap @ ( ap @ ( c_2EDecode_2Edecode__prod @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2EEncode_2Elift__prod @ A_27a @ A_27b ) @ V0p1 ) @ V1p2 ) ) @ V2d1 ) @ V3d2 ) ) @ V4x ) )
% 5.66/5.91 = ( surj__c_ty_2Elist_2Elist_o @ ( ap @ ( ap @ ( ap @ ( c_2EEncode_2Eencode__prod @ A_27a @ A_27b ) @ ( ap @ ( c_2EDecode_2Edec2enc @ A_27a ) @ V2d1 ) ) @ ( ap @ ( c_2EDecode_2Edec2enc @ A_27b ) @ V3d2 ) ) @ V4x ) ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2EDecode_2Eencode__then__decode__prod,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0p1: $i] :
% 5.66/5.91 ( ( mem @ V0p1 @ ( arr @ A_27a @ bool ) )
% 5.66/5.91 => ! [V1p2: $i] :
% 5.66/5.91 ( ( mem @ V1p2 @ ( arr @ A_27b @ bool ) )
% 5.66/5.91 => ! [V2e1: $i] :
% 5.66/5.91 ( ( mem @ V2e1 @ ( arr @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) )
% 5.66/5.91 => ! [V3e2: $i] :
% 5.66/5.91 ( ( mem @ V3e2 @ ( arr @ A_27b @ ( ty_2Elist_2Elist @ bool ) ) )
% 5.66/5.91 => ! [V4l: $i] :
% 5.66/5.91 ( ( mem @ V4l @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) )
% 5.66/5.91 => ! [V5t: tp__c_ty_2Elist_2Elist_o] :
% 5.66/5.91 ( ( ( p @ ( ap @ ( ap @ ( c_2EEncode_2Ewf__encoder @ A_27a ) @ V0p1 ) @ V2e1 ) )
% 5.66/5.91 & ( p @ ( ap @ ( ap @ ( c_2EEncode_2Ewf__encoder @ A_27b ) @ V1p2 ) @ V3e2 ) )
% 5.66/5.91 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2EEncode_2Elift__prod @ A_27a @ A_27b ) @ V0p1 ) @ V1p2 ) @ V4l ) ) )
% 5.66/5.91 => ( ( ap @ ( ap @ ( ap @ ( ap @ ( c_2EDecode_2Edecode__prod @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2EEncode_2Elift__prod @ A_27a @ A_27b ) @ V0p1 ) @ V1p2 ) ) @ ( ap @ ( ap @ ( c_2EDecode_2Eenc2dec @ A_27a ) @ V0p1 ) @ V2e1 ) ) @ ( ap @ ( ap @ ( c_2EDecode_2Eenc2dec @ A_27b ) @ V1p2 ) @ V3e2 ) ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ bool ) @ ( ap @ ( ap @ ( ap @ ( c_2EEncode_2Eencode__prod @ A_27a @ A_27b ) @ V2e1 ) @ V3e2 ) @ V4l ) ) @ ( inj__c_ty_2Elist_2Elist_o @ V5t ) ) )
% 5.66/5.91 = ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Epair_2Eprod @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ ( ty_2Elist_2Elist @ bool ) ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ ( ty_2Elist_2Elist @ bool ) ) @ V4l ) @ ( inj__c_ty_2Elist_2Elist_o @ V5t ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2EDecode_2Edecode__prod,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0p1: $i] :
% 5.66/5.91 ( ( mem @ V0p1 @ ( arr @ A_27a @ bool ) )
% 5.66/5.91 => ! [V1d1: $i] :
% 5.66/5.91 ( ( mem @ V1d1 @ ( arr @ ( ty_2Elist_2Elist @ bool ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) ) ) )
% 5.66/5.91 => ! [V2p2: $i] :
% 5.66/5.91 ( ( mem @ V2p2 @ ( arr @ A_27b @ bool ) )
% 5.66/5.91 => ! [V3d2: $i] :
% 5.66/5.91 ( ( mem @ V3d2 @ ( arr @ ( ty_2Elist_2Elist @ bool ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27b @ ( ty_2Elist_2Elist @ bool ) ) ) ) )
% 5.66/5.91 => ! [V4l: tp__c_ty_2Elist_2Elist_o] :
% 5.66/5.91 ( ( ( p @ ( ap @ ( ap @ ( c_2EDecode_2Ewf__decoder @ A_27a ) @ V0p1 ) @ V1d1 ) )
% 5.66/5.91 & ( p @ ( ap @ ( ap @ ( c_2EDecode_2Ewf__decoder @ A_27b ) @ V2p2 ) @ V3d2 ) ) )
% 5.66/5.91 => ( ( ap @ ( ap @ ( ap @ ( ap @ ( c_2EDecode_2Edecode__prod @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2EEncode_2Elift__prod @ A_27a @ A_27b ) @ V0p1 ) @ V2p2 ) ) @ V1d1 ) @ V3d2 ) @ ( inj__c_ty_2Elist_2Elist_o @ V4l ) )
% 5.66/5.91 = ( ap @ ( ap @ ( ap @ ( c_2Eoption_2Eoption__CASE @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ ( ty_2Elist_2Elist @ bool ) ) ) ) @ ( ap @ V1d1 @ ( inj__c_ty_2Elist_2Elist_o @ V4l ) ) ) @ ( c_2Eoption_2ENONE @ ( ty_2Epair_2Eprod @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ ( ty_2Elist_2Elist @ bool ) ) ) )
% 5.66/5.91 @ ( lam @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Elist_2Elist @ bool ) )
% 5.66/5.91 @ ^ [V5v1: $i] :
% 5.66/5.91 ( ap @ ( ap @ ( c_2Epair_2Epair__CASE @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ ( ty_2Elist_2Elist @ bool ) ) ) @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) @ V5v1 )
% 5.66/5.91 @ ( lam @ A_27a
% 5.66/5.91 @ ^ [V6x: $i] :
% 5.66/5.91 ( lam @ ( ty_2Elist_2Elist @ bool )
% 5.66/5.91 @ ^ [V7t: $i] :
% 5.66/5.91 ( ap @ ( ap @ ( ap @ ( c_2Eoption_2Eoption__CASE @ ( ty_2Epair_2Eprod @ A_27b @ ( ty_2Elist_2Elist @ bool ) ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ ( ty_2Elist_2Elist @ bool ) ) ) ) @ ( ap @ V3d2 @ V7t ) ) @ ( c_2Eoption_2ENONE @ ( ty_2Epair_2Eprod @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ ( ty_2Elist_2Elist @ bool ) ) ) )
% 5.66/5.91 @ ( lam @ ( ty_2Epair_2Eprod @ A_27b @ ( ty_2Elist_2Elist @ bool ) )
% 5.66/5.91 @ ^ [V8v: $i] :
% 5.66/5.91 ( ap @ ( ap @ ( c_2Epair_2Epair__CASE @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ ( ty_2Elist_2Elist @ bool ) ) ) @ A_27b @ ( ty_2Elist_2Elist @ bool ) ) @ V8v )
% 5.66/5.91 @ ( lam @ A_27b
% 5.66/5.91 @ ^ [V9y: $i] :
% 5.66/5.91 ( lam @ ( ty_2Elist_2Elist @ bool )
% 5.66/5.91 @ ^ [V10t_27: $i] : ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Epair_2Eprod @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ ( ty_2Elist_2Elist @ bool ) ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ ( ty_2Elist_2Elist @ bool ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V6x ) @ V9y ) ) @ V10t_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(ax_thm_2EDecode_2Edecode__sum__def,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0p: $i] :
% 5.66/5.91 ( ( mem @ V0p @ ( arr @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) @ bool ) )
% 5.66/5.91 => ! [V1d1: $i] :
% 5.66/5.91 ( ( mem @ V1d1 @ ( arr @ ( ty_2Elist_2Elist @ bool ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) ) ) )
% 5.66/5.91 => ! [V2d2: $i] :
% 5.66/5.91 ( ( mem @ V2d2 @ ( arr @ ( ty_2Elist_2Elist @ bool ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27b @ ( ty_2Elist_2Elist @ bool ) ) ) ) )
% 5.66/5.91 => ( ( ap @ ( ap @ ( ap @ ( c_2EDecode_2Edecode__sum @ A_27a @ A_27b ) @ V0p ) @ V1d1 ) @ V2d2 )
% 5.66/5.91 = ( ap @ ( ap @ ( c_2EDecode_2Eenc2dec @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) ) @ V0p ) @ ( ap @ ( ap @ ( c_2EEncode_2Eencode__sum @ A_27a @ A_27b ) @ ( ap @ ( c_2EDecode_2Edec2enc @ A_27a ) @ V1d1 ) ) @ ( ap @ ( c_2EDecode_2Edec2enc @ A_27b ) @ V2d2 ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2EDecode_2Ewf__decode__sum,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0p1: $i] :
% 5.66/5.91 ( ( mem @ V0p1 @ ( arr @ A_27a @ bool ) )
% 5.66/5.91 => ! [V1p2: $i] :
% 5.66/5.91 ( ( mem @ V1p2 @ ( arr @ A_27b @ bool ) )
% 5.66/5.91 => ! [V2d1: $i] :
% 5.66/5.91 ( ( mem @ V2d1 @ ( arr @ ( ty_2Elist_2Elist @ bool ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) ) ) )
% 5.66/5.91 => ! [V3d2: $i] :
% 5.66/5.91 ( ( mem @ V3d2 @ ( arr @ ( ty_2Elist_2Elist @ bool ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27b @ ( ty_2Elist_2Elist @ bool ) ) ) ) )
% 5.66/5.91 => ( ( ( p @ ( ap @ ( ap @ ( c_2EDecode_2Ewf__decoder @ A_27a ) @ V0p1 ) @ V2d1 ) )
% 5.66/5.91 & ( p @ ( ap @ ( ap @ ( c_2EDecode_2Ewf__decoder @ A_27b ) @ V1p2 ) @ V3d2 ) ) )
% 5.66/5.91 => ( p @ ( ap @ ( ap @ ( c_2EDecode_2Ewf__decoder @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) ) @ ( ap @ ( ap @ ( c_2EEncode_2Elift__sum @ A_27a @ A_27b ) @ V0p1 ) @ V1p2 ) ) @ ( ap @ ( ap @ ( ap @ ( c_2EDecode_2Edecode__sum @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2EEncode_2Elift__sum @ A_27a @ A_27b ) @ V0p1 ) @ V1p2 ) ) @ V2d1 ) @ V3d2 ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2EDecode_2Edec2enc__decode__sum,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0p1: $i] :
% 5.66/5.91 ( ( mem @ V0p1 @ ( arr @ A_27a @ bool ) )
% 5.66/5.91 => ! [V1p2: $i] :
% 5.66/5.91 ( ( mem @ V1p2 @ ( arr @ A_27b @ bool ) )
% 5.66/5.91 => ! [V2d1: $i] :
% 5.66/5.91 ( ( mem @ V2d1 @ ( arr @ ( ty_2Elist_2Elist @ bool ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) ) ) )
% 5.66/5.91 => ! [V3d2: $i] :
% 5.66/5.91 ( ( mem @ V3d2 @ ( arr @ ( ty_2Elist_2Elist @ bool ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27b @ ( ty_2Elist_2Elist @ bool ) ) ) ) )
% 5.66/5.91 => ! [V4x: $i] :
% 5.66/5.91 ( ( mem @ V4x @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) )
% 5.66/5.91 => ( ( ( p @ ( ap @ ( ap @ ( c_2EDecode_2Ewf__decoder @ A_27a ) @ V0p1 ) @ V2d1 ) )
% 5.66/5.91 & ( p @ ( ap @ ( ap @ ( c_2EDecode_2Ewf__decoder @ A_27b ) @ V1p2 ) @ V3d2 ) )
% 5.66/5.91 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2EEncode_2Elift__sum @ A_27a @ A_27b ) @ V0p1 ) @ V1p2 ) @ V4x ) ) )
% 5.66/5.91 => ( ( surj__c_ty_2Elist_2Elist_o @ ( ap @ ( ap @ ( c_2EDecode_2Edec2enc @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) ) @ ( ap @ ( ap @ ( ap @ ( c_2EDecode_2Edecode__sum @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2EEncode_2Elift__sum @ A_27a @ A_27b ) @ V0p1 ) @ V1p2 ) ) @ V2d1 ) @ V3d2 ) ) @ V4x ) )
% 5.66/5.91 = ( surj__c_ty_2Elist_2Elist_o @ ( ap @ ( ap @ ( ap @ ( c_2EEncode_2Eencode__sum @ A_27a @ A_27b ) @ ( ap @ ( c_2EDecode_2Edec2enc @ A_27a ) @ V2d1 ) ) @ ( ap @ ( c_2EDecode_2Edec2enc @ A_27b ) @ V3d2 ) ) @ V4x ) ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2EDecode_2Eencode__then__decode__sum,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0p1: $i] :
% 5.66/5.91 ( ( mem @ V0p1 @ ( arr @ A_27a @ bool ) )
% 5.66/5.91 => ! [V1p2: $i] :
% 5.66/5.91 ( ( mem @ V1p2 @ ( arr @ A_27b @ bool ) )
% 5.66/5.91 => ! [V2e1: $i] :
% 5.66/5.91 ( ( mem @ V2e1 @ ( arr @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) )
% 5.66/5.91 => ! [V3e2: $i] :
% 5.66/5.91 ( ( mem @ V3e2 @ ( arr @ A_27b @ ( ty_2Elist_2Elist @ bool ) ) )
% 5.66/5.91 => ! [V4l: $i] :
% 5.66/5.91 ( ( mem @ V4l @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) )
% 5.66/5.91 => ! [V5t: tp__c_ty_2Elist_2Elist_o] :
% 5.66/5.91 ( ( ( p @ ( ap @ ( ap @ ( c_2EEncode_2Ewf__encoder @ A_27a ) @ V0p1 ) @ V2e1 ) )
% 5.66/5.91 & ( p @ ( ap @ ( ap @ ( c_2EEncode_2Ewf__encoder @ A_27b ) @ V1p2 ) @ V3e2 ) )
% 5.66/5.91 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2EEncode_2Elift__sum @ A_27a @ A_27b ) @ V0p1 ) @ V1p2 ) @ V4l ) ) )
% 5.66/5.91 => ( ( ap @ ( ap @ ( ap @ ( ap @ ( c_2EDecode_2Edecode__sum @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2EEncode_2Elift__sum @ A_27a @ A_27b ) @ V0p1 ) @ V1p2 ) ) @ ( ap @ ( ap @ ( c_2EDecode_2Eenc2dec @ A_27a ) @ V0p1 ) @ V2e1 ) ) @ ( ap @ ( ap @ ( c_2EDecode_2Eenc2dec @ A_27b ) @ V1p2 ) @ V3e2 ) ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ bool ) @ ( ap @ ( ap @ ( ap @ ( c_2EEncode_2Eencode__sum @ A_27a @ A_27b ) @ V2e1 ) @ V3e2 ) @ V4l ) ) @ ( inj__c_ty_2Elist_2Elist_o @ V5t ) ) )
% 5.66/5.91 = ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Epair_2Eprod @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) @ ( ty_2Elist_2Elist @ bool ) ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) @ ( ty_2Elist_2Elist @ bool ) ) @ V4l ) @ ( inj__c_ty_2Elist_2Elist_o @ V5t ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2EDecode_2Edecode__sum,axiom,
% 5.66/5.91 ! [A_27a: del,A_27b: del,V0p1: $i] :
% 5.66/5.91 ( ( mem @ V0p1 @ ( arr @ A_27a @ bool ) )
% 5.66/5.91 => ! [V1d1: $i] :
% 5.66/5.91 ( ( mem @ V1d1 @ ( arr @ ( ty_2Elist_2Elist @ bool ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) ) ) )
% 5.66/5.91 => ! [V2p2: $i] :
% 5.66/5.91 ( ( mem @ V2p2 @ ( arr @ A_27b @ bool ) )
% 5.66/5.91 => ! [V3d2: $i] :
% 5.66/5.91 ( ( mem @ V3d2 @ ( arr @ ( ty_2Elist_2Elist @ bool ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27b @ ( ty_2Elist_2Elist @ bool ) ) ) ) )
% 5.66/5.91 => ! [V4l: tp__c_ty_2Elist_2Elist_o] :
% 5.66/5.91 ( ( ( p @ ( ap @ ( ap @ ( c_2EDecode_2Ewf__decoder @ A_27a ) @ V0p1 ) @ V1d1 ) )
% 5.66/5.91 & ( p @ ( ap @ ( ap @ ( c_2EDecode_2Ewf__decoder @ A_27b ) @ V2p2 ) @ V3d2 ) ) )
% 5.66/5.91 => ( ( ap @ ( ap @ ( ap @ ( ap @ ( c_2EDecode_2Edecode__sum @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2EEncode_2Elift__sum @ A_27a @ A_27b ) @ V0p1 ) @ V2p2 ) ) @ V1d1 ) @ V3d2 ) @ ( inj__c_ty_2Elist_2Elist_o @ V4l ) )
% 5.66/5.91 = ( ap @ ( ap @ ( ap @ ( c_2Elist_2Elist__CASE @ bool @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) @ ( ty_2Elist_2Elist @ bool ) ) ) ) @ ( inj__c_ty_2Elist_2Elist_o @ V4l ) ) @ ( c_2Eoption_2ENONE @ ( ty_2Epair_2Eprod @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) @ ( ty_2Elist_2Elist @ bool ) ) ) )
% 5.66/5.91 @ ( lam @ bool
% 5.66/5.91 @ ^ [V5v1: $i] :
% 5.66/5.91 ( lam @ ( ty_2Elist_2Elist @ bool )
% 5.66/5.91 @ ^ [V6t: $i] :
% 5.66/5.91 ( ap
% 5.66/5.91 @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) @ ( ty_2Elist_2Elist @ bool ) ) ) ) @ V5v1 )
% 5.66/5.91 @ ( ap @ ( ap @ ( ap @ ( c_2Eoption_2Eoption__CASE @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) @ ( ty_2Elist_2Elist @ bool ) ) ) ) @ ( ap @ V1d1 @ V6t ) ) @ ( c_2Eoption_2ENONE @ ( ty_2Epair_2Eprod @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) @ ( ty_2Elist_2Elist @ bool ) ) ) )
% 5.66/5.91 @ ( lam @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Elist_2Elist @ bool ) )
% 5.66/5.91 @ ^ [V7v: $i] :
% 5.66/5.91 ( ap @ ( ap @ ( c_2Epair_2Epair__CASE @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) @ ( ty_2Elist_2Elist @ bool ) ) ) @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) @ V7v )
% 5.66/5.91 @ ( lam @ A_27a
% 5.66/5.91 @ ^ [V8x: $i] :
% 5.66/5.91 ( lam @ ( ty_2Elist_2Elist @ bool )
% 5.66/5.91 @ ^ [V9t_27: $i] : ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Epair_2Eprod @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) @ ( ty_2Elist_2Elist @ bool ) ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) @ ( ty_2Elist_2Elist @ bool ) ) @ ( ap @ ( c_2Esum_2EINL @ A_27a @ A_27b ) @ V8x ) ) @ V9t_27 ) ) ) ) ) ) ) )
% 5.66/5.91 @ ( ap @ ( ap @ ( ap @ ( c_2Eoption_2Eoption__CASE @ ( ty_2Epair_2Eprod @ A_27b @ ( ty_2Elist_2Elist @ bool ) ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) @ ( ty_2Elist_2Elist @ bool ) ) ) ) @ ( ap @ V3d2 @ V6t ) ) @ ( c_2Eoption_2ENONE @ ( ty_2Epair_2Eprod @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) @ ( ty_2Elist_2Elist @ bool ) ) ) )
% 5.66/5.91 @ ( lam @ ( ty_2Epair_2Eprod @ A_27b @ ( ty_2Elist_2Elist @ bool ) )
% 5.66/5.91 @ ^ [V10v: $i] :
% 5.66/5.91 ( ap @ ( ap @ ( c_2Epair_2Epair__CASE @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) @ ( ty_2Elist_2Elist @ bool ) ) ) @ A_27b @ ( ty_2Elist_2Elist @ bool ) ) @ V10v )
% 5.66/5.91 @ ( lam @ A_27b
% 5.66/5.91 @ ^ [V11x: $i] :
% 5.66/5.91 ( lam @ ( ty_2Elist_2Elist @ bool )
% 5.66/5.91 @ ^ [V12t_27: $i] : ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Epair_2Eprod @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) @ ( ty_2Elist_2Elist @ bool ) ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) @ ( ty_2Elist_2Elist @ bool ) ) @ ( ap @ ( c_2Esum_2EINR @ A_27a @ A_27b ) @ V11x ) ) @ V12t_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(ax_thm_2EDecode_2Edecode__option__def,axiom,
% 5.66/5.91 ! [A_27a: del,V0p: $i] :
% 5.66/5.91 ( ( mem @ V0p @ ( arr @ ( ty_2Eoption_2Eoption @ A_27a ) @ bool ) )
% 5.66/5.91 => ! [V1d: $i] :
% 5.66/5.91 ( ( mem @ V1d @ ( arr @ ( ty_2Elist_2Elist @ bool ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) ) ) )
% 5.66/5.91 => ( ( ap @ ( ap @ ( c_2EDecode_2Edecode__option @ A_27a ) @ V0p ) @ V1d )
% 5.66/5.91 = ( ap @ ( ap @ ( c_2EDecode_2Eenc2dec @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ V0p ) @ ( ap @ ( c_2EEncode_2Eencode__option @ A_27a ) @ ( ap @ ( c_2EDecode_2Edec2enc @ A_27a ) @ V1d ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2EDecode_2Ewf__decode__option,axiom,
% 5.66/5.91 ! [A_27a: del,V0p: $i] :
% 5.66/5.91 ( ( mem @ V0p @ ( arr @ A_27a @ bool ) )
% 5.66/5.91 => ! [V1d: $i] :
% 5.66/5.91 ( ( mem @ V1d @ ( arr @ ( ty_2Elist_2Elist @ bool ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) ) ) )
% 5.66/5.91 => ( ( p @ ( ap @ ( ap @ ( c_2EDecode_2Ewf__decoder @ A_27a ) @ V0p ) @ V1d ) )
% 5.66/5.91 => ( p @ ( ap @ ( ap @ ( c_2EDecode_2Ewf__decoder @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ ( ap @ ( c_2EEncode_2Elift__option @ A_27a ) @ V0p ) ) @ ( ap @ ( ap @ ( c_2EDecode_2Edecode__option @ A_27a ) @ ( ap @ ( c_2EEncode_2Elift__option @ A_27a ) @ V0p ) ) @ V1d ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2EDecode_2Edec2enc__decode__option,axiom,
% 5.66/5.91 ! [A_27a: del,V0p: $i] :
% 5.66/5.91 ( ( mem @ V0p @ ( arr @ A_27a @ bool ) )
% 5.66/5.91 => ! [V1d: $i] :
% 5.66/5.91 ( ( mem @ V1d @ ( arr @ ( ty_2Elist_2Elist @ bool ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) ) ) )
% 5.66/5.91 => ! [V2x: $i] :
% 5.66/5.91 ( ( mem @ V2x @ ( ty_2Eoption_2Eoption @ A_27a ) )
% 5.66/5.91 => ( ( ( p @ ( ap @ ( ap @ ( c_2EDecode_2Ewf__decoder @ A_27a ) @ V0p ) @ V1d ) )
% 5.66/5.91 & ( p @ ( ap @ ( ap @ ( c_2EEncode_2Elift__option @ A_27a ) @ V0p ) @ V2x ) ) )
% 5.66/5.91 => ( ( surj__c_ty_2Elist_2Elist_o @ ( ap @ ( ap @ ( c_2EDecode_2Edec2enc @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ ( ap @ ( ap @ ( c_2EDecode_2Edecode__option @ A_27a ) @ ( ap @ ( c_2EEncode_2Elift__option @ A_27a ) @ V0p ) ) @ V1d ) ) @ V2x ) )
% 5.66/5.91 = ( surj__c_ty_2Elist_2Elist_o @ ( ap @ ( ap @ ( c_2EEncode_2Eencode__option @ A_27a ) @ ( ap @ ( c_2EDecode_2Edec2enc @ A_27a ) @ V1d ) ) @ V2x ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2EDecode_2Eencode__then__decode__option,axiom,
% 5.66/5.91 ! [A_27a: del,V0p: $i] :
% 5.66/5.91 ( ( mem @ V0p @ ( arr @ A_27a @ bool ) )
% 5.66/5.91 => ! [V1e: $i] :
% 5.66/5.91 ( ( mem @ V1e @ ( arr @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) )
% 5.66/5.91 => ! [V2l: $i] :
% 5.66/5.91 ( ( mem @ V2l @ ( ty_2Eoption_2Eoption @ A_27a ) )
% 5.66/5.91 => ! [V3t: tp__c_ty_2Elist_2Elist_o] :
% 5.66/5.91 ( ( ( p @ ( ap @ ( ap @ ( c_2EEncode_2Ewf__encoder @ A_27a ) @ V0p ) @ V1e ) )
% 5.66/5.91 & ( p @ ( ap @ ( ap @ ( c_2EEncode_2Elift__option @ A_27a ) @ V0p ) @ V2l ) ) )
% 5.66/5.91 => ( ( ap @ ( ap @ ( ap @ ( c_2EDecode_2Edecode__option @ A_27a ) @ ( ap @ ( c_2EEncode_2Elift__option @ A_27a ) @ V0p ) ) @ ( ap @ ( ap @ ( c_2EDecode_2Eenc2dec @ A_27a ) @ V0p ) @ V1e ) ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ bool ) @ ( ap @ ( ap @ ( c_2EEncode_2Eencode__option @ A_27a ) @ V1e ) @ V2l ) ) @ ( inj__c_ty_2Elist_2Elist_o @ V3t ) ) )
% 5.66/5.91 = ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Epair_2Eprod @ ( ty_2Eoption_2Eoption @ A_27a ) @ ( ty_2Elist_2Elist @ bool ) ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Eoption_2Eoption @ A_27a ) @ ( ty_2Elist_2Elist @ bool ) ) @ V2l ) @ ( inj__c_ty_2Elist_2Elist_o @ V3t ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2EDecode_2Edecode__option,axiom,
% 5.66/5.91 ! [A_27a: del,V0p: $i] :
% 5.66/5.91 ( ( mem @ V0p @ ( arr @ A_27a @ bool ) )
% 5.66/5.91 => ! [V1d: $i] :
% 5.66/5.91 ( ( mem @ V1d @ ( arr @ ( ty_2Elist_2Elist @ bool ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) ) ) )
% 5.66/5.91 => ! [V2l: tp__c_ty_2Elist_2Elist_o] :
% 5.66/5.91 ( ( p @ ( ap @ ( ap @ ( c_2EDecode_2Ewf__decoder @ A_27a ) @ V0p ) @ V1d ) )
% 5.66/5.91 => ( ( ap @ ( ap @ ( ap @ ( c_2EDecode_2Edecode__option @ A_27a ) @ ( ap @ ( c_2EEncode_2Elift__option @ A_27a ) @ V0p ) ) @ V1d ) @ ( inj__c_ty_2Elist_2Elist_o @ V2l ) )
% 5.66/5.91 = ( ap @ ( ap @ ( ap @ ( c_2Elist_2Elist__CASE @ bool @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ( ty_2Eoption_2Eoption @ A_27a ) @ ( ty_2Elist_2Elist @ bool ) ) ) ) @ ( inj__c_ty_2Elist_2Elist_o @ V2l ) ) @ ( c_2Eoption_2ENONE @ ( ty_2Epair_2Eprod @ ( ty_2Eoption_2Eoption @ A_27a ) @ ( ty_2Elist_2Elist @ bool ) ) ) )
% 5.66/5.91 @ ( lam @ bool
% 5.66/5.91 @ ^ [V3v1: $i] :
% 5.66/5.91 ( lam @ ( ty_2Elist_2Elist @ bool )
% 5.66/5.91 @ ^ [V4t: $i] :
% 5.66/5.91 ( ap
% 5.66/5.91 @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ( ty_2Eoption_2Eoption @ A_27a ) @ ( ty_2Elist_2Elist @ bool ) ) ) ) @ V3v1 )
% 5.66/5.91 @ ( ap @ ( ap @ ( ap @ ( c_2Eoption_2Eoption__CASE @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ( ty_2Eoption_2Eoption @ A_27a ) @ ( ty_2Elist_2Elist @ bool ) ) ) ) @ ( ap @ V1d @ V4t ) ) @ ( c_2Eoption_2ENONE @ ( ty_2Epair_2Eprod @ ( ty_2Eoption_2Eoption @ A_27a ) @ ( ty_2Elist_2Elist @ bool ) ) ) )
% 5.66/5.91 @ ( lam @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Elist_2Elist @ bool ) )
% 5.66/5.91 @ ^ [V5v: $i] :
% 5.66/5.91 ( ap @ ( ap @ ( c_2Epair_2Epair__CASE @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ( ty_2Eoption_2Eoption @ A_27a ) @ ( ty_2Elist_2Elist @ bool ) ) ) @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) @ V5v )
% 5.66/5.91 @ ( lam @ A_27a
% 5.66/5.91 @ ^ [V6x: $i] :
% 5.66/5.91 ( lam @ ( ty_2Elist_2Elist @ bool )
% 5.66/5.91 @ ^ [V7t_27: $i] : ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Epair_2Eprod @ ( ty_2Eoption_2Eoption @ A_27a ) @ ( ty_2Elist_2Elist @ bool ) ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Eoption_2Eoption @ A_27a ) @ ( ty_2Elist_2Elist @ bool ) ) @ ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V6x ) ) @ V7t_27 ) ) ) ) ) ) ) )
% 5.66/5.91 @ ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Epair_2Eprod @ ( ty_2Eoption_2Eoption @ A_27a ) @ ( ty_2Elist_2Elist @ bool ) ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Eoption_2Eoption @ A_27a ) @ ( ty_2Elist_2Elist @ bool ) ) @ ( c_2Eoption_2ENONE @ A_27a ) ) @ V4t ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(ax_thm_2EDecode_2Edecode__list__def,axiom,
% 5.66/5.91 ! [A_27a: del,V0p: $i] :
% 5.66/5.91 ( ( mem @ V0p @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ bool ) )
% 5.66/5.91 => ! [V1d: $i] :
% 5.66/5.91 ( ( mem @ V1d @ ( arr @ ( ty_2Elist_2Elist @ bool ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) ) ) )
% 5.66/5.91 => ( ( ap @ ( ap @ ( c_2EDecode_2Edecode__list @ A_27a ) @ V0p ) @ V1d )
% 5.66/5.91 = ( ap @ ( ap @ ( c_2EDecode_2Eenc2dec @ ( ty_2Elist_2Elist @ A_27a ) ) @ V0p ) @ ( ap @ ( c_2EEncode_2Eencode__list @ A_27a ) @ ( ap @ ( c_2EDecode_2Edec2enc @ A_27a ) @ V1d ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2EDecode_2Ewf__decode__list,axiom,
% 5.66/5.91 ! [A_27a: del,V0p: $i] :
% 5.66/5.91 ( ( mem @ V0p @ ( arr @ A_27a @ bool ) )
% 5.66/5.91 => ! [V1d: $i] :
% 5.66/5.91 ( ( mem @ V1d @ ( arr @ ( ty_2Elist_2Elist @ bool ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) ) ) )
% 5.66/5.91 => ( ( p @ ( ap @ ( ap @ ( c_2EDecode_2Ewf__decoder @ A_27a ) @ V0p ) @ V1d ) )
% 5.66/5.91 => ( p @ ( ap @ ( ap @ ( c_2EDecode_2Ewf__decoder @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ap @ ( c_2Elist_2EEVERY @ A_27a ) @ V0p ) ) @ ( ap @ ( ap @ ( c_2EDecode_2Edecode__list @ A_27a ) @ ( ap @ ( c_2Elist_2EEVERY @ A_27a ) @ V0p ) ) @ V1d ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2EDecode_2Edec2enc__decode__list,axiom,
% 5.66/5.91 ! [A_27a: del,V0p: $i] :
% 5.66/5.91 ( ( mem @ V0p @ ( arr @ A_27a @ bool ) )
% 5.66/5.91 => ! [V1d: $i] :
% 5.66/5.91 ( ( mem @ V1d @ ( arr @ ( ty_2Elist_2Elist @ bool ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) ) ) )
% 5.66/5.91 => ! [V2x: $i] :
% 5.66/5.91 ( ( mem @ V2x @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.91 => ( ( ( p @ ( ap @ ( ap @ ( c_2EDecode_2Ewf__decoder @ A_27a ) @ V0p ) @ V1d ) )
% 5.66/5.91 & ( p @ ( ap @ ( ap @ ( c_2Elist_2EEVERY @ A_27a ) @ V0p ) @ V2x ) ) )
% 5.66/5.91 => ( ( surj__c_ty_2Elist_2Elist_o @ ( ap @ ( ap @ ( c_2EDecode_2Edec2enc @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ap @ ( ap @ ( c_2EDecode_2Edecode__list @ A_27a ) @ ( ap @ ( c_2Elist_2EEVERY @ A_27a ) @ V0p ) ) @ V1d ) ) @ V2x ) )
% 5.66/5.91 = ( surj__c_ty_2Elist_2Elist_o @ ( ap @ ( ap @ ( c_2EEncode_2Eencode__list @ A_27a ) @ ( ap @ ( c_2EDecode_2Edec2enc @ A_27a ) @ V1d ) ) @ V2x ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2EDecode_2Eencode__then__decode__list,axiom,
% 5.66/5.91 ! [A_27a: del,V0p: $i] :
% 5.66/5.91 ( ( mem @ V0p @ ( arr @ A_27a @ bool ) )
% 5.66/5.91 => ! [V1e: $i] :
% 5.66/5.91 ( ( mem @ V1e @ ( arr @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) )
% 5.66/5.91 => ! [V2l: $i] :
% 5.66/5.91 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.91 => ! [V3t: tp__c_ty_2Elist_2Elist_o] :
% 5.66/5.91 ( ( ( p @ ( ap @ ( ap @ ( c_2EEncode_2Ewf__encoder @ A_27a ) @ V0p ) @ V1e ) )
% 5.66/5.91 & ( p @ ( ap @ ( ap @ ( c_2Elist_2EEVERY @ A_27a ) @ V0p ) @ V2l ) ) )
% 5.66/5.91 => ( ( ap @ ( ap @ ( ap @ ( c_2EDecode_2Edecode__list @ A_27a ) @ ( ap @ ( c_2Elist_2EEVERY @ A_27a ) @ V0p ) ) @ ( ap @ ( ap @ ( c_2EDecode_2Eenc2dec @ A_27a ) @ V0p ) @ V1e ) ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ bool ) @ ( ap @ ( ap @ ( c_2EEncode_2Eencode__list @ A_27a ) @ V1e ) @ V2l ) ) @ ( inj__c_ty_2Elist_2Elist_o @ V3t ) ) )
% 5.66/5.91 = ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ bool ) ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ bool ) ) @ V2l ) @ ( inj__c_ty_2Elist_2Elist_o @ V3t ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2EDecode_2Edecode__list,axiom,
% 5.66/5.91 ! [A_27a: del,V0p: $i] :
% 5.66/5.91 ( ( mem @ V0p @ ( arr @ A_27a @ bool ) )
% 5.66/5.91 => ! [V1d: $i] :
% 5.66/5.91 ( ( mem @ V1d @ ( arr @ ( ty_2Elist_2Elist @ bool ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) ) ) )
% 5.66/5.91 => ! [V2l: tp__c_ty_2Elist_2Elist_o] :
% 5.66/5.91 ( ( p @ ( ap @ ( ap @ ( c_2EDecode_2Ewf__decoder @ A_27a ) @ V0p ) @ V1d ) )
% 5.66/5.91 => ( ( ap @ ( ap @ ( ap @ ( c_2EDecode_2Edecode__list @ A_27a ) @ ( ap @ ( c_2Elist_2EEVERY @ A_27a ) @ V0p ) ) @ V1d ) @ ( inj__c_ty_2Elist_2Elist_o @ V2l ) )
% 5.66/5.91 = ( ap @ ( ap @ ( ap @ ( c_2Elist_2Elist__CASE @ bool @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ bool ) ) ) ) @ ( inj__c_ty_2Elist_2Elist_o @ V2l ) ) @ ( c_2Eoption_2ENONE @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ bool ) ) ) )
% 5.66/5.91 @ ( lam @ bool
% 5.66/5.91 @ ^ [V3v2: $i] :
% 5.66/5.91 ( lam @ ( ty_2Elist_2Elist @ bool )
% 5.66/5.91 @ ^ [V4t: $i] :
% 5.66/5.91 ( ap
% 5.66/5.91 @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ bool ) ) ) ) @ V3v2 )
% 5.66/5.91 @ ( ap @ ( ap @ ( ap @ ( c_2Eoption_2Eoption__CASE @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ bool ) ) ) ) @ ( ap @ V1d @ V4t ) ) @ ( c_2Eoption_2ENONE @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ bool ) ) ) )
% 5.66/5.91 @ ( lam @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Elist_2Elist @ bool ) )
% 5.66/5.91 @ ^ [V5v1: $i] :
% 5.66/5.91 ( ap @ ( ap @ ( c_2Epair_2Epair__CASE @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ bool ) ) ) @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) @ V5v1 )
% 5.66/5.91 @ ( lam @ A_27a
% 5.66/5.91 @ ^ [V6x: $i] :
% 5.66/5.91 ( lam @ ( ty_2Elist_2Elist @ bool )
% 5.66/5.91 @ ^ [V7t_27: $i] :
% 5.66/5.91 ( ap @ ( ap @ ( ap @ ( c_2Eoption_2Eoption__CASE @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ bool ) ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ bool ) ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2EDecode_2Edecode__list @ A_27a ) @ ( ap @ ( c_2Elist_2EEVERY @ A_27a ) @ V0p ) ) @ V1d ) @ V7t_27 ) ) @ ( c_2Eoption_2ENONE @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ bool ) ) ) )
% 5.66/5.91 @ ( lam @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ bool ) )
% 5.66/5.91 @ ^ [V8v: $i] :
% 5.66/5.91 ( ap @ ( ap @ ( c_2Epair_2Epair__CASE @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ bool ) ) ) @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ bool ) ) @ V8v )
% 5.66/5.91 @ ( lam @ ( ty_2Elist_2Elist @ A_27a )
% 5.66/5.91 @ ^ [V9xs: $i] :
% 5.66/5.91 ( lam @ ( ty_2Elist_2Elist @ bool )
% 5.66/5.91 @ ^ [V10t_27_27: $i] : ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ bool ) ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ bool ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V6x ) @ V9xs ) ) @ V10t_27_27 ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.66/5.91 @ ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ bool ) ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ bool ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) @ V4t ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(ax_thm_2EDecode_2Edecode__blist__def,axiom,
% 5.66/5.91 ! [A_27a: del,V0p: $i] :
% 5.66/5.91 ( ( mem @ V0p @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ bool ) )
% 5.66/5.91 => ! [V1m: tp__ty_2Enum_2Enum,V2d: $i] :
% 5.66/5.91 ( ( mem @ V2d @ ( arr @ ( ty_2Elist_2Elist @ bool ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) ) ) )
% 5.66/5.91 => ( ( ap @ ( ap @ ( ap @ ( c_2EDecode_2Edecode__blist @ A_27a ) @ V0p ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ V2d )
% 5.66/5.91 = ( ap @ ( ap @ ( c_2EDecode_2Eenc2dec @ ( ty_2Elist_2Elist @ A_27a ) ) @ V0p ) @ ( ap @ ( ap @ ( c_2EEncode_2Eencode__blist @ bool @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( ap @ ( c_2EDecode_2Edec2enc @ A_27a ) @ V2d ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2EDecode_2Ewf__decode__blist,axiom,
% 5.66/5.91 ! [A_27a: del,V0m: tp__ty_2Enum_2Enum,V1p: $i] :
% 5.66/5.91 ( ( mem @ V1p @ ( arr @ A_27a @ bool ) )
% 5.66/5.91 => ! [V2d: $i] :
% 5.66/5.91 ( ( mem @ V2d @ ( arr @ ( ty_2Elist_2Elist @ bool ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) ) ) )
% 5.66/5.91 => ( ( p @ ( ap @ ( ap @ ( c_2EDecode_2Ewf__decoder @ A_27a ) @ V1p ) @ V2d ) )
% 5.66/5.91 => ( p @ ( ap @ ( ap @ ( c_2EDecode_2Ewf__decoder @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ap @ ( ap @ ( c_2EEncode_2Elift__blist @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ V1p ) ) @ ( ap @ ( ap @ ( ap @ ( c_2EDecode_2Edecode__blist @ A_27a ) @ ( ap @ ( ap @ ( c_2EEncode_2Elift__blist @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ V1p ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ V2d ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2EDecode_2Edec2enc__decode__blist,axiom,
% 5.66/5.91 ! [A_27a: del,V0m: tp__ty_2Enum_2Enum,V1p: $i] :
% 5.66/5.91 ( ( mem @ V1p @ ( arr @ A_27a @ bool ) )
% 5.66/5.91 => ! [V2d: $i] :
% 5.66/5.91 ( ( mem @ V2d @ ( arr @ ( ty_2Elist_2Elist @ bool ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) ) ) )
% 5.66/5.91 => ! [V3l: $i] :
% 5.66/5.91 ( ( mem @ V3l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.91 => ( ( ( p @ ( ap @ ( ap @ ( c_2EDecode_2Ewf__decoder @ A_27a ) @ V1p ) @ V2d ) )
% 5.66/5.91 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2EEncode_2Elift__blist @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ V1p ) @ V3l ) ) )
% 5.66/5.91 => ( ( surj__c_ty_2Elist_2Elist_o @ ( ap @ ( ap @ ( c_2EDecode_2Edec2enc @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ap @ ( ap @ ( ap @ ( c_2EDecode_2Edecode__blist @ A_27a ) @ ( ap @ ( ap @ ( c_2EEncode_2Elift__blist @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ V1p ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ V2d ) ) @ V3l ) )
% 5.66/5.91 = ( surj__c_ty_2Elist_2Elist_o @ ( ap @ ( ap @ ( ap @ ( c_2EEncode_2Eencode__blist @ bool @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( ap @ ( c_2EDecode_2Edec2enc @ A_27a ) @ V2d ) ) @ V3l ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2EDecode_2Eencode__then__decode__blist,axiom,
% 5.66/5.91 ! [A_27a: del,V0m: tp__ty_2Enum_2Enum,V1p: $i] :
% 5.66/5.91 ( ( mem @ V1p @ ( arr @ A_27a @ bool ) )
% 5.66/5.91 => ! [V2e: $i] :
% 5.66/5.91 ( ( mem @ V2e @ ( arr @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) )
% 5.66/5.91 => ! [V3l: $i] :
% 5.66/5.91 ( ( mem @ V3l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.91 => ! [V4t: tp__c_ty_2Elist_2Elist_o] :
% 5.66/5.91 ( ( ( p @ ( ap @ ( ap @ ( c_2EEncode_2Ewf__encoder @ A_27a ) @ V1p ) @ V2e ) )
% 5.66/5.91 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2EEncode_2Elift__blist @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ V1p ) @ V3l ) ) )
% 5.66/5.91 => ( ( ap @ ( ap @ ( ap @ ( ap @ ( c_2EDecode_2Edecode__blist @ A_27a ) @ ( ap @ ( ap @ ( c_2EEncode_2Elift__blist @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ V1p ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( ap @ ( ap @ ( c_2EDecode_2Eenc2dec @ A_27a ) @ V1p ) @ V2e ) ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ bool ) @ ( ap @ ( ap @ ( ap @ ( c_2EEncode_2Eencode__blist @ bool @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ V2e ) @ V3l ) ) @ ( inj__c_ty_2Elist_2Elist_o @ V4t ) ) )
% 5.66/5.91 = ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ bool ) ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ bool ) ) @ V3l ) @ ( inj__c_ty_2Elist_2Elist_o @ V4t ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2EDecode_2Edecode__blist,axiom,
% 5.66/5.91 ! [A_27a: del,V0p: $i] :
% 5.66/5.91 ( ( mem @ V0p @ ( arr @ A_27a @ bool ) )
% 5.66/5.91 => ! [V1d: $i] :
% 5.66/5.91 ( ( mem @ V1d @ ( arr @ ( ty_2Elist_2Elist @ bool ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) ) ) )
% 5.66/5.91 => ! [V2m: tp__ty_2Enum_2Enum,V3l: tp__c_ty_2Elist_2Elist_o] :
% 5.66/5.91 ( ( p @ ( ap @ ( ap @ ( c_2EDecode_2Ewf__decoder @ A_27a ) @ V0p ) @ V1d ) )
% 5.66/5.91 => ( ( ap @ ( ap @ ( ap @ ( ap @ ( c_2EDecode_2Edecode__blist @ A_27a ) @ ( ap @ ( ap @ ( c_2EEncode_2Elift__blist @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V2m ) ) @ V0p ) ) @ ( inj__ty_2Enum_2Enum @ V2m ) ) @ V1d ) @ ( inj__c_ty_2Elist_2Elist_o @ V3l ) )
% 5.66/5.91 = ( ap @ ( ap @ ( ap @ ( c_2Earithmetic_2Enum__CASE @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ bool ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V2m ) ) @ ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ bool ) ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ bool ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) @ ( inj__c_ty_2Elist_2Elist_o @ V3l ) ) ) )
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V4n: $i] :
% 5.66/5.91 ( ap @ ( ap @ ( ap @ ( c_2Eoption_2Eoption__CASE @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ bool ) ) ) ) @ ( ap @ V1d @ ( inj__c_ty_2Elist_2Elist_o @ V3l ) ) ) @ ( c_2Eoption_2ENONE @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ bool ) ) ) )
% 5.66/5.91 @ ( lam @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Elist_2Elist @ bool ) )
% 5.66/5.91 @ ^ [V5v1: $i] :
% 5.66/5.91 ( ap @ ( ap @ ( c_2Epair_2Epair__CASE @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ bool ) ) ) @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) @ V5v1 )
% 5.66/5.91 @ ( lam @ A_27a
% 5.66/5.91 @ ^ [V6x: $i] :
% 5.66/5.91 ( lam @ ( ty_2Elist_2Elist @ bool )
% 5.66/5.91 @ ^ [V7t: $i] :
% 5.66/5.91 ( ap @ ( ap @ ( ap @ ( c_2Eoption_2Eoption__CASE @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ bool ) ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ bool ) ) ) ) @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2EDecode_2Edecode__blist @ A_27a ) @ ( ap @ ( ap @ ( c_2EEncode_2Elift__blist @ A_27a ) @ V4n ) @ V0p ) ) @ V4n ) @ V1d ) @ V7t ) ) @ ( c_2Eoption_2ENONE @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ bool ) ) ) )
% 5.66/5.91 @ ( lam @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ bool ) )
% 5.66/5.91 @ ^ [V8v: $i] :
% 5.66/5.91 ( ap @ ( ap @ ( c_2Epair_2Epair__CASE @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ bool ) ) ) @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ bool ) ) @ V8v )
% 5.66/5.91 @ ( lam @ ( ty_2Elist_2Elist @ A_27a )
% 5.66/5.91 @ ^ [V9xs: $i] :
% 5.66/5.91 ( lam @ ( ty_2Elist_2Elist @ bool )
% 5.66/5.91 @ ^ [V10t_27: $i] : ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ bool ) ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ bool ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V6x ) @ V9xs ) ) @ V10t_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(ax_thm_2EDecode_2Edecode__num__def,axiom,
% 5.66/5.91 ! [V0p: $i] :
% 5.66/5.91 ( ( mem @ V0p @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.91 => ( ( ap @ c_2EDecode_2Edecode__num @ V0p )
% 5.66/5.91 = ( ap @ ( ap @ ( c_2EDecode_2Eenc2dec @ ty_2Enum_2Enum ) @ V0p ) @ c_2EEncode_2Eencode__num ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2EDecode_2Ewf__decode__num,axiom,
% 5.66/5.91 ! [V0p: $i] :
% 5.66/5.91 ( ( mem @ V0p @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.91 => ( p @ ( ap @ ( ap @ ( c_2EDecode_2Ewf__decoder @ ty_2Enum_2Enum ) @ V0p ) @ ( ap @ c_2EDecode_2Edecode__num @ V0p ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2EDecode_2Edec2enc__decode__num,axiom,
% 5.66/5.91 ! [V0p: $i] :
% 5.66/5.91 ( ( mem @ V0p @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.91 => ! [V1x: tp__ty_2Enum_2Enum] :
% 5.66/5.91 ( ( p @ ( ap @ V0p @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.66/5.91 => ( ( surj__c_ty_2Elist_2Elist_o @ ( ap @ ( ap @ ( c_2EDecode_2Edec2enc @ ty_2Enum_2Enum ) @ ( ap @ c_2EDecode_2Edecode__num @ V0p ) ) @ ( inj__ty_2Enum_2Enum @ V1x ) ) )
% 5.66/5.91 = ( surj__c_ty_2Elist_2Elist_o @ ( ap @ c_2EEncode_2Eencode__num @ ( inj__ty_2Enum_2Enum @ V1x ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2EDecode_2Edecode__num__total,axiom,
% 5.66/5.91 ! [V0l: tp__c_ty_2Elist_2Elist_o] :
% 5.66/5.91 ( ( surj__c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Elist_2Elist_o @ ( ap @ ( ap @ c_2EDecode_2Edecode__num @ ( ap @ ( c_2Ecombin_2EK @ bool @ ty_2Enum_2Enum ) @ c_2Ebool_2ET ) ) @ ( inj__c_ty_2Elist_2Elist_o @ V0l ) ) )
% 5.66/5.91 = ( surj__c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Elist_2Elist_o
% 5.66/5.91 @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2Elist__CASE @ bool @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) ) ) @ ( inj__c_ty_2Elist_2Elist_o @ V0l ) ) @ ( c_2Eoption_2ENONE @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) ) )
% 5.66/5.91 @ ( lam @ bool
% 5.66/5.91 @ ^ [V1v4: $i] :
% 5.66/5.91 ( lam @ ( ty_2Elist_2Elist @ bool )
% 5.66/5.91 @ ^ [V2t_27: $i] :
% 5.66/5.91 ( ap
% 5.66/5.91 @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) ) ) @ V1v4 )
% 5.66/5.91 @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2Elist__CASE @ bool @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) ) ) @ V2t_27 ) @ ( c_2Eoption_2ENONE @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) ) )
% 5.66/5.91 @ ( lam @ bool
% 5.66/5.91 @ ^ [V3v8: $i] :
% 5.66/5.91 ( lam @ ( ty_2Elist_2Elist @ bool )
% 5.66/5.91 @ ^ [V4t: $i] :
% 5.66/5.91 ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) ) ) @ V3v8 ) @ ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ V4t ) ) )
% 5.66/5.91 @ ( ap @ ( ap @ ( ap @ ( c_2Eoption_2Eoption__CASE @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) ) ) @ ( ap @ ( ap @ c_2EDecode_2Edecode__num @ ( ap @ ( c_2Ecombin_2EK @ bool @ ty_2Enum_2Enum ) @ c_2Ebool_2ET ) ) @ V4t ) ) @ ( c_2Eoption_2ENONE @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) ) )
% 5.66/5.91 @ ( lam @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) )
% 5.66/5.91 @ ^ [V5v1: $i] :
% 5.66/5.91 ( ap @ ( ap @ ( c_2Epair_2Epair__CASE @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) ) @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) @ V5v1 )
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V6v: $i] :
% 5.66/5.91 ( lam @ ( ty_2Elist_2Elist @ bool )
% 5.66/5.91 @ ^ [V7t_27: $i] : ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ V6v ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ V7t_27 ) ) ) ) ) ) ) ) ) ) ) )
% 5.66/5.91 @ ( ap @ ( ap @ ( ap @ ( c_2Eoption_2Eoption__CASE @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) ) ) @ ( ap @ ( ap @ c_2EDecode_2Edecode__num @ ( ap @ ( c_2Ecombin_2EK @ bool @ ty_2Enum_2Enum ) @ c_2Ebool_2ET ) ) @ V2t_27 ) ) @ ( c_2Eoption_2ENONE @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) ) )
% 5.66/5.91 @ ( lam @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) )
% 5.66/5.91 @ ^ [V8v1: $i] :
% 5.66/5.91 ( ap @ ( ap @ ( c_2Epair_2Epair__CASE @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) ) @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) @ V8v1 )
% 5.66/5.91 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.91 @ ^ [V9v: $i] :
% 5.66/5.91 ( lam @ ( ty_2Elist_2Elist @ bool )
% 5.66/5.91 @ ^ [V10t_27: $i] : ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ V9v ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ V10t_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.91
% 5.66/5.91 thf(conj_thm_2EDecode_2Edecode__num,axiom,
% 5.66/5.91 ! [V0p: $i] :
% 5.66/5.91 ( ( mem @ V0p @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.92 => ! [V1l: tp__c_ty_2Elist_2Elist_o] :
% 5.66/5.92 ( ( surj__c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Elist_2Elist_o @ ( ap @ ( ap @ c_2EDecode_2Edecode__num @ V0p ) @ ( inj__c_ty_2Elist_2Elist_o @ V1l ) ) )
% 5.66/5.92 = ( surj__c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Elist_2Elist_o
% 5.66/5.92 @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2Elist__CASE @ bool @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) ) ) @ ( inj__c_ty_2Elist_2Elist_o @ V1l ) ) @ ( c_2Eoption_2ENONE @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) ) )
% 5.66/5.92 @ ( lam @ bool
% 5.66/5.92 @ ^ [V2v4: $i] :
% 5.66/5.92 ( lam @ ( ty_2Elist_2Elist @ bool )
% 5.66/5.92 @ ^ [V3t_27: $i] :
% 5.66/5.92 ( ap
% 5.66/5.92 @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) ) ) @ V2v4 )
% 5.66/5.92 @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2Elist__CASE @ bool @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) ) ) @ V3t_27 ) @ ( c_2Eoption_2ENONE @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) ) )
% 5.66/5.92 @ ( lam @ bool
% 5.66/5.92 @ ^ [V4v8: $i] :
% 5.66/5.92 ( lam @ ( ty_2Elist_2Elist @ bool )
% 5.66/5.92 @ ^ [V5t: $i] :
% 5.66/5.92 ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) ) ) @ V4v8 ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) ) ) @ ( ap @ V0p @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) @ ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ V5t ) ) ) @ ( c_2Eoption_2ENONE @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) ) ) )
% 5.66/5.92 @ ( ap @ ( ap @ ( ap @ ( c_2Eoption_2Eoption__CASE @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) ) ) @ ( ap @ ( ap @ c_2EDecode_2Edecode__num @ ( ap @ ( c_2Ecombin_2EK @ bool @ ty_2Enum_2Enum ) @ c_2Ebool_2ET ) ) @ V5t ) ) @ ( c_2Eoption_2ENONE @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) ) )
% 5.66/5.92 @ ( lam @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) )
% 5.66/5.92 @ ^ [V6v1: $i] :
% 5.66/5.92 ( ap @ ( ap @ ( c_2Epair_2Epair__CASE @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) ) @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) @ V6v1 )
% 5.66/5.92 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.92 @ ^ [V7v: $i] :
% 5.66/5.92 ( lam @ ( ty_2Elist_2Elist @ bool )
% 5.66/5.92 @ ^ [V8t_27: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) ) ) @ ( ap @ V0p @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ V7v ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ V7v ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ V8t_27 ) ) ) @ ( c_2Eoption_2ENONE @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.66/5.92 @ ( ap @ ( ap @ ( ap @ ( c_2Eoption_2Eoption__CASE @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) ) ) @ ( ap @ ( ap @ c_2EDecode_2Edecode__num @ ( ap @ ( c_2Ecombin_2EK @ bool @ ty_2Enum_2Enum ) @ c_2Ebool_2ET ) ) @ V3t_27 ) ) @ ( c_2Eoption_2ENONE @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) ) )
% 5.66/5.92 @ ( lam @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) )
% 5.66/5.92 @ ^ [V9v1: $i] :
% 5.66/5.92 ( ap @ ( ap @ ( c_2Epair_2Epair__CASE @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) ) @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) @ V9v1 )
% 5.66/5.92 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.92 @ ^ [V10v: $i] :
% 5.66/5.92 ( lam @ ( ty_2Elist_2Elist @ bool )
% 5.66/5.92 @ ^ [V11t_27: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) ) ) @ ( ap @ V0p @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ V10v ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ V10v ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ V11t_27 ) ) ) @ ( c_2Eoption_2ENONE @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(ax_thm_2EDecode_2Edecode__bnum__def,axiom,
% 5.66/5.92 ! [V0m: tp__ty_2Enum_2Enum,V1p: $i] :
% 5.66/5.92 ( ( mem @ V1p @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.92 => ( ( ap @ ( ap @ c_2EDecode_2Edecode__bnum @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ V1p )
% 5.66/5.92 = ( ap @ ( ap @ ( c_2EDecode_2Eenc2dec @ ty_2Enum_2Enum ) @ V1p ) @ ( ap @ c_2EEncode_2Eencode__bnum @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(ax_thm_2EDecode_2Edec__bnum__def,axiom,
% 5.66/5.92 ( ! [V0l: tp__c_ty_2Elist_2Elist_o] :
% 5.66/5.92 ( ( surj__c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Elist_2Elist_o @ ( ap @ ( ap @ c_2EDecode_2Edec__bnum @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__c_ty_2Elist_2Elist_o @ V0l ) ) )
% 5.66/5.92 = ( surj__c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Elist_2Elist_o @ ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__c_ty_2Elist_2Elist_o @ V0l ) ) ) ) )
% 5.66/5.92 & ! [V1m: tp__ty_2Enum_2Enum,V2l: tp__c_ty_2Elist_2Elist_o] :
% 5.66/5.92 ( ( surj__c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Elist_2Elist_o @ ( ap @ ( ap @ c_2EDecode_2Edec__bnum @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) @ ( inj__c_ty_2Elist_2Elist_o @ V2l ) ) )
% 5.66/5.92 = ( surj__c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Elist_2Elist_o
% 5.66/5.92 @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2Elist__CASE @ bool @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) ) ) @ ( inj__c_ty_2Elist_2Elist_o @ V2l ) ) @ ( c_2Eoption_2ENONE @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) ) )
% 5.66/5.92 @ ( lam @ bool
% 5.66/5.92 @ ^ [V3h: $i] :
% 5.66/5.92 ( lam @ ( ty_2Elist_2Elist @ bool )
% 5.66/5.92 @ ^ [V4t: $i] :
% 5.66/5.92 ( ap @ ( ap @ ( ap @ ( c_2Eoption_2Eoption__CASE @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) ) ) @ ( ap @ ( ap @ c_2EDecode_2Edec__bnum @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ V4t ) ) @ ( c_2Eoption_2ENONE @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) ) )
% 5.66/5.92 @ ( lam @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) )
% 5.66/5.92 @ ^ [V5v: $i] :
% 5.66/5.92 ( ap @ ( ap @ ( c_2Epair_2Epair__CASE @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) ) @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) @ V5v )
% 5.66/5.92 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.92 @ ^ [V6n: $i] :
% 5.66/5.92 ( lam @ ( ty_2Elist_2Elist @ bool )
% 5.66/5.92 @ ^ [V7t_27: $i] : ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ V6n ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ V3h ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ) @ V7t_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2EDecode_2Edec__bnum__def__compute,axiom,
% 5.66/5.92 ( ! [V0l: tp__c_ty_2Elist_2Elist_o] :
% 5.66/5.92 ( ( surj__c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Elist_2Elist_o @ ( ap @ ( ap @ c_2EDecode_2Edec__bnum @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__c_ty_2Elist_2Elist_o @ V0l ) ) )
% 5.66/5.92 = ( surj__c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Elist_2Elist_o @ ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__c_ty_2Elist_2Elist_o @ V0l ) ) ) ) )
% 5.66/5.92 & ! [V1m: tp__ty_2Enum_2Enum,V2l: tp__c_ty_2Elist_2Elist_o] :
% 5.66/5.92 ( ( surj__c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Elist_2Elist_o @ ( ap @ ( ap @ c_2EDecode_2Edec__bnum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) ) @ ( inj__c_ty_2Elist_2Elist_o @ V2l ) ) )
% 5.66/5.92 = ( surj__c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Elist_2Elist_o
% 5.66/5.92 @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2Elist__CASE @ bool @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) ) ) @ ( inj__c_ty_2Elist_2Elist_o @ V2l ) ) @ ( c_2Eoption_2ENONE @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) ) )
% 5.66/5.92 @ ( lam @ bool
% 5.66/5.92 @ ^ [V3h: $i] :
% 5.66/5.92 ( lam @ ( ty_2Elist_2Elist @ bool )
% 5.66/5.92 @ ^ [V4t: $i] :
% 5.66/5.92 ( ap @ ( ap @ ( ap @ ( c_2Eoption_2Eoption__CASE @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) ) ) @ ( ap @ ( ap @ c_2EDecode_2Edec__bnum @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ V4t ) ) @ ( c_2Eoption_2ENONE @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) ) )
% 5.66/5.92 @ ( lam @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) )
% 5.66/5.92 @ ^ [V5v: $i] :
% 5.66/5.92 ( ap @ ( ap @ ( c_2Epair_2Epair__CASE @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) ) @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) @ V5v )
% 5.66/5.92 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.92 @ ^ [V6n: $i] :
% 5.66/5.92 ( lam @ ( ty_2Elist_2Elist @ bool )
% 5.66/5.92 @ ^ [V7t_27: $i] : ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ V6n ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ V3h ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ) @ V7t_27 ) ) ) ) ) ) ) ) ) ) ) )
% 5.66/5.92 & ! [V8m: tp__ty_2Enum_2Enum,V9l: tp__c_ty_2Elist_2Elist_o] :
% 5.66/5.92 ( ( surj__c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Elist_2Elist_o @ ( ap @ ( ap @ c_2EDecode_2Edec__bnum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ V8m ) ) ) ) @ ( inj__c_ty_2Elist_2Elist_o @ V9l ) ) )
% 5.66/5.92 = ( surj__c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Elist_2Elist_o
% 5.66/5.92 @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2Elist__CASE @ bool @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) ) ) @ ( inj__c_ty_2Elist_2Elist_o @ V9l ) ) @ ( c_2Eoption_2ENONE @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) ) )
% 5.66/5.92 @ ( lam @ bool
% 5.66/5.92 @ ^ [V10h: $i] :
% 5.66/5.92 ( lam @ ( ty_2Elist_2Elist @ bool )
% 5.66/5.92 @ ^ [V11t: $i] :
% 5.66/5.92 ( ap @ ( ap @ ( ap @ ( c_2Eoption_2Eoption__CASE @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) ) ) @ ( ap @ ( ap @ c_2EDecode_2Edec__bnum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ V8m ) ) ) ) @ V11t ) ) @ ( c_2Eoption_2ENONE @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) ) )
% 5.66/5.92 @ ( lam @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) )
% 5.66/5.92 @ ^ [V12v: $i] :
% 5.66/5.92 ( ap @ ( ap @ ( c_2Epair_2Epair__CASE @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) ) @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) @ V12v )
% 5.66/5.92 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.92 @ ^ [V13n: $i] :
% 5.66/5.92 ( lam @ ( ty_2Elist_2Elist @ bool )
% 5.66/5.92 @ ^ [V14t_27: $i] : ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ V13n ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ V10h ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ) @ V14t_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2EDecode_2Edec__bnum__lt,axiom,
% 5.66/5.92 ! [V0m: tp__ty_2Enum_2Enum,V1l: tp__c_ty_2Elist_2Elist_o,V2n: tp__ty_2Enum_2Enum,V3t: tp__c_ty_2Elist_2Elist_o] :
% 5.66/5.92 ( ( ( surj__c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Elist_2Elist_o @ ( ap @ ( ap @ c_2EDecode_2Edec__bnum @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__c_ty_2Elist_2Elist_o @ V1l ) ) )
% 5.66/5.92 = ( surj__c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Elist_2Elist_o @ ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( inj__c_ty_2Elist_2Elist_o @ V3t ) ) ) ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2EDecode_2Edec__bnum__inj,axiom,
% 5.66/5.92 ! [V0m: tp__ty_2Enum_2Enum,V1l: tp__c_ty_2Elist_2Elist_o,V2n: tp__ty_2Enum_2Enum,V3t: tp__c_ty_2Elist_2Elist_o] :
% 5.66/5.92 ( ( ( surj__c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Elist_2Elist_o @ ( ap @ ( ap @ c_2EDecode_2Edec__bnum @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__c_ty_2Elist_2Elist_o @ V1l ) ) )
% 5.66/5.92 = ( surj__c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Elist_2Elist_o @ ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ ( inj__c_ty_2Elist_2Elist_o @ V3t ) ) ) ) )
% 5.66/5.92 => ( V1l
% 5.66/5.92 = ( surj__c_ty_2Elist_2Elist_o @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ bool ) @ ( ap @ ( ap @ c_2EEncode_2Eencode__bnum @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) @ ( inj__c_ty_2Elist_2Elist_o @ V3t ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2EDecode_2Ewf__decode__bnum,axiom,
% 5.66/5.92 ! [V0m: tp__ty_2Enum_2Enum,V1p: $i] :
% 5.66/5.92 ( ( mem @ V1p @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.92 => ( ( p @ ( ap @ ( ap @ c_2EEncode_2Ewf__pred__bnum @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ V1p ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( c_2EDecode_2Ewf__decoder @ ty_2Enum_2Enum ) @ V1p ) @ ( ap @ ( ap @ c_2EDecode_2Edecode__bnum @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ V1p ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2EDecode_2Edec2enc__decode__bnum,axiom,
% 5.66/5.92 ! [V0m: tp__ty_2Enum_2Enum,V1p: $i] :
% 5.66/5.92 ( ( mem @ V1p @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.92 => ! [V2x: tp__ty_2Enum_2Enum] :
% 5.66/5.92 ( ( ( p @ ( ap @ ( ap @ c_2EEncode_2Ewf__pred__bnum @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ V1p ) )
% 5.66/5.92 & ( p @ ( ap @ V1p @ ( inj__ty_2Enum_2Enum @ V2x ) ) ) )
% 5.66/5.92 => ( ( surj__c_ty_2Elist_2Elist_o @ ( ap @ ( ap @ ( c_2EDecode_2Edec2enc @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ c_2EDecode_2Edecode__bnum @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ V1p ) ) @ ( inj__ty_2Enum_2Enum @ V2x ) ) )
% 5.66/5.92 = ( surj__c_ty_2Elist_2Elist_o @ ( ap @ ( ap @ c_2EEncode_2Eencode__bnum @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V2x ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2EDecode_2Edecode__bnum,axiom,
% 5.66/5.92 ! [V0m: tp__ty_2Enum_2Enum,V1p: $i] :
% 5.66/5.92 ( ( mem @ V1p @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.92 => ! [V2l: tp__c_ty_2Elist_2Elist_o] :
% 5.66/5.92 ( ( p @ ( ap @ ( ap @ c_2EEncode_2Ewf__pred__bnum @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ V1p ) )
% 5.66/5.92 => ( ( surj__c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Elist_2Elist_o @ ( ap @ ( ap @ ( ap @ c_2EDecode_2Edecode__bnum @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ V1p ) @ ( inj__c_ty_2Elist_2Elist_o @ V2l ) ) )
% 5.66/5.92 = ( surj__c_ty_2Eoption_2Eoption_c_ty_2Epair_2Eprod_ty_2Enum_2Enum_c_ty_2Elist_2Elist_o
% 5.66/5.92 @ ( ap @ ( ap @ ( ap @ ( c_2Eoption_2Eoption__CASE @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) ) ) @ ( ap @ ( ap @ c_2EDecode_2Edec__bnum @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__c_ty_2Elist_2Elist_o @ V2l ) ) ) @ ( c_2Eoption_2ENONE @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) ) )
% 5.66/5.92 @ ( lam @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) )
% 5.66/5.92 @ ^ [V3v: $i] :
% 5.66/5.92 ( ap @ ( ap @ ( c_2Epair_2Epair__CASE @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) ) @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) @ V3v )
% 5.66/5.92 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.92 @ ^ [V4n: $i] :
% 5.66/5.92 ( lam @ ( ty_2Elist_2Elist @ bool )
% 5.66/5.92 @ ^ [V5t: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) ) ) @ ( ap @ V1p @ V4n ) ) @ ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) @ V4n ) @ V5t ) ) ) @ ( c_2Eoption_2ENONE @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ bool ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(ax_thm_2EDecode_2Edecode__tree__def,axiom,
% 5.66/5.92 ! [A_27a: del,V0p: $i] :
% 5.66/5.92 ( ( mem @ V0p @ ( arr @ ( ty_2EEncode_2Etree @ A_27a ) @ bool ) )
% 5.66/5.92 => ! [V1d: $i] :
% 5.66/5.92 ( ( mem @ V1d @ ( arr @ ( ty_2Elist_2Elist @ bool ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) ) ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( c_2EDecode_2Edecode__tree @ A_27a ) @ V0p ) @ V1d )
% 5.66/5.92 = ( ap @ ( ap @ ( c_2EDecode_2Eenc2dec @ ( ty_2EEncode_2Etree @ A_27a ) ) @ V0p ) @ ( ap @ ( c_2EEncode_2Eencode__tree @ A_27a ) @ ( ap @ ( c_2EDecode_2Edec2enc @ A_27a ) @ V1d ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2EDecode_2Ewf__decode__tree,axiom,
% 5.66/5.92 ! [A_27a: del,V0p: $i] :
% 5.66/5.92 ( ( mem @ V0p @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ! [V1d: $i] :
% 5.66/5.92 ( ( mem @ V1d @ ( arr @ ( ty_2Elist_2Elist @ bool ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) ) ) )
% 5.66/5.92 => ( ( p @ ( ap @ ( ap @ ( c_2EDecode_2Ewf__decoder @ A_27a ) @ V0p ) @ V1d ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( c_2EDecode_2Ewf__decoder @ ( ty_2EEncode_2Etree @ A_27a ) ) @ ( ap @ ( c_2EEncode_2Elift__tree @ A_27a ) @ V0p ) ) @ ( ap @ ( ap @ ( c_2EDecode_2Edecode__tree @ A_27a ) @ ( ap @ ( c_2EEncode_2Elift__tree @ A_27a ) @ V0p ) ) @ V1d ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2EDecode_2Edecode__tree,axiom,
% 5.66/5.92 ! [A_27a: del,V0p: $i] :
% 5.66/5.92 ( ( mem @ V0p @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ! [V1d: $i] :
% 5.66/5.92 ( ( mem @ V1d @ ( arr @ ( ty_2Elist_2Elist @ bool ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) ) ) )
% 5.66/5.92 => ! [V2l: tp__c_ty_2Elist_2Elist_o] :
% 5.66/5.92 ( ( p @ ( ap @ ( ap @ ( c_2EDecode_2Ewf__decoder @ A_27a ) @ V0p ) @ V1d ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( ap @ ( c_2EDecode_2Edecode__tree @ A_27a ) @ ( ap @ ( c_2EEncode_2Elift__tree @ A_27a ) @ V0p ) ) @ V1d ) @ ( inj__c_ty_2Elist_2Elist_o @ V2l ) )
% 5.66/5.92 = ( ap @ ( ap @ ( ap @ ( c_2Eoption_2Eoption__CASE @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ( ty_2EEncode_2Etree @ A_27a ) @ ( ty_2Elist_2Elist @ bool ) ) ) ) @ ( ap @ V1d @ ( inj__c_ty_2Elist_2Elist_o @ V2l ) ) ) @ ( c_2Eoption_2ENONE @ ( ty_2Epair_2Eprod @ ( ty_2EEncode_2Etree @ A_27a ) @ ( ty_2Elist_2Elist @ bool ) ) ) )
% 5.66/5.92 @ ( lam @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Elist_2Elist @ bool ) )
% 5.66/5.92 @ ^ [V3v1: $i] :
% 5.66/5.92 ( ap @ ( ap @ ( c_2Epair_2Epair__CASE @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ( ty_2EEncode_2Etree @ A_27a ) @ ( ty_2Elist_2Elist @ bool ) ) ) @ A_27a @ ( ty_2Elist_2Elist @ bool ) ) @ V3v1 )
% 5.66/5.92 @ ( lam @ A_27a
% 5.66/5.92 @ ^ [V4a: $i] :
% 5.66/5.92 ( lam @ ( ty_2Elist_2Elist @ bool )
% 5.66/5.92 @ ^ [V5t: $i] :
% 5.66/5.92 ( ap @ ( ap @ ( ap @ ( c_2Eoption_2Eoption__CASE @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ ( ty_2EEncode_2Etree @ A_27a ) ) @ ( ty_2Elist_2Elist @ bool ) ) @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ( ty_2EEncode_2Etree @ A_27a ) @ ( ty_2Elist_2Elist @ bool ) ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2EDecode_2Edecode__list @ ( ty_2EEncode_2Etree @ A_27a ) ) @ ( ap @ ( c_2Elist_2EEVERY @ ( ty_2EEncode_2Etree @ A_27a ) ) @ ( ap @ ( c_2EEncode_2Elift__tree @ A_27a ) @ V0p ) ) ) @ ( ap @ ( ap @ ( c_2EDecode_2Edecode__tree @ A_27a ) @ ( ap @ ( c_2EEncode_2Elift__tree @ A_27a ) @ V0p ) ) @ V1d ) ) @ V5t ) ) @ ( c_2Eoption_2ENONE @ ( ty_2Epair_2Eprod @ ( ty_2EEncode_2Etree @ A_27a ) @ ( ty_2Elist_2Elist @ bool ) ) ) )
% 5.66/5.92 @ ( lam @ ( ty_2Epair_2Eprod @ ( ty_2Elist_2Elist @ ( ty_2EEncode_2Etree @ A_27a ) ) @ ( ty_2Elist_2Elist @ bool ) )
% 5.66/5.92 @ ^ [V6v: $i] :
% 5.66/5.92 ( ap @ ( ap @ ( c_2Epair_2Epair__CASE @ ( ty_2Eoption_2Eoption @ ( ty_2Epair_2Eprod @ ( ty_2EEncode_2Etree @ A_27a ) @ ( ty_2Elist_2Elist @ bool ) ) ) @ ( ty_2Elist_2Elist @ ( ty_2EEncode_2Etree @ A_27a ) ) @ ( ty_2Elist_2Elist @ bool ) ) @ V6v )
% 5.66/5.92 @ ( lam @ ( ty_2Elist_2Elist @ ( ty_2EEncode_2Etree @ A_27a ) )
% 5.66/5.92 @ ^ [V7ts: $i] :
% 5.66/5.92 ( lam @ ( ty_2Elist_2Elist @ bool )
% 5.66/5.92 @ ^ [V8t_27: $i] : ( ap @ ( c_2Eoption_2ESOME @ ( ty_2Epair_2Eprod @ ( ty_2EEncode_2Etree @ A_27a ) @ ( ty_2Elist_2Elist @ bool ) ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2EEncode_2Etree @ A_27a ) @ ( ty_2Elist_2Elist @ bool ) ) @ ( ap @ ( ap @ ( c_2EEncode_2ENode @ A_27a ) @ V4a ) @ V7ts ) ) @ V8t_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 %------------------------------------------------------------------------------
% 5.66/5.92 %------------------------------------------------------------------------------
% 5.66/5.92 thf(tp_c_2Emergesort_2Emerge,type,
% 5.66/5.92 c_2Emergesort_2Emerge: del > $i ).
% 5.66/5.92
% 5.66/5.92 thf(mem_c_2Emergesort_2Emerge,axiom,
% 5.66/5.92 ! [A_27a: del] : ( mem @ ( c_2Emergesort_2Emerge @ A_27a ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(tp_c_2Emergesort_2Emerge__tail,type,
% 5.66/5.92 c_2Emergesort_2Emerge__tail: del > $i ).
% 5.66/5.92
% 5.66/5.92 thf(mem_c_2Emergesort_2Emerge__tail,axiom,
% 5.66/5.92 ! [A_27a: del] : ( mem @ ( c_2Emergesort_2Emerge__tail @ A_27a ) @ ( arr @ bool @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(tp_c_2Emergesort_2Emergesort,type,
% 5.66/5.92 c_2Emergesort_2Emergesort: del > $i ).
% 5.66/5.92
% 5.66/5.92 thf(mem_c_2Emergesort_2Emergesort,axiom,
% 5.66/5.92 ! [A_27a: del] : ( mem @ ( c_2Emergesort_2Emergesort @ A_27a ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(tp_c_2Emergesort_2EmergesortN,type,
% 5.66/5.92 c_2Emergesort_2EmergesortN: del > $i ).
% 5.66/5.92
% 5.66/5.92 thf(mem_c_2Emergesort_2EmergesortN,axiom,
% 5.66/5.92 ! [A_27a: del] : ( mem @ ( c_2Emergesort_2EmergesortN @ A_27a ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) @ ( arr @ ty_2Enum_2Enum @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(tp_c_2Emergesort_2EmergesortN__tail,type,
% 5.66/5.92 c_2Emergesort_2EmergesortN__tail: del > $i ).
% 5.66/5.92
% 5.66/5.92 thf(mem_c_2Emergesort_2EmergesortN__tail,axiom,
% 5.66/5.92 ! [A_27a: del] : ( mem @ ( c_2Emergesort_2EmergesortN__tail @ A_27a ) @ ( arr @ bool @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) @ ( arr @ ty_2Enum_2Enum @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(tp_c_2Emergesort_2Emergesort__tail,type,
% 5.66/5.92 c_2Emergesort_2Emergesort__tail: del > $i ).
% 5.66/5.92
% 5.66/5.92 thf(mem_c_2Emergesort_2Emergesort__tail,axiom,
% 5.66/5.92 ! [A_27a: del] : ( mem @ ( c_2Emergesort_2Emergesort__tail @ A_27a ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(tp_c_2Emergesort_2Esort2,type,
% 5.66/5.92 c_2Emergesort_2Esort2: del > $i ).
% 5.66/5.92
% 5.66/5.92 thf(mem_c_2Emergesort_2Esort2,axiom,
% 5.66/5.92 ! [A_27a: del] : ( mem @ ( c_2Emergesort_2Esort2 @ A_27a ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ ( ty_2Elist_2Elist @ A_27a ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(tp_c_2Emergesort_2Esort2__tail,type,
% 5.66/5.92 c_2Emergesort_2Esort2__tail: del > $i ).
% 5.66/5.92
% 5.66/5.92 thf(mem_c_2Emergesort_2Esort2__tail,axiom,
% 5.66/5.92 ! [A_27a: del] : ( mem @ ( c_2Emergesort_2Esort2__tail @ A_27a ) @ ( arr @ bool @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ ( ty_2Elist_2Elist @ A_27a ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(tp_c_2Emergesort_2Esort3,type,
% 5.66/5.92 c_2Emergesort_2Esort3: del > $i ).
% 5.66/5.92
% 5.66/5.92 thf(mem_c_2Emergesort_2Esort3,axiom,
% 5.66/5.92 ! [A_27a: del] : ( mem @ ( c_2Emergesort_2Esort3 @ A_27a ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ ( arr @ A_27a @ ( ty_2Elist_2Elist @ A_27a ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(tp_c_2Emergesort_2Esort3__tail,type,
% 5.66/5.92 c_2Emergesort_2Esort3__tail: del > $i ).
% 5.66/5.92
% 5.66/5.92 thf(mem_c_2Emergesort_2Esort3__tail,axiom,
% 5.66/5.92 ! [A_27a: del] : ( mem @ ( c_2Emergesort_2Esort3__tail @ A_27a ) @ ( arr @ bool @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ ( arr @ A_27a @ ( ty_2Elist_2Elist @ A_27a ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(tp_c_2Emergesort_2Estable,type,
% 5.66/5.92 c_2Emergesort_2Estable: del > $i ).
% 5.66/5.92
% 5.66/5.92 thf(mem_c_2Emergesort_2Estable,axiom,
% 5.66/5.92 ! [A_27a: del] : ( mem @ ( c_2Emergesort_2Estable @ A_27a ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ bool ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(ax_thm_2Emergesort_2Estable__def,axiom,
% 5.66/5.92 ! [A_27a: del,V0R: $i] :
% 5.66/5.92 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ! [V1l1: $i] :
% 5.66/5.92 ( ( mem @ V1l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.92 => ! [V2l2: $i] :
% 5.66/5.92 ( ( mem @ V2l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.92 => ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2Estable @ A_27a ) @ V0R ) @ V1l1 ) @ V2l2 ) )
% 5.66/5.92 <=> ! [V3p: $i] :
% 5.66/5.92 ( ( mem @ V3p @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ( ! [V4x: $i] :
% 5.66/5.92 ( ( mem @ V4x @ A_27a )
% 5.66/5.92 => ! [V5y: $i] :
% 5.66/5.92 ( ( mem @ V5y @ A_27a )
% 5.66/5.92 => ( ( ( p @ ( ap @ V3p @ V4x ) )
% 5.66/5.92 & ( p @ ( ap @ V3p @ V5y ) ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ V0R @ V4x ) @ V5y ) ) ) ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( c_2Elist_2EFILTER @ A_27a ) @ V3p ) @ V1l1 )
% 5.66/5.92 = ( ap @ ( ap @ ( c_2Elist_2EFILTER @ A_27a ) @ V3p ) @ V2l2 ) ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(ax_thm_2Emergesort_2Esort2__def,axiom,
% 5.66/5.92 ! [A_27a: del,V0R: $i] :
% 5.66/5.92 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ! [V1x: $i] :
% 5.66/5.92 ( ( mem @ V1x @ A_27a )
% 5.66/5.92 => ! [V2y: $i] :
% 5.66/5.92 ( ( mem @ V2y @ A_27a )
% 5.66/5.92 => ( ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2Esort2 @ A_27a ) @ V0R ) @ V1x ) @ V2y )
% 5.66/5.92 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ap @ ( ap @ V0R @ V1x ) @ V2y ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1x ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2y ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2y ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1x ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(ax_thm_2Emergesort_2Esort3__def,axiom,
% 5.66/5.92 ! [A_27a: del,V0R: $i] :
% 5.66/5.92 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ! [V1x: $i] :
% 5.66/5.92 ( ( mem @ V1x @ A_27a )
% 5.66/5.92 => ! [V2y: $i] :
% 5.66/5.92 ( ( mem @ V2y @ A_27a )
% 5.66/5.92 => ! [V3z: $i] :
% 5.66/5.92 ( ( mem @ V3z @ A_27a )
% 5.66/5.92 => ( ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2Esort3 @ A_27a ) @ V0R ) @ V1x ) @ V2y ) @ V3z )
% 5.66/5.92 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ap @ ( ap @ V0R @ V1x ) @ V2y ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ap @ ( ap @ V0R @ V2y ) @ V3z ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1x ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2y ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3z ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ap @ ( ap @ V0R @ V1x ) @ V3z ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1x ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3z ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2y ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3z ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1x ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2y ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ap @ ( ap @ V0R @ V2y ) @ V3z ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ap @ ( ap @ V0R @ V1x ) @ V3z ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2y ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1x ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3z ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2y ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3z ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1x ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3z ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2y ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1x ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Emergesort_2Emerge__ind,axiom,
% 5.66/5.92 ! [A_27a: del,V0P: $i] :
% 5.66/5.92 ( ( mem @ V0P @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ bool ) ) ) )
% 5.66/5.92 => ( ( ! [V1R: $i] :
% 5.66/5.92 ( ( mem @ V1R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( ap @ V0P @ V1R ) @ ( c_2Elist_2ENIL @ A_27a ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) )
% 5.66/5.92 & ! [V2R: $i] :
% 5.66/5.92 ( ( mem @ V2R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ! [V3v8: $i] :
% 5.66/5.92 ( ( mem @ V3v8 @ A_27a )
% 5.66/5.92 => ! [V4v9: $i] :
% 5.66/5.92 ( ( mem @ V4v9 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( ap @ V0P @ V2R ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3v8 ) @ V4v9 ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) )
% 5.66/5.92 & ! [V5R: $i] :
% 5.66/5.92 ( ( mem @ V5R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ! [V6v4: $i] :
% 5.66/5.92 ( ( mem @ V6v4 @ A_27a )
% 5.66/5.92 => ! [V7v5: $i] :
% 5.66/5.92 ( ( mem @ V7v5 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( ap @ V0P @ V5R ) @ ( c_2Elist_2ENIL @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V6v4 ) @ V7v5 ) ) ) ) ) )
% 5.66/5.92 & ! [V8R: $i] :
% 5.66/5.92 ( ( mem @ V8R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ! [V9x: $i] :
% 5.66/5.92 ( ( mem @ V9x @ A_27a )
% 5.66/5.92 => ! [V10l1: $i] :
% 5.66/5.92 ( ( mem @ V10l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.92 => ! [V11y: $i] :
% 5.66/5.92 ( ( mem @ V11y @ A_27a )
% 5.66/5.92 => ! [V12l2: $i] :
% 5.66/5.92 ( ( mem @ V12l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.92 => ( ( ( ~ ( p @ ( ap @ ( ap @ V8R @ V9x ) @ V11y ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( ap @ V0P @ V8R ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V9x ) @ V10l1 ) ) @ V12l2 ) ) )
% 5.66/5.92 & ( ( p @ ( ap @ ( ap @ V8R @ V9x ) @ V11y ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( ap @ V0P @ V8R ) @ V10l1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V11y ) @ V12l2 ) ) ) ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( ap @ V0P @ V8R ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V9x ) @ V10l1 ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V11y ) @ V12l2 ) ) ) ) ) ) ) ) ) )
% 5.66/5.92 => ! [V13v: $i] :
% 5.66/5.92 ( ( mem @ V13v @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ! [V14v1: $i] :
% 5.66/5.92 ( ( mem @ V14v1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.92 => ! [V15v2: $i] :
% 5.66/5.92 ( ( mem @ V15v2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( ap @ V0P @ V13v ) @ V14v1 ) @ V15v2 ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Emergesort_2Emerge__def,axiom,
% 5.66/5.92 ! [A_27a: del] :
% 5.66/5.92 ( ! [V0R: $i] :
% 5.66/5.92 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2Emerge @ A_27a ) @ V0R ) @ ( c_2Elist_2ENIL @ A_27a ) ) @ ( c_2Elist_2ENIL @ A_27a ) )
% 5.66/5.92 = ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.66/5.92 & ! [V1v9: $i] :
% 5.66/5.92 ( ( mem @ V1v9 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.92 => ! [V2v8: $i] :
% 5.66/5.92 ( ( mem @ V2v8 @ A_27a )
% 5.66/5.92 => ! [V3R: $i] :
% 5.66/5.92 ( ( mem @ V3R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2Emerge @ A_27a ) @ V3R ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2v8 ) @ V1v9 ) ) @ ( c_2Elist_2ENIL @ A_27a ) )
% 5.66/5.92 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2v8 ) @ V1v9 ) ) ) ) )
% 5.66/5.92 & ! [V4v5: $i] :
% 5.66/5.92 ( ( mem @ V4v5 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.92 => ! [V5v4: $i] :
% 5.66/5.92 ( ( mem @ V5v4 @ A_27a )
% 5.66/5.92 => ! [V6R: $i] :
% 5.66/5.92 ( ( mem @ V6R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2Emerge @ A_27a ) @ V6R ) @ ( c_2Elist_2ENIL @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V5v4 ) @ V4v5 ) )
% 5.66/5.92 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V5v4 ) @ V4v5 ) ) ) ) )
% 5.66/5.92 & ! [V7y: $i] :
% 5.66/5.92 ( ( mem @ V7y @ A_27a )
% 5.66/5.92 => ! [V8x: $i] :
% 5.66/5.92 ( ( mem @ V8x @ A_27a )
% 5.66/5.92 => ! [V9l2: $i] :
% 5.66/5.92 ( ( mem @ V9l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.92 => ! [V10l1: $i] :
% 5.66/5.92 ( ( mem @ V10l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.92 => ! [V11R: $i] :
% 5.66/5.92 ( ( mem @ V11R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2Emerge @ A_27a ) @ V11R ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V8x ) @ V10l1 ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V7y ) @ V9l2 ) )
% 5.66/5.92 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ap @ ( ap @ V11R @ V8x ) @ V7y ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V8x ) @ ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2Emerge @ A_27a ) @ V11R ) @ V10l1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V7y ) @ V9l2 ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V7y ) @ ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2Emerge @ A_27a ) @ V11R ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V8x ) @ V10l1 ) ) @ V9l2 ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Emergesort_2EmergesortN__ind,axiom,
% 5.66/5.92 ! [A_27a: del,V0P: $i] :
% 5.66/5.92 ( ( mem @ V0P @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) @ ( arr @ ty_2Enum_2Enum @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ bool ) ) ) )
% 5.66/5.92 => ( ( ! [V1R: $i] :
% 5.66/5.92 ( ( mem @ V1R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ! [V2l: $i] :
% 5.66/5.92 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( ap @ V0P @ V1R ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ V2l ) ) ) )
% 5.66/5.92 & ! [V3R: $i] :
% 5.66/5.92 ( ( mem @ V3R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ! [V4x: $i] :
% 5.66/5.92 ( ( mem @ V4x @ A_27a )
% 5.66/5.92 => ! [V5l: $i] :
% 5.66/5.92 ( ( mem @ V5l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( ap @ V0P @ V3R ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4x ) @ V5l ) ) ) ) ) )
% 5.66/5.92 & ! [V6R: $i] :
% 5.66/5.92 ( ( mem @ V6R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( ap @ V0P @ V6R ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) )
% 5.66/5.92 & ! [V7R: $i] :
% 5.66/5.92 ( ( mem @ V7R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ! [V8x: $i] :
% 5.66/5.92 ( ( mem @ V8x @ A_27a )
% 5.66/5.92 => ! [V9y: $i] :
% 5.66/5.92 ( ( mem @ V9y @ A_27a )
% 5.66/5.92 => ! [V10l: $i] :
% 5.66/5.92 ( ( mem @ V10l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( ap @ V0P @ V7R ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V8x ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V9y ) @ V10l ) ) ) ) ) ) ) )
% 5.66/5.92 & ! [V11R: $i] :
% 5.66/5.92 ( ( mem @ V11R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ! [V12x: $i] :
% 5.66/5.92 ( ( mem @ V12x @ A_27a )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( ap @ V0P @ V11R ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V12x ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) )
% 5.66/5.92 & ! [V13R: $i] :
% 5.66/5.92 ( ( mem @ V13R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( ap @ V0P @ V13R ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) )
% 5.66/5.92 & ! [V14R: $i] :
% 5.66/5.92 ( ( mem @ V14R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ! [V15x: $i] :
% 5.66/5.92 ( ( mem @ V15x @ A_27a )
% 5.66/5.92 => ! [V16y: $i] :
% 5.66/5.92 ( ( mem @ V16y @ A_27a )
% 5.66/5.92 => ! [V17z: $i] :
% 5.66/5.92 ( ( mem @ V17z @ A_27a )
% 5.66/5.92 => ! [V18l: $i] :
% 5.66/5.92 ( ( mem @ V18l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( ap @ V0P @ V14R ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V15x ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V16y ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V17z ) @ V18l ) ) ) ) ) ) ) ) ) )
% 5.66/5.92 & ! [V19R: $i] :
% 5.66/5.92 ( ( mem @ V19R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ! [V20x: $i] :
% 5.66/5.92 ( ( mem @ V20x @ A_27a )
% 5.66/5.92 => ! [V21y: $i] :
% 5.66/5.92 ( ( mem @ V21y @ A_27a )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( ap @ V0P @ V19R ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V20x ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V21y ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) )
% 5.66/5.92 & ! [V22R: $i] :
% 5.66/5.92 ( ( mem @ V22R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ! [V23x: $i] :
% 5.66/5.92 ( ( mem @ V23x @ A_27a )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( ap @ V0P @ V22R ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V23x ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) )
% 5.66/5.92 & ! [V24R: $i] :
% 5.66/5.92 ( ( mem @ V24R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( ap @ V0P @ V24R ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) )
% 5.66/5.92 & ! [V25R: $i] :
% 5.66/5.92 ( ( mem @ V25R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ! [V26v4: tp__ty_2Enum_2Enum,V27l: $i] :
% 5.66/5.92 ( ( mem @ V27l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.92 => ( ( ! [V28len1: tp__ty_2Enum_2Enum] :
% 5.66/5.92 ( ( ( V26v4 != fo__c_2Enum_2E0 )
% 5.66/5.92 & ( V26v4
% 5.66/5.92 != ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.66/5.92 & ( V26v4
% 5.66/5.92 != ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.66/5.92 & ( V26v4
% 5.66/5.92 != ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.66/5.92 & ( V28len1
% 5.66/5.92 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2EDIV2 @ ( inj__ty_2Enum_2Enum @ V26v4 ) ) ) ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( ap @ V0P @ V25R ) @ ( ap @ c_2Earithmetic_2EDIV2 @ ( inj__ty_2Enum_2Enum @ V26v4 ) ) ) @ V27l ) ) )
% 5.66/5.92 & ! [V29len1: tp__ty_2Enum_2Enum] :
% 5.66/5.92 ( ( ( V26v4 != fo__c_2Enum_2E0 )
% 5.66/5.92 & ( V26v4
% 5.66/5.92 != ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.66/5.92 & ( V26v4
% 5.66/5.92 != ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.66/5.92 & ( V26v4
% 5.66/5.92 != ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.66/5.92 & ( V29len1
% 5.66/5.92 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2EDIV2 @ ( inj__ty_2Enum_2Enum @ V26v4 ) ) ) ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( ap @ V0P @ V25R ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V26v4 ) ) @ ( inj__ty_2Enum_2Enum @ V29len1 ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2EDROP @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V29len1 ) ) @ V27l ) ) ) ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( ap @ V0P @ V25R ) @ ( inj__ty_2Enum_2Enum @ V26v4 ) ) @ V27l ) ) ) ) ) )
% 5.66/5.92 => ! [V30v: $i] :
% 5.66/5.92 ( ( mem @ V30v @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ! [V31v1: tp__ty_2Enum_2Enum,V32v2: $i] :
% 5.66/5.92 ( ( mem @ V32v2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( ap @ V0P @ V30v ) @ ( inj__ty_2Enum_2Enum @ V31v1 ) ) @ V32v2 ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Emergesort_2EmergesortN__def,axiom,
% 5.66/5.92 ! [A_27a: del] :
% 5.66/5.92 ( ! [V0l: $i] :
% 5.66/5.92 ( ( mem @ V0l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.92 => ! [V1R: $i] :
% 5.66/5.92 ( ( mem @ V1R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2EmergesortN @ A_27a ) @ V1R ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ V0l )
% 5.66/5.92 = ( c_2Elist_2ENIL @ A_27a ) ) ) )
% 5.66/5.92 & ! [V2x: $i] :
% 5.66/5.92 ( ( mem @ V2x @ A_27a )
% 5.66/5.92 => ! [V3l: $i] :
% 5.66/5.92 ( ( mem @ V3l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.92 => ! [V4R: $i] :
% 5.66/5.92 ( ( mem @ V4R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2EmergesortN @ A_27a ) @ V4R ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2x ) @ V3l ) )
% 5.66/5.92 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2x ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) )
% 5.66/5.92 & ! [V5R: $i] :
% 5.66/5.92 ( ( mem @ V5R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2EmergesortN @ A_27a ) @ V5R ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( c_2Elist_2ENIL @ A_27a ) )
% 5.66/5.92 = ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.66/5.92 & ! [V6y: $i] :
% 5.66/5.92 ( ( mem @ V6y @ A_27a )
% 5.66/5.92 => ! [V7x: $i] :
% 5.66/5.92 ( ( mem @ V7x @ A_27a )
% 5.66/5.92 => ! [V8l: $i] :
% 5.66/5.92 ( ( mem @ V8l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.92 => ! [V9R: $i] :
% 5.66/5.92 ( ( mem @ V9R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2EmergesortN @ A_27a ) @ V9R ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V7x ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V6y ) @ V8l ) ) )
% 5.66/5.92 = ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2Esort2 @ A_27a ) @ V9R ) @ V7x ) @ V6y ) ) ) ) ) )
% 5.66/5.92 & ! [V10x: $i] :
% 5.66/5.92 ( ( mem @ V10x @ A_27a )
% 5.66/5.92 => ! [V11R: $i] :
% 5.66/5.92 ( ( mem @ V11R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2EmergesortN @ A_27a ) @ V11R ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V10x ) @ ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.66/5.92 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V10x ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) )
% 5.66/5.92 & ! [V12R: $i] :
% 5.66/5.92 ( ( mem @ V12R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2EmergesortN @ A_27a ) @ V12R ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( c_2Elist_2ENIL @ A_27a ) )
% 5.66/5.92 = ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.66/5.92 & ! [V13z: $i] :
% 5.66/5.92 ( ( mem @ V13z @ A_27a )
% 5.66/5.92 => ! [V14y: $i] :
% 5.66/5.92 ( ( mem @ V14y @ A_27a )
% 5.66/5.92 => ! [V15x: $i] :
% 5.66/5.92 ( ( mem @ V15x @ A_27a )
% 5.66/5.92 => ! [V16l: $i] :
% 5.66/5.92 ( ( mem @ V16l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.92 => ! [V17R: $i] :
% 5.66/5.92 ( ( mem @ V17R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2EmergesortN @ A_27a ) @ V17R ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V15x ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V14y ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V13z ) @ V16l ) ) ) )
% 5.66/5.92 = ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2Esort3 @ A_27a ) @ V17R ) @ V15x ) @ V14y ) @ V13z ) ) ) ) ) ) )
% 5.66/5.92 & ! [V18y: $i] :
% 5.66/5.92 ( ( mem @ V18y @ A_27a )
% 5.66/5.92 => ! [V19x: $i] :
% 5.66/5.92 ( ( mem @ V19x @ A_27a )
% 5.66/5.92 => ! [V20R: $i] :
% 5.66/5.92 ( ( mem @ V20R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2EmergesortN @ A_27a ) @ V20R ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V19x ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V18y ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) )
% 5.66/5.92 = ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2Esort2 @ A_27a ) @ V20R ) @ V19x ) @ V18y ) ) ) ) )
% 5.66/5.92 & ! [V21x: $i] :
% 5.66/5.92 ( ( mem @ V21x @ A_27a )
% 5.66/5.92 => ! [V22R: $i] :
% 5.66/5.92 ( ( mem @ V22R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2EmergesortN @ A_27a ) @ V22R ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V21x ) @ ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.66/5.92 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V21x ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) )
% 5.66/5.92 & ! [V23R: $i] :
% 5.66/5.92 ( ( mem @ V23R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2EmergesortN @ A_27a ) @ V23R ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( c_2Elist_2ENIL @ A_27a ) )
% 5.66/5.92 = ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.66/5.92 & ! [V24v4: tp__ty_2Enum_2Enum,V25l: $i] :
% 5.66/5.92 ( ( mem @ V25l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.92 => ! [V26R: $i] :
% 5.66/5.92 ( ( mem @ V26R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2EmergesortN @ A_27a ) @ V26R ) @ ( inj__ty_2Enum_2Enum @ V24v4 ) ) @ V25l )
% 5.66/5.92 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V24v4 ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) @ ( c_2Elist_2ENIL @ A_27a ) )
% 5.66/5.92 @ ( ap
% 5.66/5.92 @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V24v4 ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.66/5.92 @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2Elist__CASE @ A_27a @ ( ty_2Elist_2Elist @ A_27a ) ) @ V25l ) @ ( c_2Elist_2ENIL @ A_27a ) )
% 5.66/5.92 @ ( lam @ A_27a
% 5.66/5.92 @ ^ [V27x: $i] :
% 5.66/5.92 ( lam @ ( ty_2Elist_2Elist @ A_27a )
% 5.66/5.92 @ ^ [V28l_27: $i] : ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V27x ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) )
% 5.66/5.92 @ ( ap
% 5.66/5.92 @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V24v4 ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.66/5.92 @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2Elist__CASE @ A_27a @ ( ty_2Elist_2Elist @ A_27a ) ) @ V25l ) @ ( c_2Elist_2ENIL @ A_27a ) )
% 5.66/5.92 @ ( lam @ A_27a
% 5.66/5.92 @ ^ [V29x_27: $i] :
% 5.66/5.92 ( lam @ ( ty_2Elist_2Elist @ A_27a )
% 5.66/5.92 @ ^ [V30v17: $i] :
% 5.66/5.92 ( ap @ ( ap @ ( ap @ ( c_2Elist_2Elist__CASE @ A_27a @ ( ty_2Elist_2Elist @ A_27a ) ) @ V30v17 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V29x_27 ) @ ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.66/5.92 @ ( lam @ A_27a
% 5.66/5.92 @ ^ [V31y: $i] :
% 5.66/5.92 ( lam @ ( ty_2Elist_2Elist @ A_27a )
% 5.66/5.92 @ ^ [V32l_27_27: $i] : ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2Esort2 @ A_27a ) @ V26R ) @ V29x_27 ) @ V31y ) ) ) ) ) ) ) )
% 5.66/5.92 @ ( ap
% 5.66/5.92 @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V24v4 ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.66/5.92 @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2Elist__CASE @ A_27a @ ( ty_2Elist_2Elist @ A_27a ) ) @ V25l ) @ ( c_2Elist_2ENIL @ A_27a ) )
% 5.66/5.92 @ ( lam @ A_27a
% 5.66/5.92 @ ^ [V33x_27_27: $i] :
% 5.66/5.92 ( lam @ ( ty_2Elist_2Elist @ A_27a )
% 5.66/5.92 @ ^ [V34v25: $i] :
% 5.66/5.92 ( ap @ ( ap @ ( ap @ ( c_2Elist_2Elist__CASE @ A_27a @ ( ty_2Elist_2Elist @ A_27a ) ) @ V34v25 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V33x_27_27 ) @ ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.66/5.92 @ ( lam @ A_27a
% 5.66/5.92 @ ^ [V35y_27: $i] :
% 5.66/5.92 ( lam @ ( ty_2Elist_2Elist @ A_27a )
% 5.66/5.92 @ ^ [V36v29: $i] :
% 5.66/5.92 ( ap @ ( ap @ ( ap @ ( c_2Elist_2Elist__CASE @ A_27a @ ( ty_2Elist_2Elist @ A_27a ) ) @ V36v29 ) @ ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2Esort2 @ A_27a ) @ V26R ) @ V33x_27_27 ) @ V35y_27 ) )
% 5.66/5.92 @ ( lam @ A_27a
% 5.66/5.92 @ ^ [V37z: $i] :
% 5.66/5.92 ( lam @ ( ty_2Elist_2Elist @ A_27a )
% 5.66/5.92 @ ^ [V38l_27_27_27: $i] : ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2Esort3 @ A_27a ) @ V26R ) @ V33x_27_27 ) @ V35y_27 ) @ V37z ) ) ) ) ) ) ) ) ) ) )
% 5.66/5.92 @ ( ap
% 5.66/5.92 @ ( ap @ ( c_2Ebool_2ELET @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.92 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.92 @ ^ [V39len1: $i] : ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2Emerge @ A_27a ) @ V26R ) @ ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2EmergesortN @ A_27a ) @ V26R ) @ ( ap @ c_2Earithmetic_2EDIV2 @ ( inj__ty_2Enum_2Enum @ V24v4 ) ) ) @ V25l ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2EmergesortN @ A_27a ) @ V26R ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V24v4 ) ) @ V39len1 ) ) @ ( ap @ ( ap @ ( c_2Elist_2EDROP @ A_27a ) @ V39len1 ) @ V25l ) ) ) ) )
% 5.66/5.92 @ ( ap @ c_2Earithmetic_2EDIV2 @ ( inj__ty_2Enum_2Enum @ V24v4 ) ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(ax_thm_2Emergesort_2Emergesort__def,axiom,
% 5.66/5.92 ! [A_27a: del,V0R: $i] :
% 5.66/5.92 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ! [V1l: $i] :
% 5.66/5.92 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( c_2Emergesort_2Emergesort @ A_27a ) @ V0R ) @ V1l )
% 5.66/5.92 = ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2EmergesortN @ A_27a ) @ V0R ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l ) ) @ V1l ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(ax_thm_2Emergesort_2Esort2__tail__def,axiom,
% 5.66/5.92 ! [A_27a: del,V0neg: $i] :
% 5.66/5.92 ( ( mem @ V0neg @ bool )
% 5.66/5.92 => ! [V1R: $i] :
% 5.66/5.92 ( ( mem @ V1R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ! [V2x: $i] :
% 5.66/5.92 ( ( mem @ V2x @ A_27a )
% 5.66/5.92 => ! [V3y: $i] :
% 5.66/5.92 ( ( mem @ V3y @ A_27a )
% 5.66/5.92 => ( ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2Esort2__tail @ A_27a ) @ V0neg ) @ V1R ) @ V2x ) @ V3y )
% 5.66/5.92 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ bool ) @ ( ap @ ( ap @ V1R @ V2x ) @ V3y ) ) @ V0neg ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2x ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3y ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3y ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2x ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(ax_thm_2Emergesort_2Esort3__tail__def,axiom,
% 5.66/5.92 ! [A_27a: del,V0neg: $i] :
% 5.66/5.92 ( ( mem @ V0neg @ bool )
% 5.66/5.92 => ! [V1R: $i] :
% 5.66/5.92 ( ( mem @ V1R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ! [V2x: $i] :
% 5.66/5.92 ( ( mem @ V2x @ A_27a )
% 5.66/5.92 => ! [V3y: $i] :
% 5.66/5.92 ( ( mem @ V3y @ A_27a )
% 5.66/5.92 => ! [V4z: $i] :
% 5.66/5.92 ( ( mem @ V4z @ A_27a )
% 5.66/5.92 => ( ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2Esort3__tail @ A_27a ) @ V0neg ) @ V1R ) @ V2x ) @ V3y ) @ V4z )
% 5.66/5.92 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ bool ) @ ( ap @ ( ap @ V1R @ V2x ) @ V3y ) ) @ V0neg ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ bool ) @ ( ap @ ( ap @ V1R @ V3y ) @ V4z ) ) @ V0neg ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2x ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3y ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4z ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ bool ) @ ( ap @ ( ap @ V1R @ V2x ) @ V4z ) ) @ V0neg ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2x ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4z ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3y ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4z ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2x ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3y ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ bool ) @ ( ap @ ( ap @ V1R @ V3y ) @ V4z ) ) @ V0neg ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ bool ) @ ( ap @ ( ap @ V1R @ V2x ) @ V4z ) ) @ V0neg ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3y ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2x ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4z ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3y ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4z ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2x ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4z ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3y ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2x ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Emergesort_2Emerge__tail__ind,axiom,
% 5.66/5.92 ! [A_27a: del,V0P: $i] :
% 5.66/5.92 ( ( mem @ V0P @ ( arr @ bool @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ bool ) ) ) ) ) )
% 5.66/5.92 => ( ( ! [V1negate: $i] :
% 5.66/5.92 ( ( mem @ V1negate @ bool )
% 5.66/5.92 => ! [V2R: $i] :
% 5.66/5.92 ( ( mem @ V2R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ! [V3acc: $i] :
% 5.66/5.92 ( ( mem @ V3acc @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ V0P @ V1negate ) @ V2R ) @ ( c_2Elist_2ENIL @ A_27a ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) @ V3acc ) ) ) ) )
% 5.66/5.92 & ! [V4negate: $i] :
% 5.66/5.92 ( ( mem @ V4negate @ bool )
% 5.66/5.92 => ! [V5R: $i] :
% 5.66/5.92 ( ( mem @ V5R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ! [V6v12: $i] :
% 5.66/5.92 ( ( mem @ V6v12 @ A_27a )
% 5.66/5.92 => ! [V7v13: $i] :
% 5.66/5.92 ( ( mem @ V7v13 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.92 => ! [V8acc: $i] :
% 5.66/5.92 ( ( mem @ V8acc @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ V0P @ V4negate ) @ V5R ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V6v12 ) @ V7v13 ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) @ V8acc ) ) ) ) ) ) )
% 5.66/5.92 & ! [V9negate: $i] :
% 5.66/5.92 ( ( mem @ V9negate @ bool )
% 5.66/5.92 => ! [V10R: $i] :
% 5.66/5.92 ( ( mem @ V10R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ! [V11v8: $i] :
% 5.66/5.92 ( ( mem @ V11v8 @ A_27a )
% 5.66/5.92 => ! [V12v9: $i] :
% 5.66/5.92 ( ( mem @ V12v9 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.92 => ! [V13acc: $i] :
% 5.66/5.92 ( ( mem @ V13acc @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ V0P @ V9negate ) @ V10R ) @ ( c_2Elist_2ENIL @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V11v8 ) @ V12v9 ) ) @ V13acc ) ) ) ) ) ) )
% 5.66/5.92 & ! [V14negate: $i] :
% 5.66/5.92 ( ( mem @ V14negate @ bool )
% 5.66/5.92 => ! [V15R: $i] :
% 5.66/5.92 ( ( mem @ V15R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ! [V16x: $i] :
% 5.66/5.92 ( ( mem @ V16x @ A_27a )
% 5.66/5.92 => ! [V17l1: $i] :
% 5.66/5.92 ( ( mem @ V17l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.92 => ! [V18y: $i] :
% 5.66/5.92 ( ( mem @ V18y @ A_27a )
% 5.66/5.92 => ! [V19l2: $i] :
% 5.66/5.92 ( ( mem @ V19l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.92 => ! [V20acc: $i] :
% 5.66/5.92 ( ( mem @ V20acc @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.92 => ( ( ( ~ ~ ( ( p @ ( ap @ ( ap @ V15R @ V16x ) @ V18y ) )
% 5.66/5.92 <=> ( p @ V14negate ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ V0P @ V14negate ) @ V15R ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V16x ) @ V17l1 ) ) @ V19l2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V18y ) @ V20acc ) ) ) )
% 5.66/5.92 & ( ~ ( ( p @ ( ap @ ( ap @ V15R @ V16x ) @ V18y ) )
% 5.66/5.92 <=> ( p @ V14negate ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ V0P @ V14negate ) @ V15R ) @ V17l1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V18y ) @ V19l2 ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V16x ) @ V20acc ) ) ) ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ V0P @ V14negate ) @ V15R ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V16x ) @ V17l1 ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V18y ) @ V19l2 ) ) @ V20acc ) ) ) ) ) ) ) ) ) ) )
% 5.66/5.92 => ! [V21v: $i] :
% 5.66/5.92 ( ( mem @ V21v @ bool )
% 5.66/5.92 => ! [V22v1: $i] :
% 5.66/5.92 ( ( mem @ V22v1 @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ! [V23v2: $i] :
% 5.66/5.92 ( ( mem @ V23v2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.92 => ! [V24v3: $i] :
% 5.66/5.92 ( ( mem @ V24v3 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.92 => ! [V25v4: $i] :
% 5.66/5.92 ( ( mem @ V25v4 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ V0P @ V21v ) @ V22v1 ) @ V23v2 ) @ V24v3 ) @ V25v4 ) ) ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Emergesort_2Emerge__tail__def,axiom,
% 5.66/5.92 ! [A_27a: del] :
% 5.66/5.92 ( ! [V0negate: $i] :
% 5.66/5.92 ( ( mem @ V0negate @ bool )
% 5.66/5.92 => ! [V1acc: $i] :
% 5.66/5.92 ( ( mem @ V1acc @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.92 => ! [V2R: $i] :
% 5.66/5.92 ( ( mem @ V2R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2Emerge__tail @ A_27a ) @ V0negate ) @ V2R ) @ ( c_2Elist_2ENIL @ A_27a ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) @ V1acc )
% 5.66/5.92 = V1acc ) ) ) )
% 5.66/5.92 & ! [V3v13: $i] :
% 5.66/5.92 ( ( mem @ V3v13 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.92 => ! [V4v12: $i] :
% 5.66/5.92 ( ( mem @ V4v12 @ A_27a )
% 5.66/5.92 => ! [V5negate: $i] :
% 5.66/5.92 ( ( mem @ V5negate @ bool )
% 5.66/5.92 => ! [V6acc: $i] :
% 5.66/5.92 ( ( mem @ V6acc @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.92 => ! [V7R: $i] :
% 5.66/5.92 ( ( mem @ V7R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2Emerge__tail @ A_27a ) @ V5negate ) @ V7R ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4v12 ) @ V3v13 ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) @ V6acc )
% 5.66/5.92 = ( ap @ ( ap @ ( c_2Elist_2EREV @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V4v12 ) @ V3v13 ) ) @ V6acc ) ) ) ) ) ) )
% 5.66/5.92 & ! [V8v9: $i] :
% 5.66/5.92 ( ( mem @ V8v9 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.92 => ! [V9v8: $i] :
% 5.66/5.92 ( ( mem @ V9v8 @ A_27a )
% 5.66/5.92 => ! [V10negate: $i] :
% 5.66/5.92 ( ( mem @ V10negate @ bool )
% 5.66/5.92 => ! [V11acc: $i] :
% 5.66/5.92 ( ( mem @ V11acc @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.92 => ! [V12R: $i] :
% 5.66/5.92 ( ( mem @ V12R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2Emerge__tail @ A_27a ) @ V10negate ) @ V12R ) @ ( c_2Elist_2ENIL @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V9v8 ) @ V8v9 ) ) @ V11acc )
% 5.66/5.92 = ( ap @ ( ap @ ( c_2Elist_2EREV @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V9v8 ) @ V8v9 ) ) @ V11acc ) ) ) ) ) ) )
% 5.66/5.92 & ! [V13y: $i] :
% 5.66/5.92 ( ( mem @ V13y @ A_27a )
% 5.66/5.92 => ! [V14x: $i] :
% 5.66/5.92 ( ( mem @ V14x @ A_27a )
% 5.66/5.92 => ! [V15negate: $i] :
% 5.66/5.92 ( ( mem @ V15negate @ bool )
% 5.66/5.92 => ! [V16l2: $i] :
% 5.66/5.92 ( ( mem @ V16l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.92 => ! [V17l1: $i] :
% 5.66/5.92 ( ( mem @ V17l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.92 => ! [V18acc: $i] :
% 5.66/5.92 ( ( mem @ V18acc @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.92 => ! [V19R: $i] :
% 5.66/5.92 ( ( mem @ V19R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2Emerge__tail @ A_27a ) @ V15negate ) @ V19R ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V14x ) @ V17l1 ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V13y ) @ V16l2 ) ) @ V18acc )
% 5.66/5.92 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ bool ) @ ( ap @ ( ap @ V19R @ V14x ) @ V13y ) ) @ V15negate ) ) ) @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2Emerge__tail @ A_27a ) @ V15negate ) @ V19R ) @ V17l1 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V13y ) @ V16l2 ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V14x ) @ V18acc ) ) ) @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2Emerge__tail @ A_27a ) @ V15negate ) @ V19R ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V14x ) @ V17l1 ) ) @ V16l2 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V13y ) @ V18acc ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Emergesort_2EmergesortN__tail__ind,axiom,
% 5.66/5.92 ! [A_27a: del,V0P: $i] :
% 5.66/5.92 ( ( mem @ V0P @ ( arr @ bool @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) @ ( arr @ ty_2Enum_2Enum @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ bool ) ) ) ) )
% 5.66/5.92 => ( ( ! [V1negate: $i] :
% 5.66/5.92 ( ( mem @ V1negate @ bool )
% 5.66/5.92 => ! [V2R: $i] :
% 5.66/5.92 ( ( mem @ V2R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ! [V3l: $i] :
% 5.66/5.92 ( ( mem @ V3l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( ap @ ( ap @ V0P @ V1negate ) @ V2R ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ V3l ) ) ) ) )
% 5.66/5.92 & ! [V4negate: $i] :
% 5.66/5.92 ( ( mem @ V4negate @ bool )
% 5.66/5.92 => ! [V5R: $i] :
% 5.66/5.92 ( ( mem @ V5R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ! [V6x: $i] :
% 5.66/5.92 ( ( mem @ V6x @ A_27a )
% 5.66/5.92 => ! [V7l: $i] :
% 5.66/5.92 ( ( mem @ V7l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( ap @ ( ap @ V0P @ V4negate ) @ V5R ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V6x ) @ V7l ) ) ) ) ) ) )
% 5.66/5.92 & ! [V8negate: $i] :
% 5.66/5.92 ( ( mem @ V8negate @ bool )
% 5.66/5.92 => ! [V9R: $i] :
% 5.66/5.92 ( ( mem @ V9R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( ap @ ( ap @ V0P @ V8negate ) @ V9R ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) )
% 5.66/5.92 & ! [V10negate: $i] :
% 5.66/5.92 ( ( mem @ V10negate @ bool )
% 5.66/5.92 => ! [V11R: $i] :
% 5.66/5.92 ( ( mem @ V11R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ! [V12x: $i] :
% 5.66/5.92 ( ( mem @ V12x @ A_27a )
% 5.66/5.92 => ! [V13y: $i] :
% 5.66/5.92 ( ( mem @ V13y @ A_27a )
% 5.66/5.92 => ! [V14l: $i] :
% 5.66/5.92 ( ( mem @ V14l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( ap @ ( ap @ V0P @ V10negate ) @ V11R ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V12x ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V13y ) @ V14l ) ) ) ) ) ) ) ) )
% 5.66/5.92 & ! [V15negate: $i] :
% 5.66/5.92 ( ( mem @ V15negate @ bool )
% 5.66/5.92 => ! [V16R: $i] :
% 5.66/5.92 ( ( mem @ V16R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ! [V17x: $i] :
% 5.66/5.92 ( ( mem @ V17x @ A_27a )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( ap @ ( ap @ V0P @ V15negate ) @ V16R ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V17x ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) )
% 5.66/5.92 & ! [V18negate: $i] :
% 5.66/5.92 ( ( mem @ V18negate @ bool )
% 5.66/5.92 => ! [V19R: $i] :
% 5.66/5.92 ( ( mem @ V19R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( ap @ ( ap @ V0P @ V18negate ) @ V19R ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) )
% 5.66/5.92 & ! [V20negate: $i] :
% 5.66/5.92 ( ( mem @ V20negate @ bool )
% 5.66/5.92 => ! [V21R: $i] :
% 5.66/5.92 ( ( mem @ V21R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ! [V22x: $i] :
% 5.66/5.92 ( ( mem @ V22x @ A_27a )
% 5.66/5.92 => ! [V23y: $i] :
% 5.66/5.92 ( ( mem @ V23y @ A_27a )
% 5.66/5.92 => ! [V24z: $i] :
% 5.66/5.92 ( ( mem @ V24z @ A_27a )
% 5.66/5.92 => ! [V25l: $i] :
% 5.66/5.92 ( ( mem @ V25l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( ap @ ( ap @ V0P @ V20negate ) @ V21R ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V22x ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V23y ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V24z ) @ V25l ) ) ) ) ) ) ) ) ) ) )
% 5.66/5.92 & ! [V26negate: $i] :
% 5.66/5.92 ( ( mem @ V26negate @ bool )
% 5.66/5.92 => ! [V27R: $i] :
% 5.66/5.92 ( ( mem @ V27R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ! [V28x: $i] :
% 5.66/5.92 ( ( mem @ V28x @ A_27a )
% 5.66/5.92 => ! [V29y: $i] :
% 5.66/5.92 ( ( mem @ V29y @ A_27a )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( ap @ ( ap @ V0P @ V26negate ) @ V27R ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V28x ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V29y ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) ) ) )
% 5.66/5.92 & ! [V30negate: $i] :
% 5.66/5.92 ( ( mem @ V30negate @ bool )
% 5.66/5.92 => ! [V31R: $i] :
% 5.66/5.92 ( ( mem @ V31R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ! [V32x: $i] :
% 5.66/5.92 ( ( mem @ V32x @ A_27a )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( ap @ ( ap @ V0P @ V30negate ) @ V31R ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V32x ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) )
% 5.66/5.92 & ! [V33negate: $i] :
% 5.66/5.92 ( ( mem @ V33negate @ bool )
% 5.66/5.92 => ! [V34R: $i] :
% 5.66/5.92 ( ( mem @ V34R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( ap @ ( ap @ V0P @ V33negate ) @ V34R ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) )
% 5.66/5.92 & ! [V35negate: $i] :
% 5.66/5.92 ( ( mem @ V35negate @ bool )
% 5.66/5.92 => ! [V36R: $i] :
% 5.66/5.92 ( ( mem @ V36R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ! [V37v6: tp__ty_2Enum_2Enum,V38l: $i] :
% 5.66/5.92 ( ( mem @ V38l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.92 => ( ( ! [V39len1: tp__ty_2Enum_2Enum,V40neg: $i] :
% 5.66/5.92 ( ( mem @ V40neg @ bool )
% 5.66/5.92 => ( ( ( V37v6 != fo__c_2Enum_2E0 )
% 5.66/5.92 & ( V37v6
% 5.66/5.92 != ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.66/5.92 & ( V37v6
% 5.66/5.92 != ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.66/5.92 & ( V37v6
% 5.66/5.92 != ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.66/5.92 & ( V39len1
% 5.66/5.92 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2EDIV2 @ ( inj__ty_2Enum_2Enum @ V37v6 ) ) ) )
% 5.66/5.92 & ( ( p @ V40neg )
% 5.66/5.92 <=> ~ ( p @ V35negate ) ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( ap @ ( ap @ V0P @ V40neg ) @ V36R ) @ ( ap @ c_2Earithmetic_2EDIV2 @ ( inj__ty_2Enum_2Enum @ V37v6 ) ) ) @ V38l ) ) ) )
% 5.66/5.92 & ! [V41len1: tp__ty_2Enum_2Enum,V42neg: $i] :
% 5.66/5.92 ( ( mem @ V42neg @ bool )
% 5.66/5.92 => ( ( ( V37v6 != fo__c_2Enum_2E0 )
% 5.66/5.92 & ( V37v6
% 5.66/5.92 != ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.66/5.92 & ( V37v6
% 5.66/5.92 != ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.66/5.92 & ( V37v6
% 5.66/5.92 != ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.66/5.92 & ( V41len1
% 5.66/5.92 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2EDIV2 @ ( inj__ty_2Enum_2Enum @ V37v6 ) ) ) )
% 5.66/5.92 & ( ( p @ V42neg )
% 5.66/5.92 <=> ~ ( p @ V35negate ) ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( ap @ ( ap @ V0P @ V42neg ) @ V36R ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V37v6 ) ) @ ( inj__ty_2Enum_2Enum @ V41len1 ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2EDROP @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V41len1 ) ) @ V38l ) ) ) ) ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( ap @ ( ap @ V0P @ V35negate ) @ V36R ) @ ( inj__ty_2Enum_2Enum @ V37v6 ) ) @ V38l ) ) ) ) ) ) )
% 5.66/5.92 => ! [V43v: $i] :
% 5.66/5.92 ( ( mem @ V43v @ bool )
% 5.66/5.92 => ! [V44v1: $i] :
% 5.66/5.92 ( ( mem @ V44v1 @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ! [V45v2: tp__ty_2Enum_2Enum,V46v3: $i] :
% 5.66/5.92 ( ( mem @ V46v3 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( ap @ ( ap @ V0P @ V43v ) @ V44v1 ) @ ( inj__ty_2Enum_2Enum @ V45v2 ) ) @ V46v3 ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Emergesort_2EmergesortN__tail__def,axiom,
% 5.66/5.92 ! [A_27a: del] :
% 5.66/5.92 ( ! [V0negate: $i] :
% 5.66/5.92 ( ( mem @ V0negate @ bool )
% 5.66/5.92 => ! [V1l: $i] :
% 5.66/5.92 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.92 => ! [V2R: $i] :
% 5.66/5.92 ( ( mem @ V2R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2EmergesortN__tail @ A_27a ) @ V0negate ) @ V2R ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ V1l )
% 5.66/5.92 = ( c_2Elist_2ENIL @ A_27a ) ) ) ) )
% 5.66/5.92 & ! [V3x: $i] :
% 5.66/5.92 ( ( mem @ V3x @ A_27a )
% 5.66/5.92 => ! [V4negate: $i] :
% 5.66/5.92 ( ( mem @ V4negate @ bool )
% 5.66/5.92 => ! [V5l: $i] :
% 5.66/5.92 ( ( mem @ V5l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.92 => ! [V6R: $i] :
% 5.66/5.92 ( ( mem @ V6R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2EmergesortN__tail @ A_27a ) @ V4negate ) @ V6R ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3x ) @ V5l ) )
% 5.66/5.92 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3x ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) ) )
% 5.66/5.92 & ! [V7negate: $i] :
% 5.66/5.92 ( ( mem @ V7negate @ bool )
% 5.66/5.92 => ! [V8R: $i] :
% 5.66/5.92 ( ( mem @ V8R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2EmergesortN__tail @ A_27a ) @ V7negate ) @ V8R ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( c_2Elist_2ENIL @ A_27a ) )
% 5.66/5.92 = ( c_2Elist_2ENIL @ A_27a ) ) ) )
% 5.66/5.92 & ! [V9y: $i] :
% 5.66/5.92 ( ( mem @ V9y @ A_27a )
% 5.66/5.92 => ! [V10x: $i] :
% 5.66/5.92 ( ( mem @ V10x @ A_27a )
% 5.66/5.92 => ! [V11negate: $i] :
% 5.66/5.92 ( ( mem @ V11negate @ bool )
% 5.66/5.92 => ! [V12l: $i] :
% 5.66/5.92 ( ( mem @ V12l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.92 => ! [V13R: $i] :
% 5.66/5.92 ( ( mem @ V13R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2EmergesortN__tail @ A_27a ) @ V11negate ) @ V13R ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V10x ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V9y ) @ V12l ) ) )
% 5.66/5.92 = ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2Esort2__tail @ A_27a ) @ V11negate ) @ V13R ) @ V10x ) @ V9y ) ) ) ) ) ) )
% 5.66/5.92 & ! [V14x: $i] :
% 5.66/5.92 ( ( mem @ V14x @ A_27a )
% 5.66/5.92 => ! [V15negate: $i] :
% 5.66/5.92 ( ( mem @ V15negate @ bool )
% 5.66/5.92 => ! [V16R: $i] :
% 5.66/5.92 ( ( mem @ V16R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2EmergesortN__tail @ A_27a ) @ V15negate ) @ V16R ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V14x ) @ ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.66/5.92 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V14x ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) )
% 5.66/5.92 & ! [V17negate: $i] :
% 5.66/5.92 ( ( mem @ V17negate @ bool )
% 5.66/5.92 => ! [V18R: $i] :
% 5.66/5.92 ( ( mem @ V18R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2EmergesortN__tail @ A_27a ) @ V17negate ) @ V18R ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( c_2Elist_2ENIL @ A_27a ) )
% 5.66/5.92 = ( c_2Elist_2ENIL @ A_27a ) ) ) )
% 5.66/5.92 & ! [V19z: $i] :
% 5.66/5.92 ( ( mem @ V19z @ A_27a )
% 5.66/5.92 => ! [V20y: $i] :
% 5.66/5.92 ( ( mem @ V20y @ A_27a )
% 5.66/5.92 => ! [V21x: $i] :
% 5.66/5.92 ( ( mem @ V21x @ A_27a )
% 5.66/5.92 => ! [V22negate: $i] :
% 5.66/5.92 ( ( mem @ V22negate @ bool )
% 5.66/5.92 => ! [V23l: $i] :
% 5.66/5.92 ( ( mem @ V23l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.92 => ! [V24R: $i] :
% 5.66/5.92 ( ( mem @ V24R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2EmergesortN__tail @ A_27a ) @ V22negate ) @ V24R ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V21x ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V20y ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V19z ) @ V23l ) ) ) )
% 5.66/5.92 = ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2Esort3__tail @ A_27a ) @ V22negate ) @ V24R ) @ V21x ) @ V20y ) @ V19z ) ) ) ) ) ) ) )
% 5.66/5.92 & ! [V25y: $i] :
% 5.66/5.92 ( ( mem @ V25y @ A_27a )
% 5.66/5.92 => ! [V26x: $i] :
% 5.66/5.92 ( ( mem @ V26x @ A_27a )
% 5.66/5.92 => ! [V27negate: $i] :
% 5.66/5.92 ( ( mem @ V27negate @ bool )
% 5.66/5.92 => ! [V28R: $i] :
% 5.66/5.92 ( ( mem @ V28R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2EmergesortN__tail @ A_27a ) @ V27negate ) @ V28R ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V26x ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V25y ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) )
% 5.66/5.92 = ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2Esort2__tail @ A_27a ) @ V27negate ) @ V28R ) @ V26x ) @ V25y ) ) ) ) ) )
% 5.66/5.92 & ! [V29x: $i] :
% 5.66/5.92 ( ( mem @ V29x @ A_27a )
% 5.66/5.92 => ! [V30negate: $i] :
% 5.66/5.92 ( ( mem @ V30negate @ bool )
% 5.66/5.92 => ! [V31R: $i] :
% 5.66/5.92 ( ( mem @ V31R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2EmergesortN__tail @ A_27a ) @ V30negate ) @ V31R ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V29x ) @ ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.66/5.92 = ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V29x ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) )
% 5.66/5.92 & ! [V32negate: $i] :
% 5.66/5.92 ( ( mem @ V32negate @ bool )
% 5.66/5.92 => ! [V33R: $i] :
% 5.66/5.92 ( ( mem @ V33R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2EmergesortN__tail @ A_27a ) @ V32negate ) @ V33R ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( c_2Elist_2ENIL @ A_27a ) )
% 5.66/5.92 = ( c_2Elist_2ENIL @ A_27a ) ) ) )
% 5.66/5.92 & ! [V34v6: tp__ty_2Enum_2Enum,V35negate: $i] :
% 5.66/5.92 ( ( mem @ V35negate @ bool )
% 5.66/5.92 => ! [V36l: $i] :
% 5.66/5.92 ( ( mem @ V36l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.92 => ! [V37R: $i] :
% 5.66/5.92 ( ( mem @ V37R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2EmergesortN__tail @ A_27a ) @ V35negate ) @ V37R ) @ ( inj__ty_2Enum_2Enum @ V34v6 ) ) @ V36l )
% 5.66/5.92 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V34v6 ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) @ ( c_2Elist_2ENIL @ A_27a ) )
% 5.66/5.92 @ ( ap
% 5.66/5.92 @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V34v6 ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.66/5.92 @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2Elist__CASE @ A_27a @ ( ty_2Elist_2Elist @ A_27a ) ) @ V36l ) @ ( c_2Elist_2ENIL @ A_27a ) )
% 5.66/5.92 @ ( lam @ A_27a
% 5.66/5.92 @ ^ [V38x: $i] :
% 5.66/5.92 ( lam @ ( ty_2Elist_2Elist @ A_27a )
% 5.66/5.92 @ ^ [V39l_27: $i] : ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V38x ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) )
% 5.66/5.92 @ ( ap
% 5.66/5.92 @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V34v6 ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.66/5.92 @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2Elist__CASE @ A_27a @ ( ty_2Elist_2Elist @ A_27a ) ) @ V36l ) @ ( c_2Elist_2ENIL @ A_27a ) )
% 5.66/5.92 @ ( lam @ A_27a
% 5.66/5.92 @ ^ [V40x_27: $i] :
% 5.66/5.92 ( lam @ ( ty_2Elist_2Elist @ A_27a )
% 5.66/5.92 @ ^ [V41v19: $i] :
% 5.66/5.92 ( ap @ ( ap @ ( ap @ ( c_2Elist_2Elist__CASE @ A_27a @ ( ty_2Elist_2Elist @ A_27a ) ) @ V41v19 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V40x_27 ) @ ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.66/5.92 @ ( lam @ A_27a
% 5.66/5.92 @ ^ [V42y: $i] :
% 5.66/5.92 ( lam @ ( ty_2Elist_2Elist @ A_27a )
% 5.66/5.92 @ ^ [V43l_27_27: $i] : ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2Esort2__tail @ A_27a ) @ V35negate ) @ V37R ) @ V40x_27 ) @ V42y ) ) ) ) ) ) ) )
% 5.66/5.92 @ ( ap
% 5.66/5.92 @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V34v6 ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.66/5.92 @ ( ap @ ( ap @ ( ap @ ( c_2Elist_2Elist__CASE @ A_27a @ ( ty_2Elist_2Elist @ A_27a ) ) @ V36l ) @ ( c_2Elist_2ENIL @ A_27a ) )
% 5.66/5.92 @ ( lam @ A_27a
% 5.66/5.92 @ ^ [V44x_27_27: $i] :
% 5.66/5.92 ( lam @ ( ty_2Elist_2Elist @ A_27a )
% 5.66/5.92 @ ^ [V45v27: $i] :
% 5.66/5.92 ( ap @ ( ap @ ( ap @ ( c_2Elist_2Elist__CASE @ A_27a @ ( ty_2Elist_2Elist @ A_27a ) ) @ V45v27 ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V44x_27_27 ) @ ( c_2Elist_2ENIL @ A_27a ) ) )
% 5.66/5.92 @ ( lam @ A_27a
% 5.66/5.92 @ ^ [V46y_27: $i] :
% 5.66/5.92 ( lam @ ( ty_2Elist_2Elist @ A_27a )
% 5.66/5.92 @ ^ [V47v31: $i] :
% 5.66/5.92 ( ap @ ( ap @ ( ap @ ( c_2Elist_2Elist__CASE @ A_27a @ ( ty_2Elist_2Elist @ A_27a ) ) @ V47v31 ) @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2Esort2__tail @ A_27a ) @ V35negate ) @ V37R ) @ V44x_27_27 ) @ V46y_27 ) )
% 5.66/5.92 @ ( lam @ A_27a
% 5.66/5.92 @ ^ [V48z: $i] :
% 5.66/5.92 ( lam @ ( ty_2Elist_2Elist @ A_27a )
% 5.66/5.92 @ ^ [V49l_27_27_27: $i] : ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2Esort3__tail @ A_27a ) @ V35negate ) @ V37R ) @ V44x_27_27 ) @ V46y_27 ) @ V48z ) ) ) ) ) ) ) ) ) ) )
% 5.66/5.92 @ ( ap
% 5.66/5.92 @ ( ap @ ( c_2Ebool_2ELET @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.92 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.92 @ ^ [V50len1: $i] :
% 5.66/5.92 ( ap
% 5.66/5.92 @ ( ap @ ( c_2Ebool_2ELET @ bool @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.92 @ ( lam @ bool
% 5.66/5.92 @ ^ [V51neg: $i] : ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2Emerge__tail @ A_27a ) @ V51neg ) @ V37R ) @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2EmergesortN__tail @ A_27a ) @ V51neg ) @ V37R ) @ ( ap @ c_2Earithmetic_2EDIV2 @ ( inj__ty_2Enum_2Enum @ V34v6 ) ) ) @ V36l ) ) @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2EmergesortN__tail @ A_27a ) @ V51neg ) @ V37R ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V34v6 ) ) @ V50len1 ) ) @ ( ap @ ( ap @ ( c_2Elist_2EDROP @ A_27a ) @ V50len1 ) @ V36l ) ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) )
% 5.66/5.92 @ ( ap @ c_2Ebool_2E_7E @ V35negate ) ) ) )
% 5.66/5.92 @ ( ap @ c_2Earithmetic_2EDIV2 @ ( inj__ty_2Enum_2Enum @ V34v6 ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(ax_thm_2Emergesort_2Emergesort__tail__def,axiom,
% 5.66/5.92 ! [A_27a: del,V0R: $i] :
% 5.66/5.92 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ! [V1l: $i] :
% 5.66/5.92 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( c_2Emergesort_2Emergesort__tail @ A_27a ) @ V0R ) @ V1l )
% 5.66/5.92 = ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2EmergesortN__tail @ A_27a ) @ c_2Ebool_2EF ) @ V0R ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V1l ) ) @ V1l ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Emergesort_2Esort2__perm,axiom,
% 5.66/5.92 ! [A_27a: del,V0R: $i] :
% 5.66/5.92 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ! [V1x: $i] :
% 5.66/5.92 ( ( mem @ V1x @ A_27a )
% 5.66/5.92 => ! [V2y: $i] :
% 5.66/5.92 ( ( mem @ V2y @ A_27a )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1x ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2y ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2Esort2 @ A_27a ) @ V0R ) @ V1x ) @ V2y ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Emergesort_2Esort3__perm,axiom,
% 5.66/5.92 ! [A_27a: del,V0R: $i] :
% 5.66/5.92 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ! [V1x: $i] :
% 5.66/5.92 ( ( mem @ V1x @ A_27a )
% 5.66/5.92 => ! [V2y: $i] :
% 5.66/5.92 ( ( mem @ V2y @ A_27a )
% 5.66/5.92 => ! [V3z: $i] :
% 5.66/5.92 ( ( mem @ V3z @ A_27a )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1x ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2y ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3z ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2Esort3 @ A_27a ) @ V0R ) @ V1x ) @ V2y ) @ V3z ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Emergesort_2Emerge__perm,axiom,
% 5.66/5.92 ! [A_27a: del,V0R: $i] :
% 5.66/5.92 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ! [V1l1: $i] :
% 5.66/5.92 ( ( mem @ V1l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.92 => ! [V2l2: $i] :
% 5.66/5.92 ( ( mem @ V2l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V1l1 ) @ V2l2 ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2Emerge @ A_27a ) @ V0R ) @ V1l1 ) @ V2l2 ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Emergesort_2EmergesortN__perm,axiom,
% 5.66/5.92 ! [A_27a: del,V0R: $i] :
% 5.66/5.92 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ! [V1n: tp__ty_2Enum_2Enum,V2l: $i] :
% 5.66/5.92 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2ETAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ V2l ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2EmergesortN @ A_27a ) @ V0R ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ V2l ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Emergesort_2Emergesort__perm,axiom,
% 5.66/5.92 ! [A_27a: del,V0R: $i] :
% 5.66/5.92 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ! [V1l: $i] :
% 5.66/5.92 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( c_2Esorting_2EPERM @ A_27a ) @ V1l ) @ ( ap @ ( ap @ ( c_2Emergesort_2Emergesort @ A_27a ) @ V0R ) @ V1l ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Emergesort_2Esort2__sorted,axiom,
% 5.66/5.92 ! [A_27a: del,V0R: $i] :
% 5.66/5.92 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ! [V1x: $i] :
% 5.66/5.92 ( ( mem @ V1x @ A_27a )
% 5.66/5.92 => ! [V2y: $i] :
% 5.66/5.92 ( ( mem @ V2y @ A_27a )
% 5.66/5.92 => ( ( p @ ( ap @ ( c_2Erelation_2Etotal @ A_27a ) @ V0R ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( c_2Esorting_2ESORTED @ A_27a ) @ V0R ) @ ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2Esort2 @ A_27a ) @ V0R ) @ V1x ) @ V2y ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Emergesort_2Esort3__sorted,axiom,
% 5.66/5.92 ! [A_27a: del,V0R: $i] :
% 5.66/5.92 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ! [V1x: $i] :
% 5.66/5.92 ( ( mem @ V1x @ A_27a )
% 5.66/5.92 => ! [V2y: $i] :
% 5.66/5.92 ( ( mem @ V2y @ A_27a )
% 5.66/5.92 => ! [V3z: $i] :
% 5.66/5.92 ( ( mem @ V3z @ A_27a )
% 5.66/5.92 => ( ( p @ ( ap @ ( c_2Erelation_2Etotal @ A_27a ) @ V0R ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( c_2Esorting_2ESORTED @ A_27a ) @ V0R ) @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2Esort3 @ A_27a ) @ V0R ) @ V1x ) @ V2y ) @ V3z ) ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Emergesort_2Emerge__sorted,axiom,
% 5.66/5.92 ! [A_27a: del,V0R: $i] :
% 5.66/5.92 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ! [V1l1: $i] :
% 5.66/5.92 ( ( mem @ V1l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.92 => ! [V2l2: $i] :
% 5.66/5.92 ( ( mem @ V2l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.92 => ( ( ( p @ ( ap @ ( c_2Erelation_2Etransitive @ A_27a ) @ V0R ) )
% 5.66/5.92 & ( p @ ( ap @ ( c_2Erelation_2Etotal @ A_27a ) @ V0R ) )
% 5.66/5.92 & ( p @ ( ap @ ( ap @ ( c_2Esorting_2ESORTED @ A_27a ) @ V0R ) @ V1l1 ) )
% 5.66/5.92 & ( p @ ( ap @ ( ap @ ( c_2Esorting_2ESORTED @ A_27a ) @ V0R ) @ V2l2 ) ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( c_2Esorting_2ESORTED @ A_27a ) @ V0R ) @ ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2Emerge @ A_27a ) @ V0R ) @ V1l1 ) @ V2l2 ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Emergesort_2EmergesortN__sorted,axiom,
% 5.66/5.92 ! [A_27a: del,V0R: $i] :
% 5.66/5.92 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ! [V1n: tp__ty_2Enum_2Enum,V2l: $i] :
% 5.66/5.92 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.92 => ( ( ( p @ ( ap @ ( c_2Erelation_2Etotal @ A_27a ) @ V0R ) )
% 5.66/5.92 & ( p @ ( ap @ ( c_2Erelation_2Etransitive @ A_27a ) @ V0R ) ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( c_2Esorting_2ESORTED @ A_27a ) @ V0R ) @ ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2EmergesortN @ A_27a ) @ V0R ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ V2l ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Emergesort_2Emergesort__sorted,axiom,
% 5.66/5.92 ! [A_27a: del,V0R: $i] :
% 5.66/5.92 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ! [V1l: $i] :
% 5.66/5.92 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.92 => ( ( ( p @ ( ap @ ( c_2Erelation_2Etransitive @ A_27a ) @ V0R ) )
% 5.66/5.92 & ( p @ ( ap @ ( c_2Erelation_2Etotal @ A_27a ) @ V0R ) ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( c_2Esorting_2ESORTED @ A_27a ) @ V0R ) @ ( ap @ ( ap @ ( c_2Emergesort_2Emergesort @ A_27a ) @ V0R ) @ V1l ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Emergesort_2Estable__cong,axiom,
% 5.66/5.92 ! [A_27a: del,V0R: $i] :
% 5.66/5.92 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ! [V1l1: $i] :
% 5.66/5.92 ( ( mem @ V1l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.92 => ! [V2l2: $i] :
% 5.66/5.92 ( ( mem @ V2l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.92 => ! [V3l3: $i] :
% 5.66/5.92 ( ( mem @ V3l3 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.92 => ! [V4l4: $i] :
% 5.66/5.92 ( ( mem @ V4l4 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.92 => ( ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2Estable @ A_27a ) @ V0R ) @ V1l1 ) @ V2l2 ) )
% 5.66/5.92 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2Estable @ A_27a ) @ V0R ) @ V3l3 ) @ V4l4 ) ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2Estable @ A_27a ) @ V0R ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V1l1 ) @ V3l3 ) ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V2l2 ) @ V4l4 ) ) ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Emergesort_2Estable__trans,axiom,
% 5.66/5.92 ! [A_27a: del,V0R: $i] :
% 5.66/5.92 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ! [V1l1: $i] :
% 5.66/5.92 ( ( mem @ V1l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.92 => ! [V2l2: $i] :
% 5.66/5.92 ( ( mem @ V2l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.92 => ! [V3l3: $i] :
% 5.66/5.92 ( ( mem @ V3l3 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.92 => ( ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2Estable @ A_27a ) @ V0R ) @ V1l1 ) @ V2l2 ) )
% 5.66/5.92 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2Estable @ A_27a ) @ V0R ) @ V2l2 ) @ V3l3 ) ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2Estable @ A_27a ) @ V0R ) @ V1l1 ) @ V3l3 ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Emergesort_2Esort2__stable,axiom,
% 5.66/5.92 ! [A_27a: del,V0R: $i] :
% 5.66/5.92 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ! [V1x: $i] :
% 5.66/5.92 ( ( mem @ V1x @ A_27a )
% 5.66/5.92 => ! [V2y: $i] :
% 5.66/5.92 ( ( mem @ V2y @ A_27a )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2Estable @ A_27a ) @ V0R ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1x ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2y ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2Esort2 @ A_27a ) @ V0R ) @ V1x ) @ V2y ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Emergesort_2Esort3__stable,axiom,
% 5.66/5.92 ! [A_27a: del,V0R: $i] :
% 5.66/5.92 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ! [V1x: $i] :
% 5.66/5.92 ( ( mem @ V1x @ A_27a )
% 5.66/5.92 => ! [V2y: $i] :
% 5.66/5.92 ( ( mem @ V2y @ A_27a )
% 5.66/5.92 => ! [V3z: $i] :
% 5.66/5.92 ( ( mem @ V3z @ A_27a )
% 5.66/5.92 => ( ( ( p @ ( ap @ ( c_2Erelation_2Etotal @ A_27a ) @ V0R ) )
% 5.66/5.92 & ( p @ ( ap @ ( c_2Erelation_2Etransitive @ A_27a ) @ V0R ) ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2Estable @ A_27a ) @ V0R ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V1x ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V2y ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ A_27a ) @ V3z ) @ ( c_2Elist_2ENIL @ A_27a ) ) ) ) ) @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2Esort3 @ A_27a ) @ V0R ) @ V1x ) @ V2y ) @ V3z ) ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Emergesort_2Efilter__merge,axiom,
% 5.66/5.92 ! [A_27a: del,V0P: $i] :
% 5.66/5.92 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ! [V1R: $i] :
% 5.66/5.92 ( ( mem @ V1R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ! [V2l1: $i] :
% 5.66/5.92 ( ( mem @ V2l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.92 => ! [V3l2: $i] :
% 5.66/5.92 ( ( mem @ V3l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.92 => ( ( ( p @ ( ap @ ( c_2Erelation_2Etransitive @ A_27a ) @ V1R ) )
% 5.66/5.92 & ! [V4x: $i] :
% 5.66/5.92 ( ( mem @ V4x @ A_27a )
% 5.66/5.92 => ! [V5y: $i] :
% 5.66/5.92 ( ( mem @ V5y @ A_27a )
% 5.66/5.92 => ( ( ( p @ ( ap @ V0P @ V4x ) )
% 5.66/5.92 & ( p @ ( ap @ V0P @ V5y ) ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ V1R @ V4x ) @ V5y ) ) ) ) )
% 5.66/5.92 & ( p @ ( ap @ ( ap @ ( c_2Esorting_2ESORTED @ A_27a ) @ V1R ) @ V2l1 ) ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( c_2Elist_2EFILTER @ A_27a ) @ V0P ) @ ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2Emerge @ A_27a ) @ V1R ) @ V2l1 ) @ V3l2 ) )
% 5.66/5.92 = ( ap @ ( ap @ ( c_2Elist_2EFILTER @ A_27a ) @ V0P ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V2l1 ) @ V3l2 ) ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Emergesort_2Emerge__stable,axiom,
% 5.66/5.92 ! [A_27a: del,V0R: $i] :
% 5.66/5.92 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ! [V1l1: $i] :
% 5.66/5.92 ( ( mem @ V1l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.92 => ! [V2l2: $i] :
% 5.66/5.92 ( ( mem @ V2l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.92 => ( ( ( p @ ( ap @ ( c_2Erelation_2Etransitive @ A_27a ) @ V0R ) )
% 5.66/5.92 & ( p @ ( ap @ ( ap @ ( c_2Esorting_2ESORTED @ A_27a ) @ V0R ) @ V1l1 ) ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2Estable @ A_27a ) @ V0R ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ V1l1 ) @ V2l2 ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2Emerge @ A_27a ) @ V0R ) @ V1l1 ) @ V2l2 ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Emergesort_2EmergesortN__stable,axiom,
% 5.66/5.92 ! [A_27a: del,V0R: $i] :
% 5.66/5.92 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ! [V1n: tp__ty_2Enum_2Enum,V2l: $i] :
% 5.66/5.92 ( ( mem @ V2l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.92 => ( ( ( p @ ( ap @ ( c_2Erelation_2Etotal @ A_27a ) @ V0R ) )
% 5.66/5.92 & ( p @ ( ap @ ( c_2Erelation_2Etransitive @ A_27a ) @ V0R ) ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2Estable @ A_27a ) @ V0R ) @ ( ap @ ( ap @ ( c_2Elist_2ETAKE @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ V2l ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2EmergesortN @ A_27a ) @ V0R ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ V2l ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Emergesort_2Emergesort__stable,axiom,
% 5.66/5.92 ! [A_27a: del,V0R: $i] :
% 5.66/5.92 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ! [V1l: $i] :
% 5.66/5.92 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.92 => ( ( ( p @ ( ap @ ( c_2Erelation_2Etransitive @ A_27a ) @ V0R ) )
% 5.66/5.92 & ( p @ ( ap @ ( c_2Erelation_2Etotal @ A_27a ) @ V0R ) ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2Estable @ A_27a ) @ V0R ) @ V1l ) @ ( ap @ ( ap @ ( c_2Emergesort_2Emergesort @ A_27a ) @ V0R ) @ V1l ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Emergesort_2Emergesort__STABLE__SORT,axiom,
% 5.66/5.92 ! [A_27a: del,V0R: $i] :
% 5.66/5.92 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ( ( ( p @ ( ap @ ( c_2Erelation_2Etransitive @ A_27a ) @ V0R ) )
% 5.66/5.92 & ( p @ ( ap @ ( c_2Erelation_2Etotal @ A_27a ) @ V0R ) ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( c_2Esorting_2ESTABLE @ A_27a ) @ ( c_2Emergesort_2Emergesort @ A_27a ) ) @ V0R ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Emergesort_2Emergesort__mem,axiom,
% 5.66/5.92 ! [A_27a: del,V0R: $i] :
% 5.66/5.92 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ! [V1L: $i] :
% 5.66/5.92 ( ( mem @ V1L @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.92 => ! [V2x: $i] :
% 5.66/5.92 ( ( mem @ V2x @ A_27a )
% 5.66/5.92 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ ( ap @ ( ap @ ( c_2Emergesort_2Emergesort @ A_27a ) @ V0R ) @ V1L ) ) ) )
% 5.66/5.92 <=> ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V1L ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Emergesort_2Esort2__tail__correct,axiom,
% 5.66/5.92 ! [A_27a: del,V0neg: $i] :
% 5.66/5.92 ( ( mem @ V0neg @ bool )
% 5.66/5.92 => ! [V1R: $i] :
% 5.66/5.92 ( ( mem @ V1R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ! [V2x: $i] :
% 5.66/5.92 ( ( mem @ V2x @ A_27a )
% 5.66/5.92 => ! [V3y: $i] :
% 5.66/5.92 ( ( mem @ V3y @ A_27a )
% 5.66/5.92 => ( ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2Esort2__tail @ A_27a ) @ V0neg ) @ V1R ) @ V2x ) @ V3y )
% 5.66/5.92 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Elist_2Elist @ A_27a ) ) @ V0neg ) @ ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2Esort2 @ A_27a ) @ V1R ) @ V2x ) @ V3y ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2Esort2 @ A_27a ) @ V1R ) @ V2x ) @ V3y ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Emergesort_2Esort3__tail__correct,axiom,
% 5.66/5.92 ! [A_27a: del,V0neg: $i] :
% 5.66/5.92 ( ( mem @ V0neg @ bool )
% 5.66/5.92 => ! [V1R: $i] :
% 5.66/5.92 ( ( mem @ V1R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ! [V2x: $i] :
% 5.66/5.92 ( ( mem @ V2x @ A_27a )
% 5.66/5.92 => ! [V3y: $i] :
% 5.66/5.92 ( ( mem @ V3y @ A_27a )
% 5.66/5.92 => ! [V4z: $i] :
% 5.66/5.92 ( ( mem @ V4z @ A_27a )
% 5.66/5.92 => ( ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2Esort3__tail @ A_27a ) @ V0neg ) @ V1R ) @ V2x ) @ V3y ) @ V4z )
% 5.66/5.92 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Elist_2Elist @ A_27a ) ) @ V0neg ) @ ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2Esort3 @ A_27a ) @ V1R ) @ V2x ) @ V3y ) @ V4z ) ) ) @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2Esort3 @ A_27a ) @ V1R ) @ V2x ) @ V3y ) @ V4z ) ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Emergesort_2Emerge__tail__correct1,axiom,
% 5.66/5.92 ! [A_27a: del,V0neg: $i] :
% 5.66/5.92 ( ( mem @ V0neg @ bool )
% 5.66/5.92 => ! [V1R: $i] :
% 5.66/5.92 ( ( mem @ V1R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ! [V2l1: $i] :
% 5.66/5.92 ( ( mem @ V2l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.92 => ! [V3l2: $i] :
% 5.66/5.92 ( ( mem @ V3l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.92 => ! [V4acc: $i] :
% 5.66/5.92 ( ( mem @ V4acc @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.92 => ( ( ( p @ V0neg )
% 5.66/5.92 <=> $false )
% 5.66/5.92 => ( ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2Emerge__tail @ A_27a ) @ V0neg ) @ V1R ) @ V2l1 ) @ V3l2 ) @ V4acc )
% 5.66/5.92 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2Emerge @ A_27a ) @ V1R ) @ V2l1 ) @ V3l2 ) ) ) @ V4acc ) ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Emergesort_2Emerge__empty,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.66/5.92 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ! [V1l: $i] :
% 5.66/5.92 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.92 => ! [V2acc: $i] :
% 5.66/5.92 ( ( mem @ V2acc @ A_27b )
% 5.66/5.92 => ( ( ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2Emerge @ A_27a ) @ V0R ) @ V1l ) @ ( c_2Elist_2ENIL @ A_27a ) )
% 5.66/5.92 = V1l )
% 5.66/5.92 & ( ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2Emerge @ A_27a ) @ V0R ) @ ( c_2Elist_2ENIL @ A_27a ) ) @ V1l )
% 5.66/5.92 = V1l ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Emergesort_2Emerge__tail__correct2,axiom,
% 5.66/5.92 ! [A_27a: del,V0neg: $i] :
% 5.66/5.92 ( ( mem @ V0neg @ bool )
% 5.66/5.92 => ! [V1R: $i] :
% 5.66/5.92 ( ( mem @ V1R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ! [V2l1: $i] :
% 5.66/5.92 ( ( mem @ V2l1 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.92 => ! [V3l2: $i] :
% 5.66/5.92 ( ( mem @ V3l2 @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.92 => ! [V4acc: $i] :
% 5.66/5.92 ( ( mem @ V4acc @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.92 => ( ( ( ( p @ V0neg )
% 5.66/5.92 <=> $true )
% 5.66/5.92 & ( p @ ( ap @ ( c_2Erelation_2Etransitive @ A_27a ) @ V1R ) )
% 5.66/5.92 & ( p @ ( ap @ ( ap @ ( c_2Esorting_2ESORTED @ A_27a ) @ V1R ) @ ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ V2l1 ) ) )
% 5.66/5.92 & ( p @ ( ap @ ( ap @ ( c_2Esorting_2ESORTED @ A_27a ) @ V1R ) @ ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ V3l2 ) ) ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2Emerge__tail @ A_27a ) @ V0neg ) @ V1R ) @ V2l1 ) @ V3l2 ) @ V4acc )
% 5.66/5.92 = ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ A_27a ) @ ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2Emerge @ A_27a ) @ V1R ) @ ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ V2l1 ) ) @ ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ V3l2 ) ) ) @ V4acc ) ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Emergesort_2EmergesortN__correct,axiom,
% 5.66/5.92 ! [A_27a: del,V0negate: $i] :
% 5.66/5.92 ( ( mem @ V0negate @ bool )
% 5.66/5.92 => ! [V1R: $i] :
% 5.66/5.92 ( ( mem @ V1R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ! [V2n: tp__ty_2Enum_2Enum,V3l: $i] :
% 5.66/5.92 ( ( mem @ V3l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.92 => ( ( ( p @ ( ap @ ( c_2Erelation_2Etotal @ A_27a ) @ V1R ) )
% 5.66/5.92 & ( p @ ( ap @ ( c_2Erelation_2Etransitive @ A_27a ) @ V1R ) ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2EmergesortN__tail @ A_27a ) @ V0negate ) @ V1R ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ V3l )
% 5.66/5.92 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Elist_2Elist @ A_27a ) ) @ V0negate ) @ ( ap @ ( c_2Elist_2EREVERSE @ A_27a ) @ ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2EmergesortN @ A_27a ) @ V1R ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ V3l ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Emergesort_2EmergesortN @ A_27a ) @ V1R ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) @ V3l ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Emergesort_2Emergesort__tail__correct,axiom,
% 5.66/5.92 ! [A_27a: del,V0R: $i] :
% 5.66/5.92 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) )
% 5.66/5.92 => ! [V1l: $i] :
% 5.66/5.92 ( ( mem @ V1l @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.92 => ( ( ( p @ ( ap @ ( c_2Erelation_2Etotal @ A_27a ) @ V0R ) )
% 5.66/5.92 & ( p @ ( ap @ ( c_2Erelation_2Etransitive @ A_27a ) @ V0R ) ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( c_2Emergesort_2Emergesort__tail @ A_27a ) @ V0R ) @ V1l )
% 5.66/5.92 = ( ap @ ( ap @ ( c_2Emergesort_2Emergesort @ A_27a ) @ V0R ) @ V1l ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 %------------------------------------------------------------------------------
% 5.66/5.92 %------------------------------------------------------------------------------
% 5.66/5.92 thf(stp_c_ty_2Esum_2Esum_ty_2Enum_2Enum_ty_2Enum_2Enum,type,
% 5.66/5.92 tp__c_ty_2Esum_2Esum_ty_2Enum_2Enum_ty_2Enum_2Enum: $tType ).
% 5.66/5.92
% 5.66/5.92 thf(stp_inj_c_ty_2Esum_2Esum_ty_2Enum_2Enum_ty_2Enum_2Enum,type,
% 5.66/5.92 inj__c_ty_2Esum_2Esum_ty_2Enum_2Enum_ty_2Enum_2Enum: tp__c_ty_2Esum_2Esum_ty_2Enum_2Enum_ty_2Enum_2Enum > $i ).
% 5.66/5.92
% 5.66/5.92 thf(stp_surj_c_ty_2Esum_2Esum_ty_2Enum_2Enum_ty_2Enum_2Enum,type,
% 5.66/5.92 surj__c_ty_2Esum_2Esum_ty_2Enum_2Enum_ty_2Enum_2Enum: $i > tp__c_ty_2Esum_2Esum_ty_2Enum_2Enum_ty_2Enum_2Enum ).
% 5.66/5.92
% 5.66/5.92 thf(stp_inj_surj_c_ty_2Esum_2Esum_ty_2Enum_2Enum_ty_2Enum_2Enum,axiom,
% 5.66/5.92 ! [X: tp__c_ty_2Esum_2Esum_ty_2Enum_2Enum_ty_2Enum_2Enum] :
% 5.66/5.92 ( ( surj__c_ty_2Esum_2Esum_ty_2Enum_2Enum_ty_2Enum_2Enum @ ( inj__c_ty_2Esum_2Esum_ty_2Enum_2Enum_ty_2Enum_2Enum @ X ) )
% 5.66/5.92 = X ) ).
% 5.66/5.92
% 5.66/5.92 thf(stp_inj_mem_c_ty_2Esum_2Esum_ty_2Enum_2Enum_ty_2Enum_2Enum,axiom,
% 5.66/5.92 ! [X: tp__c_ty_2Esum_2Esum_ty_2Enum_2Enum_ty_2Enum_2Enum] : ( mem @ ( inj__c_ty_2Esum_2Esum_ty_2Enum_2Enum_ty_2Enum_2Enum @ X ) @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(stp_iso_mem_c_ty_2Esum_2Esum_ty_2Enum_2Enum_ty_2Enum_2Enum,axiom,
% 5.66/5.92 ! [X: $i] :
% 5.66/5.92 ( ( mem @ X @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
% 5.66/5.92 => ( X
% 5.66/5.92 = ( inj__c_ty_2Esum_2Esum_ty_2Enum_2Enum_ty_2Enum_2Enum @ ( surj__c_ty_2Esum_2Esum_ty_2Enum_2Enum_ty_2Enum_2Enum @ X ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(tp_c_2Estring__num_2En2nsum,type,
% 5.66/5.92 c_2Estring__num_2En2nsum: $i ).
% 5.66/5.92
% 5.66/5.92 thf(mem_c_2Estring__num_2En2nsum,axiom,
% 5.66/5.92 mem @ c_2Estring__num_2En2nsum @ ( arr @ ty_2Enum_2Enum @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(tp_c_2Estring__num_2En2s,type,
% 5.66/5.92 c_2Estring__num_2En2s: $i ).
% 5.66/5.92
% 5.66/5.92 thf(mem_c_2Estring__num_2En2s,axiom,
% 5.66/5.92 mem @ c_2Estring__num_2En2s @ ( arr @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(tp_c_2Estring__num_2Ensum2n,type,
% 5.66/5.92 c_2Estring__num_2Ensum2n: $i ).
% 5.66/5.92
% 5.66/5.92 thf(mem_c_2Estring__num_2Ensum2n,axiom,
% 5.66/5.92 mem @ c_2Estring__num_2Ensum2n @ ( arr @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ty_2Enum_2Enum ) ).
% 5.66/5.92
% 5.66/5.92 thf(stp_fo_c_2Estring__num_2Ensum2n,type,
% 5.66/5.92 fo__c_2Estring__num_2Ensum2n: tp__c_ty_2Esum_2Esum_ty_2Enum_2Enum_ty_2Enum_2Enum > tp__ty_2Enum_2Enum ).
% 5.66/5.92
% 5.66/5.92 thf(stp_eq_fo_c_2Estring__num_2Ensum2n,axiom,
% 5.66/5.92 ! [X0: tp__c_ty_2Esum_2Esum_ty_2Enum_2Enum_ty_2Enum_2Enum] :
% 5.66/5.92 ( ( inj__ty_2Enum_2Enum @ ( fo__c_2Estring__num_2Ensum2n @ X0 ) )
% 5.66/5.92 = ( ap @ c_2Estring__num_2Ensum2n @ ( inj__c_ty_2Esum_2Esum_ty_2Enum_2Enum_ty_2Enum_2Enum @ X0 ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(tp_c_2Estring__num_2Es2n,type,
% 5.66/5.92 c_2Estring__num_2Es2n: $i ).
% 5.66/5.92
% 5.66/5.92 thf(mem_c_2Estring__num_2Es2n,axiom,
% 5.66/5.92 mem @ c_2Estring__num_2Es2n @ ( arr @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ ty_2Enum_2Enum ) ).
% 5.66/5.92
% 5.66/5.92 thf(stp_fo_c_2Estring__num_2Es2n,type,
% 5.66/5.92 fo__c_2Estring__num_2Es2n: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar > tp__ty_2Enum_2Enum ).
% 5.66/5.92
% 5.66/5.92 thf(stp_eq_fo_c_2Estring__num_2Es2n,axiom,
% 5.66/5.92 ! [X0: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar] :
% 5.66/5.92 ( ( inj__ty_2Enum_2Enum @ ( fo__c_2Estring__num_2Es2n @ X0 ) )
% 5.66/5.92 = ( ap @ c_2Estring__num_2Es2n @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ X0 ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(stp_c_ty_2Esum_2Esum_c_ty_2Elist_2Elist_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar,type,
% 5.66/5.92 tp__c_ty_2Esum_2Esum_c_ty_2Elist_2Elist_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar: $tType ).
% 5.66/5.92
% 5.66/5.92 thf(stp_inj_c_ty_2Esum_2Esum_c_ty_2Elist_2Elist_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar,type,
% 5.66/5.92 inj__c_ty_2Esum_2Esum_c_ty_2Elist_2Elist_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar: tp__c_ty_2Esum_2Esum_c_ty_2Elist_2Elist_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar > $i ).
% 5.66/5.92
% 5.66/5.92 thf(stp_surj_c_ty_2Esum_2Esum_c_ty_2Elist_2Elist_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar,type,
% 5.66/5.92 surj__c_ty_2Esum_2Esum_c_ty_2Elist_2Elist_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar: $i > tp__c_ty_2Esum_2Esum_c_ty_2Elist_2Elist_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar ).
% 5.66/5.92
% 5.66/5.92 thf(stp_inj_surj_c_ty_2Esum_2Esum_c_ty_2Elist_2Elist_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar,axiom,
% 5.66/5.92 ! [X: tp__c_ty_2Esum_2Esum_c_ty_2Elist_2Elist_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar] :
% 5.66/5.92 ( ( surj__c_ty_2Esum_2Esum_c_ty_2Elist_2Elist_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( inj__c_ty_2Esum_2Esum_c_ty_2Elist_2Elist_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar @ X ) )
% 5.66/5.92 = X ) ).
% 5.66/5.92
% 5.66/5.92 thf(stp_inj_mem_c_ty_2Esum_2Esum_c_ty_2Elist_2Elist_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar,axiom,
% 5.66/5.92 ! [X: tp__c_ty_2Esum_2Esum_c_ty_2Elist_2Elist_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar] : ( mem @ ( inj__c_ty_2Esum_2Esum_c_ty_2Elist_2Elist_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar @ X ) @ ( ty_2Esum_2Esum @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(stp_iso_mem_c_ty_2Esum_2Esum_c_ty_2Elist_2Elist_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar,axiom,
% 5.66/5.92 ! [X: $i] :
% 5.66/5.92 ( ( mem @ X @ ( ty_2Esum_2Esum @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) )
% 5.66/5.92 => ( X
% 5.66/5.92 = ( inj__c_ty_2Esum_2Esum_c_ty_2Elist_2Elist_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( surj__c_ty_2Esum_2Esum_c_ty_2Elist_2Elist_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar @ X ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(tp_c_2Estring__num_2Es2ssum,type,
% 5.66/5.92 c_2Estring__num_2Es2ssum: $i ).
% 5.66/5.92
% 5.66/5.92 thf(mem_c_2Estring__num_2Es2ssum,axiom,
% 5.66/5.92 mem @ c_2Estring__num_2Es2ssum @ ( arr @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ ( ty_2Esum_2Esum @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(tp_c_2Estring__num_2Essum2s,type,
% 5.66/5.92 c_2Estring__num_2Essum2s: $i ).
% 5.66/5.92
% 5.66/5.92 thf(mem_c_2Estring__num_2Essum2s,axiom,
% 5.66/5.92 mem @ c_2Estring__num_2Essum2s @ ( arr @ ( ty_2Esum_2Esum @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(ax_thm_2Estring__num_2En2s__primitive__def,axiom,
% 5.66/5.92 ( c_2Estring__num_2En2s
% 5.66/5.92 = ( ap
% 5.66/5.92 @ ( ap @ ( c_2Erelation_2EWFREC @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) )
% 5.66/5.92 @ ( ap @ ( c_2Emin_2E_40 @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ bool ) ) )
% 5.66/5.92 @ ( lam @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.92 @ ^ [V0R: $i] :
% 5.66/5.92 ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( c_2Erelation_2EWF @ ty_2Enum_2Enum ) @ V0R ) )
% 5.66/5.92 @ ( ap @ ( c_2Ebool_2E_21 @ ty_2Enum_2Enum )
% 5.66/5.92 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.92 @ ^ [V1n: $i] :
% 5.66/5.92 ( ap @ ( c_2Ebool_2E_21 @ ty_2Enum_2Enum )
% 5.66/5.92 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.92 @ ^ [V2r0: $i] :
% 5.66/5.92 ( ap @ ( c_2Ebool_2E_21 @ ty_2Enum_2Enum )
% 5.66/5.92 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.92 @ ^ [V3r: $i] : ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ c_2Ebool_2E_7E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ V1n ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ) @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ V2r0 ) @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ V1n ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ V3r ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ V2r0 ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) ) @ V2r0 ) ) ) ) ) @ ( ap @ ( ap @ V0R @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ V1n ) @ V3r ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) ) ) @ V1n ) ) ) ) ) ) ) ) ) ) ) )
% 5.66/5.92 @ ( lam @ ( arr @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) )
% 5.66/5.92 @ ^ [V4n2s: $i] :
% 5.66/5.92 ( lam @ ty_2Enum_2Enum
% 5.66/5.92 @ ^ [V5a: $i] :
% 5.66/5.92 ( ap @ ( c_2Ecombin_2EI @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) )
% 5.66/5.92 @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ V5a ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) @ ( c_2Elist_2ENIL @ ty_2Estring_2Echar ) )
% 5.66/5.92 @ ( ap
% 5.66/5.92 @ ( ap @ ( c_2Ebool_2ELET @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) )
% 5.66/5.92 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.92 @ ^ [V6r0: $i] :
% 5.66/5.92 ( ap
% 5.66/5.92 @ ( ap @ ( c_2Ebool_2ELET @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) )
% 5.66/5.92 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.92 @ ^ [V7r: $i] :
% 5.66/5.92 ( ap
% 5.66/5.92 @ ( ap @ ( c_2Ebool_2ELET @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) )
% 5.66/5.92 @ ( lam @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar )
% 5.66/5.92 @ ^ [V8s0: $i] : ( ap @ ( ap @ ( c_2Elist_2ECONS @ ty_2Estring_2Echar ) @ ( ap @ c_2Estring_2ECHR @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ V7r ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ V8s0 ) ) )
% 5.66/5.92 @ ( ap @ V4n2s @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ V5a ) @ V7r ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.66/5.92 @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ V6r0 ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) ) @ V6r0 ) ) ) )
% 5.66/5.92 @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ V5a ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Estring__num_2En2s__ind,axiom,
% 5.66/5.92 ! [V0P: $i] :
% 5.66/5.92 ( ( mem @ V0P @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.92 => ( ! [V1n: tp__ty_2Enum_2Enum] :
% 5.66/5.92 ( ! [V2r0: tp__ty_2Enum_2Enum,V3r: tp__ty_2Enum_2Enum] :
% 5.66/5.92 ( ( ( V1n != fo__c_2Enum_2E0 )
% 5.66/5.92 & ( V2r0
% 5.66/5.92 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.66/5.92 & ( V3r
% 5.66/5.92 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V2r0 ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V2r0 ) ) ) ) )
% 5.66/5.92 => ( p @ ( ap @ V0P @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V3r ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.66/5.92 => ( p @ ( ap @ V0P @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.66/5.92 => ! [V4v: tp__ty_2Enum_2Enum] : ( p @ ( ap @ V0P @ ( inj__ty_2Enum_2Enum @ V4v ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Estring__num_2En2s__def,axiom,
% 5.66/5.92 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.66/5.92 ( ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ c_2Estring__num_2En2s @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.66/5.92 = ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar
% 5.66/5.92 @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) @ ( c_2Elist_2ENIL @ ty_2Estring_2Echar ) )
% 5.66/5.92 @ ( ap
% 5.66/5.92 @ ( ap @ ( c_2Ebool_2ELET @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) )
% 5.66/5.92 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.92 @ ^ [V1r0: $i] :
% 5.66/5.92 ( ap
% 5.66/5.92 @ ( ap @ ( c_2Ebool_2ELET @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) )
% 5.66/5.92 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.92 @ ^ [V2r: $i] :
% 5.66/5.92 ( ap
% 5.66/5.92 @ ( ap @ ( c_2Ebool_2ELET @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) )
% 5.66/5.92 @ ( lam @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar )
% 5.66/5.92 @ ^ [V3s0: $i] : ( ap @ ( ap @ ( c_2Elist_2ECONS @ ty_2Estring_2Echar ) @ ( ap @ c_2Estring_2ECHR @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ V2r ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ V3s0 ) ) )
% 5.66/5.92 @ ( ap @ c_2Estring__num_2En2s @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ V2r ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.66/5.92 @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ V1r0 ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) ) @ V1r0 ) ) ) )
% 5.66/5.92 @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(ax_thm_2Estring__num_2Es2n__def,axiom,
% 5.66/5.92 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Estring__num_2Es2n @ ( c_2Elist_2ENIL @ ty_2Estring_2Echar ) ) )
% 5.66/5.92 = fo__c_2Enum_2E0 )
% 5.66/5.92 & ! [V0c: tp__ty_2Estring_2Echar,V1s: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar] :
% 5.66/5.92 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Estring__num_2Es2n @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ty_2Estring_2Echar ) @ ( inj__ty_2Estring_2Echar @ V0c ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V1s ) ) ) )
% 5.66/5.92 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ c_2Estring__num_2Es2n @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V1s ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) ) ) @ ( ap @ c_2Estring_2EORD @ ( inj__ty_2Estring_2Echar @ V0c ) ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Estring__num_2Es2n__n2s,axiom,
% 5.66/5.92 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.66/5.92 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Estring__num_2Es2n @ ( ap @ c_2Estring__num_2En2s @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) )
% 5.66/5.92 = V0n ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Estring__num_2En2s__s2n,axiom,
% 5.66/5.92 ! [V0s: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar] :
% 5.66/5.92 ( ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ c_2Estring__num_2En2s @ ( ap @ c_2Estring__num_2Es2n @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V0s ) ) ) )
% 5.66/5.92 = V0s ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Estring__num_2En2s__11,axiom,
% 5.66/5.92 ! [V0x: tp__ty_2Enum_2Enum,V1y: tp__ty_2Enum_2Enum] :
% 5.66/5.92 ( ( ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ c_2Estring__num_2En2s @ ( inj__ty_2Enum_2Enum @ V0x ) ) )
% 5.66/5.92 = ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ c_2Estring__num_2En2s @ ( inj__ty_2Enum_2Enum @ V1y ) ) ) )
% 5.66/5.92 <=> ( V0x = V1y ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Estring__num_2Es2n__11,axiom,
% 5.66/5.92 ! [V0x: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar,V1y: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar] :
% 5.66/5.92 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Estring__num_2Es2n @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V0x ) ) )
% 5.66/5.92 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Estring__num_2Es2n @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V1y ) ) ) )
% 5.66/5.92 <=> ( V0x = V1y ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Estring__num_2En2s__onto,axiom,
% 5.66/5.92 ! [V0s: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar] :
% 5.66/5.92 ? [V1n: tp__ty_2Enum_2Enum] :
% 5.66/5.92 ( V0s
% 5.66/5.92 = ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ c_2Estring__num_2En2s @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Estring__num_2Es2n__onto,axiom,
% 5.66/5.92 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.66/5.92 ? [V1s: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar] :
% 5.66/5.92 ( V0n
% 5.66/5.92 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Estring__num_2Es2n @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V1s ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(ax_thm_2Estring__num_2En2nsum__def,axiom,
% 5.66/5.92 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.66/5.92 ( ( surj__c_ty_2Esum_2Esum_ty_2Enum_2Enum_ty_2Enum_2Enum @ ( ap @ c_2Estring__num_2En2nsum @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.66/5.92 = ( surj__c_ty_2Esum_2Esum_ty_2Enum_2Enum_ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ) @ ( ap @ c_2Earithmetic_2EODD @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( ap @ ( c_2Esum_2EINL @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( c_2Esum_2EINR @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ c_2Earithmetic_2EDIV @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(ax_thm_2Estring__num_2Ensum2n__def,axiom,
% 5.66/5.92 ( ! [V0n: tp__ty_2Enum_2Enum] :
% 5.66/5.92 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Estring__num_2Ensum2n @ ( ap @ ( c_2Esum_2EINL @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) )
% 5.66/5.92 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.66/5.92 & ! [V1n: tp__ty_2Enum_2Enum] :
% 5.66/5.92 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Estring__num_2Ensum2n @ ( ap @ ( c_2Esum_2EINR @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.66/5.92 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Estring__num_2En2nsum__nsum2n,axiom,
% 5.66/5.92 ! [V0ns: tp__c_ty_2Esum_2Esum_ty_2Enum_2Enum_ty_2Enum_2Enum] :
% 5.66/5.92 ( ( surj__c_ty_2Esum_2Esum_ty_2Enum_2Enum_ty_2Enum_2Enum @ ( ap @ c_2Estring__num_2En2nsum @ ( ap @ c_2Estring__num_2Ensum2n @ ( inj__c_ty_2Esum_2Esum_ty_2Enum_2Enum_ty_2Enum_2Enum @ V0ns ) ) ) )
% 5.66/5.92 = V0ns ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Estring__num_2Ensum2n__n2nsum,axiom,
% 5.66/5.92 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.66/5.92 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Estring__num_2Ensum2n @ ( ap @ c_2Estring__num_2En2nsum @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) )
% 5.66/5.92 = V0n ) ).
% 5.66/5.92
% 5.66/5.92 thf(ax_thm_2Estring__num_2Es2ssum__def,axiom,
% 5.66/5.92 ! [V0s: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar] :
% 5.66/5.92 ( ( surj__c_ty_2Esum_2Esum_c_ty_2Elist_2Elist_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ c_2Estring__num_2Es2ssum @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V0s ) ) )
% 5.66/5.92 = ( surj__c_ty_2Esum_2Esum_c_ty_2Elist_2Elist_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ ( ap @ ( ap @ ( c_2Esum_2E_2B_2B @ ty_2Enum_2Enum @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) @ c_2Estring__num_2En2s ) @ c_2Estring__num_2En2s ) @ ( ap @ c_2Estring__num_2En2nsum @ ( ap @ c_2Estring__num_2Es2n @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V0s ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(ax_thm_2Estring__num_2Essum2s__def,axiom,
% 5.66/5.92 ! [V0sm: tp__c_ty_2Esum_2Esum_c_ty_2Elist_2Elist_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar] :
% 5.66/5.92 ( ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ c_2Estring__num_2Essum2s @ ( inj__c_ty_2Esum_2Esum_c_ty_2Elist_2Elist_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V0sm ) ) )
% 5.66/5.92 = ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ c_2Estring__num_2En2s @ ( ap @ c_2Estring__num_2Ensum2n @ ( ap @ ( ap @ ( ap @ ( c_2Esum_2E_2B_2B @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ c_2Estring__num_2Es2n ) @ c_2Estring__num_2Es2n ) @ ( inj__c_ty_2Esum_2Esum_c_ty_2Elist_2Elist_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V0sm ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Estring__num_2Es2ssum__ssum2s,axiom,
% 5.66/5.92 ! [V0sm: tp__c_ty_2Esum_2Esum_c_ty_2Elist_2Elist_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar] :
% 5.66/5.92 ( ( surj__c_ty_2Esum_2Esum_c_ty_2Elist_2Elist_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ c_2Estring__num_2Es2ssum @ ( ap @ c_2Estring__num_2Essum2s @ ( inj__c_ty_2Esum_2Esum_c_ty_2Elist_2Elist_ty_2Estring_2Echar_c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V0sm ) ) ) )
% 5.66/5.92 = V0sm ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Estring__num_2Essum2s__s2ssum,axiom,
% 5.66/5.92 ! [V0s: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar] :
% 5.66/5.92 ( ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ c_2Estring__num_2Essum2s @ ( ap @ c_2Estring__num_2Es2ssum @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V0s ) ) ) )
% 5.66/5.92 = V0s ) ).
% 5.66/5.92
% 5.66/5.92 %------------------------------------------------------------------------------
% 5.66/5.92 %------------------------------------------------------------------------------
% 5.66/5.92 thf(tp_ty_2Ering_2Ering,type,
% 5.66/5.92 ty_2Ering_2Ering: del > del ).
% 5.66/5.92
% 5.66/5.92 thf(tp_c_2Ering_2Eis__ring,type,
% 5.66/5.92 c_2Ering_2Eis__ring: del > $i ).
% 5.66/5.92
% 5.66/5.92 thf(mem_c_2Ering_2Eis__ring,axiom,
% 5.66/5.92 ! [A_27a: del] : ( mem @ ( c_2Ering_2Eis__ring @ A_27a ) @ ( arr @ ( ty_2Ering_2Ering @ A_27a ) @ bool ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(tp_c_2Ering_2Erecordtype_2Ering,type,
% 5.66/5.92 c_2Ering_2Erecordtype_2Ering: del > $i ).
% 5.66/5.92
% 5.66/5.92 thf(mem_c_2Ering_2Erecordtype_2Ering,axiom,
% 5.66/5.92 ! [A_27a: del] : ( mem @ ( c_2Ering_2Erecordtype_2Ering @ A_27a ) @ ( arr @ A_27a @ ( arr @ A_27a @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ ( arr @ A_27a @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(tp_c_2Ering_2Ering__CASE,type,
% 5.66/5.92 c_2Ering_2Ering__CASE: del > del > $i ).
% 5.66/5.92
% 5.66/5.92 thf(mem_c_2Ering_2Ering__CASE,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Ering_2Ering__CASE @ A_27a @ A_27b ) @ ( arr @ ( ty_2Ering_2Ering @ A_27a ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ ( arr @ A_27a @ A_27a ) @ A_27b ) ) ) ) ) @ A_27b ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(tp_c_2Ering_2Ering__R0,type,
% 5.66/5.92 c_2Ering_2Ering__R0: del > $i ).
% 5.66/5.92
% 5.66/5.92 thf(mem_c_2Ering_2Ering__R0,axiom,
% 5.66/5.92 ! [A_27a: del] : ( mem @ ( c_2Ering_2Ering__R0 @ A_27a ) @ ( arr @ ( ty_2Ering_2Ering @ A_27a ) @ A_27a ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(tp_c_2Ering_2Ering__R0__fupd,type,
% 5.66/5.92 c_2Ering_2Ering__R0__fupd: del > $i ).
% 5.66/5.92
% 5.66/5.92 thf(mem_c_2Ering_2Ering__R0__fupd,axiom,
% 5.66/5.92 ! [A_27a: del] : ( mem @ ( c_2Ering_2Ering__R0__fupd @ A_27a ) @ ( arr @ ( arr @ A_27a @ A_27a ) @ ( arr @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(tp_c_2Ering_2Ering__R1,type,
% 5.66/5.92 c_2Ering_2Ering__R1: del > $i ).
% 5.66/5.92
% 5.66/5.92 thf(mem_c_2Ering_2Ering__R1,axiom,
% 5.66/5.92 ! [A_27a: del] : ( mem @ ( c_2Ering_2Ering__R1 @ A_27a ) @ ( arr @ ( ty_2Ering_2Ering @ A_27a ) @ A_27a ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(tp_c_2Ering_2Ering__R1__fupd,type,
% 5.66/5.92 c_2Ering_2Ering__R1__fupd: del > $i ).
% 5.66/5.92
% 5.66/5.92 thf(mem_c_2Ering_2Ering__R1__fupd,axiom,
% 5.66/5.92 ! [A_27a: del] : ( mem @ ( c_2Ering_2Ering__R1__fupd @ A_27a ) @ ( arr @ ( arr @ A_27a @ A_27a ) @ ( arr @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(tp_c_2Ering_2Ering__RM,type,
% 5.66/5.92 c_2Ering_2Ering__RM: del > $i ).
% 5.66/5.92
% 5.66/5.92 thf(mem_c_2Ering_2Ering__RM,axiom,
% 5.66/5.92 ! [A_27a: del] : ( mem @ ( c_2Ering_2Ering__RM @ A_27a ) @ ( arr @ ( ty_2Ering_2Ering @ A_27a ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(tp_c_2Ering_2Ering__RM__fupd,type,
% 5.66/5.92 c_2Ering_2Ering__RM__fupd: del > $i ).
% 5.66/5.92
% 5.66/5.92 thf(mem_c_2Ering_2Ering__RM__fupd,axiom,
% 5.66/5.92 ! [A_27a: del] : ( mem @ ( c_2Ering_2Ering__RM__fupd @ A_27a ) @ ( arr @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) @ ( arr @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(tp_c_2Ering_2Ering__RN,type,
% 5.66/5.92 c_2Ering_2Ering__RN: del > $i ).
% 5.66/5.92
% 5.66/5.92 thf(mem_c_2Ering_2Ering__RN,axiom,
% 5.66/5.92 ! [A_27a: del] : ( mem @ ( c_2Ering_2Ering__RN @ A_27a ) @ ( arr @ ( ty_2Ering_2Ering @ A_27a ) @ ( arr @ A_27a @ A_27a ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(tp_c_2Ering_2Ering__RN__fupd,type,
% 5.66/5.92 c_2Ering_2Ering__RN__fupd: del > $i ).
% 5.66/5.92
% 5.66/5.92 thf(mem_c_2Ering_2Ering__RN__fupd,axiom,
% 5.66/5.92 ! [A_27a: del] : ( mem @ ( c_2Ering_2Ering__RN__fupd @ A_27a ) @ ( arr @ ( arr @ ( arr @ A_27a @ A_27a ) @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(tp_c_2Ering_2Ering__RP,type,
% 5.66/5.92 c_2Ering_2Ering__RP: del > $i ).
% 5.66/5.92
% 5.66/5.92 thf(mem_c_2Ering_2Ering__RP,axiom,
% 5.66/5.92 ! [A_27a: del] : ( mem @ ( c_2Ering_2Ering__RP @ A_27a ) @ ( arr @ ( ty_2Ering_2Ering @ A_27a ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(tp_c_2Ering_2Ering__RP__fupd,type,
% 5.66/5.92 c_2Ering_2Ering__RP__fupd: del > $i ).
% 5.66/5.92
% 5.66/5.92 thf(mem_c_2Ering_2Ering__RP__fupd,axiom,
% 5.66/5.92 ! [A_27a: del] : ( mem @ ( c_2Ering_2Ering__RP__fupd @ A_27a ) @ ( arr @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) @ ( arr @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(tp_c_2Ering_2Ering__size,type,
% 5.66/5.92 c_2Ering_2Ering__size: del > $i ).
% 5.66/5.92
% 5.66/5.92 thf(mem_c_2Ering_2Ering__size,axiom,
% 5.66/5.92 ! [A_27a: del] : ( mem @ ( c_2Ering_2Ering__size @ A_27a ) @ ( arr @ ( arr @ A_27a @ ty_2Enum_2Enum ) @ ( arr @ ( ty_2Ering_2Ering @ A_27a ) @ ty_2Enum_2Enum ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(tp_c_2Ering_2Esemi__ring__of,type,
% 5.66/5.92 c_2Ering_2Esemi__ring__of: del > $i ).
% 5.66/5.92
% 5.66/5.92 thf(mem_c_2Ering_2Esemi__ring__of,axiom,
% 5.66/5.92 ! [A_27a: del] : ( mem @ ( c_2Ering_2Esemi__ring__of @ A_27a ) @ ( arr @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Esemi__ring_2Esemi__ring @ A_27a ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(ax_thm_2Ering_2Ering__TY__DEF,axiom,
% 5.66/5.92 ! [A_27a: del] :
% 5.66/5.92 ? [V0rep: $i] :
% 5.66/5.92 ( ( mem @ V0rep @ ( arr @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Eind__type_2Erecspace @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ A_27a ) ) ) ) ) ) ) )
% 5.66/5.92 & ( p
% 5.66/5.92 @ ( ap
% 5.66/5.92 @ ( ap @ ( c_2Ebool_2ETYPE__DEFINITION @ ( ty_2Eind__type_2Erecspace @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ A_27a ) ) ) ) ) ) @ ( ty_2Ering_2Ering @ A_27a ) )
% 5.66/5.92 @ ( lam @ ( ty_2Eind__type_2Erecspace @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ A_27a ) ) ) ) ) )
% 5.66/5.92 @ ^ [V1a0_27: $i] :
% 5.66/5.92 ( ap @ ( c_2Ebool_2E_21 @ ( arr @ ( ty_2Eind__type_2Erecspace @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ A_27a ) ) ) ) ) ) @ bool ) )
% 5.66/5.92 @ ( lam @ ( arr @ ( ty_2Eind__type_2Erecspace @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ A_27a ) ) ) ) ) ) @ bool )
% 5.66/5.92 @ ^ [V2_27ring_27: $i] :
% 5.66/5.92 ( ap
% 5.66/5.92 @ ( ap @ c_2Emin_2E_3D_3D_3E
% 5.66/5.92 @ ( ap @ ( c_2Ebool_2E_21 @ ( ty_2Eind__type_2Erecspace @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ A_27a ) ) ) ) ) ) )
% 5.66/5.92 @ ( lam @ ( ty_2Eind__type_2Erecspace @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ A_27a ) ) ) ) ) )
% 5.66/5.92 @ ^ [V3a0_27: $i] :
% 5.66/5.92 ( ap
% 5.66/5.92 @ ( ap @ c_2Emin_2E_3D_3D_3E
% 5.66/5.92 @ ( ap @ ( c_2Ebool_2E_3F @ A_27a )
% 5.66/5.92 @ ( lam @ A_27a
% 5.66/5.92 @ ^ [V4a0: $i] :
% 5.66/5.92 ( ap @ ( c_2Ebool_2E_3F @ A_27a )
% 5.66/5.92 @ ( lam @ A_27a
% 5.66/5.92 @ ^ [V5a1: $i] :
% 5.66/5.92 ( ap @ ( c_2Ebool_2E_3F @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 @ ( lam @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.92 @ ^ [V6a2: $i] :
% 5.66/5.92 ( ap @ ( c_2Ebool_2E_3F @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 @ ( lam @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.92 @ ^ [V7a3: $i] :
% 5.66/5.92 ( ap @ ( c_2Ebool_2E_3F @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.92 @ ( lam @ ( arr @ A_27a @ A_27a )
% 5.66/5.92 @ ^ [V8a4: $i] :
% 5.66/5.92 ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Eind__type_2Erecspace @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ A_27a ) ) ) ) ) ) ) @ V3a0_27 )
% 5.66/5.92 @ ( ap
% 5.66/5.92 @ ( ap
% 5.66/5.92 @ ( ap
% 5.66/5.92 @ ( ap
% 5.66/5.92 @ ( ap
% 5.66/5.92 @ ( lam @ A_27a
% 5.66/5.92 @ ^ [V9a0: $i] :
% 5.66/5.92 ( lam @ A_27a
% 5.66/5.92 @ ^ [V10a1: $i] :
% 5.66/5.92 ( lam @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.92 @ ^ [V11a2: $i] :
% 5.66/5.92 ( lam @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.92 @ ^ [V12a3: $i] :
% 5.66/5.92 ( lam @ ( arr @ A_27a @ A_27a )
% 5.66/5.92 @ ^ [V13a4: $i] :
% 5.66/5.92 ( ap @ ( ap @ ( ap @ ( c_2Eind__type_2ECONSTR @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ A_27a ) ) ) ) ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ A_27a ) ) ) ) ) @ V9a0 ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ A_27a ) ) ) ) @ V10a1 ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ A_27a ) ) ) @ V11a2 ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ A_27a ) ) @ V12a3 ) @ V13a4 ) ) ) ) )
% 5.66/5.92 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.92 @ ^ [V14n: $i] : ( c_2Eind__type_2EBOTTOM @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( ty_2Epair_2Eprod @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.66/5.92 @ V4a0 )
% 5.66/5.92 @ V5a1 )
% 5.66/5.92 @ V6a2 )
% 5.66/5.92 @ V7a3 )
% 5.66/5.92 @ V8a4 ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.66/5.92 @ ( ap @ V2_27ring_27 @ V3a0_27 ) ) ) ) )
% 5.66/5.92 @ ( ap @ V2_27ring_27 @ V1a0_27 ) ) ) ) ) )
% 5.66/5.92 @ V0rep ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(ax_thm_2Ering_2Ering__case__def,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del,V0a0: $i] :
% 5.66/5.92 ( ( mem @ V0a0 @ A_27a )
% 5.66/5.92 => ! [V1a1: $i] :
% 5.66/5.92 ( ( mem @ V1a1 @ A_27a )
% 5.66/5.92 => ! [V2a2: $i] :
% 5.66/5.92 ( ( mem @ V2a2 @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 => ! [V3a3: $i] :
% 5.66/5.92 ( ( mem @ V3a3 @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 => ! [V4a4: $i] :
% 5.66/5.92 ( ( mem @ V4a4 @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.92 => ! [V5f: $i] :
% 5.66/5.92 ( ( mem @ V5f @ ( arr @ A_27a @ ( arr @ A_27a @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ ( arr @ A_27a @ A_27a ) @ A_27b ) ) ) ) ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( c_2Ering_2Ering__CASE @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Ering_2Erecordtype_2Ering @ A_27a ) @ V0a0 ) @ V1a1 ) @ V2a2 ) @ V3a3 ) @ V4a4 ) ) @ V5f )
% 5.66/5.92 = ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ V5f @ V0a0 ) @ V1a1 ) @ V2a2 ) @ V3a3 ) @ V4a4 ) ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(ax_thm_2Ering_2Ering__size__def,axiom,
% 5.66/5.92 ! [A_27a: del,V0f: $i] :
% 5.66/5.92 ( ( mem @ V0f @ ( arr @ A_27a @ ty_2Enum_2Enum ) )
% 5.66/5.92 => ! [V1a0: $i] :
% 5.66/5.92 ( ( mem @ V1a0 @ A_27a )
% 5.66/5.92 => ! [V2a1: $i] :
% 5.66/5.92 ( ( mem @ V2a1 @ A_27a )
% 5.66/5.92 => ! [V3a2: $i] :
% 5.66/5.92 ( ( mem @ V3a2 @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 => ! [V4a3: $i] :
% 5.66/5.92 ( ( mem @ V4a3 @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 => ! [V5a4: $i] :
% 5.66/5.92 ( ( mem @ V5a4 @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.92 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( c_2Ering_2Ering__size @ A_27a ) @ V0f ) @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Ering_2Erecordtype_2Ering @ A_27a ) @ V1a0 ) @ V2a1 ) @ V3a2 ) @ V4a3 ) @ V5a4 ) ) )
% 5.66/5.92 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ V0f @ V1a0 ) ) @ ( ap @ V0f @ V2a1 ) ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(ax_thm_2Ering_2Ering__R0,axiom,
% 5.66/5.92 ! [A_27a: del,V0a: $i] :
% 5.66/5.92 ( ( mem @ V0a @ A_27a )
% 5.66/5.92 => ! [V1a0: $i] :
% 5.66/5.92 ( ( mem @ V1a0 @ A_27a )
% 5.66/5.92 => ! [V2f: $i] :
% 5.66/5.92 ( ( mem @ V2f @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 => ! [V3f0: $i] :
% 5.66/5.92 ( ( mem @ V3f0 @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 => ! [V4f1: $i] :
% 5.66/5.92 ( ( mem @ V4f1 @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.92 => ( ( ap @ ( c_2Ering_2Ering__R0 @ A_27a ) @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Ering_2Erecordtype_2Ering @ A_27a ) @ V0a ) @ V1a0 ) @ V2f ) @ V3f0 ) @ V4f1 ) )
% 5.66/5.92 = V0a ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(ax_thm_2Ering_2Ering__R1,axiom,
% 5.66/5.92 ! [A_27a: del,V0a: $i] :
% 5.66/5.92 ( ( mem @ V0a @ A_27a )
% 5.66/5.92 => ! [V1a0: $i] :
% 5.66/5.92 ( ( mem @ V1a0 @ A_27a )
% 5.66/5.92 => ! [V2f: $i] :
% 5.66/5.92 ( ( mem @ V2f @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 => ! [V3f0: $i] :
% 5.66/5.92 ( ( mem @ V3f0 @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 => ! [V4f1: $i] :
% 5.66/5.92 ( ( mem @ V4f1 @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.92 => ( ( ap @ ( c_2Ering_2Ering__R1 @ A_27a ) @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Ering_2Erecordtype_2Ering @ A_27a ) @ V0a ) @ V1a0 ) @ V2f ) @ V3f0 ) @ V4f1 ) )
% 5.66/5.92 = V1a0 ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(ax_thm_2Ering_2Ering__RP,axiom,
% 5.66/5.92 ! [A_27a: del,V0a: $i] :
% 5.66/5.92 ( ( mem @ V0a @ A_27a )
% 5.66/5.92 => ! [V1a0: $i] :
% 5.66/5.92 ( ( mem @ V1a0 @ A_27a )
% 5.66/5.92 => ! [V2f: $i] :
% 5.66/5.92 ( ( mem @ V2f @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 => ! [V3f0: $i] :
% 5.66/5.92 ( ( mem @ V3f0 @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 => ! [V4f1: $i] :
% 5.66/5.92 ( ( mem @ V4f1 @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.92 => ( ( ap @ ( c_2Ering_2Ering__RP @ A_27a ) @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Ering_2Erecordtype_2Ering @ A_27a ) @ V0a ) @ V1a0 ) @ V2f ) @ V3f0 ) @ V4f1 ) )
% 5.66/5.92 = V2f ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(ax_thm_2Ering_2Ering__RM,axiom,
% 5.66/5.92 ! [A_27a: del,V0a: $i] :
% 5.66/5.92 ( ( mem @ V0a @ A_27a )
% 5.66/5.92 => ! [V1a0: $i] :
% 5.66/5.92 ( ( mem @ V1a0 @ A_27a )
% 5.66/5.92 => ! [V2f: $i] :
% 5.66/5.92 ( ( mem @ V2f @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 => ! [V3f0: $i] :
% 5.66/5.92 ( ( mem @ V3f0 @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 => ! [V4f1: $i] :
% 5.66/5.92 ( ( mem @ V4f1 @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.92 => ( ( ap @ ( c_2Ering_2Ering__RM @ A_27a ) @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Ering_2Erecordtype_2Ering @ A_27a ) @ V0a ) @ V1a0 ) @ V2f ) @ V3f0 ) @ V4f1 ) )
% 5.66/5.92 = V3f0 ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(ax_thm_2Ering_2Ering__RN,axiom,
% 5.66/5.92 ! [A_27a: del,V0a: $i] :
% 5.66/5.92 ( ( mem @ V0a @ A_27a )
% 5.66/5.92 => ! [V1a0: $i] :
% 5.66/5.92 ( ( mem @ V1a0 @ A_27a )
% 5.66/5.92 => ! [V2f: $i] :
% 5.66/5.92 ( ( mem @ V2f @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 => ! [V3f0: $i] :
% 5.66/5.92 ( ( mem @ V3f0 @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 => ! [V4f1: $i] :
% 5.66/5.92 ( ( mem @ V4f1 @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.92 => ( ( ap @ ( c_2Ering_2Ering__RN @ A_27a ) @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Ering_2Erecordtype_2Ering @ A_27a ) @ V0a ) @ V1a0 ) @ V2f ) @ V3f0 ) @ V4f1 ) )
% 5.66/5.92 = V4f1 ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ering_2Ering__accessors,axiom,
% 5.66/5.92 ! [A_27a: del] :
% 5.66/5.92 ( ! [V0a: $i] :
% 5.66/5.92 ( ( mem @ V0a @ A_27a )
% 5.66/5.92 => ! [V1a0: $i] :
% 5.66/5.92 ( ( mem @ V1a0 @ A_27a )
% 5.66/5.92 => ! [V2f: $i] :
% 5.66/5.92 ( ( mem @ V2f @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 => ! [V3f0: $i] :
% 5.66/5.92 ( ( mem @ V3f0 @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 => ! [V4f1: $i] :
% 5.66/5.92 ( ( mem @ V4f1 @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.92 => ( ( ap @ ( c_2Ering_2Ering__R0 @ A_27a ) @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Ering_2Erecordtype_2Ering @ A_27a ) @ V0a ) @ V1a0 ) @ V2f ) @ V3f0 ) @ V4f1 ) )
% 5.66/5.92 = V0a ) ) ) ) ) )
% 5.66/5.92 & ! [V5a: $i] :
% 5.66/5.92 ( ( mem @ V5a @ A_27a )
% 5.66/5.92 => ! [V6a0: $i] :
% 5.66/5.92 ( ( mem @ V6a0 @ A_27a )
% 5.66/5.92 => ! [V7f: $i] :
% 5.66/5.92 ( ( mem @ V7f @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 => ! [V8f0: $i] :
% 5.66/5.92 ( ( mem @ V8f0 @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 => ! [V9f1: $i] :
% 5.66/5.92 ( ( mem @ V9f1 @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.92 => ( ( ap @ ( c_2Ering_2Ering__R1 @ A_27a ) @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Ering_2Erecordtype_2Ering @ A_27a ) @ V5a ) @ V6a0 ) @ V7f ) @ V8f0 ) @ V9f1 ) )
% 5.66/5.92 = V6a0 ) ) ) ) ) )
% 5.66/5.92 & ! [V10a: $i] :
% 5.66/5.92 ( ( mem @ V10a @ A_27a )
% 5.66/5.92 => ! [V11a0: $i] :
% 5.66/5.92 ( ( mem @ V11a0 @ A_27a )
% 5.66/5.92 => ! [V12f: $i] :
% 5.66/5.92 ( ( mem @ V12f @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 => ! [V13f0: $i] :
% 5.66/5.92 ( ( mem @ V13f0 @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 => ! [V14f1: $i] :
% 5.66/5.92 ( ( mem @ V14f1 @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.92 => ( ( ap @ ( c_2Ering_2Ering__RP @ A_27a ) @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Ering_2Erecordtype_2Ering @ A_27a ) @ V10a ) @ V11a0 ) @ V12f ) @ V13f0 ) @ V14f1 ) )
% 5.66/5.92 = V12f ) ) ) ) ) )
% 5.66/5.92 & ! [V15a: $i] :
% 5.66/5.92 ( ( mem @ V15a @ A_27a )
% 5.66/5.92 => ! [V16a0: $i] :
% 5.66/5.92 ( ( mem @ V16a0 @ A_27a )
% 5.66/5.92 => ! [V17f: $i] :
% 5.66/5.92 ( ( mem @ V17f @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 => ! [V18f0: $i] :
% 5.66/5.92 ( ( mem @ V18f0 @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 => ! [V19f1: $i] :
% 5.66/5.92 ( ( mem @ V19f1 @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.92 => ( ( ap @ ( c_2Ering_2Ering__RM @ A_27a ) @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Ering_2Erecordtype_2Ering @ A_27a ) @ V15a ) @ V16a0 ) @ V17f ) @ V18f0 ) @ V19f1 ) )
% 5.66/5.92 = V18f0 ) ) ) ) ) )
% 5.66/5.92 & ! [V20a: $i] :
% 5.66/5.92 ( ( mem @ V20a @ A_27a )
% 5.66/5.92 => ! [V21a0: $i] :
% 5.66/5.92 ( ( mem @ V21a0 @ A_27a )
% 5.66/5.92 => ! [V22f: $i] :
% 5.66/5.92 ( ( mem @ V22f @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 => ! [V23f0: $i] :
% 5.66/5.92 ( ( mem @ V23f0 @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 => ! [V24f1: $i] :
% 5.66/5.92 ( ( mem @ V24f1 @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.92 => ( ( ap @ ( c_2Ering_2Ering__RN @ A_27a ) @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Ering_2Erecordtype_2Ering @ A_27a ) @ V20a ) @ V21a0 ) @ V22f ) @ V23f0 ) @ V24f1 ) )
% 5.66/5.92 = V24f1 ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(ax_thm_2Ering_2Ering__R0__fupd,axiom,
% 5.66/5.92 ! [A_27a: del,V0f2: $i] :
% 5.66/5.92 ( ( mem @ V0f2 @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.92 => ! [V1a: $i] :
% 5.66/5.92 ( ( mem @ V1a @ A_27a )
% 5.66/5.92 => ! [V2a0: $i] :
% 5.66/5.92 ( ( mem @ V2a0 @ A_27a )
% 5.66/5.92 => ! [V3f: $i] :
% 5.66/5.92 ( ( mem @ V3f @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 => ! [V4f0: $i] :
% 5.66/5.92 ( ( mem @ V4f0 @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 => ! [V5f1: $i] :
% 5.66/5.92 ( ( mem @ V5f1 @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( c_2Ering_2Ering__R0__fupd @ A_27a ) @ V0f2 ) @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Ering_2Erecordtype_2Ering @ A_27a ) @ V1a ) @ V2a0 ) @ V3f ) @ V4f0 ) @ V5f1 ) )
% 5.66/5.92 = ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Ering_2Erecordtype_2Ering @ A_27a ) @ ( ap @ V0f2 @ V1a ) ) @ V2a0 ) @ V3f ) @ V4f0 ) @ V5f1 ) ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(ax_thm_2Ering_2Ering__R1__fupd,axiom,
% 5.66/5.92 ! [A_27a: del,V0f2: $i] :
% 5.66/5.92 ( ( mem @ V0f2 @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.92 => ! [V1a: $i] :
% 5.66/5.92 ( ( mem @ V1a @ A_27a )
% 5.66/5.92 => ! [V2a0: $i] :
% 5.66/5.92 ( ( mem @ V2a0 @ A_27a )
% 5.66/5.92 => ! [V3f: $i] :
% 5.66/5.92 ( ( mem @ V3f @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 => ! [V4f0: $i] :
% 5.66/5.92 ( ( mem @ V4f0 @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 => ! [V5f1: $i] :
% 5.66/5.92 ( ( mem @ V5f1 @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( c_2Ering_2Ering__R1__fupd @ A_27a ) @ V0f2 ) @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Ering_2Erecordtype_2Ering @ A_27a ) @ V1a ) @ V2a0 ) @ V3f ) @ V4f0 ) @ V5f1 ) )
% 5.66/5.92 = ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Ering_2Erecordtype_2Ering @ A_27a ) @ V1a ) @ ( ap @ V0f2 @ V2a0 ) ) @ V3f ) @ V4f0 ) @ V5f1 ) ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(ax_thm_2Ering_2Ering__RP__fupd,axiom,
% 5.66/5.92 ! [A_27a: del,V0f2: $i] :
% 5.66/5.92 ( ( mem @ V0f2 @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.66/5.92 => ! [V1a: $i] :
% 5.66/5.92 ( ( mem @ V1a @ A_27a )
% 5.66/5.92 => ! [V2a0: $i] :
% 5.66/5.92 ( ( mem @ V2a0 @ A_27a )
% 5.66/5.92 => ! [V3f: $i] :
% 5.66/5.92 ( ( mem @ V3f @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 => ! [V4f0: $i] :
% 5.66/5.92 ( ( mem @ V4f0 @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 => ! [V5f1: $i] :
% 5.66/5.92 ( ( mem @ V5f1 @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( c_2Ering_2Ering__RP__fupd @ A_27a ) @ V0f2 ) @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Ering_2Erecordtype_2Ering @ A_27a ) @ V1a ) @ V2a0 ) @ V3f ) @ V4f0 ) @ V5f1 ) )
% 5.66/5.92 = ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Ering_2Erecordtype_2Ering @ A_27a ) @ V1a ) @ V2a0 ) @ ( ap @ V0f2 @ V3f ) ) @ V4f0 ) @ V5f1 ) ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(ax_thm_2Ering_2Ering__RM__fupd,axiom,
% 5.66/5.92 ! [A_27a: del,V0f2: $i] :
% 5.66/5.92 ( ( mem @ V0f2 @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.66/5.92 => ! [V1a: $i] :
% 5.66/5.92 ( ( mem @ V1a @ A_27a )
% 5.66/5.92 => ! [V2a0: $i] :
% 5.66/5.92 ( ( mem @ V2a0 @ A_27a )
% 5.66/5.92 => ! [V3f: $i] :
% 5.66/5.92 ( ( mem @ V3f @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 => ! [V4f0: $i] :
% 5.66/5.92 ( ( mem @ V4f0 @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 => ! [V5f1: $i] :
% 5.66/5.92 ( ( mem @ V5f1 @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( c_2Ering_2Ering__RM__fupd @ A_27a ) @ V0f2 ) @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Ering_2Erecordtype_2Ering @ A_27a ) @ V1a ) @ V2a0 ) @ V3f ) @ V4f0 ) @ V5f1 ) )
% 5.66/5.92 = ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Ering_2Erecordtype_2Ering @ A_27a ) @ V1a ) @ V2a0 ) @ V3f ) @ ( ap @ V0f2 @ V4f0 ) ) @ V5f1 ) ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(ax_thm_2Ering_2Ering__RN__fupd,axiom,
% 5.66/5.92 ! [A_27a: del,V0f2: $i] :
% 5.66/5.92 ( ( mem @ V0f2 @ ( arr @ ( arr @ A_27a @ A_27a ) @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 => ! [V1a: $i] :
% 5.66/5.92 ( ( mem @ V1a @ A_27a )
% 5.66/5.92 => ! [V2a0: $i] :
% 5.66/5.92 ( ( mem @ V2a0 @ A_27a )
% 5.66/5.92 => ! [V3f: $i] :
% 5.66/5.92 ( ( mem @ V3f @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 => ! [V4f0: $i] :
% 5.66/5.92 ( ( mem @ V4f0 @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 => ! [V5f1: $i] :
% 5.66/5.92 ( ( mem @ V5f1 @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( c_2Ering_2Ering__RN__fupd @ A_27a ) @ V0f2 ) @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Ering_2Erecordtype_2Ering @ A_27a ) @ V1a ) @ V2a0 ) @ V3f ) @ V4f0 ) @ V5f1 ) )
% 5.66/5.92 = ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Ering_2Erecordtype_2Ering @ A_27a ) @ V1a ) @ V2a0 ) @ V3f ) @ V4f0 ) @ ( ap @ V0f2 @ V5f1 ) ) ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ering_2Ering__fn__updates,axiom,
% 5.66/5.92 ! [A_27a: del] :
% 5.66/5.92 ( ! [V0f2: $i] :
% 5.66/5.92 ( ( mem @ V0f2 @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.92 => ! [V1a: $i] :
% 5.66/5.92 ( ( mem @ V1a @ A_27a )
% 5.66/5.92 => ! [V2a0: $i] :
% 5.66/5.92 ( ( mem @ V2a0 @ A_27a )
% 5.66/5.92 => ! [V3f: $i] :
% 5.66/5.92 ( ( mem @ V3f @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 => ! [V4f0: $i] :
% 5.66/5.92 ( ( mem @ V4f0 @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 => ! [V5f1: $i] :
% 5.66/5.92 ( ( mem @ V5f1 @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( c_2Ering_2Ering__R0__fupd @ A_27a ) @ V0f2 ) @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Ering_2Erecordtype_2Ering @ A_27a ) @ V1a ) @ V2a0 ) @ V3f ) @ V4f0 ) @ V5f1 ) )
% 5.66/5.92 = ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Ering_2Erecordtype_2Ering @ A_27a ) @ ( ap @ V0f2 @ V1a ) ) @ V2a0 ) @ V3f ) @ V4f0 ) @ V5f1 ) ) ) ) ) ) ) )
% 5.66/5.92 & ! [V6f2: $i] :
% 5.66/5.92 ( ( mem @ V6f2 @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.92 => ! [V7a: $i] :
% 5.66/5.92 ( ( mem @ V7a @ A_27a )
% 5.66/5.92 => ! [V8a0: $i] :
% 5.66/5.92 ( ( mem @ V8a0 @ A_27a )
% 5.66/5.92 => ! [V9f: $i] :
% 5.66/5.92 ( ( mem @ V9f @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 => ! [V10f0: $i] :
% 5.66/5.92 ( ( mem @ V10f0 @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 => ! [V11f1: $i] :
% 5.66/5.92 ( ( mem @ V11f1 @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( c_2Ering_2Ering__R1__fupd @ A_27a ) @ V6f2 ) @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Ering_2Erecordtype_2Ering @ A_27a ) @ V7a ) @ V8a0 ) @ V9f ) @ V10f0 ) @ V11f1 ) )
% 5.66/5.92 = ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Ering_2Erecordtype_2Ering @ A_27a ) @ V7a ) @ ( ap @ V6f2 @ V8a0 ) ) @ V9f ) @ V10f0 ) @ V11f1 ) ) ) ) ) ) ) )
% 5.66/5.92 & ! [V12f2: $i] :
% 5.66/5.92 ( ( mem @ V12f2 @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.66/5.92 => ! [V13a: $i] :
% 5.66/5.92 ( ( mem @ V13a @ A_27a )
% 5.66/5.92 => ! [V14a0: $i] :
% 5.66/5.92 ( ( mem @ V14a0 @ A_27a )
% 5.66/5.92 => ! [V15f: $i] :
% 5.66/5.92 ( ( mem @ V15f @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 => ! [V16f0: $i] :
% 5.66/5.92 ( ( mem @ V16f0 @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 => ! [V17f1: $i] :
% 5.66/5.92 ( ( mem @ V17f1 @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( c_2Ering_2Ering__RP__fupd @ A_27a ) @ V12f2 ) @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Ering_2Erecordtype_2Ering @ A_27a ) @ V13a ) @ V14a0 ) @ V15f ) @ V16f0 ) @ V17f1 ) )
% 5.66/5.92 = ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Ering_2Erecordtype_2Ering @ A_27a ) @ V13a ) @ V14a0 ) @ ( ap @ V12f2 @ V15f ) ) @ V16f0 ) @ V17f1 ) ) ) ) ) ) ) )
% 5.66/5.92 & ! [V18f2: $i] :
% 5.66/5.92 ( ( mem @ V18f2 @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.66/5.92 => ! [V19a: $i] :
% 5.66/5.92 ( ( mem @ V19a @ A_27a )
% 5.66/5.92 => ! [V20a0: $i] :
% 5.66/5.92 ( ( mem @ V20a0 @ A_27a )
% 5.66/5.92 => ! [V21f: $i] :
% 5.66/5.92 ( ( mem @ V21f @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 => ! [V22f0: $i] :
% 5.66/5.92 ( ( mem @ V22f0 @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 => ! [V23f1: $i] :
% 5.66/5.92 ( ( mem @ V23f1 @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( c_2Ering_2Ering__RM__fupd @ A_27a ) @ V18f2 ) @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Ering_2Erecordtype_2Ering @ A_27a ) @ V19a ) @ V20a0 ) @ V21f ) @ V22f0 ) @ V23f1 ) )
% 5.66/5.92 = ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Ering_2Erecordtype_2Ering @ A_27a ) @ V19a ) @ V20a0 ) @ V21f ) @ ( ap @ V18f2 @ V22f0 ) ) @ V23f1 ) ) ) ) ) ) ) )
% 5.66/5.92 & ! [V24f2: $i] :
% 5.66/5.92 ( ( mem @ V24f2 @ ( arr @ ( arr @ A_27a @ A_27a ) @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 => ! [V25a: $i] :
% 5.66/5.92 ( ( mem @ V25a @ A_27a )
% 5.66/5.92 => ! [V26a0: $i] :
% 5.66/5.92 ( ( mem @ V26a0 @ A_27a )
% 5.66/5.92 => ! [V27f: $i] :
% 5.66/5.92 ( ( mem @ V27f @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 => ! [V28f0: $i] :
% 5.66/5.92 ( ( mem @ V28f0 @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 => ! [V29f1: $i] :
% 5.66/5.92 ( ( mem @ V29f1 @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( c_2Ering_2Ering__RN__fupd @ A_27a ) @ V24f2 ) @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Ering_2Erecordtype_2Ering @ A_27a ) @ V25a ) @ V26a0 ) @ V27f ) @ V28f0 ) @ V29f1 ) )
% 5.66/5.92 = ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Ering_2Erecordtype_2Ering @ A_27a ) @ V25a ) @ V26a0 ) @ V27f ) @ V28f0 ) @ ( ap @ V24f2 @ V29f1 ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ering_2Ering__accfupds,axiom,
% 5.66/5.92 ! [A_27a: del] :
% 5.66/5.92 ( ! [V0r: $i] :
% 5.66/5.92 ( ( mem @ V0r @ ( ty_2Ering_2Ering @ A_27a ) )
% 5.66/5.92 => ! [V1f: $i] :
% 5.66/5.92 ( ( mem @ V1f @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.92 => ( ( ap @ ( c_2Ering_2Ering__R0 @ A_27a ) @ ( ap @ ( ap @ ( c_2Ering_2Ering__R1__fupd @ A_27a ) @ V1f ) @ V0r ) )
% 5.66/5.92 = ( ap @ ( c_2Ering_2Ering__R0 @ A_27a ) @ V0r ) ) ) )
% 5.66/5.92 & ! [V2r: $i] :
% 5.66/5.92 ( ( mem @ V2r @ ( ty_2Ering_2Ering @ A_27a ) )
% 5.66/5.92 => ! [V3f: $i] :
% 5.66/5.92 ( ( mem @ V3f @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.66/5.92 => ( ( ap @ ( c_2Ering_2Ering__R0 @ A_27a ) @ ( ap @ ( ap @ ( c_2Ering_2Ering__RP__fupd @ A_27a ) @ V3f ) @ V2r ) )
% 5.66/5.92 = ( ap @ ( c_2Ering_2Ering__R0 @ A_27a ) @ V2r ) ) ) )
% 5.66/5.92 & ! [V4r: $i] :
% 5.66/5.92 ( ( mem @ V4r @ ( ty_2Ering_2Ering @ A_27a ) )
% 5.66/5.92 => ! [V5f: $i] :
% 5.66/5.92 ( ( mem @ V5f @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.66/5.92 => ( ( ap @ ( c_2Ering_2Ering__R0 @ A_27a ) @ ( ap @ ( ap @ ( c_2Ering_2Ering__RM__fupd @ A_27a ) @ V5f ) @ V4r ) )
% 5.66/5.92 = ( ap @ ( c_2Ering_2Ering__R0 @ A_27a ) @ V4r ) ) ) )
% 5.66/5.92 & ! [V6r: $i] :
% 5.66/5.92 ( ( mem @ V6r @ ( ty_2Ering_2Ering @ A_27a ) )
% 5.66/5.92 => ! [V7f: $i] :
% 5.66/5.92 ( ( mem @ V7f @ ( arr @ ( arr @ A_27a @ A_27a ) @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 => ( ( ap @ ( c_2Ering_2Ering__R0 @ A_27a ) @ ( ap @ ( ap @ ( c_2Ering_2Ering__RN__fupd @ A_27a ) @ V7f ) @ V6r ) )
% 5.66/5.92 = ( ap @ ( c_2Ering_2Ering__R0 @ A_27a ) @ V6r ) ) ) )
% 5.66/5.92 & ! [V8r: $i] :
% 5.66/5.92 ( ( mem @ V8r @ ( ty_2Ering_2Ering @ A_27a ) )
% 5.66/5.92 => ! [V9f: $i] :
% 5.66/5.92 ( ( mem @ V9f @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.92 => ( ( ap @ ( c_2Ering_2Ering__R1 @ A_27a ) @ ( ap @ ( ap @ ( c_2Ering_2Ering__R0__fupd @ A_27a ) @ V9f ) @ V8r ) )
% 5.66/5.92 = ( ap @ ( c_2Ering_2Ering__R1 @ A_27a ) @ V8r ) ) ) )
% 5.66/5.92 & ! [V10r: $i] :
% 5.66/5.92 ( ( mem @ V10r @ ( ty_2Ering_2Ering @ A_27a ) )
% 5.66/5.92 => ! [V11f: $i] :
% 5.66/5.92 ( ( mem @ V11f @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.66/5.92 => ( ( ap @ ( c_2Ering_2Ering__R1 @ A_27a ) @ ( ap @ ( ap @ ( c_2Ering_2Ering__RP__fupd @ A_27a ) @ V11f ) @ V10r ) )
% 5.66/5.92 = ( ap @ ( c_2Ering_2Ering__R1 @ A_27a ) @ V10r ) ) ) )
% 5.66/5.92 & ! [V12r: $i] :
% 5.66/5.92 ( ( mem @ V12r @ ( ty_2Ering_2Ering @ A_27a ) )
% 5.66/5.92 => ! [V13f: $i] :
% 5.66/5.92 ( ( mem @ V13f @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.66/5.92 => ( ( ap @ ( c_2Ering_2Ering__R1 @ A_27a ) @ ( ap @ ( ap @ ( c_2Ering_2Ering__RM__fupd @ A_27a ) @ V13f ) @ V12r ) )
% 5.66/5.92 = ( ap @ ( c_2Ering_2Ering__R1 @ A_27a ) @ V12r ) ) ) )
% 5.66/5.92 & ! [V14r: $i] :
% 5.66/5.92 ( ( mem @ V14r @ ( ty_2Ering_2Ering @ A_27a ) )
% 5.66/5.92 => ! [V15f: $i] :
% 5.66/5.92 ( ( mem @ V15f @ ( arr @ ( arr @ A_27a @ A_27a ) @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 => ( ( ap @ ( c_2Ering_2Ering__R1 @ A_27a ) @ ( ap @ ( ap @ ( c_2Ering_2Ering__RN__fupd @ A_27a ) @ V15f ) @ V14r ) )
% 5.66/5.92 = ( ap @ ( c_2Ering_2Ering__R1 @ A_27a ) @ V14r ) ) ) )
% 5.66/5.92 & ! [V16r: $i] :
% 5.66/5.92 ( ( mem @ V16r @ ( ty_2Ering_2Ering @ A_27a ) )
% 5.66/5.92 => ! [V17f: $i] :
% 5.66/5.92 ( ( mem @ V17f @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.92 => ( ( ap @ ( c_2Ering_2Ering__RP @ A_27a ) @ ( ap @ ( ap @ ( c_2Ering_2Ering__R0__fupd @ A_27a ) @ V17f ) @ V16r ) )
% 5.66/5.92 = ( ap @ ( c_2Ering_2Ering__RP @ A_27a ) @ V16r ) ) ) )
% 5.66/5.92 & ! [V18r: $i] :
% 5.66/5.92 ( ( mem @ V18r @ ( ty_2Ering_2Ering @ A_27a ) )
% 5.66/5.92 => ! [V19f: $i] :
% 5.66/5.92 ( ( mem @ V19f @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.92 => ( ( ap @ ( c_2Ering_2Ering__RP @ A_27a ) @ ( ap @ ( ap @ ( c_2Ering_2Ering__R1__fupd @ A_27a ) @ V19f ) @ V18r ) )
% 5.66/5.92 = ( ap @ ( c_2Ering_2Ering__RP @ A_27a ) @ V18r ) ) ) )
% 5.66/5.92 & ! [V20r: $i] :
% 5.66/5.92 ( ( mem @ V20r @ ( ty_2Ering_2Ering @ A_27a ) )
% 5.66/5.92 => ! [V21f: $i] :
% 5.66/5.92 ( ( mem @ V21f @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.66/5.92 => ( ( ap @ ( c_2Ering_2Ering__RP @ A_27a ) @ ( ap @ ( ap @ ( c_2Ering_2Ering__RM__fupd @ A_27a ) @ V21f ) @ V20r ) )
% 5.66/5.92 = ( ap @ ( c_2Ering_2Ering__RP @ A_27a ) @ V20r ) ) ) )
% 5.66/5.92 & ! [V22r: $i] :
% 5.66/5.92 ( ( mem @ V22r @ ( ty_2Ering_2Ering @ A_27a ) )
% 5.66/5.92 => ! [V23f: $i] :
% 5.66/5.92 ( ( mem @ V23f @ ( arr @ ( arr @ A_27a @ A_27a ) @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 => ( ( ap @ ( c_2Ering_2Ering__RP @ A_27a ) @ ( ap @ ( ap @ ( c_2Ering_2Ering__RN__fupd @ A_27a ) @ V23f ) @ V22r ) )
% 5.66/5.92 = ( ap @ ( c_2Ering_2Ering__RP @ A_27a ) @ V22r ) ) ) )
% 5.66/5.92 & ! [V24r: $i] :
% 5.66/5.92 ( ( mem @ V24r @ ( ty_2Ering_2Ering @ A_27a ) )
% 5.66/5.92 => ! [V25f: $i] :
% 5.66/5.92 ( ( mem @ V25f @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.92 => ( ( ap @ ( c_2Ering_2Ering__RM @ A_27a ) @ ( ap @ ( ap @ ( c_2Ering_2Ering__R0__fupd @ A_27a ) @ V25f ) @ V24r ) )
% 5.66/5.92 = ( ap @ ( c_2Ering_2Ering__RM @ A_27a ) @ V24r ) ) ) )
% 5.66/5.92 & ! [V26r: $i] :
% 5.66/5.92 ( ( mem @ V26r @ ( ty_2Ering_2Ering @ A_27a ) )
% 5.66/5.92 => ! [V27f: $i] :
% 5.66/5.92 ( ( mem @ V27f @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.92 => ( ( ap @ ( c_2Ering_2Ering__RM @ A_27a ) @ ( ap @ ( ap @ ( c_2Ering_2Ering__R1__fupd @ A_27a ) @ V27f ) @ V26r ) )
% 5.66/5.92 = ( ap @ ( c_2Ering_2Ering__RM @ A_27a ) @ V26r ) ) ) )
% 5.66/5.92 & ! [V28r: $i] :
% 5.66/5.92 ( ( mem @ V28r @ ( ty_2Ering_2Ering @ A_27a ) )
% 5.66/5.92 => ! [V29f: $i] :
% 5.66/5.92 ( ( mem @ V29f @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.66/5.92 => ( ( ap @ ( c_2Ering_2Ering__RM @ A_27a ) @ ( ap @ ( ap @ ( c_2Ering_2Ering__RP__fupd @ A_27a ) @ V29f ) @ V28r ) )
% 5.66/5.92 = ( ap @ ( c_2Ering_2Ering__RM @ A_27a ) @ V28r ) ) ) )
% 5.66/5.92 & ! [V30r: $i] :
% 5.66/5.92 ( ( mem @ V30r @ ( ty_2Ering_2Ering @ A_27a ) )
% 5.66/5.92 => ! [V31f: $i] :
% 5.66/5.92 ( ( mem @ V31f @ ( arr @ ( arr @ A_27a @ A_27a ) @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 => ( ( ap @ ( c_2Ering_2Ering__RM @ A_27a ) @ ( ap @ ( ap @ ( c_2Ering_2Ering__RN__fupd @ A_27a ) @ V31f ) @ V30r ) )
% 5.66/5.92 = ( ap @ ( c_2Ering_2Ering__RM @ A_27a ) @ V30r ) ) ) )
% 5.66/5.92 & ! [V32r: $i] :
% 5.66/5.92 ( ( mem @ V32r @ ( ty_2Ering_2Ering @ A_27a ) )
% 5.66/5.92 => ! [V33f: $i] :
% 5.66/5.92 ( ( mem @ V33f @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.92 => ( ( ap @ ( c_2Ering_2Ering__RN @ A_27a ) @ ( ap @ ( ap @ ( c_2Ering_2Ering__R0__fupd @ A_27a ) @ V33f ) @ V32r ) )
% 5.66/5.92 = ( ap @ ( c_2Ering_2Ering__RN @ A_27a ) @ V32r ) ) ) )
% 5.66/5.92 & ! [V34r: $i] :
% 5.66/5.92 ( ( mem @ V34r @ ( ty_2Ering_2Ering @ A_27a ) )
% 5.66/5.92 => ! [V35f: $i] :
% 5.66/5.92 ( ( mem @ V35f @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.92 => ( ( ap @ ( c_2Ering_2Ering__RN @ A_27a ) @ ( ap @ ( ap @ ( c_2Ering_2Ering__R1__fupd @ A_27a ) @ V35f ) @ V34r ) )
% 5.66/5.92 = ( ap @ ( c_2Ering_2Ering__RN @ A_27a ) @ V34r ) ) ) )
% 5.66/5.92 & ! [V36r: $i] :
% 5.66/5.92 ( ( mem @ V36r @ ( ty_2Ering_2Ering @ A_27a ) )
% 5.66/5.92 => ! [V37f: $i] :
% 5.66/5.92 ( ( mem @ V37f @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.66/5.92 => ( ( ap @ ( c_2Ering_2Ering__RN @ A_27a ) @ ( ap @ ( ap @ ( c_2Ering_2Ering__RP__fupd @ A_27a ) @ V37f ) @ V36r ) )
% 5.66/5.92 = ( ap @ ( c_2Ering_2Ering__RN @ A_27a ) @ V36r ) ) ) )
% 5.66/5.92 & ! [V38r: $i] :
% 5.66/5.92 ( ( mem @ V38r @ ( ty_2Ering_2Ering @ A_27a ) )
% 5.66/5.92 => ! [V39f: $i] :
% 5.66/5.92 ( ( mem @ V39f @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.66/5.92 => ( ( ap @ ( c_2Ering_2Ering__RN @ A_27a ) @ ( ap @ ( ap @ ( c_2Ering_2Ering__RM__fupd @ A_27a ) @ V39f ) @ V38r ) )
% 5.66/5.92 = ( ap @ ( c_2Ering_2Ering__RN @ A_27a ) @ V38r ) ) ) )
% 5.66/5.92 & ! [V40r: $i] :
% 5.66/5.92 ( ( mem @ V40r @ ( ty_2Ering_2Ering @ A_27a ) )
% 5.66/5.92 => ! [V41f: $i] :
% 5.66/5.92 ( ( mem @ V41f @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.92 => ( ( ap @ ( c_2Ering_2Ering__R0 @ A_27a ) @ ( ap @ ( ap @ ( c_2Ering_2Ering__R0__fupd @ A_27a ) @ V41f ) @ V40r ) )
% 5.66/5.92 = ( ap @ V41f @ ( ap @ ( c_2Ering_2Ering__R0 @ A_27a ) @ V40r ) ) ) ) )
% 5.66/5.92 & ! [V42r: $i] :
% 5.66/5.92 ( ( mem @ V42r @ ( ty_2Ering_2Ering @ A_27a ) )
% 5.66/5.92 => ! [V43f: $i] :
% 5.66/5.92 ( ( mem @ V43f @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.92 => ( ( ap @ ( c_2Ering_2Ering__R1 @ A_27a ) @ ( ap @ ( ap @ ( c_2Ering_2Ering__R1__fupd @ A_27a ) @ V43f ) @ V42r ) )
% 5.66/5.92 = ( ap @ V43f @ ( ap @ ( c_2Ering_2Ering__R1 @ A_27a ) @ V42r ) ) ) ) )
% 5.66/5.92 & ! [V44r: $i] :
% 5.66/5.92 ( ( mem @ V44r @ ( ty_2Ering_2Ering @ A_27a ) )
% 5.66/5.92 => ! [V45f: $i] :
% 5.66/5.92 ( ( mem @ V45f @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.66/5.92 => ( ( ap @ ( c_2Ering_2Ering__RP @ A_27a ) @ ( ap @ ( ap @ ( c_2Ering_2Ering__RP__fupd @ A_27a ) @ V45f ) @ V44r ) )
% 5.66/5.92 = ( ap @ V45f @ ( ap @ ( c_2Ering_2Ering__RP @ A_27a ) @ V44r ) ) ) ) )
% 5.66/5.92 & ! [V46r: $i] :
% 5.66/5.92 ( ( mem @ V46r @ ( ty_2Ering_2Ering @ A_27a ) )
% 5.66/5.92 => ! [V47f: $i] :
% 5.66/5.92 ( ( mem @ V47f @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.66/5.92 => ( ( ap @ ( c_2Ering_2Ering__RM @ A_27a ) @ ( ap @ ( ap @ ( c_2Ering_2Ering__RM__fupd @ A_27a ) @ V47f ) @ V46r ) )
% 5.66/5.92 = ( ap @ V47f @ ( ap @ ( c_2Ering_2Ering__RM @ A_27a ) @ V46r ) ) ) ) )
% 5.66/5.92 & ! [V48r: $i] :
% 5.66/5.92 ( ( mem @ V48r @ ( ty_2Ering_2Ering @ A_27a ) )
% 5.66/5.92 => ! [V49f: $i] :
% 5.66/5.92 ( ( mem @ V49f @ ( arr @ ( arr @ A_27a @ A_27a ) @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 => ( ( ap @ ( c_2Ering_2Ering__RN @ A_27a ) @ ( ap @ ( ap @ ( c_2Ering_2Ering__RN__fupd @ A_27a ) @ V49f ) @ V48r ) )
% 5.66/5.92 = ( ap @ V49f @ ( ap @ ( c_2Ering_2Ering__RN @ A_27a ) @ V48r ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ering_2Ering__fupdfupds,axiom,
% 5.66/5.92 ! [A_27a: del] :
% 5.66/5.92 ( ! [V0r: $i] :
% 5.66/5.92 ( ( mem @ V0r @ ( ty_2Ering_2Ering @ A_27a ) )
% 5.66/5.92 => ! [V1g: $i] :
% 5.66/5.92 ( ( mem @ V1g @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.92 => ! [V2f: $i] :
% 5.66/5.92 ( ( mem @ V2f @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( c_2Ering_2Ering__R0__fupd @ A_27a ) @ V2f ) @ ( ap @ ( ap @ ( c_2Ering_2Ering__R0__fupd @ A_27a ) @ V1g ) @ V0r ) )
% 5.66/5.92 = ( ap @ ( ap @ ( c_2Ering_2Ering__R0__fupd @ A_27a ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27a @ A_27a @ A_27a ) @ V2f ) @ V1g ) ) @ V0r ) ) ) ) )
% 5.66/5.92 & ! [V3r: $i] :
% 5.66/5.92 ( ( mem @ V3r @ ( ty_2Ering_2Ering @ A_27a ) )
% 5.66/5.92 => ! [V4g: $i] :
% 5.66/5.92 ( ( mem @ V4g @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.92 => ! [V5f: $i] :
% 5.66/5.92 ( ( mem @ V5f @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( c_2Ering_2Ering__R1__fupd @ A_27a ) @ V5f ) @ ( ap @ ( ap @ ( c_2Ering_2Ering__R1__fupd @ A_27a ) @ V4g ) @ V3r ) )
% 5.66/5.92 = ( ap @ ( ap @ ( c_2Ering_2Ering__R1__fupd @ A_27a ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27a @ A_27a @ A_27a ) @ V5f ) @ V4g ) ) @ V3r ) ) ) ) )
% 5.66/5.92 & ! [V6r: $i] :
% 5.66/5.92 ( ( mem @ V6r @ ( ty_2Ering_2Ering @ A_27a ) )
% 5.66/5.92 => ! [V7g: $i] :
% 5.66/5.92 ( ( mem @ V7g @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.66/5.92 => ! [V8f: $i] :
% 5.66/5.92 ( ( mem @ V8f @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( c_2Ering_2Ering__RP__fupd @ A_27a ) @ V8f ) @ ( ap @ ( ap @ ( c_2Ering_2Ering__RP__fupd @ A_27a ) @ V7g ) @ V6r ) )
% 5.66/5.92 = ( ap @ ( ap @ ( c_2Ering_2Ering__RP__fupd @ A_27a ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) @ V8f ) @ V7g ) ) @ V6r ) ) ) ) )
% 5.66/5.92 & ! [V9r: $i] :
% 5.66/5.92 ( ( mem @ V9r @ ( ty_2Ering_2Ering @ A_27a ) )
% 5.66/5.92 => ! [V10g: $i] :
% 5.66/5.92 ( ( mem @ V10g @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.66/5.92 => ! [V11f: $i] :
% 5.66/5.92 ( ( mem @ V11f @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( c_2Ering_2Ering__RM__fupd @ A_27a ) @ V11f ) @ ( ap @ ( ap @ ( c_2Ering_2Ering__RM__fupd @ A_27a ) @ V10g ) @ V9r ) )
% 5.66/5.92 = ( ap @ ( ap @ ( c_2Ering_2Ering__RM__fupd @ A_27a ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) @ V11f ) @ V10g ) ) @ V9r ) ) ) ) )
% 5.66/5.92 & ! [V12r: $i] :
% 5.66/5.92 ( ( mem @ V12r @ ( ty_2Ering_2Ering @ A_27a ) )
% 5.66/5.92 => ! [V13g: $i] :
% 5.66/5.92 ( ( mem @ V13g @ ( arr @ ( arr @ A_27a @ A_27a ) @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 => ! [V14f: $i] :
% 5.66/5.92 ( ( mem @ V14f @ ( arr @ ( arr @ A_27a @ A_27a ) @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( c_2Ering_2Ering__RN__fupd @ A_27a ) @ V14f ) @ ( ap @ ( ap @ ( c_2Ering_2Ering__RN__fupd @ A_27a ) @ V13g ) @ V12r ) )
% 5.66/5.92 = ( ap @ ( ap @ ( c_2Ering_2Ering__RN__fupd @ A_27a ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( arr @ A_27a @ A_27a ) @ ( arr @ A_27a @ A_27a ) @ ( arr @ A_27a @ A_27a ) ) @ V14f ) @ V13g ) ) @ V12r ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ering_2Ering__fupdfupds__comp,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del] :
% 5.66/5.92 ( ! [V0g: $i] :
% 5.66/5.92 ( ( mem @ V0g @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.92 => ! [V1f: $i] :
% 5.66/5.92 ( ( mem @ V1f @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) ) @ ( ap @ ( c_2Ering_2Ering__R0__fupd @ A_27a ) @ V1f ) ) @ ( ap @ ( c_2Ering_2Ering__R0__fupd @ A_27a ) @ V0g ) )
% 5.66/5.92 = ( ap @ ( c_2Ering_2Ering__R0__fupd @ A_27a ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27a @ A_27a @ A_27a ) @ V1f ) @ V0g ) ) ) ) )
% 5.66/5.92 & ! [V2h: $i] :
% 5.66/5.92 ( ( mem @ V2h @ ( arr @ A_27b @ ( ty_2Ering_2Ering @ A_27a ) ) )
% 5.66/5.92 => ! [V3g: $i] :
% 5.66/5.92 ( ( mem @ V3g @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.92 => ! [V4f: $i] :
% 5.66/5.92 ( ( mem @ V4f @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) ) @ ( ap @ ( c_2Ering_2Ering__R0__fupd @ A_27a ) @ V4f ) ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) ) @ ( ap @ ( c_2Ering_2Ering__R0__fupd @ A_27a ) @ V3g ) ) @ V2h ) )
% 5.66/5.92 = ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) ) @ ( ap @ ( c_2Ering_2Ering__R0__fupd @ A_27a ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27a @ A_27a @ A_27a ) @ V4f ) @ V3g ) ) ) @ V2h ) ) ) ) )
% 5.66/5.92 & ! [V5g: $i] :
% 5.66/5.92 ( ( mem @ V5g @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.92 => ! [V6f: $i] :
% 5.66/5.92 ( ( mem @ V6f @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) ) @ ( ap @ ( c_2Ering_2Ering__R1__fupd @ A_27a ) @ V6f ) ) @ ( ap @ ( c_2Ering_2Ering__R1__fupd @ A_27a ) @ V5g ) )
% 5.66/5.92 = ( ap @ ( c_2Ering_2Ering__R1__fupd @ A_27a ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27a @ A_27a @ A_27a ) @ V6f ) @ V5g ) ) ) ) )
% 5.66/5.92 & ! [V7h: $i] :
% 5.66/5.92 ( ( mem @ V7h @ ( arr @ A_27b @ ( ty_2Ering_2Ering @ A_27a ) ) )
% 5.66/5.92 => ! [V8g: $i] :
% 5.66/5.92 ( ( mem @ V8g @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.92 => ! [V9f: $i] :
% 5.66/5.92 ( ( mem @ V9f @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) ) @ ( ap @ ( c_2Ering_2Ering__R1__fupd @ A_27a ) @ V9f ) ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) ) @ ( ap @ ( c_2Ering_2Ering__R1__fupd @ A_27a ) @ V8g ) ) @ V7h ) )
% 5.66/5.92 = ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) ) @ ( ap @ ( c_2Ering_2Ering__R1__fupd @ A_27a ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27a @ A_27a @ A_27a ) @ V9f ) @ V8g ) ) ) @ V7h ) ) ) ) )
% 5.66/5.92 & ! [V10g: $i] :
% 5.66/5.92 ( ( mem @ V10g @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.66/5.92 => ! [V11f: $i] :
% 5.66/5.92 ( ( mem @ V11f @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) ) @ ( ap @ ( c_2Ering_2Ering__RP__fupd @ A_27a ) @ V11f ) ) @ ( ap @ ( c_2Ering_2Ering__RP__fupd @ A_27a ) @ V10g ) )
% 5.66/5.92 = ( ap @ ( c_2Ering_2Ering__RP__fupd @ A_27a ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) @ V11f ) @ V10g ) ) ) ) )
% 5.66/5.92 & ! [V12h: $i] :
% 5.66/5.92 ( ( mem @ V12h @ ( arr @ A_27b @ ( ty_2Ering_2Ering @ A_27a ) ) )
% 5.66/5.92 => ! [V13g: $i] :
% 5.66/5.92 ( ( mem @ V13g @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.66/5.92 => ! [V14f: $i] :
% 5.66/5.92 ( ( mem @ V14f @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) ) @ ( ap @ ( c_2Ering_2Ering__RP__fupd @ A_27a ) @ V14f ) ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) ) @ ( ap @ ( c_2Ering_2Ering__RP__fupd @ A_27a ) @ V13g ) ) @ V12h ) )
% 5.66/5.92 = ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) ) @ ( ap @ ( c_2Ering_2Ering__RP__fupd @ A_27a ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) @ V14f ) @ V13g ) ) ) @ V12h ) ) ) ) )
% 5.66/5.92 & ! [V15g: $i] :
% 5.66/5.92 ( ( mem @ V15g @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.66/5.92 => ! [V16f: $i] :
% 5.66/5.92 ( ( mem @ V16f @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) ) @ ( ap @ ( c_2Ering_2Ering__RM__fupd @ A_27a ) @ V16f ) ) @ ( ap @ ( c_2Ering_2Ering__RM__fupd @ A_27a ) @ V15g ) )
% 5.66/5.92 = ( ap @ ( c_2Ering_2Ering__RM__fupd @ A_27a ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) @ V16f ) @ V15g ) ) ) ) )
% 5.66/5.92 & ! [V17h: $i] :
% 5.66/5.92 ( ( mem @ V17h @ ( arr @ A_27b @ ( ty_2Ering_2Ering @ A_27a ) ) )
% 5.66/5.92 => ! [V18g: $i] :
% 5.66/5.92 ( ( mem @ V18g @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.66/5.92 => ! [V19f: $i] :
% 5.66/5.92 ( ( mem @ V19f @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) ) @ ( ap @ ( c_2Ering_2Ering__RM__fupd @ A_27a ) @ V19f ) ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) ) @ ( ap @ ( c_2Ering_2Ering__RM__fupd @ A_27a ) @ V18g ) ) @ V17h ) )
% 5.66/5.92 = ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) ) @ ( ap @ ( c_2Ering_2Ering__RM__fupd @ A_27a ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) @ V19f ) @ V18g ) ) ) @ V17h ) ) ) ) )
% 5.66/5.92 & ! [V20g: $i] :
% 5.66/5.92 ( ( mem @ V20g @ ( arr @ ( arr @ A_27a @ A_27a ) @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 => ! [V21f: $i] :
% 5.66/5.92 ( ( mem @ V21f @ ( arr @ ( arr @ A_27a @ A_27a ) @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) ) @ ( ap @ ( c_2Ering_2Ering__RN__fupd @ A_27a ) @ V21f ) ) @ ( ap @ ( c_2Ering_2Ering__RN__fupd @ A_27a ) @ V20g ) )
% 5.66/5.92 = ( ap @ ( c_2Ering_2Ering__RN__fupd @ A_27a ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( arr @ A_27a @ A_27a ) @ ( arr @ A_27a @ A_27a ) @ ( arr @ A_27a @ A_27a ) ) @ V21f ) @ V20g ) ) ) ) )
% 5.66/5.92 & ! [V22h: $i] :
% 5.66/5.92 ( ( mem @ V22h @ ( arr @ A_27b @ ( ty_2Ering_2Ering @ A_27a ) ) )
% 5.66/5.92 => ! [V23g: $i] :
% 5.66/5.92 ( ( mem @ V23g @ ( arr @ ( arr @ A_27a @ A_27a ) @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 => ! [V24f: $i] :
% 5.66/5.92 ( ( mem @ V24f @ ( arr @ ( arr @ A_27a @ A_27a ) @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) ) @ ( ap @ ( c_2Ering_2Ering__RN__fupd @ A_27a ) @ V24f ) ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) ) @ ( ap @ ( c_2Ering_2Ering__RN__fupd @ A_27a ) @ V23g ) ) @ V22h ) )
% 5.66/5.92 = ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) ) @ ( ap @ ( c_2Ering_2Ering__RN__fupd @ A_27a ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( arr @ A_27a @ A_27a ) @ ( arr @ A_27a @ A_27a ) @ ( arr @ A_27a @ A_27a ) ) @ V24f ) @ V23g ) ) ) @ V22h ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ering_2Ering__fupdcanon,axiom,
% 5.66/5.92 ! [A_27a: del] :
% 5.66/5.92 ( ! [V0r: $i] :
% 5.66/5.92 ( ( mem @ V0r @ ( ty_2Ering_2Ering @ A_27a ) )
% 5.66/5.92 => ! [V1g: $i] :
% 5.66/5.92 ( ( mem @ V1g @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.92 => ! [V2f: $i] :
% 5.66/5.92 ( ( mem @ V2f @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( c_2Ering_2Ering__R1__fupd @ A_27a ) @ V2f ) @ ( ap @ ( ap @ ( c_2Ering_2Ering__R0__fupd @ A_27a ) @ V1g ) @ V0r ) )
% 5.66/5.92 = ( ap @ ( ap @ ( c_2Ering_2Ering__R0__fupd @ A_27a ) @ V1g ) @ ( ap @ ( ap @ ( c_2Ering_2Ering__R1__fupd @ A_27a ) @ V2f ) @ V0r ) ) ) ) ) )
% 5.66/5.92 & ! [V3r: $i] :
% 5.66/5.92 ( ( mem @ V3r @ ( ty_2Ering_2Ering @ A_27a ) )
% 5.66/5.92 => ! [V4g: $i] :
% 5.66/5.92 ( ( mem @ V4g @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.92 => ! [V5f: $i] :
% 5.66/5.92 ( ( mem @ V5f @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( c_2Ering_2Ering__RP__fupd @ A_27a ) @ V5f ) @ ( ap @ ( ap @ ( c_2Ering_2Ering__R0__fupd @ A_27a ) @ V4g ) @ V3r ) )
% 5.66/5.92 = ( ap @ ( ap @ ( c_2Ering_2Ering__R0__fupd @ A_27a ) @ V4g ) @ ( ap @ ( ap @ ( c_2Ering_2Ering__RP__fupd @ A_27a ) @ V5f ) @ V3r ) ) ) ) ) )
% 5.66/5.92 & ! [V6r: $i] :
% 5.66/5.92 ( ( mem @ V6r @ ( ty_2Ering_2Ering @ A_27a ) )
% 5.66/5.92 => ! [V7g: $i] :
% 5.66/5.92 ( ( mem @ V7g @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.92 => ! [V8f: $i] :
% 5.66/5.92 ( ( mem @ V8f @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( c_2Ering_2Ering__RP__fupd @ A_27a ) @ V8f ) @ ( ap @ ( ap @ ( c_2Ering_2Ering__R1__fupd @ A_27a ) @ V7g ) @ V6r ) )
% 5.66/5.92 = ( ap @ ( ap @ ( c_2Ering_2Ering__R1__fupd @ A_27a ) @ V7g ) @ ( ap @ ( ap @ ( c_2Ering_2Ering__RP__fupd @ A_27a ) @ V8f ) @ V6r ) ) ) ) ) )
% 5.66/5.92 & ! [V9r: $i] :
% 5.66/5.92 ( ( mem @ V9r @ ( ty_2Ering_2Ering @ A_27a ) )
% 5.66/5.92 => ! [V10g: $i] :
% 5.66/5.92 ( ( mem @ V10g @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.92 => ! [V11f: $i] :
% 5.66/5.92 ( ( mem @ V11f @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( c_2Ering_2Ering__RM__fupd @ A_27a ) @ V11f ) @ ( ap @ ( ap @ ( c_2Ering_2Ering__R0__fupd @ A_27a ) @ V10g ) @ V9r ) )
% 5.66/5.92 = ( ap @ ( ap @ ( c_2Ering_2Ering__R0__fupd @ A_27a ) @ V10g ) @ ( ap @ ( ap @ ( c_2Ering_2Ering__RM__fupd @ A_27a ) @ V11f ) @ V9r ) ) ) ) ) )
% 5.66/5.92 & ! [V12r: $i] :
% 5.66/5.92 ( ( mem @ V12r @ ( ty_2Ering_2Ering @ A_27a ) )
% 5.66/5.92 => ! [V13g: $i] :
% 5.66/5.92 ( ( mem @ V13g @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.92 => ! [V14f: $i] :
% 5.66/5.92 ( ( mem @ V14f @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( c_2Ering_2Ering__RM__fupd @ A_27a ) @ V14f ) @ ( ap @ ( ap @ ( c_2Ering_2Ering__R1__fupd @ A_27a ) @ V13g ) @ V12r ) )
% 5.66/5.92 = ( ap @ ( ap @ ( c_2Ering_2Ering__R1__fupd @ A_27a ) @ V13g ) @ ( ap @ ( ap @ ( c_2Ering_2Ering__RM__fupd @ A_27a ) @ V14f ) @ V12r ) ) ) ) ) )
% 5.66/5.92 & ! [V15r: $i] :
% 5.66/5.92 ( ( mem @ V15r @ ( ty_2Ering_2Ering @ A_27a ) )
% 5.66/5.92 => ! [V16g: $i] :
% 5.66/5.92 ( ( mem @ V16g @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.66/5.92 => ! [V17f: $i] :
% 5.66/5.92 ( ( mem @ V17f @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( c_2Ering_2Ering__RM__fupd @ A_27a ) @ V17f ) @ ( ap @ ( ap @ ( c_2Ering_2Ering__RP__fupd @ A_27a ) @ V16g ) @ V15r ) )
% 5.66/5.92 = ( ap @ ( ap @ ( c_2Ering_2Ering__RP__fupd @ A_27a ) @ V16g ) @ ( ap @ ( ap @ ( c_2Ering_2Ering__RM__fupd @ A_27a ) @ V17f ) @ V15r ) ) ) ) ) )
% 5.66/5.92 & ! [V18r: $i] :
% 5.66/5.92 ( ( mem @ V18r @ ( ty_2Ering_2Ering @ A_27a ) )
% 5.66/5.92 => ! [V19g: $i] :
% 5.66/5.92 ( ( mem @ V19g @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.92 => ! [V20f: $i] :
% 5.66/5.92 ( ( mem @ V20f @ ( arr @ ( arr @ A_27a @ A_27a ) @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( c_2Ering_2Ering__RN__fupd @ A_27a ) @ V20f ) @ ( ap @ ( ap @ ( c_2Ering_2Ering__R0__fupd @ A_27a ) @ V19g ) @ V18r ) )
% 5.66/5.92 = ( ap @ ( ap @ ( c_2Ering_2Ering__R0__fupd @ A_27a ) @ V19g ) @ ( ap @ ( ap @ ( c_2Ering_2Ering__RN__fupd @ A_27a ) @ V20f ) @ V18r ) ) ) ) ) )
% 5.66/5.92 & ! [V21r: $i] :
% 5.66/5.92 ( ( mem @ V21r @ ( ty_2Ering_2Ering @ A_27a ) )
% 5.66/5.92 => ! [V22g: $i] :
% 5.66/5.92 ( ( mem @ V22g @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.92 => ! [V23f: $i] :
% 5.66/5.92 ( ( mem @ V23f @ ( arr @ ( arr @ A_27a @ A_27a ) @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( c_2Ering_2Ering__RN__fupd @ A_27a ) @ V23f ) @ ( ap @ ( ap @ ( c_2Ering_2Ering__R1__fupd @ A_27a ) @ V22g ) @ V21r ) )
% 5.66/5.92 = ( ap @ ( ap @ ( c_2Ering_2Ering__R1__fupd @ A_27a ) @ V22g ) @ ( ap @ ( ap @ ( c_2Ering_2Ering__RN__fupd @ A_27a ) @ V23f ) @ V21r ) ) ) ) ) )
% 5.66/5.92 & ! [V24r: $i] :
% 5.66/5.92 ( ( mem @ V24r @ ( ty_2Ering_2Ering @ A_27a ) )
% 5.66/5.92 => ! [V25g: $i] :
% 5.66/5.92 ( ( mem @ V25g @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.66/5.92 => ! [V26f: $i] :
% 5.66/5.92 ( ( mem @ V26f @ ( arr @ ( arr @ A_27a @ A_27a ) @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( c_2Ering_2Ering__RN__fupd @ A_27a ) @ V26f ) @ ( ap @ ( ap @ ( c_2Ering_2Ering__RP__fupd @ A_27a ) @ V25g ) @ V24r ) )
% 5.66/5.92 = ( ap @ ( ap @ ( c_2Ering_2Ering__RP__fupd @ A_27a ) @ V25g ) @ ( ap @ ( ap @ ( c_2Ering_2Ering__RN__fupd @ A_27a ) @ V26f ) @ V24r ) ) ) ) ) )
% 5.66/5.92 & ! [V27r: $i] :
% 5.66/5.92 ( ( mem @ V27r @ ( ty_2Ering_2Ering @ A_27a ) )
% 5.66/5.92 => ! [V28g: $i] :
% 5.66/5.92 ( ( mem @ V28g @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.66/5.92 => ! [V29f: $i] :
% 5.66/5.92 ( ( mem @ V29f @ ( arr @ ( arr @ A_27a @ A_27a ) @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( c_2Ering_2Ering__RN__fupd @ A_27a ) @ V29f ) @ ( ap @ ( ap @ ( c_2Ering_2Ering__RM__fupd @ A_27a ) @ V28g ) @ V27r ) )
% 5.66/5.92 = ( ap @ ( ap @ ( c_2Ering_2Ering__RM__fupd @ A_27a ) @ V28g ) @ ( ap @ ( ap @ ( c_2Ering_2Ering__RN__fupd @ A_27a ) @ V29f ) @ V27r ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ering_2Ering__fupdcanon__comp,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del] :
% 5.66/5.92 ( ! [V0g: $i] :
% 5.66/5.92 ( ( mem @ V0g @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.92 => ! [V1f: $i] :
% 5.66/5.92 ( ( mem @ V1f @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) ) @ ( ap @ ( c_2Ering_2Ering__R1__fupd @ A_27a ) @ V1f ) ) @ ( ap @ ( c_2Ering_2Ering__R0__fupd @ A_27a ) @ V0g ) )
% 5.66/5.92 = ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) ) @ ( ap @ ( c_2Ering_2Ering__R0__fupd @ A_27a ) @ V0g ) ) @ ( ap @ ( c_2Ering_2Ering__R1__fupd @ A_27a ) @ V1f ) ) ) ) )
% 5.66/5.92 & ! [V2h: $i] :
% 5.66/5.92 ( ( mem @ V2h @ ( arr @ A_27b @ ( ty_2Ering_2Ering @ A_27a ) ) )
% 5.66/5.92 => ! [V3g: $i] :
% 5.66/5.92 ( ( mem @ V3g @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.92 => ! [V4f: $i] :
% 5.66/5.92 ( ( mem @ V4f @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) ) @ ( ap @ ( c_2Ering_2Ering__R1__fupd @ A_27a ) @ V4f ) ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) ) @ ( ap @ ( c_2Ering_2Ering__R0__fupd @ A_27a ) @ V3g ) ) @ V2h ) )
% 5.66/5.92 = ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) ) @ ( ap @ ( c_2Ering_2Ering__R0__fupd @ A_27a ) @ V3g ) ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) ) @ ( ap @ ( c_2Ering_2Ering__R1__fupd @ A_27a ) @ V4f ) ) @ V2h ) ) ) ) ) )
% 5.66/5.92 & ! [V5g: $i] :
% 5.66/5.92 ( ( mem @ V5g @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.92 => ! [V6f: $i] :
% 5.66/5.92 ( ( mem @ V6f @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) ) @ ( ap @ ( c_2Ering_2Ering__RP__fupd @ A_27a ) @ V6f ) ) @ ( ap @ ( c_2Ering_2Ering__R0__fupd @ A_27a ) @ V5g ) )
% 5.66/5.92 = ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) ) @ ( ap @ ( c_2Ering_2Ering__R0__fupd @ A_27a ) @ V5g ) ) @ ( ap @ ( c_2Ering_2Ering__RP__fupd @ A_27a ) @ V6f ) ) ) ) )
% 5.66/5.92 & ! [V7h: $i] :
% 5.66/5.92 ( ( mem @ V7h @ ( arr @ A_27b @ ( ty_2Ering_2Ering @ A_27a ) ) )
% 5.66/5.92 => ! [V8g: $i] :
% 5.66/5.92 ( ( mem @ V8g @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.92 => ! [V9f: $i] :
% 5.66/5.92 ( ( mem @ V9f @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) ) @ ( ap @ ( c_2Ering_2Ering__RP__fupd @ A_27a ) @ V9f ) ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) ) @ ( ap @ ( c_2Ering_2Ering__R0__fupd @ A_27a ) @ V8g ) ) @ V7h ) )
% 5.66/5.92 = ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) ) @ ( ap @ ( c_2Ering_2Ering__R0__fupd @ A_27a ) @ V8g ) ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) ) @ ( ap @ ( c_2Ering_2Ering__RP__fupd @ A_27a ) @ V9f ) ) @ V7h ) ) ) ) ) )
% 5.66/5.92 & ! [V10g: $i] :
% 5.66/5.92 ( ( mem @ V10g @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.92 => ! [V11f: $i] :
% 5.66/5.92 ( ( mem @ V11f @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) ) @ ( ap @ ( c_2Ering_2Ering__RP__fupd @ A_27a ) @ V11f ) ) @ ( ap @ ( c_2Ering_2Ering__R1__fupd @ A_27a ) @ V10g ) )
% 5.66/5.92 = ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) ) @ ( ap @ ( c_2Ering_2Ering__R1__fupd @ A_27a ) @ V10g ) ) @ ( ap @ ( c_2Ering_2Ering__RP__fupd @ A_27a ) @ V11f ) ) ) ) )
% 5.66/5.92 & ! [V12h: $i] :
% 5.66/5.92 ( ( mem @ V12h @ ( arr @ A_27b @ ( ty_2Ering_2Ering @ A_27a ) ) )
% 5.66/5.92 => ! [V13g: $i] :
% 5.66/5.92 ( ( mem @ V13g @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.92 => ! [V14f: $i] :
% 5.66/5.92 ( ( mem @ V14f @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) ) @ ( ap @ ( c_2Ering_2Ering__RP__fupd @ A_27a ) @ V14f ) ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) ) @ ( ap @ ( c_2Ering_2Ering__R1__fupd @ A_27a ) @ V13g ) ) @ V12h ) )
% 5.66/5.92 = ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) ) @ ( ap @ ( c_2Ering_2Ering__R1__fupd @ A_27a ) @ V13g ) ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) ) @ ( ap @ ( c_2Ering_2Ering__RP__fupd @ A_27a ) @ V14f ) ) @ V12h ) ) ) ) ) )
% 5.66/5.92 & ! [V15g: $i] :
% 5.66/5.92 ( ( mem @ V15g @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.92 => ! [V16f: $i] :
% 5.66/5.92 ( ( mem @ V16f @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) ) @ ( ap @ ( c_2Ering_2Ering__RM__fupd @ A_27a ) @ V16f ) ) @ ( ap @ ( c_2Ering_2Ering__R0__fupd @ A_27a ) @ V15g ) )
% 5.66/5.92 = ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) ) @ ( ap @ ( c_2Ering_2Ering__R0__fupd @ A_27a ) @ V15g ) ) @ ( ap @ ( c_2Ering_2Ering__RM__fupd @ A_27a ) @ V16f ) ) ) ) )
% 5.66/5.92 & ! [V17h: $i] :
% 5.66/5.92 ( ( mem @ V17h @ ( arr @ A_27b @ ( ty_2Ering_2Ering @ A_27a ) ) )
% 5.66/5.92 => ! [V18g: $i] :
% 5.66/5.92 ( ( mem @ V18g @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.92 => ! [V19f: $i] :
% 5.66/5.92 ( ( mem @ V19f @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) ) @ ( ap @ ( c_2Ering_2Ering__RM__fupd @ A_27a ) @ V19f ) ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) ) @ ( ap @ ( c_2Ering_2Ering__R0__fupd @ A_27a ) @ V18g ) ) @ V17h ) )
% 5.66/5.92 = ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) ) @ ( ap @ ( c_2Ering_2Ering__R0__fupd @ A_27a ) @ V18g ) ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) ) @ ( ap @ ( c_2Ering_2Ering__RM__fupd @ A_27a ) @ V19f ) ) @ V17h ) ) ) ) ) )
% 5.66/5.92 & ! [V20g: $i] :
% 5.66/5.92 ( ( mem @ V20g @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.92 => ! [V21f: $i] :
% 5.66/5.92 ( ( mem @ V21f @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) ) @ ( ap @ ( c_2Ering_2Ering__RM__fupd @ A_27a ) @ V21f ) ) @ ( ap @ ( c_2Ering_2Ering__R1__fupd @ A_27a ) @ V20g ) )
% 5.66/5.92 = ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) ) @ ( ap @ ( c_2Ering_2Ering__R1__fupd @ A_27a ) @ V20g ) ) @ ( ap @ ( c_2Ering_2Ering__RM__fupd @ A_27a ) @ V21f ) ) ) ) )
% 5.66/5.92 & ! [V22h: $i] :
% 5.66/5.92 ( ( mem @ V22h @ ( arr @ A_27b @ ( ty_2Ering_2Ering @ A_27a ) ) )
% 5.66/5.92 => ! [V23g: $i] :
% 5.66/5.92 ( ( mem @ V23g @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.92 => ! [V24f: $i] :
% 5.66/5.92 ( ( mem @ V24f @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) ) @ ( ap @ ( c_2Ering_2Ering__RM__fupd @ A_27a ) @ V24f ) ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) ) @ ( ap @ ( c_2Ering_2Ering__R1__fupd @ A_27a ) @ V23g ) ) @ V22h ) )
% 5.66/5.92 = ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) ) @ ( ap @ ( c_2Ering_2Ering__R1__fupd @ A_27a ) @ V23g ) ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) ) @ ( ap @ ( c_2Ering_2Ering__RM__fupd @ A_27a ) @ V24f ) ) @ V22h ) ) ) ) ) )
% 5.66/5.92 & ! [V25g: $i] :
% 5.66/5.92 ( ( mem @ V25g @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.66/5.92 => ! [V26f: $i] :
% 5.66/5.92 ( ( mem @ V26f @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) ) @ ( ap @ ( c_2Ering_2Ering__RM__fupd @ A_27a ) @ V26f ) ) @ ( ap @ ( c_2Ering_2Ering__RP__fupd @ A_27a ) @ V25g ) )
% 5.66/5.92 = ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) ) @ ( ap @ ( c_2Ering_2Ering__RP__fupd @ A_27a ) @ V25g ) ) @ ( ap @ ( c_2Ering_2Ering__RM__fupd @ A_27a ) @ V26f ) ) ) ) )
% 5.66/5.92 & ! [V27h: $i] :
% 5.66/5.92 ( ( mem @ V27h @ ( arr @ A_27b @ ( ty_2Ering_2Ering @ A_27a ) ) )
% 5.66/5.92 => ! [V28g: $i] :
% 5.66/5.92 ( ( mem @ V28g @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.66/5.92 => ! [V29f: $i] :
% 5.66/5.92 ( ( mem @ V29f @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) ) @ ( ap @ ( c_2Ering_2Ering__RM__fupd @ A_27a ) @ V29f ) ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) ) @ ( ap @ ( c_2Ering_2Ering__RP__fupd @ A_27a ) @ V28g ) ) @ V27h ) )
% 5.66/5.92 = ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) ) @ ( ap @ ( c_2Ering_2Ering__RP__fupd @ A_27a ) @ V28g ) ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) ) @ ( ap @ ( c_2Ering_2Ering__RM__fupd @ A_27a ) @ V29f ) ) @ V27h ) ) ) ) ) )
% 5.66/5.92 & ! [V30g: $i] :
% 5.66/5.92 ( ( mem @ V30g @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.92 => ! [V31f: $i] :
% 5.66/5.92 ( ( mem @ V31f @ ( arr @ ( arr @ A_27a @ A_27a ) @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) ) @ ( ap @ ( c_2Ering_2Ering__RN__fupd @ A_27a ) @ V31f ) ) @ ( ap @ ( c_2Ering_2Ering__R0__fupd @ A_27a ) @ V30g ) )
% 5.66/5.92 = ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) ) @ ( ap @ ( c_2Ering_2Ering__R0__fupd @ A_27a ) @ V30g ) ) @ ( ap @ ( c_2Ering_2Ering__RN__fupd @ A_27a ) @ V31f ) ) ) ) )
% 5.66/5.92 & ! [V32h: $i] :
% 5.66/5.92 ( ( mem @ V32h @ ( arr @ A_27b @ ( ty_2Ering_2Ering @ A_27a ) ) )
% 5.66/5.92 => ! [V33g: $i] :
% 5.66/5.92 ( ( mem @ V33g @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.92 => ! [V34f: $i] :
% 5.66/5.92 ( ( mem @ V34f @ ( arr @ ( arr @ A_27a @ A_27a ) @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) ) @ ( ap @ ( c_2Ering_2Ering__RN__fupd @ A_27a ) @ V34f ) ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) ) @ ( ap @ ( c_2Ering_2Ering__R0__fupd @ A_27a ) @ V33g ) ) @ V32h ) )
% 5.66/5.92 = ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) ) @ ( ap @ ( c_2Ering_2Ering__R0__fupd @ A_27a ) @ V33g ) ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) ) @ ( ap @ ( c_2Ering_2Ering__RN__fupd @ A_27a ) @ V34f ) ) @ V32h ) ) ) ) ) )
% 5.66/5.92 & ! [V35g: $i] :
% 5.66/5.92 ( ( mem @ V35g @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.92 => ! [V36f: $i] :
% 5.66/5.92 ( ( mem @ V36f @ ( arr @ ( arr @ A_27a @ A_27a ) @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) ) @ ( ap @ ( c_2Ering_2Ering__RN__fupd @ A_27a ) @ V36f ) ) @ ( ap @ ( c_2Ering_2Ering__R1__fupd @ A_27a ) @ V35g ) )
% 5.66/5.92 = ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) ) @ ( ap @ ( c_2Ering_2Ering__R1__fupd @ A_27a ) @ V35g ) ) @ ( ap @ ( c_2Ering_2Ering__RN__fupd @ A_27a ) @ V36f ) ) ) ) )
% 5.66/5.92 & ! [V37h: $i] :
% 5.66/5.92 ( ( mem @ V37h @ ( arr @ A_27b @ ( ty_2Ering_2Ering @ A_27a ) ) )
% 5.66/5.92 => ! [V38g: $i] :
% 5.66/5.92 ( ( mem @ V38g @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.92 => ! [V39f: $i] :
% 5.66/5.92 ( ( mem @ V39f @ ( arr @ ( arr @ A_27a @ A_27a ) @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) ) @ ( ap @ ( c_2Ering_2Ering__RN__fupd @ A_27a ) @ V39f ) ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) ) @ ( ap @ ( c_2Ering_2Ering__R1__fupd @ A_27a ) @ V38g ) ) @ V37h ) )
% 5.66/5.92 = ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) ) @ ( ap @ ( c_2Ering_2Ering__R1__fupd @ A_27a ) @ V38g ) ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) ) @ ( ap @ ( c_2Ering_2Ering__RN__fupd @ A_27a ) @ V39f ) ) @ V37h ) ) ) ) ) )
% 5.66/5.92 & ! [V40g: $i] :
% 5.66/5.92 ( ( mem @ V40g @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.66/5.92 => ! [V41f: $i] :
% 5.66/5.92 ( ( mem @ V41f @ ( arr @ ( arr @ A_27a @ A_27a ) @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) ) @ ( ap @ ( c_2Ering_2Ering__RN__fupd @ A_27a ) @ V41f ) ) @ ( ap @ ( c_2Ering_2Ering__RP__fupd @ A_27a ) @ V40g ) )
% 5.66/5.92 = ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) ) @ ( ap @ ( c_2Ering_2Ering__RP__fupd @ A_27a ) @ V40g ) ) @ ( ap @ ( c_2Ering_2Ering__RN__fupd @ A_27a ) @ V41f ) ) ) ) )
% 5.66/5.92 & ! [V42h: $i] :
% 5.66/5.92 ( ( mem @ V42h @ ( arr @ A_27b @ ( ty_2Ering_2Ering @ A_27a ) ) )
% 5.66/5.92 => ! [V43g: $i] :
% 5.66/5.92 ( ( mem @ V43g @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.66/5.92 => ! [V44f: $i] :
% 5.66/5.92 ( ( mem @ V44f @ ( arr @ ( arr @ A_27a @ A_27a ) @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) ) @ ( ap @ ( c_2Ering_2Ering__RN__fupd @ A_27a ) @ V44f ) ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) ) @ ( ap @ ( c_2Ering_2Ering__RP__fupd @ A_27a ) @ V43g ) ) @ V42h ) )
% 5.66/5.92 = ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) ) @ ( ap @ ( c_2Ering_2Ering__RP__fupd @ A_27a ) @ V43g ) ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) ) @ ( ap @ ( c_2Ering_2Ering__RN__fupd @ A_27a ) @ V44f ) ) @ V42h ) ) ) ) ) )
% 5.66/5.92 & ! [V45g: $i] :
% 5.66/5.92 ( ( mem @ V45g @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.66/5.92 => ! [V46f: $i] :
% 5.66/5.92 ( ( mem @ V46f @ ( arr @ ( arr @ A_27a @ A_27a ) @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) ) @ ( ap @ ( c_2Ering_2Ering__RN__fupd @ A_27a ) @ V46f ) ) @ ( ap @ ( c_2Ering_2Ering__RM__fupd @ A_27a ) @ V45g ) )
% 5.66/5.92 = ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) ) @ ( ap @ ( c_2Ering_2Ering__RM__fupd @ A_27a ) @ V45g ) ) @ ( ap @ ( c_2Ering_2Ering__RN__fupd @ A_27a ) @ V46f ) ) ) ) )
% 5.66/5.92 & ! [V47h: $i] :
% 5.66/5.92 ( ( mem @ V47h @ ( arr @ A_27b @ ( ty_2Ering_2Ering @ A_27a ) ) )
% 5.66/5.92 => ! [V48g: $i] :
% 5.66/5.92 ( ( mem @ V48g @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) )
% 5.66/5.92 => ! [V49f: $i] :
% 5.66/5.92 ( ( mem @ V49f @ ( arr @ ( arr @ A_27a @ A_27a ) @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) ) @ ( ap @ ( c_2Ering_2Ering__RN__fupd @ A_27a ) @ V49f ) ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) ) @ ( ap @ ( c_2Ering_2Ering__RM__fupd @ A_27a ) @ V48g ) ) @ V47h ) )
% 5.66/5.92 = ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) ) @ ( ap @ ( c_2Ering_2Ering__RM__fupd @ A_27a ) @ V48g ) ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27b @ ( ty_2Ering_2Ering @ A_27a ) @ ( ty_2Ering_2Ering @ A_27a ) ) @ ( ap @ ( c_2Ering_2Ering__RN__fupd @ A_27a ) @ V49f ) ) @ V47h ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ering_2Ering__component__equality,axiom,
% 5.66/5.92 ! [A_27a: del,V0r1: $i] :
% 5.66/5.92 ( ( mem @ V0r1 @ ( ty_2Ering_2Ering @ A_27a ) )
% 5.66/5.92 => ! [V1r2: $i] :
% 5.66/5.92 ( ( mem @ V1r2 @ ( ty_2Ering_2Ering @ A_27a ) )
% 5.66/5.92 => ( ( V0r1 = V1r2 )
% 5.66/5.92 <=> ( ( ( ap @ ( c_2Ering_2Ering__R0 @ A_27a ) @ V0r1 )
% 5.66/5.92 = ( ap @ ( c_2Ering_2Ering__R0 @ A_27a ) @ V1r2 ) )
% 5.66/5.92 & ( ( ap @ ( c_2Ering_2Ering__R1 @ A_27a ) @ V0r1 )
% 5.66/5.92 = ( ap @ ( c_2Ering_2Ering__R1 @ A_27a ) @ V1r2 ) )
% 5.66/5.92 & ( ( ap @ ( c_2Ering_2Ering__RP @ A_27a ) @ V0r1 )
% 5.66/5.92 = ( ap @ ( c_2Ering_2Ering__RP @ A_27a ) @ V1r2 ) )
% 5.66/5.92 & ( ( ap @ ( c_2Ering_2Ering__RM @ A_27a ) @ V0r1 )
% 5.66/5.92 = ( ap @ ( c_2Ering_2Ering__RM @ A_27a ) @ V1r2 ) )
% 5.66/5.92 & ( ( ap @ ( c_2Ering_2Ering__RN @ A_27a ) @ V0r1 )
% 5.66/5.92 = ( ap @ ( c_2Ering_2Ering__RN @ A_27a ) @ V1r2 ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ering_2Ering__updates__eq__literal,axiom,
% 5.66/5.92 ! [A_27a: del,V0r: $i] :
% 5.66/5.92 ( ( mem @ V0r @ ( ty_2Ering_2Ering @ A_27a ) )
% 5.66/5.92 => ! [V1a0: $i] :
% 5.66/5.92 ( ( mem @ V1a0 @ A_27a )
% 5.66/5.92 => ! [V2a: $i] :
% 5.66/5.92 ( ( mem @ V2a @ A_27a )
% 5.66/5.92 => ! [V3f1: $i] :
% 5.66/5.92 ( ( mem @ V3f1 @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 => ! [V4f0: $i] :
% 5.66/5.92 ( ( mem @ V4f0 @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 => ! [V5f: $i] :
% 5.66/5.92 ( ( mem @ V5f @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( c_2Ering_2Ering__R0__fupd @ A_27a ) @ ( ap @ ( c_2Ecombin_2EK @ A_27a @ A_27a ) @ V1a0 ) ) @ ( ap @ ( ap @ ( c_2Ering_2Ering__R1__fupd @ A_27a ) @ ( ap @ ( c_2Ecombin_2EK @ A_27a @ A_27a ) @ V2a ) ) @ ( ap @ ( ap @ ( c_2Ering_2Ering__RP__fupd @ A_27a ) @ ( ap @ ( c_2Ecombin_2EK @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) @ V3f1 ) ) @ ( ap @ ( ap @ ( c_2Ering_2Ering__RM__fupd @ A_27a ) @ ( ap @ ( c_2Ecombin_2EK @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) @ V4f0 ) ) @ ( ap @ ( ap @ ( c_2Ering_2Ering__RN__fupd @ A_27a ) @ ( ap @ ( c_2Ecombin_2EK @ ( arr @ A_27a @ A_27a ) @ ( arr @ A_27a @ A_27a ) ) @ V5f ) ) @ V0r ) ) ) ) )
% 5.66/5.92 = ( ap @ ( ap @ ( c_2Ering_2Ering__R0__fupd @ A_27a ) @ ( ap @ ( c_2Ecombin_2EK @ A_27a @ A_27a ) @ V1a0 ) ) @ ( ap @ ( ap @ ( c_2Ering_2Ering__R1__fupd @ A_27a ) @ ( ap @ ( c_2Ecombin_2EK @ A_27a @ A_27a ) @ V2a ) ) @ ( ap @ ( ap @ ( c_2Ering_2Ering__RP__fupd @ A_27a ) @ ( ap @ ( c_2Ecombin_2EK @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) @ V3f1 ) ) @ ( ap @ ( ap @ ( c_2Ering_2Ering__RM__fupd @ A_27a ) @ ( ap @ ( c_2Ecombin_2EK @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) @ V4f0 ) ) @ ( ap @ ( ap @ ( c_2Ering_2Ering__RN__fupd @ A_27a ) @ ( ap @ ( c_2Ecombin_2EK @ ( arr @ A_27a @ A_27a ) @ ( arr @ A_27a @ A_27a ) ) @ V5f ) ) @ ( c_2Ebool_2EARB @ ( ty_2Ering_2Ering @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ering_2Ering__literal__nchotomy,axiom,
% 5.66/5.92 ! [A_27a: del,V0r: $i] :
% 5.66/5.92 ( ( mem @ V0r @ ( ty_2Ering_2Ering @ A_27a ) )
% 5.66/5.92 => ? [V1a0: $i] :
% 5.66/5.92 ( ( mem @ V1a0 @ A_27a )
% 5.66/5.92 & ? [V2a: $i] :
% 5.66/5.92 ( ( mem @ V2a @ A_27a )
% 5.66/5.92 & ? [V3f1: $i] :
% 5.66/5.92 ( ( mem @ V3f1 @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 & ? [V4f0: $i] :
% 5.66/5.92 ( ( mem @ V4f0 @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 & ? [V5f: $i] :
% 5.66/5.92 ( ( mem @ V5f @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.92 & ( V0r
% 5.66/5.92 = ( ap @ ( ap @ ( c_2Ering_2Ering__R0__fupd @ A_27a ) @ ( ap @ ( c_2Ecombin_2EK @ A_27a @ A_27a ) @ V1a0 ) ) @ ( ap @ ( ap @ ( c_2Ering_2Ering__R1__fupd @ A_27a ) @ ( ap @ ( c_2Ecombin_2EK @ A_27a @ A_27a ) @ V2a ) ) @ ( ap @ ( ap @ ( c_2Ering_2Ering__RP__fupd @ A_27a ) @ ( ap @ ( c_2Ecombin_2EK @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) @ V3f1 ) ) @ ( ap @ ( ap @ ( c_2Ering_2Ering__RM__fupd @ A_27a ) @ ( ap @ ( c_2Ecombin_2EK @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) @ V4f0 ) ) @ ( ap @ ( ap @ ( c_2Ering_2Ering__RN__fupd @ A_27a ) @ ( ap @ ( c_2Ecombin_2EK @ ( arr @ A_27a @ A_27a ) @ ( arr @ A_27a @ A_27a ) ) @ V5f ) ) @ ( c_2Ebool_2EARB @ ( ty_2Ering_2Ering @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ering_2EFORALL__ring,axiom,
% 5.66/5.92 ! [A_27a: del,V0P: $i] :
% 5.66/5.92 ( ( mem @ V0P @ ( arr @ ( ty_2Ering_2Ering @ A_27a ) @ bool ) )
% 5.66/5.92 => ( ! [V1r: $i] :
% 5.66/5.92 ( ( mem @ V1r @ ( ty_2Ering_2Ering @ A_27a ) )
% 5.66/5.92 => ( p @ ( ap @ V0P @ V1r ) ) )
% 5.66/5.92 <=> ! [V2a0: $i] :
% 5.66/5.92 ( ( mem @ V2a0 @ A_27a )
% 5.66/5.92 => ! [V3a: $i] :
% 5.66/5.92 ( ( mem @ V3a @ A_27a )
% 5.66/5.92 => ! [V4f1: $i] :
% 5.66/5.92 ( ( mem @ V4f1 @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 => ! [V5f0: $i] :
% 5.66/5.92 ( ( mem @ V5f0 @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 => ! [V6f: $i] :
% 5.66/5.92 ( ( mem @ V6f @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.92 => ( p @ ( ap @ V0P @ ( ap @ ( ap @ ( c_2Ering_2Ering__R0__fupd @ A_27a ) @ ( ap @ ( c_2Ecombin_2EK @ A_27a @ A_27a ) @ V2a0 ) ) @ ( ap @ ( ap @ ( c_2Ering_2Ering__R1__fupd @ A_27a ) @ ( ap @ ( c_2Ecombin_2EK @ A_27a @ A_27a ) @ V3a ) ) @ ( ap @ ( ap @ ( c_2Ering_2Ering__RP__fupd @ A_27a ) @ ( ap @ ( c_2Ecombin_2EK @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) @ V4f1 ) ) @ ( ap @ ( ap @ ( c_2Ering_2Ering__RM__fupd @ A_27a ) @ ( ap @ ( c_2Ecombin_2EK @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) @ V5f0 ) ) @ ( ap @ ( ap @ ( c_2Ering_2Ering__RN__fupd @ A_27a ) @ ( ap @ ( c_2Ecombin_2EK @ ( arr @ A_27a @ A_27a ) @ ( arr @ A_27a @ A_27a ) ) @ V6f ) ) @ ( c_2Ebool_2EARB @ ( ty_2Ering_2Ering @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ering_2EEXISTS__ring,axiom,
% 5.66/5.92 ! [A_27a: del,V0P: $i] :
% 5.66/5.92 ( ( mem @ V0P @ ( arr @ ( ty_2Ering_2Ering @ A_27a ) @ bool ) )
% 5.66/5.92 => ( ? [V1r: $i] :
% 5.66/5.92 ( ( mem @ V1r @ ( ty_2Ering_2Ering @ A_27a ) )
% 5.66/5.92 & ( p @ ( ap @ V0P @ V1r ) ) )
% 5.66/5.92 <=> ? [V2a0: $i] :
% 5.66/5.92 ( ( mem @ V2a0 @ A_27a )
% 5.66/5.92 & ? [V3a: $i] :
% 5.66/5.92 ( ( mem @ V3a @ A_27a )
% 5.66/5.92 & ? [V4f1: $i] :
% 5.66/5.92 ( ( mem @ V4f1 @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 & ? [V5f0: $i] :
% 5.66/5.92 ( ( mem @ V5f0 @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 & ? [V6f: $i] :
% 5.66/5.92 ( ( mem @ V6f @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.92 & ( p @ ( ap @ V0P @ ( ap @ ( ap @ ( c_2Ering_2Ering__R0__fupd @ A_27a ) @ ( ap @ ( c_2Ecombin_2EK @ A_27a @ A_27a ) @ V2a0 ) ) @ ( ap @ ( ap @ ( c_2Ering_2Ering__R1__fupd @ A_27a ) @ ( ap @ ( c_2Ecombin_2EK @ A_27a @ A_27a ) @ V3a ) ) @ ( ap @ ( ap @ ( c_2Ering_2Ering__RP__fupd @ A_27a ) @ ( ap @ ( c_2Ecombin_2EK @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) @ V4f1 ) ) @ ( ap @ ( ap @ ( c_2Ering_2Ering__RM__fupd @ A_27a ) @ ( ap @ ( c_2Ecombin_2EK @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) @ V5f0 ) ) @ ( ap @ ( ap @ ( c_2Ering_2Ering__RN__fupd @ A_27a ) @ ( ap @ ( c_2Ecombin_2EK @ ( arr @ A_27a @ A_27a ) @ ( arr @ A_27a @ A_27a ) ) @ V6f ) ) @ ( c_2Ebool_2EARB @ ( ty_2Ering_2Ering @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ering_2Ering__literal__11,axiom,
% 5.66/5.92 ! [A_27a: del,V0a01: $i] :
% 5.66/5.92 ( ( mem @ V0a01 @ A_27a )
% 5.66/5.92 => ! [V1a1: $i] :
% 5.66/5.92 ( ( mem @ V1a1 @ A_27a )
% 5.66/5.92 => ! [V2f11: $i] :
% 5.66/5.92 ( ( mem @ V2f11 @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 => ! [V3f01: $i] :
% 5.66/5.92 ( ( mem @ V3f01 @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 => ! [V4f1: $i] :
% 5.66/5.92 ( ( mem @ V4f1 @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.92 => ! [V5a02: $i] :
% 5.66/5.92 ( ( mem @ V5a02 @ A_27a )
% 5.66/5.92 => ! [V6a2: $i] :
% 5.66/5.92 ( ( mem @ V6a2 @ A_27a )
% 5.66/5.92 => ! [V7f12: $i] :
% 5.66/5.92 ( ( mem @ V7f12 @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 => ! [V8f02: $i] :
% 5.66/5.92 ( ( mem @ V8f02 @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 => ! [V9f2: $i] :
% 5.66/5.92 ( ( mem @ V9f2 @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.92 => ( ( ( ap @ ( ap @ ( c_2Ering_2Ering__R0__fupd @ A_27a ) @ ( ap @ ( c_2Ecombin_2EK @ A_27a @ A_27a ) @ V0a01 ) ) @ ( ap @ ( ap @ ( c_2Ering_2Ering__R1__fupd @ A_27a ) @ ( ap @ ( c_2Ecombin_2EK @ A_27a @ A_27a ) @ V1a1 ) ) @ ( ap @ ( ap @ ( c_2Ering_2Ering__RP__fupd @ A_27a ) @ ( ap @ ( c_2Ecombin_2EK @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) @ V2f11 ) ) @ ( ap @ ( ap @ ( c_2Ering_2Ering__RM__fupd @ A_27a ) @ ( ap @ ( c_2Ecombin_2EK @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) @ V3f01 ) ) @ ( ap @ ( ap @ ( c_2Ering_2Ering__RN__fupd @ A_27a ) @ ( ap @ ( c_2Ecombin_2EK @ ( arr @ A_27a @ A_27a ) @ ( arr @ A_27a @ A_27a ) ) @ V4f1 ) ) @ ( c_2Ebool_2EARB @ ( ty_2Ering_2Ering @ A_27a ) ) ) ) ) ) )
% 5.66/5.92 = ( ap @ ( ap @ ( c_2Ering_2Ering__R0__fupd @ A_27a ) @ ( ap @ ( c_2Ecombin_2EK @ A_27a @ A_27a ) @ V5a02 ) ) @ ( ap @ ( ap @ ( c_2Ering_2Ering__R1__fupd @ A_27a ) @ ( ap @ ( c_2Ecombin_2EK @ A_27a @ A_27a ) @ V6a2 ) ) @ ( ap @ ( ap @ ( c_2Ering_2Ering__RP__fupd @ A_27a ) @ ( ap @ ( c_2Ecombin_2EK @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) @ V7f12 ) ) @ ( ap @ ( ap @ ( c_2Ering_2Ering__RM__fupd @ A_27a ) @ ( ap @ ( c_2Ecombin_2EK @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) ) @ V8f02 ) ) @ ( ap @ ( ap @ ( c_2Ering_2Ering__RN__fupd @ A_27a ) @ ( ap @ ( c_2Ecombin_2EK @ ( arr @ A_27a @ A_27a ) @ ( arr @ A_27a @ A_27a ) ) @ V9f2 ) ) @ ( c_2Ebool_2EARB @ ( ty_2Ering_2Ering @ A_27a ) ) ) ) ) ) ) )
% 5.66/5.92 <=> ( ( V0a01 = V5a02 )
% 5.66/5.92 & ( V1a1 = V6a2 )
% 5.66/5.92 & ( V2f11 = V7f12 )
% 5.66/5.92 & ( V3f01 = V8f02 )
% 5.66/5.92 & ( V4f1 = V9f2 ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ering_2Edatatype__ring,axiom,
% 5.66/5.92 ! [A_27a: del,V0record: $i] :
% 5.66/5.92 ( ( mem @ V0record @ ( arr @ ( ty_2Ering_2Ering @ A_27a ) @ ( arr @ A_27a @ ( arr @ A_27a @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ ( arr @ A_27a @ A_27a ) @ bool ) ) ) ) ) ) )
% 5.66/5.92 => ! [V1ring: $i] :
% 5.66/5.92 ( ( mem @ V1ring @ ( ty_2Ering_2Ering @ A_27a ) )
% 5.66/5.92 => ! [V2R0: $i] :
% 5.66/5.92 ( ( mem @ V2R0 @ A_27a )
% 5.66/5.92 => ! [V3R1: $i] :
% 5.66/5.92 ( ( mem @ V3R1 @ A_27a )
% 5.66/5.92 => ! [V4RP: $i] :
% 5.66/5.92 ( ( mem @ V4RP @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 => ! [V5RM: $i] :
% 5.66/5.92 ( ( mem @ V5RM @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 => ! [V6RN: $i] :
% 5.66/5.92 ( ( mem @ V6RN @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.92 => ( p @ ( ap @ ( c_2Ebool_2EDATATYPE @ bool ) @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ V0record @ V1ring ) @ V2R0 ) @ V3R1 ) @ V4RP ) @ V5RM ) @ V6RN ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ering_2Ering__11,axiom,
% 5.66/5.92 ! [A_27a: del,V0a0: $i] :
% 5.66/5.92 ( ( mem @ V0a0 @ A_27a )
% 5.66/5.92 => ! [V1a1: $i] :
% 5.66/5.92 ( ( mem @ V1a1 @ A_27a )
% 5.66/5.92 => ! [V2a2: $i] :
% 5.66/5.92 ( ( mem @ V2a2 @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 => ! [V3a3: $i] :
% 5.66/5.92 ( ( mem @ V3a3 @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 => ! [V4a4: $i] :
% 5.66/5.92 ( ( mem @ V4a4 @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.92 => ! [V5a0_27: $i] :
% 5.66/5.92 ( ( mem @ V5a0_27 @ A_27a )
% 5.66/5.92 => ! [V6a1_27: $i] :
% 5.66/5.92 ( ( mem @ V6a1_27 @ A_27a )
% 5.66/5.92 => ! [V7a2_27: $i] :
% 5.66/5.92 ( ( mem @ V7a2_27 @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 => ! [V8a3_27: $i] :
% 5.66/5.92 ( ( mem @ V8a3_27 @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 => ! [V9a4_27: $i] :
% 5.66/5.92 ( ( mem @ V9a4_27 @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.92 => ( ( ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Ering_2Erecordtype_2Ering @ A_27a ) @ V0a0 ) @ V1a1 ) @ V2a2 ) @ V3a3 ) @ V4a4 )
% 5.66/5.92 = ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Ering_2Erecordtype_2Ering @ A_27a ) @ V5a0_27 ) @ V6a1_27 ) @ V7a2_27 ) @ V8a3_27 ) @ V9a4_27 ) )
% 5.66/5.92 <=> ( ( V0a0 = V5a0_27 )
% 5.66/5.92 & ( V1a1 = V6a1_27 )
% 5.66/5.92 & ( V2a2 = V7a2_27 )
% 5.66/5.92 & ( V3a3 = V8a3_27 )
% 5.66/5.92 & ( V4a4 = V9a4_27 ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ering_2Ering__nchotomy,axiom,
% 5.66/5.92 ! [A_27a: del,V0rr: $i] :
% 5.66/5.92 ( ( mem @ V0rr @ ( ty_2Ering_2Ering @ A_27a ) )
% 5.66/5.92 => ? [V1a: $i] :
% 5.66/5.92 ( ( mem @ V1a @ A_27a )
% 5.66/5.92 & ? [V2a0: $i] :
% 5.66/5.92 ( ( mem @ V2a0 @ A_27a )
% 5.66/5.92 & ? [V3f: $i] :
% 5.66/5.92 ( ( mem @ V3f @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 & ? [V4f0: $i] :
% 5.66/5.92 ( ( mem @ V4f0 @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 & ? [V5f1: $i] :
% 5.66/5.92 ( ( mem @ V5f1 @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.92 & ( V0rr
% 5.66/5.92 = ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Ering_2Erecordtype_2Ering @ A_27a ) @ V1a ) @ V2a0 ) @ V3f ) @ V4f0 ) @ V5f1 ) ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ering_2Ering__Axiom,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.92 ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27a @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ ( arr @ A_27a @ A_27a ) @ A_27b ) ) ) ) ) )
% 5.66/5.92 => ? [V1fn: $i] :
% 5.66/5.92 ( ( mem @ V1fn @ ( arr @ ( ty_2Ering_2Ering @ A_27a ) @ A_27b ) )
% 5.66/5.92 & ! [V2a0: $i] :
% 5.66/5.92 ( ( mem @ V2a0 @ A_27a )
% 5.66/5.92 => ! [V3a1: $i] :
% 5.66/5.92 ( ( mem @ V3a1 @ A_27a )
% 5.66/5.92 => ! [V4a2: $i] :
% 5.66/5.92 ( ( mem @ V4a2 @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 => ! [V5a3: $i] :
% 5.66/5.92 ( ( mem @ V5a3 @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 => ! [V6a4: $i] :
% 5.66/5.92 ( ( mem @ V6a4 @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.92 => ( ( ap @ V1fn @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Ering_2Erecordtype_2Ering @ A_27a ) @ V2a0 ) @ V3a1 ) @ V4a2 ) @ V5a3 ) @ V6a4 ) )
% 5.66/5.92 = ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ V0f @ V2a0 ) @ V3a1 ) @ V4a2 ) @ V5a3 ) @ V6a4 ) ) ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ering_2Ering__induction,axiom,
% 5.66/5.92 ! [A_27a: del,V0P: $i] :
% 5.66/5.92 ( ( mem @ V0P @ ( arr @ ( ty_2Ering_2Ering @ A_27a ) @ bool ) )
% 5.66/5.92 => ( ! [V1a: $i] :
% 5.66/5.92 ( ( mem @ V1a @ A_27a )
% 5.66/5.92 => ! [V2a0: $i] :
% 5.66/5.92 ( ( mem @ V2a0 @ A_27a )
% 5.66/5.92 => ! [V3f: $i] :
% 5.66/5.92 ( ( mem @ V3f @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 => ! [V4f0: $i] :
% 5.66/5.92 ( ( mem @ V4f0 @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 => ! [V5f1: $i] :
% 5.66/5.92 ( ( mem @ V5f1 @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.92 => ( p @ ( ap @ V0P @ ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Ering_2Erecordtype_2Ering @ A_27a ) @ V1a ) @ V2a0 ) @ V3f ) @ V4f0 ) @ V5f1 ) ) ) ) ) ) ) )
% 5.66/5.92 => ! [V6r: $i] :
% 5.66/5.92 ( ( mem @ V6r @ ( ty_2Ering_2Ering @ A_27a ) )
% 5.66/5.92 => ( p @ ( ap @ V0P @ V6r ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ering_2Ering__case__cong,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del,V0f_27: $i] :
% 5.66/5.92 ( ( mem @ V0f_27 @ ( arr @ A_27a @ ( arr @ A_27a @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ ( arr @ A_27a @ A_27a ) @ A_27b ) ) ) ) ) )
% 5.66/5.92 => ! [V1M: $i] :
% 5.66/5.92 ( ( mem @ V1M @ ( ty_2Ering_2Ering @ A_27a ) )
% 5.66/5.92 => ! [V2M_27: $i] :
% 5.66/5.92 ( ( mem @ V2M_27 @ ( ty_2Ering_2Ering @ A_27a ) )
% 5.66/5.92 => ! [V3f: $i] :
% 5.66/5.92 ( ( mem @ V3f @ ( arr @ A_27a @ ( arr @ A_27a @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ ( arr @ A_27a @ A_27a ) @ A_27b ) ) ) ) ) )
% 5.66/5.92 => ( ( ( V1M = V2M_27 )
% 5.66/5.92 & ! [V4a0: $i] :
% 5.66/5.92 ( ( mem @ V4a0 @ A_27a )
% 5.66/5.92 => ! [V5a1: $i] :
% 5.66/5.92 ( ( mem @ V5a1 @ A_27a )
% 5.66/5.92 => ! [V6a2: $i] :
% 5.66/5.92 ( ( mem @ V6a2 @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 => ! [V7a3: $i] :
% 5.66/5.92 ( ( mem @ V7a3 @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 => ! [V8a4: $i] :
% 5.66/5.92 ( ( mem @ V8a4 @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.92 => ( ( V2M_27
% 5.66/5.92 = ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Ering_2Erecordtype_2Ering @ A_27a ) @ V4a0 ) @ V5a1 ) @ V6a2 ) @ V7a3 ) @ V8a4 ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ V3f @ V4a0 ) @ V5a1 ) @ V6a2 ) @ V7a3 ) @ V8a4 )
% 5.66/5.92 = ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ V0f_27 @ V4a0 ) @ V5a1 ) @ V6a2 ) @ V7a3 ) @ V8a4 ) ) ) ) ) ) ) ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( c_2Ering_2Ering__CASE @ A_27a @ A_27b ) @ V1M ) @ V3f )
% 5.66/5.92 = ( ap @ ( ap @ ( c_2Ering_2Ering__CASE @ A_27a @ A_27b ) @ V2M_27 ) @ V0f_27 ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ering_2Ering__case__eq,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del,V0x: $i] :
% 5.66/5.92 ( ( mem @ V0x @ ( ty_2Ering_2Ering @ A_27a ) )
% 5.66/5.92 => ! [V1f: $i] :
% 5.66/5.92 ( ( mem @ V1f @ ( arr @ A_27a @ ( arr @ A_27a @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ ( arr @ A_27a @ A_27a ) @ A_27b ) ) ) ) ) )
% 5.66/5.92 => ! [V2v: $i] :
% 5.66/5.92 ( ( mem @ V2v @ A_27b )
% 5.66/5.92 => ( ( ( ap @ ( ap @ ( c_2Ering_2Ering__CASE @ A_27a @ A_27b ) @ V0x ) @ V1f )
% 5.66/5.92 = V2v )
% 5.66/5.92 <=> ? [V3a: $i] :
% 5.66/5.92 ( ( mem @ V3a @ A_27a )
% 5.66/5.92 & ? [V4a0: $i] :
% 5.66/5.92 ( ( mem @ V4a0 @ A_27a )
% 5.66/5.92 & ? [V5f_27: $i] :
% 5.66/5.92 ( ( mem @ V5f_27 @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 & ? [V6f0: $i] :
% 5.66/5.92 ( ( mem @ V6f0 @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.92 & ? [V7f1: $i] :
% 5.66/5.92 ( ( mem @ V7f1 @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.92 & ( V0x
% 5.66/5.92 = ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Ering_2Erecordtype_2Ering @ A_27a ) @ V3a ) @ V4a0 ) @ V5f_27 ) @ V6f0 ) @ V7f1 ) )
% 5.66/5.92 & ( ( ap @ ( ap @ ( ap @ ( ap @ ( ap @ V1f @ V3a ) @ V4a0 ) @ V5f_27 ) @ V6f0 ) @ V7f1 )
% 5.66/5.92 = V2v ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(ax_thm_2Ering_2Eis__ring__def,axiom,
% 5.66/5.92 ! [A_27a: del,V0r: $i] :
% 5.66/5.92 ( ( mem @ V0r @ ( ty_2Ering_2Ering @ A_27a ) )
% 5.66/5.92 => ( ( p @ ( ap @ ( c_2Ering_2Eis__ring @ A_27a ) @ V0r ) )
% 5.66/5.92 <=> ( ! [V1n: $i] :
% 5.66/5.92 ( ( mem @ V1n @ A_27a )
% 5.66/5.92 => ! [V2m: $i] :
% 5.66/5.92 ( ( mem @ V2m @ A_27a )
% 5.66/5.92 => ( ( ap @ ( ap @ ( ap @ ( c_2Ering_2Ering__RP @ A_27a ) @ V0r ) @ V1n ) @ V2m )
% 5.66/5.92 = ( ap @ ( ap @ ( ap @ ( c_2Ering_2Ering__RP @ A_27a ) @ V0r ) @ V2m ) @ V1n ) ) ) )
% 5.66/5.92 & ! [V3n: $i] :
% 5.66/5.92 ( ( mem @ V3n @ A_27a )
% 5.66/5.92 => ! [V4m: $i] :
% 5.66/5.92 ( ( mem @ V4m @ A_27a )
% 5.66/5.92 => ! [V5p: $i] :
% 5.66/5.92 ( ( mem @ V5p @ A_27a )
% 5.66/5.92 => ( ( ap @ ( ap @ ( ap @ ( c_2Ering_2Ering__RP @ A_27a ) @ V0r ) @ V3n ) @ ( ap @ ( ap @ ( ap @ ( c_2Ering_2Ering__RP @ A_27a ) @ V0r ) @ V4m ) @ V5p ) )
% 5.66/5.92 = ( ap @ ( ap @ ( ap @ ( c_2Ering_2Ering__RP @ A_27a ) @ V0r ) @ ( ap @ ( ap @ ( ap @ ( c_2Ering_2Ering__RP @ A_27a ) @ V0r ) @ V3n ) @ V4m ) ) @ V5p ) ) ) ) )
% 5.66/5.92 & ! [V6n: $i] :
% 5.66/5.92 ( ( mem @ V6n @ A_27a )
% 5.66/5.92 => ! [V7m: $i] :
% 5.66/5.92 ( ( mem @ V7m @ A_27a )
% 5.66/5.92 => ( ( ap @ ( ap @ ( ap @ ( c_2Ering_2Ering__RM @ A_27a ) @ V0r ) @ V6n ) @ V7m )
% 5.66/5.92 = ( ap @ ( ap @ ( ap @ ( c_2Ering_2Ering__RM @ A_27a ) @ V0r ) @ V7m ) @ V6n ) ) ) )
% 5.66/5.92 & ! [V8n: $i] :
% 5.66/5.92 ( ( mem @ V8n @ A_27a )
% 5.66/5.92 => ! [V9m: $i] :
% 5.66/5.92 ( ( mem @ V9m @ A_27a )
% 5.66/5.92 => ! [V10p: $i] :
% 5.66/5.92 ( ( mem @ V10p @ A_27a )
% 5.66/5.92 => ( ( ap @ ( ap @ ( ap @ ( c_2Ering_2Ering__RM @ A_27a ) @ V0r ) @ V8n ) @ ( ap @ ( ap @ ( ap @ ( c_2Ering_2Ering__RM @ A_27a ) @ V0r ) @ V9m ) @ V10p ) )
% 5.66/5.92 = ( ap @ ( ap @ ( ap @ ( c_2Ering_2Ering__RM @ A_27a ) @ V0r ) @ ( ap @ ( ap @ ( ap @ ( c_2Ering_2Ering__RM @ A_27a ) @ V0r ) @ V8n ) @ V9m ) ) @ V10p ) ) ) ) )
% 5.66/5.92 & ! [V11n: $i] :
% 5.66/5.92 ( ( mem @ V11n @ A_27a )
% 5.66/5.92 => ( ( ap @ ( ap @ ( ap @ ( c_2Ering_2Ering__RP @ A_27a ) @ V0r ) @ ( ap @ ( c_2Ering_2Ering__R0 @ A_27a ) @ V0r ) ) @ V11n )
% 5.66/5.92 = V11n ) )
% 5.66/5.92 & ! [V12n: $i] :
% 5.66/5.92 ( ( mem @ V12n @ A_27a )
% 5.66/5.92 => ( ( ap @ ( ap @ ( ap @ ( c_2Ering_2Ering__RM @ A_27a ) @ V0r ) @ ( ap @ ( c_2Ering_2Ering__R1 @ A_27a ) @ V0r ) ) @ V12n )
% 5.66/5.92 = V12n ) )
% 5.66/5.92 & ! [V13n: $i] :
% 5.66/5.92 ( ( mem @ V13n @ A_27a )
% 5.66/5.92 => ( ( ap @ ( ap @ ( ap @ ( c_2Ering_2Ering__RP @ A_27a ) @ V0r ) @ V13n ) @ ( ap @ ( ap @ ( c_2Ering_2Ering__RN @ A_27a ) @ V0r ) @ V13n ) )
% 5.66/5.92 = ( ap @ ( c_2Ering_2Ering__R0 @ A_27a ) @ V0r ) ) )
% 5.66/5.92 & ! [V14n: $i] :
% 5.66/5.92 ( ( mem @ V14n @ A_27a )
% 5.66/5.92 => ! [V15m: $i] :
% 5.66/5.92 ( ( mem @ V15m @ A_27a )
% 5.66/5.92 => ! [V16p: $i] :
% 5.66/5.92 ( ( mem @ V16p @ A_27a )
% 5.66/5.92 => ( ( ap @ ( ap @ ( ap @ ( c_2Ering_2Ering__RM @ A_27a ) @ V0r ) @ ( ap @ ( ap @ ( ap @ ( c_2Ering_2Ering__RP @ A_27a ) @ V0r ) @ V14n ) @ V15m ) ) @ V16p )
% 5.66/5.92 = ( ap @ ( ap @ ( ap @ ( c_2Ering_2Ering__RP @ A_27a ) @ V0r ) @ ( ap @ ( ap @ ( ap @ ( c_2Ering_2Ering__RM @ A_27a ) @ V0r ) @ V14n ) @ V16p ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ering_2Ering__RM @ A_27a ) @ V0r ) @ V15m ) @ V16p ) ) ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ering_2Eplus__sym,axiom,
% 5.66/5.92 ! [A_27a: del,V0r: $i] :
% 5.66/5.92 ( ( mem @ V0r @ ( ty_2Ering_2Ering @ A_27a ) )
% 5.66/5.92 => ( ( p @ ( ap @ ( c_2Ering_2Eis__ring @ A_27a ) @ V0r ) )
% 5.66/5.92 => ! [V1n: $i] :
% 5.66/5.92 ( ( mem @ V1n @ A_27a )
% 5.66/5.92 => ! [V2m: $i] :
% 5.66/5.92 ( ( mem @ V2m @ A_27a )
% 5.66/5.92 => ( ( ap @ ( ap @ ( ap @ ( c_2Ering_2Ering__RP @ A_27a ) @ V0r ) @ V1n ) @ V2m )
% 5.66/5.92 = ( ap @ ( ap @ ( ap @ ( c_2Ering_2Ering__RP @ A_27a ) @ V0r ) @ V2m ) @ V1n ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ering_2Eplus__assoc,axiom,
% 5.66/5.92 ! [A_27a: del,V0r: $i] :
% 5.66/5.92 ( ( mem @ V0r @ ( ty_2Ering_2Ering @ A_27a ) )
% 5.66/5.92 => ( ( p @ ( ap @ ( c_2Ering_2Eis__ring @ A_27a ) @ V0r ) )
% 5.66/5.92 => ! [V1n: $i] :
% 5.66/5.92 ( ( mem @ V1n @ A_27a )
% 5.66/5.92 => ! [V2m: $i] :
% 5.66/5.92 ( ( mem @ V2m @ A_27a )
% 5.66/5.92 => ! [V3p: $i] :
% 5.66/5.92 ( ( mem @ V3p @ A_27a )
% 5.66/5.92 => ( ( ap @ ( ap @ ( ap @ ( c_2Ering_2Ering__RP @ A_27a ) @ V0r ) @ V1n ) @ ( ap @ ( ap @ ( ap @ ( c_2Ering_2Ering__RP @ A_27a ) @ V0r ) @ V2m ) @ V3p ) )
% 5.66/5.92 = ( ap @ ( ap @ ( ap @ ( c_2Ering_2Ering__RP @ A_27a ) @ V0r ) @ ( ap @ ( ap @ ( ap @ ( c_2Ering_2Ering__RP @ A_27a ) @ V0r ) @ V1n ) @ V2m ) ) @ V3p ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ering_2Emult__sym,axiom,
% 5.66/5.92 ! [A_27a: del,V0r: $i] :
% 5.66/5.92 ( ( mem @ V0r @ ( ty_2Ering_2Ering @ A_27a ) )
% 5.66/5.92 => ( ( p @ ( ap @ ( c_2Ering_2Eis__ring @ A_27a ) @ V0r ) )
% 5.66/5.92 => ! [V1n: $i] :
% 5.66/5.92 ( ( mem @ V1n @ A_27a )
% 5.66/5.92 => ! [V2m: $i] :
% 5.66/5.92 ( ( mem @ V2m @ A_27a )
% 5.66/5.92 => ( ( ap @ ( ap @ ( ap @ ( c_2Ering_2Ering__RM @ A_27a ) @ V0r ) @ V1n ) @ V2m )
% 5.66/5.92 = ( ap @ ( ap @ ( ap @ ( c_2Ering_2Ering__RM @ A_27a ) @ V0r ) @ V2m ) @ V1n ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ering_2Emult__assoc,axiom,
% 5.66/5.92 ! [A_27a: del,V0r: $i] :
% 5.66/5.92 ( ( mem @ V0r @ ( ty_2Ering_2Ering @ A_27a ) )
% 5.66/5.92 => ( ( p @ ( ap @ ( c_2Ering_2Eis__ring @ A_27a ) @ V0r ) )
% 5.66/5.92 => ! [V1n: $i] :
% 5.66/5.92 ( ( mem @ V1n @ A_27a )
% 5.66/5.92 => ! [V2m: $i] :
% 5.66/5.92 ( ( mem @ V2m @ A_27a )
% 5.66/5.92 => ! [V3p: $i] :
% 5.66/5.92 ( ( mem @ V3p @ A_27a )
% 5.66/5.92 => ( ( ap @ ( ap @ ( ap @ ( c_2Ering_2Ering__RM @ A_27a ) @ V0r ) @ V1n ) @ ( ap @ ( ap @ ( ap @ ( c_2Ering_2Ering__RM @ A_27a ) @ V0r ) @ V2m ) @ V3p ) )
% 5.66/5.92 = ( ap @ ( ap @ ( ap @ ( c_2Ering_2Ering__RM @ A_27a ) @ V0r ) @ ( ap @ ( ap @ ( ap @ ( c_2Ering_2Ering__RM @ A_27a ) @ V0r ) @ V1n ) @ V2m ) ) @ V3p ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ering_2Eplus__zero__left,axiom,
% 5.66/5.92 ! [A_27a: del,V0r: $i] :
% 5.66/5.92 ( ( mem @ V0r @ ( ty_2Ering_2Ering @ A_27a ) )
% 5.66/5.92 => ( ( p @ ( ap @ ( c_2Ering_2Eis__ring @ A_27a ) @ V0r ) )
% 5.66/5.92 => ! [V1n: $i] :
% 5.66/5.92 ( ( mem @ V1n @ A_27a )
% 5.66/5.92 => ( ( ap @ ( ap @ ( ap @ ( c_2Ering_2Ering__RP @ A_27a ) @ V0r ) @ ( ap @ ( c_2Ering_2Ering__R0 @ A_27a ) @ V0r ) ) @ V1n )
% 5.66/5.92 = V1n ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ering_2Emult__one__left,axiom,
% 5.66/5.92 ! [A_27a: del,V0r: $i] :
% 5.66/5.92 ( ( mem @ V0r @ ( ty_2Ering_2Ering @ A_27a ) )
% 5.66/5.92 => ( ( p @ ( ap @ ( c_2Ering_2Eis__ring @ A_27a ) @ V0r ) )
% 5.66/5.92 => ! [V1n: $i] :
% 5.66/5.92 ( ( mem @ V1n @ A_27a )
% 5.66/5.92 => ( ( ap @ ( ap @ ( ap @ ( c_2Ering_2Ering__RM @ A_27a ) @ V0r ) @ ( ap @ ( c_2Ering_2Ering__R1 @ A_27a ) @ V0r ) ) @ V1n )
% 5.66/5.92 = V1n ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ering_2Eopp__def,axiom,
% 5.66/5.92 ! [A_27a: del,V0r: $i] :
% 5.66/5.92 ( ( mem @ V0r @ ( ty_2Ering_2Ering @ A_27a ) )
% 5.66/5.92 => ( ( p @ ( ap @ ( c_2Ering_2Eis__ring @ A_27a ) @ V0r ) )
% 5.66/5.92 => ! [V1n: $i] :
% 5.66/5.92 ( ( mem @ V1n @ A_27a )
% 5.66/5.92 => ( ( ap @ ( ap @ ( ap @ ( c_2Ering_2Ering__RP @ A_27a ) @ V0r ) @ V1n ) @ ( ap @ ( ap @ ( c_2Ering_2Ering__RN @ A_27a ) @ V0r ) @ V1n ) )
% 5.66/5.92 = ( ap @ ( c_2Ering_2Ering__R0 @ A_27a ) @ V0r ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ering_2Edistr__left,axiom,
% 5.66/5.92 ! [A_27a: del,V0r: $i] :
% 5.66/5.92 ( ( mem @ V0r @ ( ty_2Ering_2Ering @ A_27a ) )
% 5.66/5.92 => ( ( p @ ( ap @ ( c_2Ering_2Eis__ring @ A_27a ) @ V0r ) )
% 5.66/5.92 => ! [V1n: $i] :
% 5.66/5.92 ( ( mem @ V1n @ A_27a )
% 5.66/5.92 => ! [V2m: $i] :
% 5.66/5.92 ( ( mem @ V2m @ A_27a )
% 5.66/5.92 => ! [V3p: $i] :
% 5.66/5.92 ( ( mem @ V3p @ A_27a )
% 5.66/5.92 => ( ( ap @ ( ap @ ( ap @ ( c_2Ering_2Ering__RM @ A_27a ) @ V0r ) @ ( ap @ ( ap @ ( ap @ ( c_2Ering_2Ering__RP @ A_27a ) @ V0r ) @ V1n ) @ V2m ) ) @ V3p )
% 5.66/5.92 = ( ap @ ( ap @ ( ap @ ( c_2Ering_2Ering__RP @ A_27a ) @ V0r ) @ ( ap @ ( ap @ ( ap @ ( c_2Ering_2Ering__RM @ A_27a ) @ V0r ) @ V1n ) @ V3p ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ering_2Ering__RM @ A_27a ) @ V0r ) @ V2m ) @ V3p ) ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ering_2Eplus__zero__right,axiom,
% 5.66/5.92 ! [A_27a: del,V0r: $i] :
% 5.66/5.92 ( ( mem @ V0r @ ( ty_2Ering_2Ering @ A_27a ) )
% 5.66/5.92 => ( ( p @ ( ap @ ( c_2Ering_2Eis__ring @ A_27a ) @ V0r ) )
% 5.66/5.92 => ! [V1n: $i] :
% 5.66/5.92 ( ( mem @ V1n @ A_27a )
% 5.66/5.92 => ( ( ap @ ( ap @ ( ap @ ( c_2Ering_2Ering__RP @ A_27a ) @ V0r ) @ V1n ) @ ( ap @ ( c_2Ering_2Ering__R0 @ A_27a ) @ V0r ) )
% 5.66/5.92 = V1n ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ering_2Emult__zero__left,axiom,
% 5.66/5.92 ! [A_27a: del,V0r: $i] :
% 5.66/5.92 ( ( mem @ V0r @ ( ty_2Ering_2Ering @ A_27a ) )
% 5.66/5.92 => ( ( p @ ( ap @ ( c_2Ering_2Eis__ring @ A_27a ) @ V0r ) )
% 5.66/5.92 => ! [V1n: $i] :
% 5.66/5.92 ( ( mem @ V1n @ A_27a )
% 5.66/5.92 => ( ( ap @ ( ap @ ( ap @ ( c_2Ering_2Ering__RM @ A_27a ) @ V0r ) @ ( ap @ ( c_2Ering_2Ering__R0 @ A_27a ) @ V0r ) ) @ V1n )
% 5.66/5.92 = ( ap @ ( c_2Ering_2Ering__R0 @ A_27a ) @ V0r ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ering_2Emult__zero__right,axiom,
% 5.66/5.92 ! [A_27a: del,V0r: $i] :
% 5.66/5.92 ( ( mem @ V0r @ ( ty_2Ering_2Ering @ A_27a ) )
% 5.66/5.92 => ( ( p @ ( ap @ ( c_2Ering_2Eis__ring @ A_27a ) @ V0r ) )
% 5.66/5.92 => ! [V1n: $i] :
% 5.66/5.92 ( ( mem @ V1n @ A_27a )
% 5.66/5.92 => ( ( ap @ ( ap @ ( ap @ ( c_2Ering_2Ering__RM @ A_27a ) @ V0r ) @ V1n ) @ ( ap @ ( c_2Ering_2Ering__R0 @ A_27a ) @ V0r ) )
% 5.66/5.92 = ( ap @ ( c_2Ering_2Ering__R0 @ A_27a ) @ V0r ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(ax_thm_2Ering_2Esemi__ring__of__def,axiom,
% 5.66/5.92 ! [A_27a: del,V0r: $i] :
% 5.66/5.92 ( ( mem @ V0r @ ( ty_2Ering_2Ering @ A_27a ) )
% 5.66/5.92 => ( ( ap @ ( c_2Ering_2Esemi__ring__of @ A_27a ) @ V0r )
% 5.66/5.92 = ( ap @ ( ap @ ( ap @ ( ap @ ( c_2Esemi__ring_2Erecordtype_2Esemi__ring @ A_27a ) @ ( ap @ ( c_2Ering_2Ering__R0 @ A_27a ) @ V0r ) ) @ ( ap @ ( c_2Ering_2Ering__R1 @ A_27a ) @ V0r ) ) @ ( ap @ ( c_2Ering_2Ering__RP @ A_27a ) @ V0r ) ) @ ( ap @ ( c_2Ering_2Ering__RM @ A_27a ) @ V0r ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ering_2Ering__is__semi__ring,axiom,
% 5.66/5.92 ! [A_27a: del,V0r: $i] :
% 5.66/5.92 ( ( mem @ V0r @ ( ty_2Ering_2Ering @ A_27a ) )
% 5.66/5.92 => ( ( p @ ( ap @ ( c_2Ering_2Eis__ring @ A_27a ) @ V0r ) )
% 5.66/5.92 => ( p @ ( ap @ ( c_2Esemi__ring_2Eis__semi__ring @ A_27a ) @ ( ap @ ( c_2Ering_2Esemi__ring__of @ A_27a ) @ V0r ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ering_2Emult__one__right,axiom,
% 5.66/5.92 ! [A_27a: del,V0r: $i] :
% 5.66/5.92 ( ( mem @ V0r @ ( ty_2Ering_2Ering @ A_27a ) )
% 5.66/5.92 => ( ( p @ ( ap @ ( c_2Ering_2Eis__ring @ A_27a ) @ V0r ) )
% 5.66/5.92 => ! [V1n: $i] :
% 5.66/5.92 ( ( mem @ V1n @ A_27a )
% 5.66/5.92 => ( ( ap @ ( ap @ ( ap @ ( c_2Ering_2Ering__RM @ A_27a ) @ V0r ) @ V1n ) @ ( ap @ ( c_2Ering_2Ering__R1 @ A_27a ) @ V0r ) )
% 5.66/5.92 = V1n ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ering_2Eneg__mult,axiom,
% 5.66/5.92 ! [A_27a: del,V0r: $i] :
% 5.66/5.92 ( ( mem @ V0r @ ( ty_2Ering_2Ering @ A_27a ) )
% 5.66/5.92 => ( ( p @ ( ap @ ( c_2Ering_2Eis__ring @ A_27a ) @ V0r ) )
% 5.66/5.92 => ! [V1a: $i] :
% 5.66/5.92 ( ( mem @ V1a @ A_27a )
% 5.66/5.92 => ! [V2b: $i] :
% 5.66/5.92 ( ( mem @ V2b @ A_27a )
% 5.66/5.92 => ( ( ap @ ( ap @ ( ap @ ( c_2Ering_2Ering__RM @ A_27a ) @ V0r ) @ ( ap @ ( ap @ ( c_2Ering_2Ering__RN @ A_27a ) @ V0r ) @ V1a ) ) @ V2b )
% 5.66/5.92 = ( ap @ ( ap @ ( c_2Ering_2Ering__RN @ A_27a ) @ V0r ) @ ( ap @ ( ap @ ( ap @ ( c_2Ering_2Ering__RM @ A_27a ) @ V0r ) @ V1a ) @ V2b ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 %------------------------------------------------------------------------------
% 5.66/5.92 %------------------------------------------------------------------------------
% 5.66/5.92 thf(tp_c_2Ecardinal_2E_2B__c,type,
% 5.66/5.92 c_2Ecardinal_2E_2B__c: del > del > $i ).
% 5.66/5.92
% 5.66/5.92 thf(mem_c_2Ecardinal_2E_2B__c,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Ecardinal_2E_2B__c @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( arr @ A_27b @ bool ) @ ( arr @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) @ bool ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(tp_c_2Ecardinal_2EHAS__SIZE,type,
% 5.66/5.92 c_2Ecardinal_2EHAS__SIZE: del > $i ).
% 5.66/5.92
% 5.66/5.92 thf(mem_c_2Ecardinal_2EHAS__SIZE,axiom,
% 5.66/5.92 ! [A_27a: del] : ( mem @ ( c_2Ecardinal_2EHAS__SIZE @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ty_2Enum_2Enum @ bool ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(tp_c_2Ecardinal_2Ebijns,type,
% 5.66/5.92 c_2Ecardinal_2Ebijns: del > $i ).
% 5.66/5.92
% 5.66/5.92 thf(mem_c_2Ecardinal_2Ebijns,axiom,
% 5.66/5.92 ! [A_27a: del] : ( mem @ ( c_2Ecardinal_2Ebijns @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ bool ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(tp_c_2Ecardinal_2Ecardeq,type,
% 5.66/5.92 c_2Ecardinal_2Ecardeq: del > del > $i ).
% 5.66/5.92
% 5.66/5.92 thf(mem_c_2Ecardinal_2Ecardeq,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Ecardinal_2Ecardeq @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( arr @ A_27b @ bool ) @ bool ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(tp_c_2Ecardinal_2Ecardgeq,type,
% 5.66/5.92 c_2Ecardinal_2Ecardgeq: del > del > $i ).
% 5.66/5.92
% 5.66/5.92 thf(mem_c_2Ecardinal_2Ecardgeq,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Ecardinal_2Ecardgeq @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( arr @ A_27b @ bool ) @ bool ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(tp_c_2Ecardinal_2Ecardgt,type,
% 5.66/5.92 c_2Ecardinal_2Ecardgt: del > del > $i ).
% 5.66/5.92
% 5.66/5.92 thf(mem_c_2Ecardinal_2Ecardgt,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Ecardinal_2Ecardgt @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( arr @ A_27b @ bool ) @ bool ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(tp_c_2Ecardinal_2Ecardleq,type,
% 5.66/5.92 c_2Ecardinal_2Ecardleq: del > del > $i ).
% 5.66/5.92
% 5.66/5.92 thf(mem_c_2Ecardinal_2Ecardleq,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Ecardinal_2Ecardleq @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( arr @ A_27b @ bool ) @ bool ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(tp_c_2Ecardinal_2Elist,type,
% 5.66/5.92 c_2Ecardinal_2Elist: del > $i ).
% 5.66/5.92
% 5.66/5.92 thf(mem_c_2Ecardinal_2Elist,axiom,
% 5.66/5.92 ! [A_27a: del] : ( mem @ ( c_2Ecardinal_2Elist @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( ty_2Elist_2Elist @ A_27a ) @ bool ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(tp_c_2Ecardinal_2Eset__exp,type,
% 5.66/5.92 c_2Ecardinal_2Eset__exp: del > del > $i ).
% 5.66/5.92
% 5.66/5.92 thf(mem_c_2Ecardinal_2Eset__exp,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Ecardinal_2Eset__exp @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27b @ bool ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( arr @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) @ bool ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(ax_thm_2Ecardinal_2Ecardeq__def,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del,V0s1: $i] :
% 5.66/5.92 ( ( mem @ V0s1 @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ! [V1s2: $i] :
% 5.66/5.92 ( ( mem @ V1s2 @ ( arr @ A_27b @ bool ) )
% 5.66/5.92 => ( ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ A_27a @ A_27b ) @ V0s1 ) @ V1s2 ) )
% 5.66/5.92 <=> ? [V2f: $i] :
% 5.66/5.92 ( ( mem @ V2f @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.92 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EBIJ @ A_27a @ A_27b ) @ V2f ) @ V0s1 ) @ V1s2 ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2Ecardeq__REFL,axiom,
% 5.66/5.92 ! [A_27a: del,V0s: $i] :
% 5.66/5.92 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ A_27a @ A_27a ) @ V0s ) @ V0s ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2Ecardeq__SYM,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.66/5.92 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ! [V1t: $i] :
% 5.66/5.92 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.66/5.92 => ( ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ A_27a @ A_27b ) @ V0s ) @ V1t ) )
% 5.66/5.92 <=> ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ A_27b @ A_27a ) @ V1t ) @ V0s ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2Ecardeq__TRANS,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del,A_27c: del,V0s: $i] :
% 5.66/5.92 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ! [V1t: $i] :
% 5.66/5.92 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.66/5.92 => ! [V2u: $i] :
% 5.66/5.92 ( ( mem @ V2u @ ( arr @ A_27c @ bool ) )
% 5.66/5.92 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ A_27a @ A_27b ) @ V0s ) @ V1t ) )
% 5.66/5.92 & ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ A_27b @ A_27c ) @ V1t ) @ V2u ) ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ A_27a @ A_27c ) @ V0s ) @ V2u ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(ax_thm_2Ecardinal_2Ecardleq__def,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del,V0s1: $i] :
% 5.66/5.92 ( ( mem @ V0s1 @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ! [V1s2: $i] :
% 5.66/5.92 ( ( mem @ V1s2 @ ( arr @ A_27b @ bool ) )
% 5.66/5.92 => ( ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27a @ A_27b ) @ V0s1 ) @ V1s2 ) )
% 5.66/5.92 <=> ? [V2f: $i] :
% 5.66/5.92 ( ( mem @ V2f @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.92 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EINJ @ A_27a @ A_27b ) @ V2f ) @ V0s1 ) @ V1s2 ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2Ecardleq__REFL,axiom,
% 5.66/5.92 ! [A_27a: del,V0s: $i] :
% 5.66/5.92 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27a @ A_27a ) @ V0s ) @ V0s ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2Ecardleq__TRANS,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del,A_27c: del,V0s: $i] :
% 5.66/5.92 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ! [V1t: $i] :
% 5.66/5.92 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.66/5.92 => ! [V2u: $i] :
% 5.66/5.92 ( ( mem @ V2u @ ( arr @ A_27c @ bool ) )
% 5.66/5.92 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27a @ A_27b ) @ V0s ) @ V1t ) )
% 5.66/5.92 & ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27b @ A_27c ) @ V1t ) @ V2u ) ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27a @ A_27c ) @ V0s ) @ V2u ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2Ecardleq__ANTISYM,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.66/5.92 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ! [V1t: $i] :
% 5.66/5.92 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.66/5.92 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27a @ A_27b ) @ V0s ) @ V1t ) )
% 5.66/5.92 & ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27b @ A_27a ) @ V1t ) @ V0s ) ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ A_27a @ A_27b ) @ V0s ) @ V1t ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2ECARDEQ__FINITE,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del,V0s1: $i] :
% 5.66/5.92 ( ( mem @ V0s1 @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ! [V1s2: $i] :
% 5.66/5.92 ( ( mem @ V1s2 @ ( arr @ A_27b @ bool ) )
% 5.66/5.92 => ( ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ A_27a @ A_27b ) @ V0s1 ) @ V1s2 ) )
% 5.66/5.92 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s1 ) )
% 5.66/5.92 <=> ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27b ) @ V1s2 ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2ECARDEQ__CARD,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del,V0s1: $i] :
% 5.66/5.92 ( ( mem @ V0s1 @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ! [V1s2: $i] :
% 5.66/5.92 ( ( mem @ V1s2 @ ( arr @ A_27b @ bool ) )
% 5.66/5.92 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ A_27a @ A_27b ) @ V0s1 ) @ V1s2 ) )
% 5.66/5.92 & ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s1 ) ) )
% 5.66/5.92 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ V0s1 ) )
% 5.66/5.92 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Epred__set_2ECARD @ A_27b ) @ V1s2 ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2ECARDEQ__0,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del,A_27c: del,V0x: $i] :
% 5.66/5.92 ( ( mem @ V0x @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ A_27a @ A_27b ) @ V0x ) @ ( c_2Epred__set_2EEMPTY @ A_27b ) ) )
% 5.66/5.92 <=> ( V0x
% 5.66/5.92 = ( c_2Epred__set_2EEMPTY @ A_27a ) ) )
% 5.66/5.92 & ( ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ A_27c @ A_27a ) @ ( c_2Epred__set_2EEMPTY @ A_27c ) ) @ V0x ) )
% 5.66/5.92 <=> ( V0x
% 5.66/5.92 = ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2Ecardeq__INSERT,axiom,
% 5.66/5.92 ! [A_27a: del,V0x: $i] :
% 5.66/5.92 ( ( mem @ V0x @ A_27a )
% 5.66/5.92 => ! [V1s: $i] :
% 5.66/5.92 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ( ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ A_27a @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V0x ) @ V1s ) ) @ V1s ) )
% 5.66/5.92 <=> ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0x ) @ V1s ) )
% 5.66/5.92 | ~ ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V1s ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2ECARDEQ__INSERT__RWT,axiom,
% 5.66/5.92 ! [A_27a: del,V0x: $i] :
% 5.66/5.92 ( ( mem @ V0x @ A_27a )
% 5.66/5.92 => ! [V1s: $i] :
% 5.66/5.92 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ( ~ ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V1s ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ A_27a @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V0x ) @ V1s ) ) @ V1s ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2EEMPTY__CARDLEQ,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del,V0t: $i] :
% 5.66/5.92 ( ( mem @ V0t @ ( arr @ A_27b @ bool ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27a @ A_27b ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) @ V0t ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2EFINITE__CLE__INFINITE,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.66/5.92 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ! [V1t: $i] :
% 5.66/5.92 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.66/5.92 => ( ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.66/5.92 & ~ ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27b ) @ V1t ) ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27a @ A_27b ) @ V0s ) @ V1t ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2ECARDEQ__CROSS,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0s1: $i] :
% 5.66/5.92 ( ( mem @ V0s1 @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ! [V1s2: $i] :
% 5.66/5.92 ( ( mem @ V1s2 @ ( arr @ A_27b @ bool ) )
% 5.66/5.92 => ! [V2t1: $i] :
% 5.66/5.92 ( ( mem @ V2t1 @ ( arr @ A_27c @ bool ) )
% 5.66/5.92 => ! [V3t2: $i] :
% 5.66/5.92 ( ( mem @ V3t2 @ ( arr @ A_27d @ bool ) )
% 5.66/5.92 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ A_27a @ A_27b ) @ V0s1 ) @ V1s2 ) )
% 5.66/5.92 & ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ A_27c @ A_27d ) @ V2t1 ) @ V3t2 ) ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ ( ty_2Epair_2Eprod @ A_27a @ A_27c ) @ ( ty_2Epair_2Eprod @ A_27b @ A_27d ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2ECROSS @ A_27a @ A_27c ) @ V0s1 ) @ V2t1 ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2ECROSS @ A_27b @ A_27d ) @ V1s2 ) @ V3t2 ) ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2ECARDEQ__CROSS__SYM,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.66/5.92 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ! [V1t: $i] :
% 5.66/5.92 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2ECROSS @ A_27a @ A_27b ) @ V0s ) @ V1t ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2ECROSS @ A_27b @ A_27a ) @ V1t ) @ V0s ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2ECARDEQ__SUBSET__CARDLEQ,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.66/5.92 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ! [V1t: $i] :
% 5.66/5.92 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.66/5.92 => ( ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ A_27a @ A_27b ) @ V0s ) @ V1t ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27a @ A_27b ) @ V0s ) @ V1t ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2ECARDEQ__CARDLEQ,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0s1: $i] :
% 5.66/5.92 ( ( mem @ V0s1 @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ! [V1s2: $i] :
% 5.66/5.92 ( ( mem @ V1s2 @ ( arr @ A_27b @ bool ) )
% 5.66/5.92 => ! [V2t1: $i] :
% 5.66/5.92 ( ( mem @ V2t1 @ ( arr @ A_27c @ bool ) )
% 5.66/5.92 => ! [V3t2: $i] :
% 5.66/5.92 ( ( mem @ V3t2 @ ( arr @ A_27d @ bool ) )
% 5.66/5.92 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ A_27a @ A_27b ) @ V0s1 ) @ V1s2 ) )
% 5.66/5.92 & ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ A_27c @ A_27d ) @ V2t1 ) @ V3t2 ) ) )
% 5.66/5.92 => ( ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27a @ A_27c ) @ V0s1 ) @ V2t1 ) )
% 5.66/5.92 <=> ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27b @ A_27d ) @ V1s2 ) @ V3t2 ) ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2ECARDLEQ__FINITE,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del,V0s1: $i] :
% 5.66/5.92 ( ( mem @ V0s1 @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ! [V1s2: $i] :
% 5.66/5.92 ( ( mem @ V1s2 @ ( arr @ A_27b @ bool ) )
% 5.66/5.92 => ( ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27b ) @ V1s2 ) )
% 5.66/5.92 & ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27a @ A_27b ) @ V0s1 ) @ V1s2 ) ) )
% 5.66/5.92 => ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s1 ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2EINFINITE__UNIV__INF,axiom,
% 5.66/5.92 ! [A_27a: del] :
% 5.66/5.92 ~ ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ A_27a ) ) @ ( c_2Epred__set_2EUNIV @ ( ty_2Esum_2Esum @ ty_2Enum_2Enum @ A_27a ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2EIMAGE__cardleq,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.92 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.92 => ! [V1s: $i] :
% 5.66/5.92 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27b @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ A_27b ) @ V0f ) @ V1s ) ) @ V1s ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2ECARDLEQ__CROSS__CONG,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0x1: $i] :
% 5.66/5.92 ( ( mem @ V0x1 @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ! [V1x2: $i] :
% 5.66/5.92 ( ( mem @ V1x2 @ ( arr @ A_27b @ bool ) )
% 5.66/5.92 => ! [V2y1: $i] :
% 5.66/5.92 ( ( mem @ V2y1 @ ( arr @ A_27c @ bool ) )
% 5.66/5.92 => ! [V3y2: $i] :
% 5.66/5.92 ( ( mem @ V3y2 @ ( arr @ A_27d @ bool ) )
% 5.66/5.92 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27a @ A_27b ) @ V0x1 ) @ V1x2 ) )
% 5.66/5.92 & ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27c @ A_27d ) @ V2y1 ) @ V3y2 ) ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ ( ty_2Epair_2Eprod @ A_27a @ A_27c ) @ ( ty_2Epair_2Eprod @ A_27b @ A_27d ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2ECROSS @ A_27a @ A_27c ) @ V0x1 ) @ V2y1 ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2ECROSS @ A_27b @ A_27d ) @ V1x2 ) @ V3y2 ) ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2ESUBSET__CARDLEQ,axiom,
% 5.66/5.92 ! [A_27a: del,V0x: $i] :
% 5.66/5.92 ( ( mem @ V0x @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ! [V1y: $i] :
% 5.66/5.92 ( ( mem @ V1y @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V0x ) @ V1y ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27a @ A_27a ) @ V0x ) @ V1y ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2EIMAGE__cardleq__rwt,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.66/5.92 ( ( mem @ V0f @ ( arr @ A_27a @ A_27c ) )
% 5.66/5.92 => ! [V1s: $i] :
% 5.66/5.92 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ! [V2t: $i] :
% 5.66/5.92 ( ( mem @ V2t @ ( arr @ A_27b @ bool ) )
% 5.66/5.92 => ( ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27a @ A_27b ) @ V1s ) @ V2t ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27c @ A_27b ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ A_27c ) @ V0f ) @ V1s ) ) @ V2t ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2Ecountable__thm,axiom,
% 5.66/5.92 ! [A_27a: del,V0s: $i] :
% 5.66/5.92 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ( ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27a ) @ V0s ) )
% 5.66/5.92 <=> ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27a @ ty_2Enum_2Enum ) @ V0s ) @ ( c_2Epred__set_2EUNIV @ ty_2Enum_2Enum ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2Ecountable__cardeq,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.66/5.92 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ! [V1t: $i] :
% 5.66/5.92 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.66/5.92 => ( ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ A_27a @ A_27b ) @ V0s ) @ V1t ) )
% 5.66/5.92 => ( ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27a ) @ V0s ) )
% 5.66/5.92 <=> ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27b ) @ V1t ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2Ecardleq__dichotomy,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.66/5.92 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ! [V1t: $i] :
% 5.66/5.92 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.66/5.92 => ( ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27a @ A_27b ) @ V0s ) @ V1t ) )
% 5.66/5.92 | ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27b @ A_27a ) @ V1t ) @ V0s ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2Ecardleq__lteq,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del,V0s1: $i] :
% 5.66/5.92 ( ( mem @ V0s1 @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ! [V1s2: $i] :
% 5.66/5.92 ( ( mem @ V1s2 @ ( arr @ A_27b @ bool ) )
% 5.66/5.92 => ( ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27a @ A_27b ) @ V0s1 ) @ V1s2 ) )
% 5.66/5.92 <=> ( ~ ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27b @ A_27a ) @ V1s2 ) @ V0s1 ) )
% 5.66/5.92 | ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ A_27a @ A_27b ) @ V0s1 ) @ V1s2 ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2Ecardlt__REFL,axiom,
% 5.66/5.92 ! [A_27a: del,V0s: $i] :
% 5.66/5.92 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ~ ~ ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27a @ A_27a ) @ V0s ) @ V0s ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2Ecardlt__lenoteq,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.66/5.92 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ! [V1t: $i] :
% 5.66/5.92 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.66/5.92 => ( ~ ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27b @ A_27a ) @ V1t ) @ V0s ) )
% 5.66/5.92 <=> ( ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27a @ A_27b ) @ V0s ) @ V1t ) )
% 5.66/5.92 & ~ ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ A_27a @ A_27b ) @ V0s ) @ V1t ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2Ecardlt__TRANS,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del,A_27c: del,V0s: $i] :
% 5.66/5.92 ( ( mem @ V0s @ ( arr @ A_27b @ bool ) )
% 5.66/5.92 => ! [V1t: $i] :
% 5.66/5.92 ( ( mem @ V1t @ ( arr @ A_27c @ bool ) )
% 5.66/5.92 => ! [V2u: $i] :
% 5.66/5.92 ( ( mem @ V2u @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ( ( ~ ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27c @ A_27b ) @ V1t ) @ V0s ) )
% 5.66/5.92 & ~ ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27a @ A_27c ) @ V2u ) @ V1t ) ) )
% 5.66/5.92 => ~ ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27a @ A_27b ) @ V2u ) @ V0s ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2Ecardlt__leq__trans,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del,A_27c: del,V0r: $i] :
% 5.66/5.92 ( ( mem @ V0r @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ! [V1s: $i] :
% 5.66/5.92 ( ( mem @ V1s @ ( arr @ A_27b @ bool ) )
% 5.66/5.92 => ! [V2t: $i] :
% 5.66/5.92 ( ( mem @ V2t @ ( arr @ A_27c @ bool ) )
% 5.66/5.92 => ( ( ~ ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27b @ A_27a ) @ V1s ) @ V0r ) )
% 5.66/5.92 & ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27b @ A_27c ) @ V1s ) @ V2t ) ) )
% 5.66/5.92 => ~ ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27c @ A_27a ) @ V2t ) @ V0r ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2Ecardleq__lt__trans,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del,A_27c: del,V0r: $i] :
% 5.66/5.92 ( ( mem @ V0r @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ! [V1s: $i] :
% 5.66/5.92 ( ( mem @ V1s @ ( arr @ A_27b @ bool ) )
% 5.66/5.92 => ! [V2t: $i] :
% 5.66/5.92 ( ( mem @ V2t @ ( arr @ A_27c @ bool ) )
% 5.66/5.92 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27a @ A_27b ) @ V0r ) @ V1s ) )
% 5.66/5.92 & ~ ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27c @ A_27b ) @ V2t ) @ V1s ) ) )
% 5.66/5.92 => ~ ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27c @ A_27a ) @ V2t ) @ V0r ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2Ecardleq__empty,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del,V0x: $i] :
% 5.66/5.92 ( ( mem @ V0x @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ( ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27a @ A_27b ) @ V0x ) @ ( c_2Epred__set_2EEMPTY @ A_27b ) ) )
% 5.66/5.92 <=> ( V0x
% 5.66/5.92 = ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2Eset__binomial2,axiom,
% 5.66/5.92 ! [A_27a: del,V0A: $i] :
% 5.66/5.92 ( ( mem @ V0A @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ! [V1B: $i] :
% 5.66/5.92 ( ( mem @ V1B @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( c_2Epred__set_2ECROSS @ A_27a @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ V0A ) @ V1B ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ V0A ) @ V1B ) )
% 5.66/5.92 = ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2ECROSS @ A_27a @ A_27a ) @ V0A ) @ V0A ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2ECROSS @ A_27a @ A_27a ) @ V0A ) @ V1B ) ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2ECROSS @ A_27a @ A_27a ) @ V1B ) @ V0A ) ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2ECROSS @ A_27a @ A_27a ) @ V1B ) @ V1B ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2ESET__SQUARED__CARDEQ__SET,axiom,
% 5.66/5.92 ! [A_27a: del,V0s: $i] :
% 5.66/5.92 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ( ~ ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2ECROSS @ A_27a @ A_27a ) @ V0s ) @ V0s ) ) @ V0s ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2ESET__SUM__CARDEQ__SET,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.66/5.92 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ( ~ ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.66/5.92 => ( ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ A_27a @ ( ty_2Epair_2Eprod @ bool @ A_27a ) ) @ V0s ) @ ( ap @ ( ap @ ( c_2Epred__set_2ECROSS @ bool @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ bool ) @ c_2Ebool_2ET ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ bool ) @ c_2Ebool_2EF ) @ ( c_2Epred__set_2EEMPTY @ bool ) ) ) ) @ V0s ) ) )
% 5.66/5.92 & ! [V1A: $i] :
% 5.66/5.92 ( ( mem @ V1A @ ( arr @ A_27b @ bool ) )
% 5.66/5.92 => ! [V2B: $i] :
% 5.66/5.92 ( ( mem @ V2B @ ( arr @ A_27b @ bool ) )
% 5.66/5.92 => ( ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2EDISJOINT @ A_27b ) @ V1A ) @ V2B ) )
% 5.66/5.92 & ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ A_27b @ A_27a ) @ V1A ) @ V0s ) )
% 5.66/5.92 & ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ A_27b @ A_27a ) @ V2B ) @ V0s ) ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ A_27b @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27b ) @ V1A ) @ V2B ) ) @ V0s ) ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2ECARD__BIGUNION,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del,V0k: $i] :
% 5.66/5.92 ( ( mem @ V0k @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ! [V1s1: $i] :
% 5.66/5.92 ( ( mem @ V1s1 @ ( arr @ ( arr @ A_27b @ bool ) @ bool ) )
% 5.66/5.92 => ( ( ~ ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0k ) )
% 5.66/5.92 & ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ ( arr @ A_27b @ bool ) @ A_27a ) @ V1s1 ) @ V0k ) )
% 5.66/5.92 & ! [V2e: $i] :
% 5.66/5.92 ( ( mem @ V2e @ ( arr @ A_27b @ bool ) )
% 5.66/5.92 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( arr @ A_27b @ bool ) ) @ V2e ) @ V1s1 ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27b @ A_27a ) @ V2e ) @ V0k ) ) ) ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27b @ A_27a ) @ ( ap @ ( c_2Epred__set_2EBIGUNION @ A_27b ) @ V1s1 ) ) @ V0k ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(ax_thm_2Ecardinal_2Eset__exp__def,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del,V0A: $i] :
% 5.66/5.92 ( ( mem @ V0A @ ( arr @ A_27b @ bool ) )
% 5.66/5.92 => ! [V1B: $i] :
% 5.66/5.92 ( ( mem @ V1B @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( c_2Ecardinal_2Eset__exp @ A_27a @ A_27b ) @ V0A ) @ V1B )
% 5.66/5.92 = ( ap @ ( c_2Epred__set_2EGSPEC @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) )
% 5.66/5.92 @ ( lam @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) )
% 5.66/5.92 @ ^ [V2f: $i] :
% 5.66/5.92 ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) @ bool ) @ V2f )
% 5.66/5.92 @ ( ap
% 5.66/5.92 @ ( ap @ c_2Ebool_2E_2F_5C
% 5.66/5.92 @ ( ap @ ( c_2Ebool_2E_21 @ A_27a )
% 5.66/5.92 @ ( lam @ A_27a
% 5.66/5.92 @ ^ [V3b: $i] :
% 5.66/5.92 ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3b ) @ V1B ) )
% 5.66/5.92 @ ( ap @ ( c_2Ebool_2E_3F @ A_27b )
% 5.66/5.92 @ ( lam @ A_27b
% 5.66/5.92 @ ^ [V4a: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ V4a ) @ V0A ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Eoption_2Eoption @ A_27b ) ) @ ( ap @ V2f @ V3b ) ) @ ( ap @ ( c_2Eoption_2ESOME @ A_27b ) @ V4a ) ) ) ) ) ) ) ) )
% 5.66/5.92 @ ( ap @ ( c_2Ebool_2E_21 @ A_27a )
% 5.66/5.92 @ ( lam @ A_27a
% 5.66/5.92 @ ^ [V5b: $i] : ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ c_2Ebool_2E_7E @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V5b ) @ V1B ) ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Eoption_2Eoption @ A_27b ) ) @ ( ap @ V2f @ V5b ) ) @ ( c_2Eoption_2ENONE @ A_27b ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2EBIJ__functions__agree,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.92 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.92 => ! [V1g: $i] :
% 5.66/5.92 ( ( mem @ V1g @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.92 => ! [V2s: $i] :
% 5.66/5.92 ( ( mem @ V2s @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ! [V3t: $i] :
% 5.66/5.92 ( ( mem @ V3t @ ( arr @ A_27b @ bool ) )
% 5.66/5.92 => ( ( ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EBIJ @ A_27a @ A_27b ) @ V0f ) @ V2s ) @ V3t ) )
% 5.66/5.92 & ! [V4x: $i] :
% 5.66/5.92 ( ( mem @ V4x @ A_27a )
% 5.66/5.92 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V4x ) @ V2s ) )
% 5.66/5.92 => ( ( ap @ V0f @ V4x )
% 5.66/5.92 = ( ap @ V1g @ V4x ) ) ) ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EBIJ @ A_27a @ A_27b ) @ V1g ) @ V2s ) @ V3t ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2ECARD__CARDEQ__I,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del,V0s1: $i] :
% 5.66/5.92 ( ( mem @ V0s1 @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ! [V1s2: $i] :
% 5.66/5.92 ( ( mem @ V1s2 @ ( arr @ A_27b @ bool ) )
% 5.66/5.92 => ( ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s1 ) )
% 5.66/5.92 & ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27b ) @ V1s2 ) )
% 5.66/5.92 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ V0s1 ) )
% 5.66/5.92 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Epred__set_2ECARD @ A_27b ) @ V1s2 ) ) ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ A_27a @ A_27b ) @ V0s1 ) @ V1s2 ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2ECARDEQ__CARD__EQN,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del,V0s1: $i] :
% 5.66/5.92 ( ( mem @ V0s1 @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ! [V1s2: $i] :
% 5.66/5.92 ( ( mem @ V1s2 @ ( arr @ A_27b @ bool ) )
% 5.66/5.92 => ( ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s1 ) )
% 5.66/5.92 & ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27b ) @ V1s2 ) ) )
% 5.66/5.92 => ( ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ A_27a @ A_27b ) @ V0s1 ) @ V1s2 ) )
% 5.66/5.92 <=> ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ V0s1 ) )
% 5.66/5.92 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Epred__set_2ECARD @ A_27b ) @ V1s2 ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2ECARDLEQ__CARD,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del,V0s1: $i] :
% 5.66/5.92 ( ( mem @ V0s1 @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ! [V1s2: $i] :
% 5.66/5.92 ( ( mem @ V1s2 @ ( arr @ A_27b @ bool ) )
% 5.66/5.92 => ( ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s1 ) )
% 5.66/5.92 & ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27b ) @ V1s2 ) ) )
% 5.66/5.92 => ( ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27a @ A_27b ) @ V0s1 ) @ V1s2 ) )
% 5.66/5.92 <=> ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ V0s1 ) ) @ ( ap @ ( c_2Epred__set_2ECARD @ A_27b ) @ V1s2 ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2EEMPTY__set__exp,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0A: $i] :
% 5.66/5.92 ( ( mem @ V0A @ ( arr @ A_27b @ bool ) )
% 5.66/5.92 => ! [V1B: $i] :
% 5.66/5.92 ( ( mem @ V1B @ ( arr @ A_27c @ bool ) )
% 5.66/5.92 => ( ( ( ap @ ( ap @ ( c_2Ecardinal_2Eset__exp @ A_27a @ A_27b ) @ V0A ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) )
% 5.66/5.92 = ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) @ ( ap @ ( c_2Ecombin_2EK @ ( ty_2Eoption_2Eoption @ A_27b ) @ A_27a ) @ ( c_2Eoption_2ENONE @ A_27b ) ) ) @ ( c_2Epred__set_2EEMPTY @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) ) )
% 5.66/5.92 & ( ( V1B
% 5.66/5.92 != ( c_2Epred__set_2EEMPTY @ A_27c ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( c_2Ecardinal_2Eset__exp @ A_27c @ A_27d ) @ ( c_2Epred__set_2EEMPTY @ A_27d ) ) @ V1B )
% 5.66/5.92 = ( c_2Epred__set_2EEMPTY @ ( arr @ A_27c @ ( ty_2Eoption_2Eoption @ A_27d ) ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2EEMPTY__set__exp__CARD,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del,V0A: $i] :
% 5.66/5.92 ( ( mem @ V0A @ ( arr @ A_27b @ bool ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ ( c_2Ecardinal_2Eset__exp @ A_27a @ A_27b ) @ V0A ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) @ ( ap @ c_2Epred__set_2Ecount @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2ESING__set__exp,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del,A_27c: del,V0x: $i] :
% 5.66/5.92 ( ( mem @ V0x @ A_27b )
% 5.66/5.92 => ! [V1B: $i] :
% 5.66/5.92 ( ( mem @ V1B @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ! [V2A: $i] :
% 5.66/5.92 ( ( mem @ V2A @ ( arr @ A_27c @ bool ) )
% 5.66/5.92 => ( ( ( ap @ ( ap @ ( c_2Ecardinal_2Eset__exp @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27b ) @ V0x ) @ ( c_2Epred__set_2EEMPTY @ A_27b ) ) ) @ V1B )
% 5.66/5.92 = ( ap
% 5.66/5.92 @ ( ap @ ( c_2Epred__set_2EINSERT @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) )
% 5.66/5.92 @ ( lam @ A_27a
% 5.66/5.92 @ ^ [V3b: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Eoption_2Eoption @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3b ) @ V1B ) ) @ ( ap @ ( c_2Eoption_2ESOME @ A_27b ) @ V0x ) ) @ ( c_2Eoption_2ENONE @ A_27b ) ) ) )
% 5.66/5.92 @ ( c_2Epred__set_2EEMPTY @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) ) )
% 5.66/5.92 & ( ( ap @ ( ap @ ( c_2Ecardinal_2Eset__exp @ A_27b @ A_27c ) @ V2A ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27b ) @ V0x ) @ ( c_2Epred__set_2EEMPTY @ A_27b ) ) )
% 5.66/5.92 = ( ap @ ( c_2Epred__set_2EGSPEC @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27c ) ) @ A_27c )
% 5.66/5.92 @ ( lam @ A_27c
% 5.66/5.92 @ ^ [V4a: $i] :
% 5.66/5.92 ( ap
% 5.66/5.92 @ ( ap @ ( c_2Epair_2E_2C @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27c ) ) @ bool )
% 5.66/5.92 @ ( lam @ A_27b
% 5.66/5.92 @ ^ [V5b: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Eoption_2Eoption @ A_27c ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27b ) @ V5b ) @ V0x ) ) @ ( ap @ ( c_2Eoption_2ESOME @ A_27c ) @ V4a ) ) @ ( c_2Eoption_2ENONE @ A_27c ) ) ) )
% 5.66/5.92 @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27c ) @ V4a ) @ V2A ) ) ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2ESING__set__exp__CARD,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del,A_27c: del,V0x: $i] :
% 5.66/5.92 ( ( mem @ V0x @ A_27b )
% 5.66/5.92 => ! [V1B: $i] :
% 5.66/5.92 ( ( mem @ V1B @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ! [V2A: $i] :
% 5.66/5.92 ( ( mem @ V2A @ ( arr @ A_27c @ bool ) )
% 5.66/5.92 => ( ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ ( c_2Ecardinal_2Eset__exp @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27b ) @ V0x ) @ ( c_2Epred__set_2EEMPTY @ A_27b ) ) ) @ V1B ) ) @ ( ap @ c_2Epred__set_2Ecount @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.66/5.92 & ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27c ) ) @ A_27c ) @ ( ap @ ( ap @ ( c_2Ecardinal_2Eset__exp @ A_27b @ A_27c ) @ V2A ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27b ) @ V0x ) @ ( c_2Epred__set_2EEMPTY @ A_27b ) ) ) ) @ V2A ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2EPOW__TWO__set__exp,axiom,
% 5.66/5.92 ! [A_27a: del,V0A: $i] :
% 5.66/5.92 ( ( mem @ V0A @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ty_2Enum_2Enum ) ) ) @ ( ap @ ( c_2Epred__set_2EPOW @ A_27a ) @ V0A ) ) @ ( ap @ ( ap @ ( c_2Ecardinal_2Eset__exp @ A_27a @ ty_2Enum_2Enum ) @ ( ap @ c_2Epred__set_2Ecount @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ V0A ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2Eset__exp__count,axiom,
% 5.66/5.92 ! [A_27a: del,V0A: $i] :
% 5.66/5.92 ( ( mem @ V0A @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ! [V1n: tp__ty_2Enum_2Enum] :
% 5.66/5.92 ( p
% 5.66/5.92 @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ ( arr @ ty_2Enum_2Enum @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Ecardinal_2Eset__exp @ ty_2Enum_2Enum @ A_27a ) @ V0A ) @ ( ap @ c_2Epred__set_2Ecount @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.66/5.92 @ ( ap @ ( c_2Epred__set_2EGSPEC @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.92 @ ( lam @ ( ty_2Elist_2Elist @ A_27a )
% 5.66/5.92 @ ^ [V2l: $i] :
% 5.66/5.92 ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ bool ) @ V2l )
% 5.66/5.92 @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ ( ap @ ( c_2Elist_2ELENGTH @ A_27a ) @ V2l ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.66/5.92 @ ( ap @ ( c_2Ebool_2E_21 @ A_27a )
% 5.66/5.92 @ ( lam @ A_27a
% 5.66/5.92 @ ^ [V3e: $i] : ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3e ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V2l ) ) ) @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3e ) @ V0A ) ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2Eset__exp__card__cong,axiom,
% 5.66/5.92 ! [A_27a1: del,A_27a2: del,A_27b1: del,A_27b2: del,V0a1: $i] :
% 5.66/5.92 ( ( mem @ V0a1 @ ( arr @ A_27a1 @ bool ) )
% 5.66/5.92 => ! [V1a2: $i] :
% 5.66/5.92 ( ( mem @ V1a2 @ ( arr @ A_27a2 @ bool ) )
% 5.66/5.92 => ! [V2b1: $i] :
% 5.66/5.92 ( ( mem @ V2b1 @ ( arr @ A_27b1 @ bool ) )
% 5.66/5.92 => ! [V3b2: $i] :
% 5.66/5.92 ( ( mem @ V3b2 @ ( arr @ A_27b2 @ bool ) )
% 5.66/5.92 => ( ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ A_27a1 @ A_27a2 ) @ V0a1 ) @ V1a2 ) )
% 5.66/5.92 => ( ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ A_27b1 @ A_27b2 ) @ V2b1 ) @ V3b2 ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ ( arr @ A_27b1 @ ( ty_2Eoption_2Eoption @ A_27a1 ) ) @ ( arr @ A_27b2 @ ( ty_2Eoption_2Eoption @ A_27a2 ) ) ) @ ( ap @ ( ap @ ( c_2Ecardinal_2Eset__exp @ A_27b1 @ A_27a1 ) @ V0a1 ) @ V2b1 ) ) @ ( ap @ ( ap @ ( c_2Ecardinal_2Eset__exp @ A_27b2 @ A_27a2 ) @ V1a2 ) @ V3b2 ) ) ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2Eset__exp__cardle__cong,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0b: $i] :
% 5.66/5.92 ( ( mem @ V0b @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ! [V1d: $i] :
% 5.66/5.92 ( ( mem @ V1d @ ( arr @ A_27b @ bool ) )
% 5.66/5.92 => ! [V2a: $i] :
% 5.66/5.92 ( ( mem @ V2a @ ( arr @ A_27c @ bool ) )
% 5.66/5.92 => ! [V3c: $i] :
% 5.66/5.92 ( ( mem @ V3c @ ( arr @ A_27d @ bool ) )
% 5.66/5.92 => ( ( ( V0b
% 5.66/5.92 = ( c_2Epred__set_2EEMPTY @ A_27a ) )
% 5.66/5.92 => ( V1d
% 5.66/5.92 = ( c_2Epred__set_2EEMPTY @ A_27b ) ) )
% 5.66/5.92 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27c @ A_27a ) @ V2a ) @ V0b ) )
% 5.66/5.92 & ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27d @ A_27b ) @ V3c ) @ V1d ) ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ ( arr @ A_27d @ ( ty_2Eoption_2Eoption @ A_27c ) ) @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27a ) ) ) @ ( ap @ ( ap @ ( c_2Ecardinal_2Eset__exp @ A_27d @ A_27c ) @ V2a ) @ V3c ) ) @ ( ap @ ( ap @ ( c_2Ecardinal_2Eset__exp @ A_27b @ A_27a ) @ V0b ) @ V1d ) ) ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2Eexp__INSERT__cardeq,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del,V0e: $i] :
% 5.66/5.92 ( ( mem @ V0e @ A_27a )
% 5.66/5.92 => ! [V1s: $i] :
% 5.66/5.92 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ! [V2A: $i] :
% 5.66/5.92 ( ( mem @ V2A @ ( arr @ A_27b @ bool ) )
% 5.66/5.92 => ( ~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0e ) @ V1s ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) @ ( ty_2Epair_2Eprod @ A_27b @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) ) @ ( ap @ ( ap @ ( c_2Ecardinal_2Eset__exp @ A_27a @ A_27b ) @ V2A ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V0e ) @ V1s ) ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2ECROSS @ A_27b @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) @ V2A ) @ ( ap @ ( ap @ ( c_2Ecardinal_2Eset__exp @ A_27a @ A_27b ) @ V2A ) @ V1s ) ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2Eexp__count__cardeq,axiom,
% 5.66/5.92 ! [A_27a: del,V0A: $i] :
% 5.66/5.92 ( ( mem @ V0A @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ! [V1n: tp__ty_2Enum_2Enum] :
% 5.66/5.92 ( ( ~ ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0A ) )
% 5.66/5.92 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ ( arr @ ty_2Enum_2Enum @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ A_27a ) @ ( ap @ ( ap @ ( c_2Ecardinal_2Eset__exp @ ty_2Enum_2Enum @ A_27a ) @ V0A ) @ ( ap @ c_2Epred__set_2Ecount @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) @ V0A ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2EINFINITE__Unum,axiom,
% 5.66/5.92 ! [A_27a: del,V0A: $i] :
% 5.66/5.92 ( ( mem @ V0A @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ( ~ ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0A ) )
% 5.66/5.92 <=> ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ ty_2Enum_2Enum @ A_27a ) @ ( c_2Epred__set_2EUNIV @ ty_2Enum_2Enum ) ) @ V0A ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2Ecardleq__SURJ,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del,V0A: $i] :
% 5.66/5.92 ( ( mem @ V0A @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ! [V1B: $i] :
% 5.66/5.92 ( ( mem @ V1B @ ( arr @ A_27b @ bool ) )
% 5.66/5.92 => ( ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27a @ A_27b ) @ V0A ) @ V1B ) )
% 5.66/5.92 <=> ( ? [V2f: $i] :
% 5.66/5.92 ( ( mem @ V2f @ ( arr @ A_27b @ A_27a ) )
% 5.66/5.92 & ( p @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2ESURJ @ A_27b @ A_27a ) @ V2f ) @ V1B ) @ V0A ) ) )
% 5.66/5.92 | ( V0A
% 5.66/5.92 = ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2EINFINITE__cardleq__INSERT,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del,V0A: $i] :
% 5.66/5.92 ( ( mem @ V0A @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ! [V1x: $i] :
% 5.66/5.92 ( ( mem @ V1x @ A_27b )
% 5.66/5.92 => ! [V2s: $i] :
% 5.66/5.92 ( ( mem @ V2s @ ( arr @ A_27b @ bool ) )
% 5.66/5.92 => ( ~ ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0A ) )
% 5.66/5.92 => ( ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27b @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27b ) @ V1x ) @ V2s ) ) @ V0A ) )
% 5.66/5.92 <=> ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27b @ A_27a ) @ V2s ) @ V0A ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(ax_thm_2Ecardinal_2Elist__def,axiom,
% 5.66/5.92 ! [A_27a: del,V0A: $i] :
% 5.66/5.92 ( ( mem @ V0A @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ( ( ap @ ( c_2Ecardinal_2Elist @ A_27a ) @ V0A )
% 5.66/5.92 = ( ap @ ( c_2Epred__set_2EGSPEC @ ( ty_2Elist_2Elist @ A_27a ) @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.92 @ ( lam @ ( ty_2Elist_2Elist @ A_27a )
% 5.66/5.92 @ ^ [V1l: $i] :
% 5.66/5.92 ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ A_27a ) @ bool ) @ V1l )
% 5.66/5.92 @ ( ap @ ( c_2Ebool_2E_21 @ A_27a )
% 5.66/5.92 @ ( lam @ A_27a
% 5.66/5.92 @ ^ [V2e: $i] : ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2e ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ V1l ) ) ) @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2e ) @ V0A ) ) ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2Elist__EMPTY,axiom,
% 5.66/5.92 ! [A_27a: del] :
% 5.66/5.92 ( ( ap @ ( c_2Ecardinal_2Elist @ A_27a ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) )
% 5.66/5.92 = ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ ( ty_2Elist_2Elist @ A_27a ) ) @ ( c_2Elist_2ENIL @ A_27a ) ) @ ( c_2Epred__set_2EEMPTY @ ( ty_2Elist_2Elist @ A_27a ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2Elist__SING,axiom,
% 5.66/5.92 ! [A_27a: del,V0e: $i] :
% 5.66/5.92 ( ( mem @ V0e @ A_27a )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ ( ty_2Elist_2Elist @ A_27a ) @ ty_2Enum_2Enum ) @ ( ap @ ( c_2Ecardinal_2Elist @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V0e ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) ) @ ( c_2Epred__set_2EUNIV @ ty_2Enum_2Enum ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2EUNIV__list,axiom,
% 5.66/5.92 ! [A_27a: del] :
% 5.66/5.92 ( ( c_2Epred__set_2EUNIV @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.92 = ( ap @ ( c_2Ecardinal_2Elist @ A_27a ) @ ( c_2Epred__set_2EUNIV @ A_27a ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2Elist__BIGUNION__EXP,axiom,
% 5.66/5.92 ! [A_27a: del,V0A: $i] :
% 5.66/5.92 ( ( mem @ V0A @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ( p
% 5.66/5.92 @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ ( ty_2Elist_2Elist @ A_27a ) @ ( arr @ ty_2Enum_2Enum @ ( ty_2Eoption_2Eoption @ A_27a ) ) ) @ ( ap @ ( c_2Ecardinal_2Elist @ A_27a ) @ V0A ) )
% 5.66/5.92 @ ( ap @ ( c_2Epred__set_2EBIGUNION @ ( arr @ ty_2Enum_2Enum @ ( ty_2Eoption_2Eoption @ A_27a ) ) )
% 5.66/5.92 @ ( ap
% 5.66/5.92 @ ( ap @ ( c_2Epred__set_2EIMAGE @ ty_2Enum_2Enum @ ( arr @ ( arr @ ty_2Enum_2Enum @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ bool ) )
% 5.66/5.92 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.92 @ ^ [V1n: $i] : ( ap @ ( ap @ ( c_2Ecardinal_2Eset__exp @ ty_2Enum_2Enum @ A_27a ) @ V0A ) @ ( ap @ c_2Epred__set_2Ecount @ V1n ) ) ) )
% 5.66/5.92 @ ( c_2Epred__set_2EUNIV @ ty_2Enum_2Enum ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2EINFINITE__A__list__BIJ__A,axiom,
% 5.66/5.92 ! [A_27a: del,V0A: $i] :
% 5.66/5.92 ( ( mem @ V0A @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ( ~ ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0A ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ ( ty_2Elist_2Elist @ A_27a ) @ A_27a ) @ ( ap @ ( c_2Ecardinal_2Elist @ A_27a ) @ V0A ) ) @ V0A ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2Efinite__subsets__bijection,axiom,
% 5.66/5.92 ! [A_27a: del,V0A: $i] :
% 5.66/5.92 ( ( mem @ V0A @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ( ~ ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0A ) )
% 5.66/5.92 => ( p
% 5.66/5.92 @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ A_27a @ ( arr @ A_27a @ bool ) ) @ V0A )
% 5.66/5.92 @ ( ap @ ( c_2Epred__set_2EGSPEC @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 @ ( lam @ ( arr @ A_27a @ bool )
% 5.66/5.92 @ ^ [V1s: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( arr @ A_27a @ bool ) @ bool ) @ V1s ) @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V1s ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V1s ) @ V0A ) ) ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2EFINITE__IMAGE__INJ_27,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.66/5.92 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ! [V1f: $i] :
% 5.66/5.92 ( ( mem @ V1f @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.92 => ( ! [V2x: $i] :
% 5.66/5.92 ( ( mem @ V2x @ A_27a )
% 5.66/5.92 => ! [V3y: $i] :
% 5.66/5.92 ( ( mem @ V3y @ A_27a )
% 5.66/5.92 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V0s ) )
% 5.66/5.92 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3y ) @ V0s ) ) )
% 5.66/5.92 => ( ( ( ap @ V1f @ V2x )
% 5.66/5.92 = ( ap @ V1f @ V3y ) )
% 5.66/5.92 <=> ( V2x = V3y ) ) ) ) )
% 5.66/5.92 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27b ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ A_27b ) @ V1f ) @ V0s ) ) )
% 5.66/5.92 <=> ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2Ecountable__decomposition,axiom,
% 5.66/5.92 ! [A_27a: del,V0s: $i] :
% 5.66/5.92 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ( ~ ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.66/5.92 => ? [V1A: $i] :
% 5.66/5.92 ( ( mem @ V1A @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) )
% 5.66/5.92 & ( ( ap @ ( c_2Epred__set_2EBIGUNION @ A_27a ) @ V1A )
% 5.66/5.92 = V0s )
% 5.66/5.92 & ! [V2a: $i] :
% 5.66/5.92 ( ( mem @ V2a @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( arr @ A_27a @ bool ) ) @ V2a ) @ V1A ) )
% 5.66/5.92 => ( ~ ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V2a ) )
% 5.66/5.92 & ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27a ) @ V2a ) ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2Edisjoint__countable__decomposition,axiom,
% 5.66/5.92 ! [A_27a: del,V0s: $i] :
% 5.66/5.92 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ( ~ ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.66/5.92 => ? [V1A: $i] :
% 5.66/5.92 ( ( mem @ V1A @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) )
% 5.66/5.92 & ( ( ap @ ( c_2Epred__set_2EBIGUNION @ A_27a ) @ V1A )
% 5.66/5.92 = V0s )
% 5.66/5.92 & ! [V2a: $i] :
% 5.66/5.92 ( ( mem @ V2a @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( arr @ A_27a @ bool ) ) @ V2a ) @ V1A ) )
% 5.66/5.92 => ( ~ ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V2a ) )
% 5.66/5.92 & ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27a ) @ V2a ) ) ) ) )
% 5.66/5.92 & ! [V3a1: $i] :
% 5.66/5.92 ( ( mem @ V3a1 @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ! [V4a2: $i] :
% 5.66/5.92 ( ( mem @ V4a2 @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( arr @ A_27a @ bool ) ) @ V3a1 ) @ V1A ) )
% 5.66/5.92 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( arr @ A_27a @ bool ) ) @ V4a2 ) @ V1A ) )
% 5.66/5.92 & ( V3a1 != V4a2 ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( c_2Epred__set_2EDISJOINT @ A_27a ) @ V3a1 ) @ V4a2 ) ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2Ecount__cardle,axiom,
% 5.66/5.92 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1A: $i] :
% 5.66/5.92 ( ( mem @ V1A @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ( ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ ty_2Enum_2Enum @ A_27a ) @ ( ap @ c_2Epred__set_2Ecount @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ V1A ) )
% 5.66/5.92 <=> ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V1A ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ V1A ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2ECANTOR,axiom,
% 5.66/5.92 ! [A_27a: del,V0A: $i] :
% 5.66/5.92 ( ( mem @ V0A @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ~ ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ ( arr @ A_27a @ bool ) @ A_27a ) @ ( ap @ ( c_2Epred__set_2EPOW @ A_27a ) @ V0A ) ) @ V0A ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2Ecardlt__cardle,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del,V0B: $i] :
% 5.66/5.92 ( ( mem @ V0B @ ( arr @ A_27b @ bool ) )
% 5.66/5.92 => ! [V1A: $i] :
% 5.66/5.92 ( ( mem @ V1A @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ( ~ ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27b @ A_27a ) @ V0B ) @ V1A ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27a @ A_27b ) @ V1A ) @ V0B ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2Eset__exp__product,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del,A_27c: del,V0A: $i] :
% 5.66/5.92 ( ( mem @ V0A @ ( arr @ A_27c @ bool ) )
% 5.66/5.92 => ! [V1B1: $i] :
% 5.66/5.92 ( ( mem @ V1B1 @ ( arr @ A_27b @ bool ) )
% 5.66/5.92 => ! [V2B2: $i] :
% 5.66/5.92 ( ( mem @ V2B2 @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27c ) ) ) ) @ ( arr @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) @ ( ty_2Eoption_2Eoption @ A_27c ) ) ) @ ( ap @ ( ap @ ( c_2Ecardinal_2Eset__exp @ A_27a @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27c ) ) ) @ ( ap @ ( ap @ ( c_2Ecardinal_2Eset__exp @ A_27b @ A_27c ) @ V0A ) @ V1B1 ) ) @ V2B2 ) ) @ ( ap @ ( ap @ ( c_2Ecardinal_2Eset__exp @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) @ A_27c ) @ V0A ) @ ( ap @ ( ap @ ( c_2Epred__set_2ECROSS @ A_27b @ A_27a ) @ V1B1 ) @ V2B2 ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2ECOUNT__EQ__EMPTY,axiom,
% 5.66/5.92 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.66/5.92 ( ( ( ap @ c_2Epred__set_2Ecount @ ( inj__ty_2Enum_2Enum @ V0n ) )
% 5.66/5.92 = ( c_2Epred__set_2EEMPTY @ ty_2Enum_2Enum ) )
% 5.66/5.92 <=> ( V0n = fo__c_2Enum_2E0 ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2EPOW__EQ__X__EXP__X,axiom,
% 5.66/5.92 ! [A_27a: del,V0A: $i] :
% 5.66/5.92 ( ( mem @ V0A @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ( ~ ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0A ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27a ) ) ) @ ( ap @ ( c_2Epred__set_2EPOW @ A_27a ) @ V0A ) ) @ ( ap @ ( ap @ ( c_2Ecardinal_2Eset__exp @ A_27a @ A_27a ) @ V0A ) @ V0A ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(ax_thm_2Ecardinal_2Ebijns__def,axiom,
% 5.66/5.92 ! [A_27a: del,V0A: $i] :
% 5.66/5.92 ( ( mem @ V0A @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ( ( ap @ ( c_2Ecardinal_2Ebijns @ A_27a ) @ V0A )
% 5.66/5.92 = ( ap @ ( c_2Epred__set_2EGSPEC @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27a ) ) )
% 5.66/5.92 @ ( lam @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27a ) )
% 5.66/5.92 @ ^ [V1f: $i] :
% 5.66/5.92 ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ bool ) @ V1f )
% 5.66/5.92 @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( ap @ ( c_2Epred__set_2EBIJ @ A_27a @ A_27a ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27a @ A_27a @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ ( c_2Eoption_2ETHE @ A_27a ) ) @ V1f ) ) @ V0A ) @ V0A ) )
% 5.66/5.92 @ ( ap @ ( c_2Ebool_2E_21 @ A_27a )
% 5.66/5.92 @ ( lam @ A_27a
% 5.66/5.92 @ ^ [V2a: $i] :
% 5.66/5.92 ( ap @ ( ap @ ( c_2Emin_2E_3D @ bool ) @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2a ) @ V0A ) )
% 5.66/5.92 @ ( ap @ ( c_2Ebool_2E_3F @ A_27a )
% 5.66/5.92 @ ( lam @ A_27a
% 5.66/5.92 @ ^ [V3b: $i] : ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ ( ap @ V1f @ V2a ) ) @ ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V3b ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2Ecardeq__bijns__cong,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del,V0A: $i] :
% 5.66/5.92 ( ( mem @ V0A @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ! [V1B: $i] :
% 5.66/5.92 ( ( mem @ V1B @ ( arr @ A_27b @ bool ) )
% 5.66/5.92 => ( ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ A_27a @ A_27b ) @ V0A ) @ V1B ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ ( arr @ A_27b @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) @ ( ap @ ( c_2Ecardinal_2Ebijns @ A_27a ) @ V0A ) ) @ ( ap @ ( c_2Ecardinal_2Ebijns @ A_27b ) @ V1B ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2Ebijections__cardeq,axiom,
% 5.66/5.92 ! [A_27a: del,V0s: $i] :
% 5.66/5.92 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ( ~ ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ ( arr @ A_27a @ bool ) ) @ ( ap @ ( c_2Ecardinal_2Ebijns @ A_27a ) @ V0s ) ) @ ( ap @ ( c_2Epred__set_2EPOW @ A_27a ) @ V0s ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2ELEFT__IMP__EXISTS__THM,axiom,
% 5.66/5.92 ! [A_27a: del,V0P: $i] :
% 5.66/5.92 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ! [V1Q: $i] :
% 5.66/5.92 ( ( mem @ V1Q @ bool )
% 5.66/5.92 => ( ( ? [V2x: $i] :
% 5.66/5.92 ( ( mem @ V2x @ A_27a )
% 5.66/5.92 & ( p @ ( ap @ V0P @ V2x ) ) )
% 5.66/5.92 => ( p @ V1Q ) )
% 5.66/5.92 <=> ! [V3x: $i] :
% 5.66/5.92 ( ( mem @ V3x @ A_27a )
% 5.66/5.92 => ( ( p @ ( ap @ V0P @ V3x ) )
% 5.66/5.92 => ( p @ V1Q ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2ELEFT__IMP__FORALL__THM,axiom,
% 5.66/5.92 ! [A_27a: del,V0P: $i] :
% 5.66/5.92 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ! [V1Q: $i] :
% 5.66/5.92 ( ( mem @ V1Q @ bool )
% 5.66/5.92 => ( ( ! [V2x: $i] :
% 5.66/5.92 ( ( mem @ V2x @ A_27a )
% 5.66/5.92 => ( p @ ( ap @ V0P @ V2x ) ) )
% 5.66/5.92 => ( p @ V1Q ) )
% 5.66/5.92 <=> ? [V3x: $i] :
% 5.66/5.92 ( ( mem @ V3x @ A_27a )
% 5.66/5.92 & ( ( p @ ( ap @ V0P @ V3x ) )
% 5.66/5.92 => ( p @ V1Q ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2ERIGHT__IMP__EXISTS__THM,axiom,
% 5.66/5.92 ! [A_27a: del,V0P: $i] :
% 5.66/5.92 ( ( mem @ V0P @ bool )
% 5.66/5.92 => ! [V1Q: $i] :
% 5.66/5.92 ( ( mem @ V1Q @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ( ( ( p @ V0P )
% 5.66/5.92 => ? [V2x: $i] :
% 5.66/5.92 ( ( mem @ V2x @ A_27a )
% 5.66/5.92 & ( p @ ( ap @ V1Q @ V2x ) ) ) )
% 5.66/5.92 <=> ? [V3x: $i] :
% 5.66/5.92 ( ( mem @ V3x @ A_27a )
% 5.66/5.92 & ( ( p @ V0P )
% 5.66/5.92 => ( p @ ( ap @ V1Q @ V3x ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2ERIGHT__IMP__FORALL__THM,axiom,
% 5.66/5.92 ! [A_27a: del,V0P: $i] :
% 5.66/5.92 ( ( mem @ V0P @ bool )
% 5.66/5.92 => ! [V1Q: $i] :
% 5.66/5.92 ( ( mem @ V1Q @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ( ( ( p @ V0P )
% 5.66/5.92 => ! [V2x: $i] :
% 5.66/5.92 ( ( mem @ V2x @ A_27a )
% 5.66/5.92 => ( p @ ( ap @ V1Q @ V2x ) ) ) )
% 5.66/5.92 <=> ! [V3x: $i] :
% 5.66/5.92 ( ( mem @ V3x @ A_27a )
% 5.66/5.92 => ( ( p @ V0P )
% 5.66/5.92 => ( p @ ( ap @ V1Q @ V3x ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2EFINITE__FINITE__BIGUNIONS,axiom,
% 5.66/5.92 ! [A_27a: del,V0s: $i] :
% 5.66/5.92 ( ( mem @ V0s @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) )
% 5.66/5.92 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ ( arr @ A_27a @ bool ) ) @ V0s ) )
% 5.66/5.92 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ ( ap @ ( c_2Epred__set_2EBIGUNION @ A_27a ) @ V0s ) ) )
% 5.66/5.92 <=> ! [V1t: $i] :
% 5.66/5.92 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( arr @ A_27a @ bool ) ) @ V1t ) @ V0s ) )
% 5.66/5.92 => ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V1t ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2ECONJ__EQ__IMP,axiom,
% 5.66/5.92 ! [V0r: $i] :
% 5.66/5.92 ( ( mem @ V0r @ bool )
% 5.66/5.92 => ! [V1p: $i] :
% 5.66/5.92 ( ( mem @ V1p @ bool )
% 5.66/5.92 => ! [V2q: $i] :
% 5.66/5.92 ( ( mem @ V2q @ bool )
% 5.66/5.92 => ( ( ( ( p @ V1p )
% 5.66/5.92 & ( p @ V2q ) )
% 5.66/5.92 => ( p @ V0r ) )
% 5.66/5.92 <=> ( ( p @ V1p )
% 5.66/5.92 => ( ( p @ V2q )
% 5.66/5.92 => ( p @ V0r ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2EIMP__CONJ__ALT,axiom,
% 5.66/5.92 ! [V0r: $i] :
% 5.66/5.92 ( ( mem @ V0r @ bool )
% 5.66/5.92 => ! [V1p: $i] :
% 5.66/5.92 ( ( mem @ V1p @ bool )
% 5.66/5.92 => ! [V2q: $i] :
% 5.66/5.92 ( ( mem @ V2q @ bool )
% 5.66/5.92 => ( ( ( ( p @ V1p )
% 5.66/5.92 & ( p @ V2q ) )
% 5.66/5.92 => ( p @ V0r ) )
% 5.66/5.92 <=> ( ( p @ V2q )
% 5.66/5.92 => ( ( p @ V1p )
% 5.66/5.92 => ( p @ V0r ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2ELT__SUC__LE,axiom,
% 5.66/5.92 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.66/5.92 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.66/5.92 <=> ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2ESURJECTIVE__ON__RIGHT__INVERSE,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.66/5.92 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ! [V1f: $i] :
% 5.66/5.92 ( ( mem @ V1f @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.92 => ! [V2t: $i] :
% 5.66/5.92 ( ( mem @ V2t @ ( arr @ A_27b @ bool ) )
% 5.66/5.92 => ( ! [V3y: $i] :
% 5.66/5.92 ( ( mem @ V3y @ A_27b )
% 5.66/5.92 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ V3y ) @ V2t ) )
% 5.66/5.92 => ? [V4x: $i] :
% 5.66/5.92 ( ( mem @ V4x @ A_27a )
% 5.66/5.92 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V4x ) @ V0s ) )
% 5.66/5.92 & ( ( ap @ V1f @ V4x )
% 5.66/5.92 = V3y ) ) ) )
% 5.66/5.92 <=> ? [V5g: $i] :
% 5.66/5.92 ( ( mem @ V5g @ ( arr @ A_27b @ A_27a ) )
% 5.66/5.92 & ! [V6y: $i] :
% 5.66/5.92 ( ( mem @ V6y @ A_27b )
% 5.66/5.92 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ V6y ) @ V2t ) )
% 5.66/5.92 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ ( ap @ V5g @ V6y ) ) @ V0s ) )
% 5.66/5.92 & ( ( ap @ V1f @ ( ap @ V5g @ V6y ) )
% 5.66/5.92 = V6y ) ) ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2ESURJECTIVE__RIGHT__INVERSE,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.92 ( ( mem @ V0f @ ( arr @ A_27b @ A_27a ) )
% 5.66/5.92 => ( ! [V1y: $i] :
% 5.66/5.92 ( ( mem @ V1y @ A_27a )
% 5.66/5.92 => ? [V2x: $i] :
% 5.66/5.92 ( ( mem @ V2x @ A_27b )
% 5.66/5.92 & ( ( ap @ V0f @ V2x )
% 5.66/5.92 = V1y ) ) )
% 5.66/5.92 <=> ? [V3g: $i] :
% 5.66/5.92 ( ( mem @ V3g @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.92 & ! [V4y: $i] :
% 5.66/5.92 ( ( mem @ V4y @ A_27a )
% 5.66/5.92 => ( ( ap @ V0f @ ( ap @ V3g @ V4y ) )
% 5.66/5.92 = V4y ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2EFINITE__IMAGE__INJ__GENERAL,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.92 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.92 => ! [V1A: $i] :
% 5.66/5.92 ( ( mem @ V1A @ ( arr @ A_27b @ bool ) )
% 5.66/5.92 => ! [V2s: $i] :
% 5.66/5.92 ( ( mem @ V2s @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ( ( ! [V3x: $i] :
% 5.66/5.92 ( ( mem @ V3x @ A_27a )
% 5.66/5.92 => ! [V4y: $i] :
% 5.66/5.92 ( ( mem @ V4y @ A_27a )
% 5.66/5.92 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3x ) @ V2s ) )
% 5.66/5.92 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V4y ) @ V2s ) )
% 5.66/5.92 & ( ( ap @ V0f @ V3x )
% 5.66/5.92 = ( ap @ V0f @ V4y ) ) )
% 5.66/5.92 => ( V3x = V4y ) ) ) )
% 5.66/5.92 & ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27b ) @ V1A ) ) )
% 5.66/5.92 => ( p
% 5.66/5.92 @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a )
% 5.66/5.92 @ ( ap @ ( c_2Epred__set_2EGSPEC @ A_27a @ A_27a )
% 5.66/5.92 @ ( lam @ A_27a
% 5.66/5.92 @ ^ [V5x: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ bool ) @ V5x ) @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V5x ) @ V2s ) ) @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ ( ap @ V0f @ V5x ) ) @ V1A ) ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2EFINITE__IMAGE__INJ,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.92 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.92 => ! [V1A: $i] :
% 5.66/5.92 ( ( mem @ V1A @ ( arr @ A_27b @ bool ) )
% 5.66/5.92 => ( ( ! [V2x: $i] :
% 5.66/5.92 ( ( mem @ V2x @ A_27a )
% 5.66/5.92 => ! [V3y: $i] :
% 5.66/5.92 ( ( mem @ V3y @ A_27a )
% 5.66/5.92 => ( ( ( ap @ V0f @ V2x )
% 5.66/5.92 = ( ap @ V0f @ V3y ) )
% 5.66/5.92 => ( V2x = V3y ) ) ) )
% 5.66/5.92 & ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27b ) @ V1A ) ) )
% 5.66/5.92 => ( p
% 5.66/5.92 @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a )
% 5.66/5.92 @ ( ap @ ( c_2Epred__set_2EGSPEC @ A_27a @ A_27a )
% 5.66/5.92 @ ( lam @ A_27a
% 5.66/5.92 @ ^ [V4x: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ bool ) @ V4x ) @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ ( ap @ V0f @ V4x ) ) @ V1A ) ) ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2EFINITE__IMAGE__INJ__EQ,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.92 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.92 => ! [V1s: $i] :
% 5.66/5.92 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ( ! [V2x: $i] :
% 5.66/5.92 ( ( mem @ V2x @ A_27a )
% 5.66/5.92 => ! [V3y: $i] :
% 5.66/5.92 ( ( mem @ V3y @ A_27a )
% 5.66/5.92 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V1s ) )
% 5.66/5.92 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3y ) @ V1s ) )
% 5.66/5.92 & ( ( ap @ V0f @ V2x )
% 5.66/5.92 = ( ap @ V0f @ V3y ) ) )
% 5.66/5.92 => ( V2x = V3y ) ) ) )
% 5.66/5.92 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27b ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ A_27b ) @ V0f ) @ V1s ) ) )
% 5.66/5.92 <=> ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V1s ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2EINFINITE__IMAGE__INJ,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.92 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.92 => ( ! [V1x: $i] :
% 5.66/5.92 ( ( mem @ V1x @ A_27a )
% 5.66/5.92 => ! [V2y: $i] :
% 5.66/5.92 ( ( mem @ V2y @ A_27a )
% 5.66/5.92 => ( ( ( ap @ V0f @ V1x )
% 5.66/5.92 = ( ap @ V0f @ V2y ) )
% 5.66/5.92 => ( V1x = V2y ) ) ) )
% 5.66/5.92 => ! [V3s: $i] :
% 5.66/5.92 ( ( mem @ V3s @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ( ~ ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V3s ) )
% 5.66/5.92 => ~ ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27b ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ A_27b ) @ V0f ) @ V3s ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2EINFINITE__NONEMPTY,axiom,
% 5.66/5.92 ! [A_27a: del,V0s: $i] :
% 5.66/5.92 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ( ~ ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.66/5.92 => ( V0s
% 5.66/5.92 != ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2EFINITE__PRODUCT__DEPENDENT,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.66/5.92 ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27b @ A_27c ) ) )
% 5.66/5.92 => ! [V1s: $i] :
% 5.66/5.92 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ! [V2t: $i] :
% 5.66/5.92 ( ( mem @ V2t @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.66/5.92 => ( ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V1s ) )
% 5.66/5.92 & ! [V3x: $i] :
% 5.66/5.92 ( ( mem @ V3x @ A_27a )
% 5.66/5.92 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3x ) @ V1s ) )
% 5.66/5.92 => ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27b ) @ ( ap @ V2t @ V3x ) ) ) ) ) )
% 5.66/5.92 => ( p
% 5.66/5.92 @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27c )
% 5.66/5.92 @ ( ap @ ( c_2Epred__set_2EGSPEC @ A_27c @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) )
% 5.66/5.92 @ ( ap @ ( c_2Epair_2EUNCURRY @ A_27a @ A_27b @ ( ty_2Epair_2Eprod @ A_27c @ bool ) )
% 5.66/5.92 @ ( lam @ A_27a
% 5.66/5.92 @ ^ [V4x: $i] :
% 5.66/5.92 ( lam @ A_27b
% 5.66/5.92 @ ^ [V5y: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27c @ bool ) @ ( ap @ ( ap @ V0f @ V4x ) @ V5y ) ) @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V4x ) @ V1s ) ) @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ V5y ) @ ( ap @ V2t @ V4x ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2EFINITE__PRODUCT,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.66/5.92 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ! [V1t: $i] :
% 5.66/5.92 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.66/5.92 => ( ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.66/5.92 & ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27b ) @ V1t ) ) )
% 5.66/5.92 => ( p
% 5.66/5.92 @ ( ap @ ( c_2Epred__set_2EFINITE @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) )
% 5.66/5.92 @ ( ap @ ( c_2Epred__set_2EGSPEC @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) )
% 5.66/5.92 @ ( ap @ ( c_2Epair_2EUNCURRY @ A_27a @ A_27b @ ( ty_2Epair_2Eprod @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ bool ) )
% 5.66/5.92 @ ( lam @ A_27a
% 5.66/5.92 @ ^ [V2x: $i] :
% 5.66/5.92 ( lam @ A_27b
% 5.66/5.92 @ ^ [V3y: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ bool ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V2x ) @ V3y ) ) @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V0s ) ) @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ V3y ) @ V1t ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2ESURJECTIVE__IMAGE__THM,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.92 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.92 => ( ! [V1y: $i] :
% 5.66/5.92 ( ( mem @ V1y @ A_27b )
% 5.66/5.92 => ? [V2x: $i] :
% 5.66/5.92 ( ( mem @ V2x @ A_27a )
% 5.66/5.92 & ( ( ap @ V0f @ V2x )
% 5.66/5.92 = V1y ) ) )
% 5.66/5.92 <=> ! [V3P: $i] :
% 5.66/5.92 ( ( mem @ V3P @ ( arr @ A_27b @ bool ) )
% 5.66/5.92 => ( ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ A_27b ) @ V0f )
% 5.66/5.92 @ ( ap @ ( c_2Epred__set_2EGSPEC @ A_27a @ A_27a )
% 5.66/5.92 @ ( lam @ A_27a
% 5.66/5.92 @ ^ [V4x: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ bool ) @ V4x ) @ ( ap @ V3P @ ( ap @ V0f @ V4x ) ) ) ) ) )
% 5.66/5.92 = ( ap @ ( c_2Epred__set_2EGSPEC @ A_27b @ A_27b )
% 5.66/5.92 @ ( lam @ A_27b
% 5.66/5.92 @ ^ [V5x: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27b @ bool ) @ V5x ) @ ( ap @ V3P @ V5x ) ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2ESURJECTIVE__ON__IMAGE,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.92 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.92 => ! [V1u: $i] :
% 5.66/5.92 ( ( mem @ V1u @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ! [V2v: $i] :
% 5.66/5.92 ( ( mem @ V2v @ ( arr @ A_27b @ bool ) )
% 5.66/5.92 => ( ! [V3t: $i] :
% 5.66/5.92 ( ( mem @ V3t @ ( arr @ A_27b @ bool ) )
% 5.66/5.92 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27b ) @ V3t ) @ V2v ) )
% 5.66/5.92 => ? [V4s: $i] :
% 5.66/5.92 ( ( mem @ V4s @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 & ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V4s ) @ V1u ) )
% 5.66/5.92 & ( ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ A_27b ) @ V0f ) @ V4s )
% 5.66/5.92 = V3t ) ) ) )
% 5.66/5.92 <=> ! [V5y: $i] :
% 5.66/5.92 ( ( mem @ V5y @ A_27b )
% 5.66/5.92 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ V5y ) @ V2v ) )
% 5.66/5.92 => ? [V6x: $i] :
% 5.66/5.92 ( ( mem @ V6x @ A_27a )
% 5.66/5.92 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V6x ) @ V1u ) )
% 5.66/5.92 & ( ( ap @ V0f @ V6x )
% 5.66/5.92 = V5y ) ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2ESURJECTIVE__IMAGE,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.92 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.92 => ( ! [V1t: $i] :
% 5.66/5.92 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.66/5.92 => ? [V2s: $i] :
% 5.66/5.92 ( ( mem @ V2s @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 & ( ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ A_27b ) @ V0f ) @ V2s )
% 5.66/5.92 = V1t ) ) )
% 5.66/5.92 <=> ! [V3y: $i] :
% 5.66/5.92 ( ( mem @ V3y @ A_27b )
% 5.66/5.92 => ? [V4x: $i] :
% 5.66/5.92 ( ( mem @ V4x @ A_27a )
% 5.66/5.92 & ( ( ap @ V0f @ V4x )
% 5.66/5.92 = V3y ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2ECARD__LE__INJ,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.66/5.92 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ! [V1t: $i] :
% 5.66/5.92 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.66/5.92 => ( ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.66/5.92 & ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27b ) @ V1t ) )
% 5.66/5.92 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ V0s ) ) @ ( ap @ ( c_2Epred__set_2ECARD @ A_27b ) @ V1t ) ) ) )
% 5.66/5.92 => ? [V2f: $i] :
% 5.66/5.92 ( ( mem @ V2f @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.92 & ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27b ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ A_27b ) @ V2f ) @ V0s ) ) @ V1t ) )
% 5.66/5.92 & ! [V3x: $i] :
% 5.66/5.92 ( ( mem @ V3x @ A_27a )
% 5.66/5.92 => ! [V4y: $i] :
% 5.66/5.92 ( ( mem @ V4y @ A_27a )
% 5.66/5.92 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3x ) @ V0s ) )
% 5.66/5.92 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V4y ) @ V0s ) )
% 5.66/5.92 & ( ( ap @ V2f @ V3x )
% 5.66/5.92 = ( ap @ V2f @ V4y ) ) )
% 5.66/5.92 => ( V3x = V4y ) ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2ECARD__IMAGE__INJ,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.92 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.92 => ! [V1s: $i] :
% 5.66/5.92 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ( ( ! [V2x: $i] :
% 5.66/5.92 ( ( mem @ V2x @ A_27a )
% 5.66/5.92 => ! [V3y: $i] :
% 5.66/5.92 ( ( mem @ V3y @ A_27a )
% 5.66/5.92 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V1s ) )
% 5.66/5.92 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3y ) @ V1s ) )
% 5.66/5.92 & ( ( ap @ V0f @ V2x )
% 5.66/5.92 = ( ap @ V0f @ V3y ) ) )
% 5.66/5.92 => ( V2x = V3y ) ) ) )
% 5.66/5.92 & ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V1s ) ) )
% 5.66/5.92 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Epred__set_2ECARD @ A_27b ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ A_27b ) @ V0f ) @ V1s ) ) )
% 5.66/5.92 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ V1s ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2ECARD__IMAGE__LE,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.92 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.92 => ! [V1s: $i] :
% 5.66/5.92 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V1s ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( c_2Epred__set_2ECARD @ A_27b ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ A_27b ) @ V0f ) @ V1s ) ) ) @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ V1s ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2ESURJECTIVE__IFF__INJECTIVE__GEN,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.66/5.92 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ! [V1t: $i] :
% 5.66/5.92 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.66/5.92 => ! [V2f: $i] :
% 5.66/5.92 ( ( mem @ V2f @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.92 => ( ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.66/5.92 & ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27b ) @ V1t ) )
% 5.66/5.92 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ V0s ) )
% 5.66/5.92 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Epred__set_2ECARD @ A_27b ) @ V1t ) ) )
% 5.66/5.92 & ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27b ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ A_27b ) @ V2f ) @ V0s ) ) @ V1t ) ) )
% 5.66/5.92 => ( ! [V3y: $i] :
% 5.66/5.92 ( ( mem @ V3y @ A_27b )
% 5.66/5.92 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ V3y ) @ V1t ) )
% 5.66/5.92 => ? [V4x: $i] :
% 5.66/5.92 ( ( mem @ V4x @ A_27a )
% 5.66/5.92 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V4x ) @ V0s ) )
% 5.66/5.92 & ( ( ap @ V2f @ V4x )
% 5.66/5.92 = V3y ) ) ) )
% 5.66/5.92 <=> ! [V5x: $i] :
% 5.66/5.92 ( ( mem @ V5x @ A_27a )
% 5.66/5.92 => ! [V6y: $i] :
% 5.66/5.92 ( ( mem @ V6y @ A_27a )
% 5.66/5.92 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V5x ) @ V0s ) )
% 5.66/5.92 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V6y ) @ V0s ) )
% 5.66/5.92 & ( ( ap @ V2f @ V5x )
% 5.66/5.92 = ( ap @ V2f @ V6y ) ) )
% 5.66/5.92 => ( V5x = V6y ) ) ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2ESURJECTIVE__IFF__INJECTIVE,axiom,
% 5.66/5.92 ! [A_27a: del,V0s: $i] :
% 5.66/5.92 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ! [V1f: $i] :
% 5.66/5.92 ( ( mem @ V1f @ ( arr @ A_27a @ A_27a ) )
% 5.66/5.92 => ( ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.66/5.92 & ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ A_27a ) @ V1f ) @ V0s ) ) @ V0s ) ) )
% 5.66/5.92 => ( ! [V2y: $i] :
% 5.66/5.92 ( ( mem @ V2y @ A_27a )
% 5.66/5.92 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2y ) @ V0s ) )
% 5.66/5.92 => ? [V3x: $i] :
% 5.66/5.92 ( ( mem @ V3x @ A_27a )
% 5.66/5.92 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3x ) @ V0s ) )
% 5.66/5.92 & ( ( ap @ V1f @ V3x )
% 5.66/5.92 = V2y ) ) ) )
% 5.66/5.92 <=> ! [V4x: $i] :
% 5.66/5.92 ( ( mem @ V4x @ A_27a )
% 5.66/5.92 => ! [V5y: $i] :
% 5.66/5.92 ( ( mem @ V5y @ A_27a )
% 5.66/5.92 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V4x ) @ V0s ) )
% 5.66/5.92 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V5y ) @ V0s ) )
% 5.66/5.92 & ( ( ap @ V1f @ V4x )
% 5.66/5.92 = ( ap @ V1f @ V5y ) ) )
% 5.66/5.92 => ( V4x = V5y ) ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2ECARD__EQ__BIJECTION,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.66/5.92 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ! [V1t: $i] :
% 5.66/5.92 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.66/5.92 => ( ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.66/5.92 & ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27b ) @ V1t ) )
% 5.66/5.92 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ V0s ) )
% 5.66/5.92 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Epred__set_2ECARD @ A_27b ) @ V1t ) ) ) )
% 5.66/5.92 => ? [V2f: $i] :
% 5.66/5.92 ( ( mem @ V2f @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.92 & ! [V3x: $i] :
% 5.66/5.92 ( ( mem @ V3x @ A_27a )
% 5.66/5.92 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3x ) @ V0s ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ ( ap @ V2f @ V3x ) ) @ V1t ) ) ) )
% 5.66/5.92 & ! [V4y: $i] :
% 5.66/5.92 ( ( mem @ V4y @ A_27b )
% 5.66/5.92 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ V4y ) @ V1t ) )
% 5.66/5.92 => ? [V5x: $i] :
% 5.66/5.92 ( ( mem @ V5x @ A_27a )
% 5.66/5.92 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V5x ) @ V0s ) )
% 5.66/5.92 & ( ( ap @ V2f @ V5x )
% 5.66/5.92 = V4y ) ) ) )
% 5.66/5.92 & ! [V6x: $i] :
% 5.66/5.92 ( ( mem @ V6x @ A_27a )
% 5.66/5.92 => ! [V7y: $i] :
% 5.66/5.92 ( ( mem @ V7y @ A_27a )
% 5.66/5.92 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V6x ) @ V0s ) )
% 5.66/5.92 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V7y ) @ V0s ) )
% 5.66/5.92 & ( ( ap @ V2f @ V6x )
% 5.66/5.92 = ( ap @ V2f @ V7y ) ) )
% 5.66/5.92 => ( V6x = V7y ) ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2ECARD__EQ__BIJECTIONS,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.66/5.92 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ! [V1t: $i] :
% 5.66/5.92 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.66/5.92 => ( ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.66/5.92 & ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27b ) @ V1t ) )
% 5.66/5.92 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ V0s ) )
% 5.66/5.92 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Epred__set_2ECARD @ A_27b ) @ V1t ) ) ) )
% 5.66/5.92 => ? [V2f: $i] :
% 5.66/5.92 ( ( mem @ V2f @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.92 & ? [V3g: $i] :
% 5.66/5.92 ( ( mem @ V3g @ ( arr @ A_27b @ A_27a ) )
% 5.66/5.92 & ! [V4x: $i] :
% 5.66/5.92 ( ( mem @ V4x @ A_27a )
% 5.66/5.92 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V4x ) @ V0s ) )
% 5.66/5.92 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ ( ap @ V2f @ V4x ) ) @ V1t ) )
% 5.66/5.92 & ( ( ap @ V3g @ ( ap @ V2f @ V4x ) )
% 5.66/5.92 = V4x ) ) ) )
% 5.66/5.92 & ! [V5y: $i] :
% 5.66/5.92 ( ( mem @ V5y @ A_27b )
% 5.66/5.92 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ V5y ) @ V1t ) )
% 5.66/5.92 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ ( ap @ V3g @ V5y ) ) @ V0s ) )
% 5.66/5.92 & ( ( ap @ V2f @ ( ap @ V3g @ V5y ) )
% 5.66/5.92 = V5y ) ) ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2ESING__SUBSET,axiom,
% 5.66/5.92 ! [A_27a: del,V0s: $i] :
% 5.66/5.92 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ! [V1x: $i] :
% 5.66/5.92 ( ( mem @ V1x @ A_27a )
% 5.66/5.92 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V1x ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) @ V0s ) )
% 5.66/5.92 <=> ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V1x ) @ V0s ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2EINJECTIVE__ON__IMAGE,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.92 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.92 => ! [V1u: $i] :
% 5.66/5.92 ( ( mem @ V1u @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ( ! [V2s: $i] :
% 5.66/5.92 ( ( mem @ V2s @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ! [V3t: $i] :
% 5.66/5.92 ( ( mem @ V3t @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ( ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V2s ) @ V1u ) )
% 5.66/5.92 & ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V3t ) @ V1u ) )
% 5.66/5.92 & ( ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ A_27b ) @ V0f ) @ V2s )
% 5.66/5.92 = ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ A_27b ) @ V0f ) @ V3t ) ) )
% 5.66/5.92 => ( V2s = V3t ) ) ) )
% 5.66/5.92 <=> ! [V4x: $i] :
% 5.66/5.92 ( ( mem @ V4x @ A_27a )
% 5.66/5.92 => ! [V5y: $i] :
% 5.66/5.92 ( ( mem @ V5y @ A_27a )
% 5.66/5.92 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V4x ) @ V1u ) )
% 5.66/5.92 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V5y ) @ V1u ) )
% 5.66/5.92 & ( ( ap @ V0f @ V4x )
% 5.66/5.92 = ( ap @ V0f @ V5y ) ) )
% 5.66/5.92 => ( V4x = V5y ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2EINJECTIVE__IMAGE,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.92 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.92 => ( ! [V1s: $i] :
% 5.66/5.92 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ! [V2t: $i] :
% 5.66/5.92 ( ( mem @ V2t @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ( ( ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ A_27b ) @ V0f ) @ V1s )
% 5.66/5.92 = ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ A_27b ) @ V0f ) @ V2t ) )
% 5.66/5.92 => ( V1s = V2t ) ) ) )
% 5.66/5.92 <=> ! [V3x: $i] :
% 5.66/5.92 ( ( mem @ V3x @ A_27a )
% 5.66/5.92 => ! [V4y: $i] :
% 5.66/5.92 ( ( mem @ V4y @ A_27a )
% 5.66/5.92 => ( ( ( ap @ V0f @ V3x )
% 5.66/5.92 = ( ap @ V0f @ V4y ) )
% 5.66/5.92 => ( V3x = V4y ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2EFINITE__FINITE__BIGUNION,axiom,
% 5.66/5.92 ! [A_27a: del,V0s: $i] :
% 5.66/5.92 ( ( mem @ V0s @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) )
% 5.66/5.92 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ ( arr @ A_27a @ bool ) ) @ V0s ) )
% 5.66/5.92 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ ( ap @ ( c_2Epred__set_2EBIGUNION @ A_27a ) @ V0s ) ) )
% 5.66/5.92 <=> ! [V1t: $i] :
% 5.66/5.92 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( arr @ A_27a @ bool ) ) @ V1t ) @ V0s ) )
% 5.66/5.92 => ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V1t ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2Enum__FINITE,axiom,
% 5.66/5.92 ! [V0s: $i] :
% 5.66/5.92 ( ( mem @ V0s @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.92 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ ty_2Enum_2Enum ) @ V0s ) )
% 5.66/5.92 <=> ? [V1a: tp__ty_2Enum_2Enum] :
% 5.66/5.92 ! [V2x: tp__ty_2Enum_2Enum] :
% 5.66/5.92 ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V2x ) ) @ V0s ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V2x ) ) @ ( inj__ty_2Enum_2Enum @ V1a ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2Enum__FINITE__AVOID,axiom,
% 5.66/5.92 ! [V0s: $i] :
% 5.66/5.92 ( ( mem @ V0s @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.92 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ ty_2Enum_2Enum ) @ V0s ) )
% 5.66/5.92 => ? [V1a: tp__ty_2Enum_2Enum] :
% 5.66/5.92 ~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ V1a ) ) @ V0s ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2Enum__INFINITE,axiom,
% 5.66/5.92 ~ ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ ty_2Enum_2Enum ) @ ( c_2Epred__set_2EUNIV @ ty_2Enum_2Enum ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(ax_thm_2Ecardinal_2EHAS__SIZE,axiom,
% 5.66/5.92 ! [A_27a: del,V0s: $i] :
% 5.66/5.92 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ! [V1n: tp__ty_2Enum_2Enum] :
% 5.66/5.92 ( ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2EHAS__SIZE @ A_27a ) @ V0s ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.66/5.92 <=> ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.66/5.92 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ V0s ) )
% 5.66/5.92 = V1n ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2EHAS__SIZE__CARD,axiom,
% 5.66/5.92 ! [A_27a: del,V0s: $i] :
% 5.66/5.92 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ! [V1n: tp__ty_2Enum_2Enum] :
% 5.66/5.92 ( ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2EHAS__SIZE @ A_27a ) @ V0s ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.66/5.92 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ V0s ) )
% 5.66/5.92 = V1n ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2EHAS__SIZE__0,axiom,
% 5.66/5.92 ! [A_27a: del,V0s: $i] :
% 5.66/5.92 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ( ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2EHAS__SIZE @ A_27a ) @ V0s ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.66/5.92 <=> ( V0s
% 5.66/5.92 = ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2EHAS__SIZE__SUC,axiom,
% 5.66/5.92 ! [A_27a: del,V0s: $i] :
% 5.66/5.92 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ! [V1n: tp__ty_2Enum_2Enum] :
% 5.66/5.92 ( ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2EHAS__SIZE @ A_27a ) @ V0s ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.66/5.92 <=> ( ( V0s
% 5.66/5.92 != ( c_2Epred__set_2EEMPTY @ A_27a ) )
% 5.66/5.92 & ! [V2a: $i] :
% 5.66/5.92 ( ( mem @ V2a @ A_27a )
% 5.66/5.92 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2a ) @ V0s ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2EHAS__SIZE @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ A_27a ) @ V0s ) @ V2a ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2EFINITE__HAS__SIZE,axiom,
% 5.66/5.92 ! [A_27a: del,V0s: $i] :
% 5.66/5.92 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.66/5.92 <=> ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2EHAS__SIZE @ A_27a ) @ V0s ) @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ V0s ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2EHAS__SIZE__CLAUSES,axiom,
% 5.66/5.92 ! [A_27a: del,V0n: tp__ty_2Enum_2Enum,V1s: $i] :
% 5.66/5.92 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2EHAS__SIZE @ A_27a ) @ V1s ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.66/5.92 <=> ( V1s
% 5.66/5.92 = ( c_2Epred__set_2EEMPTY @ A_27a ) ) )
% 5.66/5.92 & ( ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2EHAS__SIZE @ A_27a ) @ V1s ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) )
% 5.66/5.92 <=> ? [V2a: $i] :
% 5.66/5.92 ( ( mem @ V2a @ A_27a )
% 5.66/5.92 & ? [V3t: $i] :
% 5.66/5.92 ( ( mem @ V3t @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 & ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2EHAS__SIZE @ A_27a ) @ V3t ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.66/5.92 & ~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2a ) @ V3t ) )
% 5.66/5.92 & ( V1s
% 5.66/5.92 = ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V2a ) @ V3t ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2ECARD__SUBSET__EQ,axiom,
% 5.66/5.92 ! [A_27a: del,V0a: $i] :
% 5.66/5.92 ( ( mem @ V0a @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ! [V1b: $i] :
% 5.66/5.92 ( ( mem @ V1b @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ( ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V1b ) )
% 5.66/5.92 & ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V0a ) @ V1b ) )
% 5.66/5.92 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ V0a ) )
% 5.66/5.92 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ V1b ) ) ) )
% 5.66/5.92 => ( V0a = V1b ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2EHAS__SIZE__INDEX,axiom,
% 5.66/5.92 ! [A_27a: del,V0s: $i] :
% 5.66/5.92 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ! [V1n: tp__ty_2Enum_2Enum] :
% 5.66/5.92 ( ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2EHAS__SIZE @ A_27a ) @ V0s ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.66/5.92 => ? [V2f: $i] :
% 5.66/5.92 ( ( mem @ V2f @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.66/5.92 & ! [V3m: tp__ty_2Enum_2Enum] :
% 5.66/5.92 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V3m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ ( ap @ V2f @ ( inj__ty_2Enum_2Enum @ V3m ) ) ) @ V0s ) ) )
% 5.66/5.92 & ! [V4x: $i] :
% 5.66/5.92 ( ( mem @ V4x @ A_27a )
% 5.66/5.92 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V4x ) @ V0s ) )
% 5.66/5.92 => ( p
% 5.66/5.92 @ ( ap @ ( c_2Ebool_2E_3F_21 @ ty_2Enum_2Enum )
% 5.66/5.92 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.92 @ ^ [V5m: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ V5m ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ ( ap @ V2f @ V5m ) ) @ V4x ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2ECARD__BIGUNION__LE,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.66/5.92 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ! [V1t: $i] :
% 5.66/5.92 ( ( mem @ V1t @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.66/5.92 => ! [V2m: tp__ty_2Enum_2Enum,V3n: tp__ty_2Enum_2Enum] :
% 5.66/5.92 ( ( ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2EHAS__SIZE @ A_27a ) @ V0s ) @ ( inj__ty_2Enum_2Enum @ V2m ) ) )
% 5.66/5.92 & ! [V4x: $i] :
% 5.66/5.92 ( ( mem @ V4x @ A_27a )
% 5.66/5.92 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V4x ) @ V0s ) )
% 5.66/5.92 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27b ) @ ( ap @ V1t @ V4x ) ) )
% 5.66/5.92 & ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( c_2Epred__set_2ECARD @ A_27b ) @ ( ap @ V1t @ V4x ) ) ) @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) ) ) ) )
% 5.66/5.92 => ( p
% 5.66/5.92 @ ( ap
% 5.66/5.92 @ ( ap @ c_2Earithmetic_2E_3C_3D
% 5.66/5.92 @ ( ap @ ( c_2Epred__set_2ECARD @ A_27b )
% 5.66/5.92 @ ( ap @ ( c_2Epred__set_2EBIGUNION @ A_27b )
% 5.66/5.92 @ ( ap @ ( c_2Epred__set_2EGSPEC @ ( arr @ A_27b @ bool ) @ A_27a )
% 5.66/5.92 @ ( lam @ A_27a
% 5.66/5.92 @ ^ [V5x: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( arr @ A_27b @ bool ) @ bool ) @ ( ap @ V1t @ V5x ) ) @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V5x ) @ V0s ) ) ) ) ) ) )
% 5.66/5.92 @ ( ap @ ( ap @ c_2Earithmetic_2E_2A @ ( inj__ty_2Enum_2Enum @ V2m ) ) @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2EHAS__SIZE__BOOL,axiom,
% 5.66/5.92 p @ ( ap @ ( ap @ ( c_2Ecardinal_2EHAS__SIZE @ bool ) @ ( c_2Epred__set_2EUNIV @ bool ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2ECARD__BOOL,axiom,
% 5.66/5.92 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Epred__set_2ECARD @ bool ) @ ( c_2Epred__set_2EUNIV @ bool ) ) )
% 5.66/5.92 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2EFINITE__BOOL,axiom,
% 5.66/5.92 p @ ( ap @ ( c_2Epred__set_2EFINITE @ bool ) @ ( c_2Epred__set_2EUNIV @ bool ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2EHAS__SIZE__CART__UNIV,axiom,
% 5.66/5.92 ! [A_27a: del,V0m: tp__ty_2Enum_2Enum] :
% 5.66/5.92 ( ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2EHAS__SIZE @ A_27a ) @ ( c_2Epred__set_2EUNIV @ A_27a ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2EHAS__SIZE @ A_27a ) @ ( c_2Epred__set_2EUNIV @ A_27a ) ) @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2ECARD__CART__UNIV,axiom,
% 5.66/5.92 ! [A_27a: del] :
% 5.66/5.92 ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ ( c_2Epred__set_2EUNIV @ A_27a ) ) )
% 5.66/5.92 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ ( c_2Epred__set_2EUNIV @ A_27a ) ) )
% 5.66/5.92 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2EEXP @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ ( c_2Epred__set_2EUNIV @ A_27a ) ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2EFINITE__CART__UNIV,axiom,
% 5.66/5.92 ! [A_27a: del] :
% 5.66/5.92 ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ ( c_2Epred__set_2EUNIV @ A_27a ) ) )
% 5.66/5.92 => ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ ( c_2Epred__set_2EUNIV @ A_27a ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2EHAS__SIZE__NUMSEG__LT,axiom,
% 5.66/5.92 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.66/5.92 ( p
% 5.66/5.92 @ ( ap
% 5.66/5.92 @ ( ap @ ( c_2Ecardinal_2EHAS__SIZE @ ty_2Enum_2Enum )
% 5.66/5.92 @ ( ap @ ( c_2Epred__set_2EGSPEC @ ty_2Enum_2Enum @ ty_2Enum_2Enum )
% 5.66/5.92 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.92 @ ^ [V1m: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ bool ) @ V1m ) @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ V1m ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) )
% 5.66/5.92 @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2EFINITE__NUMSEG__LT,axiom,
% 5.66/5.92 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.66/5.92 ( p
% 5.66/5.92 @ ( ap @ ( c_2Epred__set_2EFINITE @ ty_2Enum_2Enum )
% 5.66/5.92 @ ( ap @ ( c_2Epred__set_2EGSPEC @ ty_2Enum_2Enum @ ty_2Enum_2Enum )
% 5.66/5.92 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.92 @ ^ [V1m: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ bool ) @ V1m ) @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ V1m ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2EHAS__SIZE__NUMSEG__LE,axiom,
% 5.66/5.92 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.66/5.92 ( p
% 5.66/5.92 @ ( ap
% 5.66/5.92 @ ( ap @ ( c_2Ecardinal_2EHAS__SIZE @ ty_2Enum_2Enum )
% 5.66/5.92 @ ( ap @ ( c_2Epred__set_2EGSPEC @ ty_2Enum_2Enum @ ty_2Enum_2Enum )
% 5.66/5.92 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.92 @ ^ [V1m: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ bool ) @ V1m ) @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ V1m ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) )
% 5.66/5.92 @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2EFINITE__NUMSEG__LE,axiom,
% 5.66/5.92 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.66/5.92 ( p
% 5.66/5.92 @ ( ap @ ( c_2Epred__set_2EFINITE @ ty_2Enum_2Enum )
% 5.66/5.92 @ ( ap @ ( c_2Epred__set_2EGSPEC @ ty_2Enum_2Enum @ ty_2Enum_2Enum )
% 5.66/5.92 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.92 @ ^ [V1m: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Enum_2Enum @ bool ) @ V1m ) @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ V1m ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2EINFINITE__DIFF__FINITE,axiom,
% 5.66/5.92 ! [A_27a: del,V0s: $i] :
% 5.66/5.92 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ! [V1t: $i] :
% 5.66/5.92 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ( ( ~ ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.66/5.92 & ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V1t ) ) )
% 5.66/5.92 => ~ ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDIFF @ A_27a ) @ V0s ) @ V1t ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2ELE__CASES,axiom,
% 5.66/5.92 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.66/5.92 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.66/5.92 | ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2ELT__CASES,axiom,
% 5.66/5.92 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.66/5.92 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.66/5.92 | ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) )
% 5.66/5.92 | ( V0m = V1n ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2ELT,axiom,
% 5.66/5.92 ( ! [V0m: tp__ty_2Enum_2Enum] :
% 5.66/5.92 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.66/5.92 <=> $false )
% 5.66/5.92 & ! [V1m: tp__ty_2Enum_2Enum,V2n: tp__ty_2Enum_2Enum] :
% 5.66/5.92 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) )
% 5.66/5.92 <=> ( ( V1m = V2n )
% 5.66/5.92 | ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2ELT__LE,axiom,
% 5.66/5.92 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.66/5.92 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.66/5.92 <=> ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.66/5.92 & ( V0m != V1n ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2EGE,axiom,
% 5.66/5.92 ! [V0n: tp__ty_2Enum_2Enum,V1m: tp__ty_2Enum_2Enum] :
% 5.66/5.92 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3E_3D @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.66/5.92 <=> ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2ELE__SUC__LT,axiom,
% 5.66/5.92 ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.66/5.92 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) )
% 5.66/5.92 <=> ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2EINJECTIVE__ON__LEFT__INVERSE,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.92 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.92 => ! [V1s: $i] :
% 5.66/5.92 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ( ! [V2x: $i] :
% 5.66/5.92 ( ( mem @ V2x @ A_27a )
% 5.66/5.92 => ! [V3y: $i] :
% 5.66/5.92 ( ( mem @ V3y @ A_27a )
% 5.66/5.92 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V1s ) )
% 5.66/5.92 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3y ) @ V1s ) )
% 5.66/5.92 & ( ( ap @ V0f @ V2x )
% 5.66/5.92 = ( ap @ V0f @ V3y ) ) )
% 5.66/5.92 => ( V2x = V3y ) ) ) )
% 5.66/5.92 <=> ? [V4g: $i] :
% 5.66/5.92 ( ( mem @ V4g @ ( arr @ A_27b @ A_27a ) )
% 5.66/5.92 & ! [V5x: $i] :
% 5.66/5.92 ( ( mem @ V5x @ A_27a )
% 5.66/5.92 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V5x ) @ V1s ) )
% 5.66/5.92 => ( ( ap @ V4g @ ( ap @ V0f @ V5x ) )
% 5.66/5.92 = V5x ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2EINJECTIVE__LEFT__INVERSE,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.92 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.92 => ( ! [V1x: $i] :
% 5.66/5.92 ( ( mem @ V1x @ A_27a )
% 5.66/5.92 => ! [V2y: $i] :
% 5.66/5.92 ( ( mem @ V2y @ A_27a )
% 5.66/5.92 => ( ( ( ap @ V0f @ V1x )
% 5.66/5.92 = ( ap @ V0f @ V2y ) )
% 5.66/5.92 => ( V1x = V2y ) ) ) )
% 5.66/5.92 <=> ? [V3g: $i] :
% 5.66/5.92 ( ( mem @ V3g @ ( arr @ A_27b @ A_27a ) )
% 5.66/5.92 & ! [V4x: $i] :
% 5.66/5.92 ( ( mem @ V4x @ A_27a )
% 5.66/5.92 => ( ( ap @ V3g @ ( ap @ V0f @ V4x ) )
% 5.66/5.92 = V4x ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2EINTER__ACI,axiom,
% 5.66/5.92 ! [A_27a: del,V0r: $i] :
% 5.66/5.92 ( ( mem @ V0r @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ! [V1p: $i] :
% 5.66/5.92 ( ( mem @ V1p @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ! [V2q: $i] :
% 5.66/5.92 ( ( mem @ V2q @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ( ( ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ V1p ) @ V2q )
% 5.66/5.92 = ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ V2q ) @ V1p ) )
% 5.66/5.92 & ( ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ V1p ) @ V2q ) ) @ V0r )
% 5.66/5.92 = ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ V1p ) @ V2q ) ) @ V0r ) )
% 5.66/5.92 & ( ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ V1p ) @ V2q ) ) @ V0r )
% 5.66/5.92 = ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ V2q ) @ V1p ) ) @ V0r ) )
% 5.66/5.92 & ( ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ V1p ) @ V1p )
% 5.66/5.92 = V1p )
% 5.66/5.92 & ( ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ V1p ) @ V1p ) ) @ V2q )
% 5.66/5.92 = ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ V1p ) @ V2q ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2ECONJ__ACI,axiom,
% 5.66/5.92 ! [V0r: $i] :
% 5.66/5.92 ( ( mem @ V0r @ bool )
% 5.66/5.92 => ! [V1p: $i] :
% 5.66/5.92 ( ( mem @ V1p @ bool )
% 5.66/5.92 => ! [V2q: $i] :
% 5.66/5.92 ( ( mem @ V2q @ bool )
% 5.66/5.92 => ( ( ( ( p @ V1p )
% 5.66/5.92 & ( p @ V2q ) )
% 5.66/5.92 <=> ( ( p @ V2q )
% 5.66/5.92 & ( p @ V1p ) ) )
% 5.66/5.92 & ( ( ( p @ V1p )
% 5.66/5.92 & ( p @ V2q )
% 5.66/5.92 & ( p @ V0r ) )
% 5.66/5.92 <=> ( ( p @ V1p )
% 5.66/5.92 & ( p @ V2q )
% 5.66/5.92 & ( p @ V0r ) ) )
% 5.66/5.92 & ( ( ( p @ V1p )
% 5.66/5.92 & ( p @ V2q )
% 5.66/5.92 & ( p @ V0r ) )
% 5.66/5.92 <=> ( ( p @ V2q )
% 5.66/5.92 & ( p @ V1p )
% 5.66/5.92 & ( p @ V0r ) ) )
% 5.66/5.92 & ( ( ( p @ V1p )
% 5.66/5.92 & ( p @ V1p ) )
% 5.66/5.92 <=> ( p @ V1p ) )
% 5.66/5.92 & ( ( ( p @ V1p )
% 5.66/5.92 & ( p @ V1p )
% 5.66/5.92 & ( p @ V2q ) )
% 5.66/5.92 <=> ( ( p @ V1p )
% 5.66/5.92 & ( p @ V2q ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2EUNION__ACI,axiom,
% 5.66/5.92 ! [A_27a: del,V0r: $i] :
% 5.66/5.92 ( ( mem @ V0r @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ! [V1p: $i] :
% 5.66/5.92 ( ( mem @ V1p @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ! [V2q: $i] :
% 5.66/5.92 ( ( mem @ V2q @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ( ( ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ V1p ) @ V2q )
% 5.66/5.92 = ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ V2q ) @ V1p ) )
% 5.66/5.92 & ( ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ V1p ) @ V2q ) ) @ V0r )
% 5.66/5.92 = ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ V1p ) @ V2q ) ) @ V0r ) )
% 5.66/5.92 & ( ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ V1p ) @ V2q ) ) @ V0r )
% 5.66/5.92 = ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ V2q ) @ V1p ) ) @ V0r ) )
% 5.66/5.92 & ( ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ V1p ) @ V1p )
% 5.66/5.92 = V1p )
% 5.66/5.92 & ( ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ V1p ) @ V1p ) ) @ V2q )
% 5.66/5.92 = ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ V1p ) @ V2q ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2ELT__NZ,axiom,
% 5.66/5.92 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.66/5.92 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.66/5.92 <=> ( V0n != fo__c_2Enum_2E0 ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2ELE__1,axiom,
% 5.66/5.92 ( ! [V0n: tp__ty_2Enum_2Enum] :
% 5.66/5.92 ( ( V0n != fo__c_2Enum_2E0 )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) )
% 5.66/5.92 & ! [V1n: tp__ty_2Enum_2Enum] :
% 5.66/5.92 ( ( V1n != fo__c_2Enum_2E0 )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.66/5.92 & ! [V2n: tp__ty_2Enum_2Enum] :
% 5.66/5.92 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) )
% 5.66/5.92 => ( V2n != fo__c_2Enum_2E0 ) )
% 5.66/5.92 & ! [V3n: tp__ty_2Enum_2Enum] :
% 5.66/5.92 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V3n ) ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) )
% 5.66/5.92 & ! [V4n: tp__ty_2Enum_2Enum] :
% 5.66/5.92 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V4n ) ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ V4n ) ) ) )
% 5.66/5.92 & ! [V5n: tp__ty_2Enum_2Enum] :
% 5.66/5.92 ( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V5n ) ) )
% 5.66/5.92 => ( V5n != fo__c_2Enum_2E0 ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2EOR__EXISTS__THM,axiom,
% 5.66/5.92 ! [A_27a: del,V0P: $i] :
% 5.66/5.92 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ! [V1Q: $i] :
% 5.66/5.92 ( ( mem @ V1Q @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ( ( ? [V2x: $i] :
% 5.66/5.92 ( ( mem @ V2x @ A_27a )
% 5.66/5.92 & ( p @ ( ap @ V0P @ V2x ) ) )
% 5.66/5.92 | ? [V3x: $i] :
% 5.66/5.92 ( ( mem @ V3x @ A_27a )
% 5.66/5.92 & ( p @ ( ap @ V1Q @ V3x ) ) ) )
% 5.66/5.92 <=> ? [V4x: $i] :
% 5.66/5.92 ( ( mem @ V4x @ A_27a )
% 5.66/5.92 & ( ( p @ ( ap @ V0P @ V4x ) )
% 5.66/5.92 | ( p @ ( ap @ V1Q @ V4x ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2EBIJECTIVE__INJECTIVE__SURJECTIVE,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.92 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.92 => ! [V1s: $i] :
% 5.66/5.92 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ! [V2t: $i] :
% 5.66/5.92 ( ( mem @ V2t @ ( arr @ A_27b @ bool ) )
% 5.66/5.92 => ( ( ! [V3x: $i] :
% 5.66/5.92 ( ( mem @ V3x @ A_27a )
% 5.66/5.92 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3x ) @ V1s ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ ( ap @ V0f @ V3x ) ) @ V2t ) ) ) )
% 5.66/5.92 & ! [V4y: $i] :
% 5.66/5.92 ( ( mem @ V4y @ A_27b )
% 5.66/5.92 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ V4y ) @ V2t ) )
% 5.66/5.92 => ( p
% 5.66/5.92 @ ( ap @ ( c_2Ebool_2E_3F_21 @ A_27a )
% 5.66/5.92 @ ( lam @ A_27a
% 5.66/5.92 @ ^ [V5x: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V5x ) @ V1s ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27b ) @ ( ap @ V0f @ V5x ) ) @ V4y ) ) ) ) ) ) ) )
% 5.66/5.92 <=> ( ! [V6x: $i] :
% 5.66/5.92 ( ( mem @ V6x @ A_27a )
% 5.66/5.92 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V6x ) @ V1s ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ ( ap @ V0f @ V6x ) ) @ V2t ) ) ) )
% 5.66/5.92 & ! [V7x: $i] :
% 5.66/5.92 ( ( mem @ V7x @ A_27a )
% 5.66/5.92 => ! [V8y: $i] :
% 5.66/5.92 ( ( mem @ V8y @ A_27a )
% 5.66/5.92 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V7x ) @ V1s ) )
% 5.66/5.92 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V8y ) @ V1s ) )
% 5.66/5.92 & ( ( ap @ V0f @ V7x )
% 5.66/5.92 = ( ap @ V0f @ V8y ) ) )
% 5.66/5.92 => ( V7x = V8y ) ) ) )
% 5.66/5.92 & ! [V9y: $i] :
% 5.66/5.92 ( ( mem @ V9y @ A_27b )
% 5.66/5.92 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ V9y ) @ V2t ) )
% 5.66/5.92 => ? [V10x: $i] :
% 5.66/5.92 ( ( mem @ V10x @ A_27a )
% 5.66/5.92 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V10x ) @ V1s ) )
% 5.66/5.92 & ( ( ap @ V0f @ V10x )
% 5.66/5.92 = V9y ) ) ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2EBIJECTIVE__INVERSES,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.92 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.92 => ! [V1s: $i] :
% 5.66/5.92 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ! [V2t: $i] :
% 5.66/5.92 ( ( mem @ V2t @ ( arr @ A_27b @ bool ) )
% 5.66/5.92 => ( ( ! [V3x: $i] :
% 5.66/5.92 ( ( mem @ V3x @ A_27a )
% 5.66/5.92 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3x ) @ V1s ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ ( ap @ V0f @ V3x ) ) @ V2t ) ) ) )
% 5.66/5.92 & ! [V4y: $i] :
% 5.66/5.92 ( ( mem @ V4y @ A_27b )
% 5.66/5.92 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ V4y ) @ V2t ) )
% 5.66/5.92 => ( p
% 5.66/5.92 @ ( ap @ ( c_2Ebool_2E_3F_21 @ A_27a )
% 5.66/5.92 @ ( lam @ A_27a
% 5.66/5.92 @ ^ [V5x: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V5x ) @ V1s ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27b ) @ ( ap @ V0f @ V5x ) ) @ V4y ) ) ) ) ) ) ) )
% 5.66/5.92 <=> ( ! [V6x: $i] :
% 5.66/5.92 ( ( mem @ V6x @ A_27a )
% 5.66/5.92 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V6x ) @ V1s ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ ( ap @ V0f @ V6x ) ) @ V2t ) ) ) )
% 5.66/5.92 & ? [V7g: $i] :
% 5.66/5.92 ( ( mem @ V7g @ ( arr @ A_27b @ A_27a ) )
% 5.66/5.92 & ! [V8y: $i] :
% 5.66/5.92 ( ( mem @ V8y @ A_27b )
% 5.66/5.92 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ V8y ) @ V2t ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ ( ap @ V7g @ V8y ) ) @ V1s ) ) ) )
% 5.66/5.92 & ! [V9y: $i] :
% 5.66/5.92 ( ( mem @ V9y @ A_27b )
% 5.66/5.92 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ V9y ) @ V2t ) )
% 5.66/5.92 => ( ( ap @ V0f @ ( ap @ V7g @ V9y ) )
% 5.66/5.92 = V9y ) ) )
% 5.66/5.92 & ! [V10x: $i] :
% 5.66/5.92 ( ( mem @ V10x @ A_27a )
% 5.66/5.92 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V10x ) @ V1s ) )
% 5.66/5.92 => ( ( ap @ V7g @ ( ap @ V0f @ V10x ) )
% 5.66/5.92 = V10x ) ) ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2Ele__c,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.66/5.92 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ! [V1t: $i] :
% 5.66/5.92 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.66/5.92 => ( ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27a @ A_27b ) @ V0s ) @ V1t ) )
% 5.66/5.92 <=> ? [V2f: $i] :
% 5.66/5.92 ( ( mem @ V2f @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.92 & ! [V3x: $i] :
% 5.66/5.92 ( ( mem @ V3x @ A_27a )
% 5.66/5.92 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3x ) @ V0s ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ ( ap @ V2f @ V3x ) ) @ V1t ) ) ) )
% 5.66/5.92 & ! [V4x: $i] :
% 5.66/5.92 ( ( mem @ V4x @ A_27a )
% 5.66/5.92 => ! [V5y: $i] :
% 5.66/5.92 ( ( mem @ V5y @ A_27a )
% 5.66/5.92 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V4x ) @ V0s ) )
% 5.66/5.92 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V5y ) @ V0s ) )
% 5.66/5.92 & ( ( ap @ V2f @ V4x )
% 5.66/5.92 = ( ap @ V2f @ V5y ) ) )
% 5.66/5.92 => ( V4x = V5y ) ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2Elt__c,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.66/5.92 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ! [V1t: $i] :
% 5.66/5.92 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.66/5.92 => ( ~ ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27b @ A_27a ) @ V1t ) @ V0s ) )
% 5.66/5.92 <=> ( ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27a @ A_27b ) @ V0s ) @ V1t ) )
% 5.66/5.92 & ~ ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27b @ A_27a ) @ V1t ) @ V0s ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2Eeq__c,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.66/5.92 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ! [V1t: $i] :
% 5.66/5.92 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.66/5.92 => ( ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ A_27a @ A_27b ) @ V0s ) @ V1t ) )
% 5.66/5.92 <=> ? [V2f: $i] :
% 5.66/5.92 ( ( mem @ V2f @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.92 & ! [V3x: $i] :
% 5.66/5.92 ( ( mem @ V3x @ A_27a )
% 5.66/5.92 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3x ) @ V0s ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ ( ap @ V2f @ V3x ) ) @ V1t ) ) ) )
% 5.66/5.92 & ! [V4y: $i] :
% 5.66/5.92 ( ( mem @ V4y @ A_27b )
% 5.66/5.92 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ V4y ) @ V1t ) )
% 5.66/5.92 => ( p
% 5.66/5.92 @ ( ap @ ( c_2Ebool_2E_3F_21 @ A_27a )
% 5.66/5.92 @ ( lam @ A_27a
% 5.66/5.92 @ ^ [V5x: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V5x ) @ V0s ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27b ) @ ( ap @ V2f @ V5x ) ) @ V4y ) ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(ax_thm_2Ecardinal_2Ecardgeq__def,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.66/5.92 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ! [V1t: $i] :
% 5.66/5.92 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.66/5.92 => ( ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardgeq @ A_27a @ A_27b ) @ V0s ) @ V1t ) )
% 5.66/5.92 <=> ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27b @ A_27a ) @ V1t ) @ V0s ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2Ege__c,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.66/5.92 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ! [V1t: $i] :
% 5.66/5.92 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.66/5.92 => ( ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardgeq @ A_27a @ A_27b ) @ V0s ) @ V1t ) )
% 5.66/5.92 <=> ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27b @ A_27a ) @ V1t ) @ V0s ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(ax_thm_2Ecardinal_2Ecardgt__def,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.66/5.92 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ! [V1t: $i] :
% 5.66/5.92 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.66/5.92 => ( ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardgt @ A_27a @ A_27b ) @ V0s ) @ V1t ) )
% 5.66/5.92 <=> ~ ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27a @ A_27b ) @ V0s ) @ V1t ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2Egt__c,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.66/5.92 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ! [V1t: $i] :
% 5.66/5.92 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.66/5.92 => ( ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardgt @ A_27a @ A_27b ) @ V0s ) @ V1t ) )
% 5.66/5.92 <=> ~ ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27a @ A_27b ) @ V0s ) @ V1t ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2ELE__C,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.66/5.92 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ! [V1t: $i] :
% 5.66/5.92 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.66/5.92 => ( ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27a @ A_27b ) @ V0s ) @ V1t ) )
% 5.66/5.92 <=> ? [V2g: $i] :
% 5.66/5.92 ( ( mem @ V2g @ ( arr @ A_27b @ A_27a ) )
% 5.66/5.92 & ! [V3x: $i] :
% 5.66/5.92 ( ( mem @ V3x @ A_27a )
% 5.66/5.92 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3x ) @ V0s ) )
% 5.66/5.92 => ? [V4y: $i] :
% 5.66/5.92 ( ( mem @ V4y @ A_27b )
% 5.66/5.92 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ V4y ) @ V1t ) )
% 5.66/5.92 & ( ( ap @ V2g @ V4y )
% 5.66/5.92 = V3x ) ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2EGE__C,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.66/5.92 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ! [V1t: $i] :
% 5.66/5.92 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.66/5.92 => ( ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardgeq @ A_27a @ A_27b ) @ V0s ) @ V1t ) )
% 5.66/5.92 <=> ? [V2f: $i] :
% 5.66/5.92 ( ( mem @ V2f @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.92 & ! [V3y: $i] :
% 5.66/5.92 ( ( mem @ V3y @ A_27b )
% 5.66/5.92 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ V3y ) @ V1t ) )
% 5.66/5.92 => ? [V4x: $i] :
% 5.66/5.92 ( ( mem @ V4x @ A_27a )
% 5.66/5.92 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V4x ) @ V0s ) )
% 5.66/5.92 & ( V3y
% 5.66/5.92 = ( ap @ V2f @ V4x ) ) ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2ECOUNTABLE,axiom,
% 5.66/5.92 ! [A_27a: del,V0t: $i] :
% 5.66/5.92 ( ( mem @ V0t @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ( ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27a ) @ V0t ) )
% 5.66/5.92 <=> ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardgeq @ ty_2Enum_2Enum @ A_27a ) @ ( c_2Epred__set_2EUNIV @ ty_2Enum_2Enum ) ) @ V0t ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2EEQ__C,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.66/5.92 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ! [V1t: $i] :
% 5.66/5.92 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.66/5.92 => ( ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ A_27a @ A_27b ) @ V0s ) @ V1t ) )
% 5.66/5.92 <=> ? [V2R: $i] :
% 5.66/5.92 ( ( mem @ V2R @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ bool ) )
% 5.66/5.92 & ! [V3x: $i] :
% 5.66/5.92 ( ( mem @ V3x @ A_27a )
% 5.66/5.92 => ! [V4y: $i] :
% 5.66/5.92 ( ( mem @ V4y @ A_27b )
% 5.66/5.92 => ( ( p @ ( ap @ V2R @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V3x ) @ V4y ) ) )
% 5.66/5.92 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3x ) @ V0s ) )
% 5.66/5.92 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ V4y ) @ V1t ) ) ) ) ) )
% 5.66/5.92 & ! [V5x: $i] :
% 5.66/5.92 ( ( mem @ V5x @ A_27a )
% 5.66/5.92 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V5x ) @ V0s ) )
% 5.66/5.92 => ( p
% 5.66/5.92 @ ( ap @ ( c_2Ebool_2E_3F_21 @ A_27b )
% 5.66/5.92 @ ( lam @ A_27b
% 5.66/5.92 @ ^ [V6y: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ V6y ) @ V1t ) ) @ ( ap @ V2R @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V5x ) @ V6y ) ) ) ) ) ) ) )
% 5.66/5.92 & ! [V7y: $i] :
% 5.66/5.92 ( ( mem @ V7y @ A_27b )
% 5.66/5.92 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ V7y ) @ V1t ) )
% 5.66/5.92 => ( p
% 5.66/5.92 @ ( ap @ ( c_2Ebool_2E_3F_21 @ A_27a )
% 5.66/5.92 @ ( lam @ A_27a
% 5.66/5.92 @ ^ [V8x: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V8x ) @ V0s ) ) @ ( ap @ V2R @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V8x ) @ V7y ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2ECARD__LE__REFL,axiom,
% 5.66/5.92 ! [A_27a: del,V0s: $i] :
% 5.66/5.92 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27a @ A_27a ) @ V0s ) @ V0s ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2ECARD__LE__TRANS,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del,A_27c: del,V0s: $i] :
% 5.66/5.92 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ! [V1t: $i] :
% 5.66/5.92 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.66/5.92 => ! [V2u: $i] :
% 5.66/5.92 ( ( mem @ V2u @ ( arr @ A_27c @ bool ) )
% 5.66/5.92 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27a @ A_27b ) @ V0s ) @ V1t ) )
% 5.66/5.92 & ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27b @ A_27c ) @ V1t ) @ V2u ) ) )
% 5.66/5.92 => ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27a @ A_27c ) @ V0s ) @ V2u ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2ECARD__LT__REFL,axiom,
% 5.66/5.92 ! [A_27a: del,V0s: $i] :
% 5.66/5.92 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ~ ~ ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27a @ A_27a ) @ V0s ) @ V0s ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2ECARD__LET__TRANS,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del,A_27c: del,V0s: $i] :
% 5.66/5.92 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ! [V1t: $i] :
% 5.66/5.92 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.66/5.92 => ! [V2u: $i] :
% 5.66/5.92 ( ( mem @ V2u @ ( arr @ A_27c @ bool ) )
% 5.66/5.92 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27a @ A_27b ) @ V0s ) @ V1t ) )
% 5.66/5.92 & ~ ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27c @ A_27b ) @ V2u ) @ V1t ) ) )
% 5.66/5.92 => ~ ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27c @ A_27a ) @ V2u ) @ V0s ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2ECARD__LTE__TRANS,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del,A_27c: del,V0s: $i] :
% 5.66/5.92 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ! [V1t: $i] :
% 5.66/5.92 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.66/5.92 => ! [V2u: $i] :
% 5.66/5.92 ( ( mem @ V2u @ ( arr @ A_27c @ bool ) )
% 5.66/5.92 => ( ( ~ ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27b @ A_27a ) @ V1t ) @ V0s ) )
% 5.66/5.92 & ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27b @ A_27c ) @ V1t ) @ V2u ) ) )
% 5.66/5.92 => ~ ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27c @ A_27a ) @ V2u ) @ V0s ) ) ) ) ) ) ).
% 5.66/5.92
% 5.66/5.92 thf(conj_thm_2Ecardinal_2ECARD__LT__TRANS,axiom,
% 5.66/5.92 ! [A_27a: del,A_27b: del,A_27c: del,V0s: $i] :
% 5.66/5.92 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.92 => ! [V1t: $i] :
% 5.66/5.92 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.66/5.92 => ! [V2u: $i] :
% 5.66/5.92 ( ( mem @ V2u @ ( arr @ A_27c @ bool ) )
% 5.66/5.93 => ( ( ~ ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27b @ A_27a ) @ V1t ) @ V0s ) )
% 5.66/5.93 & ~ ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27c @ A_27b ) @ V2u ) @ V1t ) ) )
% 5.66/5.93 => ~ ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27c @ A_27a ) @ V2u ) @ V0s ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECARD__EQ__REFL,axiom,
% 5.66/5.93 ! [A_27a: del,V0s: $i] :
% 5.66/5.93 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ A_27a @ A_27a ) @ V0s ) @ V0s ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECARD__EQ__SYM,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.66/5.93 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ! [V1t: $i] :
% 5.66/5.93 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.66/5.93 => ( ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ A_27a @ A_27b ) @ V0s ) @ V1t ) )
% 5.66/5.93 <=> ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ A_27b @ A_27a ) @ V1t ) @ V0s ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECARD__EQ__IMP__LE,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.66/5.93 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ! [V1t: $i] :
% 5.66/5.93 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.66/5.93 => ( ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ A_27a @ A_27b ) @ V0s ) @ V1t ) )
% 5.66/5.93 => ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27a @ A_27b ) @ V0s ) @ V1t ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECARD__LT__IMP__LE,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.66/5.93 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ! [V1t: $i] :
% 5.66/5.93 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.66/5.93 => ( ~ ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27b @ A_27a ) @ V1t ) @ V0s ) )
% 5.66/5.93 => ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27a @ A_27b ) @ V0s ) @ V1t ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECARD__LE__RELATIONAL,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0R: $i] :
% 5.66/5.93 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.66/5.93 => ! [V1s: $i] :
% 5.66/5.93 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ( ! [V2x: $i] :
% 5.66/5.93 ( ( mem @ V2x @ A_27a )
% 5.66/5.93 => ! [V3y: $i] :
% 5.66/5.93 ( ( mem @ V3y @ A_27b )
% 5.66/5.93 => ! [V4y_27: $i] :
% 5.66/5.93 ( ( mem @ V4y_27 @ A_27b )
% 5.66/5.93 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V1s ) )
% 5.66/5.93 & ( p @ ( ap @ ( ap @ V0R @ V2x ) @ V3y ) )
% 5.66/5.93 & ( p @ ( ap @ ( ap @ V0R @ V2x ) @ V4y_27 ) ) )
% 5.66/5.93 => ( V3y = V4y_27 ) ) ) ) )
% 5.66/5.93 => ( p
% 5.66/5.93 @ ( ap
% 5.66/5.93 @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27b @ A_27a )
% 5.66/5.93 @ ( ap @ ( c_2Epred__set_2EGSPEC @ A_27b @ A_27b )
% 5.66/5.93 @ ( lam @ A_27b
% 5.66/5.93 @ ^ [V5y: $i] :
% 5.66/5.93 ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27b @ bool ) @ V5y )
% 5.66/5.93 @ ( ap @ ( c_2Ebool_2E_3F @ A_27a )
% 5.66/5.93 @ ( lam @ A_27a
% 5.66/5.93 @ ^ [V6x: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V6x ) @ V1s ) ) @ ( ap @ ( ap @ V0R @ V6x ) @ V5y ) ) ) ) ) ) ) )
% 5.66/5.93 @ V1s ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECARD__LE__EMPTY,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.66/5.93 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ( ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27a @ A_27b ) @ V0s ) @ ( c_2Epred__set_2EEMPTY @ A_27b ) ) )
% 5.66/5.93 <=> ( V0s
% 5.66/5.93 = ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECARD__EQ__EMPTY,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.66/5.93 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ( ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ A_27a @ A_27b ) @ V0s ) @ ( c_2Epred__set_2EEMPTY @ A_27b ) ) )
% 5.66/5.93 <=> ( V0s
% 5.66/5.93 = ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECARD__LE__ANTISYM,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.66/5.93 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ! [V1t: $i] :
% 5.66/5.93 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.66/5.93 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27a @ A_27b ) @ V0s ) @ V1t ) )
% 5.66/5.93 & ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27b @ A_27a ) @ V1t ) @ V0s ) ) )
% 5.66/5.93 <=> ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ A_27a @ A_27b ) @ V0s ) @ V1t ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECARD__LE__TOTAL,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.66/5.93 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ! [V1t: $i] :
% 5.66/5.93 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.66/5.93 => ( ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27a @ A_27b ) @ V0s ) @ V1t ) )
% 5.66/5.93 | ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27b @ A_27a ) @ V1t ) @ V0s ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECARD__LET__TOTAL,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.66/5.93 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ! [V1t: $i] :
% 5.66/5.93 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.66/5.93 => ( ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27a @ A_27b ) @ V0s ) @ V1t ) )
% 5.66/5.93 | ~ ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27a @ A_27b ) @ V0s ) @ V1t ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECARD__LTE__TOTAL,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.66/5.93 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ! [V1t: $i] :
% 5.66/5.93 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.66/5.93 => ( ~ ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27b @ A_27a ) @ V1t ) @ V0s ) )
% 5.66/5.93 | ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27b @ A_27a ) @ V1t ) @ V0s ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECARD__LT__TOTAL,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.66/5.93 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ! [V1t: $i] :
% 5.66/5.93 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.66/5.93 => ( ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ A_27a @ A_27b ) @ V0s ) @ V1t ) )
% 5.66/5.93 | ~ ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27b @ A_27a ) @ V1t ) @ V0s ) )
% 5.66/5.93 | ~ ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27a @ A_27b ) @ V0s ) @ V1t ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECARD__NOT__LE,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.66/5.93 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ! [V1t: $i] :
% 5.66/5.93 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.66/5.93 => ( ~ ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27a @ A_27b ) @ V0s ) @ V1t ) )
% 5.66/5.93 <=> ~ ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27a @ A_27b ) @ V0s ) @ V1t ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECARD__NOT__LT,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.66/5.93 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ! [V1t: $i] :
% 5.66/5.93 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.66/5.93 => ( ~ ~ ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27b @ A_27a ) @ V1t ) @ V0s ) )
% 5.66/5.93 <=> ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27b @ A_27a ) @ V1t ) @ V0s ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECARD__LT__LE,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.66/5.93 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ! [V1t: $i] :
% 5.66/5.93 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.66/5.93 => ( ~ ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27b @ A_27a ) @ V1t ) @ V0s ) )
% 5.66/5.93 <=> ( ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27a @ A_27b ) @ V0s ) @ V1t ) )
% 5.66/5.93 & ~ ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ A_27a @ A_27b ) @ V0s ) @ V1t ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECARD__LE__LT,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.66/5.93 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ! [V1t: $i] :
% 5.66/5.93 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.66/5.93 => ( ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27a @ A_27b ) @ V0s ) @ V1t ) )
% 5.66/5.93 <=> ( ~ ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27b @ A_27a ) @ V1t ) @ V0s ) )
% 5.66/5.93 | ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ A_27a @ A_27b ) @ V0s ) @ V1t ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECARD__LE__CONG,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0s: $i] :
% 5.66/5.93 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ! [V1s_27: $i] :
% 5.66/5.93 ( ( mem @ V1s_27 @ ( arr @ A_27b @ bool ) )
% 5.66/5.93 => ! [V2t: $i] :
% 5.66/5.93 ( ( mem @ V2t @ ( arr @ A_27c @ bool ) )
% 5.66/5.93 => ! [V3t_27: $i] :
% 5.66/5.93 ( ( mem @ V3t_27 @ ( arr @ A_27d @ bool ) )
% 5.66/5.93 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ A_27a @ A_27b ) @ V0s ) @ V1s_27 ) )
% 5.66/5.93 & ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ A_27c @ A_27d ) @ V2t ) @ V3t_27 ) ) )
% 5.66/5.93 => ( ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27a @ A_27c ) @ V0s ) @ V2t ) )
% 5.66/5.93 <=> ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27b @ A_27d ) @ V1s_27 ) @ V3t_27 ) ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECARD__LT__CONG,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0s: $i] :
% 5.66/5.93 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ! [V1s_27: $i] :
% 5.66/5.93 ( ( mem @ V1s_27 @ ( arr @ A_27b @ bool ) )
% 5.66/5.93 => ! [V2t: $i] :
% 5.66/5.93 ( ( mem @ V2t @ ( arr @ A_27c @ bool ) )
% 5.66/5.93 => ! [V3t_27: $i] :
% 5.66/5.93 ( ( mem @ V3t_27 @ ( arr @ A_27d @ bool ) )
% 5.66/5.93 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ A_27a @ A_27b ) @ V0s ) @ V1s_27 ) )
% 5.66/5.93 & ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ A_27c @ A_27d ) @ V2t ) @ V3t_27 ) ) )
% 5.66/5.93 => ( ~ ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27c @ A_27a ) @ V2t ) @ V0s ) )
% 5.66/5.93 <=> ~ ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27d @ A_27b ) @ V3t_27 ) @ V1s_27 ) ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECARD__EQ__TRANS,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,A_27c: del,V0s: $i] :
% 5.66/5.93 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ! [V1t: $i] :
% 5.66/5.93 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.66/5.93 => ! [V2u: $i] :
% 5.66/5.93 ( ( mem @ V2u @ ( arr @ A_27c @ bool ) )
% 5.66/5.93 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ A_27a @ A_27b ) @ V0s ) @ V1t ) )
% 5.66/5.93 & ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ A_27b @ A_27c ) @ V1t ) @ V2u ) ) )
% 5.66/5.93 => ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ A_27a @ A_27c ) @ V0s ) @ V2u ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECARD__EQ__CONG,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0s: $i] :
% 5.66/5.93 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ! [V1s_27: $i] :
% 5.66/5.93 ( ( mem @ V1s_27 @ ( arr @ A_27b @ bool ) )
% 5.66/5.93 => ! [V2t: $i] :
% 5.66/5.93 ( ( mem @ V2t @ ( arr @ A_27c @ bool ) )
% 5.66/5.93 => ! [V3t_27: $i] :
% 5.66/5.93 ( ( mem @ V3t_27 @ ( arr @ A_27d @ bool ) )
% 5.66/5.93 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ A_27a @ A_27b ) @ V0s ) @ V1s_27 ) )
% 5.66/5.93 & ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ A_27c @ A_27d ) @ V2t ) @ V3t_27 ) ) )
% 5.66/5.93 => ( ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ A_27a @ A_27c ) @ V0s ) @ V2t ) )
% 5.66/5.93 <=> ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ A_27b @ A_27d ) @ V1s_27 ) @ V3t_27 ) ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2EINFINITE__CARD__LE,axiom,
% 5.66/5.93 ! [A_27a: del,V0s: $i] :
% 5.66/5.93 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ( ~ ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.66/5.93 <=> ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ ty_2Enum_2Enum @ A_27a ) @ ( c_2Epred__set_2EUNIV @ ty_2Enum_2Enum ) ) @ V0s ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2EFINITE__CARD__LT,axiom,
% 5.66/5.93 ! [A_27a: del,V0s: $i] :
% 5.66/5.93 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.66/5.93 <=> ~ ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ ty_2Enum_2Enum @ A_27a ) @ ( c_2Epred__set_2EUNIV @ ty_2Enum_2Enum ) ) @ V0s ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECARD__LE__SUBSET,axiom,
% 5.66/5.93 ! [A_27a: del,V0s: $i] :
% 5.66/5.93 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ! [V1t: $i] :
% 5.66/5.93 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V0s ) @ V1t ) )
% 5.66/5.93 => ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27a @ A_27a ) @ V0s ) @ V1t ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECARD__LE__UNIV,axiom,
% 5.66/5.93 ! [A_27a: del,V0s: $i] :
% 5.66/5.93 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27a @ A_27a ) @ V0s ) @ ( c_2Epred__set_2EUNIV @ A_27a ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECARD__LE__EQ__SUBSET,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.66/5.93 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ! [V1t: $i] :
% 5.66/5.93 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.66/5.93 => ( ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27a @ A_27b ) @ V0s ) @ V1t ) )
% 5.66/5.93 <=> ? [V2u: $i] :
% 5.66/5.93 ( ( mem @ V2u @ ( arr @ A_27b @ bool ) )
% 5.66/5.93 & ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27b ) @ V2u ) @ V1t ) )
% 5.66/5.93 & ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ A_27a @ A_27b ) @ V0s ) @ V2u ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECARD__INFINITE__CONG,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.66/5.93 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ! [V1t: $i] :
% 5.66/5.93 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.66/5.93 => ( ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ A_27a @ A_27b ) @ V0s ) @ V1t ) )
% 5.66/5.93 => ( ~ ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.66/5.93 <=> ~ ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27b ) @ V1t ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECARD__FINITE__CONG,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.66/5.93 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ! [V1t: $i] :
% 5.66/5.93 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.66/5.93 => ( ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ A_27a @ A_27b ) @ V0s ) @ V1t ) )
% 5.66/5.93 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.66/5.93 <=> ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27b ) @ V1t ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECARD__LE__FINITE,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.66/5.93 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ! [V1t: $i] :
% 5.66/5.93 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.66/5.93 => ( ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27b ) @ V1t ) )
% 5.66/5.93 & ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27a @ A_27b ) @ V0s ) @ V1t ) ) )
% 5.66/5.93 => ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECARD__EQ__FINITE,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.66/5.93 ( ( mem @ V0s @ ( arr @ A_27b @ bool ) )
% 5.66/5.93 => ! [V1t: $i] :
% 5.66/5.93 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ( ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V1t ) )
% 5.66/5.93 & ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ A_27b @ A_27a ) @ V0s ) @ V1t ) ) )
% 5.66/5.93 => ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27b ) @ V0s ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECARD__LE__INFINITE,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.66/5.93 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ! [V1t: $i] :
% 5.66/5.93 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.66/5.93 => ( ( ~ ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.66/5.93 & ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27a @ A_27b ) @ V0s ) @ V1t ) ) )
% 5.66/5.93 => ~ ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27b ) @ V1t ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECARD__LT__FINITE__INFINITE,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.66/5.93 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ! [V1t: $i] :
% 5.66/5.93 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.66/5.93 => ( ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.66/5.93 & ~ ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27b ) @ V1t ) ) )
% 5.66/5.93 => ~ ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27b @ A_27a ) @ V1t ) @ V0s ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECARD__LE__CARD__IMP,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.66/5.93 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ! [V1t: $i] :
% 5.66/5.93 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.66/5.93 => ( ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27b ) @ V1t ) )
% 5.66/5.93 & ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27a @ A_27b ) @ V0s ) @ V1t ) ) )
% 5.66/5.93 => ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ V0s ) ) @ ( ap @ ( c_2Epred__set_2ECARD @ A_27b ) @ V1t ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECARD__EQ__CARD__IMP,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.66/5.93 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ! [V1t: $i] :
% 5.66/5.93 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.66/5.93 => ( ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27b ) @ V1t ) )
% 5.66/5.93 & ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ A_27a @ A_27b ) @ V0s ) @ V1t ) ) )
% 5.66/5.93 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ V0s ) )
% 5.66/5.93 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Epred__set_2ECARD @ A_27b ) @ V1t ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECARD__LE__CARD,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.66/5.93 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ! [V1t: $i] :
% 5.66/5.93 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.66/5.93 => ( ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.66/5.93 & ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27b ) @ V1t ) ) )
% 5.66/5.93 => ( ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27a @ A_27b ) @ V0s ) @ V1t ) )
% 5.66/5.93 <=> ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ V0s ) ) @ ( ap @ ( c_2Epred__set_2ECARD @ A_27b ) @ V1t ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECARD__EQ__CARD,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.66/5.93 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ! [V1t: $i] :
% 5.66/5.93 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.66/5.93 => ( ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.66/5.93 & ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27b ) @ V1t ) ) )
% 5.66/5.93 => ( ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ A_27a @ A_27b ) @ V0s ) @ V1t ) )
% 5.66/5.93 <=> ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ V0s ) )
% 5.66/5.93 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Epred__set_2ECARD @ A_27b ) @ V1t ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECARD__LT__CARD,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.66/5.93 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ! [V1t: $i] :
% 5.66/5.93 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.66/5.93 => ( ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.66/5.93 & ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27b ) @ V1t ) ) )
% 5.66/5.93 => ( ~ ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27b @ A_27a ) @ V1t ) @ V0s ) )
% 5.66/5.93 <=> ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ V0s ) ) @ ( ap @ ( c_2Epred__set_2ECARD @ A_27b ) @ V1t ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECARD__HAS__SIZE__CONG,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.66/5.93 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ! [V1t: $i] :
% 5.66/5.93 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.66/5.93 => ! [V2n: tp__ty_2Enum_2Enum] :
% 5.66/5.93 ( ( ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2EHAS__SIZE @ A_27a ) @ V0s ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) )
% 5.66/5.93 & ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ A_27a @ A_27b ) @ V0s ) @ V1t ) ) )
% 5.66/5.93 => ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2EHAS__SIZE @ A_27b ) @ V1t ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECARD__LE__IMAGE,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.93 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V1s: $i] :
% 5.66/5.93 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27b @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ A_27b ) @ V0f ) @ V1s ) ) @ V1s ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECARD__LE__IMAGE__GEN,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.93 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V1s: $i] :
% 5.66/5.93 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ! [V2t: $i] :
% 5.66/5.93 ( ( mem @ V2t @ ( arr @ A_27b @ bool ) )
% 5.66/5.93 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27b ) @ V2t ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ A_27b ) @ V0f ) @ V1s ) ) )
% 5.66/5.93 => ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27b @ A_27a ) @ V2t ) @ V1s ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECARD__EQ__IMAGE,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.93 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V1s: $i] :
% 5.66/5.93 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ( ! [V2x: $i] :
% 5.66/5.93 ( ( mem @ V2x @ A_27a )
% 5.66/5.93 => ! [V3y: $i] :
% 5.66/5.93 ( ( mem @ V3y @ A_27a )
% 5.66/5.93 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V1s ) )
% 5.66/5.93 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3y ) @ V1s ) )
% 5.66/5.93 & ( ( ap @ V0f @ V2x )
% 5.66/5.93 = ( ap @ V0f @ V3y ) ) )
% 5.66/5.93 => ( V2x = V3y ) ) ) )
% 5.66/5.93 => ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ A_27b @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ A_27b ) @ V0f ) @ V1s ) ) @ V1s ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(ax_thm_2Ecardinal_2Eadd__c,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.66/5.93 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ! [V1t: $i] :
% 5.66/5.93 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.66/5.93 => ( ( ap @ ( ap @ ( c_2Ecardinal_2E_2B__c @ A_27a @ A_27b ) @ V0s ) @ V1t )
% 5.66/5.93 = ( ap
% 5.66/5.93 @ ( ap @ ( c_2Epred__set_2EUNION @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) )
% 5.66/5.93 @ ( ap @ ( c_2Epred__set_2EGSPEC @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) @ A_27a )
% 5.66/5.93 @ ( lam @ A_27a
% 5.66/5.93 @ ^ [V2x: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) @ bool ) @ ( ap @ ( c_2Esum_2EINL @ A_27a @ A_27b ) @ V2x ) ) @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V0s ) ) ) ) )
% 5.66/5.93 @ ( ap @ ( c_2Epred__set_2EGSPEC @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) @ A_27b )
% 5.66/5.93 @ ( lam @ A_27b
% 5.66/5.93 @ ^ [V3y: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) @ bool ) @ ( ap @ ( c_2Esum_2EINR @ A_27a @ A_27b ) @ V3y ) ) @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ V3y ) @ V1t ) ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2Emul__c,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.66/5.93 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ! [V1t: $i] :
% 5.66/5.93 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.66/5.93 => ( ( ap @ ( ap @ ( c_2Epred__set_2ECROSS @ A_27a @ A_27b ) @ V0s ) @ V1t )
% 5.66/5.93 = ( ap @ ( c_2Epred__set_2EGSPEC @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) )
% 5.66/5.93 @ ( ap @ ( c_2Epair_2EUNCURRY @ A_27a @ A_27b @ ( ty_2Epair_2Eprod @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ bool ) )
% 5.66/5.93 @ ( lam @ A_27a
% 5.66/5.93 @ ^ [V2x: $i] :
% 5.66/5.93 ( lam @ A_27b
% 5.66/5.93 @ ^ [V3y: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ bool ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V2x ) @ V3y ) ) @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V0s ) ) @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ V3y ) @ V1t ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECARD__LE__ADD,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0s: $i] :
% 5.66/5.93 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ! [V1s_27: $i] :
% 5.66/5.93 ( ( mem @ V1s_27 @ ( arr @ A_27b @ bool ) )
% 5.66/5.93 => ! [V2t: $i] :
% 5.66/5.93 ( ( mem @ V2t @ ( arr @ A_27c @ bool ) )
% 5.66/5.93 => ! [V3t_27: $i] :
% 5.66/5.93 ( ( mem @ V3t_27 @ ( arr @ A_27d @ bool ) )
% 5.66/5.93 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27a @ A_27b ) @ V0s ) @ V1s_27 ) )
% 5.66/5.93 & ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27c @ A_27d ) @ V2t ) @ V3t_27 ) ) )
% 5.66/5.93 => ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ ( ty_2Esum_2Esum @ A_27a @ A_27c ) @ ( ty_2Esum_2Esum @ A_27b @ A_27d ) ) @ ( ap @ ( ap @ ( c_2Ecardinal_2E_2B__c @ A_27a @ A_27c ) @ V0s ) @ V2t ) ) @ ( ap @ ( ap @ ( c_2Ecardinal_2E_2B__c @ A_27b @ A_27d ) @ V1s_27 ) @ V3t_27 ) ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECARD__LE__MUL,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0s: $i] :
% 5.66/5.93 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ! [V1s_27: $i] :
% 5.66/5.93 ( ( mem @ V1s_27 @ ( arr @ A_27b @ bool ) )
% 5.66/5.93 => ! [V2t: $i] :
% 5.66/5.93 ( ( mem @ V2t @ ( arr @ A_27c @ bool ) )
% 5.66/5.93 => ! [V3t_27: $i] :
% 5.66/5.93 ( ( mem @ V3t_27 @ ( arr @ A_27d @ bool ) )
% 5.66/5.93 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27a @ A_27b ) @ V0s ) @ V1s_27 ) )
% 5.66/5.93 & ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27c @ A_27d ) @ V2t ) @ V3t_27 ) ) )
% 5.66/5.93 => ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ ( ty_2Epair_2Eprod @ A_27a @ A_27c ) @ ( ty_2Epair_2Eprod @ A_27b @ A_27d ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2ECROSS @ A_27a @ A_27c ) @ V0s ) @ V2t ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2ECROSS @ A_27b @ A_27d ) @ V1s_27 ) @ V3t_27 ) ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECARD__ADD__CONG,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0s: $i] :
% 5.66/5.93 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ! [V1s_27: $i] :
% 5.66/5.93 ( ( mem @ V1s_27 @ ( arr @ A_27b @ bool ) )
% 5.66/5.93 => ! [V2t: $i] :
% 5.66/5.93 ( ( mem @ V2t @ ( arr @ A_27c @ bool ) )
% 5.66/5.93 => ! [V3t_27: $i] :
% 5.66/5.93 ( ( mem @ V3t_27 @ ( arr @ A_27d @ bool ) )
% 5.66/5.93 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ A_27a @ A_27b ) @ V0s ) @ V1s_27 ) )
% 5.66/5.93 & ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ A_27c @ A_27d ) @ V2t ) @ V3t_27 ) ) )
% 5.66/5.93 => ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ ( ty_2Esum_2Esum @ A_27a @ A_27c ) @ ( ty_2Esum_2Esum @ A_27b @ A_27d ) ) @ ( ap @ ( ap @ ( c_2Ecardinal_2E_2B__c @ A_27a @ A_27c ) @ V0s ) @ V2t ) ) @ ( ap @ ( ap @ ( c_2Ecardinal_2E_2B__c @ A_27b @ A_27d ) @ V1s_27 ) @ V3t_27 ) ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECARD__MUL__CONG,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0s: $i] :
% 5.66/5.93 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ! [V1s_27: $i] :
% 5.66/5.93 ( ( mem @ V1s_27 @ ( arr @ A_27b @ bool ) )
% 5.66/5.93 => ! [V2t: $i] :
% 5.66/5.93 ( ( mem @ V2t @ ( arr @ A_27c @ bool ) )
% 5.66/5.93 => ! [V3t_27: $i] :
% 5.66/5.93 ( ( mem @ V3t_27 @ ( arr @ A_27d @ bool ) )
% 5.66/5.93 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ A_27a @ A_27b ) @ V0s ) @ V1s_27 ) )
% 5.66/5.93 & ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ A_27c @ A_27d ) @ V2t ) @ V3t_27 ) ) )
% 5.66/5.93 => ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ ( ty_2Epair_2Eprod @ A_27a @ A_27c ) @ ( ty_2Epair_2Eprod @ A_27b @ A_27d ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2ECROSS @ A_27a @ A_27c ) @ V0s ) @ V2t ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2ECROSS @ A_27b @ A_27d ) @ V1s_27 ) @ V3t_27 ) ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2EIN__CARD__ADD,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.66/5.93 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ! [V1t: $i] :
% 5.66/5.93 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.66/5.93 => ( ! [V2x: $i] :
% 5.66/5.93 ( ( mem @ V2x @ A_27a )
% 5.66/5.93 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) ) @ ( ap @ ( c_2Esum_2EINL @ A_27a @ A_27b ) @ V2x ) ) @ ( ap @ ( ap @ ( c_2Ecardinal_2E_2B__c @ A_27a @ A_27b ) @ V0s ) @ V1t ) ) )
% 5.66/5.93 <=> ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V0s ) ) ) )
% 5.66/5.93 & ! [V3y: $i] :
% 5.66/5.93 ( ( mem @ V3y @ A_27b )
% 5.66/5.93 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) ) @ ( ap @ ( c_2Esum_2EINR @ A_27a @ A_27b ) @ V3y ) ) @ ( ap @ ( ap @ ( c_2Ecardinal_2E_2B__c @ A_27a @ A_27b ) @ V0s ) @ V1t ) ) )
% 5.66/5.93 <=> ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ V3y ) @ V1t ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2EIN__CARD__MUL,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.66/5.93 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ! [V1t: $i] :
% 5.66/5.93 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.66/5.93 => ! [V2x: $i] :
% 5.66/5.93 ( ( mem @ V2x @ A_27a )
% 5.66/5.93 => ! [V3y: $i] :
% 5.66/5.93 ( ( mem @ V3y @ A_27b )
% 5.66/5.93 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V2x ) @ V3y ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2ECROSS @ A_27a @ A_27b ) @ V0s ) @ V1t ) ) )
% 5.66/5.93 <=> ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V0s ) )
% 5.66/5.93 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ V3y ) @ V1t ) ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECARD__LE__SQUARE,axiom,
% 5.66/5.93 ! [A_27a: del,V0s: $i] :
% 5.66/5.93 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27a @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ V0s ) @ ( ap @ ( ap @ ( c_2Epred__set_2ECROSS @ A_27a @ A_27a ) @ V0s ) @ V0s ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECARD__SQUARE__NUM,axiom,
% 5.66/5.93 p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ ( ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ ( c_2Epred__set_2ECROSS @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) @ ( c_2Epred__set_2EUNIV @ ty_2Enum_2Enum ) ) @ ( c_2Epred__set_2EUNIV @ ty_2Enum_2Enum ) ) ) @ ( c_2Epred__set_2EUNIV @ ty_2Enum_2Enum ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2EUNION__LE__ADD__C,axiom,
% 5.66/5.93 ! [A_27a: del,V0s: $i] :
% 5.66/5.93 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ! [V1t: $i] :
% 5.66/5.93 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27a @ ( ty_2Esum_2Esum @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ V0s ) @ V1t ) ) @ ( ap @ ( ap @ ( c_2Ecardinal_2E_2B__c @ A_27a @ A_27a ) @ V0s ) @ V1t ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECARD__ADD__C,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.66/5.93 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ! [V1t: $i] :
% 5.66/5.93 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.66/5.93 => ( ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.66/5.93 & ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27b ) @ V1t ) ) )
% 5.66/5.93 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Epred__set_2ECARD @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Ecardinal_2E_2B__c @ A_27a @ A_27b ) @ V0s ) @ V1t ) ) )
% 5.66/5.93 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ V0s ) ) @ ( ap @ ( c_2Epred__set_2ECARD @ A_27b ) @ V1t ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECARD__ADD__SYM,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.66/5.93 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ! [V1t: $i] :
% 5.66/5.93 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.66/5.93 => ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) @ ( ty_2Esum_2Esum @ A_27b @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Ecardinal_2E_2B__c @ A_27a @ A_27b ) @ V0s ) @ V1t ) ) @ ( ap @ ( ap @ ( c_2Ecardinal_2E_2B__c @ A_27b @ A_27a ) @ V1t ) @ V0s ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECARD__ADD__ASSOC,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,A_27c: del,V0s: $i] :
% 5.66/5.93 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ! [V1t: $i] :
% 5.66/5.93 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.66/5.93 => ! [V2u: $i] :
% 5.66/5.93 ( ( mem @ V2u @ ( arr @ A_27c @ bool ) )
% 5.66/5.93 => ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ ( ty_2Esum_2Esum @ A_27a @ ( ty_2Esum_2Esum @ A_27b @ A_27c ) ) @ ( ty_2Esum_2Esum @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) @ A_27c ) ) @ ( ap @ ( ap @ ( c_2Ecardinal_2E_2B__c @ A_27a @ ( ty_2Esum_2Esum @ A_27b @ A_27c ) ) @ V0s ) @ ( ap @ ( ap @ ( c_2Ecardinal_2E_2B__c @ A_27b @ A_27c ) @ V1t ) @ V2u ) ) ) @ ( ap @ ( ap @ ( c_2Ecardinal_2E_2B__c @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) @ A_27c ) @ ( ap @ ( ap @ ( c_2Ecardinal_2E_2B__c @ A_27a @ A_27b ) @ V0s ) @ V1t ) ) @ V2u ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECARD__MUL__SYM,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.66/5.93 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ! [V1t: $i] :
% 5.66/5.93 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.66/5.93 => ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ ( ty_2Epair_2Eprod @ A_27b @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2ECROSS @ A_27a @ A_27b ) @ V0s ) @ V1t ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2ECROSS @ A_27b @ A_27a ) @ V1t ) @ V0s ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECARD__MUL__ASSOC,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,A_27c: del,V0s: $i] :
% 5.66/5.93 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ! [V1t: $i] :
% 5.66/5.93 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.66/5.93 => ! [V2u: $i] :
% 5.66/5.93 ( ( mem @ V2u @ ( arr @ A_27c @ bool ) )
% 5.66/5.93 => ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27c ) ) @ ( ty_2Epair_2Eprod @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ A_27c ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2ECROSS @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27c ) ) @ V0s ) @ ( ap @ ( ap @ ( c_2Epred__set_2ECROSS @ A_27b @ A_27c ) @ V1t ) @ V2u ) ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2ECROSS @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ A_27c ) @ ( ap @ ( ap @ ( c_2Epred__set_2ECROSS @ A_27a @ A_27b ) @ V0s ) @ V1t ) ) @ V2u ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECARD__LDISTRIB,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,A_27c: del,V0s: $i] :
% 5.66/5.93 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ! [V1t: $i] :
% 5.66/5.93 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.66/5.93 => ! [V2u: $i] :
% 5.66/5.93 ( ( mem @ V2u @ ( arr @ A_27c @ bool ) )
% 5.66/5.93 => ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ ( ty_2Epair_2Eprod @ A_27a @ ( ty_2Esum_2Esum @ A_27b @ A_27c ) ) @ ( ty_2Esum_2Esum @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ ( ty_2Epair_2Eprod @ A_27a @ A_27c ) ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2ECROSS @ A_27a @ ( ty_2Esum_2Esum @ A_27b @ A_27c ) ) @ V0s ) @ ( ap @ ( ap @ ( c_2Ecardinal_2E_2B__c @ A_27b @ A_27c ) @ V1t ) @ V2u ) ) ) @ ( ap @ ( ap @ ( c_2Ecardinal_2E_2B__c @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ ( ty_2Epair_2Eprod @ A_27a @ A_27c ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2ECROSS @ A_27a @ A_27b ) @ V0s ) @ V1t ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2ECROSS @ A_27a @ A_27c ) @ V0s ) @ V2u ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECARD__RDISTRIB,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,A_27c: del,V0s: $i] :
% 5.66/5.93 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ! [V1t: $i] :
% 5.66/5.93 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.66/5.93 => ! [V2u: $i] :
% 5.66/5.93 ( ( mem @ V2u @ ( arr @ A_27c @ bool ) )
% 5.66/5.93 => ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ ( ty_2Epair_2Eprod @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) @ A_27c ) @ ( ty_2Esum_2Esum @ ( ty_2Epair_2Eprod @ A_27a @ A_27c ) @ ( ty_2Epair_2Eprod @ A_27b @ A_27c ) ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2ECROSS @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) @ A_27c ) @ ( ap @ ( ap @ ( c_2Ecardinal_2E_2B__c @ A_27a @ A_27b ) @ V0s ) @ V1t ) ) @ V2u ) ) @ ( ap @ ( ap @ ( c_2Ecardinal_2E_2B__c @ ( ty_2Epair_2Eprod @ A_27a @ A_27c ) @ ( ty_2Epair_2Eprod @ A_27b @ A_27c ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2ECROSS @ A_27a @ A_27c ) @ V0s ) @ V2u ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2ECROSS @ A_27b @ A_27c ) @ V1t ) @ V2u ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECARD__LE__ADDR,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.66/5.93 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ! [V1t: $i] :
% 5.66/5.93 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.66/5.93 => ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27a @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) ) @ V0s ) @ ( ap @ ( ap @ ( c_2Ecardinal_2E_2B__c @ A_27a @ A_27b ) @ V0s ) @ V1t ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECARD__LE__ADDL,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.66/5.93 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ! [V1t: $i] :
% 5.66/5.93 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.66/5.93 => ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27b @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) ) @ V1t ) @ ( ap @ ( ap @ ( c_2Ecardinal_2E_2B__c @ A_27a @ A_27b ) @ V0s ) @ V1t ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECARD__ADD__LE__MUL__INFINITE,axiom,
% 5.66/5.93 ! [A_27a: del,V0s: $i] :
% 5.66/5.93 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ( ~ ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.66/5.93 => ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ ( ty_2Esum_2Esum @ A_27a @ A_27a ) @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Ecardinal_2E_2B__c @ A_27a @ A_27a ) @ V0s ) @ V0s ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2ECROSS @ A_27a @ A_27a ) @ V0s ) @ V0s ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECARD__DISJOINT__UNION,axiom,
% 5.66/5.93 ! [A_27a: del,V0s: $i] :
% 5.66/5.93 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ! [V1t: $i] :
% 5.66/5.93 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ( ( ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ V0s ) @ V1t )
% 5.66/5.93 = ( c_2Epred__set_2EEMPTY @ A_27a ) )
% 5.66/5.93 => ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ A_27a @ ( ty_2Esum_2Esum @ A_27a @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ V0s ) @ V1t ) ) @ ( ap @ ( ap @ ( c_2Ecardinal_2E_2B__c @ A_27a @ A_27a ) @ V0s ) @ V1t ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECARD__SQUARE__INFINITE,axiom,
% 5.66/5.93 ! [A_27a: del,V0s: $i] :
% 5.66/5.93 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ( ~ ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.66/5.93 => ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ ( ty_2Epair_2Eprod @ A_27a @ A_27a ) @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2ECROSS @ A_27a @ A_27a ) @ V0s ) @ V0s ) ) @ V0s ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECARD__ADD__FINITE,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.66/5.93 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ! [V1t: $i] :
% 5.66/5.93 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.66/5.93 => ( ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.66/5.93 & ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27b ) @ V1t ) ) )
% 5.66/5.93 => ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Ecardinal_2E_2B__c @ A_27a @ A_27b ) @ V0s ) @ V1t ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECARD__ADD__FINITE__EQ,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.66/5.93 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ! [V1t: $i] :
% 5.66/5.93 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.66/5.93 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Ecardinal_2E_2B__c @ A_27a @ A_27b ) @ V0s ) @ V1t ) ) )
% 5.66/5.93 <=> ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.66/5.93 & ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27b ) @ V1t ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECARD__MUL__FINITE,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.66/5.93 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ! [V1t: $i] :
% 5.66/5.93 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.66/5.93 => ( ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.66/5.93 & ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27b ) @ V1t ) ) )
% 5.66/5.93 => ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2ECROSS @ A_27a @ A_27b ) @ V0s ) @ V1t ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECARD__MUL__ABSORB__LE,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.66/5.93 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ! [V1t: $i] :
% 5.66/5.93 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.66/5.93 => ( ( ~ ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27b ) @ V1t ) )
% 5.66/5.93 & ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27a @ A_27b ) @ V0s ) @ V1t ) ) )
% 5.66/5.93 => ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ A_27b ) @ ( ap @ ( ap @ ( c_2Epred__set_2ECROSS @ A_27a @ A_27b ) @ V0s ) @ V1t ) ) @ V1t ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECARD__MUL2__ABSORB__LE,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,A_27c: del,V0s: $i] :
% 5.66/5.93 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ! [V1t: $i] :
% 5.66/5.93 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.66/5.93 => ! [V2u: $i] :
% 5.66/5.93 ( ( mem @ V2u @ ( arr @ A_27c @ bool ) )
% 5.66/5.93 => ( ( ~ ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27c ) @ V2u ) )
% 5.66/5.93 & ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27a @ A_27c ) @ V0s ) @ V2u ) )
% 5.66/5.93 & ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27b @ A_27c ) @ V1t ) @ V2u ) ) )
% 5.66/5.93 => ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ A_27c ) @ ( ap @ ( ap @ ( c_2Epred__set_2ECROSS @ A_27a @ A_27b ) @ V0s ) @ V1t ) ) @ V2u ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECARD__ADD__ABSORB__LE,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.66/5.93 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ! [V1t: $i] :
% 5.66/5.93 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.66/5.93 => ( ( ~ ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27b ) @ V1t ) )
% 5.66/5.93 & ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27a @ A_27b ) @ V0s ) @ V1t ) ) )
% 5.66/5.93 => ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) @ A_27b ) @ ( ap @ ( ap @ ( c_2Ecardinal_2E_2B__c @ A_27a @ A_27b ) @ V0s ) @ V1t ) ) @ V1t ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECARD__ADD2__ABSORB__LE,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,A_27c: del,V0s: $i] :
% 5.66/5.93 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ! [V1t: $i] :
% 5.66/5.93 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.66/5.93 => ! [V2u: $i] :
% 5.66/5.93 ( ( mem @ V2u @ ( arr @ A_27c @ bool ) )
% 5.66/5.93 => ( ( ~ ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27c ) @ V2u ) )
% 5.66/5.93 & ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27a @ A_27c ) @ V0s ) @ V2u ) )
% 5.66/5.93 & ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27b @ A_27c ) @ V1t ) @ V2u ) ) )
% 5.66/5.93 => ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) @ A_27c ) @ ( ap @ ( ap @ ( c_2Ecardinal_2E_2B__c @ A_27a @ A_27b ) @ V0s ) @ V1t ) ) @ V2u ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECARD__MUL__ABSORB,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.66/5.93 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ! [V1t: $i] :
% 5.66/5.93 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.66/5.93 => ( ( ~ ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27b ) @ V1t ) )
% 5.66/5.93 & ( V0s
% 5.66/5.93 != ( c_2Epred__set_2EEMPTY @ A_27a ) )
% 5.66/5.93 & ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27a @ A_27b ) @ V0s ) @ V1t ) ) )
% 5.66/5.93 => ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ A_27b ) @ ( ap @ ( ap @ ( c_2Epred__set_2ECROSS @ A_27a @ A_27b ) @ V0s ) @ V1t ) ) @ V1t ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECARD__ADD__ABSORB,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.66/5.93 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ! [V1t: $i] :
% 5.66/5.93 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.66/5.93 => ( ( ~ ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27b ) @ V1t ) )
% 5.66/5.93 & ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27a @ A_27b ) @ V0s ) @ V1t ) ) )
% 5.66/5.93 => ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) @ A_27b ) @ ( ap @ ( ap @ ( c_2Ecardinal_2E_2B__c @ A_27a @ A_27b ) @ V0s ) @ V1t ) ) @ V1t ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECARD__ADD2__ABSORB__LT,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,A_27c: del,V0s: $i] :
% 5.66/5.93 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ! [V1t: $i] :
% 5.66/5.93 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.66/5.93 => ! [V2u: $i] :
% 5.66/5.93 ( ( mem @ V2u @ ( arr @ A_27c @ bool ) )
% 5.66/5.93 => ( ( ~ ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27c ) @ V2u ) )
% 5.66/5.93 & ~ ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27c @ A_27a ) @ V2u ) @ V0s ) )
% 5.66/5.93 & ~ ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27c @ A_27b ) @ V2u ) @ V1t ) ) )
% 5.66/5.93 => ~ ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27c @ ( ty_2Esum_2Esum @ A_27a @ A_27b ) ) @ V2u ) @ ( ap @ ( ap @ ( c_2Ecardinal_2E_2B__c @ A_27a @ A_27b ) @ V0s ) @ V1t ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECARD__LT__ADD,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0s: $i] :
% 5.66/5.93 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ! [V1s_27: $i] :
% 5.66/5.93 ( ( mem @ V1s_27 @ ( arr @ A_27b @ bool ) )
% 5.66/5.93 => ! [V2t: $i] :
% 5.66/5.93 ( ( mem @ V2t @ ( arr @ A_27c @ bool ) )
% 5.66/5.93 => ! [V3t_27: $i] :
% 5.66/5.93 ( ( mem @ V3t_27 @ ( arr @ A_27d @ bool ) )
% 5.66/5.93 => ( ( ~ ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27b @ A_27a ) @ V1s_27 ) @ V0s ) )
% 5.66/5.93 & ~ ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27d @ A_27c ) @ V3t_27 ) @ V2t ) ) )
% 5.66/5.93 => ~ ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ ( ty_2Esum_2Esum @ A_27b @ A_27d ) @ ( ty_2Esum_2Esum @ A_27a @ A_27c ) ) @ ( ap @ ( ap @ ( c_2Ecardinal_2E_2B__c @ A_27b @ A_27d ) @ V1s_27 ) @ V3t_27 ) ) @ ( ap @ ( ap @ ( c_2Ecardinal_2E_2B__c @ A_27a @ A_27c ) @ V0s ) @ V2t ) ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECARD__MUL__LT__LEMMA,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,A_27c: del,V0s: $i] :
% 5.66/5.93 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ! [V1t: $i] :
% 5.66/5.93 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.66/5.93 => ! [V2u: $i] :
% 5.66/5.93 ( ( mem @ V2u @ ( arr @ A_27c @ bool ) )
% 5.66/5.93 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27a @ A_27b ) @ V0s ) @ V1t ) )
% 5.66/5.93 & ~ ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27c @ A_27b ) @ V2u ) @ V1t ) )
% 5.66/5.93 & ~ ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27c ) @ V2u ) ) )
% 5.66/5.93 => ~ ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27c @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ V2u ) @ ( ap @ ( ap @ ( c_2Epred__set_2ECROSS @ A_27a @ A_27b ) @ V0s ) @ V1t ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECARD__MUL__LT__INFINITE,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,A_27c: del,V0s: $i] :
% 5.66/5.93 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ! [V1t: $i] :
% 5.66/5.93 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.66/5.93 => ! [V2u: $i] :
% 5.66/5.93 ( ( mem @ V2u @ ( arr @ A_27c @ bool ) )
% 5.66/5.93 => ( ( ~ ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27c @ A_27a ) @ V2u ) @ V0s ) )
% 5.66/5.93 & ~ ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27c @ A_27b ) @ V2u ) @ V1t ) )
% 5.66/5.93 & ~ ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27c ) @ V2u ) ) )
% 5.66/5.93 => ~ ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27c @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ V2u ) @ ( ap @ ( ap @ ( c_2Epred__set_2ECROSS @ A_27a @ A_27b ) @ V0s ) @ V1t ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECANTOR__THM,axiom,
% 5.66/5.93 ! [A_27a: del,V0s: $i] :
% 5.66/5.93 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ~ ( p
% 5.66/5.93 @ ( ap
% 5.66/5.93 @ ( ap @ ( c_2Ecardinal_2Ecardleq @ ( arr @ A_27a @ bool ) @ A_27a )
% 5.66/5.93 @ ( ap @ ( c_2Epred__set_2EGSPEC @ ( arr @ A_27a @ bool ) @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 @ ( lam @ ( arr @ A_27a @ bool )
% 5.66/5.93 @ ^ [V1t: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( arr @ A_27a @ bool ) @ bool ) @ V1t ) @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V1t ) @ V0s ) ) ) ) )
% 5.66/5.93 @ V0s ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECANTOR__THM__UNIV,axiom,
% 5.66/5.93 ! [A_27a: del] :
% 5.66/5.93 ~ ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ ( arr @ A_27a @ bool ) @ A_27a ) @ ( c_2Epred__set_2EUNIV @ ( arr @ A_27a @ bool ) ) ) @ ( c_2Epred__set_2EUNIV @ A_27a ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ENUM__COUNTABLE,axiom,
% 5.66/5.93 p @ ( ap @ ( c_2Epred__set_2Ecountable @ ty_2Enum_2Enum ) @ ( c_2Epred__set_2EUNIV @ ty_2Enum_2Enum ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECOUNTABLE__ALT__cardleq,axiom,
% 5.66/5.93 ! [A_27a: del,V0s: $i] :
% 5.66/5.93 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ( ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27a ) @ V0s ) )
% 5.66/5.93 <=> ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27a @ ty_2Enum_2Enum ) @ V0s ) @ ( c_2Epred__set_2EUNIV @ ty_2Enum_2Enum ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECOUNTABLE__CASES,axiom,
% 5.66/5.93 ! [A_27a: del,V0s: $i] :
% 5.66/5.93 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ( ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27a ) @ V0s ) )
% 5.66/5.93 <=> ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.66/5.93 | ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ A_27a @ ty_2Enum_2Enum ) @ V0s ) @ ( c_2Epred__set_2EUNIV @ ty_2Enum_2Enum ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECARD__LE__COUNTABLE,axiom,
% 5.66/5.93 ! [A_27a: del,V0s: $i] :
% 5.66/5.93 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ! [V1t: $i] :
% 5.66/5.93 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ( ( ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27a ) @ V1t ) )
% 5.66/5.93 & ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A_27a @ A_27a ) @ V0s ) @ V1t ) ) )
% 5.66/5.93 => ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27a ) @ V0s ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECARD__EQ__COUNTABLE,axiom,
% 5.66/5.93 ! [A_27a: del,V0s: $i] :
% 5.66/5.93 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ! [V1t: $i] :
% 5.66/5.93 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ( ( ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27a ) @ V1t ) )
% 5.66/5.93 & ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ A_27a @ A_27a ) @ V0s ) @ V1t ) ) )
% 5.66/5.93 => ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27a ) @ V0s ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECARD__COUNTABLE__CONG,axiom,
% 5.66/5.93 ! [A_27a: del,V0s: $i] :
% 5.66/5.93 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ! [V1t: $i] :
% 5.66/5.93 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ( ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardeq @ A_27a @ A_27a ) @ V0s ) @ V1t ) )
% 5.66/5.93 => ( ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27a ) @ V0s ) )
% 5.66/5.93 <=> ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27a ) @ V1t ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECOUNTABLE__RESTRICT,axiom,
% 5.66/5.93 ! [A_27a: del,V0s: $i] :
% 5.66/5.93 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ! [V1P: $i] :
% 5.66/5.93 ( ( mem @ V1P @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ( ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27a ) @ V0s ) )
% 5.66/5.93 => ( p
% 5.66/5.93 @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27a )
% 5.66/5.93 @ ( ap @ ( c_2Epred__set_2EGSPEC @ A_27a @ A_27a )
% 5.66/5.93 @ ( lam @ A_27a
% 5.66/5.93 @ ^ [V2x: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ bool ) @ V2x ) @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V0s ) ) @ ( ap @ V1P @ V2x ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2EFINITE__IMP__COUNTABLE,axiom,
% 5.66/5.93 ! [A_27a: del,V0s: $i] :
% 5.66/5.93 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.66/5.93 => ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27a ) @ V0s ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECOUNTABLE__IMAGE,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.93 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V1s: $i] :
% 5.66/5.93 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ( ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27a ) @ V1s ) )
% 5.66/5.93 => ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27b ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ A_27b ) @ V0f ) @ V1s ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECOUNTABLE__IMAGE__INJ__GENERAL,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.93 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V1A: $i] :
% 5.66/5.93 ( ( mem @ V1A @ ( arr @ A_27b @ bool ) )
% 5.66/5.93 => ! [V2s: $i] :
% 5.66/5.93 ( ( mem @ V2s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ( ( ! [V3x: $i] :
% 5.66/5.93 ( ( mem @ V3x @ A_27a )
% 5.66/5.93 => ! [V4y: $i] :
% 5.66/5.93 ( ( mem @ V4y @ A_27a )
% 5.66/5.93 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3x ) @ V2s ) )
% 5.66/5.93 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V4y ) @ V2s ) )
% 5.66/5.93 & ( ( ap @ V0f @ V3x )
% 5.66/5.93 = ( ap @ V0f @ V4y ) ) )
% 5.66/5.93 => ( V3x = V4y ) ) ) )
% 5.66/5.93 & ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27b ) @ V1A ) ) )
% 5.66/5.93 => ( p
% 5.66/5.93 @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27a )
% 5.66/5.93 @ ( ap @ ( c_2Epred__set_2EGSPEC @ A_27a @ A_27a )
% 5.66/5.93 @ ( lam @ A_27a
% 5.66/5.93 @ ^ [V5x: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ bool ) @ V5x ) @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V5x ) @ V2s ) ) @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ ( ap @ V0f @ V5x ) ) @ V1A ) ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECOUNTABLE__IMAGE__INJ__EQ,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.93 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V1s: $i] :
% 5.66/5.93 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ( ! [V2x: $i] :
% 5.66/5.93 ( ( mem @ V2x @ A_27a )
% 5.66/5.93 => ! [V3y: $i] :
% 5.66/5.93 ( ( mem @ V3y @ A_27a )
% 5.66/5.93 => ( ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V1s ) )
% 5.66/5.93 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3y ) @ V1s ) )
% 5.66/5.93 & ( ( ap @ V0f @ V2x )
% 5.66/5.93 = ( ap @ V0f @ V3y ) ) )
% 5.66/5.93 => ( V2x = V3y ) ) ) )
% 5.66/5.93 => ( ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27b ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ A_27b ) @ V0f ) @ V1s ) ) )
% 5.66/5.93 <=> ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27a ) @ V1s ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECOUNTABLE__IMAGE__INJ,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.93 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V1A: $i] :
% 5.66/5.93 ( ( mem @ V1A @ ( arr @ A_27b @ bool ) )
% 5.66/5.93 => ( ( ! [V2x: $i] :
% 5.66/5.93 ( ( mem @ V2x @ A_27a )
% 5.66/5.93 => ! [V3y: $i] :
% 5.66/5.93 ( ( mem @ V3y @ A_27a )
% 5.66/5.93 => ( ( ( ap @ V0f @ V2x )
% 5.66/5.93 = ( ap @ V0f @ V3y ) )
% 5.66/5.93 => ( V2x = V3y ) ) ) )
% 5.66/5.93 & ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27b ) @ V1A ) ) )
% 5.66/5.93 => ( p
% 5.66/5.93 @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27a )
% 5.66/5.93 @ ( ap @ ( c_2Epred__set_2EGSPEC @ A_27a @ A_27a )
% 5.66/5.93 @ ( lam @ A_27a
% 5.66/5.93 @ ^ [V4x: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ bool ) @ V4x ) @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ ( ap @ V0f @ V4x ) ) @ V1A ) ) ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECOUNTABLE__EMPTY,axiom,
% 5.66/5.93 ! [A_27a: del] : ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27a ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECOUNTABLE__INTER,axiom,
% 5.66/5.93 ! [A_27a: del,V0s: $i] :
% 5.66/5.93 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ! [V1t: $i] :
% 5.66/5.93 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ( ( ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27a ) @ V0s ) )
% 5.66/5.93 | ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27a ) @ V1t ) ) )
% 5.66/5.93 => ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ V0s ) @ V1t ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECOUNTABLE__UNION__IMP,axiom,
% 5.66/5.93 ! [A_27a: del,V0s: $i] :
% 5.66/5.93 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ! [V1t: $i] :
% 5.66/5.93 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ( ( ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27a ) @ V0s ) )
% 5.66/5.93 & ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27a ) @ V1t ) ) )
% 5.66/5.93 => ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ V0s ) @ V1t ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECOUNTABLE__UNION,axiom,
% 5.66/5.93 ! [A_27a: del,V0s: $i] :
% 5.66/5.93 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ! [V1t: $i] :
% 5.66/5.93 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ( ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ V0s ) @ V1t ) ) )
% 5.66/5.93 <=> ( ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27a ) @ V0s ) )
% 5.66/5.93 & ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27a ) @ V1t ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECOUNTABLE__SING,axiom,
% 5.66/5.93 ! [A_27a: del,V0x: $i] :
% 5.66/5.93 ( ( mem @ V0x @ A_27a )
% 5.66/5.93 => ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V0x ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECOUNTABLE__INSERT,axiom,
% 5.66/5.93 ! [A_27a: del,V0x: $i] :
% 5.66/5.93 ( ( mem @ V0x @ A_27a )
% 5.66/5.93 => ! [V1s: $i] :
% 5.66/5.93 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ( ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V0x ) @ V1s ) ) )
% 5.66/5.93 <=> ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27a ) @ V1s ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECOUNTABLE__DELETE,axiom,
% 5.66/5.93 ! [A_27a: del,V0x: $i] :
% 5.66/5.93 ( ( mem @ V0x @ A_27a )
% 5.66/5.93 => ! [V1s: $i] :
% 5.66/5.93 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ( ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ A_27a ) @ V1s ) @ V0x ) ) )
% 5.66/5.93 <=> ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27a ) @ V1s ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECOUNTABLE__DIFF__FINITE,axiom,
% 5.66/5.93 ! [A_27a: del,V0s: $i] :
% 5.66/5.93 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ! [V1t: $i] :
% 5.66/5.93 ( ( mem @ V1t @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) )
% 5.66/5.93 => ( ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDIFF @ A_27a ) @ V1t ) @ V0s ) ) )
% 5.66/5.93 <=> ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27a ) @ V1t ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECOUNTABLE__CROSS,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0s: $i] :
% 5.66/5.93 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ! [V1t: $i] :
% 5.66/5.93 ( ( mem @ V1t @ ( arr @ A_27b @ bool ) )
% 5.66/5.93 => ( ( ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27a ) @ V0s ) )
% 5.66/5.93 & ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27b ) @ V1t ) ) )
% 5.66/5.93 => ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Epred__set_2ECROSS @ A_27a @ A_27b ) @ V0s ) @ V1t ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECOUNTABLE__AS__IMAGE__SUBSET,axiom,
% 5.66/5.93 ! [A_27a: del,V0s: $i] :
% 5.66/5.93 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ( ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27a ) @ V0s ) )
% 5.66/5.93 => ? [V1f: $i] :
% 5.66/5.93 ( ( mem @ V1f @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.66/5.93 & ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V0s ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ ty_2Enum_2Enum @ A_27a ) @ V1f ) @ ( c_2Epred__set_2EUNIV @ ty_2Enum_2Enum ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECOUNTABLE__AS__IMAGE__SUBSET__EQ,axiom,
% 5.66/5.93 ! [A_27a: del,V0s: $i] :
% 5.66/5.93 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ( ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27a ) @ V0s ) )
% 5.66/5.93 <=> ? [V1f: $i] :
% 5.66/5.93 ( ( mem @ V1f @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.66/5.93 & ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ V0s ) @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ ty_2Enum_2Enum @ A_27a ) @ V1f ) @ ( c_2Epred__set_2EUNIV @ ty_2Enum_2Enum ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECOUNTABLE__AS__IMAGE,axiom,
% 5.66/5.93 ! [A_27a: del,V0s: $i] :
% 5.66/5.93 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ( ( ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27a ) @ V0s ) )
% 5.66/5.93 & ( V0s
% 5.66/5.93 != ( c_2Epred__set_2EEMPTY @ A_27a ) ) )
% 5.66/5.93 => ? [V1f: $i] :
% 5.66/5.93 ( ( mem @ V1f @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.66/5.93 & ( V0s
% 5.66/5.93 = ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ ty_2Enum_2Enum @ A_27a ) @ V1f ) @ ( c_2Epred__set_2EUNIV @ ty_2Enum_2Enum ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2EFORALL__COUNTABLE__AS__IMAGE,axiom,
% 5.66/5.93 ! [A_27a: del,V0P: $i] :
% 5.66/5.93 ( ( mem @ V0P @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) )
% 5.66/5.93 => ( ! [V1d: $i] :
% 5.66/5.93 ( ( mem @ V1d @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ( ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27a ) @ V1d ) )
% 5.66/5.93 => ( p @ ( ap @ V0P @ V1d ) ) ) )
% 5.66/5.93 <=> ( ( p @ ( ap @ V0P @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) )
% 5.66/5.93 & ! [V2f: $i] :
% 5.66/5.93 ( ( mem @ V2f @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.66/5.93 => ( p @ ( ap @ V0P @ ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ ty_2Enum_2Enum @ A_27a ) @ V2f ) @ ( c_2Epred__set_2EUNIV @ ty_2Enum_2Enum ) ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECOUNTABLE__AS__INJECTIVE__IMAGE,axiom,
% 5.66/5.93 ! [A_27a: del,V0s: $i] :
% 5.66/5.93 ( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ( ( ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27a ) @ V0s ) )
% 5.66/5.93 & ~ ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0s ) ) )
% 5.66/5.93 => ? [V1f: $i] :
% 5.66/5.93 ( ( mem @ V1f @ ( arr @ ty_2Enum_2Enum @ A_27a ) )
% 5.66/5.93 & ( V0s
% 5.66/5.93 = ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ ty_2Enum_2Enum @ A_27a ) @ V1f ) @ ( c_2Epred__set_2EUNIV @ ty_2Enum_2Enum ) ) )
% 5.66/5.93 & ! [V2m: tp__ty_2Enum_2Enum,V3n: tp__ty_2Enum_2Enum] :
% 5.66/5.93 ( ( ( ap @ V1f @ ( inj__ty_2Enum_2Enum @ V2m ) )
% 5.66/5.93 = ( ap @ V1f @ ( inj__ty_2Enum_2Enum @ V3n ) ) )
% 5.66/5.93 => ( V2m = V3n ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECOUNTABLE__BIGUNION,axiom,
% 5.66/5.93 ! [A_27a: del,V0A: $i] :
% 5.66/5.93 ( ( mem @ V0A @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) )
% 5.66/5.93 => ( ( ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ ( arr @ A_27a @ bool ) ) @ V0A ) )
% 5.66/5.93 & ! [V1s: $i] :
% 5.66/5.93 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( arr @ A_27a @ bool ) ) @ V1s ) @ V0A ) )
% 5.66/5.93 => ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27a ) @ V1s ) ) ) ) )
% 5.66/5.93 => ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27a ) @ ( ap @ ( c_2Epred__set_2EBIGUNION @ A_27a ) @ V0A ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2EIN__ELIM__PAIR__THM,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.66/5.93 ( ( mem @ V0P @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.66/5.93 => ! [V1a: $i] :
% 5.66/5.93 ( ( mem @ V1a @ A_27a )
% 5.66/5.93 => ! [V2b: $i] :
% 5.66/5.93 ( ( mem @ V2b @ A_27b )
% 5.66/5.93 => ( ( p
% 5.66/5.93 @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V1a ) @ V2b ) )
% 5.66/5.93 @ ( ap @ ( c_2Epred__set_2EGSPEC @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) )
% 5.66/5.93 @ ( ap @ ( c_2Epair_2EUNCURRY @ A_27a @ A_27b @ ( ty_2Epair_2Eprod @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ bool ) )
% 5.66/5.93 @ ( lam @ A_27a
% 5.66/5.93 @ ^ [V3x: $i] :
% 5.66/5.93 ( lam @ A_27b
% 5.66/5.93 @ ^ [V4y: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ bool ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V3x ) @ V4y ) ) @ ( ap @ ( ap @ V0P @ V3x ) @ V4y ) ) ) ) ) ) ) )
% 5.66/5.93 <=> ( p @ ( ap @ ( ap @ V0P @ V1a ) @ V2b ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Ecardinal_2ECOUNTABLE__PRODUCT__DEPENDENT,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.66/5.93 ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27b @ A_27c ) ) )
% 5.66/5.93 => ! [V1s: $i] :
% 5.66/5.93 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ! [V2t: $i] :
% 5.66/5.93 ( ( mem @ V2t @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) )
% 5.66/5.93 => ( ( ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27a ) @ V1s ) )
% 5.66/5.93 & ! [V3x: $i] :
% 5.66/5.93 ( ( mem @ V3x @ A_27a )
% 5.66/5.93 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3x ) @ V1s ) )
% 5.66/5.93 => ( p @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27b ) @ ( ap @ V2t @ V3x ) ) ) ) ) )
% 5.66/5.93 => ( p
% 5.66/5.93 @ ( ap @ ( c_2Epred__set_2Ecountable @ A_27c )
% 5.66/5.93 @ ( ap @ ( c_2Epred__set_2EGSPEC @ A_27c @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) )
% 5.66/5.93 @ ( ap @ ( c_2Epair_2EUNCURRY @ A_27a @ A_27b @ ( ty_2Epair_2Eprod @ A_27c @ bool ) )
% 5.66/5.93 @ ( lam @ A_27a
% 5.66/5.93 @ ^ [V4x: $i] :
% 5.66/5.93 ( lam @ A_27b
% 5.66/5.93 @ ^ [V5y: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27c @ bool ) @ ( ap @ ( ap @ V0f @ V4x ) @ V5y ) ) @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V4x ) @ V1s ) ) @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ V5y ) @ ( ap @ V2t @ V4x ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 %------------------------------------------------------------------------------
% 5.66/5.93 %------------------------------------------------------------------------------
% 5.66/5.93 thf(tp_c_2EASCIInumbers_2EHEX,type,
% 5.66/5.93 c_2EASCIInumbers_2EHEX: $i ).
% 5.66/5.93
% 5.66/5.93 thf(mem_c_2EASCIInumbers_2EHEX,axiom,
% 5.66/5.93 mem @ c_2EASCIInumbers_2EHEX @ ( arr @ ty_2Enum_2Enum @ ty_2Estring_2Echar ) ).
% 5.66/5.93
% 5.66/5.93 thf(stp_fo_c_2EASCIInumbers_2EHEX,type,
% 5.66/5.93 fo__c_2EASCIInumbers_2EHEX: tp__ty_2Enum_2Enum > tp__ty_2Estring_2Echar ).
% 5.66/5.93
% 5.66/5.93 thf(stp_eq_fo_c_2EASCIInumbers_2EHEX,axiom,
% 5.66/5.93 ! [X0: tp__ty_2Enum_2Enum] :
% 5.66/5.93 ( ( inj__ty_2Estring_2Echar @ ( fo__c_2EASCIInumbers_2EHEX @ X0 ) )
% 5.66/5.93 = ( ap @ c_2EASCIInumbers_2EHEX @ ( inj__ty_2Enum_2Enum @ X0 ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(tp_c_2EASCIInumbers_2EUNHEX,type,
% 5.66/5.93 c_2EASCIInumbers_2EUNHEX: $i ).
% 5.66/5.93
% 5.66/5.93 thf(mem_c_2EASCIInumbers_2EUNHEX,axiom,
% 5.66/5.93 mem @ c_2EASCIInumbers_2EUNHEX @ ( arr @ ty_2Estring_2Echar @ ty_2Enum_2Enum ) ).
% 5.66/5.93
% 5.66/5.93 thf(stp_fo_c_2EASCIInumbers_2EUNHEX,type,
% 5.66/5.93 fo__c_2EASCIInumbers_2EUNHEX: tp__ty_2Estring_2Echar > tp__ty_2Enum_2Enum ).
% 5.66/5.93
% 5.66/5.93 thf(stp_eq_fo_c_2EASCIInumbers_2EUNHEX,axiom,
% 5.66/5.93 ! [X0: tp__ty_2Estring_2Echar] :
% 5.66/5.93 ( ( inj__ty_2Enum_2Enum @ ( fo__c_2EASCIInumbers_2EUNHEX @ X0 ) )
% 5.66/5.93 = ( ap @ c_2EASCIInumbers_2EUNHEX @ ( inj__ty_2Estring_2Echar @ X0 ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(tp_c_2EASCIInumbers_2EfromBinString,type,
% 5.66/5.93 c_2EASCIInumbers_2EfromBinString: $i ).
% 5.66/5.93
% 5.66/5.93 thf(mem_c_2EASCIInumbers_2EfromBinString,axiom,
% 5.66/5.93 mem @ c_2EASCIInumbers_2EfromBinString @ ( arr @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ ( ty_2Eoption_2Eoption @ ty_2Enum_2Enum ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(tp_c_2EASCIInumbers_2EfromDecString,type,
% 5.66/5.93 c_2EASCIInumbers_2EfromDecString: $i ).
% 5.66/5.93
% 5.66/5.93 thf(mem_c_2EASCIInumbers_2EfromDecString,axiom,
% 5.66/5.93 mem @ c_2EASCIInumbers_2EfromDecString @ ( arr @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ ( ty_2Eoption_2Eoption @ ty_2Enum_2Enum ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(tp_c_2EASCIInumbers_2EfromHexString,type,
% 5.66/5.93 c_2EASCIInumbers_2EfromHexString: $i ).
% 5.66/5.93
% 5.66/5.93 thf(mem_c_2EASCIInumbers_2EfromHexString,axiom,
% 5.66/5.93 mem @ c_2EASCIInumbers_2EfromHexString @ ( arr @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ ( ty_2Eoption_2Eoption @ ty_2Enum_2Enum ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(tp_c_2EASCIInumbers_2En2s,type,
% 5.66/5.93 c_2EASCIInumbers_2En2s: $i ).
% 5.66/5.93
% 5.66/5.93 thf(mem_c_2EASCIInumbers_2En2s,axiom,
% 5.66/5.93 mem @ c_2EASCIInumbers_2En2s @ ( arr @ ty_2Enum_2Enum @ ( arr @ ( arr @ ty_2Enum_2Enum @ ty_2Estring_2Echar ) @ ( arr @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(tp_c_2EASCIInumbers_2Enum__from__bin__string,type,
% 5.66/5.93 c_2EASCIInumbers_2Enum__from__bin__string: $i ).
% 5.66/5.93
% 5.66/5.93 thf(mem_c_2EASCIInumbers_2Enum__from__bin__string,axiom,
% 5.66/5.93 mem @ c_2EASCIInumbers_2Enum__from__bin__string @ ( arr @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ ty_2Enum_2Enum ) ).
% 5.66/5.93
% 5.66/5.93 thf(stp_fo_c_2EASCIInumbers_2Enum__from__bin__string,type,
% 5.66/5.93 fo__c_2EASCIInumbers_2Enum__from__bin__string: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar > tp__ty_2Enum_2Enum ).
% 5.66/5.93
% 5.66/5.93 thf(stp_eq_fo_c_2EASCIInumbers_2Enum__from__bin__string,axiom,
% 5.66/5.93 ! [X0: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar] :
% 5.66/5.93 ( ( inj__ty_2Enum_2Enum @ ( fo__c_2EASCIInumbers_2Enum__from__bin__string @ X0 ) )
% 5.66/5.93 = ( ap @ c_2EASCIInumbers_2Enum__from__bin__string @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ X0 ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(tp_c_2EASCIInumbers_2Enum__from__dec__string,type,
% 5.66/5.93 c_2EASCIInumbers_2Enum__from__dec__string: $i ).
% 5.66/5.93
% 5.66/5.93 thf(mem_c_2EASCIInumbers_2Enum__from__dec__string,axiom,
% 5.66/5.93 mem @ c_2EASCIInumbers_2Enum__from__dec__string @ ( arr @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ ty_2Enum_2Enum ) ).
% 5.66/5.93
% 5.66/5.93 thf(stp_fo_c_2EASCIInumbers_2Enum__from__dec__string,type,
% 5.66/5.93 fo__c_2EASCIInumbers_2Enum__from__dec__string: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar > tp__ty_2Enum_2Enum ).
% 5.66/5.93
% 5.66/5.93 thf(stp_eq_fo_c_2EASCIInumbers_2Enum__from__dec__string,axiom,
% 5.66/5.93 ! [X0: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar] :
% 5.66/5.93 ( ( inj__ty_2Enum_2Enum @ ( fo__c_2EASCIInumbers_2Enum__from__dec__string @ X0 ) )
% 5.66/5.93 = ( ap @ c_2EASCIInumbers_2Enum__from__dec__string @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ X0 ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(tp_c_2EASCIInumbers_2Enum__from__hex__string,type,
% 5.66/5.93 c_2EASCIInumbers_2Enum__from__hex__string: $i ).
% 5.66/5.93
% 5.66/5.93 thf(mem_c_2EASCIInumbers_2Enum__from__hex__string,axiom,
% 5.66/5.93 mem @ c_2EASCIInumbers_2Enum__from__hex__string @ ( arr @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ ty_2Enum_2Enum ) ).
% 5.66/5.93
% 5.66/5.93 thf(stp_fo_c_2EASCIInumbers_2Enum__from__hex__string,type,
% 5.66/5.93 fo__c_2EASCIInumbers_2Enum__from__hex__string: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar > tp__ty_2Enum_2Enum ).
% 5.66/5.93
% 5.66/5.93 thf(stp_eq_fo_c_2EASCIInumbers_2Enum__from__hex__string,axiom,
% 5.66/5.93 ! [X0: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar] :
% 5.66/5.93 ( ( inj__ty_2Enum_2Enum @ ( fo__c_2EASCIInumbers_2Enum__from__hex__string @ X0 ) )
% 5.66/5.93 = ( ap @ c_2EASCIInumbers_2Enum__from__hex__string @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ X0 ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(tp_c_2EASCIInumbers_2Enum__from__oct__string,type,
% 5.66/5.93 c_2EASCIInumbers_2Enum__from__oct__string: $i ).
% 5.66/5.93
% 5.66/5.93 thf(mem_c_2EASCIInumbers_2Enum__from__oct__string,axiom,
% 5.66/5.93 mem @ c_2EASCIInumbers_2Enum__from__oct__string @ ( arr @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ ty_2Enum_2Enum ) ).
% 5.66/5.93
% 5.66/5.93 thf(stp_fo_c_2EASCIInumbers_2Enum__from__oct__string,type,
% 5.66/5.93 fo__c_2EASCIInumbers_2Enum__from__oct__string: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar > tp__ty_2Enum_2Enum ).
% 5.66/5.93
% 5.66/5.93 thf(stp_eq_fo_c_2EASCIInumbers_2Enum__from__oct__string,axiom,
% 5.66/5.93 ! [X0: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar] :
% 5.66/5.93 ( ( inj__ty_2Enum_2Enum @ ( fo__c_2EASCIInumbers_2Enum__from__oct__string @ X0 ) )
% 5.66/5.93 = ( ap @ c_2EASCIInumbers_2Enum__from__oct__string @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ X0 ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(tp_c_2EASCIInumbers_2Enum__to__bin__string,type,
% 5.66/5.93 c_2EASCIInumbers_2Enum__to__bin__string: $i ).
% 5.66/5.93
% 5.66/5.93 thf(mem_c_2EASCIInumbers_2Enum__to__bin__string,axiom,
% 5.66/5.93 mem @ c_2EASCIInumbers_2Enum__to__bin__string @ ( arr @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(tp_c_2EASCIInumbers_2Enum__to__dec__string,type,
% 5.66/5.93 c_2EASCIInumbers_2Enum__to__dec__string: $i ).
% 5.66/5.93
% 5.66/5.93 thf(mem_c_2EASCIInumbers_2Enum__to__dec__string,axiom,
% 5.66/5.93 mem @ c_2EASCIInumbers_2Enum__to__dec__string @ ( arr @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(tp_c_2EASCIInumbers_2Enum__to__hex__string,type,
% 5.66/5.93 c_2EASCIInumbers_2Enum__to__hex__string: $i ).
% 5.66/5.93
% 5.66/5.93 thf(mem_c_2EASCIInumbers_2Enum__to__hex__string,axiom,
% 5.66/5.93 mem @ c_2EASCIInumbers_2Enum__to__hex__string @ ( arr @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(tp_c_2EASCIInumbers_2Enum__to__oct__string,type,
% 5.66/5.93 c_2EASCIInumbers_2Enum__to__oct__string: $i ).
% 5.66/5.93
% 5.66/5.93 thf(mem_c_2EASCIInumbers_2Enum__to__oct__string,axiom,
% 5.66/5.93 mem @ c_2EASCIInumbers_2Enum__to__oct__string @ ( arr @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(tp_c_2EASCIInumbers_2Es2n,type,
% 5.66/5.93 c_2EASCIInumbers_2Es2n: $i ).
% 5.66/5.93
% 5.66/5.93 thf(mem_c_2EASCIInumbers_2Es2n,axiom,
% 5.66/5.93 mem @ c_2EASCIInumbers_2Es2n @ ( arr @ ty_2Enum_2Enum @ ( arr @ ( arr @ ty_2Estring_2Echar @ ty_2Enum_2Enum ) @ ( arr @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ ty_2Enum_2Enum ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(ax_thm_2EASCIInumbers_2Es2n__def,axiom,
% 5.66/5.93 ! [V0b: tp__ty_2Enum_2Enum,V1f: $i] :
% 5.66/5.93 ( ( mem @ V1f @ ( arr @ ty_2Estring_2Echar @ ty_2Enum_2Enum ) )
% 5.66/5.93 => ! [V2s: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar] :
% 5.66/5.93 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2EASCIInumbers_2Es2n @ ( inj__ty_2Enum_2Enum @ V0b ) ) @ V1f ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V2s ) ) )
% 5.66/5.93 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Enumposrep_2El2n @ ( inj__ty_2Enum_2Enum @ V0b ) ) @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ ty_2Estring_2Echar @ ty_2Enum_2Enum ) @ V1f ) @ ( ap @ ( c_2Elist_2EREVERSE @ ty_2Estring_2Echar ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V2s ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(ax_thm_2EASCIInumbers_2En2s__def,axiom,
% 5.66/5.93 ! [V0b: tp__ty_2Enum_2Enum,V1f: $i] :
% 5.66/5.93 ( ( mem @ V1f @ ( arr @ ty_2Enum_2Enum @ ty_2Estring_2Echar ) )
% 5.66/5.93 => ! [V2n: tp__ty_2Enum_2Enum] :
% 5.66/5.93 ( ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ ( ap @ ( ap @ c_2EASCIInumbers_2En2s @ ( inj__ty_2Enum_2Enum @ V0b ) ) @ V1f ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) )
% 5.66/5.93 = ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ ( c_2Elist_2EREVERSE @ ty_2Estring_2Echar ) @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ ty_2Enum_2Enum @ ty_2Estring_2Echar ) @ V1f ) @ ( ap @ ( ap @ c_2Enumposrep_2En2l @ ( inj__ty_2Enum_2Enum @ V0b ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(ax_thm_2EASCIInumbers_2EHEX__primitive__def,axiom,
% 5.66/5.93 ( c_2EASCIInumbers_2EHEX
% 5.66/5.93 = ( ap
% 5.66/5.93 @ ( ap @ ( c_2Erelation_2EWFREC @ ty_2Enum_2Enum @ ty_2Estring_2Echar )
% 5.66/5.93 @ ( ap @ ( c_2Emin_2E_40 @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ bool ) ) )
% 5.66/5.93 @ ( lam @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.93 @ ^ [V0R: $i] : ( ap @ ( c_2Erelation_2EWF @ ty_2Enum_2Enum ) @ V0R ) ) ) )
% 5.66/5.93 @ ( lam @ ( arr @ ty_2Enum_2Enum @ ty_2Estring_2Echar )
% 5.66/5.93 @ ^ [V1HEX: $i] :
% 5.66/5.93 ( lam @ ty_2Enum_2Enum
% 5.66/5.93 @ ^ [V2a: $i] :
% 5.66/5.93 ( ap
% 5.66/5.93 @ ( ap @ ( c_2Ebool_2Eliteral__case @ ty_2Enum_2Enum @ ty_2Estring_2Echar )
% 5.66/5.93 @ ( lam @ ty_2Enum_2Enum
% 5.66/5.93 @ ^ [V3v: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Estring_2Echar ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ V3v ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) @ ( ap @ ( c_2Ecombin_2EI @ ty_2Estring_2Echar ) @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Estring_2Echar ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ V3v ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( c_2Ecombin_2EI @ ty_2Estring_2Echar ) @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Estring_2Echar ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ V3v ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( c_2Ecombin_2EI @ ty_2Estring_2Echar ) @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Estring_2Echar ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ V3v ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( c_2Ecombin_2EI @ ty_2Estring_2Echar ) @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Estring_2Echar ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ V3v ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( c_2Ecombin_2EI @ ty_2Estring_2Echar ) @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Estring_2Echar ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ V3v ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( c_2Ecombin_2EI @ ty_2Estring_2Echar ) @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Estring_2Echar ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ V3v ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( c_2Ecombin_2EI @ ty_2Estring_2Echar ) @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Estring_2Echar ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ V3v ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( ap @ ( c_2Ecombin_2EI @ ty_2Estring_2Echar ) @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Estring_2Echar ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ V3v ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( ap @ ( c_2Ecombin_2EI @ ty_2Estring_2Echar ) @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Estring_2Echar ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ V3v ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( ap @ ( c_2Ecombin_2EI @ ty_2Estring_2Echar ) @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Estring_2Echar ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ V3v ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( ap @ ( c_2Ecombin_2EI @ ty_2Estring_2Echar ) @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Estring_2Echar ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ V3v ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( ap @ ( c_2Ecombin_2EI @ ty_2Estring_2Echar ) @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Estring_2Echar ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ V3v ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( ap @ ( c_2Ecombin_2EI @ ty_2Estring_2Echar ) @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Estring_2Echar ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ V3v ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( ap @ ( c_2Ecombin_2EI @ ty_2Estring_2Echar ) @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Estring_2Echar ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ V3v ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( ap @ ( c_2Ecombin_2EI @ ty_2Estring_2Echar ) @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Estring_2Echar ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ V3v ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) @ ( ap @ ( c_2Ecombin_2EI @ ty_2Estring_2Echar ) @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) ) @ ( c_2Ebool_2EARB @ ty_2Estring_2Echar ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.66/5.93 @ V2a ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2EASCIInumbers_2EHEX__ind,axiom,
% 5.66/5.93 ! [V0P: $i] :
% 5.66/5.93 ( ( mem @ V0P @ ( arr @ ty_2Enum_2Enum @ bool ) )
% 5.66/5.93 => ( ( ( p @ ( ap @ V0P @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.66/5.93 & ( p @ ( ap @ V0P @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.66/5.93 & ( p @ ( ap @ V0P @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.66/5.93 & ( p @ ( ap @ V0P @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.66/5.93 & ( p @ ( ap @ V0P @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.66/5.93 & ( p @ ( ap @ V0P @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.66/5.93 & ( p @ ( ap @ V0P @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.66/5.93 & ( p @ ( ap @ V0P @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.66/5.93 & ( p @ ( ap @ V0P @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.66/5.93 & ( p @ ( ap @ V0P @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.66/5.93 & ( p @ ( ap @ V0P @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.66/5.93 & ( p @ ( ap @ V0P @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.66/5.93 & ( p @ ( ap @ V0P @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.66/5.93 & ( p @ ( ap @ V0P @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.66/5.93 & ( p @ ( ap @ V0P @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.66/5.93 & ( p @ ( ap @ V0P @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.66/5.93 & ! [V1v18: tp__ty_2Enum_2Enum] : ( p @ ( ap @ V0P @ ( inj__ty_2Enum_2Enum @ V1v18 ) ) ) )
% 5.66/5.93 => ! [V2v: tp__ty_2Enum_2Enum] : ( p @ ( ap @ V0P @ ( inj__ty_2Enum_2Enum @ V2v ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2EASCIInumbers_2EHEX__def,axiom,
% 5.66/5.93 ( ( ( surj__ty_2Estring_2Echar @ ( ap @ c_2EASCIInumbers_2EHEX @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
% 5.66/5.93 = ( surj__ty_2Estring_2Echar @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) )
% 5.66/5.93 & ( ( surj__ty_2Estring_2Echar @ ( ap @ c_2EASCIInumbers_2EHEX @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.66/5.93 = ( surj__ty_2Estring_2Echar @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) )
% 5.66/5.93 & ( ( surj__ty_2Estring_2Echar @ ( ap @ c_2EASCIInumbers_2EHEX @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.66/5.93 = ( surj__ty_2Estring_2Echar @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) )
% 5.66/5.93 & ( ( surj__ty_2Estring_2Echar @ ( ap @ c_2EASCIInumbers_2EHEX @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.66/5.93 = ( surj__ty_2Estring_2Echar @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) )
% 5.66/5.93 & ( ( surj__ty_2Estring_2Echar @ ( ap @ c_2EASCIInumbers_2EHEX @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.66/5.93 = ( surj__ty_2Estring_2Echar @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) )
% 5.66/5.93 & ( ( surj__ty_2Estring_2Echar @ ( ap @ c_2EASCIInumbers_2EHEX @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.66/5.93 = ( surj__ty_2Estring_2Echar @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) )
% 5.66/5.93 & ( ( surj__ty_2Estring_2Echar @ ( ap @ c_2EASCIInumbers_2EHEX @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.66/5.93 = ( surj__ty_2Estring_2Echar @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) )
% 5.66/5.93 & ( ( surj__ty_2Estring_2Echar @ ( ap @ c_2EASCIInumbers_2EHEX @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.66/5.93 = ( surj__ty_2Estring_2Echar @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) )
% 5.66/5.93 & ( ( surj__ty_2Estring_2Echar @ ( ap @ c_2EASCIInumbers_2EHEX @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.66/5.93 = ( surj__ty_2Estring_2Echar @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) )
% 5.66/5.93 & ( ( surj__ty_2Estring_2Echar @ ( ap @ c_2EASCIInumbers_2EHEX @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.66/5.93 = ( surj__ty_2Estring_2Echar @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) )
% 5.66/5.93 & ( ( surj__ty_2Estring_2Echar @ ( ap @ c_2EASCIInumbers_2EHEX @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.66/5.93 = ( surj__ty_2Estring_2Echar @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) )
% 5.66/5.93 & ( ( surj__ty_2Estring_2Echar @ ( ap @ c_2EASCIInumbers_2EHEX @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.66/5.93 = ( surj__ty_2Estring_2Echar @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) )
% 5.66/5.93 & ( ( surj__ty_2Estring_2Echar @ ( ap @ c_2EASCIInumbers_2EHEX @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.66/5.93 = ( surj__ty_2Estring_2Echar @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) )
% 5.66/5.93 & ( ( surj__ty_2Estring_2Echar @ ( ap @ c_2EASCIInumbers_2EHEX @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.66/5.93 = ( surj__ty_2Estring_2Echar @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) )
% 5.66/5.93 & ( ( surj__ty_2Estring_2Echar @ ( ap @ c_2EASCIInumbers_2EHEX @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.66/5.93 = ( surj__ty_2Estring_2Echar @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) )
% 5.66/5.93 & ( ( surj__ty_2Estring_2Echar @ ( ap @ c_2EASCIInumbers_2EHEX @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.66/5.93 = ( surj__ty_2Estring_2Echar @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(ax_thm_2EASCIInumbers_2EUNHEX__primitive__def,axiom,
% 5.66/5.93 ( c_2EASCIInumbers_2EUNHEX
% 5.66/5.93 = ( ap
% 5.66/5.93 @ ( ap @ ( c_2Erelation_2EWFREC @ ty_2Estring_2Echar @ ty_2Enum_2Enum )
% 5.66/5.93 @ ( ap @ ( c_2Emin_2E_40 @ ( arr @ ty_2Estring_2Echar @ ( arr @ ty_2Estring_2Echar @ bool ) ) )
% 5.66/5.93 @ ( lam @ ( arr @ ty_2Estring_2Echar @ ( arr @ ty_2Estring_2Echar @ bool ) )
% 5.66/5.93 @ ^ [V0R: $i] : ( ap @ ( c_2Erelation_2EWF @ ty_2Estring_2Echar ) @ V0R ) ) ) )
% 5.66/5.93 @ ( lam @ ( arr @ ty_2Estring_2Echar @ ty_2Enum_2Enum )
% 5.66/5.93 @ ^ [V1UNHEX: $i] :
% 5.66/5.93 ( lam @ ty_2Estring_2Echar
% 5.66/5.93 @ ^ [V2a: $i] :
% 5.66/5.93 ( ap
% 5.66/5.93 @ ( ap @ ( c_2Ebool_2Eliteral__case @ ty_2Estring_2Echar @ ty_2Enum_2Enum )
% 5.66/5.93 @ ( lam @ ty_2Estring_2Echar
% 5.66/5.93 @ ^ [V3v: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Estring_2Echar ) @ V3v ) @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) @ ( ap @ ( c_2Ecombin_2EI @ ty_2Enum_2Enum ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Estring_2Echar ) @ V3v ) @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) @ ( ap @ ( c_2Ecombin_2EI @ ty_2Enum_2Enum ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Estring_2Echar ) @ V3v ) @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) @ ( ap @ ( c_2Ecombin_2EI @ ty_2Enum_2Enum ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Estring_2Echar ) @ V3v ) @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) @ ( ap @ ( c_2Ecombin_2EI @ ty_2Enum_2Enum ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Estring_2Echar ) @ V3v ) @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) @ ( ap @ ( c_2Ecombin_2EI @ ty_2Enum_2Enum ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Estring_2Echar ) @ V3v ) @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) @ ( ap @ ( c_2Ecombin_2EI @ ty_2Enum_2Enum ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Estring_2Echar ) @ V3v ) @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) @ ( ap @ ( c_2Ecombin_2EI @ ty_2Enum_2Enum ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Estring_2Echar ) @ V3v ) @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) @ ( ap @ ( c_2Ecombin_2EI @ ty_2Enum_2Enum ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Estring_2Echar ) @ V3v ) @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) @ ( ap @ ( c_2Ecombin_2EI @ ty_2Enum_2Enum ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Estring_2Echar ) @ V3v ) @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) @ ( ap @ ( c_2Ecombin_2EI @ ty_2Enum_2Enum ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Estring_2Echar ) @ V3v ) @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) ) @ ( ap @ ( c_2Ecombin_2EI @ ty_2Enum_2Enum ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Estring_2Echar ) @ V3v ) @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) ) @ ( ap @ ( c_2Ecombin_2EI @ ty_2Enum_2Enum ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Estring_2Echar ) @ V3v ) @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) ) @ ( ap @ ( c_2Ecombin_2EI @ ty_2Enum_2Enum ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Estring_2Echar ) @ V3v ) @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) ) @ ( ap @ ( c_2Ecombin_2EI @ ty_2Enum_2Enum ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Estring_2Echar ) @ V3v ) @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) ) @ ( ap @ ( c_2Ecombin_2EI @ ty_2Enum_2Enum ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Estring_2Echar ) @ V3v ) @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) ) @ ( ap @ ( c_2Ecombin_2EI @ ty_2Enum_2Enum ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Estring_2Echar ) @ V3v ) @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) ) @ ( ap @ ( c_2Ecombin_2EI @ ty_2Enum_2Enum ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Estring_2Echar ) @ V3v ) @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) ) @ ( ap @ ( c_2Ecombin_2EI @ ty_2Enum_2Enum ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Estring_2Echar ) @ V3v ) @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) ) @ ( ap @ ( c_2Ecombin_2EI @ ty_2Enum_2Enum ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Estring_2Echar ) @ V3v ) @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) ) @ ( ap @ ( c_2Ecombin_2EI @ ty_2Enum_2Enum ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Estring_2Echar ) @ V3v ) @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) ) @ ( ap @ ( c_2Ecombin_2EI @ ty_2Enum_2Enum ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Estring_2Echar ) @ V3v ) @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) ) @ ( ap @ ( c_2Ecombin_2EI @ ty_2Enum_2Enum ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) @ ( c_2Ebool_2EARB @ ty_2Enum_2Enum ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 5.66/5.93 @ V2a ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2EASCIInumbers_2EUNHEX__ind,axiom,
% 5.66/5.93 ! [V0P: $i] :
% 5.66/5.93 ( ( mem @ V0P @ ( arr @ ty_2Estring_2Echar @ bool ) )
% 5.66/5.93 => ( ( ( p @ ( ap @ V0P @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) )
% 5.66/5.93 & ( p @ ( ap @ V0P @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) )
% 5.66/5.93 & ( p @ ( ap @ V0P @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) )
% 5.66/5.93 & ( p @ ( ap @ V0P @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) )
% 5.66/5.93 & ( p @ ( ap @ V0P @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) )
% 5.66/5.93 & ( p @ ( ap @ V0P @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) )
% 5.66/5.93 & ( p @ ( ap @ V0P @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) )
% 5.66/5.93 & ( p @ ( ap @ V0P @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) )
% 5.66/5.93 & ( p @ ( ap @ V0P @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) )
% 5.66/5.93 & ( p @ ( ap @ V0P @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) )
% 5.66/5.93 & ( p @ ( ap @ V0P @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) )
% 5.66/5.93 & ( p @ ( ap @ V0P @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) )
% 5.66/5.93 & ( p @ ( ap @ V0P @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) )
% 5.66/5.93 & ( p @ ( ap @ V0P @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) )
% 5.66/5.93 & ( p @ ( ap @ V0P @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) )
% 5.66/5.93 & ( p @ ( ap @ V0P @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) )
% 5.66/5.93 & ( p @ ( ap @ V0P @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) )
% 5.66/5.93 & ( p @ ( ap @ V0P @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) )
% 5.66/5.93 & ( p @ ( ap @ V0P @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) )
% 5.66/5.93 & ( p @ ( ap @ V0P @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) )
% 5.66/5.93 & ( p @ ( ap @ V0P @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) )
% 5.66/5.93 & ( p @ ( ap @ V0P @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) )
% 5.66/5.93 & ! [V1v24: tp__ty_2Estring_2Echar] : ( p @ ( ap @ V0P @ ( inj__ty_2Estring_2Echar @ V1v24 ) ) ) )
% 5.66/5.93 => ! [V2v: tp__ty_2Estring_2Echar] : ( p @ ( ap @ V0P @ ( inj__ty_2Estring_2Echar @ V2v ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2EASCIInumbers_2EUNHEX__def,axiom,
% 5.66/5.93 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2EASCIInumbers_2EUNHEX @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) )
% 5.66/5.93 = fo__c_2Enum_2E0 )
% 5.66/5.93 & ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2EASCIInumbers_2EUNHEX @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) )
% 5.66/5.93 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.66/5.93 & ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2EASCIInumbers_2EUNHEX @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) )
% 5.66/5.93 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
% 5.66/5.93 & ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2EASCIInumbers_2EUNHEX @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) )
% 5.66/5.93 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.66/5.93 & ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2EASCIInumbers_2EUNHEX @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) )
% 5.66/5.93 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.66/5.93 & ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2EASCIInumbers_2EUNHEX @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) )
% 5.66/5.93 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.66/5.93 & ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2EASCIInumbers_2EUNHEX @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) )
% 5.66/5.93 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) )
% 5.66/5.93 & ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2EASCIInumbers_2EUNHEX @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) )
% 5.66/5.93 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.66/5.93 & ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2EASCIInumbers_2EUNHEX @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) )
% 5.66/5.93 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.66/5.93 & ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2EASCIInumbers_2EUNHEX @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) )
% 5.66/5.93 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.66/5.93 & ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2EASCIInumbers_2EUNHEX @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) )
% 5.66/5.93 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.66/5.93 & ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2EASCIInumbers_2EUNHEX @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) )
% 5.66/5.93 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.66/5.93 & ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2EASCIInumbers_2EUNHEX @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) )
% 5.66/5.93 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.66/5.93 & ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2EASCIInumbers_2EUNHEX @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) )
% 5.66/5.93 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.66/5.93 & ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2EASCIInumbers_2EUNHEX @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) )
% 5.66/5.93 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.66/5.93 & ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2EASCIInumbers_2EUNHEX @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) )
% 5.66/5.93 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.66/5.93 & ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2EASCIInumbers_2EUNHEX @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) )
% 5.66/5.93 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.66/5.93 & ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2EASCIInumbers_2EUNHEX @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) )
% 5.66/5.93 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.66/5.93 & ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2EASCIInumbers_2EUNHEX @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) )
% 5.66/5.93 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.66/5.93 & ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2EASCIInumbers_2EUNHEX @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) )
% 5.66/5.93 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.66/5.93 & ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2EASCIInumbers_2EUNHEX @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) )
% 5.66/5.93 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) )
% 5.66/5.93 & ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2EASCIInumbers_2EUNHEX @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) )
% 5.66/5.93 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(ax_thm_2EASCIInumbers_2Enum__from__bin__string__def,axiom,
% 5.66/5.93 ( c_2EASCIInumbers_2Enum__from__bin__string
% 5.66/5.93 = ( ap @ ( ap @ c_2EASCIInumbers_2Es2n @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ c_2EASCIInumbers_2EUNHEX ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(ax_thm_2EASCIInumbers_2Enum__from__oct__string__def,axiom,
% 5.66/5.93 ( c_2EASCIInumbers_2Enum__from__oct__string
% 5.66/5.93 = ( ap @ ( ap @ c_2EASCIInumbers_2Es2n @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ c_2EASCIInumbers_2EUNHEX ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(ax_thm_2EASCIInumbers_2Enum__from__dec__string__def,axiom,
% 5.66/5.93 ( c_2EASCIInumbers_2Enum__from__dec__string
% 5.66/5.93 = ( ap @ ( ap @ c_2EASCIInumbers_2Es2n @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ c_2EASCIInumbers_2EUNHEX ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(ax_thm_2EASCIInumbers_2Enum__from__hex__string__def,axiom,
% 5.66/5.93 ( c_2EASCIInumbers_2Enum__from__hex__string
% 5.66/5.93 = ( ap @ ( ap @ c_2EASCIInumbers_2Es2n @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ c_2EASCIInumbers_2EUNHEX ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(ax_thm_2EASCIInumbers_2Enum__to__bin__string__def,axiom,
% 5.66/5.93 ( c_2EASCIInumbers_2Enum__to__bin__string
% 5.66/5.93 = ( ap @ ( ap @ c_2EASCIInumbers_2En2s @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ c_2EASCIInumbers_2EHEX ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(ax_thm_2EASCIInumbers_2Enum__to__oct__string__def,axiom,
% 5.66/5.93 ( c_2EASCIInumbers_2Enum__to__oct__string
% 5.66/5.93 = ( ap @ ( ap @ c_2EASCIInumbers_2En2s @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ c_2EASCIInumbers_2EHEX ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(ax_thm_2EASCIInumbers_2Enum__to__dec__string__def,axiom,
% 5.66/5.93 ( c_2EASCIInumbers_2Enum__to__dec__string
% 5.66/5.93 = ( ap @ ( ap @ c_2EASCIInumbers_2En2s @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) @ c_2EASCIInumbers_2EHEX ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(ax_thm_2EASCIInumbers_2Enum__to__hex__string__def,axiom,
% 5.66/5.93 ( c_2EASCIInumbers_2Enum__to__hex__string
% 5.66/5.93 = ( ap @ ( ap @ c_2EASCIInumbers_2En2s @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) @ c_2EASCIInumbers_2EHEX ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(ax_thm_2EASCIInumbers_2EfromBinString__def,axiom,
% 5.66/5.93 ! [V0s: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar] :
% 5.66/5.93 ( ( surj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ ( ap @ c_2EASCIInumbers_2EfromBinString @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V0s ) ) )
% 5.66/5.93 = ( surj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum
% 5.66/5.93 @ ( ap
% 5.66/5.93 @ ( ap
% 5.66/5.93 @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Eoption_2Eoption @ ty_2Enum_2Enum ) )
% 5.66/5.93 @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ c_2Ebool_2E_7E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V0s ) ) @ ( c_2Elist_2ENIL @ ty_2Estring_2Echar ) ) ) )
% 5.66/5.93 @ ( ap
% 5.66/5.93 @ ( ap @ ( c_2Elist_2EEVERY @ ty_2Estring_2Echar )
% 5.66/5.93 @ ( lam @ ty_2Estring_2Echar
% 5.66/5.93 @ ^ [V1c: $i] : ( ap @ ( ap @ c_2Ebool_2E_5C_2F @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Estring_2Echar ) @ V1c ) @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Estring_2Echar ) @ V1c ) @ ( ap @ c_2Estring_2ECHR @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ) ) ) ) )
% 5.66/5.93 @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V0s ) ) ) )
% 5.66/5.93 @ ( ap @ ( c_2Eoption_2ESOME @ ty_2Enum_2Enum ) @ ( ap @ c_2EASCIInumbers_2Enum__from__bin__string @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V0s ) ) ) )
% 5.66/5.93 @ ( c_2Eoption_2ENONE @ ty_2Enum_2Enum ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(ax_thm_2EASCIInumbers_2EfromDecString__def,axiom,
% 5.66/5.93 ! [V0s: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar] :
% 5.66/5.93 ( ( surj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ ( ap @ c_2EASCIInumbers_2EfromDecString @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V0s ) ) )
% 5.66/5.93 = ( surj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Eoption_2Eoption @ ty_2Enum_2Enum ) ) @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ c_2Ebool_2E_7E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V0s ) ) @ ( c_2Elist_2ENIL @ ty_2Estring_2Echar ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2EEVERY @ ty_2Estring_2Echar ) @ c_2Estring_2EisDigit ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V0s ) ) ) ) @ ( ap @ ( c_2Eoption_2ESOME @ ty_2Enum_2Enum ) @ ( ap @ c_2EASCIInumbers_2Enum__from__dec__string @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V0s ) ) ) ) @ ( c_2Eoption_2ENONE @ ty_2Enum_2Enum ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(ax_thm_2EASCIInumbers_2EfromHexString__def,axiom,
% 5.66/5.93 ! [V0s: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar] :
% 5.66/5.93 ( ( surj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ ( ap @ c_2EASCIInumbers_2EfromHexString @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V0s ) ) )
% 5.66/5.93 = ( surj__c_ty_2Eoption_2Eoption_ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Eoption_2Eoption @ ty_2Enum_2Enum ) ) @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ c_2Ebool_2E_7E @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V0s ) ) @ ( c_2Elist_2ENIL @ ty_2Estring_2Echar ) ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2EEVERY @ ty_2Estring_2Echar ) @ c_2Estring_2EisHexDigit ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V0s ) ) ) ) @ ( ap @ ( c_2Eoption_2ESOME @ ty_2Enum_2Enum ) @ ( ap @ c_2EASCIInumbers_2Enum__from__hex__string @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V0s ) ) ) ) @ ( c_2Eoption_2ENONE @ ty_2Enum_2Enum ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2EASCIInumbers_2Es2n__compute,axiom,
% 5.66/5.93 ! [V0b: tp__ty_2Enum_2Enum,V1f: $i] :
% 5.66/5.93 ( ( mem @ V1f @ ( arr @ ty_2Estring_2Echar @ ty_2Enum_2Enum ) )
% 5.66/5.93 => ! [V2s: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar] :
% 5.66/5.93 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2EASCIInumbers_2Es2n @ ( inj__ty_2Enum_2Enum @ V0b ) ) @ V1f ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V2s ) ) )
% 5.66/5.93 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Enumposrep_2El2n @ ( inj__ty_2Enum_2Enum @ V0b ) ) @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ ty_2Estring_2Echar @ ty_2Enum_2Enum ) @ V1f ) @ ( ap @ ( c_2Elist_2EREVERSE @ ty_2Estring_2Echar ) @ ( ap @ c_2Estring_2EEXPLODE @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V2s ) ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2EASCIInumbers_2En2s__compute,axiom,
% 5.66/5.93 ! [V0b: tp__ty_2Enum_2Enum,V1f: $i] :
% 5.66/5.93 ( ( mem @ V1f @ ( arr @ ty_2Enum_2Enum @ ty_2Estring_2Echar ) )
% 5.66/5.93 => ! [V2n: tp__ty_2Enum_2Enum] :
% 5.66/5.93 ( ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ ( ap @ ( ap @ c_2EASCIInumbers_2En2s @ ( inj__ty_2Enum_2Enum @ V0b ) ) @ V1f ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) )
% 5.66/5.93 = ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ c_2Estring_2EIMPLODE @ ( ap @ ( c_2Elist_2EREVERSE @ ty_2Estring_2Echar ) @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ ty_2Enum_2Enum @ ty_2Estring_2Echar ) @ V1f ) @ ( ap @ ( ap @ c_2Enumposrep_2En2l @ ( inj__ty_2Enum_2Enum @ V0b ) ) @ ( inj__ty_2Enum_2Enum @ V2n ) ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2EASCIInumbers_2EUNHEX__HEX,axiom,
% 5.66/5.93 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.66/5.93 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) )
% 5.66/5.93 => ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2EASCIInumbers_2EUNHEX @ ( ap @ c_2EASCIInumbers_2EHEX @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) )
% 5.66/5.93 = V0n ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2EASCIInumbers_2EHEX__UNHEX,axiom,
% 5.66/5.93 ! [V0c: tp__ty_2Estring_2Echar] :
% 5.66/5.93 ( ( p @ ( ap @ c_2Estring_2EisHexDigit @ ( inj__ty_2Estring_2Echar @ V0c ) ) )
% 5.66/5.93 => ( ( surj__ty_2Estring_2Echar @ ( ap @ c_2EASCIInumbers_2EHEX @ ( ap @ c_2EASCIInumbers_2EUNHEX @ ( inj__ty_2Estring_2Echar @ V0c ) ) ) )
% 5.66/5.93 = ( surj__ty_2Estring_2Echar @ ( ap @ c_2Estring_2EtoUpper @ ( inj__ty_2Estring_2Echar @ V0c ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2EASCIInumbers_2EDEC__UNDEC,axiom,
% 5.66/5.93 ! [V0c: tp__ty_2Estring_2Echar] :
% 5.66/5.93 ( ( p @ ( ap @ c_2Estring_2EisDigit @ ( inj__ty_2Estring_2Echar @ V0c ) ) )
% 5.66/5.93 => ( ( surj__ty_2Estring_2Echar @ ( ap @ c_2EASCIInumbers_2EHEX @ ( ap @ c_2EASCIInumbers_2EUNHEX @ ( inj__ty_2Estring_2Echar @ V0c ) ) ) )
% 5.66/5.93 = V0c ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2EASCIInumbers_2Es2n__n2s,axiom,
% 5.66/5.93 ! [V0c2n: $i] :
% 5.66/5.93 ( ( mem @ V0c2n @ ( arr @ ty_2Estring_2Echar @ ty_2Enum_2Enum ) )
% 5.66/5.93 => ! [V1n2c: $i] :
% 5.66/5.93 ( ( mem @ V1n2c @ ( arr @ ty_2Enum_2Enum @ ty_2Estring_2Echar ) )
% 5.66/5.93 => ! [V2b: tp__ty_2Enum_2Enum,V3n: tp__ty_2Enum_2Enum] :
% 5.66/5.93 ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V2b ) ) )
% 5.66/5.93 & ! [V4x: tp__ty_2Enum_2Enum] :
% 5.66/5.93 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V4x ) ) @ ( inj__ty_2Enum_2Enum @ V2b ) ) )
% 5.66/5.93 => ( ( surj__ty_2Enum_2Enum @ ( ap @ V0c2n @ ( ap @ V1n2c @ ( inj__ty_2Enum_2Enum @ V4x ) ) ) )
% 5.66/5.93 = V4x ) ) )
% 5.66/5.93 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ c_2EASCIInumbers_2Es2n @ ( inj__ty_2Enum_2Enum @ V2b ) ) @ V0c2n ) @ ( ap @ ( ap @ ( ap @ c_2EASCIInumbers_2En2s @ ( inj__ty_2Enum_2Enum @ V2b ) ) @ V1n2c ) @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) )
% 5.66/5.93 = V3n ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2EASCIInumbers_2En2s__s2n,axiom,
% 5.66/5.93 ! [V0c2n: $i] :
% 5.66/5.93 ( ( mem @ V0c2n @ ( arr @ ty_2Estring_2Echar @ ty_2Enum_2Enum ) )
% 5.66/5.93 => ! [V1n2c: $i] :
% 5.66/5.93 ( ( mem @ V1n2c @ ( arr @ ty_2Enum_2Enum @ ty_2Estring_2Echar ) )
% 5.66/5.93 => ! [V2b: tp__ty_2Enum_2Enum,V3s: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar] :
% 5.66/5.93 ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V2b ) ) )
% 5.66/5.93 & ( p @ ( ap @ ( ap @ ( c_2Elist_2EEVERY @ ty_2Estring_2Echar ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ty_2Estring_2Echar @ bool @ ty_2Enum_2Enum ) @ ( ap @ c_2Earithmetic_2E_3E @ ( inj__ty_2Enum_2Enum @ V2b ) ) ) @ V0c2n ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V3s ) ) ) )
% 5.66/5.93 => ( ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ ( ap @ ( ap @ c_2EASCIInumbers_2En2s @ ( inj__ty_2Enum_2Enum @ V2b ) ) @ V1n2c ) @ ( ap @ ( ap @ ( ap @ c_2EASCIInumbers_2Es2n @ ( inj__ty_2Enum_2Enum @ V2b ) ) @ V0c2n ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V3s ) ) ) )
% 5.66/5.93 = ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ ( ap @ c_2EASCIInumbers_2Es2n @ ( inj__ty_2Enum_2Enum @ V2b ) ) @ V0c2n ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V3s ) ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ty_2Estring_2Echar ) @ ( ap @ V1n2c @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) @ ( c_2Elist_2ENIL @ ty_2Estring_2Echar ) ) ) @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ ty_2Estring_2Echar @ ty_2Estring_2Echar ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ty_2Estring_2Echar @ ty_2Estring_2Echar @ ty_2Enum_2Enum ) @ V1n2c ) @ V0c2n ) ) @ ( ap @ ( ap @ ( c_2Erich__list_2ELASTN @ ty_2Estring_2Echar ) @ ( ap @ c_2Enum_2ESUC @ ( ap @ ( ap @ c_2Elogroot_2ELOG @ ( inj__ty_2Enum_2Enum @ V2b ) ) @ ( ap @ ( ap @ ( ap @ c_2EASCIInumbers_2Es2n @ ( inj__ty_2Enum_2Enum @ V2b ) ) @ V0c2n ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V3s ) ) ) ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V3s ) ) ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2EASCIInumbers_2EtoNum__toString,axiom,
% 5.66/5.93 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.66/5.93 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2EASCIInumbers_2Enum__from__dec__string @ ( ap @ c_2EASCIInumbers_2Enum__to__dec__string @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) )
% 5.66/5.93 = V0n ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2EASCIInumbers_2EtoString__toNum__cancel,axiom,
% 5.66/5.93 ! [V0n: tp__ty_2Enum_2Enum] :
% 5.66/5.93 ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2EASCIInumbers_2Enum__from__dec__string @ ( ap @ c_2EASCIInumbers_2Enum__to__dec__string @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) )
% 5.66/5.93 = V0n ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2EASCIInumbers_2EtoString__inj,axiom,
% 5.66/5.93 ! [V0n: tp__ty_2Enum_2Enum,V1m: tp__ty_2Enum_2Enum] :
% 5.66/5.93 ( ( ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ c_2EASCIInumbers_2Enum__to__dec__string @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.66/5.93 = ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ c_2EASCIInumbers_2Enum__to__dec__string @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) )
% 5.66/5.93 <=> ( V0n = V1m ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2EASCIInumbers_2EtoString__11,axiom,
% 5.66/5.93 ! [V0n: tp__ty_2Enum_2Enum,V1m: tp__ty_2Enum_2Enum] :
% 5.66/5.93 ( ( ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ c_2EASCIInumbers_2Enum__to__dec__string @ ( inj__ty_2Enum_2Enum @ V0n ) ) )
% 5.66/5.93 = ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ c_2EASCIInumbers_2Enum__to__dec__string @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) )
% 5.66/5.93 <=> ( V0n = V1m ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2EASCIInumbers_2ESTRCAT__toString__inj,axiom,
% 5.66/5.93 ! [V0n: tp__ty_2Enum_2Enum,V1m: tp__ty_2Enum_2Enum,V2s: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar] :
% 5.66/5.93 ( ( ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ ty_2Estring_2Echar ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V2s ) ) @ ( ap @ c_2EASCIInumbers_2Enum__to__dec__string @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) )
% 5.66/5.93 = ( surj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ ty_2Estring_2Echar ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V2s ) ) @ ( ap @ c_2EASCIInumbers_2Enum__to__dec__string @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) ) )
% 5.66/5.93 <=> ( V0n = V1m ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2EASCIInumbers_2EBIT__num__from__bin__string,axiom,
% 5.66/5.93 ! [V0x: tp__ty_2Enum_2Enum,V1s: tp__c_ty_2Elist_2Elist_ty_2Estring_2Echar] :
% 5.66/5.93 ( ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EEVERY @ ty_2Estring_2Echar ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ty_2Estring_2Echar @ bool @ ty_2Enum_2Enum ) @ ( ap @ c_2Earithmetic_2E_3E @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT2 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) @ c_2EASCIInumbers_2EUNHEX ) ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V1s ) ) )
% 5.66/5.93 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ ty_2Estring_2Echar ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V1s ) ) ) ) )
% 5.66/5.93 => ( ( p @ ( ap @ ( ap @ c_2Ebit_2EBIT @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( ap @ c_2EASCIInumbers_2Enum__from__bin__string @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V1s ) ) ) )
% 5.66/5.93 <=> ( ( surj__ty_2Enum_2Enum @ ( ap @ c_2EASCIInumbers_2EUNHEX @ ( ap @ c_2Estring_2ESUB @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ ty_2Enum_2Enum ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V1s ) ) @ ( ap @ c_2Eprim__rec_2EPRE @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ ( c_2Elist_2ELENGTH @ ty_2Estring_2Echar ) @ ( inj__c_ty_2Elist_2Elist_ty_2Estring_2Echar @ V1s ) ) ) @ ( inj__ty_2Enum_2Enum @ V0x ) ) ) ) ) ) )
% 5.66/5.93 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2EASCIInumbers_2ESUB__num__to__bin__string,axiom,
% 5.66/5.93 ! [V0x: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
% 5.66/5.93 ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0x ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ ty_2Estring_2Echar ) @ ( ap @ c_2EASCIInumbers_2Enum__to__bin__string @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) )
% 5.66/5.93 => ( ( surj__ty_2Estring_2Echar @ ( ap @ c_2Estring_2ESUB @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) @ ty_2Enum_2Enum ) @ ( ap @ c_2EASCIInumbers_2Enum__to__bin__string @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) @ ( inj__ty_2Enum_2Enum @ V0x ) ) ) )
% 5.66/5.93 = ( surj__ty_2Estring_2Echar @ ( ap @ c_2EASCIInumbers_2EHEX @ ( ap @ ( ap @ c_2Ebit_2EBITV @ ( inj__ty_2Enum_2Enum @ V1n ) ) @ ( ap @ c_2Eprim__rec_2EPRE @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( ap @ ( c_2Elist_2ELENGTH @ ty_2Estring_2Echar ) @ ( ap @ c_2EASCIInumbers_2Enum__to__bin__string @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) @ ( inj__ty_2Enum_2Enum @ V0x ) ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2EASCIInumbers_2Enum__bin__string,axiom,
% 5.66/5.93 ( ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ty_2Enum_2Enum @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) @ c_2EASCIInumbers_2Enum__from__bin__string ) @ c_2EASCIInumbers_2Enum__to__bin__string )
% 5.66/5.93 = ( c_2Ecombin_2EI @ ty_2Enum_2Enum ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2EASCIInumbers_2Enum__oct__string,axiom,
% 5.66/5.93 ( ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ty_2Enum_2Enum @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) @ c_2EASCIInumbers_2Enum__from__oct__string ) @ c_2EASCIInumbers_2Enum__to__oct__string )
% 5.66/5.93 = ( c_2Ecombin_2EI @ ty_2Enum_2Enum ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2EASCIInumbers_2Enum__dec__string,axiom,
% 5.66/5.93 ( ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ty_2Enum_2Enum @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) @ c_2EASCIInumbers_2Enum__from__dec__string ) @ c_2EASCIInumbers_2Enum__to__dec__string )
% 5.66/5.93 = ( c_2Ecombin_2EI @ ty_2Enum_2Enum ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2EASCIInumbers_2Enum__hex__string,axiom,
% 5.66/5.93 ( ( ap @ ( ap @ ( c_2Ecombin_2Eo @ ty_2Enum_2Enum @ ty_2Enum_2Enum @ ( ty_2Elist_2Elist @ ty_2Estring_2Echar ) ) @ c_2EASCIInumbers_2Enum__from__hex__string ) @ c_2EASCIInumbers_2Enum__to__hex__string )
% 5.66/5.93 = ( c_2Ecombin_2EI @ ty_2Enum_2Enum ) ) ).
% 5.66/5.93
% 5.66/5.93 %------------------------------------------------------------------------------
% 5.66/5.93 %------------------------------------------------------------------------------
% 5.66/5.93 thf(tp_ty_2Efinite__map_2Efmap,type,
% 5.66/5.93 ty_2Efinite__map_2Efmap: del > del > del ).
% 5.66/5.93
% 5.66/5.93 thf(tp_c_2Efinite__map_2EDRESTRICT,type,
% 5.66/5.93 c_2Efinite__map_2EDRESTRICT: del > del > $i ).
% 5.66/5.93
% 5.66/5.93 thf(mem_c_2Efinite__map_2EDRESTRICT,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Efinite__map_2EDRESTRICT @ A_27a @ A_27b ) @ ( arr @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(tp_c_2Efinite__map_2EFAPPLY,type,
% 5.66/5.93 c_2Efinite__map_2EFAPPLY: del > del > $i ).
% 5.66/5.93
% 5.66/5.93 thf(mem_c_2Efinite__map_2EFAPPLY,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Efinite__map_2EFAPPLY @ A_27a @ A_27b ) @ ( arr @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) @ ( arr @ A_27a @ A_27b ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(tp_c_2Efinite__map_2EFCARD,type,
% 5.66/5.93 c_2Efinite__map_2EFCARD: del > del > $i ).
% 5.66/5.93
% 5.66/5.93 thf(mem_c_2Efinite__map_2EFCARD,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Efinite__map_2EFCARD @ A_27a @ A_27b ) @ ( arr @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) @ ty_2Enum_2Enum ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(tp_c_2Efinite__map_2EFDOM,type,
% 5.66/5.93 c_2Efinite__map_2EFDOM: del > del > $i ).
% 5.66/5.93
% 5.66/5.93 thf(mem_c_2Efinite__map_2EFDOM,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Efinite__map_2EFDOM @ A_27a @ A_27b ) @ ( arr @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) @ ( arr @ A_27a @ bool ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(tp_c_2Efinite__map_2EFEMPTY,type,
% 5.66/5.93 c_2Efinite__map_2EFEMPTY: del > del > $i ).
% 5.66/5.93
% 5.66/5.93 thf(mem_c_2Efinite__map_2EFEMPTY,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Efinite__map_2EFEMPTY @ A_27a @ A_27b ) @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(tp_c_2Efinite__map_2EFEVERY,type,
% 5.66/5.93 c_2Efinite__map_2EFEVERY: del > del > $i ).
% 5.66/5.93
% 5.66/5.93 thf(mem_c_2Efinite__map_2EFEVERY,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Efinite__map_2EFEVERY @ A_27a @ A_27b ) @ ( arr @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ bool ) @ ( arr @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) @ bool ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(tp_c_2Efinite__map_2EFLOOKUP,type,
% 5.66/5.93 c_2Efinite__map_2EFLOOKUP: del > del > $i ).
% 5.66/5.93
% 5.66/5.93 thf(mem_c_2Efinite__map_2EFLOOKUP,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Efinite__map_2EFLOOKUP @ A_27a @ A_27b ) @ ( arr @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) @ ( arr @ A_27a @ ( ty_2Eoption_2Eoption @ A_27b ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(tp_c_2Efinite__map_2EFMAP__MAP2,type,
% 5.66/5.93 c_2Efinite__map_2EFMAP__MAP2: del > del > del > $i ).
% 5.66/5.93
% 5.66/5.93 thf(mem_c_2Efinite__map_2EFMAP__MAP2,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,A_27c: del] : ( mem @ ( c_2Efinite__map_2EFMAP__MAP2 @ A_27a @ A_27b @ A_27c ) @ ( arr @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27c ) @ A_27b ) @ ( arr @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27c ) @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(tp_c_2Efinite__map_2EFMERGE,type,
% 5.66/5.93 c_2Efinite__map_2EFMERGE: del > del > $i ).
% 5.66/5.93
% 5.66/5.93 thf(mem_c_2Efinite__map_2EFMERGE,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Efinite__map_2EFMERGE @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) @ ( arr @ ( ty_2Efinite__map_2Efmap @ A_27b @ A_27a ) @ ( arr @ ( ty_2Efinite__map_2Efmap @ A_27b @ A_27a ) @ ( ty_2Efinite__map_2Efmap @ A_27b @ A_27a ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(tp_c_2Efinite__map_2EFRANGE,type,
% 5.66/5.93 c_2Efinite__map_2EFRANGE: del > del > $i ).
% 5.66/5.93
% 5.66/5.93 thf(mem_c_2Efinite__map_2EFRANGE,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Efinite__map_2EFRANGE @ A_27a @ A_27b ) @ ( arr @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) @ ( arr @ A_27b @ bool ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(tp_c_2Efinite__map_2EFUNION,type,
% 5.66/5.93 c_2Efinite__map_2EFUNION: del > del > $i ).
% 5.66/5.93
% 5.66/5.93 thf(mem_c_2Efinite__map_2EFUNION,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Efinite__map_2EFUNION @ A_27a @ A_27b ) @ ( arr @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) @ ( arr @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(tp_c_2Efinite__map_2EFUN__FMAP,type,
% 5.66/5.93 c_2Efinite__map_2EFUN__FMAP: del > del > $i ).
% 5.66/5.93
% 5.66/5.93 thf(mem_c_2Efinite__map_2EFUN__FMAP,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Efinite__map_2EFUN__FMAP @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ bool ) @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(tp_c_2Efinite__map_2EFUPDATE,type,
% 5.66/5.93 c_2Efinite__map_2EFUPDATE: del > del > $i ).
% 5.66/5.93
% 5.66/5.93 thf(mem_c_2Efinite__map_2EFUPDATE,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Efinite__map_2EFUPDATE @ A_27a @ A_27b ) @ ( arr @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(tp_c_2Efinite__map_2EFUPDATE__LIST,type,
% 5.66/5.93 c_2Efinite__map_2EFUPDATE__LIST: del > del > $i ).
% 5.66/5.93
% 5.66/5.93 thf(mem_c_2Efinite__map_2EFUPDATE__LIST,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Efinite__map_2EFUPDATE__LIST @ A_27a @ A_27b ) @ ( arr @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) @ ( arr @ ( ty_2Elist_2Elist @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(tp_c_2Efinite__map_2EMAP__KEYS,type,
% 5.66/5.93 c_2Efinite__map_2EMAP__KEYS: del > del > del > $i ).
% 5.66/5.93
% 5.66/5.93 thf(mem_c_2Efinite__map_2EMAP__KEYS,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,A_27c: del] : ( mem @ ( c_2Efinite__map_2EMAP__KEYS @ A_27a @ A_27b @ A_27c ) @ ( arr @ ( arr @ A_27a @ A_27b ) @ ( arr @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27c ) @ ( ty_2Efinite__map_2Efmap @ A_27b @ A_27c ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(tp_c_2Efinite__map_2ERRESTRICT,type,
% 5.66/5.93 c_2Efinite__map_2ERRESTRICT: del > del > $i ).
% 5.66/5.93
% 5.66/5.93 thf(mem_c_2Efinite__map_2ERRESTRICT,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Efinite__map_2ERRESTRICT @ A_27a @ A_27b ) @ ( arr @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27b @ bool ) @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(tp_c_2Efinite__map_2ESUBMAP,type,
% 5.66/5.93 c_2Efinite__map_2ESUBMAP: del > del > $i ).
% 5.66/5.93
% 5.66/5.93 thf(mem_c_2Efinite__map_2ESUBMAP,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Efinite__map_2ESUBMAP @ A_27a @ A_27b ) @ ( arr @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) @ ( arr @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) @ bool ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(tp_c_2Efinite__map_2Ef__o,type,
% 5.66/5.93 c_2Efinite__map_2Ef__o: del > del > del > $i ).
% 5.66/5.93
% 5.66/5.93 thf(mem_c_2Efinite__map_2Ef__o,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,A_27c: del] : ( mem @ ( c_2Efinite__map_2Ef__o @ A_27a @ A_27b @ A_27c ) @ ( arr @ ( ty_2Efinite__map_2Efmap @ A_27b @ A_27c ) @ ( arr @ ( arr @ A_27a @ A_27b ) @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27c ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(tp_c_2Efinite__map_2Ef__o__f,type,
% 5.66/5.93 c_2Efinite__map_2Ef__o__f: del > del > del > $i ).
% 5.66/5.93
% 5.66/5.93 thf(mem_c_2Efinite__map_2Ef__o__f,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,A_27c: del] : ( mem @ ( c_2Efinite__map_2Ef__o__f @ A_27a @ A_27b @ A_27c ) @ ( arr @ ( ty_2Efinite__map_2Efmap @ A_27b @ A_27c ) @ ( arr @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27c ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(tp_c_2Efinite__map_2Efdomsub,type,
% 5.66/5.93 c_2Efinite__map_2Efdomsub: del > del > $i ).
% 5.66/5.93
% 5.66/5.93 thf(mem_c_2Efinite__map_2Efdomsub,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Efinite__map_2Efdomsub @ A_27a @ A_27b ) @ ( arr @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) @ ( arr @ A_27a @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(tp_c_2Efinite__map_2Efmap__ABS,type,
% 5.66/5.93 c_2Efinite__map_2Efmap__ABS: del > del > $i ).
% 5.66/5.93
% 5.66/5.93 thf(mem_c_2Efinite__map_2Efmap__ABS,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Efinite__map_2Efmap__ABS @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ ( ty_2Esum_2Esum @ A_27b @ ty_2Eone_2Eone ) ) @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(tp_c_2Efinite__map_2Efmap__EQ__UPTO,type,
% 5.66/5.93 c_2Efinite__map_2Efmap__EQ__UPTO: del > del > $i ).
% 5.66/5.93
% 5.66/5.93 thf(mem_c_2Efinite__map_2Efmap__EQ__UPTO,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Efinite__map_2Efmap__EQ__UPTO @ A_27a @ A_27b ) @ ( arr @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) @ ( arr @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ bool ) @ bool ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(tp_c_2Efinite__map_2Efmap__REP,type,
% 5.66/5.93 c_2Efinite__map_2Efmap__REP: del > del > $i ).
% 5.66/5.93
% 5.66/5.93 thf(mem_c_2Efinite__map_2Efmap__REP,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Efinite__map_2Efmap__REP @ A_27a @ A_27b ) @ ( arr @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) @ ( arr @ A_27a @ ( ty_2Esum_2Esum @ A_27b @ ty_2Eone_2Eone ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(tp_c_2Efinite__map_2Efmap__inverse,type,
% 5.66/5.93 c_2Efinite__map_2Efmap__inverse: del > del > $i ).
% 5.66/5.93
% 5.66/5.93 thf(mem_c_2Efinite__map_2Efmap__inverse,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Efinite__map_2Efmap__inverse @ A_27a @ A_27b ) @ ( arr @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) @ ( arr @ ( ty_2Efinite__map_2Efmap @ A_27b @ A_27a ) @ bool ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(tp_c_2Efinite__map_2Efmap__rel,type,
% 5.66/5.93 c_2Efinite__map_2Efmap__rel: del > del > del > $i ).
% 5.66/5.93
% 5.66/5.93 thf(mem_c_2Efinite__map_2Efmap__rel,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,A_27c: del] : ( mem @ ( c_2Efinite__map_2Efmap__rel @ A_27a @ A_27b @ A_27c ) @ ( arr @ ( arr @ A_27a @ ( arr @ A_27b @ bool ) ) @ ( arr @ ( ty_2Efinite__map_2Efmap @ A_27c @ A_27a ) @ ( arr @ ( ty_2Efinite__map_2Efmap @ A_27c @ A_27b ) @ bool ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(tp_c_2Efinite__map_2Efmap__size,type,
% 5.66/5.93 c_2Efinite__map_2Efmap__size: del > del > $i ).
% 5.66/5.93
% 5.66/5.93 thf(mem_c_2Efinite__map_2Efmap__size,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Efinite__map_2Efmap__size @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ ty_2Enum_2Enum ) @ ( arr @ ( arr @ A_27b @ ty_2Enum_2Enum ) @ ( arr @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) @ ty_2Enum_2Enum ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(tp_c_2Efinite__map_2Eis__fmap,type,
% 5.66/5.93 c_2Efinite__map_2Eis__fmap: del > del > $i ).
% 5.66/5.93
% 5.66/5.93 thf(mem_c_2Efinite__map_2Eis__fmap,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del] : ( mem @ ( c_2Efinite__map_2Eis__fmap @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ ( ty_2Esum_2Esum @ A_27b @ ty_2Eone_2Eone ) ) @ bool ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(tp_c_2Efinite__map_2Eo__f,type,
% 5.66/5.93 c_2Efinite__map_2Eo__f: del > del > del > $i ).
% 5.66/5.93
% 5.66/5.93 thf(mem_c_2Efinite__map_2Eo__f,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,A_27c: del] : ( mem @ ( c_2Efinite__map_2Eo__f @ A_27a @ A_27b @ A_27c ) @ ( arr @ ( arr @ A_27b @ A_27c ) @ ( arr @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27c ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(ax_thm_2Efinite__map_2Eis__fmap__def,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del] :
% 5.66/5.93 ( ( c_2Efinite__map_2Eis__fmap @ A_27a @ A_27b )
% 5.66/5.93 = ( lam @ ( arr @ A_27a @ ( ty_2Esum_2Esum @ A_27b @ ty_2Eone_2Eone ) )
% 5.66/5.93 @ ^ [V0a0: $i] :
% 5.66/5.93 ( ap @ ( c_2Ebool_2E_21 @ ( arr @ ( arr @ A_27a @ ( ty_2Esum_2Esum @ A_27b @ ty_2Eone_2Eone ) ) @ bool ) )
% 5.66/5.93 @ ( lam @ ( arr @ ( arr @ A_27a @ ( ty_2Esum_2Esum @ A_27b @ ty_2Eone_2Eone ) ) @ bool )
% 5.66/5.93 @ ^ [V1is__fmap_27: $i] :
% 5.66/5.93 ( ap
% 5.66/5.93 @ ( ap @ c_2Emin_2E_3D_3D_3E
% 5.66/5.93 @ ( ap @ ( c_2Ebool_2E_21 @ ( arr @ A_27a @ ( ty_2Esum_2Esum @ A_27b @ ty_2Eone_2Eone ) ) )
% 5.66/5.93 @ ( lam @ ( arr @ A_27a @ ( ty_2Esum_2Esum @ A_27b @ ty_2Eone_2Eone ) )
% 5.66/5.93 @ ^ [V2a0: $i] :
% 5.66/5.93 ( ap
% 5.66/5.93 @ ( ap @ c_2Emin_2E_3D_3D_3E
% 5.66/5.93 @ ( ap
% 5.66/5.93 @ ( ap @ c_2Ebool_2E_5C_2F
% 5.66/5.93 @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( arr @ A_27a @ ( ty_2Esum_2Esum @ A_27b @ ty_2Eone_2Eone ) ) ) @ V2a0 )
% 5.66/5.93 @ ( lam @ A_27a
% 5.66/5.93 @ ^ [V3a: $i] : ( ap @ ( c_2Esum_2EINR @ A_27b @ ty_2Eone_2Eone ) @ ( inj__ty_2Eone_2Eone @ fo__c_2Eone_2Eone ) ) ) ) )
% 5.66/5.93 @ ( ap @ ( c_2Ebool_2E_3F @ ( arr @ A_27a @ ( ty_2Esum_2Esum @ A_27b @ ty_2Eone_2Eone ) ) )
% 5.66/5.93 @ ( lam @ ( arr @ A_27a @ ( ty_2Esum_2Esum @ A_27b @ ty_2Eone_2Eone ) )
% 5.66/5.93 @ ^ [V4f: $i] :
% 5.66/5.93 ( ap @ ( c_2Ebool_2E_3F @ A_27a )
% 5.66/5.93 @ ( lam @ A_27a
% 5.66/5.93 @ ^ [V5a: $i] :
% 5.66/5.93 ( ap @ ( c_2Ebool_2E_3F @ A_27b )
% 5.66/5.93 @ ( lam @ A_27b
% 5.66/5.93 @ ^ [V6b: $i] :
% 5.66/5.93 ( ap
% 5.66/5.93 @ ( ap @ c_2Ebool_2E_2F_5C
% 5.66/5.93 @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ ( arr @ A_27a @ ( ty_2Esum_2Esum @ A_27b @ ty_2Eone_2Eone ) ) ) @ V2a0 )
% 5.66/5.93 @ ( lam @ A_27a
% 5.66/5.93 @ ^ [V7x: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Esum_2Esum @ A_27b @ ty_2Eone_2Eone ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V7x ) @ V5a ) ) @ ( ap @ ( c_2Esum_2EINL @ A_27b @ ty_2Eone_2Eone ) @ V6b ) ) @ ( ap @ V4f @ V7x ) ) ) ) )
% 5.66/5.93 @ ( ap @ V1is__fmap_27 @ V4f ) ) ) ) ) ) ) ) ) )
% 5.66/5.93 @ ( ap @ V1is__fmap_27 @ V2a0 ) ) ) ) )
% 5.66/5.93 @ ( ap @ V1is__fmap_27 @ V0a0 ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2Eis__fmap__rules,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del] :
% 5.66/5.93 ( ( p
% 5.66/5.93 @ ( ap @ ( c_2Efinite__map_2Eis__fmap @ A_27a @ A_27b )
% 5.66/5.93 @ ( lam @ A_27a
% 5.66/5.93 @ ^ [V0a: $i] : ( ap @ ( c_2Esum_2EINR @ A_27b @ ty_2Eone_2Eone ) @ ( inj__ty_2Eone_2Eone @ fo__c_2Eone_2Eone ) ) ) ) )
% 5.66/5.93 & ! [V1f: $i] :
% 5.66/5.93 ( ( mem @ V1f @ ( arr @ A_27a @ ( ty_2Esum_2Esum @ A_27b @ ty_2Eone_2Eone ) ) )
% 5.66/5.93 => ! [V2a: $i] :
% 5.66/5.93 ( ( mem @ V2a @ A_27a )
% 5.66/5.93 => ! [V3b: $i] :
% 5.66/5.93 ( ( mem @ V3b @ A_27b )
% 5.66/5.93 => ( ( p @ ( ap @ ( c_2Efinite__map_2Eis__fmap @ A_27a @ A_27b ) @ V1f ) )
% 5.66/5.93 => ( p
% 5.66/5.93 @ ( ap @ ( c_2Efinite__map_2Eis__fmap @ A_27a @ A_27b )
% 5.66/5.93 @ ( lam @ A_27a
% 5.66/5.93 @ ^ [V4x: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Esum_2Esum @ A_27b @ ty_2Eone_2Eone ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V4x ) @ V2a ) ) @ ( ap @ ( c_2Esum_2EINL @ A_27b @ ty_2Eone_2Eone ) @ V3b ) ) @ ( ap @ V1f @ V4x ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2Eis__fmap__ind,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0is__fmap_27: $i] :
% 5.66/5.93 ( ( mem @ V0is__fmap_27 @ ( arr @ ( arr @ A_27a @ ( ty_2Esum_2Esum @ A_27b @ ty_2Eone_2Eone ) ) @ bool ) )
% 5.66/5.93 => ( ( ( p
% 5.66/5.93 @ ( ap @ V0is__fmap_27
% 5.66/5.93 @ ( lam @ A_27a
% 5.66/5.93 @ ^ [V1a: $i] : ( ap @ ( c_2Esum_2EINR @ A_27b @ ty_2Eone_2Eone ) @ ( inj__ty_2Eone_2Eone @ fo__c_2Eone_2Eone ) ) ) ) )
% 5.66/5.93 & ! [V2f: $i] :
% 5.66/5.93 ( ( mem @ V2f @ ( arr @ A_27a @ ( ty_2Esum_2Esum @ A_27b @ ty_2Eone_2Eone ) ) )
% 5.66/5.93 => ! [V3a: $i] :
% 5.66/5.93 ( ( mem @ V3a @ A_27a )
% 5.66/5.93 => ! [V4b: $i] :
% 5.66/5.93 ( ( mem @ V4b @ A_27b )
% 5.66/5.93 => ( ( p @ ( ap @ V0is__fmap_27 @ V2f ) )
% 5.66/5.93 => ( p
% 5.66/5.93 @ ( ap @ V0is__fmap_27
% 5.66/5.93 @ ( lam @ A_27a
% 5.66/5.93 @ ^ [V5x: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Esum_2Esum @ A_27b @ ty_2Eone_2Eone ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V5x ) @ V3a ) ) @ ( ap @ ( c_2Esum_2EINL @ A_27b @ ty_2Eone_2Eone ) @ V4b ) ) @ ( ap @ V2f @ V5x ) ) ) ) ) ) ) ) ) )
% 5.66/5.93 => ! [V6a0: $i] :
% 5.66/5.93 ( ( mem @ V6a0 @ ( arr @ A_27a @ ( ty_2Esum_2Esum @ A_27b @ ty_2Eone_2Eone ) ) )
% 5.66/5.93 => ( ( p @ ( ap @ ( c_2Efinite__map_2Eis__fmap @ A_27a @ A_27b ) @ V6a0 ) )
% 5.66/5.93 => ( p @ ( ap @ V0is__fmap_27 @ V6a0 ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2Eis__fmap__strongind,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0is__fmap_27: $i] :
% 5.66/5.93 ( ( mem @ V0is__fmap_27 @ ( arr @ ( arr @ A_27a @ ( ty_2Esum_2Esum @ A_27b @ ty_2Eone_2Eone ) ) @ bool ) )
% 5.66/5.93 => ( ( ( p
% 5.66/5.93 @ ( ap @ V0is__fmap_27
% 5.66/5.93 @ ( lam @ A_27a
% 5.66/5.93 @ ^ [V1a: $i] : ( ap @ ( c_2Esum_2EINR @ A_27b @ ty_2Eone_2Eone ) @ ( inj__ty_2Eone_2Eone @ fo__c_2Eone_2Eone ) ) ) ) )
% 5.66/5.93 & ! [V2f: $i] :
% 5.66/5.93 ( ( mem @ V2f @ ( arr @ A_27a @ ( ty_2Esum_2Esum @ A_27b @ ty_2Eone_2Eone ) ) )
% 5.66/5.93 => ! [V3a: $i] :
% 5.66/5.93 ( ( mem @ V3a @ A_27a )
% 5.66/5.93 => ! [V4b: $i] :
% 5.66/5.93 ( ( mem @ V4b @ A_27b )
% 5.66/5.93 => ( ( ( p @ ( ap @ ( c_2Efinite__map_2Eis__fmap @ A_27a @ A_27b ) @ V2f ) )
% 5.66/5.93 & ( p @ ( ap @ V0is__fmap_27 @ V2f ) ) )
% 5.66/5.93 => ( p
% 5.66/5.93 @ ( ap @ V0is__fmap_27
% 5.66/5.93 @ ( lam @ A_27a
% 5.66/5.93 @ ^ [V5x: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Esum_2Esum @ A_27b @ ty_2Eone_2Eone ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V5x ) @ V3a ) ) @ ( ap @ ( c_2Esum_2EINL @ A_27b @ ty_2Eone_2Eone ) @ V4b ) ) @ ( ap @ V2f @ V5x ) ) ) ) ) ) ) ) ) )
% 5.66/5.93 => ! [V6a0: $i] :
% 5.66/5.93 ( ( mem @ V6a0 @ ( arr @ A_27a @ ( ty_2Esum_2Esum @ A_27b @ ty_2Eone_2Eone ) ) )
% 5.66/5.93 => ( ( p @ ( ap @ ( c_2Efinite__map_2Eis__fmap @ A_27a @ A_27b ) @ V6a0 ) )
% 5.66/5.93 => ( p @ ( ap @ V0is__fmap_27 @ V6a0 ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2Eis__fmap__cases,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0a0: $i] :
% 5.66/5.93 ( ( mem @ V0a0 @ ( arr @ A_27a @ ( ty_2Esum_2Esum @ A_27b @ ty_2Eone_2Eone ) ) )
% 5.66/5.93 => ( ( p @ ( ap @ ( c_2Efinite__map_2Eis__fmap @ A_27a @ A_27b ) @ V0a0 ) )
% 5.66/5.93 <=> ( ( V0a0
% 5.66/5.93 = ( lam @ A_27a
% 5.66/5.93 @ ^ [V1a: $i] : ( ap @ ( c_2Esum_2EINR @ A_27b @ ty_2Eone_2Eone ) @ ( inj__ty_2Eone_2Eone @ fo__c_2Eone_2Eone ) ) ) )
% 5.66/5.93 | ? [V2f: $i] :
% 5.66/5.93 ( ( mem @ V2f @ ( arr @ A_27a @ ( ty_2Esum_2Esum @ A_27b @ ty_2Eone_2Eone ) ) )
% 5.66/5.93 & ? [V3a: $i] :
% 5.66/5.93 ( ( mem @ V3a @ A_27a )
% 5.66/5.93 & ? [V4b: $i] :
% 5.66/5.93 ( ( mem @ V4b @ A_27b )
% 5.66/5.93 & ( V0a0
% 5.66/5.93 = ( lam @ A_27a
% 5.66/5.93 @ ^ [V5x: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Esum_2Esum @ A_27b @ ty_2Eone_2Eone ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V5x ) @ V3a ) ) @ ( ap @ ( c_2Esum_2EINL @ A_27b @ ty_2Eone_2Eone ) @ V4b ) ) @ ( ap @ V2f @ V5x ) ) ) )
% 5.66/5.93 & ( p @ ( ap @ ( c_2Efinite__map_2Eis__fmap @ A_27a @ A_27b ) @ V2f ) ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(ax_thm_2Efinite__map_2Efmap__TY__DEF,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del] :
% 5.66/5.93 ? [V0rep: $i] :
% 5.66/5.93 ( ( mem @ V0rep @ ( arr @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) @ ( arr @ A_27a @ ( ty_2Esum_2Esum @ A_27b @ ty_2Eone_2Eone ) ) ) )
% 5.66/5.93 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2ETYPE__DEFINITION @ ( arr @ A_27a @ ( ty_2Esum_2Esum @ A_27b @ ty_2Eone_2Eone ) ) @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) ) @ ( c_2Efinite__map_2Eis__fmap @ A_27a @ A_27b ) ) @ V0rep ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(ax_thm_2Efinite__map_2Efmap__ISO__DEF,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del] :
% 5.66/5.93 ( ! [V0a: $i] :
% 5.66/5.93 ( ( mem @ V0a @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ( ( ap @ ( c_2Efinite__map_2Efmap__ABS @ A_27a @ A_27b ) @ ( ap @ ( c_2Efinite__map_2Efmap__REP @ A_27a @ A_27b ) @ V0a ) )
% 5.66/5.93 = V0a ) )
% 5.66/5.93 & ! [V1r: $i] :
% 5.66/5.93 ( ( mem @ V1r @ ( arr @ A_27a @ ( ty_2Esum_2Esum @ A_27b @ ty_2Eone_2Eone ) ) )
% 5.66/5.93 => ( ( p @ ( ap @ ( c_2Efinite__map_2Eis__fmap @ A_27a @ A_27b ) @ V1r ) )
% 5.66/5.93 <=> ( ( ap @ ( c_2Efinite__map_2Efmap__REP @ A_27a @ A_27b ) @ ( ap @ ( c_2Efinite__map_2Efmap__ABS @ A_27a @ A_27b ) @ V1r ) )
% 5.66/5.93 = V1r ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(ax_thm_2Efinite__map_2EFUPDATE__DEF,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.93 ( ( mem @ V0f @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V1x: $i] :
% 5.66/5.93 ( ( mem @ V1x @ A_27a )
% 5.66/5.93 => ! [V2y: $i] :
% 5.66/5.93 ( ( mem @ V2y @ A_27b )
% 5.66/5.93 => ( ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE @ A_27a @ A_27b ) @ V0f ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V1x ) @ V2y ) )
% 5.66/5.93 = ( ap @ ( c_2Efinite__map_2Efmap__ABS @ A_27a @ A_27b )
% 5.66/5.93 @ ( lam @ A_27a
% 5.66/5.93 @ ^ [V3a: $i] : ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Esum_2Esum @ A_27b @ ty_2Eone_2Eone ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V3a ) @ V1x ) ) @ ( ap @ ( c_2Esum_2EINL @ A_27b @ ty_2Eone_2Eone ) @ V2y ) ) @ ( ap @ ( ap @ ( c_2Efinite__map_2Efmap__REP @ A_27a @ A_27b ) @ V0f ) @ V3a ) ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(ax_thm_2Efinite__map_2EFEMPTY__DEF,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del] :
% 5.66/5.93 ( ( c_2Efinite__map_2EFEMPTY @ A_27a @ A_27b )
% 5.66/5.93 = ( ap @ ( c_2Efinite__map_2Efmap__ABS @ A_27a @ A_27b )
% 5.66/5.93 @ ( lam @ A_27a
% 5.66/5.93 @ ^ [V0a: $i] : ( ap @ ( c_2Esum_2EINR @ A_27b @ ty_2Eone_2Eone ) @ ( inj__ty_2Eone_2Eone @ fo__c_2Eone_2Eone ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(ax_thm_2Efinite__map_2EFAPPLY__DEF,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.93 ( ( mem @ V0f @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V1x: $i] :
% 5.66/5.93 ( ( mem @ V1x @ A_27a )
% 5.66/5.93 => ( ( ap @ ( ap @ ( c_2Efinite__map_2EFAPPLY @ A_27a @ A_27b ) @ V0f ) @ V1x )
% 5.66/5.93 = ( ap @ ( c_2Esum_2EOUTL @ A_27b @ ty_2Eone_2Eone ) @ ( ap @ ( ap @ ( c_2Efinite__map_2Efmap__REP @ A_27a @ A_27b ) @ V0f ) @ V1x ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(ax_thm_2Efinite__map_2EFDOM__DEF,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.93 ( ( mem @ V0f @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V1x: $i] :
% 5.66/5.93 ( ( mem @ V1x @ A_27a )
% 5.66/5.93 => ( ( p @ ( ap @ ( ap @ ( c_2Efinite__map_2EFDOM @ A_27a @ A_27b ) @ V0f ) @ V1x ) )
% 5.66/5.93 <=> ( p @ ( ap @ ( c_2Esum_2EISL @ A_27b @ ty_2Eone_2Eone ) @ ( ap @ ( ap @ ( c_2Efinite__map_2Efmap__REP @ A_27a @ A_27b ) @ V0f ) @ V1x ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EFAPPLY__FUPDATE,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.93 ( ( mem @ V0f @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V1x: $i] :
% 5.66/5.93 ( ( mem @ V1x @ A_27a )
% 5.66/5.93 => ! [V2y: $i] :
% 5.66/5.93 ( ( mem @ V2y @ A_27b )
% 5.66/5.93 => ( ( ap @ ( ap @ ( c_2Efinite__map_2EFAPPLY @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE @ A_27a @ A_27b ) @ V0f ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V1x ) @ V2y ) ) ) @ V1x )
% 5.66/5.93 = V2y ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2ENOT__EQ__FAPPLY,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.93 ( ( mem @ V0f @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V1a: $i] :
% 5.66/5.93 ( ( mem @ V1a @ A_27a )
% 5.66/5.93 => ! [V2x: $i] :
% 5.66/5.93 ( ( mem @ V2x @ A_27a )
% 5.66/5.93 => ! [V3y: $i] :
% 5.66/5.93 ( ( mem @ V3y @ A_27b )
% 5.66/5.93 => ( ( V1a != V2x )
% 5.66/5.93 => ( ( ap @ ( ap @ ( c_2Efinite__map_2EFAPPLY @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE @ A_27a @ A_27b ) @ V0f ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V2x ) @ V3y ) ) ) @ V1a )
% 5.66/5.93 = ( ap @ ( ap @ ( c_2Efinite__map_2EFAPPLY @ A_27a @ A_27b ) @ V0f ) @ V1a ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EFUPDATE__COMMUTES,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.93 ( ( mem @ V0f @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V1a: $i] :
% 5.66/5.93 ( ( mem @ V1a @ A_27a )
% 5.66/5.93 => ! [V2b: $i] :
% 5.66/5.93 ( ( mem @ V2b @ A_27b )
% 5.66/5.93 => ! [V3c: $i] :
% 5.66/5.93 ( ( mem @ V3c @ A_27a )
% 5.66/5.93 => ! [V4d: $i] :
% 5.66/5.93 ( ( mem @ V4d @ A_27b )
% 5.66/5.93 => ( ( V1a != V3c )
% 5.66/5.93 => ( ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE @ A_27a @ A_27b ) @ V0f ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V1a ) @ V2b ) ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V3c ) @ V4d ) )
% 5.66/5.93 = ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE @ A_27a @ A_27b ) @ V0f ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V3c ) @ V4d ) ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V1a ) @ V2b ) ) ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EFUPDATE__EQ,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.93 ( ( mem @ V0f @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V1a: $i] :
% 5.66/5.93 ( ( mem @ V1a @ A_27a )
% 5.66/5.93 => ! [V2b: $i] :
% 5.66/5.93 ( ( mem @ V2b @ A_27b )
% 5.66/5.93 => ! [V3c: $i] :
% 5.66/5.93 ( ( mem @ V3c @ A_27b )
% 5.66/5.93 => ( ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE @ A_27a @ A_27b ) @ V0f ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V1a ) @ V2b ) ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V1a ) @ V3c ) )
% 5.66/5.93 = ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE @ A_27a @ A_27b ) @ V0f ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V1a ) @ V3c ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EFDOM__FEMPTY,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del] :
% 5.66/5.93 ( ( ap @ ( c_2Efinite__map_2EFDOM @ A_27a @ A_27b ) @ ( c_2Efinite__map_2EFEMPTY @ A_27a @ A_27b ) )
% 5.66/5.93 = ( c_2Epred__set_2EEMPTY @ A_27a ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EFDOM__FUPDATE,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.93 ( ( mem @ V0f @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V1a: $i] :
% 5.66/5.93 ( ( mem @ V1a @ A_27a )
% 5.66/5.93 => ! [V2b: $i] :
% 5.66/5.93 ( ( mem @ V2b @ A_27b )
% 5.66/5.93 => ( ( ap @ ( c_2Efinite__map_2EFDOM @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE @ A_27a @ A_27b ) @ V0f ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V1a ) @ V2b ) ) )
% 5.66/5.93 = ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V1a ) @ ( ap @ ( c_2Efinite__map_2EFDOM @ A_27a @ A_27b ) @ V0f ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EFAPPLY__FUPDATE__THM,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.93 ( ( mem @ V0f @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V1a: $i] :
% 5.66/5.93 ( ( mem @ V1a @ A_27a )
% 5.66/5.93 => ! [V2b: $i] :
% 5.66/5.93 ( ( mem @ V2b @ A_27b )
% 5.66/5.93 => ! [V3x: $i] :
% 5.66/5.93 ( ( mem @ V3x @ A_27a )
% 5.66/5.93 => ( ( ap @ ( ap @ ( c_2Efinite__map_2EFAPPLY @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE @ A_27a @ A_27b ) @ V0f ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V1a ) @ V2b ) ) ) @ V3x )
% 5.66/5.93 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ A_27b ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V3x ) @ V1a ) ) @ V2b ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EFAPPLY @ A_27a @ A_27b ) @ V0f ) @ V3x ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2ENOT__EQ__FEMPTY__FUPDATE,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.93 ( ( mem @ V0f @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V1a: $i] :
% 5.66/5.93 ( ( mem @ V1a @ A_27a )
% 5.66/5.93 => ! [V2b: $i] :
% 5.66/5.93 ( ( mem @ V2b @ A_27b )
% 5.66/5.93 => ( ( c_2Efinite__map_2EFEMPTY @ A_27a @ A_27b )
% 5.66/5.93 != ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE @ A_27a @ A_27b ) @ V0f ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V1a ) @ V2b ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EFDOM__EQ__FDOM__FUPDATE,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.93 ( ( mem @ V0f @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V1x: $i] :
% 5.66/5.93 ( ( mem @ V1x @ A_27a )
% 5.66/5.93 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V1x ) @ ( ap @ ( c_2Efinite__map_2EFDOM @ A_27a @ A_27b ) @ V0f ) ) )
% 5.66/5.93 => ! [V2y: $i] :
% 5.66/5.93 ( ( mem @ V2y @ A_27b )
% 5.66/5.93 => ( ( ap @ ( c_2Efinite__map_2EFDOM @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE @ A_27a @ A_27b ) @ V0f ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V1x ) @ V2y ) ) )
% 5.66/5.93 = ( ap @ ( c_2Efinite__map_2EFDOM @ A_27a @ A_27b ) @ V0f ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2Efmap__SIMPLE__INDUCT,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.66/5.93 ( ( mem @ V0P @ ( arr @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) @ bool ) )
% 5.66/5.93 => ( ( ( p @ ( ap @ V0P @ ( c_2Efinite__map_2EFEMPTY @ A_27a @ A_27b ) ) )
% 5.66/5.93 & ! [V1f: $i] :
% 5.66/5.93 ( ( mem @ V1f @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ( ( p @ ( ap @ V0P @ V1f ) )
% 5.66/5.93 => ! [V2x: $i] :
% 5.66/5.93 ( ( mem @ V2x @ A_27a )
% 5.66/5.93 => ! [V3y: $i] :
% 5.66/5.93 ( ( mem @ V3y @ A_27b )
% 5.66/5.93 => ( p @ ( ap @ V0P @ ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE @ A_27a @ A_27b ) @ V1f ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V2x ) @ V3y ) ) ) ) ) ) ) ) )
% 5.66/5.93 => ! [V4f: $i] :
% 5.66/5.93 ( ( mem @ V4f @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ( p @ ( ap @ V0P @ V4f ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EFDOM__EQ__EMPTY,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.93 ( ( mem @ V0f @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ( ( ( ap @ ( c_2Efinite__map_2EFDOM @ A_27a @ A_27b ) @ V0f )
% 5.66/5.93 = ( c_2Epred__set_2EEMPTY @ A_27a ) )
% 5.66/5.93 <=> ( V0f
% 5.66/5.93 = ( c_2Efinite__map_2EFEMPTY @ A_27a @ A_27b ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EFDOM__EQ__EMPTY__SYM,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.93 ( ( mem @ V0f @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ( ( ( c_2Epred__set_2EEMPTY @ A_27a )
% 5.66/5.93 = ( ap @ ( c_2Efinite__map_2EFDOM @ A_27a @ A_27b ) @ V0f ) )
% 5.66/5.93 <=> ( V0f
% 5.66/5.93 = ( c_2Efinite__map_2EFEMPTY @ A_27a @ A_27b ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EFDOM__F__FEMPTY1,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.93 ( ( mem @ V0f @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ( ! [V1a: $i] :
% 5.66/5.93 ( ( mem @ V1a @ A_27a )
% 5.66/5.93 => ~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V1a ) @ ( ap @ ( c_2Efinite__map_2EFDOM @ A_27a @ A_27b ) @ V0f ) ) ) )
% 5.66/5.93 <=> ( V0f
% 5.66/5.93 = ( c_2Efinite__map_2EFEMPTY @ A_27a @ A_27b ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EFDOM__FINITE,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0fm: $i] :
% 5.66/5.93 ( ( mem @ V0fm @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ ( ap @ ( c_2Efinite__map_2EFDOM @ A_27a @ A_27b ) @ V0fm ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(ax_thm_2Efinite__map_2EFCARD__DEF,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0fm: $i] :
% 5.66/5.93 ( ( mem @ V0fm @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Efinite__map_2EFCARD @ A_27a @ A_27b ) @ V0fm ) )
% 5.66/5.93 = ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Epred__set_2ECARD @ A_27a ) @ ( ap @ ( c_2Efinite__map_2EFDOM @ A_27a @ A_27b ) @ V0fm ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EFCARD__FEMPTY,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del] :
% 5.66/5.93 ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Efinite__map_2EFCARD @ A_27a @ A_27b ) @ ( c_2Efinite__map_2EFEMPTY @ A_27a @ A_27b ) ) )
% 5.66/5.93 = fo__c_2Enum_2E0 ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EFCARD__FUPDATE,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0fm: $i] :
% 5.66/5.93 ( ( mem @ V0fm @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V1a: $i] :
% 5.66/5.93 ( ( mem @ V1a @ A_27a )
% 5.66/5.93 => ! [V2b: $i] :
% 5.66/5.93 ( ( mem @ V2b @ A_27b )
% 5.66/5.93 => ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Efinite__map_2EFCARD @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE @ A_27a @ A_27b ) @ V0fm ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V1a ) @ V2b ) ) ) )
% 5.66/5.93 = ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ty_2Enum_2Enum ) @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V1a ) @ ( ap @ ( c_2Efinite__map_2EFDOM @ A_27a @ A_27b ) @ V0fm ) ) ) @ ( ap @ ( c_2Efinite__map_2EFCARD @ A_27a @ A_27b ) @ V0fm ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( ap @ c_2Earithmetic_2ENUMERAL @ ( ap @ c_2Earithmetic_2EBIT1 @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) @ ( ap @ ( c_2Efinite__map_2EFCARD @ A_27a @ A_27b ) @ V0fm ) ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EFCARD__0__FEMPTY,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.93 ( ( mem @ V0f @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Efinite__map_2EFCARD @ A_27a @ A_27b ) @ V0f ) )
% 5.66/5.93 = fo__c_2Enum_2E0 )
% 5.66/5.93 <=> ( V0f
% 5.66/5.93 = ( c_2Efinite__map_2EFEMPTY @ A_27a @ A_27b ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EFCARD__SUC,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.93 ( ( mem @ V0f @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V1n: tp__ty_2Enum_2Enum] :
% 5.66/5.93 ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Efinite__map_2EFCARD @ A_27a @ A_27b ) @ V0f ) )
% 5.66/5.93 = ( surj__ty_2Enum_2Enum @ ( ap @ c_2Enum_2ESUC @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
% 5.66/5.93 <=> ? [V2f_27: $i] :
% 5.66/5.93 ( ( mem @ V2f_27 @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 & ? [V3x: $i] :
% 5.66/5.93 ( ( mem @ V3x @ A_27a )
% 5.66/5.93 & ? [V4y: $i] :
% 5.66/5.93 ( ( mem @ V4y @ A_27b )
% 5.66/5.93 & ~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3x ) @ ( ap @ ( c_2Efinite__map_2EFDOM @ A_27a @ A_27b ) @ V2f_27 ) ) )
% 5.66/5.93 & ( ( surj__ty_2Enum_2Enum @ ( ap @ ( c_2Efinite__map_2EFCARD @ A_27a @ A_27b ) @ V2f_27 ) )
% 5.66/5.93 = V1n )
% 5.66/5.93 & ( V0f
% 5.66/5.93 = ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE @ A_27a @ A_27b ) @ V2f_27 ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V3x ) @ V4y ) ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2Efmap__INDUCT,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.66/5.93 ( ( mem @ V0P @ ( arr @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) @ bool ) )
% 5.66/5.93 => ( ( ( p @ ( ap @ V0P @ ( c_2Efinite__map_2EFEMPTY @ A_27a @ A_27b ) ) )
% 5.66/5.93 & ! [V1f: $i] :
% 5.66/5.93 ( ( mem @ V1f @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ( ( p @ ( ap @ V0P @ V1f ) )
% 5.66/5.93 => ! [V2x: $i] :
% 5.66/5.93 ( ( mem @ V2x @ A_27a )
% 5.66/5.93 => ! [V3y: $i] :
% 5.66/5.93 ( ( mem @ V3y @ A_27b )
% 5.66/5.93 => ( ~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ ( ap @ ( c_2Efinite__map_2EFDOM @ A_27a @ A_27b ) @ V1f ) ) )
% 5.66/5.93 => ( p @ ( ap @ V0P @ ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE @ A_27a @ A_27b ) @ V1f ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V2x ) @ V3y ) ) ) ) ) ) ) ) ) )
% 5.66/5.93 => ! [V4f: $i] :
% 5.66/5.93 ( ( mem @ V4f @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ( p @ ( ap @ V0P @ V4f ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EFM__PULL__APART,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0fm: $i] :
% 5.66/5.93 ( ( mem @ V0fm @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V1k: $i] :
% 5.66/5.93 ( ( mem @ V1k @ A_27a )
% 5.66/5.93 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V1k ) @ ( ap @ ( c_2Efinite__map_2EFDOM @ A_27a @ A_27b ) @ V0fm ) ) )
% 5.66/5.93 => ? [V2fm0: $i] :
% 5.66/5.93 ( ( mem @ V2fm0 @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 & ? [V3v: $i] :
% 5.66/5.93 ( ( mem @ V3v @ A_27b )
% 5.66/5.93 & ( V0fm
% 5.66/5.93 = ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE @ A_27a @ A_27b ) @ V2fm0 ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V1k ) @ V3v ) ) )
% 5.66/5.93 & ~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V1k ) @ ( ap @ ( c_2Efinite__map_2EFDOM @ A_27a @ A_27b ) @ V2fm0 ) ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2ENOT__FDOM__FAPPLY__FEMPTY,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.93 ( ( mem @ V0f @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V1x: $i] :
% 5.66/5.93 ( ( mem @ V1x @ A_27a )
% 5.66/5.93 => ( ~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V1x ) @ ( ap @ ( c_2Efinite__map_2EFDOM @ A_27a @ A_27b ) @ V0f ) ) )
% 5.66/5.93 => ( ( ap @ ( ap @ ( c_2Efinite__map_2EFAPPLY @ A_27a @ A_27b ) @ V0f ) @ V1x )
% 5.66/5.93 = ( ap @ ( ap @ ( c_2Efinite__map_2EFAPPLY @ A_27a @ A_27b ) @ ( c_2Efinite__map_2EFEMPTY @ A_27a @ A_27b ) ) @ V1x ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2Efmap__EQ,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.93 ( ( mem @ V0f @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V1g: $i] :
% 5.66/5.93 ( ( mem @ V1g @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ( ( ( ( ap @ ( c_2Efinite__map_2EFDOM @ A_27a @ A_27b ) @ V0f )
% 5.66/5.93 = ( ap @ ( c_2Efinite__map_2EFDOM @ A_27a @ A_27b ) @ V1g ) )
% 5.66/5.93 & ( ( ap @ ( c_2Efinite__map_2EFAPPLY @ A_27a @ A_27b ) @ V0f )
% 5.66/5.93 = ( ap @ ( c_2Efinite__map_2EFAPPLY @ A_27a @ A_27b ) @ V1g ) ) )
% 5.66/5.93 <=> ( V0f = V1g ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2Efmap__EQ__THM,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.93 ( ( mem @ V0f @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V1g: $i] :
% 5.66/5.93 ( ( mem @ V1g @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ( ( ( ( ap @ ( c_2Efinite__map_2EFDOM @ A_27a @ A_27b ) @ V0f )
% 5.66/5.93 = ( ap @ ( c_2Efinite__map_2EFDOM @ A_27a @ A_27b ) @ V1g ) )
% 5.66/5.93 & ! [V2x: $i] :
% 5.66/5.93 ( ( mem @ V2x @ A_27a )
% 5.66/5.93 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ ( ap @ ( c_2Efinite__map_2EFDOM @ A_27a @ A_27b ) @ V0f ) ) )
% 5.66/5.93 => ( ( ap @ ( ap @ ( c_2Efinite__map_2EFAPPLY @ A_27a @ A_27b ) @ V0f ) @ V2x )
% 5.66/5.93 = ( ap @ ( ap @ ( c_2Efinite__map_2EFAPPLY @ A_27a @ A_27b ) @ V1g ) @ V2x ) ) ) ) )
% 5.66/5.93 <=> ( V0f = V1g ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2Efmap__EXT,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.93 ( ( mem @ V0f @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V1g: $i] :
% 5.66/5.93 ( ( mem @ V1g @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ( ( V0f = V1g )
% 5.66/5.93 <=> ( ( ( ap @ ( c_2Efinite__map_2EFDOM @ A_27a @ A_27b ) @ V0f )
% 5.66/5.93 = ( ap @ ( c_2Efinite__map_2EFDOM @ A_27a @ A_27b ) @ V1g ) )
% 5.66/5.93 & ! [V2x: $i] :
% 5.66/5.93 ( ( mem @ V2x @ A_27a )
% 5.66/5.93 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ ( ap @ ( c_2Efinite__map_2EFDOM @ A_27a @ A_27b ) @ V0f ) ) )
% 5.66/5.93 => ( ( ap @ ( ap @ ( c_2Efinite__map_2EFAPPLY @ A_27a @ A_27b ) @ V0f ) @ V2x )
% 5.66/5.93 = ( ap @ ( ap @ ( c_2Efinite__map_2EFAPPLY @ A_27a @ A_27b ) @ V1g ) @ V2x ) ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(ax_thm_2Efinite__map_2ESUBMAP__DEF,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.93 ( ( mem @ V0f @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V1g: $i] :
% 5.66/5.93 ( ( mem @ V1g @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ( ( p @ ( ap @ ( ap @ ( c_2Efinite__map_2ESUBMAP @ A_27a @ A_27b ) @ V0f ) @ V1g ) )
% 5.66/5.93 <=> ! [V2x: $i] :
% 5.66/5.93 ( ( mem @ V2x @ A_27a )
% 5.66/5.93 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ ( ap @ ( c_2Efinite__map_2EFDOM @ A_27a @ A_27b ) @ V0f ) ) )
% 5.66/5.93 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ ( ap @ ( c_2Efinite__map_2EFDOM @ A_27a @ A_27b ) @ V1g ) ) )
% 5.66/5.93 & ( ( ap @ ( ap @ ( c_2Efinite__map_2EFAPPLY @ A_27a @ A_27b ) @ V0f ) @ V2x )
% 5.66/5.93 = ( ap @ ( ap @ ( c_2Efinite__map_2EFAPPLY @ A_27a @ A_27b ) @ V1g ) @ V2x ) ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2ESUBMAP__FEMPTY,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.93 ( ( mem @ V0f @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ( p @ ( ap @ ( ap @ ( c_2Efinite__map_2ESUBMAP @ A_27a @ A_27b ) @ ( c_2Efinite__map_2EFEMPTY @ A_27a @ A_27b ) ) @ V0f ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2ESUBMAP__REFL,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.93 ( ( mem @ V0f @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ( p @ ( ap @ ( ap @ ( c_2Efinite__map_2ESUBMAP @ A_27a @ A_27b ) @ V0f ) @ V0f ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2ESUBMAP__ANTISYM,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.93 ( ( mem @ V0f @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V1g: $i] :
% 5.66/5.93 ( ( mem @ V1g @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ( ( ( p @ ( ap @ ( ap @ ( c_2Efinite__map_2ESUBMAP @ A_27a @ A_27b ) @ V0f ) @ V1g ) )
% 5.66/5.93 & ( p @ ( ap @ ( ap @ ( c_2Efinite__map_2ESUBMAP @ A_27a @ A_27b ) @ V1g ) @ V0f ) ) )
% 5.66/5.93 <=> ( V0f = V1g ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2ESUBMAP__TRANS,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.93 ( ( mem @ V0f @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V1g: $i] :
% 5.66/5.93 ( ( mem @ V1g @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V2h: $i] :
% 5.66/5.93 ( ( mem @ V2h @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ( ( ( p @ ( ap @ ( ap @ ( c_2Efinite__map_2ESUBMAP @ A_27a @ A_27b ) @ V0f ) @ V1g ) )
% 5.66/5.93 & ( p @ ( ap @ ( ap @ ( c_2Efinite__map_2ESUBMAP @ A_27a @ A_27b ) @ V1g ) @ V2h ) ) )
% 5.66/5.93 => ( p @ ( ap @ ( ap @ ( c_2Efinite__map_2ESUBMAP @ A_27a @ A_27b ) @ V0f ) @ V2h ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EEQ__FDOM__SUBMAP,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.93 ( ( mem @ V0f @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V1g: $i] :
% 5.66/5.93 ( ( mem @ V1g @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ( ( V0f = V1g )
% 5.66/5.93 <=> ( ( p @ ( ap @ ( ap @ ( c_2Efinite__map_2ESUBMAP @ A_27a @ A_27b ) @ V0f ) @ V1g ) )
% 5.66/5.93 & ( ( ap @ ( c_2Efinite__map_2EFDOM @ A_27a @ A_27b ) @ V0f )
% 5.66/5.93 = ( ap @ ( c_2Efinite__map_2EFDOM @ A_27a @ A_27b ) @ V1g ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2ESUBMAP__FUPDATE__EQN,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.93 ( ( mem @ V0f @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V1x: $i] :
% 5.66/5.93 ( ( mem @ V1x @ A_27a )
% 5.66/5.93 => ! [V2y: $i] :
% 5.66/5.93 ( ( mem @ V2y @ A_27b )
% 5.66/5.93 => ( ( p @ ( ap @ ( ap @ ( c_2Efinite__map_2ESUBMAP @ A_27a @ A_27b ) @ V0f ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE @ A_27a @ A_27b ) @ V0f ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V1x ) @ V2y ) ) ) )
% 5.66/5.93 <=> ( ~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V1x ) @ ( ap @ ( c_2Efinite__map_2EFDOM @ A_27a @ A_27b ) @ V0f ) ) )
% 5.66/5.93 | ( ( ( ap @ ( ap @ ( c_2Efinite__map_2EFAPPLY @ A_27a @ A_27b ) @ V0f ) @ V1x )
% 5.66/5.93 = V2y )
% 5.66/5.93 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V1x ) @ ( ap @ ( c_2Efinite__map_2EFDOM @ A_27a @ A_27b ) @ V0f ) ) ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(ax_thm_2Efinite__map_2EDRESTRICT__DEF,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.93 ( ( mem @ V0f @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V1r: $i] :
% 5.66/5.93 ( ( mem @ V1r @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ( ( ( ap @ ( c_2Efinite__map_2EFDOM @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EDRESTRICT @ A_27a @ A_27b ) @ V0f ) @ V1r ) )
% 5.66/5.93 = ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ ( ap @ ( c_2Efinite__map_2EFDOM @ A_27a @ A_27b ) @ V0f ) ) @ V1r ) )
% 5.66/5.93 & ! [V2x: $i] :
% 5.66/5.93 ( ( mem @ V2x @ A_27a )
% 5.66/5.93 => ( ( ap @ ( ap @ ( c_2Efinite__map_2EFAPPLY @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EDRESTRICT @ A_27a @ A_27b ) @ V0f ) @ V1r ) ) @ V2x )
% 5.66/5.93 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ A_27b ) @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ ( ap @ ( c_2Efinite__map_2EFDOM @ A_27a @ A_27b ) @ V0f ) ) @ V1r ) ) ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EFAPPLY @ A_27a @ A_27b ) @ V0f ) @ V2x ) ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EFAPPLY @ A_27a @ A_27b ) @ ( c_2Efinite__map_2EFEMPTY @ A_27a @ A_27b ) ) @ V2x ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EDRESTRICT__FEMPTY,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0r: $i] :
% 5.66/5.93 ( ( mem @ V0r @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ( ( ap @ ( ap @ ( c_2Efinite__map_2EDRESTRICT @ A_27a @ A_27b ) @ ( c_2Efinite__map_2EFEMPTY @ A_27a @ A_27b ) ) @ V0r )
% 5.66/5.93 = ( c_2Efinite__map_2EFEMPTY @ A_27a @ A_27b ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EDRESTRICT__FUPDATE,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.93 ( ( mem @ V0f @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V1r: $i] :
% 5.66/5.93 ( ( mem @ V1r @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ! [V2x: $i] :
% 5.66/5.93 ( ( mem @ V2x @ A_27a )
% 5.66/5.93 => ! [V3y: $i] :
% 5.66/5.93 ( ( mem @ V3y @ A_27b )
% 5.66/5.93 => ( ( ap @ ( ap @ ( c_2Efinite__map_2EDRESTRICT @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE @ A_27a @ A_27b ) @ V0f ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V2x ) @ V3y ) ) ) @ V1r )
% 5.66/5.93 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V1r ) ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EDRESTRICT @ A_27a @ A_27b ) @ V0f ) @ V1r ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V2x ) @ V3y ) ) ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EDRESTRICT @ A_27a @ A_27b ) @ V0f ) @ V1r ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2ESTRONG__DRESTRICT__FUPDATE,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.93 ( ( mem @ V0f @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V1r: $i] :
% 5.66/5.93 ( ( mem @ V1r @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ! [V2x: $i] :
% 5.66/5.93 ( ( mem @ V2x @ A_27a )
% 5.66/5.93 => ! [V3y: $i] :
% 5.66/5.93 ( ( mem @ V3y @ A_27b )
% 5.66/5.93 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V1r ) )
% 5.66/5.93 => ( ( ap @ ( ap @ ( c_2Efinite__map_2EDRESTRICT @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE @ A_27a @ A_27b ) @ V0f ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V2x ) @ V3y ) ) ) @ V1r )
% 5.66/5.93 = ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EDRESTRICT @ A_27a @ A_27b ) @ V0f ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ A_27a ) @ V1r ) @ V2x ) ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V2x ) @ V3y ) ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EFDOM__DRESTRICT,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.66/5.93 ( ( mem @ V0f @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V1r: $i] :
% 5.66/5.93 ( ( mem @ V1r @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ! [V2x: $i] :
% 5.66/5.93 ( ( mem @ V2x @ A_27c )
% 5.66/5.93 => ( ( ap @ ( c_2Efinite__map_2EFDOM @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EDRESTRICT @ A_27a @ A_27b ) @ V0f ) @ V1r ) )
% 5.66/5.93 = ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ ( ap @ ( c_2Efinite__map_2EFDOM @ A_27a @ A_27b ) @ V0f ) ) @ V1r ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2ENOT__FDOM__DRESTRICT,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.93 ( ( mem @ V0f @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V1x: $i] :
% 5.66/5.93 ( ( mem @ V1x @ A_27a )
% 5.66/5.93 => ( ~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V1x ) @ ( ap @ ( c_2Efinite__map_2EFDOM @ A_27a @ A_27b ) @ V0f ) ) )
% 5.66/5.93 => ( ( ap @ ( ap @ ( c_2Efinite__map_2EDRESTRICT @ A_27a @ A_27b ) @ V0f ) @ ( ap @ ( c_2Epred__set_2ECOMPL @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V1x ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) )
% 5.66/5.93 = V0f ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EDRESTRICT__SUBMAP,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.93 ( ( mem @ V0f @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V1r: $i] :
% 5.66/5.93 ( ( mem @ V1r @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ( p @ ( ap @ ( ap @ ( c_2Efinite__map_2ESUBMAP @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EDRESTRICT @ A_27a @ A_27b ) @ V0f ) @ V1r ) ) @ V0f ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EDRESTRICT__DRESTRICT,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.93 ( ( mem @ V0f @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V1P: $i] :
% 5.66/5.93 ( ( mem @ V1P @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ! [V2Q: $i] :
% 5.66/5.93 ( ( mem @ V2Q @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ( ( ap @ ( ap @ ( c_2Efinite__map_2EDRESTRICT @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EDRESTRICT @ A_27a @ A_27b ) @ V0f ) @ V1P ) ) @ V2Q )
% 5.66/5.93 = ( ap @ ( ap @ ( c_2Efinite__map_2EDRESTRICT @ A_27a @ A_27b ) @ V0f ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ V1P ) @ V2Q ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EDRESTRICT__IS__FEMPTY,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.93 ( ( mem @ V0f @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ( ( ap @ ( ap @ ( c_2Efinite__map_2EDRESTRICT @ A_27a @ A_27b ) @ V0f ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) )
% 5.66/5.93 = ( c_2Efinite__map_2EFEMPTY @ A_27a @ A_27b ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EFUPDATE__DRESTRICT,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.93 ( ( mem @ V0f @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V1x: $i] :
% 5.66/5.93 ( ( mem @ V1x @ A_27a )
% 5.66/5.93 => ! [V2y: $i] :
% 5.66/5.93 ( ( mem @ V2y @ A_27b )
% 5.66/5.93 => ( ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE @ A_27a @ A_27b ) @ V0f ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V1x ) @ V2y ) )
% 5.66/5.93 = ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EDRESTRICT @ A_27a @ A_27b ) @ V0f ) @ ( ap @ ( c_2Epred__set_2ECOMPL @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V1x ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V1x ) @ V2y ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2ESTRONG__DRESTRICT__FUPDATE__THM,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.93 ( ( mem @ V0f @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V1r: $i] :
% 5.66/5.93 ( ( mem @ V1r @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ! [V2x: $i] :
% 5.66/5.93 ( ( mem @ V2x @ A_27a )
% 5.66/5.93 => ! [V3y: $i] :
% 5.66/5.93 ( ( mem @ V3y @ A_27b )
% 5.66/5.93 => ( ( ap @ ( ap @ ( c_2Efinite__map_2EDRESTRICT @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE @ A_27a @ A_27b ) @ V0f ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V2x ) @ V3y ) ) ) @ V1r )
% 5.66/5.93 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V1r ) ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EDRESTRICT @ A_27a @ A_27b ) @ V0f ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ ( ap @ ( c_2Epred__set_2ECOMPL @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V2x ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) ) @ V1r ) ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V2x ) @ V3y ) ) ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EDRESTRICT @ A_27a @ A_27b ) @ V0f ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ ( ap @ ( c_2Epred__set_2ECOMPL @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V2x ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) ) @ V1r ) ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EDRESTRICT__UNIV,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.93 ( ( mem @ V0f @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ( ( ap @ ( ap @ ( c_2Efinite__map_2EDRESTRICT @ A_27a @ A_27b ) @ V0f ) @ ( c_2Epred__set_2EUNIV @ A_27a ) )
% 5.66/5.93 = V0f ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2ESUBMAP__DRESTRICT,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.93 ( ( mem @ V0f @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V1P: $i] :
% 5.66/5.93 ( ( mem @ V1P @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ( p @ ( ap @ ( ap @ ( c_2Efinite__map_2ESUBMAP @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EDRESTRICT @ A_27a @ A_27b ) @ V0f ) @ V1P ) ) @ V0f ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EDRESTRICT__EQ__DRESTRICT,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0f1: $i] :
% 5.66/5.93 ( ( mem @ V0f1 @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V1f2: $i] :
% 5.66/5.93 ( ( mem @ V1f2 @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V2s1: $i] :
% 5.66/5.93 ( ( mem @ V2s1 @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ! [V3s2: $i] :
% 5.66/5.93 ( ( mem @ V3s2 @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ( ( ( ap @ ( ap @ ( c_2Efinite__map_2EDRESTRICT @ A_27a @ A_27b ) @ V0f1 ) @ V2s1 )
% 5.66/5.93 = ( ap @ ( ap @ ( c_2Efinite__map_2EDRESTRICT @ A_27a @ A_27b ) @ V1f2 ) @ V3s2 ) )
% 5.66/5.93 <=> ( ( p @ ( ap @ ( ap @ ( c_2Efinite__map_2ESUBMAP @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EDRESTRICT @ A_27a @ A_27b ) @ V0f1 ) @ V2s1 ) ) @ V1f2 ) )
% 5.66/5.93 & ( p @ ( ap @ ( ap @ ( c_2Efinite__map_2ESUBMAP @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EDRESTRICT @ A_27a @ A_27b ) @ V1f2 ) @ V3s2 ) ) @ V0f1 ) )
% 5.66/5.93 & ( ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ V2s1 ) @ ( ap @ ( c_2Efinite__map_2EFDOM @ A_27a @ A_27b ) @ V0f1 ) )
% 5.66/5.93 = ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ V3s2 ) @ ( ap @ ( c_2Efinite__map_2EFDOM @ A_27a @ A_27b ) @ V1f2 ) ) ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(ax_thm_2Efinite__map_2EFUNION__DEF,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.93 ( ( mem @ V0f @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V1g: $i] :
% 5.66/5.93 ( ( mem @ V1g @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ( ( ( ap @ ( c_2Efinite__map_2EFDOM @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EFUNION @ A_27a @ A_27b ) @ V0f ) @ V1g ) )
% 5.66/5.93 = ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ ( ap @ ( c_2Efinite__map_2EFDOM @ A_27a @ A_27b ) @ V0f ) ) @ ( ap @ ( c_2Efinite__map_2EFDOM @ A_27a @ A_27b ) @ V1g ) ) )
% 5.66/5.93 & ! [V2x: $i] :
% 5.66/5.93 ( ( mem @ V2x @ A_27a )
% 5.66/5.93 => ( ( ap @ ( ap @ ( c_2Efinite__map_2EFAPPLY @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EFUNION @ A_27a @ A_27b ) @ V0f ) @ V1g ) ) @ V2x )
% 5.66/5.93 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ A_27b ) @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ ( ap @ ( c_2Efinite__map_2EFDOM @ A_27a @ A_27b ) @ V0f ) ) ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EFAPPLY @ A_27a @ A_27b ) @ V0f ) @ V2x ) ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EFAPPLY @ A_27a @ A_27b ) @ V1g ) @ V2x ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EFUNION__FEMPTY__1,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0g: $i] :
% 5.66/5.93 ( ( mem @ V0g @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ( ( ap @ ( ap @ ( c_2Efinite__map_2EFUNION @ A_27a @ A_27b ) @ ( c_2Efinite__map_2EFEMPTY @ A_27a @ A_27b ) ) @ V0g )
% 5.66/5.93 = V0g ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EFUNION__FEMPTY__2,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.93 ( ( mem @ V0f @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ( ( ap @ ( ap @ ( c_2Efinite__map_2EFUNION @ A_27a @ A_27b ) @ V0f ) @ ( c_2Efinite__map_2EFEMPTY @ A_27a @ A_27b ) )
% 5.66/5.93 = V0f ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EFUNION__FUPDATE__1,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.93 ( ( mem @ V0f @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V1g: $i] :
% 5.66/5.93 ( ( mem @ V1g @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V2x: $i] :
% 5.66/5.93 ( ( mem @ V2x @ A_27a )
% 5.66/5.93 => ! [V3y: $i] :
% 5.66/5.93 ( ( mem @ V3y @ A_27b )
% 5.66/5.93 => ( ( ap @ ( ap @ ( c_2Efinite__map_2EFUNION @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE @ A_27a @ A_27b ) @ V0f ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V2x ) @ V3y ) ) ) @ V1g )
% 5.66/5.93 = ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EFUNION @ A_27a @ A_27b ) @ V0f ) @ V1g ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V2x ) @ V3y ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EFUNION__FUPDATE__2,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.93 ( ( mem @ V0f @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V1g: $i] :
% 5.66/5.93 ( ( mem @ V1g @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V2x: $i] :
% 5.66/5.93 ( ( mem @ V2x @ A_27a )
% 5.66/5.93 => ! [V3y: $i] :
% 5.66/5.93 ( ( mem @ V3y @ A_27b )
% 5.66/5.93 => ( ( ap @ ( ap @ ( c_2Efinite__map_2EFUNION @ A_27a @ A_27b ) @ V0f ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE @ A_27a @ A_27b ) @ V1g ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V2x ) @ V3y ) ) )
% 5.66/5.93 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ ( ap @ ( c_2Efinite__map_2EFDOM @ A_27a @ A_27b ) @ V0f ) ) ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EFUNION @ A_27a @ A_27b ) @ V0f ) @ V1g ) ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EFUNION @ A_27a @ A_27b ) @ V0f ) @ V1g ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V2x ) @ V3y ) ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EFDOM__FUNION,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.66/5.93 ( ( mem @ V0f @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V1g: $i] :
% 5.66/5.93 ( ( mem @ V1g @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V2x: $i] :
% 5.66/5.93 ( ( mem @ V2x @ A_27c )
% 5.66/5.93 => ( ( ap @ ( c_2Efinite__map_2EFDOM @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EFUNION @ A_27a @ A_27b ) @ V0f ) @ V1g ) )
% 5.66/5.93 = ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ ( ap @ ( c_2Efinite__map_2EFDOM @ A_27a @ A_27b ) @ V0f ) ) @ ( ap @ ( c_2Efinite__map_2EFDOM @ A_27a @ A_27b ) @ V1g ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EFUNION__IDEMPOT,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0fm: $i] :
% 5.66/5.93 ( ( mem @ V0fm @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ( ( ap @ ( ap @ ( c_2Efinite__map_2EFUNION @ A_27a @ A_27b ) @ V0fm ) @ V0fm )
% 5.66/5.93 = V0fm ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(ax_thm_2Efinite__map_2EFMERGE__DEF,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0m: $i] :
% 5.66/5.93 ( ( mem @ V0m @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.93 => ! [V1f: $i] :
% 5.66/5.93 ( ( mem @ V1f @ ( ty_2Efinite__map_2Efmap @ A_27b @ A_27a ) )
% 5.66/5.93 => ! [V2g: $i] :
% 5.66/5.93 ( ( mem @ V2g @ ( ty_2Efinite__map_2Efmap @ A_27b @ A_27a ) )
% 5.66/5.93 => ( ( ( ap @ ( c_2Efinite__map_2EFDOM @ A_27b @ A_27a ) @ ( ap @ ( ap @ ( ap @ ( c_2Efinite__map_2EFMERGE @ A_27a @ A_27b ) @ V0m ) @ V1f ) @ V2g ) )
% 5.66/5.93 = ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27b ) @ ( ap @ ( c_2Efinite__map_2EFDOM @ A_27b @ A_27a ) @ V1f ) ) @ ( ap @ ( c_2Efinite__map_2EFDOM @ A_27b @ A_27a ) @ V2g ) ) )
% 5.66/5.93 & ! [V3x: $i] :
% 5.66/5.93 ( ( mem @ V3x @ A_27b )
% 5.66/5.93 => ( ( ap @ ( ap @ ( c_2Efinite__map_2EFAPPLY @ A_27b @ A_27a ) @ ( ap @ ( ap @ ( ap @ ( c_2Efinite__map_2EFMERGE @ A_27a @ A_27b ) @ V0m ) @ V1f ) @ V2g ) ) @ V3x )
% 5.66/5.93 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ A_27a ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ V3x ) @ ( ap @ ( c_2Efinite__map_2EFDOM @ A_27b @ A_27a ) @ V1f ) ) ) ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EFAPPLY @ A_27b @ A_27a ) @ V2g ) @ V3x ) ) @ ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ A_27a ) @ ( ap @ c_2Ebool_2E_7E @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ V3x ) @ ( ap @ ( c_2Efinite__map_2EFDOM @ A_27b @ A_27a ) @ V2g ) ) ) ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EFAPPLY @ A_27b @ A_27a ) @ V1f ) @ V3x ) ) @ ( ap @ ( ap @ V0m @ ( ap @ ( ap @ ( c_2Efinite__map_2EFAPPLY @ A_27b @ A_27a ) @ V1f ) @ V3x ) ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EFAPPLY @ A_27b @ A_27a ) @ V2g ) @ V3x ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EFMERGE__FEMPTY,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0m: $i] :
% 5.66/5.93 ( ( mem @ V0m @ ( arr @ A_27b @ ( arr @ A_27b @ A_27b ) ) )
% 5.66/5.93 => ! [V1f: $i] :
% 5.66/5.93 ( ( mem @ V1f @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ( ( ( ap @ ( ap @ ( ap @ ( c_2Efinite__map_2EFMERGE @ A_27b @ A_27a ) @ V0m ) @ V1f ) @ ( c_2Efinite__map_2EFEMPTY @ A_27a @ A_27b ) )
% 5.66/5.93 = V1f )
% 5.66/5.93 & ( ( ap @ ( ap @ ( ap @ ( c_2Efinite__map_2EFMERGE @ A_27b @ A_27a ) @ V0m ) @ ( c_2Efinite__map_2EFEMPTY @ A_27a @ A_27b ) ) @ V1f )
% 5.66/5.93 = V1f ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EFDOM__FMERGE,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0m: $i] :
% 5.66/5.93 ( ( mem @ V0m @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.93 => ! [V1f: $i] :
% 5.66/5.93 ( ( mem @ V1f @ ( ty_2Efinite__map_2Efmap @ A_27b @ A_27a ) )
% 5.66/5.93 => ! [V2g: $i] :
% 5.66/5.93 ( ( mem @ V2g @ ( ty_2Efinite__map_2Efmap @ A_27b @ A_27a ) )
% 5.66/5.93 => ( ( ap @ ( c_2Efinite__map_2EFDOM @ A_27b @ A_27a ) @ ( ap @ ( ap @ ( ap @ ( c_2Efinite__map_2EFMERGE @ A_27a @ A_27b ) @ V0m ) @ V1f ) @ V2g ) )
% 5.66/5.93 = ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27b ) @ ( ap @ ( c_2Efinite__map_2EFDOM @ A_27b @ A_27a ) @ V1f ) ) @ ( ap @ ( c_2Efinite__map_2EFDOM @ A_27b @ A_27a ) @ V2g ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EFMERGE__FUNION,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del] :
% 5.66/5.93 ( ( c_2Efinite__map_2EFUNION @ A_27a @ A_27b )
% 5.66/5.93 = ( ap @ ( c_2Efinite__map_2EFMERGE @ A_27b @ A_27a )
% 5.66/5.93 @ ( lam @ A_27b
% 5.66/5.93 @ ^ [V0x: $i] :
% 5.66/5.93 ( lam @ A_27b
% 5.66/5.93 @ ^ [V1y: $i] : V0x ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EFUNION__FMERGE,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0f1: $i] :
% 5.66/5.93 ( ( mem @ V0f1 @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V1f2: $i] :
% 5.66/5.93 ( ( mem @ V1f2 @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V2m: $i] :
% 5.66/5.93 ( ( mem @ V2m @ ( arr @ A_27b @ ( arr @ A_27b @ A_27b ) ) )
% 5.66/5.93 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2EDISJOINT @ A_27a ) @ ( ap @ ( c_2Efinite__map_2EFDOM @ A_27a @ A_27b ) @ V0f1 ) ) @ ( ap @ ( c_2Efinite__map_2EFDOM @ A_27a @ A_27b ) @ V1f2 ) ) )
% 5.66/5.93 => ( ( ap @ ( ap @ ( ap @ ( c_2Efinite__map_2EFMERGE @ A_27b @ A_27a ) @ V2m ) @ V0f1 ) @ V1f2 )
% 5.66/5.93 = ( ap @ ( ap @ ( c_2Efinite__map_2EFUNION @ A_27a @ A_27b ) @ V0f1 ) @ V1f2 ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EFMERGE__NO__CHANGE,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0m: $i] :
% 5.66/5.93 ( ( mem @ V0m @ ( arr @ A_27b @ ( arr @ A_27b @ A_27b ) ) )
% 5.66/5.93 => ! [V1f1: $i] :
% 5.66/5.93 ( ( mem @ V1f1 @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V2f2: $i] :
% 5.66/5.93 ( ( mem @ V2f2 @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ( ( ( ( ap @ ( ap @ ( ap @ ( c_2Efinite__map_2EFMERGE @ A_27b @ A_27a ) @ V0m ) @ V1f1 ) @ V2f2 )
% 5.66/5.93 = V1f1 )
% 5.66/5.93 <=> ! [V3x: $i] :
% 5.66/5.93 ( ( mem @ V3x @ A_27a )
% 5.66/5.93 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3x ) @ ( ap @ ( c_2Efinite__map_2EFDOM @ A_27a @ A_27b ) @ V2f2 ) ) )
% 5.66/5.93 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3x ) @ ( ap @ ( c_2Efinite__map_2EFDOM @ A_27a @ A_27b ) @ V1f1 ) ) )
% 5.66/5.93 & ( ( ap @ ( ap @ V0m @ ( ap @ ( ap @ ( c_2Efinite__map_2EFAPPLY @ A_27a @ A_27b ) @ V1f1 ) @ V3x ) ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EFAPPLY @ A_27a @ A_27b ) @ V2f2 ) @ V3x ) )
% 5.66/5.93 = ( ap @ ( ap @ ( c_2Efinite__map_2EFAPPLY @ A_27a @ A_27b ) @ V1f1 ) @ V3x ) ) ) ) ) )
% 5.66/5.93 & ( ( ( ap @ ( ap @ ( ap @ ( c_2Efinite__map_2EFMERGE @ A_27b @ A_27a ) @ V0m ) @ V1f1 ) @ V2f2 )
% 5.66/5.93 = V2f2 )
% 5.66/5.93 <=> ! [V4x: $i] :
% 5.66/5.93 ( ( mem @ V4x @ A_27a )
% 5.66/5.93 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V4x ) @ ( ap @ ( c_2Efinite__map_2EFDOM @ A_27a @ A_27b ) @ V1f1 ) ) )
% 5.66/5.93 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V4x ) @ ( ap @ ( c_2Efinite__map_2EFDOM @ A_27a @ A_27b ) @ V2f2 ) ) )
% 5.66/5.93 & ( ( ap @ ( ap @ V0m @ ( ap @ ( ap @ ( c_2Efinite__map_2EFAPPLY @ A_27a @ A_27b ) @ V1f1 ) @ V4x ) ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EFAPPLY @ A_27a @ A_27b ) @ V2f2 ) @ V4x ) )
% 5.66/5.93 = ( ap @ ( ap @ ( c_2Efinite__map_2EFAPPLY @ A_27a @ A_27b ) @ V2f2 ) @ V4x ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EFMERGE__COMM,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0m: $i] :
% 5.66/5.93 ( ( mem @ V0m @ ( arr @ A_27b @ ( arr @ A_27b @ A_27b ) ) )
% 5.66/5.93 => ( ( p @ ( ap @ ( c_2Ecombin_2ECOMM @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) ) @ ( ap @ ( c_2Efinite__map_2EFMERGE @ A_27b @ A_27a ) @ V0m ) ) )
% 5.66/5.93 <=> ( p @ ( ap @ ( c_2Ecombin_2ECOMM @ A_27b @ A_27b ) @ V0m ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EFMERGE__ASSOC,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0m: $i] :
% 5.66/5.93 ( ( mem @ V0m @ ( arr @ A_27b @ ( arr @ A_27b @ A_27b ) ) )
% 5.66/5.93 => ( ( p @ ( ap @ ( c_2Ecombin_2EASSOC @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) ) @ ( ap @ ( c_2Efinite__map_2EFMERGE @ A_27b @ A_27a ) @ V0m ) ) )
% 5.66/5.93 <=> ( p @ ( ap @ ( c_2Ecombin_2EASSOC @ A_27b ) @ V0m ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EFMERGE__DRESTRICT,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.93 ( ( mem @ V0f @ ( arr @ A_27b @ ( arr @ A_27b @ A_27b ) ) )
% 5.66/5.93 => ! [V1st1: $i] :
% 5.66/5.93 ( ( mem @ V1st1 @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V2st2: $i] :
% 5.66/5.93 ( ( mem @ V2st2 @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V3vs: $i] :
% 5.66/5.93 ( ( mem @ V3vs @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ( ( ap @ ( ap @ ( c_2Efinite__map_2EDRESTRICT @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( ap @ ( c_2Efinite__map_2EFMERGE @ A_27b @ A_27a ) @ V0f ) @ V1st1 ) @ V2st2 ) ) @ V3vs )
% 5.66/5.93 = ( ap @ ( ap @ ( ap @ ( c_2Efinite__map_2EFMERGE @ A_27b @ A_27a ) @ V0f ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EDRESTRICT @ A_27a @ A_27b ) @ V1st1 ) @ V3vs ) ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EDRESTRICT @ A_27a @ A_27b ) @ V2st2 ) @ V3vs ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EFMERGE__EQ__FEMPTY,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0m: $i] :
% 5.66/5.93 ( ( mem @ V0m @ ( arr @ A_27b @ ( arr @ A_27b @ A_27b ) ) )
% 5.66/5.93 => ! [V1f: $i] :
% 5.66/5.93 ( ( mem @ V1f @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V2g: $i] :
% 5.66/5.93 ( ( mem @ V2g @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ( ( ( ap @ ( ap @ ( ap @ ( c_2Efinite__map_2EFMERGE @ A_27b @ A_27a ) @ V0m ) @ V1f ) @ V2g )
% 5.66/5.93 = ( c_2Efinite__map_2EFEMPTY @ A_27a @ A_27b ) )
% 5.66/5.93 <=> ( ( V1f
% 5.66/5.93 = ( c_2Efinite__map_2EFEMPTY @ A_27a @ A_27b ) )
% 5.66/5.93 & ( V2g
% 5.66/5.93 = ( c_2Efinite__map_2EFEMPTY @ A_27a @ A_27b ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(ax_thm_2Efinite__map_2EFLOOKUP__DEF,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.93 ( ( mem @ V0f @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V1x: $i] :
% 5.66/5.93 ( ( mem @ V1x @ A_27a )
% 5.66/5.93 => ( ( ap @ ( ap @ ( c_2Efinite__map_2EFLOOKUP @ A_27a @ A_27b ) @ V0f ) @ V1x )
% 5.66/5.93 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Eoption_2Eoption @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V1x ) @ ( ap @ ( c_2Efinite__map_2EFDOM @ A_27a @ A_27b ) @ V0f ) ) ) @ ( ap @ ( c_2Eoption_2ESOME @ A_27b ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EFAPPLY @ A_27a @ A_27b ) @ V0f ) @ V1x ) ) ) @ ( c_2Eoption_2ENONE @ A_27b ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EFLOOKUP__EMPTY,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0k: $i] :
% 5.66/5.93 ( ( mem @ V0k @ A_27b )
% 5.66/5.93 => ( ( ap @ ( ap @ ( c_2Efinite__map_2EFLOOKUP @ A_27b @ A_27a ) @ ( c_2Efinite__map_2EFEMPTY @ A_27b @ A_27a ) ) @ V0k )
% 5.66/5.93 = ( c_2Eoption_2ENONE @ A_27a ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EFLOOKUP__UPDATE,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0fm: $i] :
% 5.66/5.93 ( ( mem @ V0fm @ ( ty_2Efinite__map_2Efmap @ A_27b @ A_27a ) )
% 5.66/5.93 => ! [V1k1: $i] :
% 5.66/5.93 ( ( mem @ V1k1 @ A_27b )
% 5.66/5.93 => ! [V2v: $i] :
% 5.66/5.93 ( ( mem @ V2v @ A_27a )
% 5.66/5.93 => ! [V3k2: $i] :
% 5.66/5.93 ( ( mem @ V3k2 @ A_27b )
% 5.66/5.93 => ( ( ap @ ( ap @ ( c_2Efinite__map_2EFLOOKUP @ A_27b @ A_27a ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE @ A_27b @ A_27a ) @ V0fm ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27b @ A_27a ) @ V1k1 ) @ V2v ) ) ) @ V3k2 )
% 5.66/5.93 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27b ) @ V1k1 ) @ V3k2 ) ) @ ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V2v ) ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EFLOOKUP @ A_27b @ A_27a ) @ V0fm ) @ V3k2 ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EFLOOKUP__SUBMAP,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.93 ( ( mem @ V0f @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V1g: $i] :
% 5.66/5.93 ( ( mem @ V1g @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V2k: $i] :
% 5.66/5.93 ( ( mem @ V2k @ A_27a )
% 5.66/5.93 => ! [V3v: $i] :
% 5.66/5.93 ( ( mem @ V3v @ A_27b )
% 5.66/5.93 => ( ( ( p @ ( ap @ ( ap @ ( c_2Efinite__map_2ESUBMAP @ A_27a @ A_27b ) @ V0f ) @ V1g ) )
% 5.66/5.93 & ( ( ap @ ( ap @ ( c_2Efinite__map_2EFLOOKUP @ A_27a @ A_27b ) @ V0f ) @ V2k )
% 5.66/5.93 = ( ap @ ( c_2Eoption_2ESOME @ A_27b ) @ V3v ) ) )
% 5.66/5.93 => ( ( ap @ ( ap @ ( c_2Efinite__map_2EFLOOKUP @ A_27a @ A_27b ) @ V1g ) @ V2k )
% 5.66/5.93 = ( ap @ ( c_2Eoption_2ESOME @ A_27b ) @ V3v ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2ESUBMAP__FUPDATE__FLOOKUP,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.93 ( ( mem @ V0f @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V1x: $i] :
% 5.66/5.93 ( ( mem @ V1x @ A_27a )
% 5.66/5.93 => ! [V2y: $i] :
% 5.66/5.93 ( ( mem @ V2y @ A_27b )
% 5.66/5.93 => ( ( p @ ( ap @ ( ap @ ( c_2Efinite__map_2ESUBMAP @ A_27a @ A_27b ) @ V0f ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE @ A_27a @ A_27b ) @ V0f ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V1x ) @ V2y ) ) ) )
% 5.66/5.93 <=> ( ( ( ap @ ( ap @ ( c_2Efinite__map_2EFLOOKUP @ A_27a @ A_27b ) @ V0f ) @ V1x )
% 5.66/5.93 = ( c_2Eoption_2ENONE @ A_27b ) )
% 5.66/5.93 | ( ( ap @ ( ap @ ( c_2Efinite__map_2EFLOOKUP @ A_27a @ A_27b ) @ V0f ) @ V1x )
% 5.66/5.93 = ( ap @ ( c_2Eoption_2ESOME @ A_27b ) @ V2y ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EFLOOKUP__FUNION,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0f1: $i] :
% 5.66/5.93 ( ( mem @ V0f1 @ ( ty_2Efinite__map_2Efmap @ A_27b @ A_27a ) )
% 5.66/5.93 => ! [V1f2: $i] :
% 5.66/5.93 ( ( mem @ V1f2 @ ( ty_2Efinite__map_2Efmap @ A_27b @ A_27a ) )
% 5.66/5.93 => ! [V2k: $i] :
% 5.66/5.93 ( ( mem @ V2k @ A_27b )
% 5.66/5.93 => ( ( ap @ ( ap @ ( c_2Efinite__map_2EFLOOKUP @ A_27b @ A_27a ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EFUNION @ A_27b @ A_27a ) @ V0f1 ) @ V1f2 ) ) @ V2k )
% 5.66/5.93 = ( ap @ ( ap @ ( ap @ ( c_2Eoption_2Eoption__CASE @ A_27a @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EFLOOKUP @ A_27b @ A_27a ) @ V0f1 ) @ V2k ) ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EFLOOKUP @ A_27b @ A_27a ) @ V1f2 ) @ V2k ) )
% 5.66/5.93 @ ( lam @ A_27a
% 5.66/5.93 @ ^ [V3v: $i] : ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V3v ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EFLOOKUP__EXT,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0f1: $i] :
% 5.66/5.93 ( ( mem @ V0f1 @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V1f2: $i] :
% 5.66/5.93 ( ( mem @ V1f2 @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ( ( V0f1 = V1f2 )
% 5.66/5.93 <=> ( ( ap @ ( c_2Efinite__map_2EFLOOKUP @ A_27a @ A_27b ) @ V0f1 )
% 5.66/5.93 = ( ap @ ( c_2Efinite__map_2EFLOOKUP @ A_27a @ A_27b ) @ V1f2 ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2Efmap__eq__flookup,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0f1: $i] :
% 5.66/5.93 ( ( mem @ V0f1 @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V1f2: $i] :
% 5.66/5.93 ( ( mem @ V1f2 @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ( ( V0f1 = V1f2 )
% 5.66/5.93 <=> ! [V2x: $i] :
% 5.66/5.93 ( ( mem @ V2x @ A_27a )
% 5.66/5.93 => ( ( ap @ ( ap @ ( c_2Efinite__map_2EFLOOKUP @ A_27a @ A_27b ) @ V0f1 ) @ V2x )
% 5.66/5.93 = ( ap @ ( ap @ ( c_2Efinite__map_2EFLOOKUP @ A_27a @ A_27b ) @ V1f2 ) @ V2x ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EFLOOKUP__DRESTRICT,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0fm: $i] :
% 5.66/5.93 ( ( mem @ V0fm @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V1s: $i] :
% 5.66/5.93 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ! [V2k: $i] :
% 5.66/5.93 ( ( mem @ V2k @ A_27a )
% 5.66/5.93 => ( ( ap @ ( ap @ ( c_2Efinite__map_2EFLOOKUP @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EDRESTRICT @ A_27a @ A_27b ) @ V0fm ) @ V1s ) ) @ V2k )
% 5.66/5.93 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Eoption_2Eoption @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2k ) @ V1s ) ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EFLOOKUP @ A_27a @ A_27b ) @ V0fm ) @ V2k ) ) @ ( c_2Eoption_2ENONE @ A_27b ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(ax_thm_2Efinite__map_2EFEVERY__DEF,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.66/5.93 ( ( mem @ V0P @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ bool ) )
% 5.66/5.93 => ! [V1f: $i] :
% 5.66/5.93 ( ( mem @ V1f @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ( ( p @ ( ap @ ( ap @ ( c_2Efinite__map_2EFEVERY @ A_27a @ A_27b ) @ V0P ) @ V1f ) )
% 5.66/5.93 <=> ! [V2x: $i] :
% 5.66/5.93 ( ( mem @ V2x @ A_27a )
% 5.66/5.93 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ ( ap @ ( c_2Efinite__map_2EFDOM @ A_27a @ A_27b ) @ V1f ) ) )
% 5.66/5.93 => ( p @ ( ap @ V0P @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V2x ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EFAPPLY @ A_27a @ A_27b ) @ V1f ) @ V2x ) ) ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EFEVERY__FEMPTY,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.66/5.93 ( ( mem @ V0P @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ bool ) )
% 5.66/5.93 => ( p @ ( ap @ ( ap @ ( c_2Efinite__map_2EFEVERY @ A_27a @ A_27b ) @ V0P ) @ ( c_2Efinite__map_2EFEMPTY @ A_27a @ A_27b ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EFEVERY__FUPDATE,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.66/5.93 ( ( mem @ V0P @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ bool ) )
% 5.66/5.93 => ! [V1f: $i] :
% 5.66/5.93 ( ( mem @ V1f @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V2x: $i] :
% 5.66/5.93 ( ( mem @ V2x @ A_27a )
% 5.66/5.93 => ! [V3y: $i] :
% 5.66/5.93 ( ( mem @ V3y @ A_27b )
% 5.66/5.93 => ( ( p @ ( ap @ ( ap @ ( c_2Efinite__map_2EFEVERY @ A_27a @ A_27b ) @ V0P ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE @ A_27a @ A_27b ) @ V1f ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V2x ) @ V3y ) ) ) )
% 5.66/5.93 <=> ( ( p @ ( ap @ V0P @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V2x ) @ V3y ) ) )
% 5.66/5.93 & ( p @ ( ap @ ( ap @ ( c_2Efinite__map_2EFEVERY @ A_27a @ A_27b ) @ V0P ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EDRESTRICT @ A_27a @ A_27b ) @ V1f ) @ ( ap @ ( c_2Epred__set_2ECOMPL @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V2x ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EFEVERY__FLOOKUP,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.66/5.93 ( ( mem @ V0P @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ bool ) )
% 5.66/5.93 => ! [V1f: $i] :
% 5.66/5.93 ( ( mem @ V1f @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V2k: $i] :
% 5.66/5.93 ( ( mem @ V2k @ A_27a )
% 5.66/5.93 => ! [V3v: $i] :
% 5.66/5.93 ( ( mem @ V3v @ A_27b )
% 5.66/5.93 => ( ( ( p @ ( ap @ ( ap @ ( c_2Efinite__map_2EFEVERY @ A_27a @ A_27b ) @ V0P ) @ V1f ) )
% 5.66/5.93 & ( ( ap @ ( ap @ ( c_2Efinite__map_2EFLOOKUP @ A_27a @ A_27b ) @ V1f ) @ V2k )
% 5.66/5.93 = ( ap @ ( c_2Eoption_2ESOME @ A_27b ) @ V3v ) ) )
% 5.66/5.93 => ( p @ ( ap @ V0P @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V2k ) @ V3v ) ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(ax_thm_2Efinite__map_2Ef__o__f__DEF,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.66/5.93 ( ( mem @ V0f @ ( ty_2Efinite__map_2Efmap @ A_27b @ A_27c ) )
% 5.66/5.93 => ! [V1g: $i] :
% 5.66/5.93 ( ( mem @ V1g @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ( ( ( ap @ ( c_2Efinite__map_2EFDOM @ A_27a @ A_27c ) @ ( ap @ ( ap @ ( c_2Efinite__map_2Ef__o__f @ A_27a @ A_27b @ A_27c ) @ V0f ) @ V1g ) )
% 5.66/5.93 = ( ap @ ( ap @ ( c_2Epred__set_2EINTER @ A_27a ) @ ( ap @ ( c_2Efinite__map_2EFDOM @ A_27a @ A_27b ) @ V1g ) )
% 5.66/5.93 @ ( ap @ ( c_2Epred__set_2EGSPEC @ A_27a @ A_27a )
% 5.66/5.93 @ ( lam @ A_27a
% 5.66/5.93 @ ^ [V2x: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ bool ) @ V2x ) @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EFAPPLY @ A_27a @ A_27b ) @ V1g ) @ V2x ) ) @ ( ap @ ( c_2Efinite__map_2EFDOM @ A_27b @ A_27c ) @ V0f ) ) ) ) ) ) )
% 5.66/5.93 & ! [V3x: $i] :
% 5.66/5.93 ( ( mem @ V3x @ A_27a )
% 5.66/5.93 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3x ) @ ( ap @ ( c_2Efinite__map_2EFDOM @ A_27a @ A_27c ) @ ( ap @ ( ap @ ( c_2Efinite__map_2Ef__o__f @ A_27a @ A_27b @ A_27c ) @ V0f ) @ V1g ) ) ) )
% 5.66/5.93 => ( ( ap @ ( ap @ ( c_2Efinite__map_2EFAPPLY @ A_27a @ A_27c ) @ ( ap @ ( ap @ ( c_2Efinite__map_2Ef__o__f @ A_27a @ A_27b @ A_27c ) @ V0f ) @ V1g ) ) @ V3x )
% 5.66/5.93 = ( ap @ ( ap @ ( c_2Efinite__map_2EFAPPLY @ A_27b @ A_27c ) @ V0f ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EFAPPLY @ A_27a @ A_27b ) @ V1g ) @ V3x ) ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2Ef__o__f__FEMPTY__1,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.66/5.93 ( ( mem @ V0f @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ( ( ap @ ( ap @ ( c_2Efinite__map_2Ef__o__f @ A_27a @ A_27b @ A_27c ) @ ( c_2Efinite__map_2EFEMPTY @ A_27b @ A_27c ) ) @ V0f )
% 5.66/5.93 = ( c_2Efinite__map_2EFEMPTY @ A_27a @ A_27c ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2Ef__o__f__FEMPTY__2,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.66/5.93 ( ( mem @ V0f @ ( ty_2Efinite__map_2Efmap @ A_27b @ A_27c ) )
% 5.66/5.93 => ( ( ap @ ( ap @ ( c_2Efinite__map_2Ef__o__f @ A_27a @ A_27b @ A_27c ) @ V0f ) @ ( c_2Efinite__map_2EFEMPTY @ A_27a @ A_27b ) )
% 5.66/5.93 = ( c_2Efinite__map_2EFEMPTY @ A_27a @ A_27c ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(ax_thm_2Efinite__map_2Eo__f__DEF,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.66/5.93 ( ( mem @ V0f @ ( arr @ A_27b @ A_27c ) )
% 5.66/5.93 => ! [V1g: $i] :
% 5.66/5.93 ( ( mem @ V1g @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ( ( ( ap @ ( c_2Efinite__map_2EFDOM @ A_27a @ A_27c ) @ ( ap @ ( ap @ ( c_2Efinite__map_2Eo__f @ A_27a @ A_27b @ A_27c ) @ V0f ) @ V1g ) )
% 5.66/5.93 = ( ap @ ( c_2Efinite__map_2EFDOM @ A_27a @ A_27b ) @ V1g ) )
% 5.66/5.93 & ! [V2x: $i] :
% 5.66/5.93 ( ( mem @ V2x @ A_27a )
% 5.66/5.93 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ ( ap @ ( c_2Efinite__map_2EFDOM @ A_27a @ A_27c ) @ ( ap @ ( ap @ ( c_2Efinite__map_2Eo__f @ A_27a @ A_27b @ A_27c ) @ V0f ) @ V1g ) ) ) )
% 5.66/5.93 => ( ( ap @ ( ap @ ( c_2Efinite__map_2EFAPPLY @ A_27a @ A_27c ) @ ( ap @ ( ap @ ( c_2Efinite__map_2Eo__f @ A_27a @ A_27b @ A_27c ) @ V0f ) @ V1g ) ) @ V2x )
% 5.66/5.93 = ( ap @ V0f @ ( ap @ ( ap @ ( c_2Efinite__map_2EFAPPLY @ A_27a @ A_27b ) @ V1g ) @ V2x ) ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2Eo__f__FDOM,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.66/5.93 ( ( mem @ V0f @ ( arr @ A_27b @ A_27c ) )
% 5.66/5.93 => ! [V1g: $i] :
% 5.66/5.93 ( ( mem @ V1g @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ( ( ap @ ( c_2Efinite__map_2EFDOM @ A_27a @ A_27b ) @ V1g )
% 5.66/5.93 = ( ap @ ( c_2Efinite__map_2EFDOM @ A_27a @ A_27c ) @ ( ap @ ( ap @ ( c_2Efinite__map_2Eo__f @ A_27a @ A_27b @ A_27c ) @ V0f ) @ V1g ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EFDOM__o__f,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.66/5.93 ( ( mem @ V0f @ ( arr @ A_27b @ A_27c ) )
% 5.66/5.93 => ! [V1g: $i] :
% 5.66/5.93 ( ( mem @ V1g @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ( ( ap @ ( c_2Efinite__map_2EFDOM @ A_27a @ A_27c ) @ ( ap @ ( ap @ ( c_2Efinite__map_2Eo__f @ A_27a @ A_27b @ A_27c ) @ V0f ) @ V1g ) )
% 5.66/5.93 = ( ap @ ( c_2Efinite__map_2EFDOM @ A_27a @ A_27b ) @ V1g ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2Eo__f__FAPPLY,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.66/5.93 ( ( mem @ V0f @ ( arr @ A_27b @ A_27c ) )
% 5.66/5.93 => ! [V1g: $i] :
% 5.66/5.93 ( ( mem @ V1g @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V2x: $i] :
% 5.66/5.93 ( ( mem @ V2x @ A_27a )
% 5.66/5.93 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ ( ap @ ( c_2Efinite__map_2EFDOM @ A_27a @ A_27b ) @ V1g ) ) )
% 5.66/5.93 => ( ( ap @ ( ap @ ( c_2Efinite__map_2EFAPPLY @ A_27a @ A_27c ) @ ( ap @ ( ap @ ( c_2Efinite__map_2Eo__f @ A_27a @ A_27b @ A_27c ) @ V0f ) @ V1g ) ) @ V2x )
% 5.66/5.93 = ( ap @ V0f @ ( ap @ ( ap @ ( c_2Efinite__map_2EFAPPLY @ A_27a @ A_27b ) @ V1g ) @ V2x ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2Eo__f__FEMPTY,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.66/5.93 ( ( mem @ V0f @ ( arr @ A_27c @ A_27b ) )
% 5.66/5.93 => ( ( ap @ ( ap @ ( c_2Efinite__map_2Eo__f @ A_27a @ A_27c @ A_27b ) @ V0f ) @ ( c_2Efinite__map_2EFEMPTY @ A_27a @ A_27c ) )
% 5.66/5.93 = ( c_2Efinite__map_2EFEMPTY @ A_27a @ A_27b ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EFEVERY__o__f,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,A_27c: del,V0m: $i] :
% 5.66/5.93 ( ( mem @ V0m @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V1P: $i] :
% 5.66/5.93 ( ( mem @ V1P @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27c ) @ bool ) )
% 5.66/5.93 => ! [V2f: $i] :
% 5.66/5.93 ( ( mem @ V2f @ ( arr @ A_27b @ A_27c ) )
% 5.66/5.93 => ( ( p @ ( ap @ ( ap @ ( c_2Efinite__map_2EFEVERY @ A_27a @ A_27c ) @ V1P ) @ ( ap @ ( ap @ ( c_2Efinite__map_2Eo__f @ A_27a @ A_27b @ A_27c ) @ V2f ) @ V0m ) ) )
% 5.66/5.93 <=> ( p
% 5.66/5.93 @ ( ap
% 5.66/5.93 @ ( ap @ ( c_2Efinite__map_2EFEVERY @ A_27a @ A_27b )
% 5.66/5.93 @ ( lam @ ( ty_2Epair_2Eprod @ A_27a @ A_27b )
% 5.66/5.93 @ ^ [V3x: $i] : ( ap @ V1P @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27c ) @ ( ap @ ( c_2Epair_2EFST @ A_27a @ A_27b ) @ V3x ) ) @ ( ap @ V2f @ ( ap @ ( c_2Epair_2ESND @ A_27a @ A_27b ) @ V3x ) ) ) ) ) )
% 5.66/5.93 @ V0m ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2Eo__f__o__f,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0f: $i] :
% 5.66/5.93 ( ( mem @ V0f @ ( arr @ A_27c @ A_27b ) )
% 5.66/5.93 => ! [V1g: $i] :
% 5.66/5.93 ( ( mem @ V1g @ ( arr @ A_27d @ A_27c ) )
% 5.66/5.93 => ! [V2h: $i] :
% 5.66/5.93 ( ( mem @ V2h @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27d ) )
% 5.66/5.93 => ( ( ap @ ( ap @ ( c_2Efinite__map_2Eo__f @ A_27a @ A_27c @ A_27b ) @ V0f ) @ ( ap @ ( ap @ ( c_2Efinite__map_2Eo__f @ A_27a @ A_27d @ A_27c ) @ V1g ) @ V2h ) )
% 5.66/5.93 = ( ap @ ( ap @ ( c_2Efinite__map_2Eo__f @ A_27a @ A_27d @ A_27b ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27d @ A_27b @ A_27c ) @ V0f ) @ V1g ) ) @ V2h ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EFLOOKUP__o__f,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.66/5.93 ( ( mem @ V0f @ ( arr @ A_27c @ A_27a ) )
% 5.66/5.93 => ! [V1fm: $i] :
% 5.66/5.93 ( ( mem @ V1fm @ ( ty_2Efinite__map_2Efmap @ A_27b @ A_27c ) )
% 5.66/5.93 => ! [V2k: $i] :
% 5.66/5.93 ( ( mem @ V2k @ A_27b )
% 5.66/5.93 => ( ( ap @ ( ap @ ( c_2Efinite__map_2EFLOOKUP @ A_27b @ A_27a ) @ ( ap @ ( ap @ ( c_2Efinite__map_2Eo__f @ A_27b @ A_27c @ A_27a ) @ V0f ) @ V1fm ) ) @ V2k )
% 5.66/5.93 = ( ap @ ( ap @ ( ap @ ( c_2Eoption_2Eoption__CASE @ A_27c @ ( ty_2Eoption_2Eoption @ A_27a ) ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EFLOOKUP @ A_27b @ A_27c ) @ V1fm ) @ V2k ) ) @ ( c_2Eoption_2ENONE @ A_27a ) )
% 5.66/5.93 @ ( lam @ A_27c
% 5.66/5.93 @ ^ [V3v: $i] : ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ ( ap @ V0f @ V3v ) ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(ax_thm_2Efinite__map_2EFRANGE__DEF,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.93 ( ( mem @ V0f @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ( ( ap @ ( c_2Efinite__map_2EFRANGE @ A_27a @ A_27b ) @ V0f )
% 5.66/5.93 = ( ap @ ( c_2Epred__set_2EGSPEC @ A_27b @ A_27b )
% 5.66/5.93 @ ( lam @ A_27b
% 5.66/5.93 @ ^ [V1y: $i] :
% 5.66/5.93 ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27b @ bool ) @ V1y )
% 5.66/5.93 @ ( ap @ ( c_2Ebool_2E_3F @ A_27a )
% 5.66/5.93 @ ( lam @ A_27a
% 5.66/5.93 @ ^ [V2x: $i] : ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ ( ap @ ( c_2Efinite__map_2EFDOM @ A_27a @ A_27b ) @ V0f ) ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27b ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EFAPPLY @ A_27a @ A_27b ) @ V0f ) @ V2x ) ) @ V1y ) ) ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EFRANGE__FEMPTY,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del] :
% 5.66/5.93 ( ( ap @ ( c_2Efinite__map_2EFRANGE @ A_27b @ A_27a ) @ ( c_2Efinite__map_2EFEMPTY @ A_27b @ A_27a ) )
% 5.66/5.93 = ( c_2Epred__set_2EEMPTY @ A_27a ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EFRANGE__FUPDATE,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.93 ( ( mem @ V0f @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V1x: $i] :
% 5.66/5.93 ( ( mem @ V1x @ A_27a )
% 5.66/5.93 => ! [V2y: $i] :
% 5.66/5.93 ( ( mem @ V2y @ A_27b )
% 5.66/5.93 => ( ( ap @ ( c_2Efinite__map_2EFRANGE @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE @ A_27a @ A_27b ) @ V0f ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V1x ) @ V2y ) ) )
% 5.66/5.93 = ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27b ) @ V2y ) @ ( ap @ ( c_2Efinite__map_2EFRANGE @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EDRESTRICT @ A_27a @ A_27b ) @ V0f ) @ ( ap @ ( c_2Epred__set_2ECOMPL @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V1x ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2ESUBMAP__FRANGE,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.93 ( ( mem @ V0f @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V1g: $i] :
% 5.66/5.93 ( ( mem @ V1g @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ( ( p @ ( ap @ ( ap @ ( c_2Efinite__map_2ESUBMAP @ A_27a @ A_27b ) @ V0f ) @ V1g ) )
% 5.66/5.93 => ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27b ) @ ( ap @ ( c_2Efinite__map_2EFRANGE @ A_27a @ A_27b ) @ V0f ) ) @ ( ap @ ( c_2Efinite__map_2EFRANGE @ A_27a @ A_27b ) @ V1g ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EFINITE__FRANGE,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0fm: $i] :
% 5.66/5.93 ( ( mem @ V0fm @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27b ) @ ( ap @ ( c_2Efinite__map_2EFRANGE @ A_27a @ A_27b ) @ V0fm ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2Eo__f__FRANGE,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,A_27c: del,V0x: $i] :
% 5.66/5.93 ( ( mem @ V0x @ A_27a )
% 5.66/5.93 => ! [V1g: $i] :
% 5.66/5.93 ( ( mem @ V1g @ ( ty_2Efinite__map_2Efmap @ A_27b @ A_27a ) )
% 5.66/5.93 => ! [V2f: $i] :
% 5.66/5.93 ( ( mem @ V2f @ ( arr @ A_27a @ A_27c ) )
% 5.66/5.93 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0x ) @ ( ap @ ( c_2Efinite__map_2EFRANGE @ A_27b @ A_27a ) @ V1g ) ) )
% 5.66/5.93 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27c ) @ ( ap @ V2f @ V0x ) ) @ ( ap @ ( c_2Efinite__map_2EFRANGE @ A_27b @ A_27c ) @ ( ap @ ( ap @ ( c_2Efinite__map_2Eo__f @ A_27b @ A_27a @ A_27c ) @ V2f ) @ V1g ) ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EFRANGE__FLOOKUP,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0v: $i] :
% 5.66/5.93 ( ( mem @ V0v @ A_27a )
% 5.66/5.93 => ! [V1f: $i] :
% 5.66/5.93 ( ( mem @ V1f @ ( ty_2Efinite__map_2Efmap @ A_27b @ A_27a ) )
% 5.66/5.93 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0v ) @ ( ap @ ( c_2Efinite__map_2EFRANGE @ A_27b @ A_27a ) @ V1f ) ) )
% 5.66/5.93 <=> ? [V2k: $i] :
% 5.66/5.93 ( ( mem @ V2k @ A_27b )
% 5.66/5.93 & ( ( ap @ ( ap @ ( c_2Efinite__map_2EFLOOKUP @ A_27b @ A_27a ) @ V1f ) @ V2k )
% 5.66/5.93 = ( ap @ ( c_2Eoption_2ESOME @ A_27a ) @ V0v ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EFRANGE__FUNION,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0fm1: $i] :
% 5.66/5.93 ( ( mem @ V0fm1 @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V1fm2: $i] :
% 5.66/5.93 ( ( mem @ V1fm2 @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2EDISJOINT @ A_27a ) @ ( ap @ ( c_2Efinite__map_2EFDOM @ A_27a @ A_27b ) @ V0fm1 ) ) @ ( ap @ ( c_2Efinite__map_2EFDOM @ A_27a @ A_27b ) @ V1fm2 ) ) )
% 5.66/5.93 => ( ( ap @ ( c_2Efinite__map_2EFRANGE @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EFUNION @ A_27a @ A_27b ) @ V0fm1 ) @ V1fm2 ) )
% 5.66/5.93 = ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27b ) @ ( ap @ ( c_2Efinite__map_2EFRANGE @ A_27a @ A_27b ) @ V0fm1 ) ) @ ( ap @ ( c_2Efinite__map_2EFRANGE @ A_27a @ A_27b ) @ V1fm2 ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(ax_thm_2Efinite__map_2ERRESTRICT__DEF,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.93 ( ( mem @ V0f @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V1r: $i] :
% 5.66/5.93 ( ( mem @ V1r @ ( arr @ A_27b @ bool ) )
% 5.66/5.93 => ( ( ( ap @ ( c_2Efinite__map_2EFDOM @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Efinite__map_2ERRESTRICT @ A_27a @ A_27b ) @ V0f ) @ V1r ) )
% 5.66/5.93 = ( ap @ ( c_2Epred__set_2EGSPEC @ A_27a @ A_27a )
% 5.66/5.93 @ ( lam @ A_27a
% 5.66/5.93 @ ^ [V2x: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ bool ) @ V2x ) @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ ( ap @ ( c_2Efinite__map_2EFDOM @ A_27a @ A_27b ) @ V0f ) ) ) @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EFAPPLY @ A_27a @ A_27b ) @ V0f ) @ V2x ) ) @ V1r ) ) ) ) ) )
% 5.66/5.93 & ! [V3x: $i] :
% 5.66/5.93 ( ( mem @ V3x @ A_27a )
% 5.66/5.93 => ( ( ap @ ( ap @ ( c_2Efinite__map_2EFAPPLY @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Efinite__map_2ERRESTRICT @ A_27a @ A_27b ) @ V0f ) @ V1r ) ) @ V3x )
% 5.66/5.93 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ A_27b ) @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3x ) @ ( ap @ ( c_2Efinite__map_2EFDOM @ A_27a @ A_27b ) @ V0f ) ) ) @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EFAPPLY @ A_27a @ A_27b ) @ V0f ) @ V3x ) ) @ V1r ) ) ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EFAPPLY @ A_27a @ A_27b ) @ V0f ) @ V3x ) ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EFAPPLY @ A_27a @ A_27b ) @ ( c_2Efinite__map_2EFEMPTY @ A_27a @ A_27b ) ) @ V3x ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2ERRESTRICT__FEMPTY,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0r: $i] :
% 5.66/5.93 ( ( mem @ V0r @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ( ( ap @ ( ap @ ( c_2Efinite__map_2ERRESTRICT @ A_27b @ A_27a ) @ ( c_2Efinite__map_2EFEMPTY @ A_27b @ A_27a ) ) @ V0r )
% 5.66/5.93 = ( c_2Efinite__map_2EFEMPTY @ A_27b @ A_27a ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2ERRESTRICT__FUPDATE,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.93 ( ( mem @ V0f @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V1r: $i] :
% 5.66/5.93 ( ( mem @ V1r @ ( arr @ A_27b @ bool ) )
% 5.66/5.93 => ! [V2x: $i] :
% 5.66/5.93 ( ( mem @ V2x @ A_27a )
% 5.66/5.93 => ! [V3y: $i] :
% 5.66/5.93 ( ( mem @ V3y @ A_27b )
% 5.66/5.93 => ( ( ap @ ( ap @ ( c_2Efinite__map_2ERRESTRICT @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE @ A_27a @ A_27b ) @ V0f ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V2x ) @ V3y ) ) ) @ V1r )
% 5.66/5.93 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ V3y ) @ V1r ) ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Efinite__map_2ERRESTRICT @ A_27a @ A_27b ) @ V0f ) @ V1r ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V2x ) @ V3y ) ) ) @ ( ap @ ( ap @ ( c_2Efinite__map_2ERRESTRICT @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EDRESTRICT @ A_27a @ A_27b ) @ V0f ) @ ( ap @ ( c_2Epred__set_2ECOMPL @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V2x ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) ) ) @ V1r ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(ax_thm_2Efinite__map_2EFUN__FMAP__DEF,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.93 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V1P: $i] :
% 5.66/5.93 ( ( mem @ V1P @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V1P ) )
% 5.66/5.93 => ( ( ( ap @ ( c_2Efinite__map_2EFDOM @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EFUN__FMAP @ A_27a @ A_27b ) @ V0f ) @ V1P ) )
% 5.66/5.93 = V1P )
% 5.66/5.93 & ! [V2x: $i] :
% 5.66/5.93 ( ( mem @ V2x @ A_27a )
% 5.66/5.93 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ V1P ) )
% 5.66/5.93 => ( ( ap @ ( ap @ ( c_2Efinite__map_2EFAPPLY @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EFUN__FMAP @ A_27a @ A_27b ) @ V0f ) @ V1P ) ) @ V2x )
% 5.66/5.93 = ( ap @ V0f @ V2x ) ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EFUN__FMAP__EMPTY,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.93 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.93 => ( ( ap @ ( ap @ ( c_2Efinite__map_2EFUN__FMAP @ A_27a @ A_27b ) @ V0f ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) )
% 5.66/5.93 = ( c_2Efinite__map_2EFEMPTY @ A_27a @ A_27b ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EFRANGE__FMAP,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.66/5.93 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ! [V1f: $i] :
% 5.66/5.93 ( ( mem @ V1f @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.93 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0P ) )
% 5.66/5.93 => ( ( ap @ ( c_2Efinite__map_2EFRANGE @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EFUN__FMAP @ A_27a @ A_27b ) @ V1f ) @ V0P ) )
% 5.66/5.93 = ( ap @ ( ap @ ( c_2Epred__set_2EIMAGE @ A_27a @ A_27b ) @ V1f ) @ V0P ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EFDOM__FMAP,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.93 ( ( mem @ V0f @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V1s: $i] :
% 5.66/5.93 ( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V1s ) )
% 5.66/5.93 => ( ( ap @ ( c_2Efinite__map_2EFDOM @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EFUN__FMAP @ A_27a @ A_27b ) @ V0f ) @ V1s ) )
% 5.66/5.93 = V1s ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EFLOOKUP__FUN__FMAP,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.66/5.93 ( ( mem @ V0P @ ( arr @ A_27a @ bool ) )
% 5.66/5.93 => ! [V1f: $i] :
% 5.66/5.93 ( ( mem @ V1f @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V2k: $i] :
% 5.66/5.93 ( ( mem @ V2k @ A_27a )
% 5.66/5.93 => ( ( p @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a ) @ V0P ) )
% 5.66/5.93 => ( ( ap @ ( ap @ ( c_2Efinite__map_2EFLOOKUP @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EFUN__FMAP @ A_27a @ A_27b ) @ V1f ) @ V0P ) ) @ V2k )
% 5.66/5.93 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Eoption_2Eoption @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2k ) @ V0P ) ) @ ( ap @ ( c_2Eoption_2ESOME @ A_27b ) @ ( ap @ V1f @ V2k ) ) ) @ ( c_2Eoption_2ENONE @ A_27b ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(ax_thm_2Efinite__map_2Ef__o__DEF,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.66/5.93 ( ( mem @ V0f @ ( ty_2Efinite__map_2Efmap @ A_27b @ A_27c ) )
% 5.66/5.93 => ! [V1g: $i] :
% 5.66/5.93 ( ( mem @ V1g @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.93 => ( ( ap @ ( ap @ ( c_2Efinite__map_2Ef__o @ A_27a @ A_27b @ A_27c ) @ V0f ) @ V1g )
% 5.66/5.93 = ( ap @ ( ap @ ( c_2Efinite__map_2Ef__o__f @ A_27a @ A_27b @ A_27c ) @ V0f )
% 5.66/5.93 @ ( ap @ ( ap @ ( c_2Efinite__map_2EFUN__FMAP @ A_27a @ A_27b ) @ V1g )
% 5.66/5.93 @ ( ap @ ( c_2Epred__set_2EGSPEC @ A_27a @ A_27a )
% 5.66/5.93 @ ( lam @ A_27a
% 5.66/5.93 @ ^ [V2x: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ bool ) @ V2x ) @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ ( ap @ V1g @ V2x ) ) @ ( ap @ ( c_2Efinite__map_2EFDOM @ A_27b @ A_27c ) @ V0f ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EFDOM__f__o,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.66/5.93 ( ( mem @ V0f @ ( ty_2Efinite__map_2Efmap @ A_27b @ A_27c ) )
% 5.66/5.93 => ! [V1g: $i] :
% 5.66/5.93 ( ( mem @ V1g @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.93 => ( ( p
% 5.66/5.93 @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a )
% 5.66/5.93 @ ( ap @ ( c_2Epred__set_2EGSPEC @ A_27a @ A_27a )
% 5.66/5.93 @ ( lam @ A_27a
% 5.66/5.93 @ ^ [V2x: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ bool ) @ V2x ) @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ ( ap @ V1g @ V2x ) ) @ ( ap @ ( c_2Efinite__map_2EFDOM @ A_27b @ A_27c ) @ V0f ) ) ) ) ) ) )
% 5.66/5.93 => ( ( ap @ ( c_2Efinite__map_2EFDOM @ A_27a @ A_27c ) @ ( ap @ ( ap @ ( c_2Efinite__map_2Ef__o @ A_27a @ A_27b @ A_27c ) @ V0f ) @ V1g ) )
% 5.66/5.93 = ( ap @ ( c_2Epred__set_2EGSPEC @ A_27a @ A_27a )
% 5.66/5.93 @ ( lam @ A_27a
% 5.66/5.93 @ ^ [V3x: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ bool ) @ V3x ) @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ ( ap @ V1g @ V3x ) ) @ ( ap @ ( c_2Efinite__map_2EFDOM @ A_27b @ A_27c ) @ V0f ) ) ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2Ef__o__FEMPTY,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,A_27c: del,V0g: $i] :
% 5.66/5.93 ( ( mem @ V0g @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.93 => ( ( ap @ ( ap @ ( c_2Efinite__map_2Ef__o @ A_27a @ A_27b @ A_27c ) @ ( c_2Efinite__map_2EFEMPTY @ A_27b @ A_27c ) ) @ V0g )
% 5.66/5.93 = ( c_2Efinite__map_2EFEMPTY @ A_27a @ A_27c ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2Ef__o__FUPDATE,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,A_27c: del,V0fm: $i] :
% 5.66/5.93 ( ( mem @ V0fm @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V1k: $i] :
% 5.66/5.93 ( ( mem @ V1k @ A_27a )
% 5.66/5.93 => ! [V2v: $i] :
% 5.66/5.93 ( ( mem @ V2v @ A_27b )
% 5.66/5.93 => ! [V3g: $i] :
% 5.66/5.93 ( ( mem @ V3g @ ( arr @ A_27c @ A_27a ) )
% 5.66/5.93 => ( ( ( p
% 5.66/5.93 @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27c )
% 5.66/5.93 @ ( ap @ ( c_2Epred__set_2EGSPEC @ A_27c @ A_27c )
% 5.66/5.93 @ ( lam @ A_27c
% 5.66/5.93 @ ^ [V4x: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27c @ bool ) @ V4x ) @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ ( ap @ V3g @ V4x ) ) @ ( ap @ ( c_2Efinite__map_2EFDOM @ A_27a @ A_27b ) @ V0fm ) ) ) ) ) ) )
% 5.66/5.93 & ( p
% 5.66/5.93 @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27c )
% 5.66/5.93 @ ( ap @ ( c_2Epred__set_2EGSPEC @ A_27c @ A_27c )
% 5.66/5.93 @ ( lam @ A_27c
% 5.66/5.93 @ ^ [V5x: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27c @ bool ) @ V5x ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ ( ap @ V3g @ V5x ) ) @ V1k ) ) ) ) ) ) )
% 5.66/5.93 => ( ( ap @ ( ap @ ( c_2Efinite__map_2Ef__o @ A_27c @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE @ A_27a @ A_27b ) @ V0fm ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V1k ) @ V2v ) ) ) @ V3g )
% 5.66/5.93 = ( ap @ ( ap @ ( ap @ ( c_2Efinite__map_2EFMERGE @ A_27b @ A_27c ) @ ( ap @ ( c_2Ecombin_2EC @ A_27b @ A_27b @ A_27b ) @ ( c_2Ecombin_2EK @ A_27b @ A_27b ) ) ) @ ( ap @ ( ap @ ( c_2Efinite__map_2Ef__o @ A_27c @ A_27a @ A_27b ) @ V0fm ) @ V3g ) )
% 5.66/5.93 @ ( ap @ ( ap @ ( c_2Efinite__map_2EFUN__FMAP @ A_27c @ A_27b ) @ ( ap @ ( c_2Ecombin_2EK @ A_27b @ A_27c ) @ V2v ) )
% 5.66/5.93 @ ( ap @ ( c_2Epred__set_2EGSPEC @ A_27c @ A_27c )
% 5.66/5.93 @ ( lam @ A_27c
% 5.66/5.93 @ ^ [V6x: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27c @ bool ) @ V6x ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ ( ap @ V3g @ V6x ) ) @ V1k ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EFAPPLY__f__o,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.66/5.93 ( ( mem @ V0f @ ( ty_2Efinite__map_2Efmap @ A_27b @ A_27c ) )
% 5.66/5.93 => ! [V1g: $i] :
% 5.66/5.93 ( ( mem @ V1g @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.93 => ( ( p
% 5.66/5.93 @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a )
% 5.66/5.93 @ ( ap @ ( c_2Epred__set_2EGSPEC @ A_27a @ A_27a )
% 5.66/5.93 @ ( lam @ A_27a
% 5.66/5.93 @ ^ [V2x: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ bool ) @ V2x ) @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ ( ap @ V1g @ V2x ) ) @ ( ap @ ( c_2Efinite__map_2EFDOM @ A_27b @ A_27c ) @ V0f ) ) ) ) ) ) )
% 5.66/5.93 => ! [V3x: $i] :
% 5.66/5.93 ( ( mem @ V3x @ A_27a )
% 5.66/5.93 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3x ) @ ( ap @ ( c_2Efinite__map_2EFDOM @ A_27a @ A_27c ) @ ( ap @ ( ap @ ( c_2Efinite__map_2Ef__o @ A_27a @ A_27b @ A_27c ) @ V0f ) @ V1g ) ) ) )
% 5.66/5.93 => ( ( ap @ ( ap @ ( c_2Efinite__map_2EFAPPLY @ A_27a @ A_27c ) @ ( ap @ ( ap @ ( c_2Efinite__map_2Ef__o @ A_27a @ A_27b @ A_27c ) @ V0f ) @ V1g ) ) @ V3x )
% 5.66/5.93 = ( ap @ ( ap @ ( c_2Efinite__map_2EFAPPLY @ A_27b @ A_27c ) @ V0f ) @ ( ap @ V1g @ V3x ) ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EFINITE__PRED__11,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,A_27c: del,V0g: $i] :
% 5.66/5.93 ( ( mem @ V0g @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.93 => ( ! [V1x: $i] :
% 5.66/5.93 ( ( mem @ V1x @ A_27a )
% 5.66/5.93 => ! [V2y: $i] :
% 5.66/5.93 ( ( mem @ V2y @ A_27a )
% 5.66/5.93 => ( ( ( ap @ V0g @ V1x )
% 5.66/5.93 = ( ap @ V0g @ V2y ) )
% 5.66/5.93 <=> ( V1x = V2y ) ) ) )
% 5.66/5.93 => ! [V3f: $i] :
% 5.66/5.93 ( ( mem @ V3f @ ( ty_2Efinite__map_2Efmap @ A_27b @ A_27c ) )
% 5.66/5.93 => ( p
% 5.66/5.93 @ ( ap @ ( c_2Epred__set_2EFINITE @ A_27a )
% 5.66/5.93 @ ( ap @ ( c_2Epred__set_2EGSPEC @ A_27a @ A_27a )
% 5.66/5.93 @ ( lam @ A_27a
% 5.66/5.93 @ ^ [V4x: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ bool ) @ V4x ) @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27b ) @ ( ap @ V0g @ V4x ) ) @ ( ap @ ( c_2Efinite__map_2EFDOM @ A_27b @ A_27c ) @ V3f ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2Ef__o__ASSOC,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,A_27c: del,A_27d: del,V0g: $i] :
% 5.66/5.93 ( ( mem @ V0g @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V1h: $i] :
% 5.66/5.93 ( ( mem @ V1h @ ( arr @ A_27c @ A_27a ) )
% 5.66/5.93 => ! [V2f: $i] :
% 5.66/5.93 ( ( mem @ V2f @ ( ty_2Efinite__map_2Efmap @ A_27b @ A_27d ) )
% 5.66/5.93 => ( ( ! [V3x: $i] :
% 5.66/5.93 ( ( mem @ V3x @ A_27a )
% 5.66/5.93 => ! [V4y: $i] :
% 5.66/5.93 ( ( mem @ V4y @ A_27a )
% 5.66/5.93 => ( ( ( ap @ V0g @ V3x )
% 5.66/5.93 = ( ap @ V0g @ V4y ) )
% 5.66/5.93 <=> ( V3x = V4y ) ) ) )
% 5.66/5.93 & ! [V5x: $i] :
% 5.66/5.93 ( ( mem @ V5x @ A_27c )
% 5.66/5.93 => ! [V6y: $i] :
% 5.66/5.93 ( ( mem @ V6y @ A_27c )
% 5.66/5.93 => ( ( ( ap @ V1h @ V5x )
% 5.66/5.93 = ( ap @ V1h @ V6y ) )
% 5.66/5.93 <=> ( V5x = V6y ) ) ) ) )
% 5.66/5.93 => ( ( ap @ ( ap @ ( c_2Efinite__map_2Ef__o @ A_27c @ A_27a @ A_27d ) @ ( ap @ ( ap @ ( c_2Efinite__map_2Ef__o @ A_27a @ A_27b @ A_27d ) @ V2f ) @ V0g ) ) @ V1h )
% 5.66/5.93 = ( ap @ ( ap @ ( c_2Efinite__map_2Ef__o @ A_27c @ A_27b @ A_27d ) @ V2f ) @ ( ap @ ( ap @ ( c_2Ecombin_2Eo @ A_27c @ A_27b @ A_27a ) @ V0g ) @ V1h ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(ax_thm_2Efinite__map_2Efmap__domsub,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0fm: $i] :
% 5.66/5.93 ( ( mem @ V0fm @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V1k: $i] :
% 5.66/5.93 ( ( mem @ V1k @ A_27a )
% 5.66/5.93 => ( ( ap @ ( ap @ ( c_2Efinite__map_2Efdomsub @ A_27a @ A_27b ) @ V0fm ) @ V1k )
% 5.66/5.93 = ( ap @ ( ap @ ( c_2Efinite__map_2EDRESTRICT @ A_27a @ A_27b ) @ V0fm ) @ ( ap @ ( c_2Epred__set_2ECOMPL @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V1k ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EDOMSUB__FEMPTY,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0k: $i] :
% 5.66/5.93 ( ( mem @ V0k @ A_27a )
% 5.66/5.93 => ( ( ap @ ( ap @ ( c_2Efinite__map_2Efdomsub @ A_27a @ A_27b ) @ ( c_2Efinite__map_2EFEMPTY @ A_27a @ A_27b ) ) @ V0k )
% 5.66/5.93 = ( c_2Efinite__map_2EFEMPTY @ A_27a @ A_27b ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EDOMSUB__FUPDATE,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0fm: $i] :
% 5.66/5.93 ( ( mem @ V0fm @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V1k: $i] :
% 5.66/5.93 ( ( mem @ V1k @ A_27a )
% 5.66/5.93 => ! [V2v: $i] :
% 5.66/5.93 ( ( mem @ V2v @ A_27b )
% 5.66/5.93 => ( ( ap @ ( ap @ ( c_2Efinite__map_2Efdomsub @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE @ A_27a @ A_27b ) @ V0fm ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V1k ) @ V2v ) ) ) @ V1k )
% 5.66/5.93 = ( ap @ ( ap @ ( c_2Efinite__map_2Efdomsub @ A_27a @ A_27b ) @ V0fm ) @ V1k ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EDOMSUB__FUPDATE__NEQ,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0fm: $i] :
% 5.66/5.93 ( ( mem @ V0fm @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V1k1: $i] :
% 5.66/5.93 ( ( mem @ V1k1 @ A_27a )
% 5.66/5.93 => ! [V2k2: $i] :
% 5.66/5.93 ( ( mem @ V2k2 @ A_27a )
% 5.66/5.93 => ! [V3v: $i] :
% 5.66/5.93 ( ( mem @ V3v @ A_27b )
% 5.66/5.93 => ( ( V1k1 != V2k2 )
% 5.66/5.93 => ( ( ap @ ( ap @ ( c_2Efinite__map_2Efdomsub @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE @ A_27a @ A_27b ) @ V0fm ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V1k1 ) @ V3v ) ) ) @ V2k2 )
% 5.66/5.93 = ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Efinite__map_2Efdomsub @ A_27a @ A_27b ) @ V0fm ) @ V2k2 ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V1k1 ) @ V3v ) ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EDOMSUB__FUPDATE__THM,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0fm: $i] :
% 5.66/5.93 ( ( mem @ V0fm @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V1k1: $i] :
% 5.66/5.93 ( ( mem @ V1k1 @ A_27a )
% 5.66/5.93 => ! [V2k2: $i] :
% 5.66/5.93 ( ( mem @ V2k2 @ A_27a )
% 5.66/5.93 => ! [V3v: $i] :
% 5.66/5.93 ( ( mem @ V3v @ A_27b )
% 5.66/5.93 => ( ( ap @ ( ap @ ( c_2Efinite__map_2Efdomsub @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE @ A_27a @ A_27b ) @ V0fm ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V1k1 ) @ V3v ) ) ) @ V2k2 )
% 5.66/5.93 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V1k1 ) @ V2k2 ) ) @ ( ap @ ( ap @ ( c_2Efinite__map_2Efdomsub @ A_27a @ A_27b ) @ V0fm ) @ V2k2 ) ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Efinite__map_2Efdomsub @ A_27a @ A_27b ) @ V0fm ) @ V2k2 ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V1k1 ) @ V3v ) ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EFDOM__DOMSUB,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0fm: $i] :
% 5.66/5.93 ( ( mem @ V0fm @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V1k: $i] :
% 5.66/5.93 ( ( mem @ V1k @ A_27a )
% 5.66/5.93 => ( ( ap @ ( c_2Efinite__map_2EFDOM @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Efinite__map_2Efdomsub @ A_27a @ A_27b ) @ V0fm ) @ V1k ) )
% 5.66/5.93 = ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ A_27a ) @ ( ap @ ( c_2Efinite__map_2EFDOM @ A_27a @ A_27b ) @ V0fm ) ) @ V1k ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EDOMSUB__FAPPLY,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0fm: $i] :
% 5.66/5.93 ( ( mem @ V0fm @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V1k: $i] :
% 5.66/5.93 ( ( mem @ V1k @ A_27a )
% 5.66/5.93 => ( ( ap @ ( ap @ ( c_2Efinite__map_2EFAPPLY @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Efinite__map_2Efdomsub @ A_27a @ A_27b ) @ V0fm ) @ V1k ) ) @ V1k )
% 5.66/5.93 = ( ap @ ( ap @ ( c_2Efinite__map_2EFAPPLY @ A_27a @ A_27b ) @ ( c_2Efinite__map_2EFEMPTY @ A_27a @ A_27b ) ) @ V1k ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EDOMSUB__FAPPLY__NEQ,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0fm: $i] :
% 5.66/5.93 ( ( mem @ V0fm @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V1k1: $i] :
% 5.66/5.93 ( ( mem @ V1k1 @ A_27a )
% 5.66/5.93 => ! [V2k2: $i] :
% 5.66/5.93 ( ( mem @ V2k2 @ A_27a )
% 5.66/5.93 => ( ( V1k1 != V2k2 )
% 5.66/5.93 => ( ( ap @ ( ap @ ( c_2Efinite__map_2EFAPPLY @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Efinite__map_2Efdomsub @ A_27a @ A_27b ) @ V0fm ) @ V1k1 ) ) @ V2k2 )
% 5.66/5.93 = ( ap @ ( ap @ ( c_2Efinite__map_2EFAPPLY @ A_27a @ A_27b ) @ V0fm ) @ V2k2 ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EDOMSUB__FAPPLY__THM,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0fm: $i] :
% 5.66/5.93 ( ( mem @ V0fm @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V1k1: $i] :
% 5.66/5.93 ( ( mem @ V1k1 @ A_27a )
% 5.66/5.93 => ! [V2k2: $i] :
% 5.66/5.93 ( ( mem @ V2k2 @ A_27a )
% 5.66/5.93 => ( ( ap @ ( ap @ ( c_2Efinite__map_2EFAPPLY @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Efinite__map_2Efdomsub @ A_27a @ A_27b ) @ V0fm ) @ V1k1 ) ) @ V2k2 )
% 5.66/5.93 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ A_27b ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V1k1 ) @ V2k2 ) ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EFAPPLY @ A_27a @ A_27b ) @ ( c_2Efinite__map_2EFEMPTY @ A_27a @ A_27b ) ) @ V2k2 ) ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EFAPPLY @ A_27a @ A_27b ) @ V0fm ) @ V2k2 ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EDOMSUB__FLOOKUP,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0fm: $i] :
% 5.66/5.93 ( ( mem @ V0fm @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V1k: $i] :
% 5.66/5.93 ( ( mem @ V1k @ A_27a )
% 5.66/5.93 => ( ( ap @ ( ap @ ( c_2Efinite__map_2EFLOOKUP @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Efinite__map_2Efdomsub @ A_27a @ A_27b ) @ V0fm ) @ V1k ) ) @ V1k )
% 5.66/5.93 = ( c_2Eoption_2ENONE @ A_27b ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EDOMSUB__FLOOKUP__NEQ,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0fm: $i] :
% 5.66/5.93 ( ( mem @ V0fm @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V1k1: $i] :
% 5.66/5.93 ( ( mem @ V1k1 @ A_27a )
% 5.66/5.93 => ! [V2k2: $i] :
% 5.66/5.93 ( ( mem @ V2k2 @ A_27a )
% 5.66/5.93 => ( ( V1k1 != V2k2 )
% 5.66/5.93 => ( ( ap @ ( ap @ ( c_2Efinite__map_2EFLOOKUP @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Efinite__map_2Efdomsub @ A_27a @ A_27b ) @ V0fm ) @ V1k1 ) ) @ V2k2 )
% 5.66/5.93 = ( ap @ ( ap @ ( c_2Efinite__map_2EFLOOKUP @ A_27a @ A_27b ) @ V0fm ) @ V2k2 ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EDOMSUB__FLOOKUP__THM,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0fm: $i] :
% 5.66/5.93 ( ( mem @ V0fm @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V1k1: $i] :
% 5.66/5.93 ( ( mem @ V1k1 @ A_27a )
% 5.66/5.93 => ! [V2k2: $i] :
% 5.66/5.93 ( ( mem @ V2k2 @ A_27a )
% 5.66/5.93 => ( ( ap @ ( ap @ ( c_2Efinite__map_2EFLOOKUP @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Efinite__map_2Efdomsub @ A_27a @ A_27b ) @ V0fm ) @ V1k1 ) ) @ V2k2 )
% 5.66/5.93 = ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Eoption_2Eoption @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A_27a ) @ V1k1 ) @ V2k2 ) ) @ ( c_2Eoption_2ENONE @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EFLOOKUP @ A_27a @ A_27b ) @ V0fm ) @ V2k2 ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EFRANGE__FUPDATE__DOMSUB,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0fm: $i] :
% 5.66/5.93 ( ( mem @ V0fm @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V1k: $i] :
% 5.66/5.93 ( ( mem @ V1k @ A_27a )
% 5.66/5.93 => ! [V2v: $i] :
% 5.66/5.93 ( ( mem @ V2v @ A_27b )
% 5.66/5.93 => ( ( ap @ ( c_2Efinite__map_2EFRANGE @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE @ A_27a @ A_27b ) @ V0fm ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V1k ) @ V2v ) ) )
% 5.66/5.93 = ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27b ) @ V2v ) @ ( ap @ ( c_2Efinite__map_2EFRANGE @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Efinite__map_2Efdomsub @ A_27a @ A_27b ) @ V0fm ) @ V1k ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2Eo__f__DOMSUB,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,A_27c: del,V0g: $i] :
% 5.66/5.93 ( ( mem @ V0g @ ( arr @ A_27c @ A_27b ) )
% 5.66/5.93 => ! [V1fm: $i] :
% 5.66/5.93 ( ( mem @ V1fm @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27c ) )
% 5.66/5.93 => ! [V2k: $i] :
% 5.66/5.93 ( ( mem @ V2k @ A_27a )
% 5.66/5.93 => ( ( ap @ ( ap @ ( c_2Efinite__map_2Efdomsub @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Efinite__map_2Eo__f @ A_27a @ A_27c @ A_27b ) @ V0g ) @ V1fm ) ) @ V2k )
% 5.66/5.93 = ( ap @ ( ap @ ( c_2Efinite__map_2Eo__f @ A_27a @ A_27c @ A_27b ) @ V0g ) @ ( ap @ ( ap @ ( c_2Efinite__map_2Efdomsub @ A_27a @ A_27c ) @ V1fm ) @ V2k ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EDOMSUB__IDEM,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0fm: $i] :
% 5.66/5.93 ( ( mem @ V0fm @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V1k: $i] :
% 5.66/5.93 ( ( mem @ V1k @ A_27a )
% 5.66/5.93 => ( ( ap @ ( ap @ ( c_2Efinite__map_2Efdomsub @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Efinite__map_2Efdomsub @ A_27a @ A_27b ) @ V0fm ) @ V1k ) ) @ V1k )
% 5.66/5.93 = ( ap @ ( ap @ ( c_2Efinite__map_2Efdomsub @ A_27a @ A_27b ) @ V0fm ) @ V1k ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EDOMSUB__COMMUTES,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0fm: $i] :
% 5.66/5.93 ( ( mem @ V0fm @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V1k1: $i] :
% 5.66/5.93 ( ( mem @ V1k1 @ A_27a )
% 5.66/5.93 => ! [V2k2: $i] :
% 5.66/5.93 ( ( mem @ V2k2 @ A_27a )
% 5.66/5.93 => ( ( ap @ ( ap @ ( c_2Efinite__map_2Efdomsub @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Efinite__map_2Efdomsub @ A_27a @ A_27b ) @ V0fm ) @ V1k1 ) ) @ V2k2 )
% 5.66/5.93 = ( ap @ ( ap @ ( c_2Efinite__map_2Efdomsub @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Efinite__map_2Efdomsub @ A_27a @ A_27b ) @ V0fm ) @ V2k2 ) ) @ V1k1 ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2Eo__f__FUPDATE,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,A_27c: del,V0f: $i] :
% 5.66/5.93 ( ( mem @ V0f @ ( arr @ A_27c @ A_27b ) )
% 5.66/5.93 => ! [V1fm: $i] :
% 5.66/5.93 ( ( mem @ V1fm @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27c ) )
% 5.66/5.93 => ! [V2k: $i] :
% 5.66/5.93 ( ( mem @ V2k @ A_27a )
% 5.66/5.93 => ! [V3v: $i] :
% 5.66/5.93 ( ( mem @ V3v @ A_27c )
% 5.66/5.93 => ( ( ap @ ( ap @ ( c_2Efinite__map_2Eo__f @ A_27a @ A_27c @ A_27b ) @ V0f ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE @ A_27a @ A_27c ) @ V1fm ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27c ) @ V2k ) @ V3v ) ) )
% 5.66/5.93 = ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Efinite__map_2Eo__f @ A_27a @ A_27c @ A_27b ) @ V0f ) @ V1fm ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V2k ) @ ( ap @ V0f @ V3v ) ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EDOMSUB__NOT__IN__DOM,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0k: $i] :
% 5.66/5.93 ( ( mem @ V0k @ A_27a )
% 5.66/5.93 => ! [V1fm: $i] :
% 5.66/5.93 ( ( mem @ V1fm @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ( ~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0k ) @ ( ap @ ( c_2Efinite__map_2EFDOM @ A_27a @ A_27b ) @ V1fm ) ) )
% 5.66/5.93 => ( ( ap @ ( ap @ ( c_2Efinite__map_2Efdomsub @ A_27a @ A_27b ) @ V1fm ) @ V0k )
% 5.66/5.93 = V1fm ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2Efmap__CASES,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.93 ( ( mem @ V0f @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ( ( V0f
% 5.66/5.93 = ( c_2Efinite__map_2EFEMPTY @ A_27a @ A_27b ) )
% 5.66/5.93 | ? [V1g: $i] :
% 5.66/5.93 ( ( mem @ V1g @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 & ? [V2x: $i] :
% 5.66/5.93 ( ( mem @ V2x @ A_27a )
% 5.66/5.93 & ? [V3y: $i] :
% 5.66/5.93 ( ( mem @ V3y @ A_27b )
% 5.66/5.93 & ( V0f
% 5.66/5.93 = ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE @ A_27a @ A_27b ) @ V1g ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V2x ) @ V3y ) ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2ESUBMAP__DOMSUB,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.93 ( ( mem @ V0f @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V1k: $i] :
% 5.66/5.93 ( ( mem @ V1k @ A_27a )
% 5.66/5.93 => ( p @ ( ap @ ( ap @ ( c_2Efinite__map_2ESUBMAP @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Efinite__map_2Efdomsub @ A_27a @ A_27b ) @ V0f ) @ V1k ) ) @ V0f ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EFMERGE__DOMSUB,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0m: $i] :
% 5.66/5.93 ( ( mem @ V0m @ ( arr @ A_27a @ ( arr @ A_27a @ A_27a ) ) )
% 5.66/5.93 => ! [V1m1: $i] :
% 5.66/5.93 ( ( mem @ V1m1 @ ( ty_2Efinite__map_2Efmap @ A_27b @ A_27a ) )
% 5.66/5.93 => ! [V2m2: $i] :
% 5.66/5.93 ( ( mem @ V2m2 @ ( ty_2Efinite__map_2Efmap @ A_27b @ A_27a ) )
% 5.66/5.93 => ! [V3k: $i] :
% 5.66/5.93 ( ( mem @ V3k @ A_27b )
% 5.66/5.93 => ( ( ap @ ( ap @ ( c_2Efinite__map_2Efdomsub @ A_27b @ A_27a ) @ ( ap @ ( ap @ ( ap @ ( c_2Efinite__map_2EFMERGE @ A_27a @ A_27b ) @ V0m ) @ V1m1 ) @ V2m2 ) ) @ V3k )
% 5.66/5.93 = ( ap @ ( ap @ ( ap @ ( c_2Efinite__map_2EFMERGE @ A_27a @ A_27b ) @ V0m ) @ ( ap @ ( ap @ ( c_2Efinite__map_2Efdomsub @ A_27b @ A_27a ) @ V1m1 ) @ V3k ) ) @ ( ap @ ( ap @ ( c_2Efinite__map_2Efdomsub @ A_27b @ A_27a ) @ V2m2 ) @ V3k ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2ESUBMAP__FUPDATE,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.93 ( ( mem @ V0f @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V1g: $i] :
% 5.66/5.93 ( ( mem @ V1g @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V2x: $i] :
% 5.66/5.93 ( ( mem @ V2x @ A_27a )
% 5.66/5.93 => ! [V3y: $i] :
% 5.66/5.93 ( ( mem @ V3y @ A_27b )
% 5.66/5.93 => ( ( p @ ( ap @ ( ap @ ( c_2Efinite__map_2ESUBMAP @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE @ A_27a @ A_27b ) @ V0f ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V2x ) @ V3y ) ) ) @ V1g ) )
% 5.66/5.93 <=> ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2x ) @ ( ap @ ( c_2Efinite__map_2EFDOM @ A_27a @ A_27b ) @ V1g ) ) )
% 5.66/5.93 & ( ( ap @ ( ap @ ( c_2Efinite__map_2EFAPPLY @ A_27a @ A_27b ) @ V1g ) @ V2x )
% 5.66/5.93 = V3y )
% 5.66/5.93 & ( p @ ( ap @ ( ap @ ( c_2Efinite__map_2ESUBMAP @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Efinite__map_2Efdomsub @ A_27a @ A_27b ) @ V0f ) @ V2x ) ) @ ( ap @ ( ap @ ( c_2Efinite__map_2Efdomsub @ A_27a @ A_27b ) @ V1g ) @ V2x ) ) ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(ax_thm_2Efinite__map_2EFUPDATE__LIST,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del] :
% 5.66/5.93 ( ( c_2Efinite__map_2EFUPDATE__LIST @ A_27a @ A_27b )
% 5.66/5.93 = ( ap @ ( c_2Elist_2EFOLDL @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) ) @ ( c_2Efinite__map_2EFUPDATE @ A_27a @ A_27b ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EFUPDATE__LIST__THM,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.93 ( ( mem @ V0f @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ( ( ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE__LIST @ A_27a @ A_27b ) @ V0f ) @ ( c_2Elist_2ENIL @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) )
% 5.66/5.93 = V0f )
% 5.66/5.93 & ! [V1h: $i] :
% 5.66/5.93 ( ( mem @ V1h @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V2t: $i] :
% 5.66/5.93 ( ( mem @ V2t @ ( ty_2Elist_2Elist @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) )
% 5.66/5.93 => ( ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE__LIST @ A_27a @ A_27b ) @ V0f ) @ ( ap @ ( ap @ ( c_2Elist_2ECONS @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ V1h ) @ V2t ) )
% 5.66/5.93 = ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE__LIST @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE @ A_27a @ A_27b ) @ V0f ) @ V1h ) ) @ V2t ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EFUPDATE__LIST__APPLY__NOT__MEM,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0kvl: $i] :
% 5.66/5.93 ( ( mem @ V0kvl @ ( ty_2Elist_2Elist @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) )
% 5.66/5.93 => ! [V1f: $i] :
% 5.66/5.93 ( ( mem @ V1f @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V2k: $i] :
% 5.66/5.93 ( ( mem @ V2k @ A_27a )
% 5.66/5.93 => ( ~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2k ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ A_27a ) @ ( c_2Epair_2EFST @ A_27a @ A_27b ) ) @ V0kvl ) ) ) )
% 5.66/5.93 => ( ( ap @ ( ap @ ( c_2Efinite__map_2EFAPPLY @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE__LIST @ A_27a @ A_27b ) @ V1f ) @ V0kvl ) ) @ V2k )
% 5.66/5.93 = ( ap @ ( ap @ ( c_2Efinite__map_2EFAPPLY @ A_27a @ A_27b ) @ V1f ) @ V2k ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EFUPDATE__LIST__APPEND,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0fm: $i] :
% 5.66/5.93 ( ( mem @ V0fm @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V1kvl1: $i] :
% 5.66/5.93 ( ( mem @ V1kvl1 @ ( ty_2Elist_2Elist @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) )
% 5.66/5.93 => ! [V2kvl2: $i] :
% 5.66/5.93 ( ( mem @ V2kvl2 @ ( ty_2Elist_2Elist @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) )
% 5.66/5.93 => ( ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE__LIST @ A_27a @ A_27b ) @ V0fm ) @ ( ap @ ( ap @ ( c_2Elist_2EAPPEND @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ V1kvl1 ) @ V2kvl2 ) )
% 5.66/5.93 = ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE__LIST @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE__LIST @ A_27a @ A_27b ) @ V0fm ) @ V1kvl1 ) ) @ V2kvl2 ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EFUPDATE__FUPDATE__LIST__COMMUTES,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0k: $i] :
% 5.66/5.93 ( ( mem @ V0k @ A_27a )
% 5.66/5.93 => ! [V1kvl: $i] :
% 5.66/5.93 ( ( mem @ V1kvl @ ( ty_2Elist_2Elist @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) )
% 5.66/5.93 => ! [V2fm: $i] :
% 5.66/5.93 ( ( mem @ V2fm @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V3v: $i] :
% 5.66/5.93 ( ( mem @ V3v @ A_27b )
% 5.66/5.93 => ( ~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0k ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ A_27a ) @ ( c_2Epair_2EFST @ A_27a @ A_27b ) ) @ V1kvl ) ) ) )
% 5.66/5.93 => ( ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE__LIST @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE @ A_27a @ A_27b ) @ V2fm ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V0k ) @ V3v ) ) ) @ V1kvl )
% 5.66/5.93 = ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE__LIST @ A_27a @ A_27b ) @ V2fm ) @ V1kvl ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V0k ) @ V3v ) ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EFUPDATE__FUPDATE__LIST__MEM,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0k: $i] :
% 5.66/5.93 ( ( mem @ V0k @ A_27a )
% 5.66/5.93 => ! [V1kvl: $i] :
% 5.66/5.93 ( ( mem @ V1kvl @ ( ty_2Elist_2Elist @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) )
% 5.66/5.93 => ! [V2fm: $i] :
% 5.66/5.93 ( ( mem @ V2fm @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V3v: $i] :
% 5.66/5.93 ( ( mem @ V3v @ A_27b )
% 5.66/5.93 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V0k ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ A_27a ) @ ( c_2Epair_2EFST @ A_27a @ A_27b ) ) @ V1kvl ) ) ) )
% 5.66/5.93 => ( ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE__LIST @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE @ A_27a @ A_27b ) @ V2fm ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V0k ) @ V3v ) ) ) @ V1kvl )
% 5.66/5.93 = ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE__LIST @ A_27a @ A_27b ) @ V2fm ) @ V1kvl ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EFEVERY__FUPDATE__LIST,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0kvl: $i] :
% 5.66/5.93 ( ( mem @ V0kvl @ ( ty_2Elist_2Elist @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) )
% 5.66/5.93 => ! [V1P: $i] :
% 5.66/5.93 ( ( mem @ V1P @ ( arr @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ bool ) )
% 5.66/5.93 => ! [V2fm: $i] :
% 5.66/5.93 ( ( mem @ V2fm @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ( ( p @ ( ap @ ( c_2Elist_2EALL__DISTINCT @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ A_27a ) @ ( c_2Epair_2EFST @ A_27a @ A_27b ) ) @ V0kvl ) ) )
% 5.66/5.93 => ( ( p @ ( ap @ ( ap @ ( c_2Efinite__map_2EFEVERY @ A_27a @ A_27b ) @ V1P ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE__LIST @ A_27a @ A_27b ) @ V2fm ) @ V0kvl ) ) )
% 5.66/5.93 <=> ( ( p @ ( ap @ ( ap @ ( c_2Elist_2EEVERY @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ V1P ) @ V0kvl ) )
% 5.66/5.93 & ( p @ ( ap @ ( ap @ ( c_2Efinite__map_2EFEVERY @ A_27a @ A_27b ) @ V1P ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EDRESTRICT @ A_27a @ A_27b ) @ V2fm ) @ ( ap @ ( c_2Epred__set_2ECOMPL @ A_27a ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ A_27a ) @ ( c_2Epair_2EFST @ A_27a @ A_27b ) ) @ V0kvl ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EFUPDATE__LIST__APPLY__MEM,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0kvl: $i] :
% 5.66/5.93 ( ( mem @ V0kvl @ ( ty_2Elist_2Elist @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) )
% 5.66/5.93 => ! [V1f: $i] :
% 5.66/5.93 ( ( mem @ V1f @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V2k: $i] :
% 5.66/5.93 ( ( mem @ V2k @ A_27a )
% 5.66/5.93 => ! [V3v: $i] :
% 5.66/5.93 ( ( mem @ V3v @ A_27b )
% 5.66/5.93 => ! [V4n: tp__ty_2Enum_2Enum] :
% 5.66/5.93 ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V4n ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ V0kvl ) ) )
% 5.66/5.93 & ( V2k
% 5.66/5.93 = ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V4n ) ) @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ A_27a ) @ ( c_2Epair_2EFST @ A_27a @ A_27b ) ) @ V0kvl ) ) )
% 5.66/5.93 & ( V3v
% 5.66/5.93 = ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V4n ) ) @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ A_27b ) @ ( c_2Epair_2ESND @ A_27a @ A_27b ) ) @ V0kvl ) ) )
% 5.66/5.93 & ! [V5m: tp__ty_2Enum_2Enum] :
% 5.66/5.93 ( ( ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V4n ) ) @ ( inj__ty_2Enum_2Enum @ V5m ) ) )
% 5.66/5.93 & ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V5m ) ) @ ( ap @ ( c_2Elist_2ELENGTH @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ V0kvl ) ) ) )
% 5.66/5.93 => ( ( ap @ ( ap @ ( c_2Elist_2EEL @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V5m ) ) @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ A_27a ) @ ( c_2Epair_2EFST @ A_27a @ A_27b ) ) @ V0kvl ) )
% 5.66/5.93 != V2k ) ) )
% 5.66/5.93 => ( ( ap @ ( ap @ ( c_2Efinite__map_2EFAPPLY @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE__LIST @ A_27a @ A_27b ) @ V1f ) @ V0kvl ) ) @ V2k )
% 5.66/5.93 = V3v ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EFOLDL__FUPDATE__LIST,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,A_27c: del,V0f1: $i] :
% 5.66/5.93 ( ( mem @ V0f1 @ ( arr @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V1f2: $i] :
% 5.66/5.93 ( ( mem @ V1f2 @ ( arr @ A_27a @ A_27c ) )
% 5.66/5.93 => ! [V2ls: $i] :
% 5.66/5.93 ( ( mem @ V2ls @ ( ty_2Elist_2Elist @ A_27a ) )
% 5.66/5.93 => ! [V3a: $i] :
% 5.66/5.93 ( ( mem @ V3a @ ( ty_2Efinite__map_2Efmap @ A_27b @ A_27c ) )
% 5.66/5.93 => ( ( ap
% 5.66/5.93 @ ( ap
% 5.66/5.93 @ ( ap @ ( c_2Elist_2EFOLDL @ A_27a @ ( ty_2Efinite__map_2Efmap @ A_27b @ A_27c ) )
% 5.66/5.93 @ ( lam @ ( ty_2Efinite__map_2Efmap @ A_27b @ A_27c )
% 5.66/5.93 @ ^ [V4fm: $i] :
% 5.66/5.93 ( lam @ A_27a
% 5.66/5.93 @ ^ [V5k: $i] : ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE @ A_27b @ A_27c ) @ V4fm ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27b @ A_27c ) @ ( ap @ V0f1 @ V5k ) ) @ ( ap @ V1f2 @ V5k ) ) ) ) ) )
% 5.66/5.93 @ V3a )
% 5.66/5.93 @ V2ls )
% 5.66/5.93 = ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE__LIST @ A_27b @ A_27c ) @ V3a )
% 5.66/5.93 @ ( ap
% 5.66/5.93 @ ( ap @ ( c_2Elist_2EMAP @ A_27a @ ( ty_2Epair_2Eprod @ A_27b @ A_27c ) )
% 5.66/5.93 @ ( lam @ A_27a
% 5.66/5.93 @ ^ [V6k: $i] : ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27b @ A_27c ) @ ( ap @ V0f1 @ V6k ) ) @ ( ap @ V1f2 @ V6k ) ) ) )
% 5.66/5.93 @ V2ls ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EFUPDATE__LIST__SNOC,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0xs: $i] :
% 5.66/5.93 ( ( mem @ V0xs @ ( ty_2Elist_2Elist @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) )
% 5.66/5.93 => ! [V1x: $i] :
% 5.66/5.93 ( ( mem @ V1x @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V2fm: $i] :
% 5.66/5.93 ( ( mem @ V2fm @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ( ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE__LIST @ A_27a @ A_27b ) @ V2fm ) @ ( ap @ ( ap @ ( c_2Elist_2ESNOC @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ V1x ) @ V0xs ) )
% 5.66/5.93 = ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE__LIST @ A_27a @ A_27b ) @ V2fm ) @ V0xs ) ) @ V1x ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EFUPD11__SAME__KEY__AND__BASE,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.93 ( ( mem @ V0f @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V1k: $i] :
% 5.66/5.93 ( ( mem @ V1k @ A_27a )
% 5.66/5.93 => ! [V2v1: $i] :
% 5.66/5.93 ( ( mem @ V2v1 @ A_27b )
% 5.66/5.93 => ! [V3v2: $i] :
% 5.66/5.93 ( ( mem @ V3v2 @ A_27b )
% 5.66/5.93 => ( ( ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE @ A_27a @ A_27b ) @ V0f ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V1k ) @ V2v1 ) )
% 5.66/5.93 = ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE @ A_27a @ A_27b ) @ V0f ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V1k ) @ V3v2 ) ) )
% 5.66/5.93 <=> ( V2v1 = V3v2 ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EFUPD11__SAME__NEW__KEY,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0f1: $i] :
% 5.66/5.93 ( ( mem @ V0f1 @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V1f2: $i] :
% 5.66/5.93 ( ( mem @ V1f2 @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V2k: $i] :
% 5.66/5.93 ( ( mem @ V2k @ A_27a )
% 5.66/5.93 => ! [V3v1: $i] :
% 5.66/5.93 ( ( mem @ V3v1 @ A_27b )
% 5.66/5.93 => ! [V4v2: $i] :
% 5.66/5.93 ( ( mem @ V4v2 @ A_27b )
% 5.66/5.93 => ( ( ~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2k ) @ ( ap @ ( c_2Efinite__map_2EFDOM @ A_27a @ A_27b ) @ V0f1 ) ) )
% 5.66/5.93 & ~ ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V2k ) @ ( ap @ ( c_2Efinite__map_2EFDOM @ A_27a @ A_27b ) @ V1f2 ) ) ) )
% 5.66/5.93 => ( ( ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE @ A_27a @ A_27b ) @ V0f1 ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V2k ) @ V3v1 ) )
% 5.66/5.93 = ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE @ A_27a @ A_27b ) @ V1f2 ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V2k ) @ V4v2 ) ) )
% 5.66/5.93 <=> ( ( V0f1 = V1f2 )
% 5.66/5.93 & ( V3v1 = V4v2 ) ) ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2ESAME__KEY__UPDATES__DIFFER,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0f1: $i] :
% 5.66/5.93 ( ( mem @ V0f1 @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V1f2: $i] :
% 5.66/5.93 ( ( mem @ V1f2 @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V2k: $i] :
% 5.66/5.93 ( ( mem @ V2k @ A_27a )
% 5.66/5.93 => ! [V3v1: $i] :
% 5.66/5.93 ( ( mem @ V3v1 @ A_27b )
% 5.66/5.93 => ! [V4v2: $i] :
% 5.66/5.93 ( ( mem @ V4v2 @ A_27b )
% 5.66/5.93 => ( ( V3v1 != V4v2 )
% 5.66/5.93 => ( ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE @ A_27a @ A_27b ) @ V0f1 ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V2k ) @ V3v1 ) )
% 5.66/5.93 != ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE @ A_27a @ A_27b ) @ V1f2 ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V2k ) @ V4v2 ) ) ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EFUPD11__SAME__BASE,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0f: $i] :
% 5.66/5.93 ( ( mem @ V0f @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V1k1: $i] :
% 5.66/5.93 ( ( mem @ V1k1 @ A_27a )
% 5.66/5.93 => ! [V2v1: $i] :
% 5.66/5.93 ( ( mem @ V2v1 @ A_27b )
% 5.66/5.93 => ! [V3k2: $i] :
% 5.66/5.93 ( ( mem @ V3k2 @ A_27a )
% 5.66/5.93 => ! [V4v2: $i] :
% 5.66/5.93 ( ( mem @ V4v2 @ A_27b )
% 5.66/5.93 => ( ( ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE @ A_27a @ A_27b ) @ V0f ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V1k1 ) @ V2v1 ) )
% 5.66/5.93 = ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE @ A_27a @ A_27b ) @ V0f ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V3k2 ) @ V4v2 ) ) )
% 5.66/5.93 <=> ( ( ( V1k1 = V3k2 )
% 5.66/5.93 & ( V2v1 = V4v2 ) )
% 5.66/5.93 | ( ( V1k1 != V3k2 )
% 5.66/5.93 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V1k1 ) @ ( ap @ ( c_2Efinite__map_2EFDOM @ A_27a @ A_27b ) @ V0f ) ) )
% 5.66/5.93 & ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A_27a ) @ V3k2 ) @ ( ap @ ( c_2Efinite__map_2EFDOM @ A_27a @ A_27b ) @ V0f ) ) )
% 5.66/5.93 & ( ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE @ A_27a @ A_27b ) @ V0f ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V1k1 ) @ V2v1 ) )
% 5.66/5.93 = V0f )
% 5.66/5.93 & ( ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE @ A_27a @ A_27b ) @ V0f ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V3k2 ) @ V4v2 ) )
% 5.66/5.93 = V0f ) ) ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EFUPD__SAME__KEY__UNWIND,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0f1: $i] :
% 5.66/5.93 ( ( mem @ V0f1 @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V1f2: $i] :
% 5.66/5.93 ( ( mem @ V1f2 @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V2k: $i] :
% 5.66/5.93 ( ( mem @ V2k @ A_27a )
% 5.66/5.93 => ! [V3v1: $i] :
% 5.66/5.93 ( ( mem @ V3v1 @ A_27b )
% 5.66/5.93 => ! [V4v2: $i] :
% 5.66/5.93 ( ( mem @ V4v2 @ A_27b )
% 5.66/5.93 => ( ( ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE @ A_27a @ A_27b ) @ V0f1 ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V2k ) @ V3v1 ) )
% 5.66/5.93 = ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE @ A_27a @ A_27b ) @ V1f2 ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V2k ) @ V4v2 ) ) )
% 5.66/5.93 => ( ( V3v1 = V4v2 )
% 5.66/5.93 & ! [V5v: $i] :
% 5.66/5.93 ( ( mem @ V5v @ A_27b )
% 5.66/5.93 => ( ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE @ A_27a @ A_27b ) @ V0f1 ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V2k ) @ V5v ) )
% 5.66/5.93 = ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE @ A_27a @ A_27b ) @ V1f2 ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V2k ) @ V5v ) ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EFUPD11__SAME__UPDATE,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0f1: $i] :
% 5.66/5.93 ( ( mem @ V0f1 @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V1f2: $i] :
% 5.66/5.93 ( ( mem @ V1f2 @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V2k: $i] :
% 5.66/5.93 ( ( mem @ V2k @ A_27a )
% 5.66/5.93 => ! [V3v: $i] :
% 5.66/5.93 ( ( mem @ V3v @ A_27b )
% 5.66/5.93 => ( ( ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE @ A_27a @ A_27b ) @ V0f1 ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V2k ) @ V3v ) )
% 5.66/5.93 = ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE @ A_27a @ A_27b ) @ V1f2 ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V2k ) @ V3v ) ) )
% 5.66/5.93 <=> ( ( ap @ ( ap @ ( c_2Efinite__map_2EDRESTRICT @ A_27a @ A_27b ) @ V0f1 ) @ ( ap @ ( c_2Epred__set_2ECOMPL @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V2k ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) )
% 5.66/5.93 = ( ap @ ( ap @ ( c_2Efinite__map_2EDRESTRICT @ A_27a @ A_27b ) @ V1f2 ) @ ( ap @ ( c_2Epred__set_2ECOMPL @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EINSERT @ A_27a ) @ V2k ) @ ( c_2Epred__set_2EEMPTY @ A_27a ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EFDOM__FUPDATE__LIST,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0kvl: $i] :
% 5.66/5.93 ( ( mem @ V0kvl @ ( ty_2Elist_2Elist @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) )
% 5.66/5.93 => ! [V1fm: $i] :
% 5.66/5.93 ( ( mem @ V1fm @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ( ( ap @ ( c_2Efinite__map_2EFDOM @ A_27a @ A_27b ) @ ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE__LIST @ A_27a @ A_27b ) @ V1fm ) @ V0kvl ) )
% 5.66/5.93 = ( ap @ ( ap @ ( c_2Epred__set_2EUNION @ A_27a ) @ ( ap @ ( c_2Efinite__map_2EFDOM @ A_27a @ A_27b ) @ V1fm ) ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ A_27a ) @ ( c_2Epair_2EFST @ A_27a @ A_27b ) ) @ V0kvl ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EFUPDATE__LIST__SAME__UPDATE,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0kvl: $i] :
% 5.66/5.93 ( ( mem @ V0kvl @ ( ty_2Elist_2Elist @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) )
% 5.66/5.93 => ! [V1f1: $i] :
% 5.66/5.93 ( ( mem @ V1f1 @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V2f2: $i] :
% 5.66/5.93 ( ( mem @ V2f2 @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ( ( ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE__LIST @ A_27a @ A_27b ) @ V1f1 ) @ V0kvl )
% 5.66/5.93 = ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE__LIST @ A_27a @ A_27b ) @ V2f2 ) @ V0kvl ) )
% 5.66/5.93 <=> ( ( ap @ ( ap @ ( c_2Efinite__map_2EDRESTRICT @ A_27a @ A_27b ) @ V1f1 ) @ ( ap @ ( c_2Epred__set_2ECOMPL @ A_27a ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ A_27a ) @ ( c_2Epair_2EFST @ A_27a @ A_27b ) ) @ V0kvl ) ) ) )
% 5.66/5.93 = ( ap @ ( ap @ ( c_2Efinite__map_2EDRESTRICT @ A_27a @ A_27b ) @ V2f2 ) @ ( ap @ ( c_2Epred__set_2ECOMPL @ A_27a ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ A_27a ) @ ( c_2Epair_2EFST @ A_27a @ A_27b ) ) @ V0kvl ) ) ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EFUPDATE__LIST__SAME__KEYS__UNWIND,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0f1: $i] :
% 5.66/5.93 ( ( mem @ V0f1 @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V1f2: $i] :
% 5.66/5.93 ( ( mem @ V1f2 @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V2kvl1: $i] :
% 5.66/5.93 ( ( mem @ V2kvl1 @ ( ty_2Elist_2Elist @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) )
% 5.66/5.93 => ! [V3kvl2: $i] :
% 5.66/5.93 ( ( mem @ V3kvl2 @ ( ty_2Elist_2Elist @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) )
% 5.66/5.93 => ( ( ( ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE__LIST @ A_27a @ A_27b ) @ V0f1 ) @ V2kvl1 )
% 5.66/5.93 = ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE__LIST @ A_27a @ A_27b ) @ V1f2 ) @ V3kvl2 ) )
% 5.66/5.93 & ( ( ap @ ( ap @ ( c_2Elist_2EMAP @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ A_27a ) @ ( c_2Epair_2EFST @ A_27a @ A_27b ) ) @ V2kvl1 )
% 5.66/5.93 = ( ap @ ( ap @ ( c_2Elist_2EMAP @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ A_27a ) @ ( c_2Epair_2EFST @ A_27a @ A_27b ) ) @ V3kvl2 ) )
% 5.66/5.93 & ( p @ ( ap @ ( c_2Elist_2EALL__DISTINCT @ A_27a ) @ ( ap @ ( ap @ ( c_2Elist_2EMAP @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ A_27a ) @ ( c_2Epair_2EFST @ A_27a @ A_27b ) ) @ V2kvl1 ) ) ) )
% 5.66/5.93 => ( ( V2kvl1 = V3kvl2 )
% 5.66/5.93 & ! [V4kvl: $i] :
% 5.66/5.93 ( ( mem @ V4kvl @ ( ty_2Elist_2Elist @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) )
% 5.66/5.93 => ( ( ( ap @ ( ap @ ( c_2Elist_2EMAP @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ A_27a ) @ ( c_2Epair_2EFST @ A_27a @ A_27b ) ) @ V4kvl )
% 5.66/5.93 = ( ap @ ( ap @ ( c_2Elist_2EMAP @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) @ A_27a ) @ ( c_2Epair_2EFST @ A_27a @ A_27b ) ) @ V2kvl1 ) )
% 5.66/5.93 => ( ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE__LIST @ A_27a @ A_27b ) @ V0f1 ) @ V4kvl )
% 5.66/5.93 = ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE__LIST @ A_27a @ A_27b ) @ V1f2 ) @ V4kvl ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EFMEQ__ENUMERATE__CASES,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0f1: $i] :
% 5.66/5.93 ( ( mem @ V0f1 @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V1kvl: $i] :
% 5.66/5.93 ( ( mem @ V1kvl @ ( ty_2Elist_2Elist @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) )
% 5.66/5.93 => ! [V2p: $i] :
% 5.66/5.93 ( ( mem @ V2p @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) )
% 5.66/5.93 => ( ( ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE @ A_27a @ A_27b ) @ V0f1 ) @ V2p )
% 5.66/5.93 = ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE__LIST @ A_27a @ A_27b ) @ ( c_2Efinite__map_2EFEMPTY @ A_27a @ A_27b ) ) @ V1kvl ) )
% 5.66/5.93 => ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ V2p ) @ ( ap @ ( c_2Elist_2ELIST__TO__SET @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) @ V1kvl ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EFMEQ__SINGLE__SIMPLE__ELIM,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0P: $i] :
% 5.66/5.93 ( ( mem @ V0P @ ( arr @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) @ bool ) )
% 5.66/5.93 => ! [V1k: $i] :
% 5.66/5.93 ( ( mem @ V1k @ A_27a )
% 5.66/5.93 => ! [V2v: $i] :
% 5.66/5.93 ( ( mem @ V2v @ A_27b )
% 5.66/5.93 => ! [V3ck: $i] :
% 5.66/5.93 ( ( mem @ V3ck @ A_27a )
% 5.66/5.93 => ! [V4cv: $i] :
% 5.66/5.93 ( ( mem @ V4cv @ A_27b )
% 5.66/5.93 => ! [V5nv: $i] :
% 5.66/5.93 ( ( mem @ V5nv @ A_27b )
% 5.66/5.93 => ( ? [V6fm: $i] :
% 5.66/5.93 ( ( mem @ V6fm @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 & ( ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE @ A_27a @ A_27b ) @ V6fm ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V1k ) @ V2v ) )
% 5.66/5.93 = ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE @ A_27a @ A_27b ) @ ( c_2Efinite__map_2EFEMPTY @ A_27a @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V3ck ) @ V4cv ) ) )
% 5.66/5.93 & ( p @ ( ap @ V0P @ ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE @ A_27a @ A_27b ) @ V6fm ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V1k ) @ V5nv ) ) ) ) )
% 5.66/5.93 <=> ( ( V1k = V3ck )
% 5.66/5.93 & ( V2v = V4cv )
% 5.66/5.93 & ( p @ ( ap @ V0P @ ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE @ A_27a @ A_27b ) @ ( c_2Efinite__map_2EFEMPTY @ A_27a @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V3ck ) @ V5nv ) ) ) ) ) ) ) ) ) ) ) ) ).
% 5.66/5.93
% 5.66/5.93 thf(conj_thm_2Efinite__map_2EFMEQ__SINGLE__SIMPLE__DISJ__ELIM,axiom,
% 5.66/5.93 ! [A_27a: del,A_27b: del,V0fm: $i] :
% 5.66/5.93 ( ( mem @ V0fm @ ( ty_2Efinite__map_2Efmap @ A_27a @ A_27b ) )
% 5.66/5.93 => ! [V1k: $i] :
% 5.66/5.93 ( ( mem @ V1k @ A_27a )
% 5.66/5.93 => ! [V2v: $i] :
% 5.66/5.93 ( ( mem @ V2v @ A_27b )
% 5.66/5.93 => ! [V3ck: $i] :
% 5.66/5.93 ( ( mem @ V3ck @ A_27a )
% 5.66/5.93 => ! [V4cv: $i] :
% 5.66/5.93 ( ( mem @ V4cv @ A_27b )
% 5.66/5.93 => ( ( ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE @ A_27a @ A_27b ) @ V0fm ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V1k ) @ V2v ) )
% 5.66/5.93 = ( ap @ ( ap @ ( c_2Efinite__map_2EFUPDATE @ A_27a @ A_27b ) @ ( c_2Efinite__map_2EFEMPTY @ A_27a @ A_27b ) ) @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ V3ck ) @ V4cv ) ) )
% 5.66/5.93 <